TSTP Solution File: HWV001-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV001-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 : Sat Jul 16 18:25:02 EDT 2022
% Result : Unsatisfiable 3.17s 3.33s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 174
% Number of leaves : 1142
% Syntax : Number of clauses : 4235 (1957 unt; 0 nHn;3702 RR)
% Number of literals : 7564 (7497 equ;3334 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-2 aty)
% Number of variables : 1182 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(and_definition1,axiom,
and(X,n0) = n0 ).
cnf(and_definition2,axiom,
and(X,n1) = X ).
cnf(or_definition1,axiom,
or(X,n0) = X ).
cnf(or_definition2,axiom,
or(X,n1) = n1 ).
cnf(not_definition1,axiom,
not(n0) = n1 ).
cnf(not_definition2,axiom,
not(n1) = n0 ).
cnf(and_commutativity,axiom,
and(X,Y) = and(Y,X) ).
cnf(or_commutativity,axiom,
or(X,Y) = or(Y,X) ).
cnf(and_associativity,axiom,
and(X,and(Y,Z)) = and(and(X,Y),Z) ).
cnf(or_associativity,axiom,
or(X,or(Y,Z)) = or(or(X,Y),Z) ).
cnf(or_sorting,axiom,
or(or(X,Y),Z) = or(or(X,Z),Y) ).
cnf(and_sorting,axiom,
and(and(X,Y),Z) = and(and(X,Z),Y) ).
cnf(not_canonicalization1,axiom,
not(and(X,Y)) = or(not(X),not(Y)) ).
cnf(not_canonicalization2,axiom,
not(or(X,Y)) = and(not(X),not(Y)) ).
cnf(and_simplification3,axiom,
and(and(X,Y),X) = and(X,Y) ).
cnf(or_simplification3,axiom,
or(or(X,Y),X) = or(X,Y) ).
cnf(and_not_simplification1,axiom,
and(X,not(X)) = n0 ).
cnf(and_not_simplification3,axiom,
and(and(X,Y),not(X)) = n0 ).
cnf(or_not_simplification1,axiom,
or(X,not(X)) = n1 ).
cnf(or_not_simplification3,axiom,
or(or(X,Y),not(X)) = n1 ).
cnf(not_simplification,axiom,
not(not(X)) = X ).
cnf(and_or_not_simplification2,axiom,
or(and(X,Y),and(Y,not(X))) = Y ).
cnf(constructor1,negated_conjecture,
a1 = and(b1,b3) ).
cnf(constructor2,negated_conjecture,
a2 = and(b2,b3) ).
cnf(constructor3,negated_conjecture,
b1 = not(d1) ).
cnf(constructor4,negated_conjecture,
b2 = not(d2) ).
cnf(constructor5,negated_conjecture,
b3 = or(c1,c2) ).
cnf(constructor6,negated_conjecture,
c1 = or(d1,d3) ).
cnf(constructor7,negated_conjecture,
c2 = or(d2,d3) ).
cnf(constructor8,negated_conjecture,
d3 = f3 ).
cnf(constructor9,negated_conjecture,
d1 = not(e1) ).
cnf(constructor10,negated_conjecture,
d2 = not(e2) ).
cnf(constructor11,negated_conjecture,
e1 = or(f1,f3) ).
cnf(constructor12,negated_conjecture,
e2 = or(f2,f3) ).
cnf(constructor13,negated_conjecture,
f1 = not(i1) ).
cnf(constructor14,negated_conjecture,
f2 = not(i2) ).
cnf(constructor15,negated_conjecture,
f3 = and(i1,i2) ).
cnf(circuit_description,negated_conjecture,
circuit(input(i1,i2),output(a1,a2)) ).
cnf(prove_interchange,negated_conjecture,
~ circuit(input(i1,i2),output(i2,i1)) ).
cnf(refute_0_0,plain,
or(and(d1,i1),and(i1,not(d1))) = i1,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d1)),bind(Y,$fot(i1))]]) ).
cnf(refute_0_1,plain,
or(and(f1,X_14),and(X_14,not(f1))) = X_14,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(f1)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_2,plain,
not(not(i1)) = i1,
inference(subst,[],[not_simplification:[bind(X,$fot(i1))]]) ).
cnf(refute_0_3,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_4,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_5,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( f1 != not(i1)
| not(i1) = f1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(f1)),bind(Y0,$fot(not(i1)))]]) ).
cnf(refute_0_7,plain,
not(i1) = f1,
inference(resolve,[$cnf( $equal(f1,not(i1)) )],[constructor13,refute_0_6]) ).
cnf(refute_0_8,plain,
( not(i1) != f1
| not(not(i1)) != i1
| not(f1) = i1 ),
introduced(tautology,[equality,[$cnf( $equal(not(not(i1)),i1) ),[0,0],$fot(f1)]]) ).
cnf(refute_0_9,plain,
( not(not(i1)) != i1
| not(f1) = i1 ),
inference(resolve,[$cnf( $equal(not(i1),f1) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
not(f1) = i1,
inference(resolve,[$cnf( $equal(not(not(i1)),i1) )],[refute_0_2,refute_0_9]) ).
cnf(refute_0_11,plain,
( not(f1) != i1
| or(and(f1,X_14),and(X_14,not(f1))) != X_14
| or(and(f1,X_14),and(X_14,i1)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f1,X_14),and(X_14,not(f1))),X_14) ),[0,1,1],$fot(i1)]]) ).
cnf(refute_0_12,plain,
( or(and(f1,X_14),and(X_14,not(f1))) != X_14
| or(and(f1,X_14),and(X_14,i1)) = X_14 ),
inference(resolve,[$cnf( $equal(not(f1),i1) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
or(and(f1,X_14),and(X_14,i1)) = X_14,
inference(resolve,[$cnf( $equal(or(and(f1,X_14),and(X_14,not(f1))),X_14) )],[refute_0_1,refute_0_12]) ).
cnf(refute_0_14,plain,
or(and(f1,X_23),and(X_23,i1)) = X_23,
inference(subst,[],[refute_0_13:[bind(X_14,$fot(X_23))]]) ).
cnf(refute_0_15,plain,
and(X_23,f1) = and(f1,X_23),
inference(subst,[],[and_commutativity:[bind(X,$fot(X_23)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_16,plain,
( and(X_23,f1) != and(f1,X_23)
| and(f1,X_23) = and(X_23,f1) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(X_23,f1))),bind(Y0,$fot(and(f1,X_23)))]]) ).
cnf(refute_0_17,plain,
and(f1,X_23) = and(X_23,f1),
inference(resolve,[$cnf( $equal(and(X_23,f1),and(f1,X_23)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( and(f1,X_23) != and(X_23,f1)
| or(and(f1,X_23),and(X_23,i1)) != X_23
| or(and(X_23,f1),and(X_23,i1)) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f1,X_23),and(X_23,i1)),X_23) ),[0,0],$fot(and(X_23,f1))]]) ).
cnf(refute_0_19,plain,
( or(and(f1,X_23),and(X_23,i1)) != X_23
| or(and(X_23,f1),and(X_23,i1)) = X_23 ),
inference(resolve,[$cnf( $equal(and(f1,X_23),and(X_23,f1)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
or(and(X_23,f1),and(X_23,i1)) = X_23,
inference(resolve,[$cnf( $equal(or(and(f1,X_23),and(X_23,i1)),X_23) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
or(and(X_36,f1),and(X_36,i1)) = X_36,
inference(subst,[],[refute_0_20:[bind(X_23,$fot(X_36))]]) ).
cnf(refute_0_22,plain,
and(i1,X_36) = and(X_36,i1),
inference(subst,[],[and_commutativity:[bind(X,$fot(i1)),bind(Y,$fot(X_36))]]) ).
cnf(refute_0_23,plain,
( and(i1,X_36) != and(X_36,i1)
| and(X_36,i1) = and(i1,X_36) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(i1,X_36))),bind(Y0,$fot(and(X_36,i1)))]]) ).
cnf(refute_0_24,plain,
and(X_36,i1) = and(i1,X_36),
inference(resolve,[$cnf( $equal(and(i1,X_36),and(X_36,i1)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( and(X_36,i1) != and(i1,X_36)
| or(and(X_36,f1),and(X_36,i1)) != X_36
| or(and(X_36,f1),and(i1,X_36)) = X_36 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_36,f1),and(X_36,i1)),X_36) ),[0,1],$fot(and(i1,X_36))]]) ).
cnf(refute_0_26,plain,
( or(and(X_36,f1),and(X_36,i1)) != X_36
| or(and(X_36,f1),and(i1,X_36)) = X_36 ),
inference(resolve,[$cnf( $equal(and(X_36,i1),and(i1,X_36)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
or(and(X_36,f1),and(i1,X_36)) = X_36,
inference(resolve,[$cnf( $equal(or(and(X_36,f1),and(X_36,i1)),X_36) )],[refute_0_21,refute_0_26]) ).
cnf(refute_0_28,plain,
or(and(d1,f1),and(i1,d1)) = d1,
inference(subst,[],[refute_0_27:[bind(X_36,$fot(d1))]]) ).
cnf(refute_0_29,plain,
not(not(and(d1,f1))) = and(d1,f1),
inference(subst,[],[not_simplification:[bind(X,$fot(and(d1,f1)))]]) ).
cnf(refute_0_30,plain,
not(and(X_109,d1)) = or(not(X_109),not(d1)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(d1))]]) ).
cnf(refute_0_31,plain,
( b1 != not(d1)
| not(d1) = b1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b1)),bind(Y0,$fot(not(d1)))]]) ).
cnf(refute_0_32,plain,
not(d1) = b1,
inference(resolve,[$cnf( $equal(b1,not(d1)) )],[constructor3,refute_0_31]) ).
cnf(refute_0_33,plain,
( not(and(X_109,d1)) != or(not(X_109),not(d1))
| not(d1) != b1
| not(and(X_109,d1)) = or(not(X_109),b1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,d1)),or(not(X_109),not(d1))) ),[1,1],$fot(b1)]]) ).
cnf(refute_0_34,plain,
( not(and(X_109,d1)) != or(not(X_109),not(d1))
| not(and(X_109,d1)) = or(not(X_109),b1) ),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
not(and(X_109,d1)) = or(not(X_109),b1),
inference(resolve,[$cnf( $equal(not(and(X_109,d1)),or(not(X_109),not(d1))) )],[refute_0_30,refute_0_34]) ).
cnf(refute_0_36,plain,
( or(X,Y) != or(Y,X)
| or(Y,X) = or(X,Y) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(X,Y))),bind(Y0,$fot(or(Y,X)))]]) ).
cnf(refute_0_37,plain,
or(Y,X) = or(X,Y),
inference(resolve,[$cnf( $equal(or(X,Y),or(Y,X)) )],[or_commutativity,refute_0_36]) ).
cnf(refute_0_38,plain,
or(not(X_109),b1) = or(b1,not(X_109)),
inference(subst,[],[refute_0_37:[bind(X,$fot(b1)),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_39,plain,
( not(and(X_109,d1)) != or(not(X_109),b1)
| or(not(X_109),b1) != or(b1,not(X_109))
| not(and(X_109,d1)) = or(b1,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,d1)),or(b1,not(X_109))) ),[0],$fot(or(not(X_109),b1))]]) ).
cnf(refute_0_40,plain,
( not(and(X_109,d1)) != or(not(X_109),b1)
| not(and(X_109,d1)) = or(b1,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),b1),or(b1,not(X_109))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
not(and(X_109,d1)) = or(b1,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,d1)),or(not(X_109),b1)) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
not(and(f1,d1)) = or(b1,not(f1)),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(f1))]]) ).
cnf(refute_0_43,plain,
( not(and(f1,d1)) != or(b1,not(f1))
| not(f1) != i1
| not(and(f1,d1)) = or(b1,i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,d1)),or(b1,not(f1))) ),[1,1],$fot(i1)]]) ).
cnf(refute_0_44,plain,
( not(and(f1,d1)) != or(b1,not(f1))
| not(and(f1,d1)) = or(b1,i1) ),
inference(resolve,[$cnf( $equal(not(f1),i1) )],[refute_0_10,refute_0_43]) ).
cnf(refute_0_45,plain,
not(and(f1,d1)) = or(b1,i1),
inference(resolve,[$cnf( $equal(not(and(f1,d1)),or(b1,not(f1))) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
not(and(X_111,d1)) = or(b1,not(X_111)),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(X_111))]]) ).
cnf(refute_0_47,plain,
and(d1,X_111) = and(X_111,d1),
inference(subst,[],[and_commutativity:[bind(X,$fot(d1)),bind(Y,$fot(X_111))]]) ).
cnf(refute_0_48,plain,
( and(d1,X_111) != and(X_111,d1)
| and(X_111,d1) = and(d1,X_111) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(d1,X_111))),bind(Y0,$fot(and(X_111,d1)))]]) ).
cnf(refute_0_49,plain,
and(X_111,d1) = and(d1,X_111),
inference(resolve,[$cnf( $equal(and(d1,X_111),and(X_111,d1)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( and(X_111,d1) != and(d1,X_111)
| not(and(X_111,d1)) != or(b1,not(X_111))
| not(and(d1,X_111)) = or(b1,not(X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_111,d1)),or(b1,not(X_111))) ),[0,0],$fot(and(d1,X_111))]]) ).
cnf(refute_0_51,plain,
( not(and(X_111,d1)) != or(b1,not(X_111))
| not(and(d1,X_111)) = or(b1,not(X_111)) ),
inference(resolve,[$cnf( $equal(and(X_111,d1),and(d1,X_111)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
not(and(d1,X_111)) = or(b1,not(X_111)),
inference(resolve,[$cnf( $equal(not(and(X_111,d1)),or(b1,not(X_111))) )],[refute_0_46,refute_0_51]) ).
cnf(refute_0_53,plain,
( not(and(X_109,d1)) != or(b1,not(X_109))
| or(b1,not(X_109)) = not(and(X_109,d1)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,d1)))),bind(Y0,$fot(or(b1,not(X_109))))]]) ).
cnf(refute_0_54,plain,
or(b1,not(X_109)) = not(and(X_109,d1)),
inference(resolve,[$cnf( $equal(not(and(X_109,d1)),or(b1,not(X_109))) )],[refute_0_41,refute_0_53]) ).
cnf(refute_0_55,plain,
or(b1,not(X_111)) = not(and(X_111,d1)),
inference(subst,[],[refute_0_54:[bind(X_109,$fot(X_111))]]) ).
cnf(refute_0_56,plain,
( not(and(d1,X_111)) != or(b1,not(X_111))
| or(b1,not(X_111)) != not(and(X_111,d1))
| not(and(d1,X_111)) = not(and(X_111,d1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d1,X_111)),not(and(X_111,d1))) ),[0],$fot(or(b1,not(X_111)))]]) ).
cnf(refute_0_57,plain,
( not(and(d1,X_111)) != or(b1,not(X_111))
| not(and(d1,X_111)) = not(and(X_111,d1)) ),
inference(resolve,[$cnf( $equal(or(b1,not(X_111)),not(and(X_111,d1))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
not(and(d1,X_111)) = not(and(X_111,d1)),
inference(resolve,[$cnf( $equal(not(and(d1,X_111)),or(b1,not(X_111))) )],[refute_0_52,refute_0_57]) ).
cnf(refute_0_59,plain,
( not(and(d1,X_111)) != not(and(X_111,d1))
| not(and(X_111,d1)) = not(and(d1,X_111)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(d1,X_111)))),bind(Y0,$fot(not(and(X_111,d1))))]]) ).
cnf(refute_0_60,plain,
not(and(X_111,d1)) = not(and(d1,X_111)),
inference(resolve,[$cnf( $equal(not(and(d1,X_111)),not(and(X_111,d1))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
not(and(f1,d1)) = not(and(d1,f1)),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(f1))]]) ).
cnf(refute_0_62,plain,
( not(and(f1,d1)) != not(and(d1,f1))
| not(and(f1,d1)) != or(b1,i1)
| not(and(d1,f1)) = or(b1,i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,d1)),or(b1,i1)) ),[0],$fot(not(and(d1,f1)))]]) ).
cnf(refute_0_63,plain,
( not(and(f1,d1)) != or(b1,i1)
| not(and(d1,f1)) = or(b1,i1) ),
inference(resolve,[$cnf( $equal(not(and(f1,d1)),not(and(d1,f1))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( or(X,or(Y,Z)) != or(or(X,Y),Z)
| or(or(X,Y),Z) = or(X,or(Y,Z)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(X,or(Y,Z)))),bind(Y0,$fot(or(or(X,Y),Z)))]]) ).
cnf(refute_0_65,plain,
or(or(X,Y),Z) = or(X,or(Y,Z)),
inference(resolve,[$cnf( $equal(or(X,or(Y,Z)),or(or(X,Y),Z)) )],[or_associativity,refute_0_64]) ).
cnf(refute_0_66,plain,
or(or(X,Y),not(X)) = or(X,or(Y,not(X))),
inference(subst,[],[refute_0_65:[bind(Z,$fot(not(X)))]]) ).
cnf(refute_0_67,plain,
( or(or(X,Y),not(X)) != n1
| or(or(X,Y),not(X)) != or(X,or(Y,not(X)))
| or(X,or(Y,not(X))) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,Y),not(X)),n1) ),[0],$fot(or(X,or(Y,not(X))))]]) ).
cnf(refute_0_68,plain,
( or(or(X,Y),not(X)) != n1
| or(X,or(Y,not(X))) = n1 ),
inference(resolve,[$cnf( $equal(or(or(X,Y),not(X)),or(X,or(Y,not(X)))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
or(X,or(Y,not(X))) = n1,
inference(resolve,[$cnf( $equal(or(or(X,Y),not(X)),n1) )],[or_not_simplification3,refute_0_68]) ).
cnf(refute_0_70,plain,
or(i1,or(X_59,not(i1))) = n1,
inference(subst,[],[refute_0_69:[bind(X,$fot(i1)),bind(Y,$fot(X_59))]]) ).
cnf(refute_0_71,plain,
( not(i1) != f1
| or(i1,or(X_59,not(i1))) != n1
| or(i1,or(X_59,f1)) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(i1,or(X_59,not(i1))),n1) ),[0,1,1],$fot(f1)]]) ).
cnf(refute_0_72,plain,
( or(i1,or(X_59,not(i1))) != n1
| or(i1,or(X_59,f1)) = n1 ),
inference(resolve,[$cnf( $equal(not(i1),f1) )],[refute_0_7,refute_0_71]) ).
cnf(refute_0_73,plain,
or(i1,or(X_59,f1)) = n1,
inference(resolve,[$cnf( $equal(or(i1,or(X_59,not(i1))),n1) )],[refute_0_70,refute_0_72]) ).
cnf(refute_0_74,plain,
or(i1,or(d3,f1)) = n1,
inference(subst,[],[refute_0_73:[bind(X_59,$fot(d3))]]) ).
cnf(refute_0_75,plain,
or(f1,d3) = or(d3,f1),
inference(subst,[],[refute_0_37:[bind(X,$fot(d3)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_76,plain,
( d3 != f3
| f3 = d3 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d3)),bind(Y0,$fot(f3))]]) ).
cnf(refute_0_77,plain,
f3 = d3,
inference(resolve,[$cnf( $equal(d3,f3) )],[constructor8,refute_0_76]) ).
cnf(refute_0_78,plain,
or(f1,f3) = or(f1,f3),
introduced(tautology,[refl,[$fot(or(f1,f3))]]) ).
cnf(refute_0_79,plain,
( f3 != d3
| or(f1,f3) != or(f1,f3)
| or(f1,f3) = or(f1,d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,f3),or(f1,f3)) ),[1,1],$fot(d3)]]) ).
cnf(refute_0_80,plain,
( f3 != d3
| or(f1,f3) = or(f1,d3) ),
inference(resolve,[$cnf( $equal(or(f1,f3),or(f1,f3)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
or(f1,f3) = or(f1,d3),
inference(resolve,[$cnf( $equal(f3,d3) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_83,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_5,refute_0_82]) ).
cnf(refute_0_84,plain,
( or(f1,d3) != or(d3,f1)
| or(f1,f3) != or(f1,d3)
| or(f1,f3) = or(d3,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,f3))),bind(Y0,$fot(or(f1,d3))),bind(Z0,$fot(or(d3,f1)))]]) ).
cnf(refute_0_85,plain,
( or(f1,d3) != or(d3,f1)
| or(f1,f3) = or(d3,f1) ),
inference(resolve,[$cnf( $equal(or(f1,f3),or(f1,d3)) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
or(f1,f3) = or(d3,f1),
inference(resolve,[$cnf( $equal(or(f1,d3),or(d3,f1)) )],[refute_0_75,refute_0_85]) ).
cnf(refute_0_87,plain,
( e1 != or(f1,f3)
| or(f1,f3) != or(d3,f1)
| e1 = or(d3,f1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,or(d3,f1)) ),[0],$fot(or(f1,f3))]]) ).
cnf(refute_0_88,plain,
( e1 != or(f1,f3)
| e1 = or(d3,f1) ),
inference(resolve,[$cnf( $equal(or(f1,f3),or(d3,f1)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
e1 = or(d3,f1),
inference(resolve,[$cnf( $equal(e1,or(f1,f3)) )],[constructor11,refute_0_88]) ).
cnf(refute_0_90,plain,
not(not(e1)) = e1,
inference(subst,[],[not_simplification:[bind(X,$fot(e1))]]) ).
cnf(refute_0_91,plain,
( d1 != not(e1)
| not(e1) = d1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d1)),bind(Y0,$fot(not(e1)))]]) ).
cnf(refute_0_92,plain,
not(e1) = d1,
inference(resolve,[$cnf( $equal(d1,not(e1)) )],[constructor9,refute_0_91]) ).
cnf(refute_0_93,plain,
( not(e1) != d1
| not(not(e1)) != e1
| not(d1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(not(not(e1)),e1) ),[0,0],$fot(d1)]]) ).
cnf(refute_0_94,plain,
( not(not(e1)) != e1
| not(d1) = e1 ),
inference(resolve,[$cnf( $equal(not(e1),d1) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
not(d1) = e1,
inference(resolve,[$cnf( $equal(not(not(e1)),e1) )],[refute_0_90,refute_0_94]) ).
cnf(refute_0_96,plain,
( not(d1) != b1
| not(d1) != e1
| b1 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(not(d1),e1) ),[0],$fot(b1)]]) ).
cnf(refute_0_97,plain,
( not(d1) != e1
| b1 = e1 ),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_96]) ).
cnf(refute_0_98,plain,
b1 = e1,
inference(resolve,[$cnf( $equal(not(d1),e1) )],[refute_0_95,refute_0_97]) ).
cnf(refute_0_99,plain,
( b1 != e1
| e1 = b1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b1)),bind(Y0,$fot(e1))]]) ).
cnf(refute_0_100,plain,
e1 = b1,
inference(resolve,[$cnf( $equal(b1,e1) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( e1 != b1
| e1 != or(d3,f1)
| b1 = or(d3,f1) ),
introduced(tautology,[equality,[$cnf( $equal(e1,or(d3,f1)) ),[0],$fot(b1)]]) ).
cnf(refute_0_102,plain,
( e1 != or(d3,f1)
| b1 = or(d3,f1) ),
inference(resolve,[$cnf( $equal(e1,b1) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
b1 = or(d3,f1),
inference(resolve,[$cnf( $equal(e1,or(d3,f1)) )],[refute_0_89,refute_0_102]) ).
cnf(refute_0_104,plain,
( b1 != or(d3,f1)
| or(d3,f1) = b1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b1)),bind(Y0,$fot(or(d3,f1)))]]) ).
cnf(refute_0_105,plain,
or(d3,f1) = b1,
inference(resolve,[$cnf( $equal(b1,or(d3,f1)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( or(d3,f1) != b1
| or(i1,or(d3,f1)) != n1
| or(i1,b1) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(i1,or(d3,f1)),n1) ),[0,1],$fot(b1)]]) ).
cnf(refute_0_107,plain,
( or(i1,or(d3,f1)) != n1
| or(i1,b1) = n1 ),
inference(resolve,[$cnf( $equal(or(d3,f1),b1) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
or(i1,b1) = n1,
inference(resolve,[$cnf( $equal(or(i1,or(d3,f1)),n1) )],[refute_0_74,refute_0_107]) ).
cnf(refute_0_109,plain,
or(i1,b1) = or(b1,i1),
inference(subst,[],[refute_0_37:[bind(X,$fot(b1)),bind(Y,$fot(i1))]]) ).
cnf(refute_0_110,plain,
( or(i1,b1) != n1
| or(i1,b1) != or(b1,i1)
| or(b1,i1) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(i1,b1),n1) ),[0],$fot(or(b1,i1))]]) ).
cnf(refute_0_111,plain,
( or(i1,b1) != n1
| or(b1,i1) = n1 ),
inference(resolve,[$cnf( $equal(or(i1,b1),or(b1,i1)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
or(b1,i1) = n1,
inference(resolve,[$cnf( $equal(or(i1,b1),n1) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
( not(and(d1,f1)) != or(b1,i1)
| or(b1,i1) != n1
| not(and(d1,f1)) = n1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d1,f1)),n1) ),[0],$fot(or(b1,i1))]]) ).
cnf(refute_0_114,plain,
( not(and(d1,f1)) != or(b1,i1)
| not(and(d1,f1)) = n1 ),
inference(resolve,[$cnf( $equal(or(b1,i1),n1) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( not(and(f1,d1)) != or(b1,i1)
| not(and(d1,f1)) = n1 ),
inference(resolve,[$cnf( $equal(not(and(d1,f1)),or(b1,i1)) )],[refute_0_63,refute_0_114]) ).
cnf(refute_0_116,plain,
not(and(d1,f1)) = n1,
inference(resolve,[$cnf( $equal(not(and(f1,d1)),or(b1,i1)) )],[refute_0_45,refute_0_115]) ).
cnf(refute_0_117,plain,
( not(and(d1,f1)) != n1
| not(not(and(d1,f1))) != and(d1,f1)
| not(n1) = and(d1,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(d1,f1))),and(d1,f1)) ),[0,0],$fot(n1)]]) ).
cnf(refute_0_118,plain,
( not(not(and(d1,f1))) != and(d1,f1)
| not(n1) = and(d1,f1) ),
inference(resolve,[$cnf( $equal(not(and(d1,f1)),n1) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
not(n1) = and(d1,f1),
inference(resolve,[$cnf( $equal(not(not(and(d1,f1))),and(d1,f1)) )],[refute_0_29,refute_0_118]) ).
cnf(refute_0_120,plain,
( not(n1) != and(d1,f1)
| not(n1) != n0
| n0 = and(d1,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(n1),and(d1,f1)) ),[0],$fot(n0)]]) ).
cnf(refute_0_121,plain,
( not(n1) != and(d1,f1)
| n0 = and(d1,f1) ),
inference(resolve,[$cnf( $equal(not(n1),n0) )],[not_definition2,refute_0_120]) ).
cnf(refute_0_122,plain,
n0 = and(d1,f1),
inference(resolve,[$cnf( $equal(not(n1),and(d1,f1)) )],[refute_0_119,refute_0_121]) ).
cnf(refute_0_123,plain,
( n0 != and(d1,f1)
| and(d1,f1) = n0 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n0)),bind(Y0,$fot(and(d1,f1)))]]) ).
cnf(refute_0_124,plain,
and(d1,f1) = n0,
inference(resolve,[$cnf( $equal(n0,and(d1,f1)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( and(d1,f1) != n0
| or(and(d1,f1),and(i1,d1)) != d1
| or(n0,and(i1,d1)) = d1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,f1),and(i1,d1)),d1) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_126,plain,
( or(and(d1,f1),and(i1,d1)) != d1
| or(n0,and(i1,d1)) = d1 ),
inference(resolve,[$cnf( $equal(and(d1,f1),n0) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
or(n0,and(i1,d1)) = d1,
inference(resolve,[$cnf( $equal(or(and(d1,f1),and(i1,d1)),d1) )],[refute_0_28,refute_0_126]) ).
cnf(refute_0_128,plain,
( and(X,Y) != and(Y,X)
| and(Y,X) = and(X,Y) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(X,Y))),bind(Y0,$fot(and(Y,X)))]]) ).
cnf(refute_0_129,plain,
and(Y,X) = and(X,Y),
inference(resolve,[$cnf( $equal(and(X,Y),and(Y,X)) )],[and_commutativity,refute_0_128]) ).
cnf(refute_0_130,plain,
and(i1,d1) = and(d1,i1),
inference(subst,[],[refute_0_129:[bind(X,$fot(d1)),bind(Y,$fot(i1))]]) ).
cnf(refute_0_131,plain,
or(and(n0,X_14),and(X_14,not(n0))) = X_14,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(n0)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_132,plain,
( not(n0) != n1
| or(and(n0,X_14),and(X_14,not(n0))) != X_14
| or(and(n0,X_14),and(X_14,n1)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(n0,X_14),and(X_14,not(n0))),X_14) ),[0,1,1],$fot(n1)]]) ).
cnf(refute_0_133,plain,
( or(and(n0,X_14),and(X_14,not(n0))) != X_14
| or(and(n0,X_14),and(X_14,n1)) = X_14 ),
inference(resolve,[$cnf( $equal(not(n0),n1) )],[not_definition1,refute_0_132]) ).
cnf(refute_0_134,plain,
or(and(n0,X_14),and(X_14,n1)) = X_14,
inference(resolve,[$cnf( $equal(or(and(n0,X_14),and(X_14,not(n0))),X_14) )],[refute_0_131,refute_0_133]) ).
cnf(refute_0_135,plain,
and(X_14,n1) = X_14,
inference(subst,[],[and_definition2:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_136,plain,
or(n0,and(X_14,n1)) = or(n0,and(X_14,n1)),
introduced(tautology,[refl,[$fot(or(n0,and(X_14,n1)))]]) ).
cnf(refute_0_137,plain,
( and(X_14,n1) != X_14
| or(n0,and(X_14,n1)) != or(n0,and(X_14,n1))
| or(n0,and(X_14,n1)) = or(n0,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(X_14,n1)),or(n0,and(X_14,n1))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_138,plain,
( and(X_14,n1) != X_14
| or(n0,and(X_14,n1)) = or(n0,X_14) ),
inference(resolve,[$cnf( $equal(or(n0,and(X_14,n1)),or(n0,and(X_14,n1))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
or(n0,and(X_14,n1)) = or(n0,X_14),
inference(resolve,[$cnf( $equal(and(X_14,n1),X_14) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
and(X,n0) = and(n0,X),
inference(subst,[],[and_commutativity:[bind(Y,$fot(n0))]]) ).
cnf(refute_0_141,plain,
( and(X,n0) != and(n0,X)
| and(X,n0) != n0
| and(n0,X) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(X,n0),n0) ),[0],$fot(and(n0,X))]]) ).
cnf(refute_0_142,plain,
( and(X,n0) != n0
| and(n0,X) = n0 ),
inference(resolve,[$cnf( $equal(and(X,n0),and(n0,X)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
and(n0,X) = n0,
inference(resolve,[$cnf( $equal(and(X,n0),n0) )],[and_definition1,refute_0_142]) ).
cnf(refute_0_144,plain,
and(n0,X_14) = n0,
inference(subst,[],[refute_0_143:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_145,plain,
or(and(n0,X_14),and(X_14,n1)) = or(and(n0,X_14),and(X_14,n1)),
introduced(tautology,[refl,[$fot(or(and(n0,X_14),and(X_14,n1)))]]) ).
cnf(refute_0_146,plain,
( and(n0,X_14) != n0
| or(and(n0,X_14),and(X_14,n1)) != or(and(n0,X_14),and(X_14,n1))
| or(and(n0,X_14),and(X_14,n1)) = or(n0,and(X_14,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(n0,X_14),and(X_14,n1)),or(and(n0,X_14),and(X_14,n1))) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_147,plain,
( and(n0,X_14) != n0
| or(and(n0,X_14),and(X_14,n1)) = or(n0,and(X_14,n1)) ),
inference(resolve,[$cnf( $equal(or(and(n0,X_14),and(X_14,n1)),or(and(n0,X_14),and(X_14,n1))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
or(and(n0,X_14),and(X_14,n1)) = or(n0,and(X_14,n1)),
inference(resolve,[$cnf( $equal(and(n0,X_14),n0) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
( or(and(n0,X_14),and(X_14,n1)) != or(n0,and(X_14,n1))
| or(n0,and(X_14,n1)) != or(n0,X_14)
| or(and(n0,X_14),and(X_14,n1)) = or(n0,X_14) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(n0,X_14),and(X_14,n1)))),bind(Y0,$fot(or(n0,and(X_14,n1)))),bind(Z0,$fot(or(n0,X_14)))]]) ).
cnf(refute_0_150,plain,
( or(n0,and(X_14,n1)) != or(n0,X_14)
| or(and(n0,X_14),and(X_14,n1)) = or(n0,X_14) ),
inference(resolve,[$cnf( $equal(or(and(n0,X_14),and(X_14,n1)),or(n0,and(X_14,n1))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
or(and(n0,X_14),and(X_14,n1)) = or(n0,X_14),
inference(resolve,[$cnf( $equal(or(n0,and(X_14,n1)),or(n0,X_14)) )],[refute_0_139,refute_0_150]) ).
cnf(refute_0_152,plain,
( or(and(n0,X_14),and(X_14,n1)) != X_14
| or(and(n0,X_14),and(X_14,n1)) != or(n0,X_14)
| or(n0,X_14) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(n0,X_14),and(X_14,n1)),X_14) ),[0],$fot(or(n0,X_14))]]) ).
cnf(refute_0_153,plain,
( or(and(n0,X_14),and(X_14,n1)) != X_14
| or(n0,X_14) = X_14 ),
inference(resolve,[$cnf( $equal(or(and(n0,X_14),and(X_14,n1)),or(n0,X_14)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
or(n0,X_14) = X_14,
inference(resolve,[$cnf( $equal(or(and(n0,X_14),and(X_14,n1)),X_14) )],[refute_0_134,refute_0_153]) ).
cnf(refute_0_155,plain,
or(n0,and(i1,d1)) = and(i1,d1),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(i1,d1)))]]) ).
cnf(refute_0_156,plain,
( and(i1,d1) != and(d1,i1)
| or(n0,and(i1,d1)) != and(i1,d1)
| or(n0,and(i1,d1)) = and(d1,i1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(i1,d1)))),bind(Y0,$fot(and(i1,d1))),bind(Z0,$fot(and(d1,i1)))]]) ).
cnf(refute_0_157,plain,
( and(i1,d1) != and(d1,i1)
| or(n0,and(i1,d1)) = and(d1,i1) ),
inference(resolve,[$cnf( $equal(or(n0,and(i1,d1)),and(i1,d1)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
or(n0,and(i1,d1)) = and(d1,i1),
inference(resolve,[$cnf( $equal(and(i1,d1),and(d1,i1)) )],[refute_0_130,refute_0_157]) ).
cnf(refute_0_159,plain,
( or(n0,and(i1,d1)) != and(d1,i1)
| or(n0,and(i1,d1)) != d1
| and(d1,i1) = d1 ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(i1,d1)),d1) ),[0],$fot(and(d1,i1))]]) ).
cnf(refute_0_160,plain,
( or(n0,and(i1,d1)) != d1
| and(d1,i1) = d1 ),
inference(resolve,[$cnf( $equal(or(n0,and(i1,d1)),and(d1,i1)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
and(d1,i1) = d1,
inference(resolve,[$cnf( $equal(or(n0,and(i1,d1)),d1) )],[refute_0_127,refute_0_160]) ).
cnf(refute_0_162,plain,
( and(d1,i1) != d1
| or(and(d1,i1),and(i1,not(d1))) != i1
| or(d1,and(i1,not(d1))) = i1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,i1),and(i1,not(d1))),i1) ),[0,0],$fot(d1)]]) ).
cnf(refute_0_163,plain,
( or(and(d1,i1),and(i1,not(d1))) != i1
| or(d1,and(i1,not(d1))) = i1 ),
inference(resolve,[$cnf( $equal(and(d1,i1),d1) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
or(d1,and(i1,not(d1))) = i1,
inference(resolve,[$cnf( $equal(or(and(d1,i1),and(i1,not(d1))),i1) )],[refute_0_0,refute_0_163]) ).
cnf(refute_0_165,plain,
and(i1,b1) = and(b1,i1),
inference(subst,[],[refute_0_129:[bind(X,$fot(b1)),bind(Y,$fot(i1))]]) ).
cnf(refute_0_166,plain,
and(i1,not(d1)) = and(i1,not(d1)),
introduced(tautology,[refl,[$fot(and(i1,not(d1)))]]) ).
cnf(refute_0_167,plain,
( and(i1,not(d1)) != and(i1,not(d1))
| not(d1) != b1
| and(i1,not(d1)) = and(i1,b1) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,not(d1)),and(i1,not(d1))) ),[1,1],$fot(b1)]]) ).
cnf(refute_0_168,plain,
( not(d1) != b1
| and(i1,not(d1)) = and(i1,b1) ),
inference(resolve,[$cnf( $equal(and(i1,not(d1)),and(i1,not(d1))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
and(i1,not(d1)) = and(i1,b1),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_168]) ).
cnf(refute_0_170,plain,
( and(i1,b1) != and(b1,i1)
| and(i1,not(d1)) != and(i1,b1)
| and(i1,not(d1)) = and(b1,i1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i1,not(d1)))),bind(Y0,$fot(and(i1,b1))),bind(Z0,$fot(and(b1,i1)))]]) ).
cnf(refute_0_171,plain,
( and(i1,b1) != and(b1,i1)
| and(i1,not(d1)) = and(b1,i1) ),
inference(resolve,[$cnf( $equal(and(i1,not(d1)),and(i1,b1)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
and(i1,not(d1)) = and(b1,i1),
inference(resolve,[$cnf( $equal(and(i1,b1),and(b1,i1)) )],[refute_0_165,refute_0_171]) ).
cnf(refute_0_173,plain,
or(d1,and(i1,not(d1))) = or(d1,and(i1,not(d1))),
introduced(tautology,[refl,[$fot(or(d1,and(i1,not(d1))))]]) ).
cnf(refute_0_174,plain,
( and(i1,not(d1)) != and(b1,i1)
| or(d1,and(i1,not(d1))) != or(d1,and(i1,not(d1)))
| or(d1,and(i1,not(d1))) = or(d1,and(b1,i1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,and(i1,not(d1))),or(d1,and(i1,not(d1)))) ),[1,1],$fot(and(b1,i1))]]) ).
cnf(refute_0_175,plain,
( and(i1,not(d1)) != and(b1,i1)
| or(d1,and(i1,not(d1))) = or(d1,and(b1,i1)) ),
inference(resolve,[$cnf( $equal(or(d1,and(i1,not(d1))),or(d1,and(i1,not(d1)))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
or(d1,and(i1,not(d1))) = or(d1,and(b1,i1)),
inference(resolve,[$cnf( $equal(and(i1,not(d1)),and(b1,i1)) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( or(d1,and(i1,not(d1))) != i1
| or(d1,and(i1,not(d1))) != or(d1,and(b1,i1))
| or(d1,and(b1,i1)) = i1 ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,and(i1,not(d1))),i1) ),[0],$fot(or(d1,and(b1,i1)))]]) ).
cnf(refute_0_178,plain,
( or(d1,and(i1,not(d1))) != i1
| or(d1,and(b1,i1)) = i1 ),
inference(resolve,[$cnf( $equal(or(d1,and(i1,not(d1))),or(d1,and(b1,i1))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
or(d1,and(b1,i1)) = i1,
inference(resolve,[$cnf( $equal(or(d1,and(i1,not(d1))),i1) )],[refute_0_164,refute_0_178]) ).
cnf(refute_0_180,plain,
( c1 != or(d1,d3)
| or(d1,d3) = c1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c1)),bind(Y0,$fot(or(d1,d3)))]]) ).
cnf(refute_0_181,plain,
or(d1,d3) = c1,
inference(resolve,[$cnf( $equal(c1,or(d1,d3)) )],[constructor6,refute_0_180]) ).
cnf(refute_0_182,plain,
not(not(and(b1,i1))) = and(b1,i1),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b1,i1)))]]) ).
cnf(refute_0_183,plain,
not(and(X_109,i1)) = or(not(X_109),not(i1)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(i1))]]) ).
cnf(refute_0_184,plain,
( not(and(X_109,i1)) != or(not(X_109),not(i1))
| not(i1) != f1
| not(and(X_109,i1)) = or(not(X_109),f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,i1)),or(not(X_109),not(i1))) ),[1,1],$fot(f1)]]) ).
cnf(refute_0_185,plain,
( not(and(X_109,i1)) != or(not(X_109),not(i1))
| not(and(X_109,i1)) = or(not(X_109),f1) ),
inference(resolve,[$cnf( $equal(not(i1),f1) )],[refute_0_7,refute_0_184]) ).
cnf(refute_0_186,plain,
not(and(X_109,i1)) = or(not(X_109),f1),
inference(resolve,[$cnf( $equal(not(and(X_109,i1)),or(not(X_109),not(i1))) )],[refute_0_183,refute_0_185]) ).
cnf(refute_0_187,plain,
or(not(X_109),f1) = or(f1,not(X_109)),
inference(subst,[],[refute_0_37:[bind(X,$fot(f1)),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_188,plain,
( not(and(X_109,i1)) != or(not(X_109),f1)
| or(not(X_109),f1) != or(f1,not(X_109))
| not(and(X_109,i1)) = or(f1,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,i1)),or(f1,not(X_109))) ),[0],$fot(or(not(X_109),f1))]]) ).
cnf(refute_0_189,plain,
( not(and(X_109,i1)) != or(not(X_109),f1)
| not(and(X_109,i1)) = or(f1,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),f1),or(f1,not(X_109))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
not(and(X_109,i1)) = or(f1,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,i1)),or(not(X_109),f1)) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
not(and(b1,i1)) = or(f1,not(b1)),
inference(subst,[],[refute_0_190:[bind(X_109,$fot(b1))]]) ).
cnf(refute_0_192,plain,
not(not(d1)) = d1,
inference(subst,[],[not_simplification:[bind(X,$fot(d1))]]) ).
cnf(refute_0_193,plain,
( not(d1) != b1
| not(not(d1)) != d1
| not(b1) = d1 ),
introduced(tautology,[equality,[$cnf( $equal(not(not(d1)),d1) ),[0,0],$fot(b1)]]) ).
cnf(refute_0_194,plain,
( not(not(d1)) != d1
| not(b1) = d1 ),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_193]) ).
cnf(refute_0_195,plain,
not(b1) = d1,
inference(resolve,[$cnf( $equal(not(not(d1)),d1) )],[refute_0_192,refute_0_194]) ).
cnf(refute_0_196,plain,
( not(and(b1,i1)) != or(f1,not(b1))
| not(b1) != d1
| not(and(b1,i1)) = or(f1,d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,i1)),or(f1,not(b1))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_197,plain,
( not(and(b1,i1)) != or(f1,not(b1))
| not(and(b1,i1)) = or(f1,d1) ),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
not(and(b1,i1)) = or(f1,d1),
inference(resolve,[$cnf( $equal(not(and(b1,i1)),or(f1,not(b1))) )],[refute_0_191,refute_0_197]) ).
cnf(refute_0_199,plain,
or(and(f1,not(d3)),and(not(d3),not(f1))) = not(d3),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(f1)),bind(Y,$fot(not(d3)))]]) ).
cnf(refute_0_200,plain,
or(and(d3,f1),and(f1,not(d3))) = f1,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d3)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_201,plain,
( and(X,and(Y,Z)) != and(and(X,Y),Z)
| and(and(X,Y),Z) = and(X,and(Y,Z)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(X,and(Y,Z)))),bind(Y0,$fot(and(and(X,Y),Z)))]]) ).
cnf(refute_0_202,plain,
and(and(X,Y),Z) = and(X,and(Y,Z)),
inference(resolve,[$cnf( $equal(and(X,and(Y,Z)),and(and(X,Y),Z)) )],[and_associativity,refute_0_201]) ).
cnf(refute_0_203,plain,
and(and(X,Y),not(X)) = and(X,and(Y,not(X))),
inference(subst,[],[refute_0_202:[bind(Z,$fot(not(X)))]]) ).
cnf(refute_0_204,plain,
( and(and(X,Y),not(X)) != and(X,and(Y,not(X)))
| and(and(X,Y),not(X)) != n0
| and(X,and(Y,not(X))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,Y),not(X)),n0) ),[0],$fot(and(X,and(Y,not(X))))]]) ).
cnf(refute_0_205,plain,
( and(and(X,Y),not(X)) != n0
| and(X,and(Y,not(X))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(X,Y),not(X)),and(X,and(Y,not(X)))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
and(X,and(Y,not(X))) = n0,
inference(resolve,[$cnf( $equal(and(and(X,Y),not(X)),n0) )],[and_not_simplification3,refute_0_205]) ).
cnf(refute_0_207,plain,
and(f1,and(X_41,not(f1))) = n0,
inference(subst,[],[refute_0_206:[bind(X,$fot(f1)),bind(Y,$fot(X_41))]]) ).
cnf(refute_0_208,plain,
( and(f1,and(X_41,not(f1))) != n0
| not(f1) != i1
| and(f1,and(X_41,i1)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,and(X_41,not(f1))),n0) ),[0,1,1],$fot(i1)]]) ).
cnf(refute_0_209,plain,
( and(f1,and(X_41,not(f1))) != n0
| and(f1,and(X_41,i1)) = n0 ),
inference(resolve,[$cnf( $equal(not(f1),i1) )],[refute_0_10,refute_0_208]) ).
cnf(refute_0_210,plain,
and(f1,and(X_41,i1)) = n0,
inference(resolve,[$cnf( $equal(and(f1,and(X_41,not(f1))),n0) )],[refute_0_207,refute_0_209]) ).
cnf(refute_0_211,plain,
and(f1,and(X_54,i1)) = n0,
inference(subst,[],[refute_0_210:[bind(X_41,$fot(X_54))]]) ).
cnf(refute_0_212,plain,
and(i1,X_54) = and(X_54,i1),
inference(subst,[],[and_commutativity:[bind(X,$fot(i1)),bind(Y,$fot(X_54))]]) ).
cnf(refute_0_213,plain,
( and(i1,X_54) != and(X_54,i1)
| and(X_54,i1) = and(i1,X_54) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(i1,X_54))),bind(Y0,$fot(and(X_54,i1)))]]) ).
cnf(refute_0_214,plain,
and(X_54,i1) = and(i1,X_54),
inference(resolve,[$cnf( $equal(and(i1,X_54),and(X_54,i1)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
( and(X_54,i1) != and(i1,X_54)
| and(f1,and(X_54,i1)) != n0
| and(f1,and(i1,X_54)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,and(X_54,i1)),n0) ),[0,1],$fot(and(i1,X_54))]]) ).
cnf(refute_0_216,plain,
( and(f1,and(X_54,i1)) != n0
| and(f1,and(i1,X_54)) = n0 ),
inference(resolve,[$cnf( $equal(and(X_54,i1),and(i1,X_54)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
and(f1,and(i1,X_54)) = n0,
inference(resolve,[$cnf( $equal(and(f1,and(X_54,i1)),n0) )],[refute_0_211,refute_0_216]) ).
cnf(refute_0_218,plain,
and(f1,and(i1,i2)) = n0,
inference(subst,[],[refute_0_217:[bind(X_54,$fot(i2))]]) ).
cnf(refute_0_219,plain,
( f3 != and(i1,i2)
| f3 != d3
| d3 = and(i1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(f3,and(i1,i2)) ),[0],$fot(d3)]]) ).
cnf(refute_0_220,plain,
( f3 != and(i1,i2)
| d3 = and(i1,i2) ),
inference(resolve,[$cnf( $equal(f3,d3) )],[refute_0_77,refute_0_219]) ).
cnf(refute_0_221,plain,
d3 = and(i1,i2),
inference(resolve,[$cnf( $equal(f3,and(i1,i2)) )],[constructor15,refute_0_220]) ).
cnf(refute_0_222,plain,
( d3 != and(i1,i2)
| and(i1,i2) = d3 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d3)),bind(Y0,$fot(and(i1,i2)))]]) ).
cnf(refute_0_223,plain,
and(i1,i2) = d3,
inference(resolve,[$cnf( $equal(d3,and(i1,i2)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( and(f1,and(i1,i2)) != n0
| and(i1,i2) != d3
| and(f1,d3) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,and(i1,i2)),n0) ),[0,1],$fot(d3)]]) ).
cnf(refute_0_225,plain,
( and(f1,and(i1,i2)) != n0
| and(f1,d3) = n0 ),
inference(resolve,[$cnf( $equal(and(i1,i2),d3) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
and(f1,d3) = n0,
inference(resolve,[$cnf( $equal(and(f1,and(i1,i2)),n0) )],[refute_0_218,refute_0_225]) ).
cnf(refute_0_227,plain,
and(f1,d3) = and(d3,f1),
inference(subst,[],[refute_0_129:[bind(X,$fot(d3)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_228,plain,
( and(f1,d3) != and(d3,f1)
| and(f1,d3) != n0
| and(d3,f1) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,d3),n0) ),[0],$fot(and(d3,f1))]]) ).
cnf(refute_0_229,plain,
( and(f1,d3) != n0
| and(d3,f1) = n0 ),
inference(resolve,[$cnf( $equal(and(f1,d3),and(d3,f1)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
and(d3,f1) = n0,
inference(resolve,[$cnf( $equal(and(f1,d3),n0) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( and(d3,f1) != n0
| or(and(d3,f1),and(f1,not(d3))) != f1
| or(n0,and(f1,not(d3))) = f1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d3,f1),and(f1,not(d3))),f1) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_232,plain,
( or(and(d3,f1),and(f1,not(d3))) != f1
| or(n0,and(f1,not(d3))) = f1 ),
inference(resolve,[$cnf( $equal(and(d3,f1),n0) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
or(n0,and(f1,not(d3))) = f1,
inference(resolve,[$cnf( $equal(or(and(d3,f1),and(f1,not(d3))),f1) )],[refute_0_200,refute_0_232]) ).
cnf(refute_0_234,plain,
or(n0,and(f1,not(d3))) = and(f1,not(d3)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(f1,not(d3))))]]) ).
cnf(refute_0_235,plain,
( or(n0,and(f1,not(d3))) != and(f1,not(d3))
| or(n0,and(f1,not(d3))) != f1
| and(f1,not(d3)) = f1 ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(f1,not(d3))),f1) ),[0],$fot(and(f1,not(d3)))]]) ).
cnf(refute_0_236,plain,
( or(n0,and(f1,not(d3))) != f1
| and(f1,not(d3)) = f1 ),
inference(resolve,[$cnf( $equal(or(n0,and(f1,not(d3))),and(f1,not(d3))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
and(f1,not(d3)) = f1,
inference(resolve,[$cnf( $equal(or(n0,and(f1,not(d3))),f1) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
( and(f1,not(d3)) != f1
| or(and(f1,not(d3)),and(not(d3),not(f1))) != not(d3)
| or(f1,and(not(d3),not(f1))) = not(d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f1,not(d3)),and(not(d3),not(f1))),not(d3)) ),[0,0],$fot(f1)]]) ).
cnf(refute_0_239,plain,
( or(and(f1,not(d3)),and(not(d3),not(f1))) != not(d3)
| or(f1,and(not(d3),not(f1))) = not(d3) ),
inference(resolve,[$cnf( $equal(and(f1,not(d3)),f1) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
or(f1,and(not(d3),not(f1))) = not(d3),
inference(resolve,[$cnf( $equal(or(and(f1,not(d3)),and(not(d3),not(f1))),not(d3)) )],[refute_0_199,refute_0_239]) ).
cnf(refute_0_241,plain,
or(f1,d1) = or(d1,f1),
inference(subst,[],[refute_0_37:[bind(X,$fot(d1)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_242,plain,
not(or(d3,f1)) = not(or(d3,f1)),
introduced(tautology,[refl,[$fot(not(or(d3,f1)))]]) ).
cnf(refute_0_243,plain,
( not(or(d3,f1)) != not(or(d3,f1))
| or(d3,f1) != b1
| not(or(d3,f1)) = not(b1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d3,f1)),not(or(d3,f1))) ),[1,0],$fot(b1)]]) ).
cnf(refute_0_244,plain,
( or(d3,f1) != b1
| not(or(d3,f1)) = not(b1) ),
inference(resolve,[$cnf( $equal(not(or(d3,f1)),not(or(d3,f1))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
not(or(d3,f1)) = not(b1),
inference(resolve,[$cnf( $equal(or(d3,f1),b1) )],[refute_0_105,refute_0_244]) ).
cnf(refute_0_246,plain,
( not(b1) != d1
| not(or(d3,f1)) != not(b1)
| not(or(d3,f1)) = d1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(or(d3,f1)))),bind(Y0,$fot(not(b1))),bind(Z0,$fot(d1))]]) ).
cnf(refute_0_247,plain,
( not(b1) != d1
| not(or(d3,f1)) = d1 ),
inference(resolve,[$cnf( $equal(not(or(d3,f1)),not(b1)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
not(or(d3,f1)) = d1,
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_247]) ).
cnf(refute_0_249,plain,
( not(or(X,Y)) != and(not(X),not(Y))
| and(not(X),not(Y)) = not(or(X,Y)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(or(X,Y)))),bind(Y0,$fot(and(not(X),not(Y))))]]) ).
cnf(refute_0_250,plain,
and(not(X),not(Y)) = not(or(X,Y)),
inference(resolve,[$cnf( $equal(not(or(X,Y)),and(not(X),not(Y))) )],[not_canonicalization2,refute_0_249]) ).
cnf(refute_0_251,plain,
and(not(d3),not(f1)) = not(or(d3,f1)),
inference(subst,[],[refute_0_250:[bind(X,$fot(d3)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_252,plain,
( and(not(d3),not(f1)) != not(or(d3,f1))
| not(or(d3,f1)) != d1
| and(not(d3),not(f1)) = d1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(not(d3),not(f1)))),bind(Y0,$fot(not(or(d3,f1)))),bind(Z0,$fot(d1))]]) ).
cnf(refute_0_253,plain,
( not(or(d3,f1)) != d1
| and(not(d3),not(f1)) = d1 ),
inference(resolve,[$cnf( $equal(and(not(d3),not(f1)),not(or(d3,f1))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
and(not(d3),not(f1)) = d1,
inference(resolve,[$cnf( $equal(not(or(d3,f1)),d1) )],[refute_0_248,refute_0_253]) ).
cnf(refute_0_255,plain,
or(f1,and(not(d3),not(f1))) = or(f1,and(not(d3),not(f1))),
introduced(tautology,[refl,[$fot(or(f1,and(not(d3),not(f1))))]]) ).
cnf(refute_0_256,plain,
( and(not(d3),not(f1)) != d1
| or(f1,and(not(d3),not(f1))) != or(f1,and(not(d3),not(f1)))
| or(f1,and(not(d3),not(f1))) = or(f1,d1) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,and(not(d3),not(f1))),or(f1,and(not(d3),not(f1)))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_257,plain,
( and(not(d3),not(f1)) != d1
| or(f1,and(not(d3),not(f1))) = or(f1,d1) ),
inference(resolve,[$cnf( $equal(or(f1,and(not(d3),not(f1))),or(f1,and(not(d3),not(f1)))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
or(f1,and(not(d3),not(f1))) = or(f1,d1),
inference(resolve,[$cnf( $equal(and(not(d3),not(f1)),d1) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
( or(f1,and(not(d3),not(f1))) != or(f1,d1)
| or(f1,d1) != or(d1,f1)
| or(f1,and(not(d3),not(f1))) = or(d1,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,and(not(d3),not(f1))))),bind(Y0,$fot(or(f1,d1))),bind(Z0,$fot(or(d1,f1)))]]) ).
cnf(refute_0_260,plain,
( or(f1,d1) != or(d1,f1)
| or(f1,and(not(d3),not(f1))) = or(d1,f1) ),
inference(resolve,[$cnf( $equal(or(f1,and(not(d3),not(f1))),or(f1,d1)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
or(f1,and(not(d3),not(f1))) = or(d1,f1),
inference(resolve,[$cnf( $equal(or(f1,d1),or(d1,f1)) )],[refute_0_241,refute_0_260]) ).
cnf(refute_0_262,plain,
( or(f1,and(not(d3),not(f1))) != not(d3)
| or(f1,and(not(d3),not(f1))) != or(d1,f1)
| or(d1,f1) = not(d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,and(not(d3),not(f1))),not(d3)) ),[0],$fot(or(d1,f1))]]) ).
cnf(refute_0_263,plain,
( or(f1,and(not(d3),not(f1))) != not(d3)
| or(d1,f1) = not(d3) ),
inference(resolve,[$cnf( $equal(or(f1,and(not(d3),not(f1))),or(d1,f1)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
or(d1,f1) = not(d3),
inference(resolve,[$cnf( $equal(or(f1,and(not(d3),not(f1))),not(d3)) )],[refute_0_240,refute_0_263]) ).
cnf(refute_0_265,plain,
( or(d1,f1) != not(d3)
| or(f1,d1) != or(d1,f1)
| or(f1,d1) = not(d3) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,d1))),bind(Y0,$fot(or(d1,f1))),bind(Z0,$fot(not(d3)))]]) ).
cnf(refute_0_266,plain,
( or(d1,f1) != not(d3)
| or(f1,d1) = not(d3) ),
inference(resolve,[$cnf( $equal(or(f1,d1),or(d1,f1)) )],[refute_0_241,refute_0_265]) ).
cnf(refute_0_267,plain,
or(f1,d1) = not(d3),
inference(resolve,[$cnf( $equal(or(d1,f1),not(d3)) )],[refute_0_264,refute_0_266]) ).
cnf(refute_0_268,plain,
( not(and(b1,i1)) != or(f1,d1)
| or(f1,d1) != not(d3)
| not(and(b1,i1)) = not(d3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,i1)),not(d3)) ),[0],$fot(or(f1,d1))]]) ).
cnf(refute_0_269,plain,
( not(and(b1,i1)) != or(f1,d1)
| not(and(b1,i1)) = not(d3) ),
inference(resolve,[$cnf( $equal(or(f1,d1),not(d3)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
not(and(b1,i1)) = not(d3),
inference(resolve,[$cnf( $equal(not(and(b1,i1)),or(f1,d1)) )],[refute_0_198,refute_0_269]) ).
cnf(refute_0_271,plain,
( not(and(b1,i1)) != not(d3)
| not(not(and(b1,i1))) != and(b1,i1)
| not(not(d3)) = and(b1,i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b1,i1))),and(b1,i1)) ),[0,0],$fot(not(d3))]]) ).
cnf(refute_0_272,plain,
( not(not(and(b1,i1))) != and(b1,i1)
| not(not(d3)) = and(b1,i1) ),
inference(resolve,[$cnf( $equal(not(and(b1,i1)),not(d3)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
not(not(d3)) = and(b1,i1),
inference(resolve,[$cnf( $equal(not(not(and(b1,i1))),and(b1,i1)) )],[refute_0_182,refute_0_272]) ).
cnf(refute_0_274,plain,
not(not(d3)) = d3,
inference(subst,[],[not_simplification:[bind(X,$fot(d3))]]) ).
cnf(refute_0_275,plain,
( not(not(d3)) != and(b1,i1)
| not(not(d3)) != d3
| d3 = and(b1,i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(d3)),and(b1,i1)) ),[0],$fot(d3)]]) ).
cnf(refute_0_276,plain,
( not(not(d3)) != and(b1,i1)
| d3 = and(b1,i1) ),
inference(resolve,[$cnf( $equal(not(not(d3)),d3) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
d3 = and(b1,i1),
inference(resolve,[$cnf( $equal(not(not(d3)),and(b1,i1)) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
( d3 != and(b1,i1)
| and(b1,i1) = d3 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d3)),bind(Y0,$fot(and(b1,i1)))]]) ).
cnf(refute_0_279,plain,
and(b1,i1) = d3,
inference(resolve,[$cnf( $equal(d3,and(b1,i1)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
or(d1,and(b1,i1)) = or(d1,and(b1,i1)),
introduced(tautology,[refl,[$fot(or(d1,and(b1,i1)))]]) ).
cnf(refute_0_281,plain,
( and(b1,i1) != d3
| or(d1,and(b1,i1)) != or(d1,and(b1,i1))
| or(d1,and(b1,i1)) = or(d1,d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,and(b1,i1)),or(d1,and(b1,i1))) ),[1,1],$fot(d3)]]) ).
cnf(refute_0_282,plain,
( and(b1,i1) != d3
| or(d1,and(b1,i1)) = or(d1,d3) ),
inference(resolve,[$cnf( $equal(or(d1,and(b1,i1)),or(d1,and(b1,i1))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
or(d1,and(b1,i1)) = or(d1,d3),
inference(resolve,[$cnf( $equal(and(b1,i1),d3) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
( or(d1,and(b1,i1)) != or(d1,d3)
| or(d1,d3) != c1
| or(d1,and(b1,i1)) = c1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d1,and(b1,i1)))),bind(Y0,$fot(or(d1,d3))),bind(Z0,$fot(c1))]]) ).
cnf(refute_0_285,plain,
( or(d1,d3) != c1
| or(d1,and(b1,i1)) = c1 ),
inference(resolve,[$cnf( $equal(or(d1,and(b1,i1)),or(d1,d3)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
or(d1,and(b1,i1)) = c1,
inference(resolve,[$cnf( $equal(or(d1,d3),c1) )],[refute_0_181,refute_0_285]) ).
cnf(refute_0_287,plain,
( or(d1,and(b1,i1)) != c1
| or(d1,and(b1,i1)) != i1
| c1 = i1 ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,and(b1,i1)),i1) ),[0],$fot(c1)]]) ).
cnf(refute_0_288,plain,
( or(d1,and(b1,i1)) != i1
| c1 = i1 ),
inference(resolve,[$cnf( $equal(or(d1,and(b1,i1)),c1) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
c1 = i1,
inference(resolve,[$cnf( $equal(or(d1,and(b1,i1)),i1) )],[refute_0_179,refute_0_288]) ).
cnf(refute_0_290,plain,
( c1 != i1
| i1 = c1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c1)),bind(Y0,$fot(i1))]]) ).
cnf(refute_0_291,plain,
i1 = c1,
inference(resolve,[$cnf( $equal(c1,i1) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
input(i1,i2) = input(i1,i2),
introduced(tautology,[refl,[$fot(input(i1,i2))]]) ).
cnf(refute_0_293,plain,
( i1 != c1
| input(i1,i2) != input(i1,i2)
| input(i1,i2) = input(c1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(input(i1,i2),input(i1,i2)) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_294,plain,
( i1 != c1
| input(i1,i2) = input(c1,i2) ),
inference(resolve,[$cnf( $equal(input(i1,i2),input(i1,i2)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
input(i1,i2) = input(c1,i2),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( input(i1,i2) != input(c1,i2)
| ~ circuit(input(c1,i2),output(i2,i1))
| circuit(input(i1,i2),output(i2,i1)) ),
introduced(tautology,[equality,[$cnf( ~ circuit(input(i1,i2),output(i2,i1)) ),[0],$fot(input(c1,i2))]]) ).
cnf(refute_0_297,plain,
( ~ circuit(input(c1,i2),output(i2,i1))
| circuit(input(i1,i2),output(i2,i1)) ),
inference(resolve,[$cnf( $equal(input(i1,i2),input(c1,i2)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
output(i2,i1) = output(i2,i1),
introduced(tautology,[refl,[$fot(output(i2,i1))]]) ).
cnf(refute_0_299,plain,
( i1 != c1
| output(i2,i1) != output(i2,i1)
| output(i2,i1) = output(i2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(output(i2,i1),output(i2,i1)) ),[1,1],$fot(c1)]]) ).
cnf(refute_0_300,plain,
( i1 != c1
| output(i2,i1) = output(i2,c1) ),
inference(resolve,[$cnf( $equal(output(i2,i1),output(i2,i1)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
output(i2,i1) = output(i2,c1),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_300]) ).
cnf(refute_0_302,plain,
( output(i2,i1) != output(i2,c1)
| ~ circuit(input(c1,i2),output(i2,c1))
| circuit(input(c1,i2),output(i2,i1)) ),
introduced(tautology,[equality,[$cnf( ~ circuit(input(c1,i2),output(i2,i1)) ),[1],$fot(output(i2,c1))]]) ).
cnf(refute_0_303,plain,
( ~ circuit(input(c1,i2),output(i2,c1))
| circuit(input(c1,i2),output(i2,i1)) ),
inference(resolve,[$cnf( $equal(output(i2,i1),output(i2,c1)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
( ~ circuit(input(c1,i2),output(i2,c1))
| circuit(input(i1,i2),output(i2,i1)) ),
inference(resolve,[$cnf( circuit(input(c1,i2),output(i2,i1)) )],[refute_0_303,refute_0_297]) ).
cnf(refute_0_305,plain,
~ circuit(input(c1,i2),output(i2,c1)),
inference(resolve,[$cnf( circuit(input(i1,i2),output(i2,i1)) )],[refute_0_304,prove_interchange]) ).
cnf(refute_0_306,plain,
or(and(d2,i2),and(i2,not(d2))) = i2,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d2)),bind(Y,$fot(i2))]]) ).
cnf(refute_0_307,plain,
not(not(and(d2,i2))) = and(d2,i2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(d2,i2)))]]) ).
cnf(refute_0_308,plain,
not(and(X_109,d2)) = or(not(X_109),not(d2)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(d2))]]) ).
cnf(refute_0_309,plain,
( b2 != not(d2)
| not(d2) = b2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b2)),bind(Y0,$fot(not(d2)))]]) ).
cnf(refute_0_310,plain,
not(d2) = b2,
inference(resolve,[$cnf( $equal(b2,not(d2)) )],[constructor4,refute_0_309]) ).
cnf(refute_0_311,plain,
( not(and(X_109,d2)) != or(not(X_109),not(d2))
| not(d2) != b2
| not(and(X_109,d2)) = or(not(X_109),b2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,d2)),or(not(X_109),not(d2))) ),[1,1],$fot(b2)]]) ).
cnf(refute_0_312,plain,
( not(and(X_109,d2)) != or(not(X_109),not(d2))
| not(and(X_109,d2)) = or(not(X_109),b2) ),
inference(resolve,[$cnf( $equal(not(d2),b2) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
not(and(X_109,d2)) = or(not(X_109),b2),
inference(resolve,[$cnf( $equal(not(and(X_109,d2)),or(not(X_109),not(d2))) )],[refute_0_308,refute_0_312]) ).
cnf(refute_0_314,plain,
or(not(X_109),b2) = or(b2,not(X_109)),
inference(subst,[],[refute_0_37:[bind(X,$fot(b2)),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_315,plain,
( not(and(X_109,d2)) != or(not(X_109),b2)
| or(not(X_109),b2) != or(b2,not(X_109))
| not(and(X_109,d2)) = or(b2,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,d2)),or(b2,not(X_109))) ),[0],$fot(or(not(X_109),b2))]]) ).
cnf(refute_0_316,plain,
( not(and(X_109,d2)) != or(not(X_109),b2)
| not(and(X_109,d2)) = or(b2,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),b2),or(b2,not(X_109))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
not(and(X_109,d2)) = or(b2,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,d2)),or(not(X_109),b2)) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
not(and(i2,d2)) = or(b2,not(i2)),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(i2))]]) ).
cnf(refute_0_319,plain,
( f2 != not(i2)
| not(i2) = f2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(f2)),bind(Y0,$fot(not(i2)))]]) ).
cnf(refute_0_320,plain,
not(i2) = f2,
inference(resolve,[$cnf( $equal(f2,not(i2)) )],[constructor14,refute_0_319]) ).
cnf(refute_0_321,plain,
( not(and(i2,d2)) != or(b2,not(i2))
| not(i2) != f2
| not(and(i2,d2)) = or(b2,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i2,d2)),or(b2,not(i2))) ),[1,1],$fot(f2)]]) ).
cnf(refute_0_322,plain,
( not(and(i2,d2)) != or(b2,not(i2))
| not(and(i2,d2)) = or(b2,f2) ),
inference(resolve,[$cnf( $equal(not(i2),f2) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
not(and(i2,d2)) = or(b2,f2),
inference(resolve,[$cnf( $equal(not(and(i2,d2)),or(b2,not(i2))) )],[refute_0_318,refute_0_322]) ).
cnf(refute_0_324,plain,
not(and(X_112,d2)) = or(b2,not(X_112)),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(X_112))]]) ).
cnf(refute_0_325,plain,
and(d2,X_112) = and(X_112,d2),
inference(subst,[],[and_commutativity:[bind(X,$fot(d2)),bind(Y,$fot(X_112))]]) ).
cnf(refute_0_326,plain,
( and(d2,X_112) != and(X_112,d2)
| and(X_112,d2) = and(d2,X_112) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(d2,X_112))),bind(Y0,$fot(and(X_112,d2)))]]) ).
cnf(refute_0_327,plain,
and(X_112,d2) = and(d2,X_112),
inference(resolve,[$cnf( $equal(and(d2,X_112),and(X_112,d2)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
( and(X_112,d2) != and(d2,X_112)
| not(and(X_112,d2)) != or(b2,not(X_112))
| not(and(d2,X_112)) = or(b2,not(X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_112,d2)),or(b2,not(X_112))) ),[0,0],$fot(and(d2,X_112))]]) ).
cnf(refute_0_329,plain,
( not(and(X_112,d2)) != or(b2,not(X_112))
| not(and(d2,X_112)) = or(b2,not(X_112)) ),
inference(resolve,[$cnf( $equal(and(X_112,d2),and(d2,X_112)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
not(and(d2,X_112)) = or(b2,not(X_112)),
inference(resolve,[$cnf( $equal(not(and(X_112,d2)),or(b2,not(X_112))) )],[refute_0_324,refute_0_329]) ).
cnf(refute_0_331,plain,
( not(and(X_109,d2)) != or(b2,not(X_109))
| or(b2,not(X_109)) = not(and(X_109,d2)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,d2)))),bind(Y0,$fot(or(b2,not(X_109))))]]) ).
cnf(refute_0_332,plain,
or(b2,not(X_109)) = not(and(X_109,d2)),
inference(resolve,[$cnf( $equal(not(and(X_109,d2)),or(b2,not(X_109))) )],[refute_0_317,refute_0_331]) ).
cnf(refute_0_333,plain,
or(b2,not(X_112)) = not(and(X_112,d2)),
inference(subst,[],[refute_0_332:[bind(X_109,$fot(X_112))]]) ).
cnf(refute_0_334,plain,
( not(and(d2,X_112)) != or(b2,not(X_112))
| or(b2,not(X_112)) != not(and(X_112,d2))
| not(and(d2,X_112)) = not(and(X_112,d2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d2,X_112)),not(and(X_112,d2))) ),[0],$fot(or(b2,not(X_112)))]]) ).
cnf(refute_0_335,plain,
( not(and(d2,X_112)) != or(b2,not(X_112))
| not(and(d2,X_112)) = not(and(X_112,d2)) ),
inference(resolve,[$cnf( $equal(or(b2,not(X_112)),not(and(X_112,d2))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
not(and(d2,X_112)) = not(and(X_112,d2)),
inference(resolve,[$cnf( $equal(not(and(d2,X_112)),or(b2,not(X_112))) )],[refute_0_330,refute_0_335]) ).
cnf(refute_0_337,plain,
( not(and(d2,X_112)) != not(and(X_112,d2))
| not(and(X_112,d2)) = not(and(d2,X_112)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(d2,X_112)))),bind(Y0,$fot(not(and(X_112,d2))))]]) ).
cnf(refute_0_338,plain,
not(and(X_112,d2)) = not(and(d2,X_112)),
inference(resolve,[$cnf( $equal(not(and(d2,X_112)),not(and(X_112,d2))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
not(and(i2,d2)) = not(and(d2,i2)),
inference(subst,[],[refute_0_338:[bind(X_112,$fot(i2))]]) ).
cnf(refute_0_340,plain,
( not(and(i2,d2)) != not(and(d2,i2))
| not(and(i2,d2)) != or(b2,f2)
| not(and(d2,i2)) = or(b2,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i2,d2)),or(b2,f2)) ),[0],$fot(not(and(d2,i2)))]]) ).
cnf(refute_0_341,plain,
( not(and(i2,d2)) != or(b2,f2)
| not(and(d2,i2)) = or(b2,f2) ),
inference(resolve,[$cnf( $equal(not(and(i2,d2)),not(and(d2,i2))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
or(or(X,Y),X) = or(X,or(Y,X)),
inference(subst,[],[refute_0_65:[bind(Z,$fot(X))]]) ).
cnf(refute_0_343,plain,
( or(or(X,Y),X) != or(X,Y)
| or(or(X,Y),X) != or(X,or(Y,X))
| or(X,or(Y,X)) = or(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,Y),X),or(X,Y)) ),[0],$fot(or(X,or(Y,X)))]]) ).
cnf(refute_0_344,plain,
( or(or(X,Y),X) != or(X,Y)
| or(X,or(Y,X)) = or(X,Y) ),
inference(resolve,[$cnf( $equal(or(or(X,Y),X),or(X,or(Y,X))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
or(X,or(Y,X)) = or(X,Y),
inference(resolve,[$cnf( $equal(or(or(X,Y),X),or(X,Y)) )],[or_simplification3,refute_0_344]) ).
cnf(refute_0_346,plain,
or(f2,or(d3,f2)) = or(f2,d3),
inference(subst,[],[refute_0_345:[bind(X,$fot(f2)),bind(Y,$fot(d3))]]) ).
cnf(refute_0_347,plain,
or(f2,d3) = or(d3,f2),
inference(subst,[],[refute_0_37:[bind(X,$fot(d3)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_348,plain,
or(f2,f3) = or(f2,f3),
introduced(tautology,[refl,[$fot(or(f2,f3))]]) ).
cnf(refute_0_349,plain,
( f3 != d3
| or(f2,f3) != or(f2,f3)
| or(f2,f3) = or(f2,d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(f2,f3),or(f2,f3)) ),[1,1],$fot(d3)]]) ).
cnf(refute_0_350,plain,
( f3 != d3
| or(f2,f3) = or(f2,d3) ),
inference(resolve,[$cnf( $equal(or(f2,f3),or(f2,f3)) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
or(f2,f3) = or(f2,d3),
inference(resolve,[$cnf( $equal(f3,d3) )],[refute_0_77,refute_0_350]) ).
cnf(refute_0_352,plain,
( or(f2,d3) != or(d3,f2)
| or(f2,f3) != or(f2,d3)
| or(f2,f3) = or(d3,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f2,f3))),bind(Y0,$fot(or(f2,d3))),bind(Z0,$fot(or(d3,f2)))]]) ).
cnf(refute_0_353,plain,
( or(f2,d3) != or(d3,f2)
| or(f2,f3) = or(d3,f2) ),
inference(resolve,[$cnf( $equal(or(f2,f3),or(f2,d3)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
or(f2,f3) = or(d3,f2),
inference(resolve,[$cnf( $equal(or(f2,d3),or(d3,f2)) )],[refute_0_347,refute_0_353]) ).
cnf(refute_0_355,plain,
( e2 != or(f2,f3)
| or(f2,f3) != or(d3,f2)
| e2 = or(d3,f2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,or(d3,f2)) ),[0],$fot(or(f2,f3))]]) ).
cnf(refute_0_356,plain,
( e2 != or(f2,f3)
| e2 = or(d3,f2) ),
inference(resolve,[$cnf( $equal(or(f2,f3),or(d3,f2)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
e2 = or(d3,f2),
inference(resolve,[$cnf( $equal(e2,or(f2,f3)) )],[constructor12,refute_0_356]) ).
cnf(refute_0_358,plain,
not(not(e2)) = e2,
inference(subst,[],[not_simplification:[bind(X,$fot(e2))]]) ).
cnf(refute_0_359,plain,
( d2 != not(e2)
| not(e2) = d2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d2)),bind(Y0,$fot(not(e2)))]]) ).
cnf(refute_0_360,plain,
not(e2) = d2,
inference(resolve,[$cnf( $equal(d2,not(e2)) )],[constructor10,refute_0_359]) ).
cnf(refute_0_361,plain,
( not(e2) != d2
| not(not(e2)) != e2
| not(d2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(not(not(e2)),e2) ),[0,0],$fot(d2)]]) ).
cnf(refute_0_362,plain,
( not(not(e2)) != e2
| not(d2) = e2 ),
inference(resolve,[$cnf( $equal(not(e2),d2) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
not(d2) = e2,
inference(resolve,[$cnf( $equal(not(not(e2)),e2) )],[refute_0_358,refute_0_362]) ).
cnf(refute_0_364,plain,
( not(d2) != b2
| not(d2) != e2
| b2 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(not(d2),e2) ),[0],$fot(b2)]]) ).
cnf(refute_0_365,plain,
( not(d2) != e2
| b2 = e2 ),
inference(resolve,[$cnf( $equal(not(d2),b2) )],[refute_0_310,refute_0_364]) ).
cnf(refute_0_366,plain,
b2 = e2,
inference(resolve,[$cnf( $equal(not(d2),e2) )],[refute_0_363,refute_0_365]) ).
cnf(refute_0_367,plain,
( b2 != e2
| e2 = b2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b2)),bind(Y0,$fot(e2))]]) ).
cnf(refute_0_368,plain,
e2 = b2,
inference(resolve,[$cnf( $equal(b2,e2) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
( e2 != b2
| e2 != or(d3,f2)
| b2 = or(d3,f2) ),
introduced(tautology,[equality,[$cnf( $equal(e2,or(d3,f2)) ),[0],$fot(b2)]]) ).
cnf(refute_0_370,plain,
( e2 != or(d3,f2)
| b2 = or(d3,f2) ),
inference(resolve,[$cnf( $equal(e2,b2) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
b2 = or(d3,f2),
inference(resolve,[$cnf( $equal(e2,or(d3,f2)) )],[refute_0_357,refute_0_370]) ).
cnf(refute_0_372,plain,
( b2 != or(d3,f2)
| or(d3,f2) = b2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b2)),bind(Y0,$fot(or(d3,f2)))]]) ).
cnf(refute_0_373,plain,
or(d3,f2) = b2,
inference(resolve,[$cnf( $equal(b2,or(d3,f2)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
( or(d3,f2) != b2
| or(f2,or(d3,f2)) != or(f2,d3)
| or(f2,b2) = or(f2,d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(f2,or(d3,f2)),or(f2,d3)) ),[0,1],$fot(b2)]]) ).
cnf(refute_0_375,plain,
( or(f2,or(d3,f2)) != or(f2,d3)
| or(f2,b2) = or(f2,d3) ),
inference(resolve,[$cnf( $equal(or(d3,f2),b2) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
or(f2,b2) = or(f2,d3),
inference(resolve,[$cnf( $equal(or(f2,or(d3,f2)),or(f2,d3)) )],[refute_0_346,refute_0_375]) ).
cnf(refute_0_377,plain,
or(f2,b2) = or(b2,f2),
inference(subst,[],[refute_0_37:[bind(X,$fot(b2)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_378,plain,
( or(f2,b2) != or(b2,f2)
| or(f2,b2) != or(f2,d3)
| or(b2,f2) = or(f2,d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(f2,b2),or(f2,d3)) ),[0],$fot(or(b2,f2))]]) ).
cnf(refute_0_379,plain,
( or(f2,b2) != or(f2,d3)
| or(b2,f2) = or(f2,d3) ),
inference(resolve,[$cnf( $equal(or(f2,b2),or(b2,f2)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( or(d3,f2) != b2
| or(f2,d3) != or(d3,f2)
| or(f2,d3) = b2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f2,d3))),bind(Y0,$fot(or(d3,f2))),bind(Z0,$fot(b2))]]) ).
cnf(refute_0_381,plain,
( or(d3,f2) != b2
| or(f2,d3) = b2 ),
inference(resolve,[$cnf( $equal(or(f2,d3),or(d3,f2)) )],[refute_0_347,refute_0_380]) ).
cnf(refute_0_382,plain,
or(f2,d3) = b2,
inference(resolve,[$cnf( $equal(or(d3,f2),b2) )],[refute_0_373,refute_0_381]) ).
cnf(refute_0_383,plain,
( or(b2,f2) != or(f2,d3)
| or(f2,d3) != b2
| or(b2,f2) = b2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(b2,f2),b2) ),[0],$fot(or(f2,d3))]]) ).
cnf(refute_0_384,plain,
( or(b2,f2) != or(f2,d3)
| or(b2,f2) = b2 ),
inference(resolve,[$cnf( $equal(or(f2,d3),b2) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
( or(f2,b2) != or(f2,d3)
| or(b2,f2) = b2 ),
inference(resolve,[$cnf( $equal(or(b2,f2),or(f2,d3)) )],[refute_0_379,refute_0_384]) ).
cnf(refute_0_386,plain,
or(b2,f2) = b2,
inference(resolve,[$cnf( $equal(or(f2,b2),or(f2,d3)) )],[refute_0_376,refute_0_385]) ).
cnf(refute_0_387,plain,
( not(and(d2,i2)) != or(b2,f2)
| or(b2,f2) != b2
| not(and(d2,i2)) = b2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d2,i2)),b2) ),[0],$fot(or(b2,f2))]]) ).
cnf(refute_0_388,plain,
( not(and(d2,i2)) != or(b2,f2)
| not(and(d2,i2)) = b2 ),
inference(resolve,[$cnf( $equal(or(b2,f2),b2) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
( not(and(i2,d2)) != or(b2,f2)
| not(and(d2,i2)) = b2 ),
inference(resolve,[$cnf( $equal(not(and(d2,i2)),or(b2,f2)) )],[refute_0_341,refute_0_388]) ).
cnf(refute_0_390,plain,
not(and(d2,i2)) = b2,
inference(resolve,[$cnf( $equal(not(and(i2,d2)),or(b2,f2)) )],[refute_0_323,refute_0_389]) ).
cnf(refute_0_391,plain,
( not(and(d2,i2)) != b2
| not(not(and(d2,i2))) != and(d2,i2)
| not(b2) = and(d2,i2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(d2,i2))),and(d2,i2)) ),[0,0],$fot(b2)]]) ).
cnf(refute_0_392,plain,
( not(not(and(d2,i2))) != and(d2,i2)
| not(b2) = and(d2,i2) ),
inference(resolve,[$cnf( $equal(not(and(d2,i2)),b2) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
not(b2) = and(d2,i2),
inference(resolve,[$cnf( $equal(not(not(and(d2,i2))),and(d2,i2)) )],[refute_0_307,refute_0_392]) ).
cnf(refute_0_394,plain,
not(not(d2)) = d2,
inference(subst,[],[not_simplification:[bind(X,$fot(d2))]]) ).
cnf(refute_0_395,plain,
( not(d2) != b2
| not(not(d2)) != d2
| not(b2) = d2 ),
introduced(tautology,[equality,[$cnf( $equal(not(not(d2)),d2) ),[0,0],$fot(b2)]]) ).
cnf(refute_0_396,plain,
( not(not(d2)) != d2
| not(b2) = d2 ),
inference(resolve,[$cnf( $equal(not(d2),b2) )],[refute_0_310,refute_0_395]) ).
cnf(refute_0_397,plain,
not(b2) = d2,
inference(resolve,[$cnf( $equal(not(not(d2)),d2) )],[refute_0_394,refute_0_396]) ).
cnf(refute_0_398,plain,
( not(b2) != and(d2,i2)
| not(b2) != d2
| d2 = and(d2,i2) ),
introduced(tautology,[equality,[$cnf( $equal(not(b2),and(d2,i2)) ),[0],$fot(d2)]]) ).
cnf(refute_0_399,plain,
( not(b2) != and(d2,i2)
| d2 = and(d2,i2) ),
inference(resolve,[$cnf( $equal(not(b2),d2) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
d2 = and(d2,i2),
inference(resolve,[$cnf( $equal(not(b2),and(d2,i2)) )],[refute_0_393,refute_0_399]) ).
cnf(refute_0_401,plain,
( d2 != and(d2,i2)
| and(d2,i2) = d2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d2)),bind(Y0,$fot(and(d2,i2)))]]) ).
cnf(refute_0_402,plain,
and(d2,i2) = d2,
inference(resolve,[$cnf( $equal(d2,and(d2,i2)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
( and(d2,i2) != d2
| or(and(d2,i2),and(i2,not(d2))) != i2
| or(d2,and(i2,not(d2))) = i2 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d2,i2),and(i2,not(d2))),i2) ),[0,0],$fot(d2)]]) ).
cnf(refute_0_404,plain,
( or(and(d2,i2),and(i2,not(d2))) != i2
| or(d2,and(i2,not(d2))) = i2 ),
inference(resolve,[$cnf( $equal(and(d2,i2),d2) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
or(d2,and(i2,not(d2))) = i2,
inference(resolve,[$cnf( $equal(or(and(d2,i2),and(i2,not(d2))),i2) )],[refute_0_306,refute_0_404]) ).
cnf(refute_0_406,plain,
and(i2,b2) = and(b2,i2),
inference(subst,[],[refute_0_129:[bind(X,$fot(b2)),bind(Y,$fot(i2))]]) ).
cnf(refute_0_407,plain,
and(i2,not(d2)) = and(i2,not(d2)),
introduced(tautology,[refl,[$fot(and(i2,not(d2)))]]) ).
cnf(refute_0_408,plain,
( and(i2,not(d2)) != and(i2,not(d2))
| not(d2) != b2
| and(i2,not(d2)) = and(i2,b2) ),
introduced(tautology,[equality,[$cnf( $equal(and(i2,not(d2)),and(i2,not(d2))) ),[1,1],$fot(b2)]]) ).
cnf(refute_0_409,plain,
( not(d2) != b2
| and(i2,not(d2)) = and(i2,b2) ),
inference(resolve,[$cnf( $equal(and(i2,not(d2)),and(i2,not(d2))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
and(i2,not(d2)) = and(i2,b2),
inference(resolve,[$cnf( $equal(not(d2),b2) )],[refute_0_310,refute_0_409]) ).
cnf(refute_0_411,plain,
( and(i2,b2) != and(b2,i2)
| and(i2,not(d2)) != and(i2,b2)
| and(i2,not(d2)) = and(b2,i2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i2,not(d2)))),bind(Y0,$fot(and(i2,b2))),bind(Z0,$fot(and(b2,i2)))]]) ).
cnf(refute_0_412,plain,
( and(i2,b2) != and(b2,i2)
| and(i2,not(d2)) = and(b2,i2) ),
inference(resolve,[$cnf( $equal(and(i2,not(d2)),and(i2,b2)) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
and(i2,not(d2)) = and(b2,i2),
inference(resolve,[$cnf( $equal(and(i2,b2),and(b2,i2)) )],[refute_0_406,refute_0_412]) ).
cnf(refute_0_414,plain,
or(d2,and(i2,not(d2))) = or(d2,and(i2,not(d2))),
introduced(tautology,[refl,[$fot(or(d2,and(i2,not(d2))))]]) ).
cnf(refute_0_415,plain,
( and(i2,not(d2)) != and(b2,i2)
| or(d2,and(i2,not(d2))) != or(d2,and(i2,not(d2)))
| or(d2,and(i2,not(d2))) = or(d2,and(b2,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(d2,and(i2,not(d2))),or(d2,and(i2,not(d2)))) ),[1,1],$fot(and(b2,i2))]]) ).
cnf(refute_0_416,plain,
( and(i2,not(d2)) != and(b2,i2)
| or(d2,and(i2,not(d2))) = or(d2,and(b2,i2)) ),
inference(resolve,[$cnf( $equal(or(d2,and(i2,not(d2))),or(d2,and(i2,not(d2)))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
or(d2,and(i2,not(d2))) = or(d2,and(b2,i2)),
inference(resolve,[$cnf( $equal(and(i2,not(d2)),and(b2,i2)) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
( or(d2,and(i2,not(d2))) != i2
| or(d2,and(i2,not(d2))) != or(d2,and(b2,i2))
| or(d2,and(b2,i2)) = i2 ),
introduced(tautology,[equality,[$cnf( $equal(or(d2,and(i2,not(d2))),i2) ),[0],$fot(or(d2,and(b2,i2)))]]) ).
cnf(refute_0_419,plain,
( or(d2,and(i2,not(d2))) != i2
| or(d2,and(b2,i2)) = i2 ),
inference(resolve,[$cnf( $equal(or(d2,and(i2,not(d2))),or(d2,and(b2,i2))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
or(d2,and(b2,i2)) = i2,
inference(resolve,[$cnf( $equal(or(d2,and(i2,not(d2))),i2) )],[refute_0_405,refute_0_419]) ).
cnf(refute_0_421,plain,
( c2 != or(d2,d3)
| or(d2,d3) = c2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c2)),bind(Y0,$fot(or(d2,d3)))]]) ).
cnf(refute_0_422,plain,
or(d2,d3) = c2,
inference(resolve,[$cnf( $equal(c2,or(d2,d3)) )],[constructor7,refute_0_421]) ).
cnf(refute_0_423,plain,
not(not(and(b2,i2))) = and(b2,i2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b2,i2)))]]) ).
cnf(refute_0_424,plain,
not(and(X_109,i2)) = or(not(X_109),not(i2)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(i2))]]) ).
cnf(refute_0_425,plain,
( not(and(X_109,i2)) != or(not(X_109),not(i2))
| not(i2) != f2
| not(and(X_109,i2)) = or(not(X_109),f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,i2)),or(not(X_109),not(i2))) ),[1,1],$fot(f2)]]) ).
cnf(refute_0_426,plain,
( not(and(X_109,i2)) != or(not(X_109),not(i2))
| not(and(X_109,i2)) = or(not(X_109),f2) ),
inference(resolve,[$cnf( $equal(not(i2),f2) )],[refute_0_320,refute_0_425]) ).
cnf(refute_0_427,plain,
not(and(X_109,i2)) = or(not(X_109),f2),
inference(resolve,[$cnf( $equal(not(and(X_109,i2)),or(not(X_109),not(i2))) )],[refute_0_424,refute_0_426]) ).
cnf(refute_0_428,plain,
or(not(X_109),f2) = or(f2,not(X_109)),
inference(subst,[],[refute_0_37:[bind(X,$fot(f2)),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_429,plain,
( not(and(X_109,i2)) != or(not(X_109),f2)
| or(not(X_109),f2) != or(f2,not(X_109))
| not(and(X_109,i2)) = or(f2,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,i2)),or(f2,not(X_109))) ),[0],$fot(or(not(X_109),f2))]]) ).
cnf(refute_0_430,plain,
( not(and(X_109,i2)) != or(not(X_109),f2)
| not(and(X_109,i2)) = or(f2,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),f2),or(f2,not(X_109))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
not(and(X_109,i2)) = or(f2,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,i2)),or(not(X_109),f2)) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
not(and(b2,i2)) = or(f2,not(b2)),
inference(subst,[],[refute_0_431:[bind(X_109,$fot(b2))]]) ).
cnf(refute_0_433,plain,
( not(and(b2,i2)) != or(f2,not(b2))
| not(b2) != d2
| not(and(b2,i2)) = or(f2,d2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b2,i2)),or(f2,not(b2))) ),[1,1],$fot(d2)]]) ).
cnf(refute_0_434,plain,
( not(and(b2,i2)) != or(f2,not(b2))
| not(and(b2,i2)) = or(f2,d2) ),
inference(resolve,[$cnf( $equal(not(b2),d2) )],[refute_0_397,refute_0_433]) ).
cnf(refute_0_435,plain,
not(and(b2,i2)) = or(f2,d2),
inference(resolve,[$cnf( $equal(not(and(b2,i2)),or(f2,not(b2))) )],[refute_0_432,refute_0_434]) ).
cnf(refute_0_436,plain,
or(and(f2,not(d3)),and(not(d3),not(f2))) = not(d3),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(f2)),bind(Y,$fot(not(d3)))]]) ).
cnf(refute_0_437,plain,
or(and(d3,f2),and(f2,not(d3))) = f2,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d3)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_438,plain,
and(f2,and(X_41,not(f2))) = n0,
inference(subst,[],[refute_0_206:[bind(X,$fot(f2)),bind(Y,$fot(X_41))]]) ).
cnf(refute_0_439,plain,
not(not(i2)) = i2,
inference(subst,[],[not_simplification:[bind(X,$fot(i2))]]) ).
cnf(refute_0_440,plain,
( not(i2) != f2
| not(not(i2)) != i2
| not(f2) = i2 ),
introduced(tautology,[equality,[$cnf( $equal(not(not(i2)),i2) ),[0,0],$fot(f2)]]) ).
cnf(refute_0_441,plain,
( not(not(i2)) != i2
| not(f2) = i2 ),
inference(resolve,[$cnf( $equal(not(i2),f2) )],[refute_0_320,refute_0_440]) ).
cnf(refute_0_442,plain,
not(f2) = i2,
inference(resolve,[$cnf( $equal(not(not(i2)),i2) )],[refute_0_439,refute_0_441]) ).
cnf(refute_0_443,plain,
( and(f2,and(X_41,not(f2))) != n0
| not(f2) != i2
| and(f2,and(X_41,i2)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,and(X_41,not(f2))),n0) ),[0,1,1],$fot(i2)]]) ).
cnf(refute_0_444,plain,
( and(f2,and(X_41,not(f2))) != n0
| and(f2,and(X_41,i2)) = n0 ),
inference(resolve,[$cnf( $equal(not(f2),i2) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
and(f2,and(X_41,i2)) = n0,
inference(resolve,[$cnf( $equal(and(f2,and(X_41,not(f2))),n0) )],[refute_0_438,refute_0_444]) ).
cnf(refute_0_446,plain,
and(f2,and(d3,i2)) = n0,
inference(subst,[],[refute_0_445:[bind(X_41,$fot(d3))]]) ).
cnf(refute_0_447,plain,
and(and(X,Y),X) = and(X,and(Y,X)),
inference(subst,[],[refute_0_202:[bind(Z,$fot(X))]]) ).
cnf(refute_0_448,plain,
( and(and(X,Y),X) != and(X,Y)
| and(and(X,Y),X) != and(X,and(Y,X))
| and(X,and(Y,X)) = and(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,Y),X),and(X,Y)) ),[0],$fot(and(X,and(Y,X)))]]) ).
cnf(refute_0_449,plain,
( and(and(X,Y),X) != and(X,Y)
| and(X,and(Y,X)) = and(X,Y) ),
inference(resolve,[$cnf( $equal(and(and(X,Y),X),and(X,and(Y,X))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
and(X,and(Y,X)) = and(X,Y),
inference(resolve,[$cnf( $equal(and(and(X,Y),X),and(X,Y)) )],[and_simplification3,refute_0_449]) ).
cnf(refute_0_451,plain,
and(i2,and(i1,i2)) = and(i2,i1),
inference(subst,[],[refute_0_450:[bind(X,$fot(i2)),bind(Y,$fot(i1))]]) ).
cnf(refute_0_452,plain,
( and(i1,i2) != d3
| and(i2,and(i1,i2)) != and(i2,i1)
| and(i2,d3) = and(i2,i1) ),
introduced(tautology,[equality,[$cnf( $equal(and(i2,and(i1,i2)),and(i2,i1)) ),[0,1],$fot(d3)]]) ).
cnf(refute_0_453,plain,
( and(i2,and(i1,i2)) != and(i2,i1)
| and(i2,d3) = and(i2,i1) ),
inference(resolve,[$cnf( $equal(and(i1,i2),d3) )],[refute_0_223,refute_0_452]) ).
cnf(refute_0_454,plain,
and(i2,d3) = and(i2,i1),
inference(resolve,[$cnf( $equal(and(i2,and(i1,i2)),and(i2,i1)) )],[refute_0_451,refute_0_453]) ).
cnf(refute_0_455,plain,
and(i2,d3) = and(d3,i2),
inference(subst,[],[refute_0_129:[bind(X,$fot(d3)),bind(Y,$fot(i2))]]) ).
cnf(refute_0_456,plain,
( and(i2,d3) != and(d3,i2)
| and(i2,d3) != and(i2,i1)
| and(d3,i2) = and(i2,i1) ),
introduced(tautology,[equality,[$cnf( $equal(and(i2,d3),and(i2,i1)) ),[0],$fot(and(d3,i2))]]) ).
cnf(refute_0_457,plain,
( and(i2,d3) != and(i2,i1)
| and(d3,i2) = and(i2,i1) ),
inference(resolve,[$cnf( $equal(and(i2,d3),and(d3,i2)) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
and(i2,i1) = and(i1,i2),
inference(subst,[],[refute_0_129:[bind(X,$fot(i1)),bind(Y,$fot(i2))]]) ).
cnf(refute_0_459,plain,
( and(i1,i2) != d3
| and(i2,i1) != and(i1,i2)
| and(i2,i1) = d3 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i2,i1))),bind(Y0,$fot(and(i1,i2))),bind(Z0,$fot(d3))]]) ).
cnf(refute_0_460,plain,
( and(i1,i2) != d3
| and(i2,i1) = d3 ),
inference(resolve,[$cnf( $equal(and(i2,i1),and(i1,i2)) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
and(i2,i1) = d3,
inference(resolve,[$cnf( $equal(and(i1,i2),d3) )],[refute_0_223,refute_0_460]) ).
cnf(refute_0_462,plain,
( and(d3,i2) != and(i2,i1)
| and(i2,i1) != d3
| and(d3,i2) = d3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(d3,i2),d3) ),[0],$fot(and(i2,i1))]]) ).
cnf(refute_0_463,plain,
( and(d3,i2) != and(i2,i1)
| and(d3,i2) = d3 ),
inference(resolve,[$cnf( $equal(and(i2,i1),d3) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
( and(i2,d3) != and(i2,i1)
| and(d3,i2) = d3 ),
inference(resolve,[$cnf( $equal(and(d3,i2),and(i2,i1)) )],[refute_0_457,refute_0_463]) ).
cnf(refute_0_465,plain,
and(d3,i2) = d3,
inference(resolve,[$cnf( $equal(and(i2,d3),and(i2,i1)) )],[refute_0_454,refute_0_464]) ).
cnf(refute_0_466,plain,
( and(d3,i2) != d3
| and(f2,and(d3,i2)) != n0
| and(f2,d3) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,and(d3,i2)),n0) ),[0,1],$fot(d3)]]) ).
cnf(refute_0_467,plain,
( and(f2,and(d3,i2)) != n0
| and(f2,d3) = n0 ),
inference(resolve,[$cnf( $equal(and(d3,i2),d3) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
and(f2,d3) = n0,
inference(resolve,[$cnf( $equal(and(f2,and(d3,i2)),n0) )],[refute_0_446,refute_0_467]) ).
cnf(refute_0_469,plain,
and(f2,d3) = and(d3,f2),
inference(subst,[],[refute_0_129:[bind(X,$fot(d3)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_470,plain,
( and(f2,d3) != and(d3,f2)
| and(f2,d3) != n0
| and(d3,f2) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,d3),n0) ),[0],$fot(and(d3,f2))]]) ).
cnf(refute_0_471,plain,
( and(f2,d3) != n0
| and(d3,f2) = n0 ),
inference(resolve,[$cnf( $equal(and(f2,d3),and(d3,f2)) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
and(d3,f2) = n0,
inference(resolve,[$cnf( $equal(and(f2,d3),n0) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
( and(d3,f2) != n0
| or(and(d3,f2),and(f2,not(d3))) != f2
| or(n0,and(f2,not(d3))) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d3,f2),and(f2,not(d3))),f2) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_474,plain,
( or(and(d3,f2),and(f2,not(d3))) != f2
| or(n0,and(f2,not(d3))) = f2 ),
inference(resolve,[$cnf( $equal(and(d3,f2),n0) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
or(n0,and(f2,not(d3))) = f2,
inference(resolve,[$cnf( $equal(or(and(d3,f2),and(f2,not(d3))),f2) )],[refute_0_437,refute_0_474]) ).
cnf(refute_0_476,plain,
or(n0,and(f2,not(d3))) = and(f2,not(d3)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(f2,not(d3))))]]) ).
cnf(refute_0_477,plain,
( or(n0,and(f2,not(d3))) != and(f2,not(d3))
| or(n0,and(f2,not(d3))) != f2
| and(f2,not(d3)) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(f2,not(d3))),f2) ),[0],$fot(and(f2,not(d3)))]]) ).
cnf(refute_0_478,plain,
( or(n0,and(f2,not(d3))) != f2
| and(f2,not(d3)) = f2 ),
inference(resolve,[$cnf( $equal(or(n0,and(f2,not(d3))),and(f2,not(d3))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
and(f2,not(d3)) = f2,
inference(resolve,[$cnf( $equal(or(n0,and(f2,not(d3))),f2) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
( and(f2,not(d3)) != f2
| or(and(f2,not(d3)),and(not(d3),not(f2))) != not(d3)
| or(f2,and(not(d3),not(f2))) = not(d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f2,not(d3)),and(not(d3),not(f2))),not(d3)) ),[0,0],$fot(f2)]]) ).
cnf(refute_0_481,plain,
( or(and(f2,not(d3)),and(not(d3),not(f2))) != not(d3)
| or(f2,and(not(d3),not(f2))) = not(d3) ),
inference(resolve,[$cnf( $equal(and(f2,not(d3)),f2) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
or(f2,and(not(d3),not(f2))) = not(d3),
inference(resolve,[$cnf( $equal(or(and(f2,not(d3)),and(not(d3),not(f2))),not(d3)) )],[refute_0_436,refute_0_481]) ).
cnf(refute_0_483,plain,
or(f2,d2) = or(d2,f2),
inference(subst,[],[refute_0_37:[bind(X,$fot(d2)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_484,plain,
not(or(d3,f2)) = not(or(d3,f2)),
introduced(tautology,[refl,[$fot(not(or(d3,f2)))]]) ).
cnf(refute_0_485,plain,
( not(or(d3,f2)) != not(or(d3,f2))
| or(d3,f2) != b2
| not(or(d3,f2)) = not(b2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d3,f2)),not(or(d3,f2))) ),[1,0],$fot(b2)]]) ).
cnf(refute_0_486,plain,
( or(d3,f2) != b2
| not(or(d3,f2)) = not(b2) ),
inference(resolve,[$cnf( $equal(not(or(d3,f2)),not(or(d3,f2))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
not(or(d3,f2)) = not(b2),
inference(resolve,[$cnf( $equal(or(d3,f2),b2) )],[refute_0_373,refute_0_486]) ).
cnf(refute_0_488,plain,
( not(b2) != d2
| not(or(d3,f2)) != not(b2)
| not(or(d3,f2)) = d2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(or(d3,f2)))),bind(Y0,$fot(not(b2))),bind(Z0,$fot(d2))]]) ).
cnf(refute_0_489,plain,
( not(b2) != d2
| not(or(d3,f2)) = d2 ),
inference(resolve,[$cnf( $equal(not(or(d3,f2)),not(b2)) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
not(or(d3,f2)) = d2,
inference(resolve,[$cnf( $equal(not(b2),d2) )],[refute_0_397,refute_0_489]) ).
cnf(refute_0_491,plain,
and(not(d3),not(f2)) = not(or(d3,f2)),
inference(subst,[],[refute_0_250:[bind(X,$fot(d3)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_492,plain,
( and(not(d3),not(f2)) != not(or(d3,f2))
| not(or(d3,f2)) != d2
| and(not(d3),not(f2)) = d2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(not(d3),not(f2)))),bind(Y0,$fot(not(or(d3,f2)))),bind(Z0,$fot(d2))]]) ).
cnf(refute_0_493,plain,
( not(or(d3,f2)) != d2
| and(not(d3),not(f2)) = d2 ),
inference(resolve,[$cnf( $equal(and(not(d3),not(f2)),not(or(d3,f2))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
and(not(d3),not(f2)) = d2,
inference(resolve,[$cnf( $equal(not(or(d3,f2)),d2) )],[refute_0_490,refute_0_493]) ).
cnf(refute_0_495,plain,
or(f2,and(not(d3),not(f2))) = or(f2,and(not(d3),not(f2))),
introduced(tautology,[refl,[$fot(or(f2,and(not(d3),not(f2))))]]) ).
cnf(refute_0_496,plain,
( and(not(d3),not(f2)) != d2
| or(f2,and(not(d3),not(f2))) != or(f2,and(not(d3),not(f2)))
| or(f2,and(not(d3),not(f2))) = or(f2,d2) ),
introduced(tautology,[equality,[$cnf( $equal(or(f2,and(not(d3),not(f2))),or(f2,and(not(d3),not(f2)))) ),[1,1],$fot(d2)]]) ).
cnf(refute_0_497,plain,
( and(not(d3),not(f2)) != d2
| or(f2,and(not(d3),not(f2))) = or(f2,d2) ),
inference(resolve,[$cnf( $equal(or(f2,and(not(d3),not(f2))),or(f2,and(not(d3),not(f2)))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
or(f2,and(not(d3),not(f2))) = or(f2,d2),
inference(resolve,[$cnf( $equal(and(not(d3),not(f2)),d2) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
( or(f2,and(not(d3),not(f2))) != or(f2,d2)
| or(f2,d2) != or(d2,f2)
| or(f2,and(not(d3),not(f2))) = or(d2,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f2,and(not(d3),not(f2))))),bind(Y0,$fot(or(f2,d2))),bind(Z0,$fot(or(d2,f2)))]]) ).
cnf(refute_0_500,plain,
( or(f2,d2) != or(d2,f2)
| or(f2,and(not(d3),not(f2))) = or(d2,f2) ),
inference(resolve,[$cnf( $equal(or(f2,and(not(d3),not(f2))),or(f2,d2)) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
or(f2,and(not(d3),not(f2))) = or(d2,f2),
inference(resolve,[$cnf( $equal(or(f2,d2),or(d2,f2)) )],[refute_0_483,refute_0_500]) ).
cnf(refute_0_502,plain,
( or(f2,and(not(d3),not(f2))) != not(d3)
| or(f2,and(not(d3),not(f2))) != or(d2,f2)
| or(d2,f2) = not(d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(f2,and(not(d3),not(f2))),not(d3)) ),[0],$fot(or(d2,f2))]]) ).
cnf(refute_0_503,plain,
( or(f2,and(not(d3),not(f2))) != not(d3)
| or(d2,f2) = not(d3) ),
inference(resolve,[$cnf( $equal(or(f2,and(not(d3),not(f2))),or(d2,f2)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
or(d2,f2) = not(d3),
inference(resolve,[$cnf( $equal(or(f2,and(not(d3),not(f2))),not(d3)) )],[refute_0_482,refute_0_503]) ).
cnf(refute_0_505,plain,
( or(d2,f2) != not(d3)
| or(f2,d2) != or(d2,f2)
| or(f2,d2) = not(d3) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f2,d2))),bind(Y0,$fot(or(d2,f2))),bind(Z0,$fot(not(d3)))]]) ).
cnf(refute_0_506,plain,
( or(d2,f2) != not(d3)
| or(f2,d2) = not(d3) ),
inference(resolve,[$cnf( $equal(or(f2,d2),or(d2,f2)) )],[refute_0_483,refute_0_505]) ).
cnf(refute_0_507,plain,
or(f2,d2) = not(d3),
inference(resolve,[$cnf( $equal(or(d2,f2),not(d3)) )],[refute_0_504,refute_0_506]) ).
cnf(refute_0_508,plain,
( not(and(b2,i2)) != or(f2,d2)
| or(f2,d2) != not(d3)
| not(and(b2,i2)) = not(d3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b2,i2)),not(d3)) ),[0],$fot(or(f2,d2))]]) ).
cnf(refute_0_509,plain,
( not(and(b2,i2)) != or(f2,d2)
| not(and(b2,i2)) = not(d3) ),
inference(resolve,[$cnf( $equal(or(f2,d2),not(d3)) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
not(and(b2,i2)) = not(d3),
inference(resolve,[$cnf( $equal(not(and(b2,i2)),or(f2,d2)) )],[refute_0_435,refute_0_509]) ).
cnf(refute_0_511,plain,
( not(and(b2,i2)) != not(d3)
| not(not(and(b2,i2))) != and(b2,i2)
| not(not(d3)) = and(b2,i2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b2,i2))),and(b2,i2)) ),[0,0],$fot(not(d3))]]) ).
cnf(refute_0_512,plain,
( not(not(and(b2,i2))) != and(b2,i2)
| not(not(d3)) = and(b2,i2) ),
inference(resolve,[$cnf( $equal(not(and(b2,i2)),not(d3)) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
not(not(d3)) = and(b2,i2),
inference(resolve,[$cnf( $equal(not(not(and(b2,i2))),and(b2,i2)) )],[refute_0_423,refute_0_512]) ).
cnf(refute_0_514,plain,
( not(not(d3)) != and(b2,i2)
| not(not(d3)) != d3
| d3 = and(b2,i2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(d3)),and(b2,i2)) ),[0],$fot(d3)]]) ).
cnf(refute_0_515,plain,
( not(not(d3)) != and(b2,i2)
| d3 = and(b2,i2) ),
inference(resolve,[$cnf( $equal(not(not(d3)),d3) )],[refute_0_274,refute_0_514]) ).
cnf(refute_0_516,plain,
d3 = and(b2,i2),
inference(resolve,[$cnf( $equal(not(not(d3)),and(b2,i2)) )],[refute_0_513,refute_0_515]) ).
cnf(refute_0_517,plain,
( d3 != and(b2,i2)
| and(b2,i2) = d3 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d3)),bind(Y0,$fot(and(b2,i2)))]]) ).
cnf(refute_0_518,plain,
and(b2,i2) = d3,
inference(resolve,[$cnf( $equal(d3,and(b2,i2)) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
or(d2,and(b2,i2)) = or(d2,and(b2,i2)),
introduced(tautology,[refl,[$fot(or(d2,and(b2,i2)))]]) ).
cnf(refute_0_520,plain,
( and(b2,i2) != d3
| or(d2,and(b2,i2)) != or(d2,and(b2,i2))
| or(d2,and(b2,i2)) = or(d2,d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(d2,and(b2,i2)),or(d2,and(b2,i2))) ),[1,1],$fot(d3)]]) ).
cnf(refute_0_521,plain,
( and(b2,i2) != d3
| or(d2,and(b2,i2)) = or(d2,d3) ),
inference(resolve,[$cnf( $equal(or(d2,and(b2,i2)),or(d2,and(b2,i2))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
or(d2,and(b2,i2)) = or(d2,d3),
inference(resolve,[$cnf( $equal(and(b2,i2),d3) )],[refute_0_518,refute_0_521]) ).
cnf(refute_0_523,plain,
( or(d2,and(b2,i2)) != or(d2,d3)
| or(d2,d3) != c2
| or(d2,and(b2,i2)) = c2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d2,and(b2,i2)))),bind(Y0,$fot(or(d2,d3))),bind(Z0,$fot(c2))]]) ).
cnf(refute_0_524,plain,
( or(d2,d3) != c2
| or(d2,and(b2,i2)) = c2 ),
inference(resolve,[$cnf( $equal(or(d2,and(b2,i2)),or(d2,d3)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
or(d2,and(b2,i2)) = c2,
inference(resolve,[$cnf( $equal(or(d2,d3),c2) )],[refute_0_422,refute_0_524]) ).
cnf(refute_0_526,plain,
( or(d2,and(b2,i2)) != c2
| or(d2,and(b2,i2)) != i2
| c2 = i2 ),
introduced(tautology,[equality,[$cnf( $equal(or(d2,and(b2,i2)),i2) ),[0],$fot(c2)]]) ).
cnf(refute_0_527,plain,
( or(d2,and(b2,i2)) != i2
| c2 = i2 ),
inference(resolve,[$cnf( $equal(or(d2,and(b2,i2)),c2) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
c2 = i2,
inference(resolve,[$cnf( $equal(or(d2,and(b2,i2)),i2) )],[refute_0_420,refute_0_527]) ).
cnf(refute_0_529,plain,
( c2 != i2
| i2 = c2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c2)),bind(Y0,$fot(i2))]]) ).
cnf(refute_0_530,plain,
i2 = c2,
inference(resolve,[$cnf( $equal(c2,i2) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
input(c1,i2) = input(c1,i2),
introduced(tautology,[refl,[$fot(input(c1,i2))]]) ).
cnf(refute_0_532,plain,
( i2 != c2
| input(c1,i2) != input(c1,i2)
| input(c1,i2) = input(c1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(input(c1,i2),input(c1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_533,plain,
( i2 != c2
| input(c1,i2) = input(c1,c2) ),
inference(resolve,[$cnf( $equal(input(c1,i2),input(c1,i2)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
input(c1,i2) = input(c1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
( input(c1,i2) != input(c1,c2)
| ~ circuit(input(c1,c2),output(i2,c1))
| circuit(input(c1,i2),output(i2,c1)) ),
introduced(tautology,[equality,[$cnf( ~ circuit(input(c1,i2),output(i2,c1)) ),[0],$fot(input(c1,c2))]]) ).
cnf(refute_0_536,plain,
( ~ circuit(input(c1,c2),output(i2,c1))
| circuit(input(c1,i2),output(i2,c1)) ),
inference(resolve,[$cnf( $equal(input(c1,i2),input(c1,c2)) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
output(i2,c1) = output(i2,c1),
introduced(tautology,[refl,[$fot(output(i2,c1))]]) ).
cnf(refute_0_538,plain,
( i2 != c2
| output(i2,c1) != output(i2,c1)
| output(i2,c1) = output(c2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(output(i2,c1),output(i2,c1)) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_539,plain,
( i2 != c2
| output(i2,c1) = output(c2,c1) ),
inference(resolve,[$cnf( $equal(output(i2,c1),output(i2,c1)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
output(i2,c1) = output(c2,c1),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_539]) ).
cnf(refute_0_541,plain,
( output(i2,c1) != output(c2,c1)
| ~ circuit(input(c1,c2),output(c2,c1))
| circuit(input(c1,c2),output(i2,c1)) ),
introduced(tautology,[equality,[$cnf( ~ circuit(input(c1,c2),output(i2,c1)) ),[1],$fot(output(c2,c1))]]) ).
cnf(refute_0_542,plain,
( ~ circuit(input(c1,c2),output(c2,c1))
| circuit(input(c1,c2),output(i2,c1)) ),
inference(resolve,[$cnf( $equal(output(i2,c1),output(c2,c1)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( ~ circuit(input(c1,c2),output(c2,c1))
| circuit(input(c1,i2),output(i2,c1)) ),
inference(resolve,[$cnf( circuit(input(c1,c2),output(i2,c1)) )],[refute_0_542,refute_0_536]) ).
cnf(refute_0_544,plain,
~ circuit(input(c1,c2),output(c2,c1)),
inference(resolve,[$cnf( circuit(input(c1,i2),output(i2,c1)) )],[refute_0_543,refute_0_305]) ).
cnf(refute_0_545,plain,
not(not(and(b3,or(c2,f1)))) = and(b3,or(c2,f1)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b3,or(c2,f1))))]]) ).
cnf(refute_0_546,plain,
or(and(f1,f2),and(f2,not(f1))) = f2,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(f1)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_547,plain,
not(not(and(f1,f2))) = and(f1,f2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(f1,f2)))]]) ).
cnf(refute_0_548,plain,
not(and(X_109,f2)) = or(not(X_109),not(f2)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_549,plain,
( not(and(X_109,f2)) != or(not(X_109),not(f2))
| not(f2) != i2
| not(and(X_109,f2)) = or(not(X_109),i2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,f2)),or(not(X_109),not(f2))) ),[1,1],$fot(i2)]]) ).
cnf(refute_0_550,plain,
( not(and(X_109,f2)) != or(not(X_109),not(f2))
| not(and(X_109,f2)) = or(not(X_109),i2) ),
inference(resolve,[$cnf( $equal(not(f2),i2) )],[refute_0_442,refute_0_549]) ).
cnf(refute_0_551,plain,
not(and(X_109,f2)) = or(not(X_109),i2),
inference(resolve,[$cnf( $equal(not(and(X_109,f2)),or(not(X_109),not(f2))) )],[refute_0_548,refute_0_550]) ).
cnf(refute_0_552,plain,
or(not(X_109),i2) = or(i2,not(X_109)),
inference(subst,[],[refute_0_37:[bind(X,$fot(i2)),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_553,plain,
( not(and(X_109,f2)) != or(not(X_109),i2)
| or(not(X_109),i2) != or(i2,not(X_109))
| not(and(X_109,f2)) = or(i2,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,f2)),or(i2,not(X_109))) ),[0],$fot(or(not(X_109),i2))]]) ).
cnf(refute_0_554,plain,
( not(and(X_109,f2)) != or(not(X_109),i2)
| not(and(X_109,f2)) = or(i2,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),i2),or(i2,not(X_109))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
not(and(X_109,f2)) = or(i2,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,f2)),or(not(X_109),i2)) )],[refute_0_551,refute_0_554]) ).
cnf(refute_0_556,plain,
not(and(f1,f2)) = or(i2,not(f1)),
inference(subst,[],[refute_0_555:[bind(X_109,$fot(f1))]]) ).
cnf(refute_0_557,plain,
( not(and(f1,f2)) != or(i2,not(f1))
| not(f1) != i1
| not(and(f1,f2)) = or(i2,i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,f2)),or(i2,not(f1))) ),[1,1],$fot(i1)]]) ).
cnf(refute_0_558,plain,
( not(and(f1,f2)) != or(i2,not(f1))
| not(and(f1,f2)) = or(i2,i1) ),
inference(resolve,[$cnf( $equal(not(f1),i1) )],[refute_0_10,refute_0_557]) ).
cnf(refute_0_559,plain,
not(and(f1,f2)) = or(i2,i1),
inference(resolve,[$cnf( $equal(not(and(f1,f2)),or(i2,not(f1))) )],[refute_0_556,refute_0_558]) ).
cnf(refute_0_560,plain,
or(i2,i1) = or(i1,i2),
inference(subst,[],[refute_0_37:[bind(X,$fot(i1)),bind(Y,$fot(i2))]]) ).
cnf(refute_0_561,plain,
( not(and(f1,f2)) != or(i2,i1)
| or(i2,i1) != or(i1,i2)
| not(and(f1,f2)) = or(i1,i2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f1,f2)),or(i1,i2)) ),[0],$fot(or(i2,i1))]]) ).
cnf(refute_0_562,plain,
( not(and(f1,f2)) != or(i2,i1)
| not(and(f1,f2)) = or(i1,i2) ),
inference(resolve,[$cnf( $equal(or(i2,i1),or(i1,i2)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
not(and(f1,f2)) = or(i1,i2),
inference(resolve,[$cnf( $equal(not(and(f1,f2)),or(i2,i1)) )],[refute_0_559,refute_0_562]) ).
cnf(refute_0_564,plain,
( not(and(f1,f2)) != or(i1,i2)
| not(not(and(f1,f2))) != and(f1,f2)
| not(or(i1,i2)) = and(f1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(f1,f2))),and(f1,f2)) ),[0,0],$fot(or(i1,i2))]]) ).
cnf(refute_0_565,plain,
( not(not(and(f1,f2))) != and(f1,f2)
| not(or(i1,i2)) = and(f1,f2) ),
inference(resolve,[$cnf( $equal(not(and(f1,f2)),or(i1,i2)) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
not(or(i1,i2)) = and(f1,f2),
inference(resolve,[$cnf( $equal(not(not(and(f1,f2))),and(f1,f2)) )],[refute_0_547,refute_0_565]) ).
cnf(refute_0_567,plain,
or(i1,i2) = or(i1,i2),
introduced(tautology,[refl,[$fot(or(i1,i2))]]) ).
cnf(refute_0_568,plain,
( i1 != c1
| or(i1,i2) != or(i1,i2)
| or(i1,i2) = or(c1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(or(i1,i2),or(i1,i2)) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_569,plain,
( i1 != c1
| or(i1,i2) = or(c1,i2) ),
inference(resolve,[$cnf( $equal(or(i1,i2),or(i1,i2)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
or(i1,i2) = or(c1,i2),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_569]) ).
cnf(refute_0_571,plain,
not(or(i1,i2)) = not(or(i1,i2)),
introduced(tautology,[refl,[$fot(not(or(i1,i2)))]]) ).
cnf(refute_0_572,plain,
( not(or(i1,i2)) != not(or(i1,i2))
| or(i1,i2) != or(c1,i2)
| not(or(i1,i2)) = not(or(c1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(i1,i2)),not(or(i1,i2))) ),[1,0],$fot(or(c1,i2))]]) ).
cnf(refute_0_573,plain,
( or(i1,i2) != or(c1,i2)
| not(or(i1,i2)) = not(or(c1,i2)) ),
inference(resolve,[$cnf( $equal(not(or(i1,i2)),not(or(i1,i2))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
not(or(i1,i2)) = not(or(c1,i2)),
inference(resolve,[$cnf( $equal(or(i1,i2),or(c1,i2)) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
( not(or(i1,i2)) != and(f1,f2)
| not(or(i1,i2)) != not(or(c1,i2))
| not(or(c1,i2)) = and(f1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(i1,i2)),and(f1,f2)) ),[0],$fot(not(or(c1,i2)))]]) ).
cnf(refute_0_576,plain,
( not(or(i1,i2)) != and(f1,f2)
| not(or(c1,i2)) = and(f1,f2) ),
inference(resolve,[$cnf( $equal(not(or(i1,i2)),not(or(c1,i2))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
not(or(c1,i2)) = and(f1,f2),
inference(resolve,[$cnf( $equal(not(or(i1,i2)),and(f1,f2)) )],[refute_0_566,refute_0_576]) ).
cnf(refute_0_578,plain,
( b3 != or(c1,c2)
| or(c1,c2) = b3 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b3)),bind(Y0,$fot(or(c1,c2)))]]) ).
cnf(refute_0_579,plain,
or(c1,c2) = b3,
inference(resolve,[$cnf( $equal(b3,or(c1,c2)) )],[constructor5,refute_0_578]) ).
cnf(refute_0_580,plain,
or(c1,i2) = or(c1,i2),
introduced(tautology,[refl,[$fot(or(c1,i2))]]) ).
cnf(refute_0_581,plain,
( i2 != c2
| or(c1,i2) != or(c1,i2)
| or(c1,i2) = or(c1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,i2),or(c1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_582,plain,
( i2 != c2
| or(c1,i2) = or(c1,c2) ),
inference(resolve,[$cnf( $equal(or(c1,i2),or(c1,i2)) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
or(c1,i2) = or(c1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_582]) ).
cnf(refute_0_584,plain,
( or(c1,c2) != b3
| or(c1,i2) != or(c1,c2)
| or(c1,i2) = b3 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(c1,i2))),bind(Y0,$fot(or(c1,c2))),bind(Z0,$fot(b3))]]) ).
cnf(refute_0_585,plain,
( or(c1,c2) != b3
| or(c1,i2) = b3 ),
inference(resolve,[$cnf( $equal(or(c1,i2),or(c1,c2)) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
or(c1,i2) = b3,
inference(resolve,[$cnf( $equal(or(c1,c2),b3) )],[refute_0_579,refute_0_585]) ).
cnf(refute_0_587,plain,
not(or(c1,i2)) = not(or(c1,i2)),
introduced(tautology,[refl,[$fot(not(or(c1,i2)))]]) ).
cnf(refute_0_588,plain,
( not(or(c1,i2)) != not(or(c1,i2))
| or(c1,i2) != b3
| not(or(c1,i2)) = not(b3) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(c1,i2)),not(or(c1,i2))) ),[1,0],$fot(b3)]]) ).
cnf(refute_0_589,plain,
( or(c1,i2) != b3
| not(or(c1,i2)) = not(b3) ),
inference(resolve,[$cnf( $equal(not(or(c1,i2)),not(or(c1,i2))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
not(or(c1,i2)) = not(b3),
inference(resolve,[$cnf( $equal(or(c1,i2),b3) )],[refute_0_586,refute_0_589]) ).
cnf(refute_0_591,plain,
( not(or(c1,i2)) != and(f1,f2)
| not(or(c1,i2)) != not(b3)
| not(b3) = and(f1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(c1,i2)),and(f1,f2)) ),[0],$fot(not(b3))]]) ).
cnf(refute_0_592,plain,
( not(or(c1,i2)) != and(f1,f2)
| not(b3) = and(f1,f2) ),
inference(resolve,[$cnf( $equal(not(or(c1,i2)),not(b3)) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
not(b3) = and(f1,f2),
inference(resolve,[$cnf( $equal(not(or(c1,i2)),and(f1,f2)) )],[refute_0_577,refute_0_592]) ).
cnf(refute_0_594,plain,
( not(b3) != and(f1,f2)
| and(f1,f2) = not(b3) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(b3))),bind(Y0,$fot(and(f1,f2)))]]) ).
cnf(refute_0_595,plain,
and(f1,f2) = not(b3),
inference(resolve,[$cnf( $equal(not(b3),and(f1,f2)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
( and(f1,f2) != not(b3)
| or(and(f1,f2),and(f2,not(f1))) != f2
| or(not(b3),and(f2,not(f1))) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f1,f2),and(f2,not(f1))),f2) ),[0,0],$fot(not(b3))]]) ).
cnf(refute_0_597,plain,
( or(and(f1,f2),and(f2,not(f1))) != f2
| or(not(b3),and(f2,not(f1))) = f2 ),
inference(resolve,[$cnf( $equal(and(f1,f2),not(b3)) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
or(not(b3),and(f2,not(f1))) = f2,
inference(resolve,[$cnf( $equal(or(and(f1,f2),and(f2,not(f1))),f2) )],[refute_0_546,refute_0_597]) ).
cnf(refute_0_599,plain,
and(f2,c1) = and(c1,f2),
inference(subst,[],[refute_0_129:[bind(X,$fot(c1)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_600,plain,
( i1 != c1
| not(f1) != i1
| not(f1) = c1 ),
introduced(tautology,[equality,[$cnf( $equal(not(f1),i1) ),[1],$fot(c1)]]) ).
cnf(refute_0_601,plain,
( not(f1) != i1
| not(f1) = c1 ),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_600]) ).
cnf(refute_0_602,plain,
not(f1) = c1,
inference(resolve,[$cnf( $equal(not(f1),i1) )],[refute_0_10,refute_0_601]) ).
cnf(refute_0_603,plain,
and(f2,not(f1)) = and(f2,not(f1)),
introduced(tautology,[refl,[$fot(and(f2,not(f1)))]]) ).
cnf(refute_0_604,plain,
( and(f2,not(f1)) != and(f2,not(f1))
| not(f1) != c1
| and(f2,not(f1)) = and(f2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,not(f1)),and(f2,not(f1))) ),[1,1],$fot(c1)]]) ).
cnf(refute_0_605,plain,
( not(f1) != c1
| and(f2,not(f1)) = and(f2,c1) ),
inference(resolve,[$cnf( $equal(and(f2,not(f1)),and(f2,not(f1))) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
and(f2,not(f1)) = and(f2,c1),
inference(resolve,[$cnf( $equal(not(f1),c1) )],[refute_0_602,refute_0_605]) ).
cnf(refute_0_607,plain,
( and(f2,c1) != and(c1,f2)
| and(f2,not(f1)) != and(f2,c1)
| and(f2,not(f1)) = and(c1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f2,not(f1)))),bind(Y0,$fot(and(f2,c1))),bind(Z0,$fot(and(c1,f2)))]]) ).
cnf(refute_0_608,plain,
( and(f2,c1) != and(c1,f2)
| and(f2,not(f1)) = and(c1,f2) ),
inference(resolve,[$cnf( $equal(and(f2,not(f1)),and(f2,c1)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
and(f2,not(f1)) = and(c1,f2),
inference(resolve,[$cnf( $equal(and(f2,c1),and(c1,f2)) )],[refute_0_599,refute_0_608]) ).
cnf(refute_0_610,plain,
or(not(b3),and(f2,not(f1))) = or(not(b3),and(f2,not(f1))),
introduced(tautology,[refl,[$fot(or(not(b3),and(f2,not(f1))))]]) ).
cnf(refute_0_611,plain,
( and(f2,not(f1)) != and(c1,f2)
| or(not(b3),and(f2,not(f1))) != or(not(b3),and(f2,not(f1)))
| or(not(b3),and(f2,not(f1))) = or(not(b3),and(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(b3),and(f2,not(f1))),or(not(b3),and(f2,not(f1)))) ),[1,1],$fot(and(c1,f2))]]) ).
cnf(refute_0_612,plain,
( and(f2,not(f1)) != and(c1,f2)
| or(not(b3),and(f2,not(f1))) = or(not(b3),and(c1,f2)) ),
inference(resolve,[$cnf( $equal(or(not(b3),and(f2,not(f1))),or(not(b3),and(f2,not(f1)))) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
or(not(b3),and(f2,not(f1))) = or(not(b3),and(c1,f2)),
inference(resolve,[$cnf( $equal(and(f2,not(f1)),and(c1,f2)) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
( or(not(b3),and(f2,not(f1))) != f2
| or(not(b3),and(f2,not(f1))) != or(not(b3),and(c1,f2))
| or(not(b3),and(c1,f2)) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(b3),and(f2,not(f1))),f2) ),[0],$fot(or(not(b3),and(c1,f2)))]]) ).
cnf(refute_0_615,plain,
( or(not(b3),and(f2,not(f1))) != f2
| or(not(b3),and(c1,f2)) = f2 ),
inference(resolve,[$cnf( $equal(or(not(b3),and(f2,not(f1))),or(not(b3),and(c1,f2))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
or(not(b3),and(c1,f2)) = f2,
inference(resolve,[$cnf( $equal(or(not(b3),and(f2,not(f1))),f2) )],[refute_0_598,refute_0_615]) ).
cnf(refute_0_617,plain,
not(and(X,or(c2,f1))) = or(not(X),not(or(c2,f1))),
inference(subst,[],[not_canonicalization1:[bind(Y,$fot(or(c2,f1)))]]) ).
cnf(refute_0_618,plain,
not(not(and(f2,i1))) = and(f2,i1),
inference(subst,[],[not_simplification:[bind(X,$fot(and(f2,i1)))]]) ).
cnf(refute_0_619,plain,
not(and(i1,f2)) = or(i2,not(i1)),
inference(subst,[],[refute_0_555:[bind(X_109,$fot(i1))]]) ).
cnf(refute_0_620,plain,
( not(and(i1,f2)) != or(i2,not(i1))
| not(i1) != f1
| not(and(i1,f2)) = or(i2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,f2)),or(i2,not(i1))) ),[1,1],$fot(f1)]]) ).
cnf(refute_0_621,plain,
( not(and(i1,f2)) != or(i2,not(i1))
| not(and(i1,f2)) = or(i2,f1) ),
inference(resolve,[$cnf( $equal(not(i1),f1) )],[refute_0_7,refute_0_620]) ).
cnf(refute_0_622,plain,
not(and(i1,f2)) = or(i2,f1),
inference(resolve,[$cnf( $equal(not(and(i1,f2)),or(i2,not(i1))) )],[refute_0_619,refute_0_621]) ).
cnf(refute_0_623,plain,
not(and(X_113,f2)) = or(i2,not(X_113)),
inference(subst,[],[refute_0_555:[bind(X_109,$fot(X_113))]]) ).
cnf(refute_0_624,plain,
and(f2,X_113) = and(X_113,f2),
inference(subst,[],[and_commutativity:[bind(X,$fot(f2)),bind(Y,$fot(X_113))]]) ).
cnf(refute_0_625,plain,
( and(f2,X_113) != and(X_113,f2)
| and(X_113,f2) = and(f2,X_113) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(f2,X_113))),bind(Y0,$fot(and(X_113,f2)))]]) ).
cnf(refute_0_626,plain,
and(X_113,f2) = and(f2,X_113),
inference(resolve,[$cnf( $equal(and(f2,X_113),and(X_113,f2)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
( and(X_113,f2) != and(f2,X_113)
| not(and(X_113,f2)) != or(i2,not(X_113))
| not(and(f2,X_113)) = or(i2,not(X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_113,f2)),or(i2,not(X_113))) ),[0,0],$fot(and(f2,X_113))]]) ).
cnf(refute_0_628,plain,
( not(and(X_113,f2)) != or(i2,not(X_113))
| not(and(f2,X_113)) = or(i2,not(X_113)) ),
inference(resolve,[$cnf( $equal(and(X_113,f2),and(f2,X_113)) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
not(and(f2,X_113)) = or(i2,not(X_113)),
inference(resolve,[$cnf( $equal(not(and(X_113,f2)),or(i2,not(X_113))) )],[refute_0_623,refute_0_628]) ).
cnf(refute_0_630,plain,
( not(and(X_109,f2)) != or(i2,not(X_109))
| or(i2,not(X_109)) = not(and(X_109,f2)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,f2)))),bind(Y0,$fot(or(i2,not(X_109))))]]) ).
cnf(refute_0_631,plain,
or(i2,not(X_109)) = not(and(X_109,f2)),
inference(resolve,[$cnf( $equal(not(and(X_109,f2)),or(i2,not(X_109))) )],[refute_0_555,refute_0_630]) ).
cnf(refute_0_632,plain,
or(i2,not(X_113)) = not(and(X_113,f2)),
inference(subst,[],[refute_0_631:[bind(X_109,$fot(X_113))]]) ).
cnf(refute_0_633,plain,
( not(and(f2,X_113)) != or(i2,not(X_113))
| or(i2,not(X_113)) != not(and(X_113,f2))
| not(and(f2,X_113)) = not(and(X_113,f2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f2,X_113)),not(and(X_113,f2))) ),[0],$fot(or(i2,not(X_113)))]]) ).
cnf(refute_0_634,plain,
( not(and(f2,X_113)) != or(i2,not(X_113))
| not(and(f2,X_113)) = not(and(X_113,f2)) ),
inference(resolve,[$cnf( $equal(or(i2,not(X_113)),not(and(X_113,f2))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
not(and(f2,X_113)) = not(and(X_113,f2)),
inference(resolve,[$cnf( $equal(not(and(f2,X_113)),or(i2,not(X_113))) )],[refute_0_629,refute_0_634]) ).
cnf(refute_0_636,plain,
( not(and(f2,X_113)) != not(and(X_113,f2))
| not(and(X_113,f2)) = not(and(f2,X_113)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(f2,X_113)))),bind(Y0,$fot(not(and(X_113,f2))))]]) ).
cnf(refute_0_637,plain,
not(and(X_113,f2)) = not(and(f2,X_113)),
inference(resolve,[$cnf( $equal(not(and(f2,X_113)),not(and(X_113,f2))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
not(and(i1,f2)) = not(and(f2,i1)),
inference(subst,[],[refute_0_637:[bind(X_113,$fot(i1))]]) ).
cnf(refute_0_639,plain,
( not(and(i1,f2)) != not(and(f2,i1))
| not(and(i1,f2)) != or(i2,f1)
| not(and(f2,i1)) = or(i2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,f2)),or(i2,f1)) ),[0],$fot(not(and(f2,i1)))]]) ).
cnf(refute_0_640,plain,
( not(and(i1,f2)) != or(i2,f1)
| not(and(f2,i1)) = or(i2,f1) ),
inference(resolve,[$cnf( $equal(not(and(i1,f2)),not(and(f2,i1))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
or(i2,f1) = or(f1,i2),
inference(subst,[],[refute_0_37:[bind(X,$fot(f1)),bind(Y,$fot(i2))]]) ).
cnf(refute_0_642,plain,
( not(and(f2,i1)) != or(i2,f1)
| or(i2,f1) != or(f1,i2)
| not(and(f2,i1)) = or(f1,i2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f2,i1)),or(f1,i2)) ),[0],$fot(or(i2,f1))]]) ).
cnf(refute_0_643,plain,
( not(and(f2,i1)) != or(i2,f1)
| not(and(f2,i1)) = or(f1,i2) ),
inference(resolve,[$cnf( $equal(or(i2,f1),or(f1,i2)) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
( not(and(i1,f2)) != or(i2,f1)
| not(and(f2,i1)) = or(f1,i2) ),
inference(resolve,[$cnf( $equal(not(and(f2,i1)),or(i2,f1)) )],[refute_0_640,refute_0_643]) ).
cnf(refute_0_645,plain,
not(and(f2,i1)) = or(f1,i2),
inference(resolve,[$cnf( $equal(not(and(i1,f2)),or(i2,f1)) )],[refute_0_622,refute_0_644]) ).
cnf(refute_0_646,plain,
( not(and(f2,i1)) != or(f1,i2)
| not(not(and(f2,i1))) != and(f2,i1)
| not(or(f1,i2)) = and(f2,i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(f2,i1))),and(f2,i1)) ),[0,0],$fot(or(f1,i2))]]) ).
cnf(refute_0_647,plain,
( not(not(and(f2,i1))) != and(f2,i1)
| not(or(f1,i2)) = and(f2,i1) ),
inference(resolve,[$cnf( $equal(not(and(f2,i1)),or(f1,i2)) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
not(or(f1,i2)) = and(f2,i1),
inference(resolve,[$cnf( $equal(not(not(and(f2,i1))),and(f2,i1)) )],[refute_0_618,refute_0_647]) ).
cnf(refute_0_649,plain,
and(f2,i1) = and(f2,i1),
introduced(tautology,[refl,[$fot(and(f2,i1))]]) ).
cnf(refute_0_650,plain,
( and(f2,i1) != and(f2,i1)
| i1 != c1
| and(f2,i1) = and(f2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,i1),and(f2,i1)) ),[1,1],$fot(c1)]]) ).
cnf(refute_0_651,plain,
( i1 != c1
| and(f2,i1) = and(f2,c1) ),
inference(resolve,[$cnf( $equal(and(f2,i1),and(f2,i1)) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
and(f2,i1) = and(f2,c1),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_651]) ).
cnf(refute_0_653,plain,
( and(f2,c1) != and(c1,f2)
| and(f2,i1) != and(f2,c1)
| and(f2,i1) = and(c1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f2,i1))),bind(Y0,$fot(and(f2,c1))),bind(Z0,$fot(and(c1,f2)))]]) ).
cnf(refute_0_654,plain,
( and(f2,c1) != and(c1,f2)
| and(f2,i1) = and(c1,f2) ),
inference(resolve,[$cnf( $equal(and(f2,i1),and(f2,c1)) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
and(f2,i1) = and(c1,f2),
inference(resolve,[$cnf( $equal(and(f2,c1),and(c1,f2)) )],[refute_0_599,refute_0_654]) ).
cnf(refute_0_656,plain,
( and(f2,i1) != and(c1,f2)
| not(or(f1,i2)) != and(f2,i1)
| not(or(f1,i2)) = and(c1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(f1,i2)),and(f2,i1)) ),[1],$fot(and(c1,f2))]]) ).
cnf(refute_0_657,plain,
( not(or(f1,i2)) != and(f2,i1)
| not(or(f1,i2)) = and(c1,f2) ),
inference(resolve,[$cnf( $equal(and(f2,i1),and(c1,f2)) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
not(or(f1,i2)) = and(c1,f2),
inference(resolve,[$cnf( $equal(not(or(f1,i2)),and(f2,i1)) )],[refute_0_648,refute_0_657]) ).
cnf(refute_0_659,plain,
or(f1,c2) = or(c2,f1),
inference(subst,[],[refute_0_37:[bind(X,$fot(c2)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_660,plain,
or(f1,i2) = or(f1,i2),
introduced(tautology,[refl,[$fot(or(f1,i2))]]) ).
cnf(refute_0_661,plain,
( i2 != c2
| or(f1,i2) != or(f1,i2)
| or(f1,i2) = or(f1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,i2),or(f1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_662,plain,
( i2 != c2
| or(f1,i2) = or(f1,c2) ),
inference(resolve,[$cnf( $equal(or(f1,i2),or(f1,i2)) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
or(f1,i2) = or(f1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_662]) ).
cnf(refute_0_664,plain,
( or(f1,c2) != or(c2,f1)
| or(f1,i2) != or(f1,c2)
| or(f1,i2) = or(c2,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,i2))),bind(Y0,$fot(or(f1,c2))),bind(Z0,$fot(or(c2,f1)))]]) ).
cnf(refute_0_665,plain,
( or(f1,c2) != or(c2,f1)
| or(f1,i2) = or(c2,f1) ),
inference(resolve,[$cnf( $equal(or(f1,i2),or(f1,c2)) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
or(f1,i2) = or(c2,f1),
inference(resolve,[$cnf( $equal(or(f1,c2),or(c2,f1)) )],[refute_0_659,refute_0_665]) ).
cnf(refute_0_667,plain,
not(or(f1,i2)) = not(or(f1,i2)),
introduced(tautology,[refl,[$fot(not(or(f1,i2)))]]) ).
cnf(refute_0_668,plain,
( not(or(f1,i2)) != not(or(f1,i2))
| or(f1,i2) != or(c2,f1)
| not(or(f1,i2)) = not(or(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(f1,i2)),not(or(f1,i2))) ),[1,0],$fot(or(c2,f1))]]) ).
cnf(refute_0_669,plain,
( or(f1,i2) != or(c2,f1)
| not(or(f1,i2)) = not(or(c2,f1)) ),
inference(resolve,[$cnf( $equal(not(or(f1,i2)),not(or(f1,i2))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
not(or(f1,i2)) = not(or(c2,f1)),
inference(resolve,[$cnf( $equal(or(f1,i2),or(c2,f1)) )],[refute_0_666,refute_0_669]) ).
cnf(refute_0_671,plain,
( not(or(f1,i2)) != and(c1,f2)
| not(or(f1,i2)) != not(or(c2,f1))
| not(or(c2,f1)) = and(c1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(f1,i2)),and(c1,f2)) ),[0],$fot(not(or(c2,f1)))]]) ).
cnf(refute_0_672,plain,
( not(or(f1,i2)) != and(c1,f2)
| not(or(c2,f1)) = and(c1,f2) ),
inference(resolve,[$cnf( $equal(not(or(f1,i2)),not(or(c2,f1))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
not(or(c2,f1)) = and(c1,f2),
inference(resolve,[$cnf( $equal(not(or(f1,i2)),and(c1,f2)) )],[refute_0_658,refute_0_672]) ).
cnf(refute_0_674,plain,
( not(and(X,or(c2,f1))) != or(not(X),not(or(c2,f1)))
| not(or(c2,f1)) != and(c1,f2)
| not(and(X,or(c2,f1))) = or(not(X),and(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(c2,f1))),or(not(X),not(or(c2,f1)))) ),[1,1],$fot(and(c1,f2))]]) ).
cnf(refute_0_675,plain,
( not(and(X,or(c2,f1))) != or(not(X),not(or(c2,f1)))
| not(and(X,or(c2,f1))) = or(not(X),and(c1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(c2,f1)),and(c1,f2)) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
not(and(X,or(c2,f1))) = or(not(X),and(c1,f2)),
inference(resolve,[$cnf( $equal(not(and(X,or(c2,f1))),or(not(X),not(or(c2,f1)))) )],[refute_0_617,refute_0_675]) ).
cnf(refute_0_677,plain,
( not(and(X,or(c2,f1))) != or(not(X),and(c1,f2))
| or(not(X),and(c1,f2)) = not(and(X,or(c2,f1))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X,or(c2,f1))))),bind(Y0,$fot(or(not(X),and(c1,f2))))]]) ).
cnf(refute_0_678,plain,
or(not(X),and(c1,f2)) = not(and(X,or(c2,f1))),
inference(resolve,[$cnf( $equal(not(and(X,or(c2,f1))),or(not(X),and(c1,f2))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
or(not(b3),and(c1,f2)) = not(and(b3,or(c2,f1))),
inference(subst,[],[refute_0_678:[bind(X,$fot(b3))]]) ).
cnf(refute_0_680,plain,
( or(not(b3),and(c1,f2)) != f2
| or(not(b3),and(c1,f2)) != not(and(b3,or(c2,f1)))
| not(and(b3,or(c2,f1))) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(b3),and(c1,f2)),f2) ),[0],$fot(not(and(b3,or(c2,f1))))]]) ).
cnf(refute_0_681,plain,
( or(not(b3),and(c1,f2)) != f2
| not(and(b3,or(c2,f1))) = f2 ),
inference(resolve,[$cnf( $equal(or(not(b3),and(c1,f2)),not(and(b3,or(c2,f1)))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
not(and(b3,or(c2,f1))) = f2,
inference(resolve,[$cnf( $equal(or(not(b3),and(c1,f2)),f2) )],[refute_0_616,refute_0_681]) ).
cnf(refute_0_683,plain,
( not(and(b3,or(c2,f1))) != f2
| not(not(and(b3,or(c2,f1)))) != and(b3,or(c2,f1))
| not(f2) = and(b3,or(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b3,or(c2,f1)))),and(b3,or(c2,f1))) ),[0,0],$fot(f2)]]) ).
cnf(refute_0_684,plain,
( not(not(and(b3,or(c2,f1)))) != and(b3,or(c2,f1))
| not(f2) = and(b3,or(c2,f1)) ),
inference(resolve,[$cnf( $equal(not(and(b3,or(c2,f1))),f2) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
not(f2) = and(b3,or(c2,f1)),
inference(resolve,[$cnf( $equal(not(not(and(b3,or(c2,f1)))),and(b3,or(c2,f1))) )],[refute_0_545,refute_0_684]) ).
cnf(refute_0_686,plain,
( i2 != c2
| not(f2) != i2
| not(f2) = c2 ),
introduced(tautology,[equality,[$cnf( $equal(not(f2),i2) ),[1],$fot(c2)]]) ).
cnf(refute_0_687,plain,
( not(f2) != i2
| not(f2) = c2 ),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_686]) ).
cnf(refute_0_688,plain,
not(f2) = c2,
inference(resolve,[$cnf( $equal(not(f2),i2) )],[refute_0_442,refute_0_687]) ).
cnf(refute_0_689,plain,
( not(f2) != and(b3,or(c2,f1))
| not(f2) != c2
| c2 = and(b3,or(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(f2),and(b3,or(c2,f1))) ),[0],$fot(c2)]]) ).
cnf(refute_0_690,plain,
( not(f2) != and(b3,or(c2,f1))
| c2 = and(b3,or(c2,f1)) ),
inference(resolve,[$cnf( $equal(not(f2),c2) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
c2 = and(b3,or(c2,f1)),
inference(resolve,[$cnf( $equal(not(f2),and(b3,or(c2,f1))) )],[refute_0_685,refute_0_690]) ).
cnf(refute_0_692,plain,
( a1 != and(b1,b3)
| and(b1,b3) = a1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(a1)),bind(Y0,$fot(and(b1,b3)))]]) ).
cnf(refute_0_693,plain,
and(b1,b3) = a1,
inference(resolve,[$cnf( $equal(a1,and(b1,b3)) )],[constructor1,refute_0_692]) ).
cnf(refute_0_694,plain,
and(b3,b1) = and(b1,b3),
inference(subst,[],[refute_0_129:[bind(X,$fot(b1)),bind(Y,$fot(b3))]]) ).
cnf(refute_0_695,plain,
( and(b1,b3) != a1
| and(b3,b1) != and(b1,b3)
| and(b3,b1) = a1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b3,b1))),bind(Y0,$fot(and(b1,b3))),bind(Z0,$fot(a1))]]) ).
cnf(refute_0_696,plain,
( and(b1,b3) != a1
| and(b3,b1) = a1 ),
inference(resolve,[$cnf( $equal(and(b3,b1),and(b1,b3)) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
and(b3,b1) = a1,
inference(resolve,[$cnf( $equal(and(b1,b3),a1) )],[refute_0_693,refute_0_696]) ).
cnf(refute_0_698,plain,
not(and(f2,i1)) = not(and(f2,i1)),
introduced(tautology,[refl,[$fot(not(and(f2,i1)))]]) ).
cnf(refute_0_699,plain,
( and(f2,i1) != and(c1,f2)
| not(and(f2,i1)) != not(and(f2,i1))
| not(and(f2,i1)) = not(and(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,i1)),not(and(f2,i1))) ),[1,0],$fot(and(c1,f2))]]) ).
cnf(refute_0_700,plain,
( and(f2,i1) != and(c1,f2)
| not(and(f2,i1)) = not(and(c1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(f2,i1)),not(and(f2,i1))) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
not(and(f2,i1)) = not(and(c1,f2)),
inference(resolve,[$cnf( $equal(and(f2,i1),and(c1,f2)) )],[refute_0_655,refute_0_700]) ).
cnf(refute_0_702,plain,
( not(and(f2,i1)) != not(and(c1,f2))
| not(and(f2,i1)) != or(f1,i2)
| not(and(c1,f2)) = or(f1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,i1)),or(f1,i2)) ),[0],$fot(not(and(c1,f2)))]]) ).
cnf(refute_0_703,plain,
( not(and(f2,i1)) != or(f1,i2)
| not(and(c1,f2)) = or(f1,i2) ),
inference(resolve,[$cnf( $equal(not(and(f2,i1)),not(and(c1,f2))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
not(and(c1,f2)) = or(f1,i2),
inference(resolve,[$cnf( $equal(not(and(f2,i1)),or(f1,i2)) )],[refute_0_645,refute_0_703]) ).
cnf(refute_0_705,plain,
( not(and(c1,f2)) != or(f1,i2)
| or(f1,i2) != or(c2,f1)
| not(and(c1,f2)) = or(c2,f1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(c1,f2)),or(c2,f1)) ),[0],$fot(or(f1,i2))]]) ).
cnf(refute_0_706,plain,
( not(and(c1,f2)) != or(f1,i2)
| not(and(c1,f2)) = or(c2,f1) ),
inference(resolve,[$cnf( $equal(or(f1,i2),or(c2,f1)) )],[refute_0_666,refute_0_705]) ).
cnf(refute_0_707,plain,
not(and(c1,f2)) = or(c2,f1),
inference(resolve,[$cnf( $equal(not(and(c1,f2)),or(f1,i2)) )],[refute_0_704,refute_0_706]) ).
cnf(refute_0_708,plain,
or(and(c2,or(b1,c2)),and(or(b1,c2),not(c2))) = or(b1,c2),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(c2)),bind(Y,$fot(or(b1,c2)))]]) ).
cnf(refute_0_709,plain,
not(not(and(c2,or(b1,c2)))) = and(c2,or(b1,c2)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(c2,or(b1,c2))))]]) ).
cnf(refute_0_710,plain,
not(and(or(b1,i2),i2)) = or(f2,not(or(b1,i2))),
inference(subst,[],[refute_0_431:[bind(X_109,$fot(or(b1,i2)))]]) ).
cnf(refute_0_711,plain,
not(not(and(d1,f2))) = and(d1,f2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(d1,f2)))]]) ).
cnf(refute_0_712,plain,
not(and(f2,d1)) = or(b1,not(f2)),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(f2))]]) ).
cnf(refute_0_713,plain,
( not(and(f2,d1)) != or(b1,not(f2))
| not(f2) != i2
| not(and(f2,d1)) = or(b1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,d1)),or(b1,not(f2))) ),[1,1],$fot(i2)]]) ).
cnf(refute_0_714,plain,
( not(and(f2,d1)) != or(b1,not(f2))
| not(and(f2,d1)) = or(b1,i2) ),
inference(resolve,[$cnf( $equal(not(f2),i2) )],[refute_0_442,refute_0_713]) ).
cnf(refute_0_715,plain,
not(and(f2,d1)) = or(b1,i2),
inference(resolve,[$cnf( $equal(not(and(f2,d1)),or(b1,not(f2))) )],[refute_0_712,refute_0_714]) ).
cnf(refute_0_716,plain,
not(and(f2,d1)) = not(and(d1,f2)),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(f2))]]) ).
cnf(refute_0_717,plain,
( not(and(f2,d1)) != not(and(d1,f2))
| not(and(f2,d1)) != or(b1,i2)
| not(and(d1,f2)) = or(b1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,d1)),or(b1,i2)) ),[0],$fot(not(and(d1,f2)))]]) ).
cnf(refute_0_718,plain,
( not(and(f2,d1)) != or(b1,i2)
| not(and(d1,f2)) = or(b1,i2) ),
inference(resolve,[$cnf( $equal(not(and(f2,d1)),not(and(d1,f2))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
not(and(d1,f2)) = or(b1,i2),
inference(resolve,[$cnf( $equal(not(and(f2,d1)),or(b1,i2)) )],[refute_0_715,refute_0_718]) ).
cnf(refute_0_720,plain,
( not(and(d1,f2)) != or(b1,i2)
| not(not(and(d1,f2))) != and(d1,f2)
| not(or(b1,i2)) = and(d1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(d1,f2))),and(d1,f2)) ),[0,0],$fot(or(b1,i2))]]) ).
cnf(refute_0_721,plain,
( not(not(and(d1,f2))) != and(d1,f2)
| not(or(b1,i2)) = and(d1,f2) ),
inference(resolve,[$cnf( $equal(not(and(d1,f2)),or(b1,i2)) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
not(or(b1,i2)) = and(d1,f2),
inference(resolve,[$cnf( $equal(not(not(and(d1,f2))),and(d1,f2)) )],[refute_0_711,refute_0_721]) ).
cnf(refute_0_723,plain,
( not(and(or(b1,i2),i2)) != or(f2,not(or(b1,i2)))
| not(or(b1,i2)) != and(d1,f2)
| not(and(or(b1,i2),i2)) = or(f2,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,i2),i2)),or(f2,not(or(b1,i2)))) ),[1,1],$fot(and(d1,f2))]]) ).
cnf(refute_0_724,plain,
( not(and(or(b1,i2),i2)) != or(f2,not(or(b1,i2)))
| not(and(or(b1,i2),i2)) = or(f2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,i2)),and(d1,f2)) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
not(and(or(b1,i2),i2)) = or(f2,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),i2)),or(f2,not(or(b1,i2)))) )],[refute_0_710,refute_0_724]) ).
cnf(refute_0_726,plain,
not(and(X_115,i2)) = or(f2,not(X_115)),
inference(subst,[],[refute_0_431:[bind(X_109,$fot(X_115))]]) ).
cnf(refute_0_727,plain,
and(i2,X_115) = and(X_115,i2),
inference(subst,[],[and_commutativity:[bind(X,$fot(i2)),bind(Y,$fot(X_115))]]) ).
cnf(refute_0_728,plain,
( and(i2,X_115) != and(X_115,i2)
| and(X_115,i2) = and(i2,X_115) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(i2,X_115))),bind(Y0,$fot(and(X_115,i2)))]]) ).
cnf(refute_0_729,plain,
and(X_115,i2) = and(i2,X_115),
inference(resolve,[$cnf( $equal(and(i2,X_115),and(X_115,i2)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
( and(X_115,i2) != and(i2,X_115)
| not(and(X_115,i2)) != or(f2,not(X_115))
| not(and(i2,X_115)) = or(f2,not(X_115)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_115,i2)),or(f2,not(X_115))) ),[0,0],$fot(and(i2,X_115))]]) ).
cnf(refute_0_731,plain,
( not(and(X_115,i2)) != or(f2,not(X_115))
| not(and(i2,X_115)) = or(f2,not(X_115)) ),
inference(resolve,[$cnf( $equal(and(X_115,i2),and(i2,X_115)) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
not(and(i2,X_115)) = or(f2,not(X_115)),
inference(resolve,[$cnf( $equal(not(and(X_115,i2)),or(f2,not(X_115))) )],[refute_0_726,refute_0_731]) ).
cnf(refute_0_733,plain,
( not(and(X_109,i2)) != or(f2,not(X_109))
| or(f2,not(X_109)) = not(and(X_109,i2)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,i2)))),bind(Y0,$fot(or(f2,not(X_109))))]]) ).
cnf(refute_0_734,plain,
or(f2,not(X_109)) = not(and(X_109,i2)),
inference(resolve,[$cnf( $equal(not(and(X_109,i2)),or(f2,not(X_109))) )],[refute_0_431,refute_0_733]) ).
cnf(refute_0_735,plain,
or(f2,not(X_115)) = not(and(X_115,i2)),
inference(subst,[],[refute_0_734:[bind(X_109,$fot(X_115))]]) ).
cnf(refute_0_736,plain,
( not(and(i2,X_115)) != or(f2,not(X_115))
| or(f2,not(X_115)) != not(and(X_115,i2))
| not(and(i2,X_115)) = not(and(X_115,i2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(i2,X_115)),not(and(X_115,i2))) ),[0],$fot(or(f2,not(X_115)))]]) ).
cnf(refute_0_737,plain,
( not(and(i2,X_115)) != or(f2,not(X_115))
| not(and(i2,X_115)) = not(and(X_115,i2)) ),
inference(resolve,[$cnf( $equal(or(f2,not(X_115)),not(and(X_115,i2))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
not(and(i2,X_115)) = not(and(X_115,i2)),
inference(resolve,[$cnf( $equal(not(and(i2,X_115)),or(f2,not(X_115))) )],[refute_0_732,refute_0_737]) ).
cnf(refute_0_739,plain,
( not(and(i2,X_115)) != not(and(X_115,i2))
| not(and(X_115,i2)) = not(and(i2,X_115)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(i2,X_115)))),bind(Y0,$fot(not(and(X_115,i2))))]]) ).
cnf(refute_0_740,plain,
not(and(X_115,i2)) = not(and(i2,X_115)),
inference(resolve,[$cnf( $equal(not(and(i2,X_115)),not(and(X_115,i2))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
not(and(or(b1,i2),i2)) = not(and(i2,or(b1,i2))),
inference(subst,[],[refute_0_740:[bind(X_115,$fot(or(b1,i2)))]]) ).
cnf(refute_0_742,plain,
( not(and(or(b1,i2),i2)) != not(and(i2,or(b1,i2)))
| not(and(or(b1,i2),i2)) != or(f2,and(d1,f2))
| not(and(i2,or(b1,i2))) = or(f2,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,i2),i2)),or(f2,and(d1,f2))) ),[0],$fot(not(and(i2,or(b1,i2))))]]) ).
cnf(refute_0_743,plain,
( not(and(or(b1,i2),i2)) != or(f2,and(d1,f2))
| not(and(i2,or(b1,i2))) = or(f2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),i2)),not(and(i2,or(b1,i2)))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
or(and(d1,X_19),or(and(X_19,b1),and(d1,X_19))) = or(and(d1,X_19),and(X_19,b1)),
inference(subst,[],[refute_0_345:[bind(X,$fot(and(d1,X_19))),bind(Y,$fot(and(X_19,b1)))]]) ).
cnf(refute_0_745,plain,
or(and(X_19,b1),and(d1,X_19)) = or(and(d1,X_19),and(X_19,b1)),
inference(subst,[],[or_commutativity:[bind(X,$fot(and(X_19,b1))),bind(Y,$fot(and(d1,X_19)))]]) ).
cnf(refute_0_746,plain,
or(and(d1,X_14),and(X_14,not(d1))) = X_14,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d1)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_747,plain,
( not(d1) != b1
| or(and(d1,X_14),and(X_14,not(d1))) != X_14
| or(and(d1,X_14),and(X_14,b1)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,X_14),and(X_14,not(d1))),X_14) ),[0,1,1],$fot(b1)]]) ).
cnf(refute_0_748,plain,
( or(and(d1,X_14),and(X_14,not(d1))) != X_14
| or(and(d1,X_14),and(X_14,b1)) = X_14 ),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_747]) ).
cnf(refute_0_749,plain,
or(and(d1,X_14),and(X_14,b1)) = X_14,
inference(resolve,[$cnf( $equal(or(and(d1,X_14),and(X_14,not(d1))),X_14) )],[refute_0_746,refute_0_748]) ).
cnf(refute_0_750,plain,
or(and(d1,X_19),and(X_19,b1)) = X_19,
inference(subst,[],[refute_0_749:[bind(X_14,$fot(X_19))]]) ).
cnf(refute_0_751,plain,
( or(and(X_19,b1),and(d1,X_19)) != or(and(d1,X_19),and(X_19,b1))
| or(and(d1,X_19),and(X_19,b1)) != X_19
| or(and(X_19,b1),and(d1,X_19)) = X_19 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X_19,b1),and(d1,X_19)),X_19) ),[0],$fot(or(and(d1,X_19),and(X_19,b1)))]]) ).
cnf(refute_0_752,plain,
( or(and(X_19,b1),and(d1,X_19)) != or(and(d1,X_19),and(X_19,b1))
| or(and(X_19,b1),and(d1,X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(or(and(d1,X_19),and(X_19,b1)),X_19) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
or(and(X_19,b1),and(d1,X_19)) = X_19,
inference(resolve,[$cnf( $equal(or(and(X_19,b1),and(d1,X_19)),or(and(d1,X_19),and(X_19,b1))) )],[refute_0_745,refute_0_752]) ).
cnf(refute_0_754,plain,
( or(and(X_19,b1),and(d1,X_19)) != X_19
| or(and(d1,X_19),or(and(X_19,b1),and(d1,X_19))) != or(and(d1,X_19),and(X_19,b1))
| or(and(d1,X_19),X_19) = or(and(d1,X_19),and(X_19,b1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,X_19),or(and(X_19,b1),and(d1,X_19))),or(and(d1,X_19),and(X_19,b1))) ),[0,1],$fot(X_19)]]) ).
cnf(refute_0_755,plain,
( or(and(d1,X_19),or(and(X_19,b1),and(d1,X_19))) != or(and(d1,X_19),and(X_19,b1))
| or(and(d1,X_19),X_19) = or(and(d1,X_19),and(X_19,b1)) ),
inference(resolve,[$cnf( $equal(or(and(X_19,b1),and(d1,X_19)),X_19) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
or(and(d1,X_19),X_19) = or(and(d1,X_19),and(X_19,b1)),
inference(resolve,[$cnf( $equal(or(and(d1,X_19),or(and(X_19,b1),and(d1,X_19))),or(and(d1,X_19),and(X_19,b1))) )],[refute_0_744,refute_0_755]) ).
cnf(refute_0_757,plain,
or(and(d1,X_19),X_19) = or(X_19,and(d1,X_19)),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_19)),bind(Y,$fot(and(d1,X_19)))]]) ).
cnf(refute_0_758,plain,
( or(and(d1,X_19),X_19) != or(X_19,and(d1,X_19))
| or(and(d1,X_19),X_19) != or(and(d1,X_19),and(X_19,b1))
| or(X_19,and(d1,X_19)) = or(and(d1,X_19),and(X_19,b1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,X_19),X_19),or(and(d1,X_19),and(X_19,b1))) ),[0],$fot(or(X_19,and(d1,X_19)))]]) ).
cnf(refute_0_759,plain,
( or(and(d1,X_19),X_19) != or(and(d1,X_19),and(X_19,b1))
| or(X_19,and(d1,X_19)) = or(and(d1,X_19),and(X_19,b1)) ),
inference(resolve,[$cnf( $equal(or(and(d1,X_19),X_19),or(X_19,and(d1,X_19))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
( or(X_19,and(d1,X_19)) != or(and(d1,X_19),and(X_19,b1))
| or(and(d1,X_19),and(X_19,b1)) != X_19
| or(X_19,and(d1,X_19)) = X_19 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X_19,and(d1,X_19)),X_19) ),[0],$fot(or(and(d1,X_19),and(X_19,b1)))]]) ).
cnf(refute_0_761,plain,
( or(X_19,and(d1,X_19)) != or(and(d1,X_19),and(X_19,b1))
| or(X_19,and(d1,X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(or(and(d1,X_19),and(X_19,b1)),X_19) )],[refute_0_750,refute_0_760]) ).
cnf(refute_0_762,plain,
( or(and(d1,X_19),X_19) != or(and(d1,X_19),and(X_19,b1))
| or(X_19,and(d1,X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(or(X_19,and(d1,X_19)),or(and(d1,X_19),and(X_19,b1))) )],[refute_0_759,refute_0_761]) ).
cnf(refute_0_763,plain,
or(X_19,and(d1,X_19)) = X_19,
inference(resolve,[$cnf( $equal(or(and(d1,X_19),X_19),or(and(d1,X_19),and(X_19,b1))) )],[refute_0_756,refute_0_762]) ).
cnf(refute_0_764,plain,
or(f2,and(d1,f2)) = f2,
inference(subst,[],[refute_0_763:[bind(X_19,$fot(f2))]]) ).
cnf(refute_0_765,plain,
( not(and(i2,or(b1,i2))) != or(f2,and(d1,f2))
| or(f2,and(d1,f2)) != f2
| not(and(i2,or(b1,i2))) = f2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(i2,or(b1,i2))),f2) ),[0],$fot(or(f2,and(d1,f2)))]]) ).
cnf(refute_0_766,plain,
( not(and(i2,or(b1,i2))) != or(f2,and(d1,f2))
| not(and(i2,or(b1,i2))) = f2 ),
inference(resolve,[$cnf( $equal(or(f2,and(d1,f2)),f2) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
( not(and(or(b1,i2),i2)) != or(f2,and(d1,f2))
| not(and(i2,or(b1,i2))) = f2 ),
inference(resolve,[$cnf( $equal(not(and(i2,or(b1,i2))),or(f2,and(d1,f2))) )],[refute_0_743,refute_0_766]) ).
cnf(refute_0_768,plain,
not(and(i2,or(b1,i2))) = f2,
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),i2)),or(f2,and(d1,f2))) )],[refute_0_725,refute_0_767]) ).
cnf(refute_0_769,plain,
or(b1,i2) = or(b1,i2),
introduced(tautology,[refl,[$fot(or(b1,i2))]]) ).
cnf(refute_0_770,plain,
( i2 != c2
| or(b1,i2) != or(b1,i2)
| or(b1,i2) = or(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(b1,i2),or(b1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_771,plain,
( i2 != c2
| or(b1,i2) = or(b1,c2) ),
inference(resolve,[$cnf( $equal(or(b1,i2),or(b1,i2)) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
or(b1,i2) = or(b1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_771]) ).
cnf(refute_0_773,plain,
and(c2,or(b1,i2)) = and(c2,or(b1,i2)),
introduced(tautology,[refl,[$fot(and(c2,or(b1,i2)))]]) ).
cnf(refute_0_774,plain,
( and(c2,or(b1,i2)) != and(c2,or(b1,i2))
| or(b1,i2) != or(b1,c2)
| and(c2,or(b1,i2)) = and(c2,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,or(b1,i2)),and(c2,or(b1,i2))) ),[1,1],$fot(or(b1,c2))]]) ).
cnf(refute_0_775,plain,
( or(b1,i2) != or(b1,c2)
| and(c2,or(b1,i2)) = and(c2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(c2,or(b1,i2)),and(c2,or(b1,i2))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
and(c2,or(b1,i2)) = and(c2,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(b1,i2),or(b1,c2)) )],[refute_0_772,refute_0_775]) ).
cnf(refute_0_777,plain,
and(i2,or(b1,i2)) = and(i2,or(b1,i2)),
introduced(tautology,[refl,[$fot(and(i2,or(b1,i2)))]]) ).
cnf(refute_0_778,plain,
( and(i2,or(b1,i2)) != and(i2,or(b1,i2))
| i2 != c2
| and(i2,or(b1,i2)) = and(c2,or(b1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i2,or(b1,i2)),and(i2,or(b1,i2))) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_779,plain,
( i2 != c2
| and(i2,or(b1,i2)) = and(c2,or(b1,i2)) ),
inference(resolve,[$cnf( $equal(and(i2,or(b1,i2)),and(i2,or(b1,i2))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
and(i2,or(b1,i2)) = and(c2,or(b1,i2)),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_779]) ).
cnf(refute_0_781,plain,
( and(c2,or(b1,i2)) != and(c2,or(b1,c2))
| and(i2,or(b1,i2)) != and(c2,or(b1,i2))
| and(i2,or(b1,i2)) = and(c2,or(b1,c2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i2,or(b1,i2)))),bind(Y0,$fot(and(c2,or(b1,i2)))),bind(Z0,$fot(and(c2,or(b1,c2))))]]) ).
cnf(refute_0_782,plain,
( and(c2,or(b1,i2)) != and(c2,or(b1,c2))
| and(i2,or(b1,i2)) = and(c2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(i2,or(b1,i2)),and(c2,or(b1,i2))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
and(i2,or(b1,i2)) = and(c2,or(b1,c2)),
inference(resolve,[$cnf( $equal(and(c2,or(b1,i2)),and(c2,or(b1,c2))) )],[refute_0_776,refute_0_782]) ).
cnf(refute_0_784,plain,
not(and(i2,or(b1,i2))) = not(and(i2,or(b1,i2))),
introduced(tautology,[refl,[$fot(not(and(i2,or(b1,i2))))]]) ).
cnf(refute_0_785,plain,
( and(i2,or(b1,i2)) != and(c2,or(b1,c2))
| not(and(i2,or(b1,i2))) != not(and(i2,or(b1,i2)))
| not(and(i2,or(b1,i2))) = not(and(c2,or(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i2,or(b1,i2))),not(and(i2,or(b1,i2)))) ),[1,0],$fot(and(c2,or(b1,c2)))]]) ).
cnf(refute_0_786,plain,
( and(i2,or(b1,i2)) != and(c2,or(b1,c2))
| not(and(i2,or(b1,i2))) = not(and(c2,or(b1,c2))) ),
inference(resolve,[$cnf( $equal(not(and(i2,or(b1,i2))),not(and(i2,or(b1,i2)))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
not(and(i2,or(b1,i2))) = not(and(c2,or(b1,c2))),
inference(resolve,[$cnf( $equal(and(i2,or(b1,i2)),and(c2,or(b1,c2))) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
( not(and(i2,or(b1,i2))) != f2
| not(and(i2,or(b1,i2))) != not(and(c2,or(b1,c2)))
| not(and(c2,or(b1,c2))) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i2,or(b1,i2))),f2) ),[0],$fot(not(and(c2,or(b1,c2))))]]) ).
cnf(refute_0_789,plain,
( not(and(i2,or(b1,i2))) != f2
| not(and(c2,or(b1,c2))) = f2 ),
inference(resolve,[$cnf( $equal(not(and(i2,or(b1,i2))),not(and(c2,or(b1,c2)))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
not(and(c2,or(b1,c2))) = f2,
inference(resolve,[$cnf( $equal(not(and(i2,or(b1,i2))),f2) )],[refute_0_768,refute_0_789]) ).
cnf(refute_0_791,plain,
( not(and(c2,or(b1,c2))) != f2
| not(not(and(c2,or(b1,c2)))) != and(c2,or(b1,c2))
| not(f2) = and(c2,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(c2,or(b1,c2)))),and(c2,or(b1,c2))) ),[0,0],$fot(f2)]]) ).
cnf(refute_0_792,plain,
( not(not(and(c2,or(b1,c2)))) != and(c2,or(b1,c2))
| not(f2) = and(c2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(and(c2,or(b1,c2))),f2) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
not(f2) = and(c2,or(b1,c2)),
inference(resolve,[$cnf( $equal(not(not(and(c2,or(b1,c2)))),and(c2,or(b1,c2))) )],[refute_0_709,refute_0_792]) ).
cnf(refute_0_794,plain,
( not(f2) != and(c2,or(b1,c2))
| not(f2) != c2
| c2 = and(c2,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(f2),and(c2,or(b1,c2))) ),[0],$fot(c2)]]) ).
cnf(refute_0_795,plain,
( not(f2) != and(c2,or(b1,c2))
| c2 = and(c2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(f2),c2) )],[refute_0_688,refute_0_794]) ).
cnf(refute_0_796,plain,
c2 = and(c2,or(b1,c2)),
inference(resolve,[$cnf( $equal(not(f2),and(c2,or(b1,c2))) )],[refute_0_793,refute_0_795]) ).
cnf(refute_0_797,plain,
( c2 != and(c2,or(b1,c2))
| and(c2,or(b1,c2)) = c2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c2)),bind(Y0,$fot(and(c2,or(b1,c2))))]]) ).
cnf(refute_0_798,plain,
and(c2,or(b1,c2)) = c2,
inference(resolve,[$cnf( $equal(c2,and(c2,or(b1,c2))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
( and(c2,or(b1,c2)) != c2
| or(and(c2,or(b1,c2)),and(or(b1,c2),not(c2))) != or(b1,c2)
| or(c2,and(or(b1,c2),not(c2))) = or(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c2,or(b1,c2)),and(or(b1,c2),not(c2))),or(b1,c2)) ),[0,0],$fot(c2)]]) ).
cnf(refute_0_800,plain,
( or(and(c2,or(b1,c2)),and(or(b1,c2),not(c2))) != or(b1,c2)
| or(c2,and(or(b1,c2),not(c2))) = or(b1,c2) ),
inference(resolve,[$cnf( $equal(and(c2,or(b1,c2)),c2) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
or(c2,and(or(b1,c2),not(c2))) = or(b1,c2),
inference(resolve,[$cnf( $equal(or(and(c2,or(b1,c2)),and(or(b1,c2),not(c2))),or(b1,c2)) )],[refute_0_708,refute_0_800]) ).
cnf(refute_0_802,plain,
not(i2) = not(i2),
introduced(tautology,[refl,[$fot(not(i2))]]) ).
cnf(refute_0_803,plain,
( i2 != c2
| not(i2) != not(i2)
| not(i2) = not(c2) ),
introduced(tautology,[equality,[$cnf( $equal(not(i2),not(i2)) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_804,plain,
( i2 != c2
| not(i2) = not(c2) ),
inference(resolve,[$cnf( $equal(not(i2),not(i2)) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
not(i2) = not(c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_804]) ).
cnf(refute_0_806,plain,
( f2 != not(i2)
| not(i2) != not(c2)
| f2 = not(c2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(f2,not(c2)) ),[0],$fot(not(i2))]]) ).
cnf(refute_0_807,plain,
( f2 != not(i2)
| f2 = not(c2) ),
inference(resolve,[$cnf( $equal(not(i2),not(c2)) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
f2 = not(c2),
inference(resolve,[$cnf( $equal(f2,not(i2)) )],[constructor14,refute_0_807]) ).
cnf(refute_0_809,plain,
( f2 != not(c2)
| not(c2) = f2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(f2)),bind(Y0,$fot(not(c2)))]]) ).
cnf(refute_0_810,plain,
not(c2) = f2,
inference(resolve,[$cnf( $equal(f2,not(c2)) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
and(not(c2),or(b1,c2)) = and(not(c2),or(b1,c2)),
introduced(tautology,[refl,[$fot(and(not(c2),or(b1,c2)))]]) ).
cnf(refute_0_812,plain,
( and(not(c2),or(b1,c2)) != and(not(c2),or(b1,c2))
| not(c2) != f2
| and(not(c2),or(b1,c2)) = and(f2,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(c2),or(b1,c2)),and(not(c2),or(b1,c2))) ),[1,0],$fot(f2)]]) ).
cnf(refute_0_813,plain,
( not(c2) != f2
| and(not(c2),or(b1,c2)) = and(f2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(not(c2),or(b1,c2)),and(not(c2),or(b1,c2))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
and(not(c2),or(b1,c2)) = and(f2,or(b1,c2)),
inference(resolve,[$cnf( $equal(not(c2),f2) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
and(or(b1,c2),not(c2)) = and(not(c2),or(b1,c2)),
inference(subst,[],[refute_0_129:[bind(X,$fot(not(c2))),bind(Y,$fot(or(b1,c2)))]]) ).
cnf(refute_0_816,plain,
( and(not(c2),or(b1,c2)) != and(f2,or(b1,c2))
| and(or(b1,c2),not(c2)) != and(not(c2),or(b1,c2))
| and(or(b1,c2),not(c2)) = and(f2,or(b1,c2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(or(b1,c2),not(c2)))),bind(Y0,$fot(and(not(c2),or(b1,c2)))),bind(Z0,$fot(and(f2,or(b1,c2))))]]) ).
cnf(refute_0_817,plain,
( and(not(c2),or(b1,c2)) != and(f2,or(b1,c2))
| and(or(b1,c2),not(c2)) = and(f2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(or(b1,c2),not(c2)),and(not(c2),or(b1,c2))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
and(or(b1,c2),not(c2)) = and(f2,or(b1,c2)),
inference(resolve,[$cnf( $equal(and(not(c2),or(b1,c2)),and(f2,or(b1,c2))) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
or(c2,and(or(b1,c2),not(c2))) = or(c2,and(or(b1,c2),not(c2))),
introduced(tautology,[refl,[$fot(or(c2,and(or(b1,c2),not(c2))))]]) ).
cnf(refute_0_820,plain,
( and(or(b1,c2),not(c2)) != and(f2,or(b1,c2))
| or(c2,and(or(b1,c2),not(c2))) != or(c2,and(or(b1,c2),not(c2)))
| or(c2,and(or(b1,c2),not(c2))) = or(c2,and(f2,or(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(c2,and(or(b1,c2),not(c2))),or(c2,and(or(b1,c2),not(c2)))) ),[1,1],$fot(and(f2,or(b1,c2)))]]) ).
cnf(refute_0_821,plain,
( and(or(b1,c2),not(c2)) != and(f2,or(b1,c2))
| or(c2,and(or(b1,c2),not(c2))) = or(c2,and(f2,or(b1,c2))) ),
inference(resolve,[$cnf( $equal(or(c2,and(or(b1,c2),not(c2))),or(c2,and(or(b1,c2),not(c2)))) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
or(c2,and(or(b1,c2),not(c2))) = or(c2,and(f2,or(b1,c2))),
inference(resolve,[$cnf( $equal(and(or(b1,c2),not(c2)),and(f2,or(b1,c2))) )],[refute_0_818,refute_0_821]) ).
cnf(refute_0_823,plain,
( or(c2,and(or(b1,c2),not(c2))) != or(b1,c2)
| or(c2,and(or(b1,c2),not(c2))) != or(c2,and(f2,or(b1,c2)))
| or(c2,and(f2,or(b1,c2))) = or(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(c2,and(or(b1,c2),not(c2))),or(b1,c2)) ),[0],$fot(or(c2,and(f2,or(b1,c2))))]]) ).
cnf(refute_0_824,plain,
( or(c2,and(or(b1,c2),not(c2))) != or(b1,c2)
| or(c2,and(f2,or(b1,c2))) = or(b1,c2) ),
inference(resolve,[$cnf( $equal(or(c2,and(or(b1,c2),not(c2))),or(c2,and(f2,or(b1,c2)))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
or(c2,and(f2,or(b1,c2))) = or(b1,c2),
inference(resolve,[$cnf( $equal(or(c2,and(or(b1,c2),not(c2))),or(b1,c2)) )],[refute_0_801,refute_0_824]) ).
cnf(refute_0_826,plain,
or(and(d1,and(f2,or(b1,c2))),and(and(f2,or(b1,c2)),not(d1))) = and(f2,or(b1,c2)),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d1)),bind(Y,$fot(and(f2,or(b1,c2))))]]) ).
cnf(refute_0_827,plain,
and(and(d1,f2),not(and(d1,f2))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(d1,f2)))]]) ).
cnf(refute_0_828,plain,
( and(and(d1,f2),not(and(d1,f2))) != n0
| not(and(d1,f2)) != or(b1,i2)
| and(and(d1,f2),or(b1,i2)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d1,f2),not(and(d1,f2))),n0) ),[0,1],$fot(or(b1,i2))]]) ).
cnf(refute_0_829,plain,
( and(and(d1,f2),not(and(d1,f2))) != n0
| and(and(d1,f2),or(b1,i2)) = n0 ),
inference(resolve,[$cnf( $equal(not(and(d1,f2)),or(b1,i2)) )],[refute_0_719,refute_0_828]) ).
cnf(refute_0_830,plain,
and(and(d1,f2),or(b1,i2)) = n0,
inference(resolve,[$cnf( $equal(and(and(d1,f2),not(and(d1,f2))),n0) )],[refute_0_827,refute_0_829]) ).
cnf(refute_0_831,plain,
and(and(d1,f2),or(b1,i2)) = and(d1,and(f2,or(b1,i2))),
inference(subst,[],[refute_0_202:[bind(X,$fot(d1)),bind(Y,$fot(f2)),bind(Z,$fot(or(b1,i2)))]]) ).
cnf(refute_0_832,plain,
( and(and(d1,f2),or(b1,i2)) != and(d1,and(f2,or(b1,i2)))
| and(and(d1,f2),or(b1,i2)) != n0
| and(d1,and(f2,or(b1,i2))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d1,f2),or(b1,i2)),n0) ),[0],$fot(and(d1,and(f2,or(b1,i2))))]]) ).
cnf(refute_0_833,plain,
( and(and(d1,f2),or(b1,i2)) != n0
| and(d1,and(f2,or(b1,i2))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(d1,f2),or(b1,i2)),and(d1,and(f2,or(b1,i2)))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
and(d1,and(f2,or(b1,i2))) = n0,
inference(resolve,[$cnf( $equal(and(and(d1,f2),or(b1,i2)),n0) )],[refute_0_830,refute_0_833]) ).
cnf(refute_0_835,plain,
and(f2,or(b1,i2)) = and(f2,or(b1,i2)),
introduced(tautology,[refl,[$fot(and(f2,or(b1,i2)))]]) ).
cnf(refute_0_836,plain,
( and(f2,or(b1,i2)) != and(f2,or(b1,i2))
| or(b1,i2) != or(b1,c2)
| and(f2,or(b1,i2)) = and(f2,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,or(b1,i2)),and(f2,or(b1,i2))) ),[1,1],$fot(or(b1,c2))]]) ).
cnf(refute_0_837,plain,
( or(b1,i2) != or(b1,c2)
| and(f2,or(b1,i2)) = and(f2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(f2,or(b1,i2)),and(f2,or(b1,i2))) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
and(f2,or(b1,i2)) = and(f2,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(b1,i2),or(b1,c2)) )],[refute_0_772,refute_0_837]) ).
cnf(refute_0_839,plain,
and(d1,and(f2,or(b1,i2))) = and(d1,and(f2,or(b1,i2))),
introduced(tautology,[refl,[$fot(and(d1,and(f2,or(b1,i2))))]]) ).
cnf(refute_0_840,plain,
( and(d1,and(f2,or(b1,i2))) != and(d1,and(f2,or(b1,i2)))
| and(f2,or(b1,i2)) != and(f2,or(b1,c2))
| and(d1,and(f2,or(b1,i2))) = and(d1,and(f2,or(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(f2,or(b1,i2))),and(d1,and(f2,or(b1,i2)))) ),[1,1],$fot(and(f2,or(b1,c2)))]]) ).
cnf(refute_0_841,plain,
( and(f2,or(b1,i2)) != and(f2,or(b1,c2))
| and(d1,and(f2,or(b1,i2))) = and(d1,and(f2,or(b1,c2))) ),
inference(resolve,[$cnf( $equal(and(d1,and(f2,or(b1,i2))),and(d1,and(f2,or(b1,i2)))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
and(d1,and(f2,or(b1,i2))) = and(d1,and(f2,or(b1,c2))),
inference(resolve,[$cnf( $equal(and(f2,or(b1,i2)),and(f2,or(b1,c2))) )],[refute_0_838,refute_0_841]) ).
cnf(refute_0_843,plain,
( and(d1,and(f2,or(b1,i2))) != and(d1,and(f2,or(b1,c2)))
| and(d1,and(f2,or(b1,i2))) != n0
| and(d1,and(f2,or(b1,c2))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(f2,or(b1,i2))),n0) ),[0],$fot(and(d1,and(f2,or(b1,c2))))]]) ).
cnf(refute_0_844,plain,
( and(d1,and(f2,or(b1,i2))) != n0
| and(d1,and(f2,or(b1,c2))) = n0 ),
inference(resolve,[$cnf( $equal(and(d1,and(f2,or(b1,i2))),and(d1,and(f2,or(b1,c2)))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
and(d1,and(f2,or(b1,c2))) = n0,
inference(resolve,[$cnf( $equal(and(d1,and(f2,or(b1,i2))),n0) )],[refute_0_834,refute_0_844]) ).
cnf(refute_0_846,plain,
( and(d1,and(f2,or(b1,c2))) != n0
| or(and(d1,and(f2,or(b1,c2))),and(and(f2,or(b1,c2)),not(d1))) != and(f2,or(b1,c2))
| or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(f2,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,and(f2,or(b1,c2))),and(and(f2,or(b1,c2)),not(d1))),and(f2,or(b1,c2))) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_847,plain,
( or(and(d1,and(f2,or(b1,c2))),and(and(f2,or(b1,c2)),not(d1))) != and(f2,or(b1,c2))
| or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(f2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(d1,and(f2,or(b1,c2))),n0) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(f2,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(and(d1,and(f2,or(b1,c2))),and(and(f2,or(b1,c2)),not(d1))),and(f2,or(b1,c2))) )],[refute_0_826,refute_0_847]) ).
cnf(refute_0_849,plain,
and(f2,b1) = and(b1,f2),
inference(subst,[],[refute_0_129:[bind(X,$fot(b1)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_850,plain,
not(not(and(b1,or(b1,c2)))) = and(b1,or(b1,c2)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b1,or(b1,c2))))]]) ).
cnf(refute_0_851,plain,
not(and(X_109,b1)) = or(not(X_109),not(b1)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(b1))]]) ).
cnf(refute_0_852,plain,
( not(and(X_109,b1)) != or(not(X_109),not(b1))
| not(b1) != d1
| not(and(X_109,b1)) = or(not(X_109),d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,b1)),or(not(X_109),not(b1))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_853,plain,
( not(and(X_109,b1)) != or(not(X_109),not(b1))
| not(and(X_109,b1)) = or(not(X_109),d1) ),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_852]) ).
cnf(refute_0_854,plain,
not(and(X_109,b1)) = or(not(X_109),d1),
inference(resolve,[$cnf( $equal(not(and(X_109,b1)),or(not(X_109),not(b1))) )],[refute_0_851,refute_0_853]) ).
cnf(refute_0_855,plain,
or(not(X_109),d1) = or(d1,not(X_109)),
inference(subst,[],[refute_0_37:[bind(X,$fot(d1)),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_856,plain,
( not(and(X_109,b1)) != or(not(X_109),d1)
| or(not(X_109),d1) != or(d1,not(X_109))
| not(and(X_109,b1)) = or(d1,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,b1)),or(d1,not(X_109))) ),[0],$fot(or(not(X_109),d1))]]) ).
cnf(refute_0_857,plain,
( not(and(X_109,b1)) != or(not(X_109),d1)
| not(and(X_109,b1)) = or(d1,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),d1),or(d1,not(X_109))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
not(and(X_109,b1)) = or(d1,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,b1)),or(not(X_109),d1)) )],[refute_0_854,refute_0_857]) ).
cnf(refute_0_859,plain,
not(and(or(b1,c2),b1)) = or(d1,not(or(b1,c2))),
inference(subst,[],[refute_0_858:[bind(X_109,$fot(or(b1,c2)))]]) ).
cnf(refute_0_860,plain,
not(or(b1,i2)) = not(or(b1,i2)),
introduced(tautology,[refl,[$fot(not(or(b1,i2)))]]) ).
cnf(refute_0_861,plain,
( not(or(b1,i2)) != not(or(b1,i2))
| or(b1,i2) != or(b1,c2)
| not(or(b1,i2)) = not(or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b1,i2)),not(or(b1,i2))) ),[1,0],$fot(or(b1,c2))]]) ).
cnf(refute_0_862,plain,
( or(b1,i2) != or(b1,c2)
| not(or(b1,i2)) = not(or(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,i2)),not(or(b1,i2))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
not(or(b1,i2)) = not(or(b1,c2)),
inference(resolve,[$cnf( $equal(or(b1,i2),or(b1,c2)) )],[refute_0_772,refute_0_862]) ).
cnf(refute_0_864,plain,
( not(or(b1,i2)) != and(d1,f2)
| not(or(b1,i2)) != not(or(b1,c2))
| not(or(b1,c2)) = and(d1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b1,i2)),and(d1,f2)) ),[0],$fot(not(or(b1,c2)))]]) ).
cnf(refute_0_865,plain,
( not(or(b1,i2)) != and(d1,f2)
| not(or(b1,c2)) = and(d1,f2) ),
inference(resolve,[$cnf( $equal(not(or(b1,i2)),not(or(b1,c2))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
not(or(b1,c2)) = and(d1,f2),
inference(resolve,[$cnf( $equal(not(or(b1,i2)),and(d1,f2)) )],[refute_0_722,refute_0_865]) ).
cnf(refute_0_867,plain,
( not(and(or(b1,c2),b1)) != or(d1,not(or(b1,c2)))
| not(or(b1,c2)) != and(d1,f2)
| not(and(or(b1,c2),b1)) = or(d1,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,c2),b1)),or(d1,not(or(b1,c2)))) ),[1,1],$fot(and(d1,f2))]]) ).
cnf(refute_0_868,plain,
( not(and(or(b1,c2),b1)) != or(d1,not(or(b1,c2)))
| not(and(or(b1,c2),b1)) = or(d1,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,c2)),and(d1,f2)) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
not(and(or(b1,c2),b1)) = or(d1,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,c2),b1)),or(d1,not(or(b1,c2)))) )],[refute_0_859,refute_0_868]) ).
cnf(refute_0_870,plain,
not(and(X_117,b1)) = or(d1,not(X_117)),
inference(subst,[],[refute_0_858:[bind(X_109,$fot(X_117))]]) ).
cnf(refute_0_871,plain,
and(b1,X_117) = and(X_117,b1),
inference(subst,[],[and_commutativity:[bind(X,$fot(b1)),bind(Y,$fot(X_117))]]) ).
cnf(refute_0_872,plain,
( and(b1,X_117) != and(X_117,b1)
| and(X_117,b1) = and(b1,X_117) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(b1,X_117))),bind(Y0,$fot(and(X_117,b1)))]]) ).
cnf(refute_0_873,plain,
and(X_117,b1) = and(b1,X_117),
inference(resolve,[$cnf( $equal(and(b1,X_117),and(X_117,b1)) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
( and(X_117,b1) != and(b1,X_117)
| not(and(X_117,b1)) != or(d1,not(X_117))
| not(and(b1,X_117)) = or(d1,not(X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_117,b1)),or(d1,not(X_117))) ),[0,0],$fot(and(b1,X_117))]]) ).
cnf(refute_0_875,plain,
( not(and(X_117,b1)) != or(d1,not(X_117))
| not(and(b1,X_117)) = or(d1,not(X_117)) ),
inference(resolve,[$cnf( $equal(and(X_117,b1),and(b1,X_117)) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
not(and(b1,X_117)) = or(d1,not(X_117)),
inference(resolve,[$cnf( $equal(not(and(X_117,b1)),or(d1,not(X_117))) )],[refute_0_870,refute_0_875]) ).
cnf(refute_0_877,plain,
( not(and(X_109,b1)) != or(d1,not(X_109))
| or(d1,not(X_109)) = not(and(X_109,b1)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,b1)))),bind(Y0,$fot(or(d1,not(X_109))))]]) ).
cnf(refute_0_878,plain,
or(d1,not(X_109)) = not(and(X_109,b1)),
inference(resolve,[$cnf( $equal(not(and(X_109,b1)),or(d1,not(X_109))) )],[refute_0_858,refute_0_877]) ).
cnf(refute_0_879,plain,
or(d1,not(X_117)) = not(and(X_117,b1)),
inference(subst,[],[refute_0_878:[bind(X_109,$fot(X_117))]]) ).
cnf(refute_0_880,plain,
( not(and(b1,X_117)) != or(d1,not(X_117))
| or(d1,not(X_117)) != not(and(X_117,b1))
| not(and(b1,X_117)) = not(and(X_117,b1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,X_117)),not(and(X_117,b1))) ),[0],$fot(or(d1,not(X_117)))]]) ).
cnf(refute_0_881,plain,
( not(and(b1,X_117)) != or(d1,not(X_117))
| not(and(b1,X_117)) = not(and(X_117,b1)) ),
inference(resolve,[$cnf( $equal(or(d1,not(X_117)),not(and(X_117,b1))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
not(and(b1,X_117)) = not(and(X_117,b1)),
inference(resolve,[$cnf( $equal(not(and(b1,X_117)),or(d1,not(X_117))) )],[refute_0_876,refute_0_881]) ).
cnf(refute_0_883,plain,
( not(and(b1,X_117)) != not(and(X_117,b1))
| not(and(X_117,b1)) = not(and(b1,X_117)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(b1,X_117)))),bind(Y0,$fot(not(and(X_117,b1))))]]) ).
cnf(refute_0_884,plain,
not(and(X_117,b1)) = not(and(b1,X_117)),
inference(resolve,[$cnf( $equal(not(and(b1,X_117)),not(and(X_117,b1))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
not(and(or(b1,c2),b1)) = not(and(b1,or(b1,c2))),
inference(subst,[],[refute_0_884:[bind(X_117,$fot(or(b1,c2)))]]) ).
cnf(refute_0_886,plain,
( not(and(or(b1,c2),b1)) != not(and(b1,or(b1,c2)))
| not(and(or(b1,c2),b1)) != or(d1,and(d1,f2))
| not(and(b1,or(b1,c2))) = or(d1,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,c2),b1)),or(d1,and(d1,f2))) ),[0],$fot(not(and(b1,or(b1,c2))))]]) ).
cnf(refute_0_887,plain,
( not(and(or(b1,c2),b1)) != or(d1,and(d1,f2))
| not(and(b1,or(b1,c2))) = or(d1,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,c2),b1)),not(and(b1,or(b1,c2)))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
or(and(X_14,f2),or(and(i2,X_14),and(X_14,f2))) = or(and(X_14,f2),and(i2,X_14)),
inference(subst,[],[refute_0_345:[bind(X,$fot(and(X_14,f2))),bind(Y,$fot(and(i2,X_14)))]]) ).
cnf(refute_0_889,plain,
or(and(i2,X_14),and(X_14,not(i2))) = X_14,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(i2)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_890,plain,
( not(i2) != f2
| or(and(i2,X_14),and(X_14,not(i2))) != X_14
| or(and(i2,X_14),and(X_14,f2)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(i2,X_14),and(X_14,not(i2))),X_14) ),[0,1,1],$fot(f2)]]) ).
cnf(refute_0_891,plain,
( or(and(i2,X_14),and(X_14,not(i2))) != X_14
| or(and(i2,X_14),and(X_14,f2)) = X_14 ),
inference(resolve,[$cnf( $equal(not(i2),f2) )],[refute_0_320,refute_0_890]) ).
cnf(refute_0_892,plain,
or(and(i2,X_14),and(X_14,f2)) = X_14,
inference(resolve,[$cnf( $equal(or(and(i2,X_14),and(X_14,not(i2))),X_14) )],[refute_0_889,refute_0_891]) ).
cnf(refute_0_893,plain,
( or(and(X_14,f2),or(and(i2,X_14),and(X_14,f2))) != or(and(X_14,f2),and(i2,X_14))
| or(and(i2,X_14),and(X_14,f2)) != X_14
| or(and(X_14,f2),X_14) = or(and(X_14,f2),and(i2,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_14,f2),or(and(i2,X_14),and(X_14,f2))),or(and(X_14,f2),and(i2,X_14))) ),[0,1],$fot(X_14)]]) ).
cnf(refute_0_894,plain,
( or(and(X_14,f2),or(and(i2,X_14),and(X_14,f2))) != or(and(X_14,f2),and(i2,X_14))
| or(and(X_14,f2),X_14) = or(and(X_14,f2),and(i2,X_14)) ),
inference(resolve,[$cnf( $equal(or(and(i2,X_14),and(X_14,f2)),X_14) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
or(and(X_14,f2),X_14) = or(and(X_14,f2),and(i2,X_14)),
inference(resolve,[$cnf( $equal(or(and(X_14,f2),or(and(i2,X_14),and(X_14,f2))),or(and(X_14,f2),and(i2,X_14))) )],[refute_0_888,refute_0_894]) ).
cnf(refute_0_896,plain,
or(and(X_14,f2),X_14) = or(X_14,and(X_14,f2)),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_14)),bind(Y,$fot(and(X_14,f2)))]]) ).
cnf(refute_0_897,plain,
( or(and(X_14,f2),X_14) != or(X_14,and(X_14,f2))
| or(and(X_14,f2),X_14) != or(and(X_14,f2),and(i2,X_14))
| or(X_14,and(X_14,f2)) = or(and(X_14,f2),and(i2,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_14,f2),X_14),or(and(X_14,f2),and(i2,X_14))) ),[0],$fot(or(X_14,and(X_14,f2)))]]) ).
cnf(refute_0_898,plain,
( or(and(X_14,f2),X_14) != or(and(X_14,f2),and(i2,X_14))
| or(X_14,and(X_14,f2)) = or(and(X_14,f2),and(i2,X_14)) ),
inference(resolve,[$cnf( $equal(or(and(X_14,f2),X_14),or(X_14,and(X_14,f2))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
or(and(X_31,f2),and(i2,X_31)) = or(and(i2,X_31),and(X_31,f2)),
inference(subst,[],[or_commutativity:[bind(X,$fot(and(X_31,f2))),bind(Y,$fot(and(i2,X_31)))]]) ).
cnf(refute_0_900,plain,
or(and(i2,X_31),and(X_31,f2)) = X_31,
inference(subst,[],[refute_0_892:[bind(X_14,$fot(X_31))]]) ).
cnf(refute_0_901,plain,
( or(and(X_31,f2),and(i2,X_31)) != or(and(i2,X_31),and(X_31,f2))
| or(and(i2,X_31),and(X_31,f2)) != X_31
| or(and(X_31,f2),and(i2,X_31)) = X_31 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X_31,f2),and(i2,X_31)),X_31) ),[0],$fot(or(and(i2,X_31),and(X_31,f2)))]]) ).
cnf(refute_0_902,plain,
( or(and(X_31,f2),and(i2,X_31)) != or(and(i2,X_31),and(X_31,f2))
| or(and(X_31,f2),and(i2,X_31)) = X_31 ),
inference(resolve,[$cnf( $equal(or(and(i2,X_31),and(X_31,f2)),X_31) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
or(and(X_31,f2),and(i2,X_31)) = X_31,
inference(resolve,[$cnf( $equal(or(and(X_31,f2),and(i2,X_31)),or(and(i2,X_31),and(X_31,f2))) )],[refute_0_899,refute_0_902]) ).
cnf(refute_0_904,plain,
or(and(X_14,f2),and(i2,X_14)) = X_14,
inference(subst,[],[refute_0_903:[bind(X_31,$fot(X_14))]]) ).
cnf(refute_0_905,plain,
( or(X_14,and(X_14,f2)) != or(and(X_14,f2),and(i2,X_14))
| or(and(X_14,f2),and(i2,X_14)) != X_14
| or(X_14,and(X_14,f2)) = X_14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X_14,and(X_14,f2)),X_14) ),[0],$fot(or(and(X_14,f2),and(i2,X_14)))]]) ).
cnf(refute_0_906,plain,
( or(X_14,and(X_14,f2)) != or(and(X_14,f2),and(i2,X_14))
| or(X_14,and(X_14,f2)) = X_14 ),
inference(resolve,[$cnf( $equal(or(and(X_14,f2),and(i2,X_14)),X_14) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
( or(and(X_14,f2),X_14) != or(and(X_14,f2),and(i2,X_14))
| or(X_14,and(X_14,f2)) = X_14 ),
inference(resolve,[$cnf( $equal(or(X_14,and(X_14,f2)),or(and(X_14,f2),and(i2,X_14))) )],[refute_0_898,refute_0_906]) ).
cnf(refute_0_908,plain,
or(X_14,and(X_14,f2)) = X_14,
inference(resolve,[$cnf( $equal(or(and(X_14,f2),X_14),or(and(X_14,f2),and(i2,X_14))) )],[refute_0_895,refute_0_907]) ).
cnf(refute_0_909,plain,
or(d1,and(d1,f2)) = d1,
inference(subst,[],[refute_0_908:[bind(X_14,$fot(d1))]]) ).
cnf(refute_0_910,plain,
( not(and(b1,or(b1,c2))) != or(d1,and(d1,f2))
| or(d1,and(d1,f2)) != d1
| not(and(b1,or(b1,c2))) = d1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,or(b1,c2))),d1) ),[0],$fot(or(d1,and(d1,f2)))]]) ).
cnf(refute_0_911,plain,
( not(and(b1,or(b1,c2))) != or(d1,and(d1,f2))
| not(and(b1,or(b1,c2))) = d1 ),
inference(resolve,[$cnf( $equal(or(d1,and(d1,f2)),d1) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
( not(and(or(b1,c2),b1)) != or(d1,and(d1,f2))
| not(and(b1,or(b1,c2))) = d1 ),
inference(resolve,[$cnf( $equal(not(and(b1,or(b1,c2))),or(d1,and(d1,f2))) )],[refute_0_887,refute_0_911]) ).
cnf(refute_0_913,plain,
not(and(b1,or(b1,c2))) = d1,
inference(resolve,[$cnf( $equal(not(and(or(b1,c2),b1)),or(d1,and(d1,f2))) )],[refute_0_869,refute_0_912]) ).
cnf(refute_0_914,plain,
( not(and(b1,or(b1,c2))) != d1
| not(not(and(b1,or(b1,c2)))) != and(b1,or(b1,c2))
| not(d1) = and(b1,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b1,or(b1,c2)))),and(b1,or(b1,c2))) ),[0,0],$fot(d1)]]) ).
cnf(refute_0_915,plain,
( not(not(and(b1,or(b1,c2)))) != and(b1,or(b1,c2))
| not(d1) = and(b1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(and(b1,or(b1,c2))),d1) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
not(d1) = and(b1,or(b1,c2)),
inference(resolve,[$cnf( $equal(not(not(and(b1,or(b1,c2)))),and(b1,or(b1,c2))) )],[refute_0_850,refute_0_915]) ).
cnf(refute_0_917,plain,
( not(d1) != and(b1,or(b1,c2))
| not(d1) != b1
| b1 = and(b1,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(d1),and(b1,or(b1,c2))) ),[0],$fot(b1)]]) ).
cnf(refute_0_918,plain,
( not(d1) != and(b1,or(b1,c2))
| b1 = and(b1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_917]) ).
cnf(refute_0_919,plain,
b1 = and(b1,or(b1,c2)),
inference(resolve,[$cnf( $equal(not(d1),and(b1,or(b1,c2))) )],[refute_0_916,refute_0_918]) ).
cnf(refute_0_920,plain,
( b1 != and(b1,or(b1,c2))
| and(b1,or(b1,c2)) = b1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b1)),bind(Y0,$fot(and(b1,or(b1,c2))))]]) ).
cnf(refute_0_921,plain,
and(b1,or(b1,c2)) = b1,
inference(resolve,[$cnf( $equal(b1,and(b1,or(b1,c2))) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
and(not(d1),or(b1,c2)) = and(not(d1),or(b1,c2)),
introduced(tautology,[refl,[$fot(and(not(d1),or(b1,c2)))]]) ).
cnf(refute_0_923,plain,
( and(not(d1),or(b1,c2)) != and(not(d1),or(b1,c2))
| not(d1) != b1
| and(not(d1),or(b1,c2)) = and(b1,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(d1),or(b1,c2)),and(not(d1),or(b1,c2))) ),[1,0],$fot(b1)]]) ).
cnf(refute_0_924,plain,
( not(d1) != b1
| and(not(d1),or(b1,c2)) = and(b1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(not(d1),or(b1,c2)),and(not(d1),or(b1,c2))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
and(not(d1),or(b1,c2)) = and(b1,or(b1,c2)),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_924]) ).
cnf(refute_0_926,plain,
( and(b1,or(b1,c2)) != b1
| and(not(d1),or(b1,c2)) != and(b1,or(b1,c2))
| and(not(d1),or(b1,c2)) = b1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(not(d1),or(b1,c2)))),bind(Y0,$fot(and(b1,or(b1,c2)))),bind(Z0,$fot(b1))]]) ).
cnf(refute_0_927,plain,
( and(b1,or(b1,c2)) != b1
| and(not(d1),or(b1,c2)) = b1 ),
inference(resolve,[$cnf( $equal(and(not(d1),or(b1,c2)),and(b1,or(b1,c2))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
and(not(d1),or(b1,c2)) = b1,
inference(resolve,[$cnf( $equal(and(b1,or(b1,c2)),b1) )],[refute_0_921,refute_0_927]) ).
cnf(refute_0_929,plain,
and(f2,and(not(d1),or(b1,c2))) = and(f2,and(not(d1),or(b1,c2))),
introduced(tautology,[refl,[$fot(and(f2,and(not(d1),or(b1,c2))))]]) ).
cnf(refute_0_930,plain,
( and(f2,and(not(d1),or(b1,c2))) != and(f2,and(not(d1),or(b1,c2)))
| and(not(d1),or(b1,c2)) != b1
| and(f2,and(not(d1),or(b1,c2))) = and(f2,b1) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,and(not(d1),or(b1,c2))),and(f2,and(not(d1),or(b1,c2)))) ),[1,1],$fot(b1)]]) ).
cnf(refute_0_931,plain,
( and(not(d1),or(b1,c2)) != b1
| and(f2,and(not(d1),or(b1,c2))) = and(f2,b1) ),
inference(resolve,[$cnf( $equal(and(f2,and(not(d1),or(b1,c2))),and(f2,and(not(d1),or(b1,c2)))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
and(f2,and(not(d1),or(b1,c2))) = and(f2,b1),
inference(resolve,[$cnf( $equal(and(not(d1),or(b1,c2)),b1) )],[refute_0_928,refute_0_931]) ).
cnf(refute_0_933,plain,
( and(f2,and(not(d1),or(b1,c2))) != and(f2,b1)
| and(f2,b1) != and(b1,f2)
| and(f2,and(not(d1),or(b1,c2))) = and(b1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f2,and(not(d1),or(b1,c2))))),bind(Y0,$fot(and(f2,b1))),bind(Z0,$fot(and(b1,f2)))]]) ).
cnf(refute_0_934,plain,
( and(f2,b1) != and(b1,f2)
| and(f2,and(not(d1),or(b1,c2))) = and(b1,f2) ),
inference(resolve,[$cnf( $equal(and(f2,and(not(d1),or(b1,c2))),and(f2,b1)) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
and(f2,and(not(d1),or(b1,c2))) = and(b1,f2),
inference(resolve,[$cnf( $equal(and(f2,b1),and(b1,f2)) )],[refute_0_849,refute_0_934]) ).
cnf(refute_0_936,plain,
( and(and(X,Y),Z) != and(X,and(Y,Z))
| and(and(X,Y),Z) != and(and(X,Z),Y)
| and(X,and(Y,Z)) = and(and(X,Z),Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(X,Y),Z),and(and(X,Z),Y)) ),[0],$fot(and(X,and(Y,Z)))]]) ).
cnf(refute_0_937,plain,
( and(and(X,Y),Z) != and(and(X,Z),Y)
| and(X,and(Y,Z)) = and(and(X,Z),Y) ),
inference(resolve,[$cnf( $equal(and(and(X,Y),Z),and(X,and(Y,Z))) )],[refute_0_202,refute_0_936]) ).
cnf(refute_0_938,plain,
and(and(X,Z),Y) = and(X,and(Z,Y)),
inference(subst,[],[refute_0_202:[bind(Y,$fot(Z)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_939,plain,
( and(X,and(Y,Z)) != and(and(X,Z),Y)
| and(and(X,Z),Y) != and(X,and(Z,Y))
| and(X,and(Y,Z)) = and(X,and(Z,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(X,and(Y,Z)),and(X,and(Z,Y))) ),[0],$fot(and(and(X,Z),Y))]]) ).
cnf(refute_0_940,plain,
( and(X,and(Y,Z)) != and(and(X,Z),Y)
| and(X,and(Y,Z)) = and(X,and(Z,Y)) ),
inference(resolve,[$cnf( $equal(and(and(X,Z),Y),and(X,and(Z,Y))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
( and(and(X,Y),Z) != and(and(X,Z),Y)
| and(X,and(Y,Z)) = and(X,and(Z,Y)) ),
inference(resolve,[$cnf( $equal(and(X,and(Y,Z)),and(and(X,Z),Y)) )],[refute_0_937,refute_0_940]) ).
cnf(refute_0_942,plain,
and(X,and(Y,Z)) = and(X,and(Z,Y)),
inference(resolve,[$cnf( $equal(and(and(X,Y),Z),and(and(X,Z),Y)) )],[and_sorting,refute_0_941]) ).
cnf(refute_0_943,plain,
( and(X,and(Y,Z)) != and(X,and(Z,Y))
| and(X,and(Z,Y)) = and(X,and(Y,Z)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(X,and(Y,Z)))),bind(Y0,$fot(and(X,and(Z,Y))))]]) ).
cnf(refute_0_944,plain,
and(X,and(Z,Y)) = and(X,and(Y,Z)),
inference(resolve,[$cnf( $equal(and(X,and(Y,Z)),and(X,and(Z,Y))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
and(f2,and(or(b1,c2),not(d1))) = and(f2,and(not(d1),or(b1,c2))),
inference(subst,[],[refute_0_944:[bind(X,$fot(f2)),bind(Y,$fot(not(d1))),bind(Z,$fot(or(b1,c2)))]]) ).
cnf(refute_0_946,plain,
and(and(f2,or(b1,c2)),not(d1)) = and(f2,and(or(b1,c2),not(d1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(f2)),bind(Y,$fot(or(b1,c2))),bind(Z,$fot(not(d1)))]]) ).
cnf(refute_0_947,plain,
( and(and(f2,or(b1,c2)),not(d1)) != and(f2,and(or(b1,c2),not(d1)))
| and(f2,and(or(b1,c2),not(d1))) != and(f2,and(not(d1),or(b1,c2)))
| and(and(f2,or(b1,c2)),not(d1)) = and(f2,and(not(d1),or(b1,c2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(f2,or(b1,c2)),not(d1)))),bind(Y0,$fot(and(f2,and(or(b1,c2),not(d1))))),bind(Z0,$fot(and(f2,and(not(d1),or(b1,c2)))))]]) ).
cnf(refute_0_948,plain,
( and(f2,and(or(b1,c2),not(d1))) != and(f2,and(not(d1),or(b1,c2)))
| and(and(f2,or(b1,c2)),not(d1)) = and(f2,and(not(d1),or(b1,c2))) ),
inference(resolve,[$cnf( $equal(and(and(f2,or(b1,c2)),not(d1)),and(f2,and(or(b1,c2),not(d1)))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
and(and(f2,or(b1,c2)),not(d1)) = and(f2,and(not(d1),or(b1,c2))),
inference(resolve,[$cnf( $equal(and(f2,and(or(b1,c2),not(d1))),and(f2,and(not(d1),or(b1,c2)))) )],[refute_0_945,refute_0_948]) ).
cnf(refute_0_950,plain,
or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(and(f2,or(b1,c2)),not(d1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(f2,or(b1,c2)),not(d1))))]]) ).
cnf(refute_0_951,plain,
( and(and(f2,or(b1,c2)),not(d1)) != and(f2,and(not(d1),or(b1,c2)))
| or(n0,and(and(f2,or(b1,c2)),not(d1))) != and(and(f2,or(b1,c2)),not(d1))
| or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(f2,and(not(d1),or(b1,c2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(f2,or(b1,c2)),not(d1))))),bind(Y0,$fot(and(and(f2,or(b1,c2)),not(d1)))),bind(Z0,$fot(and(f2,and(not(d1),or(b1,c2)))))]]) ).
cnf(refute_0_952,plain,
( and(and(f2,or(b1,c2)),not(d1)) != and(f2,and(not(d1),or(b1,c2)))
| or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(f2,and(not(d1),or(b1,c2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(f2,or(b1,c2)),not(d1))),and(and(f2,or(b1,c2)),not(d1))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(f2,and(not(d1),or(b1,c2))),
inference(resolve,[$cnf( $equal(and(and(f2,or(b1,c2)),not(d1)),and(f2,and(not(d1),or(b1,c2)))) )],[refute_0_949,refute_0_952]) ).
cnf(refute_0_954,plain,
( and(f2,and(not(d1),or(b1,c2))) != and(b1,f2)
| or(n0,and(and(f2,or(b1,c2)),not(d1))) != and(f2,and(not(d1),or(b1,c2)))
| or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(b1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(f2,or(b1,c2)),not(d1))))),bind(Y0,$fot(and(f2,and(not(d1),or(b1,c2))))),bind(Z0,$fot(and(b1,f2)))]]) ).
cnf(refute_0_955,plain,
( and(f2,and(not(d1),or(b1,c2))) != and(b1,f2)
| or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(b1,f2) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(f2,or(b1,c2)),not(d1))),and(f2,and(not(d1),or(b1,c2)))) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
or(n0,and(and(f2,or(b1,c2)),not(d1))) = and(b1,f2),
inference(resolve,[$cnf( $equal(and(f2,and(not(d1),or(b1,c2))),and(b1,f2)) )],[refute_0_935,refute_0_955]) ).
cnf(refute_0_957,plain,
( or(n0,and(and(f2,or(b1,c2)),not(d1))) != and(b1,f2)
| or(n0,and(and(f2,or(b1,c2)),not(d1))) != and(f2,or(b1,c2))
| and(b1,f2) = and(f2,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(f2,or(b1,c2)),not(d1))),and(f2,or(b1,c2))) ),[0],$fot(and(b1,f2))]]) ).
cnf(refute_0_958,plain,
( or(n0,and(and(f2,or(b1,c2)),not(d1))) != and(f2,or(b1,c2))
| and(b1,f2) = and(f2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(f2,or(b1,c2)),not(d1))),and(b1,f2)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
and(b1,f2) = and(f2,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(n0,and(and(f2,or(b1,c2)),not(d1))),and(f2,or(b1,c2))) )],[refute_0_848,refute_0_958]) ).
cnf(refute_0_960,plain,
( and(b1,f2) != and(f2,or(b1,c2))
| and(f2,or(b1,c2)) = and(b1,f2) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(b1,f2))),bind(Y0,$fot(and(f2,or(b1,c2))))]]) ).
cnf(refute_0_961,plain,
and(f2,or(b1,c2)) = and(b1,f2),
inference(resolve,[$cnf( $equal(and(b1,f2),and(f2,or(b1,c2))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
or(c2,and(f2,or(b1,c2))) = or(c2,and(f2,or(b1,c2))),
introduced(tautology,[refl,[$fot(or(c2,and(f2,or(b1,c2))))]]) ).
cnf(refute_0_963,plain,
( and(f2,or(b1,c2)) != and(b1,f2)
| or(c2,and(f2,or(b1,c2))) != or(c2,and(f2,or(b1,c2)))
| or(c2,and(f2,or(b1,c2))) = or(c2,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(c2,and(f2,or(b1,c2))),or(c2,and(f2,or(b1,c2)))) ),[1,1],$fot(and(b1,f2))]]) ).
cnf(refute_0_964,plain,
( and(f2,or(b1,c2)) != and(b1,f2)
| or(c2,and(f2,or(b1,c2))) = or(c2,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(or(c2,and(f2,or(b1,c2))),or(c2,and(f2,or(b1,c2)))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
or(c2,and(f2,or(b1,c2))) = or(c2,and(b1,f2)),
inference(resolve,[$cnf( $equal(and(f2,or(b1,c2)),and(b1,f2)) )],[refute_0_961,refute_0_964]) ).
cnf(refute_0_966,plain,
( or(c2,and(f2,or(b1,c2))) != or(b1,c2)
| or(c2,and(f2,or(b1,c2))) != or(c2,and(b1,f2))
| or(c2,and(b1,f2)) = or(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(c2,and(f2,or(b1,c2))),or(b1,c2)) ),[0],$fot(or(c2,and(b1,f2)))]]) ).
cnf(refute_0_967,plain,
( or(c2,and(f2,or(b1,c2))) != or(b1,c2)
| or(c2,and(b1,f2)) = or(b1,c2) ),
inference(resolve,[$cnf( $equal(or(c2,and(f2,or(b1,c2))),or(c2,and(b1,f2))) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
or(c2,and(b1,f2)) = or(b1,c2),
inference(resolve,[$cnf( $equal(or(c2,and(f2,or(b1,c2))),or(b1,c2)) )],[refute_0_825,refute_0_967]) ).
cnf(refute_0_969,plain,
or(i2,not(X_109)) = or(i2,not(X_109)),
introduced(tautology,[refl,[$fot(or(i2,not(X_109)))]]) ).
cnf(refute_0_970,plain,
( i2 != c2
| or(i2,not(X_109)) != or(i2,not(X_109))
| or(i2,not(X_109)) = or(c2,not(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(or(i2,not(X_109)),or(i2,not(X_109))) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_971,plain,
( i2 != c2
| or(i2,not(X_109)) = or(c2,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(i2,not(X_109)),or(i2,not(X_109))) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
or(i2,not(X_109)) = or(c2,not(X_109)),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_971]) ).
cnf(refute_0_973,plain,
( not(and(X_109,f2)) != or(i2,not(X_109))
| or(i2,not(X_109)) != or(c2,not(X_109))
| not(and(X_109,f2)) = or(c2,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,f2)),or(c2,not(X_109))) ),[0],$fot(or(i2,not(X_109)))]]) ).
cnf(refute_0_974,plain,
( not(and(X_109,f2)) != or(i2,not(X_109))
| not(and(X_109,f2)) = or(c2,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(i2,not(X_109)),or(c2,not(X_109))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
not(and(X_109,f2)) = or(c2,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,f2)),or(i2,not(X_109))) )],[refute_0_555,refute_0_974]) ).
cnf(refute_0_976,plain,
( not(and(X_109,f2)) != or(c2,not(X_109))
| or(c2,not(X_109)) = not(and(X_109,f2)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,f2)))),bind(Y0,$fot(or(c2,not(X_109))))]]) ).
cnf(refute_0_977,plain,
or(c2,not(X_109)) = not(and(X_109,f2)),
inference(resolve,[$cnf( $equal(not(and(X_109,f2)),or(c2,not(X_109))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
or(c2,not(b3)) = not(and(b3,f2)),
inference(subst,[],[refute_0_977:[bind(X_109,$fot(b3))]]) ).
cnf(refute_0_979,plain,
or(and(c1,and(b1,f2)),and(and(b1,f2),not(c1))) = and(b1,f2),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(c1)),bind(Y,$fot(and(b1,f2)))]]) ).
cnf(refute_0_980,plain,
and(and(c1,and(b1,f2)),not(and(c1,and(b1,f2)))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(c1,and(b1,f2))))]]) ).
cnf(refute_0_981,plain,
not(and(and(c1,or(b1,i2)),f2)) = or(i2,not(and(c1,or(b1,i2)))),
inference(subst,[],[refute_0_555:[bind(X_109,$fot(and(c1,or(b1,i2))))]]) ).
cnf(refute_0_982,plain,
not(and(or(b1,i2),i1)) = or(f1,not(or(b1,i2))),
inference(subst,[],[refute_0_190:[bind(X_109,$fot(or(b1,i2)))]]) ).
cnf(refute_0_983,plain,
( not(and(or(b1,i2),i1)) != or(f1,not(or(b1,i2)))
| not(or(b1,i2)) != and(d1,f2)
| not(and(or(b1,i2),i1)) = or(f1,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,i2),i1)),or(f1,not(or(b1,i2)))) ),[1,1],$fot(and(d1,f2))]]) ).
cnf(refute_0_984,plain,
( not(and(or(b1,i2),i1)) != or(f1,not(or(b1,i2)))
| not(and(or(b1,i2),i1)) = or(f1,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,i2)),and(d1,f2)) )],[refute_0_722,refute_0_983]) ).
cnf(refute_0_985,plain,
not(and(or(b1,i2),i1)) = or(f1,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),i1)),or(f1,not(or(b1,i2)))) )],[refute_0_982,refute_0_984]) ).
cnf(refute_0_986,plain,
not(and(X_114,i1)) = or(f1,not(X_114)),
inference(subst,[],[refute_0_190:[bind(X_109,$fot(X_114))]]) ).
cnf(refute_0_987,plain,
and(i1,X_114) = and(X_114,i1),
inference(subst,[],[and_commutativity:[bind(X,$fot(i1)),bind(Y,$fot(X_114))]]) ).
cnf(refute_0_988,plain,
( and(i1,X_114) != and(X_114,i1)
| and(X_114,i1) = and(i1,X_114) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(i1,X_114))),bind(Y0,$fot(and(X_114,i1)))]]) ).
cnf(refute_0_989,plain,
and(X_114,i1) = and(i1,X_114),
inference(resolve,[$cnf( $equal(and(i1,X_114),and(X_114,i1)) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
( and(X_114,i1) != and(i1,X_114)
| not(and(X_114,i1)) != or(f1,not(X_114))
| not(and(i1,X_114)) = or(f1,not(X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_114,i1)),or(f1,not(X_114))) ),[0,0],$fot(and(i1,X_114))]]) ).
cnf(refute_0_991,plain,
( not(and(X_114,i1)) != or(f1,not(X_114))
| not(and(i1,X_114)) = or(f1,not(X_114)) ),
inference(resolve,[$cnf( $equal(and(X_114,i1),and(i1,X_114)) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
not(and(i1,X_114)) = or(f1,not(X_114)),
inference(resolve,[$cnf( $equal(not(and(X_114,i1)),or(f1,not(X_114))) )],[refute_0_986,refute_0_991]) ).
cnf(refute_0_993,plain,
( not(and(X_109,i1)) != or(f1,not(X_109))
| or(f1,not(X_109)) = not(and(X_109,i1)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,i1)))),bind(Y0,$fot(or(f1,not(X_109))))]]) ).
cnf(refute_0_994,plain,
or(f1,not(X_109)) = not(and(X_109,i1)),
inference(resolve,[$cnf( $equal(not(and(X_109,i1)),or(f1,not(X_109))) )],[refute_0_190,refute_0_993]) ).
cnf(refute_0_995,plain,
or(f1,not(X_114)) = not(and(X_114,i1)),
inference(subst,[],[refute_0_994:[bind(X_109,$fot(X_114))]]) ).
cnf(refute_0_996,plain,
( not(and(i1,X_114)) != or(f1,not(X_114))
| or(f1,not(X_114)) != not(and(X_114,i1))
| not(and(i1,X_114)) = not(and(X_114,i1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(i1,X_114)),not(and(X_114,i1))) ),[0],$fot(or(f1,not(X_114)))]]) ).
cnf(refute_0_997,plain,
( not(and(i1,X_114)) != or(f1,not(X_114))
| not(and(i1,X_114)) = not(and(X_114,i1)) ),
inference(resolve,[$cnf( $equal(or(f1,not(X_114)),not(and(X_114,i1))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
not(and(i1,X_114)) = not(and(X_114,i1)),
inference(resolve,[$cnf( $equal(not(and(i1,X_114)),or(f1,not(X_114))) )],[refute_0_992,refute_0_997]) ).
cnf(refute_0_999,plain,
( not(and(i1,X_114)) != not(and(X_114,i1))
| not(and(X_114,i1)) = not(and(i1,X_114)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(i1,X_114)))),bind(Y0,$fot(not(and(X_114,i1))))]]) ).
cnf(refute_0_1000,plain,
not(and(X_114,i1)) = not(and(i1,X_114)),
inference(resolve,[$cnf( $equal(not(and(i1,X_114)),not(and(X_114,i1))) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
not(and(or(b1,i2),i1)) = not(and(i1,or(b1,i2))),
inference(subst,[],[refute_0_1000:[bind(X_114,$fot(or(b1,i2)))]]) ).
cnf(refute_0_1002,plain,
( not(and(or(b1,i2),i1)) != not(and(i1,or(b1,i2)))
| not(and(or(b1,i2),i1)) != or(f1,and(d1,f2))
| not(and(i1,or(b1,i2))) = or(f1,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,i2),i1)),or(f1,and(d1,f2))) ),[0],$fot(not(and(i1,or(b1,i2))))]]) ).
cnf(refute_0_1003,plain,
( not(and(or(b1,i2),i1)) != or(f1,and(d1,f2))
| not(and(i1,or(b1,i2))) = or(f1,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),i1)),not(and(i1,or(b1,i2)))) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
not(and(i1,or(b1,i2))) = or(f1,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),i1)),or(f1,and(d1,f2))) )],[refute_0_985,refute_0_1003]) ).
cnf(refute_0_1005,plain,
and(i1,or(b1,i2)) = and(i1,or(b1,i2)),
introduced(tautology,[refl,[$fot(and(i1,or(b1,i2)))]]) ).
cnf(refute_0_1006,plain,
( and(i1,or(b1,i2)) != and(i1,or(b1,i2))
| i1 != c1
| and(i1,or(b1,i2)) = and(c1,or(b1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,or(b1,i2)),and(i1,or(b1,i2))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_1007,plain,
( i1 != c1
| and(i1,or(b1,i2)) = and(c1,or(b1,i2)) ),
inference(resolve,[$cnf( $equal(and(i1,or(b1,i2)),and(i1,or(b1,i2))) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
and(i1,or(b1,i2)) = and(c1,or(b1,i2)),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_1007]) ).
cnf(refute_0_1009,plain,
not(and(i1,or(b1,i2))) = not(and(i1,or(b1,i2))),
introduced(tautology,[refl,[$fot(not(and(i1,or(b1,i2))))]]) ).
cnf(refute_0_1010,plain,
( and(i1,or(b1,i2)) != and(c1,or(b1,i2))
| not(and(i1,or(b1,i2))) != not(and(i1,or(b1,i2)))
| not(and(i1,or(b1,i2))) = not(and(c1,or(b1,i2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,or(b1,i2))),not(and(i1,or(b1,i2)))) ),[1,0],$fot(and(c1,or(b1,i2)))]]) ).
cnf(refute_0_1011,plain,
( and(i1,or(b1,i2)) != and(c1,or(b1,i2))
| not(and(i1,or(b1,i2))) = not(and(c1,or(b1,i2))) ),
inference(resolve,[$cnf( $equal(not(and(i1,or(b1,i2))),not(and(i1,or(b1,i2)))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
not(and(i1,or(b1,i2))) = not(and(c1,or(b1,i2))),
inference(resolve,[$cnf( $equal(and(i1,or(b1,i2)),and(c1,or(b1,i2))) )],[refute_0_1008,refute_0_1011]) ).
cnf(refute_0_1013,plain,
( not(and(i1,or(b1,i2))) != not(and(c1,or(b1,i2)))
| not(and(i1,or(b1,i2))) != or(f1,and(d1,f2))
| not(and(c1,or(b1,i2))) = or(f1,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,or(b1,i2))),or(f1,and(d1,f2))) ),[0],$fot(not(and(c1,or(b1,i2))))]]) ).
cnf(refute_0_1014,plain,
( not(and(i1,or(b1,i2))) != or(f1,and(d1,f2))
| not(and(c1,or(b1,i2))) = or(f1,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(i1,or(b1,i2))),not(and(c1,or(b1,i2)))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
not(and(c1,or(b1,i2))) = or(f1,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(i1,or(b1,i2))),or(f1,and(d1,f2))) )],[refute_0_1004,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( not(and(and(c1,or(b1,i2)),f2)) != or(i2,not(and(c1,or(b1,i2))))
| not(and(c1,or(b1,i2))) != or(f1,and(d1,f2))
| not(and(and(c1,or(b1,i2)),f2)) = or(i2,or(f1,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c1,or(b1,i2)),f2)),or(i2,not(and(c1,or(b1,i2))))) ),[1,1],$fot(or(f1,and(d1,f2)))]]) ).
cnf(refute_0_1017,plain,
( not(and(and(c1,or(b1,i2)),f2)) != or(i2,not(and(c1,or(b1,i2))))
| not(and(and(c1,or(b1,i2)),f2)) = or(i2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(c1,or(b1,i2))),or(f1,and(d1,f2))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
not(and(and(c1,or(b1,i2)),f2)) = or(i2,or(f1,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(and(c1,or(b1,i2)),f2)),or(i2,not(and(c1,or(b1,i2))))) )],[refute_0_981,refute_0_1017]) ).
cnf(refute_0_1019,plain,
not(and(and(f2,or(b1,i2)),i1)) = or(f1,not(and(f2,or(b1,i2)))),
inference(subst,[],[refute_0_190:[bind(X_109,$fot(and(f2,or(b1,i2))))]]) ).
cnf(refute_0_1020,plain,
not(and(or(b1,i2),f2)) = or(i2,not(or(b1,i2))),
inference(subst,[],[refute_0_555:[bind(X_109,$fot(or(b1,i2)))]]) ).
cnf(refute_0_1021,plain,
( not(and(or(b1,i2),f2)) != or(i2,not(or(b1,i2)))
| not(or(b1,i2)) != and(d1,f2)
| not(and(or(b1,i2),f2)) = or(i2,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,i2),f2)),or(i2,not(or(b1,i2)))) ),[1,1],$fot(and(d1,f2))]]) ).
cnf(refute_0_1022,plain,
( not(and(or(b1,i2),f2)) != or(i2,not(or(b1,i2)))
| not(and(or(b1,i2),f2)) = or(i2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,i2)),and(d1,f2)) )],[refute_0_722,refute_0_1021]) ).
cnf(refute_0_1023,plain,
not(and(or(b1,i2),f2)) = or(i2,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),f2)),or(i2,not(or(b1,i2)))) )],[refute_0_1020,refute_0_1022]) ).
cnf(refute_0_1024,plain,
not(and(or(b1,i2),f2)) = not(and(f2,or(b1,i2))),
inference(subst,[],[refute_0_637:[bind(X_113,$fot(or(b1,i2)))]]) ).
cnf(refute_0_1025,plain,
( not(and(or(b1,i2),f2)) != not(and(f2,or(b1,i2)))
| not(and(or(b1,i2),f2)) != or(i2,and(d1,f2))
| not(and(f2,or(b1,i2))) = or(i2,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,i2),f2)),or(i2,and(d1,f2))) ),[0],$fot(not(and(f2,or(b1,i2))))]]) ).
cnf(refute_0_1026,plain,
( not(and(or(b1,i2),f2)) != or(i2,and(d1,f2))
| not(and(f2,or(b1,i2))) = or(i2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),f2)),not(and(f2,or(b1,i2)))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
not(and(f2,or(b1,i2))) = or(i2,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),f2)),or(i2,and(d1,f2))) )],[refute_0_1023,refute_0_1026]) ).
cnf(refute_0_1028,plain,
( not(and(and(f2,or(b1,i2)),i1)) != or(f1,not(and(f2,or(b1,i2))))
| not(and(f2,or(b1,i2))) != or(i2,and(d1,f2))
| not(and(and(f2,or(b1,i2)),i1)) = or(f1,or(i2,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f2,or(b1,i2)),i1)),or(f1,not(and(f2,or(b1,i2))))) ),[1,1],$fot(or(i2,and(d1,f2)))]]) ).
cnf(refute_0_1029,plain,
( not(and(and(f2,or(b1,i2)),i1)) != or(f1,not(and(f2,or(b1,i2))))
| not(and(and(f2,or(b1,i2)),i1)) = or(f1,or(i2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,i2))),or(i2,and(d1,f2))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
not(and(and(f2,or(b1,i2)),i1)) = or(f1,or(i2,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(and(f2,or(b1,i2)),i1)),or(f1,not(and(f2,or(b1,i2))))) )],[refute_0_1019,refute_0_1029]) ).
cnf(refute_0_1031,plain,
not(and(and(f2,or(b1,i2)),i1)) = not(and(i1,and(f2,or(b1,i2)))),
inference(subst,[],[refute_0_1000:[bind(X_114,$fot(and(f2,or(b1,i2))))]]) ).
cnf(refute_0_1032,plain,
( not(and(and(f2,or(b1,i2)),i1)) != not(and(i1,and(f2,or(b1,i2))))
| not(and(and(f2,or(b1,i2)),i1)) != or(f1,or(i2,and(d1,f2)))
| not(and(i1,and(f2,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f2,or(b1,i2)),i1)),or(f1,or(i2,and(d1,f2)))) ),[0],$fot(not(and(i1,and(f2,or(b1,i2)))))]]) ).
cnf(refute_0_1033,plain,
( not(and(and(f2,or(b1,i2)),i1)) != or(f1,or(i2,and(d1,f2)))
| not(and(i1,and(f2,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(and(f2,or(b1,i2)),i1)),not(and(i1,and(f2,or(b1,i2))))) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
not(and(i1,and(f2,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(and(f2,or(b1,i2)),i1)),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1030,refute_0_1033]) ).
cnf(refute_0_1035,plain,
and(i1,and(f2,or(b1,i2))) = and(i1,and(f2,or(b1,i2))),
introduced(tautology,[refl,[$fot(and(i1,and(f2,or(b1,i2))))]]) ).
cnf(refute_0_1036,plain,
( and(i1,and(f2,or(b1,i2))) != and(i1,and(f2,or(b1,i2)))
| i1 != c1
| and(i1,and(f2,or(b1,i2))) = and(c1,and(f2,or(b1,i2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,and(f2,or(b1,i2))),and(i1,and(f2,or(b1,i2)))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_1037,plain,
( i1 != c1
| and(i1,and(f2,or(b1,i2))) = and(c1,and(f2,or(b1,i2))) ),
inference(resolve,[$cnf( $equal(and(i1,and(f2,or(b1,i2))),and(i1,and(f2,or(b1,i2)))) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
and(i1,and(f2,or(b1,i2))) = and(c1,and(f2,or(b1,i2))),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_1037]) ).
cnf(refute_0_1039,plain,
not(and(i1,and(f2,or(b1,i2)))) = not(and(i1,and(f2,or(b1,i2)))),
introduced(tautology,[refl,[$fot(not(and(i1,and(f2,or(b1,i2)))))]]) ).
cnf(refute_0_1040,plain,
( and(i1,and(f2,or(b1,i2))) != and(c1,and(f2,or(b1,i2)))
| not(and(i1,and(f2,or(b1,i2)))) != not(and(i1,and(f2,or(b1,i2))))
| not(and(i1,and(f2,or(b1,i2)))) = not(and(c1,and(f2,or(b1,i2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,and(f2,or(b1,i2)))),not(and(i1,and(f2,or(b1,i2))))) ),[1,0],$fot(and(c1,and(f2,or(b1,i2))))]]) ).
cnf(refute_0_1041,plain,
( and(i1,and(f2,or(b1,i2))) != and(c1,and(f2,or(b1,i2)))
| not(and(i1,and(f2,or(b1,i2)))) = not(and(c1,and(f2,or(b1,i2)))) ),
inference(resolve,[$cnf( $equal(not(and(i1,and(f2,or(b1,i2)))),not(and(i1,and(f2,or(b1,i2))))) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
not(and(i1,and(f2,or(b1,i2)))) = not(and(c1,and(f2,or(b1,i2)))),
inference(resolve,[$cnf( $equal(and(i1,and(f2,or(b1,i2))),and(c1,and(f2,or(b1,i2)))) )],[refute_0_1038,refute_0_1041]) ).
cnf(refute_0_1043,plain,
( not(and(i1,and(f2,or(b1,i2)))) != not(and(c1,and(f2,or(b1,i2))))
| not(and(i1,and(f2,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(c1,and(f2,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,and(f2,or(b1,i2)))),or(f1,or(i2,and(d1,f2)))) ),[0],$fot(not(and(c1,and(f2,or(b1,i2)))))]]) ).
cnf(refute_0_1044,plain,
( not(and(i1,and(f2,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(c1,and(f2,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(i1,and(f2,or(b1,i2)))),not(and(c1,and(f2,or(b1,i2))))) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
not(and(c1,and(f2,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(i1,and(f2,or(b1,i2)))),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1034,refute_0_1044]) ).
cnf(refute_0_1046,plain,
not(and(and(c1,f2),Y)) = or(not(and(c1,f2)),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(and(c1,f2)))]]) ).
cnf(refute_0_1047,plain,
( not(and(and(c1,f2),Y)) != or(not(and(c1,f2)),not(Y))
| not(and(c1,f2)) != or(f1,i2)
| not(and(and(c1,f2),Y)) = or(or(f1,i2),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c1,f2),Y)),or(not(and(c1,f2)),not(Y))) ),[1,0],$fot(or(f1,i2))]]) ).
cnf(refute_0_1048,plain,
( not(and(and(c1,f2),Y)) != or(not(and(c1,f2)),not(Y))
| not(and(and(c1,f2),Y)) = or(or(f1,i2),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(c1,f2)),or(f1,i2)) )],[refute_0_704,refute_0_1047]) ).
cnf(refute_0_1049,plain,
not(and(and(c1,f2),Y)) = or(or(f1,i2),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(c1,f2),Y)),or(not(and(c1,f2)),not(Y))) )],[refute_0_1046,refute_0_1048]) ).
cnf(refute_0_1050,plain,
and(and(c1,f2),Y) = and(c1,and(f2,Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(c1)),bind(Y,$fot(f2)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1051,plain,
not(and(and(c1,f2),Y)) = not(and(and(c1,f2),Y)),
introduced(tautology,[refl,[$fot(not(and(and(c1,f2),Y)))]]) ).
cnf(refute_0_1052,plain,
( and(and(c1,f2),Y) != and(c1,and(f2,Y))
| not(and(and(c1,f2),Y)) != not(and(and(c1,f2),Y))
| not(and(and(c1,f2),Y)) = not(and(c1,and(f2,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c1,f2),Y)),not(and(and(c1,f2),Y))) ),[1,0],$fot(and(c1,and(f2,Y)))]]) ).
cnf(refute_0_1053,plain,
( and(and(c1,f2),Y) != and(c1,and(f2,Y))
| not(and(and(c1,f2),Y)) = not(and(c1,and(f2,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(c1,f2),Y)),not(and(and(c1,f2),Y))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
not(and(and(c1,f2),Y)) = not(and(c1,and(f2,Y))),
inference(resolve,[$cnf( $equal(and(and(c1,f2),Y),and(c1,and(f2,Y))) )],[refute_0_1050,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( not(and(and(c1,f2),Y)) != not(and(c1,and(f2,Y)))
| not(and(and(c1,f2),Y)) != or(or(f1,i2),not(Y))
| not(and(c1,and(f2,Y))) = or(or(f1,i2),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c1,f2),Y)),or(or(f1,i2),not(Y))) ),[0],$fot(not(and(c1,and(f2,Y))))]]) ).
cnf(refute_0_1056,plain,
( not(and(and(c1,f2),Y)) != or(or(f1,i2),not(Y))
| not(and(c1,and(f2,Y))) = or(or(f1,i2),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(c1,f2),Y)),not(and(c1,and(f2,Y)))) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
not(and(c1,Y)) = or(not(c1),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(c1))]]) ).
cnf(refute_0_1058,plain,
not(i1) = not(i1),
introduced(tautology,[refl,[$fot(not(i1))]]) ).
cnf(refute_0_1059,plain,
( i1 != c1
| not(i1) != not(i1)
| not(i1) = not(c1) ),
introduced(tautology,[equality,[$cnf( $equal(not(i1),not(i1)) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_1060,plain,
( i1 != c1
| not(i1) = not(c1) ),
inference(resolve,[$cnf( $equal(not(i1),not(i1)) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
not(i1) = not(c1),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( f1 != not(i1)
| not(i1) != not(c1)
| f1 = not(c1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(f1,not(c1)) ),[0],$fot(not(i1))]]) ).
cnf(refute_0_1063,plain,
( f1 != not(i1)
| f1 = not(c1) ),
inference(resolve,[$cnf( $equal(not(i1),not(c1)) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
f1 = not(c1),
inference(resolve,[$cnf( $equal(f1,not(i1)) )],[constructor13,refute_0_1063]) ).
cnf(refute_0_1065,plain,
( f1 != not(c1)
| not(c1) = f1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(f1)),bind(Y0,$fot(not(c1)))]]) ).
cnf(refute_0_1066,plain,
not(c1) = f1,
inference(resolve,[$cnf( $equal(f1,not(c1)) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( not(and(c1,Y)) != or(not(c1),not(Y))
| not(c1) != f1
| not(and(c1,Y)) = or(f1,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(c1,Y)),or(not(c1),not(Y))) ),[1,0],$fot(f1)]]) ).
cnf(refute_0_1068,plain,
( not(and(c1,Y)) != or(not(c1),not(Y))
| not(and(c1,Y)) = or(f1,not(Y)) ),
inference(resolve,[$cnf( $equal(not(c1),f1) )],[refute_0_1066,refute_0_1067]) ).
cnf(refute_0_1069,plain,
not(and(c1,Y)) = or(f1,not(Y)),
inference(resolve,[$cnf( $equal(not(and(c1,Y)),or(not(c1),not(Y))) )],[refute_0_1057,refute_0_1068]) ).
cnf(refute_0_1070,plain,
and(X_109,i1) = and(X_109,i1),
introduced(tautology,[refl,[$fot(and(X_109,i1))]]) ).
cnf(refute_0_1071,plain,
( and(X_109,i1) != and(X_109,i1)
| i1 != c1
| and(X_109,i1) = and(X_109,c1) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_109,i1),and(X_109,i1)) ),[1,1],$fot(c1)]]) ).
cnf(refute_0_1072,plain,
( i1 != c1
| and(X_109,i1) = and(X_109,c1) ),
inference(resolve,[$cnf( $equal(and(X_109,i1),and(X_109,i1)) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
and(X_109,i1) = and(X_109,c1),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_1072]) ).
cnf(refute_0_1074,plain,
not(and(X_109,i1)) = not(and(X_109,i1)),
introduced(tautology,[refl,[$fot(not(and(X_109,i1)))]]) ).
cnf(refute_0_1075,plain,
( and(X_109,i1) != and(X_109,c1)
| not(and(X_109,i1)) != not(and(X_109,i1))
| not(and(X_109,i1)) = not(and(X_109,c1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,i1)),not(and(X_109,i1))) ),[1,0],$fot(and(X_109,c1))]]) ).
cnf(refute_0_1076,plain,
( and(X_109,i1) != and(X_109,c1)
| not(and(X_109,i1)) = not(and(X_109,c1)) ),
inference(resolve,[$cnf( $equal(not(and(X_109,i1)),not(and(X_109,i1))) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
not(and(X_109,i1)) = not(and(X_109,c1)),
inference(resolve,[$cnf( $equal(and(X_109,i1),and(X_109,c1)) )],[refute_0_1073,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( not(and(X_109,i1)) != not(and(X_109,c1))
| not(and(X_109,i1)) != or(f1,not(X_109))
| not(and(X_109,c1)) = or(f1,not(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,i1)),or(f1,not(X_109))) ),[0],$fot(not(and(X_109,c1)))]]) ).
cnf(refute_0_1079,plain,
( not(and(X_109,i1)) != or(f1,not(X_109))
| not(and(X_109,c1)) = or(f1,not(X_109)) ),
inference(resolve,[$cnf( $equal(not(and(X_109,i1)),not(and(X_109,c1))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
not(and(X_109,c1)) = or(f1,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,i1)),or(f1,not(X_109))) )],[refute_0_190,refute_0_1079]) ).
cnf(refute_0_1081,plain,
( not(and(X_109,c1)) != or(f1,not(X_109))
| or(f1,not(X_109)) = not(and(X_109,c1)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,c1)))),bind(Y0,$fot(or(f1,not(X_109))))]]) ).
cnf(refute_0_1082,plain,
or(f1,not(X_109)) = not(and(X_109,c1)),
inference(resolve,[$cnf( $equal(not(and(X_109,c1)),or(f1,not(X_109))) )],[refute_0_1080,refute_0_1081]) ).
cnf(refute_0_1083,plain,
or(f1,not(Y)) = not(and(Y,c1)),
inference(subst,[],[refute_0_1082:[bind(X_109,$fot(Y))]]) ).
cnf(refute_0_1084,plain,
( not(and(c1,Y)) != or(f1,not(Y))
| or(f1,not(Y)) != not(and(Y,c1))
| not(and(c1,Y)) = not(and(Y,c1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(c1,Y)),not(and(Y,c1))) ),[0],$fot(or(f1,not(Y)))]]) ).
cnf(refute_0_1085,plain,
( not(and(c1,Y)) != or(f1,not(Y))
| not(and(c1,Y)) = not(and(Y,c1)) ),
inference(resolve,[$cnf( $equal(or(f1,not(Y)),not(and(Y,c1))) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
not(and(c1,Y)) = not(and(Y,c1)),
inference(resolve,[$cnf( $equal(not(and(c1,Y)),or(f1,not(Y))) )],[refute_0_1069,refute_0_1085]) ).
cnf(refute_0_1087,plain,
( not(and(c1,Y)) != not(and(Y,c1))
| not(and(Y,c1)) = not(and(c1,Y)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(c1,Y)))),bind(Y0,$fot(not(and(Y,c1))))]]) ).
cnf(refute_0_1088,plain,
not(and(Y,c1)) = not(and(c1,Y)),
inference(resolve,[$cnf( $equal(not(and(c1,Y)),not(and(Y,c1))) )],[refute_0_1086,refute_0_1087]) ).
cnf(refute_0_1089,plain,
not(and(and(Y,f2),c1)) = not(and(c1,and(Y,f2))),
inference(subst,[],[refute_0_1088:[bind(Y,$fot(and(Y,f2)))]]) ).
cnf(refute_0_1090,plain,
or(f1,not(and(Y,f2))) = not(and(and(Y,f2),c1)),
inference(subst,[],[refute_0_1082:[bind(X_109,$fot(and(Y,f2)))]]) ).
cnf(refute_0_1091,plain,
( not(and(and(Y,f2),c1)) != not(and(c1,and(Y,f2)))
| or(f1,not(and(Y,f2))) != not(and(and(Y,f2),c1))
| or(f1,not(and(Y,f2))) = not(and(c1,and(Y,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,not(and(Y,f2))))),bind(Y0,$fot(not(and(and(Y,f2),c1)))),bind(Z0,$fot(not(and(c1,and(Y,f2)))))]]) ).
cnf(refute_0_1092,plain,
( not(and(and(Y,f2),c1)) != not(and(c1,and(Y,f2)))
| or(f1,not(and(Y,f2))) = not(and(c1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,not(and(Y,f2))),not(and(and(Y,f2),c1))) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
or(f1,not(and(Y,f2))) = not(and(c1,and(Y,f2))),
inference(resolve,[$cnf( $equal(not(and(and(Y,f2),c1)),not(and(c1,and(Y,f2)))) )],[refute_0_1089,refute_0_1092]) ).
cnf(refute_0_1094,plain,
or(i2,not(Y)) = not(and(Y,f2)),
inference(subst,[],[refute_0_631:[bind(X_109,$fot(Y))]]) ).
cnf(refute_0_1095,plain,
or(f1,or(i2,not(Y))) = or(f1,or(i2,not(Y))),
introduced(tautology,[refl,[$fot(or(f1,or(i2,not(Y))))]]) ).
cnf(refute_0_1096,plain,
( or(f1,or(i2,not(Y))) != or(f1,or(i2,not(Y)))
| or(i2,not(Y)) != not(and(Y,f2))
| or(f1,or(i2,not(Y))) = or(f1,not(and(Y,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(i2,not(Y))),or(f1,or(i2,not(Y)))) ),[1,1],$fot(not(and(Y,f2)))]]) ).
cnf(refute_0_1097,plain,
( or(i2,not(Y)) != not(and(Y,f2))
| or(f1,or(i2,not(Y))) = or(f1,not(and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(i2,not(Y))),or(f1,or(i2,not(Y)))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
or(f1,or(i2,not(Y))) = or(f1,not(and(Y,f2))),
inference(resolve,[$cnf( $equal(or(i2,not(Y)),not(and(Y,f2))) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( or(f1,not(and(Y,f2))) != not(and(c1,and(Y,f2)))
| or(f1,or(i2,not(Y))) != or(f1,not(and(Y,f2)))
| or(f1,or(i2,not(Y))) = not(and(c1,and(Y,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,or(i2,not(Y))))),bind(Y0,$fot(or(f1,not(and(Y,f2))))),bind(Z0,$fot(not(and(c1,and(Y,f2)))))]]) ).
cnf(refute_0_1100,plain,
( or(f1,not(and(Y,f2))) != not(and(c1,and(Y,f2)))
| or(f1,or(i2,not(Y))) = not(and(c1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(i2,not(Y))),or(f1,not(and(Y,f2)))) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
or(f1,or(i2,not(Y))) = not(and(c1,and(Y,f2))),
inference(resolve,[$cnf( $equal(or(f1,not(and(Y,f2))),not(and(c1,and(Y,f2)))) )],[refute_0_1093,refute_0_1100]) ).
cnf(refute_0_1102,plain,
or(or(f1,i2),not(Y)) = or(f1,or(i2,not(Y))),
inference(subst,[],[refute_0_65:[bind(X,$fot(f1)),bind(Y,$fot(i2)),bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_1103,plain,
( or(f1,or(i2,not(Y))) != not(and(c1,and(Y,f2)))
| or(or(f1,i2),not(Y)) != or(f1,or(i2,not(Y)))
| or(or(f1,i2),not(Y)) = not(and(c1,and(Y,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(f1,i2),not(Y)))),bind(Y0,$fot(or(f1,or(i2,not(Y))))),bind(Z0,$fot(not(and(c1,and(Y,f2)))))]]) ).
cnf(refute_0_1104,plain,
( or(f1,or(i2,not(Y))) != not(and(c1,and(Y,f2)))
| or(or(f1,i2),not(Y)) = not(and(c1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(or(f1,i2),not(Y)),or(f1,or(i2,not(Y)))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
or(or(f1,i2),not(Y)) = not(and(c1,and(Y,f2))),
inference(resolve,[$cnf( $equal(or(f1,or(i2,not(Y))),not(and(c1,and(Y,f2)))) )],[refute_0_1101,refute_0_1104]) ).
cnf(refute_0_1106,plain,
( not(and(c1,and(f2,Y))) != or(or(f1,i2),not(Y))
| or(or(f1,i2),not(Y)) != not(and(c1,and(Y,f2)))
| not(and(c1,and(f2,Y))) = not(and(c1,and(Y,f2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(c1,and(f2,Y))),not(and(c1,and(Y,f2)))) ),[0],$fot(or(or(f1,i2),not(Y)))]]) ).
cnf(refute_0_1107,plain,
( not(and(c1,and(f2,Y))) != or(or(f1,i2),not(Y))
| not(and(c1,and(f2,Y))) = not(and(c1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(or(f1,i2),not(Y)),not(and(c1,and(Y,f2)))) )],[refute_0_1105,refute_0_1106]) ).
cnf(refute_0_1108,plain,
( not(and(and(c1,f2),Y)) != or(or(f1,i2),not(Y))
| not(and(c1,and(f2,Y))) = not(and(c1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,Y))),or(or(f1,i2),not(Y))) )],[refute_0_1056,refute_0_1107]) ).
cnf(refute_0_1109,plain,
not(and(c1,and(f2,Y))) = not(and(c1,and(Y,f2))),
inference(resolve,[$cnf( $equal(not(and(and(c1,f2),Y)),or(or(f1,i2),not(Y))) )],[refute_0_1049,refute_0_1108]) ).
cnf(refute_0_1110,plain,
( not(and(c1,and(f2,Y))) != not(and(c1,and(Y,f2)))
| not(and(c1,and(Y,f2))) = not(and(c1,and(f2,Y))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(c1,and(f2,Y))))),bind(Y0,$fot(not(and(c1,and(Y,f2)))))]]) ).
cnf(refute_0_1111,plain,
not(and(c1,and(Y,f2))) = not(and(c1,and(f2,Y))),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,Y))),not(and(c1,and(Y,f2)))) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
not(and(c1,and(or(b1,i2),f2))) = not(and(c1,and(f2,or(b1,i2)))),
inference(subst,[],[refute_0_1111:[bind(Y,$fot(or(b1,i2)))]]) ).
cnf(refute_0_1113,plain,
( not(and(c1,and(f2,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(c1,and(or(b1,i2),f2))) != not(and(c1,and(f2,or(b1,i2))))
| not(and(c1,and(or(b1,i2),f2))) = or(f1,or(i2,and(d1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(c1,and(or(b1,i2),f2))))),bind(Y0,$fot(not(and(c1,and(f2,or(b1,i2)))))),bind(Z0,$fot(or(f1,or(i2,and(d1,f2)))))]]) ).
cnf(refute_0_1114,plain,
( not(and(c1,and(f2,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(c1,and(or(b1,i2),f2))) = or(f1,or(i2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(c1,and(or(b1,i2),f2))),not(and(c1,and(f2,or(b1,i2))))) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
not(and(c1,and(or(b1,i2),f2))) = or(f1,or(i2,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,i2)))),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1045,refute_0_1114]) ).
cnf(refute_0_1116,plain,
not(and(and(f2,i1),Y)) = or(not(and(f2,i1)),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(and(f2,i1)))]]) ).
cnf(refute_0_1117,plain,
( not(and(and(f2,i1),Y)) != or(not(and(f2,i1)),not(Y))
| not(and(f2,i1)) != or(f1,i2)
| not(and(and(f2,i1),Y)) = or(or(f1,i2),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f2,i1),Y)),or(not(and(f2,i1)),not(Y))) ),[1,0],$fot(or(f1,i2))]]) ).
cnf(refute_0_1118,plain,
( not(and(and(f2,i1),Y)) != or(not(and(f2,i1)),not(Y))
| not(and(and(f2,i1),Y)) = or(or(f1,i2),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(f2,i1)),or(f1,i2)) )],[refute_0_645,refute_0_1117]) ).
cnf(refute_0_1119,plain,
not(and(and(f2,i1),Y)) = or(or(f1,i2),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(f2,i1),Y)),or(not(and(f2,i1)),not(Y))) )],[refute_0_1116,refute_0_1118]) ).
cnf(refute_0_1120,plain,
and(and(f2,i1),Y) = and(f2,and(i1,Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(f2)),bind(Y,$fot(i1)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1121,plain,
not(and(and(f2,i1),Y)) = not(and(and(f2,i1),Y)),
introduced(tautology,[refl,[$fot(not(and(and(f2,i1),Y)))]]) ).
cnf(refute_0_1122,plain,
( and(and(f2,i1),Y) != and(f2,and(i1,Y))
| not(and(and(f2,i1),Y)) != not(and(and(f2,i1),Y))
| not(and(and(f2,i1),Y)) = not(and(f2,and(i1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f2,i1),Y)),not(and(and(f2,i1),Y))) ),[1,0],$fot(and(f2,and(i1,Y)))]]) ).
cnf(refute_0_1123,plain,
( and(and(f2,i1),Y) != and(f2,and(i1,Y))
| not(and(and(f2,i1),Y)) = not(and(f2,and(i1,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(f2,i1),Y)),not(and(and(f2,i1),Y))) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
not(and(and(f2,i1),Y)) = not(and(f2,and(i1,Y))),
inference(resolve,[$cnf( $equal(and(and(f2,i1),Y),and(f2,and(i1,Y))) )],[refute_0_1120,refute_0_1123]) ).
cnf(refute_0_1125,plain,
( not(and(and(f2,i1),Y)) != not(and(f2,and(i1,Y)))
| not(and(and(f2,i1),Y)) != or(or(f1,i2),not(Y))
| not(and(f2,and(i1,Y))) = or(or(f1,i2),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f2,i1),Y)),or(or(f1,i2),not(Y))) ),[0],$fot(not(and(f2,and(i1,Y))))]]) ).
cnf(refute_0_1126,plain,
( not(and(and(f2,i1),Y)) != or(or(f1,i2),not(Y))
| not(and(f2,and(i1,Y))) = or(or(f1,i2),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(f2,i1),Y)),not(and(f2,and(i1,Y)))) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
or(not(X_110),not(X_109)) = or(not(X_109),not(X_110)),
inference(subst,[],[or_commutativity:[bind(X,$fot(not(X_110))),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_1128,plain,
not(and(X_109,X_110)) = or(not(X_109),not(X_110)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(X_110))]]) ).
cnf(refute_0_1129,plain,
( not(and(X_109,X_110)) != or(not(X_109),not(X_110))
| or(not(X_109),not(X_110)) = not(and(X_109,X_110)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,X_110)))),bind(Y0,$fot(or(not(X_109),not(X_110))))]]) ).
cnf(refute_0_1130,plain,
or(not(X_109),not(X_110)) = not(and(X_109,X_110)),
inference(resolve,[$cnf( $equal(not(and(X_109,X_110)),or(not(X_109),not(X_110))) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
( or(not(X_109),not(X_110)) != not(and(X_109,X_110))
| or(not(X_110),not(X_109)) != or(not(X_109),not(X_110))
| or(not(X_110),not(X_109)) = not(and(X_109,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(X_110),not(X_109)),or(not(X_109),not(X_110))) ),[1],$fot(not(and(X_109,X_110)))]]) ).
cnf(refute_0_1132,plain,
( or(not(X_110),not(X_109)) != or(not(X_109),not(X_110))
| or(not(X_110),not(X_109)) = not(and(X_109,X_110)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),not(X_110)),not(and(X_109,X_110))) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
or(not(X_110),not(X_109)) = not(and(X_109,X_110)),
inference(resolve,[$cnf( $equal(or(not(X_110),not(X_109)),or(not(X_109),not(X_110))) )],[refute_0_1127,refute_0_1132]) ).
cnf(refute_0_1134,plain,
( not(and(X,Y)) != or(not(X),not(Y))
| or(not(X),not(Y)) = not(and(X,Y)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X,Y)))),bind(Y0,$fot(or(not(X),not(Y))))]]) ).
cnf(refute_0_1135,plain,
or(not(X),not(Y)) = not(and(X,Y)),
inference(resolve,[$cnf( $equal(not(and(X,Y)),or(not(X),not(Y))) )],[not_canonicalization1,refute_0_1134]) ).
cnf(refute_0_1136,plain,
or(not(X_110),not(X_109)) = not(and(X_110,X_109)),
inference(subst,[],[refute_0_1135:[bind(X,$fot(X_110)),bind(Y,$fot(X_109))]]) ).
cnf(refute_0_1137,plain,
( or(not(X_110),not(X_109)) != not(and(X_109,X_110))
| or(not(X_110),not(X_109)) != not(and(X_110,X_109))
| not(and(X_110,X_109)) = not(and(X_109,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(X_110),not(X_109)),not(and(X_109,X_110))) ),[0],$fot(not(and(X_110,X_109)))]]) ).
cnf(refute_0_1138,plain,
( or(not(X_110),not(X_109)) != not(and(X_109,X_110))
| not(and(X_110,X_109)) = not(and(X_109,X_110)) ),
inference(resolve,[$cnf( $equal(or(not(X_110),not(X_109)),not(and(X_110,X_109))) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
not(and(X_110,X_109)) = not(and(X_109,X_110)),
inference(resolve,[$cnf( $equal(or(not(X_110),not(X_109)),not(and(X_109,X_110))) )],[refute_0_1133,refute_0_1138]) ).
cnf(refute_0_1140,plain,
( not(and(X_110,X_109)) != not(and(X_109,X_110))
| not(and(X_109,X_110)) = not(and(X_110,X_109)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_110,X_109)))),bind(Y0,$fot(not(and(X_109,X_110))))]]) ).
cnf(refute_0_1141,plain,
not(and(X_109,X_110)) = not(and(X_110,X_109)),
inference(resolve,[$cnf( $equal(not(and(X_110,X_109)),not(and(X_109,X_110))) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
not(and(and(Y,f2),i1)) = not(and(i1,and(Y,f2))),
inference(subst,[],[refute_0_1141:[bind(X_109,$fot(and(Y,f2))),bind(X_110,$fot(i1))]]) ).
cnf(refute_0_1143,plain,
or(f1,not(and(Y,f2))) = not(and(and(Y,f2),i1)),
inference(subst,[],[refute_0_994:[bind(X_109,$fot(and(Y,f2)))]]) ).
cnf(refute_0_1144,plain,
( not(and(and(Y,f2),i1)) != not(and(i1,and(Y,f2)))
| or(f1,not(and(Y,f2))) != not(and(and(Y,f2),i1))
| or(f1,not(and(Y,f2))) = not(and(i1,and(Y,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,not(and(Y,f2))))),bind(Y0,$fot(not(and(and(Y,f2),i1)))),bind(Z0,$fot(not(and(i1,and(Y,f2)))))]]) ).
cnf(refute_0_1145,plain,
( not(and(and(Y,f2),i1)) != not(and(i1,and(Y,f2)))
| or(f1,not(and(Y,f2))) = not(and(i1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,not(and(Y,f2))),not(and(and(Y,f2),i1))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
or(f1,not(and(Y,f2))) = not(and(i1,and(Y,f2))),
inference(resolve,[$cnf( $equal(not(and(and(Y,f2),i1)),not(and(i1,and(Y,f2)))) )],[refute_0_1142,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( or(f1,not(and(Y,f2))) != not(and(i1,and(Y,f2)))
| or(f1,or(i2,not(Y))) != or(f1,not(and(Y,f2)))
| or(f1,or(i2,not(Y))) = not(and(i1,and(Y,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,or(i2,not(Y))))),bind(Y0,$fot(or(f1,not(and(Y,f2))))),bind(Z0,$fot(not(and(i1,and(Y,f2)))))]]) ).
cnf(refute_0_1148,plain,
( or(f1,not(and(Y,f2))) != not(and(i1,and(Y,f2)))
| or(f1,or(i2,not(Y))) = not(and(i1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(i2,not(Y))),or(f1,not(and(Y,f2)))) )],[refute_0_1098,refute_0_1147]) ).
cnf(refute_0_1149,plain,
or(f1,or(i2,not(Y))) = not(and(i1,and(Y,f2))),
inference(resolve,[$cnf( $equal(or(f1,not(and(Y,f2))),not(and(i1,and(Y,f2)))) )],[refute_0_1146,refute_0_1148]) ).
cnf(refute_0_1150,plain,
( or(f1,or(i2,not(Y))) != not(and(i1,and(Y,f2)))
| or(or(f1,i2),not(Y)) != or(f1,or(i2,not(Y)))
| or(or(f1,i2),not(Y)) = not(and(i1,and(Y,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(f1,i2),not(Y)))),bind(Y0,$fot(or(f1,or(i2,not(Y))))),bind(Z0,$fot(not(and(i1,and(Y,f2)))))]]) ).
cnf(refute_0_1151,plain,
( or(f1,or(i2,not(Y))) != not(and(i1,and(Y,f2)))
| or(or(f1,i2),not(Y)) = not(and(i1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(or(f1,i2),not(Y)),or(f1,or(i2,not(Y)))) )],[refute_0_1102,refute_0_1150]) ).
cnf(refute_0_1152,plain,
or(or(f1,i2),not(Y)) = not(and(i1,and(Y,f2))),
inference(resolve,[$cnf( $equal(or(f1,or(i2,not(Y))),not(and(i1,and(Y,f2)))) )],[refute_0_1149,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( not(and(f2,and(i1,Y))) != or(or(f1,i2),not(Y))
| or(or(f1,i2),not(Y)) != not(and(i1,and(Y,f2)))
| not(and(f2,and(i1,Y))) = not(and(i1,and(Y,f2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f2,and(i1,Y))),not(and(i1,and(Y,f2)))) ),[0],$fot(or(or(f1,i2),not(Y)))]]) ).
cnf(refute_0_1154,plain,
( not(and(f2,and(i1,Y))) != or(or(f1,i2),not(Y))
| not(and(f2,and(i1,Y))) = not(and(i1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(or(or(f1,i2),not(Y)),not(and(i1,and(Y,f2)))) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
( not(and(and(f2,i1),Y)) != or(or(f1,i2),not(Y))
| not(and(f2,and(i1,Y))) = not(and(i1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(not(and(f2,and(i1,Y))),or(or(f1,i2),not(Y))) )],[refute_0_1126,refute_0_1154]) ).
cnf(refute_0_1156,plain,
not(and(f2,and(i1,Y))) = not(and(i1,and(Y,f2))),
inference(resolve,[$cnf( $equal(not(and(and(f2,i1),Y)),or(or(f1,i2),not(Y))) )],[refute_0_1119,refute_0_1155]) ).
cnf(refute_0_1157,plain,
and(i1,Y) = and(i1,Y),
introduced(tautology,[refl,[$fot(and(i1,Y))]]) ).
cnf(refute_0_1158,plain,
( and(i1,Y) != and(i1,Y)
| i1 != c1
| and(i1,Y) = and(c1,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,Y),and(i1,Y)) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_1159,plain,
( i1 != c1
| and(i1,Y) = and(c1,Y) ),
inference(resolve,[$cnf( $equal(and(i1,Y),and(i1,Y)) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
and(i1,Y) = and(c1,Y),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_1159]) ).
cnf(refute_0_1161,plain,
and(f2,and(i1,Y)) = and(f2,and(i1,Y)),
introduced(tautology,[refl,[$fot(and(f2,and(i1,Y)))]]) ).
cnf(refute_0_1162,plain,
( and(f2,and(i1,Y)) != and(f2,and(i1,Y))
| and(i1,Y) != and(c1,Y)
| and(f2,and(i1,Y)) = and(f2,and(c1,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,and(i1,Y)),and(f2,and(i1,Y))) ),[1,1],$fot(and(c1,Y))]]) ).
cnf(refute_0_1163,plain,
( and(i1,Y) != and(c1,Y)
| and(f2,and(i1,Y)) = and(f2,and(c1,Y)) ),
inference(resolve,[$cnf( $equal(and(f2,and(i1,Y)),and(f2,and(i1,Y))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
and(f2,and(i1,Y)) = and(f2,and(c1,Y)),
inference(resolve,[$cnf( $equal(and(i1,Y),and(c1,Y)) )],[refute_0_1160,refute_0_1163]) ).
cnf(refute_0_1165,plain,
not(and(f2,and(i1,Y))) = not(and(f2,and(i1,Y))),
introduced(tautology,[refl,[$fot(not(and(f2,and(i1,Y))))]]) ).
cnf(refute_0_1166,plain,
( and(f2,and(i1,Y)) != and(f2,and(c1,Y))
| not(and(f2,and(i1,Y))) != not(and(f2,and(i1,Y)))
| not(and(f2,and(i1,Y))) = not(and(f2,and(c1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,and(i1,Y))),not(and(f2,and(i1,Y)))) ),[1,0],$fot(and(f2,and(c1,Y)))]]) ).
cnf(refute_0_1167,plain,
( and(f2,and(i1,Y)) != and(f2,and(c1,Y))
| not(and(f2,and(i1,Y))) = not(and(f2,and(c1,Y))) ),
inference(resolve,[$cnf( $equal(not(and(f2,and(i1,Y))),not(and(f2,and(i1,Y)))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
not(and(f2,and(i1,Y))) = not(and(f2,and(c1,Y))),
inference(resolve,[$cnf( $equal(and(f2,and(i1,Y)),and(f2,and(c1,Y))) )],[refute_0_1164,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( not(and(f2,and(i1,Y))) != not(and(f2,and(c1,Y)))
| not(and(f2,and(i1,Y))) != not(and(i1,and(Y,f2)))
| not(and(f2,and(c1,Y))) = not(and(i1,and(Y,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,and(i1,Y))),not(and(i1,and(Y,f2)))) ),[0],$fot(not(and(f2,and(c1,Y))))]]) ).
cnf(refute_0_1170,plain,
( not(and(f2,and(i1,Y))) != not(and(i1,and(Y,f2)))
| not(and(f2,and(c1,Y))) = not(and(i1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(not(and(f2,and(i1,Y))),not(and(f2,and(c1,Y)))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
and(i1,and(Y,f2)) = and(i1,and(Y,f2)),
introduced(tautology,[refl,[$fot(and(i1,and(Y,f2)))]]) ).
cnf(refute_0_1172,plain,
( and(i1,and(Y,f2)) != and(i1,and(Y,f2))
| i1 != c1
| and(i1,and(Y,f2)) = and(c1,and(Y,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,and(Y,f2)),and(i1,and(Y,f2))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_1173,plain,
( i1 != c1
| and(i1,and(Y,f2)) = and(c1,and(Y,f2)) ),
inference(resolve,[$cnf( $equal(and(i1,and(Y,f2)),and(i1,and(Y,f2))) )],[refute_0_1171,refute_0_1172]) ).
cnf(refute_0_1174,plain,
and(i1,and(Y,f2)) = and(c1,and(Y,f2)),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_1173]) ).
cnf(refute_0_1175,plain,
not(and(i1,and(Y,f2))) = not(and(i1,and(Y,f2))),
introduced(tautology,[refl,[$fot(not(and(i1,and(Y,f2))))]]) ).
cnf(refute_0_1176,plain,
( and(i1,and(Y,f2)) != and(c1,and(Y,f2))
| not(and(i1,and(Y,f2))) != not(and(i1,and(Y,f2)))
| not(and(i1,and(Y,f2))) = not(and(c1,and(Y,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,and(Y,f2))),not(and(i1,and(Y,f2)))) ),[1,0],$fot(and(c1,and(Y,f2)))]]) ).
cnf(refute_0_1177,plain,
( and(i1,and(Y,f2)) != and(c1,and(Y,f2))
| not(and(i1,and(Y,f2))) = not(and(c1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(not(and(i1,and(Y,f2))),not(and(i1,and(Y,f2)))) )],[refute_0_1175,refute_0_1176]) ).
cnf(refute_0_1178,plain,
not(and(i1,and(Y,f2))) = not(and(c1,and(Y,f2))),
inference(resolve,[$cnf( $equal(and(i1,and(Y,f2)),and(c1,and(Y,f2))) )],[refute_0_1174,refute_0_1177]) ).
cnf(refute_0_1179,plain,
( not(and(f2,and(c1,Y))) != not(and(i1,and(Y,f2)))
| not(and(i1,and(Y,f2))) != not(and(c1,and(Y,f2)))
| not(and(f2,and(c1,Y))) = not(and(c1,and(Y,f2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f2,and(c1,Y))),not(and(c1,and(Y,f2)))) ),[0],$fot(not(and(i1,and(Y,f2))))]]) ).
cnf(refute_0_1180,plain,
( not(and(f2,and(c1,Y))) != not(and(i1,and(Y,f2)))
| not(and(f2,and(c1,Y))) = not(and(c1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(not(and(i1,and(Y,f2))),not(and(c1,and(Y,f2)))) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
( not(and(f2,and(i1,Y))) != not(and(i1,and(Y,f2)))
| not(and(f2,and(c1,Y))) = not(and(c1,and(Y,f2))) ),
inference(resolve,[$cnf( $equal(not(and(f2,and(c1,Y))),not(and(i1,and(Y,f2)))) )],[refute_0_1170,refute_0_1180]) ).
cnf(refute_0_1182,plain,
not(and(f2,and(c1,Y))) = not(and(c1,and(Y,f2))),
inference(resolve,[$cnf( $equal(not(and(f2,and(i1,Y))),not(and(i1,and(Y,f2)))) )],[refute_0_1156,refute_0_1181]) ).
cnf(refute_0_1183,plain,
not(and(f2,and(c1,or(b1,i2)))) = not(and(c1,and(or(b1,i2),f2))),
inference(subst,[],[refute_0_1182:[bind(Y,$fot(or(b1,i2)))]]) ).
cnf(refute_0_1184,plain,
( not(and(c1,and(or(b1,i2),f2))) != or(f1,or(i2,and(d1,f2)))
| not(and(f2,and(c1,or(b1,i2)))) != not(and(c1,and(or(b1,i2),f2)))
| not(and(f2,and(c1,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(f2,and(c1,or(b1,i2)))))),bind(Y0,$fot(not(and(c1,and(or(b1,i2),f2))))),bind(Z0,$fot(or(f1,or(i2,and(d1,f2)))))]]) ).
cnf(refute_0_1185,plain,
( not(and(c1,and(or(b1,i2),f2))) != or(f1,or(i2,and(d1,f2)))
| not(and(f2,and(c1,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(f2,and(c1,or(b1,i2)))),not(and(c1,and(or(b1,i2),f2)))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
not(and(f2,and(c1,or(b1,i2)))) = or(f1,or(i2,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(c1,and(or(b1,i2),f2))),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1115,refute_0_1185]) ).
cnf(refute_0_1187,plain,
not(and(and(c1,or(b1,i2)),f2)) = not(and(f2,and(c1,or(b1,i2)))),
inference(subst,[],[refute_0_637:[bind(X_113,$fot(and(c1,or(b1,i2))))]]) ).
cnf(refute_0_1188,plain,
( not(and(and(c1,or(b1,i2)),f2)) != not(and(f2,and(c1,or(b1,i2))))
| not(and(f2,and(c1,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(and(c1,or(b1,i2)),f2)) = or(f1,or(i2,and(d1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(c1,or(b1,i2)),f2)))),bind(Y0,$fot(not(and(f2,and(c1,or(b1,i2)))))),bind(Z0,$fot(or(f1,or(i2,and(d1,f2)))))]]) ).
cnf(refute_0_1189,plain,
( not(and(f2,and(c1,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(and(c1,or(b1,i2)),f2)) = or(f1,or(i2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(and(c1,or(b1,i2)),f2)),not(and(f2,and(c1,or(b1,i2))))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
not(and(and(c1,or(b1,i2)),f2)) = or(f1,or(i2,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(f2,and(c1,or(b1,i2)))),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1186,refute_0_1189]) ).
cnf(refute_0_1191,plain,
( not(and(and(c1,or(b1,i2)),f2)) != or(f1,or(i2,and(d1,f2)))
| not(and(and(c1,or(b1,i2)),f2)) != or(i2,or(f1,and(d1,f2)))
| or(f1,or(i2,and(d1,f2))) = or(i2,or(f1,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c1,or(b1,i2)),f2)),or(i2,or(f1,and(d1,f2)))) ),[0],$fot(or(f1,or(i2,and(d1,f2))))]]) ).
cnf(refute_0_1192,plain,
( not(and(and(c1,or(b1,i2)),f2)) != or(i2,or(f1,and(d1,f2)))
| or(f1,or(i2,and(d1,f2))) = or(i2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(and(c1,or(b1,i2)),f2)),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
or(f1,or(i2,and(d1,f2))) = or(i2,or(f1,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(and(c1,or(b1,i2)),f2)),or(i2,or(f1,and(d1,f2)))) )],[refute_0_1018,refute_0_1192]) ).
cnf(refute_0_1194,plain,
or(i2,and(d1,f2)) = or(i2,and(d1,f2)),
introduced(tautology,[refl,[$fot(or(i2,and(d1,f2)))]]) ).
cnf(refute_0_1195,plain,
( i2 != c2
| or(i2,and(d1,f2)) != or(i2,and(d1,f2))
| or(i2,and(d1,f2)) = or(c2,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(i2,and(d1,f2)),or(i2,and(d1,f2))) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_1196,plain,
( i2 != c2
| or(i2,and(d1,f2)) = or(c2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(or(i2,and(d1,f2)),or(i2,and(d1,f2))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
or(i2,and(d1,f2)) = or(c2,and(d1,f2)),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_1196]) ).
cnf(refute_0_1198,plain,
or(f1,or(i2,and(d1,f2))) = or(f1,or(i2,and(d1,f2))),
introduced(tautology,[refl,[$fot(or(f1,or(i2,and(d1,f2))))]]) ).
cnf(refute_0_1199,plain,
( or(f1,or(i2,and(d1,f2))) != or(f1,or(i2,and(d1,f2)))
| or(i2,and(d1,f2)) != or(c2,and(d1,f2))
| or(f1,or(i2,and(d1,f2))) = or(f1,or(c2,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(i2,and(d1,f2))),or(f1,or(i2,and(d1,f2)))) ),[1,1],$fot(or(c2,and(d1,f2)))]]) ).
cnf(refute_0_1200,plain,
( or(i2,and(d1,f2)) != or(c2,and(d1,f2))
| or(f1,or(i2,and(d1,f2))) = or(f1,or(c2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(i2,and(d1,f2))),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
or(f1,or(i2,and(d1,f2))) = or(f1,or(c2,and(d1,f2))),
inference(resolve,[$cnf( $equal(or(i2,and(d1,f2)),or(c2,and(d1,f2))) )],[refute_0_1197,refute_0_1200]) ).
cnf(refute_0_1202,plain,
( or(f1,or(i2,and(d1,f2))) != or(f1,or(c2,and(d1,f2)))
| or(f1,or(i2,and(d1,f2))) != or(i2,or(f1,and(d1,f2)))
| or(f1,or(c2,and(d1,f2))) = or(i2,or(f1,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(i2,and(d1,f2))),or(i2,or(f1,and(d1,f2)))) ),[0],$fot(or(f1,or(c2,and(d1,f2))))]]) ).
cnf(refute_0_1203,plain,
( or(f1,or(i2,and(d1,f2))) != or(i2,or(f1,and(d1,f2)))
| or(f1,or(c2,and(d1,f2))) = or(i2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(i2,and(d1,f2))),or(f1,or(c2,and(d1,f2)))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
or(i2,or(f1,and(d1,f2))) = or(i2,or(f1,and(d1,f2))),
introduced(tautology,[refl,[$fot(or(i2,or(f1,and(d1,f2))))]]) ).
cnf(refute_0_1205,plain,
( i2 != c2
| or(i2,or(f1,and(d1,f2))) != or(i2,or(f1,and(d1,f2)))
| or(i2,or(f1,and(d1,f2))) = or(c2,or(f1,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(i2,or(f1,and(d1,f2))),or(i2,or(f1,and(d1,f2)))) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_1206,plain,
( i2 != c2
| or(i2,or(f1,and(d1,f2))) = or(c2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(or(i2,or(f1,and(d1,f2))),or(i2,or(f1,and(d1,f2)))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
or(i2,or(f1,and(d1,f2))) = or(c2,or(f1,and(d1,f2))),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_1206]) ).
cnf(refute_0_1208,plain,
( or(f1,or(c2,and(d1,f2))) != or(i2,or(f1,and(d1,f2)))
| or(i2,or(f1,and(d1,f2))) != or(c2,or(f1,and(d1,f2)))
| or(f1,or(c2,and(d1,f2))) = or(c2,or(f1,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(f1,or(c2,and(d1,f2))),or(c2,or(f1,and(d1,f2)))) ),[0],$fot(or(i2,or(f1,and(d1,f2))))]]) ).
cnf(refute_0_1209,plain,
( or(f1,or(c2,and(d1,f2))) != or(i2,or(f1,and(d1,f2)))
| or(f1,or(c2,and(d1,f2))) = or(c2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(or(i2,or(f1,and(d1,f2))),or(c2,or(f1,and(d1,f2)))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
( or(f1,or(i2,and(d1,f2))) != or(i2,or(f1,and(d1,f2)))
| or(f1,or(c2,and(d1,f2))) = or(c2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(c2,and(d1,f2))),or(i2,or(f1,and(d1,f2)))) )],[refute_0_1203,refute_0_1209]) ).
cnf(refute_0_1211,plain,
or(f1,or(c2,and(d1,f2))) = or(c2,or(f1,and(d1,f2))),
inference(resolve,[$cnf( $equal(or(f1,or(i2,and(d1,f2))),or(i2,or(f1,and(d1,f2)))) )],[refute_0_1193,refute_0_1210]) ).
cnf(refute_0_1212,plain,
not(and(and(b1,i1),f2)) = or(i2,not(and(b1,i1))),
inference(subst,[],[refute_0_555:[bind(X_109,$fot(and(b1,i1)))]]) ).
cnf(refute_0_1213,plain,
( not(and(and(b1,i1),f2)) != or(i2,not(and(b1,i1)))
| not(and(b1,i1)) != not(d3)
| not(and(and(b1,i1),f2)) = or(i2,not(d3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,i1),f2)),or(i2,not(and(b1,i1)))) ),[1,1],$fot(not(d3))]]) ).
cnf(refute_0_1214,plain,
( not(and(and(b1,i1),f2)) != or(i2,not(and(b1,i1)))
| not(and(and(b1,i1),f2)) = or(i2,not(d3)) ),
inference(resolve,[$cnf( $equal(not(and(b1,i1)),not(d3)) )],[refute_0_270,refute_0_1213]) ).
cnf(refute_0_1215,plain,
not(and(and(b1,i1),f2)) = or(i2,not(d3)),
inference(resolve,[$cnf( $equal(not(and(and(b1,i1),f2)),or(i2,not(and(b1,i1)))) )],[refute_0_1212,refute_0_1214]) ).
cnf(refute_0_1216,plain,
not(and(and(b1,f2),i1)) = or(f1,not(and(b1,f2))),
inference(subst,[],[refute_0_190:[bind(X_109,$fot(and(b1,f2)))]]) ).
cnf(refute_0_1217,plain,
not(and(b1,f2)) = or(i2,not(b1)),
inference(subst,[],[refute_0_555:[bind(X_109,$fot(b1))]]) ).
cnf(refute_0_1218,plain,
( not(and(b1,f2)) != or(i2,not(b1))
| not(b1) != d1
| not(and(b1,f2)) = or(i2,d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,f2)),or(i2,not(b1))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_1219,plain,
( not(and(b1,f2)) != or(i2,not(b1))
| not(and(b1,f2)) = or(i2,d1) ),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_1218]) ).
cnf(refute_0_1220,plain,
not(and(b1,f2)) = or(i2,d1),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),or(i2,not(b1))) )],[refute_0_1217,refute_0_1219]) ).
cnf(refute_0_1221,plain,
or(i2,d1) = or(d1,i2),
inference(subst,[],[refute_0_37:[bind(X,$fot(d1)),bind(Y,$fot(i2))]]) ).
cnf(refute_0_1222,plain,
( not(and(b1,f2)) != or(i2,d1)
| or(i2,d1) != or(d1,i2)
| not(and(b1,f2)) = or(d1,i2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,f2)),or(d1,i2)) ),[0],$fot(or(i2,d1))]]) ).
cnf(refute_0_1223,plain,
( not(and(b1,f2)) != or(i2,d1)
| not(and(b1,f2)) = or(d1,i2) ),
inference(resolve,[$cnf( $equal(or(i2,d1),or(d1,i2)) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
not(and(b1,f2)) = or(d1,i2),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),or(i2,d1)) )],[refute_0_1220,refute_0_1223]) ).
cnf(refute_0_1225,plain,
( not(and(and(b1,f2),i1)) != or(f1,not(and(b1,f2)))
| not(and(b1,f2)) != or(d1,i2)
| not(and(and(b1,f2),i1)) = or(f1,or(d1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,f2),i1)),or(f1,not(and(b1,f2)))) ),[1,1],$fot(or(d1,i2))]]) ).
cnf(refute_0_1226,plain,
( not(and(and(b1,f2),i1)) != or(f1,not(and(b1,f2)))
| not(and(and(b1,f2),i1)) = or(f1,or(d1,i2)) ),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),or(d1,i2)) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
not(and(and(b1,f2),i1)) = or(f1,or(d1,i2)),
inference(resolve,[$cnf( $equal(not(and(and(b1,f2),i1)),or(f1,not(and(b1,f2)))) )],[refute_0_1216,refute_0_1226]) ).
cnf(refute_0_1228,plain,
and(f2,and(i1,b1)) = and(f2,and(b1,i1)),
inference(subst,[],[refute_0_944:[bind(X,$fot(f2)),bind(Y,$fot(b1)),bind(Z,$fot(i1))]]) ).
cnf(refute_0_1229,plain,
not(and(f2,and(i1,b1))) = not(and(f2,and(i1,b1))),
introduced(tautology,[refl,[$fot(not(and(f2,and(i1,b1))))]]) ).
cnf(refute_0_1230,plain,
( and(f2,and(i1,b1)) != and(f2,and(b1,i1))
| not(and(f2,and(i1,b1))) != not(and(f2,and(i1,b1)))
| not(and(f2,and(i1,b1))) = not(and(f2,and(b1,i1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,and(i1,b1))),not(and(f2,and(i1,b1)))) ),[1,0],$fot(and(f2,and(b1,i1)))]]) ).
cnf(refute_0_1231,plain,
( and(f2,and(i1,b1)) != and(f2,and(b1,i1))
| not(and(f2,and(i1,b1))) = not(and(f2,and(b1,i1))) ),
inference(resolve,[$cnf( $equal(not(and(f2,and(i1,b1))),not(and(f2,and(i1,b1)))) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
not(and(f2,and(i1,b1))) = not(and(f2,and(b1,i1))),
inference(resolve,[$cnf( $equal(and(f2,and(i1,b1)),and(f2,and(b1,i1))) )],[refute_0_1228,refute_0_1231]) ).
cnf(refute_0_1233,plain,
( not(and(f2,and(i1,Y))) != not(and(i1,and(Y,f2)))
| not(and(i1,and(Y,f2))) = not(and(f2,and(i1,Y))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(f2,and(i1,Y))))),bind(Y0,$fot(not(and(i1,and(Y,f2)))))]]) ).
cnf(refute_0_1234,plain,
not(and(i1,and(Y,f2))) = not(and(f2,and(i1,Y))),
inference(resolve,[$cnf( $equal(not(and(f2,and(i1,Y))),not(and(i1,and(Y,f2)))) )],[refute_0_1156,refute_0_1233]) ).
cnf(refute_0_1235,plain,
not(and(i1,and(b1,f2))) = not(and(f2,and(i1,b1))),
inference(subst,[],[refute_0_1234:[bind(Y,$fot(b1))]]) ).
cnf(refute_0_1236,plain,
not(and(and(b1,f2),i1)) = not(and(i1,and(b1,f2))),
inference(subst,[],[refute_0_1000:[bind(X_114,$fot(and(b1,f2)))]]) ).
cnf(refute_0_1237,plain,
( not(and(and(b1,f2),i1)) != not(and(i1,and(b1,f2)))
| not(and(i1,and(b1,f2))) != not(and(f2,and(i1,b1)))
| not(and(and(b1,f2),i1)) = not(and(f2,and(i1,b1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(b1,f2),i1)))),bind(Y0,$fot(not(and(i1,and(b1,f2))))),bind(Z0,$fot(not(and(f2,and(i1,b1)))))]]) ).
cnf(refute_0_1238,plain,
( not(and(i1,and(b1,f2))) != not(and(f2,and(i1,b1)))
| not(and(and(b1,f2),i1)) = not(and(f2,and(i1,b1))) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,f2),i1)),not(and(i1,and(b1,f2)))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
not(and(and(b1,f2),i1)) = not(and(f2,and(i1,b1))),
inference(resolve,[$cnf( $equal(not(and(i1,and(b1,f2))),not(and(f2,and(i1,b1)))) )],[refute_0_1235,refute_0_1238]) ).
cnf(refute_0_1240,plain,
( not(and(and(b1,f2),i1)) != not(and(f2,and(i1,b1)))
| not(and(f2,and(i1,b1))) != not(and(f2,and(b1,i1)))
| not(and(and(b1,f2),i1)) = not(and(f2,and(b1,i1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(b1,f2),i1)))),bind(Y0,$fot(not(and(f2,and(i1,b1))))),bind(Z0,$fot(not(and(f2,and(b1,i1)))))]]) ).
cnf(refute_0_1241,plain,
( not(and(f2,and(i1,b1))) != not(and(f2,and(b1,i1)))
| not(and(and(b1,f2),i1)) = not(and(f2,and(b1,i1))) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,f2),i1)),not(and(f2,and(i1,b1)))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
not(and(and(b1,f2),i1)) = not(and(f2,and(b1,i1))),
inference(resolve,[$cnf( $equal(not(and(f2,and(i1,b1))),not(and(f2,and(b1,i1)))) )],[refute_0_1232,refute_0_1241]) ).
cnf(refute_0_1243,plain,
( not(and(and(b1,f2),i1)) != not(and(f2,and(b1,i1)))
| not(and(and(b1,f2),i1)) != or(f1,or(d1,i2))
| not(and(f2,and(b1,i1))) = or(f1,or(d1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,f2),i1)),or(f1,or(d1,i2))) ),[0],$fot(not(and(f2,and(b1,i1))))]]) ).
cnf(refute_0_1244,plain,
( not(and(and(b1,f2),i1)) != or(f1,or(d1,i2))
| not(and(f2,and(b1,i1))) = or(f1,or(d1,i2)) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,f2),i1)),not(and(f2,and(b1,i1)))) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
not(and(f2,and(b1,i1))) = or(f1,or(d1,i2)),
inference(resolve,[$cnf( $equal(not(and(and(b1,f2),i1)),or(f1,or(d1,i2))) )],[refute_0_1227,refute_0_1244]) ).
cnf(refute_0_1246,plain,
not(and(and(b1,i1),f2)) = not(and(f2,and(b1,i1))),
inference(subst,[],[refute_0_637:[bind(X_113,$fot(and(b1,i1)))]]) ).
cnf(refute_0_1247,plain,
( not(and(and(b1,i1),f2)) != not(and(f2,and(b1,i1)))
| not(and(f2,and(b1,i1))) != or(f1,or(d1,i2))
| not(and(and(b1,i1),f2)) = or(f1,or(d1,i2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(b1,i1),f2)))),bind(Y0,$fot(not(and(f2,and(b1,i1))))),bind(Z0,$fot(or(f1,or(d1,i2))))]]) ).
cnf(refute_0_1248,plain,
( not(and(f2,and(b1,i1))) != or(f1,or(d1,i2))
| not(and(and(b1,i1),f2)) = or(f1,or(d1,i2)) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,i1),f2)),not(and(f2,and(b1,i1)))) )],[refute_0_1246,refute_0_1247]) ).
cnf(refute_0_1249,plain,
not(and(and(b1,i1),f2)) = or(f1,or(d1,i2)),
inference(resolve,[$cnf( $equal(not(and(f2,and(b1,i1))),or(f1,or(d1,i2))) )],[refute_0_1245,refute_0_1248]) ).
cnf(refute_0_1250,plain,
( not(and(and(b1,i1),f2)) != or(f1,or(d1,i2))
| not(and(and(b1,i1),f2)) != or(i2,not(d3))
| or(f1,or(d1,i2)) = or(i2,not(d3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,i1),f2)),or(i2,not(d3))) ),[0],$fot(or(f1,or(d1,i2)))]]) ).
cnf(refute_0_1251,plain,
( not(and(and(b1,i1),f2)) != or(i2,not(d3))
| or(f1,or(d1,i2)) = or(i2,not(d3)) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,i1),f2)),or(f1,or(d1,i2))) )],[refute_0_1249,refute_0_1250]) ).
cnf(refute_0_1252,plain,
not(and(d3,f2)) = not(and(d3,f2)),
introduced(tautology,[refl,[$fot(not(and(d3,f2)))]]) ).
cnf(refute_0_1253,plain,
( and(d3,f2) != n0
| not(and(d3,f2)) != not(and(d3,f2))
| not(and(d3,f2)) = not(n0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d3,f2)),not(and(d3,f2))) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_1254,plain,
( and(d3,f2) != n0
| not(and(d3,f2)) = not(n0) ),
inference(resolve,[$cnf( $equal(not(and(d3,f2)),not(and(d3,f2))) )],[refute_0_1252,refute_0_1253]) ).
cnf(refute_0_1255,plain,
not(and(d3,f2)) = not(n0),
inference(resolve,[$cnf( $equal(and(d3,f2),n0) )],[refute_0_472,refute_0_1254]) ).
cnf(refute_0_1256,plain,
( not(and(d3,f2)) != not(n0)
| not(n0) != n1
| not(and(d3,f2)) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(d3,f2)))),bind(Y0,$fot(not(n0))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1257,plain,
( not(n0) != n1
| not(and(d3,f2)) = n1 ),
inference(resolve,[$cnf( $equal(not(and(d3,f2)),not(n0)) )],[refute_0_1255,refute_0_1256]) ).
cnf(refute_0_1258,plain,
not(and(d3,f2)) = n1,
inference(resolve,[$cnf( $equal(not(n0),n1) )],[not_definition1,refute_0_1257]) ).
cnf(refute_0_1259,plain,
or(i2,not(d3)) = not(and(d3,f2)),
inference(subst,[],[refute_0_631:[bind(X_109,$fot(d3))]]) ).
cnf(refute_0_1260,plain,
( not(and(d3,f2)) != n1
| or(i2,not(d3)) != not(and(d3,f2))
| or(i2,not(d3)) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(i2,not(d3)))),bind(Y0,$fot(not(and(d3,f2)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1261,plain,
( not(and(d3,f2)) != n1
| or(i2,not(d3)) = n1 ),
inference(resolve,[$cnf( $equal(or(i2,not(d3)),not(and(d3,f2))) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
or(i2,not(d3)) = n1,
inference(resolve,[$cnf( $equal(not(and(d3,f2)),n1) )],[refute_0_1258,refute_0_1261]) ).
cnf(refute_0_1263,plain,
( or(f1,or(d1,i2)) != or(i2,not(d3))
| or(i2,not(d3)) != n1
| or(f1,or(d1,i2)) = n1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(f1,or(d1,i2)),n1) ),[0],$fot(or(i2,not(d3)))]]) ).
cnf(refute_0_1264,plain,
( or(f1,or(d1,i2)) != or(i2,not(d3))
| or(f1,or(d1,i2)) = n1 ),
inference(resolve,[$cnf( $equal(or(i2,not(d3)),n1) )],[refute_0_1262,refute_0_1263]) ).
cnf(refute_0_1265,plain,
( not(and(and(b1,i1),f2)) != or(i2,not(d3))
| or(f1,or(d1,i2)) = n1 ),
inference(resolve,[$cnf( $equal(or(f1,or(d1,i2)),or(i2,not(d3))) )],[refute_0_1251,refute_0_1264]) ).
cnf(refute_0_1266,plain,
or(f1,or(d1,i2)) = n1,
inference(resolve,[$cnf( $equal(not(and(and(b1,i1),f2)),or(i2,not(d3))) )],[refute_0_1215,refute_0_1265]) ).
cnf(refute_0_1267,plain,
or(d1,c2) = or(c2,d1),
inference(subst,[],[refute_0_37:[bind(X,$fot(c2)),bind(Y,$fot(d1))]]) ).
cnf(refute_0_1268,plain,
or(d1,i2) = or(d1,i2),
introduced(tautology,[refl,[$fot(or(d1,i2))]]) ).
cnf(refute_0_1269,plain,
( i2 != c2
| or(d1,i2) != or(d1,i2)
| or(d1,i2) = or(d1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,i2),or(d1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_1270,plain,
( i2 != c2
| or(d1,i2) = or(d1,c2) ),
inference(resolve,[$cnf( $equal(or(d1,i2),or(d1,i2)) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
or(d1,i2) = or(d1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_1270]) ).
cnf(refute_0_1272,plain,
( or(d1,c2) != or(c2,d1)
| or(d1,i2) != or(d1,c2)
| or(d1,i2) = or(c2,d1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d1,i2))),bind(Y0,$fot(or(d1,c2))),bind(Z0,$fot(or(c2,d1)))]]) ).
cnf(refute_0_1273,plain,
( or(d1,c2) != or(c2,d1)
| or(d1,i2) = or(c2,d1) ),
inference(resolve,[$cnf( $equal(or(d1,i2),or(d1,c2)) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
or(d1,i2) = or(c2,d1),
inference(resolve,[$cnf( $equal(or(d1,c2),or(c2,d1)) )],[refute_0_1267,refute_0_1273]) ).
cnf(refute_0_1275,plain,
or(f1,or(d1,i2)) = or(f1,or(d1,i2)),
introduced(tautology,[refl,[$fot(or(f1,or(d1,i2)))]]) ).
cnf(refute_0_1276,plain,
( or(d1,i2) != or(c2,d1)
| or(f1,or(d1,i2)) != or(f1,or(d1,i2))
| or(f1,or(d1,i2)) = or(f1,or(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(d1,i2)),or(f1,or(d1,i2))) ),[1,1],$fot(or(c2,d1))]]) ).
cnf(refute_0_1277,plain,
( or(d1,i2) != or(c2,d1)
| or(f1,or(d1,i2)) = or(f1,or(c2,d1)) ),
inference(resolve,[$cnf( $equal(or(f1,or(d1,i2)),or(f1,or(d1,i2))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
or(f1,or(d1,i2)) = or(f1,or(c2,d1)),
inference(resolve,[$cnf( $equal(or(d1,i2),or(c2,d1)) )],[refute_0_1274,refute_0_1277]) ).
cnf(refute_0_1279,plain,
( or(f1,or(d1,i2)) != n1
| or(f1,or(d1,i2)) != or(f1,or(c2,d1))
| or(f1,or(c2,d1)) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(d1,i2)),n1) ),[0],$fot(or(f1,or(c2,d1)))]]) ).
cnf(refute_0_1280,plain,
( or(f1,or(d1,i2)) != n1
| or(f1,or(c2,d1)) = n1 ),
inference(resolve,[$cnf( $equal(or(f1,or(d1,i2)),or(f1,or(c2,d1))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
or(f1,or(c2,d1)) = n1,
inference(resolve,[$cnf( $equal(or(f1,or(d1,i2)),n1) )],[refute_0_1266,refute_0_1280]) ).
cnf(refute_0_1282,plain,
not(and(f2,or(b1,i2))) = not(and(f2,or(b1,i2))),
introduced(tautology,[refl,[$fot(not(and(f2,or(b1,i2))))]]) ).
cnf(refute_0_1283,plain,
( and(f2,or(b1,i2)) != and(f2,or(b1,c2))
| not(and(f2,or(b1,i2))) != not(and(f2,or(b1,i2)))
| not(and(f2,or(b1,i2))) = not(and(f2,or(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,or(b1,i2))),not(and(f2,or(b1,i2)))) ),[1,0],$fot(and(f2,or(b1,c2)))]]) ).
cnf(refute_0_1284,plain,
( and(f2,or(b1,i2)) != and(f2,or(b1,c2))
| not(and(f2,or(b1,i2))) = not(and(f2,or(b1,c2))) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,i2))),not(and(f2,or(b1,i2)))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
not(and(f2,or(b1,i2))) = not(and(f2,or(b1,c2))),
inference(resolve,[$cnf( $equal(and(f2,or(b1,i2)),and(f2,or(b1,c2))) )],[refute_0_838,refute_0_1284]) ).
cnf(refute_0_1286,plain,
( not(and(f2,or(b1,i2))) != not(and(f2,or(b1,c2)))
| not(and(f2,or(b1,i2))) != or(i2,and(d1,f2))
| not(and(f2,or(b1,c2))) = or(i2,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,or(b1,i2))),or(i2,and(d1,f2))) ),[0],$fot(not(and(f2,or(b1,c2))))]]) ).
cnf(refute_0_1287,plain,
( not(and(f2,or(b1,i2))) != or(i2,and(d1,f2))
| not(and(f2,or(b1,c2))) = or(i2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,i2))),not(and(f2,or(b1,c2)))) )],[refute_0_1285,refute_0_1286]) ).
cnf(refute_0_1288,plain,
( not(and(f2,or(b1,c2))) != or(i2,and(d1,f2))
| or(i2,and(d1,f2)) != or(c2,and(d1,f2))
| not(and(f2,or(b1,c2))) = or(c2,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f2,or(b1,c2))),or(c2,and(d1,f2))) ),[0],$fot(or(i2,and(d1,f2)))]]) ).
cnf(refute_0_1289,plain,
( not(and(f2,or(b1,c2))) != or(i2,and(d1,f2))
| not(and(f2,or(b1,c2))) = or(c2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(or(i2,and(d1,f2)),or(c2,and(d1,f2))) )],[refute_0_1197,refute_0_1288]) ).
cnf(refute_0_1290,plain,
( not(and(f2,or(b1,i2))) != or(i2,and(d1,f2))
| not(and(f2,or(b1,c2))) = or(c2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,c2))),or(i2,and(d1,f2))) )],[refute_0_1287,refute_0_1289]) ).
cnf(refute_0_1291,plain,
not(and(f2,or(b1,c2))) = or(c2,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,i2))),or(i2,and(d1,f2))) )],[refute_0_1027,refute_0_1290]) ).
cnf(refute_0_1292,plain,
( not(and(b1,f2)) != or(d1,i2)
| or(d1,i2) != or(c2,d1)
| not(and(b1,f2)) = or(c2,d1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,f2)),or(c2,d1)) ),[0],$fot(or(d1,i2))]]) ).
cnf(refute_0_1293,plain,
( not(and(b1,f2)) != or(d1,i2)
| not(and(b1,f2)) = or(c2,d1) ),
inference(resolve,[$cnf( $equal(or(d1,i2),or(c2,d1)) )],[refute_0_1274,refute_0_1292]) ).
cnf(refute_0_1294,plain,
not(and(b1,f2)) = or(c2,d1),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),or(d1,i2)) )],[refute_0_1224,refute_0_1293]) ).
cnf(refute_0_1295,plain,
not(and(f2,or(b1,c2))) = not(and(f2,or(b1,c2))),
introduced(tautology,[refl,[$fot(not(and(f2,or(b1,c2))))]]) ).
cnf(refute_0_1296,plain,
( and(f2,or(b1,c2)) != and(b1,f2)
| not(and(f2,or(b1,c2))) != not(and(f2,or(b1,c2)))
| not(and(f2,or(b1,c2))) = not(and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,or(b1,c2))),not(and(f2,or(b1,c2)))) ),[1,0],$fot(and(b1,f2))]]) ).
cnf(refute_0_1297,plain,
( and(f2,or(b1,c2)) != and(b1,f2)
| not(and(f2,or(b1,c2))) = not(and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,c2))),not(and(f2,or(b1,c2)))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
not(and(f2,or(b1,c2))) = not(and(b1,f2)),
inference(resolve,[$cnf( $equal(and(f2,or(b1,c2)),and(b1,f2)) )],[refute_0_961,refute_0_1297]) ).
cnf(refute_0_1299,plain,
( not(and(b1,f2)) != or(c2,d1)
| not(and(f2,or(b1,c2))) != not(and(b1,f2))
| not(and(f2,or(b1,c2))) = or(c2,d1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(f2,or(b1,c2))))),bind(Y0,$fot(not(and(b1,f2)))),bind(Z0,$fot(or(c2,d1)))]]) ).
cnf(refute_0_1300,plain,
( not(and(b1,f2)) != or(c2,d1)
| not(and(f2,or(b1,c2))) = or(c2,d1) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,c2))),not(and(b1,f2))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
not(and(f2,or(b1,c2))) = or(c2,d1),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),or(c2,d1)) )],[refute_0_1294,refute_0_1300]) ).
cnf(refute_0_1302,plain,
( not(and(f2,or(b1,c2))) != or(c2,and(d1,f2))
| not(and(f2,or(b1,c2))) != or(c2,d1)
| or(c2,d1) = or(c2,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,or(b1,c2))),or(c2,and(d1,f2))) ),[0],$fot(or(c2,d1))]]) ).
cnf(refute_0_1303,plain,
( not(and(f2,or(b1,c2))) != or(c2,and(d1,f2))
| or(c2,d1) = or(c2,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,c2))),or(c2,d1)) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
or(c2,d1) = or(c2,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(f2,or(b1,c2))),or(c2,and(d1,f2))) )],[refute_0_1291,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( or(c2,d1) != or(c2,and(d1,f2))
| or(c2,and(d1,f2)) = or(c2,d1) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(c2,d1))),bind(Y0,$fot(or(c2,and(d1,f2))))]]) ).
cnf(refute_0_1306,plain,
or(c2,and(d1,f2)) = or(c2,d1),
inference(resolve,[$cnf( $equal(or(c2,d1),or(c2,and(d1,f2))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
or(f1,or(c2,and(d1,f2))) = or(f1,or(c2,and(d1,f2))),
introduced(tautology,[refl,[$fot(or(f1,or(c2,and(d1,f2))))]]) ).
cnf(refute_0_1308,plain,
( or(c2,and(d1,f2)) != or(c2,d1)
| or(f1,or(c2,and(d1,f2))) != or(f1,or(c2,and(d1,f2)))
| or(f1,or(c2,and(d1,f2))) = or(f1,or(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(c2,and(d1,f2))),or(f1,or(c2,and(d1,f2)))) ),[1,1],$fot(or(c2,d1))]]) ).
cnf(refute_0_1309,plain,
( or(c2,and(d1,f2)) != or(c2,d1)
| or(f1,or(c2,and(d1,f2))) = or(f1,or(c2,d1)) ),
inference(resolve,[$cnf( $equal(or(f1,or(c2,and(d1,f2))),or(f1,or(c2,and(d1,f2)))) )],[refute_0_1307,refute_0_1308]) ).
cnf(refute_0_1310,plain,
or(f1,or(c2,and(d1,f2))) = or(f1,or(c2,d1)),
inference(resolve,[$cnf( $equal(or(c2,and(d1,f2)),or(c2,d1)) )],[refute_0_1306,refute_0_1309]) ).
cnf(refute_0_1311,plain,
( or(f1,or(c2,and(d1,f2))) != or(f1,or(c2,d1))
| or(f1,or(c2,d1)) != n1
| or(f1,or(c2,and(d1,f2))) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,or(c2,and(d1,f2))))),bind(Y0,$fot(or(f1,or(c2,d1)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1312,plain,
( or(f1,or(c2,d1)) != n1
| or(f1,or(c2,and(d1,f2))) = n1 ),
inference(resolve,[$cnf( $equal(or(f1,or(c2,and(d1,f2))),or(f1,or(c2,d1))) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
or(f1,or(c2,and(d1,f2))) = n1,
inference(resolve,[$cnf( $equal(or(f1,or(c2,d1)),n1) )],[refute_0_1281,refute_0_1312]) ).
cnf(refute_0_1314,plain,
( or(f1,or(c2,and(d1,f2))) != n1
| or(f1,or(c2,and(d1,f2))) != or(c2,or(f1,and(d1,f2)))
| n1 = or(c2,or(f1,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(c2,and(d1,f2))),or(c2,or(f1,and(d1,f2)))) ),[0],$fot(n1)]]) ).
cnf(refute_0_1315,plain,
( or(f1,or(c2,and(d1,f2))) != or(c2,or(f1,and(d1,f2)))
| n1 = or(c2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(c2,and(d1,f2))),n1) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
and(c1,and(f2,or(b1,i2))) = and(c1,and(f2,or(b1,i2))),
introduced(tautology,[refl,[$fot(and(c1,and(f2,or(b1,i2))))]]) ).
cnf(refute_0_1317,plain,
( and(c1,and(f2,or(b1,i2))) != and(c1,and(f2,or(b1,i2)))
| and(f2,or(b1,i2)) != and(f2,or(b1,c2))
| and(c1,and(f2,or(b1,i2))) = and(c1,and(f2,or(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(f2,or(b1,i2))),and(c1,and(f2,or(b1,i2)))) ),[1,1],$fot(and(f2,or(b1,c2)))]]) ).
cnf(refute_0_1318,plain,
( and(f2,or(b1,i2)) != and(f2,or(b1,c2))
| and(c1,and(f2,or(b1,i2))) = and(c1,and(f2,or(b1,c2))) ),
inference(resolve,[$cnf( $equal(and(c1,and(f2,or(b1,i2))),and(c1,and(f2,or(b1,i2)))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
and(c1,and(f2,or(b1,i2))) = and(c1,and(f2,or(b1,c2))),
inference(resolve,[$cnf( $equal(and(f2,or(b1,i2)),and(f2,or(b1,c2))) )],[refute_0_838,refute_0_1318]) ).
cnf(refute_0_1320,plain,
not(and(c1,and(f2,or(b1,i2)))) = not(and(c1,and(f2,or(b1,i2)))),
introduced(tautology,[refl,[$fot(not(and(c1,and(f2,or(b1,i2)))))]]) ).
cnf(refute_0_1321,plain,
( and(c1,and(f2,or(b1,i2))) != and(c1,and(f2,or(b1,c2)))
| not(and(c1,and(f2,or(b1,i2)))) != not(and(c1,and(f2,or(b1,i2))))
| not(and(c1,and(f2,or(b1,i2)))) = not(and(c1,and(f2,or(b1,c2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(c1,and(f2,or(b1,i2)))),not(and(c1,and(f2,or(b1,i2))))) ),[1,0],$fot(and(c1,and(f2,or(b1,c2))))]]) ).
cnf(refute_0_1322,plain,
( and(c1,and(f2,or(b1,i2))) != and(c1,and(f2,or(b1,c2)))
| not(and(c1,and(f2,or(b1,i2)))) = not(and(c1,and(f2,or(b1,c2)))) ),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,i2)))),not(and(c1,and(f2,or(b1,i2))))) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
not(and(c1,and(f2,or(b1,i2)))) = not(and(c1,and(f2,or(b1,c2)))),
inference(resolve,[$cnf( $equal(and(c1,and(f2,or(b1,i2))),and(c1,and(f2,or(b1,c2)))) )],[refute_0_1319,refute_0_1322]) ).
cnf(refute_0_1324,plain,
( not(and(c1,and(f2,or(b1,i2)))) != not(and(c1,and(f2,or(b1,c2))))
| not(and(c1,and(f2,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(c1,and(f2,or(b1,c2)))) = or(f1,or(i2,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(c1,and(f2,or(b1,i2)))),or(f1,or(i2,and(d1,f2)))) ),[0],$fot(not(and(c1,and(f2,or(b1,c2)))))]]) ).
cnf(refute_0_1325,plain,
( not(and(c1,and(f2,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(c1,and(f2,or(b1,c2)))) = or(f1,or(i2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,i2)))),not(and(c1,and(f2,or(b1,c2))))) )],[refute_0_1323,refute_0_1324]) ).
cnf(refute_0_1326,plain,
( not(and(c1,and(f2,or(b1,c2)))) != or(f1,or(i2,and(d1,f2)))
| or(f1,or(i2,and(d1,f2))) != or(f1,or(c2,and(d1,f2)))
| not(and(c1,and(f2,or(b1,c2)))) = or(f1,or(c2,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(c1,and(f2,or(b1,c2)))),or(f1,or(c2,and(d1,f2)))) ),[0],$fot(or(f1,or(i2,and(d1,f2))))]]) ).
cnf(refute_0_1327,plain,
( not(and(c1,and(f2,or(b1,c2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(c1,and(f2,or(b1,c2)))) = or(f1,or(c2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(i2,and(d1,f2))),or(f1,or(c2,and(d1,f2)))) )],[refute_0_1201,refute_0_1326]) ).
cnf(refute_0_1328,plain,
( not(and(c1,and(f2,or(b1,i2)))) != or(f1,or(i2,and(d1,f2)))
| not(and(c1,and(f2,or(b1,c2)))) = or(f1,or(c2,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,c2)))),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1325,refute_0_1327]) ).
cnf(refute_0_1329,plain,
not(and(c1,and(f2,or(b1,c2)))) = or(f1,or(c2,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,i2)))),or(f1,or(i2,and(d1,f2)))) )],[refute_0_1045,refute_0_1328]) ).
cnf(refute_0_1330,plain,
( not(and(c1,and(f2,or(b1,c2)))) != or(f1,or(c2,and(d1,f2)))
| or(f1,or(c2,and(d1,f2))) != or(c2,or(f1,and(d1,f2)))
| not(and(c1,and(f2,or(b1,c2)))) = or(c2,or(f1,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(c1,and(f2,or(b1,c2)))),or(c2,or(f1,and(d1,f2)))) ),[0],$fot(or(f1,or(c2,and(d1,f2))))]]) ).
cnf(refute_0_1331,plain,
( not(and(c1,and(f2,or(b1,c2)))) != or(f1,or(c2,and(d1,f2)))
| not(and(c1,and(f2,or(b1,c2)))) = or(c2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(or(f1,or(c2,and(d1,f2))),or(c2,or(f1,and(d1,f2)))) )],[refute_0_1211,refute_0_1330]) ).
cnf(refute_0_1332,plain,
not(and(c1,and(f2,or(b1,c2)))) = or(c2,or(f1,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,c2)))),or(f1,or(c2,and(d1,f2)))) )],[refute_0_1329,refute_0_1331]) ).
cnf(refute_0_1333,plain,
and(c1,and(f2,or(b1,c2))) = and(c1,and(f2,or(b1,c2))),
introduced(tautology,[refl,[$fot(and(c1,and(f2,or(b1,c2))))]]) ).
cnf(refute_0_1334,plain,
( and(c1,and(f2,or(b1,c2))) != and(c1,and(f2,or(b1,c2)))
| and(f2,or(b1,c2)) != and(b1,f2)
| and(c1,and(f2,or(b1,c2))) = and(c1,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(f2,or(b1,c2))),and(c1,and(f2,or(b1,c2)))) ),[1,1],$fot(and(b1,f2))]]) ).
cnf(refute_0_1335,plain,
( and(f2,or(b1,c2)) != and(b1,f2)
| and(c1,and(f2,or(b1,c2))) = and(c1,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(and(c1,and(f2,or(b1,c2))),and(c1,and(f2,or(b1,c2)))) )],[refute_0_1333,refute_0_1334]) ).
cnf(refute_0_1336,plain,
and(c1,and(f2,or(b1,c2))) = and(c1,and(b1,f2)),
inference(resolve,[$cnf( $equal(and(f2,or(b1,c2)),and(b1,f2)) )],[refute_0_961,refute_0_1335]) ).
cnf(refute_0_1337,plain,
not(and(c1,and(f2,or(b1,c2)))) = not(and(c1,and(f2,or(b1,c2)))),
introduced(tautology,[refl,[$fot(not(and(c1,and(f2,or(b1,c2)))))]]) ).
cnf(refute_0_1338,plain,
( and(c1,and(f2,or(b1,c2))) != and(c1,and(b1,f2))
| not(and(c1,and(f2,or(b1,c2)))) != not(and(c1,and(f2,or(b1,c2))))
| not(and(c1,and(f2,or(b1,c2)))) = not(and(c1,and(b1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(c1,and(f2,or(b1,c2)))),not(and(c1,and(f2,or(b1,c2))))) ),[1,0],$fot(and(c1,and(b1,f2)))]]) ).
cnf(refute_0_1339,plain,
( and(c1,and(f2,or(b1,c2))) != and(c1,and(b1,f2))
| not(and(c1,and(f2,or(b1,c2)))) = not(and(c1,and(b1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,c2)))),not(and(c1,and(f2,or(b1,c2))))) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
not(and(c1,and(f2,or(b1,c2)))) = not(and(c1,and(b1,f2))),
inference(resolve,[$cnf( $equal(and(c1,and(f2,or(b1,c2))),and(c1,and(b1,f2))) )],[refute_0_1336,refute_0_1339]) ).
cnf(refute_0_1341,plain,
( not(and(c1,and(f2,or(b1,c2)))) != not(and(c1,and(b1,f2)))
| not(and(c1,and(f2,or(b1,c2)))) != or(c2,or(f1,and(d1,f2)))
| not(and(c1,and(b1,f2))) = or(c2,or(f1,and(d1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(c1,and(f2,or(b1,c2)))),or(c2,or(f1,and(d1,f2)))) ),[0],$fot(not(and(c1,and(b1,f2))))]]) ).
cnf(refute_0_1342,plain,
( not(and(c1,and(f2,or(b1,c2)))) != or(c2,or(f1,and(d1,f2)))
| not(and(c1,and(b1,f2))) = or(c2,or(f1,and(d1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,c2)))),not(and(c1,and(b1,f2)))) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
not(and(c1,and(b1,f2))) = or(c2,or(f1,and(d1,f2))),
inference(resolve,[$cnf( $equal(not(and(c1,and(f2,or(b1,c2)))),or(c2,or(f1,and(d1,f2)))) )],[refute_0_1332,refute_0_1342]) ).
cnf(refute_0_1344,plain,
( not(and(c1,and(b1,f2))) != or(c2,or(f1,and(d1,f2)))
| or(c2,or(f1,and(d1,f2))) = not(and(c1,and(b1,f2))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(c1,and(b1,f2))))),bind(Y0,$fot(or(c2,or(f1,and(d1,f2)))))]]) ).
cnf(refute_0_1345,plain,
or(c2,or(f1,and(d1,f2))) = not(and(c1,and(b1,f2))),
inference(resolve,[$cnf( $equal(not(and(c1,and(b1,f2))),or(c2,or(f1,and(d1,f2)))) )],[refute_0_1343,refute_0_1344]) ).
cnf(refute_0_1346,plain,
( n1 != or(c2,or(f1,and(d1,f2)))
| or(c2,or(f1,and(d1,f2))) != not(and(c1,and(b1,f2)))
| n1 = not(and(c1,and(b1,f2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(n1,not(and(c1,and(b1,f2)))) ),[0],$fot(or(c2,or(f1,and(d1,f2))))]]) ).
cnf(refute_0_1347,plain,
( n1 != or(c2,or(f1,and(d1,f2)))
| n1 = not(and(c1,and(b1,f2))) ),
inference(resolve,[$cnf( $equal(or(c2,or(f1,and(d1,f2))),not(and(c1,and(b1,f2)))) )],[refute_0_1345,refute_0_1346]) ).
cnf(refute_0_1348,plain,
( or(f1,or(c2,and(d1,f2))) != or(c2,or(f1,and(d1,f2)))
| n1 = not(and(c1,and(b1,f2))) ),
inference(resolve,[$cnf( $equal(n1,or(c2,or(f1,and(d1,f2)))) )],[refute_0_1315,refute_0_1347]) ).
cnf(refute_0_1349,plain,
n1 = not(and(c1,and(b1,f2))),
inference(resolve,[$cnf( $equal(or(f1,or(c2,and(d1,f2))),or(c2,or(f1,and(d1,f2)))) )],[refute_0_1211,refute_0_1348]) ).
cnf(refute_0_1350,plain,
( n1 != not(and(c1,and(b1,f2)))
| not(and(c1,and(b1,f2))) = n1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(not(and(c1,and(b1,f2)))))]]) ).
cnf(refute_0_1351,plain,
not(and(c1,and(b1,f2))) = n1,
inference(resolve,[$cnf( $equal(n1,not(and(c1,and(b1,f2)))) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
( and(and(c1,and(b1,f2)),not(and(c1,and(b1,f2)))) != n0
| not(and(c1,and(b1,f2))) != n1
| and(and(c1,and(b1,f2)),n1) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(c1,and(b1,f2)),not(and(c1,and(b1,f2)))),n0) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_1353,plain,
( and(and(c1,and(b1,f2)),not(and(c1,and(b1,f2)))) != n0
| and(and(c1,and(b1,f2)),n1) = n0 ),
inference(resolve,[$cnf( $equal(not(and(c1,and(b1,f2))),n1) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
and(and(c1,and(b1,f2)),n1) = n0,
inference(resolve,[$cnf( $equal(and(and(c1,and(b1,f2)),not(and(c1,and(b1,f2)))),n0) )],[refute_0_980,refute_0_1353]) ).
cnf(refute_0_1355,plain,
and(X,n1) = and(n1,X),
inference(subst,[],[and_commutativity:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_1356,plain,
( and(X,n1) != X
| and(X,n1) != and(n1,X)
| and(n1,X) = X ),
introduced(tautology,[equality,[$cnf( $equal(and(X,n1),X) ),[0],$fot(and(n1,X))]]) ).
cnf(refute_0_1357,plain,
( and(X,n1) != X
| and(n1,X) = X ),
inference(resolve,[$cnf( $equal(and(X,n1),and(n1,X)) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
and(n1,X) = X,
inference(resolve,[$cnf( $equal(and(X,n1),X) )],[and_definition2,refute_0_1357]) ).
cnf(refute_0_1359,plain,
and(n1,and(b1,f2)) = and(b1,f2),
inference(subst,[],[refute_0_1358:[bind(X,$fot(and(b1,f2)))]]) ).
cnf(refute_0_1360,plain,
and(c1,and(n1,and(b1,f2))) = and(c1,and(n1,and(b1,f2))),
introduced(tautology,[refl,[$fot(and(c1,and(n1,and(b1,f2))))]]) ).
cnf(refute_0_1361,plain,
( and(c1,and(n1,and(b1,f2))) != and(c1,and(n1,and(b1,f2)))
| and(n1,and(b1,f2)) != and(b1,f2)
| and(c1,and(n1,and(b1,f2))) = and(c1,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(n1,and(b1,f2))),and(c1,and(n1,and(b1,f2)))) ),[1,1],$fot(and(b1,f2))]]) ).
cnf(refute_0_1362,plain,
( and(n1,and(b1,f2)) != and(b1,f2)
| and(c1,and(n1,and(b1,f2))) = and(c1,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(and(c1,and(n1,and(b1,f2))),and(c1,and(n1,and(b1,f2)))) )],[refute_0_1360,refute_0_1361]) ).
cnf(refute_0_1363,plain,
and(c1,and(n1,and(b1,f2))) = and(c1,and(b1,f2)),
inference(resolve,[$cnf( $equal(and(n1,and(b1,f2)),and(b1,f2)) )],[refute_0_1359,refute_0_1362]) ).
cnf(refute_0_1364,plain,
and(c1,and(and(b1,f2),n1)) = and(c1,and(n1,and(b1,f2))),
inference(subst,[],[refute_0_944:[bind(X,$fot(c1)),bind(Y,$fot(n1)),bind(Z,$fot(and(b1,f2)))]]) ).
cnf(refute_0_1365,plain,
and(and(c1,and(b1,f2)),n1) = and(c1,and(and(b1,f2),n1)),
inference(subst,[],[refute_0_202:[bind(X,$fot(c1)),bind(Y,$fot(and(b1,f2))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_1366,plain,
( and(and(c1,and(b1,f2)),n1) != and(c1,and(and(b1,f2),n1))
| and(c1,and(and(b1,f2),n1)) != and(c1,and(n1,and(b1,f2)))
| and(and(c1,and(b1,f2)),n1) = and(c1,and(n1,and(b1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(c1,and(b1,f2)),n1))),bind(Y0,$fot(and(c1,and(and(b1,f2),n1)))),bind(Z0,$fot(and(c1,and(n1,and(b1,f2)))))]]) ).
cnf(refute_0_1367,plain,
( and(c1,and(and(b1,f2),n1)) != and(c1,and(n1,and(b1,f2)))
| and(and(c1,and(b1,f2)),n1) = and(c1,and(n1,and(b1,f2))) ),
inference(resolve,[$cnf( $equal(and(and(c1,and(b1,f2)),n1),and(c1,and(and(b1,f2),n1))) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
and(and(c1,and(b1,f2)),n1) = and(c1,and(n1,and(b1,f2))),
inference(resolve,[$cnf( $equal(and(c1,and(and(b1,f2),n1)),and(c1,and(n1,and(b1,f2)))) )],[refute_0_1364,refute_0_1367]) ).
cnf(refute_0_1369,plain,
( and(and(c1,and(b1,f2)),n1) != and(c1,and(n1,and(b1,f2)))
| and(c1,and(n1,and(b1,f2))) != and(c1,and(b1,f2))
| and(and(c1,and(b1,f2)),n1) = and(c1,and(b1,f2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(c1,and(b1,f2)),n1))),bind(Y0,$fot(and(c1,and(n1,and(b1,f2))))),bind(Z0,$fot(and(c1,and(b1,f2))))]]) ).
cnf(refute_0_1370,plain,
( and(c1,and(n1,and(b1,f2))) != and(c1,and(b1,f2))
| and(and(c1,and(b1,f2)),n1) = and(c1,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(and(and(c1,and(b1,f2)),n1),and(c1,and(n1,and(b1,f2)))) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
and(and(c1,and(b1,f2)),n1) = and(c1,and(b1,f2)),
inference(resolve,[$cnf( $equal(and(c1,and(n1,and(b1,f2))),and(c1,and(b1,f2))) )],[refute_0_1363,refute_0_1370]) ).
cnf(refute_0_1372,plain,
( and(and(c1,and(b1,f2)),n1) != and(c1,and(b1,f2))
| and(and(c1,and(b1,f2)),n1) != n0
| and(c1,and(b1,f2)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(c1,and(b1,f2)),n1),n0) ),[0],$fot(and(c1,and(b1,f2)))]]) ).
cnf(refute_0_1373,plain,
( and(and(c1,and(b1,f2)),n1) != n0
| and(c1,and(b1,f2)) = n0 ),
inference(resolve,[$cnf( $equal(and(and(c1,and(b1,f2)),n1),and(c1,and(b1,f2))) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
and(c1,and(b1,f2)) = n0,
inference(resolve,[$cnf( $equal(and(and(c1,and(b1,f2)),n1),n0) )],[refute_0_1354,refute_0_1373]) ).
cnf(refute_0_1375,plain,
( and(c1,and(b1,f2)) != n0
| or(and(c1,and(b1,f2)),and(and(b1,f2),not(c1))) != and(b1,f2)
| or(n0,and(and(b1,f2),not(c1))) = and(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c1,and(b1,f2)),and(and(b1,f2),not(c1))),and(b1,f2)) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_1376,plain,
( or(and(c1,and(b1,f2)),and(and(b1,f2),not(c1))) != and(b1,f2)
| or(n0,and(and(b1,f2),not(c1))) = and(b1,f2) ),
inference(resolve,[$cnf( $equal(and(c1,and(b1,f2)),n0) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
or(n0,and(and(b1,f2),not(c1))) = and(b1,f2),
inference(resolve,[$cnf( $equal(or(and(c1,and(b1,f2)),and(and(b1,f2),not(c1))),and(b1,f2)) )],[refute_0_979,refute_0_1376]) ).
cnf(refute_0_1378,plain,
or(and(not(b3),b1),and(d1,not(b3))) = not(b3),
inference(subst,[],[refute_0_753:[bind(X_19,$fot(not(b3)))]]) ).
cnf(refute_0_1379,plain,
and(and(d1,f1),and(Y,not(and(d1,f1)))) = n0,
inference(subst,[],[refute_0_206:[bind(X,$fot(and(d1,f1)))]]) ).
cnf(refute_0_1380,plain,
( and(and(d1,f1),and(Y,not(and(d1,f1)))) != n0
| not(and(d1,f1)) != n1
| and(and(d1,f1),and(Y,n1)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d1,f1),and(Y,not(and(d1,f1)))),n0) ),[0,1,1],$fot(n1)]]) ).
cnf(refute_0_1381,plain,
( and(and(d1,f1),and(Y,not(and(d1,f1)))) != n0
| and(and(d1,f1),and(Y,n1)) = n0 ),
inference(resolve,[$cnf( $equal(not(and(d1,f1)),n1) )],[refute_0_116,refute_0_1380]) ).
cnf(refute_0_1382,plain,
and(and(d1,f1),and(Y,n1)) = n0,
inference(resolve,[$cnf( $equal(and(and(d1,f1),and(Y,not(and(d1,f1)))),n0) )],[refute_0_1379,refute_0_1381]) ).
cnf(refute_0_1383,plain,
and(Y,n1) = Y,
inference(subst,[],[and_definition2:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1384,plain,
and(f1,and(Y,n1)) = and(f1,and(Y,n1)),
introduced(tautology,[refl,[$fot(and(f1,and(Y,n1)))]]) ).
cnf(refute_0_1385,plain,
( and(Y,n1) != Y
| and(f1,and(Y,n1)) != and(f1,and(Y,n1))
| and(f1,and(Y,n1)) = and(f1,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,and(Y,n1)),and(f1,and(Y,n1))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_1386,plain,
( and(Y,n1) != Y
| and(f1,and(Y,n1)) = and(f1,Y) ),
inference(resolve,[$cnf( $equal(and(f1,and(Y,n1)),and(f1,and(Y,n1))) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
and(f1,and(Y,n1)) = and(f1,Y),
inference(resolve,[$cnf( $equal(and(Y,n1),Y) )],[refute_0_1383,refute_0_1386]) ).
cnf(refute_0_1388,plain,
and(d1,and(f1,and(Y,n1))) = and(d1,and(f1,and(Y,n1))),
introduced(tautology,[refl,[$fot(and(d1,and(f1,and(Y,n1))))]]) ).
cnf(refute_0_1389,plain,
( and(d1,and(f1,and(Y,n1))) != and(d1,and(f1,and(Y,n1)))
| and(f1,and(Y,n1)) != and(f1,Y)
| and(d1,and(f1,and(Y,n1))) = and(d1,and(f1,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(f1,and(Y,n1))),and(d1,and(f1,and(Y,n1)))) ),[1,1],$fot(and(f1,Y))]]) ).
cnf(refute_0_1390,plain,
( and(f1,and(Y,n1)) != and(f1,Y)
| and(d1,and(f1,and(Y,n1))) = and(d1,and(f1,Y)) ),
inference(resolve,[$cnf( $equal(and(d1,and(f1,and(Y,n1))),and(d1,and(f1,and(Y,n1)))) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
and(d1,and(f1,and(Y,n1))) = and(d1,and(f1,Y)),
inference(resolve,[$cnf( $equal(and(f1,and(Y,n1)),and(f1,Y)) )],[refute_0_1387,refute_0_1390]) ).
cnf(refute_0_1392,plain,
and(and(d1,f1),and(Y,n1)) = and(d1,and(f1,and(Y,n1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(d1)),bind(Y,$fot(f1)),bind(Z,$fot(and(Y,n1)))]]) ).
cnf(refute_0_1393,plain,
( and(and(d1,f1),and(Y,n1)) != and(d1,and(f1,and(Y,n1)))
| and(d1,and(f1,and(Y,n1))) != and(d1,and(f1,Y))
| and(and(d1,f1),and(Y,n1)) = and(d1,and(f1,Y)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(d1,f1),and(Y,n1)))),bind(Y0,$fot(and(d1,and(f1,and(Y,n1))))),bind(Z0,$fot(and(d1,and(f1,Y))))]]) ).
cnf(refute_0_1394,plain,
( and(d1,and(f1,and(Y,n1))) != and(d1,and(f1,Y))
| and(and(d1,f1),and(Y,n1)) = and(d1,and(f1,Y)) ),
inference(resolve,[$cnf( $equal(and(and(d1,f1),and(Y,n1)),and(d1,and(f1,and(Y,n1)))) )],[refute_0_1392,refute_0_1393]) ).
cnf(refute_0_1395,plain,
and(and(d1,f1),and(Y,n1)) = and(d1,and(f1,Y)),
inference(resolve,[$cnf( $equal(and(d1,and(f1,and(Y,n1))),and(d1,and(f1,Y))) )],[refute_0_1391,refute_0_1394]) ).
cnf(refute_0_1396,plain,
( and(and(d1,f1),and(Y,n1)) != and(d1,and(f1,Y))
| and(and(d1,f1),and(Y,n1)) != n0
| and(d1,and(f1,Y)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d1,f1),and(Y,n1)),n0) ),[0],$fot(and(d1,and(f1,Y)))]]) ).
cnf(refute_0_1397,plain,
( and(and(d1,f1),and(Y,n1)) != n0
| and(d1,and(f1,Y)) = n0 ),
inference(resolve,[$cnf( $equal(and(and(d1,f1),and(Y,n1)),and(d1,and(f1,Y))) )],[refute_0_1395,refute_0_1396]) ).
cnf(refute_0_1398,plain,
and(d1,and(f1,Y)) = n0,
inference(resolve,[$cnf( $equal(and(and(d1,f1),and(Y,n1)),n0) )],[refute_0_1382,refute_0_1397]) ).
cnf(refute_0_1399,plain,
and(d1,and(f1,f2)) = n0,
inference(subst,[],[refute_0_1398:[bind(Y,$fot(f2))]]) ).
cnf(refute_0_1400,plain,
( and(d1,and(f1,f2)) != n0
| and(f1,f2) != not(b3)
| and(d1,not(b3)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(f1,f2)),n0) ),[0,1],$fot(not(b3))]]) ).
cnf(refute_0_1401,plain,
( and(d1,and(f1,f2)) != n0
| and(d1,not(b3)) = n0 ),
inference(resolve,[$cnf( $equal(and(f1,f2),not(b3)) )],[refute_0_595,refute_0_1400]) ).
cnf(refute_0_1402,plain,
and(d1,not(b3)) = n0,
inference(resolve,[$cnf( $equal(and(d1,and(f1,f2)),n0) )],[refute_0_1399,refute_0_1401]) ).
cnf(refute_0_1403,plain,
( and(d1,not(b3)) != n0
| or(and(not(b3),b1),and(d1,not(b3))) != not(b3)
| or(and(not(b3),b1),n0) = not(b3) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(b3),b1),and(d1,not(b3))),not(b3)) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_1404,plain,
( or(and(not(b3),b1),and(d1,not(b3))) != not(b3)
| or(and(not(b3),b1),n0) = not(b3) ),
inference(resolve,[$cnf( $equal(and(d1,not(b3)),n0) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
or(and(not(b3),b1),n0) = not(b3),
inference(resolve,[$cnf( $equal(or(and(not(b3),b1),and(d1,not(b3))),not(b3)) )],[refute_0_1378,refute_0_1404]) ).
cnf(refute_0_1406,plain,
and(not(b3),b1) = and(b1,not(b3)),
inference(subst,[],[refute_0_129:[bind(X,$fot(b1)),bind(Y,$fot(not(b3)))]]) ).
cnf(refute_0_1407,plain,
or(n0,and(not(b3),b1)) = and(not(b3),b1),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(not(b3),b1)))]]) ).
cnf(refute_0_1408,plain,
( and(not(b3),b1) != and(b1,not(b3))
| or(n0,and(not(b3),b1)) != and(not(b3),b1)
| or(n0,and(not(b3),b1)) = and(b1,not(b3)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(not(b3),b1)))),bind(Y0,$fot(and(not(b3),b1))),bind(Z0,$fot(and(b1,not(b3))))]]) ).
cnf(refute_0_1409,plain,
( and(not(b3),b1) != and(b1,not(b3))
| or(n0,and(not(b3),b1)) = and(b1,not(b3)) ),
inference(resolve,[$cnf( $equal(or(n0,and(not(b3),b1)),and(not(b3),b1)) )],[refute_0_1407,refute_0_1408]) ).
cnf(refute_0_1410,plain,
or(n0,and(not(b3),b1)) = and(b1,not(b3)),
inference(resolve,[$cnf( $equal(and(not(b3),b1),and(b1,not(b3))) )],[refute_0_1406,refute_0_1409]) ).
cnf(refute_0_1411,plain,
or(and(not(b3),b1),n0) = or(n0,and(not(b3),b1)),
inference(subst,[],[refute_0_37:[bind(X,$fot(n0)),bind(Y,$fot(and(not(b3),b1)))]]) ).
cnf(refute_0_1412,plain,
( or(and(not(b3),b1),n0) != or(n0,and(not(b3),b1))
| or(n0,and(not(b3),b1)) != and(b1,not(b3))
| or(and(not(b3),b1),n0) = and(b1,not(b3)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(not(b3),b1),n0))),bind(Y0,$fot(or(n0,and(not(b3),b1)))),bind(Z0,$fot(and(b1,not(b3))))]]) ).
cnf(refute_0_1413,plain,
( or(n0,and(not(b3),b1)) != and(b1,not(b3))
| or(and(not(b3),b1),n0) = and(b1,not(b3)) ),
inference(resolve,[$cnf( $equal(or(and(not(b3),b1),n0),or(n0,and(not(b3),b1))) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
or(and(not(b3),b1),n0) = and(b1,not(b3)),
inference(resolve,[$cnf( $equal(or(n0,and(not(b3),b1)),and(b1,not(b3))) )],[refute_0_1410,refute_0_1413]) ).
cnf(refute_0_1415,plain,
( or(and(not(b3),b1),n0) != and(b1,not(b3))
| or(and(not(b3),b1),n0) != not(b3)
| and(b1,not(b3)) = not(b3) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(not(b3),b1),n0),not(b3)) ),[0],$fot(and(b1,not(b3)))]]) ).
cnf(refute_0_1416,plain,
( or(and(not(b3),b1),n0) != not(b3)
| and(b1,not(b3)) = not(b3) ),
inference(resolve,[$cnf( $equal(or(and(not(b3),b1),n0),and(b1,not(b3))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
and(b1,not(b3)) = not(b3),
inference(resolve,[$cnf( $equal(or(and(not(b3),b1),n0),not(b3)) )],[refute_0_1405,refute_0_1416]) ).
cnf(refute_0_1418,plain,
and(f2,f1) = and(f1,f2),
inference(subst,[],[refute_0_129:[bind(X,$fot(f1)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_1419,plain,
( and(f1,f2) != not(b3)
| and(f2,f1) != and(f1,f2)
| and(f2,f1) = not(b3) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f2,f1))),bind(Y0,$fot(and(f1,f2))),bind(Z0,$fot(not(b3)))]]) ).
cnf(refute_0_1420,plain,
( and(f1,f2) != not(b3)
| and(f2,f1) = not(b3) ),
inference(resolve,[$cnf( $equal(and(f2,f1),and(f1,f2)) )],[refute_0_1418,refute_0_1419]) ).
cnf(refute_0_1421,plain,
and(f2,f1) = not(b3),
inference(resolve,[$cnf( $equal(and(f1,f2),not(b3)) )],[refute_0_595,refute_0_1420]) ).
cnf(refute_0_1422,plain,
and(f2,not(c1)) = and(f2,not(c1)),
introduced(tautology,[refl,[$fot(and(f2,not(c1)))]]) ).
cnf(refute_0_1423,plain,
( and(f2,not(c1)) != and(f2,not(c1))
| not(c1) != f1
| and(f2,not(c1)) = and(f2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,not(c1)),and(f2,not(c1))) ),[1,1],$fot(f1)]]) ).
cnf(refute_0_1424,plain,
( not(c1) != f1
| and(f2,not(c1)) = and(f2,f1) ),
inference(resolve,[$cnf( $equal(and(f2,not(c1)),and(f2,not(c1))) )],[refute_0_1422,refute_0_1423]) ).
cnf(refute_0_1425,plain,
and(f2,not(c1)) = and(f2,f1),
inference(resolve,[$cnf( $equal(not(c1),f1) )],[refute_0_1066,refute_0_1424]) ).
cnf(refute_0_1426,plain,
( and(f2,f1) != not(b3)
| and(f2,not(c1)) != and(f2,f1)
| and(f2,not(c1)) = not(b3) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f2,not(c1)))),bind(Y0,$fot(and(f2,f1))),bind(Z0,$fot(not(b3)))]]) ).
cnf(refute_0_1427,plain,
( and(f2,f1) != not(b3)
| and(f2,not(c1)) = not(b3) ),
inference(resolve,[$cnf( $equal(and(f2,not(c1)),and(f2,f1)) )],[refute_0_1425,refute_0_1426]) ).
cnf(refute_0_1428,plain,
and(f2,not(c1)) = not(b3),
inference(resolve,[$cnf( $equal(and(f2,f1),not(b3)) )],[refute_0_1421,refute_0_1427]) ).
cnf(refute_0_1429,plain,
and(b1,and(f2,not(c1))) = and(b1,and(f2,not(c1))),
introduced(tautology,[refl,[$fot(and(b1,and(f2,not(c1))))]]) ).
cnf(refute_0_1430,plain,
( and(b1,and(f2,not(c1))) != and(b1,and(f2,not(c1)))
| and(f2,not(c1)) != not(b3)
| and(b1,and(f2,not(c1))) = and(b1,not(b3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(f2,not(c1))),and(b1,and(f2,not(c1)))) ),[1,1],$fot(not(b3))]]) ).
cnf(refute_0_1431,plain,
( and(f2,not(c1)) != not(b3)
| and(b1,and(f2,not(c1))) = and(b1,not(b3)) ),
inference(resolve,[$cnf( $equal(and(b1,and(f2,not(c1))),and(b1,and(f2,not(c1)))) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
and(b1,and(f2,not(c1))) = and(b1,not(b3)),
inference(resolve,[$cnf( $equal(and(f2,not(c1)),not(b3)) )],[refute_0_1428,refute_0_1431]) ).
cnf(refute_0_1433,plain,
( and(b1,and(f2,not(c1))) != and(b1,not(b3))
| and(b1,not(b3)) != not(b3)
| and(b1,and(f2,not(c1))) = not(b3) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b1,and(f2,not(c1))))),bind(Y0,$fot(and(b1,not(b3)))),bind(Z0,$fot(not(b3)))]]) ).
cnf(refute_0_1434,plain,
( and(b1,not(b3)) != not(b3)
| and(b1,and(f2,not(c1))) = not(b3) ),
inference(resolve,[$cnf( $equal(and(b1,and(f2,not(c1))),and(b1,not(b3))) )],[refute_0_1432,refute_0_1433]) ).
cnf(refute_0_1435,plain,
and(b1,and(f2,not(c1))) = not(b3),
inference(resolve,[$cnf( $equal(and(b1,not(b3)),not(b3)) )],[refute_0_1417,refute_0_1434]) ).
cnf(refute_0_1436,plain,
and(and(b1,f2),not(c1)) = and(b1,and(f2,not(c1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(b1)),bind(Y,$fot(f2)),bind(Z,$fot(not(c1)))]]) ).
cnf(refute_0_1437,plain,
or(n0,and(and(b1,f2),not(c1))) = and(and(b1,f2),not(c1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(b1,f2),not(c1))))]]) ).
cnf(refute_0_1438,plain,
( and(and(b1,f2),not(c1)) != and(b1,and(f2,not(c1)))
| or(n0,and(and(b1,f2),not(c1))) != and(and(b1,f2),not(c1))
| or(n0,and(and(b1,f2),not(c1))) = and(b1,and(f2,not(c1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(b1,f2),not(c1))))),bind(Y0,$fot(and(and(b1,f2),not(c1)))),bind(Z0,$fot(and(b1,and(f2,not(c1)))))]]) ).
cnf(refute_0_1439,plain,
( and(and(b1,f2),not(c1)) != and(b1,and(f2,not(c1)))
| or(n0,and(and(b1,f2),not(c1))) = and(b1,and(f2,not(c1))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b1,f2),not(c1))),and(and(b1,f2),not(c1))) )],[refute_0_1437,refute_0_1438]) ).
cnf(refute_0_1440,plain,
or(n0,and(and(b1,f2),not(c1))) = and(b1,and(f2,not(c1))),
inference(resolve,[$cnf( $equal(and(and(b1,f2),not(c1)),and(b1,and(f2,not(c1)))) )],[refute_0_1436,refute_0_1439]) ).
cnf(refute_0_1441,plain,
( and(b1,and(f2,not(c1))) != not(b3)
| or(n0,and(and(b1,f2),not(c1))) != and(b1,and(f2,not(c1)))
| or(n0,and(and(b1,f2),not(c1))) = not(b3) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(b1,f2),not(c1))))),bind(Y0,$fot(and(b1,and(f2,not(c1))))),bind(Z0,$fot(not(b3)))]]) ).
cnf(refute_0_1442,plain,
( and(b1,and(f2,not(c1))) != not(b3)
| or(n0,and(and(b1,f2),not(c1))) = not(b3) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b1,f2),not(c1))),and(b1,and(f2,not(c1)))) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
or(n0,and(and(b1,f2),not(c1))) = not(b3),
inference(resolve,[$cnf( $equal(and(b1,and(f2,not(c1))),not(b3)) )],[refute_0_1435,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( or(n0,and(and(b1,f2),not(c1))) != and(b1,f2)
| or(n0,and(and(b1,f2),not(c1))) != not(b3)
| not(b3) = and(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(b1,f2),not(c1))),and(b1,f2)) ),[0],$fot(not(b3))]]) ).
cnf(refute_0_1445,plain,
( or(n0,and(and(b1,f2),not(c1))) != and(b1,f2)
| not(b3) = and(b1,f2) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b1,f2),not(c1))),not(b3)) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
not(b3) = and(b1,f2),
inference(resolve,[$cnf( $equal(or(n0,and(and(b1,f2),not(c1))),and(b1,f2)) )],[refute_0_1377,refute_0_1445]) ).
cnf(refute_0_1447,plain,
( not(b3) != and(b1,f2)
| and(b1,f2) = not(b3) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(b3))),bind(Y0,$fot(and(b1,f2)))]]) ).
cnf(refute_0_1448,plain,
and(b1,f2) = not(b3),
inference(resolve,[$cnf( $equal(not(b3),and(b1,f2)) )],[refute_0_1446,refute_0_1447]) ).
cnf(refute_0_1449,plain,
or(c2,and(b1,f2)) = or(c2,and(b1,f2)),
introduced(tautology,[refl,[$fot(or(c2,and(b1,f2)))]]) ).
cnf(refute_0_1450,plain,
( and(b1,f2) != not(b3)
| or(c2,and(b1,f2)) != or(c2,and(b1,f2))
| or(c2,and(b1,f2)) = or(c2,not(b3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(c2,and(b1,f2)),or(c2,and(b1,f2))) ),[1,1],$fot(not(b3))]]) ).
cnf(refute_0_1451,plain,
( and(b1,f2) != not(b3)
| or(c2,and(b1,f2)) = or(c2,not(b3)) ),
inference(resolve,[$cnf( $equal(or(c2,and(b1,f2)),or(c2,and(b1,f2))) )],[refute_0_1449,refute_0_1450]) ).
cnf(refute_0_1452,plain,
or(c2,and(b1,f2)) = or(c2,not(b3)),
inference(resolve,[$cnf( $equal(and(b1,f2),not(b3)) )],[refute_0_1448,refute_0_1451]) ).
cnf(refute_0_1453,plain,
( or(c2,and(b1,f2)) != or(c2,not(b3))
| or(c2,not(b3)) != not(and(b3,f2))
| or(c2,and(b1,f2)) = not(and(b3,f2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(c2,and(b1,f2)))),bind(Y0,$fot(or(c2,not(b3)))),bind(Z0,$fot(not(and(b3,f2))))]]) ).
cnf(refute_0_1454,plain,
( or(c2,not(b3)) != not(and(b3,f2))
| or(c2,and(b1,f2)) = not(and(b3,f2)) ),
inference(resolve,[$cnf( $equal(or(c2,and(b1,f2)),or(c2,not(b3))) )],[refute_0_1452,refute_0_1453]) ).
cnf(refute_0_1455,plain,
or(c2,and(b1,f2)) = not(and(b3,f2)),
inference(resolve,[$cnf( $equal(or(c2,not(b3)),not(and(b3,f2))) )],[refute_0_978,refute_0_1454]) ).
cnf(refute_0_1456,plain,
( or(c2,and(b1,f2)) != not(and(b3,f2))
| or(c2,and(b1,f2)) != or(b1,c2)
| not(and(b3,f2)) = or(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(c2,and(b1,f2)),or(b1,c2)) ),[0],$fot(not(and(b3,f2)))]]) ).
cnf(refute_0_1457,plain,
( or(c2,and(b1,f2)) != or(b1,c2)
| not(and(b3,f2)) = or(b1,c2) ),
inference(resolve,[$cnf( $equal(or(c2,and(b1,f2)),not(and(b3,f2))) )],[refute_0_1455,refute_0_1456]) ).
cnf(refute_0_1458,plain,
not(and(b3,f2)) = or(b1,c2),
inference(resolve,[$cnf( $equal(or(c2,and(b1,f2)),or(b1,c2)) )],[refute_0_968,refute_0_1457]) ).
cnf(refute_0_1459,plain,
or(and(c1,and(b3,f2)),and(and(b3,f2),not(c1))) = and(b3,f2),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(c1)),bind(Y,$fot(and(b3,f2)))]]) ).
cnf(refute_0_1460,plain,
or(and(b1,and(c1,f2)),and(and(c1,f2),not(b1))) = and(c1,f2),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b1)),bind(Y,$fot(and(c1,f2)))]]) ).
cnf(refute_0_1461,plain,
and(and(b1,f2),and(c1,and(b1,f2))) = and(and(b1,f2),c1),
inference(subst,[],[refute_0_450:[bind(X,$fot(and(b1,f2))),bind(Y,$fot(c1))]]) ).
cnf(refute_0_1462,plain,
( and(and(b1,f2),and(c1,and(b1,f2))) != and(and(b1,f2),c1)
| and(c1,and(b1,f2)) != n0
| and(and(b1,f2),n0) = and(and(b1,f2),c1) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b1,f2),and(c1,and(b1,f2))),and(and(b1,f2),c1)) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_1463,plain,
( and(and(b1,f2),and(c1,and(b1,f2))) != and(and(b1,f2),c1)
| and(and(b1,f2),n0) = and(and(b1,f2),c1) ),
inference(resolve,[$cnf( $equal(and(c1,and(b1,f2)),n0) )],[refute_0_1374,refute_0_1462]) ).
cnf(refute_0_1464,plain,
and(and(b1,f2),n0) = and(and(b1,f2),c1),
inference(resolve,[$cnf( $equal(and(and(b1,f2),and(c1,and(b1,f2))),and(and(b1,f2),c1)) )],[refute_0_1461,refute_0_1463]) ).
cnf(refute_0_1465,plain,
and(b1,n0) = n0,
inference(subst,[],[and_definition1:[bind(X,$fot(b1))]]) ).
cnf(refute_0_1466,plain,
and(f2,n0) = n0,
inference(subst,[],[and_definition1:[bind(X,$fot(f2))]]) ).
cnf(refute_0_1467,plain,
and(b1,and(f2,n0)) = and(b1,and(f2,n0)),
introduced(tautology,[refl,[$fot(and(b1,and(f2,n0)))]]) ).
cnf(refute_0_1468,plain,
( and(b1,and(f2,n0)) != and(b1,and(f2,n0))
| and(f2,n0) != n0
| and(b1,and(f2,n0)) = and(b1,n0) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(f2,n0)),and(b1,and(f2,n0))) ),[1,1],$fot(n0)]]) ).
cnf(refute_0_1469,plain,
( and(f2,n0) != n0
| and(b1,and(f2,n0)) = and(b1,n0) ),
inference(resolve,[$cnf( $equal(and(b1,and(f2,n0)),and(b1,and(f2,n0))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
and(b1,and(f2,n0)) = and(b1,n0),
inference(resolve,[$cnf( $equal(and(f2,n0),n0) )],[refute_0_1466,refute_0_1469]) ).
cnf(refute_0_1471,plain,
( and(b1,and(f2,n0)) != and(b1,n0)
| and(b1,n0) != n0
| and(b1,and(f2,n0)) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b1,and(f2,n0)))),bind(Y0,$fot(and(b1,n0))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_1472,plain,
( and(b1,n0) != n0
| and(b1,and(f2,n0)) = n0 ),
inference(resolve,[$cnf( $equal(and(b1,and(f2,n0)),and(b1,n0)) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
and(b1,and(f2,n0)) = n0,
inference(resolve,[$cnf( $equal(and(b1,n0),n0) )],[refute_0_1465,refute_0_1472]) ).
cnf(refute_0_1474,plain,
and(and(b1,f2),n0) = and(b1,and(f2,n0)),
inference(subst,[],[refute_0_202:[bind(X,$fot(b1)),bind(Y,$fot(f2)),bind(Z,$fot(n0))]]) ).
cnf(refute_0_1475,plain,
( and(and(b1,f2),n0) != and(b1,and(f2,n0))
| and(b1,and(f2,n0)) != n0
| and(and(b1,f2),n0) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(b1,f2),n0))),bind(Y0,$fot(and(b1,and(f2,n0)))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_1476,plain,
( and(b1,and(f2,n0)) != n0
| and(and(b1,f2),n0) = n0 ),
inference(resolve,[$cnf( $equal(and(and(b1,f2),n0),and(b1,and(f2,n0))) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
and(and(b1,f2),n0) = n0,
inference(resolve,[$cnf( $equal(and(b1,and(f2,n0)),n0) )],[refute_0_1473,refute_0_1476]) ).
cnf(refute_0_1478,plain,
( and(and(b1,f2),n0) != and(and(b1,f2),c1)
| and(and(b1,f2),n0) != n0
| n0 = and(and(b1,f2),c1) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b1,f2),n0),and(and(b1,f2),c1)) ),[0],$fot(n0)]]) ).
cnf(refute_0_1479,plain,
( and(and(b1,f2),n0) != and(and(b1,f2),c1)
| n0 = and(and(b1,f2),c1) ),
inference(resolve,[$cnf( $equal(and(and(b1,f2),n0),n0) )],[refute_0_1477,refute_0_1478]) ).
cnf(refute_0_1480,plain,
and(b1,and(f2,c1)) = and(b1,and(c1,f2)),
inference(subst,[],[refute_0_944:[bind(X,$fot(b1)),bind(Y,$fot(c1)),bind(Z,$fot(f2))]]) ).
cnf(refute_0_1481,plain,
and(and(b1,f2),c1) = and(b1,and(f2,c1)),
inference(subst,[],[refute_0_202:[bind(X,$fot(b1)),bind(Y,$fot(f2)),bind(Z,$fot(c1))]]) ).
cnf(refute_0_1482,plain,
( and(and(b1,f2),c1) != and(b1,and(f2,c1))
| and(b1,and(f2,c1)) != and(b1,and(c1,f2))
| and(and(b1,f2),c1) = and(b1,and(c1,f2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(b1,f2),c1))),bind(Y0,$fot(and(b1,and(f2,c1)))),bind(Z0,$fot(and(b1,and(c1,f2))))]]) ).
cnf(refute_0_1483,plain,
( and(b1,and(f2,c1)) != and(b1,and(c1,f2))
| and(and(b1,f2),c1) = and(b1,and(c1,f2)) ),
inference(resolve,[$cnf( $equal(and(and(b1,f2),c1),and(b1,and(f2,c1))) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
and(and(b1,f2),c1) = and(b1,and(c1,f2)),
inference(resolve,[$cnf( $equal(and(b1,and(f2,c1)),and(b1,and(c1,f2))) )],[refute_0_1480,refute_0_1483]) ).
cnf(refute_0_1485,plain,
( and(and(b1,f2),c1) != and(b1,and(c1,f2))
| n0 != and(and(b1,f2),c1)
| n0 = and(b1,and(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(n0,and(and(b1,f2),c1)) ),[1],$fot(and(b1,and(c1,f2)))]]) ).
cnf(refute_0_1486,plain,
( n0 != and(and(b1,f2),c1)
| n0 = and(b1,and(c1,f2)) ),
inference(resolve,[$cnf( $equal(and(and(b1,f2),c1),and(b1,and(c1,f2))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
( and(and(b1,f2),n0) != and(and(b1,f2),c1)
| n0 = and(b1,and(c1,f2)) ),
inference(resolve,[$cnf( $equal(n0,and(and(b1,f2),c1)) )],[refute_0_1479,refute_0_1486]) ).
cnf(refute_0_1488,plain,
n0 = and(b1,and(c1,f2)),
inference(resolve,[$cnf( $equal(and(and(b1,f2),n0),and(and(b1,f2),c1)) )],[refute_0_1464,refute_0_1487]) ).
cnf(refute_0_1489,plain,
( n0 != and(b1,and(c1,f2))
| and(b1,and(c1,f2)) = n0 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n0)),bind(Y0,$fot(and(b1,and(c1,f2))))]]) ).
cnf(refute_0_1490,plain,
and(b1,and(c1,f2)) = n0,
inference(resolve,[$cnf( $equal(n0,and(b1,and(c1,f2))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
( and(b1,and(c1,f2)) != n0
| or(and(b1,and(c1,f2)),and(and(c1,f2),not(b1))) != and(c1,f2)
| or(n0,and(and(c1,f2),not(b1))) = and(c1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b1,and(c1,f2)),and(and(c1,f2),not(b1))),and(c1,f2)) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_1492,plain,
( or(and(b1,and(c1,f2)),and(and(c1,f2),not(b1))) != and(c1,f2)
| or(n0,and(and(c1,f2),not(b1))) = and(c1,f2) ),
inference(resolve,[$cnf( $equal(and(b1,and(c1,f2)),n0) )],[refute_0_1490,refute_0_1491]) ).
cnf(refute_0_1493,plain,
or(n0,and(and(c1,f2),not(b1))) = and(c1,f2),
inference(resolve,[$cnf( $equal(or(and(b1,and(c1,f2)),and(and(c1,f2),not(b1))),and(c1,f2)) )],[refute_0_1460,refute_0_1492]) ).
cnf(refute_0_1494,plain,
not(not(and(f2,or(c2,d1)))) = and(f2,or(c2,d1)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(f2,or(c2,d1))))]]) ).
cnf(refute_0_1495,plain,
not(and(or(d1,i2),f2)) = or(i2,not(or(d1,i2))),
inference(subst,[],[refute_0_555:[bind(X_109,$fot(or(d1,i2)))]]) ).
cnf(refute_0_1496,plain,
not(not(and(b1,f2))) = and(b1,f2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b1,f2)))]]) ).
cnf(refute_0_1497,plain,
( not(and(b1,f2)) != or(d1,i2)
| not(not(and(b1,f2))) != and(b1,f2)
| not(or(d1,i2)) = and(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b1,f2))),and(b1,f2)) ),[0,0],$fot(or(d1,i2))]]) ).
cnf(refute_0_1498,plain,
( not(not(and(b1,f2))) != and(b1,f2)
| not(or(d1,i2)) = and(b1,f2) ),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),or(d1,i2)) )],[refute_0_1224,refute_0_1497]) ).
cnf(refute_0_1499,plain,
not(or(d1,i2)) = and(b1,f2),
inference(resolve,[$cnf( $equal(not(not(and(b1,f2))),and(b1,f2)) )],[refute_0_1496,refute_0_1498]) ).
cnf(refute_0_1500,plain,
( not(and(or(d1,i2),f2)) != or(i2,not(or(d1,i2)))
| not(or(d1,i2)) != and(b1,f2)
| not(and(or(d1,i2),f2)) = or(i2,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(d1,i2),f2)),or(i2,not(or(d1,i2)))) ),[1,1],$fot(and(b1,f2))]]) ).
cnf(refute_0_1501,plain,
( not(and(or(d1,i2),f2)) != or(i2,not(or(d1,i2)))
| not(and(or(d1,i2),f2)) = or(i2,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(d1,i2)),and(b1,f2)) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
not(and(or(d1,i2),f2)) = or(i2,and(b1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(d1,i2),f2)),or(i2,not(or(d1,i2)))) )],[refute_0_1495,refute_0_1501]) ).
cnf(refute_0_1503,plain,
not(and(or(d1,i2),f2)) = not(and(f2,or(d1,i2))),
inference(subst,[],[refute_0_637:[bind(X_113,$fot(or(d1,i2)))]]) ).
cnf(refute_0_1504,plain,
( not(and(or(d1,i2),f2)) != not(and(f2,or(d1,i2)))
| not(and(or(d1,i2),f2)) != or(i2,and(b1,f2))
| not(and(f2,or(d1,i2))) = or(i2,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(d1,i2),f2)),or(i2,and(b1,f2))) ),[0],$fot(not(and(f2,or(d1,i2))))]]) ).
cnf(refute_0_1505,plain,
( not(and(or(d1,i2),f2)) != or(i2,and(b1,f2))
| not(and(f2,or(d1,i2))) = or(i2,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(d1,i2),f2)),not(and(f2,or(d1,i2)))) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
not(and(f2,or(d1,i2))) = or(i2,and(b1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(d1,i2),f2)),or(i2,and(b1,f2))) )],[refute_0_1502,refute_0_1505]) ).
cnf(refute_0_1507,plain,
and(f2,or(d1,i2)) = and(f2,or(d1,i2)),
introduced(tautology,[refl,[$fot(and(f2,or(d1,i2)))]]) ).
cnf(refute_0_1508,plain,
( and(f2,or(d1,i2)) != and(f2,or(d1,i2))
| or(d1,i2) != or(c2,d1)
| and(f2,or(d1,i2)) = and(f2,or(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,or(d1,i2)),and(f2,or(d1,i2))) ),[1,1],$fot(or(c2,d1))]]) ).
cnf(refute_0_1509,plain,
( or(d1,i2) != or(c2,d1)
| and(f2,or(d1,i2)) = and(f2,or(c2,d1)) ),
inference(resolve,[$cnf( $equal(and(f2,or(d1,i2)),and(f2,or(d1,i2))) )],[refute_0_1507,refute_0_1508]) ).
cnf(refute_0_1510,plain,
and(f2,or(d1,i2)) = and(f2,or(c2,d1)),
inference(resolve,[$cnf( $equal(or(d1,i2),or(c2,d1)) )],[refute_0_1274,refute_0_1509]) ).
cnf(refute_0_1511,plain,
not(and(f2,or(d1,i2))) = not(and(f2,or(d1,i2))),
introduced(tautology,[refl,[$fot(not(and(f2,or(d1,i2))))]]) ).
cnf(refute_0_1512,plain,
( and(f2,or(d1,i2)) != and(f2,or(c2,d1))
| not(and(f2,or(d1,i2))) != not(and(f2,or(d1,i2)))
| not(and(f2,or(d1,i2))) = not(and(f2,or(c2,d1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,or(d1,i2))),not(and(f2,or(d1,i2)))) ),[1,0],$fot(and(f2,or(c2,d1)))]]) ).
cnf(refute_0_1513,plain,
( and(f2,or(d1,i2)) != and(f2,or(c2,d1))
| not(and(f2,or(d1,i2))) = not(and(f2,or(c2,d1))) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(d1,i2))),not(and(f2,or(d1,i2)))) )],[refute_0_1511,refute_0_1512]) ).
cnf(refute_0_1514,plain,
not(and(f2,or(d1,i2))) = not(and(f2,or(c2,d1))),
inference(resolve,[$cnf( $equal(and(f2,or(d1,i2)),and(f2,or(c2,d1))) )],[refute_0_1510,refute_0_1513]) ).
cnf(refute_0_1515,plain,
( not(and(f2,or(d1,i2))) != not(and(f2,or(c2,d1)))
| not(and(f2,or(d1,i2))) != or(i2,and(b1,f2))
| not(and(f2,or(c2,d1))) = or(i2,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f2,or(d1,i2))),or(i2,and(b1,f2))) ),[0],$fot(not(and(f2,or(c2,d1))))]]) ).
cnf(refute_0_1516,plain,
( not(and(f2,or(d1,i2))) != or(i2,and(b1,f2))
| not(and(f2,or(c2,d1))) = or(i2,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(d1,i2))),not(and(f2,or(c2,d1)))) )],[refute_0_1514,refute_0_1515]) ).
cnf(refute_0_1517,plain,
or(i2,and(b1,f2)) = or(i2,and(b1,f2)),
introduced(tautology,[refl,[$fot(or(i2,and(b1,f2)))]]) ).
cnf(refute_0_1518,plain,
( i2 != c2
| or(i2,and(b1,f2)) != or(i2,and(b1,f2))
| or(i2,and(b1,f2)) = or(c2,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(i2,and(b1,f2)),or(i2,and(b1,f2))) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_1519,plain,
( i2 != c2
| or(i2,and(b1,f2)) = or(c2,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(or(i2,and(b1,f2)),or(i2,and(b1,f2))) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
or(i2,and(b1,f2)) = or(c2,and(b1,f2)),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_1519]) ).
cnf(refute_0_1521,plain,
( not(and(f2,or(c2,d1))) != or(i2,and(b1,f2))
| or(i2,and(b1,f2)) != or(c2,and(b1,f2))
| not(and(f2,or(c2,d1))) = or(c2,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f2,or(c2,d1))),or(c2,and(b1,f2))) ),[0],$fot(or(i2,and(b1,f2)))]]) ).
cnf(refute_0_1522,plain,
( not(and(f2,or(c2,d1))) != or(i2,and(b1,f2))
| not(and(f2,or(c2,d1))) = or(c2,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(or(i2,and(b1,f2)),or(c2,and(b1,f2))) )],[refute_0_1520,refute_0_1521]) ).
cnf(refute_0_1523,plain,
( not(and(f2,or(d1,i2))) != or(i2,and(b1,f2))
| not(and(f2,or(c2,d1))) = or(c2,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(c2,d1))),or(i2,and(b1,f2))) )],[refute_0_1516,refute_0_1522]) ).
cnf(refute_0_1524,plain,
not(and(f2,or(c2,d1))) = or(c2,and(b1,f2)),
inference(resolve,[$cnf( $equal(not(and(f2,or(d1,i2))),or(i2,and(b1,f2))) )],[refute_0_1506,refute_0_1523]) ).
cnf(refute_0_1525,plain,
( not(and(f2,or(c2,d1))) != or(c2,and(b1,f2))
| not(not(and(f2,or(c2,d1)))) != and(f2,or(c2,d1))
| not(or(c2,and(b1,f2))) = and(f2,or(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(f2,or(c2,d1)))),and(f2,or(c2,d1))) ),[0,0],$fot(or(c2,and(b1,f2)))]]) ).
cnf(refute_0_1526,plain,
( not(not(and(f2,or(c2,d1)))) != and(f2,or(c2,d1))
| not(or(c2,and(b1,f2))) = and(f2,or(c2,d1)) ),
inference(resolve,[$cnf( $equal(not(and(f2,or(c2,d1))),or(c2,and(b1,f2))) )],[refute_0_1524,refute_0_1525]) ).
cnf(refute_0_1527,plain,
not(or(c2,and(b1,f2))) = and(f2,or(c2,d1)),
inference(resolve,[$cnf( $equal(not(not(and(f2,or(c2,d1)))),and(f2,or(c2,d1))) )],[refute_0_1494,refute_0_1526]) ).
cnf(refute_0_1528,plain,
not(or(c2,and(b1,f2))) = not(or(c2,and(b1,f2))),
introduced(tautology,[refl,[$fot(not(or(c2,and(b1,f2))))]]) ).
cnf(refute_0_1529,plain,
( not(or(c2,and(b1,f2))) != not(or(c2,and(b1,f2)))
| or(c2,and(b1,f2)) != or(b1,c2)
| not(or(c2,and(b1,f2))) = not(or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(c2,and(b1,f2))),not(or(c2,and(b1,f2)))) ),[1,0],$fot(or(b1,c2))]]) ).
cnf(refute_0_1530,plain,
( or(c2,and(b1,f2)) != or(b1,c2)
| not(or(c2,and(b1,f2))) = not(or(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(or(c2,and(b1,f2))),not(or(c2,and(b1,f2)))) )],[refute_0_1528,refute_0_1529]) ).
cnf(refute_0_1531,plain,
not(or(c2,and(b1,f2))) = not(or(b1,c2)),
inference(resolve,[$cnf( $equal(or(c2,and(b1,f2)),or(b1,c2)) )],[refute_0_968,refute_0_1530]) ).
cnf(refute_0_1532,plain,
( not(or(b1,c2)) != and(d1,f2)
| not(or(c2,and(b1,f2))) != not(or(b1,c2))
| not(or(c2,and(b1,f2))) = and(d1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(or(c2,and(b1,f2))))),bind(Y0,$fot(not(or(b1,c2)))),bind(Z0,$fot(and(d1,f2)))]]) ).
cnf(refute_0_1533,plain,
( not(or(b1,c2)) != and(d1,f2)
| not(or(c2,and(b1,f2))) = and(d1,f2) ),
inference(resolve,[$cnf( $equal(not(or(c2,and(b1,f2))),not(or(b1,c2))) )],[refute_0_1531,refute_0_1532]) ).
cnf(refute_0_1534,plain,
not(or(c2,and(b1,f2))) = and(d1,f2),
inference(resolve,[$cnf( $equal(not(or(b1,c2)),and(d1,f2)) )],[refute_0_866,refute_0_1533]) ).
cnf(refute_0_1535,plain,
( not(or(c2,and(b1,f2))) != and(d1,f2)
| not(or(c2,and(b1,f2))) != and(f2,or(c2,d1))
| and(d1,f2) = and(f2,or(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(c2,and(b1,f2))),and(f2,or(c2,d1))) ),[0],$fot(and(d1,f2))]]) ).
cnf(refute_0_1536,plain,
( not(or(c2,and(b1,f2))) != and(f2,or(c2,d1))
| and(d1,f2) = and(f2,or(c2,d1)) ),
inference(resolve,[$cnf( $equal(not(or(c2,and(b1,f2))),and(d1,f2)) )],[refute_0_1534,refute_0_1535]) ).
cnf(refute_0_1537,plain,
and(d1,f2) = and(f2,or(c2,d1)),
inference(resolve,[$cnf( $equal(not(or(c2,and(b1,f2))),and(f2,or(c2,d1))) )],[refute_0_1527,refute_0_1536]) ).
cnf(refute_0_1538,plain,
and(f2,b3) = and(b3,f2),
inference(subst,[],[refute_0_129:[bind(X,$fot(b3)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_1539,plain,
not(not(b3)) = b3,
inference(subst,[],[not_simplification:[bind(X,$fot(b3))]]) ).
cnf(refute_0_1540,plain,
not(and(b1,f2)) = not(and(b1,f2)),
introduced(tautology,[refl,[$fot(not(and(b1,f2)))]]) ).
cnf(refute_0_1541,plain,
( and(b1,f2) != not(b3)
| not(and(b1,f2)) != not(and(b1,f2))
| not(and(b1,f2)) = not(not(b3)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,f2)),not(and(b1,f2))) ),[1,0],$fot(not(b3))]]) ).
cnf(refute_0_1542,plain,
( and(b1,f2) != not(b3)
| not(and(b1,f2)) = not(not(b3)) ),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),not(and(b1,f2))) )],[refute_0_1540,refute_0_1541]) ).
cnf(refute_0_1543,plain,
not(and(b1,f2)) = not(not(b3)),
inference(resolve,[$cnf( $equal(and(b1,f2),not(b3)) )],[refute_0_1448,refute_0_1542]) ).
cnf(refute_0_1544,plain,
( not(and(b1,f2)) != not(not(b3))
| not(not(b3)) != b3
| not(and(b1,f2)) = b3 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(b1,f2)))),bind(Y0,$fot(not(not(b3)))),bind(Z0,$fot(b3))]]) ).
cnf(refute_0_1545,plain,
( not(not(b3)) != b3
| not(and(b1,f2)) = b3 ),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),not(not(b3))) )],[refute_0_1543,refute_0_1544]) ).
cnf(refute_0_1546,plain,
not(and(b1,f2)) = b3,
inference(resolve,[$cnf( $equal(not(not(b3)),b3) )],[refute_0_1539,refute_0_1545]) ).
cnf(refute_0_1547,plain,
( not(and(b1,f2)) != b3
| not(and(b1,f2)) != or(c2,d1)
| b3 = or(c2,d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,f2)),or(c2,d1)) ),[0],$fot(b3)]]) ).
cnf(refute_0_1548,plain,
( not(and(b1,f2)) != or(c2,d1)
| b3 = or(c2,d1) ),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),b3) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
b3 = or(c2,d1),
inference(resolve,[$cnf( $equal(not(and(b1,f2)),or(c2,d1)) )],[refute_0_1294,refute_0_1548]) ).
cnf(refute_0_1550,plain,
( b3 != or(c2,d1)
| or(c2,d1) = b3 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b3)),bind(Y0,$fot(or(c2,d1)))]]) ).
cnf(refute_0_1551,plain,
or(c2,d1) = b3,
inference(resolve,[$cnf( $equal(b3,or(c2,d1)) )],[refute_0_1549,refute_0_1550]) ).
cnf(refute_0_1552,plain,
and(f2,or(c2,d1)) = and(f2,or(c2,d1)),
introduced(tautology,[refl,[$fot(and(f2,or(c2,d1)))]]) ).
cnf(refute_0_1553,plain,
( and(f2,or(c2,d1)) != and(f2,or(c2,d1))
| or(c2,d1) != b3
| and(f2,or(c2,d1)) = and(f2,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,or(c2,d1)),and(f2,or(c2,d1))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_1554,plain,
( or(c2,d1) != b3
| and(f2,or(c2,d1)) = and(f2,b3) ),
inference(resolve,[$cnf( $equal(and(f2,or(c2,d1)),and(f2,or(c2,d1))) )],[refute_0_1552,refute_0_1553]) ).
cnf(refute_0_1555,plain,
and(f2,or(c2,d1)) = and(f2,b3),
inference(resolve,[$cnf( $equal(or(c2,d1),b3) )],[refute_0_1551,refute_0_1554]) ).
cnf(refute_0_1556,plain,
( and(f2,b3) != and(b3,f2)
| and(f2,or(c2,d1)) != and(f2,b3)
| and(f2,or(c2,d1)) = and(b3,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f2,or(c2,d1)))),bind(Y0,$fot(and(f2,b3))),bind(Z0,$fot(and(b3,f2)))]]) ).
cnf(refute_0_1557,plain,
( and(f2,b3) != and(b3,f2)
| and(f2,or(c2,d1)) = and(b3,f2) ),
inference(resolve,[$cnf( $equal(and(f2,or(c2,d1)),and(f2,b3)) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
and(f2,or(c2,d1)) = and(b3,f2),
inference(resolve,[$cnf( $equal(and(f2,b3),and(b3,f2)) )],[refute_0_1538,refute_0_1557]) ).
cnf(refute_0_1559,plain,
( and(d1,f2) != and(f2,or(c2,d1))
| and(f2,or(c2,d1)) != and(b3,f2)
| and(d1,f2) = and(b3,f2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(d1,f2),and(b3,f2)) ),[0],$fot(and(f2,or(c2,d1)))]]) ).
cnf(refute_0_1560,plain,
( and(d1,f2) != and(f2,or(c2,d1))
| and(d1,f2) = and(b3,f2) ),
inference(resolve,[$cnf( $equal(and(f2,or(c2,d1)),and(b3,f2)) )],[refute_0_1558,refute_0_1559]) ).
cnf(refute_0_1561,plain,
and(d1,f2) = and(b3,f2),
inference(resolve,[$cnf( $equal(and(d1,f2),and(f2,or(c2,d1))) )],[refute_0_1537,refute_0_1560]) ).
cnf(refute_0_1562,plain,
and(f2,d1) = and(d1,f2),
inference(subst,[],[refute_0_129:[bind(X,$fot(d1)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_1563,plain,
( and(d1,f2) != and(b3,f2)
| and(f2,d1) != and(d1,f2)
| and(f2,d1) = and(b3,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f2,d1))),bind(Y0,$fot(and(d1,f2))),bind(Z0,$fot(and(b3,f2)))]]) ).
cnf(refute_0_1564,plain,
( and(d1,f2) != and(b3,f2)
| and(f2,d1) = and(b3,f2) ),
inference(resolve,[$cnf( $equal(and(f2,d1),and(d1,f2)) )],[refute_0_1562,refute_0_1563]) ).
cnf(refute_0_1565,plain,
and(f2,d1) = and(b3,f2),
inference(resolve,[$cnf( $equal(and(d1,f2),and(b3,f2)) )],[refute_0_1561,refute_0_1564]) ).
cnf(refute_0_1566,plain,
and(f2,not(b1)) = and(f2,not(b1)),
introduced(tautology,[refl,[$fot(and(f2,not(b1)))]]) ).
cnf(refute_0_1567,plain,
( and(f2,not(b1)) != and(f2,not(b1))
| not(b1) != d1
| and(f2,not(b1)) = and(f2,d1) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,not(b1)),and(f2,not(b1))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_1568,plain,
( not(b1) != d1
| and(f2,not(b1)) = and(f2,d1) ),
inference(resolve,[$cnf( $equal(and(f2,not(b1)),and(f2,not(b1))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
and(f2,not(b1)) = and(f2,d1),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_1568]) ).
cnf(refute_0_1570,plain,
( and(f2,d1) != and(b3,f2)
| and(f2,not(b1)) != and(f2,d1)
| and(f2,not(b1)) = and(b3,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f2,not(b1)))),bind(Y0,$fot(and(f2,d1))),bind(Z0,$fot(and(b3,f2)))]]) ).
cnf(refute_0_1571,plain,
( and(f2,d1) != and(b3,f2)
| and(f2,not(b1)) = and(b3,f2) ),
inference(resolve,[$cnf( $equal(and(f2,not(b1)),and(f2,d1)) )],[refute_0_1569,refute_0_1570]) ).
cnf(refute_0_1572,plain,
and(f2,not(b1)) = and(b3,f2),
inference(resolve,[$cnf( $equal(and(f2,d1),and(b3,f2)) )],[refute_0_1565,refute_0_1571]) ).
cnf(refute_0_1573,plain,
and(c1,and(f2,not(b1))) = and(c1,and(f2,not(b1))),
introduced(tautology,[refl,[$fot(and(c1,and(f2,not(b1))))]]) ).
cnf(refute_0_1574,plain,
( and(c1,and(f2,not(b1))) != and(c1,and(f2,not(b1)))
| and(f2,not(b1)) != and(b3,f2)
| and(c1,and(f2,not(b1))) = and(c1,and(b3,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(f2,not(b1))),and(c1,and(f2,not(b1)))) ),[1,1],$fot(and(b3,f2))]]) ).
cnf(refute_0_1575,plain,
( and(f2,not(b1)) != and(b3,f2)
| and(c1,and(f2,not(b1))) = and(c1,and(b3,f2)) ),
inference(resolve,[$cnf( $equal(and(c1,and(f2,not(b1))),and(c1,and(f2,not(b1)))) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
and(c1,and(f2,not(b1))) = and(c1,and(b3,f2)),
inference(resolve,[$cnf( $equal(and(f2,not(b1)),and(b3,f2)) )],[refute_0_1572,refute_0_1575]) ).
cnf(refute_0_1577,plain,
and(and(c1,f2),not(b1)) = and(c1,and(f2,not(b1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(c1)),bind(Y,$fot(f2)),bind(Z,$fot(not(b1)))]]) ).
cnf(refute_0_1578,plain,
or(n0,and(and(c1,f2),not(b1))) = and(and(c1,f2),not(b1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(c1,f2),not(b1))))]]) ).
cnf(refute_0_1579,plain,
( and(and(c1,f2),not(b1)) != and(c1,and(f2,not(b1)))
| or(n0,and(and(c1,f2),not(b1))) != and(and(c1,f2),not(b1))
| or(n0,and(and(c1,f2),not(b1))) = and(c1,and(f2,not(b1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(c1,f2),not(b1))))),bind(Y0,$fot(and(and(c1,f2),not(b1)))),bind(Z0,$fot(and(c1,and(f2,not(b1)))))]]) ).
cnf(refute_0_1580,plain,
( and(and(c1,f2),not(b1)) != and(c1,and(f2,not(b1)))
| or(n0,and(and(c1,f2),not(b1))) = and(c1,and(f2,not(b1))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(c1,f2),not(b1))),and(and(c1,f2),not(b1))) )],[refute_0_1578,refute_0_1579]) ).
cnf(refute_0_1581,plain,
or(n0,and(and(c1,f2),not(b1))) = and(c1,and(f2,not(b1))),
inference(resolve,[$cnf( $equal(and(and(c1,f2),not(b1)),and(c1,and(f2,not(b1)))) )],[refute_0_1577,refute_0_1580]) ).
cnf(refute_0_1582,plain,
( and(c1,and(f2,not(b1))) != and(c1,and(b3,f2))
| or(n0,and(and(c1,f2),not(b1))) != and(c1,and(f2,not(b1)))
| or(n0,and(and(c1,f2),not(b1))) = and(c1,and(b3,f2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(c1,f2),not(b1))))),bind(Y0,$fot(and(c1,and(f2,not(b1))))),bind(Z0,$fot(and(c1,and(b3,f2))))]]) ).
cnf(refute_0_1583,plain,
( and(c1,and(f2,not(b1))) != and(c1,and(b3,f2))
| or(n0,and(and(c1,f2),not(b1))) = and(c1,and(b3,f2)) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(c1,f2),not(b1))),and(c1,and(f2,not(b1)))) )],[refute_0_1581,refute_0_1582]) ).
cnf(refute_0_1584,plain,
or(n0,and(and(c1,f2),not(b1))) = and(c1,and(b3,f2)),
inference(resolve,[$cnf( $equal(and(c1,and(f2,not(b1))),and(c1,and(b3,f2))) )],[refute_0_1576,refute_0_1583]) ).
cnf(refute_0_1585,plain,
( or(n0,and(and(c1,f2),not(b1))) != and(c1,and(b3,f2))
| or(n0,and(and(c1,f2),not(b1))) != and(c1,f2)
| and(c1,and(b3,f2)) = and(c1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(c1,f2),not(b1))),and(c1,f2)) ),[0],$fot(and(c1,and(b3,f2)))]]) ).
cnf(refute_0_1586,plain,
( or(n0,and(and(c1,f2),not(b1))) != and(c1,f2)
| and(c1,and(b3,f2)) = and(c1,f2) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(c1,f2),not(b1))),and(c1,and(b3,f2))) )],[refute_0_1584,refute_0_1585]) ).
cnf(refute_0_1587,plain,
and(c1,and(b3,f2)) = and(c1,f2),
inference(resolve,[$cnf( $equal(or(n0,and(and(c1,f2),not(b1))),and(c1,f2)) )],[refute_0_1493,refute_0_1586]) ).
cnf(refute_0_1588,plain,
( and(c1,and(b3,f2)) != and(c1,f2)
| or(and(c1,and(b3,f2)),and(and(b3,f2),not(c1))) != and(b3,f2)
| or(and(c1,f2),and(and(b3,f2),not(c1))) = and(b3,f2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c1,and(b3,f2)),and(and(b3,f2),not(c1))),and(b3,f2)) ),[0,0],$fot(and(c1,f2))]]) ).
cnf(refute_0_1589,plain,
( or(and(c1,and(b3,f2)),and(and(b3,f2),not(c1))) != and(b3,f2)
| or(and(c1,f2),and(and(b3,f2),not(c1))) = and(b3,f2) ),
inference(resolve,[$cnf( $equal(and(c1,and(b3,f2)),and(c1,f2)) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
or(and(c1,f2),and(and(b3,f2),not(c1))) = and(b3,f2),
inference(resolve,[$cnf( $equal(or(and(c1,and(b3,f2)),and(and(b3,f2),not(c1))),and(b3,f2)) )],[refute_0_1459,refute_0_1589]) ).
cnf(refute_0_1591,plain,
or(n0,and(c1,f2)) = and(c1,f2),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(c1,f2)))]]) ).
cnf(refute_0_1592,plain,
or(and(c1,f2),n0) = or(n0,and(c1,f2)),
inference(subst,[],[refute_0_37:[bind(X,$fot(n0)),bind(Y,$fot(and(c1,f2)))]]) ).
cnf(refute_0_1593,plain,
( or(and(c1,f2),n0) != or(n0,and(c1,f2))
| or(n0,and(c1,f2)) != and(c1,f2)
| or(and(c1,f2),n0) = and(c1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(c1,f2),n0))),bind(Y0,$fot(or(n0,and(c1,f2)))),bind(Z0,$fot(and(c1,f2)))]]) ).
cnf(refute_0_1594,plain,
( or(n0,and(c1,f2)) != and(c1,f2)
| or(and(c1,f2),n0) = and(c1,f2) ),
inference(resolve,[$cnf( $equal(or(and(c1,f2),n0),or(n0,and(c1,f2))) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
or(and(c1,f2),n0) = and(c1,f2),
inference(resolve,[$cnf( $equal(or(n0,and(c1,f2)),and(c1,f2)) )],[refute_0_1591,refute_0_1594]) ).
cnf(refute_0_1596,plain,
and(b3,not(b3)) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(b3))]]) ).
cnf(refute_0_1597,plain,
and(b3,and(f2,not(c1))) = and(b3,and(f2,not(c1))),
introduced(tautology,[refl,[$fot(and(b3,and(f2,not(c1))))]]) ).
cnf(refute_0_1598,plain,
( and(b3,and(f2,not(c1))) != and(b3,and(f2,not(c1)))
| and(f2,not(c1)) != not(b3)
| and(b3,and(f2,not(c1))) = and(b3,not(b3)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b3,and(f2,not(c1))),and(b3,and(f2,not(c1)))) ),[1,1],$fot(not(b3))]]) ).
cnf(refute_0_1599,plain,
( and(f2,not(c1)) != not(b3)
| and(b3,and(f2,not(c1))) = and(b3,not(b3)) ),
inference(resolve,[$cnf( $equal(and(b3,and(f2,not(c1))),and(b3,and(f2,not(c1)))) )],[refute_0_1597,refute_0_1598]) ).
cnf(refute_0_1600,plain,
and(b3,and(f2,not(c1))) = and(b3,not(b3)),
inference(resolve,[$cnf( $equal(and(f2,not(c1)),not(b3)) )],[refute_0_1428,refute_0_1599]) ).
cnf(refute_0_1601,plain,
( and(b3,and(f2,not(c1))) != and(b3,not(b3))
| and(b3,not(b3)) != n0
| and(b3,and(f2,not(c1))) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b3,and(f2,not(c1))))),bind(Y0,$fot(and(b3,not(b3)))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_1602,plain,
( and(b3,not(b3)) != n0
| and(b3,and(f2,not(c1))) = n0 ),
inference(resolve,[$cnf( $equal(and(b3,and(f2,not(c1))),and(b3,not(b3))) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
and(b3,and(f2,not(c1))) = n0,
inference(resolve,[$cnf( $equal(and(b3,not(b3)),n0) )],[refute_0_1596,refute_0_1602]) ).
cnf(refute_0_1604,plain,
and(and(b3,f2),not(c1)) = and(b3,and(f2,not(c1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(b3)),bind(Y,$fot(f2)),bind(Z,$fot(not(c1)))]]) ).
cnf(refute_0_1605,plain,
( and(and(b3,f2),not(c1)) != and(b3,and(f2,not(c1)))
| and(b3,and(f2,not(c1))) != n0
| and(and(b3,f2),not(c1)) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(b3,f2),not(c1)))),bind(Y0,$fot(and(b3,and(f2,not(c1))))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_1606,plain,
( and(b3,and(f2,not(c1))) != n0
| and(and(b3,f2),not(c1)) = n0 ),
inference(resolve,[$cnf( $equal(and(and(b3,f2),not(c1)),and(b3,and(f2,not(c1)))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
and(and(b3,f2),not(c1)) = n0,
inference(resolve,[$cnf( $equal(and(b3,and(f2,not(c1))),n0) )],[refute_0_1603,refute_0_1606]) ).
cnf(refute_0_1608,plain,
or(and(c1,f2),and(and(b3,f2),not(c1))) = or(and(c1,f2),and(and(b3,f2),not(c1))),
introduced(tautology,[refl,[$fot(or(and(c1,f2),and(and(b3,f2),not(c1))))]]) ).
cnf(refute_0_1609,plain,
( and(and(b3,f2),not(c1)) != n0
| or(and(c1,f2),and(and(b3,f2),not(c1))) != or(and(c1,f2),and(and(b3,f2),not(c1)))
| or(and(c1,f2),and(and(b3,f2),not(c1))) = or(and(c1,f2),n0) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c1,f2),and(and(b3,f2),not(c1))),or(and(c1,f2),and(and(b3,f2),not(c1)))) ),[1,1],$fot(n0)]]) ).
cnf(refute_0_1610,plain,
( and(and(b3,f2),not(c1)) != n0
| or(and(c1,f2),and(and(b3,f2),not(c1))) = or(and(c1,f2),n0) ),
inference(resolve,[$cnf( $equal(or(and(c1,f2),and(and(b3,f2),not(c1))),or(and(c1,f2),and(and(b3,f2),not(c1)))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
or(and(c1,f2),and(and(b3,f2),not(c1))) = or(and(c1,f2),n0),
inference(resolve,[$cnf( $equal(and(and(b3,f2),not(c1)),n0) )],[refute_0_1607,refute_0_1610]) ).
cnf(refute_0_1612,plain,
( or(and(c1,f2),and(and(b3,f2),not(c1))) != or(and(c1,f2),n0)
| or(and(c1,f2),n0) != and(c1,f2)
| or(and(c1,f2),and(and(b3,f2),not(c1))) = and(c1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(c1,f2),and(and(b3,f2),not(c1))))),bind(Y0,$fot(or(and(c1,f2),n0))),bind(Z0,$fot(and(c1,f2)))]]) ).
cnf(refute_0_1613,plain,
( or(and(c1,f2),n0) != and(c1,f2)
| or(and(c1,f2),and(and(b3,f2),not(c1))) = and(c1,f2) ),
inference(resolve,[$cnf( $equal(or(and(c1,f2),and(and(b3,f2),not(c1))),or(and(c1,f2),n0)) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
or(and(c1,f2),and(and(b3,f2),not(c1))) = and(c1,f2),
inference(resolve,[$cnf( $equal(or(and(c1,f2),n0),and(c1,f2)) )],[refute_0_1595,refute_0_1613]) ).
cnf(refute_0_1615,plain,
( or(and(c1,f2),and(and(b3,f2),not(c1))) != and(b3,f2)
| or(and(c1,f2),and(and(b3,f2),not(c1))) != and(c1,f2)
| and(c1,f2) = and(b3,f2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c1,f2),and(and(b3,f2),not(c1))),and(b3,f2)) ),[0],$fot(and(c1,f2))]]) ).
cnf(refute_0_1616,plain,
( or(and(c1,f2),and(and(b3,f2),not(c1))) != and(b3,f2)
| and(c1,f2) = and(b3,f2) ),
inference(resolve,[$cnf( $equal(or(and(c1,f2),and(and(b3,f2),not(c1))),and(c1,f2)) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
and(c1,f2) = and(b3,f2),
inference(resolve,[$cnf( $equal(or(and(c1,f2),and(and(b3,f2),not(c1))),and(b3,f2)) )],[refute_0_1590,refute_0_1616]) ).
cnf(refute_0_1618,plain,
not(and(c1,f2)) = not(and(c1,f2)),
introduced(tautology,[refl,[$fot(not(and(c1,f2)))]]) ).
cnf(refute_0_1619,plain,
( and(c1,f2) != and(b3,f2)
| not(and(c1,f2)) != not(and(c1,f2))
| not(and(c1,f2)) = not(and(b3,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(c1,f2)),not(and(c1,f2))) ),[1,0],$fot(and(b3,f2))]]) ).
cnf(refute_0_1620,plain,
( and(c1,f2) != and(b3,f2)
| not(and(c1,f2)) = not(and(b3,f2)) ),
inference(resolve,[$cnf( $equal(not(and(c1,f2)),not(and(c1,f2))) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
not(and(c1,f2)) = not(and(b3,f2)),
inference(resolve,[$cnf( $equal(and(c1,f2),and(b3,f2)) )],[refute_0_1617,refute_0_1620]) ).
cnf(refute_0_1622,plain,
( not(and(b3,f2)) != or(b1,c2)
| not(and(c1,f2)) != not(and(b3,f2))
| not(and(c1,f2)) = or(b1,c2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(c1,f2)))),bind(Y0,$fot(not(and(b3,f2)))),bind(Z0,$fot(or(b1,c2)))]]) ).
cnf(refute_0_1623,plain,
( not(and(b3,f2)) != or(b1,c2)
| not(and(c1,f2)) = or(b1,c2) ),
inference(resolve,[$cnf( $equal(not(and(c1,f2)),not(and(b3,f2))) )],[refute_0_1621,refute_0_1622]) ).
cnf(refute_0_1624,plain,
not(and(c1,f2)) = or(b1,c2),
inference(resolve,[$cnf( $equal(not(and(b3,f2)),or(b1,c2)) )],[refute_0_1458,refute_0_1623]) ).
cnf(refute_0_1625,plain,
( not(and(c1,f2)) != or(b1,c2)
| not(and(c1,f2)) != or(c2,f1)
| or(b1,c2) = or(c2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(c1,f2)),or(c2,f1)) ),[0],$fot(or(b1,c2))]]) ).
cnf(refute_0_1626,plain,
( not(and(c1,f2)) != or(c2,f1)
| or(b1,c2) = or(c2,f1) ),
inference(resolve,[$cnf( $equal(not(and(c1,f2)),or(b1,c2)) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
or(b1,c2) = or(c2,f1),
inference(resolve,[$cnf( $equal(not(and(c1,f2)),or(c2,f1)) )],[refute_0_707,refute_0_1626]) ).
cnf(refute_0_1628,plain,
not(not(and(d1,or(d1,f2)))) = and(d1,or(d1,f2)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(d1,or(d1,f2))))]]) ).
cnf(refute_0_1629,plain,
not(and(or(d1,f2),d1)) = or(b1,not(or(d1,f2))),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(or(d1,f2)))]]) ).
cnf(refute_0_1630,plain,
not(not(and(b1,c2))) = and(b1,c2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b1,c2)))]]) ).
cnf(refute_0_1631,plain,
not(and(b1,i2)) = or(f2,not(b1)),
inference(subst,[],[refute_0_431:[bind(X_109,$fot(b1))]]) ).
cnf(refute_0_1632,plain,
( not(and(b1,i2)) != or(f2,not(b1))
| not(b1) != d1
| not(and(b1,i2)) = or(f2,d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,i2)),or(f2,not(b1))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_1633,plain,
( not(and(b1,i2)) != or(f2,not(b1))
| not(and(b1,i2)) = or(f2,d1) ),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_1632]) ).
cnf(refute_0_1634,plain,
not(and(b1,i2)) = or(f2,d1),
inference(resolve,[$cnf( $equal(not(and(b1,i2)),or(f2,not(b1))) )],[refute_0_1631,refute_0_1633]) ).
cnf(refute_0_1635,plain,
or(f2,d1) = or(d1,f2),
inference(subst,[],[refute_0_37:[bind(X,$fot(d1)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_1636,plain,
( not(and(b1,i2)) != or(f2,d1)
| or(f2,d1) != or(d1,f2)
| not(and(b1,i2)) = or(d1,f2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,i2)),or(d1,f2)) ),[0],$fot(or(f2,d1))]]) ).
cnf(refute_0_1637,plain,
( not(and(b1,i2)) != or(f2,d1)
| not(and(b1,i2)) = or(d1,f2) ),
inference(resolve,[$cnf( $equal(or(f2,d1),or(d1,f2)) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
not(and(b1,i2)) = or(d1,f2),
inference(resolve,[$cnf( $equal(not(and(b1,i2)),or(f2,d1)) )],[refute_0_1634,refute_0_1637]) ).
cnf(refute_0_1639,plain,
and(b1,i2) = and(b1,i2),
introduced(tautology,[refl,[$fot(and(b1,i2))]]) ).
cnf(refute_0_1640,plain,
( and(b1,i2) != and(b1,i2)
| i2 != c2
| and(b1,i2) = and(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,i2),and(b1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_1641,plain,
( i2 != c2
| and(b1,i2) = and(b1,c2) ),
inference(resolve,[$cnf( $equal(and(b1,i2),and(b1,i2)) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
and(b1,i2) = and(b1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_1641]) ).
cnf(refute_0_1643,plain,
not(and(b1,i2)) = not(and(b1,i2)),
introduced(tautology,[refl,[$fot(not(and(b1,i2)))]]) ).
cnf(refute_0_1644,plain,
( and(b1,i2) != and(b1,c2)
| not(and(b1,i2)) != not(and(b1,i2))
| not(and(b1,i2)) = not(and(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,i2)),not(and(b1,i2))) ),[1,0],$fot(and(b1,c2))]]) ).
cnf(refute_0_1645,plain,
( and(b1,i2) != and(b1,c2)
| not(and(b1,i2)) = not(and(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(and(b1,i2)),not(and(b1,i2))) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
not(and(b1,i2)) = not(and(b1,c2)),
inference(resolve,[$cnf( $equal(and(b1,i2),and(b1,c2)) )],[refute_0_1642,refute_0_1645]) ).
cnf(refute_0_1647,plain,
( not(and(b1,i2)) != not(and(b1,c2))
| not(and(b1,i2)) != or(d1,f2)
| not(and(b1,c2)) = or(d1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,i2)),or(d1,f2)) ),[0],$fot(not(and(b1,c2)))]]) ).
cnf(refute_0_1648,plain,
( not(and(b1,i2)) != or(d1,f2)
| not(and(b1,c2)) = or(d1,f2) ),
inference(resolve,[$cnf( $equal(not(and(b1,i2)),not(and(b1,c2))) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
not(and(b1,c2)) = or(d1,f2),
inference(resolve,[$cnf( $equal(not(and(b1,i2)),or(d1,f2)) )],[refute_0_1638,refute_0_1648]) ).
cnf(refute_0_1650,plain,
( not(and(b1,c2)) != or(d1,f2)
| not(not(and(b1,c2))) != and(b1,c2)
| not(or(d1,f2)) = and(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b1,c2))),and(b1,c2)) ),[0,0],$fot(or(d1,f2))]]) ).
cnf(refute_0_1651,plain,
( not(not(and(b1,c2))) != and(b1,c2)
| not(or(d1,f2)) = and(b1,c2) ),
inference(resolve,[$cnf( $equal(not(and(b1,c2)),or(d1,f2)) )],[refute_0_1649,refute_0_1650]) ).
cnf(refute_0_1652,plain,
not(or(d1,f2)) = and(b1,c2),
inference(resolve,[$cnf( $equal(not(not(and(b1,c2))),and(b1,c2)) )],[refute_0_1630,refute_0_1651]) ).
cnf(refute_0_1653,plain,
( not(and(or(d1,f2),d1)) != or(b1,not(or(d1,f2)))
| not(or(d1,f2)) != and(b1,c2)
| not(and(or(d1,f2),d1)) = or(b1,and(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(d1,f2),d1)),or(b1,not(or(d1,f2)))) ),[1,1],$fot(and(b1,c2))]]) ).
cnf(refute_0_1654,plain,
( not(and(or(d1,f2),d1)) != or(b1,not(or(d1,f2)))
| not(and(or(d1,f2),d1)) = or(b1,and(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(or(d1,f2)),and(b1,c2)) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
not(and(or(d1,f2),d1)) = or(b1,and(b1,c2)),
inference(resolve,[$cnf( $equal(not(and(or(d1,f2),d1)),or(b1,not(or(d1,f2)))) )],[refute_0_1629,refute_0_1654]) ).
cnf(refute_0_1656,plain,
not(and(or(d1,f2),d1)) = not(and(d1,or(d1,f2))),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(or(d1,f2)))]]) ).
cnf(refute_0_1657,plain,
( not(and(or(d1,f2),d1)) != not(and(d1,or(d1,f2)))
| not(and(or(d1,f2),d1)) != or(b1,and(b1,c2))
| not(and(d1,or(d1,f2))) = or(b1,and(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(d1,f2),d1)),or(b1,and(b1,c2))) ),[0],$fot(not(and(d1,or(d1,f2))))]]) ).
cnf(refute_0_1658,plain,
( not(and(or(d1,f2),d1)) != or(b1,and(b1,c2))
| not(and(d1,or(d1,f2))) = or(b1,and(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(and(or(d1,f2),d1)),not(and(d1,or(d1,f2)))) )],[refute_0_1656,refute_0_1657]) ).
cnf(refute_0_1659,plain,
or(and(X_14,i2),or(and(f2,X_14),and(X_14,i2))) = or(and(X_14,i2),and(f2,X_14)),
inference(subst,[],[refute_0_345:[bind(X,$fot(and(X_14,i2))),bind(Y,$fot(and(f2,X_14)))]]) ).
cnf(refute_0_1660,plain,
or(and(f2,X_14),and(X_14,not(f2))) = X_14,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(f2)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_1661,plain,
( not(f2) != i2
| or(and(f2,X_14),and(X_14,not(f2))) != X_14
| or(and(f2,X_14),and(X_14,i2)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f2,X_14),and(X_14,not(f2))),X_14) ),[0,1,1],$fot(i2)]]) ).
cnf(refute_0_1662,plain,
( or(and(f2,X_14),and(X_14,not(f2))) != X_14
| or(and(f2,X_14),and(X_14,i2)) = X_14 ),
inference(resolve,[$cnf( $equal(not(f2),i2) )],[refute_0_442,refute_0_1661]) ).
cnf(refute_0_1663,plain,
or(and(f2,X_14),and(X_14,i2)) = X_14,
inference(resolve,[$cnf( $equal(or(and(f2,X_14),and(X_14,not(f2))),X_14) )],[refute_0_1660,refute_0_1662]) ).
cnf(refute_0_1664,plain,
( or(and(X_14,i2),or(and(f2,X_14),and(X_14,i2))) != or(and(X_14,i2),and(f2,X_14))
| or(and(f2,X_14),and(X_14,i2)) != X_14
| or(and(X_14,i2),X_14) = or(and(X_14,i2),and(f2,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_14,i2),or(and(f2,X_14),and(X_14,i2))),or(and(X_14,i2),and(f2,X_14))) ),[0,1],$fot(X_14)]]) ).
cnf(refute_0_1665,plain,
( or(and(X_14,i2),or(and(f2,X_14),and(X_14,i2))) != or(and(X_14,i2),and(f2,X_14))
| or(and(X_14,i2),X_14) = or(and(X_14,i2),and(f2,X_14)) ),
inference(resolve,[$cnf( $equal(or(and(f2,X_14),and(X_14,i2)),X_14) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
or(and(X_14,i2),X_14) = or(and(X_14,i2),and(f2,X_14)),
inference(resolve,[$cnf( $equal(or(and(X_14,i2),or(and(f2,X_14),and(X_14,i2))),or(and(X_14,i2),and(f2,X_14))) )],[refute_0_1659,refute_0_1665]) ).
cnf(refute_0_1667,plain,
or(and(X_14,i2),X_14) = or(X_14,and(X_14,i2)),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_14)),bind(Y,$fot(and(X_14,i2)))]]) ).
cnf(refute_0_1668,plain,
( or(and(X_14,i2),X_14) != or(X_14,and(X_14,i2))
| or(and(X_14,i2),X_14) != or(and(X_14,i2),and(f2,X_14))
| or(X_14,and(X_14,i2)) = or(and(X_14,i2),and(f2,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_14,i2),X_14),or(and(X_14,i2),and(f2,X_14))) ),[0],$fot(or(X_14,and(X_14,i2)))]]) ).
cnf(refute_0_1669,plain,
( or(and(X_14,i2),X_14) != or(and(X_14,i2),and(f2,X_14))
| or(X_14,and(X_14,i2)) = or(and(X_14,i2),and(f2,X_14)) ),
inference(resolve,[$cnf( $equal(or(and(X_14,i2),X_14),or(X_14,and(X_14,i2))) )],[refute_0_1667,refute_0_1668]) ).
cnf(refute_0_1670,plain,
or(and(X_24,i2),and(f2,X_24)) = or(and(f2,X_24),and(X_24,i2)),
inference(subst,[],[or_commutativity:[bind(X,$fot(and(X_24,i2))),bind(Y,$fot(and(f2,X_24)))]]) ).
cnf(refute_0_1671,plain,
or(and(f2,X_24),and(X_24,i2)) = X_24,
inference(subst,[],[refute_0_1663:[bind(X_14,$fot(X_24))]]) ).
cnf(refute_0_1672,plain,
( or(and(X_24,i2),and(f2,X_24)) != or(and(f2,X_24),and(X_24,i2))
| or(and(f2,X_24),and(X_24,i2)) != X_24
| or(and(X_24,i2),and(f2,X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X_24,i2),and(f2,X_24)),X_24) ),[0],$fot(or(and(f2,X_24),and(X_24,i2)))]]) ).
cnf(refute_0_1673,plain,
( or(and(X_24,i2),and(f2,X_24)) != or(and(f2,X_24),and(X_24,i2))
| or(and(X_24,i2),and(f2,X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(or(and(f2,X_24),and(X_24,i2)),X_24) )],[refute_0_1671,refute_0_1672]) ).
cnf(refute_0_1674,plain,
or(and(X_24,i2),and(f2,X_24)) = X_24,
inference(resolve,[$cnf( $equal(or(and(X_24,i2),and(f2,X_24)),or(and(f2,X_24),and(X_24,i2))) )],[refute_0_1670,refute_0_1673]) ).
cnf(refute_0_1675,plain,
or(and(X_14,i2),and(f2,X_14)) = X_14,
inference(subst,[],[refute_0_1674:[bind(X_24,$fot(X_14))]]) ).
cnf(refute_0_1676,plain,
( or(X_14,and(X_14,i2)) != or(and(X_14,i2),and(f2,X_14))
| or(and(X_14,i2),and(f2,X_14)) != X_14
| or(X_14,and(X_14,i2)) = X_14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X_14,and(X_14,i2)),X_14) ),[0],$fot(or(and(X_14,i2),and(f2,X_14)))]]) ).
cnf(refute_0_1677,plain,
( or(X_14,and(X_14,i2)) != or(and(X_14,i2),and(f2,X_14))
| or(X_14,and(X_14,i2)) = X_14 ),
inference(resolve,[$cnf( $equal(or(and(X_14,i2),and(f2,X_14)),X_14) )],[refute_0_1675,refute_0_1676]) ).
cnf(refute_0_1678,plain,
( or(and(X_14,i2),X_14) != or(and(X_14,i2),and(f2,X_14))
| or(X_14,and(X_14,i2)) = X_14 ),
inference(resolve,[$cnf( $equal(or(X_14,and(X_14,i2)),or(and(X_14,i2),and(f2,X_14))) )],[refute_0_1669,refute_0_1677]) ).
cnf(refute_0_1679,plain,
or(X_14,and(X_14,i2)) = X_14,
inference(resolve,[$cnf( $equal(or(and(X_14,i2),X_14),or(and(X_14,i2),and(f2,X_14))) )],[refute_0_1666,refute_0_1678]) ).
cnf(refute_0_1680,plain,
and(X_14,i2) = and(X_14,i2),
introduced(tautology,[refl,[$fot(and(X_14,i2))]]) ).
cnf(refute_0_1681,plain,
( and(X_14,i2) != and(X_14,i2)
| i2 != c2
| and(X_14,i2) = and(X_14,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_14,i2),and(X_14,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_1682,plain,
( i2 != c2
| and(X_14,i2) = and(X_14,c2) ),
inference(resolve,[$cnf( $equal(and(X_14,i2),and(X_14,i2)) )],[refute_0_1680,refute_0_1681]) ).
cnf(refute_0_1683,plain,
and(X_14,i2) = and(X_14,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_1682]) ).
cnf(refute_0_1684,plain,
or(X_14,and(X_14,i2)) = or(X_14,and(X_14,i2)),
introduced(tautology,[refl,[$fot(or(X_14,and(X_14,i2)))]]) ).
cnf(refute_0_1685,plain,
( and(X_14,i2) != and(X_14,c2)
| or(X_14,and(X_14,i2)) != or(X_14,and(X_14,i2))
| or(X_14,and(X_14,i2)) = or(X_14,and(X_14,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_14,and(X_14,i2)),or(X_14,and(X_14,i2))) ),[1,1],$fot(and(X_14,c2))]]) ).
cnf(refute_0_1686,plain,
( and(X_14,i2) != and(X_14,c2)
| or(X_14,and(X_14,i2)) = or(X_14,and(X_14,c2)) ),
inference(resolve,[$cnf( $equal(or(X_14,and(X_14,i2)),or(X_14,and(X_14,i2))) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
or(X_14,and(X_14,i2)) = or(X_14,and(X_14,c2)),
inference(resolve,[$cnf( $equal(and(X_14,i2),and(X_14,c2)) )],[refute_0_1683,refute_0_1686]) ).
cnf(refute_0_1688,plain,
( or(X_14,and(X_14,i2)) != X_14
| or(X_14,and(X_14,i2)) != or(X_14,and(X_14,c2))
| or(X_14,and(X_14,c2)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(X_14,and(X_14,i2)),X_14) ),[0],$fot(or(X_14,and(X_14,c2)))]]) ).
cnf(refute_0_1689,plain,
( or(X_14,and(X_14,i2)) != X_14
| or(X_14,and(X_14,c2)) = X_14 ),
inference(resolve,[$cnf( $equal(or(X_14,and(X_14,i2)),or(X_14,and(X_14,c2))) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
or(X_14,and(X_14,c2)) = X_14,
inference(resolve,[$cnf( $equal(or(X_14,and(X_14,i2)),X_14) )],[refute_0_1679,refute_0_1689]) ).
cnf(refute_0_1691,plain,
or(b1,and(b1,c2)) = b1,
inference(subst,[],[refute_0_1690:[bind(X_14,$fot(b1))]]) ).
cnf(refute_0_1692,plain,
( not(and(d1,or(d1,f2))) != or(b1,and(b1,c2))
| or(b1,and(b1,c2)) != b1
| not(and(d1,or(d1,f2))) = b1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d1,or(d1,f2))),b1) ),[0],$fot(or(b1,and(b1,c2)))]]) ).
cnf(refute_0_1693,plain,
( not(and(d1,or(d1,f2))) != or(b1,and(b1,c2))
| not(and(d1,or(d1,f2))) = b1 ),
inference(resolve,[$cnf( $equal(or(b1,and(b1,c2)),b1) )],[refute_0_1691,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( not(and(or(d1,f2),d1)) != or(b1,and(b1,c2))
| not(and(d1,or(d1,f2))) = b1 ),
inference(resolve,[$cnf( $equal(not(and(d1,or(d1,f2))),or(b1,and(b1,c2))) )],[refute_0_1658,refute_0_1693]) ).
cnf(refute_0_1695,plain,
not(and(d1,or(d1,f2))) = b1,
inference(resolve,[$cnf( $equal(not(and(or(d1,f2),d1)),or(b1,and(b1,c2))) )],[refute_0_1655,refute_0_1694]) ).
cnf(refute_0_1696,plain,
( not(and(d1,or(d1,f2))) != b1
| not(not(and(d1,or(d1,f2)))) != and(d1,or(d1,f2))
| not(b1) = and(d1,or(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(d1,or(d1,f2)))),and(d1,or(d1,f2))) ),[0,0],$fot(b1)]]) ).
cnf(refute_0_1697,plain,
( not(not(and(d1,or(d1,f2)))) != and(d1,or(d1,f2))
| not(b1) = and(d1,or(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(d1,or(d1,f2))),b1) )],[refute_0_1695,refute_0_1696]) ).
cnf(refute_0_1698,plain,
not(b1) = and(d1,or(d1,f2)),
inference(resolve,[$cnf( $equal(not(not(and(d1,or(d1,f2)))),and(d1,or(d1,f2))) )],[refute_0_1628,refute_0_1697]) ).
cnf(refute_0_1699,plain,
( not(b1) != and(d1,or(d1,f2))
| not(b1) != d1
| d1 = and(d1,or(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(b1),and(d1,or(d1,f2))) ),[0],$fot(d1)]]) ).
cnf(refute_0_1700,plain,
( not(b1) != and(d1,or(d1,f2))
| d1 = and(d1,or(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_1699]) ).
cnf(refute_0_1701,plain,
d1 = and(d1,or(d1,f2)),
inference(resolve,[$cnf( $equal(not(b1),and(d1,or(d1,f2))) )],[refute_0_1698,refute_0_1700]) ).
cnf(refute_0_1702,plain,
or(and(d1,and(c2,or(b1,f2))),and(and(c2,or(b1,f2)),not(d1))) = and(c2,or(b1,f2)),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d1)),bind(Y,$fot(and(c2,or(b1,f2))))]]) ).
cnf(refute_0_1703,plain,
and(and(d1,or(b1,f2)),and(c2,and(d1,or(b1,f2)))) = and(and(d1,or(b1,f2)),c2),
inference(subst,[],[refute_0_450:[bind(X,$fot(and(d1,or(b1,f2)))),bind(Y,$fot(c2))]]) ).
cnf(refute_0_1704,plain,
and(and(c2,d1),not(and(c2,d1))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(c2,d1)))]]) ).
cnf(refute_0_1705,plain,
not(and(i2,d1)) = or(b1,not(i2)),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(i2))]]) ).
cnf(refute_0_1706,plain,
( not(and(i2,d1)) != or(b1,not(i2))
| not(i2) != f2
| not(and(i2,d1)) = or(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i2,d1)),or(b1,not(i2))) ),[1,1],$fot(f2)]]) ).
cnf(refute_0_1707,plain,
( not(and(i2,d1)) != or(b1,not(i2))
| not(and(i2,d1)) = or(b1,f2) ),
inference(resolve,[$cnf( $equal(not(i2),f2) )],[refute_0_320,refute_0_1706]) ).
cnf(refute_0_1708,plain,
not(and(i2,d1)) = or(b1,f2),
inference(resolve,[$cnf( $equal(not(and(i2,d1)),or(b1,not(i2))) )],[refute_0_1705,refute_0_1707]) ).
cnf(refute_0_1709,plain,
not(and(i2,d1)) = not(and(d1,i2)),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(i2))]]) ).
cnf(refute_0_1710,plain,
( not(and(i2,d1)) != not(and(d1,i2))
| not(and(i2,d1)) != or(b1,f2)
| not(and(d1,i2)) = or(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i2,d1)),or(b1,f2)) ),[0],$fot(not(and(d1,i2)))]]) ).
cnf(refute_0_1711,plain,
( not(and(i2,d1)) != or(b1,f2)
| not(and(d1,i2)) = or(b1,f2) ),
inference(resolve,[$cnf( $equal(not(and(i2,d1)),not(and(d1,i2))) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
not(and(d1,i2)) = or(b1,f2),
inference(resolve,[$cnf( $equal(not(and(i2,d1)),or(b1,f2)) )],[refute_0_1708,refute_0_1711]) ).
cnf(refute_0_1713,plain,
and(d1,c2) = and(c2,d1),
inference(subst,[],[refute_0_129:[bind(X,$fot(c2)),bind(Y,$fot(d1))]]) ).
cnf(refute_0_1714,plain,
and(d1,i2) = and(d1,i2),
introduced(tautology,[refl,[$fot(and(d1,i2))]]) ).
cnf(refute_0_1715,plain,
( and(d1,i2) != and(d1,i2)
| i2 != c2
| and(d1,i2) = and(d1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,i2),and(d1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_1716,plain,
( i2 != c2
| and(d1,i2) = and(d1,c2) ),
inference(resolve,[$cnf( $equal(and(d1,i2),and(d1,i2)) )],[refute_0_1714,refute_0_1715]) ).
cnf(refute_0_1717,plain,
and(d1,i2) = and(d1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_1716]) ).
cnf(refute_0_1718,plain,
( and(d1,c2) != and(c2,d1)
| and(d1,i2) != and(d1,c2)
| and(d1,i2) = and(c2,d1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(d1,i2))),bind(Y0,$fot(and(d1,c2))),bind(Z0,$fot(and(c2,d1)))]]) ).
cnf(refute_0_1719,plain,
( and(d1,c2) != and(c2,d1)
| and(d1,i2) = and(c2,d1) ),
inference(resolve,[$cnf( $equal(and(d1,i2),and(d1,c2)) )],[refute_0_1717,refute_0_1718]) ).
cnf(refute_0_1720,plain,
and(d1,i2) = and(c2,d1),
inference(resolve,[$cnf( $equal(and(d1,c2),and(c2,d1)) )],[refute_0_1713,refute_0_1719]) ).
cnf(refute_0_1721,plain,
not(and(d1,i2)) = not(and(d1,i2)),
introduced(tautology,[refl,[$fot(not(and(d1,i2)))]]) ).
cnf(refute_0_1722,plain,
( and(d1,i2) != and(c2,d1)
| not(and(d1,i2)) != not(and(d1,i2))
| not(and(d1,i2)) = not(and(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,i2)),not(and(d1,i2))) ),[1,0],$fot(and(c2,d1))]]) ).
cnf(refute_0_1723,plain,
( and(d1,i2) != and(c2,d1)
| not(and(d1,i2)) = not(and(c2,d1)) ),
inference(resolve,[$cnf( $equal(not(and(d1,i2)),not(and(d1,i2))) )],[refute_0_1721,refute_0_1722]) ).
cnf(refute_0_1724,plain,
not(and(d1,i2)) = not(and(c2,d1)),
inference(resolve,[$cnf( $equal(and(d1,i2),and(c2,d1)) )],[refute_0_1720,refute_0_1723]) ).
cnf(refute_0_1725,plain,
( not(and(d1,i2)) != not(and(c2,d1))
| not(and(d1,i2)) != or(b1,f2)
| not(and(c2,d1)) = or(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,i2)),or(b1,f2)) ),[0],$fot(not(and(c2,d1)))]]) ).
cnf(refute_0_1726,plain,
( not(and(d1,i2)) != or(b1,f2)
| not(and(c2,d1)) = or(b1,f2) ),
inference(resolve,[$cnf( $equal(not(and(d1,i2)),not(and(c2,d1))) )],[refute_0_1724,refute_0_1725]) ).
cnf(refute_0_1727,plain,
not(and(c2,d1)) = or(b1,f2),
inference(resolve,[$cnf( $equal(not(and(d1,i2)),or(b1,f2)) )],[refute_0_1712,refute_0_1726]) ).
cnf(refute_0_1728,plain,
( and(and(c2,d1),not(and(c2,d1))) != n0
| not(and(c2,d1)) != or(b1,f2)
| and(and(c2,d1),or(b1,f2)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(c2,d1),not(and(c2,d1))),n0) ),[0,1],$fot(or(b1,f2))]]) ).
cnf(refute_0_1729,plain,
( and(and(c2,d1),not(and(c2,d1))) != n0
| and(and(c2,d1),or(b1,f2)) = n0 ),
inference(resolve,[$cnf( $equal(not(and(c2,d1)),or(b1,f2)) )],[refute_0_1727,refute_0_1728]) ).
cnf(refute_0_1730,plain,
and(and(c2,d1),or(b1,f2)) = n0,
inference(resolve,[$cnf( $equal(and(and(c2,d1),not(and(c2,d1))),n0) )],[refute_0_1704,refute_0_1729]) ).
cnf(refute_0_1731,plain,
and(and(c2,d1),or(b1,f2)) = and(c2,and(d1,or(b1,f2))),
inference(subst,[],[refute_0_202:[bind(X,$fot(c2)),bind(Y,$fot(d1)),bind(Z,$fot(or(b1,f2)))]]) ).
cnf(refute_0_1732,plain,
( and(and(c2,d1),or(b1,f2)) != and(c2,and(d1,or(b1,f2)))
| and(and(c2,d1),or(b1,f2)) != n0
| and(c2,and(d1,or(b1,f2))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(c2,d1),or(b1,f2)),n0) ),[0],$fot(and(c2,and(d1,or(b1,f2))))]]) ).
cnf(refute_0_1733,plain,
( and(and(c2,d1),or(b1,f2)) != n0
| and(c2,and(d1,or(b1,f2))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(c2,d1),or(b1,f2)),and(c2,and(d1,or(b1,f2)))) )],[refute_0_1731,refute_0_1732]) ).
cnf(refute_0_1734,plain,
and(c2,and(d1,or(b1,f2))) = n0,
inference(resolve,[$cnf( $equal(and(and(c2,d1),or(b1,f2)),n0) )],[refute_0_1730,refute_0_1733]) ).
cnf(refute_0_1735,plain,
( and(and(d1,or(b1,f2)),and(c2,and(d1,or(b1,f2)))) != and(and(d1,or(b1,f2)),c2)
| and(c2,and(d1,or(b1,f2))) != n0
| and(and(d1,or(b1,f2)),n0) = and(and(d1,or(b1,f2)),c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d1,or(b1,f2)),and(c2,and(d1,or(b1,f2)))),and(and(d1,or(b1,f2)),c2)) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_1736,plain,
( and(and(d1,or(b1,f2)),and(c2,and(d1,or(b1,f2)))) != and(and(d1,or(b1,f2)),c2)
| and(and(d1,or(b1,f2)),n0) = and(and(d1,or(b1,f2)),c2) ),
inference(resolve,[$cnf( $equal(and(c2,and(d1,or(b1,f2))),n0) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
and(and(d1,or(b1,f2)),n0) = and(and(d1,or(b1,f2)),c2),
inference(resolve,[$cnf( $equal(and(and(d1,or(b1,f2)),and(c2,and(d1,or(b1,f2)))),and(and(d1,or(b1,f2)),c2)) )],[refute_0_1703,refute_0_1736]) ).
cnf(refute_0_1738,plain,
and(d1,n0) = n0,
inference(subst,[],[and_definition1:[bind(X,$fot(d1))]]) ).
cnf(refute_0_1739,plain,
and(n0,or(b1,f2)) = n0,
inference(subst,[],[refute_0_143:[bind(X,$fot(or(b1,f2)))]]) ).
cnf(refute_0_1740,plain,
and(d1,and(n0,or(b1,f2))) = and(d1,and(n0,or(b1,f2))),
introduced(tautology,[refl,[$fot(and(d1,and(n0,or(b1,f2))))]]) ).
cnf(refute_0_1741,plain,
( and(d1,and(n0,or(b1,f2))) != and(d1,and(n0,or(b1,f2)))
| and(n0,or(b1,f2)) != n0
| and(d1,and(n0,or(b1,f2))) = and(d1,n0) ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(n0,or(b1,f2))),and(d1,and(n0,or(b1,f2)))) ),[1,1],$fot(n0)]]) ).
cnf(refute_0_1742,plain,
( and(n0,or(b1,f2)) != n0
| and(d1,and(n0,or(b1,f2))) = and(d1,n0) ),
inference(resolve,[$cnf( $equal(and(d1,and(n0,or(b1,f2))),and(d1,and(n0,or(b1,f2)))) )],[refute_0_1740,refute_0_1741]) ).
cnf(refute_0_1743,plain,
and(d1,and(n0,or(b1,f2))) = and(d1,n0),
inference(resolve,[$cnf( $equal(and(n0,or(b1,f2)),n0) )],[refute_0_1739,refute_0_1742]) ).
cnf(refute_0_1744,plain,
( and(d1,and(n0,or(b1,f2))) != and(d1,n0)
| and(d1,n0) != n0
| and(d1,and(n0,or(b1,f2))) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(d1,and(n0,or(b1,f2))))),bind(Y0,$fot(and(d1,n0))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_1745,plain,
( and(d1,n0) != n0
| and(d1,and(n0,or(b1,f2))) = n0 ),
inference(resolve,[$cnf( $equal(and(d1,and(n0,or(b1,f2))),and(d1,n0)) )],[refute_0_1743,refute_0_1744]) ).
cnf(refute_0_1746,plain,
and(d1,and(n0,or(b1,f2))) = n0,
inference(resolve,[$cnf( $equal(and(d1,n0),n0) )],[refute_0_1738,refute_0_1745]) ).
cnf(refute_0_1747,plain,
and(d1,and(or(b1,f2),n0)) = and(d1,and(n0,or(b1,f2))),
inference(subst,[],[refute_0_944:[bind(X,$fot(d1)),bind(Y,$fot(n0)),bind(Z,$fot(or(b1,f2)))]]) ).
cnf(refute_0_1748,plain,
and(and(d1,or(b1,f2)),n0) = and(d1,and(or(b1,f2),n0)),
inference(subst,[],[refute_0_202:[bind(X,$fot(d1)),bind(Y,$fot(or(b1,f2))),bind(Z,$fot(n0))]]) ).
cnf(refute_0_1749,plain,
( and(and(d1,or(b1,f2)),n0) != and(d1,and(or(b1,f2),n0))
| and(d1,and(or(b1,f2),n0)) != and(d1,and(n0,or(b1,f2)))
| and(and(d1,or(b1,f2)),n0) = and(d1,and(n0,or(b1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(d1,or(b1,f2)),n0))),bind(Y0,$fot(and(d1,and(or(b1,f2),n0)))),bind(Z0,$fot(and(d1,and(n0,or(b1,f2)))))]]) ).
cnf(refute_0_1750,plain,
( and(d1,and(or(b1,f2),n0)) != and(d1,and(n0,or(b1,f2)))
| and(and(d1,or(b1,f2)),n0) = and(d1,and(n0,or(b1,f2))) ),
inference(resolve,[$cnf( $equal(and(and(d1,or(b1,f2)),n0),and(d1,and(or(b1,f2),n0))) )],[refute_0_1748,refute_0_1749]) ).
cnf(refute_0_1751,plain,
and(and(d1,or(b1,f2)),n0) = and(d1,and(n0,or(b1,f2))),
inference(resolve,[$cnf( $equal(and(d1,and(or(b1,f2),n0)),and(d1,and(n0,or(b1,f2)))) )],[refute_0_1747,refute_0_1750]) ).
cnf(refute_0_1752,plain,
( and(and(d1,or(b1,f2)),n0) != and(d1,and(n0,or(b1,f2)))
| and(d1,and(n0,or(b1,f2))) != n0
| and(and(d1,or(b1,f2)),n0) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(d1,or(b1,f2)),n0))),bind(Y0,$fot(and(d1,and(n0,or(b1,f2))))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_1753,plain,
( and(d1,and(n0,or(b1,f2))) != n0
| and(and(d1,or(b1,f2)),n0) = n0 ),
inference(resolve,[$cnf( $equal(and(and(d1,or(b1,f2)),n0),and(d1,and(n0,or(b1,f2)))) )],[refute_0_1751,refute_0_1752]) ).
cnf(refute_0_1754,plain,
and(and(d1,or(b1,f2)),n0) = n0,
inference(resolve,[$cnf( $equal(and(d1,and(n0,or(b1,f2))),n0) )],[refute_0_1746,refute_0_1753]) ).
cnf(refute_0_1755,plain,
( and(and(d1,or(b1,f2)),n0) != and(and(d1,or(b1,f2)),c2)
| and(and(d1,or(b1,f2)),n0) != n0
| n0 = and(and(d1,or(b1,f2)),c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d1,or(b1,f2)),n0),and(and(d1,or(b1,f2)),c2)) ),[0],$fot(n0)]]) ).
cnf(refute_0_1756,plain,
( and(and(d1,or(b1,f2)),n0) != and(and(d1,or(b1,f2)),c2)
| n0 = and(and(d1,or(b1,f2)),c2) ),
inference(resolve,[$cnf( $equal(and(and(d1,or(b1,f2)),n0),n0) )],[refute_0_1754,refute_0_1755]) ).
cnf(refute_0_1757,plain,
and(d1,and(or(b1,f2),c2)) = and(d1,and(c2,or(b1,f2))),
inference(subst,[],[refute_0_944:[bind(X,$fot(d1)),bind(Y,$fot(c2)),bind(Z,$fot(or(b1,f2)))]]) ).
cnf(refute_0_1758,plain,
and(and(d1,or(b1,f2)),c2) = and(d1,and(or(b1,f2),c2)),
inference(subst,[],[refute_0_202:[bind(X,$fot(d1)),bind(Y,$fot(or(b1,f2))),bind(Z,$fot(c2))]]) ).
cnf(refute_0_1759,plain,
( and(and(d1,or(b1,f2)),c2) != and(d1,and(or(b1,f2),c2))
| and(d1,and(or(b1,f2),c2)) != and(d1,and(c2,or(b1,f2)))
| and(and(d1,or(b1,f2)),c2) = and(d1,and(c2,or(b1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(d1,or(b1,f2)),c2))),bind(Y0,$fot(and(d1,and(or(b1,f2),c2)))),bind(Z0,$fot(and(d1,and(c2,or(b1,f2)))))]]) ).
cnf(refute_0_1760,plain,
( and(d1,and(or(b1,f2),c2)) != and(d1,and(c2,or(b1,f2)))
| and(and(d1,or(b1,f2)),c2) = and(d1,and(c2,or(b1,f2))) ),
inference(resolve,[$cnf( $equal(and(and(d1,or(b1,f2)),c2),and(d1,and(or(b1,f2),c2))) )],[refute_0_1758,refute_0_1759]) ).
cnf(refute_0_1761,plain,
and(and(d1,or(b1,f2)),c2) = and(d1,and(c2,or(b1,f2))),
inference(resolve,[$cnf( $equal(and(d1,and(or(b1,f2),c2)),and(d1,and(c2,or(b1,f2)))) )],[refute_0_1757,refute_0_1760]) ).
cnf(refute_0_1762,plain,
( and(and(d1,or(b1,f2)),c2) != and(d1,and(c2,or(b1,f2)))
| n0 != and(and(d1,or(b1,f2)),c2)
| n0 = and(d1,and(c2,or(b1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(n0,and(and(d1,or(b1,f2)),c2)) ),[1],$fot(and(d1,and(c2,or(b1,f2))))]]) ).
cnf(refute_0_1763,plain,
( n0 != and(and(d1,or(b1,f2)),c2)
| n0 = and(d1,and(c2,or(b1,f2))) ),
inference(resolve,[$cnf( $equal(and(and(d1,or(b1,f2)),c2),and(d1,and(c2,or(b1,f2)))) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
( and(and(d1,or(b1,f2)),n0) != and(and(d1,or(b1,f2)),c2)
| n0 = and(d1,and(c2,or(b1,f2))) ),
inference(resolve,[$cnf( $equal(n0,and(and(d1,or(b1,f2)),c2)) )],[refute_0_1756,refute_0_1763]) ).
cnf(refute_0_1765,plain,
n0 = and(d1,and(c2,or(b1,f2))),
inference(resolve,[$cnf( $equal(and(and(d1,or(b1,f2)),n0),and(and(d1,or(b1,f2)),c2)) )],[refute_0_1737,refute_0_1764]) ).
cnf(refute_0_1766,plain,
( n0 != and(d1,and(c2,or(b1,f2)))
| and(d1,and(c2,or(b1,f2))) = n0 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n0)),bind(Y0,$fot(and(d1,and(c2,or(b1,f2)))))]]) ).
cnf(refute_0_1767,plain,
and(d1,and(c2,or(b1,f2))) = n0,
inference(resolve,[$cnf( $equal(n0,and(d1,and(c2,or(b1,f2)))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
( and(d1,and(c2,or(b1,f2))) != n0
| or(and(d1,and(c2,or(b1,f2))),and(and(c2,or(b1,f2)),not(d1))) != and(c2,or(b1,f2))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,or(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,and(c2,or(b1,f2))),and(and(c2,or(b1,f2)),not(d1))),and(c2,or(b1,f2))) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_1769,plain,
( or(and(d1,and(c2,or(b1,f2))),and(and(c2,or(b1,f2)),not(d1))) != and(c2,or(b1,f2))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,or(b1,f2)) ),
inference(resolve,[$cnf( $equal(and(d1,and(c2,or(b1,f2))),n0) )],[refute_0_1767,refute_0_1768]) ).
cnf(refute_0_1770,plain,
or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,or(b1,f2)),
inference(resolve,[$cnf( $equal(or(and(d1,and(c2,or(b1,f2))),and(and(c2,or(b1,f2)),not(d1))),and(c2,or(b1,f2))) )],[refute_0_1702,refute_0_1769]) ).
cnf(refute_0_1771,plain,
and(not(d1),or(b1,f2)) = and(not(d1),or(b1,f2)),
introduced(tautology,[refl,[$fot(and(not(d1),or(b1,f2)))]]) ).
cnf(refute_0_1772,plain,
( and(not(d1),or(b1,f2)) != and(not(d1),or(b1,f2))
| not(d1) != b1
| and(not(d1),or(b1,f2)) = and(b1,or(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(d1),or(b1,f2)),and(not(d1),or(b1,f2))) ),[1,0],$fot(b1)]]) ).
cnf(refute_0_1773,plain,
( not(d1) != b1
| and(not(d1),or(b1,f2)) = and(b1,or(b1,f2)) ),
inference(resolve,[$cnf( $equal(and(not(d1),or(b1,f2)),and(not(d1),or(b1,f2))) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
and(not(d1),or(b1,f2)) = and(b1,or(b1,f2)),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_1773]) ).
cnf(refute_0_1775,plain,
and(c2,and(not(d1),or(b1,f2))) = and(c2,and(not(d1),or(b1,f2))),
introduced(tautology,[refl,[$fot(and(c2,and(not(d1),or(b1,f2))))]]) ).
cnf(refute_0_1776,plain,
( and(c2,and(not(d1),or(b1,f2))) != and(c2,and(not(d1),or(b1,f2)))
| and(not(d1),or(b1,f2)) != and(b1,or(b1,f2))
| and(c2,and(not(d1),or(b1,f2))) = and(c2,and(b1,or(b1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,and(not(d1),or(b1,f2))),and(c2,and(not(d1),or(b1,f2)))) ),[1,1],$fot(and(b1,or(b1,f2)))]]) ).
cnf(refute_0_1777,plain,
( and(not(d1),or(b1,f2)) != and(b1,or(b1,f2))
| and(c2,and(not(d1),or(b1,f2))) = and(c2,and(b1,or(b1,f2))) ),
inference(resolve,[$cnf( $equal(and(c2,and(not(d1),or(b1,f2))),and(c2,and(not(d1),or(b1,f2)))) )],[refute_0_1775,refute_0_1776]) ).
cnf(refute_0_1778,plain,
and(c2,and(not(d1),or(b1,f2))) = and(c2,and(b1,or(b1,f2))),
inference(resolve,[$cnf( $equal(and(not(d1),or(b1,f2)),and(b1,or(b1,f2))) )],[refute_0_1774,refute_0_1777]) ).
cnf(refute_0_1779,plain,
and(c2,and(or(b1,f2),not(d1))) = and(c2,and(not(d1),or(b1,f2))),
inference(subst,[],[refute_0_944:[bind(X,$fot(c2)),bind(Y,$fot(not(d1))),bind(Z,$fot(or(b1,f2)))]]) ).
cnf(refute_0_1780,plain,
and(and(c2,or(b1,f2)),not(d1)) = and(c2,and(or(b1,f2),not(d1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(c2)),bind(Y,$fot(or(b1,f2))),bind(Z,$fot(not(d1)))]]) ).
cnf(refute_0_1781,plain,
( and(and(c2,or(b1,f2)),not(d1)) != and(c2,and(or(b1,f2),not(d1)))
| and(c2,and(or(b1,f2),not(d1))) != and(c2,and(not(d1),or(b1,f2)))
| and(and(c2,or(b1,f2)),not(d1)) = and(c2,and(not(d1),or(b1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(c2,or(b1,f2)),not(d1)))),bind(Y0,$fot(and(c2,and(or(b1,f2),not(d1))))),bind(Z0,$fot(and(c2,and(not(d1),or(b1,f2)))))]]) ).
cnf(refute_0_1782,plain,
( and(c2,and(or(b1,f2),not(d1))) != and(c2,and(not(d1),or(b1,f2)))
| and(and(c2,or(b1,f2)),not(d1)) = and(c2,and(not(d1),or(b1,f2))) ),
inference(resolve,[$cnf( $equal(and(and(c2,or(b1,f2)),not(d1)),and(c2,and(or(b1,f2),not(d1)))) )],[refute_0_1780,refute_0_1781]) ).
cnf(refute_0_1783,plain,
and(and(c2,or(b1,f2)),not(d1)) = and(c2,and(not(d1),or(b1,f2))),
inference(resolve,[$cnf( $equal(and(c2,and(or(b1,f2),not(d1))),and(c2,and(not(d1),or(b1,f2)))) )],[refute_0_1779,refute_0_1782]) ).
cnf(refute_0_1784,plain,
or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(and(c2,or(b1,f2)),not(d1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(c2,or(b1,f2)),not(d1))))]]) ).
cnf(refute_0_1785,plain,
( and(and(c2,or(b1,f2)),not(d1)) != and(c2,and(not(d1),or(b1,f2)))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) != and(and(c2,or(b1,f2)),not(d1))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,and(not(d1),or(b1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(c2,or(b1,f2)),not(d1))))),bind(Y0,$fot(and(and(c2,or(b1,f2)),not(d1)))),bind(Z0,$fot(and(c2,and(not(d1),or(b1,f2)))))]]) ).
cnf(refute_0_1786,plain,
( and(and(c2,or(b1,f2)),not(d1)) != and(c2,and(not(d1),or(b1,f2)))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,and(not(d1),or(b1,f2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(c2,or(b1,f2)),not(d1))),and(and(c2,or(b1,f2)),not(d1))) )],[refute_0_1784,refute_0_1785]) ).
cnf(refute_0_1787,plain,
or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,and(not(d1),or(b1,f2))),
inference(resolve,[$cnf( $equal(and(and(c2,or(b1,f2)),not(d1)),and(c2,and(not(d1),or(b1,f2)))) )],[refute_0_1783,refute_0_1786]) ).
cnf(refute_0_1788,plain,
( and(c2,and(not(d1),or(b1,f2))) != and(c2,and(b1,or(b1,f2)))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) != and(c2,and(not(d1),or(b1,f2)))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,and(b1,or(b1,f2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(c2,or(b1,f2)),not(d1))))),bind(Y0,$fot(and(c2,and(not(d1),or(b1,f2))))),bind(Z0,$fot(and(c2,and(b1,or(b1,f2)))))]]) ).
cnf(refute_0_1789,plain,
( and(c2,and(not(d1),or(b1,f2))) != and(c2,and(b1,or(b1,f2)))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,and(b1,or(b1,f2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(c2,or(b1,f2)),not(d1))),and(c2,and(not(d1),or(b1,f2)))) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
or(n0,and(and(c2,or(b1,f2)),not(d1))) = and(c2,and(b1,or(b1,f2))),
inference(resolve,[$cnf( $equal(and(c2,and(not(d1),or(b1,f2))),and(c2,and(b1,or(b1,f2)))) )],[refute_0_1778,refute_0_1789]) ).
cnf(refute_0_1791,plain,
( or(n0,and(and(c2,or(b1,f2)),not(d1))) != and(c2,and(b1,or(b1,f2)))
| or(n0,and(and(c2,or(b1,f2)),not(d1))) != and(c2,or(b1,f2))
| and(c2,and(b1,or(b1,f2))) = and(c2,or(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(c2,or(b1,f2)),not(d1))),and(c2,or(b1,f2))) ),[0],$fot(and(c2,and(b1,or(b1,f2))))]]) ).
cnf(refute_0_1792,plain,
( or(n0,and(and(c2,or(b1,f2)),not(d1))) != and(c2,or(b1,f2))
| and(c2,and(b1,or(b1,f2))) = and(c2,or(b1,f2)) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(c2,or(b1,f2)),not(d1))),and(c2,and(b1,or(b1,f2)))) )],[refute_0_1790,refute_0_1791]) ).
cnf(refute_0_1793,plain,
and(c2,and(b1,or(b1,f2))) = and(c2,or(b1,f2)),
inference(resolve,[$cnf( $equal(or(n0,and(and(c2,or(b1,f2)),not(d1))),and(c2,or(b1,f2))) )],[refute_0_1770,refute_0_1792]) ).
cnf(refute_0_1794,plain,
and(c2,b1) = and(b1,c2),
inference(subst,[],[refute_0_129:[bind(X,$fot(b1)),bind(Y,$fot(c2))]]) ).
cnf(refute_0_1795,plain,
not(not(and(b1,or(b1,f2)))) = and(b1,or(b1,f2)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b1,or(b1,f2))))]]) ).
cnf(refute_0_1796,plain,
not(and(or(b1,f2),b1)) = or(d1,not(or(b1,f2))),
inference(subst,[],[refute_0_858:[bind(X_109,$fot(or(b1,f2)))]]) ).
cnf(refute_0_1797,plain,
not(not(and(c2,d1))) = and(c2,d1),
inference(subst,[],[not_simplification:[bind(X,$fot(and(c2,d1)))]]) ).
cnf(refute_0_1798,plain,
( not(and(c2,d1)) != or(b1,f2)
| not(not(and(c2,d1))) != and(c2,d1)
| not(or(b1,f2)) = and(c2,d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(c2,d1))),and(c2,d1)) ),[0,0],$fot(or(b1,f2))]]) ).
cnf(refute_0_1799,plain,
( not(not(and(c2,d1))) != and(c2,d1)
| not(or(b1,f2)) = and(c2,d1) ),
inference(resolve,[$cnf( $equal(not(and(c2,d1)),or(b1,f2)) )],[refute_0_1727,refute_0_1798]) ).
cnf(refute_0_1800,plain,
not(or(b1,f2)) = and(c2,d1),
inference(resolve,[$cnf( $equal(not(not(and(c2,d1))),and(c2,d1)) )],[refute_0_1797,refute_0_1799]) ).
cnf(refute_0_1801,plain,
( not(and(or(b1,f2),b1)) != or(d1,not(or(b1,f2)))
| not(or(b1,f2)) != and(c2,d1)
| not(and(or(b1,f2),b1)) = or(d1,and(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,f2),b1)),or(d1,not(or(b1,f2)))) ),[1,1],$fot(and(c2,d1))]]) ).
cnf(refute_0_1802,plain,
( not(and(or(b1,f2),b1)) != or(d1,not(or(b1,f2)))
| not(and(or(b1,f2),b1)) = or(d1,and(c2,d1)) ),
inference(resolve,[$cnf( $equal(not(or(b1,f2)),and(c2,d1)) )],[refute_0_1800,refute_0_1801]) ).
cnf(refute_0_1803,plain,
not(and(or(b1,f2),b1)) = or(d1,and(c2,d1)),
inference(resolve,[$cnf( $equal(not(and(or(b1,f2),b1)),or(d1,not(or(b1,f2)))) )],[refute_0_1796,refute_0_1802]) ).
cnf(refute_0_1804,plain,
not(and(or(b1,f2),b1)) = not(and(b1,or(b1,f2))),
inference(subst,[],[refute_0_884:[bind(X_117,$fot(or(b1,f2)))]]) ).
cnf(refute_0_1805,plain,
( not(and(or(b1,f2),b1)) != not(and(b1,or(b1,f2)))
| not(and(or(b1,f2),b1)) != or(d1,and(c2,d1))
| not(and(b1,or(b1,f2))) = or(d1,and(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,f2),b1)),or(d1,and(c2,d1))) ),[0],$fot(not(and(b1,or(b1,f2))))]]) ).
cnf(refute_0_1806,plain,
( not(and(or(b1,f2),b1)) != or(d1,and(c2,d1))
| not(and(b1,or(b1,f2))) = or(d1,and(c2,d1)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,f2),b1)),not(and(b1,or(b1,f2)))) )],[refute_0_1804,refute_0_1805]) ).
cnf(refute_0_1807,plain,
or(and(i2,X_31),or(and(X_31,f2),and(i2,X_31))) = or(and(i2,X_31),and(X_31,f2)),
inference(subst,[],[refute_0_345:[bind(X,$fot(and(i2,X_31))),bind(Y,$fot(and(X_31,f2)))]]) ).
cnf(refute_0_1808,plain,
( or(and(X_31,f2),and(i2,X_31)) != X_31
| or(and(i2,X_31),or(and(X_31,f2),and(i2,X_31))) != or(and(i2,X_31),and(X_31,f2))
| or(and(i2,X_31),X_31) = or(and(i2,X_31),and(X_31,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(i2,X_31),or(and(X_31,f2),and(i2,X_31))),or(and(i2,X_31),and(X_31,f2))) ),[0,1],$fot(X_31)]]) ).
cnf(refute_0_1809,plain,
( or(and(i2,X_31),or(and(X_31,f2),and(i2,X_31))) != or(and(i2,X_31),and(X_31,f2))
| or(and(i2,X_31),X_31) = or(and(i2,X_31),and(X_31,f2)) ),
inference(resolve,[$cnf( $equal(or(and(X_31,f2),and(i2,X_31)),X_31) )],[refute_0_903,refute_0_1808]) ).
cnf(refute_0_1810,plain,
or(and(i2,X_31),X_31) = or(and(i2,X_31),and(X_31,f2)),
inference(resolve,[$cnf( $equal(or(and(i2,X_31),or(and(X_31,f2),and(i2,X_31))),or(and(i2,X_31),and(X_31,f2))) )],[refute_0_1807,refute_0_1809]) ).
cnf(refute_0_1811,plain,
or(and(i2,X_31),X_31) = or(X_31,and(i2,X_31)),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_31)),bind(Y,$fot(and(i2,X_31)))]]) ).
cnf(refute_0_1812,plain,
( or(and(i2,X_31),X_31) != or(X_31,and(i2,X_31))
| or(and(i2,X_31),X_31) != or(and(i2,X_31),and(X_31,f2))
| or(X_31,and(i2,X_31)) = or(and(i2,X_31),and(X_31,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(i2,X_31),X_31),or(and(i2,X_31),and(X_31,f2))) ),[0],$fot(or(X_31,and(i2,X_31)))]]) ).
cnf(refute_0_1813,plain,
( or(and(i2,X_31),X_31) != or(and(i2,X_31),and(X_31,f2))
| or(X_31,and(i2,X_31)) = or(and(i2,X_31),and(X_31,f2)) ),
inference(resolve,[$cnf( $equal(or(and(i2,X_31),X_31),or(X_31,and(i2,X_31))) )],[refute_0_1811,refute_0_1812]) ).
cnf(refute_0_1814,plain,
( or(X_31,and(i2,X_31)) != or(and(i2,X_31),and(X_31,f2))
| or(and(i2,X_31),and(X_31,f2)) != X_31
| or(X_31,and(i2,X_31)) = X_31 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X_31,and(i2,X_31)),X_31) ),[0],$fot(or(and(i2,X_31),and(X_31,f2)))]]) ).
cnf(refute_0_1815,plain,
( or(X_31,and(i2,X_31)) != or(and(i2,X_31),and(X_31,f2))
| or(X_31,and(i2,X_31)) = X_31 ),
inference(resolve,[$cnf( $equal(or(and(i2,X_31),and(X_31,f2)),X_31) )],[refute_0_900,refute_0_1814]) ).
cnf(refute_0_1816,plain,
( or(and(i2,X_31),X_31) != or(and(i2,X_31),and(X_31,f2))
| or(X_31,and(i2,X_31)) = X_31 ),
inference(resolve,[$cnf( $equal(or(X_31,and(i2,X_31)),or(and(i2,X_31),and(X_31,f2))) )],[refute_0_1813,refute_0_1815]) ).
cnf(refute_0_1817,plain,
or(X_31,and(i2,X_31)) = X_31,
inference(resolve,[$cnf( $equal(or(and(i2,X_31),X_31),or(and(i2,X_31),and(X_31,f2))) )],[refute_0_1810,refute_0_1816]) ).
cnf(refute_0_1818,plain,
and(i2,X_31) = and(i2,X_31),
introduced(tautology,[refl,[$fot(and(i2,X_31))]]) ).
cnf(refute_0_1819,plain,
( and(i2,X_31) != and(i2,X_31)
| i2 != c2
| and(i2,X_31) = and(c2,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(and(i2,X_31),and(i2,X_31)) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_1820,plain,
( i2 != c2
| and(i2,X_31) = and(c2,X_31) ),
inference(resolve,[$cnf( $equal(and(i2,X_31),and(i2,X_31)) )],[refute_0_1818,refute_0_1819]) ).
cnf(refute_0_1821,plain,
and(i2,X_31) = and(c2,X_31),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_1820]) ).
cnf(refute_0_1822,plain,
or(X_31,and(i2,X_31)) = or(X_31,and(i2,X_31)),
introduced(tautology,[refl,[$fot(or(X_31,and(i2,X_31)))]]) ).
cnf(refute_0_1823,plain,
( and(i2,X_31) != and(c2,X_31)
| or(X_31,and(i2,X_31)) != or(X_31,and(i2,X_31))
| or(X_31,and(i2,X_31)) = or(X_31,and(c2,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_31,and(i2,X_31)),or(X_31,and(i2,X_31))) ),[1,1],$fot(and(c2,X_31))]]) ).
cnf(refute_0_1824,plain,
( and(i2,X_31) != and(c2,X_31)
| or(X_31,and(i2,X_31)) = or(X_31,and(c2,X_31)) ),
inference(resolve,[$cnf( $equal(or(X_31,and(i2,X_31)),or(X_31,and(i2,X_31))) )],[refute_0_1822,refute_0_1823]) ).
cnf(refute_0_1825,plain,
or(X_31,and(i2,X_31)) = or(X_31,and(c2,X_31)),
inference(resolve,[$cnf( $equal(and(i2,X_31),and(c2,X_31)) )],[refute_0_1821,refute_0_1824]) ).
cnf(refute_0_1826,plain,
( or(X_31,and(i2,X_31)) != X_31
| or(X_31,and(i2,X_31)) != or(X_31,and(c2,X_31))
| or(X_31,and(c2,X_31)) = X_31 ),
introduced(tautology,[equality,[$cnf( $equal(or(X_31,and(i2,X_31)),X_31) ),[0],$fot(or(X_31,and(c2,X_31)))]]) ).
cnf(refute_0_1827,plain,
( or(X_31,and(i2,X_31)) != X_31
| or(X_31,and(c2,X_31)) = X_31 ),
inference(resolve,[$cnf( $equal(or(X_31,and(i2,X_31)),or(X_31,and(c2,X_31))) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
or(X_31,and(c2,X_31)) = X_31,
inference(resolve,[$cnf( $equal(or(X_31,and(i2,X_31)),X_31) )],[refute_0_1817,refute_0_1827]) ).
cnf(refute_0_1829,plain,
or(d1,and(c2,d1)) = d1,
inference(subst,[],[refute_0_1828:[bind(X_31,$fot(d1))]]) ).
cnf(refute_0_1830,plain,
( not(and(b1,or(b1,f2))) != or(d1,and(c2,d1))
| or(d1,and(c2,d1)) != d1
| not(and(b1,or(b1,f2))) = d1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,or(b1,f2))),d1) ),[0],$fot(or(d1,and(c2,d1)))]]) ).
cnf(refute_0_1831,plain,
( not(and(b1,or(b1,f2))) != or(d1,and(c2,d1))
| not(and(b1,or(b1,f2))) = d1 ),
inference(resolve,[$cnf( $equal(or(d1,and(c2,d1)),d1) )],[refute_0_1829,refute_0_1830]) ).
cnf(refute_0_1832,plain,
( not(and(or(b1,f2),b1)) != or(d1,and(c2,d1))
| not(and(b1,or(b1,f2))) = d1 ),
inference(resolve,[$cnf( $equal(not(and(b1,or(b1,f2))),or(d1,and(c2,d1))) )],[refute_0_1806,refute_0_1831]) ).
cnf(refute_0_1833,plain,
not(and(b1,or(b1,f2))) = d1,
inference(resolve,[$cnf( $equal(not(and(or(b1,f2),b1)),or(d1,and(c2,d1))) )],[refute_0_1803,refute_0_1832]) ).
cnf(refute_0_1834,plain,
( not(and(b1,or(b1,f2))) != d1
| not(not(and(b1,or(b1,f2)))) != and(b1,or(b1,f2))
| not(d1) = and(b1,or(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b1,or(b1,f2)))),and(b1,or(b1,f2))) ),[0,0],$fot(d1)]]) ).
cnf(refute_0_1835,plain,
( not(not(and(b1,or(b1,f2)))) != and(b1,or(b1,f2))
| not(d1) = and(b1,or(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(b1,or(b1,f2))),d1) )],[refute_0_1833,refute_0_1834]) ).
cnf(refute_0_1836,plain,
not(d1) = and(b1,or(b1,f2)),
inference(resolve,[$cnf( $equal(not(not(and(b1,or(b1,f2)))),and(b1,or(b1,f2))) )],[refute_0_1795,refute_0_1835]) ).
cnf(refute_0_1837,plain,
( not(d1) != and(b1,or(b1,f2))
| not(d1) != b1
| b1 = and(b1,or(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(d1),and(b1,or(b1,f2))) ),[0],$fot(b1)]]) ).
cnf(refute_0_1838,plain,
( not(d1) != and(b1,or(b1,f2))
| b1 = and(b1,or(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_1837]) ).
cnf(refute_0_1839,plain,
b1 = and(b1,or(b1,f2)),
inference(resolve,[$cnf( $equal(not(d1),and(b1,or(b1,f2))) )],[refute_0_1836,refute_0_1838]) ).
cnf(refute_0_1840,plain,
( b1 != and(b1,or(b1,f2))
| and(b1,or(b1,f2)) = b1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b1)),bind(Y0,$fot(and(b1,or(b1,f2))))]]) ).
cnf(refute_0_1841,plain,
and(b1,or(b1,f2)) = b1,
inference(resolve,[$cnf( $equal(b1,and(b1,or(b1,f2))) )],[refute_0_1839,refute_0_1840]) ).
cnf(refute_0_1842,plain,
and(c2,and(b1,or(b1,f2))) = and(c2,and(b1,or(b1,f2))),
introduced(tautology,[refl,[$fot(and(c2,and(b1,or(b1,f2))))]]) ).
cnf(refute_0_1843,plain,
( and(b1,or(b1,f2)) != b1
| and(c2,and(b1,or(b1,f2))) != and(c2,and(b1,or(b1,f2)))
| and(c2,and(b1,or(b1,f2))) = and(c2,b1) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,and(b1,or(b1,f2))),and(c2,and(b1,or(b1,f2)))) ),[1,1],$fot(b1)]]) ).
cnf(refute_0_1844,plain,
( and(b1,or(b1,f2)) != b1
| and(c2,and(b1,or(b1,f2))) = and(c2,b1) ),
inference(resolve,[$cnf( $equal(and(c2,and(b1,or(b1,f2))),and(c2,and(b1,or(b1,f2)))) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
and(c2,and(b1,or(b1,f2))) = and(c2,b1),
inference(resolve,[$cnf( $equal(and(b1,or(b1,f2)),b1) )],[refute_0_1841,refute_0_1844]) ).
cnf(refute_0_1846,plain,
( and(c2,and(b1,or(b1,f2))) != and(c2,b1)
| and(c2,b1) != and(b1,c2)
| and(c2,and(b1,or(b1,f2))) = and(b1,c2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c2,and(b1,or(b1,f2))))),bind(Y0,$fot(and(c2,b1))),bind(Z0,$fot(and(b1,c2)))]]) ).
cnf(refute_0_1847,plain,
( and(c2,b1) != and(b1,c2)
| and(c2,and(b1,or(b1,f2))) = and(b1,c2) ),
inference(resolve,[$cnf( $equal(and(c2,and(b1,or(b1,f2))),and(c2,b1)) )],[refute_0_1845,refute_0_1846]) ).
cnf(refute_0_1848,plain,
and(c2,and(b1,or(b1,f2))) = and(b1,c2),
inference(resolve,[$cnf( $equal(and(c2,b1),and(b1,c2)) )],[refute_0_1794,refute_0_1847]) ).
cnf(refute_0_1849,plain,
( and(c2,and(b1,or(b1,f2))) != and(b1,c2)
| and(c2,and(b1,or(b1,f2))) != and(c2,or(b1,f2))
| and(b1,c2) = and(c2,or(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,and(b1,or(b1,f2))),and(c2,or(b1,f2))) ),[0],$fot(and(b1,c2))]]) ).
cnf(refute_0_1850,plain,
( and(c2,and(b1,or(b1,f2))) != and(c2,or(b1,f2))
| and(b1,c2) = and(c2,or(b1,f2)) ),
inference(resolve,[$cnf( $equal(and(c2,and(b1,or(b1,f2))),and(b1,c2)) )],[refute_0_1848,refute_0_1849]) ).
cnf(refute_0_1851,plain,
and(b1,c2) = and(c2,or(b1,f2)),
inference(resolve,[$cnf( $equal(and(c2,and(b1,or(b1,f2))),and(c2,or(b1,f2))) )],[refute_0_1793,refute_0_1850]) ).
cnf(refute_0_1852,plain,
and(c2,n1) = c2,
inference(subst,[],[and_definition2:[bind(X,$fot(c2))]]) ).
cnf(refute_0_1853,plain,
or(or(and(d1,f2),and(c1,or(b1,c2))),or(f1,or(and(d1,f2),and(c1,or(b1,c2))))) = or(or(and(d1,f2),and(c1,or(b1,c2))),f1),
inference(subst,[],[refute_0_345:[bind(X,$fot(or(and(d1,f2),and(c1,or(b1,c2))))),bind(Y,$fot(f1))]]) ).
cnf(refute_0_1854,plain,
or(or(f1,and(d1,f2)),not(or(f1,and(d1,f2)))) = n1,
inference(subst,[],[or_not_simplification1:[bind(X,$fot(or(f1,and(d1,f2))))]]) ).
cnf(refute_0_1855,plain,
not(not(and(c1,or(b1,i2)))) = and(c1,or(b1,i2)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(c1,or(b1,i2))))]]) ).
cnf(refute_0_1856,plain,
( not(and(c1,or(b1,i2))) != or(f1,and(d1,f2))
| not(not(and(c1,or(b1,i2)))) != and(c1,or(b1,i2))
| not(or(f1,and(d1,f2))) = and(c1,or(b1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(c1,or(b1,i2)))),and(c1,or(b1,i2))) ),[0,0],$fot(or(f1,and(d1,f2)))]]) ).
cnf(refute_0_1857,plain,
( not(not(and(c1,or(b1,i2)))) != and(c1,or(b1,i2))
| not(or(f1,and(d1,f2))) = and(c1,or(b1,i2)) ),
inference(resolve,[$cnf( $equal(not(and(c1,or(b1,i2))),or(f1,and(d1,f2))) )],[refute_0_1015,refute_0_1856]) ).
cnf(refute_0_1858,plain,
not(or(f1,and(d1,f2))) = and(c1,or(b1,i2)),
inference(resolve,[$cnf( $equal(not(not(and(c1,or(b1,i2)))),and(c1,or(b1,i2))) )],[refute_0_1855,refute_0_1857]) ).
cnf(refute_0_1859,plain,
and(c1,or(b1,i2)) = and(c1,or(b1,i2)),
introduced(tautology,[refl,[$fot(and(c1,or(b1,i2)))]]) ).
cnf(refute_0_1860,plain,
( and(c1,or(b1,i2)) != and(c1,or(b1,i2))
| or(b1,i2) != or(b1,c2)
| and(c1,or(b1,i2)) = and(c1,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,or(b1,i2)),and(c1,or(b1,i2))) ),[1,1],$fot(or(b1,c2))]]) ).
cnf(refute_0_1861,plain,
( or(b1,i2) != or(b1,c2)
| and(c1,or(b1,i2)) = and(c1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(c1,or(b1,i2)),and(c1,or(b1,i2))) )],[refute_0_1859,refute_0_1860]) ).
cnf(refute_0_1862,plain,
and(c1,or(b1,i2)) = and(c1,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(b1,i2),or(b1,c2)) )],[refute_0_772,refute_0_1861]) ).
cnf(refute_0_1863,plain,
( and(c1,or(b1,i2)) != and(c1,or(b1,c2))
| not(or(f1,and(d1,f2))) != and(c1,or(b1,i2))
| not(or(f1,and(d1,f2))) = and(c1,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(f1,and(d1,f2))),and(c1,or(b1,i2))) ),[1],$fot(and(c1,or(b1,c2)))]]) ).
cnf(refute_0_1864,plain,
( not(or(f1,and(d1,f2))) != and(c1,or(b1,i2))
| not(or(f1,and(d1,f2))) = and(c1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(c1,or(b1,i2)),and(c1,or(b1,c2))) )],[refute_0_1862,refute_0_1863]) ).
cnf(refute_0_1865,plain,
not(or(f1,and(d1,f2))) = and(c1,or(b1,c2)),
inference(resolve,[$cnf( $equal(not(or(f1,and(d1,f2))),and(c1,or(b1,i2))) )],[refute_0_1858,refute_0_1864]) ).
cnf(refute_0_1866,plain,
( not(or(f1,and(d1,f2))) != and(c1,or(b1,c2))
| or(or(f1,and(d1,f2)),not(or(f1,and(d1,f2)))) != n1
| or(or(f1,and(d1,f2)),and(c1,or(b1,c2))) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(f1,and(d1,f2)),not(or(f1,and(d1,f2)))),n1) ),[0,1],$fot(and(c1,or(b1,c2)))]]) ).
cnf(refute_0_1867,plain,
( or(or(f1,and(d1,f2)),not(or(f1,and(d1,f2)))) != n1
| or(or(f1,and(d1,f2)),and(c1,or(b1,c2))) = n1 ),
inference(resolve,[$cnf( $equal(not(or(f1,and(d1,f2))),and(c1,or(b1,c2))) )],[refute_0_1865,refute_0_1866]) ).
cnf(refute_0_1868,plain,
or(or(f1,and(d1,f2)),and(c1,or(b1,c2))) = n1,
inference(resolve,[$cnf( $equal(or(or(f1,and(d1,f2)),not(or(f1,and(d1,f2)))),n1) )],[refute_0_1854,refute_0_1867]) ).
cnf(refute_0_1869,plain,
or(or(f1,and(d1,f2)),and(c1,or(b1,c2))) = or(f1,or(and(d1,f2),and(c1,or(b1,c2)))),
inference(subst,[],[refute_0_65:[bind(X,$fot(f1)),bind(Y,$fot(and(d1,f2))),bind(Z,$fot(and(c1,or(b1,c2))))]]) ).
cnf(refute_0_1870,plain,
( or(or(f1,and(d1,f2)),and(c1,or(b1,c2))) != n1
| or(or(f1,and(d1,f2)),and(c1,or(b1,c2))) != or(f1,or(and(d1,f2),and(c1,or(b1,c2))))
| or(f1,or(and(d1,f2),and(c1,or(b1,c2)))) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(f1,and(d1,f2)),and(c1,or(b1,c2))),n1) ),[0],$fot(or(f1,or(and(d1,f2),and(c1,or(b1,c2)))))]]) ).
cnf(refute_0_1871,plain,
( or(or(f1,and(d1,f2)),and(c1,or(b1,c2))) != n1
| or(f1,or(and(d1,f2),and(c1,or(b1,c2)))) = n1 ),
inference(resolve,[$cnf( $equal(or(or(f1,and(d1,f2)),and(c1,or(b1,c2))),or(f1,or(and(d1,f2),and(c1,or(b1,c2))))) )],[refute_0_1869,refute_0_1870]) ).
cnf(refute_0_1872,plain,
or(f1,or(and(d1,f2),and(c1,or(b1,c2)))) = n1,
inference(resolve,[$cnf( $equal(or(or(f1,and(d1,f2)),and(c1,or(b1,c2))),n1) )],[refute_0_1868,refute_0_1871]) ).
cnf(refute_0_1873,plain,
( or(f1,or(and(d1,f2),and(c1,or(b1,c2)))) != n1
| or(or(and(d1,f2),and(c1,or(b1,c2))),or(f1,or(and(d1,f2),and(c1,or(b1,c2))))) != or(or(and(d1,f2),and(c1,or(b1,c2))),f1)
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = or(or(and(d1,f2),and(c1,or(b1,c2))),f1) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),or(f1,or(and(d1,f2),and(c1,or(b1,c2))))),or(or(and(d1,f2),and(c1,or(b1,c2))),f1)) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_1874,plain,
( or(or(and(d1,f2),and(c1,or(b1,c2))),or(f1,or(and(d1,f2),and(c1,or(b1,c2))))) != or(or(and(d1,f2),and(c1,or(b1,c2))),f1)
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = or(or(and(d1,f2),and(c1,or(b1,c2))),f1) ),
inference(resolve,[$cnf( $equal(or(f1,or(and(d1,f2),and(c1,or(b1,c2)))),n1) )],[refute_0_1872,refute_0_1873]) ).
cnf(refute_0_1875,plain,
or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = or(or(and(d1,f2),and(c1,or(b1,c2))),f1),
inference(resolve,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),or(f1,or(and(d1,f2),and(c1,or(b1,c2))))),or(or(and(d1,f2),and(c1,or(b1,c2))),f1)) )],[refute_0_1853,refute_0_1874]) ).
cnf(refute_0_1876,plain,
or(X,n1) = or(n1,X),
inference(subst,[],[or_commutativity:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_1877,plain,
( or(X,n1) != n1
| or(X,n1) != or(n1,X)
| or(n1,X) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(X,n1),n1) ),[0],$fot(or(n1,X))]]) ).
cnf(refute_0_1878,plain,
( or(X,n1) != n1
| or(n1,X) = n1 ),
inference(resolve,[$cnf( $equal(or(X,n1),or(n1,X)) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
or(n1,X) = n1,
inference(resolve,[$cnf( $equal(or(X,n1),n1) )],[or_definition2,refute_0_1878]) ).
cnf(refute_0_1880,plain,
or(n1,and(d1,f2)) = n1,
inference(subst,[],[refute_0_1879:[bind(X,$fot(and(d1,f2)))]]) ).
cnf(refute_0_1881,plain,
or(and(d1,f2),n1) = or(n1,and(d1,f2)),
inference(subst,[],[refute_0_37:[bind(X,$fot(n1)),bind(Y,$fot(and(d1,f2)))]]) ).
cnf(refute_0_1882,plain,
( or(and(d1,f2),n1) != or(n1,and(d1,f2))
| or(n1,and(d1,f2)) != n1
| or(and(d1,f2),n1) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(d1,f2),n1))),bind(Y0,$fot(or(n1,and(d1,f2)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1883,plain,
( or(n1,and(d1,f2)) != n1
| or(and(d1,f2),n1) = n1 ),
inference(resolve,[$cnf( $equal(or(and(d1,f2),n1),or(n1,and(d1,f2))) )],[refute_0_1881,refute_0_1882]) ).
cnf(refute_0_1884,plain,
or(and(d1,f2),n1) = n1,
inference(resolve,[$cnf( $equal(or(n1,and(d1,f2)),n1) )],[refute_0_1880,refute_0_1883]) ).
cnf(refute_0_1885,plain,
or(n1,and(c1,or(b1,c2))) = n1,
inference(subst,[],[refute_0_1879:[bind(X,$fot(and(c1,or(b1,c2))))]]) ).
cnf(refute_0_1886,plain,
or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) = or(and(d1,f2),or(n1,and(c1,or(b1,c2)))),
introduced(tautology,[refl,[$fot(or(and(d1,f2),or(n1,and(c1,or(b1,c2)))))]]) ).
cnf(refute_0_1887,plain,
( or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) != or(and(d1,f2),or(n1,and(c1,or(b1,c2))))
| or(n1,and(c1,or(b1,c2))) != n1
| or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) = or(and(d1,f2),n1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,f2),or(n1,and(c1,or(b1,c2)))),or(and(d1,f2),or(n1,and(c1,or(b1,c2))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1888,plain,
( or(n1,and(c1,or(b1,c2))) != n1
| or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) = or(and(d1,f2),n1) ),
inference(resolve,[$cnf( $equal(or(and(d1,f2),or(n1,and(c1,or(b1,c2)))),or(and(d1,f2),or(n1,and(c1,or(b1,c2))))) )],[refute_0_1886,refute_0_1887]) ).
cnf(refute_0_1889,plain,
or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) = or(and(d1,f2),n1),
inference(resolve,[$cnf( $equal(or(n1,and(c1,or(b1,c2))),n1) )],[refute_0_1885,refute_0_1888]) ).
cnf(refute_0_1890,plain,
( or(and(d1,f2),n1) != n1
| or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) != or(and(d1,f2),n1)
| or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(d1,f2),or(n1,and(c1,or(b1,c2)))))),bind(Y0,$fot(or(and(d1,f2),n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1891,plain,
( or(and(d1,f2),n1) != n1
| or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) = n1 ),
inference(resolve,[$cnf( $equal(or(and(d1,f2),or(n1,and(c1,or(b1,c2)))),or(and(d1,f2),n1)) )],[refute_0_1889,refute_0_1890]) ).
cnf(refute_0_1892,plain,
or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) = n1,
inference(resolve,[$cnf( $equal(or(and(d1,f2),n1),n1) )],[refute_0_1884,refute_0_1891]) ).
cnf(refute_0_1893,plain,
( or(or(X,Y),Z) != or(X,or(Y,Z))
| or(or(X,Y),Z) != or(or(X,Z),Y)
| or(X,or(Y,Z)) = or(or(X,Z),Y) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(X,Y),Z),or(or(X,Z),Y)) ),[0],$fot(or(X,or(Y,Z)))]]) ).
cnf(refute_0_1894,plain,
( or(or(X,Y),Z) != or(or(X,Z),Y)
| or(X,or(Y,Z)) = or(or(X,Z),Y) ),
inference(resolve,[$cnf( $equal(or(or(X,Y),Z),or(X,or(Y,Z))) )],[refute_0_65,refute_0_1893]) ).
cnf(refute_0_1895,plain,
or(or(X,Z),Y) = or(X,or(Z,Y)),
inference(subst,[],[refute_0_65:[bind(Y,$fot(Z)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1896,plain,
( or(X,or(Y,Z)) != or(or(X,Z),Y)
| or(or(X,Z),Y) != or(X,or(Z,Y))
| or(X,or(Y,Z)) = or(X,or(Z,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X,or(Y,Z)),or(X,or(Z,Y))) ),[0],$fot(or(or(X,Z),Y))]]) ).
cnf(refute_0_1897,plain,
( or(X,or(Y,Z)) != or(or(X,Z),Y)
| or(X,or(Y,Z)) = or(X,or(Z,Y)) ),
inference(resolve,[$cnf( $equal(or(or(X,Z),Y),or(X,or(Z,Y))) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
( or(or(X,Y),Z) != or(or(X,Z),Y)
| or(X,or(Y,Z)) = or(X,or(Z,Y)) ),
inference(resolve,[$cnf( $equal(or(X,or(Y,Z)),or(or(X,Z),Y)) )],[refute_0_1894,refute_0_1897]) ).
cnf(refute_0_1899,plain,
or(X,or(Y,Z)) = or(X,or(Z,Y)),
inference(resolve,[$cnf( $equal(or(or(X,Y),Z),or(or(X,Z),Y)) )],[or_sorting,refute_0_1898]) ).
cnf(refute_0_1900,plain,
( or(X,or(Y,Z)) != or(X,or(Z,Y))
| or(X,or(Z,Y)) = or(X,or(Y,Z)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(X,or(Y,Z)))),bind(Y0,$fot(or(X,or(Z,Y))))]]) ).
cnf(refute_0_1901,plain,
or(X,or(Z,Y)) = or(X,or(Y,Z)),
inference(resolve,[$cnf( $equal(or(X,or(Y,Z)),or(X,or(Z,Y))) )],[refute_0_1899,refute_0_1900]) ).
cnf(refute_0_1902,plain,
or(and(d1,f2),or(and(c1,or(b1,c2)),n1)) = or(and(d1,f2),or(n1,and(c1,or(b1,c2)))),
inference(subst,[],[refute_0_1901:[bind(X,$fot(and(d1,f2))),bind(Y,$fot(n1)),bind(Z,$fot(and(c1,or(b1,c2))))]]) ).
cnf(refute_0_1903,plain,
or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = or(and(d1,f2),or(and(c1,or(b1,c2)),n1)),
inference(subst,[],[refute_0_65:[bind(X,$fot(and(d1,f2))),bind(Y,$fot(and(c1,or(b1,c2)))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_1904,plain,
( or(and(d1,f2),or(and(c1,or(b1,c2)),n1)) != or(and(d1,f2),or(n1,and(c1,or(b1,c2))))
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) != or(and(d1,f2),or(and(c1,or(b1,c2)),n1))
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(and(d1,f2),and(c1,or(b1,c2))),n1))),bind(Y0,$fot(or(and(d1,f2),or(and(c1,or(b1,c2)),n1)))),bind(Z0,$fot(or(and(d1,f2),or(n1,and(c1,or(b1,c2))))))]]) ).
cnf(refute_0_1905,plain,
( or(and(d1,f2),or(and(c1,or(b1,c2)),n1)) != or(and(d1,f2),or(n1,and(c1,or(b1,c2))))
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) ),
inference(resolve,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),n1),or(and(d1,f2),or(and(c1,or(b1,c2)),n1))) )],[refute_0_1903,refute_0_1904]) ).
cnf(refute_0_1906,plain,
or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = or(and(d1,f2),or(n1,and(c1,or(b1,c2)))),
inference(resolve,[$cnf( $equal(or(and(d1,f2),or(and(c1,or(b1,c2)),n1)),or(and(d1,f2),or(n1,and(c1,or(b1,c2))))) )],[refute_0_1902,refute_0_1905]) ).
cnf(refute_0_1907,plain,
( or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) != n1
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) != or(and(d1,f2),or(n1,and(c1,or(b1,c2))))
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(and(d1,f2),and(c1,or(b1,c2))),n1))),bind(Y0,$fot(or(and(d1,f2),or(n1,and(c1,or(b1,c2)))))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1908,plain,
( or(and(d1,f2),or(n1,and(c1,or(b1,c2)))) != n1
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = n1 ),
inference(resolve,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),n1),or(and(d1,f2),or(n1,and(c1,or(b1,c2))))) )],[refute_0_1906,refute_0_1907]) ).
cnf(refute_0_1909,plain,
or(or(and(d1,f2),and(c1,or(b1,c2))),n1) = n1,
inference(resolve,[$cnf( $equal(or(and(d1,f2),or(n1,and(c1,or(b1,c2)))),n1) )],[refute_0_1892,refute_0_1908]) ).
cnf(refute_0_1910,plain,
( or(or(and(d1,f2),and(c1,or(b1,c2))),n1) != n1
| or(or(and(d1,f2),and(c1,or(b1,c2))),n1) != or(or(and(d1,f2),and(c1,or(b1,c2))),f1)
| n1 = or(or(and(d1,f2),and(c1,or(b1,c2))),f1) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),n1),or(or(and(d1,f2),and(c1,or(b1,c2))),f1)) ),[0],$fot(n1)]]) ).
cnf(refute_0_1911,plain,
( or(or(and(d1,f2),and(c1,or(b1,c2))),n1) != or(or(and(d1,f2),and(c1,or(b1,c2))),f1)
| n1 = or(or(and(d1,f2),and(c1,or(b1,c2))),f1) ),
inference(resolve,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),n1),n1) )],[refute_0_1909,refute_0_1910]) ).
cnf(refute_0_1912,plain,
or(and(d1,f2),or(and(c1,or(b1,c2)),f1)) = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))),
inference(subst,[],[refute_0_1901:[bind(X,$fot(and(d1,f2))),bind(Y,$fot(f1)),bind(Z,$fot(and(c1,or(b1,c2))))]]) ).
cnf(refute_0_1913,plain,
or(or(and(d1,f2),and(c1,or(b1,c2))),f1) = or(and(d1,f2),or(and(c1,or(b1,c2)),f1)),
inference(subst,[],[refute_0_65:[bind(X,$fot(and(d1,f2))),bind(Y,$fot(and(c1,or(b1,c2)))),bind(Z,$fot(f1))]]) ).
cnf(refute_0_1914,plain,
( or(and(d1,f2),or(and(c1,or(b1,c2)),f1)) != or(and(d1,f2),or(f1,and(c1,or(b1,c2))))
| or(or(and(d1,f2),and(c1,or(b1,c2))),f1) != or(and(d1,f2),or(and(c1,or(b1,c2)),f1))
| or(or(and(d1,f2),and(c1,or(b1,c2))),f1) = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(and(d1,f2),and(c1,or(b1,c2))),f1))),bind(Y0,$fot(or(and(d1,f2),or(and(c1,or(b1,c2)),f1)))),bind(Z0,$fot(or(and(d1,f2),or(f1,and(c1,or(b1,c2))))))]]) ).
cnf(refute_0_1915,plain,
( or(and(d1,f2),or(and(c1,or(b1,c2)),f1)) != or(and(d1,f2),or(f1,and(c1,or(b1,c2))))
| or(or(and(d1,f2),and(c1,or(b1,c2))),f1) = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) ),
inference(resolve,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),f1),or(and(d1,f2),or(and(c1,or(b1,c2)),f1))) )],[refute_0_1913,refute_0_1914]) ).
cnf(refute_0_1916,plain,
or(or(and(d1,f2),and(c1,or(b1,c2))),f1) = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))),
inference(resolve,[$cnf( $equal(or(and(d1,f2),or(and(c1,or(b1,c2)),f1)),or(and(d1,f2),or(f1,and(c1,or(b1,c2))))) )],[refute_0_1912,refute_0_1915]) ).
cnf(refute_0_1917,plain,
( n1 != or(or(and(d1,f2),and(c1,or(b1,c2))),f1)
| or(or(and(d1,f2),and(c1,or(b1,c2))),f1) != or(and(d1,f2),or(f1,and(c1,or(b1,c2))))
| n1 = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(n1,or(and(d1,f2),or(f1,and(c1,or(b1,c2))))) ),[0],$fot(or(or(and(d1,f2),and(c1,or(b1,c2))),f1))]]) ).
cnf(refute_0_1918,plain,
( n1 != or(or(and(d1,f2),and(c1,or(b1,c2))),f1)
| n1 = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) ),
inference(resolve,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),f1),or(and(d1,f2),or(f1,and(c1,or(b1,c2))))) )],[refute_0_1916,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( or(or(and(d1,f2),and(c1,or(b1,c2))),n1) != or(or(and(d1,f2),and(c1,or(b1,c2))),f1)
| n1 = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) ),
inference(resolve,[$cnf( $equal(n1,or(or(and(d1,f2),and(c1,or(b1,c2))),f1)) )],[refute_0_1911,refute_0_1918]) ).
cnf(refute_0_1920,plain,
n1 = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))),
inference(resolve,[$cnf( $equal(or(or(and(d1,f2),and(c1,or(b1,c2))),n1),or(or(and(d1,f2),and(c1,or(b1,c2))),f1)) )],[refute_0_1875,refute_0_1919]) ).
cnf(refute_0_1921,plain,
or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) = or(and(d1,f2),or(f1,and(c1,or(b1,c2)))),
introduced(tautology,[refl,[$fot(or(and(d1,f2),or(f1,and(c1,or(b1,c2)))))]]) ).
cnf(refute_0_1922,plain,
( and(d1,f2) != and(b3,f2)
| or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) != or(and(d1,f2),or(f1,and(c1,or(b1,c2))))
| or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) = or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,f2),or(f1,and(c1,or(b1,c2)))),or(and(d1,f2),or(f1,and(c1,or(b1,c2))))) ),[1,0],$fot(and(b3,f2))]]) ).
cnf(refute_0_1923,plain,
( and(d1,f2) != and(b3,f2)
| or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) = or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) ),
inference(resolve,[$cnf( $equal(or(and(d1,f2),or(f1,and(c1,or(b1,c2)))),or(and(d1,f2),or(f1,and(c1,or(b1,c2))))) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) = or(and(b3,f2),or(f1,and(c1,or(b1,c2)))),
inference(resolve,[$cnf( $equal(and(d1,f2),and(b3,f2)) )],[refute_0_1561,refute_0_1923]) ).
cnf(refute_0_1925,plain,
( n1 != or(and(d1,f2),or(f1,and(c1,or(b1,c2))))
| or(and(d1,f2),or(f1,and(c1,or(b1,c2)))) != or(and(b3,f2),or(f1,and(c1,or(b1,c2))))
| n1 = or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(n1,or(and(b3,f2),or(f1,and(c1,or(b1,c2))))) ),[0],$fot(or(and(d1,f2),or(f1,and(c1,or(b1,c2)))))]]) ).
cnf(refute_0_1926,plain,
( n1 != or(and(d1,f2),or(f1,and(c1,or(b1,c2))))
| n1 = or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) ),
inference(resolve,[$cnf( $equal(or(and(d1,f2),or(f1,and(c1,or(b1,c2)))),or(and(b3,f2),or(f1,and(c1,or(b1,c2))))) )],[refute_0_1924,refute_0_1925]) ).
cnf(refute_0_1927,plain,
n1 = or(and(b3,f2),or(f1,and(c1,or(b1,c2)))),
inference(resolve,[$cnf( $equal(n1,or(and(d1,f2),or(f1,and(c1,or(b1,c2))))) )],[refute_0_1920,refute_0_1926]) ).
cnf(refute_0_1928,plain,
not(and(and(b3,or(b1,c2)),d1)) = or(b1,not(and(b3,or(b1,c2)))),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(and(b3,or(b1,c2))))]]) ).
cnf(refute_0_1929,plain,
or(and(b3,f2),and(f2,not(b3))) = f2,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b3)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_1930,plain,
and(f2,and(f1,f2)) = and(f2,f1),
inference(subst,[],[refute_0_450:[bind(X,$fot(f2)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_1931,plain,
( and(f1,f2) != not(b3)
| and(f2,and(f1,f2)) != and(f2,f1)
| and(f2,not(b3)) = and(f2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,and(f1,f2)),and(f2,f1)) ),[0,1],$fot(not(b3))]]) ).
cnf(refute_0_1932,plain,
( and(f2,and(f1,f2)) != and(f2,f1)
| and(f2,not(b3)) = and(f2,f1) ),
inference(resolve,[$cnf( $equal(and(f1,f2),not(b3)) )],[refute_0_595,refute_0_1931]) ).
cnf(refute_0_1933,plain,
and(f2,not(b3)) = and(f2,f1),
inference(resolve,[$cnf( $equal(and(f2,and(f1,f2)),and(f2,f1)) )],[refute_0_1930,refute_0_1932]) ).
cnf(refute_0_1934,plain,
( and(f2,f1) != not(b3)
| and(f2,not(b3)) != and(f2,f1)
| and(f2,not(b3)) = not(b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(f2,not(b3)),and(f2,f1)) ),[1],$fot(not(b3))]]) ).
cnf(refute_0_1935,plain,
( and(f2,not(b3)) != and(f2,f1)
| and(f2,not(b3)) = not(b3) ),
inference(resolve,[$cnf( $equal(and(f2,f1),not(b3)) )],[refute_0_1421,refute_0_1934]) ).
cnf(refute_0_1936,plain,
and(f2,not(b3)) = not(b3),
inference(resolve,[$cnf( $equal(and(f2,not(b3)),and(f2,f1)) )],[refute_0_1933,refute_0_1935]) ).
cnf(refute_0_1937,plain,
( and(f2,not(b3)) != not(b3)
| or(and(b3,f2),and(f2,not(b3))) != f2
| or(and(b3,f2),not(b3)) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b3,f2),and(f2,not(b3))),f2) ),[0,1],$fot(not(b3))]]) ).
cnf(refute_0_1938,plain,
( or(and(b3,f2),and(f2,not(b3))) != f2
| or(and(b3,f2),not(b3)) = f2 ),
inference(resolve,[$cnf( $equal(and(f2,not(b3)),not(b3)) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
or(and(b3,f2),not(b3)) = f2,
inference(resolve,[$cnf( $equal(or(and(b3,f2),and(f2,not(b3))),f2) )],[refute_0_1929,refute_0_1938]) ).
cnf(refute_0_1940,plain,
or(and(b3,f2),not(b3)) = or(not(b3),and(b3,f2)),
inference(subst,[],[refute_0_37:[bind(X,$fot(not(b3))),bind(Y,$fot(and(b3,f2)))]]) ).
cnf(refute_0_1941,plain,
( or(and(b3,f2),not(b3)) != f2
| or(and(b3,f2),not(b3)) != or(not(b3),and(b3,f2))
| or(not(b3),and(b3,f2)) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b3,f2),not(b3)),f2) ),[0],$fot(or(not(b3),and(b3,f2)))]]) ).
cnf(refute_0_1942,plain,
( or(and(b3,f2),not(b3)) != f2
| or(not(b3),and(b3,f2)) = f2 ),
inference(resolve,[$cnf( $equal(or(and(b3,f2),not(b3)),or(not(b3),and(b3,f2))) )],[refute_0_1940,refute_0_1941]) ).
cnf(refute_0_1943,plain,
or(not(b3),and(b3,f2)) = f2,
inference(resolve,[$cnf( $equal(or(and(b3,f2),not(b3)),f2) )],[refute_0_1939,refute_0_1942]) ).
cnf(refute_0_1944,plain,
not(and(X,or(b1,i2))) = or(not(X),not(or(b1,i2))),
inference(subst,[],[not_canonicalization1:[bind(Y,$fot(or(b1,i2)))]]) ).
cnf(refute_0_1945,plain,
( not(and(X,or(b1,i2))) != or(not(X),not(or(b1,i2)))
| not(or(b1,i2)) != and(d1,f2)
| not(and(X,or(b1,i2))) = or(not(X),and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(b1,i2))),or(not(X),not(or(b1,i2)))) ),[1,1],$fot(and(d1,f2))]]) ).
cnf(refute_0_1946,plain,
( not(and(X,or(b1,i2))) != or(not(X),not(or(b1,i2)))
| not(and(X,or(b1,i2))) = or(not(X),and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,i2)),and(d1,f2)) )],[refute_0_722,refute_0_1945]) ).
cnf(refute_0_1947,plain,
not(and(X,or(b1,i2))) = or(not(X),and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(X,or(b1,i2))),or(not(X),not(or(b1,i2)))) )],[refute_0_1944,refute_0_1946]) ).
cnf(refute_0_1948,plain,
and(X,or(b1,i2)) = and(X,or(b1,i2)),
introduced(tautology,[refl,[$fot(and(X,or(b1,i2)))]]) ).
cnf(refute_0_1949,plain,
( and(X,or(b1,i2)) != and(X,or(b1,i2))
| or(b1,i2) != or(b1,c2)
| and(X,or(b1,i2)) = and(X,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(X,or(b1,i2)),and(X,or(b1,i2))) ),[1,1],$fot(or(b1,c2))]]) ).
cnf(refute_0_1950,plain,
( or(b1,i2) != or(b1,c2)
| and(X,or(b1,i2)) = and(X,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(X,or(b1,i2)),and(X,or(b1,i2))) )],[refute_0_1948,refute_0_1949]) ).
cnf(refute_0_1951,plain,
and(X,or(b1,i2)) = and(X,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(b1,i2),or(b1,c2)) )],[refute_0_772,refute_0_1950]) ).
cnf(refute_0_1952,plain,
not(and(X,or(b1,i2))) = not(and(X,or(b1,i2))),
introduced(tautology,[refl,[$fot(not(and(X,or(b1,i2))))]]) ).
cnf(refute_0_1953,plain,
( and(X,or(b1,i2)) != and(X,or(b1,c2))
| not(and(X,or(b1,i2))) != not(and(X,or(b1,i2)))
| not(and(X,or(b1,i2))) = not(and(X,or(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(b1,i2))),not(and(X,or(b1,i2)))) ),[1,0],$fot(and(X,or(b1,c2)))]]) ).
cnf(refute_0_1954,plain,
( and(X,or(b1,i2)) != and(X,or(b1,c2))
| not(and(X,or(b1,i2))) = not(and(X,or(b1,c2))) ),
inference(resolve,[$cnf( $equal(not(and(X,or(b1,i2))),not(and(X,or(b1,i2)))) )],[refute_0_1952,refute_0_1953]) ).
cnf(refute_0_1955,plain,
not(and(X,or(b1,i2))) = not(and(X,or(b1,c2))),
inference(resolve,[$cnf( $equal(and(X,or(b1,i2)),and(X,or(b1,c2))) )],[refute_0_1951,refute_0_1954]) ).
cnf(refute_0_1956,plain,
( not(and(X,or(b1,i2))) != not(and(X,or(b1,c2)))
| not(and(X,or(b1,i2))) != or(not(X),and(d1,f2))
| not(and(X,or(b1,c2))) = or(not(X),and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X,or(b1,i2))),or(not(X),and(d1,f2))) ),[0],$fot(not(and(X,or(b1,c2))))]]) ).
cnf(refute_0_1957,plain,
( not(and(X,or(b1,i2))) != or(not(X),and(d1,f2))
| not(and(X,or(b1,c2))) = or(not(X),and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(X,or(b1,i2))),not(and(X,or(b1,c2)))) )],[refute_0_1955,refute_0_1956]) ).
cnf(refute_0_1958,plain,
not(and(X,or(b1,c2))) = or(not(X),and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(X,or(b1,i2))),or(not(X),and(d1,f2))) )],[refute_0_1947,refute_0_1957]) ).
cnf(refute_0_1959,plain,
or(not(X),and(d1,f2)) = or(not(X),and(d1,f2)),
introduced(tautology,[refl,[$fot(or(not(X),and(d1,f2)))]]) ).
cnf(refute_0_1960,plain,
( and(d1,f2) != and(b3,f2)
| or(not(X),and(d1,f2)) != or(not(X),and(d1,f2))
| or(not(X),and(d1,f2)) = or(not(X),and(b3,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(not(X),and(d1,f2)),or(not(X),and(d1,f2))) ),[1,1],$fot(and(b3,f2))]]) ).
cnf(refute_0_1961,plain,
( and(d1,f2) != and(b3,f2)
| or(not(X),and(d1,f2)) = or(not(X),and(b3,f2)) ),
inference(resolve,[$cnf( $equal(or(not(X),and(d1,f2)),or(not(X),and(d1,f2))) )],[refute_0_1959,refute_0_1960]) ).
cnf(refute_0_1962,plain,
or(not(X),and(d1,f2)) = or(not(X),and(b3,f2)),
inference(resolve,[$cnf( $equal(and(d1,f2),and(b3,f2)) )],[refute_0_1561,refute_0_1961]) ).
cnf(refute_0_1963,plain,
( not(and(X,or(b1,c2))) != or(not(X),and(d1,f2))
| or(not(X),and(d1,f2)) != or(not(X),and(b3,f2))
| not(and(X,or(b1,c2))) = or(not(X),and(b3,f2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X,or(b1,c2))),or(not(X),and(b3,f2))) ),[0],$fot(or(not(X),and(d1,f2)))]]) ).
cnf(refute_0_1964,plain,
( not(and(X,or(b1,c2))) != or(not(X),and(d1,f2))
| not(and(X,or(b1,c2))) = or(not(X),and(b3,f2)) ),
inference(resolve,[$cnf( $equal(or(not(X),and(d1,f2)),or(not(X),and(b3,f2))) )],[refute_0_1962,refute_0_1963]) ).
cnf(refute_0_1965,plain,
not(and(X,or(b1,c2))) = or(not(X),and(b3,f2)),
inference(resolve,[$cnf( $equal(not(and(X,or(b1,c2))),or(not(X),and(d1,f2))) )],[refute_0_1958,refute_0_1964]) ).
cnf(refute_0_1966,plain,
( not(and(X,or(b1,c2))) != or(not(X),and(b3,f2))
| or(not(X),and(b3,f2)) = not(and(X,or(b1,c2))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X,or(b1,c2))))),bind(Y0,$fot(or(not(X),and(b3,f2))))]]) ).
cnf(refute_0_1967,plain,
or(not(X),and(b3,f2)) = not(and(X,or(b1,c2))),
inference(resolve,[$cnf( $equal(not(and(X,or(b1,c2))),or(not(X),and(b3,f2))) )],[refute_0_1965,refute_0_1966]) ).
cnf(refute_0_1968,plain,
or(not(b3),and(b3,f2)) = not(and(b3,or(b1,c2))),
inference(subst,[],[refute_0_1967:[bind(X,$fot(b3))]]) ).
cnf(refute_0_1969,plain,
( or(not(b3),and(b3,f2)) != f2
| or(not(b3),and(b3,f2)) != not(and(b3,or(b1,c2)))
| not(and(b3,or(b1,c2))) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(b3),and(b3,f2)),f2) ),[0],$fot(not(and(b3,or(b1,c2))))]]) ).
cnf(refute_0_1970,plain,
( or(not(b3),and(b3,f2)) != f2
| not(and(b3,or(b1,c2))) = f2 ),
inference(resolve,[$cnf( $equal(or(not(b3),and(b3,f2)),not(and(b3,or(b1,c2)))) )],[refute_0_1968,refute_0_1969]) ).
cnf(refute_0_1971,plain,
not(and(b3,or(b1,c2))) = f2,
inference(resolve,[$cnf( $equal(or(not(b3),and(b3,f2)),f2) )],[refute_0_1943,refute_0_1970]) ).
cnf(refute_0_1972,plain,
( not(and(and(b3,or(b1,c2)),d1)) != or(b1,not(and(b3,or(b1,c2))))
| not(and(b3,or(b1,c2))) != f2
| not(and(and(b3,or(b1,c2)),d1)) = or(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b3,or(b1,c2)),d1)),or(b1,not(and(b3,or(b1,c2))))) ),[1,1],$fot(f2)]]) ).
cnf(refute_0_1973,plain,
( not(and(and(b3,or(b1,c2)),d1)) != or(b1,not(and(b3,or(b1,c2))))
| not(and(and(b3,or(b1,c2)),d1)) = or(b1,f2) ),
inference(resolve,[$cnf( $equal(not(and(b3,or(b1,c2))),f2) )],[refute_0_1971,refute_0_1972]) ).
cnf(refute_0_1974,plain,
not(and(and(b3,or(b1,c2)),d1)) = or(b1,f2),
inference(resolve,[$cnf( $equal(not(and(and(b3,or(b1,c2)),d1)),or(b1,not(and(b3,or(b1,c2))))) )],[refute_0_1928,refute_0_1973]) ).
cnf(refute_0_1975,plain,
not(and(or(b1,i2),d1)) = or(b1,not(or(b1,i2))),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(or(b1,i2)))]]) ).
cnf(refute_0_1976,plain,
( not(and(or(b1,i2),d1)) != or(b1,not(or(b1,i2)))
| not(or(b1,i2)) != and(d1,f2)
| not(and(or(b1,i2),d1)) = or(b1,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,i2),d1)),or(b1,not(or(b1,i2)))) ),[1,1],$fot(and(d1,f2))]]) ).
cnf(refute_0_1977,plain,
( not(and(or(b1,i2),d1)) != or(b1,not(or(b1,i2)))
| not(and(or(b1,i2),d1)) = or(b1,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,i2)),and(d1,f2)) )],[refute_0_722,refute_0_1976]) ).
cnf(refute_0_1978,plain,
not(and(or(b1,i2),d1)) = or(b1,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),d1)),or(b1,not(or(b1,i2)))) )],[refute_0_1975,refute_0_1977]) ).
cnf(refute_0_1979,plain,
not(and(or(b1,i2),d1)) = not(and(d1,or(b1,i2))),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(or(b1,i2)))]]) ).
cnf(refute_0_1980,plain,
( not(and(or(b1,i2),d1)) != not(and(d1,or(b1,i2)))
| not(and(or(b1,i2),d1)) != or(b1,and(d1,f2))
| not(and(d1,or(b1,i2))) = or(b1,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,i2),d1)),or(b1,and(d1,f2))) ),[0],$fot(not(and(d1,or(b1,i2))))]]) ).
cnf(refute_0_1981,plain,
( not(and(or(b1,i2),d1)) != or(b1,and(d1,f2))
| not(and(d1,or(b1,i2))) = or(b1,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),d1)),not(and(d1,or(b1,i2)))) )],[refute_0_1979,refute_0_1980]) ).
cnf(refute_0_1982,plain,
not(and(d1,or(b1,i2))) = or(b1,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,i2),d1)),or(b1,and(d1,f2))) )],[refute_0_1978,refute_0_1981]) ).
cnf(refute_0_1983,plain,
and(d1,or(b1,i2)) = and(d1,or(b1,i2)),
introduced(tautology,[refl,[$fot(and(d1,or(b1,i2)))]]) ).
cnf(refute_0_1984,plain,
( and(d1,or(b1,i2)) != and(d1,or(b1,i2))
| or(b1,i2) != or(b1,c2)
| and(d1,or(b1,i2)) = and(d1,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,or(b1,i2)),and(d1,or(b1,i2))) ),[1,1],$fot(or(b1,c2))]]) ).
cnf(refute_0_1985,plain,
( or(b1,i2) != or(b1,c2)
| and(d1,or(b1,i2)) = and(d1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(d1,or(b1,i2)),and(d1,or(b1,i2))) )],[refute_0_1983,refute_0_1984]) ).
cnf(refute_0_1986,plain,
and(d1,or(b1,i2)) = and(d1,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(b1,i2),or(b1,c2)) )],[refute_0_772,refute_0_1985]) ).
cnf(refute_0_1987,plain,
not(and(d1,or(b1,i2))) = not(and(d1,or(b1,i2))),
introduced(tautology,[refl,[$fot(not(and(d1,or(b1,i2))))]]) ).
cnf(refute_0_1988,plain,
( and(d1,or(b1,i2)) != and(d1,or(b1,c2))
| not(and(d1,or(b1,i2))) != not(and(d1,or(b1,i2)))
| not(and(d1,or(b1,i2))) = not(and(d1,or(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,or(b1,i2))),not(and(d1,or(b1,i2)))) ),[1,0],$fot(and(d1,or(b1,c2)))]]) ).
cnf(refute_0_1989,plain,
( and(d1,or(b1,i2)) != and(d1,or(b1,c2))
| not(and(d1,or(b1,i2))) = not(and(d1,or(b1,c2))) ),
inference(resolve,[$cnf( $equal(not(and(d1,or(b1,i2))),not(and(d1,or(b1,i2)))) )],[refute_0_1987,refute_0_1988]) ).
cnf(refute_0_1990,plain,
not(and(d1,or(b1,i2))) = not(and(d1,or(b1,c2))),
inference(resolve,[$cnf( $equal(and(d1,or(b1,i2)),and(d1,or(b1,c2))) )],[refute_0_1986,refute_0_1989]) ).
cnf(refute_0_1991,plain,
( not(and(d1,or(b1,i2))) != not(and(d1,or(b1,c2)))
| not(and(d1,or(b1,i2))) != or(b1,and(d1,f2))
| not(and(d1,or(b1,c2))) = or(b1,and(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,or(b1,i2))),or(b1,and(d1,f2))) ),[0],$fot(not(and(d1,or(b1,c2))))]]) ).
cnf(refute_0_1992,plain,
( not(and(d1,or(b1,i2))) != or(b1,and(d1,f2))
| not(and(d1,or(b1,c2))) = or(b1,and(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(d1,or(b1,i2))),not(and(d1,or(b1,c2)))) )],[refute_0_1990,refute_0_1991]) ).
cnf(refute_0_1993,plain,
not(and(d1,or(b1,c2))) = or(b1,and(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(d1,or(b1,i2))),or(b1,and(d1,f2))) )],[refute_0_1982,refute_0_1992]) ).
cnf(refute_0_1994,plain,
or(b1,and(d1,f2)) = or(b1,and(d1,f2)),
introduced(tautology,[refl,[$fot(or(b1,and(d1,f2)))]]) ).
cnf(refute_0_1995,plain,
( and(d1,f2) != and(b3,f2)
| or(b1,and(d1,f2)) != or(b1,and(d1,f2))
| or(b1,and(d1,f2)) = or(b1,and(b3,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(b1,and(d1,f2)),or(b1,and(d1,f2))) ),[1,1],$fot(and(b3,f2))]]) ).
cnf(refute_0_1996,plain,
( and(d1,f2) != and(b3,f2)
| or(b1,and(d1,f2)) = or(b1,and(b3,f2)) ),
inference(resolve,[$cnf( $equal(or(b1,and(d1,f2)),or(b1,and(d1,f2))) )],[refute_0_1994,refute_0_1995]) ).
cnf(refute_0_1997,plain,
or(b1,and(d1,f2)) = or(b1,and(b3,f2)),
inference(resolve,[$cnf( $equal(and(d1,f2),and(b3,f2)) )],[refute_0_1561,refute_0_1996]) ).
cnf(refute_0_1998,plain,
( not(and(d1,or(b1,c2))) != or(b1,and(d1,f2))
| or(b1,and(d1,f2)) != or(b1,and(b3,f2))
| not(and(d1,or(b1,c2))) = or(b1,and(b3,f2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d1,or(b1,c2))),or(b1,and(b3,f2))) ),[0],$fot(or(b1,and(d1,f2)))]]) ).
cnf(refute_0_1999,plain,
( not(and(d1,or(b1,c2))) != or(b1,and(d1,f2))
| not(and(d1,or(b1,c2))) = or(b1,and(b3,f2)) ),
inference(resolve,[$cnf( $equal(or(b1,and(d1,f2)),or(b1,and(b3,f2))) )],[refute_0_1997,refute_0_1998]) ).
cnf(refute_0_2000,plain,
not(and(d1,or(b1,c2))) = or(b1,and(b3,f2)),
inference(resolve,[$cnf( $equal(not(and(d1,or(b1,c2))),or(b1,and(d1,f2))) )],[refute_0_1993,refute_0_1999]) ).
cnf(refute_0_2001,plain,
not(and(or(b1,c2),d1)) = not(and(d1,or(b1,c2))),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(or(b1,c2)))]]) ).
cnf(refute_0_2002,plain,
( not(and(d1,or(b1,c2))) != or(b1,and(b3,f2))
| not(and(or(b1,c2),d1)) != not(and(d1,or(b1,c2)))
| not(and(or(b1,c2),d1)) = or(b1,and(b3,f2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(or(b1,c2),d1)))),bind(Y0,$fot(not(and(d1,or(b1,c2))))),bind(Z0,$fot(or(b1,and(b3,f2))))]]) ).
cnf(refute_0_2003,plain,
( not(and(d1,or(b1,c2))) != or(b1,and(b3,f2))
| not(and(or(b1,c2),d1)) = or(b1,and(b3,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,c2),d1)),not(and(d1,or(b1,c2)))) )],[refute_0_2001,refute_0_2002]) ).
cnf(refute_0_2004,plain,
not(and(or(b1,c2),d1)) = or(b1,and(b3,f2)),
inference(resolve,[$cnf( $equal(not(and(d1,or(b1,c2))),or(b1,and(b3,f2))) )],[refute_0_2000,refute_0_2003]) ).
cnf(refute_0_2005,plain,
not(and(and(d1,or(d1,i2)),Y)) = or(not(and(d1,or(d1,i2))),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(and(d1,or(d1,i2))))]]) ).
cnf(refute_0_2006,plain,
not(and(or(d1,i2),d1)) = or(b1,not(or(d1,i2))),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(or(d1,i2)))]]) ).
cnf(refute_0_2007,plain,
( not(and(or(d1,i2),d1)) != or(b1,not(or(d1,i2)))
| not(or(d1,i2)) != and(b1,f2)
| not(and(or(d1,i2),d1)) = or(b1,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(d1,i2),d1)),or(b1,not(or(d1,i2)))) ),[1,1],$fot(and(b1,f2))]]) ).
cnf(refute_0_2008,plain,
( not(and(or(d1,i2),d1)) != or(b1,not(or(d1,i2)))
| not(and(or(d1,i2),d1)) = or(b1,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(d1,i2)),and(b1,f2)) )],[refute_0_1499,refute_0_2007]) ).
cnf(refute_0_2009,plain,
not(and(or(d1,i2),d1)) = or(b1,and(b1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(d1,i2),d1)),or(b1,not(or(d1,i2)))) )],[refute_0_2006,refute_0_2008]) ).
cnf(refute_0_2010,plain,
not(and(or(d1,i2),d1)) = not(and(d1,or(d1,i2))),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(or(d1,i2)))]]) ).
cnf(refute_0_2011,plain,
( not(and(or(d1,i2),d1)) != not(and(d1,or(d1,i2)))
| not(and(or(d1,i2),d1)) != or(b1,and(b1,f2))
| not(and(d1,or(d1,i2))) = or(b1,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(d1,i2),d1)),or(b1,and(b1,f2))) ),[0],$fot(not(and(d1,or(d1,i2))))]]) ).
cnf(refute_0_2012,plain,
( not(and(or(d1,i2),d1)) != or(b1,and(b1,f2))
| not(and(d1,or(d1,i2))) = or(b1,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(d1,i2),d1)),not(and(d1,or(d1,i2)))) )],[refute_0_2010,refute_0_2011]) ).
cnf(refute_0_2013,plain,
or(b1,and(b1,f2)) = b1,
inference(subst,[],[refute_0_908:[bind(X_14,$fot(b1))]]) ).
cnf(refute_0_2014,plain,
( not(and(d1,or(d1,i2))) != or(b1,and(b1,f2))
| or(b1,and(b1,f2)) != b1
| not(and(d1,or(d1,i2))) = b1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d1,or(d1,i2))),b1) ),[0],$fot(or(b1,and(b1,f2)))]]) ).
cnf(refute_0_2015,plain,
( not(and(d1,or(d1,i2))) != or(b1,and(b1,f2))
| not(and(d1,or(d1,i2))) = b1 ),
inference(resolve,[$cnf( $equal(or(b1,and(b1,f2)),b1) )],[refute_0_2013,refute_0_2014]) ).
cnf(refute_0_2016,plain,
( not(and(or(d1,i2),d1)) != or(b1,and(b1,f2))
| not(and(d1,or(d1,i2))) = b1 ),
inference(resolve,[$cnf( $equal(not(and(d1,or(d1,i2))),or(b1,and(b1,f2))) )],[refute_0_2012,refute_0_2015]) ).
cnf(refute_0_2017,plain,
not(and(d1,or(d1,i2))) = b1,
inference(resolve,[$cnf( $equal(not(and(or(d1,i2),d1)),or(b1,and(b1,f2))) )],[refute_0_2009,refute_0_2016]) ).
cnf(refute_0_2018,plain,
( not(and(and(d1,or(d1,i2)),Y)) != or(not(and(d1,or(d1,i2))),not(Y))
| not(and(d1,or(d1,i2))) != b1
| not(and(and(d1,or(d1,i2)),Y)) = or(b1,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d1,or(d1,i2)),Y)),or(not(and(d1,or(d1,i2))),not(Y))) ),[1,0],$fot(b1)]]) ).
cnf(refute_0_2019,plain,
( not(and(and(d1,or(d1,i2)),Y)) != or(not(and(d1,or(d1,i2))),not(Y))
| not(and(and(d1,or(d1,i2)),Y)) = or(b1,not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(d1,or(d1,i2))),b1) )],[refute_0_2017,refute_0_2018]) ).
cnf(refute_0_2020,plain,
not(and(and(d1,or(d1,i2)),Y)) = or(b1,not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(d1,or(d1,i2)),Y)),or(not(and(d1,or(d1,i2))),not(Y))) )],[refute_0_2005,refute_0_2019]) ).
cnf(refute_0_2021,plain,
and(and(d1,or(d1,i2)),Y) = and(d1,and(or(d1,i2),Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(d1)),bind(Y,$fot(or(d1,i2))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2022,plain,
not(and(and(d1,or(d1,i2)),Y)) = not(and(and(d1,or(d1,i2)),Y)),
introduced(tautology,[refl,[$fot(not(and(and(d1,or(d1,i2)),Y)))]]) ).
cnf(refute_0_2023,plain,
( and(and(d1,or(d1,i2)),Y) != and(d1,and(or(d1,i2),Y))
| not(and(and(d1,or(d1,i2)),Y)) != not(and(and(d1,or(d1,i2)),Y))
| not(and(and(d1,or(d1,i2)),Y)) = not(and(d1,and(or(d1,i2),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d1,or(d1,i2)),Y)),not(and(and(d1,or(d1,i2)),Y))) ),[1,0],$fot(and(d1,and(or(d1,i2),Y)))]]) ).
cnf(refute_0_2024,plain,
( and(and(d1,or(d1,i2)),Y) != and(d1,and(or(d1,i2),Y))
| not(and(and(d1,or(d1,i2)),Y)) = not(and(d1,and(or(d1,i2),Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(d1,or(d1,i2)),Y)),not(and(and(d1,or(d1,i2)),Y))) )],[refute_0_2022,refute_0_2023]) ).
cnf(refute_0_2025,plain,
not(and(and(d1,or(d1,i2)),Y)) = not(and(d1,and(or(d1,i2),Y))),
inference(resolve,[$cnf( $equal(and(and(d1,or(d1,i2)),Y),and(d1,and(or(d1,i2),Y))) )],[refute_0_2021,refute_0_2024]) ).
cnf(refute_0_2026,plain,
( not(and(and(d1,or(d1,i2)),Y)) != not(and(d1,and(or(d1,i2),Y)))
| not(and(and(d1,or(d1,i2)),Y)) != or(b1,not(Y))
| not(and(d1,and(or(d1,i2),Y))) = or(b1,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d1,or(d1,i2)),Y)),or(b1,not(Y))) ),[0],$fot(not(and(d1,and(or(d1,i2),Y))))]]) ).
cnf(refute_0_2027,plain,
( not(and(and(d1,or(d1,i2)),Y)) != or(b1,not(Y))
| not(and(d1,and(or(d1,i2),Y))) = or(b1,not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(d1,or(d1,i2)),Y)),not(and(d1,and(or(d1,i2),Y)))) )],[refute_0_2025,refute_0_2026]) ).
cnf(refute_0_2028,plain,
or(b1,not(Y)) = not(and(Y,d1)),
inference(subst,[],[refute_0_54:[bind(X_109,$fot(Y))]]) ).
cnf(refute_0_2029,plain,
( not(and(d1,and(or(d1,i2),Y))) != or(b1,not(Y))
| or(b1,not(Y)) != not(and(Y,d1))
| not(and(d1,and(or(d1,i2),Y))) = not(and(Y,d1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d1,and(or(d1,i2),Y))),not(and(Y,d1))) ),[0],$fot(or(b1,not(Y)))]]) ).
cnf(refute_0_2030,plain,
( not(and(d1,and(or(d1,i2),Y))) != or(b1,not(Y))
| not(and(d1,and(or(d1,i2),Y))) = not(and(Y,d1)) ),
inference(resolve,[$cnf( $equal(or(b1,not(Y)),not(and(Y,d1))) )],[refute_0_2028,refute_0_2029]) ).
cnf(refute_0_2031,plain,
( not(and(and(d1,or(d1,i2)),Y)) != or(b1,not(Y))
| not(and(d1,and(or(d1,i2),Y))) = not(and(Y,d1)) ),
inference(resolve,[$cnf( $equal(not(and(d1,and(or(d1,i2),Y))),or(b1,not(Y))) )],[refute_0_2027,refute_0_2030]) ).
cnf(refute_0_2032,plain,
not(and(d1,and(or(d1,i2),Y))) = not(and(Y,d1)),
inference(resolve,[$cnf( $equal(not(and(and(d1,or(d1,i2)),Y)),or(b1,not(Y))) )],[refute_0_2020,refute_0_2031]) ).
cnf(refute_0_2033,plain,
and(or(d1,i2),Y) = and(or(d1,i2),Y),
introduced(tautology,[refl,[$fot(and(or(d1,i2),Y))]]) ).
cnf(refute_0_2034,plain,
( and(or(d1,i2),Y) != and(or(d1,i2),Y)
| or(d1,i2) != or(c2,d1)
| and(or(d1,i2),Y) = and(or(c2,d1),Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(d1,i2),Y),and(or(d1,i2),Y)) ),[1,0],$fot(or(c2,d1))]]) ).
cnf(refute_0_2035,plain,
( or(d1,i2) != or(c2,d1)
| and(or(d1,i2),Y) = and(or(c2,d1),Y) ),
inference(resolve,[$cnf( $equal(and(or(d1,i2),Y),and(or(d1,i2),Y)) )],[refute_0_2033,refute_0_2034]) ).
cnf(refute_0_2036,plain,
and(or(d1,i2),Y) = and(or(c2,d1),Y),
inference(resolve,[$cnf( $equal(or(d1,i2),or(c2,d1)) )],[refute_0_1274,refute_0_2035]) ).
cnf(refute_0_2037,plain,
and(d1,and(or(d1,i2),Y)) = and(d1,and(or(d1,i2),Y)),
introduced(tautology,[refl,[$fot(and(d1,and(or(d1,i2),Y)))]]) ).
cnf(refute_0_2038,plain,
( and(d1,and(or(d1,i2),Y)) != and(d1,and(or(d1,i2),Y))
| and(or(d1,i2),Y) != and(or(c2,d1),Y)
| and(d1,and(or(d1,i2),Y)) = and(d1,and(or(c2,d1),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(or(d1,i2),Y)),and(d1,and(or(d1,i2),Y))) ),[1,1],$fot(and(or(c2,d1),Y))]]) ).
cnf(refute_0_2039,plain,
( and(or(d1,i2),Y) != and(or(c2,d1),Y)
| and(d1,and(or(d1,i2),Y)) = and(d1,and(or(c2,d1),Y)) ),
inference(resolve,[$cnf( $equal(and(d1,and(or(d1,i2),Y)),and(d1,and(or(d1,i2),Y))) )],[refute_0_2037,refute_0_2038]) ).
cnf(refute_0_2040,plain,
and(d1,and(or(d1,i2),Y)) = and(d1,and(or(c2,d1),Y)),
inference(resolve,[$cnf( $equal(and(or(d1,i2),Y),and(or(c2,d1),Y)) )],[refute_0_2036,refute_0_2039]) ).
cnf(refute_0_2041,plain,
not(and(d1,and(or(d1,i2),Y))) = not(and(d1,and(or(d1,i2),Y))),
introduced(tautology,[refl,[$fot(not(and(d1,and(or(d1,i2),Y))))]]) ).
cnf(refute_0_2042,plain,
( and(d1,and(or(d1,i2),Y)) != and(d1,and(or(c2,d1),Y))
| not(and(d1,and(or(d1,i2),Y))) != not(and(d1,and(or(d1,i2),Y)))
| not(and(d1,and(or(d1,i2),Y))) = not(and(d1,and(or(c2,d1),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,and(or(d1,i2),Y))),not(and(d1,and(or(d1,i2),Y)))) ),[1,0],$fot(and(d1,and(or(c2,d1),Y)))]]) ).
cnf(refute_0_2043,plain,
( and(d1,and(or(d1,i2),Y)) != and(d1,and(or(c2,d1),Y))
| not(and(d1,and(or(d1,i2),Y))) = not(and(d1,and(or(c2,d1),Y))) ),
inference(resolve,[$cnf( $equal(not(and(d1,and(or(d1,i2),Y))),not(and(d1,and(or(d1,i2),Y)))) )],[refute_0_2041,refute_0_2042]) ).
cnf(refute_0_2044,plain,
not(and(d1,and(or(d1,i2),Y))) = not(and(d1,and(or(c2,d1),Y))),
inference(resolve,[$cnf( $equal(and(d1,and(or(d1,i2),Y)),and(d1,and(or(c2,d1),Y))) )],[refute_0_2040,refute_0_2043]) ).
cnf(refute_0_2045,plain,
( not(and(d1,and(or(d1,i2),Y))) != not(and(Y,d1))
| not(and(d1,and(or(d1,i2),Y))) != not(and(d1,and(or(c2,d1),Y)))
| not(and(d1,and(or(c2,d1),Y))) = not(and(Y,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,and(or(d1,i2),Y))),not(and(Y,d1))) ),[0],$fot(not(and(d1,and(or(c2,d1),Y))))]]) ).
cnf(refute_0_2046,plain,
( not(and(d1,and(or(d1,i2),Y))) != not(and(Y,d1))
| not(and(d1,and(or(c2,d1),Y))) = not(and(Y,d1)) ),
inference(resolve,[$cnf( $equal(not(and(d1,and(or(d1,i2),Y))),not(and(d1,and(or(c2,d1),Y)))) )],[refute_0_2044,refute_0_2045]) ).
cnf(refute_0_2047,plain,
not(and(d1,and(or(c2,d1),Y))) = not(and(Y,d1)),
inference(resolve,[$cnf( $equal(not(and(d1,and(or(d1,i2),Y))),not(and(Y,d1))) )],[refute_0_2032,refute_0_2046]) ).
cnf(refute_0_2048,plain,
and(or(c2,d1),Y) = and(or(c2,d1),Y),
introduced(tautology,[refl,[$fot(and(or(c2,d1),Y))]]) ).
cnf(refute_0_2049,plain,
( and(or(c2,d1),Y) != and(or(c2,d1),Y)
| or(c2,d1) != b3
| and(or(c2,d1),Y) = and(b3,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(c2,d1),Y),and(or(c2,d1),Y)) ),[1,0],$fot(b3)]]) ).
cnf(refute_0_2050,plain,
( or(c2,d1) != b3
| and(or(c2,d1),Y) = and(b3,Y) ),
inference(resolve,[$cnf( $equal(and(or(c2,d1),Y),and(or(c2,d1),Y)) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
and(or(c2,d1),Y) = and(b3,Y),
inference(resolve,[$cnf( $equal(or(c2,d1),b3) )],[refute_0_1551,refute_0_2050]) ).
cnf(refute_0_2052,plain,
and(d1,and(or(c2,d1),Y)) = and(d1,and(or(c2,d1),Y)),
introduced(tautology,[refl,[$fot(and(d1,and(or(c2,d1),Y)))]]) ).
cnf(refute_0_2053,plain,
( and(d1,and(or(c2,d1),Y)) != and(d1,and(or(c2,d1),Y))
| and(or(c2,d1),Y) != and(b3,Y)
| and(d1,and(or(c2,d1),Y)) = and(d1,and(b3,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(or(c2,d1),Y)),and(d1,and(or(c2,d1),Y))) ),[1,1],$fot(and(b3,Y))]]) ).
cnf(refute_0_2054,plain,
( and(or(c2,d1),Y) != and(b3,Y)
| and(d1,and(or(c2,d1),Y)) = and(d1,and(b3,Y)) ),
inference(resolve,[$cnf( $equal(and(d1,and(or(c2,d1),Y)),and(d1,and(or(c2,d1),Y))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
and(d1,and(or(c2,d1),Y)) = and(d1,and(b3,Y)),
inference(resolve,[$cnf( $equal(and(or(c2,d1),Y),and(b3,Y)) )],[refute_0_2051,refute_0_2054]) ).
cnf(refute_0_2056,plain,
not(and(d1,and(or(c2,d1),Y))) = not(and(d1,and(or(c2,d1),Y))),
introduced(tautology,[refl,[$fot(not(and(d1,and(or(c2,d1),Y))))]]) ).
cnf(refute_0_2057,plain,
( and(d1,and(or(c2,d1),Y)) != and(d1,and(b3,Y))
| not(and(d1,and(or(c2,d1),Y))) != not(and(d1,and(or(c2,d1),Y)))
| not(and(d1,and(or(c2,d1),Y))) = not(and(d1,and(b3,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,and(or(c2,d1),Y))),not(and(d1,and(or(c2,d1),Y)))) ),[1,0],$fot(and(d1,and(b3,Y)))]]) ).
cnf(refute_0_2058,plain,
( and(d1,and(or(c2,d1),Y)) != and(d1,and(b3,Y))
| not(and(d1,and(or(c2,d1),Y))) = not(and(d1,and(b3,Y))) ),
inference(resolve,[$cnf( $equal(not(and(d1,and(or(c2,d1),Y))),not(and(d1,and(or(c2,d1),Y)))) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
not(and(d1,and(or(c2,d1),Y))) = not(and(d1,and(b3,Y))),
inference(resolve,[$cnf( $equal(and(d1,and(or(c2,d1),Y)),and(d1,and(b3,Y))) )],[refute_0_2055,refute_0_2058]) ).
cnf(refute_0_2060,plain,
( not(and(d1,and(or(c2,d1),Y))) != not(and(Y,d1))
| not(and(d1,and(or(c2,d1),Y))) != not(and(d1,and(b3,Y)))
| not(and(d1,and(b3,Y))) = not(and(Y,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,and(or(c2,d1),Y))),not(and(Y,d1))) ),[0],$fot(not(and(d1,and(b3,Y))))]]) ).
cnf(refute_0_2061,plain,
( not(and(d1,and(or(c2,d1),Y))) != not(and(Y,d1))
| not(and(d1,and(b3,Y))) = not(and(Y,d1)) ),
inference(resolve,[$cnf( $equal(not(and(d1,and(or(c2,d1),Y))),not(and(d1,and(b3,Y)))) )],[refute_0_2059,refute_0_2060]) ).
cnf(refute_0_2062,plain,
not(and(d1,and(b3,Y))) = not(and(Y,d1)),
inference(resolve,[$cnf( $equal(not(and(d1,and(or(c2,d1),Y))),not(and(Y,d1))) )],[refute_0_2047,refute_0_2061]) ).
cnf(refute_0_2063,plain,
not(and(d1,and(b3,or(b1,c2)))) = not(and(or(b1,c2),d1)),
inference(subst,[],[refute_0_2062:[bind(Y,$fot(or(b1,c2)))]]) ).
cnf(refute_0_2064,plain,
( not(and(d1,and(b3,or(b1,c2)))) != not(and(or(b1,c2),d1))
| not(and(or(b1,c2),d1)) != or(b1,and(b3,f2))
| not(and(d1,and(b3,or(b1,c2)))) = or(b1,and(b3,f2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(d1,and(b3,or(b1,c2)))))),bind(Y0,$fot(not(and(or(b1,c2),d1)))),bind(Z0,$fot(or(b1,and(b3,f2))))]]) ).
cnf(refute_0_2065,plain,
( not(and(or(b1,c2),d1)) != or(b1,and(b3,f2))
| not(and(d1,and(b3,or(b1,c2)))) = or(b1,and(b3,f2)) ),
inference(resolve,[$cnf( $equal(not(and(d1,and(b3,or(b1,c2)))),not(and(or(b1,c2),d1))) )],[refute_0_2063,refute_0_2064]) ).
cnf(refute_0_2066,plain,
not(and(d1,and(b3,or(b1,c2)))) = or(b1,and(b3,f2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,c2),d1)),or(b1,and(b3,f2))) )],[refute_0_2004,refute_0_2065]) ).
cnf(refute_0_2067,plain,
not(and(and(b3,or(b1,c2)),d1)) = not(and(d1,and(b3,or(b1,c2)))),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(and(b3,or(b1,c2))))]]) ).
cnf(refute_0_2068,plain,
( not(and(and(b3,or(b1,c2)),d1)) != not(and(d1,and(b3,or(b1,c2))))
| not(and(d1,and(b3,or(b1,c2)))) != or(b1,and(b3,f2))
| not(and(and(b3,or(b1,c2)),d1)) = or(b1,and(b3,f2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(b3,or(b1,c2)),d1)))),bind(Y0,$fot(not(and(d1,and(b3,or(b1,c2)))))),bind(Z0,$fot(or(b1,and(b3,f2))))]]) ).
cnf(refute_0_2069,plain,
( not(and(d1,and(b3,or(b1,c2)))) != or(b1,and(b3,f2))
| not(and(and(b3,or(b1,c2)),d1)) = or(b1,and(b3,f2)) ),
inference(resolve,[$cnf( $equal(not(and(and(b3,or(b1,c2)),d1)),not(and(d1,and(b3,or(b1,c2))))) )],[refute_0_2067,refute_0_2068]) ).
cnf(refute_0_2070,plain,
not(and(and(b3,or(b1,c2)),d1)) = or(b1,and(b3,f2)),
inference(resolve,[$cnf( $equal(not(and(d1,and(b3,or(b1,c2)))),or(b1,and(b3,f2))) )],[refute_0_2066,refute_0_2069]) ).
cnf(refute_0_2071,plain,
( not(and(and(b3,or(b1,c2)),d1)) != or(b1,and(b3,f2))
| not(and(and(b3,or(b1,c2)),d1)) != or(b1,f2)
| or(b1,and(b3,f2)) = or(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b3,or(b1,c2)),d1)),or(b1,f2)) ),[0],$fot(or(b1,and(b3,f2)))]]) ).
cnf(refute_0_2072,plain,
( not(and(and(b3,or(b1,c2)),d1)) != or(b1,f2)
| or(b1,and(b3,f2)) = or(b1,f2) ),
inference(resolve,[$cnf( $equal(not(and(and(b3,or(b1,c2)),d1)),or(b1,and(b3,f2))) )],[refute_0_2070,refute_0_2071]) ).
cnf(refute_0_2073,plain,
or(b1,and(b3,f2)) = or(b1,f2),
inference(resolve,[$cnf( $equal(not(and(and(b3,or(b1,c2)),d1)),or(b1,f2)) )],[refute_0_1974,refute_0_2072]) ).
cnf(refute_0_2074,plain,
or(and(b3,f2),b1) = or(b1,and(b3,f2)),
inference(subst,[],[refute_0_37:[bind(X,$fot(b1)),bind(Y,$fot(and(b3,f2)))]]) ).
cnf(refute_0_2075,plain,
( or(and(b3,f2),b1) != or(b1,and(b3,f2))
| or(b1,and(b3,f2)) != or(b1,f2)
| or(and(b3,f2),b1) = or(b1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(b3,f2),b1))),bind(Y0,$fot(or(b1,and(b3,f2)))),bind(Z0,$fot(or(b1,f2)))]]) ).
cnf(refute_0_2076,plain,
( or(b1,and(b3,f2)) != or(b1,f2)
| or(and(b3,f2),b1) = or(b1,f2) ),
inference(resolve,[$cnf( $equal(or(and(b3,f2),b1),or(b1,and(b3,f2))) )],[refute_0_2074,refute_0_2075]) ).
cnf(refute_0_2077,plain,
or(and(b3,f2),b1) = or(b1,f2),
inference(resolve,[$cnf( $equal(or(b1,and(b3,f2)),or(b1,f2)) )],[refute_0_2073,refute_0_2076]) ).
cnf(refute_0_2078,plain,
( or(d3,f1) != b1
| or(f1,d3) != or(d3,f1)
| or(f1,d3) = b1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,d3))),bind(Y0,$fot(or(d3,f1))),bind(Z0,$fot(b1))]]) ).
cnf(refute_0_2079,plain,
( or(d3,f1) != b1
| or(f1,d3) = b1 ),
inference(resolve,[$cnf( $equal(or(f1,d3),or(d3,f1)) )],[refute_0_75,refute_0_2078]) ).
cnf(refute_0_2080,plain,
or(f1,d3) = b1,
inference(resolve,[$cnf( $equal(or(d3,f1),b1) )],[refute_0_105,refute_0_2079]) ).
cnf(refute_0_2081,plain,
or(and(f2,and(i1,or(f1,i2))),and(and(i1,or(f1,i2)),not(f2))) = and(i1,or(f1,i2)),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(f2)),bind(Y,$fot(and(i1,or(f1,i2))))]]) ).
cnf(refute_0_2082,plain,
and(and(f2,i1),not(and(f2,i1))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(f2,i1)))]]) ).
cnf(refute_0_2083,plain,
( and(and(f2,i1),not(and(f2,i1))) != n0
| not(and(f2,i1)) != or(f1,i2)
| and(and(f2,i1),or(f1,i2)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(f2,i1),not(and(f2,i1))),n0) ),[0,1],$fot(or(f1,i2))]]) ).
cnf(refute_0_2084,plain,
( and(and(f2,i1),not(and(f2,i1))) != n0
| and(and(f2,i1),or(f1,i2)) = n0 ),
inference(resolve,[$cnf( $equal(not(and(f2,i1)),or(f1,i2)) )],[refute_0_645,refute_0_2083]) ).
cnf(refute_0_2085,plain,
and(and(f2,i1),or(f1,i2)) = n0,
inference(resolve,[$cnf( $equal(and(and(f2,i1),not(and(f2,i1))),n0) )],[refute_0_2082,refute_0_2084]) ).
cnf(refute_0_2086,plain,
and(and(f2,i1),or(f1,i2)) = and(f2,and(i1,or(f1,i2))),
inference(subst,[],[refute_0_202:[bind(X,$fot(f2)),bind(Y,$fot(i1)),bind(Z,$fot(or(f1,i2)))]]) ).
cnf(refute_0_2087,plain,
( and(and(f2,i1),or(f1,i2)) != and(f2,and(i1,or(f1,i2)))
| and(and(f2,i1),or(f1,i2)) != n0
| and(f2,and(i1,or(f1,i2))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(f2,i1),or(f1,i2)),n0) ),[0],$fot(and(f2,and(i1,or(f1,i2))))]]) ).
cnf(refute_0_2088,plain,
( and(and(f2,i1),or(f1,i2)) != n0
| and(f2,and(i1,or(f1,i2))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(f2,i1),or(f1,i2)),and(f2,and(i1,or(f1,i2)))) )],[refute_0_2086,refute_0_2087]) ).
cnf(refute_0_2089,plain,
and(f2,and(i1,or(f1,i2))) = n0,
inference(resolve,[$cnf( $equal(and(and(f2,i1),or(f1,i2)),n0) )],[refute_0_2085,refute_0_2088]) ).
cnf(refute_0_2090,plain,
( and(f2,and(i1,or(f1,i2))) != n0
| or(and(f2,and(i1,or(f1,i2))),and(and(i1,or(f1,i2)),not(f2))) != and(i1,or(f1,i2))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,or(f1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f2,and(i1,or(f1,i2))),and(and(i1,or(f1,i2)),not(f2))),and(i1,or(f1,i2))) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_2091,plain,
( or(and(f2,and(i1,or(f1,i2))),and(and(i1,or(f1,i2)),not(f2))) != and(i1,or(f1,i2))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(and(f2,and(i1,or(f1,i2))),n0) )],[refute_0_2089,refute_0_2090]) ).
cnf(refute_0_2092,plain,
or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,or(f1,i2)),
inference(resolve,[$cnf( $equal(or(and(f2,and(i1,or(f1,i2))),and(and(i1,or(f1,i2)),not(f2))),and(i1,or(f1,i2))) )],[refute_0_2081,refute_0_2091]) ).
cnf(refute_0_2093,plain,
and(not(f2),or(f1,i2)) = and(not(f2),or(f1,i2)),
introduced(tautology,[refl,[$fot(and(not(f2),or(f1,i2)))]]) ).
cnf(refute_0_2094,plain,
( and(not(f2),or(f1,i2)) != and(not(f2),or(f1,i2))
| not(f2) != i2
| and(not(f2),or(f1,i2)) = and(i2,or(f1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(f2),or(f1,i2)),and(not(f2),or(f1,i2))) ),[1,0],$fot(i2)]]) ).
cnf(refute_0_2095,plain,
( not(f2) != i2
| and(not(f2),or(f1,i2)) = and(i2,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(and(not(f2),or(f1,i2)),and(not(f2),or(f1,i2))) )],[refute_0_2093,refute_0_2094]) ).
cnf(refute_0_2096,plain,
and(not(f2),or(f1,i2)) = and(i2,or(f1,i2)),
inference(resolve,[$cnf( $equal(not(f2),i2) )],[refute_0_442,refute_0_2095]) ).
cnf(refute_0_2097,plain,
and(i1,and(not(f2),or(f1,i2))) = and(i1,and(not(f2),or(f1,i2))),
introduced(tautology,[refl,[$fot(and(i1,and(not(f2),or(f1,i2))))]]) ).
cnf(refute_0_2098,plain,
( and(i1,and(not(f2),or(f1,i2))) != and(i1,and(not(f2),or(f1,i2)))
| and(not(f2),or(f1,i2)) != and(i2,or(f1,i2))
| and(i1,and(not(f2),or(f1,i2))) = and(i1,and(i2,or(f1,i2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,and(not(f2),or(f1,i2))),and(i1,and(not(f2),or(f1,i2)))) ),[1,1],$fot(and(i2,or(f1,i2)))]]) ).
cnf(refute_0_2099,plain,
( and(not(f2),or(f1,i2)) != and(i2,or(f1,i2))
| and(i1,and(not(f2),or(f1,i2))) = and(i1,and(i2,or(f1,i2))) ),
inference(resolve,[$cnf( $equal(and(i1,and(not(f2),or(f1,i2))),and(i1,and(not(f2),or(f1,i2)))) )],[refute_0_2097,refute_0_2098]) ).
cnf(refute_0_2100,plain,
and(i1,and(not(f2),or(f1,i2))) = and(i1,and(i2,or(f1,i2))),
inference(resolve,[$cnf( $equal(and(not(f2),or(f1,i2)),and(i2,or(f1,i2))) )],[refute_0_2096,refute_0_2099]) ).
cnf(refute_0_2101,plain,
and(i1,and(or(f1,i2),not(f2))) = and(i1,and(not(f2),or(f1,i2))),
inference(subst,[],[refute_0_944:[bind(X,$fot(i1)),bind(Y,$fot(not(f2))),bind(Z,$fot(or(f1,i2)))]]) ).
cnf(refute_0_2102,plain,
and(and(i1,or(f1,i2)),not(f2)) = and(i1,and(or(f1,i2),not(f2))),
inference(subst,[],[refute_0_202:[bind(X,$fot(i1)),bind(Y,$fot(or(f1,i2))),bind(Z,$fot(not(f2)))]]) ).
cnf(refute_0_2103,plain,
( and(and(i1,or(f1,i2)),not(f2)) != and(i1,and(or(f1,i2),not(f2)))
| and(i1,and(or(f1,i2),not(f2))) != and(i1,and(not(f2),or(f1,i2)))
| and(and(i1,or(f1,i2)),not(f2)) = and(i1,and(not(f2),or(f1,i2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(i1,or(f1,i2)),not(f2)))),bind(Y0,$fot(and(i1,and(or(f1,i2),not(f2))))),bind(Z0,$fot(and(i1,and(not(f2),or(f1,i2)))))]]) ).
cnf(refute_0_2104,plain,
( and(i1,and(or(f1,i2),not(f2))) != and(i1,and(not(f2),or(f1,i2)))
| and(and(i1,or(f1,i2)),not(f2)) = and(i1,and(not(f2),or(f1,i2))) ),
inference(resolve,[$cnf( $equal(and(and(i1,or(f1,i2)),not(f2)),and(i1,and(or(f1,i2),not(f2)))) )],[refute_0_2102,refute_0_2103]) ).
cnf(refute_0_2105,plain,
and(and(i1,or(f1,i2)),not(f2)) = and(i1,and(not(f2),or(f1,i2))),
inference(resolve,[$cnf( $equal(and(i1,and(or(f1,i2),not(f2))),and(i1,and(not(f2),or(f1,i2)))) )],[refute_0_2101,refute_0_2104]) ).
cnf(refute_0_2106,plain,
or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(and(i1,or(f1,i2)),not(f2)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(i1,or(f1,i2)),not(f2))))]]) ).
cnf(refute_0_2107,plain,
( and(and(i1,or(f1,i2)),not(f2)) != and(i1,and(not(f2),or(f1,i2)))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) != and(and(i1,or(f1,i2)),not(f2))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,and(not(f2),or(f1,i2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(i1,or(f1,i2)),not(f2))))),bind(Y0,$fot(and(and(i1,or(f1,i2)),not(f2)))),bind(Z0,$fot(and(i1,and(not(f2),or(f1,i2)))))]]) ).
cnf(refute_0_2108,plain,
( and(and(i1,or(f1,i2)),not(f2)) != and(i1,and(not(f2),or(f1,i2)))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,and(not(f2),or(f1,i2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(i1,or(f1,i2)),not(f2))),and(and(i1,or(f1,i2)),not(f2))) )],[refute_0_2106,refute_0_2107]) ).
cnf(refute_0_2109,plain,
or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,and(not(f2),or(f1,i2))),
inference(resolve,[$cnf( $equal(and(and(i1,or(f1,i2)),not(f2)),and(i1,and(not(f2),or(f1,i2)))) )],[refute_0_2105,refute_0_2108]) ).
cnf(refute_0_2110,plain,
( and(i1,and(not(f2),or(f1,i2))) != and(i1,and(i2,or(f1,i2)))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) != and(i1,and(not(f2),or(f1,i2)))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,and(i2,or(f1,i2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(i1,or(f1,i2)),not(f2))))),bind(Y0,$fot(and(i1,and(not(f2),or(f1,i2))))),bind(Z0,$fot(and(i1,and(i2,or(f1,i2)))))]]) ).
cnf(refute_0_2111,plain,
( and(i1,and(not(f2),or(f1,i2))) != and(i1,and(i2,or(f1,i2)))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,and(i2,or(f1,i2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(i1,or(f1,i2)),not(f2))),and(i1,and(not(f2),or(f1,i2)))) )],[refute_0_2109,refute_0_2110]) ).
cnf(refute_0_2112,plain,
or(n0,and(and(i1,or(f1,i2)),not(f2))) = and(i1,and(i2,or(f1,i2))),
inference(resolve,[$cnf( $equal(and(i1,and(not(f2),or(f1,i2))),and(i1,and(i2,or(f1,i2)))) )],[refute_0_2100,refute_0_2111]) ).
cnf(refute_0_2113,plain,
( or(n0,and(and(i1,or(f1,i2)),not(f2))) != and(i1,and(i2,or(f1,i2)))
| or(n0,and(and(i1,or(f1,i2)),not(f2))) != and(i1,or(f1,i2))
| and(i1,and(i2,or(f1,i2))) = and(i1,or(f1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(i1,or(f1,i2)),not(f2))),and(i1,or(f1,i2))) ),[0],$fot(and(i1,and(i2,or(f1,i2))))]]) ).
cnf(refute_0_2114,plain,
( or(n0,and(and(i1,or(f1,i2)),not(f2))) != and(i1,or(f1,i2))
| and(i1,and(i2,or(f1,i2))) = and(i1,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(i1,or(f1,i2)),not(f2))),and(i1,and(i2,or(f1,i2)))) )],[refute_0_2112,refute_0_2113]) ).
cnf(refute_0_2115,plain,
and(i1,and(i2,or(f1,i2))) = and(i1,or(f1,i2)),
inference(resolve,[$cnf( $equal(or(n0,and(and(i1,or(f1,i2)),not(f2))),and(i1,or(f1,i2))) )],[refute_0_2092,refute_0_2114]) ).
cnf(refute_0_2116,plain,
and(i1,and(i2,or(f1,i2))) = and(i1,and(i2,or(f1,i2))),
introduced(tautology,[refl,[$fot(and(i1,and(i2,or(f1,i2))))]]) ).
cnf(refute_0_2117,plain,
( and(i1,and(i2,or(f1,i2))) != and(i1,and(i2,or(f1,i2)))
| i1 != c1
| and(i1,and(i2,or(f1,i2))) = and(c1,and(i2,or(f1,i2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,and(i2,or(f1,i2))),and(i1,and(i2,or(f1,i2)))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_2118,plain,
( i1 != c1
| and(i1,and(i2,or(f1,i2))) = and(c1,and(i2,or(f1,i2))) ),
inference(resolve,[$cnf( $equal(and(i1,and(i2,or(f1,i2))),and(i1,and(i2,or(f1,i2)))) )],[refute_0_2116,refute_0_2117]) ).
cnf(refute_0_2119,plain,
and(i1,and(i2,or(f1,i2))) = and(c1,and(i2,or(f1,i2))),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_2118]) ).
cnf(refute_0_2120,plain,
( and(i1,and(i2,or(f1,i2))) != and(c1,and(i2,or(f1,i2)))
| and(i1,and(i2,or(f1,i2))) != and(i1,or(f1,i2))
| and(c1,and(i2,or(f1,i2))) = and(i1,or(f1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,and(i2,or(f1,i2))),and(i1,or(f1,i2))) ),[0],$fot(and(c1,and(i2,or(f1,i2))))]]) ).
cnf(refute_0_2121,plain,
( and(i1,and(i2,or(f1,i2))) != and(i1,or(f1,i2))
| and(c1,and(i2,or(f1,i2))) = and(i1,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(and(i1,and(i2,or(f1,i2))),and(c1,and(i2,or(f1,i2)))) )],[refute_0_2119,refute_0_2120]) ).
cnf(refute_0_2122,plain,
and(i1,or(f1,i2)) = and(i1,or(f1,i2)),
introduced(tautology,[refl,[$fot(and(i1,or(f1,i2)))]]) ).
cnf(refute_0_2123,plain,
( and(i1,or(f1,i2)) != and(i1,or(f1,i2))
| i1 != c1
| and(i1,or(f1,i2)) = and(c1,or(f1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,or(f1,i2)),and(i1,or(f1,i2))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_2124,plain,
( i1 != c1
| and(i1,or(f1,i2)) = and(c1,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(and(i1,or(f1,i2)),and(i1,or(f1,i2))) )],[refute_0_2122,refute_0_2123]) ).
cnf(refute_0_2125,plain,
and(i1,or(f1,i2)) = and(c1,or(f1,i2)),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_2124]) ).
cnf(refute_0_2126,plain,
( and(c1,and(i2,or(f1,i2))) != and(i1,or(f1,i2))
| and(i1,or(f1,i2)) != and(c1,or(f1,i2))
| and(c1,and(i2,or(f1,i2))) = and(c1,or(f1,i2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(c1,and(i2,or(f1,i2))),and(c1,or(f1,i2))) ),[0],$fot(and(i1,or(f1,i2)))]]) ).
cnf(refute_0_2127,plain,
( and(c1,and(i2,or(f1,i2))) != and(i1,or(f1,i2))
| and(c1,and(i2,or(f1,i2))) = and(c1,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(and(i1,or(f1,i2)),and(c1,or(f1,i2))) )],[refute_0_2125,refute_0_2126]) ).
cnf(refute_0_2128,plain,
( and(i1,and(i2,or(f1,i2))) != and(i1,or(f1,i2))
| and(c1,and(i2,or(f1,i2))) = and(c1,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(and(c1,and(i2,or(f1,i2))),and(i1,or(f1,i2))) )],[refute_0_2121,refute_0_2127]) ).
cnf(refute_0_2129,plain,
and(c1,and(i2,or(f1,i2))) = and(c1,or(f1,i2)),
inference(resolve,[$cnf( $equal(and(i1,and(i2,or(f1,i2))),and(i1,or(f1,i2))) )],[refute_0_2115,refute_0_2128]) ).
cnf(refute_0_2130,plain,
and(c2,or(f1,i2)) = and(c2,or(f1,i2)),
introduced(tautology,[refl,[$fot(and(c2,or(f1,i2)))]]) ).
cnf(refute_0_2131,plain,
( and(c2,or(f1,i2)) != and(c2,or(f1,i2))
| or(f1,i2) != or(c2,f1)
| and(c2,or(f1,i2)) = and(c2,or(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,or(f1,i2)),and(c2,or(f1,i2))) ),[1,1],$fot(or(c2,f1))]]) ).
cnf(refute_0_2132,plain,
( or(f1,i2) != or(c2,f1)
| and(c2,or(f1,i2)) = and(c2,or(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(c2,or(f1,i2)),and(c2,or(f1,i2))) )],[refute_0_2130,refute_0_2131]) ).
cnf(refute_0_2133,plain,
and(c2,or(f1,i2)) = and(c2,or(c2,f1)),
inference(resolve,[$cnf( $equal(or(f1,i2),or(c2,f1)) )],[refute_0_666,refute_0_2132]) ).
cnf(refute_0_2134,plain,
and(i2,or(f1,i2)) = and(i2,or(f1,i2)),
introduced(tautology,[refl,[$fot(and(i2,or(f1,i2)))]]) ).
cnf(refute_0_2135,plain,
( and(i2,or(f1,i2)) != and(i2,or(f1,i2))
| i2 != c2
| and(i2,or(f1,i2)) = and(c2,or(f1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i2,or(f1,i2)),and(i2,or(f1,i2))) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_2136,plain,
( i2 != c2
| and(i2,or(f1,i2)) = and(c2,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(and(i2,or(f1,i2)),and(i2,or(f1,i2))) )],[refute_0_2134,refute_0_2135]) ).
cnf(refute_0_2137,plain,
and(i2,or(f1,i2)) = and(c2,or(f1,i2)),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_2136]) ).
cnf(refute_0_2138,plain,
( and(c2,or(f1,i2)) != and(c2,or(c2,f1))
| and(i2,or(f1,i2)) != and(c2,or(f1,i2))
| and(i2,or(f1,i2)) = and(c2,or(c2,f1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i2,or(f1,i2)))),bind(Y0,$fot(and(c2,or(f1,i2)))),bind(Z0,$fot(and(c2,or(c2,f1))))]]) ).
cnf(refute_0_2139,plain,
( and(c2,or(f1,i2)) != and(c2,or(c2,f1))
| and(i2,or(f1,i2)) = and(c2,or(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(i2,or(f1,i2)),and(c2,or(f1,i2))) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
and(i2,or(f1,i2)) = and(c2,or(c2,f1)),
inference(resolve,[$cnf( $equal(and(c2,or(f1,i2)),and(c2,or(c2,f1))) )],[refute_0_2133,refute_0_2139]) ).
cnf(refute_0_2141,plain,
and(c1,and(i2,or(f1,i2))) = and(c1,and(i2,or(f1,i2))),
introduced(tautology,[refl,[$fot(and(c1,and(i2,or(f1,i2))))]]) ).
cnf(refute_0_2142,plain,
( and(c1,and(i2,or(f1,i2))) != and(c1,and(i2,or(f1,i2)))
| and(i2,or(f1,i2)) != and(c2,or(c2,f1))
| and(c1,and(i2,or(f1,i2))) = and(c1,and(c2,or(c2,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(i2,or(f1,i2))),and(c1,and(i2,or(f1,i2)))) ),[1,1],$fot(and(c2,or(c2,f1)))]]) ).
cnf(refute_0_2143,plain,
( and(i2,or(f1,i2)) != and(c2,or(c2,f1))
| and(c1,and(i2,or(f1,i2))) = and(c1,and(c2,or(c2,f1))) ),
inference(resolve,[$cnf( $equal(and(c1,and(i2,or(f1,i2))),and(c1,and(i2,or(f1,i2)))) )],[refute_0_2141,refute_0_2142]) ).
cnf(refute_0_2144,plain,
and(c1,and(i2,or(f1,i2))) = and(c1,and(c2,or(c2,f1))),
inference(resolve,[$cnf( $equal(and(i2,or(f1,i2)),and(c2,or(c2,f1))) )],[refute_0_2140,refute_0_2143]) ).
cnf(refute_0_2145,plain,
( and(c1,and(i2,or(f1,i2))) != and(c1,and(c2,or(c2,f1)))
| and(c1,and(i2,or(f1,i2))) != and(c1,or(f1,i2))
| and(c1,and(c2,or(c2,f1))) = and(c1,or(f1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(i2,or(f1,i2))),and(c1,or(f1,i2))) ),[0],$fot(and(c1,and(c2,or(c2,f1))))]]) ).
cnf(refute_0_2146,plain,
( and(c1,and(i2,or(f1,i2))) != and(c1,or(f1,i2))
| and(c1,and(c2,or(c2,f1))) = and(c1,or(f1,i2)) ),
inference(resolve,[$cnf( $equal(and(c1,and(i2,or(f1,i2))),and(c1,and(c2,or(c2,f1)))) )],[refute_0_2144,refute_0_2145]) ).
cnf(refute_0_2147,plain,
and(c1,or(f1,i2)) = and(c1,or(f1,i2)),
introduced(tautology,[refl,[$fot(and(c1,or(f1,i2)))]]) ).
cnf(refute_0_2148,plain,
( and(c1,or(f1,i2)) != and(c1,or(f1,i2))
| or(f1,i2) != or(c2,f1)
| and(c1,or(f1,i2)) = and(c1,or(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,or(f1,i2)),and(c1,or(f1,i2))) ),[1,1],$fot(or(c2,f1))]]) ).
cnf(refute_0_2149,plain,
( or(f1,i2) != or(c2,f1)
| and(c1,or(f1,i2)) = and(c1,or(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(c1,or(f1,i2)),and(c1,or(f1,i2))) )],[refute_0_2147,refute_0_2148]) ).
cnf(refute_0_2150,plain,
and(c1,or(f1,i2)) = and(c1,or(c2,f1)),
inference(resolve,[$cnf( $equal(or(f1,i2),or(c2,f1)) )],[refute_0_666,refute_0_2149]) ).
cnf(refute_0_2151,plain,
( and(c1,and(c2,or(c2,f1))) != and(c1,or(f1,i2))
| and(c1,or(f1,i2)) != and(c1,or(c2,f1))
| and(c1,and(c2,or(c2,f1))) = and(c1,or(c2,f1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(c1,and(c2,or(c2,f1))),and(c1,or(c2,f1))) ),[0],$fot(and(c1,or(f1,i2)))]]) ).
cnf(refute_0_2152,plain,
( and(c1,and(c2,or(c2,f1))) != and(c1,or(f1,i2))
| and(c1,and(c2,or(c2,f1))) = and(c1,or(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(c1,or(f1,i2)),and(c1,or(c2,f1))) )],[refute_0_2150,refute_0_2151]) ).
cnf(refute_0_2153,plain,
( and(c1,and(i2,or(f1,i2))) != and(c1,or(f1,i2))
| and(c1,and(c2,or(c2,f1))) = and(c1,or(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(c1,and(c2,or(c2,f1))),and(c1,or(f1,i2))) )],[refute_0_2146,refute_0_2152]) ).
cnf(refute_0_2154,plain,
and(c1,and(c2,or(c2,f1))) = and(c1,or(c2,f1)),
inference(resolve,[$cnf( $equal(and(c1,and(i2,or(f1,i2))),and(c1,or(f1,i2))) )],[refute_0_2129,refute_0_2153]) ).
cnf(refute_0_2155,plain,
and(i1,i2) = and(i1,i2),
introduced(tautology,[refl,[$fot(and(i1,i2))]]) ).
cnf(refute_0_2156,plain,
( and(i1,i2) != and(i1,i2)
| i1 != c1
| and(i1,i2) = and(c1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,i2),and(i1,i2)) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_2157,plain,
( i1 != c1
| and(i1,i2) = and(c1,i2) ),
inference(resolve,[$cnf( $equal(and(i1,i2),and(i1,i2)) )],[refute_0_2155,refute_0_2156]) ).
cnf(refute_0_2158,plain,
and(i1,i2) = and(c1,i2),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_2157]) ).
cnf(refute_0_2159,plain,
( and(i1,i2) != and(c1,i2)
| d3 != and(i1,i2)
| d3 = and(c1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(d3,and(i1,i2)) ),[1],$fot(and(c1,i2))]]) ).
cnf(refute_0_2160,plain,
( d3 != and(i1,i2)
| d3 = and(c1,i2) ),
inference(resolve,[$cnf( $equal(and(i1,i2),and(c1,i2)) )],[refute_0_2158,refute_0_2159]) ).
cnf(refute_0_2161,plain,
d3 = and(c1,i2),
inference(resolve,[$cnf( $equal(d3,and(i1,i2)) )],[refute_0_221,refute_0_2160]) ).
cnf(refute_0_2162,plain,
and(c1,i2) = and(c1,i2),
introduced(tautology,[refl,[$fot(and(c1,i2))]]) ).
cnf(refute_0_2163,plain,
( and(c1,i2) != and(c1,i2)
| i2 != c2
| and(c1,i2) = and(c1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,i2),and(c1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_2164,plain,
( i2 != c2
| and(c1,i2) = and(c1,c2) ),
inference(resolve,[$cnf( $equal(and(c1,i2),and(c1,i2)) )],[refute_0_2162,refute_0_2163]) ).
cnf(refute_0_2165,plain,
and(c1,i2) = and(c1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_2164]) ).
cnf(refute_0_2166,plain,
( and(c1,i2) != and(c1,c2)
| d3 != and(c1,i2)
| d3 = and(c1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(d3,and(c1,i2)) ),[1],$fot(and(c1,c2))]]) ).
cnf(refute_0_2167,plain,
( d3 != and(c1,i2)
| d3 = and(c1,c2) ),
inference(resolve,[$cnf( $equal(and(c1,i2),and(c1,c2)) )],[refute_0_2165,refute_0_2166]) ).
cnf(refute_0_2168,plain,
d3 = and(c1,c2),
inference(resolve,[$cnf( $equal(d3,and(c1,i2)) )],[refute_0_2161,refute_0_2167]) ).
cnf(refute_0_2169,plain,
( d3 != and(c1,c2)
| and(c1,c2) = d3 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d3)),bind(Y0,$fot(and(c1,c2)))]]) ).
cnf(refute_0_2170,plain,
and(c1,c2) = d3,
inference(resolve,[$cnf( $equal(d3,and(c1,c2)) )],[refute_0_2168,refute_0_2169]) ).
cnf(refute_0_2171,plain,
( or(b1,c2) != or(c2,f1)
| or(c2,f1) = or(b1,c2) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(b1,c2))),bind(Y0,$fot(or(c2,f1)))]]) ).
cnf(refute_0_2172,plain,
or(c2,f1) = or(b1,c2),
inference(resolve,[$cnf( $equal(or(b1,c2),or(c2,f1)) )],[refute_0_1627,refute_0_2171]) ).
cnf(refute_0_2173,plain,
and(c2,or(c2,f1)) = and(c2,or(c2,f1)),
introduced(tautology,[refl,[$fot(and(c2,or(c2,f1)))]]) ).
cnf(refute_0_2174,plain,
( and(c2,or(c2,f1)) != and(c2,or(c2,f1))
| or(c2,f1) != or(b1,c2)
| and(c2,or(c2,f1)) = and(c2,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,or(c2,f1)),and(c2,or(c2,f1))) ),[1,1],$fot(or(b1,c2))]]) ).
cnf(refute_0_2175,plain,
( or(c2,f1) != or(b1,c2)
| and(c2,or(c2,f1)) = and(c2,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(c2,or(c2,f1)),and(c2,or(c2,f1))) )],[refute_0_2173,refute_0_2174]) ).
cnf(refute_0_2176,plain,
and(c2,or(c2,f1)) = and(c2,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(c2,f1),or(b1,c2)) )],[refute_0_2172,refute_0_2175]) ).
cnf(refute_0_2177,plain,
( and(c2,or(b1,c2)) != c2
| and(c2,or(c2,f1)) != and(c2,or(b1,c2))
| and(c2,or(c2,f1)) = c2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c2,or(c2,f1)))),bind(Y0,$fot(and(c2,or(b1,c2)))),bind(Z0,$fot(c2))]]) ).
cnf(refute_0_2178,plain,
( and(c2,or(b1,c2)) != c2
| and(c2,or(c2,f1)) = c2 ),
inference(resolve,[$cnf( $equal(and(c2,or(c2,f1)),and(c2,or(b1,c2))) )],[refute_0_2176,refute_0_2177]) ).
cnf(refute_0_2179,plain,
and(c2,or(c2,f1)) = c2,
inference(resolve,[$cnf( $equal(and(c2,or(b1,c2)),c2) )],[refute_0_798,refute_0_2178]) ).
cnf(refute_0_2180,plain,
and(c1,and(c2,or(c2,f1))) = and(c1,and(c2,or(c2,f1))),
introduced(tautology,[refl,[$fot(and(c1,and(c2,or(c2,f1))))]]) ).
cnf(refute_0_2181,plain,
( and(c1,and(c2,or(c2,f1))) != and(c1,and(c2,or(c2,f1)))
| and(c2,or(c2,f1)) != c2
| and(c1,and(c2,or(c2,f1))) = and(c1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(c2,or(c2,f1))),and(c1,and(c2,or(c2,f1)))) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_2182,plain,
( and(c2,or(c2,f1)) != c2
| and(c1,and(c2,or(c2,f1))) = and(c1,c2) ),
inference(resolve,[$cnf( $equal(and(c1,and(c2,or(c2,f1))),and(c1,and(c2,or(c2,f1)))) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
and(c1,and(c2,or(c2,f1))) = and(c1,c2),
inference(resolve,[$cnf( $equal(and(c2,or(c2,f1)),c2) )],[refute_0_2179,refute_0_2182]) ).
cnf(refute_0_2184,plain,
( and(c1,and(c2,or(c2,f1))) != and(c1,c2)
| and(c1,c2) != d3
| and(c1,and(c2,or(c2,f1))) = d3 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c1,and(c2,or(c2,f1))))),bind(Y0,$fot(and(c1,c2))),bind(Z0,$fot(d3))]]) ).
cnf(refute_0_2185,plain,
( and(c1,c2) != d3
| and(c1,and(c2,or(c2,f1))) = d3 ),
inference(resolve,[$cnf( $equal(and(c1,and(c2,or(c2,f1))),and(c1,c2)) )],[refute_0_2183,refute_0_2184]) ).
cnf(refute_0_2186,plain,
and(c1,and(c2,or(c2,f1))) = d3,
inference(resolve,[$cnf( $equal(and(c1,c2),d3) )],[refute_0_2170,refute_0_2185]) ).
cnf(refute_0_2187,plain,
( and(c1,and(c2,or(c2,f1))) != and(c1,or(c2,f1))
| and(c1,and(c2,or(c2,f1))) != d3
| d3 = and(c1,or(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(c2,or(c2,f1))),and(c1,or(c2,f1))) ),[0],$fot(d3)]]) ).
cnf(refute_0_2188,plain,
( and(c1,and(c2,or(c2,f1))) != and(c1,or(c2,f1))
| d3 = and(c1,or(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(c1,and(c2,or(c2,f1))),d3) )],[refute_0_2186,refute_0_2187]) ).
cnf(refute_0_2189,plain,
and(c1,or(c2,f1)) = and(c1,or(c2,f1)),
introduced(tautology,[refl,[$fot(and(c1,or(c2,f1)))]]) ).
cnf(refute_0_2190,plain,
( and(c1,or(c2,f1)) != and(c1,or(c2,f1))
| or(c2,f1) != or(b1,c2)
| and(c1,or(c2,f1)) = and(c1,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,or(c2,f1)),and(c1,or(c2,f1))) ),[1,1],$fot(or(b1,c2))]]) ).
cnf(refute_0_2191,plain,
( or(c2,f1) != or(b1,c2)
| and(c1,or(c2,f1)) = and(c1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(c1,or(c2,f1)),and(c1,or(c2,f1))) )],[refute_0_2189,refute_0_2190]) ).
cnf(refute_0_2192,plain,
and(c1,or(c2,f1)) = and(c1,or(b1,c2)),
inference(resolve,[$cnf( $equal(or(c2,f1),or(b1,c2)) )],[refute_0_2172,refute_0_2191]) ).
cnf(refute_0_2193,plain,
( and(c1,or(c2,f1)) != and(c1,or(b1,c2))
| d3 != and(c1,or(c2,f1))
| d3 = and(c1,or(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(d3,and(c1,or(c2,f1))) ),[1],$fot(and(c1,or(b1,c2)))]]) ).
cnf(refute_0_2194,plain,
( d3 != and(c1,or(c2,f1))
| d3 = and(c1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(and(c1,or(c2,f1)),and(c1,or(b1,c2))) )],[refute_0_2192,refute_0_2193]) ).
cnf(refute_0_2195,plain,
( and(c1,and(c2,or(c2,f1))) != and(c1,or(c2,f1))
| d3 = and(c1,or(b1,c2)) ),
inference(resolve,[$cnf( $equal(d3,and(c1,or(c2,f1))) )],[refute_0_2188,refute_0_2194]) ).
cnf(refute_0_2196,plain,
d3 = and(c1,or(b1,c2)),
inference(resolve,[$cnf( $equal(and(c1,and(c2,or(c2,f1))),and(c1,or(c2,f1))) )],[refute_0_2154,refute_0_2195]) ).
cnf(refute_0_2197,plain,
( d3 != and(c1,or(b1,c2))
| and(c1,or(b1,c2)) = d3 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d3)),bind(Y0,$fot(and(c1,or(b1,c2))))]]) ).
cnf(refute_0_2198,plain,
and(c1,or(b1,c2)) = d3,
inference(resolve,[$cnf( $equal(d3,and(c1,or(b1,c2))) )],[refute_0_2196,refute_0_2197]) ).
cnf(refute_0_2199,plain,
or(f1,and(c1,or(b1,c2))) = or(f1,and(c1,or(b1,c2))),
introduced(tautology,[refl,[$fot(or(f1,and(c1,or(b1,c2))))]]) ).
cnf(refute_0_2200,plain,
( and(c1,or(b1,c2)) != d3
| or(f1,and(c1,or(b1,c2))) != or(f1,and(c1,or(b1,c2)))
| or(f1,and(c1,or(b1,c2))) = or(f1,d3) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,and(c1,or(b1,c2))),or(f1,and(c1,or(b1,c2)))) ),[1,1],$fot(d3)]]) ).
cnf(refute_0_2201,plain,
( and(c1,or(b1,c2)) != d3
| or(f1,and(c1,or(b1,c2))) = or(f1,d3) ),
inference(resolve,[$cnf( $equal(or(f1,and(c1,or(b1,c2))),or(f1,and(c1,or(b1,c2)))) )],[refute_0_2199,refute_0_2200]) ).
cnf(refute_0_2202,plain,
or(f1,and(c1,or(b1,c2))) = or(f1,d3),
inference(resolve,[$cnf( $equal(and(c1,or(b1,c2)),d3) )],[refute_0_2198,refute_0_2201]) ).
cnf(refute_0_2203,plain,
( or(f1,and(c1,or(b1,c2))) != or(f1,d3)
| or(f1,d3) != b1
| or(f1,and(c1,or(b1,c2))) = b1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,and(c1,or(b1,c2))))),bind(Y0,$fot(or(f1,d3))),bind(Z0,$fot(b1))]]) ).
cnf(refute_0_2204,plain,
( or(f1,d3) != b1
| or(f1,and(c1,or(b1,c2))) = b1 ),
inference(resolve,[$cnf( $equal(or(f1,and(c1,or(b1,c2))),or(f1,d3)) )],[refute_0_2202,refute_0_2203]) ).
cnf(refute_0_2205,plain,
or(f1,and(c1,or(b1,c2))) = b1,
inference(resolve,[$cnf( $equal(or(f1,d3),b1) )],[refute_0_2080,refute_0_2204]) ).
cnf(refute_0_2206,plain,
or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) = or(and(b3,f2),or(f1,and(c1,or(b1,c2)))),
introduced(tautology,[refl,[$fot(or(and(b3,f2),or(f1,and(c1,or(b1,c2)))))]]) ).
cnf(refute_0_2207,plain,
( or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) != or(and(b3,f2),or(f1,and(c1,or(b1,c2))))
| or(f1,and(c1,or(b1,c2))) != b1
| or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) = or(and(b3,f2),b1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b3,f2),or(f1,and(c1,or(b1,c2)))),or(and(b3,f2),or(f1,and(c1,or(b1,c2))))) ),[1,1],$fot(b1)]]) ).
cnf(refute_0_2208,plain,
( or(f1,and(c1,or(b1,c2))) != b1
| or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) = or(and(b3,f2),b1) ),
inference(resolve,[$cnf( $equal(or(and(b3,f2),or(f1,and(c1,or(b1,c2)))),or(and(b3,f2),or(f1,and(c1,or(b1,c2))))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) = or(and(b3,f2),b1),
inference(resolve,[$cnf( $equal(or(f1,and(c1,or(b1,c2))),b1) )],[refute_0_2205,refute_0_2208]) ).
cnf(refute_0_2210,plain,
( or(and(b3,f2),b1) != or(b1,f2)
| or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) != or(and(b3,f2),b1)
| or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) = or(b1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(b3,f2),or(f1,and(c1,or(b1,c2)))))),bind(Y0,$fot(or(and(b3,f2),b1))),bind(Z0,$fot(or(b1,f2)))]]) ).
cnf(refute_0_2211,plain,
( or(and(b3,f2),b1) != or(b1,f2)
| or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) = or(b1,f2) ),
inference(resolve,[$cnf( $equal(or(and(b3,f2),or(f1,and(c1,or(b1,c2)))),or(and(b3,f2),b1)) )],[refute_0_2209,refute_0_2210]) ).
cnf(refute_0_2212,plain,
or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) = or(b1,f2),
inference(resolve,[$cnf( $equal(or(and(b3,f2),b1),or(b1,f2)) )],[refute_0_2077,refute_0_2211]) ).
cnf(refute_0_2213,plain,
( n1 != or(and(b3,f2),or(f1,and(c1,or(b1,c2))))
| or(and(b3,f2),or(f1,and(c1,or(b1,c2)))) != or(b1,f2)
| n1 = or(b1,f2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(n1,or(b1,f2)) ),[0],$fot(or(and(b3,f2),or(f1,and(c1,or(b1,c2)))))]]) ).
cnf(refute_0_2214,plain,
( n1 != or(and(b3,f2),or(f1,and(c1,or(b1,c2))))
| n1 = or(b1,f2) ),
inference(resolve,[$cnf( $equal(or(and(b3,f2),or(f1,and(c1,or(b1,c2)))),or(b1,f2)) )],[refute_0_2212,refute_0_2213]) ).
cnf(refute_0_2215,plain,
n1 = or(b1,f2),
inference(resolve,[$cnf( $equal(n1,or(and(b3,f2),or(f1,and(c1,or(b1,c2))))) )],[refute_0_1927,refute_0_2214]) ).
cnf(refute_0_2216,plain,
( n1 != or(b1,f2)
| or(b1,f2) = n1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(or(b1,f2)))]]) ).
cnf(refute_0_2217,plain,
or(b1,f2) = n1,
inference(resolve,[$cnf( $equal(n1,or(b1,f2)) )],[refute_0_2215,refute_0_2216]) ).
cnf(refute_0_2218,plain,
and(c2,or(b1,f2)) = and(c2,or(b1,f2)),
introduced(tautology,[refl,[$fot(and(c2,or(b1,f2)))]]) ).
cnf(refute_0_2219,plain,
( and(c2,or(b1,f2)) != and(c2,or(b1,f2))
| or(b1,f2) != n1
| and(c2,or(b1,f2)) = and(c2,n1) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,or(b1,f2)),and(c2,or(b1,f2))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_2220,plain,
( or(b1,f2) != n1
| and(c2,or(b1,f2)) = and(c2,n1) ),
inference(resolve,[$cnf( $equal(and(c2,or(b1,f2)),and(c2,or(b1,f2))) )],[refute_0_2218,refute_0_2219]) ).
cnf(refute_0_2221,plain,
and(c2,or(b1,f2)) = and(c2,n1),
inference(resolve,[$cnf( $equal(or(b1,f2),n1) )],[refute_0_2217,refute_0_2220]) ).
cnf(refute_0_2222,plain,
( and(c2,n1) != c2
| and(c2,or(b1,f2)) != and(c2,n1)
| and(c2,or(b1,f2)) = c2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c2,or(b1,f2)))),bind(Y0,$fot(and(c2,n1))),bind(Z0,$fot(c2))]]) ).
cnf(refute_0_2223,plain,
( and(c2,n1) != c2
| and(c2,or(b1,f2)) = c2 ),
inference(resolve,[$cnf( $equal(and(c2,or(b1,f2)),and(c2,n1)) )],[refute_0_2221,refute_0_2222]) ).
cnf(refute_0_2224,plain,
and(c2,or(b1,f2)) = c2,
inference(resolve,[$cnf( $equal(and(c2,n1),c2) )],[refute_0_1852,refute_0_2223]) ).
cnf(refute_0_2225,plain,
( and(b1,c2) != and(c2,or(b1,f2))
| and(c2,or(b1,f2)) != c2
| and(b1,c2) = c2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(b1,c2),c2) ),[0],$fot(and(c2,or(b1,f2)))]]) ).
cnf(refute_0_2226,plain,
( and(b1,c2) != and(c2,or(b1,f2))
| and(b1,c2) = c2 ),
inference(resolve,[$cnf( $equal(and(c2,or(b1,f2)),c2) )],[refute_0_2224,refute_0_2225]) ).
cnf(refute_0_2227,plain,
and(b1,c2) = c2,
inference(resolve,[$cnf( $equal(and(b1,c2),and(c2,or(b1,f2))) )],[refute_0_1851,refute_0_2226]) ).
cnf(refute_0_2228,plain,
not(and(b1,c2)) = not(and(b1,c2)),
introduced(tautology,[refl,[$fot(not(and(b1,c2)))]]) ).
cnf(refute_0_2229,plain,
( and(b1,c2) != c2
| not(and(b1,c2)) != not(and(b1,c2))
| not(and(b1,c2)) = not(c2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,c2)),not(and(b1,c2))) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_2230,plain,
( and(b1,c2) != c2
| not(and(b1,c2)) = not(c2) ),
inference(resolve,[$cnf( $equal(not(and(b1,c2)),not(and(b1,c2))) )],[refute_0_2228,refute_0_2229]) ).
cnf(refute_0_2231,plain,
not(and(b1,c2)) = not(c2),
inference(resolve,[$cnf( $equal(and(b1,c2),c2) )],[refute_0_2227,refute_0_2230]) ).
cnf(refute_0_2232,plain,
( not(and(b1,c2)) != not(c2)
| not(c2) != f2
| not(and(b1,c2)) = f2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(b1,c2)))),bind(Y0,$fot(not(c2))),bind(Z0,$fot(f2))]]) ).
cnf(refute_0_2233,plain,
( not(c2) != f2
| not(and(b1,c2)) = f2 ),
inference(resolve,[$cnf( $equal(not(and(b1,c2)),not(c2)) )],[refute_0_2231,refute_0_2232]) ).
cnf(refute_0_2234,plain,
not(and(b1,c2)) = f2,
inference(resolve,[$cnf( $equal(not(c2),f2) )],[refute_0_810,refute_0_2233]) ).
cnf(refute_0_2235,plain,
( not(and(b1,c2)) != f2
| not(and(b1,c2)) != or(d1,f2)
| f2 = or(d1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,c2)),or(d1,f2)) ),[0],$fot(f2)]]) ).
cnf(refute_0_2236,plain,
( not(and(b1,c2)) != or(d1,f2)
| f2 = or(d1,f2) ),
inference(resolve,[$cnf( $equal(not(and(b1,c2)),f2) )],[refute_0_2234,refute_0_2235]) ).
cnf(refute_0_2237,plain,
f2 = or(d1,f2),
inference(resolve,[$cnf( $equal(not(and(b1,c2)),or(d1,f2)) )],[refute_0_1649,refute_0_2236]) ).
cnf(refute_0_2238,plain,
( f2 != or(d1,f2)
| or(d1,f2) = f2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(f2)),bind(Y0,$fot(or(d1,f2)))]]) ).
cnf(refute_0_2239,plain,
or(d1,f2) = f2,
inference(resolve,[$cnf( $equal(f2,or(d1,f2)) )],[refute_0_2237,refute_0_2238]) ).
cnf(refute_0_2240,plain,
and(d1,or(d1,f2)) = and(d1,or(d1,f2)),
introduced(tautology,[refl,[$fot(and(d1,or(d1,f2)))]]) ).
cnf(refute_0_2241,plain,
( and(d1,or(d1,f2)) != and(d1,or(d1,f2))
| or(d1,f2) != f2
| and(d1,or(d1,f2)) = and(d1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,or(d1,f2)),and(d1,or(d1,f2))) ),[1,1],$fot(f2)]]) ).
cnf(refute_0_2242,plain,
( or(d1,f2) != f2
| and(d1,or(d1,f2)) = and(d1,f2) ),
inference(resolve,[$cnf( $equal(and(d1,or(d1,f2)),and(d1,or(d1,f2))) )],[refute_0_2240,refute_0_2241]) ).
cnf(refute_0_2243,plain,
and(d1,or(d1,f2)) = and(d1,f2),
inference(resolve,[$cnf( $equal(or(d1,f2),f2) )],[refute_0_2239,refute_0_2242]) ).
cnf(refute_0_2244,plain,
( and(d1,f2) != and(b3,f2)
| and(d1,or(d1,f2)) != and(d1,f2)
| and(d1,or(d1,f2)) = and(b3,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(d1,or(d1,f2)))),bind(Y0,$fot(and(d1,f2))),bind(Z0,$fot(and(b3,f2)))]]) ).
cnf(refute_0_2245,plain,
( and(d1,f2) != and(b3,f2)
| and(d1,or(d1,f2)) = and(b3,f2) ),
inference(resolve,[$cnf( $equal(and(d1,or(d1,f2)),and(d1,f2)) )],[refute_0_2243,refute_0_2244]) ).
cnf(refute_0_2246,plain,
and(d1,or(d1,f2)) = and(b3,f2),
inference(resolve,[$cnf( $equal(and(d1,f2),and(b3,f2)) )],[refute_0_1561,refute_0_2245]) ).
cnf(refute_0_2247,plain,
( and(d1,or(d1,f2)) != and(b3,f2)
| d1 != and(d1,or(d1,f2))
| d1 = and(b3,f2) ),
introduced(tautology,[equality,[$cnf( $equal(d1,and(d1,or(d1,f2))) ),[1],$fot(and(b3,f2))]]) ).
cnf(refute_0_2248,plain,
( d1 != and(d1,or(d1,f2))
| d1 = and(b3,f2) ),
inference(resolve,[$cnf( $equal(and(d1,or(d1,f2)),and(b3,f2)) )],[refute_0_2246,refute_0_2247]) ).
cnf(refute_0_2249,plain,
d1 = and(b3,f2),
inference(resolve,[$cnf( $equal(d1,and(d1,or(d1,f2))) )],[refute_0_1701,refute_0_2248]) ).
cnf(refute_0_2250,plain,
( d1 != and(b3,f2)
| and(b3,f2) = d1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d1)),bind(Y0,$fot(and(b3,f2)))]]) ).
cnf(refute_0_2251,plain,
and(b3,f2) = d1,
inference(resolve,[$cnf( $equal(d1,and(b3,f2)) )],[refute_0_2249,refute_0_2250]) ).
cnf(refute_0_2252,plain,
not(and(b3,f2)) = not(and(b3,f2)),
introduced(tautology,[refl,[$fot(not(and(b3,f2)))]]) ).
cnf(refute_0_2253,plain,
( and(b3,f2) != d1
| not(and(b3,f2)) != not(and(b3,f2))
| not(and(b3,f2)) = not(d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b3,f2)),not(and(b3,f2))) ),[1,0],$fot(d1)]]) ).
cnf(refute_0_2254,plain,
( and(b3,f2) != d1
| not(and(b3,f2)) = not(d1) ),
inference(resolve,[$cnf( $equal(not(and(b3,f2)),not(and(b3,f2))) )],[refute_0_2252,refute_0_2253]) ).
cnf(refute_0_2255,plain,
not(and(b3,f2)) = not(d1),
inference(resolve,[$cnf( $equal(and(b3,f2),d1) )],[refute_0_2251,refute_0_2254]) ).
cnf(refute_0_2256,plain,
( not(and(b3,f2)) != not(d1)
| not(d1) != b1
| not(and(b3,f2)) = b1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(b3,f2)))),bind(Y0,$fot(not(d1))),bind(Z0,$fot(b1))]]) ).
cnf(refute_0_2257,plain,
( not(d1) != b1
| not(and(b3,f2)) = b1 ),
inference(resolve,[$cnf( $equal(not(and(b3,f2)),not(d1)) )],[refute_0_2255,refute_0_2256]) ).
cnf(refute_0_2258,plain,
not(and(b3,f2)) = b1,
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_2257]) ).
cnf(refute_0_2259,plain,
( not(and(b3,f2)) != b1
| not(and(b3,f2)) != or(b1,c2)
| b1 = or(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b3,f2)),or(b1,c2)) ),[0],$fot(b1)]]) ).
cnf(refute_0_2260,plain,
( not(and(b3,f2)) != or(b1,c2)
| b1 = or(b1,c2) ),
inference(resolve,[$cnf( $equal(not(and(b3,f2)),b1) )],[refute_0_2258,refute_0_2259]) ).
cnf(refute_0_2261,plain,
b1 = or(b1,c2),
inference(resolve,[$cnf( $equal(not(and(b3,f2)),or(b1,c2)) )],[refute_0_1458,refute_0_2260]) ).
cnf(refute_0_2262,plain,
( b1 != or(b1,c2)
| or(b1,c2) = b1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b1)),bind(Y0,$fot(or(b1,c2)))]]) ).
cnf(refute_0_2263,plain,
or(b1,c2) = b1,
inference(resolve,[$cnf( $equal(b1,or(b1,c2)) )],[refute_0_2261,refute_0_2262]) ).
cnf(refute_0_2264,plain,
( or(b1,c2) != b1
| or(b1,c2) != or(c2,f1)
| b1 = or(c2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(or(b1,c2),or(c2,f1)) ),[0],$fot(b1)]]) ).
cnf(refute_0_2265,plain,
( or(b1,c2) != or(c2,f1)
| b1 = or(c2,f1) ),
inference(resolve,[$cnf( $equal(or(b1,c2),b1) )],[refute_0_2263,refute_0_2264]) ).
cnf(refute_0_2266,plain,
b1 = or(c2,f1),
inference(resolve,[$cnf( $equal(or(b1,c2),or(c2,f1)) )],[refute_0_1627,refute_0_2265]) ).
cnf(refute_0_2267,plain,
( b1 != or(c2,f1)
| or(c2,f1) = b1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b1)),bind(Y0,$fot(or(c2,f1)))]]) ).
cnf(refute_0_2268,plain,
or(c2,f1) = b1,
inference(resolve,[$cnf( $equal(b1,or(c2,f1)) )],[refute_0_2266,refute_0_2267]) ).
cnf(refute_0_2269,plain,
and(b3,or(c2,f1)) = and(b3,or(c2,f1)),
introduced(tautology,[refl,[$fot(and(b3,or(c2,f1)))]]) ).
cnf(refute_0_2270,plain,
( and(b3,or(c2,f1)) != and(b3,or(c2,f1))
| or(c2,f1) != b1
| and(b3,or(c2,f1)) = and(b3,b1) ),
introduced(tautology,[equality,[$cnf( $equal(and(b3,or(c2,f1)),and(b3,or(c2,f1))) ),[1,1],$fot(b1)]]) ).
cnf(refute_0_2271,plain,
( or(c2,f1) != b1
| and(b3,or(c2,f1)) = and(b3,b1) ),
inference(resolve,[$cnf( $equal(and(b3,or(c2,f1)),and(b3,or(c2,f1))) )],[refute_0_2269,refute_0_2270]) ).
cnf(refute_0_2272,plain,
and(b3,or(c2,f1)) = and(b3,b1),
inference(resolve,[$cnf( $equal(or(c2,f1),b1) )],[refute_0_2268,refute_0_2271]) ).
cnf(refute_0_2273,plain,
( and(b3,b1) != a1
| and(b3,or(c2,f1)) != and(b3,b1)
| and(b3,or(c2,f1)) = a1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b3,or(c2,f1)))),bind(Y0,$fot(and(b3,b1))),bind(Z0,$fot(a1))]]) ).
cnf(refute_0_2274,plain,
( and(b3,b1) != a1
| and(b3,or(c2,f1)) = a1 ),
inference(resolve,[$cnf( $equal(and(b3,or(c2,f1)),and(b3,b1)) )],[refute_0_2272,refute_0_2273]) ).
cnf(refute_0_2275,plain,
and(b3,or(c2,f1)) = a1,
inference(resolve,[$cnf( $equal(and(b3,b1),a1) )],[refute_0_697,refute_0_2274]) ).
cnf(refute_0_2276,plain,
( and(b3,or(c2,f1)) != a1
| c2 != and(b3,or(c2,f1))
| c2 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(c2,and(b3,or(c2,f1))) ),[1],$fot(a1)]]) ).
cnf(refute_0_2277,plain,
( c2 != and(b3,or(c2,f1))
| c2 = a1 ),
inference(resolve,[$cnf( $equal(and(b3,or(c2,f1)),a1) )],[refute_0_2275,refute_0_2276]) ).
cnf(refute_0_2278,plain,
c2 = a1,
inference(resolve,[$cnf( $equal(c2,and(b3,or(c2,f1))) )],[refute_0_691,refute_0_2277]) ).
cnf(refute_0_2279,plain,
input(c1,c2) = input(c1,c2),
introduced(tautology,[refl,[$fot(input(c1,c2))]]) ).
cnf(refute_0_2280,plain,
( c2 != a1
| input(c1,c2) != input(c1,c2)
| input(c1,c2) = input(c1,a1) ),
introduced(tautology,[equality,[$cnf( $equal(input(c1,c2),input(c1,c2)) ),[1,1],$fot(a1)]]) ).
cnf(refute_0_2281,plain,
( c2 != a1
| input(c1,c2) = input(c1,a1) ),
inference(resolve,[$cnf( $equal(input(c1,c2),input(c1,c2)) )],[refute_0_2279,refute_0_2280]) ).
cnf(refute_0_2282,plain,
input(c1,c2) = input(c1,a1),
inference(resolve,[$cnf( $equal(c2,a1) )],[refute_0_2278,refute_0_2281]) ).
cnf(refute_0_2283,plain,
( input(c1,c2) != input(c1,a1)
| ~ circuit(input(c1,a1),output(c2,c1))
| circuit(input(c1,c2),output(c2,c1)) ),
introduced(tautology,[equality,[$cnf( ~ circuit(input(c1,c2),output(c2,c1)) ),[0],$fot(input(c1,a1))]]) ).
cnf(refute_0_2284,plain,
( ~ circuit(input(c1,a1),output(c2,c1))
| circuit(input(c1,c2),output(c2,c1)) ),
inference(resolve,[$cnf( $equal(input(c1,c2),input(c1,a1)) )],[refute_0_2282,refute_0_2283]) ).
cnf(refute_0_2285,plain,
output(c2,c1) = output(c2,c1),
introduced(tautology,[refl,[$fot(output(c2,c1))]]) ).
cnf(refute_0_2286,plain,
( c2 != a1
| output(c2,c1) != output(c2,c1)
| output(c2,c1) = output(a1,c1) ),
introduced(tautology,[equality,[$cnf( $equal(output(c2,c1),output(c2,c1)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_2287,plain,
( c2 != a1
| output(c2,c1) = output(a1,c1) ),
inference(resolve,[$cnf( $equal(output(c2,c1),output(c2,c1)) )],[refute_0_2285,refute_0_2286]) ).
cnf(refute_0_2288,plain,
output(c2,c1) = output(a1,c1),
inference(resolve,[$cnf( $equal(c2,a1) )],[refute_0_2278,refute_0_2287]) ).
cnf(refute_0_2289,plain,
( output(c2,c1) != output(a1,c1)
| ~ circuit(input(c1,a1),output(a1,c1))
| circuit(input(c1,a1),output(c2,c1)) ),
introduced(tautology,[equality,[$cnf( ~ circuit(input(c1,a1),output(c2,c1)) ),[1],$fot(output(a1,c1))]]) ).
cnf(refute_0_2290,plain,
( ~ circuit(input(c1,a1),output(a1,c1))
| circuit(input(c1,a1),output(c2,c1)) ),
inference(resolve,[$cnf( $equal(output(c2,c1),output(a1,c1)) )],[refute_0_2288,refute_0_2289]) ).
cnf(refute_0_2291,plain,
( ~ circuit(input(c1,a1),output(a1,c1))
| circuit(input(c1,c2),output(c2,c1)) ),
inference(resolve,[$cnf( circuit(input(c1,a1),output(c2,c1)) )],[refute_0_2290,refute_0_2284]) ).
cnf(refute_0_2292,plain,
~ circuit(input(c1,a1),output(a1,c1)),
inference(resolve,[$cnf( circuit(input(c1,c2),output(c2,c1)) )],[refute_0_2291,refute_0_544]) ).
cnf(refute_0_2293,plain,
or(and(f1,and(b2,or(c1,d2))),and(and(b2,or(c1,d2)),not(f1))) = and(b2,or(c1,d2)),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(f1)),bind(Y,$fot(and(b2,or(c1,d2))))]]) ).
cnf(refute_0_2294,plain,
and(and(f1,and(b2,or(c1,d2))),not(and(f1,and(b2,or(c1,d2))))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(f1,and(b2,or(c1,d2)))))]]) ).
cnf(refute_0_2295,plain,
not(and(X_109,f1)) = or(not(X_109),not(f1)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_2296,plain,
( not(and(X_109,f1)) != or(not(X_109),not(f1))
| not(f1) != i1
| not(and(X_109,f1)) = or(not(X_109),i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,f1)),or(not(X_109),not(f1))) ),[1,1],$fot(i1)]]) ).
cnf(refute_0_2297,plain,
( not(and(X_109,f1)) != or(not(X_109),not(f1))
| not(and(X_109,f1)) = or(not(X_109),i1) ),
inference(resolve,[$cnf( $equal(not(f1),i1) )],[refute_0_10,refute_0_2296]) ).
cnf(refute_0_2298,plain,
not(and(X_109,f1)) = or(not(X_109),i1),
inference(resolve,[$cnf( $equal(not(and(X_109,f1)),or(not(X_109),not(f1))) )],[refute_0_2295,refute_0_2297]) ).
cnf(refute_0_2299,plain,
or(not(X_109),i1) = or(i1,not(X_109)),
inference(subst,[],[refute_0_37:[bind(X,$fot(i1)),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_2300,plain,
( not(and(X_109,f1)) != or(not(X_109),i1)
| or(not(X_109),i1) != or(i1,not(X_109))
| not(and(X_109,f1)) = or(i1,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,f1)),or(i1,not(X_109))) ),[0],$fot(or(not(X_109),i1))]]) ).
cnf(refute_0_2301,plain,
( not(and(X_109,f1)) != or(not(X_109),i1)
| not(and(X_109,f1)) = or(i1,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),i1),or(i1,not(X_109))) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
not(and(X_109,f1)) = or(i1,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,f1)),or(not(X_109),i1)) )],[refute_0_2298,refute_0_2301]) ).
cnf(refute_0_2303,plain,
or(i1,not(X_109)) = or(i1,not(X_109)),
introduced(tautology,[refl,[$fot(or(i1,not(X_109)))]]) ).
cnf(refute_0_2304,plain,
( i1 != c1
| or(i1,not(X_109)) != or(i1,not(X_109))
| or(i1,not(X_109)) = or(c1,not(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(or(i1,not(X_109)),or(i1,not(X_109))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_2305,plain,
( i1 != c1
| or(i1,not(X_109)) = or(c1,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(i1,not(X_109)),or(i1,not(X_109))) )],[refute_0_2303,refute_0_2304]) ).
cnf(refute_0_2306,plain,
or(i1,not(X_109)) = or(c1,not(X_109)),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_2305]) ).
cnf(refute_0_2307,plain,
( not(and(X_109,f1)) != or(i1,not(X_109))
| or(i1,not(X_109)) != or(c1,not(X_109))
| not(and(X_109,f1)) = or(c1,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,f1)),or(c1,not(X_109))) ),[0],$fot(or(i1,not(X_109)))]]) ).
cnf(refute_0_2308,plain,
( not(and(X_109,f1)) != or(i1,not(X_109))
| not(and(X_109,f1)) = or(c1,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(i1,not(X_109)),or(c1,not(X_109))) )],[refute_0_2306,refute_0_2307]) ).
cnf(refute_0_2309,plain,
not(and(X_109,f1)) = or(c1,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,f1)),or(i1,not(X_109))) )],[refute_0_2302,refute_0_2308]) ).
cnf(refute_0_2310,plain,
not(and(and(b2,or(c1,d2)),f1)) = or(c1,not(and(b2,or(c1,d2)))),
inference(subst,[],[refute_0_2309:[bind(X_109,$fot(and(b2,or(c1,d2))))]]) ).
cnf(refute_0_2311,plain,
not(and(X_109,b2)) = or(not(X_109),not(b2)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(X_109)),bind(Y,$fot(b2))]]) ).
cnf(refute_0_2312,plain,
( not(and(X_109,b2)) != or(not(X_109),not(b2))
| not(b2) != d2
| not(and(X_109,b2)) = or(not(X_109),d2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,b2)),or(not(X_109),not(b2))) ),[1,1],$fot(d2)]]) ).
cnf(refute_0_2313,plain,
( not(and(X_109,b2)) != or(not(X_109),not(b2))
| not(and(X_109,b2)) = or(not(X_109),d2) ),
inference(resolve,[$cnf( $equal(not(b2),d2) )],[refute_0_397,refute_0_2312]) ).
cnf(refute_0_2314,plain,
not(and(X_109,b2)) = or(not(X_109),d2),
inference(resolve,[$cnf( $equal(not(and(X_109,b2)),or(not(X_109),not(b2))) )],[refute_0_2311,refute_0_2313]) ).
cnf(refute_0_2315,plain,
or(not(X_109),d2) = or(d2,not(X_109)),
inference(subst,[],[refute_0_37:[bind(X,$fot(d2)),bind(Y,$fot(not(X_109)))]]) ).
cnf(refute_0_2316,plain,
( not(and(X_109,b2)) != or(not(X_109),d2)
| or(not(X_109),d2) != or(d2,not(X_109))
| not(and(X_109,b2)) = or(d2,not(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(X_109,b2)),or(d2,not(X_109))) ),[0],$fot(or(not(X_109),d2))]]) ).
cnf(refute_0_2317,plain,
( not(and(X_109,b2)) != or(not(X_109),d2)
| not(and(X_109,b2)) = or(d2,not(X_109)) ),
inference(resolve,[$cnf( $equal(or(not(X_109),d2),or(d2,not(X_109))) )],[refute_0_2315,refute_0_2316]) ).
cnf(refute_0_2318,plain,
not(and(X_109,b2)) = or(d2,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,b2)),or(not(X_109),d2)) )],[refute_0_2314,refute_0_2317]) ).
cnf(refute_0_2319,plain,
not(and(or(c1,d2),b2)) = or(d2,not(or(c1,d2))),
inference(subst,[],[refute_0_2318:[bind(X_109,$fot(or(c1,d2)))]]) ).
cnf(refute_0_2320,plain,
not(not(and(b2,f1))) = and(b2,f1),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b2,f1)))]]) ).
cnf(refute_0_2321,plain,
not(and(b2,f1)) = or(c1,not(b2)),
inference(subst,[],[refute_0_2309:[bind(X_109,$fot(b2))]]) ).
cnf(refute_0_2322,plain,
( not(and(b2,f1)) != or(c1,not(b2))
| not(b2) != d2
| not(and(b2,f1)) = or(c1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b2,f1)),or(c1,not(b2))) ),[1,1],$fot(d2)]]) ).
cnf(refute_0_2323,plain,
( not(and(b2,f1)) != or(c1,not(b2))
| not(and(b2,f1)) = or(c1,d2) ),
inference(resolve,[$cnf( $equal(not(b2),d2) )],[refute_0_397,refute_0_2322]) ).
cnf(refute_0_2324,plain,
not(and(b2,f1)) = or(c1,d2),
inference(resolve,[$cnf( $equal(not(and(b2,f1)),or(c1,not(b2))) )],[refute_0_2321,refute_0_2323]) ).
cnf(refute_0_2325,plain,
( not(and(b2,f1)) != or(c1,d2)
| not(not(and(b2,f1))) != and(b2,f1)
| not(or(c1,d2)) = and(b2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b2,f1))),and(b2,f1)) ),[0,0],$fot(or(c1,d2))]]) ).
cnf(refute_0_2326,plain,
( not(not(and(b2,f1))) != and(b2,f1)
| not(or(c1,d2)) = and(b2,f1) ),
inference(resolve,[$cnf( $equal(not(and(b2,f1)),or(c1,d2)) )],[refute_0_2324,refute_0_2325]) ).
cnf(refute_0_2327,plain,
not(or(c1,d2)) = and(b2,f1),
inference(resolve,[$cnf( $equal(not(not(and(b2,f1))),and(b2,f1)) )],[refute_0_2320,refute_0_2326]) ).
cnf(refute_0_2328,plain,
( not(and(or(c1,d2),b2)) != or(d2,not(or(c1,d2)))
| not(or(c1,d2)) != and(b2,f1)
| not(and(or(c1,d2),b2)) = or(d2,and(b2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(c1,d2),b2)),or(d2,not(or(c1,d2)))) ),[1,1],$fot(and(b2,f1))]]) ).
cnf(refute_0_2329,plain,
( not(and(or(c1,d2),b2)) != or(d2,not(or(c1,d2)))
| not(and(or(c1,d2),b2)) = or(d2,and(b2,f1)) ),
inference(resolve,[$cnf( $equal(not(or(c1,d2)),and(b2,f1)) )],[refute_0_2327,refute_0_2328]) ).
cnf(refute_0_2330,plain,
not(and(or(c1,d2),b2)) = or(d2,and(b2,f1)),
inference(resolve,[$cnf( $equal(not(and(or(c1,d2),b2)),or(d2,not(or(c1,d2)))) )],[refute_0_2319,refute_0_2329]) ).
cnf(refute_0_2331,plain,
not(and(X_118,b2)) = or(d2,not(X_118)),
inference(subst,[],[refute_0_2318:[bind(X_109,$fot(X_118))]]) ).
cnf(refute_0_2332,plain,
and(b2,X_118) = and(X_118,b2),
inference(subst,[],[and_commutativity:[bind(X,$fot(b2)),bind(Y,$fot(X_118))]]) ).
cnf(refute_0_2333,plain,
( and(b2,X_118) != and(X_118,b2)
| and(X_118,b2) = and(b2,X_118) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(b2,X_118))),bind(Y0,$fot(and(X_118,b2)))]]) ).
cnf(refute_0_2334,plain,
and(X_118,b2) = and(b2,X_118),
inference(resolve,[$cnf( $equal(and(b2,X_118),and(X_118,b2)) )],[refute_0_2332,refute_0_2333]) ).
cnf(refute_0_2335,plain,
( and(X_118,b2) != and(b2,X_118)
| not(and(X_118,b2)) != or(d2,not(X_118))
| not(and(b2,X_118)) = or(d2,not(X_118)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_118,b2)),or(d2,not(X_118))) ),[0,0],$fot(and(b2,X_118))]]) ).
cnf(refute_0_2336,plain,
( not(and(X_118,b2)) != or(d2,not(X_118))
| not(and(b2,X_118)) = or(d2,not(X_118)) ),
inference(resolve,[$cnf( $equal(and(X_118,b2),and(b2,X_118)) )],[refute_0_2334,refute_0_2335]) ).
cnf(refute_0_2337,plain,
not(and(b2,X_118)) = or(d2,not(X_118)),
inference(resolve,[$cnf( $equal(not(and(X_118,b2)),or(d2,not(X_118))) )],[refute_0_2331,refute_0_2336]) ).
cnf(refute_0_2338,plain,
( not(and(X_109,b2)) != or(d2,not(X_109))
| or(d2,not(X_109)) = not(and(X_109,b2)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,b2)))),bind(Y0,$fot(or(d2,not(X_109))))]]) ).
cnf(refute_0_2339,plain,
or(d2,not(X_109)) = not(and(X_109,b2)),
inference(resolve,[$cnf( $equal(not(and(X_109,b2)),or(d2,not(X_109))) )],[refute_0_2318,refute_0_2338]) ).
cnf(refute_0_2340,plain,
or(d2,not(X_118)) = not(and(X_118,b2)),
inference(subst,[],[refute_0_2339:[bind(X_109,$fot(X_118))]]) ).
cnf(refute_0_2341,plain,
( not(and(b2,X_118)) != or(d2,not(X_118))
| or(d2,not(X_118)) != not(and(X_118,b2))
| not(and(b2,X_118)) = not(and(X_118,b2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b2,X_118)),not(and(X_118,b2))) ),[0],$fot(or(d2,not(X_118)))]]) ).
cnf(refute_0_2342,plain,
( not(and(b2,X_118)) != or(d2,not(X_118))
| not(and(b2,X_118)) = not(and(X_118,b2)) ),
inference(resolve,[$cnf( $equal(or(d2,not(X_118)),not(and(X_118,b2))) )],[refute_0_2340,refute_0_2341]) ).
cnf(refute_0_2343,plain,
not(and(b2,X_118)) = not(and(X_118,b2)),
inference(resolve,[$cnf( $equal(not(and(b2,X_118)),or(d2,not(X_118))) )],[refute_0_2337,refute_0_2342]) ).
cnf(refute_0_2344,plain,
( not(and(b2,X_118)) != not(and(X_118,b2))
| not(and(X_118,b2)) = not(and(b2,X_118)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(b2,X_118)))),bind(Y0,$fot(not(and(X_118,b2))))]]) ).
cnf(refute_0_2345,plain,
not(and(X_118,b2)) = not(and(b2,X_118)),
inference(resolve,[$cnf( $equal(not(and(b2,X_118)),not(and(X_118,b2))) )],[refute_0_2343,refute_0_2344]) ).
cnf(refute_0_2346,plain,
not(and(or(c1,d2),b2)) = not(and(b2,or(c1,d2))),
inference(subst,[],[refute_0_2345:[bind(X_118,$fot(or(c1,d2)))]]) ).
cnf(refute_0_2347,plain,
( not(and(or(c1,d2),b2)) != not(and(b2,or(c1,d2)))
| not(and(or(c1,d2),b2)) != or(d2,and(b2,f1))
| not(and(b2,or(c1,d2))) = or(d2,and(b2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(c1,d2),b2)),or(d2,and(b2,f1))) ),[0],$fot(not(and(b2,or(c1,d2))))]]) ).
cnf(refute_0_2348,plain,
( not(and(or(c1,d2),b2)) != or(d2,and(b2,f1))
| not(and(b2,or(c1,d2))) = or(d2,and(b2,f1)) ),
inference(resolve,[$cnf( $equal(not(and(or(c1,d2),b2)),not(and(b2,or(c1,d2)))) )],[refute_0_2346,refute_0_2347]) ).
cnf(refute_0_2349,plain,
not(and(b2,or(c1,d2))) = or(d2,and(b2,f1)),
inference(resolve,[$cnf( $equal(not(and(or(c1,d2),b2)),or(d2,and(b2,f1))) )],[refute_0_2330,refute_0_2348]) ).
cnf(refute_0_2350,plain,
( not(and(and(b2,or(c1,d2)),f1)) != or(c1,not(and(b2,or(c1,d2))))
| not(and(b2,or(c1,d2))) != or(d2,and(b2,f1))
| not(and(and(b2,or(c1,d2)),f1)) = or(c1,or(d2,and(b2,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b2,or(c1,d2)),f1)),or(c1,not(and(b2,or(c1,d2))))) ),[1,1],$fot(or(d2,and(b2,f1)))]]) ).
cnf(refute_0_2351,plain,
( not(and(and(b2,or(c1,d2)),f1)) != or(c1,not(and(b2,or(c1,d2))))
| not(and(and(b2,or(c1,d2)),f1)) = or(c1,or(d2,and(b2,f1))) ),
inference(resolve,[$cnf( $equal(not(and(b2,or(c1,d2))),or(d2,and(b2,f1))) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
not(and(and(b2,or(c1,d2)),f1)) = or(c1,or(d2,and(b2,f1))),
inference(resolve,[$cnf( $equal(not(and(and(b2,or(c1,d2)),f1)),or(c1,not(and(b2,or(c1,d2))))) )],[refute_0_2310,refute_0_2351]) ).
cnf(refute_0_2353,plain,
not(and(X_116,f1)) = or(c1,not(X_116)),
inference(subst,[],[refute_0_2309:[bind(X_109,$fot(X_116))]]) ).
cnf(refute_0_2354,plain,
and(f1,X_116) = and(X_116,f1),
inference(subst,[],[and_commutativity:[bind(X,$fot(f1)),bind(Y,$fot(X_116))]]) ).
cnf(refute_0_2355,plain,
( and(f1,X_116) != and(X_116,f1)
| and(X_116,f1) = and(f1,X_116) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(f1,X_116))),bind(Y0,$fot(and(X_116,f1)))]]) ).
cnf(refute_0_2356,plain,
and(X_116,f1) = and(f1,X_116),
inference(resolve,[$cnf( $equal(and(f1,X_116),and(X_116,f1)) )],[refute_0_2354,refute_0_2355]) ).
cnf(refute_0_2357,plain,
( and(X_116,f1) != and(f1,X_116)
| not(and(X_116,f1)) != or(c1,not(X_116))
| not(and(f1,X_116)) = or(c1,not(X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_116,f1)),or(c1,not(X_116))) ),[0,0],$fot(and(f1,X_116))]]) ).
cnf(refute_0_2358,plain,
( not(and(X_116,f1)) != or(c1,not(X_116))
| not(and(f1,X_116)) = or(c1,not(X_116)) ),
inference(resolve,[$cnf( $equal(and(X_116,f1),and(f1,X_116)) )],[refute_0_2356,refute_0_2357]) ).
cnf(refute_0_2359,plain,
not(and(f1,X_116)) = or(c1,not(X_116)),
inference(resolve,[$cnf( $equal(not(and(X_116,f1)),or(c1,not(X_116))) )],[refute_0_2353,refute_0_2358]) ).
cnf(refute_0_2360,plain,
( not(and(X_109,f1)) != or(c1,not(X_109))
| or(c1,not(X_109)) = not(and(X_109,f1)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,f1)))),bind(Y0,$fot(or(c1,not(X_109))))]]) ).
cnf(refute_0_2361,plain,
or(c1,not(X_109)) = not(and(X_109,f1)),
inference(resolve,[$cnf( $equal(not(and(X_109,f1)),or(c1,not(X_109))) )],[refute_0_2309,refute_0_2360]) ).
cnf(refute_0_2362,plain,
or(c1,not(X_116)) = not(and(X_116,f1)),
inference(subst,[],[refute_0_2361:[bind(X_109,$fot(X_116))]]) ).
cnf(refute_0_2363,plain,
( not(and(f1,X_116)) != or(c1,not(X_116))
| or(c1,not(X_116)) != not(and(X_116,f1))
| not(and(f1,X_116)) = not(and(X_116,f1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f1,X_116)),not(and(X_116,f1))) ),[0],$fot(or(c1,not(X_116)))]]) ).
cnf(refute_0_2364,plain,
( not(and(f1,X_116)) != or(c1,not(X_116))
| not(and(f1,X_116)) = not(and(X_116,f1)) ),
inference(resolve,[$cnf( $equal(or(c1,not(X_116)),not(and(X_116,f1))) )],[refute_0_2362,refute_0_2363]) ).
cnf(refute_0_2365,plain,
not(and(f1,X_116)) = not(and(X_116,f1)),
inference(resolve,[$cnf( $equal(not(and(f1,X_116)),or(c1,not(X_116))) )],[refute_0_2359,refute_0_2364]) ).
cnf(refute_0_2366,plain,
( not(and(f1,X_116)) != not(and(X_116,f1))
| not(and(X_116,f1)) = not(and(f1,X_116)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(f1,X_116)))),bind(Y0,$fot(not(and(X_116,f1))))]]) ).
cnf(refute_0_2367,plain,
not(and(X_116,f1)) = not(and(f1,X_116)),
inference(resolve,[$cnf( $equal(not(and(f1,X_116)),not(and(X_116,f1))) )],[refute_0_2365,refute_0_2366]) ).
cnf(refute_0_2368,plain,
not(and(and(b2,or(c1,d2)),f1)) = not(and(f1,and(b2,or(c1,d2)))),
inference(subst,[],[refute_0_2367:[bind(X_116,$fot(and(b2,or(c1,d2))))]]) ).
cnf(refute_0_2369,plain,
( not(and(and(b2,or(c1,d2)),f1)) != not(and(f1,and(b2,or(c1,d2))))
| not(and(and(b2,or(c1,d2)),f1)) != or(c1,or(d2,and(b2,f1)))
| not(and(f1,and(b2,or(c1,d2)))) = or(c1,or(d2,and(b2,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b2,or(c1,d2)),f1)),or(c1,or(d2,and(b2,f1)))) ),[0],$fot(not(and(f1,and(b2,or(c1,d2)))))]]) ).
cnf(refute_0_2370,plain,
( not(and(and(b2,or(c1,d2)),f1)) != or(c1,or(d2,and(b2,f1)))
| not(and(f1,and(b2,or(c1,d2)))) = or(c1,or(d2,and(b2,f1))) ),
inference(resolve,[$cnf( $equal(not(and(and(b2,or(c1,d2)),f1)),not(and(f1,and(b2,or(c1,d2))))) )],[refute_0_2368,refute_0_2369]) ).
cnf(refute_0_2371,plain,
or(or(c1,d2),not(or(c1,d2))) = n1,
inference(subst,[],[or_not_simplification1:[bind(X,$fot(or(c1,d2)))]]) ).
cnf(refute_0_2372,plain,
( not(or(c1,d2)) != and(b2,f1)
| or(or(c1,d2),not(or(c1,d2))) != n1
| or(or(c1,d2),and(b2,f1)) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(c1,d2),not(or(c1,d2))),n1) ),[0,1],$fot(and(b2,f1))]]) ).
cnf(refute_0_2373,plain,
( or(or(c1,d2),not(or(c1,d2))) != n1
| or(or(c1,d2),and(b2,f1)) = n1 ),
inference(resolve,[$cnf( $equal(not(or(c1,d2)),and(b2,f1)) )],[refute_0_2327,refute_0_2372]) ).
cnf(refute_0_2374,plain,
or(or(c1,d2),and(b2,f1)) = n1,
inference(resolve,[$cnf( $equal(or(or(c1,d2),not(or(c1,d2))),n1) )],[refute_0_2371,refute_0_2373]) ).
cnf(refute_0_2375,plain,
or(or(c1,d2),and(b2,f1)) = or(c1,or(d2,and(b2,f1))),
inference(subst,[],[refute_0_65:[bind(X,$fot(c1)),bind(Y,$fot(d2)),bind(Z,$fot(and(b2,f1)))]]) ).
cnf(refute_0_2376,plain,
( or(or(c1,d2),and(b2,f1)) != n1
| or(or(c1,d2),and(b2,f1)) != or(c1,or(d2,and(b2,f1)))
| or(c1,or(d2,and(b2,f1))) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(or(c1,d2),and(b2,f1)),n1) ),[0],$fot(or(c1,or(d2,and(b2,f1))))]]) ).
cnf(refute_0_2377,plain,
( or(or(c1,d2),and(b2,f1)) != n1
| or(c1,or(d2,and(b2,f1))) = n1 ),
inference(resolve,[$cnf( $equal(or(or(c1,d2),and(b2,f1)),or(c1,or(d2,and(b2,f1)))) )],[refute_0_2375,refute_0_2376]) ).
cnf(refute_0_2378,plain,
or(c1,or(d2,and(b2,f1))) = n1,
inference(resolve,[$cnf( $equal(or(or(c1,d2),and(b2,f1)),n1) )],[refute_0_2374,refute_0_2377]) ).
cnf(refute_0_2379,plain,
( not(and(f1,and(b2,or(c1,d2)))) != or(c1,or(d2,and(b2,f1)))
| or(c1,or(d2,and(b2,f1))) != n1
| not(and(f1,and(b2,or(c1,d2)))) = n1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f1,and(b2,or(c1,d2)))),n1) ),[0],$fot(or(c1,or(d2,and(b2,f1))))]]) ).
cnf(refute_0_2380,plain,
( not(and(f1,and(b2,or(c1,d2)))) != or(c1,or(d2,and(b2,f1)))
| not(and(f1,and(b2,or(c1,d2)))) = n1 ),
inference(resolve,[$cnf( $equal(or(c1,or(d2,and(b2,f1))),n1) )],[refute_0_2378,refute_0_2379]) ).
cnf(refute_0_2381,plain,
( not(and(and(b2,or(c1,d2)),f1)) != or(c1,or(d2,and(b2,f1)))
| not(and(f1,and(b2,or(c1,d2)))) = n1 ),
inference(resolve,[$cnf( $equal(not(and(f1,and(b2,or(c1,d2)))),or(c1,or(d2,and(b2,f1)))) )],[refute_0_2370,refute_0_2380]) ).
cnf(refute_0_2382,plain,
not(and(f1,and(b2,or(c1,d2)))) = n1,
inference(resolve,[$cnf( $equal(not(and(and(b2,or(c1,d2)),f1)),or(c1,or(d2,and(b2,f1)))) )],[refute_0_2352,refute_0_2381]) ).
cnf(refute_0_2383,plain,
( and(and(f1,and(b2,or(c1,d2))),not(and(f1,and(b2,or(c1,d2))))) != n0
| not(and(f1,and(b2,or(c1,d2)))) != n1
| and(and(f1,and(b2,or(c1,d2))),n1) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(f1,and(b2,or(c1,d2))),not(and(f1,and(b2,or(c1,d2))))),n0) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_2384,plain,
( and(and(f1,and(b2,or(c1,d2))),not(and(f1,and(b2,or(c1,d2))))) != n0
| and(and(f1,and(b2,or(c1,d2))),n1) = n0 ),
inference(resolve,[$cnf( $equal(not(and(f1,and(b2,or(c1,d2)))),n1) )],[refute_0_2382,refute_0_2383]) ).
cnf(refute_0_2385,plain,
and(and(f1,and(b2,or(c1,d2))),n1) = n0,
inference(resolve,[$cnf( $equal(and(and(f1,and(b2,or(c1,d2))),not(and(f1,and(b2,or(c1,d2))))),n0) )],[refute_0_2294,refute_0_2384]) ).
cnf(refute_0_2386,plain,
and(n1,and(b2,or(c1,d2))) = and(b2,or(c1,d2)),
inference(subst,[],[refute_0_1358:[bind(X,$fot(and(b2,or(c1,d2))))]]) ).
cnf(refute_0_2387,plain,
and(f1,and(n1,and(b2,or(c1,d2)))) = and(f1,and(n1,and(b2,or(c1,d2)))),
introduced(tautology,[refl,[$fot(and(f1,and(n1,and(b2,or(c1,d2)))))]]) ).
cnf(refute_0_2388,plain,
( and(f1,and(n1,and(b2,or(c1,d2)))) != and(f1,and(n1,and(b2,or(c1,d2))))
| and(n1,and(b2,or(c1,d2))) != and(b2,or(c1,d2))
| and(f1,and(n1,and(b2,or(c1,d2)))) = and(f1,and(b2,or(c1,d2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,and(n1,and(b2,or(c1,d2)))),and(f1,and(n1,and(b2,or(c1,d2))))) ),[1,1],$fot(and(b2,or(c1,d2)))]]) ).
cnf(refute_0_2389,plain,
( and(n1,and(b2,or(c1,d2))) != and(b2,or(c1,d2))
| and(f1,and(n1,and(b2,or(c1,d2)))) = and(f1,and(b2,or(c1,d2))) ),
inference(resolve,[$cnf( $equal(and(f1,and(n1,and(b2,or(c1,d2)))),and(f1,and(n1,and(b2,or(c1,d2))))) )],[refute_0_2387,refute_0_2388]) ).
cnf(refute_0_2390,plain,
and(f1,and(n1,and(b2,or(c1,d2)))) = and(f1,and(b2,or(c1,d2))),
inference(resolve,[$cnf( $equal(and(n1,and(b2,or(c1,d2))),and(b2,or(c1,d2))) )],[refute_0_2386,refute_0_2389]) ).
cnf(refute_0_2391,plain,
and(f1,and(and(b2,or(c1,d2)),n1)) = and(f1,and(n1,and(b2,or(c1,d2)))),
inference(subst,[],[refute_0_944:[bind(X,$fot(f1)),bind(Y,$fot(n1)),bind(Z,$fot(and(b2,or(c1,d2))))]]) ).
cnf(refute_0_2392,plain,
and(and(f1,and(b2,or(c1,d2))),n1) = and(f1,and(and(b2,or(c1,d2)),n1)),
inference(subst,[],[refute_0_202:[bind(X,$fot(f1)),bind(Y,$fot(and(b2,or(c1,d2)))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_2393,plain,
( and(and(f1,and(b2,or(c1,d2))),n1) != and(f1,and(and(b2,or(c1,d2)),n1))
| and(f1,and(and(b2,or(c1,d2)),n1)) != and(f1,and(n1,and(b2,or(c1,d2))))
| and(and(f1,and(b2,or(c1,d2))),n1) = and(f1,and(n1,and(b2,or(c1,d2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(f1,and(b2,or(c1,d2))),n1))),bind(Y0,$fot(and(f1,and(and(b2,or(c1,d2)),n1)))),bind(Z0,$fot(and(f1,and(n1,and(b2,or(c1,d2))))))]]) ).
cnf(refute_0_2394,plain,
( and(f1,and(and(b2,or(c1,d2)),n1)) != and(f1,and(n1,and(b2,or(c1,d2))))
| and(and(f1,and(b2,or(c1,d2))),n1) = and(f1,and(n1,and(b2,or(c1,d2)))) ),
inference(resolve,[$cnf( $equal(and(and(f1,and(b2,or(c1,d2))),n1),and(f1,and(and(b2,or(c1,d2)),n1))) )],[refute_0_2392,refute_0_2393]) ).
cnf(refute_0_2395,plain,
and(and(f1,and(b2,or(c1,d2))),n1) = and(f1,and(n1,and(b2,or(c1,d2)))),
inference(resolve,[$cnf( $equal(and(f1,and(and(b2,or(c1,d2)),n1)),and(f1,and(n1,and(b2,or(c1,d2))))) )],[refute_0_2391,refute_0_2394]) ).
cnf(refute_0_2396,plain,
( and(and(f1,and(b2,or(c1,d2))),n1) != and(f1,and(n1,and(b2,or(c1,d2))))
| and(f1,and(n1,and(b2,or(c1,d2)))) != and(f1,and(b2,or(c1,d2)))
| and(and(f1,and(b2,or(c1,d2))),n1) = and(f1,and(b2,or(c1,d2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(f1,and(b2,or(c1,d2))),n1))),bind(Y0,$fot(and(f1,and(n1,and(b2,or(c1,d2)))))),bind(Z0,$fot(and(f1,and(b2,or(c1,d2)))))]]) ).
cnf(refute_0_2397,plain,
( and(f1,and(n1,and(b2,or(c1,d2)))) != and(f1,and(b2,or(c1,d2)))
| and(and(f1,and(b2,or(c1,d2))),n1) = and(f1,and(b2,or(c1,d2))) ),
inference(resolve,[$cnf( $equal(and(and(f1,and(b2,or(c1,d2))),n1),and(f1,and(n1,and(b2,or(c1,d2))))) )],[refute_0_2395,refute_0_2396]) ).
cnf(refute_0_2398,plain,
and(and(f1,and(b2,or(c1,d2))),n1) = and(f1,and(b2,or(c1,d2))),
inference(resolve,[$cnf( $equal(and(f1,and(n1,and(b2,or(c1,d2)))),and(f1,and(b2,or(c1,d2)))) )],[refute_0_2390,refute_0_2397]) ).
cnf(refute_0_2399,plain,
( and(and(f1,and(b2,or(c1,d2))),n1) != and(f1,and(b2,or(c1,d2)))
| and(and(f1,and(b2,or(c1,d2))),n1) != n0
| and(f1,and(b2,or(c1,d2))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(f1,and(b2,or(c1,d2))),n1),n0) ),[0],$fot(and(f1,and(b2,or(c1,d2))))]]) ).
cnf(refute_0_2400,plain,
( and(and(f1,and(b2,or(c1,d2))),n1) != n0
| and(f1,and(b2,or(c1,d2))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(f1,and(b2,or(c1,d2))),n1),and(f1,and(b2,or(c1,d2)))) )],[refute_0_2398,refute_0_2399]) ).
cnf(refute_0_2401,plain,
and(f1,and(b2,or(c1,d2))) = n0,
inference(resolve,[$cnf( $equal(and(and(f1,and(b2,or(c1,d2))),n1),n0) )],[refute_0_2385,refute_0_2400]) ).
cnf(refute_0_2402,plain,
( and(f1,and(b2,or(c1,d2))) != n0
| or(and(f1,and(b2,or(c1,d2))),and(and(b2,or(c1,d2)),not(f1))) != and(b2,or(c1,d2))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,or(c1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f1,and(b2,or(c1,d2))),and(and(b2,or(c1,d2)),not(f1))),and(b2,or(c1,d2))) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_2403,plain,
( or(and(f1,and(b2,or(c1,d2))),and(and(b2,or(c1,d2)),not(f1))) != and(b2,or(c1,d2))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,or(c1,d2)) ),
inference(resolve,[$cnf( $equal(and(f1,and(b2,or(c1,d2))),n0) )],[refute_0_2401,refute_0_2402]) ).
cnf(refute_0_2404,plain,
or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,or(c1,d2)),
inference(resolve,[$cnf( $equal(or(and(f1,and(b2,or(c1,d2))),and(and(b2,or(c1,d2)),not(f1))),and(b2,or(c1,d2))) )],[refute_0_2293,refute_0_2403]) ).
cnf(refute_0_2405,plain,
and(not(f1),or(c1,d2)) = and(not(f1),or(c1,d2)),
introduced(tautology,[refl,[$fot(and(not(f1),or(c1,d2)))]]) ).
cnf(refute_0_2406,plain,
( and(not(f1),or(c1,d2)) != and(not(f1),or(c1,d2))
| not(f1) != c1
| and(not(f1),or(c1,d2)) = and(c1,or(c1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(f1),or(c1,d2)),and(not(f1),or(c1,d2))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_2407,plain,
( not(f1) != c1
| and(not(f1),or(c1,d2)) = and(c1,or(c1,d2)) ),
inference(resolve,[$cnf( $equal(and(not(f1),or(c1,d2)),and(not(f1),or(c1,d2))) )],[refute_0_2405,refute_0_2406]) ).
cnf(refute_0_2408,plain,
and(not(f1),or(c1,d2)) = and(c1,or(c1,d2)),
inference(resolve,[$cnf( $equal(not(f1),c1) )],[refute_0_602,refute_0_2407]) ).
cnf(refute_0_2409,plain,
and(b2,and(not(f1),or(c1,d2))) = and(b2,and(not(f1),or(c1,d2))),
introduced(tautology,[refl,[$fot(and(b2,and(not(f1),or(c1,d2))))]]) ).
cnf(refute_0_2410,plain,
( and(b2,and(not(f1),or(c1,d2))) != and(b2,and(not(f1),or(c1,d2)))
| and(not(f1),or(c1,d2)) != and(c1,or(c1,d2))
| and(b2,and(not(f1),or(c1,d2))) = and(b2,and(c1,or(c1,d2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b2,and(not(f1),or(c1,d2))),and(b2,and(not(f1),or(c1,d2)))) ),[1,1],$fot(and(c1,or(c1,d2)))]]) ).
cnf(refute_0_2411,plain,
( and(not(f1),or(c1,d2)) != and(c1,or(c1,d2))
| and(b2,and(not(f1),or(c1,d2))) = and(b2,and(c1,or(c1,d2))) ),
inference(resolve,[$cnf( $equal(and(b2,and(not(f1),or(c1,d2))),and(b2,and(not(f1),or(c1,d2)))) )],[refute_0_2409,refute_0_2410]) ).
cnf(refute_0_2412,plain,
and(b2,and(not(f1),or(c1,d2))) = and(b2,and(c1,or(c1,d2))),
inference(resolve,[$cnf( $equal(and(not(f1),or(c1,d2)),and(c1,or(c1,d2))) )],[refute_0_2408,refute_0_2411]) ).
cnf(refute_0_2413,plain,
and(b2,and(or(c1,d2),not(f1))) = and(b2,and(not(f1),or(c1,d2))),
inference(subst,[],[refute_0_944:[bind(X,$fot(b2)),bind(Y,$fot(not(f1))),bind(Z,$fot(or(c1,d2)))]]) ).
cnf(refute_0_2414,plain,
and(and(b2,or(c1,d2)),not(f1)) = and(b2,and(or(c1,d2),not(f1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(b2)),bind(Y,$fot(or(c1,d2))),bind(Z,$fot(not(f1)))]]) ).
cnf(refute_0_2415,plain,
( and(and(b2,or(c1,d2)),not(f1)) != and(b2,and(or(c1,d2),not(f1)))
| and(b2,and(or(c1,d2),not(f1))) != and(b2,and(not(f1),or(c1,d2)))
| and(and(b2,or(c1,d2)),not(f1)) = and(b2,and(not(f1),or(c1,d2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(b2,or(c1,d2)),not(f1)))),bind(Y0,$fot(and(b2,and(or(c1,d2),not(f1))))),bind(Z0,$fot(and(b2,and(not(f1),or(c1,d2)))))]]) ).
cnf(refute_0_2416,plain,
( and(b2,and(or(c1,d2),not(f1))) != and(b2,and(not(f1),or(c1,d2)))
| and(and(b2,or(c1,d2)),not(f1)) = and(b2,and(not(f1),or(c1,d2))) ),
inference(resolve,[$cnf( $equal(and(and(b2,or(c1,d2)),not(f1)),and(b2,and(or(c1,d2),not(f1)))) )],[refute_0_2414,refute_0_2415]) ).
cnf(refute_0_2417,plain,
and(and(b2,or(c1,d2)),not(f1)) = and(b2,and(not(f1),or(c1,d2))),
inference(resolve,[$cnf( $equal(and(b2,and(or(c1,d2),not(f1))),and(b2,and(not(f1),or(c1,d2)))) )],[refute_0_2413,refute_0_2416]) ).
cnf(refute_0_2418,plain,
or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(and(b2,or(c1,d2)),not(f1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(b2,or(c1,d2)),not(f1))))]]) ).
cnf(refute_0_2419,plain,
( and(and(b2,or(c1,d2)),not(f1)) != and(b2,and(not(f1),or(c1,d2)))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) != and(and(b2,or(c1,d2)),not(f1))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,and(not(f1),or(c1,d2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(b2,or(c1,d2)),not(f1))))),bind(Y0,$fot(and(and(b2,or(c1,d2)),not(f1)))),bind(Z0,$fot(and(b2,and(not(f1),or(c1,d2)))))]]) ).
cnf(refute_0_2420,plain,
( and(and(b2,or(c1,d2)),not(f1)) != and(b2,and(not(f1),or(c1,d2)))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,and(not(f1),or(c1,d2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b2,or(c1,d2)),not(f1))),and(and(b2,or(c1,d2)),not(f1))) )],[refute_0_2418,refute_0_2419]) ).
cnf(refute_0_2421,plain,
or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,and(not(f1),or(c1,d2))),
inference(resolve,[$cnf( $equal(and(and(b2,or(c1,d2)),not(f1)),and(b2,and(not(f1),or(c1,d2)))) )],[refute_0_2417,refute_0_2420]) ).
cnf(refute_0_2422,plain,
( and(b2,and(not(f1),or(c1,d2))) != and(b2,and(c1,or(c1,d2)))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) != and(b2,and(not(f1),or(c1,d2)))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,and(c1,or(c1,d2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(b2,or(c1,d2)),not(f1))))),bind(Y0,$fot(and(b2,and(not(f1),or(c1,d2))))),bind(Z0,$fot(and(b2,and(c1,or(c1,d2)))))]]) ).
cnf(refute_0_2423,plain,
( and(b2,and(not(f1),or(c1,d2))) != and(b2,and(c1,or(c1,d2)))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,and(c1,or(c1,d2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b2,or(c1,d2)),not(f1))),and(b2,and(not(f1),or(c1,d2)))) )],[refute_0_2421,refute_0_2422]) ).
cnf(refute_0_2424,plain,
or(n0,and(and(b2,or(c1,d2)),not(f1))) = and(b2,and(c1,or(c1,d2))),
inference(resolve,[$cnf( $equal(and(b2,and(not(f1),or(c1,d2))),and(b2,and(c1,or(c1,d2)))) )],[refute_0_2412,refute_0_2423]) ).
cnf(refute_0_2425,plain,
( or(n0,and(and(b2,or(c1,d2)),not(f1))) != and(b2,and(c1,or(c1,d2)))
| or(n0,and(and(b2,or(c1,d2)),not(f1))) != and(b2,or(c1,d2))
| and(b2,and(c1,or(c1,d2))) = and(b2,or(c1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(b2,or(c1,d2)),not(f1))),and(b2,or(c1,d2))) ),[0],$fot(and(b2,and(c1,or(c1,d2))))]]) ).
cnf(refute_0_2426,plain,
( or(n0,and(and(b2,or(c1,d2)),not(f1))) != and(b2,or(c1,d2))
| and(b2,and(c1,or(c1,d2))) = and(b2,or(c1,d2)) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b2,or(c1,d2)),not(f1))),and(b2,and(c1,or(c1,d2)))) )],[refute_0_2424,refute_0_2425]) ).
cnf(refute_0_2427,plain,
and(b2,and(c1,or(c1,d2))) = and(b2,or(c1,d2)),
inference(resolve,[$cnf( $equal(or(n0,and(and(b2,or(c1,d2)),not(f1))),and(b2,or(c1,d2))) )],[refute_0_2404,refute_0_2426]) ).
cnf(refute_0_2428,plain,
not(not(and(c1,or(b2,c1)))) = and(c1,or(b2,c1)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(c1,or(b2,c1))))]]) ).
cnf(refute_0_2429,plain,
not(and(or(b2,i1),i1)) = or(f1,not(or(b2,i1))),
inference(subst,[],[refute_0_190:[bind(X_109,$fot(or(b2,i1)))]]) ).
cnf(refute_0_2430,plain,
not(not(and(d2,f1))) = and(d2,f1),
inference(subst,[],[not_simplification:[bind(X,$fot(and(d2,f1)))]]) ).
cnf(refute_0_2431,plain,
not(and(f1,d2)) = or(b2,not(f1)),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(f1))]]) ).
cnf(refute_0_2432,plain,
( not(and(f1,d2)) != or(b2,not(f1))
| not(f1) != i1
| not(and(f1,d2)) = or(b2,i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,d2)),or(b2,not(f1))) ),[1,1],$fot(i1)]]) ).
cnf(refute_0_2433,plain,
( not(and(f1,d2)) != or(b2,not(f1))
| not(and(f1,d2)) = or(b2,i1) ),
inference(resolve,[$cnf( $equal(not(f1),i1) )],[refute_0_10,refute_0_2432]) ).
cnf(refute_0_2434,plain,
not(and(f1,d2)) = or(b2,i1),
inference(resolve,[$cnf( $equal(not(and(f1,d2)),or(b2,not(f1))) )],[refute_0_2431,refute_0_2433]) ).
cnf(refute_0_2435,plain,
not(and(f1,d2)) = not(and(d2,f1)),
inference(subst,[],[refute_0_338:[bind(X_112,$fot(f1))]]) ).
cnf(refute_0_2436,plain,
( not(and(f1,d2)) != not(and(d2,f1))
| not(and(f1,d2)) != or(b2,i1)
| not(and(d2,f1)) = or(b2,i1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,d2)),or(b2,i1)) ),[0],$fot(not(and(d2,f1)))]]) ).
cnf(refute_0_2437,plain,
( not(and(f1,d2)) != or(b2,i1)
| not(and(d2,f1)) = or(b2,i1) ),
inference(resolve,[$cnf( $equal(not(and(f1,d2)),not(and(d2,f1))) )],[refute_0_2435,refute_0_2436]) ).
cnf(refute_0_2438,plain,
not(and(d2,f1)) = or(b2,i1),
inference(resolve,[$cnf( $equal(not(and(f1,d2)),or(b2,i1)) )],[refute_0_2434,refute_0_2437]) ).
cnf(refute_0_2439,plain,
( not(and(d2,f1)) != or(b2,i1)
| not(not(and(d2,f1))) != and(d2,f1)
| not(or(b2,i1)) = and(d2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(d2,f1))),and(d2,f1)) ),[0,0],$fot(or(b2,i1))]]) ).
cnf(refute_0_2440,plain,
( not(not(and(d2,f1))) != and(d2,f1)
| not(or(b2,i1)) = and(d2,f1) ),
inference(resolve,[$cnf( $equal(not(and(d2,f1)),or(b2,i1)) )],[refute_0_2438,refute_0_2439]) ).
cnf(refute_0_2441,plain,
not(or(b2,i1)) = and(d2,f1),
inference(resolve,[$cnf( $equal(not(not(and(d2,f1))),and(d2,f1)) )],[refute_0_2430,refute_0_2440]) ).
cnf(refute_0_2442,plain,
( not(and(or(b2,i1),i1)) != or(f1,not(or(b2,i1)))
| not(or(b2,i1)) != and(d2,f1)
| not(and(or(b2,i1),i1)) = or(f1,and(d2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b2,i1),i1)),or(f1,not(or(b2,i1)))) ),[1,1],$fot(and(d2,f1))]]) ).
cnf(refute_0_2443,plain,
( not(and(or(b2,i1),i1)) != or(f1,not(or(b2,i1)))
| not(and(or(b2,i1),i1)) = or(f1,and(d2,f1)) ),
inference(resolve,[$cnf( $equal(not(or(b2,i1)),and(d2,f1)) )],[refute_0_2441,refute_0_2442]) ).
cnf(refute_0_2444,plain,
not(and(or(b2,i1),i1)) = or(f1,and(d2,f1)),
inference(resolve,[$cnf( $equal(not(and(or(b2,i1),i1)),or(f1,not(or(b2,i1)))) )],[refute_0_2429,refute_0_2443]) ).
cnf(refute_0_2445,plain,
not(and(or(b2,i1),i1)) = not(and(i1,or(b2,i1))),
inference(subst,[],[refute_0_1000:[bind(X_114,$fot(or(b2,i1)))]]) ).
cnf(refute_0_2446,plain,
( not(and(or(b2,i1),i1)) != not(and(i1,or(b2,i1)))
| not(and(or(b2,i1),i1)) != or(f1,and(d2,f1))
| not(and(i1,or(b2,i1))) = or(f1,and(d2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b2,i1),i1)),or(f1,and(d2,f1))) ),[0],$fot(not(and(i1,or(b2,i1))))]]) ).
cnf(refute_0_2447,plain,
( not(and(or(b2,i1),i1)) != or(f1,and(d2,f1))
| not(and(i1,or(b2,i1))) = or(f1,and(d2,f1)) ),
inference(resolve,[$cnf( $equal(not(and(or(b2,i1),i1)),not(and(i1,or(b2,i1)))) )],[refute_0_2445,refute_0_2446]) ).
cnf(refute_0_2448,plain,
or(and(d2,X_21),or(and(X_21,b2),and(d2,X_21))) = or(and(d2,X_21),and(X_21,b2)),
inference(subst,[],[refute_0_345:[bind(X,$fot(and(d2,X_21))),bind(Y,$fot(and(X_21,b2)))]]) ).
cnf(refute_0_2449,plain,
or(and(X_21,b2),and(d2,X_21)) = or(and(d2,X_21),and(X_21,b2)),
inference(subst,[],[or_commutativity:[bind(X,$fot(and(X_21,b2))),bind(Y,$fot(and(d2,X_21)))]]) ).
cnf(refute_0_2450,plain,
or(and(d2,X_14),and(X_14,not(d2))) = X_14,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d2)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_2451,plain,
( not(d2) != b2
| or(and(d2,X_14),and(X_14,not(d2))) != X_14
| or(and(d2,X_14),and(X_14,b2)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d2,X_14),and(X_14,not(d2))),X_14) ),[0,1,1],$fot(b2)]]) ).
cnf(refute_0_2452,plain,
( or(and(d2,X_14),and(X_14,not(d2))) != X_14
| or(and(d2,X_14),and(X_14,b2)) = X_14 ),
inference(resolve,[$cnf( $equal(not(d2),b2) )],[refute_0_310,refute_0_2451]) ).
cnf(refute_0_2453,plain,
or(and(d2,X_14),and(X_14,b2)) = X_14,
inference(resolve,[$cnf( $equal(or(and(d2,X_14),and(X_14,not(d2))),X_14) )],[refute_0_2450,refute_0_2452]) ).
cnf(refute_0_2454,plain,
or(and(d2,X_21),and(X_21,b2)) = X_21,
inference(subst,[],[refute_0_2453:[bind(X_14,$fot(X_21))]]) ).
cnf(refute_0_2455,plain,
( or(and(X_21,b2),and(d2,X_21)) != or(and(d2,X_21),and(X_21,b2))
| or(and(d2,X_21),and(X_21,b2)) != X_21
| or(and(X_21,b2),and(d2,X_21)) = X_21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X_21,b2),and(d2,X_21)),X_21) ),[0],$fot(or(and(d2,X_21),and(X_21,b2)))]]) ).
cnf(refute_0_2456,plain,
( or(and(X_21,b2),and(d2,X_21)) != or(and(d2,X_21),and(X_21,b2))
| or(and(X_21,b2),and(d2,X_21)) = X_21 ),
inference(resolve,[$cnf( $equal(or(and(d2,X_21),and(X_21,b2)),X_21) )],[refute_0_2454,refute_0_2455]) ).
cnf(refute_0_2457,plain,
or(and(X_21,b2),and(d2,X_21)) = X_21,
inference(resolve,[$cnf( $equal(or(and(X_21,b2),and(d2,X_21)),or(and(d2,X_21),and(X_21,b2))) )],[refute_0_2449,refute_0_2456]) ).
cnf(refute_0_2458,plain,
( or(and(X_21,b2),and(d2,X_21)) != X_21
| or(and(d2,X_21),or(and(X_21,b2),and(d2,X_21))) != or(and(d2,X_21),and(X_21,b2))
| or(and(d2,X_21),X_21) = or(and(d2,X_21),and(X_21,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d2,X_21),or(and(X_21,b2),and(d2,X_21))),or(and(d2,X_21),and(X_21,b2))) ),[0,1],$fot(X_21)]]) ).
cnf(refute_0_2459,plain,
( or(and(d2,X_21),or(and(X_21,b2),and(d2,X_21))) != or(and(d2,X_21),and(X_21,b2))
| or(and(d2,X_21),X_21) = or(and(d2,X_21),and(X_21,b2)) ),
inference(resolve,[$cnf( $equal(or(and(X_21,b2),and(d2,X_21)),X_21) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
or(and(d2,X_21),X_21) = or(and(d2,X_21),and(X_21,b2)),
inference(resolve,[$cnf( $equal(or(and(d2,X_21),or(and(X_21,b2),and(d2,X_21))),or(and(d2,X_21),and(X_21,b2))) )],[refute_0_2448,refute_0_2459]) ).
cnf(refute_0_2461,plain,
or(and(d2,X_21),X_21) = or(X_21,and(d2,X_21)),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_21)),bind(Y,$fot(and(d2,X_21)))]]) ).
cnf(refute_0_2462,plain,
( or(and(d2,X_21),X_21) != or(X_21,and(d2,X_21))
| or(and(d2,X_21),X_21) != or(and(d2,X_21),and(X_21,b2))
| or(X_21,and(d2,X_21)) = or(and(d2,X_21),and(X_21,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d2,X_21),X_21),or(and(d2,X_21),and(X_21,b2))) ),[0],$fot(or(X_21,and(d2,X_21)))]]) ).
cnf(refute_0_2463,plain,
( or(and(d2,X_21),X_21) != or(and(d2,X_21),and(X_21,b2))
| or(X_21,and(d2,X_21)) = or(and(d2,X_21),and(X_21,b2)) ),
inference(resolve,[$cnf( $equal(or(and(d2,X_21),X_21),or(X_21,and(d2,X_21))) )],[refute_0_2461,refute_0_2462]) ).
cnf(refute_0_2464,plain,
( or(X_21,and(d2,X_21)) != or(and(d2,X_21),and(X_21,b2))
| or(and(d2,X_21),and(X_21,b2)) != X_21
| or(X_21,and(d2,X_21)) = X_21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X_21,and(d2,X_21)),X_21) ),[0],$fot(or(and(d2,X_21),and(X_21,b2)))]]) ).
cnf(refute_0_2465,plain,
( or(X_21,and(d2,X_21)) != or(and(d2,X_21),and(X_21,b2))
| or(X_21,and(d2,X_21)) = X_21 ),
inference(resolve,[$cnf( $equal(or(and(d2,X_21),and(X_21,b2)),X_21) )],[refute_0_2454,refute_0_2464]) ).
cnf(refute_0_2466,plain,
( or(and(d2,X_21),X_21) != or(and(d2,X_21),and(X_21,b2))
| or(X_21,and(d2,X_21)) = X_21 ),
inference(resolve,[$cnf( $equal(or(X_21,and(d2,X_21)),or(and(d2,X_21),and(X_21,b2))) )],[refute_0_2463,refute_0_2465]) ).
cnf(refute_0_2467,plain,
or(X_21,and(d2,X_21)) = X_21,
inference(resolve,[$cnf( $equal(or(and(d2,X_21),X_21),or(and(d2,X_21),and(X_21,b2))) )],[refute_0_2460,refute_0_2466]) ).
cnf(refute_0_2468,plain,
or(f1,and(d2,f1)) = f1,
inference(subst,[],[refute_0_2467:[bind(X_21,$fot(f1))]]) ).
cnf(refute_0_2469,plain,
( not(and(i1,or(b2,i1))) != or(f1,and(d2,f1))
| or(f1,and(d2,f1)) != f1
| not(and(i1,or(b2,i1))) = f1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(i1,or(b2,i1))),f1) ),[0],$fot(or(f1,and(d2,f1)))]]) ).
cnf(refute_0_2470,plain,
( not(and(i1,or(b2,i1))) != or(f1,and(d2,f1))
| not(and(i1,or(b2,i1))) = f1 ),
inference(resolve,[$cnf( $equal(or(f1,and(d2,f1)),f1) )],[refute_0_2468,refute_0_2469]) ).
cnf(refute_0_2471,plain,
( not(and(or(b2,i1),i1)) != or(f1,and(d2,f1))
| not(and(i1,or(b2,i1))) = f1 ),
inference(resolve,[$cnf( $equal(not(and(i1,or(b2,i1))),or(f1,and(d2,f1))) )],[refute_0_2447,refute_0_2470]) ).
cnf(refute_0_2472,plain,
not(and(i1,or(b2,i1))) = f1,
inference(resolve,[$cnf( $equal(not(and(or(b2,i1),i1)),or(f1,and(d2,f1))) )],[refute_0_2444,refute_0_2471]) ).
cnf(refute_0_2473,plain,
or(b2,i1) = or(b2,i1),
introduced(tautology,[refl,[$fot(or(b2,i1))]]) ).
cnf(refute_0_2474,plain,
( i1 != c1
| or(b2,i1) != or(b2,i1)
| or(b2,i1) = or(b2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(or(b2,i1),or(b2,i1)) ),[1,1],$fot(c1)]]) ).
cnf(refute_0_2475,plain,
( i1 != c1
| or(b2,i1) = or(b2,c1) ),
inference(resolve,[$cnf( $equal(or(b2,i1),or(b2,i1)) )],[refute_0_2473,refute_0_2474]) ).
cnf(refute_0_2476,plain,
or(b2,i1) = or(b2,c1),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_2475]) ).
cnf(refute_0_2477,plain,
and(c1,or(b2,i1)) = and(c1,or(b2,i1)),
introduced(tautology,[refl,[$fot(and(c1,or(b2,i1)))]]) ).
cnf(refute_0_2478,plain,
( and(c1,or(b2,i1)) != and(c1,or(b2,i1))
| or(b2,i1) != or(b2,c1)
| and(c1,or(b2,i1)) = and(c1,or(b2,c1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,or(b2,i1)),and(c1,or(b2,i1))) ),[1,1],$fot(or(b2,c1))]]) ).
cnf(refute_0_2479,plain,
( or(b2,i1) != or(b2,c1)
| and(c1,or(b2,i1)) = and(c1,or(b2,c1)) ),
inference(resolve,[$cnf( $equal(and(c1,or(b2,i1)),and(c1,or(b2,i1))) )],[refute_0_2477,refute_0_2478]) ).
cnf(refute_0_2480,plain,
and(c1,or(b2,i1)) = and(c1,or(b2,c1)),
inference(resolve,[$cnf( $equal(or(b2,i1),or(b2,c1)) )],[refute_0_2476,refute_0_2479]) ).
cnf(refute_0_2481,plain,
and(i1,or(b2,i1)) = and(i1,or(b2,i1)),
introduced(tautology,[refl,[$fot(and(i1,or(b2,i1)))]]) ).
cnf(refute_0_2482,plain,
( and(i1,or(b2,i1)) != and(i1,or(b2,i1))
| i1 != c1
| and(i1,or(b2,i1)) = and(c1,or(b2,i1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,or(b2,i1)),and(i1,or(b2,i1))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_2483,plain,
( i1 != c1
| and(i1,or(b2,i1)) = and(c1,or(b2,i1)) ),
inference(resolve,[$cnf( $equal(and(i1,or(b2,i1)),and(i1,or(b2,i1))) )],[refute_0_2481,refute_0_2482]) ).
cnf(refute_0_2484,plain,
and(i1,or(b2,i1)) = and(c1,or(b2,i1)),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_2483]) ).
cnf(refute_0_2485,plain,
( and(c1,or(b2,i1)) != and(c1,or(b2,c1))
| and(i1,or(b2,i1)) != and(c1,or(b2,i1))
| and(i1,or(b2,i1)) = and(c1,or(b2,c1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i1,or(b2,i1)))),bind(Y0,$fot(and(c1,or(b2,i1)))),bind(Z0,$fot(and(c1,or(b2,c1))))]]) ).
cnf(refute_0_2486,plain,
( and(c1,or(b2,i1)) != and(c1,or(b2,c1))
| and(i1,or(b2,i1)) = and(c1,or(b2,c1)) ),
inference(resolve,[$cnf( $equal(and(i1,or(b2,i1)),and(c1,or(b2,i1))) )],[refute_0_2484,refute_0_2485]) ).
cnf(refute_0_2487,plain,
and(i1,or(b2,i1)) = and(c1,or(b2,c1)),
inference(resolve,[$cnf( $equal(and(c1,or(b2,i1)),and(c1,or(b2,c1))) )],[refute_0_2480,refute_0_2486]) ).
cnf(refute_0_2488,plain,
not(and(i1,or(b2,i1))) = not(and(i1,or(b2,i1))),
introduced(tautology,[refl,[$fot(not(and(i1,or(b2,i1))))]]) ).
cnf(refute_0_2489,plain,
( and(i1,or(b2,i1)) != and(c1,or(b2,c1))
| not(and(i1,or(b2,i1))) != not(and(i1,or(b2,i1)))
| not(and(i1,or(b2,i1))) = not(and(c1,or(b2,c1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,or(b2,i1))),not(and(i1,or(b2,i1)))) ),[1,0],$fot(and(c1,or(b2,c1)))]]) ).
cnf(refute_0_2490,plain,
( and(i1,or(b2,i1)) != and(c1,or(b2,c1))
| not(and(i1,or(b2,i1))) = not(and(c1,or(b2,c1))) ),
inference(resolve,[$cnf( $equal(not(and(i1,or(b2,i1))),not(and(i1,or(b2,i1)))) )],[refute_0_2488,refute_0_2489]) ).
cnf(refute_0_2491,plain,
not(and(i1,or(b2,i1))) = not(and(c1,or(b2,c1))),
inference(resolve,[$cnf( $equal(and(i1,or(b2,i1)),and(c1,or(b2,c1))) )],[refute_0_2487,refute_0_2490]) ).
cnf(refute_0_2492,plain,
( not(and(i1,or(b2,i1))) != f1
| not(and(i1,or(b2,i1))) != not(and(c1,or(b2,c1)))
| not(and(c1,or(b2,c1))) = f1 ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,or(b2,i1))),f1) ),[0],$fot(not(and(c1,or(b2,c1))))]]) ).
cnf(refute_0_2493,plain,
( not(and(i1,or(b2,i1))) != f1
| not(and(c1,or(b2,c1))) = f1 ),
inference(resolve,[$cnf( $equal(not(and(i1,or(b2,i1))),not(and(c1,or(b2,c1)))) )],[refute_0_2491,refute_0_2492]) ).
cnf(refute_0_2494,plain,
not(and(c1,or(b2,c1))) = f1,
inference(resolve,[$cnf( $equal(not(and(i1,or(b2,i1))),f1) )],[refute_0_2472,refute_0_2493]) ).
cnf(refute_0_2495,plain,
( not(and(c1,or(b2,c1))) != f1
| not(not(and(c1,or(b2,c1)))) != and(c1,or(b2,c1))
| not(f1) = and(c1,or(b2,c1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(c1,or(b2,c1)))),and(c1,or(b2,c1))) ),[0,0],$fot(f1)]]) ).
cnf(refute_0_2496,plain,
( not(not(and(c1,or(b2,c1)))) != and(c1,or(b2,c1))
| not(f1) = and(c1,or(b2,c1)) ),
inference(resolve,[$cnf( $equal(not(and(c1,or(b2,c1))),f1) )],[refute_0_2494,refute_0_2495]) ).
cnf(refute_0_2497,plain,
not(f1) = and(c1,or(b2,c1)),
inference(resolve,[$cnf( $equal(not(not(and(c1,or(b2,c1)))),and(c1,or(b2,c1))) )],[refute_0_2428,refute_0_2496]) ).
cnf(refute_0_2498,plain,
( not(f1) != and(c1,or(b2,c1))
| not(f1) != c1
| c1 = and(c1,or(b2,c1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(f1),and(c1,or(b2,c1))) ),[0],$fot(c1)]]) ).
cnf(refute_0_2499,plain,
( not(f1) != and(c1,or(b2,c1))
| c1 = and(c1,or(b2,c1)) ),
inference(resolve,[$cnf( $equal(not(f1),c1) )],[refute_0_602,refute_0_2498]) ).
cnf(refute_0_2500,plain,
c1 = and(c1,or(b2,c1)),
inference(resolve,[$cnf( $equal(not(f1),and(c1,or(b2,c1))) )],[refute_0_2497,refute_0_2499]) ).
cnf(refute_0_2501,plain,
and(c1,b2) = and(b2,c1),
inference(subst,[],[refute_0_129:[bind(X,$fot(b2)),bind(Y,$fot(c1))]]) ).
cnf(refute_0_2502,plain,
( not(and(d2,f1)) != or(b2,i1)
| or(b2,i1) != or(b2,c1)
| not(and(d2,f1)) = or(b2,c1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d2,f1)),or(b2,c1)) ),[0],$fot(or(b2,i1))]]) ).
cnf(refute_0_2503,plain,
( not(and(d2,f1)) != or(b2,i1)
| not(and(d2,f1)) = or(b2,c1) ),
inference(resolve,[$cnf( $equal(or(b2,i1),or(b2,c1)) )],[refute_0_2476,refute_0_2502]) ).
cnf(refute_0_2504,plain,
not(and(d2,f1)) = or(b2,c1),
inference(resolve,[$cnf( $equal(not(and(d2,f1)),or(b2,i1)) )],[refute_0_2438,refute_0_2503]) ).
cnf(refute_0_2505,plain,
or(and(c1,and(d2,or(b2,f1))),and(and(d2,or(b2,f1)),not(c1))) = and(d2,or(b2,f1)),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(c1)),bind(Y,$fot(and(d2,or(b2,f1))))]]) ).
cnf(refute_0_2506,plain,
and(and(c1,d2),not(and(c1,d2))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(c1,d2)))]]) ).
cnf(refute_0_2507,plain,
not(and(i1,d2)) = or(b2,not(i1)),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(i1))]]) ).
cnf(refute_0_2508,plain,
( not(and(i1,d2)) != or(b2,not(i1))
| not(i1) != f1
| not(and(i1,d2)) = or(b2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,d2)),or(b2,not(i1))) ),[1,1],$fot(f1)]]) ).
cnf(refute_0_2509,plain,
( not(and(i1,d2)) != or(b2,not(i1))
| not(and(i1,d2)) = or(b2,f1) ),
inference(resolve,[$cnf( $equal(not(i1),f1) )],[refute_0_7,refute_0_2508]) ).
cnf(refute_0_2510,plain,
not(and(i1,d2)) = or(b2,f1),
inference(resolve,[$cnf( $equal(not(and(i1,d2)),or(b2,not(i1))) )],[refute_0_2507,refute_0_2509]) ).
cnf(refute_0_2511,plain,
not(and(i1,d2)) = not(and(d2,i1)),
inference(subst,[],[refute_0_338:[bind(X_112,$fot(i1))]]) ).
cnf(refute_0_2512,plain,
( not(and(i1,d2)) != not(and(d2,i1))
| not(and(i1,d2)) != or(b2,f1)
| not(and(d2,i1)) = or(b2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,d2)),or(b2,f1)) ),[0],$fot(not(and(d2,i1)))]]) ).
cnf(refute_0_2513,plain,
( not(and(i1,d2)) != or(b2,f1)
| not(and(d2,i1)) = or(b2,f1) ),
inference(resolve,[$cnf( $equal(not(and(i1,d2)),not(and(d2,i1))) )],[refute_0_2511,refute_0_2512]) ).
cnf(refute_0_2514,plain,
not(and(d2,i1)) = or(b2,f1),
inference(resolve,[$cnf( $equal(not(and(i1,d2)),or(b2,f1)) )],[refute_0_2510,refute_0_2513]) ).
cnf(refute_0_2515,plain,
and(d2,c1) = and(c1,d2),
inference(subst,[],[refute_0_129:[bind(X,$fot(c1)),bind(Y,$fot(d2))]]) ).
cnf(refute_0_2516,plain,
and(d2,i1) = and(d2,i1),
introduced(tautology,[refl,[$fot(and(d2,i1))]]) ).
cnf(refute_0_2517,plain,
( and(d2,i1) != and(d2,i1)
| i1 != c1
| and(d2,i1) = and(d2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,i1),and(d2,i1)) ),[1,1],$fot(c1)]]) ).
cnf(refute_0_2518,plain,
( i1 != c1
| and(d2,i1) = and(d2,c1) ),
inference(resolve,[$cnf( $equal(and(d2,i1),and(d2,i1)) )],[refute_0_2516,refute_0_2517]) ).
cnf(refute_0_2519,plain,
and(d2,i1) = and(d2,c1),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_2518]) ).
cnf(refute_0_2520,plain,
( and(d2,c1) != and(c1,d2)
| and(d2,i1) != and(d2,c1)
| and(d2,i1) = and(c1,d2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(d2,i1))),bind(Y0,$fot(and(d2,c1))),bind(Z0,$fot(and(c1,d2)))]]) ).
cnf(refute_0_2521,plain,
( and(d2,c1) != and(c1,d2)
| and(d2,i1) = and(c1,d2) ),
inference(resolve,[$cnf( $equal(and(d2,i1),and(d2,c1)) )],[refute_0_2519,refute_0_2520]) ).
cnf(refute_0_2522,plain,
and(d2,i1) = and(c1,d2),
inference(resolve,[$cnf( $equal(and(d2,c1),and(c1,d2)) )],[refute_0_2515,refute_0_2521]) ).
cnf(refute_0_2523,plain,
not(and(d2,i1)) = not(and(d2,i1)),
introduced(tautology,[refl,[$fot(not(and(d2,i1)))]]) ).
cnf(refute_0_2524,plain,
( and(d2,i1) != and(c1,d2)
| not(and(d2,i1)) != not(and(d2,i1))
| not(and(d2,i1)) = not(and(c1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,i1)),not(and(d2,i1))) ),[1,0],$fot(and(c1,d2))]]) ).
cnf(refute_0_2525,plain,
( and(d2,i1) != and(c1,d2)
| not(and(d2,i1)) = not(and(c1,d2)) ),
inference(resolve,[$cnf( $equal(not(and(d2,i1)),not(and(d2,i1))) )],[refute_0_2523,refute_0_2524]) ).
cnf(refute_0_2526,plain,
not(and(d2,i1)) = not(and(c1,d2)),
inference(resolve,[$cnf( $equal(and(d2,i1),and(c1,d2)) )],[refute_0_2522,refute_0_2525]) ).
cnf(refute_0_2527,plain,
( not(and(d2,i1)) != not(and(c1,d2))
| not(and(d2,i1)) != or(b2,f1)
| not(and(c1,d2)) = or(b2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,i1)),or(b2,f1)) ),[0],$fot(not(and(c1,d2)))]]) ).
cnf(refute_0_2528,plain,
( not(and(d2,i1)) != or(b2,f1)
| not(and(c1,d2)) = or(b2,f1) ),
inference(resolve,[$cnf( $equal(not(and(d2,i1)),not(and(c1,d2))) )],[refute_0_2526,refute_0_2527]) ).
cnf(refute_0_2529,plain,
not(and(c1,d2)) = or(b2,f1),
inference(resolve,[$cnf( $equal(not(and(d2,i1)),or(b2,f1)) )],[refute_0_2514,refute_0_2528]) ).
cnf(refute_0_2530,plain,
( and(and(c1,d2),not(and(c1,d2))) != n0
| not(and(c1,d2)) != or(b2,f1)
| and(and(c1,d2),or(b2,f1)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(c1,d2),not(and(c1,d2))),n0) ),[0,1],$fot(or(b2,f1))]]) ).
cnf(refute_0_2531,plain,
( and(and(c1,d2),not(and(c1,d2))) != n0
| and(and(c1,d2),or(b2,f1)) = n0 ),
inference(resolve,[$cnf( $equal(not(and(c1,d2)),or(b2,f1)) )],[refute_0_2529,refute_0_2530]) ).
cnf(refute_0_2532,plain,
and(and(c1,d2),or(b2,f1)) = n0,
inference(resolve,[$cnf( $equal(and(and(c1,d2),not(and(c1,d2))),n0) )],[refute_0_2506,refute_0_2531]) ).
cnf(refute_0_2533,plain,
and(and(c1,d2),or(b2,f1)) = and(c1,and(d2,or(b2,f1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(c1)),bind(Y,$fot(d2)),bind(Z,$fot(or(b2,f1)))]]) ).
cnf(refute_0_2534,plain,
( and(and(c1,d2),or(b2,f1)) != and(c1,and(d2,or(b2,f1)))
| and(and(c1,d2),or(b2,f1)) != n0
| and(c1,and(d2,or(b2,f1))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(c1,d2),or(b2,f1)),n0) ),[0],$fot(and(c1,and(d2,or(b2,f1))))]]) ).
cnf(refute_0_2535,plain,
( and(and(c1,d2),or(b2,f1)) != n0
| and(c1,and(d2,or(b2,f1))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(c1,d2),or(b2,f1)),and(c1,and(d2,or(b2,f1)))) )],[refute_0_2533,refute_0_2534]) ).
cnf(refute_0_2536,plain,
and(c1,and(d2,or(b2,f1))) = n0,
inference(resolve,[$cnf( $equal(and(and(c1,d2),or(b2,f1)),n0) )],[refute_0_2532,refute_0_2535]) ).
cnf(refute_0_2537,plain,
( and(c1,and(d2,or(b2,f1))) != n0
| or(and(c1,and(d2,or(b2,f1))),and(and(d2,or(b2,f1)),not(c1))) != and(d2,or(b2,f1))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,or(b2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c1,and(d2,or(b2,f1))),and(and(d2,or(b2,f1)),not(c1))),and(d2,or(b2,f1))) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_2538,plain,
( or(and(c1,and(d2,or(b2,f1))),and(and(d2,or(b2,f1)),not(c1))) != and(d2,or(b2,f1))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,or(b2,f1)) ),
inference(resolve,[$cnf( $equal(and(c1,and(d2,or(b2,f1))),n0) )],[refute_0_2536,refute_0_2537]) ).
cnf(refute_0_2539,plain,
or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,or(b2,f1)),
inference(resolve,[$cnf( $equal(or(and(c1,and(d2,or(b2,f1))),and(and(d2,or(b2,f1)),not(c1))),and(d2,or(b2,f1))) )],[refute_0_2505,refute_0_2538]) ).
cnf(refute_0_2540,plain,
and(not(c1),or(b2,f1)) = and(not(c1),or(b2,f1)),
introduced(tautology,[refl,[$fot(and(not(c1),or(b2,f1)))]]) ).
cnf(refute_0_2541,plain,
( and(not(c1),or(b2,f1)) != and(not(c1),or(b2,f1))
| not(c1) != f1
| and(not(c1),or(b2,f1)) = and(f1,or(b2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(c1),or(b2,f1)),and(not(c1),or(b2,f1))) ),[1,0],$fot(f1)]]) ).
cnf(refute_0_2542,plain,
( not(c1) != f1
| and(not(c1),or(b2,f1)) = and(f1,or(b2,f1)) ),
inference(resolve,[$cnf( $equal(and(not(c1),or(b2,f1)),and(not(c1),or(b2,f1))) )],[refute_0_2540,refute_0_2541]) ).
cnf(refute_0_2543,plain,
and(not(c1),or(b2,f1)) = and(f1,or(b2,f1)),
inference(resolve,[$cnf( $equal(not(c1),f1) )],[refute_0_1066,refute_0_2542]) ).
cnf(refute_0_2544,plain,
and(d2,and(not(c1),or(b2,f1))) = and(d2,and(not(c1),or(b2,f1))),
introduced(tautology,[refl,[$fot(and(d2,and(not(c1),or(b2,f1))))]]) ).
cnf(refute_0_2545,plain,
( and(d2,and(not(c1),or(b2,f1))) != and(d2,and(not(c1),or(b2,f1)))
| and(not(c1),or(b2,f1)) != and(f1,or(b2,f1))
| and(d2,and(not(c1),or(b2,f1))) = and(d2,and(f1,or(b2,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(not(c1),or(b2,f1))),and(d2,and(not(c1),or(b2,f1)))) ),[1,1],$fot(and(f1,or(b2,f1)))]]) ).
cnf(refute_0_2546,plain,
( and(not(c1),or(b2,f1)) != and(f1,or(b2,f1))
| and(d2,and(not(c1),or(b2,f1))) = and(d2,and(f1,or(b2,f1))) ),
inference(resolve,[$cnf( $equal(and(d2,and(not(c1),or(b2,f1))),and(d2,and(not(c1),or(b2,f1)))) )],[refute_0_2544,refute_0_2545]) ).
cnf(refute_0_2547,plain,
and(d2,and(not(c1),or(b2,f1))) = and(d2,and(f1,or(b2,f1))),
inference(resolve,[$cnf( $equal(and(not(c1),or(b2,f1)),and(f1,or(b2,f1))) )],[refute_0_2543,refute_0_2546]) ).
cnf(refute_0_2548,plain,
and(d2,and(or(b2,f1),not(c1))) = and(d2,and(not(c1),or(b2,f1))),
inference(subst,[],[refute_0_944:[bind(X,$fot(d2)),bind(Y,$fot(not(c1))),bind(Z,$fot(or(b2,f1)))]]) ).
cnf(refute_0_2549,plain,
and(and(d2,or(b2,f1)),not(c1)) = and(d2,and(or(b2,f1),not(c1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(d2)),bind(Y,$fot(or(b2,f1))),bind(Z,$fot(not(c1)))]]) ).
cnf(refute_0_2550,plain,
( and(and(d2,or(b2,f1)),not(c1)) != and(d2,and(or(b2,f1),not(c1)))
| and(d2,and(or(b2,f1),not(c1))) != and(d2,and(not(c1),or(b2,f1)))
| and(and(d2,or(b2,f1)),not(c1)) = and(d2,and(not(c1),or(b2,f1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(d2,or(b2,f1)),not(c1)))),bind(Y0,$fot(and(d2,and(or(b2,f1),not(c1))))),bind(Z0,$fot(and(d2,and(not(c1),or(b2,f1)))))]]) ).
cnf(refute_0_2551,plain,
( and(d2,and(or(b2,f1),not(c1))) != and(d2,and(not(c1),or(b2,f1)))
| and(and(d2,or(b2,f1)),not(c1)) = and(d2,and(not(c1),or(b2,f1))) ),
inference(resolve,[$cnf( $equal(and(and(d2,or(b2,f1)),not(c1)),and(d2,and(or(b2,f1),not(c1)))) )],[refute_0_2549,refute_0_2550]) ).
cnf(refute_0_2552,plain,
and(and(d2,or(b2,f1)),not(c1)) = and(d2,and(not(c1),or(b2,f1))),
inference(resolve,[$cnf( $equal(and(d2,and(or(b2,f1),not(c1))),and(d2,and(not(c1),or(b2,f1)))) )],[refute_0_2548,refute_0_2551]) ).
cnf(refute_0_2553,plain,
or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(and(d2,or(b2,f1)),not(c1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(d2,or(b2,f1)),not(c1))))]]) ).
cnf(refute_0_2554,plain,
( and(and(d2,or(b2,f1)),not(c1)) != and(d2,and(not(c1),or(b2,f1)))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) != and(and(d2,or(b2,f1)),not(c1))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,and(not(c1),or(b2,f1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(d2,or(b2,f1)),not(c1))))),bind(Y0,$fot(and(and(d2,or(b2,f1)),not(c1)))),bind(Z0,$fot(and(d2,and(not(c1),or(b2,f1)))))]]) ).
cnf(refute_0_2555,plain,
( and(and(d2,or(b2,f1)),not(c1)) != and(d2,and(not(c1),or(b2,f1)))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,and(not(c1),or(b2,f1))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(d2,or(b2,f1)),not(c1))),and(and(d2,or(b2,f1)),not(c1))) )],[refute_0_2553,refute_0_2554]) ).
cnf(refute_0_2556,plain,
or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,and(not(c1),or(b2,f1))),
inference(resolve,[$cnf( $equal(and(and(d2,or(b2,f1)),not(c1)),and(d2,and(not(c1),or(b2,f1)))) )],[refute_0_2552,refute_0_2555]) ).
cnf(refute_0_2557,plain,
( and(d2,and(not(c1),or(b2,f1))) != and(d2,and(f1,or(b2,f1)))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) != and(d2,and(not(c1),or(b2,f1)))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,and(f1,or(b2,f1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(d2,or(b2,f1)),not(c1))))),bind(Y0,$fot(and(d2,and(not(c1),or(b2,f1))))),bind(Z0,$fot(and(d2,and(f1,or(b2,f1)))))]]) ).
cnf(refute_0_2558,plain,
( and(d2,and(not(c1),or(b2,f1))) != and(d2,and(f1,or(b2,f1)))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,and(f1,or(b2,f1))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(d2,or(b2,f1)),not(c1))),and(d2,and(not(c1),or(b2,f1)))) )],[refute_0_2556,refute_0_2557]) ).
cnf(refute_0_2559,plain,
or(n0,and(and(d2,or(b2,f1)),not(c1))) = and(d2,and(f1,or(b2,f1))),
inference(resolve,[$cnf( $equal(and(d2,and(not(c1),or(b2,f1))),and(d2,and(f1,or(b2,f1)))) )],[refute_0_2547,refute_0_2558]) ).
cnf(refute_0_2560,plain,
( or(n0,and(and(d2,or(b2,f1)),not(c1))) != and(d2,and(f1,or(b2,f1)))
| or(n0,and(and(d2,or(b2,f1)),not(c1))) != and(d2,or(b2,f1))
| and(d2,and(f1,or(b2,f1))) = and(d2,or(b2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(d2,or(b2,f1)),not(c1))),and(d2,or(b2,f1))) ),[0],$fot(and(d2,and(f1,or(b2,f1))))]]) ).
cnf(refute_0_2561,plain,
( or(n0,and(and(d2,or(b2,f1)),not(c1))) != and(d2,or(b2,f1))
| and(d2,and(f1,or(b2,f1))) = and(d2,or(b2,f1)) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(d2,or(b2,f1)),not(c1))),and(d2,and(f1,or(b2,f1)))) )],[refute_0_2559,refute_0_2560]) ).
cnf(refute_0_2562,plain,
and(d2,and(f1,or(b2,f1))) = and(d2,or(b2,f1)),
inference(resolve,[$cnf( $equal(or(n0,and(and(d2,or(b2,f1)),not(c1))),and(d2,or(b2,f1))) )],[refute_0_2539,refute_0_2561]) ).
cnf(refute_0_2563,plain,
not(not(and(f1,or(b2,f1)))) = and(f1,or(b2,f1)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(f1,or(b2,f1))))]]) ).
cnf(refute_0_2564,plain,
not(and(or(b2,f1),f1)) = or(c1,not(or(b2,f1))),
inference(subst,[],[refute_0_2309:[bind(X_109,$fot(or(b2,f1)))]]) ).
cnf(refute_0_2565,plain,
not(not(and(c1,d2))) = and(c1,d2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(c1,d2)))]]) ).
cnf(refute_0_2566,plain,
( not(and(c1,d2)) != or(b2,f1)
| not(not(and(c1,d2))) != and(c1,d2)
| not(or(b2,f1)) = and(c1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(c1,d2))),and(c1,d2)) ),[0,0],$fot(or(b2,f1))]]) ).
cnf(refute_0_2567,plain,
( not(not(and(c1,d2))) != and(c1,d2)
| not(or(b2,f1)) = and(c1,d2) ),
inference(resolve,[$cnf( $equal(not(and(c1,d2)),or(b2,f1)) )],[refute_0_2529,refute_0_2566]) ).
cnf(refute_0_2568,plain,
not(or(b2,f1)) = and(c1,d2),
inference(resolve,[$cnf( $equal(not(not(and(c1,d2))),and(c1,d2)) )],[refute_0_2565,refute_0_2567]) ).
cnf(refute_0_2569,plain,
( not(and(or(b2,f1),f1)) != or(c1,not(or(b2,f1)))
| not(or(b2,f1)) != and(c1,d2)
| not(and(or(b2,f1),f1)) = or(c1,and(c1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b2,f1),f1)),or(c1,not(or(b2,f1)))) ),[1,1],$fot(and(c1,d2))]]) ).
cnf(refute_0_2570,plain,
( not(and(or(b2,f1),f1)) != or(c1,not(or(b2,f1)))
| not(and(or(b2,f1),f1)) = or(c1,and(c1,d2)) ),
inference(resolve,[$cnf( $equal(not(or(b2,f1)),and(c1,d2)) )],[refute_0_2568,refute_0_2569]) ).
cnf(refute_0_2571,plain,
not(and(or(b2,f1),f1)) = or(c1,and(c1,d2)),
inference(resolve,[$cnf( $equal(not(and(or(b2,f1),f1)),or(c1,not(or(b2,f1)))) )],[refute_0_2564,refute_0_2570]) ).
cnf(refute_0_2572,plain,
not(and(or(b2,f1),f1)) = not(and(f1,or(b2,f1))),
inference(subst,[],[refute_0_2367:[bind(X_116,$fot(or(b2,f1)))]]) ).
cnf(refute_0_2573,plain,
( not(and(or(b2,f1),f1)) != not(and(f1,or(b2,f1)))
| not(and(or(b2,f1),f1)) != or(c1,and(c1,d2))
| not(and(f1,or(b2,f1))) = or(c1,and(c1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b2,f1),f1)),or(c1,and(c1,d2))) ),[0],$fot(not(and(f1,or(b2,f1))))]]) ).
cnf(refute_0_2574,plain,
( not(and(or(b2,f1),f1)) != or(c1,and(c1,d2))
| not(and(f1,or(b2,f1))) = or(c1,and(c1,d2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b2,f1),f1)),not(and(f1,or(b2,f1)))) )],[refute_0_2572,refute_0_2573]) ).
cnf(refute_0_2575,plain,
or(and(X_14,d2),or(and(b2,X_14),and(X_14,d2))) = or(and(X_14,d2),and(b2,X_14)),
inference(subst,[],[refute_0_345:[bind(X,$fot(and(X_14,d2))),bind(Y,$fot(and(b2,X_14)))]]) ).
cnf(refute_0_2576,plain,
or(and(b2,X_14),and(X_14,not(b2))) = X_14,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b2)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_2577,plain,
( not(b2) != d2
| or(and(b2,X_14),and(X_14,not(b2))) != X_14
| or(and(b2,X_14),and(X_14,d2)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b2,X_14),and(X_14,not(b2))),X_14) ),[0,1,1],$fot(d2)]]) ).
cnf(refute_0_2578,plain,
( or(and(b2,X_14),and(X_14,not(b2))) != X_14
| or(and(b2,X_14),and(X_14,d2)) = X_14 ),
inference(resolve,[$cnf( $equal(not(b2),d2) )],[refute_0_397,refute_0_2577]) ).
cnf(refute_0_2579,plain,
or(and(b2,X_14),and(X_14,d2)) = X_14,
inference(resolve,[$cnf( $equal(or(and(b2,X_14),and(X_14,not(b2))),X_14) )],[refute_0_2576,refute_0_2578]) ).
cnf(refute_0_2580,plain,
( or(and(X_14,d2),or(and(b2,X_14),and(X_14,d2))) != or(and(X_14,d2),and(b2,X_14))
| or(and(b2,X_14),and(X_14,d2)) != X_14
| or(and(X_14,d2),X_14) = or(and(X_14,d2),and(b2,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_14,d2),or(and(b2,X_14),and(X_14,d2))),or(and(X_14,d2),and(b2,X_14))) ),[0,1],$fot(X_14)]]) ).
cnf(refute_0_2581,plain,
( or(and(X_14,d2),or(and(b2,X_14),and(X_14,d2))) != or(and(X_14,d2),and(b2,X_14))
| or(and(X_14,d2),X_14) = or(and(X_14,d2),and(b2,X_14)) ),
inference(resolve,[$cnf( $equal(or(and(b2,X_14),and(X_14,d2)),X_14) )],[refute_0_2579,refute_0_2580]) ).
cnf(refute_0_2582,plain,
or(and(X_14,d2),X_14) = or(and(X_14,d2),and(b2,X_14)),
inference(resolve,[$cnf( $equal(or(and(X_14,d2),or(and(b2,X_14),and(X_14,d2))),or(and(X_14,d2),and(b2,X_14))) )],[refute_0_2575,refute_0_2581]) ).
cnf(refute_0_2583,plain,
or(and(X_14,d2),X_14) = or(X_14,and(X_14,d2)),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_14)),bind(Y,$fot(and(X_14,d2)))]]) ).
cnf(refute_0_2584,plain,
( or(and(X_14,d2),X_14) != or(X_14,and(X_14,d2))
| or(and(X_14,d2),X_14) != or(and(X_14,d2),and(b2,X_14))
| or(X_14,and(X_14,d2)) = or(and(X_14,d2),and(b2,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(X_14,d2),X_14),or(and(X_14,d2),and(b2,X_14))) ),[0],$fot(or(X_14,and(X_14,d2)))]]) ).
cnf(refute_0_2585,plain,
( or(and(X_14,d2),X_14) != or(and(X_14,d2),and(b2,X_14))
| or(X_14,and(X_14,d2)) = or(and(X_14,d2),and(b2,X_14)) ),
inference(resolve,[$cnf( $equal(or(and(X_14,d2),X_14),or(X_14,and(X_14,d2))) )],[refute_0_2583,refute_0_2584]) ).
cnf(refute_0_2586,plain,
or(and(X_29,d2),and(b2,X_29)) = or(and(b2,X_29),and(X_29,d2)),
inference(subst,[],[or_commutativity:[bind(X,$fot(and(X_29,d2))),bind(Y,$fot(and(b2,X_29)))]]) ).
cnf(refute_0_2587,plain,
or(and(b2,X_29),and(X_29,d2)) = X_29,
inference(subst,[],[refute_0_2579:[bind(X_14,$fot(X_29))]]) ).
cnf(refute_0_2588,plain,
( or(and(X_29,d2),and(b2,X_29)) != or(and(b2,X_29),and(X_29,d2))
| or(and(b2,X_29),and(X_29,d2)) != X_29
| or(and(X_29,d2),and(b2,X_29)) = X_29 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X_29,d2),and(b2,X_29)),X_29) ),[0],$fot(or(and(b2,X_29),and(X_29,d2)))]]) ).
cnf(refute_0_2589,plain,
( or(and(X_29,d2),and(b2,X_29)) != or(and(b2,X_29),and(X_29,d2))
| or(and(X_29,d2),and(b2,X_29)) = X_29 ),
inference(resolve,[$cnf( $equal(or(and(b2,X_29),and(X_29,d2)),X_29) )],[refute_0_2587,refute_0_2588]) ).
cnf(refute_0_2590,plain,
or(and(X_29,d2),and(b2,X_29)) = X_29,
inference(resolve,[$cnf( $equal(or(and(X_29,d2),and(b2,X_29)),or(and(b2,X_29),and(X_29,d2))) )],[refute_0_2586,refute_0_2589]) ).
cnf(refute_0_2591,plain,
or(and(X_14,d2),and(b2,X_14)) = X_14,
inference(subst,[],[refute_0_2590:[bind(X_29,$fot(X_14))]]) ).
cnf(refute_0_2592,plain,
( or(X_14,and(X_14,d2)) != or(and(X_14,d2),and(b2,X_14))
| or(and(X_14,d2),and(b2,X_14)) != X_14
| or(X_14,and(X_14,d2)) = X_14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X_14,and(X_14,d2)),X_14) ),[0],$fot(or(and(X_14,d2),and(b2,X_14)))]]) ).
cnf(refute_0_2593,plain,
( or(X_14,and(X_14,d2)) != or(and(X_14,d2),and(b2,X_14))
| or(X_14,and(X_14,d2)) = X_14 ),
inference(resolve,[$cnf( $equal(or(and(X_14,d2),and(b2,X_14)),X_14) )],[refute_0_2591,refute_0_2592]) ).
cnf(refute_0_2594,plain,
( or(and(X_14,d2),X_14) != or(and(X_14,d2),and(b2,X_14))
| or(X_14,and(X_14,d2)) = X_14 ),
inference(resolve,[$cnf( $equal(or(X_14,and(X_14,d2)),or(and(X_14,d2),and(b2,X_14))) )],[refute_0_2585,refute_0_2593]) ).
cnf(refute_0_2595,plain,
or(X_14,and(X_14,d2)) = X_14,
inference(resolve,[$cnf( $equal(or(and(X_14,d2),X_14),or(and(X_14,d2),and(b2,X_14))) )],[refute_0_2582,refute_0_2594]) ).
cnf(refute_0_2596,plain,
or(c1,and(c1,d2)) = c1,
inference(subst,[],[refute_0_2595:[bind(X_14,$fot(c1))]]) ).
cnf(refute_0_2597,plain,
( not(and(f1,or(b2,f1))) != or(c1,and(c1,d2))
| or(c1,and(c1,d2)) != c1
| not(and(f1,or(b2,f1))) = c1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f1,or(b2,f1))),c1) ),[0],$fot(or(c1,and(c1,d2)))]]) ).
cnf(refute_0_2598,plain,
( not(and(f1,or(b2,f1))) != or(c1,and(c1,d2))
| not(and(f1,or(b2,f1))) = c1 ),
inference(resolve,[$cnf( $equal(or(c1,and(c1,d2)),c1) )],[refute_0_2596,refute_0_2597]) ).
cnf(refute_0_2599,plain,
( not(and(or(b2,f1),f1)) != or(c1,and(c1,d2))
| not(and(f1,or(b2,f1))) = c1 ),
inference(resolve,[$cnf( $equal(not(and(f1,or(b2,f1))),or(c1,and(c1,d2))) )],[refute_0_2574,refute_0_2598]) ).
cnf(refute_0_2600,plain,
not(and(f1,or(b2,f1))) = c1,
inference(resolve,[$cnf( $equal(not(and(or(b2,f1),f1)),or(c1,and(c1,d2))) )],[refute_0_2571,refute_0_2599]) ).
cnf(refute_0_2601,plain,
( not(and(f1,or(b2,f1))) != c1
| not(not(and(f1,or(b2,f1)))) != and(f1,or(b2,f1))
| not(c1) = and(f1,or(b2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(f1,or(b2,f1)))),and(f1,or(b2,f1))) ),[0,0],$fot(c1)]]) ).
cnf(refute_0_2602,plain,
( not(not(and(f1,or(b2,f1)))) != and(f1,or(b2,f1))
| not(c1) = and(f1,or(b2,f1)) ),
inference(resolve,[$cnf( $equal(not(and(f1,or(b2,f1))),c1) )],[refute_0_2600,refute_0_2601]) ).
cnf(refute_0_2603,plain,
not(c1) = and(f1,or(b2,f1)),
inference(resolve,[$cnf( $equal(not(not(and(f1,or(b2,f1)))),and(f1,or(b2,f1))) )],[refute_0_2563,refute_0_2602]) ).
cnf(refute_0_2604,plain,
( not(c1) != and(f1,or(b2,f1))
| not(c1) != f1
| f1 = and(f1,or(b2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(c1),and(f1,or(b2,f1))) ),[0],$fot(f1)]]) ).
cnf(refute_0_2605,plain,
( not(c1) != and(f1,or(b2,f1))
| f1 = and(f1,or(b2,f1)) ),
inference(resolve,[$cnf( $equal(not(c1),f1) )],[refute_0_1066,refute_0_2604]) ).
cnf(refute_0_2606,plain,
f1 = and(f1,or(b2,f1)),
inference(resolve,[$cnf( $equal(not(c1),and(f1,or(b2,f1))) )],[refute_0_2603,refute_0_2605]) ).
cnf(refute_0_2607,plain,
( f1 != and(f1,or(b2,f1))
| and(f1,or(b2,f1)) = f1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(f1)),bind(Y0,$fot(and(f1,or(b2,f1))))]]) ).
cnf(refute_0_2608,plain,
and(f1,or(b2,f1)) = f1,
inference(resolve,[$cnf( $equal(f1,and(f1,or(b2,f1))) )],[refute_0_2606,refute_0_2607]) ).
cnf(refute_0_2609,plain,
and(d2,and(f1,or(b2,f1))) = and(d2,and(f1,or(b2,f1))),
introduced(tautology,[refl,[$fot(and(d2,and(f1,or(b2,f1))))]]) ).
cnf(refute_0_2610,plain,
( and(d2,and(f1,or(b2,f1))) != and(d2,and(f1,or(b2,f1)))
| and(f1,or(b2,f1)) != f1
| and(d2,and(f1,or(b2,f1))) = and(d2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(f1,or(b2,f1))),and(d2,and(f1,or(b2,f1)))) ),[1,1],$fot(f1)]]) ).
cnf(refute_0_2611,plain,
( and(f1,or(b2,f1)) != f1
| and(d2,and(f1,or(b2,f1))) = and(d2,f1) ),
inference(resolve,[$cnf( $equal(and(d2,and(f1,or(b2,f1))),and(d2,and(f1,or(b2,f1)))) )],[refute_0_2609,refute_0_2610]) ).
cnf(refute_0_2612,plain,
and(d2,and(f1,or(b2,f1))) = and(d2,f1),
inference(resolve,[$cnf( $equal(and(f1,or(b2,f1)),f1) )],[refute_0_2608,refute_0_2611]) ).
cnf(refute_0_2613,plain,
( and(d2,and(f1,or(b2,f1))) != and(d2,f1)
| and(d2,and(f1,or(b2,f1))) != and(d2,or(b2,f1))
| and(d2,f1) = and(d2,or(b2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(f1,or(b2,f1))),and(d2,or(b2,f1))) ),[0],$fot(and(d2,f1))]]) ).
cnf(refute_0_2614,plain,
( and(d2,and(f1,or(b2,f1))) != and(d2,or(b2,f1))
| and(d2,f1) = and(d2,or(b2,f1)) ),
inference(resolve,[$cnf( $equal(and(d2,and(f1,or(b2,f1))),and(d2,f1)) )],[refute_0_2612,refute_0_2613]) ).
cnf(refute_0_2615,plain,
and(d2,f1) = and(d2,or(b2,f1)),
inference(resolve,[$cnf( $equal(and(d2,and(f1,or(b2,f1))),and(d2,or(b2,f1))) )],[refute_0_2562,refute_0_2614]) ).
cnf(refute_0_2616,plain,
or(and(and(c1,d2),Y),and(Y,not(and(c1,d2)))) = Y,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(and(c1,d2)))]]) ).
cnf(refute_0_2617,plain,
( not(and(c1,d2)) != or(b2,f1)
| or(and(and(c1,d2),Y),and(Y,not(and(c1,d2)))) != Y
| or(and(and(c1,d2),Y),and(Y,or(b2,f1))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(c1,d2),Y),and(Y,not(and(c1,d2)))),Y) ),[0,1,1],$fot(or(b2,f1))]]) ).
cnf(refute_0_2618,plain,
( or(and(and(c1,d2),Y),and(Y,not(and(c1,d2)))) != Y
| or(and(and(c1,d2),Y),and(Y,or(b2,f1))) = Y ),
inference(resolve,[$cnf( $equal(not(and(c1,d2)),or(b2,f1)) )],[refute_0_2529,refute_0_2617]) ).
cnf(refute_0_2619,plain,
or(and(and(c1,d2),Y),and(Y,or(b2,f1))) = Y,
inference(resolve,[$cnf( $equal(or(and(and(c1,d2),Y),and(Y,not(and(c1,d2)))),Y) )],[refute_0_2616,refute_0_2618]) ).
cnf(refute_0_2620,plain,
and(and(c1,d2),Y) = and(c1,and(d2,Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(c1)),bind(Y,$fot(d2)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2621,plain,
or(and(and(c1,d2),Y),and(Y,or(b2,f1))) = or(and(and(c1,d2),Y),and(Y,or(b2,f1))),
introduced(tautology,[refl,[$fot(or(and(and(c1,d2),Y),and(Y,or(b2,f1))))]]) ).
cnf(refute_0_2622,plain,
( and(and(c1,d2),Y) != and(c1,and(d2,Y))
| or(and(and(c1,d2),Y),and(Y,or(b2,f1))) != or(and(and(c1,d2),Y),and(Y,or(b2,f1)))
| or(and(and(c1,d2),Y),and(Y,or(b2,f1))) = or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(c1,d2),Y),and(Y,or(b2,f1))),or(and(and(c1,d2),Y),and(Y,or(b2,f1)))) ),[1,0],$fot(and(c1,and(d2,Y)))]]) ).
cnf(refute_0_2623,plain,
( and(and(c1,d2),Y) != and(c1,and(d2,Y))
| or(and(and(c1,d2),Y),and(Y,or(b2,f1))) = or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) ),
inference(resolve,[$cnf( $equal(or(and(and(c1,d2),Y),and(Y,or(b2,f1))),or(and(and(c1,d2),Y),and(Y,or(b2,f1)))) )],[refute_0_2621,refute_0_2622]) ).
cnf(refute_0_2624,plain,
or(and(and(c1,d2),Y),and(Y,or(b2,f1))) = or(and(c1,and(d2,Y)),and(Y,or(b2,f1))),
inference(resolve,[$cnf( $equal(and(and(c1,d2),Y),and(c1,and(d2,Y))) )],[refute_0_2620,refute_0_2623]) ).
cnf(refute_0_2625,plain,
( or(and(and(c1,d2),Y),and(Y,or(b2,f1))) != Y
| or(and(and(c1,d2),Y),and(Y,or(b2,f1))) != or(and(c1,and(d2,Y)),and(Y,or(b2,f1)))
| or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(c1,d2),Y),and(Y,or(b2,f1))),Y) ),[0],$fot(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))))]]) ).
cnf(refute_0_2626,plain,
( or(and(and(c1,d2),Y),and(Y,or(b2,f1))) != Y
| or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = Y ),
inference(resolve,[$cnf( $equal(or(and(and(c1,d2),Y),and(Y,or(b2,f1))),or(and(c1,and(d2,Y)),and(Y,or(b2,f1)))) )],[refute_0_2624,refute_0_2625]) ).
cnf(refute_0_2627,plain,
or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = Y,
inference(resolve,[$cnf( $equal(or(and(and(c1,d2),Y),and(Y,or(b2,f1))),Y) )],[refute_0_2619,refute_0_2626]) ).
cnf(refute_0_2628,plain,
or(n0,and(Y,or(b2,f1))) = and(Y,or(b2,f1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(Y,or(b2,f1))))]]) ).
cnf(refute_0_2629,plain,
and(and(c1,and(d2,or(b1,b2))),and(Y,not(and(c1,and(d2,or(b1,b2)))))) = n0,
inference(subst,[],[refute_0_206:[bind(X,$fot(and(c1,and(d2,or(b1,b2)))))]]) ).
cnf(refute_0_2630,plain,
not(and(and(d2,or(b1,b2)),i1)) = or(f1,not(and(d2,or(b1,b2)))),
inference(subst,[],[refute_0_190:[bind(X_109,$fot(and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2631,plain,
not(and(or(b1,b2),d2)) = or(b2,not(or(b1,b2))),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(or(b1,b2)))]]) ).
cnf(refute_0_2632,plain,
not(not(and(d1,d2))) = and(d1,d2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(d1,d2)))]]) ).
cnf(refute_0_2633,plain,
not(and(d2,d1)) = or(b1,not(d2)),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(d2))]]) ).
cnf(refute_0_2634,plain,
( not(and(d2,d1)) != or(b1,not(d2))
| not(d2) != b2
| not(and(d2,d1)) = or(b1,b2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,d1)),or(b1,not(d2))) ),[1,1],$fot(b2)]]) ).
cnf(refute_0_2635,plain,
( not(and(d2,d1)) != or(b1,not(d2))
| not(and(d2,d1)) = or(b1,b2) ),
inference(resolve,[$cnf( $equal(not(d2),b2) )],[refute_0_310,refute_0_2634]) ).
cnf(refute_0_2636,plain,
not(and(d2,d1)) = or(b1,b2),
inference(resolve,[$cnf( $equal(not(and(d2,d1)),or(b1,not(d2))) )],[refute_0_2633,refute_0_2635]) ).
cnf(refute_0_2637,plain,
not(and(d2,d1)) = not(and(d1,d2)),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(d2))]]) ).
cnf(refute_0_2638,plain,
( not(and(d2,d1)) != not(and(d1,d2))
| not(and(d2,d1)) != or(b1,b2)
| not(and(d1,d2)) = or(b1,b2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,d1)),or(b1,b2)) ),[0],$fot(not(and(d1,d2)))]]) ).
cnf(refute_0_2639,plain,
( not(and(d2,d1)) != or(b1,b2)
| not(and(d1,d2)) = or(b1,b2) ),
inference(resolve,[$cnf( $equal(not(and(d2,d1)),not(and(d1,d2))) )],[refute_0_2637,refute_0_2638]) ).
cnf(refute_0_2640,plain,
not(and(d1,d2)) = or(b1,b2),
inference(resolve,[$cnf( $equal(not(and(d2,d1)),or(b1,b2)) )],[refute_0_2636,refute_0_2639]) ).
cnf(refute_0_2641,plain,
( not(and(d1,d2)) != or(b1,b2)
| not(not(and(d1,d2))) != and(d1,d2)
| not(or(b1,b2)) = and(d1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(d1,d2))),and(d1,d2)) ),[0,0],$fot(or(b1,b2))]]) ).
cnf(refute_0_2642,plain,
( not(not(and(d1,d2))) != and(d1,d2)
| not(or(b1,b2)) = and(d1,d2) ),
inference(resolve,[$cnf( $equal(not(and(d1,d2)),or(b1,b2)) )],[refute_0_2640,refute_0_2641]) ).
cnf(refute_0_2643,plain,
not(or(b1,b2)) = and(d1,d2),
inference(resolve,[$cnf( $equal(not(not(and(d1,d2))),and(d1,d2)) )],[refute_0_2632,refute_0_2642]) ).
cnf(refute_0_2644,plain,
( not(and(or(b1,b2),d2)) != or(b2,not(or(b1,b2)))
| not(or(b1,b2)) != and(d1,d2)
| not(and(or(b1,b2),d2)) = or(b2,and(d1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,b2),d2)),or(b2,not(or(b1,b2)))) ),[1,1],$fot(and(d1,d2))]]) ).
cnf(refute_0_2645,plain,
( not(and(or(b1,b2),d2)) != or(b2,not(or(b1,b2)))
| not(and(or(b1,b2),d2)) = or(b2,and(d1,d2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,b2)),and(d1,d2)) )],[refute_0_2643,refute_0_2644]) ).
cnf(refute_0_2646,plain,
not(and(or(b1,b2),d2)) = or(b2,and(d1,d2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,b2),d2)),or(b2,not(or(b1,b2)))) )],[refute_0_2631,refute_0_2645]) ).
cnf(refute_0_2647,plain,
not(and(or(b1,b2),d2)) = not(and(d2,or(b1,b2))),
inference(subst,[],[refute_0_338:[bind(X_112,$fot(or(b1,b2)))]]) ).
cnf(refute_0_2648,plain,
( not(and(or(b1,b2),d2)) != not(and(d2,or(b1,b2)))
| not(and(or(b1,b2),d2)) != or(b2,and(d1,d2))
| not(and(d2,or(b1,b2))) = or(b2,and(d1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,b2),d2)),or(b2,and(d1,d2))) ),[0],$fot(not(and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2649,plain,
( not(and(or(b1,b2),d2)) != or(b2,and(d1,d2))
| not(and(d2,or(b1,b2))) = or(b2,and(d1,d2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,b2),d2)),not(and(d2,or(b1,b2)))) )],[refute_0_2647,refute_0_2648]) ).
cnf(refute_0_2650,plain,
not(and(d2,or(b1,b2))) = or(b2,and(d1,d2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,b2),d2)),or(b2,and(d1,d2))) )],[refute_0_2646,refute_0_2649]) ).
cnf(refute_0_2651,plain,
( not(and(and(d2,or(b1,b2)),i1)) != or(f1,not(and(d2,or(b1,b2))))
| not(and(d2,or(b1,b2))) != or(b2,and(d1,d2))
| not(and(and(d2,or(b1,b2)),i1)) = or(f1,or(b2,and(d1,d2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d2,or(b1,b2)),i1)),or(f1,not(and(d2,or(b1,b2))))) ),[1,1],$fot(or(b2,and(d1,d2)))]]) ).
cnf(refute_0_2652,plain,
( not(and(and(d2,or(b1,b2)),i1)) != or(f1,not(and(d2,or(b1,b2))))
| not(and(and(d2,or(b1,b2)),i1)) = or(f1,or(b2,and(d1,d2))) ),
inference(resolve,[$cnf( $equal(not(and(d2,or(b1,b2))),or(b2,and(d1,d2))) )],[refute_0_2650,refute_0_2651]) ).
cnf(refute_0_2653,plain,
not(and(and(d2,or(b1,b2)),i1)) = or(f1,or(b2,and(d1,d2))),
inference(resolve,[$cnf( $equal(not(and(and(d2,or(b1,b2)),i1)),or(f1,not(and(d2,or(b1,b2))))) )],[refute_0_2630,refute_0_2652]) ).
cnf(refute_0_2654,plain,
not(and(and(d2,or(b1,b2)),i1)) = not(and(i1,and(d2,or(b1,b2)))),
inference(subst,[],[refute_0_1000:[bind(X_114,$fot(and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2655,plain,
( not(and(and(d2,or(b1,b2)),i1)) != not(and(i1,and(d2,or(b1,b2))))
| not(and(and(d2,or(b1,b2)),i1)) != or(f1,or(b2,and(d1,d2)))
| not(and(i1,and(d2,or(b1,b2)))) = or(f1,or(b2,and(d1,d2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d2,or(b1,b2)),i1)),or(f1,or(b2,and(d1,d2)))) ),[0],$fot(not(and(i1,and(d2,or(b1,b2)))))]]) ).
cnf(refute_0_2656,plain,
( not(and(and(d2,or(b1,b2)),i1)) != or(f1,or(b2,and(d1,d2)))
| not(and(i1,and(d2,or(b1,b2)))) = or(f1,or(b2,and(d1,d2))) ),
inference(resolve,[$cnf( $equal(not(and(and(d2,or(b1,b2)),i1)),not(and(i1,and(d2,or(b1,b2))))) )],[refute_0_2654,refute_0_2655]) ).
cnf(refute_0_2657,plain,
not(and(i1,and(d2,or(b1,b2)))) = or(f1,or(b2,and(d1,d2))),
inference(resolve,[$cnf( $equal(not(and(and(d2,or(b1,b2)),i1)),or(f1,or(b2,and(d1,d2)))) )],[refute_0_2653,refute_0_2656]) ).
cnf(refute_0_2658,plain,
and(i1,and(d2,or(b1,b2))) = and(i1,and(d2,or(b1,b2))),
introduced(tautology,[refl,[$fot(and(i1,and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2659,plain,
( and(i1,and(d2,or(b1,b2))) != and(i1,and(d2,or(b1,b2)))
| i1 != c1
| and(i1,and(d2,or(b1,b2))) = and(c1,and(d2,or(b1,b2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,and(d2,or(b1,b2))),and(i1,and(d2,or(b1,b2)))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_2660,plain,
( i1 != c1
| and(i1,and(d2,or(b1,b2))) = and(c1,and(d2,or(b1,b2))) ),
inference(resolve,[$cnf( $equal(and(i1,and(d2,or(b1,b2))),and(i1,and(d2,or(b1,b2)))) )],[refute_0_2658,refute_0_2659]) ).
cnf(refute_0_2661,plain,
and(i1,and(d2,or(b1,b2))) = and(c1,and(d2,or(b1,b2))),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_2660]) ).
cnf(refute_0_2662,plain,
not(and(i1,and(d2,or(b1,b2)))) = not(and(i1,and(d2,or(b1,b2)))),
introduced(tautology,[refl,[$fot(not(and(i1,and(d2,or(b1,b2)))))]]) ).
cnf(refute_0_2663,plain,
( and(i1,and(d2,or(b1,b2))) != and(c1,and(d2,or(b1,b2)))
| not(and(i1,and(d2,or(b1,b2)))) != not(and(i1,and(d2,or(b1,b2))))
| not(and(i1,and(d2,or(b1,b2)))) = not(and(c1,and(d2,or(b1,b2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,and(d2,or(b1,b2)))),not(and(i1,and(d2,or(b1,b2))))) ),[1,0],$fot(and(c1,and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2664,plain,
( and(i1,and(d2,or(b1,b2))) != and(c1,and(d2,or(b1,b2)))
| not(and(i1,and(d2,or(b1,b2)))) = not(and(c1,and(d2,or(b1,b2)))) ),
inference(resolve,[$cnf( $equal(not(and(i1,and(d2,or(b1,b2)))),not(and(i1,and(d2,or(b1,b2))))) )],[refute_0_2662,refute_0_2663]) ).
cnf(refute_0_2665,plain,
not(and(i1,and(d2,or(b1,b2)))) = not(and(c1,and(d2,or(b1,b2)))),
inference(resolve,[$cnf( $equal(and(i1,and(d2,or(b1,b2))),and(c1,and(d2,or(b1,b2)))) )],[refute_0_2661,refute_0_2664]) ).
cnf(refute_0_2666,plain,
( not(and(i1,and(d2,or(b1,b2)))) != not(and(c1,and(d2,or(b1,b2))))
| not(and(i1,and(d2,or(b1,b2)))) != or(f1,or(b2,and(d1,d2)))
| not(and(c1,and(d2,or(b1,b2)))) = or(f1,or(b2,and(d1,d2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,and(d2,or(b1,b2)))),or(f1,or(b2,and(d1,d2)))) ),[0],$fot(not(and(c1,and(d2,or(b1,b2)))))]]) ).
cnf(refute_0_2667,plain,
( not(and(i1,and(d2,or(b1,b2)))) != or(f1,or(b2,and(d1,d2)))
| not(and(c1,and(d2,or(b1,b2)))) = or(f1,or(b2,and(d1,d2))) ),
inference(resolve,[$cnf( $equal(not(and(i1,and(d2,or(b1,b2)))),not(and(c1,and(d2,or(b1,b2))))) )],[refute_0_2665,refute_0_2666]) ).
cnf(refute_0_2668,plain,
not(and(c1,and(d2,or(b1,b2)))) = or(f1,or(b2,and(d1,d2))),
inference(resolve,[$cnf( $equal(not(and(i1,and(d2,or(b1,b2)))),or(f1,or(b2,and(d1,d2)))) )],[refute_0_2657,refute_0_2667]) ).
cnf(refute_0_2669,plain,
( and(and(c1,and(d2,or(b1,b2))),and(Y,not(and(c1,and(d2,or(b1,b2)))))) != n0
| not(and(c1,and(d2,or(b1,b2)))) != or(f1,or(b2,and(d1,d2)))
| and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(c1,and(d2,or(b1,b2))),and(Y,not(and(c1,and(d2,or(b1,b2)))))),n0) ),[0,1,1],$fot(or(f1,or(b2,and(d1,d2))))]]) ).
cnf(refute_0_2670,plain,
( and(and(c1,and(d2,or(b1,b2))),and(Y,not(and(c1,and(d2,or(b1,b2)))))) != n0
| and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) = n0 ),
inference(resolve,[$cnf( $equal(not(and(c1,and(d2,or(b1,b2)))),or(f1,or(b2,and(d1,d2)))) )],[refute_0_2668,refute_0_2669]) ).
cnf(refute_0_2671,plain,
and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) = n0,
inference(resolve,[$cnf( $equal(and(and(c1,and(d2,or(b1,b2))),and(Y,not(and(c1,and(d2,or(b1,b2)))))),n0) )],[refute_0_2629,refute_0_2670]) ).
cnf(refute_0_2672,plain,
and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))) = and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))),
inference(subst,[],[refute_0_202:[bind(X,$fot(d2)),bind(Y,$fot(or(b1,b2))),bind(Z,$fot(and(Y,or(f1,or(b2,and(d1,d2))))))]]) ).
cnf(refute_0_2673,plain,
and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))) = and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))),
introduced(tautology,[refl,[$fot(and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))))]]) ).
cnf(refute_0_2674,plain,
( and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))) != and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))
| and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))) != and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))))
| and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))),and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))))) ),[1,1],$fot(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))]]) ).
cnf(refute_0_2675,plain,
( and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))) != and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))
| and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) ),
inference(resolve,[$cnf( $equal(and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))),and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))))) )],[refute_0_2673,refute_0_2674]) ).
cnf(refute_0_2676,plain,
and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))),
inference(resolve,[$cnf( $equal(and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))),and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) )],[refute_0_2672,refute_0_2675]) ).
cnf(refute_0_2677,plain,
and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) = and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))),
inference(subst,[],[refute_0_202:[bind(X,$fot(c1)),bind(Y,$fot(and(d2,or(b1,b2)))),bind(Z,$fot(and(Y,or(f1,or(b2,and(d1,d2))))))]]) ).
cnf(refute_0_2678,plain,
( and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) != and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))))
| and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))) != and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))
| and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))))),bind(Y0,$fot(and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))))),bind(Z0,$fot(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))))]]) ).
cnf(refute_0_2679,plain,
( and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))) != and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))
| and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) ),
inference(resolve,[$cnf( $equal(and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))),and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2))))))) )],[refute_0_2677,refute_0_2678]) ).
cnf(refute_0_2680,plain,
and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))),
inference(resolve,[$cnf( $equal(and(c1,and(and(d2,or(b1,b2)),and(Y,or(f1,or(b2,and(d1,d2)))))),and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))) )],[refute_0_2676,refute_0_2679]) ).
cnf(refute_0_2681,plain,
( and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) != and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))
| and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) != n0
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))),n0) ),[0],$fot(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))))]]) ).
cnf(refute_0_2682,plain,
( and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))) != n0
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))),and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))) )],[refute_0_2680,refute_0_2681]) ).
cnf(refute_0_2683,plain,
and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) = n0,
inference(resolve,[$cnf( $equal(and(and(c1,and(d2,or(b1,b2))),and(Y,or(f1,or(b2,and(d1,d2))))),n0) )],[refute_0_2671,refute_0_2682]) ).
cnf(refute_0_2684,plain,
not(and(and(b1,or(b1,b2)),d2)) = or(b2,not(and(b1,or(b1,b2)))),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(and(b1,or(b1,b2))))]]) ).
cnf(refute_0_2685,plain,
not(and(or(b1,b2),b1)) = or(d1,not(or(b1,b2))),
inference(subst,[],[refute_0_858:[bind(X_109,$fot(or(b1,b2)))]]) ).
cnf(refute_0_2686,plain,
( not(and(or(b1,b2),b1)) != or(d1,not(or(b1,b2)))
| not(or(b1,b2)) != and(d1,d2)
| not(and(or(b1,b2),b1)) = or(d1,and(d1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,b2),b1)),or(d1,not(or(b1,b2)))) ),[1,1],$fot(and(d1,d2))]]) ).
cnf(refute_0_2687,plain,
( not(and(or(b1,b2),b1)) != or(d1,not(or(b1,b2)))
| not(and(or(b1,b2),b1)) = or(d1,and(d1,d2)) ),
inference(resolve,[$cnf( $equal(not(or(b1,b2)),and(d1,d2)) )],[refute_0_2643,refute_0_2686]) ).
cnf(refute_0_2688,plain,
not(and(or(b1,b2),b1)) = or(d1,and(d1,d2)),
inference(resolve,[$cnf( $equal(not(and(or(b1,b2),b1)),or(d1,not(or(b1,b2)))) )],[refute_0_2685,refute_0_2687]) ).
cnf(refute_0_2689,plain,
not(and(or(b1,b2),b1)) = not(and(b1,or(b1,b2))),
inference(subst,[],[refute_0_884:[bind(X_117,$fot(or(b1,b2)))]]) ).
cnf(refute_0_2690,plain,
( not(and(or(b1,b2),b1)) != not(and(b1,or(b1,b2)))
| not(and(or(b1,b2),b1)) != or(d1,and(d1,d2))
| not(and(b1,or(b1,b2))) = or(d1,and(d1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(b1,b2),b1)),or(d1,and(d1,d2))) ),[0],$fot(not(and(b1,or(b1,b2))))]]) ).
cnf(refute_0_2691,plain,
( not(and(or(b1,b2),b1)) != or(d1,and(d1,d2))
| not(and(b1,or(b1,b2))) = or(d1,and(d1,d2)) ),
inference(resolve,[$cnf( $equal(not(and(or(b1,b2),b1)),not(and(b1,or(b1,b2)))) )],[refute_0_2689,refute_0_2690]) ).
cnf(refute_0_2692,plain,
or(d1,and(d1,d2)) = d1,
inference(subst,[],[refute_0_2595:[bind(X_14,$fot(d1))]]) ).
cnf(refute_0_2693,plain,
( not(and(b1,or(b1,b2))) != or(d1,and(d1,d2))
| or(d1,and(d1,d2)) != d1
| not(and(b1,or(b1,b2))) = d1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,or(b1,b2))),d1) ),[0],$fot(or(d1,and(d1,d2)))]]) ).
cnf(refute_0_2694,plain,
( not(and(b1,or(b1,b2))) != or(d1,and(d1,d2))
| not(and(b1,or(b1,b2))) = d1 ),
inference(resolve,[$cnf( $equal(or(d1,and(d1,d2)),d1) )],[refute_0_2692,refute_0_2693]) ).
cnf(refute_0_2695,plain,
( not(and(or(b1,b2),b1)) != or(d1,and(d1,d2))
| not(and(b1,or(b1,b2))) = d1 ),
inference(resolve,[$cnf( $equal(not(and(b1,or(b1,b2))),or(d1,and(d1,d2))) )],[refute_0_2691,refute_0_2694]) ).
cnf(refute_0_2696,plain,
not(and(b1,or(b1,b2))) = d1,
inference(resolve,[$cnf( $equal(not(and(or(b1,b2),b1)),or(d1,and(d1,d2))) )],[refute_0_2688,refute_0_2695]) ).
cnf(refute_0_2697,plain,
( not(and(and(b1,or(b1,b2)),d2)) != or(b2,not(and(b1,or(b1,b2))))
| not(and(b1,or(b1,b2))) != d1
| not(and(and(b1,or(b1,b2)),d2)) = or(b2,d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,or(b1,b2)),d2)),or(b2,not(and(b1,or(b1,b2))))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_2698,plain,
( not(and(and(b1,or(b1,b2)),d2)) != or(b2,not(and(b1,or(b1,b2))))
| not(and(and(b1,or(b1,b2)),d2)) = or(b2,d1) ),
inference(resolve,[$cnf( $equal(not(and(b1,or(b1,b2))),d1) )],[refute_0_2696,refute_0_2697]) ).
cnf(refute_0_2699,plain,
not(and(and(b1,or(b1,b2)),d2)) = or(b2,d1),
inference(resolve,[$cnf( $equal(not(and(and(b1,or(b1,b2)),d2)),or(b2,not(and(b1,or(b1,b2))))) )],[refute_0_2684,refute_0_2698]) ).
cnf(refute_0_2700,plain,
or(and(d1,and(d2,or(b1,b2))),and(and(d2,or(b1,b2)),not(d1))) = and(d2,or(b1,b2)),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d1)),bind(Y,$fot(and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2701,plain,
and(and(d1,d2),not(and(d1,d2))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(d1,d2)))]]) ).
cnf(refute_0_2702,plain,
( and(and(d1,d2),not(and(d1,d2))) != n0
| not(and(d1,d2)) != or(b1,b2)
| and(and(d1,d2),or(b1,b2)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d1,d2),not(and(d1,d2))),n0) ),[0,1],$fot(or(b1,b2))]]) ).
cnf(refute_0_2703,plain,
( and(and(d1,d2),not(and(d1,d2))) != n0
| and(and(d1,d2),or(b1,b2)) = n0 ),
inference(resolve,[$cnf( $equal(not(and(d1,d2)),or(b1,b2)) )],[refute_0_2640,refute_0_2702]) ).
cnf(refute_0_2704,plain,
and(and(d1,d2),or(b1,b2)) = n0,
inference(resolve,[$cnf( $equal(and(and(d1,d2),not(and(d1,d2))),n0) )],[refute_0_2701,refute_0_2703]) ).
cnf(refute_0_2705,plain,
and(and(d1,d2),or(b1,b2)) = and(d1,and(d2,or(b1,b2))),
inference(subst,[],[refute_0_202:[bind(X,$fot(d1)),bind(Y,$fot(d2)),bind(Z,$fot(or(b1,b2)))]]) ).
cnf(refute_0_2706,plain,
( and(and(d1,d2),or(b1,b2)) != and(d1,and(d2,or(b1,b2)))
| and(and(d1,d2),or(b1,b2)) != n0
| and(d1,and(d2,or(b1,b2))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d1,d2),or(b1,b2)),n0) ),[0],$fot(and(d1,and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2707,plain,
( and(and(d1,d2),or(b1,b2)) != n0
| and(d1,and(d2,or(b1,b2))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(d1,d2),or(b1,b2)),and(d1,and(d2,or(b1,b2)))) )],[refute_0_2705,refute_0_2706]) ).
cnf(refute_0_2708,plain,
and(d1,and(d2,or(b1,b2))) = n0,
inference(resolve,[$cnf( $equal(and(and(d1,d2),or(b1,b2)),n0) )],[refute_0_2704,refute_0_2707]) ).
cnf(refute_0_2709,plain,
( and(d1,and(d2,or(b1,b2))) != n0
| or(and(d1,and(d2,or(b1,b2))),and(and(d2,or(b1,b2)),not(d1))) != and(d2,or(b1,b2))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,or(b1,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,and(d2,or(b1,b2))),and(and(d2,or(b1,b2)),not(d1))),and(d2,or(b1,b2))) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_2710,plain,
( or(and(d1,and(d2,or(b1,b2))),and(and(d2,or(b1,b2)),not(d1))) != and(d2,or(b1,b2))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,or(b1,b2)) ),
inference(resolve,[$cnf( $equal(and(d1,and(d2,or(b1,b2))),n0) )],[refute_0_2708,refute_0_2709]) ).
cnf(refute_0_2711,plain,
or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,or(b1,b2)),
inference(resolve,[$cnf( $equal(or(and(d1,and(d2,or(b1,b2))),and(and(d2,or(b1,b2)),not(d1))),and(d2,or(b1,b2))) )],[refute_0_2700,refute_0_2710]) ).
cnf(refute_0_2712,plain,
and(not(d1),or(b1,b2)) = and(not(d1),or(b1,b2)),
introduced(tautology,[refl,[$fot(and(not(d1),or(b1,b2)))]]) ).
cnf(refute_0_2713,plain,
( and(not(d1),or(b1,b2)) != and(not(d1),or(b1,b2))
| not(d1) != b1
| and(not(d1),or(b1,b2)) = and(b1,or(b1,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(d1),or(b1,b2)),and(not(d1),or(b1,b2))) ),[1,0],$fot(b1)]]) ).
cnf(refute_0_2714,plain,
( not(d1) != b1
| and(not(d1),or(b1,b2)) = and(b1,or(b1,b2)) ),
inference(resolve,[$cnf( $equal(and(not(d1),or(b1,b2)),and(not(d1),or(b1,b2))) )],[refute_0_2712,refute_0_2713]) ).
cnf(refute_0_2715,plain,
and(not(d1),or(b1,b2)) = and(b1,or(b1,b2)),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_2714]) ).
cnf(refute_0_2716,plain,
and(d2,and(not(d1),or(b1,b2))) = and(d2,and(not(d1),or(b1,b2))),
introduced(tautology,[refl,[$fot(and(d2,and(not(d1),or(b1,b2))))]]) ).
cnf(refute_0_2717,plain,
( and(d2,and(not(d1),or(b1,b2))) != and(d2,and(not(d1),or(b1,b2)))
| and(not(d1),or(b1,b2)) != and(b1,or(b1,b2))
| and(d2,and(not(d1),or(b1,b2))) = and(d2,and(b1,or(b1,b2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(not(d1),or(b1,b2))),and(d2,and(not(d1),or(b1,b2)))) ),[1,1],$fot(and(b1,or(b1,b2)))]]) ).
cnf(refute_0_2718,plain,
( and(not(d1),or(b1,b2)) != and(b1,or(b1,b2))
| and(d2,and(not(d1),or(b1,b2))) = and(d2,and(b1,or(b1,b2))) ),
inference(resolve,[$cnf( $equal(and(d2,and(not(d1),or(b1,b2))),and(d2,and(not(d1),or(b1,b2)))) )],[refute_0_2716,refute_0_2717]) ).
cnf(refute_0_2719,plain,
and(d2,and(not(d1),or(b1,b2))) = and(d2,and(b1,or(b1,b2))),
inference(resolve,[$cnf( $equal(and(not(d1),or(b1,b2)),and(b1,or(b1,b2))) )],[refute_0_2715,refute_0_2718]) ).
cnf(refute_0_2720,plain,
and(d2,and(or(b1,b2),not(d1))) = and(d2,and(not(d1),or(b1,b2))),
inference(subst,[],[refute_0_944:[bind(X,$fot(d2)),bind(Y,$fot(not(d1))),bind(Z,$fot(or(b1,b2)))]]) ).
cnf(refute_0_2721,plain,
and(and(d2,or(b1,b2)),not(d1)) = and(d2,and(or(b1,b2),not(d1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(d2)),bind(Y,$fot(or(b1,b2))),bind(Z,$fot(not(d1)))]]) ).
cnf(refute_0_2722,plain,
( and(and(d2,or(b1,b2)),not(d1)) != and(d2,and(or(b1,b2),not(d1)))
| and(d2,and(or(b1,b2),not(d1))) != and(d2,and(not(d1),or(b1,b2)))
| and(and(d2,or(b1,b2)),not(d1)) = and(d2,and(not(d1),or(b1,b2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(d2,or(b1,b2)),not(d1)))),bind(Y0,$fot(and(d2,and(or(b1,b2),not(d1))))),bind(Z0,$fot(and(d2,and(not(d1),or(b1,b2)))))]]) ).
cnf(refute_0_2723,plain,
( and(d2,and(or(b1,b2),not(d1))) != and(d2,and(not(d1),or(b1,b2)))
| and(and(d2,or(b1,b2)),not(d1)) = and(d2,and(not(d1),or(b1,b2))) ),
inference(resolve,[$cnf( $equal(and(and(d2,or(b1,b2)),not(d1)),and(d2,and(or(b1,b2),not(d1)))) )],[refute_0_2721,refute_0_2722]) ).
cnf(refute_0_2724,plain,
and(and(d2,or(b1,b2)),not(d1)) = and(d2,and(not(d1),or(b1,b2))),
inference(resolve,[$cnf( $equal(and(d2,and(or(b1,b2),not(d1))),and(d2,and(not(d1),or(b1,b2)))) )],[refute_0_2720,refute_0_2723]) ).
cnf(refute_0_2725,plain,
or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(and(d2,or(b1,b2)),not(d1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(d2,or(b1,b2)),not(d1))))]]) ).
cnf(refute_0_2726,plain,
( and(and(d2,or(b1,b2)),not(d1)) != and(d2,and(not(d1),or(b1,b2)))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) != and(and(d2,or(b1,b2)),not(d1))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,and(not(d1),or(b1,b2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(d2,or(b1,b2)),not(d1))))),bind(Y0,$fot(and(and(d2,or(b1,b2)),not(d1)))),bind(Z0,$fot(and(d2,and(not(d1),or(b1,b2)))))]]) ).
cnf(refute_0_2727,plain,
( and(and(d2,or(b1,b2)),not(d1)) != and(d2,and(not(d1),or(b1,b2)))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,and(not(d1),or(b1,b2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(d2,or(b1,b2)),not(d1))),and(and(d2,or(b1,b2)),not(d1))) )],[refute_0_2725,refute_0_2726]) ).
cnf(refute_0_2728,plain,
or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,and(not(d1),or(b1,b2))),
inference(resolve,[$cnf( $equal(and(and(d2,or(b1,b2)),not(d1)),and(d2,and(not(d1),or(b1,b2)))) )],[refute_0_2724,refute_0_2727]) ).
cnf(refute_0_2729,plain,
( and(d2,and(not(d1),or(b1,b2))) != and(d2,and(b1,or(b1,b2)))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) != and(d2,and(not(d1),or(b1,b2)))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,and(b1,or(b1,b2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(d2,or(b1,b2)),not(d1))))),bind(Y0,$fot(and(d2,and(not(d1),or(b1,b2))))),bind(Z0,$fot(and(d2,and(b1,or(b1,b2)))))]]) ).
cnf(refute_0_2730,plain,
( and(d2,and(not(d1),or(b1,b2))) != and(d2,and(b1,or(b1,b2)))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,and(b1,or(b1,b2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(d2,or(b1,b2)),not(d1))),and(d2,and(not(d1),or(b1,b2)))) )],[refute_0_2728,refute_0_2729]) ).
cnf(refute_0_2731,plain,
or(n0,and(and(d2,or(b1,b2)),not(d1))) = and(d2,and(b1,or(b1,b2))),
inference(resolve,[$cnf( $equal(and(d2,and(not(d1),or(b1,b2))),and(d2,and(b1,or(b1,b2)))) )],[refute_0_2719,refute_0_2730]) ).
cnf(refute_0_2732,plain,
( or(n0,and(and(d2,or(b1,b2)),not(d1))) != and(d2,and(b1,or(b1,b2)))
| or(n0,and(and(d2,or(b1,b2)),not(d1))) != and(d2,or(b1,b2))
| and(d2,and(b1,or(b1,b2))) = and(d2,or(b1,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(d2,or(b1,b2)),not(d1))),and(d2,or(b1,b2))) ),[0],$fot(and(d2,and(b1,or(b1,b2))))]]) ).
cnf(refute_0_2733,plain,
( or(n0,and(and(d2,or(b1,b2)),not(d1))) != and(d2,or(b1,b2))
| and(d2,and(b1,or(b1,b2))) = and(d2,or(b1,b2)) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(d2,or(b1,b2)),not(d1))),and(d2,and(b1,or(b1,b2)))) )],[refute_0_2731,refute_0_2732]) ).
cnf(refute_0_2734,plain,
and(d2,and(b1,or(b1,b2))) = and(d2,or(b1,b2)),
inference(resolve,[$cnf( $equal(or(n0,and(and(d2,or(b1,b2)),not(d1))),and(d2,or(b1,b2))) )],[refute_0_2711,refute_0_2733]) ).
cnf(refute_0_2735,plain,
not(and(d2,and(b1,or(b1,b2)))) = not(and(d2,and(b1,or(b1,b2)))),
introduced(tautology,[refl,[$fot(not(and(d2,and(b1,or(b1,b2)))))]]) ).
cnf(refute_0_2736,plain,
( and(d2,and(b1,or(b1,b2))) != and(d2,or(b1,b2))
| not(and(d2,and(b1,or(b1,b2)))) != not(and(d2,and(b1,or(b1,b2))))
| not(and(d2,and(b1,or(b1,b2)))) = not(and(d2,or(b1,b2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,and(b1,or(b1,b2)))),not(and(d2,and(b1,or(b1,b2))))) ),[1,0],$fot(and(d2,or(b1,b2)))]]) ).
cnf(refute_0_2737,plain,
( and(d2,and(b1,or(b1,b2))) != and(d2,or(b1,b2))
| not(and(d2,and(b1,or(b1,b2)))) = not(and(d2,or(b1,b2))) ),
inference(resolve,[$cnf( $equal(not(and(d2,and(b1,or(b1,b2)))),not(and(d2,and(b1,or(b1,b2))))) )],[refute_0_2735,refute_0_2736]) ).
cnf(refute_0_2738,plain,
not(and(d2,and(b1,or(b1,b2)))) = not(and(d2,or(b1,b2))),
inference(resolve,[$cnf( $equal(and(d2,and(b1,or(b1,b2))),and(d2,or(b1,b2))) )],[refute_0_2734,refute_0_2737]) ).
cnf(refute_0_2739,plain,
( not(and(d2,and(b1,or(b1,b2)))) != not(and(d2,or(b1,b2)))
| not(and(d2,or(b1,b2))) != or(b2,and(d1,d2))
| not(and(d2,and(b1,or(b1,b2)))) = or(b2,and(d1,d2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(d2,and(b1,or(b1,b2)))))),bind(Y0,$fot(not(and(d2,or(b1,b2))))),bind(Z0,$fot(or(b2,and(d1,d2))))]]) ).
cnf(refute_0_2740,plain,
( not(and(d2,or(b1,b2))) != or(b2,and(d1,d2))
| not(and(d2,and(b1,or(b1,b2)))) = or(b2,and(d1,d2)) ),
inference(resolve,[$cnf( $equal(not(and(d2,and(b1,or(b1,b2)))),not(and(d2,or(b1,b2)))) )],[refute_0_2738,refute_0_2739]) ).
cnf(refute_0_2741,plain,
not(and(d2,and(b1,or(b1,b2)))) = or(b2,and(d1,d2)),
inference(resolve,[$cnf( $equal(not(and(d2,or(b1,b2))),or(b2,and(d1,d2))) )],[refute_0_2650,refute_0_2740]) ).
cnf(refute_0_2742,plain,
not(and(and(b1,or(b1,b2)),d2)) = not(and(d2,and(b1,or(b1,b2)))),
inference(subst,[],[refute_0_338:[bind(X_112,$fot(and(b1,or(b1,b2))))]]) ).
cnf(refute_0_2743,plain,
( not(and(and(b1,or(b1,b2)),d2)) != not(and(d2,and(b1,or(b1,b2))))
| not(and(d2,and(b1,or(b1,b2)))) != or(b2,and(d1,d2))
| not(and(and(b1,or(b1,b2)),d2)) = or(b2,and(d1,d2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(b1,or(b1,b2)),d2)))),bind(Y0,$fot(not(and(d2,and(b1,or(b1,b2)))))),bind(Z0,$fot(or(b2,and(d1,d2))))]]) ).
cnf(refute_0_2744,plain,
( not(and(d2,and(b1,or(b1,b2)))) != or(b2,and(d1,d2))
| not(and(and(b1,or(b1,b2)),d2)) = or(b2,and(d1,d2)) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,or(b1,b2)),d2)),not(and(d2,and(b1,or(b1,b2))))) )],[refute_0_2742,refute_0_2743]) ).
cnf(refute_0_2745,plain,
not(and(and(b1,or(b1,b2)),d2)) = or(b2,and(d1,d2)),
inference(resolve,[$cnf( $equal(not(and(d2,and(b1,or(b1,b2)))),or(b2,and(d1,d2))) )],[refute_0_2741,refute_0_2744]) ).
cnf(refute_0_2746,plain,
( not(and(and(b1,or(b1,b2)),d2)) != or(b2,and(d1,d2))
| not(and(and(b1,or(b1,b2)),d2)) != or(b2,d1)
| or(b2,and(d1,d2)) = or(b2,d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,or(b1,b2)),d2)),or(b2,d1)) ),[0],$fot(or(b2,and(d1,d2)))]]) ).
cnf(refute_0_2747,plain,
( not(and(and(b1,or(b1,b2)),d2)) != or(b2,d1)
| or(b2,and(d1,d2)) = or(b2,d1) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,or(b1,b2)),d2)),or(b2,and(d1,d2))) )],[refute_0_2745,refute_0_2746]) ).
cnf(refute_0_2748,plain,
or(b2,and(d1,d2)) = or(b2,d1),
inference(resolve,[$cnf( $equal(not(and(and(b1,or(b1,b2)),d2)),or(b2,d1)) )],[refute_0_2699,refute_0_2747]) ).
cnf(refute_0_2749,plain,
or(f1,or(b2,and(d1,d2))) = or(f1,or(b2,and(d1,d2))),
introduced(tautology,[refl,[$fot(or(f1,or(b2,and(d1,d2))))]]) ).
cnf(refute_0_2750,plain,
( or(b2,and(d1,d2)) != or(b2,d1)
| or(f1,or(b2,and(d1,d2))) != or(f1,or(b2,and(d1,d2)))
| or(f1,or(b2,and(d1,d2))) = or(f1,or(b2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(b2,and(d1,d2))),or(f1,or(b2,and(d1,d2)))) ),[1,1],$fot(or(b2,d1))]]) ).
cnf(refute_0_2751,plain,
( or(b2,and(d1,d2)) != or(b2,d1)
| or(f1,or(b2,and(d1,d2))) = or(f1,or(b2,d1)) ),
inference(resolve,[$cnf( $equal(or(f1,or(b2,and(d1,d2))),or(f1,or(b2,and(d1,d2)))) )],[refute_0_2749,refute_0_2750]) ).
cnf(refute_0_2752,plain,
or(f1,or(b2,and(d1,d2))) = or(f1,or(b2,d1)),
inference(resolve,[$cnf( $equal(or(b2,and(d1,d2)),or(b2,d1)) )],[refute_0_2748,refute_0_2751]) ).
cnf(refute_0_2753,plain,
and(Y,or(f1,or(b2,and(d1,d2)))) = and(Y,or(f1,or(b2,and(d1,d2)))),
introduced(tautology,[refl,[$fot(and(Y,or(f1,or(b2,and(d1,d2)))))]]) ).
cnf(refute_0_2754,plain,
( and(Y,or(f1,or(b2,and(d1,d2)))) != and(Y,or(f1,or(b2,and(d1,d2))))
| or(f1,or(b2,and(d1,d2))) != or(f1,or(b2,d1))
| and(Y,or(f1,or(b2,and(d1,d2)))) = and(Y,or(f1,or(b2,d1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(Y,or(f1,or(b2,and(d1,d2)))),and(Y,or(f1,or(b2,and(d1,d2))))) ),[1,1],$fot(or(f1,or(b2,d1)))]]) ).
cnf(refute_0_2755,plain,
( or(f1,or(b2,and(d1,d2))) != or(f1,or(b2,d1))
| and(Y,or(f1,or(b2,and(d1,d2)))) = and(Y,or(f1,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(and(Y,or(f1,or(b2,and(d1,d2)))),and(Y,or(f1,or(b2,and(d1,d2))))) )],[refute_0_2753,refute_0_2754]) ).
cnf(refute_0_2756,plain,
and(Y,or(f1,or(b2,and(d1,d2)))) = and(Y,or(f1,or(b2,d1))),
inference(resolve,[$cnf( $equal(or(f1,or(b2,and(d1,d2))),or(f1,or(b2,d1))) )],[refute_0_2752,refute_0_2755]) ).
cnf(refute_0_2757,plain,
and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))) = and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))),
introduced(tautology,[refl,[$fot(and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))]]) ).
cnf(refute_0_2758,plain,
( and(Y,or(f1,or(b2,and(d1,d2)))) != and(Y,or(f1,or(b2,d1)))
| and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))) != and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))
| and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))) = and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))),and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) ),[1,1],$fot(and(Y,or(f1,or(b2,d1))))]]) ).
cnf(refute_0_2759,plain,
( and(Y,or(f1,or(b2,and(d1,d2)))) != and(Y,or(f1,or(b2,d1)))
| and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))) = and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) ),
inference(resolve,[$cnf( $equal(and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))),and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) )],[refute_0_2757,refute_0_2758]) ).
cnf(refute_0_2760,plain,
and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))) = and(or(b1,b2),and(Y,or(f1,or(b2,d1)))),
inference(resolve,[$cnf( $equal(and(Y,or(f1,or(b2,and(d1,d2)))),and(Y,or(f1,or(b2,d1)))) )],[refute_0_2756,refute_0_2759]) ).
cnf(refute_0_2761,plain,
and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) = and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))),
introduced(tautology,[refl,[$fot(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))]]) ).
cnf(refute_0_2762,plain,
( and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) != and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))
| and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))) != and(or(b1,b2),and(Y,or(f1,or(b2,d1))))
| and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) = and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))),and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) ),[1,1],$fot(and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))]]) ).
cnf(refute_0_2763,plain,
( and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))) != and(or(b1,b2),and(Y,or(f1,or(b2,d1))))
| and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) = and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) ),
inference(resolve,[$cnf( $equal(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))),and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) )],[refute_0_2761,refute_0_2762]) ).
cnf(refute_0_2764,plain,
and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) = and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))),
inference(resolve,[$cnf( $equal(and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))),and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) )],[refute_0_2760,refute_0_2763]) ).
cnf(refute_0_2765,plain,
and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))),
introduced(tautology,[refl,[$fot(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))))]]) ).
cnf(refute_0_2766,plain,
( and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) != and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))
| and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) != and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))),and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))) ),[1,1],$fot(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))))]]) ).
cnf(refute_0_2767,plain,
( and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))) != and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) ),
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))),and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))))) )],[refute_0_2765,refute_0_2766]) ).
cnf(refute_0_2768,plain,
and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))),
inference(resolve,[$cnf( $equal(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2)))))),and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) )],[refute_0_2764,refute_0_2767]) ).
cnf(refute_0_2769,plain,
( and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) != and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))))
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) != n0
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))),n0) ),[0],$fot(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))))]]) ).
cnf(refute_0_2770,plain,
( and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))) != n0
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) = n0 ),
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))),and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))))) )],[refute_0_2768,refute_0_2769]) ).
cnf(refute_0_2771,plain,
and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) = n0,
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,and(d1,d2))))))),n0) )],[refute_0_2683,refute_0_2770]) ).
cnf(refute_0_2772,plain,
or(or(f1,or(b2,d1)),or(b2,or(f1,or(b2,d1)))) = or(or(f1,or(b2,d1)),b2),
inference(subst,[],[refute_0_345:[bind(X,$fot(or(f1,or(b2,d1)))),bind(Y,$fot(b2))]]) ).
cnf(refute_0_2773,plain,
not(and(and(d3,and(b1,d2)),d2)) = or(b2,not(and(d3,and(b1,d2)))),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(and(d3,and(b1,d2))))]]) ).
cnf(refute_0_2774,plain,
or(or(f1,or(b2,d1)),d1) = or(d1,or(f1,or(b2,d1))),
inference(subst,[],[or_commutativity:[bind(X,$fot(or(f1,or(b2,d1)))),bind(Y,$fot(d1))]]) ).
cnf(refute_0_2775,plain,
not(and(and(c1,and(d2,or(b1,b2))),b1)) = or(d1,not(and(c1,and(d2,or(b1,b2))))),
inference(subst,[],[refute_0_858:[bind(X_109,$fot(and(c1,and(d2,or(b1,b2)))))]]) ).
cnf(refute_0_2776,plain,
( not(and(and(c1,and(d2,or(b1,b2))),b1)) != or(d1,not(and(c1,and(d2,or(b1,b2)))))
| not(and(c1,and(d2,or(b1,b2)))) != or(f1,or(b2,and(d1,d2)))
| not(and(and(c1,and(d2,or(b1,b2))),b1)) = or(d1,or(f1,or(b2,and(d1,d2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c1,and(d2,or(b1,b2))),b1)),or(d1,not(and(c1,and(d2,or(b1,b2)))))) ),[1,1],$fot(or(f1,or(b2,and(d1,d2))))]]) ).
cnf(refute_0_2777,plain,
( not(and(and(c1,and(d2,or(b1,b2))),b1)) != or(d1,not(and(c1,and(d2,or(b1,b2)))))
| not(and(and(c1,and(d2,or(b1,b2))),b1)) = or(d1,or(f1,or(b2,and(d1,d2)))) ),
inference(resolve,[$cnf( $equal(not(and(c1,and(d2,or(b1,b2)))),or(f1,or(b2,and(d1,d2)))) )],[refute_0_2668,refute_0_2776]) ).
cnf(refute_0_2778,plain,
not(and(and(c1,and(d2,or(b1,b2))),b1)) = or(d1,or(f1,or(b2,and(d1,d2)))),
inference(resolve,[$cnf( $equal(not(and(and(c1,and(d2,or(b1,b2))),b1)),or(d1,not(and(c1,and(d2,or(b1,b2)))))) )],[refute_0_2775,refute_0_2777]) ).
cnf(refute_0_2779,plain,
not(and(and(b1,i1),Y)) = or(not(and(b1,i1)),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(and(b1,i1)))]]) ).
cnf(refute_0_2780,plain,
( not(and(and(b1,i1),Y)) != or(not(and(b1,i1)),not(Y))
| not(and(b1,i1)) != not(d3)
| not(and(and(b1,i1),Y)) = or(not(d3),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,i1),Y)),or(not(and(b1,i1)),not(Y))) ),[1,0],$fot(not(d3))]]) ).
cnf(refute_0_2781,plain,
( not(and(and(b1,i1),Y)) != or(not(and(b1,i1)),not(Y))
| not(and(and(b1,i1),Y)) = or(not(d3),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(b1,i1)),not(d3)) )],[refute_0_270,refute_0_2780]) ).
cnf(refute_0_2782,plain,
not(and(and(b1,i1),Y)) = or(not(d3),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(b1,i1),Y)),or(not(and(b1,i1)),not(Y))) )],[refute_0_2779,refute_0_2781]) ).
cnf(refute_0_2783,plain,
and(and(b1,i1),Y) = and(b1,and(i1,Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(b1)),bind(Y,$fot(i1)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2784,plain,
not(and(and(b1,i1),Y)) = not(and(and(b1,i1),Y)),
introduced(tautology,[refl,[$fot(not(and(and(b1,i1),Y)))]]) ).
cnf(refute_0_2785,plain,
( and(and(b1,i1),Y) != and(b1,and(i1,Y))
| not(and(and(b1,i1),Y)) != not(and(and(b1,i1),Y))
| not(and(and(b1,i1),Y)) = not(and(b1,and(i1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,i1),Y)),not(and(and(b1,i1),Y))) ),[1,0],$fot(and(b1,and(i1,Y)))]]) ).
cnf(refute_0_2786,plain,
( and(and(b1,i1),Y) != and(b1,and(i1,Y))
| not(and(and(b1,i1),Y)) = not(and(b1,and(i1,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,i1),Y)),not(and(and(b1,i1),Y))) )],[refute_0_2784,refute_0_2785]) ).
cnf(refute_0_2787,plain,
not(and(and(b1,i1),Y)) = not(and(b1,and(i1,Y))),
inference(resolve,[$cnf( $equal(and(and(b1,i1),Y),and(b1,and(i1,Y))) )],[refute_0_2783,refute_0_2786]) ).
cnf(refute_0_2788,plain,
( not(and(and(b1,i1),Y)) != not(and(b1,and(i1,Y)))
| not(and(and(b1,i1),Y)) != or(not(d3),not(Y))
| not(and(b1,and(i1,Y))) = or(not(d3),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,i1),Y)),or(not(d3),not(Y))) ),[0],$fot(not(and(b1,and(i1,Y))))]]) ).
cnf(refute_0_2789,plain,
( not(and(and(b1,i1),Y)) != or(not(d3),not(Y))
| not(and(b1,and(i1,Y))) = or(not(d3),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,i1),Y)),not(and(b1,and(i1,Y)))) )],[refute_0_2787,refute_0_2788]) ).
cnf(refute_0_2790,plain,
or(not(d3),not(Y)) = not(and(d3,Y)),
inference(subst,[],[refute_0_1135:[bind(X,$fot(d3))]]) ).
cnf(refute_0_2791,plain,
( not(and(b1,and(i1,Y))) != or(not(d3),not(Y))
| or(not(d3),not(Y)) != not(and(d3,Y))
| not(and(b1,and(i1,Y))) = not(and(d3,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,and(i1,Y))),not(and(d3,Y))) ),[0],$fot(or(not(d3),not(Y)))]]) ).
cnf(refute_0_2792,plain,
( not(and(b1,and(i1,Y))) != or(not(d3),not(Y))
| not(and(b1,and(i1,Y))) = not(and(d3,Y)) ),
inference(resolve,[$cnf( $equal(or(not(d3),not(Y)),not(and(d3,Y))) )],[refute_0_2790,refute_0_2791]) ).
cnf(refute_0_2793,plain,
( not(and(and(b1,i1),Y)) != or(not(d3),not(Y))
| not(and(b1,and(i1,Y))) = not(and(d3,Y)) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(i1,Y))),or(not(d3),not(Y))) )],[refute_0_2789,refute_0_2792]) ).
cnf(refute_0_2794,plain,
not(and(b1,and(i1,Y))) = not(and(d3,Y)),
inference(resolve,[$cnf( $equal(not(and(and(b1,i1),Y)),or(not(d3),not(Y))) )],[refute_0_2782,refute_0_2793]) ).
cnf(refute_0_2795,plain,
and(b1,and(i1,Y)) = and(b1,and(i1,Y)),
introduced(tautology,[refl,[$fot(and(b1,and(i1,Y)))]]) ).
cnf(refute_0_2796,plain,
( and(b1,and(i1,Y)) != and(b1,and(i1,Y))
| and(i1,Y) != and(c1,Y)
| and(b1,and(i1,Y)) = and(b1,and(c1,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(i1,Y)),and(b1,and(i1,Y))) ),[1,1],$fot(and(c1,Y))]]) ).
cnf(refute_0_2797,plain,
( and(i1,Y) != and(c1,Y)
| and(b1,and(i1,Y)) = and(b1,and(c1,Y)) ),
inference(resolve,[$cnf( $equal(and(b1,and(i1,Y)),and(b1,and(i1,Y))) )],[refute_0_2795,refute_0_2796]) ).
cnf(refute_0_2798,plain,
and(b1,and(i1,Y)) = and(b1,and(c1,Y)),
inference(resolve,[$cnf( $equal(and(i1,Y),and(c1,Y)) )],[refute_0_1160,refute_0_2797]) ).
cnf(refute_0_2799,plain,
not(and(b1,and(i1,Y))) = not(and(b1,and(i1,Y))),
introduced(tautology,[refl,[$fot(not(and(b1,and(i1,Y))))]]) ).
cnf(refute_0_2800,plain,
( and(b1,and(i1,Y)) != and(b1,and(c1,Y))
| not(and(b1,and(i1,Y))) != not(and(b1,and(i1,Y)))
| not(and(b1,and(i1,Y))) = not(and(b1,and(c1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,and(i1,Y))),not(and(b1,and(i1,Y)))) ),[1,0],$fot(and(b1,and(c1,Y)))]]) ).
cnf(refute_0_2801,plain,
( and(b1,and(i1,Y)) != and(b1,and(c1,Y))
| not(and(b1,and(i1,Y))) = not(and(b1,and(c1,Y))) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(i1,Y))),not(and(b1,and(i1,Y)))) )],[refute_0_2799,refute_0_2800]) ).
cnf(refute_0_2802,plain,
not(and(b1,and(i1,Y))) = not(and(b1,and(c1,Y))),
inference(resolve,[$cnf( $equal(and(b1,and(i1,Y)),and(b1,and(c1,Y))) )],[refute_0_2798,refute_0_2801]) ).
cnf(refute_0_2803,plain,
( not(and(b1,and(i1,Y))) != not(and(b1,and(c1,Y)))
| not(and(b1,and(i1,Y))) != not(and(d3,Y))
| not(and(b1,and(c1,Y))) = not(and(d3,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,and(i1,Y))),not(and(d3,Y))) ),[0],$fot(not(and(b1,and(c1,Y))))]]) ).
cnf(refute_0_2804,plain,
( not(and(b1,and(i1,Y))) != not(and(d3,Y))
| not(and(b1,and(c1,Y))) = not(and(d3,Y)) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(i1,Y))),not(and(b1,and(c1,Y)))) )],[refute_0_2802,refute_0_2803]) ).
cnf(refute_0_2805,plain,
not(and(b1,and(c1,Y))) = not(and(d3,Y)),
inference(resolve,[$cnf( $equal(not(and(b1,and(i1,Y))),not(and(d3,Y))) )],[refute_0_2794,refute_0_2804]) ).
cnf(refute_0_2806,plain,
not(and(b1,and(c1,and(d2,or(b1,b2))))) = not(and(d3,and(d2,or(b1,b2)))),
inference(subst,[],[refute_0_2805:[bind(Y,$fot(and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2807,plain,
not(and(and(c1,and(d2,or(b1,b2))),b1)) = not(and(b1,and(c1,and(d2,or(b1,b2))))),
inference(subst,[],[refute_0_884:[bind(X_117,$fot(and(c1,and(d2,or(b1,b2)))))]]) ).
cnf(refute_0_2808,plain,
( not(and(and(c1,and(d2,or(b1,b2))),b1)) != not(and(b1,and(c1,and(d2,or(b1,b2)))))
| not(and(b1,and(c1,and(d2,or(b1,b2))))) != not(and(d3,and(d2,or(b1,b2))))
| not(and(and(c1,and(d2,or(b1,b2))),b1)) = not(and(d3,and(d2,or(b1,b2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(c1,and(d2,or(b1,b2))),b1)))),bind(Y0,$fot(not(and(b1,and(c1,and(d2,or(b1,b2))))))),bind(Z0,$fot(not(and(d3,and(d2,or(b1,b2))))))]]) ).
cnf(refute_0_2809,plain,
( not(and(b1,and(c1,and(d2,or(b1,b2))))) != not(and(d3,and(d2,or(b1,b2))))
| not(and(and(c1,and(d2,or(b1,b2))),b1)) = not(and(d3,and(d2,or(b1,b2)))) ),
inference(resolve,[$cnf( $equal(not(and(and(c1,and(d2,or(b1,b2))),b1)),not(and(b1,and(c1,and(d2,or(b1,b2)))))) )],[refute_0_2807,refute_0_2808]) ).
cnf(refute_0_2810,plain,
not(and(and(c1,and(d2,or(b1,b2))),b1)) = not(and(d3,and(d2,or(b1,b2)))),
inference(resolve,[$cnf( $equal(not(and(b1,and(c1,and(d2,or(b1,b2))))),not(and(d3,and(d2,or(b1,b2))))) )],[refute_0_2806,refute_0_2809]) ).
cnf(refute_0_2811,plain,
( not(and(and(c1,and(d2,or(b1,b2))),b1)) != not(and(d3,and(d2,or(b1,b2))))
| not(and(and(c1,and(d2,or(b1,b2))),b1)) != or(d1,or(f1,or(b2,and(d1,d2))))
| not(and(d3,and(d2,or(b1,b2)))) = or(d1,or(f1,or(b2,and(d1,d2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c1,and(d2,or(b1,b2))),b1)),or(d1,or(f1,or(b2,and(d1,d2))))) ),[0],$fot(not(and(d3,and(d2,or(b1,b2)))))]]) ).
cnf(refute_0_2812,plain,
( not(and(and(c1,and(d2,or(b1,b2))),b1)) != or(d1,or(f1,or(b2,and(d1,d2))))
| not(and(d3,and(d2,or(b1,b2)))) = or(d1,or(f1,or(b2,and(d1,d2)))) ),
inference(resolve,[$cnf( $equal(not(and(and(c1,and(d2,or(b1,b2))),b1)),not(and(d3,and(d2,or(b1,b2))))) )],[refute_0_2810,refute_0_2811]) ).
cnf(refute_0_2813,plain,
not(and(d3,and(d2,or(b1,b2)))) = or(d1,or(f1,or(b2,and(d1,d2)))),
inference(resolve,[$cnf( $equal(not(and(and(c1,and(d2,or(b1,b2))),b1)),or(d1,or(f1,or(b2,and(d1,d2))))) )],[refute_0_2778,refute_0_2812]) ).
cnf(refute_0_2814,plain,
not(not(and(d2,or(b1,b2)))) = and(d2,or(b1,b2)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2815,plain,
( not(and(d2,or(b1,b2))) != or(b2,and(d1,d2))
| not(not(and(d2,or(b1,b2)))) != and(d2,or(b1,b2))
| not(or(b2,and(d1,d2))) = and(d2,or(b1,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(d2,or(b1,b2)))),and(d2,or(b1,b2))) ),[0,0],$fot(or(b2,and(d1,d2)))]]) ).
cnf(refute_0_2816,plain,
( not(not(and(d2,or(b1,b2)))) != and(d2,or(b1,b2))
| not(or(b2,and(d1,d2))) = and(d2,or(b1,b2)) ),
inference(resolve,[$cnf( $equal(not(and(d2,or(b1,b2))),or(b2,and(d1,d2))) )],[refute_0_2650,refute_0_2815]) ).
cnf(refute_0_2817,plain,
not(or(b2,and(d1,d2))) = and(d2,or(b1,b2)),
inference(resolve,[$cnf( $equal(not(not(and(d2,or(b1,b2)))),and(d2,or(b1,b2))) )],[refute_0_2814,refute_0_2816]) ).
cnf(refute_0_2818,plain,
not(not(and(b1,d2))) = and(b1,d2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b1,d2)))]]) ).
cnf(refute_0_2819,plain,
not(and(b1,d2)) = or(b2,not(b1)),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(b1))]]) ).
cnf(refute_0_2820,plain,
( not(and(b1,d2)) != or(b2,not(b1))
| not(b1) != d1
| not(and(b1,d2)) = or(b2,d1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,d2)),or(b2,not(b1))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_2821,plain,
( not(and(b1,d2)) != or(b2,not(b1))
| not(and(b1,d2)) = or(b2,d1) ),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_2820]) ).
cnf(refute_0_2822,plain,
not(and(b1,d2)) = or(b2,d1),
inference(resolve,[$cnf( $equal(not(and(b1,d2)),or(b2,not(b1))) )],[refute_0_2819,refute_0_2821]) ).
cnf(refute_0_2823,plain,
( not(and(b1,d2)) != or(b2,d1)
| not(not(and(b1,d2))) != and(b1,d2)
| not(or(b2,d1)) = and(b1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b1,d2))),and(b1,d2)) ),[0,0],$fot(or(b2,d1))]]) ).
cnf(refute_0_2824,plain,
( not(not(and(b1,d2))) != and(b1,d2)
| not(or(b2,d1)) = and(b1,d2) ),
inference(resolve,[$cnf( $equal(not(and(b1,d2)),or(b2,d1)) )],[refute_0_2822,refute_0_2823]) ).
cnf(refute_0_2825,plain,
not(or(b2,d1)) = and(b1,d2),
inference(resolve,[$cnf( $equal(not(not(and(b1,d2))),and(b1,d2)) )],[refute_0_2818,refute_0_2824]) ).
cnf(refute_0_2826,plain,
not(or(b2,and(d1,d2))) = not(or(b2,and(d1,d2))),
introduced(tautology,[refl,[$fot(not(or(b2,and(d1,d2))))]]) ).
cnf(refute_0_2827,plain,
( not(or(b2,and(d1,d2))) != not(or(b2,and(d1,d2)))
| or(b2,and(d1,d2)) != or(b2,d1)
| not(or(b2,and(d1,d2))) = not(or(b2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b2,and(d1,d2))),not(or(b2,and(d1,d2)))) ),[1,0],$fot(or(b2,d1))]]) ).
cnf(refute_0_2828,plain,
( or(b2,and(d1,d2)) != or(b2,d1)
| not(or(b2,and(d1,d2))) = not(or(b2,d1)) ),
inference(resolve,[$cnf( $equal(not(or(b2,and(d1,d2))),not(or(b2,and(d1,d2)))) )],[refute_0_2826,refute_0_2827]) ).
cnf(refute_0_2829,plain,
not(or(b2,and(d1,d2))) = not(or(b2,d1)),
inference(resolve,[$cnf( $equal(or(b2,and(d1,d2)),or(b2,d1)) )],[refute_0_2748,refute_0_2828]) ).
cnf(refute_0_2830,plain,
( not(or(b2,and(d1,d2))) != not(or(b2,d1))
| not(or(b2,d1)) != and(b1,d2)
| not(or(b2,and(d1,d2))) = and(b1,d2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(or(b2,and(d1,d2))))),bind(Y0,$fot(not(or(b2,d1)))),bind(Z0,$fot(and(b1,d2)))]]) ).
cnf(refute_0_2831,plain,
( not(or(b2,d1)) != and(b1,d2)
| not(or(b2,and(d1,d2))) = and(b1,d2) ),
inference(resolve,[$cnf( $equal(not(or(b2,and(d1,d2))),not(or(b2,d1))) )],[refute_0_2829,refute_0_2830]) ).
cnf(refute_0_2832,plain,
not(or(b2,and(d1,d2))) = and(b1,d2),
inference(resolve,[$cnf( $equal(not(or(b2,d1)),and(b1,d2)) )],[refute_0_2825,refute_0_2831]) ).
cnf(refute_0_2833,plain,
( not(or(b2,and(d1,d2))) != and(b1,d2)
| not(or(b2,and(d1,d2))) != and(d2,or(b1,b2))
| and(b1,d2) = and(d2,or(b1,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(b2,and(d1,d2))),and(d2,or(b1,b2))) ),[0],$fot(and(b1,d2))]]) ).
cnf(refute_0_2834,plain,
( not(or(b2,and(d1,d2))) != and(d2,or(b1,b2))
| and(b1,d2) = and(d2,or(b1,b2)) ),
inference(resolve,[$cnf( $equal(not(or(b2,and(d1,d2))),and(b1,d2)) )],[refute_0_2832,refute_0_2833]) ).
cnf(refute_0_2835,plain,
and(b1,d2) = and(d2,or(b1,b2)),
inference(resolve,[$cnf( $equal(not(or(b2,and(d1,d2))),and(d2,or(b1,b2))) )],[refute_0_2817,refute_0_2834]) ).
cnf(refute_0_2836,plain,
( and(b1,d2) != and(d2,or(b1,b2))
| and(d2,or(b1,b2)) = and(b1,d2) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(b1,d2))),bind(Y0,$fot(and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2837,plain,
and(d2,or(b1,b2)) = and(b1,d2),
inference(resolve,[$cnf( $equal(and(b1,d2),and(d2,or(b1,b2))) )],[refute_0_2835,refute_0_2836]) ).
cnf(refute_0_2838,plain,
and(d3,and(d2,or(b1,b2))) = and(d3,and(d2,or(b1,b2))),
introduced(tautology,[refl,[$fot(and(d3,and(d2,or(b1,b2))))]]) ).
cnf(refute_0_2839,plain,
( and(d2,or(b1,b2)) != and(b1,d2)
| and(d3,and(d2,or(b1,b2))) != and(d3,and(d2,or(b1,b2)))
| and(d3,and(d2,or(b1,b2))) = and(d3,and(b1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d3,and(d2,or(b1,b2))),and(d3,and(d2,or(b1,b2)))) ),[1,1],$fot(and(b1,d2))]]) ).
cnf(refute_0_2840,plain,
( and(d2,or(b1,b2)) != and(b1,d2)
| and(d3,and(d2,or(b1,b2))) = and(d3,and(b1,d2)) ),
inference(resolve,[$cnf( $equal(and(d3,and(d2,or(b1,b2))),and(d3,and(d2,or(b1,b2)))) )],[refute_0_2838,refute_0_2839]) ).
cnf(refute_0_2841,plain,
and(d3,and(d2,or(b1,b2))) = and(d3,and(b1,d2)),
inference(resolve,[$cnf( $equal(and(d2,or(b1,b2)),and(b1,d2)) )],[refute_0_2837,refute_0_2840]) ).
cnf(refute_0_2842,plain,
not(and(d3,and(d2,or(b1,b2)))) = not(and(d3,and(d2,or(b1,b2)))),
introduced(tautology,[refl,[$fot(not(and(d3,and(d2,or(b1,b2)))))]]) ).
cnf(refute_0_2843,plain,
( and(d3,and(d2,or(b1,b2))) != and(d3,and(b1,d2))
| not(and(d3,and(d2,or(b1,b2)))) != not(and(d3,and(d2,or(b1,b2))))
| not(and(d3,and(d2,or(b1,b2)))) = not(and(d3,and(b1,d2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d3,and(d2,or(b1,b2)))),not(and(d3,and(d2,or(b1,b2))))) ),[1,0],$fot(and(d3,and(b1,d2)))]]) ).
cnf(refute_0_2844,plain,
( and(d3,and(d2,or(b1,b2))) != and(d3,and(b1,d2))
| not(and(d3,and(d2,or(b1,b2)))) = not(and(d3,and(b1,d2))) ),
inference(resolve,[$cnf( $equal(not(and(d3,and(d2,or(b1,b2)))),not(and(d3,and(d2,or(b1,b2))))) )],[refute_0_2842,refute_0_2843]) ).
cnf(refute_0_2845,plain,
not(and(d3,and(d2,or(b1,b2)))) = not(and(d3,and(b1,d2))),
inference(resolve,[$cnf( $equal(and(d3,and(d2,or(b1,b2))),and(d3,and(b1,d2))) )],[refute_0_2841,refute_0_2844]) ).
cnf(refute_0_2846,plain,
( not(and(d3,and(d2,or(b1,b2)))) != not(and(d3,and(b1,d2)))
| not(and(d3,and(d2,or(b1,b2)))) != or(d1,or(f1,or(b2,and(d1,d2))))
| not(and(d3,and(b1,d2))) = or(d1,or(f1,or(b2,and(d1,d2)))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d3,and(d2,or(b1,b2)))),or(d1,or(f1,or(b2,and(d1,d2))))) ),[0],$fot(not(and(d3,and(b1,d2))))]]) ).
cnf(refute_0_2847,plain,
( not(and(d3,and(d2,or(b1,b2)))) != or(d1,or(f1,or(b2,and(d1,d2))))
| not(and(d3,and(b1,d2))) = or(d1,or(f1,or(b2,and(d1,d2)))) ),
inference(resolve,[$cnf( $equal(not(and(d3,and(d2,or(b1,b2)))),not(and(d3,and(b1,d2)))) )],[refute_0_2845,refute_0_2846]) ).
cnf(refute_0_2848,plain,
or(d1,or(f1,or(b2,and(d1,d2)))) = or(d1,or(f1,or(b2,and(d1,d2)))),
introduced(tautology,[refl,[$fot(or(d1,or(f1,or(b2,and(d1,d2)))))]]) ).
cnf(refute_0_2849,plain,
( or(d1,or(f1,or(b2,and(d1,d2)))) != or(d1,or(f1,or(b2,and(d1,d2))))
| or(f1,or(b2,and(d1,d2))) != or(f1,or(b2,d1))
| or(d1,or(f1,or(b2,and(d1,d2)))) = or(d1,or(f1,or(b2,d1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,or(f1,or(b2,and(d1,d2)))),or(d1,or(f1,or(b2,and(d1,d2))))) ),[1,1],$fot(or(f1,or(b2,d1)))]]) ).
cnf(refute_0_2850,plain,
( or(f1,or(b2,and(d1,d2))) != or(f1,or(b2,d1))
| or(d1,or(f1,or(b2,and(d1,d2)))) = or(d1,or(f1,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(or(d1,or(f1,or(b2,and(d1,d2)))),or(d1,or(f1,or(b2,and(d1,d2))))) )],[refute_0_2848,refute_0_2849]) ).
cnf(refute_0_2851,plain,
or(d1,or(f1,or(b2,and(d1,d2)))) = or(d1,or(f1,or(b2,d1))),
inference(resolve,[$cnf( $equal(or(f1,or(b2,and(d1,d2))),or(f1,or(b2,d1))) )],[refute_0_2752,refute_0_2850]) ).
cnf(refute_0_2852,plain,
( not(and(d3,and(b1,d2))) != or(d1,or(f1,or(b2,and(d1,d2))))
| or(d1,or(f1,or(b2,and(d1,d2)))) != or(d1,or(f1,or(b2,d1)))
| not(and(d3,and(b1,d2))) = or(d1,or(f1,or(b2,d1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d3,and(b1,d2))),or(d1,or(f1,or(b2,d1)))) ),[0],$fot(or(d1,or(f1,or(b2,and(d1,d2)))))]]) ).
cnf(refute_0_2853,plain,
( not(and(d3,and(b1,d2))) != or(d1,or(f1,or(b2,and(d1,d2))))
| not(and(d3,and(b1,d2))) = or(d1,or(f1,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(or(d1,or(f1,or(b2,and(d1,d2)))),or(d1,or(f1,or(b2,d1)))) )],[refute_0_2851,refute_0_2852]) ).
cnf(refute_0_2854,plain,
( not(and(d3,and(d2,or(b1,b2)))) != or(d1,or(f1,or(b2,and(d1,d2))))
| not(and(d3,and(b1,d2))) = or(d1,or(f1,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(not(and(d3,and(b1,d2))),or(d1,or(f1,or(b2,and(d1,d2))))) )],[refute_0_2847,refute_0_2853]) ).
cnf(refute_0_2855,plain,
not(and(d3,and(b1,d2))) = or(d1,or(f1,or(b2,d1))),
inference(resolve,[$cnf( $equal(not(and(d3,and(d2,or(b1,b2)))),or(d1,or(f1,or(b2,and(d1,d2))))) )],[refute_0_2813,refute_0_2854]) ).
cnf(refute_0_2856,plain,
( not(and(d3,and(b1,d2))) != or(d1,or(f1,or(b2,d1)))
| or(d1,or(f1,or(b2,d1))) = not(and(d3,and(b1,d2))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(d3,and(b1,d2))))),bind(Y0,$fot(or(d1,or(f1,or(b2,d1)))))]]) ).
cnf(refute_0_2857,plain,
or(d1,or(f1,or(b2,d1))) = not(and(d3,and(b1,d2))),
inference(resolve,[$cnf( $equal(not(and(d3,and(b1,d2))),or(d1,or(f1,or(b2,d1)))) )],[refute_0_2855,refute_0_2856]) ).
cnf(refute_0_2858,plain,
( or(d1,or(f1,or(b2,d1))) != not(and(d3,and(b1,d2)))
| or(or(f1,or(b2,d1)),d1) != or(d1,or(f1,or(b2,d1)))
| or(or(f1,or(b2,d1)),d1) = not(and(d3,and(b1,d2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(f1,or(b2,d1)),d1),or(d1,or(f1,or(b2,d1)))) ),[1],$fot(not(and(d3,and(b1,d2))))]]) ).
cnf(refute_0_2859,plain,
( or(or(f1,or(b2,d1)),d1) != or(d1,or(f1,or(b2,d1)))
| or(or(f1,or(b2,d1)),d1) = not(and(d3,and(b1,d2))) ),
inference(resolve,[$cnf( $equal(or(d1,or(f1,or(b2,d1))),not(and(d3,and(b1,d2)))) )],[refute_0_2857,refute_0_2858]) ).
cnf(refute_0_2860,plain,
or(or(f1,or(b2,d1)),d1) = not(and(d3,and(b1,d2))),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),d1),or(d1,or(f1,or(b2,d1)))) )],[refute_0_2774,refute_0_2859]) ).
cnf(refute_0_2861,plain,
or(d1,b2) = or(b2,d1),
inference(subst,[],[refute_0_37:[bind(X,$fot(b2)),bind(Y,$fot(d1))]]) ).
cnf(refute_0_2862,plain,
or(d1,or(b2,d1)) = or(d1,b2),
inference(subst,[],[refute_0_345:[bind(X,$fot(d1)),bind(Y,$fot(b2))]]) ).
cnf(refute_0_2863,plain,
( or(d1,b2) != or(b2,d1)
| or(d1,or(b2,d1)) != or(d1,b2)
| or(d1,or(b2,d1)) = or(b2,d1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d1,or(b2,d1)))),bind(Y0,$fot(or(d1,b2))),bind(Z0,$fot(or(b2,d1)))]]) ).
cnf(refute_0_2864,plain,
( or(d1,b2) != or(b2,d1)
| or(d1,or(b2,d1)) = or(b2,d1) ),
inference(resolve,[$cnf( $equal(or(d1,or(b2,d1)),or(d1,b2)) )],[refute_0_2862,refute_0_2863]) ).
cnf(refute_0_2865,plain,
or(d1,or(b2,d1)) = or(b2,d1),
inference(resolve,[$cnf( $equal(or(d1,b2),or(b2,d1)) )],[refute_0_2861,refute_0_2864]) ).
cnf(refute_0_2866,plain,
or(f1,or(d1,or(b2,d1))) = or(f1,or(d1,or(b2,d1))),
introduced(tautology,[refl,[$fot(or(f1,or(d1,or(b2,d1))))]]) ).
cnf(refute_0_2867,plain,
( or(d1,or(b2,d1)) != or(b2,d1)
| or(f1,or(d1,or(b2,d1))) != or(f1,or(d1,or(b2,d1)))
| or(f1,or(d1,or(b2,d1))) = or(f1,or(b2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(d1,or(b2,d1))),or(f1,or(d1,or(b2,d1)))) ),[1,1],$fot(or(b2,d1))]]) ).
cnf(refute_0_2868,plain,
( or(d1,or(b2,d1)) != or(b2,d1)
| or(f1,or(d1,or(b2,d1))) = or(f1,or(b2,d1)) ),
inference(resolve,[$cnf( $equal(or(f1,or(d1,or(b2,d1))),or(f1,or(d1,or(b2,d1)))) )],[refute_0_2866,refute_0_2867]) ).
cnf(refute_0_2869,plain,
or(f1,or(d1,or(b2,d1))) = or(f1,or(b2,d1)),
inference(resolve,[$cnf( $equal(or(d1,or(b2,d1)),or(b2,d1)) )],[refute_0_2865,refute_0_2868]) ).
cnf(refute_0_2870,plain,
or(f1,or(or(b2,d1),d1)) = or(f1,or(d1,or(b2,d1))),
inference(subst,[],[refute_0_1901:[bind(X,$fot(f1)),bind(Y,$fot(d1)),bind(Z,$fot(or(b2,d1)))]]) ).
cnf(refute_0_2871,plain,
or(or(f1,or(b2,d1)),d1) = or(f1,or(or(b2,d1),d1)),
inference(subst,[],[refute_0_65:[bind(X,$fot(f1)),bind(Y,$fot(or(b2,d1))),bind(Z,$fot(d1))]]) ).
cnf(refute_0_2872,plain,
( or(f1,or(or(b2,d1),d1)) != or(f1,or(d1,or(b2,d1)))
| or(or(f1,or(b2,d1)),d1) != or(f1,or(or(b2,d1),d1))
| or(or(f1,or(b2,d1)),d1) = or(f1,or(d1,or(b2,d1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(f1,or(b2,d1)),d1))),bind(Y0,$fot(or(f1,or(or(b2,d1),d1)))),bind(Z0,$fot(or(f1,or(d1,or(b2,d1)))))]]) ).
cnf(refute_0_2873,plain,
( or(f1,or(or(b2,d1),d1)) != or(f1,or(d1,or(b2,d1)))
| or(or(f1,or(b2,d1)),d1) = or(f1,or(d1,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),d1),or(f1,or(or(b2,d1),d1))) )],[refute_0_2871,refute_0_2872]) ).
cnf(refute_0_2874,plain,
or(or(f1,or(b2,d1)),d1) = or(f1,or(d1,or(b2,d1))),
inference(resolve,[$cnf( $equal(or(f1,or(or(b2,d1),d1)),or(f1,or(d1,or(b2,d1)))) )],[refute_0_2870,refute_0_2873]) ).
cnf(refute_0_2875,plain,
( or(f1,or(d1,or(b2,d1))) != or(f1,or(b2,d1))
| or(or(f1,or(b2,d1)),d1) != or(f1,or(d1,or(b2,d1)))
| or(or(f1,or(b2,d1)),d1) = or(f1,or(b2,d1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(f1,or(b2,d1)),d1))),bind(Y0,$fot(or(f1,or(d1,or(b2,d1))))),bind(Z0,$fot(or(f1,or(b2,d1))))]]) ).
cnf(refute_0_2876,plain,
( or(f1,or(d1,or(b2,d1))) != or(f1,or(b2,d1))
| or(or(f1,or(b2,d1)),d1) = or(f1,or(b2,d1)) ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),d1),or(f1,or(d1,or(b2,d1)))) )],[refute_0_2874,refute_0_2875]) ).
cnf(refute_0_2877,plain,
or(or(f1,or(b2,d1)),d1) = or(f1,or(b2,d1)),
inference(resolve,[$cnf( $equal(or(f1,or(d1,or(b2,d1))),or(f1,or(b2,d1))) )],[refute_0_2869,refute_0_2876]) ).
cnf(refute_0_2878,plain,
( or(or(f1,or(b2,d1)),d1) != not(and(d3,and(b1,d2)))
| or(or(f1,or(b2,d1)),d1) != or(f1,or(b2,d1))
| or(f1,or(b2,d1)) = not(and(d3,and(b1,d2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(f1,or(b2,d1)),d1),not(and(d3,and(b1,d2)))) ),[0],$fot(or(f1,or(b2,d1)))]]) ).
cnf(refute_0_2879,plain,
( or(or(f1,or(b2,d1)),d1) != not(and(d3,and(b1,d2)))
| or(f1,or(b2,d1)) = not(and(d3,and(b1,d2))) ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),d1),or(f1,or(b2,d1))) )],[refute_0_2877,refute_0_2878]) ).
cnf(refute_0_2880,plain,
or(f1,or(b2,d1)) = not(and(d3,and(b1,d2))),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),d1),not(and(d3,and(b1,d2)))) )],[refute_0_2860,refute_0_2879]) ).
cnf(refute_0_2881,plain,
( or(f1,or(b2,d1)) != not(and(d3,and(b1,d2)))
| not(and(d3,and(b1,d2))) = or(f1,or(b2,d1)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(f1,or(b2,d1)))),bind(Y0,$fot(not(and(d3,and(b1,d2)))))]]) ).
cnf(refute_0_2882,plain,
not(and(d3,and(b1,d2))) = or(f1,or(b2,d1)),
inference(resolve,[$cnf( $equal(or(f1,or(b2,d1)),not(and(d3,and(b1,d2)))) )],[refute_0_2880,refute_0_2881]) ).
cnf(refute_0_2883,plain,
( not(and(and(d3,and(b1,d2)),d2)) != or(b2,not(and(d3,and(b1,d2))))
| not(and(d3,and(b1,d2))) != or(f1,or(b2,d1))
| not(and(and(d3,and(b1,d2)),d2)) = or(b2,or(f1,or(b2,d1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d3,and(b1,d2)),d2)),or(b2,not(and(d3,and(b1,d2))))) ),[1,1],$fot(or(f1,or(b2,d1)))]]) ).
cnf(refute_0_2884,plain,
( not(and(and(d3,and(b1,d2)),d2)) != or(b2,not(and(d3,and(b1,d2))))
| not(and(and(d3,and(b1,d2)),d2)) = or(b2,or(f1,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(not(and(d3,and(b1,d2))),or(f1,or(b2,d1))) )],[refute_0_2882,refute_0_2883]) ).
cnf(refute_0_2885,plain,
not(and(and(d3,and(b1,d2)),d2)) = or(b2,or(f1,or(b2,d1))),
inference(resolve,[$cnf( $equal(not(and(and(d3,and(b1,d2)),d2)),or(b2,not(and(d3,and(b1,d2))))) )],[refute_0_2773,refute_0_2884]) ).
cnf(refute_0_2886,plain,
and(and(d2,d3),and(Y,not(and(d2,d3)))) = n0,
inference(subst,[],[refute_0_206:[bind(X,$fot(and(d2,d3)))]]) ).
cnf(refute_0_2887,plain,
or(X_58,or(X_59,not(X_58))) = n1,
inference(subst,[],[refute_0_69:[bind(X,$fot(X_58)),bind(Y,$fot(X_59))]]) ).
cnf(refute_0_2888,plain,
or(not(X_58),X_59) = or(X_59,not(X_58)),
inference(subst,[],[or_commutativity:[bind(X,$fot(not(X_58))),bind(Y,$fot(X_59))]]) ).
cnf(refute_0_2889,plain,
( or(not(X_58),X_59) != or(X_59,not(X_58))
| or(X_59,not(X_58)) = or(not(X_58),X_59) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(not(X_58),X_59))),bind(Y0,$fot(or(X_59,not(X_58))))]]) ).
cnf(refute_0_2890,plain,
or(X_59,not(X_58)) = or(not(X_58),X_59),
inference(resolve,[$cnf( $equal(or(not(X_58),X_59),or(X_59,not(X_58))) )],[refute_0_2888,refute_0_2889]) ).
cnf(refute_0_2891,plain,
( or(X_58,or(X_59,not(X_58))) != n1
| or(X_59,not(X_58)) != or(not(X_58),X_59)
| or(X_58,or(not(X_58),X_59)) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(X_58,or(X_59,not(X_58))),n1) ),[0,1],$fot(or(not(X_58),X_59))]]) ).
cnf(refute_0_2892,plain,
( or(X_58,or(X_59,not(X_58))) != n1
| or(X_58,or(not(X_58),X_59)) = n1 ),
inference(resolve,[$cnf( $equal(or(X_59,not(X_58)),or(not(X_58),X_59)) )],[refute_0_2890,refute_0_2891]) ).
cnf(refute_0_2893,plain,
or(X_58,or(not(X_58),X_59)) = n1,
inference(resolve,[$cnf( $equal(or(X_58,or(X_59,not(X_58))),n1) )],[refute_0_2887,refute_0_2892]) ).
cnf(refute_0_2894,plain,
or(not(X),or(not(not(X)),X_100)) = n1,
inference(subst,[],[refute_0_2893:[bind(X_58,$fot(not(X))),bind(X_59,$fot(X_100))]]) ).
cnf(refute_0_2895,plain,
( not(not(X)) != X
| or(not(X),or(not(not(X)),X_100)) != n1
| or(not(X),or(X,X_100)) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(X),or(not(not(X)),X_100)),n1) ),[0,1,0],$fot(X)]]) ).
cnf(refute_0_2896,plain,
( or(not(X),or(not(not(X)),X_100)) != n1
| or(not(X),or(X,X_100)) = n1 ),
inference(resolve,[$cnf( $equal(not(not(X)),X) )],[not_simplification,refute_0_2895]) ).
cnf(refute_0_2897,plain,
or(not(X),or(X,X_100)) = n1,
inference(resolve,[$cnf( $equal(or(not(X),or(not(not(X)),X_100)),n1) )],[refute_0_2894,refute_0_2896]) ).
cnf(refute_0_2898,plain,
or(not(d2),or(d2,f2)) = n1,
inference(subst,[],[refute_0_2897:[bind(X,$fot(d2)),bind(X_100,$fot(f2))]]) ).
cnf(refute_0_2899,plain,
( or(d2,f2) != not(d3)
| or(not(d2),or(d2,f2)) != n1
| or(not(d2),not(d3)) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(d2),or(d2,f2)),n1) ),[0,1],$fot(not(d3))]]) ).
cnf(refute_0_2900,plain,
( or(not(d2),or(d2,f2)) != n1
| or(not(d2),not(d3)) = n1 ),
inference(resolve,[$cnf( $equal(or(d2,f2),not(d3)) )],[refute_0_504,refute_0_2899]) ).
cnf(refute_0_2901,plain,
or(not(d2),not(d3)) = n1,
inference(resolve,[$cnf( $equal(or(not(d2),or(d2,f2)),n1) )],[refute_0_2898,refute_0_2900]) ).
cnf(refute_0_2902,plain,
or(not(d2),not(d3)) = not(and(d2,d3)),
inference(subst,[],[refute_0_1135:[bind(X,$fot(d2)),bind(Y,$fot(d3))]]) ).
cnf(refute_0_2903,plain,
( or(not(d2),not(d3)) != n1
| or(not(d2),not(d3)) != not(and(d2,d3))
| not(and(d2,d3)) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(or(not(d2),not(d3)),n1) ),[0],$fot(not(and(d2,d3)))]]) ).
cnf(refute_0_2904,plain,
( or(not(d2),not(d3)) != n1
| not(and(d2,d3)) = n1 ),
inference(resolve,[$cnf( $equal(or(not(d2),not(d3)),not(and(d2,d3))) )],[refute_0_2902,refute_0_2903]) ).
cnf(refute_0_2905,plain,
not(and(d2,d3)) = n1,
inference(resolve,[$cnf( $equal(or(not(d2),not(d3)),n1) )],[refute_0_2901,refute_0_2904]) ).
cnf(refute_0_2906,plain,
( and(and(d2,d3),and(Y,not(and(d2,d3)))) != n0
| not(and(d2,d3)) != n1
| and(and(d2,d3),and(Y,n1)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d2,d3),and(Y,not(and(d2,d3)))),n0) ),[0,1,1],$fot(n1)]]) ).
cnf(refute_0_2907,plain,
( and(and(d2,d3),and(Y,not(and(d2,d3)))) != n0
| and(and(d2,d3),and(Y,n1)) = n0 ),
inference(resolve,[$cnf( $equal(not(and(d2,d3)),n1) )],[refute_0_2905,refute_0_2906]) ).
cnf(refute_0_2908,plain,
and(and(d2,d3),and(Y,n1)) = n0,
inference(resolve,[$cnf( $equal(and(and(d2,d3),and(Y,not(and(d2,d3)))),n0) )],[refute_0_2886,refute_0_2907]) ).
cnf(refute_0_2909,plain,
and(d3,and(Y,n1)) = and(d3,and(Y,n1)),
introduced(tautology,[refl,[$fot(and(d3,and(Y,n1)))]]) ).
cnf(refute_0_2910,plain,
( and(Y,n1) != Y
| and(d3,and(Y,n1)) != and(d3,and(Y,n1))
| and(d3,and(Y,n1)) = and(d3,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(d3,and(Y,n1)),and(d3,and(Y,n1))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_2911,plain,
( and(Y,n1) != Y
| and(d3,and(Y,n1)) = and(d3,Y) ),
inference(resolve,[$cnf( $equal(and(d3,and(Y,n1)),and(d3,and(Y,n1))) )],[refute_0_2909,refute_0_2910]) ).
cnf(refute_0_2912,plain,
and(d3,and(Y,n1)) = and(d3,Y),
inference(resolve,[$cnf( $equal(and(Y,n1),Y) )],[refute_0_1383,refute_0_2911]) ).
cnf(refute_0_2913,plain,
and(d2,and(d3,and(Y,n1))) = and(d2,and(d3,and(Y,n1))),
introduced(tautology,[refl,[$fot(and(d2,and(d3,and(Y,n1))))]]) ).
cnf(refute_0_2914,plain,
( and(d2,and(d3,and(Y,n1))) != and(d2,and(d3,and(Y,n1)))
| and(d3,and(Y,n1)) != and(d3,Y)
| and(d2,and(d3,and(Y,n1))) = and(d2,and(d3,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(d3,and(Y,n1))),and(d2,and(d3,and(Y,n1)))) ),[1,1],$fot(and(d3,Y))]]) ).
cnf(refute_0_2915,plain,
( and(d3,and(Y,n1)) != and(d3,Y)
| and(d2,and(d3,and(Y,n1))) = and(d2,and(d3,Y)) ),
inference(resolve,[$cnf( $equal(and(d2,and(d3,and(Y,n1))),and(d2,and(d3,and(Y,n1)))) )],[refute_0_2913,refute_0_2914]) ).
cnf(refute_0_2916,plain,
and(d2,and(d3,and(Y,n1))) = and(d2,and(d3,Y)),
inference(resolve,[$cnf( $equal(and(d3,and(Y,n1)),and(d3,Y)) )],[refute_0_2912,refute_0_2915]) ).
cnf(refute_0_2917,plain,
and(and(d2,d3),and(Y,n1)) = and(d2,and(d3,and(Y,n1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(d2)),bind(Y,$fot(d3)),bind(Z,$fot(and(Y,n1)))]]) ).
cnf(refute_0_2918,plain,
( and(and(d2,d3),and(Y,n1)) != and(d2,and(d3,and(Y,n1)))
| and(d2,and(d3,and(Y,n1))) != and(d2,and(d3,Y))
| and(and(d2,d3),and(Y,n1)) = and(d2,and(d3,Y)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(d2,d3),and(Y,n1)))),bind(Y0,$fot(and(d2,and(d3,and(Y,n1))))),bind(Z0,$fot(and(d2,and(d3,Y))))]]) ).
cnf(refute_0_2919,plain,
( and(d2,and(d3,and(Y,n1))) != and(d2,and(d3,Y))
| and(and(d2,d3),and(Y,n1)) = and(d2,and(d3,Y)) ),
inference(resolve,[$cnf( $equal(and(and(d2,d3),and(Y,n1)),and(d2,and(d3,and(Y,n1)))) )],[refute_0_2917,refute_0_2918]) ).
cnf(refute_0_2920,plain,
and(and(d2,d3),and(Y,n1)) = and(d2,and(d3,Y)),
inference(resolve,[$cnf( $equal(and(d2,and(d3,and(Y,n1))),and(d2,and(d3,Y))) )],[refute_0_2916,refute_0_2919]) ).
cnf(refute_0_2921,plain,
( and(and(d2,d3),and(Y,n1)) != and(d2,and(d3,Y))
| and(and(d2,d3),and(Y,n1)) != n0
| and(d2,and(d3,Y)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(d2,d3),and(Y,n1)),n0) ),[0],$fot(and(d2,and(d3,Y)))]]) ).
cnf(refute_0_2922,plain,
( and(and(d2,d3),and(Y,n1)) != n0
| and(d2,and(d3,Y)) = n0 ),
inference(resolve,[$cnf( $equal(and(and(d2,d3),and(Y,n1)),and(d2,and(d3,Y))) )],[refute_0_2920,refute_0_2921]) ).
cnf(refute_0_2923,plain,
and(d2,and(d3,Y)) = n0,
inference(resolve,[$cnf( $equal(and(and(d2,d3),and(Y,n1)),n0) )],[refute_0_2908,refute_0_2922]) ).
cnf(refute_0_2924,plain,
and(d2,and(d3,and(b1,d2))) = n0,
inference(subst,[],[refute_0_2923:[bind(Y,$fot(and(b1,d2)))]]) ).
cnf(refute_0_2925,plain,
not(and(d2,and(d3,and(b1,d2)))) = not(and(d2,and(d3,and(b1,d2)))),
introduced(tautology,[refl,[$fot(not(and(d2,and(d3,and(b1,d2)))))]]) ).
cnf(refute_0_2926,plain,
( and(d2,and(d3,and(b1,d2))) != n0
| not(and(d2,and(d3,and(b1,d2)))) != not(and(d2,and(d3,and(b1,d2))))
| not(and(d2,and(d3,and(b1,d2)))) = not(n0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,and(d3,and(b1,d2)))),not(and(d2,and(d3,and(b1,d2))))) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_2927,plain,
( and(d2,and(d3,and(b1,d2))) != n0
| not(and(d2,and(d3,and(b1,d2)))) = not(n0) ),
inference(resolve,[$cnf( $equal(not(and(d2,and(d3,and(b1,d2)))),not(and(d2,and(d3,and(b1,d2))))) )],[refute_0_2925,refute_0_2926]) ).
cnf(refute_0_2928,plain,
not(and(d2,and(d3,and(b1,d2)))) = not(n0),
inference(resolve,[$cnf( $equal(and(d2,and(d3,and(b1,d2))),n0) )],[refute_0_2924,refute_0_2927]) ).
cnf(refute_0_2929,plain,
( not(and(d2,and(d3,and(b1,d2)))) != not(n0)
| not(n0) != n1
| not(and(d2,and(d3,and(b1,d2)))) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(d2,and(d3,and(b1,d2)))))),bind(Y0,$fot(not(n0))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_2930,plain,
( not(n0) != n1
| not(and(d2,and(d3,and(b1,d2)))) = n1 ),
inference(resolve,[$cnf( $equal(not(and(d2,and(d3,and(b1,d2)))),not(n0)) )],[refute_0_2928,refute_0_2929]) ).
cnf(refute_0_2931,plain,
not(and(d2,and(d3,and(b1,d2)))) = n1,
inference(resolve,[$cnf( $equal(not(n0),n1) )],[not_definition1,refute_0_2930]) ).
cnf(refute_0_2932,plain,
not(and(and(d3,and(b1,d2)),d2)) = not(and(d2,and(d3,and(b1,d2)))),
inference(subst,[],[refute_0_338:[bind(X_112,$fot(and(d3,and(b1,d2))))]]) ).
cnf(refute_0_2933,plain,
( not(and(and(d3,and(b1,d2)),d2)) != not(and(d2,and(d3,and(b1,d2))))
| not(and(d2,and(d3,and(b1,d2)))) != n1
| not(and(and(d3,and(b1,d2)),d2)) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(d3,and(b1,d2)),d2)))),bind(Y0,$fot(not(and(d2,and(d3,and(b1,d2)))))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_2934,plain,
( not(and(d2,and(d3,and(b1,d2)))) != n1
| not(and(and(d3,and(b1,d2)),d2)) = n1 ),
inference(resolve,[$cnf( $equal(not(and(and(d3,and(b1,d2)),d2)),not(and(d2,and(d3,and(b1,d2))))) )],[refute_0_2932,refute_0_2933]) ).
cnf(refute_0_2935,plain,
not(and(and(d3,and(b1,d2)),d2)) = n1,
inference(resolve,[$cnf( $equal(not(and(d2,and(d3,and(b1,d2)))),n1) )],[refute_0_2931,refute_0_2934]) ).
cnf(refute_0_2936,plain,
( not(and(and(d3,and(b1,d2)),d2)) != n1
| not(and(and(d3,and(b1,d2)),d2)) != or(b2,or(f1,or(b2,d1)))
| n1 = or(b2,or(f1,or(b2,d1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d3,and(b1,d2)),d2)),or(b2,or(f1,or(b2,d1)))) ),[0],$fot(n1)]]) ).
cnf(refute_0_2937,plain,
( not(and(and(d3,and(b1,d2)),d2)) != or(b2,or(f1,or(b2,d1)))
| n1 = or(b2,or(f1,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(not(and(and(d3,and(b1,d2)),d2)),n1) )],[refute_0_2935,refute_0_2936]) ).
cnf(refute_0_2938,plain,
n1 = or(b2,or(f1,or(b2,d1))),
inference(resolve,[$cnf( $equal(not(and(and(d3,and(b1,d2)),d2)),or(b2,or(f1,or(b2,d1)))) )],[refute_0_2885,refute_0_2937]) ).
cnf(refute_0_2939,plain,
( n1 != or(b2,or(f1,or(b2,d1)))
| or(b2,or(f1,or(b2,d1))) = n1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(or(b2,or(f1,or(b2,d1)))))]]) ).
cnf(refute_0_2940,plain,
or(b2,or(f1,or(b2,d1))) = n1,
inference(resolve,[$cnf( $equal(n1,or(b2,or(f1,or(b2,d1)))) )],[refute_0_2938,refute_0_2939]) ).
cnf(refute_0_2941,plain,
( or(b2,or(f1,or(b2,d1))) != n1
| or(or(f1,or(b2,d1)),or(b2,or(f1,or(b2,d1)))) != or(or(f1,or(b2,d1)),b2)
| or(or(f1,or(b2,d1)),n1) = or(or(f1,or(b2,d1)),b2) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(f1,or(b2,d1)),or(b2,or(f1,or(b2,d1)))),or(or(f1,or(b2,d1)),b2)) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_2942,plain,
( or(or(f1,or(b2,d1)),or(b2,or(f1,or(b2,d1)))) != or(or(f1,or(b2,d1)),b2)
| or(or(f1,or(b2,d1)),n1) = or(or(f1,or(b2,d1)),b2) ),
inference(resolve,[$cnf( $equal(or(b2,or(f1,or(b2,d1))),n1) )],[refute_0_2940,refute_0_2941]) ).
cnf(refute_0_2943,plain,
or(or(f1,or(b2,d1)),n1) = or(or(f1,or(b2,d1)),b2),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),or(b2,or(f1,or(b2,d1)))),or(or(f1,or(b2,d1)),b2)) )],[refute_0_2772,refute_0_2942]) ).
cnf(refute_0_2944,plain,
or(f1,n1) = n1,
inference(subst,[],[or_definition2:[bind(X,$fot(f1))]]) ).
cnf(refute_0_2945,plain,
or(n1,or(b2,d1)) = n1,
inference(subst,[],[refute_0_1879:[bind(X,$fot(or(b2,d1)))]]) ).
cnf(refute_0_2946,plain,
or(f1,or(n1,or(b2,d1))) = or(f1,or(n1,or(b2,d1))),
introduced(tautology,[refl,[$fot(or(f1,or(n1,or(b2,d1))))]]) ).
cnf(refute_0_2947,plain,
( or(f1,or(n1,or(b2,d1))) != or(f1,or(n1,or(b2,d1)))
| or(n1,or(b2,d1)) != n1
| or(f1,or(n1,or(b2,d1))) = or(f1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(n1,or(b2,d1))),or(f1,or(n1,or(b2,d1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_2948,plain,
( or(n1,or(b2,d1)) != n1
| or(f1,or(n1,or(b2,d1))) = or(f1,n1) ),
inference(resolve,[$cnf( $equal(or(f1,or(n1,or(b2,d1))),or(f1,or(n1,or(b2,d1)))) )],[refute_0_2946,refute_0_2947]) ).
cnf(refute_0_2949,plain,
or(f1,or(n1,or(b2,d1))) = or(f1,n1),
inference(resolve,[$cnf( $equal(or(n1,or(b2,d1)),n1) )],[refute_0_2945,refute_0_2948]) ).
cnf(refute_0_2950,plain,
( or(f1,n1) != n1
| or(f1,or(n1,or(b2,d1))) != or(f1,n1)
| or(f1,or(n1,or(b2,d1))) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(f1,or(n1,or(b2,d1))))),bind(Y0,$fot(or(f1,n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_2951,plain,
( or(f1,n1) != n1
| or(f1,or(n1,or(b2,d1))) = n1 ),
inference(resolve,[$cnf( $equal(or(f1,or(n1,or(b2,d1))),or(f1,n1)) )],[refute_0_2949,refute_0_2950]) ).
cnf(refute_0_2952,plain,
or(f1,or(n1,or(b2,d1))) = n1,
inference(resolve,[$cnf( $equal(or(f1,n1),n1) )],[refute_0_2944,refute_0_2951]) ).
cnf(refute_0_2953,plain,
or(f1,or(or(b2,d1),n1)) = or(f1,or(n1,or(b2,d1))),
inference(subst,[],[refute_0_1901:[bind(X,$fot(f1)),bind(Y,$fot(n1)),bind(Z,$fot(or(b2,d1)))]]) ).
cnf(refute_0_2954,plain,
or(or(f1,or(b2,d1)),n1) = or(f1,or(or(b2,d1),n1)),
inference(subst,[],[refute_0_65:[bind(X,$fot(f1)),bind(Y,$fot(or(b2,d1))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_2955,plain,
( or(f1,or(or(b2,d1),n1)) != or(f1,or(n1,or(b2,d1)))
| or(or(f1,or(b2,d1)),n1) != or(f1,or(or(b2,d1),n1))
| or(or(f1,or(b2,d1)),n1) = or(f1,or(n1,or(b2,d1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(f1,or(b2,d1)),n1))),bind(Y0,$fot(or(f1,or(or(b2,d1),n1)))),bind(Z0,$fot(or(f1,or(n1,or(b2,d1)))))]]) ).
cnf(refute_0_2956,plain,
( or(f1,or(or(b2,d1),n1)) != or(f1,or(n1,or(b2,d1)))
| or(or(f1,or(b2,d1)),n1) = or(f1,or(n1,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),n1),or(f1,or(or(b2,d1),n1))) )],[refute_0_2954,refute_0_2955]) ).
cnf(refute_0_2957,plain,
or(or(f1,or(b2,d1)),n1) = or(f1,or(n1,or(b2,d1))),
inference(resolve,[$cnf( $equal(or(f1,or(or(b2,d1),n1)),or(f1,or(n1,or(b2,d1)))) )],[refute_0_2953,refute_0_2956]) ).
cnf(refute_0_2958,plain,
( or(f1,or(n1,or(b2,d1))) != n1
| or(or(f1,or(b2,d1)),n1) != or(f1,or(n1,or(b2,d1)))
| or(or(f1,or(b2,d1)),n1) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(f1,or(b2,d1)),n1))),bind(Y0,$fot(or(f1,or(n1,or(b2,d1))))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_2959,plain,
( or(f1,or(n1,or(b2,d1))) != n1
| or(or(f1,or(b2,d1)),n1) = n1 ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),n1),or(f1,or(n1,or(b2,d1)))) )],[refute_0_2957,refute_0_2958]) ).
cnf(refute_0_2960,plain,
or(or(f1,or(b2,d1)),n1) = n1,
inference(resolve,[$cnf( $equal(or(f1,or(n1,or(b2,d1))),n1) )],[refute_0_2952,refute_0_2959]) ).
cnf(refute_0_2961,plain,
( or(or(f1,or(b2,d1)),n1) != n1
| or(or(f1,or(b2,d1)),n1) != or(or(f1,or(b2,d1)),b2)
| n1 = or(or(f1,or(b2,d1)),b2) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(f1,or(b2,d1)),n1),or(or(f1,or(b2,d1)),b2)) ),[0],$fot(n1)]]) ).
cnf(refute_0_2962,plain,
( or(or(f1,or(b2,d1)),n1) != or(or(f1,or(b2,d1)),b2)
| n1 = or(or(f1,or(b2,d1)),b2) ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),n1),n1) )],[refute_0_2960,refute_0_2961]) ).
cnf(refute_0_2963,plain,
or(X_77,or(X_78,X_77)) = or(X_77,X_78),
inference(subst,[],[refute_0_345:[bind(X,$fot(X_77)),bind(Y,$fot(X_78))]]) ).
cnf(refute_0_2964,plain,
or(X_77,X_78) = or(X_78,X_77),
inference(subst,[],[or_commutativity:[bind(X,$fot(X_77)),bind(Y,$fot(X_78))]]) ).
cnf(refute_0_2965,plain,
( or(X_77,X_78) != or(X_78,X_77)
| or(X_78,X_77) = or(X_77,X_78) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(X_77,X_78))),bind(Y0,$fot(or(X_78,X_77)))]]) ).
cnf(refute_0_2966,plain,
or(X_78,X_77) = or(X_77,X_78),
inference(resolve,[$cnf( $equal(or(X_77,X_78),or(X_78,X_77)) )],[refute_0_2964,refute_0_2965]) ).
cnf(refute_0_2967,plain,
( or(X_77,or(X_78,X_77)) != or(X_77,X_78)
| or(X_78,X_77) != or(X_77,X_78)
| or(X_77,or(X_77,X_78)) = or(X_77,X_78) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_77,or(X_78,X_77)),or(X_77,X_78)) ),[0,1],$fot(or(X_77,X_78))]]) ).
cnf(refute_0_2968,plain,
( or(X_77,or(X_78,X_77)) != or(X_77,X_78)
| or(X_77,or(X_77,X_78)) = or(X_77,X_78) ),
inference(resolve,[$cnf( $equal(or(X_78,X_77),or(X_77,X_78)) )],[refute_0_2966,refute_0_2967]) ).
cnf(refute_0_2969,plain,
or(X_77,or(X_77,X_78)) = or(X_77,X_78),
inference(resolve,[$cnf( $equal(or(X_77,or(X_78,X_77)),or(X_77,X_78)) )],[refute_0_2963,refute_0_2968]) ).
cnf(refute_0_2970,plain,
or(b2,or(b2,d1)) = or(b2,d1),
inference(subst,[],[refute_0_2969:[bind(X_77,$fot(b2)),bind(X_78,$fot(d1))]]) ).
cnf(refute_0_2971,plain,
or(f1,or(b2,or(b2,d1))) = or(f1,or(b2,or(b2,d1))),
introduced(tautology,[refl,[$fot(or(f1,or(b2,or(b2,d1))))]]) ).
cnf(refute_0_2972,plain,
( or(b2,or(b2,d1)) != or(b2,d1)
| or(f1,or(b2,or(b2,d1))) != or(f1,or(b2,or(b2,d1)))
| or(f1,or(b2,or(b2,d1))) = or(f1,or(b2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(f1,or(b2,or(b2,d1))),or(f1,or(b2,or(b2,d1)))) ),[1,1],$fot(or(b2,d1))]]) ).
cnf(refute_0_2973,plain,
( or(b2,or(b2,d1)) != or(b2,d1)
| or(f1,or(b2,or(b2,d1))) = or(f1,or(b2,d1)) ),
inference(resolve,[$cnf( $equal(or(f1,or(b2,or(b2,d1))),or(f1,or(b2,or(b2,d1)))) )],[refute_0_2971,refute_0_2972]) ).
cnf(refute_0_2974,plain,
or(f1,or(b2,or(b2,d1))) = or(f1,or(b2,d1)),
inference(resolve,[$cnf( $equal(or(b2,or(b2,d1)),or(b2,d1)) )],[refute_0_2970,refute_0_2973]) ).
cnf(refute_0_2975,plain,
or(f1,or(or(b2,d1),b2)) = or(f1,or(b2,or(b2,d1))),
inference(subst,[],[refute_0_1901:[bind(X,$fot(f1)),bind(Y,$fot(b2)),bind(Z,$fot(or(b2,d1)))]]) ).
cnf(refute_0_2976,plain,
or(or(f1,or(b2,d1)),b2) = or(f1,or(or(b2,d1),b2)),
inference(subst,[],[refute_0_65:[bind(X,$fot(f1)),bind(Y,$fot(or(b2,d1))),bind(Z,$fot(b2))]]) ).
cnf(refute_0_2977,plain,
( or(f1,or(or(b2,d1),b2)) != or(f1,or(b2,or(b2,d1)))
| or(or(f1,or(b2,d1)),b2) != or(f1,or(or(b2,d1),b2))
| or(or(f1,or(b2,d1)),b2) = or(f1,or(b2,or(b2,d1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(f1,or(b2,d1)),b2))),bind(Y0,$fot(or(f1,or(or(b2,d1),b2)))),bind(Z0,$fot(or(f1,or(b2,or(b2,d1)))))]]) ).
cnf(refute_0_2978,plain,
( or(f1,or(or(b2,d1),b2)) != or(f1,or(b2,or(b2,d1)))
| or(or(f1,or(b2,d1)),b2) = or(f1,or(b2,or(b2,d1))) ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),b2),or(f1,or(or(b2,d1),b2))) )],[refute_0_2976,refute_0_2977]) ).
cnf(refute_0_2979,plain,
or(or(f1,or(b2,d1)),b2) = or(f1,or(b2,or(b2,d1))),
inference(resolve,[$cnf( $equal(or(f1,or(or(b2,d1),b2)),or(f1,or(b2,or(b2,d1)))) )],[refute_0_2975,refute_0_2978]) ).
cnf(refute_0_2980,plain,
( or(f1,or(b2,or(b2,d1))) != or(f1,or(b2,d1))
| or(or(f1,or(b2,d1)),b2) != or(f1,or(b2,or(b2,d1)))
| or(or(f1,or(b2,d1)),b2) = or(f1,or(b2,d1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(f1,or(b2,d1)),b2))),bind(Y0,$fot(or(f1,or(b2,or(b2,d1))))),bind(Z0,$fot(or(f1,or(b2,d1))))]]) ).
cnf(refute_0_2981,plain,
( or(f1,or(b2,or(b2,d1))) != or(f1,or(b2,d1))
| or(or(f1,or(b2,d1)),b2) = or(f1,or(b2,d1)) ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),b2),or(f1,or(b2,or(b2,d1)))) )],[refute_0_2979,refute_0_2980]) ).
cnf(refute_0_2982,plain,
or(or(f1,or(b2,d1)),b2) = or(f1,or(b2,d1)),
inference(resolve,[$cnf( $equal(or(f1,or(b2,or(b2,d1))),or(f1,or(b2,d1))) )],[refute_0_2974,refute_0_2981]) ).
cnf(refute_0_2983,plain,
( n1 != or(or(f1,or(b2,d1)),b2)
| or(or(f1,or(b2,d1)),b2) != or(f1,or(b2,d1))
| n1 = or(f1,or(b2,d1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(n1,or(f1,or(b2,d1))) ),[0],$fot(or(or(f1,or(b2,d1)),b2))]]) ).
cnf(refute_0_2984,plain,
( n1 != or(or(f1,or(b2,d1)),b2)
| n1 = or(f1,or(b2,d1)) ),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),b2),or(f1,or(b2,d1))) )],[refute_0_2982,refute_0_2983]) ).
cnf(refute_0_2985,plain,
( or(or(f1,or(b2,d1)),n1) != or(or(f1,or(b2,d1)),b2)
| n1 = or(f1,or(b2,d1)) ),
inference(resolve,[$cnf( $equal(n1,or(or(f1,or(b2,d1)),b2)) )],[refute_0_2962,refute_0_2984]) ).
cnf(refute_0_2986,plain,
n1 = or(f1,or(b2,d1)),
inference(resolve,[$cnf( $equal(or(or(f1,or(b2,d1)),n1),or(or(f1,or(b2,d1)),b2)) )],[refute_0_2943,refute_0_2985]) ).
cnf(refute_0_2987,plain,
( n1 != or(f1,or(b2,d1))
| or(f1,or(b2,d1)) = n1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(or(f1,or(b2,d1))))]]) ).
cnf(refute_0_2988,plain,
or(f1,or(b2,d1)) = n1,
inference(resolve,[$cnf( $equal(n1,or(f1,or(b2,d1))) )],[refute_0_2986,refute_0_2987]) ).
cnf(refute_0_2989,plain,
and(Y,or(f1,or(b2,d1))) = and(Y,or(f1,or(b2,d1))),
introduced(tautology,[refl,[$fot(and(Y,or(f1,or(b2,d1))))]]) ).
cnf(refute_0_2990,plain,
( and(Y,or(f1,or(b2,d1))) != and(Y,or(f1,or(b2,d1)))
| or(f1,or(b2,d1)) != n1
| and(Y,or(f1,or(b2,d1))) = and(Y,n1) ),
introduced(tautology,[equality,[$cnf( $equal(and(Y,or(f1,or(b2,d1))),and(Y,or(f1,or(b2,d1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_2991,plain,
( or(f1,or(b2,d1)) != n1
| and(Y,or(f1,or(b2,d1))) = and(Y,n1) ),
inference(resolve,[$cnf( $equal(and(Y,or(f1,or(b2,d1))),and(Y,or(f1,or(b2,d1)))) )],[refute_0_2989,refute_0_2990]) ).
cnf(refute_0_2992,plain,
and(Y,or(f1,or(b2,d1))) = and(Y,n1),
inference(resolve,[$cnf( $equal(or(f1,or(b2,d1)),n1) )],[refute_0_2988,refute_0_2991]) ).
cnf(refute_0_2993,plain,
( and(Y,n1) != Y
| and(Y,or(f1,or(b2,d1))) != and(Y,n1)
| and(Y,or(f1,or(b2,d1))) = Y ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(Y,or(f1,or(b2,d1))))),bind(Y0,$fot(and(Y,n1))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_2994,plain,
( and(Y,n1) != Y
| and(Y,or(f1,or(b2,d1))) = Y ),
inference(resolve,[$cnf( $equal(and(Y,or(f1,or(b2,d1))),and(Y,n1)) )],[refute_0_2992,refute_0_2993]) ).
cnf(refute_0_2995,plain,
and(Y,or(f1,or(b2,d1))) = Y,
inference(resolve,[$cnf( $equal(and(Y,n1),Y) )],[refute_0_1383,refute_0_2994]) ).
cnf(refute_0_2996,plain,
and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) = and(or(b1,b2),and(Y,or(f1,or(b2,d1)))),
introduced(tautology,[refl,[$fot(and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))]]) ).
cnf(refute_0_2997,plain,
( and(Y,or(f1,or(b2,d1))) != Y
| and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) != and(or(b1,b2),and(Y,or(f1,or(b2,d1))))
| and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) = and(or(b1,b2),Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b1,b2),and(Y,or(f1,or(b2,d1)))),and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_2998,plain,
( and(Y,or(f1,or(b2,d1))) != Y
| and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) = and(or(b1,b2),Y) ),
inference(resolve,[$cnf( $equal(and(or(b1,b2),and(Y,or(f1,or(b2,d1)))),and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) )],[refute_0_2996,refute_0_2997]) ).
cnf(refute_0_2999,plain,
and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) = and(or(b1,b2),Y),
inference(resolve,[$cnf( $equal(and(Y,or(f1,or(b2,d1))),Y) )],[refute_0_2995,refute_0_2998]) ).
cnf(refute_0_3000,plain,
and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) = and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))),
introduced(tautology,[refl,[$fot(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))))]]) ).
cnf(refute_0_3001,plain,
( and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) != and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))
| and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) != and(or(b1,b2),Y)
| and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) = and(d2,and(or(b1,b2),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))),and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) ),[1,1],$fot(and(or(b1,b2),Y))]]) ).
cnf(refute_0_3002,plain,
( and(or(b1,b2),and(Y,or(f1,or(b2,d1)))) != and(or(b1,b2),Y)
| and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) = and(d2,and(or(b1,b2),Y)) ),
inference(resolve,[$cnf( $equal(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))),and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) )],[refute_0_3000,refute_0_3001]) ).
cnf(refute_0_3003,plain,
and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) = and(d2,and(or(b1,b2),Y)),
inference(resolve,[$cnf( $equal(and(or(b1,b2),and(Y,or(f1,or(b2,d1)))),and(or(b1,b2),Y)) )],[refute_0_2999,refute_0_3002]) ).
cnf(refute_0_3004,plain,
and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) = and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))),
introduced(tautology,[refl,[$fot(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))))]]) ).
cnf(refute_0_3005,plain,
( and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) != and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))))
| and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) != and(d2,and(or(b1,b2),Y))
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) = and(c1,and(d2,and(or(b1,b2),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))),and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))))) ),[1,1],$fot(and(d2,and(or(b1,b2),Y)))]]) ).
cnf(refute_0_3006,plain,
( and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))) != and(d2,and(or(b1,b2),Y))
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) = and(c1,and(d2,and(or(b1,b2),Y))) ),
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))),and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))))) )],[refute_0_3004,refute_0_3005]) ).
cnf(refute_0_3007,plain,
and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) = and(c1,and(d2,and(or(b1,b2),Y))),
inference(resolve,[$cnf( $equal(and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1))))),and(d2,and(or(b1,b2),Y))) )],[refute_0_3003,refute_0_3006]) ).
cnf(refute_0_3008,plain,
( and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) != and(c1,and(d2,and(or(b1,b2),Y)))
| and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) != n0
| and(c1,and(d2,and(or(b1,b2),Y))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))),n0) ),[0],$fot(and(c1,and(d2,and(or(b1,b2),Y))))]]) ).
cnf(refute_0_3009,plain,
( and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))) != n0
| and(c1,and(d2,and(or(b1,b2),Y))) = n0 ),
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))),and(c1,and(d2,and(or(b1,b2),Y)))) )],[refute_0_3007,refute_0_3008]) ).
cnf(refute_0_3010,plain,
and(c1,and(d2,and(or(b1,b2),Y))) = n0,
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),and(Y,or(f1,or(b2,d1)))))),n0) )],[refute_0_2771,refute_0_3009]) ).
cnf(refute_0_3011,plain,
and(n1,Y) = Y,
inference(subst,[],[refute_0_1358:[bind(X,$fot(Y))]]) ).
cnf(refute_0_3012,plain,
not(and(and(c2,d1),d2)) = or(b2,not(and(c2,d1))),
inference(subst,[],[refute_0_317:[bind(X_109,$fot(and(c2,d1)))]]) ).
cnf(refute_0_3013,plain,
( not(and(and(c2,d1),d2)) != or(b2,not(and(c2,d1)))
| not(and(c2,d1)) != or(b1,f2)
| not(and(and(c2,d1),d2)) = or(b2,or(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,d1),d2)),or(b2,not(and(c2,d1)))) ),[1,1],$fot(or(b1,f2))]]) ).
cnf(refute_0_3014,plain,
( not(and(and(c2,d1),d2)) != or(b2,not(and(c2,d1)))
| not(and(and(c2,d1),d2)) = or(b2,or(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(c2,d1)),or(b1,f2)) )],[refute_0_1727,refute_0_3013]) ).
cnf(refute_0_3015,plain,
not(and(and(c2,d1),d2)) = or(b2,or(b1,f2)),
inference(resolve,[$cnf( $equal(not(and(and(c2,d1),d2)),or(b2,not(and(c2,d1)))) )],[refute_0_3012,refute_0_3014]) ).
cnf(refute_0_3016,plain,
not(and(and(d2,i2),Y)) = or(not(and(d2,i2)),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(and(d2,i2)))]]) ).
cnf(refute_0_3017,plain,
( not(and(and(d2,i2),Y)) != or(not(and(d2,i2)),not(Y))
| not(and(d2,i2)) != b2
| not(and(and(d2,i2),Y)) = or(b2,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d2,i2),Y)),or(not(and(d2,i2)),not(Y))) ),[1,0],$fot(b2)]]) ).
cnf(refute_0_3018,plain,
( not(and(and(d2,i2),Y)) != or(not(and(d2,i2)),not(Y))
| not(and(and(d2,i2),Y)) = or(b2,not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(d2,i2)),b2) )],[refute_0_390,refute_0_3017]) ).
cnf(refute_0_3019,plain,
not(and(and(d2,i2),Y)) = or(b2,not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(d2,i2),Y)),or(not(and(d2,i2)),not(Y))) )],[refute_0_3016,refute_0_3018]) ).
cnf(refute_0_3020,plain,
and(and(d2,i2),Y) = and(d2,and(i2,Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(d2)),bind(Y,$fot(i2)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_3021,plain,
not(and(and(d2,i2),Y)) = not(and(and(d2,i2),Y)),
introduced(tautology,[refl,[$fot(not(and(and(d2,i2),Y)))]]) ).
cnf(refute_0_3022,plain,
( and(and(d2,i2),Y) != and(d2,and(i2,Y))
| not(and(and(d2,i2),Y)) != not(and(and(d2,i2),Y))
| not(and(and(d2,i2),Y)) = not(and(d2,and(i2,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d2,i2),Y)),not(and(and(d2,i2),Y))) ),[1,0],$fot(and(d2,and(i2,Y)))]]) ).
cnf(refute_0_3023,plain,
( and(and(d2,i2),Y) != and(d2,and(i2,Y))
| not(and(and(d2,i2),Y)) = not(and(d2,and(i2,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(d2,i2),Y)),not(and(and(d2,i2),Y))) )],[refute_0_3021,refute_0_3022]) ).
cnf(refute_0_3024,plain,
not(and(and(d2,i2),Y)) = not(and(d2,and(i2,Y))),
inference(resolve,[$cnf( $equal(and(and(d2,i2),Y),and(d2,and(i2,Y))) )],[refute_0_3020,refute_0_3023]) ).
cnf(refute_0_3025,plain,
( not(and(and(d2,i2),Y)) != not(and(d2,and(i2,Y)))
| not(and(and(d2,i2),Y)) != or(b2,not(Y))
| not(and(d2,and(i2,Y))) = or(b2,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(d2,i2),Y)),or(b2,not(Y))) ),[0],$fot(not(and(d2,and(i2,Y))))]]) ).
cnf(refute_0_3026,plain,
( not(and(and(d2,i2),Y)) != or(b2,not(Y))
| not(and(d2,and(i2,Y))) = or(b2,not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(d2,i2),Y)),not(and(d2,and(i2,Y)))) )],[refute_0_3024,refute_0_3025]) ).
cnf(refute_0_3027,plain,
or(b2,not(Y)) = not(and(Y,d2)),
inference(subst,[],[refute_0_332:[bind(X_109,$fot(Y))]]) ).
cnf(refute_0_3028,plain,
( not(and(d2,and(i2,Y))) != or(b2,not(Y))
| or(b2,not(Y)) != not(and(Y,d2))
| not(and(d2,and(i2,Y))) = not(and(Y,d2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(d2,and(i2,Y))),not(and(Y,d2))) ),[0],$fot(or(b2,not(Y)))]]) ).
cnf(refute_0_3029,plain,
( not(and(d2,and(i2,Y))) != or(b2,not(Y))
| not(and(d2,and(i2,Y))) = not(and(Y,d2)) ),
inference(resolve,[$cnf( $equal(or(b2,not(Y)),not(and(Y,d2))) )],[refute_0_3027,refute_0_3028]) ).
cnf(refute_0_3030,plain,
( not(and(and(d2,i2),Y)) != or(b2,not(Y))
| not(and(d2,and(i2,Y))) = not(and(Y,d2)) ),
inference(resolve,[$cnf( $equal(not(and(d2,and(i2,Y))),or(b2,not(Y))) )],[refute_0_3026,refute_0_3029]) ).
cnf(refute_0_3031,plain,
not(and(d2,and(i2,Y))) = not(and(Y,d2)),
inference(resolve,[$cnf( $equal(not(and(and(d2,i2),Y)),or(b2,not(Y))) )],[refute_0_3019,refute_0_3030]) ).
cnf(refute_0_3032,plain,
and(i2,Y) = and(i2,Y),
introduced(tautology,[refl,[$fot(and(i2,Y))]]) ).
cnf(refute_0_3033,plain,
( and(i2,Y) != and(i2,Y)
| i2 != c2
| and(i2,Y) = and(c2,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(i2,Y),and(i2,Y)) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_3034,plain,
( i2 != c2
| and(i2,Y) = and(c2,Y) ),
inference(resolve,[$cnf( $equal(and(i2,Y),and(i2,Y)) )],[refute_0_3032,refute_0_3033]) ).
cnf(refute_0_3035,plain,
and(i2,Y) = and(c2,Y),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_3034]) ).
cnf(refute_0_3036,plain,
and(d2,and(i2,Y)) = and(d2,and(i2,Y)),
introduced(tautology,[refl,[$fot(and(d2,and(i2,Y)))]]) ).
cnf(refute_0_3037,plain,
( and(d2,and(i2,Y)) != and(d2,and(i2,Y))
| and(i2,Y) != and(c2,Y)
| and(d2,and(i2,Y)) = and(d2,and(c2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(i2,Y)),and(d2,and(i2,Y))) ),[1,1],$fot(and(c2,Y))]]) ).
cnf(refute_0_3038,plain,
( and(i2,Y) != and(c2,Y)
| and(d2,and(i2,Y)) = and(d2,and(c2,Y)) ),
inference(resolve,[$cnf( $equal(and(d2,and(i2,Y)),and(d2,and(i2,Y))) )],[refute_0_3036,refute_0_3037]) ).
cnf(refute_0_3039,plain,
and(d2,and(i2,Y)) = and(d2,and(c2,Y)),
inference(resolve,[$cnf( $equal(and(i2,Y),and(c2,Y)) )],[refute_0_3035,refute_0_3038]) ).
cnf(refute_0_3040,plain,
not(and(d2,and(i2,Y))) = not(and(d2,and(i2,Y))),
introduced(tautology,[refl,[$fot(not(and(d2,and(i2,Y))))]]) ).
cnf(refute_0_3041,plain,
( and(d2,and(i2,Y)) != and(d2,and(c2,Y))
| not(and(d2,and(i2,Y))) != not(and(d2,and(i2,Y)))
| not(and(d2,and(i2,Y))) = not(and(d2,and(c2,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,and(i2,Y))),not(and(d2,and(i2,Y)))) ),[1,0],$fot(and(d2,and(c2,Y)))]]) ).
cnf(refute_0_3042,plain,
( and(d2,and(i2,Y)) != and(d2,and(c2,Y))
| not(and(d2,and(i2,Y))) = not(and(d2,and(c2,Y))) ),
inference(resolve,[$cnf( $equal(not(and(d2,and(i2,Y))),not(and(d2,and(i2,Y)))) )],[refute_0_3040,refute_0_3041]) ).
cnf(refute_0_3043,plain,
not(and(d2,and(i2,Y))) = not(and(d2,and(c2,Y))),
inference(resolve,[$cnf( $equal(and(d2,and(i2,Y)),and(d2,and(c2,Y))) )],[refute_0_3039,refute_0_3042]) ).
cnf(refute_0_3044,plain,
( not(and(d2,and(i2,Y))) != not(and(Y,d2))
| not(and(d2,and(i2,Y))) != not(and(d2,and(c2,Y)))
| not(and(d2,and(c2,Y))) = not(and(Y,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,and(i2,Y))),not(and(Y,d2))) ),[0],$fot(not(and(d2,and(c2,Y))))]]) ).
cnf(refute_0_3045,plain,
( not(and(d2,and(i2,Y))) != not(and(Y,d2))
| not(and(d2,and(c2,Y))) = not(and(Y,d2)) ),
inference(resolve,[$cnf( $equal(not(and(d2,and(i2,Y))),not(and(d2,and(c2,Y)))) )],[refute_0_3043,refute_0_3044]) ).
cnf(refute_0_3046,plain,
not(and(d2,and(c2,Y))) = not(and(Y,d2)),
inference(resolve,[$cnf( $equal(not(and(d2,and(i2,Y))),not(and(Y,d2))) )],[refute_0_3031,refute_0_3045]) ).
cnf(refute_0_3047,plain,
not(and(d2,and(c2,d1))) = not(and(d1,d2)),
inference(subst,[],[refute_0_3046:[bind(Y,$fot(d1))]]) ).
cnf(refute_0_3048,plain,
( not(and(d1,d2)) != or(b1,b2)
| not(and(d2,and(c2,d1))) != not(and(d1,d2))
| not(and(d2,and(c2,d1))) = or(b1,b2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(d2,and(c2,d1))))),bind(Y0,$fot(not(and(d1,d2)))),bind(Z0,$fot(or(b1,b2)))]]) ).
cnf(refute_0_3049,plain,
( not(and(d1,d2)) != or(b1,b2)
| not(and(d2,and(c2,d1))) = or(b1,b2) ),
inference(resolve,[$cnf( $equal(not(and(d2,and(c2,d1))),not(and(d1,d2))) )],[refute_0_3047,refute_0_3048]) ).
cnf(refute_0_3050,plain,
not(and(d2,and(c2,d1))) = or(b1,b2),
inference(resolve,[$cnf( $equal(not(and(d1,d2)),or(b1,b2)) )],[refute_0_2640,refute_0_3049]) ).
cnf(refute_0_3051,plain,
not(and(and(c2,d1),d2)) = not(and(d2,and(c2,d1))),
inference(subst,[],[refute_0_338:[bind(X_112,$fot(and(c2,d1)))]]) ).
cnf(refute_0_3052,plain,
( not(and(and(c2,d1),d2)) != not(and(d2,and(c2,d1)))
| not(and(d2,and(c2,d1))) != or(b1,b2)
| not(and(and(c2,d1),d2)) = or(b1,b2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(c2,d1),d2)))),bind(Y0,$fot(not(and(d2,and(c2,d1))))),bind(Z0,$fot(or(b1,b2)))]]) ).
cnf(refute_0_3053,plain,
( not(and(d2,and(c2,d1))) != or(b1,b2)
| not(and(and(c2,d1),d2)) = or(b1,b2) ),
inference(resolve,[$cnf( $equal(not(and(and(c2,d1),d2)),not(and(d2,and(c2,d1)))) )],[refute_0_3051,refute_0_3052]) ).
cnf(refute_0_3054,plain,
not(and(and(c2,d1),d2)) = or(b1,b2),
inference(resolve,[$cnf( $equal(not(and(d2,and(c2,d1))),or(b1,b2)) )],[refute_0_3050,refute_0_3053]) ).
cnf(refute_0_3055,plain,
( not(and(and(c2,d1),d2)) != or(b1,b2)
| not(and(and(c2,d1),d2)) != or(b2,or(b1,f2))
| or(b1,b2) = or(b2,or(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,d1),d2)),or(b2,or(b1,f2))) ),[0],$fot(or(b1,b2))]]) ).
cnf(refute_0_3056,plain,
( not(and(and(c2,d1),d2)) != or(b2,or(b1,f2))
| or(b1,b2) = or(b2,or(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(and(c2,d1),d2)),or(b1,b2)) )],[refute_0_3054,refute_0_3055]) ).
cnf(refute_0_3057,plain,
or(b1,b2) = or(b2,or(b1,f2)),
inference(resolve,[$cnf( $equal(not(and(and(c2,d1),d2)),or(b2,or(b1,f2))) )],[refute_0_3015,refute_0_3056]) ).
cnf(refute_0_3058,plain,
or(b2,n1) = n1,
inference(subst,[],[or_definition2:[bind(X,$fot(b2))]]) ).
cnf(refute_0_3059,plain,
or(b2,or(b1,f2)) = or(b2,or(b1,f2)),
introduced(tautology,[refl,[$fot(or(b2,or(b1,f2)))]]) ).
cnf(refute_0_3060,plain,
( or(b1,f2) != n1
| or(b2,or(b1,f2)) != or(b2,or(b1,f2))
| or(b2,or(b1,f2)) = or(b2,n1) ),
introduced(tautology,[equality,[$cnf( $equal(or(b2,or(b1,f2)),or(b2,or(b1,f2))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_3061,plain,
( or(b1,f2) != n1
| or(b2,or(b1,f2)) = or(b2,n1) ),
inference(resolve,[$cnf( $equal(or(b2,or(b1,f2)),or(b2,or(b1,f2))) )],[refute_0_3059,refute_0_3060]) ).
cnf(refute_0_3062,plain,
or(b2,or(b1,f2)) = or(b2,n1),
inference(resolve,[$cnf( $equal(or(b1,f2),n1) )],[refute_0_2217,refute_0_3061]) ).
cnf(refute_0_3063,plain,
( or(b2,n1) != n1
| or(b2,or(b1,f2)) != or(b2,n1)
| or(b2,or(b1,f2)) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(b2,or(b1,f2)))),bind(Y0,$fot(or(b2,n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_3064,plain,
( or(b2,n1) != n1
| or(b2,or(b1,f2)) = n1 ),
inference(resolve,[$cnf( $equal(or(b2,or(b1,f2)),or(b2,n1)) )],[refute_0_3062,refute_0_3063]) ).
cnf(refute_0_3065,plain,
or(b2,or(b1,f2)) = n1,
inference(resolve,[$cnf( $equal(or(b2,n1),n1) )],[refute_0_3058,refute_0_3064]) ).
cnf(refute_0_3066,plain,
( or(b1,b2) != or(b2,or(b1,f2))
| or(b2,or(b1,f2)) != n1
| or(b1,b2) = n1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(b1,b2),n1) ),[0],$fot(or(b2,or(b1,f2)))]]) ).
cnf(refute_0_3067,plain,
( or(b1,b2) != or(b2,or(b1,f2))
| or(b1,b2) = n1 ),
inference(resolve,[$cnf( $equal(or(b2,or(b1,f2)),n1) )],[refute_0_3065,refute_0_3066]) ).
cnf(refute_0_3068,plain,
or(b1,b2) = n1,
inference(resolve,[$cnf( $equal(or(b1,b2),or(b2,or(b1,f2))) )],[refute_0_3057,refute_0_3067]) ).
cnf(refute_0_3069,plain,
and(or(b1,b2),Y) = and(or(b1,b2),Y),
introduced(tautology,[refl,[$fot(and(or(b1,b2),Y))]]) ).
cnf(refute_0_3070,plain,
( and(or(b1,b2),Y) != and(or(b1,b2),Y)
| or(b1,b2) != n1
| and(or(b1,b2),Y) = and(n1,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(b1,b2),Y),and(or(b1,b2),Y)) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_3071,plain,
( or(b1,b2) != n1
| and(or(b1,b2),Y) = and(n1,Y) ),
inference(resolve,[$cnf( $equal(and(or(b1,b2),Y),and(or(b1,b2),Y)) )],[refute_0_3069,refute_0_3070]) ).
cnf(refute_0_3072,plain,
and(or(b1,b2),Y) = and(n1,Y),
inference(resolve,[$cnf( $equal(or(b1,b2),n1) )],[refute_0_3068,refute_0_3071]) ).
cnf(refute_0_3073,plain,
( and(n1,Y) != Y
| and(or(b1,b2),Y) != and(n1,Y)
| and(or(b1,b2),Y) = Y ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(or(b1,b2),Y))),bind(Y0,$fot(and(n1,Y))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_3074,plain,
( and(n1,Y) != Y
| and(or(b1,b2),Y) = Y ),
inference(resolve,[$cnf( $equal(and(or(b1,b2),Y),and(n1,Y)) )],[refute_0_3072,refute_0_3073]) ).
cnf(refute_0_3075,plain,
and(or(b1,b2),Y) = Y,
inference(resolve,[$cnf( $equal(and(n1,Y),Y) )],[refute_0_3011,refute_0_3074]) ).
cnf(refute_0_3076,plain,
and(d2,and(or(b1,b2),Y)) = and(d2,and(or(b1,b2),Y)),
introduced(tautology,[refl,[$fot(and(d2,and(or(b1,b2),Y)))]]) ).
cnf(refute_0_3077,plain,
( and(d2,and(or(b1,b2),Y)) != and(d2,and(or(b1,b2),Y))
| and(or(b1,b2),Y) != Y
| and(d2,and(or(b1,b2),Y)) = and(d2,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,and(or(b1,b2),Y)),and(d2,and(or(b1,b2),Y))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_3078,plain,
( and(or(b1,b2),Y) != Y
| and(d2,and(or(b1,b2),Y)) = and(d2,Y) ),
inference(resolve,[$cnf( $equal(and(d2,and(or(b1,b2),Y)),and(d2,and(or(b1,b2),Y))) )],[refute_0_3076,refute_0_3077]) ).
cnf(refute_0_3079,plain,
and(d2,and(or(b1,b2),Y)) = and(d2,Y),
inference(resolve,[$cnf( $equal(and(or(b1,b2),Y),Y) )],[refute_0_3075,refute_0_3078]) ).
cnf(refute_0_3080,plain,
and(c1,and(d2,and(or(b1,b2),Y))) = and(c1,and(d2,and(or(b1,b2),Y))),
introduced(tautology,[refl,[$fot(and(c1,and(d2,and(or(b1,b2),Y))))]]) ).
cnf(refute_0_3081,plain,
( and(c1,and(d2,and(or(b1,b2),Y))) != and(c1,and(d2,and(or(b1,b2),Y)))
| and(d2,and(or(b1,b2),Y)) != and(d2,Y)
| and(c1,and(d2,and(or(b1,b2),Y))) = and(c1,and(d2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),Y))),and(c1,and(d2,and(or(b1,b2),Y)))) ),[1,1],$fot(and(d2,Y))]]) ).
cnf(refute_0_3082,plain,
( and(d2,and(or(b1,b2),Y)) != and(d2,Y)
| and(c1,and(d2,and(or(b1,b2),Y))) = and(c1,and(d2,Y)) ),
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),Y))),and(c1,and(d2,and(or(b1,b2),Y)))) )],[refute_0_3080,refute_0_3081]) ).
cnf(refute_0_3083,plain,
and(c1,and(d2,and(or(b1,b2),Y))) = and(c1,and(d2,Y)),
inference(resolve,[$cnf( $equal(and(d2,and(or(b1,b2),Y)),and(d2,Y)) )],[refute_0_3079,refute_0_3082]) ).
cnf(refute_0_3084,plain,
( and(c1,and(d2,and(or(b1,b2),Y))) != and(c1,and(d2,Y))
| and(c1,and(d2,and(or(b1,b2),Y))) != n0
| and(c1,and(d2,Y)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),Y))),n0) ),[0],$fot(and(c1,and(d2,Y)))]]) ).
cnf(refute_0_3085,plain,
( and(c1,and(d2,and(or(b1,b2),Y))) != n0
| and(c1,and(d2,Y)) = n0 ),
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),Y))),and(c1,and(d2,Y))) )],[refute_0_3083,refute_0_3084]) ).
cnf(refute_0_3086,plain,
and(c1,and(d2,Y)) = n0,
inference(resolve,[$cnf( $equal(and(c1,and(d2,and(or(b1,b2),Y))),n0) )],[refute_0_3010,refute_0_3085]) ).
cnf(refute_0_3087,plain,
or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = or(and(c1,and(d2,Y)),and(Y,or(b2,f1))),
introduced(tautology,[refl,[$fot(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))))]]) ).
cnf(refute_0_3088,plain,
( and(c1,and(d2,Y)) != n0
| or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) != or(and(c1,and(d2,Y)),and(Y,or(b2,f1)))
| or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = or(n0,and(Y,or(b2,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))),or(and(c1,and(d2,Y)),and(Y,or(b2,f1)))) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_3089,plain,
( and(c1,and(d2,Y)) != n0
| or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = or(n0,and(Y,or(b2,f1))) ),
inference(resolve,[$cnf( $equal(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))),or(and(c1,and(d2,Y)),and(Y,or(b2,f1)))) )],[refute_0_3087,refute_0_3088]) ).
cnf(refute_0_3090,plain,
or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = or(n0,and(Y,or(b2,f1))),
inference(resolve,[$cnf( $equal(and(c1,and(d2,Y)),n0) )],[refute_0_3086,refute_0_3089]) ).
cnf(refute_0_3091,plain,
( or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) != or(n0,and(Y,or(b2,f1)))
| or(n0,and(Y,or(b2,f1))) != and(Y,or(b2,f1))
| or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = and(Y,or(b2,f1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))))),bind(Y0,$fot(or(n0,and(Y,or(b2,f1))))),bind(Z0,$fot(and(Y,or(b2,f1))))]]) ).
cnf(refute_0_3092,plain,
( or(n0,and(Y,or(b2,f1))) != and(Y,or(b2,f1))
| or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = and(Y,or(b2,f1)) ),
inference(resolve,[$cnf( $equal(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))),or(n0,and(Y,or(b2,f1)))) )],[refute_0_3090,refute_0_3091]) ).
cnf(refute_0_3093,plain,
or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) = and(Y,or(b2,f1)),
inference(resolve,[$cnf( $equal(or(n0,and(Y,or(b2,f1))),and(Y,or(b2,f1))) )],[refute_0_2628,refute_0_3092]) ).
cnf(refute_0_3094,plain,
( or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) != Y
| or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) != and(Y,or(b2,f1))
| and(Y,or(b2,f1)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))),Y) ),[0],$fot(and(Y,or(b2,f1)))]]) ).
cnf(refute_0_3095,plain,
( or(and(c1,and(d2,Y)),and(Y,or(b2,f1))) != Y
| and(Y,or(b2,f1)) = Y ),
inference(resolve,[$cnf( $equal(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))),and(Y,or(b2,f1))) )],[refute_0_3093,refute_0_3094]) ).
cnf(refute_0_3096,plain,
and(Y,or(b2,f1)) = Y,
inference(resolve,[$cnf( $equal(or(and(c1,and(d2,Y)),and(Y,or(b2,f1))),Y) )],[refute_0_2627,refute_0_3095]) ).
cnf(refute_0_3097,plain,
and(d2,or(b2,f1)) = d2,
inference(subst,[],[refute_0_3096:[bind(Y,$fot(d2))]]) ).
cnf(refute_0_3098,plain,
( and(d2,f1) != and(d2,or(b2,f1))
| and(d2,or(b2,f1)) != d2
| and(d2,f1) = d2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(d2,f1),d2) ),[0],$fot(and(d2,or(b2,f1)))]]) ).
cnf(refute_0_3099,plain,
( and(d2,f1) != and(d2,or(b2,f1))
| and(d2,f1) = d2 ),
inference(resolve,[$cnf( $equal(and(d2,or(b2,f1)),d2) )],[refute_0_3097,refute_0_3098]) ).
cnf(refute_0_3100,plain,
and(d2,f1) = d2,
inference(resolve,[$cnf( $equal(and(d2,f1),and(d2,or(b2,f1))) )],[refute_0_2615,refute_0_3099]) ).
cnf(refute_0_3101,plain,
not(and(d2,f1)) = not(and(d2,f1)),
introduced(tautology,[refl,[$fot(not(and(d2,f1)))]]) ).
cnf(refute_0_3102,plain,
( and(d2,f1) != d2
| not(and(d2,f1)) != not(and(d2,f1))
| not(and(d2,f1)) = not(d2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,f1)),not(and(d2,f1))) ),[1,0],$fot(d2)]]) ).
cnf(refute_0_3103,plain,
( and(d2,f1) != d2
| not(and(d2,f1)) = not(d2) ),
inference(resolve,[$cnf( $equal(not(and(d2,f1)),not(and(d2,f1))) )],[refute_0_3101,refute_0_3102]) ).
cnf(refute_0_3104,plain,
not(and(d2,f1)) = not(d2),
inference(resolve,[$cnf( $equal(and(d2,f1),d2) )],[refute_0_3100,refute_0_3103]) ).
cnf(refute_0_3105,plain,
( not(and(d2,f1)) != not(d2)
| not(d2) != b2
| not(and(d2,f1)) = b2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(d2,f1)))),bind(Y0,$fot(not(d2))),bind(Z0,$fot(b2))]]) ).
cnf(refute_0_3106,plain,
( not(d2) != b2
| not(and(d2,f1)) = b2 ),
inference(resolve,[$cnf( $equal(not(and(d2,f1)),not(d2)) )],[refute_0_3104,refute_0_3105]) ).
cnf(refute_0_3107,plain,
not(and(d2,f1)) = b2,
inference(resolve,[$cnf( $equal(not(d2),b2) )],[refute_0_310,refute_0_3106]) ).
cnf(refute_0_3108,plain,
( not(and(d2,f1)) != b2
| not(and(d2,f1)) != or(b2,c1)
| b2 = or(b2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d2,f1)),or(b2,c1)) ),[0],$fot(b2)]]) ).
cnf(refute_0_3109,plain,
( not(and(d2,f1)) != or(b2,c1)
| b2 = or(b2,c1) ),
inference(resolve,[$cnf( $equal(not(and(d2,f1)),b2) )],[refute_0_3107,refute_0_3108]) ).
cnf(refute_0_3110,plain,
b2 = or(b2,c1),
inference(resolve,[$cnf( $equal(not(and(d2,f1)),or(b2,c1)) )],[refute_0_2504,refute_0_3109]) ).
cnf(refute_0_3111,plain,
( b2 != or(b2,c1)
| or(b2,c1) = b2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b2)),bind(Y0,$fot(or(b2,c1)))]]) ).
cnf(refute_0_3112,plain,
or(b2,c1) = b2,
inference(resolve,[$cnf( $equal(b2,or(b2,c1)) )],[refute_0_3110,refute_0_3111]) ).
cnf(refute_0_3113,plain,
and(c1,or(b2,c1)) = and(c1,or(b2,c1)),
introduced(tautology,[refl,[$fot(and(c1,or(b2,c1)))]]) ).
cnf(refute_0_3114,plain,
( and(c1,or(b2,c1)) != and(c1,or(b2,c1))
| or(b2,c1) != b2
| and(c1,or(b2,c1)) = and(c1,b2) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,or(b2,c1)),and(c1,or(b2,c1))) ),[1,1],$fot(b2)]]) ).
cnf(refute_0_3115,plain,
( or(b2,c1) != b2
| and(c1,or(b2,c1)) = and(c1,b2) ),
inference(resolve,[$cnf( $equal(and(c1,or(b2,c1)),and(c1,or(b2,c1))) )],[refute_0_3113,refute_0_3114]) ).
cnf(refute_0_3116,plain,
and(c1,or(b2,c1)) = and(c1,b2),
inference(resolve,[$cnf( $equal(or(b2,c1),b2) )],[refute_0_3112,refute_0_3115]) ).
cnf(refute_0_3117,plain,
( and(c1,b2) != and(b2,c1)
| and(c1,or(b2,c1)) != and(c1,b2)
| and(c1,or(b2,c1)) = and(b2,c1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c1,or(b2,c1)))),bind(Y0,$fot(and(c1,b2))),bind(Z0,$fot(and(b2,c1)))]]) ).
cnf(refute_0_3118,plain,
( and(c1,b2) != and(b2,c1)
| and(c1,or(b2,c1)) = and(b2,c1) ),
inference(resolve,[$cnf( $equal(and(c1,or(b2,c1)),and(c1,b2)) )],[refute_0_3116,refute_0_3117]) ).
cnf(refute_0_3119,plain,
and(c1,or(b2,c1)) = and(b2,c1),
inference(resolve,[$cnf( $equal(and(c1,b2),and(b2,c1)) )],[refute_0_2501,refute_0_3118]) ).
cnf(refute_0_3120,plain,
( and(c1,or(b2,c1)) != and(b2,c1)
| c1 != and(c1,or(b2,c1))
| c1 = and(b2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(c1,and(c1,or(b2,c1))) ),[1],$fot(and(b2,c1))]]) ).
cnf(refute_0_3121,plain,
( c1 != and(c1,or(b2,c1))
| c1 = and(b2,c1) ),
inference(resolve,[$cnf( $equal(and(c1,or(b2,c1)),and(b2,c1)) )],[refute_0_3119,refute_0_3120]) ).
cnf(refute_0_3122,plain,
c1 = and(b2,c1),
inference(resolve,[$cnf( $equal(c1,and(c1,or(b2,c1))) )],[refute_0_2500,refute_0_3121]) ).
cnf(refute_0_3123,plain,
( c1 != and(b2,c1)
| and(b2,c1) = c1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c1)),bind(Y0,$fot(and(b2,c1)))]]) ).
cnf(refute_0_3124,plain,
and(b2,c1) = c1,
inference(resolve,[$cnf( $equal(c1,and(b2,c1)) )],[refute_0_3122,refute_0_3123]) ).
cnf(refute_0_3125,plain,
not(not(and(c1,or(c1,i2)))) = and(c1,or(c1,i2)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(c1,or(c1,i2))))]]) ).
cnf(refute_0_3126,plain,
not(and(or(i1,i2),i1)) = or(f1,not(or(i1,i2))),
inference(subst,[],[refute_0_190:[bind(X_109,$fot(or(i1,i2)))]]) ).
cnf(refute_0_3127,plain,
( not(and(or(i1,i2),i1)) != or(f1,not(or(i1,i2)))
| not(or(i1,i2)) != and(f1,f2)
| not(and(or(i1,i2),i1)) = or(f1,and(f1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(i1,i2),i1)),or(f1,not(or(i1,i2)))) ),[1,1],$fot(and(f1,f2))]]) ).
cnf(refute_0_3128,plain,
( not(and(or(i1,i2),i1)) != or(f1,not(or(i1,i2)))
| not(and(or(i1,i2),i1)) = or(f1,and(f1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(i1,i2)),and(f1,f2)) )],[refute_0_566,refute_0_3127]) ).
cnf(refute_0_3129,plain,
not(and(or(i1,i2),i1)) = or(f1,and(f1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(i1,i2),i1)),or(f1,not(or(i1,i2)))) )],[refute_0_3126,refute_0_3128]) ).
cnf(refute_0_3130,plain,
not(and(or(i1,i2),i1)) = not(and(i1,or(i1,i2))),
inference(subst,[],[refute_0_1000:[bind(X_114,$fot(or(i1,i2)))]]) ).
cnf(refute_0_3131,plain,
( not(and(or(i1,i2),i1)) != not(and(i1,or(i1,i2)))
| not(and(or(i1,i2),i1)) != or(f1,and(f1,f2))
| not(and(i1,or(i1,i2))) = or(f1,and(f1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(i1,i2),i1)),or(f1,and(f1,f2))) ),[0],$fot(not(and(i1,or(i1,i2))))]]) ).
cnf(refute_0_3132,plain,
( not(and(or(i1,i2),i1)) != or(f1,and(f1,f2))
| not(and(i1,or(i1,i2))) = or(f1,and(f1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(i1,i2),i1)),not(and(i1,or(i1,i2)))) )],[refute_0_3130,refute_0_3131]) ).
cnf(refute_0_3133,plain,
or(f1,and(f1,f2)) = f1,
inference(subst,[],[refute_0_908:[bind(X_14,$fot(f1))]]) ).
cnf(refute_0_3134,plain,
( not(and(i1,or(i1,i2))) != or(f1,and(f1,f2))
| or(f1,and(f1,f2)) != f1
| not(and(i1,or(i1,i2))) = f1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(i1,or(i1,i2))),f1) ),[0],$fot(or(f1,and(f1,f2)))]]) ).
cnf(refute_0_3135,plain,
( not(and(i1,or(i1,i2))) != or(f1,and(f1,f2))
| not(and(i1,or(i1,i2))) = f1 ),
inference(resolve,[$cnf( $equal(or(f1,and(f1,f2)),f1) )],[refute_0_3133,refute_0_3134]) ).
cnf(refute_0_3136,plain,
( not(and(or(i1,i2),i1)) != or(f1,and(f1,f2))
| not(and(i1,or(i1,i2))) = f1 ),
inference(resolve,[$cnf( $equal(not(and(i1,or(i1,i2))),or(f1,and(f1,f2))) )],[refute_0_3132,refute_0_3135]) ).
cnf(refute_0_3137,plain,
not(and(i1,or(i1,i2))) = f1,
inference(resolve,[$cnf( $equal(not(and(or(i1,i2),i1)),or(f1,and(f1,f2))) )],[refute_0_3129,refute_0_3136]) ).
cnf(refute_0_3138,plain,
and(c1,or(i1,i2)) = and(c1,or(i1,i2)),
introduced(tautology,[refl,[$fot(and(c1,or(i1,i2)))]]) ).
cnf(refute_0_3139,plain,
( and(c1,or(i1,i2)) != and(c1,or(i1,i2))
| or(i1,i2) != or(c1,i2)
| and(c1,or(i1,i2)) = and(c1,or(c1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,or(i1,i2)),and(c1,or(i1,i2))) ),[1,1],$fot(or(c1,i2))]]) ).
cnf(refute_0_3140,plain,
( or(i1,i2) != or(c1,i2)
| and(c1,or(i1,i2)) = and(c1,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(and(c1,or(i1,i2)),and(c1,or(i1,i2))) )],[refute_0_3138,refute_0_3139]) ).
cnf(refute_0_3141,plain,
and(c1,or(i1,i2)) = and(c1,or(c1,i2)),
inference(resolve,[$cnf( $equal(or(i1,i2),or(c1,i2)) )],[refute_0_570,refute_0_3140]) ).
cnf(refute_0_3142,plain,
and(i1,or(i1,i2)) = and(i1,or(i1,i2)),
introduced(tautology,[refl,[$fot(and(i1,or(i1,i2)))]]) ).
cnf(refute_0_3143,plain,
( and(i1,or(i1,i2)) != and(i1,or(i1,i2))
| i1 != c1
| and(i1,or(i1,i2)) = and(c1,or(i1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i1,or(i1,i2)),and(i1,or(i1,i2))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_3144,plain,
( i1 != c1
| and(i1,or(i1,i2)) = and(c1,or(i1,i2)) ),
inference(resolve,[$cnf( $equal(and(i1,or(i1,i2)),and(i1,or(i1,i2))) )],[refute_0_3142,refute_0_3143]) ).
cnf(refute_0_3145,plain,
and(i1,or(i1,i2)) = and(c1,or(i1,i2)),
inference(resolve,[$cnf( $equal(i1,c1) )],[refute_0_291,refute_0_3144]) ).
cnf(refute_0_3146,plain,
( and(c1,or(i1,i2)) != and(c1,or(c1,i2))
| and(i1,or(i1,i2)) != and(c1,or(i1,i2))
| and(i1,or(i1,i2)) = and(c1,or(c1,i2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i1,or(i1,i2)))),bind(Y0,$fot(and(c1,or(i1,i2)))),bind(Z0,$fot(and(c1,or(c1,i2))))]]) ).
cnf(refute_0_3147,plain,
( and(c1,or(i1,i2)) != and(c1,or(c1,i2))
| and(i1,or(i1,i2)) = and(c1,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(and(i1,or(i1,i2)),and(c1,or(i1,i2))) )],[refute_0_3145,refute_0_3146]) ).
cnf(refute_0_3148,plain,
and(i1,or(i1,i2)) = and(c1,or(c1,i2)),
inference(resolve,[$cnf( $equal(and(c1,or(i1,i2)),and(c1,or(c1,i2))) )],[refute_0_3141,refute_0_3147]) ).
cnf(refute_0_3149,plain,
not(and(i1,or(i1,i2))) = not(and(i1,or(i1,i2))),
introduced(tautology,[refl,[$fot(not(and(i1,or(i1,i2))))]]) ).
cnf(refute_0_3150,plain,
( and(i1,or(i1,i2)) != and(c1,or(c1,i2))
| not(and(i1,or(i1,i2))) != not(and(i1,or(i1,i2)))
| not(and(i1,or(i1,i2))) = not(and(c1,or(c1,i2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,or(i1,i2))),not(and(i1,or(i1,i2)))) ),[1,0],$fot(and(c1,or(c1,i2)))]]) ).
cnf(refute_0_3151,plain,
( and(i1,or(i1,i2)) != and(c1,or(c1,i2))
| not(and(i1,or(i1,i2))) = not(and(c1,or(c1,i2))) ),
inference(resolve,[$cnf( $equal(not(and(i1,or(i1,i2))),not(and(i1,or(i1,i2)))) )],[refute_0_3149,refute_0_3150]) ).
cnf(refute_0_3152,plain,
not(and(i1,or(i1,i2))) = not(and(c1,or(c1,i2))),
inference(resolve,[$cnf( $equal(and(i1,or(i1,i2)),and(c1,or(c1,i2))) )],[refute_0_3148,refute_0_3151]) ).
cnf(refute_0_3153,plain,
( not(and(i1,or(i1,i2))) != f1
| not(and(i1,or(i1,i2))) != not(and(c1,or(c1,i2)))
| not(and(c1,or(c1,i2))) = f1 ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i1,or(i1,i2))),f1) ),[0],$fot(not(and(c1,or(c1,i2))))]]) ).
cnf(refute_0_3154,plain,
( not(and(i1,or(i1,i2))) != f1
| not(and(c1,or(c1,i2))) = f1 ),
inference(resolve,[$cnf( $equal(not(and(i1,or(i1,i2))),not(and(c1,or(c1,i2)))) )],[refute_0_3152,refute_0_3153]) ).
cnf(refute_0_3155,plain,
not(and(c1,or(c1,i2))) = f1,
inference(resolve,[$cnf( $equal(not(and(i1,or(i1,i2))),f1) )],[refute_0_3137,refute_0_3154]) ).
cnf(refute_0_3156,plain,
( not(and(c1,or(c1,i2))) != f1
| not(not(and(c1,or(c1,i2)))) != and(c1,or(c1,i2))
| not(f1) = and(c1,or(c1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(c1,or(c1,i2)))),and(c1,or(c1,i2))) ),[0,0],$fot(f1)]]) ).
cnf(refute_0_3157,plain,
( not(not(and(c1,or(c1,i2)))) != and(c1,or(c1,i2))
| not(f1) = and(c1,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(not(and(c1,or(c1,i2))),f1) )],[refute_0_3155,refute_0_3156]) ).
cnf(refute_0_3158,plain,
not(f1) = and(c1,or(c1,i2)),
inference(resolve,[$cnf( $equal(not(not(and(c1,or(c1,i2)))),and(c1,or(c1,i2))) )],[refute_0_3125,refute_0_3157]) ).
cnf(refute_0_3159,plain,
( not(f1) != and(c1,or(c1,i2))
| not(f1) != c1
| c1 = and(c1,or(c1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(f1),and(c1,or(c1,i2))) ),[0],$fot(c1)]]) ).
cnf(refute_0_3160,plain,
( not(f1) != and(c1,or(c1,i2))
| c1 = and(c1,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(not(f1),c1) )],[refute_0_602,refute_0_3159]) ).
cnf(refute_0_3161,plain,
c1 = and(c1,or(c1,i2)),
inference(resolve,[$cnf( $equal(not(f1),and(c1,or(c1,i2))) )],[refute_0_3158,refute_0_3160]) ).
cnf(refute_0_3162,plain,
and(c1,b3) = and(b3,c1),
inference(subst,[],[refute_0_129:[bind(X,$fot(b3)),bind(Y,$fot(c1))]]) ).
cnf(refute_0_3163,plain,
and(c1,or(c1,i2)) = and(c1,or(c1,i2)),
introduced(tautology,[refl,[$fot(and(c1,or(c1,i2)))]]) ).
cnf(refute_0_3164,plain,
( and(c1,or(c1,i2)) != and(c1,or(c1,i2))
| or(c1,i2) != b3
| and(c1,or(c1,i2)) = and(c1,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,or(c1,i2)),and(c1,or(c1,i2))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_3165,plain,
( or(c1,i2) != b3
| and(c1,or(c1,i2)) = and(c1,b3) ),
inference(resolve,[$cnf( $equal(and(c1,or(c1,i2)),and(c1,or(c1,i2))) )],[refute_0_3163,refute_0_3164]) ).
cnf(refute_0_3166,plain,
and(c1,or(c1,i2)) = and(c1,b3),
inference(resolve,[$cnf( $equal(or(c1,i2),b3) )],[refute_0_586,refute_0_3165]) ).
cnf(refute_0_3167,plain,
( and(c1,b3) != and(b3,c1)
| and(c1,or(c1,i2)) != and(c1,b3)
| and(c1,or(c1,i2)) = and(b3,c1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c1,or(c1,i2)))),bind(Y0,$fot(and(c1,b3))),bind(Z0,$fot(and(b3,c1)))]]) ).
cnf(refute_0_3168,plain,
( and(c1,b3) != and(b3,c1)
| and(c1,or(c1,i2)) = and(b3,c1) ),
inference(resolve,[$cnf( $equal(and(c1,or(c1,i2)),and(c1,b3)) )],[refute_0_3166,refute_0_3167]) ).
cnf(refute_0_3169,plain,
and(c1,or(c1,i2)) = and(b3,c1),
inference(resolve,[$cnf( $equal(and(c1,b3),and(b3,c1)) )],[refute_0_3162,refute_0_3168]) ).
cnf(refute_0_3170,plain,
( and(c1,or(c1,i2)) != and(b3,c1)
| c1 != and(c1,or(c1,i2))
| c1 = and(b3,c1) ),
introduced(tautology,[equality,[$cnf( $equal(c1,and(c1,or(c1,i2))) ),[1],$fot(and(b3,c1))]]) ).
cnf(refute_0_3171,plain,
( c1 != and(c1,or(c1,i2))
| c1 = and(b3,c1) ),
inference(resolve,[$cnf( $equal(and(c1,or(c1,i2)),and(b3,c1)) )],[refute_0_3169,refute_0_3170]) ).
cnf(refute_0_3172,plain,
c1 = and(b3,c1),
inference(resolve,[$cnf( $equal(c1,and(c1,or(c1,i2))) )],[refute_0_3161,refute_0_3171]) ).
cnf(refute_0_3173,plain,
( c1 != and(b3,c1)
| and(b3,c1) = c1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c1)),bind(Y0,$fot(and(b3,c1)))]]) ).
cnf(refute_0_3174,plain,
and(b3,c1) = c1,
inference(resolve,[$cnf( $equal(c1,and(b3,c1)) )],[refute_0_3172,refute_0_3173]) ).
cnf(refute_0_3175,plain,
( and(b3,c1) != c1
| and(c1,b3) != and(b3,c1)
| and(c1,b3) = c1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c1,b3))),bind(Y0,$fot(and(b3,c1))),bind(Z0,$fot(c1))]]) ).
cnf(refute_0_3176,plain,
( and(b3,c1) != c1
| and(c1,b3) = c1 ),
inference(resolve,[$cnf( $equal(and(c1,b3),and(b3,c1)) )],[refute_0_3162,refute_0_3175]) ).
cnf(refute_0_3177,plain,
and(c1,b3) = c1,
inference(resolve,[$cnf( $equal(and(b3,c1),c1) )],[refute_0_3174,refute_0_3176]) ).
cnf(refute_0_3178,plain,
or(and(c1,or(c1,i2)),and(or(c1,i2),not(c1))) = or(c1,i2),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(c1)),bind(Y,$fot(or(c1,i2)))]]) ).
cnf(refute_0_3179,plain,
( c1 != and(c1,or(c1,i2))
| and(c1,or(c1,i2)) = c1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c1)),bind(Y0,$fot(and(c1,or(c1,i2))))]]) ).
cnf(refute_0_3180,plain,
and(c1,or(c1,i2)) = c1,
inference(resolve,[$cnf( $equal(c1,and(c1,or(c1,i2))) )],[refute_0_3161,refute_0_3179]) ).
cnf(refute_0_3181,plain,
( and(c1,or(c1,i2)) != c1
| or(and(c1,or(c1,i2)),and(or(c1,i2),not(c1))) != or(c1,i2)
| or(c1,and(or(c1,i2),not(c1))) = or(c1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(c1,or(c1,i2)),and(or(c1,i2),not(c1))),or(c1,i2)) ),[0,0],$fot(c1)]]) ).
cnf(refute_0_3182,plain,
( or(and(c1,or(c1,i2)),and(or(c1,i2),not(c1))) != or(c1,i2)
| or(c1,and(or(c1,i2),not(c1))) = or(c1,i2) ),
inference(resolve,[$cnf( $equal(and(c1,or(c1,i2)),c1) )],[refute_0_3180,refute_0_3181]) ).
cnf(refute_0_3183,plain,
or(c1,and(or(c1,i2),not(c1))) = or(c1,i2),
inference(resolve,[$cnf( $equal(or(and(c1,or(c1,i2)),and(or(c1,i2),not(c1))),or(c1,i2)) )],[refute_0_3178,refute_0_3182]) ).
cnf(refute_0_3184,plain,
and(not(c1),or(c1,i2)) = and(not(c1),or(c1,i2)),
introduced(tautology,[refl,[$fot(and(not(c1),or(c1,i2)))]]) ).
cnf(refute_0_3185,plain,
( and(not(c1),or(c1,i2)) != and(not(c1),or(c1,i2))
| not(c1) != f1
| and(not(c1),or(c1,i2)) = and(f1,or(c1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(c1),or(c1,i2)),and(not(c1),or(c1,i2))) ),[1,0],$fot(f1)]]) ).
cnf(refute_0_3186,plain,
( not(c1) != f1
| and(not(c1),or(c1,i2)) = and(f1,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(and(not(c1),or(c1,i2)),and(not(c1),or(c1,i2))) )],[refute_0_3184,refute_0_3185]) ).
cnf(refute_0_3187,plain,
and(not(c1),or(c1,i2)) = and(f1,or(c1,i2)),
inference(resolve,[$cnf( $equal(not(c1),f1) )],[refute_0_1066,refute_0_3186]) ).
cnf(refute_0_3188,plain,
and(or(c1,i2),not(c1)) = and(not(c1),or(c1,i2)),
inference(subst,[],[refute_0_129:[bind(X,$fot(not(c1))),bind(Y,$fot(or(c1,i2)))]]) ).
cnf(refute_0_3189,plain,
( and(not(c1),or(c1,i2)) != and(f1,or(c1,i2))
| and(or(c1,i2),not(c1)) != and(not(c1),or(c1,i2))
| and(or(c1,i2),not(c1)) = and(f1,or(c1,i2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(or(c1,i2),not(c1)))),bind(Y0,$fot(and(not(c1),or(c1,i2)))),bind(Z0,$fot(and(f1,or(c1,i2))))]]) ).
cnf(refute_0_3190,plain,
( and(not(c1),or(c1,i2)) != and(f1,or(c1,i2))
| and(or(c1,i2),not(c1)) = and(f1,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(and(or(c1,i2),not(c1)),and(not(c1),or(c1,i2))) )],[refute_0_3188,refute_0_3189]) ).
cnf(refute_0_3191,plain,
and(or(c1,i2),not(c1)) = and(f1,or(c1,i2)),
inference(resolve,[$cnf( $equal(and(not(c1),or(c1,i2)),and(f1,or(c1,i2))) )],[refute_0_3187,refute_0_3190]) ).
cnf(refute_0_3192,plain,
or(c1,and(or(c1,i2),not(c1))) = or(c1,and(or(c1,i2),not(c1))),
introduced(tautology,[refl,[$fot(or(c1,and(or(c1,i2),not(c1))))]]) ).
cnf(refute_0_3193,plain,
( and(or(c1,i2),not(c1)) != and(f1,or(c1,i2))
| or(c1,and(or(c1,i2),not(c1))) != or(c1,and(or(c1,i2),not(c1)))
| or(c1,and(or(c1,i2),not(c1))) = or(c1,and(f1,or(c1,i2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(or(c1,i2),not(c1))),or(c1,and(or(c1,i2),not(c1)))) ),[1,1],$fot(and(f1,or(c1,i2)))]]) ).
cnf(refute_0_3194,plain,
( and(or(c1,i2),not(c1)) != and(f1,or(c1,i2))
| or(c1,and(or(c1,i2),not(c1))) = or(c1,and(f1,or(c1,i2))) ),
inference(resolve,[$cnf( $equal(or(c1,and(or(c1,i2),not(c1))),or(c1,and(or(c1,i2),not(c1)))) )],[refute_0_3192,refute_0_3193]) ).
cnf(refute_0_3195,plain,
or(c1,and(or(c1,i2),not(c1))) = or(c1,and(f1,or(c1,i2))),
inference(resolve,[$cnf( $equal(and(or(c1,i2),not(c1)),and(f1,or(c1,i2))) )],[refute_0_3191,refute_0_3194]) ).
cnf(refute_0_3196,plain,
( or(c1,and(or(c1,i2),not(c1))) != or(c1,and(f1,or(c1,i2)))
| or(c1,and(or(c1,i2),not(c1))) != or(c1,i2)
| or(c1,and(f1,or(c1,i2))) = or(c1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(or(c1,i2),not(c1))),or(c1,i2)) ),[0],$fot(or(c1,and(f1,or(c1,i2))))]]) ).
cnf(refute_0_3197,plain,
( or(c1,and(or(c1,i2),not(c1))) != or(c1,i2)
| or(c1,and(f1,or(c1,i2))) = or(c1,i2) ),
inference(resolve,[$cnf( $equal(or(c1,and(or(c1,i2),not(c1))),or(c1,and(f1,or(c1,i2)))) )],[refute_0_3195,refute_0_3196]) ).
cnf(refute_0_3198,plain,
or(c1,and(f1,or(c1,i2))) = or(c1,i2),
inference(resolve,[$cnf( $equal(or(c1,and(or(c1,i2),not(c1))),or(c1,i2)) )],[refute_0_3183,refute_0_3197]) ).
cnf(refute_0_3199,plain,
and(f1,b3) = and(b3,f1),
inference(subst,[],[refute_0_129:[bind(X,$fot(b3)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_3200,plain,
and(f1,or(c1,i2)) = and(f1,or(c1,i2)),
introduced(tautology,[refl,[$fot(and(f1,or(c1,i2)))]]) ).
cnf(refute_0_3201,plain,
( and(f1,or(c1,i2)) != and(f1,or(c1,i2))
| or(c1,i2) != b3
| and(f1,or(c1,i2)) = and(f1,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,or(c1,i2)),and(f1,or(c1,i2))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_3202,plain,
( or(c1,i2) != b3
| and(f1,or(c1,i2)) = and(f1,b3) ),
inference(resolve,[$cnf( $equal(and(f1,or(c1,i2)),and(f1,or(c1,i2))) )],[refute_0_3200,refute_0_3201]) ).
cnf(refute_0_3203,plain,
and(f1,or(c1,i2)) = and(f1,b3),
inference(resolve,[$cnf( $equal(or(c1,i2),b3) )],[refute_0_586,refute_0_3202]) ).
cnf(refute_0_3204,plain,
( and(f1,b3) != and(b3,f1)
| and(f1,or(c1,i2)) != and(f1,b3)
| and(f1,or(c1,i2)) = and(b3,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f1,or(c1,i2)))),bind(Y0,$fot(and(f1,b3))),bind(Z0,$fot(and(b3,f1)))]]) ).
cnf(refute_0_3205,plain,
( and(f1,b3) != and(b3,f1)
| and(f1,or(c1,i2)) = and(b3,f1) ),
inference(resolve,[$cnf( $equal(and(f1,or(c1,i2)),and(f1,b3)) )],[refute_0_3203,refute_0_3204]) ).
cnf(refute_0_3206,plain,
and(f1,or(c1,i2)) = and(b3,f1),
inference(resolve,[$cnf( $equal(and(f1,b3),and(b3,f1)) )],[refute_0_3199,refute_0_3205]) ).
cnf(refute_0_3207,plain,
or(c1,and(f1,or(c1,i2))) = or(c1,and(f1,or(c1,i2))),
introduced(tautology,[refl,[$fot(or(c1,and(f1,or(c1,i2))))]]) ).
cnf(refute_0_3208,plain,
( and(f1,or(c1,i2)) != and(b3,f1)
| or(c1,and(f1,or(c1,i2))) != or(c1,and(f1,or(c1,i2)))
| or(c1,and(f1,or(c1,i2))) = or(c1,and(b3,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(f1,or(c1,i2))),or(c1,and(f1,or(c1,i2)))) ),[1,1],$fot(and(b3,f1))]]) ).
cnf(refute_0_3209,plain,
( and(f1,or(c1,i2)) != and(b3,f1)
| or(c1,and(f1,or(c1,i2))) = or(c1,and(b3,f1)) ),
inference(resolve,[$cnf( $equal(or(c1,and(f1,or(c1,i2))),or(c1,and(f1,or(c1,i2)))) )],[refute_0_3207,refute_0_3208]) ).
cnf(refute_0_3210,plain,
or(c1,and(f1,or(c1,i2))) = or(c1,and(b3,f1)),
inference(resolve,[$cnf( $equal(and(f1,or(c1,i2)),and(b3,f1)) )],[refute_0_3206,refute_0_3209]) ).
cnf(refute_0_3211,plain,
( or(c1,and(f1,or(c1,i2))) != or(c1,and(b3,f1))
| or(c1,and(f1,or(c1,i2))) != or(c1,i2)
| or(c1,and(b3,f1)) = or(c1,i2) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(f1,or(c1,i2))),or(c1,i2)) ),[0],$fot(or(c1,and(b3,f1)))]]) ).
cnf(refute_0_3212,plain,
( or(c1,and(f1,or(c1,i2))) != or(c1,i2)
| or(c1,and(b3,f1)) = or(c1,i2) ),
inference(resolve,[$cnf( $equal(or(c1,and(f1,or(c1,i2))),or(c1,and(b3,f1))) )],[refute_0_3210,refute_0_3211]) ).
cnf(refute_0_3213,plain,
( or(c1,and(b3,f1)) != or(c1,i2)
| or(c1,i2) != b3
| or(c1,and(b3,f1)) = b3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(c1,and(b3,f1)),b3) ),[0],$fot(or(c1,i2))]]) ).
cnf(refute_0_3214,plain,
( or(c1,and(b3,f1)) != or(c1,i2)
| or(c1,and(b3,f1)) = b3 ),
inference(resolve,[$cnf( $equal(or(c1,i2),b3) )],[refute_0_586,refute_0_3213]) ).
cnf(refute_0_3215,plain,
( or(c1,and(f1,or(c1,i2))) != or(c1,i2)
| or(c1,and(b3,f1)) = b3 ),
inference(resolve,[$cnf( $equal(or(c1,and(b3,f1)),or(c1,i2)) )],[refute_0_3212,refute_0_3214]) ).
cnf(refute_0_3216,plain,
or(c1,and(b3,f1)) = b3,
inference(resolve,[$cnf( $equal(or(c1,and(f1,or(c1,i2))),or(c1,i2)) )],[refute_0_3198,refute_0_3215]) ).
cnf(refute_0_3217,plain,
not(not(and(b1,and(c2,f1)))) = and(b1,and(c2,f1)),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b1,and(c2,f1))))]]) ).
cnf(refute_0_3218,plain,
not(and(and(c2,f1),b1)) = or(d1,not(and(c2,f1))),
inference(subst,[],[refute_0_858:[bind(X_109,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3219,plain,
not(and(f1,i2)) = or(f2,not(f1)),
inference(subst,[],[refute_0_431:[bind(X_109,$fot(f1))]]) ).
cnf(refute_0_3220,plain,
( not(and(f1,i2)) != or(f2,not(f1))
| not(f1) != c1
| not(and(f1,i2)) = or(f2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,i2)),or(f2,not(f1))) ),[1,1],$fot(c1)]]) ).
cnf(refute_0_3221,plain,
( not(and(f1,i2)) != or(f2,not(f1))
| not(and(f1,i2)) = or(f2,c1) ),
inference(resolve,[$cnf( $equal(not(f1),c1) )],[refute_0_602,refute_0_3220]) ).
cnf(refute_0_3222,plain,
not(and(f1,i2)) = or(f2,c1),
inference(resolve,[$cnf( $equal(not(and(f1,i2)),or(f2,not(f1))) )],[refute_0_3219,refute_0_3221]) ).
cnf(refute_0_3223,plain,
or(f2,c1) = or(c1,f2),
inference(subst,[],[refute_0_37:[bind(X,$fot(c1)),bind(Y,$fot(f2))]]) ).
cnf(refute_0_3224,plain,
( not(and(f1,i2)) != or(f2,c1)
| or(f2,c1) != or(c1,f2)
| not(and(f1,i2)) = or(c1,f2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f1,i2)),or(c1,f2)) ),[0],$fot(or(f2,c1))]]) ).
cnf(refute_0_3225,plain,
( not(and(f1,i2)) != or(f2,c1)
| not(and(f1,i2)) = or(c1,f2) ),
inference(resolve,[$cnf( $equal(or(f2,c1),or(c1,f2)) )],[refute_0_3223,refute_0_3224]) ).
cnf(refute_0_3226,plain,
not(and(f1,i2)) = or(c1,f2),
inference(resolve,[$cnf( $equal(not(and(f1,i2)),or(f2,c1)) )],[refute_0_3222,refute_0_3225]) ).
cnf(refute_0_3227,plain,
and(f1,c2) = and(c2,f1),
inference(subst,[],[refute_0_129:[bind(X,$fot(c2)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_3228,plain,
and(f1,i2) = and(f1,i2),
introduced(tautology,[refl,[$fot(and(f1,i2))]]) ).
cnf(refute_0_3229,plain,
( and(f1,i2) != and(f1,i2)
| i2 != c2
| and(f1,i2) = and(f1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,i2),and(f1,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_3230,plain,
( i2 != c2
| and(f1,i2) = and(f1,c2) ),
inference(resolve,[$cnf( $equal(and(f1,i2),and(f1,i2)) )],[refute_0_3228,refute_0_3229]) ).
cnf(refute_0_3231,plain,
and(f1,i2) = and(f1,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_3230]) ).
cnf(refute_0_3232,plain,
( and(f1,c2) != and(c2,f1)
| and(f1,i2) != and(f1,c2)
| and(f1,i2) = and(c2,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f1,i2))),bind(Y0,$fot(and(f1,c2))),bind(Z0,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3233,plain,
( and(f1,c2) != and(c2,f1)
| and(f1,i2) = and(c2,f1) ),
inference(resolve,[$cnf( $equal(and(f1,i2),and(f1,c2)) )],[refute_0_3231,refute_0_3232]) ).
cnf(refute_0_3234,plain,
and(f1,i2) = and(c2,f1),
inference(resolve,[$cnf( $equal(and(f1,c2),and(c2,f1)) )],[refute_0_3227,refute_0_3233]) ).
cnf(refute_0_3235,plain,
not(and(f1,i2)) = not(and(f1,i2)),
introduced(tautology,[refl,[$fot(not(and(f1,i2)))]]) ).
cnf(refute_0_3236,plain,
( and(f1,i2) != and(c2,f1)
| not(and(f1,i2)) != not(and(f1,i2))
| not(and(f1,i2)) = not(and(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,i2)),not(and(f1,i2))) ),[1,0],$fot(and(c2,f1))]]) ).
cnf(refute_0_3237,plain,
( and(f1,i2) != and(c2,f1)
| not(and(f1,i2)) = not(and(c2,f1)) ),
inference(resolve,[$cnf( $equal(not(and(f1,i2)),not(and(f1,i2))) )],[refute_0_3235,refute_0_3236]) ).
cnf(refute_0_3238,plain,
not(and(f1,i2)) = not(and(c2,f1)),
inference(resolve,[$cnf( $equal(and(f1,i2),and(c2,f1)) )],[refute_0_3234,refute_0_3237]) ).
cnf(refute_0_3239,plain,
( not(and(f1,i2)) != not(and(c2,f1))
| not(and(f1,i2)) != or(c1,f2)
| not(and(c2,f1)) = or(c1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,i2)),or(c1,f2)) ),[0],$fot(not(and(c2,f1)))]]) ).
cnf(refute_0_3240,plain,
( not(and(f1,i2)) != or(c1,f2)
| not(and(c2,f1)) = or(c1,f2) ),
inference(resolve,[$cnf( $equal(not(and(f1,i2)),not(and(c2,f1))) )],[refute_0_3238,refute_0_3239]) ).
cnf(refute_0_3241,plain,
not(and(c2,f1)) = or(c1,f2),
inference(resolve,[$cnf( $equal(not(and(f1,i2)),or(c1,f2)) )],[refute_0_3226,refute_0_3240]) ).
cnf(refute_0_3242,plain,
( not(and(and(c2,f1),b1)) != or(d1,not(and(c2,f1)))
| not(and(c2,f1)) != or(c1,f2)
| not(and(and(c2,f1),b1)) = or(d1,or(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,f1),b1)),or(d1,not(and(c2,f1)))) ),[1,1],$fot(or(c1,f2))]]) ).
cnf(refute_0_3243,plain,
( not(and(and(c2,f1),b1)) != or(d1,not(and(c2,f1)))
| not(and(and(c2,f1),b1)) = or(d1,or(c1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(c2,f1)),or(c1,f2)) )],[refute_0_3241,refute_0_3242]) ).
cnf(refute_0_3244,plain,
not(and(and(c2,f1),b1)) = or(d1,or(c1,f2)),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),b1)),or(d1,not(and(c2,f1)))) )],[refute_0_3218,refute_0_3243]) ).
cnf(refute_0_3245,plain,
not(and(and(c2,f1),b1)) = not(and(b1,and(c2,f1))),
inference(subst,[],[refute_0_884:[bind(X_117,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3246,plain,
( not(and(and(c2,f1),b1)) != not(and(b1,and(c2,f1)))
| not(and(and(c2,f1),b1)) != or(d1,or(c1,f2))
| not(and(b1,and(c2,f1))) = or(d1,or(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,f1),b1)),or(d1,or(c1,f2))) ),[0],$fot(not(and(b1,and(c2,f1))))]]) ).
cnf(refute_0_3247,plain,
( not(and(and(c2,f1),b1)) != or(d1,or(c1,f2))
| not(and(b1,and(c2,f1))) = or(d1,or(c1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),b1)),not(and(b1,and(c2,f1)))) )],[refute_0_3245,refute_0_3246]) ).
cnf(refute_0_3248,plain,
not(and(b1,and(c2,f1))) = or(d1,or(c1,f2)),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),b1)),or(d1,or(c1,f2))) )],[refute_0_3244,refute_0_3247]) ).
cnf(refute_0_3249,plain,
( not(and(b1,and(c2,f1))) != or(d1,or(c1,f2))
| not(not(and(b1,and(c2,f1)))) != and(b1,and(c2,f1))
| not(or(d1,or(c1,f2))) = and(b1,and(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b1,and(c2,f1)))),and(b1,and(c2,f1))) ),[0,0],$fot(or(d1,or(c1,f2)))]]) ).
cnf(refute_0_3250,plain,
( not(not(and(b1,and(c2,f1)))) != and(b1,and(c2,f1))
| not(or(d1,or(c1,f2))) = and(b1,and(c2,f1)) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(c2,f1))),or(d1,or(c1,f2))) )],[refute_0_3248,refute_0_3249]) ).
cnf(refute_0_3251,plain,
not(or(d1,or(c1,f2))) = and(b1,and(c2,f1)),
inference(resolve,[$cnf( $equal(not(not(and(b1,and(c2,f1)))),and(b1,and(c2,f1))) )],[refute_0_3217,refute_0_3250]) ).
cnf(refute_0_3252,plain,
not(not(and(c2,f1))) = and(c2,f1),
inference(subst,[],[not_simplification:[bind(X,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3253,plain,
( not(and(c2,f1)) != or(c1,f2)
| not(not(and(c2,f1))) != and(c2,f1)
| not(or(c1,f2)) = and(c2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(c2,f1))),and(c2,f1)) ),[0,0],$fot(or(c1,f2))]]) ).
cnf(refute_0_3254,plain,
( not(not(and(c2,f1))) != and(c2,f1)
| not(or(c1,f2)) = and(c2,f1) ),
inference(resolve,[$cnf( $equal(not(and(c2,f1)),or(c1,f2)) )],[refute_0_3241,refute_0_3253]) ).
cnf(refute_0_3255,plain,
not(or(c1,f2)) = and(c2,f1),
inference(resolve,[$cnf( $equal(not(not(and(c2,f1))),and(c2,f1)) )],[refute_0_3252,refute_0_3254]) ).
cnf(refute_0_3256,plain,
or(or(d1,f2),c1) = or(c1,or(d1,f2)),
inference(subst,[],[or_commutativity:[bind(X,$fot(or(d1,f2))),bind(Y,$fot(c1))]]) ).
cnf(refute_0_3257,plain,
not(and(and(b1,c2),f1)) = or(c1,not(and(b1,c2))),
inference(subst,[],[refute_0_2309:[bind(X_109,$fot(and(b1,c2)))]]) ).
cnf(refute_0_3258,plain,
( not(and(and(b1,c2),f1)) != or(c1,not(and(b1,c2)))
| not(and(b1,c2)) != or(d1,f2)
| not(and(and(b1,c2),f1)) = or(c1,or(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,c2),f1)),or(c1,not(and(b1,c2)))) ),[1,1],$fot(or(d1,f2))]]) ).
cnf(refute_0_3259,plain,
( not(and(and(b1,c2),f1)) != or(c1,not(and(b1,c2)))
| not(and(and(b1,c2),f1)) = or(c1,or(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(b1,c2)),or(d1,f2)) )],[refute_0_1649,refute_0_3258]) ).
cnf(refute_0_3260,plain,
not(and(and(b1,c2),f1)) = or(c1,or(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(and(b1,c2),f1)),or(c1,not(and(b1,c2)))) )],[refute_0_3257,refute_0_3259]) ).
cnf(refute_0_3261,plain,
or(and(d1,f1),and(f1,not(d1))) = f1,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d1)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_3262,plain,
( and(d1,f1) != n0
| or(and(d1,f1),and(f1,not(d1))) != f1
| or(n0,and(f1,not(d1))) = f1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,f1),and(f1,not(d1))),f1) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_3263,plain,
( or(and(d1,f1),and(f1,not(d1))) != f1
| or(n0,and(f1,not(d1))) = f1 ),
inference(resolve,[$cnf( $equal(and(d1,f1),n0) )],[refute_0_124,refute_0_3262]) ).
cnf(refute_0_3264,plain,
or(n0,and(f1,not(d1))) = f1,
inference(resolve,[$cnf( $equal(or(and(d1,f1),and(f1,not(d1))),f1) )],[refute_0_3261,refute_0_3263]) ).
cnf(refute_0_3265,plain,
and(f1,b1) = and(b1,f1),
inference(subst,[],[refute_0_129:[bind(X,$fot(b1)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_3266,plain,
and(f1,not(d1)) = and(f1,not(d1)),
introduced(tautology,[refl,[$fot(and(f1,not(d1)))]]) ).
cnf(refute_0_3267,plain,
( and(f1,not(d1)) != and(f1,not(d1))
| not(d1) != b1
| and(f1,not(d1)) = and(f1,b1) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,not(d1)),and(f1,not(d1))) ),[1,1],$fot(b1)]]) ).
cnf(refute_0_3268,plain,
( not(d1) != b1
| and(f1,not(d1)) = and(f1,b1) ),
inference(resolve,[$cnf( $equal(and(f1,not(d1)),and(f1,not(d1))) )],[refute_0_3266,refute_0_3267]) ).
cnf(refute_0_3269,plain,
and(f1,not(d1)) = and(f1,b1),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_3268]) ).
cnf(refute_0_3270,plain,
( and(f1,b1) != and(b1,f1)
| and(f1,not(d1)) != and(f1,b1)
| and(f1,not(d1)) = and(b1,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f1,not(d1)))),bind(Y0,$fot(and(f1,b1))),bind(Z0,$fot(and(b1,f1)))]]) ).
cnf(refute_0_3271,plain,
( and(f1,b1) != and(b1,f1)
| and(f1,not(d1)) = and(b1,f1) ),
inference(resolve,[$cnf( $equal(and(f1,not(d1)),and(f1,b1)) )],[refute_0_3269,refute_0_3270]) ).
cnf(refute_0_3272,plain,
and(f1,not(d1)) = and(b1,f1),
inference(resolve,[$cnf( $equal(and(f1,b1),and(b1,f1)) )],[refute_0_3265,refute_0_3271]) ).
cnf(refute_0_3273,plain,
or(n0,and(f1,not(d1))) = and(f1,not(d1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(f1,not(d1))))]]) ).
cnf(refute_0_3274,plain,
( and(f1,not(d1)) != and(b1,f1)
| or(n0,and(f1,not(d1))) != and(f1,not(d1))
| or(n0,and(f1,not(d1))) = and(b1,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(f1,not(d1))))),bind(Y0,$fot(and(f1,not(d1)))),bind(Z0,$fot(and(b1,f1)))]]) ).
cnf(refute_0_3275,plain,
( and(f1,not(d1)) != and(b1,f1)
| or(n0,and(f1,not(d1))) = and(b1,f1) ),
inference(resolve,[$cnf( $equal(or(n0,and(f1,not(d1))),and(f1,not(d1))) )],[refute_0_3273,refute_0_3274]) ).
cnf(refute_0_3276,plain,
or(n0,and(f1,not(d1))) = and(b1,f1),
inference(resolve,[$cnf( $equal(and(f1,not(d1)),and(b1,f1)) )],[refute_0_3272,refute_0_3275]) ).
cnf(refute_0_3277,plain,
( or(n0,and(f1,not(d1))) != and(b1,f1)
| or(n0,and(f1,not(d1))) != f1
| and(b1,f1) = f1 ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(f1,not(d1))),f1) ),[0],$fot(and(b1,f1))]]) ).
cnf(refute_0_3278,plain,
( or(n0,and(f1,not(d1))) != f1
| and(b1,f1) = f1 ),
inference(resolve,[$cnf( $equal(or(n0,and(f1,not(d1))),and(b1,f1)) )],[refute_0_3276,refute_0_3277]) ).
cnf(refute_0_3279,plain,
and(b1,f1) = f1,
inference(resolve,[$cnf( $equal(or(n0,and(f1,not(d1))),f1) )],[refute_0_3264,refute_0_3278]) ).
cnf(refute_0_3280,plain,
and(c2,and(b1,f1)) = and(c2,and(b1,f1)),
introduced(tautology,[refl,[$fot(and(c2,and(b1,f1)))]]) ).
cnf(refute_0_3281,plain,
( and(b1,f1) != f1
| and(c2,and(b1,f1)) != and(c2,and(b1,f1))
| and(c2,and(b1,f1)) = and(c2,f1) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,and(b1,f1)),and(c2,and(b1,f1))) ),[1,1],$fot(f1)]]) ).
cnf(refute_0_3282,plain,
( and(b1,f1) != f1
| and(c2,and(b1,f1)) = and(c2,f1) ),
inference(resolve,[$cnf( $equal(and(c2,and(b1,f1)),and(c2,and(b1,f1))) )],[refute_0_3280,refute_0_3281]) ).
cnf(refute_0_3283,plain,
and(c2,and(b1,f1)) = and(c2,f1),
inference(resolve,[$cnf( $equal(and(b1,f1),f1) )],[refute_0_3279,refute_0_3282]) ).
cnf(refute_0_3284,plain,
and(c2,and(f1,b1)) = and(c2,and(b1,f1)),
inference(subst,[],[refute_0_944:[bind(X,$fot(c2)),bind(Y,$fot(b1)),bind(Z,$fot(f1))]]) ).
cnf(refute_0_3285,plain,
( and(c2,and(b1,f1)) != and(c2,f1)
| and(c2,and(f1,b1)) != and(c2,and(b1,f1))
| and(c2,and(f1,b1)) = and(c2,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c2,and(f1,b1)))),bind(Y0,$fot(and(c2,and(b1,f1)))),bind(Z0,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3286,plain,
( and(c2,and(b1,f1)) != and(c2,f1)
| and(c2,and(f1,b1)) = and(c2,f1) ),
inference(resolve,[$cnf( $equal(and(c2,and(f1,b1)),and(c2,and(b1,f1))) )],[refute_0_3284,refute_0_3285]) ).
cnf(refute_0_3287,plain,
and(c2,and(f1,b1)) = and(c2,f1),
inference(resolve,[$cnf( $equal(and(c2,and(b1,f1)),and(c2,f1)) )],[refute_0_3283,refute_0_3286]) ).
cnf(refute_0_3288,plain,
not(and(c2,and(f1,b1))) = not(and(c2,and(f1,b1))),
introduced(tautology,[refl,[$fot(not(and(c2,and(f1,b1))))]]) ).
cnf(refute_0_3289,plain,
( and(c2,and(f1,b1)) != and(c2,f1)
| not(and(c2,and(f1,b1))) != not(and(c2,and(f1,b1)))
| not(and(c2,and(f1,b1))) = not(and(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(c2,and(f1,b1))),not(and(c2,and(f1,b1)))) ),[1,0],$fot(and(c2,f1))]]) ).
cnf(refute_0_3290,plain,
( and(c2,and(f1,b1)) != and(c2,f1)
| not(and(c2,and(f1,b1))) = not(and(c2,f1)) ),
inference(resolve,[$cnf( $equal(not(and(c2,and(f1,b1))),not(and(c2,and(f1,b1)))) )],[refute_0_3288,refute_0_3289]) ).
cnf(refute_0_3291,plain,
not(and(c2,and(f1,b1))) = not(and(c2,f1)),
inference(resolve,[$cnf( $equal(and(c2,and(f1,b1)),and(c2,f1)) )],[refute_0_3287,refute_0_3290]) ).
cnf(refute_0_3292,plain,
( not(and(c2,and(f1,b1))) != not(and(c2,f1))
| not(and(c2,f1)) != or(c1,f2)
| not(and(c2,and(f1,b1))) = or(c1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(c2,and(f1,b1))))),bind(Y0,$fot(not(and(c2,f1)))),bind(Z0,$fot(or(c1,f2)))]]) ).
cnf(refute_0_3293,plain,
( not(and(c2,f1)) != or(c1,f2)
| not(and(c2,and(f1,b1))) = or(c1,f2) ),
inference(resolve,[$cnf( $equal(not(and(c2,and(f1,b1))),not(and(c2,f1))) )],[refute_0_3291,refute_0_3292]) ).
cnf(refute_0_3294,plain,
not(and(c2,and(f1,b1))) = or(c1,f2),
inference(resolve,[$cnf( $equal(not(and(c2,f1)),or(c1,f2)) )],[refute_0_3241,refute_0_3293]) ).
cnf(refute_0_3295,plain,
not(and(and(c2,f1),Y)) = or(not(and(c2,f1)),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3296,plain,
( not(and(and(c2,f1),Y)) != or(not(and(c2,f1)),not(Y))
| not(and(c2,f1)) != or(c1,f2)
| not(and(and(c2,f1),Y)) = or(or(c1,f2),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,f1),Y)),or(not(and(c2,f1)),not(Y))) ),[1,0],$fot(or(c1,f2))]]) ).
cnf(refute_0_3297,plain,
( not(and(and(c2,f1),Y)) != or(not(and(c2,f1)),not(Y))
| not(and(and(c2,f1),Y)) = or(or(c1,f2),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(c2,f1)),or(c1,f2)) )],[refute_0_3241,refute_0_3296]) ).
cnf(refute_0_3298,plain,
not(and(and(c2,f1),Y)) = or(or(c1,f2),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),Y)),or(not(and(c2,f1)),not(Y))) )],[refute_0_3295,refute_0_3297]) ).
cnf(refute_0_3299,plain,
and(and(c2,f1),Y) = and(c2,and(f1,Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(c2)),bind(Y,$fot(f1)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_3300,plain,
not(and(and(c2,f1),Y)) = not(and(and(c2,f1),Y)),
introduced(tautology,[refl,[$fot(not(and(and(c2,f1),Y)))]]) ).
cnf(refute_0_3301,plain,
( and(and(c2,f1),Y) != and(c2,and(f1,Y))
| not(and(and(c2,f1),Y)) != not(and(and(c2,f1),Y))
| not(and(and(c2,f1),Y)) = not(and(c2,and(f1,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,f1),Y)),not(and(and(c2,f1),Y))) ),[1,0],$fot(and(c2,and(f1,Y)))]]) ).
cnf(refute_0_3302,plain,
( and(and(c2,f1),Y) != and(c2,and(f1,Y))
| not(and(and(c2,f1),Y)) = not(and(c2,and(f1,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),Y)),not(and(and(c2,f1),Y))) )],[refute_0_3300,refute_0_3301]) ).
cnf(refute_0_3303,plain,
not(and(and(c2,f1),Y)) = not(and(c2,and(f1,Y))),
inference(resolve,[$cnf( $equal(and(and(c2,f1),Y),and(c2,and(f1,Y))) )],[refute_0_3299,refute_0_3302]) ).
cnf(refute_0_3304,plain,
( not(and(and(c2,f1),Y)) != not(and(c2,and(f1,Y)))
| not(and(and(c2,f1),Y)) != or(or(c1,f2),not(Y))
| not(and(c2,and(f1,Y))) = or(or(c1,f2),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,f1),Y)),or(or(c1,f2),not(Y))) ),[0],$fot(not(and(c2,and(f1,Y))))]]) ).
cnf(refute_0_3305,plain,
( not(and(and(c2,f1),Y)) != or(or(c1,f2),not(Y))
| not(and(c2,and(f1,Y))) = or(or(c1,f2),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),Y)),not(and(c2,and(f1,Y)))) )],[refute_0_3303,refute_0_3304]) ).
cnf(refute_0_3306,plain,
not(and(f1,Y)) = or(not(f1),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(f1))]]) ).
cnf(refute_0_3307,plain,
( not(and(f1,Y)) != or(not(f1),not(Y))
| not(f1) != c1
| not(and(f1,Y)) = or(c1,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(f1,Y)),or(not(f1),not(Y))) ),[1,0],$fot(c1)]]) ).
cnf(refute_0_3308,plain,
( not(and(f1,Y)) != or(not(f1),not(Y))
| not(and(f1,Y)) = or(c1,not(Y)) ),
inference(resolve,[$cnf( $equal(not(f1),c1) )],[refute_0_602,refute_0_3307]) ).
cnf(refute_0_3309,plain,
not(and(f1,Y)) = or(c1,not(Y)),
inference(resolve,[$cnf( $equal(not(and(f1,Y)),or(not(f1),not(Y))) )],[refute_0_3306,refute_0_3308]) ).
cnf(refute_0_3310,plain,
or(c1,not(Y)) = not(and(Y,f1)),
inference(subst,[],[refute_0_2361:[bind(X_109,$fot(Y))]]) ).
cnf(refute_0_3311,plain,
( not(and(f1,Y)) != or(c1,not(Y))
| or(c1,not(Y)) != not(and(Y,f1))
| not(and(f1,Y)) = not(and(Y,f1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(f1,Y)),not(and(Y,f1))) ),[0],$fot(or(c1,not(Y)))]]) ).
cnf(refute_0_3312,plain,
( not(and(f1,Y)) != or(c1,not(Y))
| not(and(f1,Y)) = not(and(Y,f1)) ),
inference(resolve,[$cnf( $equal(or(c1,not(Y)),not(and(Y,f1))) )],[refute_0_3310,refute_0_3311]) ).
cnf(refute_0_3313,plain,
not(and(f1,Y)) = not(and(Y,f1)),
inference(resolve,[$cnf( $equal(not(and(f1,Y)),or(c1,not(Y))) )],[refute_0_3309,refute_0_3312]) ).
cnf(refute_0_3314,plain,
( not(and(f1,Y)) != not(and(Y,f1))
| not(and(Y,f1)) = not(and(f1,Y)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(f1,Y)))),bind(Y0,$fot(not(and(Y,f1))))]]) ).
cnf(refute_0_3315,plain,
not(and(Y,f1)) = not(and(f1,Y)),
inference(resolve,[$cnf( $equal(not(and(f1,Y)),not(and(Y,f1))) )],[refute_0_3313,refute_0_3314]) ).
cnf(refute_0_3316,plain,
not(and(and(Y,c2),f1)) = not(and(f1,and(Y,c2))),
inference(subst,[],[refute_0_3315:[bind(Y,$fot(and(Y,c2)))]]) ).
cnf(refute_0_3317,plain,
or(c1,not(and(Y,c2))) = not(and(and(Y,c2),f1)),
inference(subst,[],[refute_0_2361:[bind(X_109,$fot(and(Y,c2)))]]) ).
cnf(refute_0_3318,plain,
( not(and(and(Y,c2),f1)) != not(and(f1,and(Y,c2)))
| or(c1,not(and(Y,c2))) != not(and(and(Y,c2),f1))
| or(c1,not(and(Y,c2))) = not(and(f1,and(Y,c2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(c1,not(and(Y,c2))))),bind(Y0,$fot(not(and(and(Y,c2),f1)))),bind(Z0,$fot(not(and(f1,and(Y,c2)))))]]) ).
cnf(refute_0_3319,plain,
( not(and(and(Y,c2),f1)) != not(and(f1,and(Y,c2)))
| or(c1,not(and(Y,c2))) = not(and(f1,and(Y,c2))) ),
inference(resolve,[$cnf( $equal(or(c1,not(and(Y,c2))),not(and(and(Y,c2),f1))) )],[refute_0_3317,refute_0_3318]) ).
cnf(refute_0_3320,plain,
or(c1,not(and(Y,c2))) = not(and(f1,and(Y,c2))),
inference(resolve,[$cnf( $equal(not(and(and(Y,c2),f1)),not(and(f1,and(Y,c2)))) )],[refute_0_3316,refute_0_3319]) ).
cnf(refute_0_3321,plain,
and(X_109,i2) = and(X_109,i2),
introduced(tautology,[refl,[$fot(and(X_109,i2))]]) ).
cnf(refute_0_3322,plain,
( and(X_109,i2) != and(X_109,i2)
| i2 != c2
| and(X_109,i2) = and(X_109,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(X_109,i2),and(X_109,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_3323,plain,
( i2 != c2
| and(X_109,i2) = and(X_109,c2) ),
inference(resolve,[$cnf( $equal(and(X_109,i2),and(X_109,i2)) )],[refute_0_3321,refute_0_3322]) ).
cnf(refute_0_3324,plain,
and(X_109,i2) = and(X_109,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_3323]) ).
cnf(refute_0_3325,plain,
not(and(X_109,i2)) = not(and(X_109,i2)),
introduced(tautology,[refl,[$fot(not(and(X_109,i2)))]]) ).
cnf(refute_0_3326,plain,
( and(X_109,i2) != and(X_109,c2)
| not(and(X_109,i2)) != not(and(X_109,i2))
| not(and(X_109,i2)) = not(and(X_109,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,i2)),not(and(X_109,i2))) ),[1,0],$fot(and(X_109,c2))]]) ).
cnf(refute_0_3327,plain,
( and(X_109,i2) != and(X_109,c2)
| not(and(X_109,i2)) = not(and(X_109,c2)) ),
inference(resolve,[$cnf( $equal(not(and(X_109,i2)),not(and(X_109,i2))) )],[refute_0_3325,refute_0_3326]) ).
cnf(refute_0_3328,plain,
not(and(X_109,i2)) = not(and(X_109,c2)),
inference(resolve,[$cnf( $equal(and(X_109,i2),and(X_109,c2)) )],[refute_0_3324,refute_0_3327]) ).
cnf(refute_0_3329,plain,
( not(and(X_109,i2)) != not(and(X_109,c2))
| not(and(X_109,i2)) != or(f2,not(X_109))
| not(and(X_109,c2)) = or(f2,not(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(X_109,i2)),or(f2,not(X_109))) ),[0],$fot(not(and(X_109,c2)))]]) ).
cnf(refute_0_3330,plain,
( not(and(X_109,i2)) != or(f2,not(X_109))
| not(and(X_109,c2)) = or(f2,not(X_109)) ),
inference(resolve,[$cnf( $equal(not(and(X_109,i2)),not(and(X_109,c2))) )],[refute_0_3328,refute_0_3329]) ).
cnf(refute_0_3331,plain,
not(and(X_109,c2)) = or(f2,not(X_109)),
inference(resolve,[$cnf( $equal(not(and(X_109,i2)),or(f2,not(X_109))) )],[refute_0_431,refute_0_3330]) ).
cnf(refute_0_3332,plain,
( not(and(X_109,c2)) != or(f2,not(X_109))
| or(f2,not(X_109)) = not(and(X_109,c2)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(X_109,c2)))),bind(Y0,$fot(or(f2,not(X_109))))]]) ).
cnf(refute_0_3333,plain,
or(f2,not(X_109)) = not(and(X_109,c2)),
inference(resolve,[$cnf( $equal(not(and(X_109,c2)),or(f2,not(X_109))) )],[refute_0_3331,refute_0_3332]) ).
cnf(refute_0_3334,plain,
or(f2,not(Y)) = not(and(Y,c2)),
inference(subst,[],[refute_0_3333:[bind(X_109,$fot(Y))]]) ).
cnf(refute_0_3335,plain,
or(c1,or(f2,not(Y))) = or(c1,or(f2,not(Y))),
introduced(tautology,[refl,[$fot(or(c1,or(f2,not(Y))))]]) ).
cnf(refute_0_3336,plain,
( or(c1,or(f2,not(Y))) != or(c1,or(f2,not(Y)))
| or(f2,not(Y)) != not(and(Y,c2))
| or(c1,or(f2,not(Y))) = or(c1,not(and(Y,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,or(f2,not(Y))),or(c1,or(f2,not(Y)))) ),[1,1],$fot(not(and(Y,c2)))]]) ).
cnf(refute_0_3337,plain,
( or(f2,not(Y)) != not(and(Y,c2))
| or(c1,or(f2,not(Y))) = or(c1,not(and(Y,c2))) ),
inference(resolve,[$cnf( $equal(or(c1,or(f2,not(Y))),or(c1,or(f2,not(Y)))) )],[refute_0_3335,refute_0_3336]) ).
cnf(refute_0_3338,plain,
or(c1,or(f2,not(Y))) = or(c1,not(and(Y,c2))),
inference(resolve,[$cnf( $equal(or(f2,not(Y)),not(and(Y,c2))) )],[refute_0_3334,refute_0_3337]) ).
cnf(refute_0_3339,plain,
( or(c1,not(and(Y,c2))) != not(and(f1,and(Y,c2)))
| or(c1,or(f2,not(Y))) != or(c1,not(and(Y,c2)))
| or(c1,or(f2,not(Y))) = not(and(f1,and(Y,c2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(c1,or(f2,not(Y))))),bind(Y0,$fot(or(c1,not(and(Y,c2))))),bind(Z0,$fot(not(and(f1,and(Y,c2)))))]]) ).
cnf(refute_0_3340,plain,
( or(c1,not(and(Y,c2))) != not(and(f1,and(Y,c2)))
| or(c1,or(f2,not(Y))) = not(and(f1,and(Y,c2))) ),
inference(resolve,[$cnf( $equal(or(c1,or(f2,not(Y))),or(c1,not(and(Y,c2)))) )],[refute_0_3338,refute_0_3339]) ).
cnf(refute_0_3341,plain,
or(c1,or(f2,not(Y))) = not(and(f1,and(Y,c2))),
inference(resolve,[$cnf( $equal(or(c1,not(and(Y,c2))),not(and(f1,and(Y,c2)))) )],[refute_0_3320,refute_0_3340]) ).
cnf(refute_0_3342,plain,
or(or(c1,f2),not(Y)) = or(c1,or(f2,not(Y))),
inference(subst,[],[refute_0_65:[bind(X,$fot(c1)),bind(Y,$fot(f2)),bind(Z,$fot(not(Y)))]]) ).
cnf(refute_0_3343,plain,
( or(c1,or(f2,not(Y))) != not(and(f1,and(Y,c2)))
| or(or(c1,f2),not(Y)) != or(c1,or(f2,not(Y)))
| or(or(c1,f2),not(Y)) = not(and(f1,and(Y,c2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(c1,f2),not(Y)))),bind(Y0,$fot(or(c1,or(f2,not(Y))))),bind(Z0,$fot(not(and(f1,and(Y,c2)))))]]) ).
cnf(refute_0_3344,plain,
( or(c1,or(f2,not(Y))) != not(and(f1,and(Y,c2)))
| or(or(c1,f2),not(Y)) = not(and(f1,and(Y,c2))) ),
inference(resolve,[$cnf( $equal(or(or(c1,f2),not(Y)),or(c1,or(f2,not(Y)))) )],[refute_0_3342,refute_0_3343]) ).
cnf(refute_0_3345,plain,
or(or(c1,f2),not(Y)) = not(and(f1,and(Y,c2))),
inference(resolve,[$cnf( $equal(or(c1,or(f2,not(Y))),not(and(f1,and(Y,c2)))) )],[refute_0_3341,refute_0_3344]) ).
cnf(refute_0_3346,plain,
( not(and(c2,and(f1,Y))) != or(or(c1,f2),not(Y))
| or(or(c1,f2),not(Y)) != not(and(f1,and(Y,c2)))
| not(and(c2,and(f1,Y))) = not(and(f1,and(Y,c2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(c2,and(f1,Y))),not(and(f1,and(Y,c2)))) ),[0],$fot(or(or(c1,f2),not(Y)))]]) ).
cnf(refute_0_3347,plain,
( not(and(c2,and(f1,Y))) != or(or(c1,f2),not(Y))
| not(and(c2,and(f1,Y))) = not(and(f1,and(Y,c2))) ),
inference(resolve,[$cnf( $equal(or(or(c1,f2),not(Y)),not(and(f1,and(Y,c2)))) )],[refute_0_3345,refute_0_3346]) ).
cnf(refute_0_3348,plain,
( not(and(and(c2,f1),Y)) != or(or(c1,f2),not(Y))
| not(and(c2,and(f1,Y))) = not(and(f1,and(Y,c2))) ),
inference(resolve,[$cnf( $equal(not(and(c2,and(f1,Y))),or(or(c1,f2),not(Y))) )],[refute_0_3305,refute_0_3347]) ).
cnf(refute_0_3349,plain,
not(and(c2,and(f1,Y))) = not(and(f1,and(Y,c2))),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),Y)),or(or(c1,f2),not(Y))) )],[refute_0_3298,refute_0_3348]) ).
cnf(refute_0_3350,plain,
( not(and(c2,and(f1,Y))) != not(and(f1,and(Y,c2)))
| not(and(f1,and(Y,c2))) = not(and(c2,and(f1,Y))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(c2,and(f1,Y))))),bind(Y0,$fot(not(and(f1,and(Y,c2)))))]]) ).
cnf(refute_0_3351,plain,
not(and(f1,and(Y,c2))) = not(and(c2,and(f1,Y))),
inference(resolve,[$cnf( $equal(not(and(c2,and(f1,Y))),not(and(f1,and(Y,c2)))) )],[refute_0_3349,refute_0_3350]) ).
cnf(refute_0_3352,plain,
not(and(f1,and(b1,c2))) = not(and(c2,and(f1,b1))),
inference(subst,[],[refute_0_3351:[bind(Y,$fot(b1))]]) ).
cnf(refute_0_3353,plain,
not(and(and(b1,c2),f1)) = not(and(f1,and(b1,c2))),
inference(subst,[],[refute_0_2367:[bind(X_116,$fot(and(b1,c2)))]]) ).
cnf(refute_0_3354,plain,
( not(and(and(b1,c2),f1)) != not(and(f1,and(b1,c2)))
| not(and(f1,and(b1,c2))) != not(and(c2,and(f1,b1)))
| not(and(and(b1,c2),f1)) = not(and(c2,and(f1,b1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(b1,c2),f1)))),bind(Y0,$fot(not(and(f1,and(b1,c2))))),bind(Z0,$fot(not(and(c2,and(f1,b1)))))]]) ).
cnf(refute_0_3355,plain,
( not(and(f1,and(b1,c2))) != not(and(c2,and(f1,b1)))
| not(and(and(b1,c2),f1)) = not(and(c2,and(f1,b1))) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,c2),f1)),not(and(f1,and(b1,c2)))) )],[refute_0_3353,refute_0_3354]) ).
cnf(refute_0_3356,plain,
not(and(and(b1,c2),f1)) = not(and(c2,and(f1,b1))),
inference(resolve,[$cnf( $equal(not(and(f1,and(b1,c2))),not(and(c2,and(f1,b1)))) )],[refute_0_3352,refute_0_3355]) ).
cnf(refute_0_3357,plain,
( not(and(and(b1,c2),f1)) != not(and(c2,and(f1,b1)))
| not(and(c2,and(f1,b1))) != or(c1,f2)
| not(and(and(b1,c2),f1)) = or(c1,f2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(b1,c2),f1)))),bind(Y0,$fot(not(and(c2,and(f1,b1))))),bind(Z0,$fot(or(c1,f2)))]]) ).
cnf(refute_0_3358,plain,
( not(and(c2,and(f1,b1))) != or(c1,f2)
| not(and(and(b1,c2),f1)) = or(c1,f2) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,c2),f1)),not(and(c2,and(f1,b1)))) )],[refute_0_3356,refute_0_3357]) ).
cnf(refute_0_3359,plain,
not(and(and(b1,c2),f1)) = or(c1,f2),
inference(resolve,[$cnf( $equal(not(and(c2,and(f1,b1))),or(c1,f2)) )],[refute_0_3294,refute_0_3358]) ).
cnf(refute_0_3360,plain,
( not(and(and(b1,c2),f1)) != or(c1,f2)
| not(and(and(b1,c2),f1)) != or(c1,or(d1,f2))
| or(c1,f2) = or(c1,or(d1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,c2),f1)),or(c1,or(d1,f2))) ),[0],$fot(or(c1,f2))]]) ).
cnf(refute_0_3361,plain,
( not(and(and(b1,c2),f1)) != or(c1,or(d1,f2))
| or(c1,f2) = or(c1,or(d1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,c2),f1)),or(c1,f2)) )],[refute_0_3359,refute_0_3360]) ).
cnf(refute_0_3362,plain,
or(c1,f2) = or(c1,or(d1,f2)),
inference(resolve,[$cnf( $equal(not(and(and(b1,c2),f1)),or(c1,or(d1,f2))) )],[refute_0_3260,refute_0_3361]) ).
cnf(refute_0_3363,plain,
( or(c1,f2) != or(c1,or(d1,f2))
| or(c1,or(d1,f2)) = or(c1,f2) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(or(c1,f2))),bind(Y0,$fot(or(c1,or(d1,f2))))]]) ).
cnf(refute_0_3364,plain,
or(c1,or(d1,f2)) = or(c1,f2),
inference(resolve,[$cnf( $equal(or(c1,f2),or(c1,or(d1,f2))) )],[refute_0_3362,refute_0_3363]) ).
cnf(refute_0_3365,plain,
( or(c1,or(d1,f2)) != or(c1,f2)
| or(or(d1,f2),c1) != or(c1,or(d1,f2))
| or(or(d1,f2),c1) = or(c1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(d1,f2),c1),or(c1,or(d1,f2))) ),[1],$fot(or(c1,f2))]]) ).
cnf(refute_0_3366,plain,
( or(or(d1,f2),c1) != or(c1,or(d1,f2))
| or(or(d1,f2),c1) = or(c1,f2) ),
inference(resolve,[$cnf( $equal(or(c1,or(d1,f2)),or(c1,f2)) )],[refute_0_3364,refute_0_3365]) ).
cnf(refute_0_3367,plain,
or(or(d1,f2),c1) = or(c1,f2),
inference(resolve,[$cnf( $equal(or(or(d1,f2),c1),or(c1,or(d1,f2))) )],[refute_0_3256,refute_0_3366]) ).
cnf(refute_0_3368,plain,
or(d1,or(f2,c1)) = or(d1,or(c1,f2)),
inference(subst,[],[refute_0_1901:[bind(X,$fot(d1)),bind(Y,$fot(c1)),bind(Z,$fot(f2))]]) ).
cnf(refute_0_3369,plain,
or(or(d1,f2),c1) = or(d1,or(f2,c1)),
inference(subst,[],[refute_0_65:[bind(X,$fot(d1)),bind(Y,$fot(f2)),bind(Z,$fot(c1))]]) ).
cnf(refute_0_3370,plain,
( or(d1,or(f2,c1)) != or(d1,or(c1,f2))
| or(or(d1,f2),c1) != or(d1,or(f2,c1))
| or(or(d1,f2),c1) = or(d1,or(c1,f2)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(d1,f2),c1))),bind(Y0,$fot(or(d1,or(f2,c1)))),bind(Z0,$fot(or(d1,or(c1,f2))))]]) ).
cnf(refute_0_3371,plain,
( or(d1,or(f2,c1)) != or(d1,or(c1,f2))
| or(or(d1,f2),c1) = or(d1,or(c1,f2)) ),
inference(resolve,[$cnf( $equal(or(or(d1,f2),c1),or(d1,or(f2,c1))) )],[refute_0_3369,refute_0_3370]) ).
cnf(refute_0_3372,plain,
or(or(d1,f2),c1) = or(d1,or(c1,f2)),
inference(resolve,[$cnf( $equal(or(d1,or(f2,c1)),or(d1,or(c1,f2))) )],[refute_0_3368,refute_0_3371]) ).
cnf(refute_0_3373,plain,
( or(or(d1,f2),c1) != or(c1,f2)
| or(or(d1,f2),c1) != or(d1,or(c1,f2))
| or(d1,or(c1,f2)) = or(c1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(or(or(d1,f2),c1),or(c1,f2)) ),[0],$fot(or(d1,or(c1,f2)))]]) ).
cnf(refute_0_3374,plain,
( or(or(d1,f2),c1) != or(c1,f2)
| or(d1,or(c1,f2)) = or(c1,f2) ),
inference(resolve,[$cnf( $equal(or(or(d1,f2),c1),or(d1,or(c1,f2))) )],[refute_0_3372,refute_0_3373]) ).
cnf(refute_0_3375,plain,
or(d1,or(c1,f2)) = or(c1,f2),
inference(resolve,[$cnf( $equal(or(or(d1,f2),c1),or(c1,f2)) )],[refute_0_3367,refute_0_3374]) ).
cnf(refute_0_3376,plain,
not(or(d1,or(c1,f2))) = not(or(d1,or(c1,f2))),
introduced(tautology,[refl,[$fot(not(or(d1,or(c1,f2))))]]) ).
cnf(refute_0_3377,plain,
( not(or(d1,or(c1,f2))) != not(or(d1,or(c1,f2)))
| or(d1,or(c1,f2)) != or(c1,f2)
| not(or(d1,or(c1,f2))) = not(or(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d1,or(c1,f2))),not(or(d1,or(c1,f2)))) ),[1,0],$fot(or(c1,f2))]]) ).
cnf(refute_0_3378,plain,
( or(d1,or(c1,f2)) != or(c1,f2)
| not(or(d1,or(c1,f2))) = not(or(c1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(d1,or(c1,f2))),not(or(d1,or(c1,f2)))) )],[refute_0_3376,refute_0_3377]) ).
cnf(refute_0_3379,plain,
not(or(d1,or(c1,f2))) = not(or(c1,f2)),
inference(resolve,[$cnf( $equal(or(d1,or(c1,f2)),or(c1,f2)) )],[refute_0_3375,refute_0_3378]) ).
cnf(refute_0_3380,plain,
( not(or(c1,f2)) != and(c2,f1)
| not(or(d1,or(c1,f2))) != not(or(c1,f2))
| not(or(d1,or(c1,f2))) = and(c2,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(or(d1,or(c1,f2))))),bind(Y0,$fot(not(or(c1,f2)))),bind(Z0,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3381,plain,
( not(or(c1,f2)) != and(c2,f1)
| not(or(d1,or(c1,f2))) = and(c2,f1) ),
inference(resolve,[$cnf( $equal(not(or(d1,or(c1,f2))),not(or(c1,f2))) )],[refute_0_3379,refute_0_3380]) ).
cnf(refute_0_3382,plain,
not(or(d1,or(c1,f2))) = and(c2,f1),
inference(resolve,[$cnf( $equal(not(or(c1,f2)),and(c2,f1)) )],[refute_0_3255,refute_0_3381]) ).
cnf(refute_0_3383,plain,
( not(or(d1,or(c1,f2))) != and(b1,and(c2,f1))
| not(or(d1,or(c1,f2))) != and(c2,f1)
| and(c2,f1) = and(b1,and(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d1,or(c1,f2))),and(b1,and(c2,f1))) ),[0],$fot(and(c2,f1))]]) ).
cnf(refute_0_3384,plain,
( not(or(d1,or(c1,f2))) != and(b1,and(c2,f1))
| and(c2,f1) = and(b1,and(c2,f1)) ),
inference(resolve,[$cnf( $equal(not(or(d1,or(c1,f2))),and(c2,f1)) )],[refute_0_3382,refute_0_3383]) ).
cnf(refute_0_3385,plain,
and(c2,f1) = and(b1,and(c2,f1)),
inference(resolve,[$cnf( $equal(not(or(d1,or(c1,f2))),and(b1,and(c2,f1))) )],[refute_0_3251,refute_0_3384]) ).
cnf(refute_0_3386,plain,
or(and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,or(c1,and(b1,c2))),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(or(d1,f2))),bind(Y,$fot(and(f1,or(c1,and(b1,c2)))))]]) ).
cnf(refute_0_3387,plain,
and(and(or(d1,f2),or(c1,and(b1,c2))),and(f1,and(or(d1,f2),or(c1,and(b1,c2))))) = and(and(or(d1,f2),or(c1,and(b1,c2))),f1),
inference(subst,[],[refute_0_450:[bind(X,$fot(and(or(d1,f2),or(c1,and(b1,c2))))),bind(Y,$fot(f1))]]) ).
cnf(refute_0_3388,plain,
and(and(f1,or(d1,f2)),not(and(f1,or(d1,f2)))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(f1,or(d1,f2))))]]) ).
cnf(refute_0_3389,plain,
not(and(or(d1,f2),f1)) = or(c1,not(or(d1,f2))),
inference(subst,[],[refute_0_2309:[bind(X_109,$fot(or(d1,f2)))]]) ).
cnf(refute_0_3390,plain,
( not(and(or(d1,f2),f1)) != or(c1,not(or(d1,f2)))
| not(or(d1,f2)) != and(b1,c2)
| not(and(or(d1,f2),f1)) = or(c1,and(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(d1,f2),f1)),or(c1,not(or(d1,f2)))) ),[1,1],$fot(and(b1,c2))]]) ).
cnf(refute_0_3391,plain,
( not(and(or(d1,f2),f1)) != or(c1,not(or(d1,f2)))
| not(and(or(d1,f2),f1)) = or(c1,and(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(or(d1,f2)),and(b1,c2)) )],[refute_0_1652,refute_0_3390]) ).
cnf(refute_0_3392,plain,
not(and(or(d1,f2),f1)) = or(c1,and(b1,c2)),
inference(resolve,[$cnf( $equal(not(and(or(d1,f2),f1)),or(c1,not(or(d1,f2)))) )],[refute_0_3389,refute_0_3391]) ).
cnf(refute_0_3393,plain,
not(and(or(d1,f2),f1)) = not(and(f1,or(d1,f2))),
inference(subst,[],[refute_0_2367:[bind(X_116,$fot(or(d1,f2)))]]) ).
cnf(refute_0_3394,plain,
( not(and(or(d1,f2),f1)) != not(and(f1,or(d1,f2)))
| not(and(or(d1,f2),f1)) != or(c1,and(b1,c2))
| not(and(f1,or(d1,f2))) = or(c1,and(b1,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(d1,f2),f1)),or(c1,and(b1,c2))) ),[0],$fot(not(and(f1,or(d1,f2))))]]) ).
cnf(refute_0_3395,plain,
( not(and(or(d1,f2),f1)) != or(c1,and(b1,c2))
| not(and(f1,or(d1,f2))) = or(c1,and(b1,c2)) ),
inference(resolve,[$cnf( $equal(not(and(or(d1,f2),f1)),not(and(f1,or(d1,f2)))) )],[refute_0_3393,refute_0_3394]) ).
cnf(refute_0_3396,plain,
not(and(f1,or(d1,f2))) = or(c1,and(b1,c2)),
inference(resolve,[$cnf( $equal(not(and(or(d1,f2),f1)),or(c1,and(b1,c2))) )],[refute_0_3392,refute_0_3395]) ).
cnf(refute_0_3397,plain,
( and(and(f1,or(d1,f2)),not(and(f1,or(d1,f2)))) != n0
| not(and(f1,or(d1,f2))) != or(c1,and(b1,c2))
| and(and(f1,or(d1,f2)),or(c1,and(b1,c2))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(f1,or(d1,f2)),not(and(f1,or(d1,f2)))),n0) ),[0,1],$fot(or(c1,and(b1,c2)))]]) ).
cnf(refute_0_3398,plain,
( and(and(f1,or(d1,f2)),not(and(f1,or(d1,f2)))) != n0
| and(and(f1,or(d1,f2)),or(c1,and(b1,c2))) = n0 ),
inference(resolve,[$cnf( $equal(not(and(f1,or(d1,f2))),or(c1,and(b1,c2))) )],[refute_0_3396,refute_0_3397]) ).
cnf(refute_0_3399,plain,
and(and(f1,or(d1,f2)),or(c1,and(b1,c2))) = n0,
inference(resolve,[$cnf( $equal(and(and(f1,or(d1,f2)),not(and(f1,or(d1,f2)))),n0) )],[refute_0_3388,refute_0_3398]) ).
cnf(refute_0_3400,plain,
and(and(f1,or(d1,f2)),or(c1,and(b1,c2))) = and(f1,and(or(d1,f2),or(c1,and(b1,c2)))),
inference(subst,[],[refute_0_202:[bind(X,$fot(f1)),bind(Y,$fot(or(d1,f2))),bind(Z,$fot(or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3401,plain,
( and(and(f1,or(d1,f2)),or(c1,and(b1,c2))) != and(f1,and(or(d1,f2),or(c1,and(b1,c2))))
| and(and(f1,or(d1,f2)),or(c1,and(b1,c2))) != n0
| and(f1,and(or(d1,f2),or(c1,and(b1,c2)))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(f1,or(d1,f2)),or(c1,and(b1,c2))),n0) ),[0],$fot(and(f1,and(or(d1,f2),or(c1,and(b1,c2)))))]]) ).
cnf(refute_0_3402,plain,
( and(and(f1,or(d1,f2)),or(c1,and(b1,c2))) != n0
| and(f1,and(or(d1,f2),or(c1,and(b1,c2)))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(f1,or(d1,f2)),or(c1,and(b1,c2))),and(f1,and(or(d1,f2),or(c1,and(b1,c2))))) )],[refute_0_3400,refute_0_3401]) ).
cnf(refute_0_3403,plain,
and(f1,and(or(d1,f2),or(c1,and(b1,c2)))) = n0,
inference(resolve,[$cnf( $equal(and(and(f1,or(d1,f2)),or(c1,and(b1,c2))),n0) )],[refute_0_3399,refute_0_3402]) ).
cnf(refute_0_3404,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),and(f1,and(or(d1,f2),or(c1,and(b1,c2))))) != and(and(or(d1,f2),or(c1,and(b1,c2))),f1)
| and(f1,and(or(d1,f2),or(c1,and(b1,c2)))) != n0
| and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = and(and(or(d1,f2),or(c1,and(b1,c2))),f1) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),and(f1,and(or(d1,f2),or(c1,and(b1,c2))))),and(and(or(d1,f2),or(c1,and(b1,c2))),f1)) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_3405,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),and(f1,and(or(d1,f2),or(c1,and(b1,c2))))) != and(and(or(d1,f2),or(c1,and(b1,c2))),f1)
| and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = and(and(or(d1,f2),or(c1,and(b1,c2))),f1) ),
inference(resolve,[$cnf( $equal(and(f1,and(or(d1,f2),or(c1,and(b1,c2)))),n0) )],[refute_0_3403,refute_0_3404]) ).
cnf(refute_0_3406,plain,
and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = and(and(or(d1,f2),or(c1,and(b1,c2))),f1),
inference(resolve,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),and(f1,and(or(d1,f2),or(c1,and(b1,c2))))),and(and(or(d1,f2),or(c1,and(b1,c2))),f1)) )],[refute_0_3387,refute_0_3405]) ).
cnf(refute_0_3407,plain,
and(n0,or(d1,f2)) = n0,
inference(subst,[],[refute_0_143:[bind(X,$fot(or(d1,f2)))]]) ).
cnf(refute_0_3408,plain,
and(or(d1,f2),n0) = and(n0,or(d1,f2)),
inference(subst,[],[refute_0_129:[bind(X,$fot(n0)),bind(Y,$fot(or(d1,f2)))]]) ).
cnf(refute_0_3409,plain,
( and(n0,or(d1,f2)) != n0
| and(or(d1,f2),n0) != and(n0,or(d1,f2))
| and(or(d1,f2),n0) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(or(d1,f2),n0))),bind(Y0,$fot(and(n0,or(d1,f2)))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_3410,plain,
( and(n0,or(d1,f2)) != n0
| and(or(d1,f2),n0) = n0 ),
inference(resolve,[$cnf( $equal(and(or(d1,f2),n0),and(n0,or(d1,f2))) )],[refute_0_3408,refute_0_3409]) ).
cnf(refute_0_3411,plain,
and(or(d1,f2),n0) = n0,
inference(resolve,[$cnf( $equal(and(n0,or(d1,f2)),n0) )],[refute_0_3407,refute_0_3410]) ).
cnf(refute_0_3412,plain,
and(n0,or(c1,and(b1,c2))) = n0,
inference(subst,[],[refute_0_143:[bind(X,$fot(or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3413,plain,
and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) = and(or(d1,f2),and(n0,or(c1,and(b1,c2)))),
introduced(tautology,[refl,[$fot(and(or(d1,f2),and(n0,or(c1,and(b1,c2)))))]]) ).
cnf(refute_0_3414,plain,
( and(n0,or(c1,and(b1,c2))) != n0
| and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) != and(or(d1,f2),and(n0,or(c1,and(b1,c2))))
| and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) = and(or(d1,f2),n0) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(d1,f2),and(n0,or(c1,and(b1,c2)))),and(or(d1,f2),and(n0,or(c1,and(b1,c2))))) ),[1,1],$fot(n0)]]) ).
cnf(refute_0_3415,plain,
( and(n0,or(c1,and(b1,c2))) != n0
| and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) = and(or(d1,f2),n0) ),
inference(resolve,[$cnf( $equal(and(or(d1,f2),and(n0,or(c1,and(b1,c2)))),and(or(d1,f2),and(n0,or(c1,and(b1,c2))))) )],[refute_0_3413,refute_0_3414]) ).
cnf(refute_0_3416,plain,
and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) = and(or(d1,f2),n0),
inference(resolve,[$cnf( $equal(and(n0,or(c1,and(b1,c2))),n0) )],[refute_0_3412,refute_0_3415]) ).
cnf(refute_0_3417,plain,
( and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) != and(or(d1,f2),n0)
| and(or(d1,f2),n0) != n0
| and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(or(d1,f2),and(n0,or(c1,and(b1,c2)))))),bind(Y0,$fot(and(or(d1,f2),n0))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_3418,plain,
( and(or(d1,f2),n0) != n0
| and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) = n0 ),
inference(resolve,[$cnf( $equal(and(or(d1,f2),and(n0,or(c1,and(b1,c2)))),and(or(d1,f2),n0)) )],[refute_0_3416,refute_0_3417]) ).
cnf(refute_0_3419,plain,
and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) = n0,
inference(resolve,[$cnf( $equal(and(or(d1,f2),n0),n0) )],[refute_0_3411,refute_0_3418]) ).
cnf(refute_0_3420,plain,
and(or(d1,f2),and(or(c1,and(b1,c2)),n0)) = and(or(d1,f2),and(n0,or(c1,and(b1,c2)))),
inference(subst,[],[refute_0_944:[bind(X,$fot(or(d1,f2))),bind(Y,$fot(n0)),bind(Z,$fot(or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3421,plain,
and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = and(or(d1,f2),and(or(c1,and(b1,c2)),n0)),
inference(subst,[],[refute_0_202:[bind(X,$fot(or(d1,f2))),bind(Y,$fot(or(c1,and(b1,c2)))),bind(Z,$fot(n0))]]) ).
cnf(refute_0_3422,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),n0) != and(or(d1,f2),and(or(c1,and(b1,c2)),n0))
| and(or(d1,f2),and(or(c1,and(b1,c2)),n0)) != and(or(d1,f2),and(n0,or(c1,and(b1,c2))))
| and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(or(d1,f2),or(c1,and(b1,c2))),n0))),bind(Y0,$fot(and(or(d1,f2),and(or(c1,and(b1,c2)),n0)))),bind(Z0,$fot(and(or(d1,f2),and(n0,or(c1,and(b1,c2))))))]]) ).
cnf(refute_0_3423,plain,
( and(or(d1,f2),and(or(c1,and(b1,c2)),n0)) != and(or(d1,f2),and(n0,or(c1,and(b1,c2))))
| and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) ),
inference(resolve,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),n0),and(or(d1,f2),and(or(c1,and(b1,c2)),n0))) )],[refute_0_3421,refute_0_3422]) ).
cnf(refute_0_3424,plain,
and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = and(or(d1,f2),and(n0,or(c1,and(b1,c2)))),
inference(resolve,[$cnf( $equal(and(or(d1,f2),and(or(c1,and(b1,c2)),n0)),and(or(d1,f2),and(n0,or(c1,and(b1,c2))))) )],[refute_0_3420,refute_0_3423]) ).
cnf(refute_0_3425,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),n0) != and(or(d1,f2),and(n0,or(c1,and(b1,c2))))
| and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) != n0
| and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(or(d1,f2),or(c1,and(b1,c2))),n0))),bind(Y0,$fot(and(or(d1,f2),and(n0,or(c1,and(b1,c2)))))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_3426,plain,
( and(or(d1,f2),and(n0,or(c1,and(b1,c2)))) != n0
| and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = n0 ),
inference(resolve,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),n0),and(or(d1,f2),and(n0,or(c1,and(b1,c2))))) )],[refute_0_3424,refute_0_3425]) ).
cnf(refute_0_3427,plain,
and(and(or(d1,f2),or(c1,and(b1,c2))),n0) = n0,
inference(resolve,[$cnf( $equal(and(or(d1,f2),and(n0,or(c1,and(b1,c2)))),n0) )],[refute_0_3419,refute_0_3426]) ).
cnf(refute_0_3428,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),n0) != and(and(or(d1,f2),or(c1,and(b1,c2))),f1)
| and(and(or(d1,f2),or(c1,and(b1,c2))),n0) != n0
| n0 = and(and(or(d1,f2),or(c1,and(b1,c2))),f1) ),
introduced(tautology,[equality,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),n0),and(and(or(d1,f2),or(c1,and(b1,c2))),f1)) ),[0],$fot(n0)]]) ).
cnf(refute_0_3429,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),n0) != and(and(or(d1,f2),or(c1,and(b1,c2))),f1)
| n0 = and(and(or(d1,f2),or(c1,and(b1,c2))),f1) ),
inference(resolve,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),n0),n0) )],[refute_0_3427,refute_0_3428]) ).
cnf(refute_0_3430,plain,
and(or(d1,f2),and(or(c1,and(b1,c2)),f1)) = and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),
inference(subst,[],[refute_0_944:[bind(X,$fot(or(d1,f2))),bind(Y,$fot(f1)),bind(Z,$fot(or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3431,plain,
and(and(or(d1,f2),or(c1,and(b1,c2))),f1) = and(or(d1,f2),and(or(c1,and(b1,c2)),f1)),
inference(subst,[],[refute_0_202:[bind(X,$fot(or(d1,f2))),bind(Y,$fot(or(c1,and(b1,c2)))),bind(Z,$fot(f1))]]) ).
cnf(refute_0_3432,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),f1) != and(or(d1,f2),and(or(c1,and(b1,c2)),f1))
| and(or(d1,f2),and(or(c1,and(b1,c2)),f1)) != and(or(d1,f2),and(f1,or(c1,and(b1,c2))))
| and(and(or(d1,f2),or(c1,and(b1,c2))),f1) = and(or(d1,f2),and(f1,or(c1,and(b1,c2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(or(d1,f2),or(c1,and(b1,c2))),f1))),bind(Y0,$fot(and(or(d1,f2),and(or(c1,and(b1,c2)),f1)))),bind(Z0,$fot(and(or(d1,f2),and(f1,or(c1,and(b1,c2))))))]]) ).
cnf(refute_0_3433,plain,
( and(or(d1,f2),and(or(c1,and(b1,c2)),f1)) != and(or(d1,f2),and(f1,or(c1,and(b1,c2))))
| and(and(or(d1,f2),or(c1,and(b1,c2))),f1) = and(or(d1,f2),and(f1,or(c1,and(b1,c2)))) ),
inference(resolve,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),f1),and(or(d1,f2),and(or(c1,and(b1,c2)),f1))) )],[refute_0_3431,refute_0_3432]) ).
cnf(refute_0_3434,plain,
and(and(or(d1,f2),or(c1,and(b1,c2))),f1) = and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),
inference(resolve,[$cnf( $equal(and(or(d1,f2),and(or(c1,and(b1,c2)),f1)),and(or(d1,f2),and(f1,or(c1,and(b1,c2))))) )],[refute_0_3430,refute_0_3433]) ).
cnf(refute_0_3435,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),f1) != and(or(d1,f2),and(f1,or(c1,and(b1,c2))))
| n0 != and(and(or(d1,f2),or(c1,and(b1,c2))),f1)
| n0 = and(or(d1,f2),and(f1,or(c1,and(b1,c2)))) ),
introduced(tautology,[equality,[$cnf( $equal(n0,and(and(or(d1,f2),or(c1,and(b1,c2))),f1)) ),[1],$fot(and(or(d1,f2),and(f1,or(c1,and(b1,c2)))))]]) ).
cnf(refute_0_3436,plain,
( n0 != and(and(or(d1,f2),or(c1,and(b1,c2))),f1)
| n0 = and(or(d1,f2),and(f1,or(c1,and(b1,c2)))) ),
inference(resolve,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),f1),and(or(d1,f2),and(f1,or(c1,and(b1,c2))))) )],[refute_0_3434,refute_0_3435]) ).
cnf(refute_0_3437,plain,
( and(and(or(d1,f2),or(c1,and(b1,c2))),n0) != and(and(or(d1,f2),or(c1,and(b1,c2))),f1)
| n0 = and(or(d1,f2),and(f1,or(c1,and(b1,c2)))) ),
inference(resolve,[$cnf( $equal(n0,and(and(or(d1,f2),or(c1,and(b1,c2))),f1)) )],[refute_0_3429,refute_0_3436]) ).
cnf(refute_0_3438,plain,
n0 = and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),
inference(resolve,[$cnf( $equal(and(and(or(d1,f2),or(c1,and(b1,c2))),n0),and(and(or(d1,f2),or(c1,and(b1,c2))),f1)) )],[refute_0_3406,refute_0_3437]) ).
cnf(refute_0_3439,plain,
( n0 != and(or(d1,f2),and(f1,or(c1,and(b1,c2))))
| and(or(d1,f2),and(f1,or(c1,and(b1,c2)))) = n0 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n0)),bind(Y0,$fot(and(or(d1,f2),and(f1,or(c1,and(b1,c2))))))]]) ).
cnf(refute_0_3440,plain,
and(or(d1,f2),and(f1,or(c1,and(b1,c2)))) = n0,
inference(resolve,[$cnf( $equal(n0,and(or(d1,f2),and(f1,or(c1,and(b1,c2))))) )],[refute_0_3438,refute_0_3439]) ).
cnf(refute_0_3441,plain,
( and(or(d1,f2),and(f1,or(c1,and(b1,c2)))) != n0
| or(and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) != and(f1,or(c1,and(b1,c2)))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,or(c1,and(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))),and(f1,or(c1,and(b1,c2)))) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_3442,plain,
( or(and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) != and(f1,or(c1,and(b1,c2)))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,or(c1,and(b1,c2))) ),
inference(resolve,[$cnf( $equal(and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),n0) )],[refute_0_3440,refute_0_3441]) ).
cnf(refute_0_3443,plain,
or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,or(c1,and(b1,c2))),
inference(resolve,[$cnf( $equal(or(and(or(d1,f2),and(f1,or(c1,and(b1,c2)))),and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))),and(f1,or(c1,and(b1,c2)))) )],[refute_0_3386,refute_0_3442]) ).
cnf(refute_0_3444,plain,
and(and(b1,c2),or(c1,and(b1,c2))) = and(b1,and(c2,or(c1,and(b1,c2)))),
inference(subst,[],[refute_0_202:[bind(X,$fot(b1)),bind(Y,$fot(c2)),bind(Z,$fot(or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3445,plain,
and(not(or(d1,f2)),or(c1,and(b1,c2))) = and(not(or(d1,f2)),or(c1,and(b1,c2))),
introduced(tautology,[refl,[$fot(and(not(or(d1,f2)),or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3446,plain,
( and(not(or(d1,f2)),or(c1,and(b1,c2))) != and(not(or(d1,f2)),or(c1,and(b1,c2)))
| not(or(d1,f2)) != and(b1,c2)
| and(not(or(d1,f2)),or(c1,and(b1,c2))) = and(and(b1,c2),or(c1,and(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(or(d1,f2)),or(c1,and(b1,c2))),and(not(or(d1,f2)),or(c1,and(b1,c2)))) ),[1,0],$fot(and(b1,c2))]]) ).
cnf(refute_0_3447,plain,
( not(or(d1,f2)) != and(b1,c2)
| and(not(or(d1,f2)),or(c1,and(b1,c2))) = and(and(b1,c2),or(c1,and(b1,c2))) ),
inference(resolve,[$cnf( $equal(and(not(or(d1,f2)),or(c1,and(b1,c2))),and(not(or(d1,f2)),or(c1,and(b1,c2)))) )],[refute_0_3445,refute_0_3446]) ).
cnf(refute_0_3448,plain,
and(not(or(d1,f2)),or(c1,and(b1,c2))) = and(and(b1,c2),or(c1,and(b1,c2))),
inference(resolve,[$cnf( $equal(not(or(d1,f2)),and(b1,c2)) )],[refute_0_1652,refute_0_3447]) ).
cnf(refute_0_3449,plain,
( and(and(b1,c2),or(c1,and(b1,c2))) != and(b1,and(c2,or(c1,and(b1,c2))))
| and(not(or(d1,f2)),or(c1,and(b1,c2))) != and(and(b1,c2),or(c1,and(b1,c2)))
| and(not(or(d1,f2)),or(c1,and(b1,c2))) = and(b1,and(c2,or(c1,and(b1,c2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(not(or(d1,f2)),or(c1,and(b1,c2))))),bind(Y0,$fot(and(and(b1,c2),or(c1,and(b1,c2))))),bind(Z0,$fot(and(b1,and(c2,or(c1,and(b1,c2))))))]]) ).
cnf(refute_0_3450,plain,
( and(and(b1,c2),or(c1,and(b1,c2))) != and(b1,and(c2,or(c1,and(b1,c2))))
| and(not(or(d1,f2)),or(c1,and(b1,c2))) = and(b1,and(c2,or(c1,and(b1,c2)))) ),
inference(resolve,[$cnf( $equal(and(not(or(d1,f2)),or(c1,and(b1,c2))),and(and(b1,c2),or(c1,and(b1,c2)))) )],[refute_0_3448,refute_0_3449]) ).
cnf(refute_0_3451,plain,
and(not(or(d1,f2)),or(c1,and(b1,c2))) = and(b1,and(c2,or(c1,and(b1,c2)))),
inference(resolve,[$cnf( $equal(and(and(b1,c2),or(c1,and(b1,c2))),and(b1,and(c2,or(c1,and(b1,c2))))) )],[refute_0_3444,refute_0_3450]) ).
cnf(refute_0_3452,plain,
and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) = and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))),
introduced(tautology,[refl,[$fot(and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))))]]) ).
cnf(refute_0_3453,plain,
( and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) != and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))
| and(not(or(d1,f2)),or(c1,and(b1,c2))) != and(b1,and(c2,or(c1,and(b1,c2))))
| and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) = and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))),and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))) ),[1,1],$fot(and(b1,and(c2,or(c1,and(b1,c2)))))]]) ).
cnf(refute_0_3454,plain,
( and(not(or(d1,f2)),or(c1,and(b1,c2))) != and(b1,and(c2,or(c1,and(b1,c2))))
| and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) = and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) ),
inference(resolve,[$cnf( $equal(and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))),and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))) )],[refute_0_3452,refute_0_3453]) ).
cnf(refute_0_3455,plain,
and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) = and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),
inference(resolve,[$cnf( $equal(and(not(or(d1,f2)),or(c1,and(b1,c2))),and(b1,and(c2,or(c1,and(b1,c2))))) )],[refute_0_3451,refute_0_3454]) ).
cnf(refute_0_3456,plain,
and(f1,and(or(c1,and(b1,c2)),not(or(d1,f2)))) = and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))),
inference(subst,[],[refute_0_944:[bind(X,$fot(f1)),bind(Y,$fot(not(or(d1,f2)))),bind(Z,$fot(or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3457,plain,
and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))) = and(f1,and(or(c1,and(b1,c2)),not(or(d1,f2)))),
inference(subst,[],[refute_0_202:[bind(X,$fot(f1)),bind(Y,$fot(or(c1,and(b1,c2)))),bind(Z,$fot(not(or(d1,f2))))]]) ).
cnf(refute_0_3458,plain,
( and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))) != and(f1,and(or(c1,and(b1,c2)),not(or(d1,f2))))
| and(f1,and(or(c1,and(b1,c2)),not(or(d1,f2)))) != and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))
| and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))) = and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))))),bind(Y0,$fot(and(f1,and(or(c1,and(b1,c2)),not(or(d1,f2)))))),bind(Z0,$fot(and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))))]]) ).
cnf(refute_0_3459,plain,
( and(f1,and(or(c1,and(b1,c2)),not(or(d1,f2)))) != and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))
| and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))) = and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) ),
inference(resolve,[$cnf( $equal(and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))),and(f1,and(or(c1,and(b1,c2)),not(or(d1,f2))))) )],[refute_0_3457,refute_0_3458]) ).
cnf(refute_0_3460,plain,
and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))) = and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))),
inference(resolve,[$cnf( $equal(and(f1,and(or(c1,and(b1,c2)),not(or(d1,f2)))),and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))) )],[refute_0_3456,refute_0_3459]) ).
cnf(refute_0_3461,plain,
or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))))]]) ).
cnf(refute_0_3462,plain,
( and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))) != and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) != and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))))),bind(Y0,$fot(and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))))),bind(Z0,$fot(and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))))]]) ).
cnf(refute_0_3463,plain,
( and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))) != and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))),and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) )],[refute_0_3461,refute_0_3462]) ).
cnf(refute_0_3464,plain,
or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))),
inference(resolve,[$cnf( $equal(and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2))),and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))) )],[refute_0_3460,refute_0_3463]) ).
cnf(refute_0_3465,plain,
( and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) != and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) != and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))))),bind(Y0,$fot(and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))))),bind(Z0,$fot(and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))))]]) ).
cnf(refute_0_3466,plain,
( and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))) != and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))),and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2))))) )],[refute_0_3464,refute_0_3465]) ).
cnf(refute_0_3467,plain,
or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) = and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),
inference(resolve,[$cnf( $equal(and(f1,and(not(or(d1,f2)),or(c1,and(b1,c2)))),and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))) )],[refute_0_3455,refute_0_3466]) ).
cnf(refute_0_3468,plain,
( or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) != and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))
| or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) != and(f1,or(c1,and(b1,c2)))
| and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(f1,or(c1,and(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))),and(f1,or(c1,and(b1,c2)))) ),[0],$fot(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))))]]) ).
cnf(refute_0_3469,plain,
( or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))) != and(f1,or(c1,and(b1,c2)))
| and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(f1,or(c1,and(b1,c2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))),and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))) )],[refute_0_3467,refute_0_3468]) ).
cnf(refute_0_3470,plain,
and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(f1,or(c1,and(b1,c2))),
inference(resolve,[$cnf( $equal(or(n0,and(and(f1,or(c1,and(b1,c2))),not(or(d1,f2)))),and(f1,or(c1,and(b1,c2)))) )],[refute_0_3443,refute_0_3469]) ).
cnf(refute_0_3471,plain,
not(not(and(b3,c2))) = and(b3,c2),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b3,c2)))]]) ).
cnf(refute_0_3472,plain,
not(and(or(c1,i2),i2)) = or(f2,not(or(c1,i2))),
inference(subst,[],[refute_0_431:[bind(X_109,$fot(or(c1,i2)))]]) ).
cnf(refute_0_3473,plain,
( not(and(or(c1,i2),i2)) != or(f2,not(or(c1,i2)))
| not(or(c1,i2)) != and(f1,f2)
| not(and(or(c1,i2),i2)) = or(f2,and(f1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(c1,i2),i2)),or(f2,not(or(c1,i2)))) ),[1,1],$fot(and(f1,f2))]]) ).
cnf(refute_0_3474,plain,
( not(and(or(c1,i2),i2)) != or(f2,not(or(c1,i2)))
| not(and(or(c1,i2),i2)) = or(f2,and(f1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(c1,i2)),and(f1,f2)) )],[refute_0_577,refute_0_3473]) ).
cnf(refute_0_3475,plain,
not(and(or(c1,i2),i2)) = or(f2,and(f1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(c1,i2),i2)),or(f2,not(or(c1,i2)))) )],[refute_0_3472,refute_0_3474]) ).
cnf(refute_0_3476,plain,
not(and(or(c1,i2),i2)) = not(and(i2,or(c1,i2))),
inference(subst,[],[refute_0_740:[bind(X_115,$fot(or(c1,i2)))]]) ).
cnf(refute_0_3477,plain,
( not(and(or(c1,i2),i2)) != not(and(i2,or(c1,i2)))
| not(and(or(c1,i2),i2)) != or(f2,and(f1,f2))
| not(and(i2,or(c1,i2))) = or(f2,and(f1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(c1,i2),i2)),or(f2,and(f1,f2))) ),[0],$fot(not(and(i2,or(c1,i2))))]]) ).
cnf(refute_0_3478,plain,
( not(and(or(c1,i2),i2)) != or(f2,and(f1,f2))
| not(and(i2,or(c1,i2))) = or(f2,and(f1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(c1,i2),i2)),not(and(i2,or(c1,i2)))) )],[refute_0_3476,refute_0_3477]) ).
cnf(refute_0_3479,plain,
or(and(f1,X_23),or(and(X_23,i1),and(f1,X_23))) = or(and(f1,X_23),and(X_23,i1)),
inference(subst,[],[refute_0_345:[bind(X,$fot(and(f1,X_23))),bind(Y,$fot(and(X_23,i1)))]]) ).
cnf(refute_0_3480,plain,
or(and(X_23,i1),and(f1,X_23)) = or(and(f1,X_23),and(X_23,i1)),
inference(subst,[],[or_commutativity:[bind(X,$fot(and(X_23,i1))),bind(Y,$fot(and(f1,X_23)))]]) ).
cnf(refute_0_3481,plain,
( or(and(X_23,i1),and(f1,X_23)) != or(and(f1,X_23),and(X_23,i1))
| or(and(f1,X_23),and(X_23,i1)) != X_23
| or(and(X_23,i1),and(f1,X_23)) = X_23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X_23,i1),and(f1,X_23)),X_23) ),[0],$fot(or(and(f1,X_23),and(X_23,i1)))]]) ).
cnf(refute_0_3482,plain,
( or(and(X_23,i1),and(f1,X_23)) != or(and(f1,X_23),and(X_23,i1))
| or(and(X_23,i1),and(f1,X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(or(and(f1,X_23),and(X_23,i1)),X_23) )],[refute_0_14,refute_0_3481]) ).
cnf(refute_0_3483,plain,
or(and(X_23,i1),and(f1,X_23)) = X_23,
inference(resolve,[$cnf( $equal(or(and(X_23,i1),and(f1,X_23)),or(and(f1,X_23),and(X_23,i1))) )],[refute_0_3480,refute_0_3482]) ).
cnf(refute_0_3484,plain,
( or(and(X_23,i1),and(f1,X_23)) != X_23
| or(and(f1,X_23),or(and(X_23,i1),and(f1,X_23))) != or(and(f1,X_23),and(X_23,i1))
| or(and(f1,X_23),X_23) = or(and(f1,X_23),and(X_23,i1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f1,X_23),or(and(X_23,i1),and(f1,X_23))),or(and(f1,X_23),and(X_23,i1))) ),[0,1],$fot(X_23)]]) ).
cnf(refute_0_3485,plain,
( or(and(f1,X_23),or(and(X_23,i1),and(f1,X_23))) != or(and(f1,X_23),and(X_23,i1))
| or(and(f1,X_23),X_23) = or(and(f1,X_23),and(X_23,i1)) ),
inference(resolve,[$cnf( $equal(or(and(X_23,i1),and(f1,X_23)),X_23) )],[refute_0_3483,refute_0_3484]) ).
cnf(refute_0_3486,plain,
or(and(f1,X_23),X_23) = or(and(f1,X_23),and(X_23,i1)),
inference(resolve,[$cnf( $equal(or(and(f1,X_23),or(and(X_23,i1),and(f1,X_23))),or(and(f1,X_23),and(X_23,i1))) )],[refute_0_3479,refute_0_3485]) ).
cnf(refute_0_3487,plain,
or(and(f1,X_23),X_23) = or(X_23,and(f1,X_23)),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_23)),bind(Y,$fot(and(f1,X_23)))]]) ).
cnf(refute_0_3488,plain,
( or(and(f1,X_23),X_23) != or(X_23,and(f1,X_23))
| or(and(f1,X_23),X_23) != or(and(f1,X_23),and(X_23,i1))
| or(X_23,and(f1,X_23)) = or(and(f1,X_23),and(X_23,i1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(f1,X_23),X_23),or(and(f1,X_23),and(X_23,i1))) ),[0],$fot(or(X_23,and(f1,X_23)))]]) ).
cnf(refute_0_3489,plain,
( or(and(f1,X_23),X_23) != or(and(f1,X_23),and(X_23,i1))
| or(X_23,and(f1,X_23)) = or(and(f1,X_23),and(X_23,i1)) ),
inference(resolve,[$cnf( $equal(or(and(f1,X_23),X_23),or(X_23,and(f1,X_23))) )],[refute_0_3487,refute_0_3488]) ).
cnf(refute_0_3490,plain,
( or(X_23,and(f1,X_23)) != or(and(f1,X_23),and(X_23,i1))
| or(and(f1,X_23),and(X_23,i1)) != X_23
| or(X_23,and(f1,X_23)) = X_23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(X_23,and(f1,X_23)),X_23) ),[0],$fot(or(and(f1,X_23),and(X_23,i1)))]]) ).
cnf(refute_0_3491,plain,
( or(X_23,and(f1,X_23)) != or(and(f1,X_23),and(X_23,i1))
| or(X_23,and(f1,X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(or(and(f1,X_23),and(X_23,i1)),X_23) )],[refute_0_14,refute_0_3490]) ).
cnf(refute_0_3492,plain,
( or(and(f1,X_23),X_23) != or(and(f1,X_23),and(X_23,i1))
| or(X_23,and(f1,X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(or(X_23,and(f1,X_23)),or(and(f1,X_23),and(X_23,i1))) )],[refute_0_3489,refute_0_3491]) ).
cnf(refute_0_3493,plain,
or(X_23,and(f1,X_23)) = X_23,
inference(resolve,[$cnf( $equal(or(and(f1,X_23),X_23),or(and(f1,X_23),and(X_23,i1))) )],[refute_0_3486,refute_0_3492]) ).
cnf(refute_0_3494,plain,
or(f2,and(f1,f2)) = f2,
inference(subst,[],[refute_0_3493:[bind(X_23,$fot(f2))]]) ).
cnf(refute_0_3495,plain,
( not(and(i2,or(c1,i2))) != or(f2,and(f1,f2))
| or(f2,and(f1,f2)) != f2
| not(and(i2,or(c1,i2))) = f2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(i2,or(c1,i2))),f2) ),[0],$fot(or(f2,and(f1,f2)))]]) ).
cnf(refute_0_3496,plain,
( not(and(i2,or(c1,i2))) != or(f2,and(f1,f2))
| not(and(i2,or(c1,i2))) = f2 ),
inference(resolve,[$cnf( $equal(or(f2,and(f1,f2)),f2) )],[refute_0_3494,refute_0_3495]) ).
cnf(refute_0_3497,plain,
( not(and(or(c1,i2),i2)) != or(f2,and(f1,f2))
| not(and(i2,or(c1,i2))) = f2 ),
inference(resolve,[$cnf( $equal(not(and(i2,or(c1,i2))),or(f2,and(f1,f2))) )],[refute_0_3478,refute_0_3496]) ).
cnf(refute_0_3498,plain,
not(and(i2,or(c1,i2))) = f2,
inference(resolve,[$cnf( $equal(not(and(or(c1,i2),i2)),or(f2,and(f1,f2))) )],[refute_0_3475,refute_0_3497]) ).
cnf(refute_0_3499,plain,
and(c2,b3) = and(b3,c2),
inference(subst,[],[refute_0_129:[bind(X,$fot(b3)),bind(Y,$fot(c2))]]) ).
cnf(refute_0_3500,plain,
and(c2,or(c1,i2)) = and(c2,or(c1,i2)),
introduced(tautology,[refl,[$fot(and(c2,or(c1,i2)))]]) ).
cnf(refute_0_3501,plain,
( and(c2,or(c1,i2)) != and(c2,or(c1,i2))
| or(c1,i2) != b3
| and(c2,or(c1,i2)) = and(c2,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,or(c1,i2)),and(c2,or(c1,i2))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_3502,plain,
( or(c1,i2) != b3
| and(c2,or(c1,i2)) = and(c2,b3) ),
inference(resolve,[$cnf( $equal(and(c2,or(c1,i2)),and(c2,or(c1,i2))) )],[refute_0_3500,refute_0_3501]) ).
cnf(refute_0_3503,plain,
and(c2,or(c1,i2)) = and(c2,b3),
inference(resolve,[$cnf( $equal(or(c1,i2),b3) )],[refute_0_586,refute_0_3502]) ).
cnf(refute_0_3504,plain,
and(i2,or(c1,i2)) = and(i2,or(c1,i2)),
introduced(tautology,[refl,[$fot(and(i2,or(c1,i2)))]]) ).
cnf(refute_0_3505,plain,
( and(i2,or(c1,i2)) != and(i2,or(c1,i2))
| i2 != c2
| and(i2,or(c1,i2)) = and(c2,or(c1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(i2,or(c1,i2)),and(i2,or(c1,i2))) ),[1,0],$fot(c2)]]) ).
cnf(refute_0_3506,plain,
( i2 != c2
| and(i2,or(c1,i2)) = and(c2,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(and(i2,or(c1,i2)),and(i2,or(c1,i2))) )],[refute_0_3504,refute_0_3505]) ).
cnf(refute_0_3507,plain,
and(i2,or(c1,i2)) = and(c2,or(c1,i2)),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_3506]) ).
cnf(refute_0_3508,plain,
( and(c2,or(c1,i2)) != and(c2,b3)
| and(i2,or(c1,i2)) != and(c2,or(c1,i2))
| and(i2,or(c1,i2)) = and(c2,b3) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i2,or(c1,i2)))),bind(Y0,$fot(and(c2,or(c1,i2)))),bind(Z0,$fot(and(c2,b3)))]]) ).
cnf(refute_0_3509,plain,
( and(c2,or(c1,i2)) != and(c2,b3)
| and(i2,or(c1,i2)) = and(c2,b3) ),
inference(resolve,[$cnf( $equal(and(i2,or(c1,i2)),and(c2,or(c1,i2))) )],[refute_0_3507,refute_0_3508]) ).
cnf(refute_0_3510,plain,
and(i2,or(c1,i2)) = and(c2,b3),
inference(resolve,[$cnf( $equal(and(c2,or(c1,i2)),and(c2,b3)) )],[refute_0_3503,refute_0_3509]) ).
cnf(refute_0_3511,plain,
( and(c2,b3) != and(b3,c2)
| and(i2,or(c1,i2)) != and(c2,b3)
| and(i2,or(c1,i2)) = and(b3,c2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(i2,or(c1,i2)))),bind(Y0,$fot(and(c2,b3))),bind(Z0,$fot(and(b3,c2)))]]) ).
cnf(refute_0_3512,plain,
( and(c2,b3) != and(b3,c2)
| and(i2,or(c1,i2)) = and(b3,c2) ),
inference(resolve,[$cnf( $equal(and(i2,or(c1,i2)),and(c2,b3)) )],[refute_0_3510,refute_0_3511]) ).
cnf(refute_0_3513,plain,
and(i2,or(c1,i2)) = and(b3,c2),
inference(resolve,[$cnf( $equal(and(c2,b3),and(b3,c2)) )],[refute_0_3499,refute_0_3512]) ).
cnf(refute_0_3514,plain,
not(and(i2,or(c1,i2))) = not(and(i2,or(c1,i2))),
introduced(tautology,[refl,[$fot(not(and(i2,or(c1,i2))))]]) ).
cnf(refute_0_3515,plain,
( and(i2,or(c1,i2)) != and(b3,c2)
| not(and(i2,or(c1,i2))) != not(and(i2,or(c1,i2)))
| not(and(i2,or(c1,i2))) = not(and(b3,c2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i2,or(c1,i2))),not(and(i2,or(c1,i2)))) ),[1,0],$fot(and(b3,c2))]]) ).
cnf(refute_0_3516,plain,
( and(i2,or(c1,i2)) != and(b3,c2)
| not(and(i2,or(c1,i2))) = not(and(b3,c2)) ),
inference(resolve,[$cnf( $equal(not(and(i2,or(c1,i2))),not(and(i2,or(c1,i2)))) )],[refute_0_3514,refute_0_3515]) ).
cnf(refute_0_3517,plain,
not(and(i2,or(c1,i2))) = not(and(b3,c2)),
inference(resolve,[$cnf( $equal(and(i2,or(c1,i2)),and(b3,c2)) )],[refute_0_3513,refute_0_3516]) ).
cnf(refute_0_3518,plain,
( not(and(i2,or(c1,i2))) != f2
| not(and(i2,or(c1,i2))) != not(and(b3,c2))
| not(and(b3,c2)) = f2 ),
introduced(tautology,[equality,[$cnf( $equal(not(and(i2,or(c1,i2))),f2) ),[0],$fot(not(and(b3,c2)))]]) ).
cnf(refute_0_3519,plain,
( not(and(i2,or(c1,i2))) != f2
| not(and(b3,c2)) = f2 ),
inference(resolve,[$cnf( $equal(not(and(i2,or(c1,i2))),not(and(b3,c2))) )],[refute_0_3517,refute_0_3518]) ).
cnf(refute_0_3520,plain,
not(and(b3,c2)) = f2,
inference(resolve,[$cnf( $equal(not(and(i2,or(c1,i2))),f2) )],[refute_0_3498,refute_0_3519]) ).
cnf(refute_0_3521,plain,
( not(and(b3,c2)) != f2
| not(not(and(b3,c2))) != and(b3,c2)
| not(f2) = and(b3,c2) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b3,c2))),and(b3,c2)) ),[0,0],$fot(f2)]]) ).
cnf(refute_0_3522,plain,
( not(not(and(b3,c2))) != and(b3,c2)
| not(f2) = and(b3,c2) ),
inference(resolve,[$cnf( $equal(not(and(b3,c2)),f2) )],[refute_0_3520,refute_0_3521]) ).
cnf(refute_0_3523,plain,
not(f2) = and(b3,c2),
inference(resolve,[$cnf( $equal(not(not(and(b3,c2))),and(b3,c2)) )],[refute_0_3471,refute_0_3522]) ).
cnf(refute_0_3524,plain,
( not(f2) != and(b3,c2)
| not(f2) != c2
| c2 = and(b3,c2) ),
introduced(tautology,[equality,[$cnf( $equal(not(f2),and(b3,c2)) ),[0],$fot(c2)]]) ).
cnf(refute_0_3525,plain,
( not(f2) != and(b3,c2)
| c2 = and(b3,c2) ),
inference(resolve,[$cnf( $equal(not(f2),c2) )],[refute_0_688,refute_0_3524]) ).
cnf(refute_0_3526,plain,
c2 = and(b3,c2),
inference(resolve,[$cnf( $equal(not(f2),and(b3,c2)) )],[refute_0_3523,refute_0_3525]) ).
cnf(refute_0_3527,plain,
( c2 != and(b3,c2)
| and(b3,c2) = c2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(c2)),bind(Y0,$fot(and(b3,c2)))]]) ).
cnf(refute_0_3528,plain,
and(b3,c2) = c2,
inference(resolve,[$cnf( $equal(c2,and(b3,c2)) )],[refute_0_3526,refute_0_3527]) ).
cnf(refute_0_3529,plain,
( and(b3,c2) != c2
| and(c2,b3) != and(b3,c2)
| and(c2,b3) = c2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c2,b3))),bind(Y0,$fot(and(b3,c2))),bind(Z0,$fot(c2))]]) ).
cnf(refute_0_3530,plain,
( and(b3,c2) != c2
| and(c2,b3) = c2 ),
inference(resolve,[$cnf( $equal(and(c2,b3),and(b3,c2)) )],[refute_0_3499,refute_0_3529]) ).
cnf(refute_0_3531,plain,
and(c2,b3) = c2,
inference(resolve,[$cnf( $equal(and(b3,c2),c2) )],[refute_0_3528,refute_0_3530]) ).
cnf(refute_0_3532,plain,
or(c1,and(b1,c2)) = or(c1,and(b1,c2)),
introduced(tautology,[refl,[$fot(or(c1,and(b1,c2)))]]) ).
cnf(refute_0_3533,plain,
( and(b1,c2) != c2
| or(c1,and(b1,c2)) != or(c1,and(b1,c2))
| or(c1,and(b1,c2)) = or(c1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(b1,c2)),or(c1,and(b1,c2))) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_3534,plain,
( and(b1,c2) != c2
| or(c1,and(b1,c2)) = or(c1,c2) ),
inference(resolve,[$cnf( $equal(or(c1,and(b1,c2)),or(c1,and(b1,c2))) )],[refute_0_3532,refute_0_3533]) ).
cnf(refute_0_3535,plain,
or(c1,and(b1,c2)) = or(c1,c2),
inference(resolve,[$cnf( $equal(and(b1,c2),c2) )],[refute_0_2227,refute_0_3534]) ).
cnf(refute_0_3536,plain,
( or(c1,and(b1,c2)) != or(c1,c2)
| or(c1,c2) != b3
| or(c1,and(b1,c2)) = b3 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(c1,and(b1,c2)))),bind(Y0,$fot(or(c1,c2))),bind(Z0,$fot(b3))]]) ).
cnf(refute_0_3537,plain,
( or(c1,c2) != b3
| or(c1,and(b1,c2)) = b3 ),
inference(resolve,[$cnf( $equal(or(c1,and(b1,c2)),or(c1,c2)) )],[refute_0_3535,refute_0_3536]) ).
cnf(refute_0_3538,plain,
or(c1,and(b1,c2)) = b3,
inference(resolve,[$cnf( $equal(or(c1,c2),b3) )],[refute_0_579,refute_0_3537]) ).
cnf(refute_0_3539,plain,
and(c2,or(c1,and(b1,c2))) = and(c2,or(c1,and(b1,c2))),
introduced(tautology,[refl,[$fot(and(c2,or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3540,plain,
( and(c2,or(c1,and(b1,c2))) != and(c2,or(c1,and(b1,c2)))
| or(c1,and(b1,c2)) != b3
| and(c2,or(c1,and(b1,c2))) = and(c2,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,or(c1,and(b1,c2))),and(c2,or(c1,and(b1,c2)))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_3541,plain,
( or(c1,and(b1,c2)) != b3
| and(c2,or(c1,and(b1,c2))) = and(c2,b3) ),
inference(resolve,[$cnf( $equal(and(c2,or(c1,and(b1,c2))),and(c2,or(c1,and(b1,c2)))) )],[refute_0_3539,refute_0_3540]) ).
cnf(refute_0_3542,plain,
and(c2,or(c1,and(b1,c2))) = and(c2,b3),
inference(resolve,[$cnf( $equal(or(c1,and(b1,c2)),b3) )],[refute_0_3538,refute_0_3541]) ).
cnf(refute_0_3543,plain,
( and(c2,b3) != c2
| and(c2,or(c1,and(b1,c2))) != and(c2,b3)
| and(c2,or(c1,and(b1,c2))) = c2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c2,or(c1,and(b1,c2))))),bind(Y0,$fot(and(c2,b3))),bind(Z0,$fot(c2))]]) ).
cnf(refute_0_3544,plain,
( and(c2,b3) != c2
| and(c2,or(c1,and(b1,c2))) = c2 ),
inference(resolve,[$cnf( $equal(and(c2,or(c1,and(b1,c2))),and(c2,b3)) )],[refute_0_3542,refute_0_3543]) ).
cnf(refute_0_3545,plain,
and(c2,or(c1,and(b1,c2))) = c2,
inference(resolve,[$cnf( $equal(and(c2,b3),c2) )],[refute_0_3531,refute_0_3544]) ).
cnf(refute_0_3546,plain,
and(b1,and(c2,or(c1,and(b1,c2)))) = and(b1,and(c2,or(c1,and(b1,c2)))),
introduced(tautology,[refl,[$fot(and(b1,and(c2,or(c1,and(b1,c2)))))]]) ).
cnf(refute_0_3547,plain,
( and(b1,and(c2,or(c1,and(b1,c2)))) != and(b1,and(c2,or(c1,and(b1,c2))))
| and(c2,or(c1,and(b1,c2))) != c2
| and(b1,and(c2,or(c1,and(b1,c2)))) = and(b1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(c2,or(c1,and(b1,c2)))),and(b1,and(c2,or(c1,and(b1,c2))))) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_3548,plain,
( and(c2,or(c1,and(b1,c2))) != c2
| and(b1,and(c2,or(c1,and(b1,c2)))) = and(b1,c2) ),
inference(resolve,[$cnf( $equal(and(b1,and(c2,or(c1,and(b1,c2)))),and(b1,and(c2,or(c1,and(b1,c2))))) )],[refute_0_3546,refute_0_3547]) ).
cnf(refute_0_3549,plain,
and(b1,and(c2,or(c1,and(b1,c2)))) = and(b1,c2),
inference(resolve,[$cnf( $equal(and(c2,or(c1,and(b1,c2))),c2) )],[refute_0_3545,refute_0_3548]) ).
cnf(refute_0_3550,plain,
( and(b1,and(c2,or(c1,and(b1,c2)))) != and(b1,c2)
| and(b1,c2) != c2
| and(b1,and(c2,or(c1,and(b1,c2)))) = c2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b1,and(c2,or(c1,and(b1,c2)))))),bind(Y0,$fot(and(b1,c2))),bind(Z0,$fot(c2))]]) ).
cnf(refute_0_3551,plain,
( and(b1,c2) != c2
| and(b1,and(c2,or(c1,and(b1,c2)))) = c2 ),
inference(resolve,[$cnf( $equal(and(b1,and(c2,or(c1,and(b1,c2)))),and(b1,c2)) )],[refute_0_3549,refute_0_3550]) ).
cnf(refute_0_3552,plain,
and(b1,and(c2,or(c1,and(b1,c2)))) = c2,
inference(resolve,[$cnf( $equal(and(b1,c2),c2) )],[refute_0_2227,refute_0_3551]) ).
cnf(refute_0_3553,plain,
and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),
introduced(tautology,[refl,[$fot(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))))]]) ).
cnf(refute_0_3554,plain,
( and(b1,and(c2,or(c1,and(b1,c2)))) != c2
| and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) != and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))
| and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(f1,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_3555,plain,
( and(b1,and(c2,or(c1,and(b1,c2)))) != c2
| and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(f1,c2) ),
inference(resolve,[$cnf( $equal(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),and(f1,and(b1,and(c2,or(c1,and(b1,c2)))))) )],[refute_0_3553,refute_0_3554]) ).
cnf(refute_0_3556,plain,
and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(f1,c2),
inference(resolve,[$cnf( $equal(and(b1,and(c2,or(c1,and(b1,c2)))),c2) )],[refute_0_3552,refute_0_3555]) ).
cnf(refute_0_3557,plain,
( and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) != and(f1,c2)
| and(f1,c2) != and(c2,f1)
| and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(c2,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))))),bind(Y0,$fot(and(f1,c2))),bind(Z0,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3558,plain,
( and(f1,c2) != and(c2,f1)
| and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(c2,f1) ),
inference(resolve,[$cnf( $equal(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),and(f1,c2)) )],[refute_0_3556,refute_0_3557]) ).
cnf(refute_0_3559,plain,
and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) = and(c2,f1),
inference(resolve,[$cnf( $equal(and(f1,c2),and(c2,f1)) )],[refute_0_3227,refute_0_3558]) ).
cnf(refute_0_3560,plain,
( and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) != and(c2,f1)
| and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) != and(f1,or(c1,and(b1,c2)))
| and(c2,f1) = and(f1,or(c1,and(b1,c2))) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),and(f1,or(c1,and(b1,c2)))) ),[0],$fot(and(c2,f1))]]) ).
cnf(refute_0_3561,plain,
( and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) != and(f1,or(c1,and(b1,c2)))
| and(c2,f1) = and(f1,or(c1,and(b1,c2))) ),
inference(resolve,[$cnf( $equal(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),and(c2,f1)) )],[refute_0_3559,refute_0_3560]) ).
cnf(refute_0_3562,plain,
and(f1,or(c1,and(b1,c2))) = and(f1,or(c1,and(b1,c2))),
introduced(tautology,[refl,[$fot(and(f1,or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3563,plain,
( and(f1,or(c1,and(b1,c2))) != and(f1,or(c1,and(b1,c2)))
| or(c1,and(b1,c2)) != b3
| and(f1,or(c1,and(b1,c2))) = and(f1,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,or(c1,and(b1,c2))),and(f1,or(c1,and(b1,c2)))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_3564,plain,
( or(c1,and(b1,c2)) != b3
| and(f1,or(c1,and(b1,c2))) = and(f1,b3) ),
inference(resolve,[$cnf( $equal(and(f1,or(c1,and(b1,c2))),and(f1,or(c1,and(b1,c2)))) )],[refute_0_3562,refute_0_3563]) ).
cnf(refute_0_3565,plain,
and(f1,or(c1,and(b1,c2))) = and(f1,b3),
inference(resolve,[$cnf( $equal(or(c1,and(b1,c2)),b3) )],[refute_0_3538,refute_0_3564]) ).
cnf(refute_0_3566,plain,
( and(f1,b3) != and(b3,f1)
| and(f1,or(c1,and(b1,c2))) != and(f1,b3)
| and(f1,or(c1,and(b1,c2))) = and(b3,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f1,or(c1,and(b1,c2))))),bind(Y0,$fot(and(f1,b3))),bind(Z0,$fot(and(b3,f1)))]]) ).
cnf(refute_0_3567,plain,
( and(f1,b3) != and(b3,f1)
| and(f1,or(c1,and(b1,c2))) = and(b3,f1) ),
inference(resolve,[$cnf( $equal(and(f1,or(c1,and(b1,c2))),and(f1,b3)) )],[refute_0_3565,refute_0_3566]) ).
cnf(refute_0_3568,plain,
and(f1,or(c1,and(b1,c2))) = and(b3,f1),
inference(resolve,[$cnf( $equal(and(f1,b3),and(b3,f1)) )],[refute_0_3199,refute_0_3567]) ).
cnf(refute_0_3569,plain,
( and(c2,f1) != and(f1,or(c1,and(b1,c2)))
| and(f1,or(c1,and(b1,c2))) != and(b3,f1)
| and(c2,f1) = and(b3,f1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(c2,f1),and(b3,f1)) ),[0],$fot(and(f1,or(c1,and(b1,c2))))]]) ).
cnf(refute_0_3570,plain,
( and(c2,f1) != and(f1,or(c1,and(b1,c2)))
| and(c2,f1) = and(b3,f1) ),
inference(resolve,[$cnf( $equal(and(f1,or(c1,and(b1,c2))),and(b3,f1)) )],[refute_0_3568,refute_0_3569]) ).
cnf(refute_0_3571,plain,
( and(f1,and(b1,and(c2,or(c1,and(b1,c2))))) != and(f1,or(c1,and(b1,c2)))
| and(c2,f1) = and(b3,f1) ),
inference(resolve,[$cnf( $equal(and(c2,f1),and(f1,or(c1,and(b1,c2)))) )],[refute_0_3561,refute_0_3570]) ).
cnf(refute_0_3572,plain,
and(c2,f1) = and(b3,f1),
inference(resolve,[$cnf( $equal(and(f1,and(b1,and(c2,or(c1,and(b1,c2))))),and(f1,or(c1,and(b1,c2)))) )],[refute_0_3470,refute_0_3571]) ).
cnf(refute_0_3573,plain,
( and(c2,f1) != and(b1,and(c2,f1))
| and(c2,f1) != and(b3,f1)
| and(b3,f1) = and(b1,and(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,f1),and(b1,and(c2,f1))) ),[0],$fot(and(b3,f1))]]) ).
cnf(refute_0_3574,plain,
( and(c2,f1) != and(b1,and(c2,f1))
| and(b3,f1) = and(b1,and(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(c2,f1),and(b3,f1)) )],[refute_0_3572,refute_0_3573]) ).
cnf(refute_0_3575,plain,
not(not(and(b1,and(f1,or(c2,d1))))) = and(b1,and(f1,or(c2,d1))),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b1,and(f1,or(c2,d1)))))]]) ).
cnf(refute_0_3576,plain,
not(and(and(f1,or(c2,d1)),b1)) = or(d1,not(and(f1,or(c2,d1)))),
inference(subst,[],[refute_0_858:[bind(X_109,$fot(and(f1,or(c2,d1))))]]) ).
cnf(refute_0_3577,plain,
not(and(or(c2,d1),f1)) = or(c1,not(or(c2,d1))),
inference(subst,[],[refute_0_2309:[bind(X_109,$fot(or(c2,d1)))]]) ).
cnf(refute_0_3578,plain,
not(or(d1,i2)) = not(or(d1,i2)),
introduced(tautology,[refl,[$fot(not(or(d1,i2)))]]) ).
cnf(refute_0_3579,plain,
( not(or(d1,i2)) != not(or(d1,i2))
| or(d1,i2) != or(c2,d1)
| not(or(d1,i2)) = not(or(c2,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d1,i2)),not(or(d1,i2))) ),[1,0],$fot(or(c2,d1))]]) ).
cnf(refute_0_3580,plain,
( or(d1,i2) != or(c2,d1)
| not(or(d1,i2)) = not(or(c2,d1)) ),
inference(resolve,[$cnf( $equal(not(or(d1,i2)),not(or(d1,i2))) )],[refute_0_3578,refute_0_3579]) ).
cnf(refute_0_3581,plain,
not(or(d1,i2)) = not(or(c2,d1)),
inference(resolve,[$cnf( $equal(or(d1,i2),or(c2,d1)) )],[refute_0_1274,refute_0_3580]) ).
cnf(refute_0_3582,plain,
( not(or(d1,i2)) != and(b1,f2)
| not(or(d1,i2)) != not(or(c2,d1))
| not(or(c2,d1)) = and(b1,f2) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d1,i2)),and(b1,f2)) ),[0],$fot(not(or(c2,d1)))]]) ).
cnf(refute_0_3583,plain,
( not(or(d1,i2)) != and(b1,f2)
| not(or(c2,d1)) = and(b1,f2) ),
inference(resolve,[$cnf( $equal(not(or(d1,i2)),not(or(c2,d1))) )],[refute_0_3581,refute_0_3582]) ).
cnf(refute_0_3584,plain,
not(or(c2,d1)) = and(b1,f2),
inference(resolve,[$cnf( $equal(not(or(d1,i2)),and(b1,f2)) )],[refute_0_1499,refute_0_3583]) ).
cnf(refute_0_3585,plain,
( not(and(or(c2,d1),f1)) != or(c1,not(or(c2,d1)))
| not(or(c2,d1)) != and(b1,f2)
| not(and(or(c2,d1),f1)) = or(c1,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(c2,d1),f1)),or(c1,not(or(c2,d1)))) ),[1,1],$fot(and(b1,f2))]]) ).
cnf(refute_0_3586,plain,
( not(and(or(c2,d1),f1)) != or(c1,not(or(c2,d1)))
| not(and(or(c2,d1),f1)) = or(c1,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(or(c2,d1)),and(b1,f2)) )],[refute_0_3584,refute_0_3585]) ).
cnf(refute_0_3587,plain,
not(and(or(c2,d1),f1)) = or(c1,and(b1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(c2,d1),f1)),or(c1,not(or(c2,d1)))) )],[refute_0_3577,refute_0_3586]) ).
cnf(refute_0_3588,plain,
not(and(or(c2,d1),f1)) = not(and(f1,or(c2,d1))),
inference(subst,[],[refute_0_2367:[bind(X_116,$fot(or(c2,d1)))]]) ).
cnf(refute_0_3589,plain,
( not(and(or(c2,d1),f1)) != not(and(f1,or(c2,d1)))
| not(and(or(c2,d1),f1)) != or(c1,and(b1,f2))
| not(and(f1,or(c2,d1))) = or(c1,and(b1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(c2,d1),f1)),or(c1,and(b1,f2))) ),[0],$fot(not(and(f1,or(c2,d1))))]]) ).
cnf(refute_0_3590,plain,
( not(and(or(c2,d1),f1)) != or(c1,and(b1,f2))
| not(and(f1,or(c2,d1))) = or(c1,and(b1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(or(c2,d1),f1)),not(and(f1,or(c2,d1)))) )],[refute_0_3588,refute_0_3589]) ).
cnf(refute_0_3591,plain,
not(and(f1,or(c2,d1))) = or(c1,and(b1,f2)),
inference(resolve,[$cnf( $equal(not(and(or(c2,d1),f1)),or(c1,and(b1,f2))) )],[refute_0_3587,refute_0_3590]) ).
cnf(refute_0_3592,plain,
( not(and(and(f1,or(c2,d1)),b1)) != or(d1,not(and(f1,or(c2,d1))))
| not(and(f1,or(c2,d1))) != or(c1,and(b1,f2))
| not(and(and(f1,or(c2,d1)),b1)) = or(d1,or(c1,and(b1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f1,or(c2,d1)),b1)),or(d1,not(and(f1,or(c2,d1))))) ),[1,1],$fot(or(c1,and(b1,f2)))]]) ).
cnf(refute_0_3593,plain,
( not(and(and(f1,or(c2,d1)),b1)) != or(d1,not(and(f1,or(c2,d1))))
| not(and(and(f1,or(c2,d1)),b1)) = or(d1,or(c1,and(b1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(f1,or(c2,d1))),or(c1,and(b1,f2))) )],[refute_0_3591,refute_0_3592]) ).
cnf(refute_0_3594,plain,
not(and(and(f1,or(c2,d1)),b1)) = or(d1,or(c1,and(b1,f2))),
inference(resolve,[$cnf( $equal(not(and(and(f1,or(c2,d1)),b1)),or(d1,not(and(f1,or(c2,d1))))) )],[refute_0_3576,refute_0_3593]) ).
cnf(refute_0_3595,plain,
not(and(and(f1,or(c2,d1)),b1)) = not(and(b1,and(f1,or(c2,d1)))),
inference(subst,[],[refute_0_884:[bind(X_117,$fot(and(f1,or(c2,d1))))]]) ).
cnf(refute_0_3596,plain,
( not(and(and(f1,or(c2,d1)),b1)) != not(and(b1,and(f1,or(c2,d1))))
| not(and(and(f1,or(c2,d1)),b1)) != or(d1,or(c1,and(b1,f2)))
| not(and(b1,and(f1,or(c2,d1)))) = or(d1,or(c1,and(b1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f1,or(c2,d1)),b1)),or(d1,or(c1,and(b1,f2)))) ),[0],$fot(not(and(b1,and(f1,or(c2,d1)))))]]) ).
cnf(refute_0_3597,plain,
( not(and(and(f1,or(c2,d1)),b1)) != or(d1,or(c1,and(b1,f2)))
| not(and(b1,and(f1,or(c2,d1)))) = or(d1,or(c1,and(b1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(and(f1,or(c2,d1)),b1)),not(and(b1,and(f1,or(c2,d1))))) )],[refute_0_3595,refute_0_3596]) ).
cnf(refute_0_3598,plain,
not(and(b1,and(f1,or(c2,d1)))) = or(d1,or(c1,and(b1,f2))),
inference(resolve,[$cnf( $equal(not(and(and(f1,or(c2,d1)),b1)),or(d1,or(c1,and(b1,f2)))) )],[refute_0_3594,refute_0_3597]) ).
cnf(refute_0_3599,plain,
( not(and(b1,and(f1,or(c2,d1)))) != or(d1,or(c1,and(b1,f2)))
| not(not(and(b1,and(f1,or(c2,d1))))) != and(b1,and(f1,or(c2,d1)))
| not(or(d1,or(c1,and(b1,f2)))) = and(b1,and(f1,or(c2,d1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b1,and(f1,or(c2,d1))))),and(b1,and(f1,or(c2,d1)))) ),[0,0],$fot(or(d1,or(c1,and(b1,f2))))]]) ).
cnf(refute_0_3600,plain,
( not(not(and(b1,and(f1,or(c2,d1))))) != and(b1,and(f1,or(c2,d1)))
| not(or(d1,or(c1,and(b1,f2)))) = and(b1,and(f1,or(c2,d1))) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(f1,or(c2,d1)))),or(d1,or(c1,and(b1,f2)))) )],[refute_0_3598,refute_0_3599]) ).
cnf(refute_0_3601,plain,
not(or(d1,or(c1,and(b1,f2)))) = and(b1,and(f1,or(c2,d1))),
inference(resolve,[$cnf( $equal(not(not(and(b1,and(f1,or(c2,d1))))),and(b1,and(f1,or(c2,d1)))) )],[refute_0_3575,refute_0_3600]) ).
cnf(refute_0_3602,plain,
not(not(and(a1,f1))) = and(a1,f1),
inference(subst,[],[not_simplification:[bind(X,$fot(and(a1,f1)))]]) ).
cnf(refute_0_3603,plain,
not(and(and(b1,or(a1,d1)),Y)) = or(not(and(b1,or(a1,d1))),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(and(b1,or(a1,d1))))]]) ).
cnf(refute_0_3604,plain,
or(and(d1,not(a1)),and(not(a1),not(d1))) = not(a1),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(d1)),bind(Y,$fot(not(a1)))]]) ).
cnf(refute_0_3605,plain,
or(and(a1,d1),and(d1,not(a1))) = d1,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(a1)),bind(Y,$fot(d1))]]) ).
cnf(refute_0_3606,plain,
and(d1,and(X_41,not(d1))) = n0,
inference(subst,[],[refute_0_206:[bind(X,$fot(d1)),bind(Y,$fot(X_41))]]) ).
cnf(refute_0_3607,plain,
( and(d1,and(X_41,not(d1))) != n0
| not(d1) != b1
| and(d1,and(X_41,b1)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(X_41,not(d1))),n0) ),[0,1,1],$fot(b1)]]) ).
cnf(refute_0_3608,plain,
( and(d1,and(X_41,not(d1))) != n0
| and(d1,and(X_41,b1)) = n0 ),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_3607]) ).
cnf(refute_0_3609,plain,
and(d1,and(X_41,b1)) = n0,
inference(resolve,[$cnf( $equal(and(d1,and(X_41,not(d1))),n0) )],[refute_0_3606,refute_0_3608]) ).
cnf(refute_0_3610,plain,
and(d1,and(X_47,b1)) = n0,
inference(subst,[],[refute_0_3609:[bind(X_41,$fot(X_47))]]) ).
cnf(refute_0_3611,plain,
and(b1,X_47) = and(X_47,b1),
inference(subst,[],[and_commutativity:[bind(X,$fot(b1)),bind(Y,$fot(X_47))]]) ).
cnf(refute_0_3612,plain,
( and(b1,X_47) != and(X_47,b1)
| and(X_47,b1) = and(b1,X_47) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(b1,X_47))),bind(Y0,$fot(and(X_47,b1)))]]) ).
cnf(refute_0_3613,plain,
and(X_47,b1) = and(b1,X_47),
inference(resolve,[$cnf( $equal(and(b1,X_47),and(X_47,b1)) )],[refute_0_3611,refute_0_3612]) ).
cnf(refute_0_3614,plain,
( and(X_47,b1) != and(b1,X_47)
| and(d1,and(X_47,b1)) != n0
| and(d1,and(b1,X_47)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(X_47,b1)),n0) ),[0,1],$fot(and(b1,X_47))]]) ).
cnf(refute_0_3615,plain,
( and(d1,and(X_47,b1)) != n0
| and(d1,and(b1,X_47)) = n0 ),
inference(resolve,[$cnf( $equal(and(X_47,b1),and(b1,X_47)) )],[refute_0_3613,refute_0_3614]) ).
cnf(refute_0_3616,plain,
and(d1,and(b1,X_47)) = n0,
inference(resolve,[$cnf( $equal(and(d1,and(X_47,b1)),n0) )],[refute_0_3610,refute_0_3615]) ).
cnf(refute_0_3617,plain,
and(d1,and(b1,b3)) = n0,
inference(subst,[],[refute_0_3616:[bind(X_47,$fot(b3))]]) ).
cnf(refute_0_3618,plain,
( and(b1,b3) != a1
| and(d1,and(b1,b3)) != n0
| and(d1,a1) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,and(b1,b3)),n0) ),[0,1],$fot(a1)]]) ).
cnf(refute_0_3619,plain,
( and(d1,and(b1,b3)) != n0
| and(d1,a1) = n0 ),
inference(resolve,[$cnf( $equal(and(b1,b3),a1) )],[refute_0_693,refute_0_3618]) ).
cnf(refute_0_3620,plain,
and(d1,a1) = n0,
inference(resolve,[$cnf( $equal(and(d1,and(b1,b3)),n0) )],[refute_0_3617,refute_0_3619]) ).
cnf(refute_0_3621,plain,
and(d1,a1) = and(a1,d1),
inference(subst,[],[refute_0_129:[bind(X,$fot(a1)),bind(Y,$fot(d1))]]) ).
cnf(refute_0_3622,plain,
( and(d1,a1) != and(a1,d1)
| and(d1,a1) != n0
| and(a1,d1) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(d1,a1),n0) ),[0],$fot(and(a1,d1))]]) ).
cnf(refute_0_3623,plain,
( and(d1,a1) != n0
| and(a1,d1) = n0 ),
inference(resolve,[$cnf( $equal(and(d1,a1),and(a1,d1)) )],[refute_0_3621,refute_0_3622]) ).
cnf(refute_0_3624,plain,
and(a1,d1) = n0,
inference(resolve,[$cnf( $equal(and(d1,a1),n0) )],[refute_0_3620,refute_0_3623]) ).
cnf(refute_0_3625,plain,
( and(a1,d1) != n0
| or(and(a1,d1),and(d1,not(a1))) != d1
| or(n0,and(d1,not(a1))) = d1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(a1,d1),and(d1,not(a1))),d1) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_3626,plain,
( or(and(a1,d1),and(d1,not(a1))) != d1
| or(n0,and(d1,not(a1))) = d1 ),
inference(resolve,[$cnf( $equal(and(a1,d1),n0) )],[refute_0_3624,refute_0_3625]) ).
cnf(refute_0_3627,plain,
or(n0,and(d1,not(a1))) = d1,
inference(resolve,[$cnf( $equal(or(and(a1,d1),and(d1,not(a1))),d1) )],[refute_0_3605,refute_0_3626]) ).
cnf(refute_0_3628,plain,
or(n0,and(d1,not(a1))) = and(d1,not(a1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(d1,not(a1))))]]) ).
cnf(refute_0_3629,plain,
( or(n0,and(d1,not(a1))) != and(d1,not(a1))
| or(n0,and(d1,not(a1))) != d1
| and(d1,not(a1)) = d1 ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(d1,not(a1))),d1) ),[0],$fot(and(d1,not(a1)))]]) ).
cnf(refute_0_3630,plain,
( or(n0,and(d1,not(a1))) != d1
| and(d1,not(a1)) = d1 ),
inference(resolve,[$cnf( $equal(or(n0,and(d1,not(a1))),and(d1,not(a1))) )],[refute_0_3628,refute_0_3629]) ).
cnf(refute_0_3631,plain,
and(d1,not(a1)) = d1,
inference(resolve,[$cnf( $equal(or(n0,and(d1,not(a1))),d1) )],[refute_0_3627,refute_0_3630]) ).
cnf(refute_0_3632,plain,
( and(d1,not(a1)) != d1
| or(and(d1,not(a1)),and(not(a1),not(d1))) != not(a1)
| or(d1,and(not(a1),not(d1))) = not(a1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(d1,not(a1)),and(not(a1),not(d1))),not(a1)) ),[0,0],$fot(d1)]]) ).
cnf(refute_0_3633,plain,
( or(and(d1,not(a1)),and(not(a1),not(d1))) != not(a1)
| or(d1,and(not(a1),not(d1))) = not(a1) ),
inference(resolve,[$cnf( $equal(and(d1,not(a1)),d1) )],[refute_0_3631,refute_0_3632]) ).
cnf(refute_0_3634,plain,
or(d1,and(not(a1),not(d1))) = not(a1),
inference(resolve,[$cnf( $equal(or(and(d1,not(a1)),and(not(a1),not(d1))),not(a1)) )],[refute_0_3604,refute_0_3633]) ).
cnf(refute_0_3635,plain,
and(not(a1),not(d1)) = not(or(a1,d1)),
inference(subst,[],[refute_0_250:[bind(X,$fot(a1)),bind(Y,$fot(d1))]]) ).
cnf(refute_0_3636,plain,
or(d1,and(not(a1),not(d1))) = or(d1,and(not(a1),not(d1))),
introduced(tautology,[refl,[$fot(or(d1,and(not(a1),not(d1))))]]) ).
cnf(refute_0_3637,plain,
( and(not(a1),not(d1)) != not(or(a1,d1))
| or(d1,and(not(a1),not(d1))) != or(d1,and(not(a1),not(d1)))
| or(d1,and(not(a1),not(d1))) = or(d1,not(or(a1,d1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,and(not(a1),not(d1))),or(d1,and(not(a1),not(d1)))) ),[1,1],$fot(not(or(a1,d1)))]]) ).
cnf(refute_0_3638,plain,
( and(not(a1),not(d1)) != not(or(a1,d1))
| or(d1,and(not(a1),not(d1))) = or(d1,not(or(a1,d1))) ),
inference(resolve,[$cnf( $equal(or(d1,and(not(a1),not(d1))),or(d1,and(not(a1),not(d1)))) )],[refute_0_3636,refute_0_3637]) ).
cnf(refute_0_3639,plain,
or(d1,and(not(a1),not(d1))) = or(d1,not(or(a1,d1))),
inference(resolve,[$cnf( $equal(and(not(a1),not(d1)),not(or(a1,d1))) )],[refute_0_3635,refute_0_3638]) ).
cnf(refute_0_3640,plain,
( or(d1,and(not(a1),not(d1))) != not(a1)
| or(d1,and(not(a1),not(d1))) != or(d1,not(or(a1,d1)))
| or(d1,not(or(a1,d1))) = not(a1) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,and(not(a1),not(d1))),not(a1)) ),[0],$fot(or(d1,not(or(a1,d1))))]]) ).
cnf(refute_0_3641,plain,
( or(d1,and(not(a1),not(d1))) != not(a1)
| or(d1,not(or(a1,d1))) = not(a1) ),
inference(resolve,[$cnf( $equal(or(d1,and(not(a1),not(d1))),or(d1,not(or(a1,d1)))) )],[refute_0_3639,refute_0_3640]) ).
cnf(refute_0_3642,plain,
or(d1,not(or(a1,d1))) = not(a1),
inference(resolve,[$cnf( $equal(or(d1,and(not(a1),not(d1))),not(a1)) )],[refute_0_3634,refute_0_3641]) ).
cnf(refute_0_3643,plain,
not(and(or(a1,d1),b1)) = not(and(b1,or(a1,d1))),
inference(subst,[],[refute_0_1141:[bind(X_109,$fot(or(a1,d1))),bind(X_110,$fot(b1))]]) ).
cnf(refute_0_3644,plain,
or(d1,not(or(a1,d1))) = not(and(or(a1,d1),b1)),
inference(subst,[],[refute_0_878:[bind(X_109,$fot(or(a1,d1)))]]) ).
cnf(refute_0_3645,plain,
( not(and(or(a1,d1),b1)) != not(and(b1,or(a1,d1)))
| or(d1,not(or(a1,d1))) != not(and(or(a1,d1),b1))
| or(d1,not(or(a1,d1))) = not(and(b1,or(a1,d1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d1,not(or(a1,d1))))),bind(Y0,$fot(not(and(or(a1,d1),b1)))),bind(Z0,$fot(not(and(b1,or(a1,d1)))))]]) ).
cnf(refute_0_3646,plain,
( not(and(or(a1,d1),b1)) != not(and(b1,or(a1,d1)))
| or(d1,not(or(a1,d1))) = not(and(b1,or(a1,d1))) ),
inference(resolve,[$cnf( $equal(or(d1,not(or(a1,d1))),not(and(or(a1,d1),b1))) )],[refute_0_3644,refute_0_3645]) ).
cnf(refute_0_3647,plain,
or(d1,not(or(a1,d1))) = not(and(b1,or(a1,d1))),
inference(resolve,[$cnf( $equal(not(and(or(a1,d1),b1)),not(and(b1,or(a1,d1)))) )],[refute_0_3643,refute_0_3646]) ).
cnf(refute_0_3648,plain,
( or(d1,not(or(a1,d1))) != not(a1)
| or(d1,not(or(a1,d1))) != not(and(b1,or(a1,d1)))
| not(and(b1,or(a1,d1))) = not(a1) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,not(or(a1,d1))),not(a1)) ),[0],$fot(not(and(b1,or(a1,d1))))]]) ).
cnf(refute_0_3649,plain,
( or(d1,not(or(a1,d1))) != not(a1)
| not(and(b1,or(a1,d1))) = not(a1) ),
inference(resolve,[$cnf( $equal(or(d1,not(or(a1,d1))),not(and(b1,or(a1,d1)))) )],[refute_0_3647,refute_0_3648]) ).
cnf(refute_0_3650,plain,
not(and(b1,or(a1,d1))) = not(a1),
inference(resolve,[$cnf( $equal(or(d1,not(or(a1,d1))),not(a1)) )],[refute_0_3642,refute_0_3649]) ).
cnf(refute_0_3651,plain,
( not(and(and(b1,or(a1,d1)),Y)) != or(not(and(b1,or(a1,d1))),not(Y))
| not(and(b1,or(a1,d1))) != not(a1)
| not(and(and(b1,or(a1,d1)),Y)) = or(not(a1),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,or(a1,d1)),Y)),or(not(and(b1,or(a1,d1))),not(Y))) ),[1,0],$fot(not(a1))]]) ).
cnf(refute_0_3652,plain,
( not(and(and(b1,or(a1,d1)),Y)) != or(not(and(b1,or(a1,d1))),not(Y))
| not(and(and(b1,or(a1,d1)),Y)) = or(not(a1),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(b1,or(a1,d1))),not(a1)) )],[refute_0_3650,refute_0_3651]) ).
cnf(refute_0_3653,plain,
not(and(and(b1,or(a1,d1)),Y)) = or(not(a1),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(b1,or(a1,d1)),Y)),or(not(and(b1,or(a1,d1))),not(Y))) )],[refute_0_3603,refute_0_3652]) ).
cnf(refute_0_3654,plain,
and(and(b1,or(a1,d1)),Y) = and(b1,and(or(a1,d1),Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(b1)),bind(Y,$fot(or(a1,d1))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_3655,plain,
not(and(and(b1,or(a1,d1)),Y)) = not(and(and(b1,or(a1,d1)),Y)),
introduced(tautology,[refl,[$fot(not(and(and(b1,or(a1,d1)),Y)))]]) ).
cnf(refute_0_3656,plain,
( and(and(b1,or(a1,d1)),Y) != and(b1,and(or(a1,d1),Y))
| not(and(and(b1,or(a1,d1)),Y)) != not(and(and(b1,or(a1,d1)),Y))
| not(and(and(b1,or(a1,d1)),Y)) = not(and(b1,and(or(a1,d1),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,or(a1,d1)),Y)),not(and(and(b1,or(a1,d1)),Y))) ),[1,0],$fot(and(b1,and(or(a1,d1),Y)))]]) ).
cnf(refute_0_3657,plain,
( and(and(b1,or(a1,d1)),Y) != and(b1,and(or(a1,d1),Y))
| not(and(and(b1,or(a1,d1)),Y)) = not(and(b1,and(or(a1,d1),Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,or(a1,d1)),Y)),not(and(and(b1,or(a1,d1)),Y))) )],[refute_0_3655,refute_0_3656]) ).
cnf(refute_0_3658,plain,
not(and(and(b1,or(a1,d1)),Y)) = not(and(b1,and(or(a1,d1),Y))),
inference(resolve,[$cnf( $equal(and(and(b1,or(a1,d1)),Y),and(b1,and(or(a1,d1),Y))) )],[refute_0_3654,refute_0_3657]) ).
cnf(refute_0_3659,plain,
( not(and(and(b1,or(a1,d1)),Y)) != not(and(b1,and(or(a1,d1),Y)))
| not(and(and(b1,or(a1,d1)),Y)) != or(not(a1),not(Y))
| not(and(b1,and(or(a1,d1),Y))) = or(not(a1),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,or(a1,d1)),Y)),or(not(a1),not(Y))) ),[0],$fot(not(and(b1,and(or(a1,d1),Y))))]]) ).
cnf(refute_0_3660,plain,
( not(and(and(b1,or(a1,d1)),Y)) != or(not(a1),not(Y))
| not(and(b1,and(or(a1,d1),Y))) = or(not(a1),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,or(a1,d1)),Y)),not(and(b1,and(or(a1,d1),Y)))) )],[refute_0_3658,refute_0_3659]) ).
cnf(refute_0_3661,plain,
or(not(a1),not(Y)) = not(and(a1,Y)),
inference(subst,[],[refute_0_1135:[bind(X,$fot(a1))]]) ).
cnf(refute_0_3662,plain,
( not(and(b1,and(or(a1,d1),Y))) != or(not(a1),not(Y))
| or(not(a1),not(Y)) != not(and(a1,Y))
| not(and(b1,and(or(a1,d1),Y))) = not(and(a1,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b1,and(or(a1,d1),Y))),not(and(a1,Y))) ),[0],$fot(or(not(a1),not(Y)))]]) ).
cnf(refute_0_3663,plain,
( not(and(b1,and(or(a1,d1),Y))) != or(not(a1),not(Y))
| not(and(b1,and(or(a1,d1),Y))) = not(and(a1,Y)) ),
inference(resolve,[$cnf( $equal(or(not(a1),not(Y)),not(and(a1,Y))) )],[refute_0_3661,refute_0_3662]) ).
cnf(refute_0_3664,plain,
( not(and(and(b1,or(a1,d1)),Y)) != or(not(a1),not(Y))
| not(and(b1,and(or(a1,d1),Y))) = not(and(a1,Y)) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(or(a1,d1),Y))),or(not(a1),not(Y))) )],[refute_0_3660,refute_0_3663]) ).
cnf(refute_0_3665,plain,
not(and(b1,and(or(a1,d1),Y))) = not(and(a1,Y)),
inference(resolve,[$cnf( $equal(not(and(and(b1,or(a1,d1)),Y)),or(not(a1),not(Y))) )],[refute_0_3653,refute_0_3664]) ).
cnf(refute_0_3666,plain,
or(and(b1,b3),and(b3,not(b1))) = b3,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b1)),bind(Y,$fot(b3))]]) ).
cnf(refute_0_3667,plain,
( and(b1,b3) != a1
| or(and(b1,b3),and(b3,not(b1))) != b3
| or(a1,and(b3,not(b1))) = b3 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b1,b3),and(b3,not(b1))),b3) ),[0,0],$fot(a1)]]) ).
cnf(refute_0_3668,plain,
( or(and(b1,b3),and(b3,not(b1))) != b3
| or(a1,and(b3,not(b1))) = b3 ),
inference(resolve,[$cnf( $equal(and(b1,b3),a1) )],[refute_0_693,refute_0_3667]) ).
cnf(refute_0_3669,plain,
or(a1,and(b3,not(b1))) = b3,
inference(resolve,[$cnf( $equal(or(and(b1,b3),and(b3,not(b1))),b3) )],[refute_0_3666,refute_0_3668]) ).
cnf(refute_0_3670,plain,
and(b3,not(b1)) = and(b3,not(b1)),
introduced(tautology,[refl,[$fot(and(b3,not(b1)))]]) ).
cnf(refute_0_3671,plain,
( and(b3,not(b1)) != and(b3,not(b1))
| not(b1) != d1
| and(b3,not(b1)) = and(b3,d1) ),
introduced(tautology,[equality,[$cnf( $equal(and(b3,not(b1)),and(b3,not(b1))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_3672,plain,
( not(b1) != d1
| and(b3,not(b1)) = and(b3,d1) ),
inference(resolve,[$cnf( $equal(and(b3,not(b1)),and(b3,not(b1))) )],[refute_0_3670,refute_0_3671]) ).
cnf(refute_0_3673,plain,
and(b3,not(b1)) = and(b3,d1),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_3672]) ).
cnf(refute_0_3674,plain,
or(a1,and(b3,not(b1))) = or(a1,and(b3,not(b1))),
introduced(tautology,[refl,[$fot(or(a1,and(b3,not(b1))))]]) ).
cnf(refute_0_3675,plain,
( and(b3,not(b1)) != and(b3,d1)
| or(a1,and(b3,not(b1))) != or(a1,and(b3,not(b1)))
| or(a1,and(b3,not(b1))) = or(a1,and(b3,d1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(a1,and(b3,not(b1))),or(a1,and(b3,not(b1)))) ),[1,1],$fot(and(b3,d1))]]) ).
cnf(refute_0_3676,plain,
( and(b3,not(b1)) != and(b3,d1)
| or(a1,and(b3,not(b1))) = or(a1,and(b3,d1)) ),
inference(resolve,[$cnf( $equal(or(a1,and(b3,not(b1))),or(a1,and(b3,not(b1)))) )],[refute_0_3674,refute_0_3675]) ).
cnf(refute_0_3677,plain,
or(a1,and(b3,not(b1))) = or(a1,and(b3,d1)),
inference(resolve,[$cnf( $equal(and(b3,not(b1)),and(b3,d1)) )],[refute_0_3673,refute_0_3676]) ).
cnf(refute_0_3678,plain,
( or(a1,and(b3,not(b1))) != b3
| or(a1,and(b3,not(b1))) != or(a1,and(b3,d1))
| or(a1,and(b3,d1)) = b3 ),
introduced(tautology,[equality,[$cnf( $equal(or(a1,and(b3,not(b1))),b3) ),[0],$fot(or(a1,and(b3,d1)))]]) ).
cnf(refute_0_3679,plain,
( or(a1,and(b3,not(b1))) != b3
| or(a1,and(b3,d1)) = b3 ),
inference(resolve,[$cnf( $equal(or(a1,and(b3,not(b1))),or(a1,and(b3,d1))) )],[refute_0_3677,refute_0_3678]) ).
cnf(refute_0_3680,plain,
or(a1,and(b3,d1)) = b3,
inference(resolve,[$cnf( $equal(or(a1,and(b3,not(b1))),b3) )],[refute_0_3669,refute_0_3679]) ).
cnf(refute_0_3681,plain,
or(and(b3,d1),and(d1,not(b3))) = d1,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b3)),bind(Y,$fot(d1))]]) ).
cnf(refute_0_3682,plain,
( and(d1,not(b3)) != n0
| or(and(b3,d1),and(d1,not(b3))) != d1
| or(and(b3,d1),n0) = d1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b3,d1),and(d1,not(b3))),d1) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_3683,plain,
( or(and(b3,d1),and(d1,not(b3))) != d1
| or(and(b3,d1),n0) = d1 ),
inference(resolve,[$cnf( $equal(and(d1,not(b3)),n0) )],[refute_0_1402,refute_0_3682]) ).
cnf(refute_0_3684,plain,
or(and(b3,d1),n0) = d1,
inference(resolve,[$cnf( $equal(or(and(b3,d1),and(d1,not(b3))),d1) )],[refute_0_3681,refute_0_3683]) ).
cnf(refute_0_3685,plain,
or(n0,and(b3,d1)) = and(b3,d1),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(b3,d1)))]]) ).
cnf(refute_0_3686,plain,
or(and(b3,d1),n0) = or(n0,and(b3,d1)),
inference(subst,[],[refute_0_37:[bind(X,$fot(n0)),bind(Y,$fot(and(b3,d1)))]]) ).
cnf(refute_0_3687,plain,
( or(and(b3,d1),n0) != or(n0,and(b3,d1))
| or(n0,and(b3,d1)) != and(b3,d1)
| or(and(b3,d1),n0) = and(b3,d1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(b3,d1),n0))),bind(Y0,$fot(or(n0,and(b3,d1)))),bind(Z0,$fot(and(b3,d1)))]]) ).
cnf(refute_0_3688,plain,
( or(n0,and(b3,d1)) != and(b3,d1)
| or(and(b3,d1),n0) = and(b3,d1) ),
inference(resolve,[$cnf( $equal(or(and(b3,d1),n0),or(n0,and(b3,d1))) )],[refute_0_3686,refute_0_3687]) ).
cnf(refute_0_3689,plain,
or(and(b3,d1),n0) = and(b3,d1),
inference(resolve,[$cnf( $equal(or(n0,and(b3,d1)),and(b3,d1)) )],[refute_0_3685,refute_0_3688]) ).
cnf(refute_0_3690,plain,
( or(and(b3,d1),n0) != and(b3,d1)
| or(and(b3,d1),n0) != d1
| and(b3,d1) = d1 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b3,d1),n0),d1) ),[0],$fot(and(b3,d1))]]) ).
cnf(refute_0_3691,plain,
( or(and(b3,d1),n0) != d1
| and(b3,d1) = d1 ),
inference(resolve,[$cnf( $equal(or(and(b3,d1),n0),and(b3,d1)) )],[refute_0_3689,refute_0_3690]) ).
cnf(refute_0_3692,plain,
and(b3,d1) = d1,
inference(resolve,[$cnf( $equal(or(and(b3,d1),n0),d1) )],[refute_0_3684,refute_0_3691]) ).
cnf(refute_0_3693,plain,
or(a1,and(b3,d1)) = or(a1,and(b3,d1)),
introduced(tautology,[refl,[$fot(or(a1,and(b3,d1)))]]) ).
cnf(refute_0_3694,plain,
( and(b3,d1) != d1
| or(a1,and(b3,d1)) != or(a1,and(b3,d1))
| or(a1,and(b3,d1)) = or(a1,d1) ),
introduced(tautology,[equality,[$cnf( $equal(or(a1,and(b3,d1)),or(a1,and(b3,d1))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_3695,plain,
( and(b3,d1) != d1
| or(a1,and(b3,d1)) = or(a1,d1) ),
inference(resolve,[$cnf( $equal(or(a1,and(b3,d1)),or(a1,and(b3,d1))) )],[refute_0_3693,refute_0_3694]) ).
cnf(refute_0_3696,plain,
or(a1,and(b3,d1)) = or(a1,d1),
inference(resolve,[$cnf( $equal(and(b3,d1),d1) )],[refute_0_3692,refute_0_3695]) ).
cnf(refute_0_3697,plain,
( or(a1,and(b3,d1)) != b3
| or(a1,and(b3,d1)) != or(a1,d1)
| or(a1,d1) = b3 ),
introduced(tautology,[equality,[$cnf( $equal(or(a1,and(b3,d1)),b3) ),[0],$fot(or(a1,d1))]]) ).
cnf(refute_0_3698,plain,
( or(a1,and(b3,d1)) != b3
| or(a1,d1) = b3 ),
inference(resolve,[$cnf( $equal(or(a1,and(b3,d1)),or(a1,d1)) )],[refute_0_3696,refute_0_3697]) ).
cnf(refute_0_3699,plain,
or(a1,d1) = b3,
inference(resolve,[$cnf( $equal(or(a1,and(b3,d1)),b3) )],[refute_0_3680,refute_0_3698]) ).
cnf(refute_0_3700,plain,
and(or(a1,d1),Y) = and(or(a1,d1),Y),
introduced(tautology,[refl,[$fot(and(or(a1,d1),Y))]]) ).
cnf(refute_0_3701,plain,
( and(or(a1,d1),Y) != and(or(a1,d1),Y)
| or(a1,d1) != b3
| and(or(a1,d1),Y) = and(b3,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a1,d1),Y),and(or(a1,d1),Y)) ),[1,0],$fot(b3)]]) ).
cnf(refute_0_3702,plain,
( or(a1,d1) != b3
| and(or(a1,d1),Y) = and(b3,Y) ),
inference(resolve,[$cnf( $equal(and(or(a1,d1),Y),and(or(a1,d1),Y)) )],[refute_0_3700,refute_0_3701]) ).
cnf(refute_0_3703,plain,
and(or(a1,d1),Y) = and(b3,Y),
inference(resolve,[$cnf( $equal(or(a1,d1),b3) )],[refute_0_3699,refute_0_3702]) ).
cnf(refute_0_3704,plain,
and(b1,and(or(a1,d1),Y)) = and(b1,and(or(a1,d1),Y)),
introduced(tautology,[refl,[$fot(and(b1,and(or(a1,d1),Y)))]]) ).
cnf(refute_0_3705,plain,
( and(b1,and(or(a1,d1),Y)) != and(b1,and(or(a1,d1),Y))
| and(or(a1,d1),Y) != and(b3,Y)
| and(b1,and(or(a1,d1),Y)) = and(b1,and(b3,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(or(a1,d1),Y)),and(b1,and(or(a1,d1),Y))) ),[1,1],$fot(and(b3,Y))]]) ).
cnf(refute_0_3706,plain,
( and(or(a1,d1),Y) != and(b3,Y)
| and(b1,and(or(a1,d1),Y)) = and(b1,and(b3,Y)) ),
inference(resolve,[$cnf( $equal(and(b1,and(or(a1,d1),Y)),and(b1,and(or(a1,d1),Y))) )],[refute_0_3704,refute_0_3705]) ).
cnf(refute_0_3707,plain,
and(b1,and(or(a1,d1),Y)) = and(b1,and(b3,Y)),
inference(resolve,[$cnf( $equal(and(or(a1,d1),Y),and(b3,Y)) )],[refute_0_3703,refute_0_3706]) ).
cnf(refute_0_3708,plain,
not(and(b1,and(or(a1,d1),Y))) = not(and(b1,and(or(a1,d1),Y))),
introduced(tautology,[refl,[$fot(not(and(b1,and(or(a1,d1),Y))))]]) ).
cnf(refute_0_3709,plain,
( and(b1,and(or(a1,d1),Y)) != and(b1,and(b3,Y))
| not(and(b1,and(or(a1,d1),Y))) != not(and(b1,and(or(a1,d1),Y)))
| not(and(b1,and(or(a1,d1),Y))) = not(and(b1,and(b3,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,and(or(a1,d1),Y))),not(and(b1,and(or(a1,d1),Y)))) ),[1,0],$fot(and(b1,and(b3,Y)))]]) ).
cnf(refute_0_3710,plain,
( and(b1,and(or(a1,d1),Y)) != and(b1,and(b3,Y))
| not(and(b1,and(or(a1,d1),Y))) = not(and(b1,and(b3,Y))) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(or(a1,d1),Y))),not(and(b1,and(or(a1,d1),Y)))) )],[refute_0_3708,refute_0_3709]) ).
cnf(refute_0_3711,plain,
not(and(b1,and(or(a1,d1),Y))) = not(and(b1,and(b3,Y))),
inference(resolve,[$cnf( $equal(and(b1,and(or(a1,d1),Y)),and(b1,and(b3,Y))) )],[refute_0_3707,refute_0_3710]) ).
cnf(refute_0_3712,plain,
( not(and(b1,and(or(a1,d1),Y))) != not(and(a1,Y))
| not(and(b1,and(or(a1,d1),Y))) != not(and(b1,and(b3,Y)))
| not(and(b1,and(b3,Y))) = not(and(a1,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b1,and(or(a1,d1),Y))),not(and(a1,Y))) ),[0],$fot(not(and(b1,and(b3,Y))))]]) ).
cnf(refute_0_3713,plain,
( not(and(b1,and(or(a1,d1),Y))) != not(and(a1,Y))
| not(and(b1,and(b3,Y))) = not(and(a1,Y)) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(or(a1,d1),Y))),not(and(b1,and(b3,Y)))) )],[refute_0_3711,refute_0_3712]) ).
cnf(refute_0_3714,plain,
not(and(b1,and(b3,Y))) = not(and(a1,Y)),
inference(resolve,[$cnf( $equal(not(and(b1,and(or(a1,d1),Y))),not(and(a1,Y))) )],[refute_0_3665,refute_0_3713]) ).
cnf(refute_0_3715,plain,
not(and(b1,and(b3,f1))) = not(and(a1,f1)),
inference(subst,[],[refute_0_3714:[bind(Y,$fot(f1))]]) ).
cnf(refute_0_3716,plain,
not(and(or(a1,b1),Y)) = or(not(or(a1,b1)),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(or(a1,b1)))]]) ).
cnf(refute_0_3717,plain,
or(and(b3,not(or(a1,b1))),and(not(or(a1,b1)),not(b3))) = not(or(a1,b1)),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b3)),bind(Y,$fot(not(or(a1,b1))))]]) ).
cnf(refute_0_3718,plain,
or(and(b1,and(b3,not(a1))),and(and(b3,not(a1)),not(b1))) = and(b3,not(a1)),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b1)),bind(Y,$fot(and(b3,not(a1))))]]) ).
cnf(refute_0_3719,plain,
and(and(b1,or(a1,d1)),not(and(b1,or(a1,d1)))) = n0,
inference(subst,[],[and_not_simplification1:[bind(X,$fot(and(b1,or(a1,d1))))]]) ).
cnf(refute_0_3720,plain,
( and(and(b1,or(a1,d1)),not(and(b1,or(a1,d1)))) != n0
| not(and(b1,or(a1,d1))) != not(a1)
| and(and(b1,or(a1,d1)),not(a1)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b1,or(a1,d1)),not(and(b1,or(a1,d1)))),n0) ),[0,1],$fot(not(a1))]]) ).
cnf(refute_0_3721,plain,
( and(and(b1,or(a1,d1)),not(and(b1,or(a1,d1)))) != n0
| and(and(b1,or(a1,d1)),not(a1)) = n0 ),
inference(resolve,[$cnf( $equal(not(and(b1,or(a1,d1))),not(a1)) )],[refute_0_3650,refute_0_3720]) ).
cnf(refute_0_3722,plain,
and(and(b1,or(a1,d1)),not(a1)) = n0,
inference(resolve,[$cnf( $equal(and(and(b1,or(a1,d1)),not(and(b1,or(a1,d1)))),n0) )],[refute_0_3719,refute_0_3721]) ).
cnf(refute_0_3723,plain,
and(b1,and(or(a1,d1),not(a1))) = and(b1,and(not(a1),or(a1,d1))),
inference(subst,[],[refute_0_944:[bind(X,$fot(b1)),bind(Y,$fot(not(a1))),bind(Z,$fot(or(a1,d1)))]]) ).
cnf(refute_0_3724,plain,
and(and(b1,or(a1,d1)),not(a1)) = and(b1,and(or(a1,d1),not(a1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(b1)),bind(Y,$fot(or(a1,d1))),bind(Z,$fot(not(a1)))]]) ).
cnf(refute_0_3725,plain,
( and(and(b1,or(a1,d1)),not(a1)) != and(b1,and(or(a1,d1),not(a1)))
| and(b1,and(or(a1,d1),not(a1))) != and(b1,and(not(a1),or(a1,d1)))
| and(and(b1,or(a1,d1)),not(a1)) = and(b1,and(not(a1),or(a1,d1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(b1,or(a1,d1)),not(a1)))),bind(Y0,$fot(and(b1,and(or(a1,d1),not(a1))))),bind(Z0,$fot(and(b1,and(not(a1),or(a1,d1)))))]]) ).
cnf(refute_0_3726,plain,
( and(b1,and(or(a1,d1),not(a1))) != and(b1,and(not(a1),or(a1,d1)))
| and(and(b1,or(a1,d1)),not(a1)) = and(b1,and(not(a1),or(a1,d1))) ),
inference(resolve,[$cnf( $equal(and(and(b1,or(a1,d1)),not(a1)),and(b1,and(or(a1,d1),not(a1)))) )],[refute_0_3724,refute_0_3725]) ).
cnf(refute_0_3727,plain,
and(and(b1,or(a1,d1)),not(a1)) = and(b1,and(not(a1),or(a1,d1))),
inference(resolve,[$cnf( $equal(and(b1,and(or(a1,d1),not(a1))),and(b1,and(not(a1),or(a1,d1)))) )],[refute_0_3723,refute_0_3726]) ).
cnf(refute_0_3728,plain,
( and(and(b1,or(a1,d1)),not(a1)) != and(b1,and(not(a1),or(a1,d1)))
| and(and(b1,or(a1,d1)),not(a1)) != n0
| and(b1,and(not(a1),or(a1,d1))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(and(b1,or(a1,d1)),not(a1)),n0) ),[0],$fot(and(b1,and(not(a1),or(a1,d1))))]]) ).
cnf(refute_0_3729,plain,
( and(and(b1,or(a1,d1)),not(a1)) != n0
| and(b1,and(not(a1),or(a1,d1))) = n0 ),
inference(resolve,[$cnf( $equal(and(and(b1,or(a1,d1)),not(a1)),and(b1,and(not(a1),or(a1,d1)))) )],[refute_0_3727,refute_0_3728]) ).
cnf(refute_0_3730,plain,
and(b1,and(not(a1),or(a1,d1))) = n0,
inference(resolve,[$cnf( $equal(and(and(b1,or(a1,d1)),not(a1)),n0) )],[refute_0_3722,refute_0_3729]) ).
cnf(refute_0_3731,plain,
and(not(a1),b3) = and(b3,not(a1)),
inference(subst,[],[refute_0_129:[bind(X,$fot(b3)),bind(Y,$fot(not(a1)))]]) ).
cnf(refute_0_3732,plain,
and(not(a1),or(a1,d1)) = and(not(a1),or(a1,d1)),
introduced(tautology,[refl,[$fot(and(not(a1),or(a1,d1)))]]) ).
cnf(refute_0_3733,plain,
( and(not(a1),or(a1,d1)) != and(not(a1),or(a1,d1))
| or(a1,d1) != b3
| and(not(a1),or(a1,d1)) = and(not(a1),b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(not(a1),or(a1,d1)),and(not(a1),or(a1,d1))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_3734,plain,
( or(a1,d1) != b3
| and(not(a1),or(a1,d1)) = and(not(a1),b3) ),
inference(resolve,[$cnf( $equal(and(not(a1),or(a1,d1)),and(not(a1),or(a1,d1))) )],[refute_0_3732,refute_0_3733]) ).
cnf(refute_0_3735,plain,
and(not(a1),or(a1,d1)) = and(not(a1),b3),
inference(resolve,[$cnf( $equal(or(a1,d1),b3) )],[refute_0_3699,refute_0_3734]) ).
cnf(refute_0_3736,plain,
( and(not(a1),b3) != and(b3,not(a1))
| and(not(a1),or(a1,d1)) != and(not(a1),b3)
| and(not(a1),or(a1,d1)) = and(b3,not(a1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(not(a1),or(a1,d1)))),bind(Y0,$fot(and(not(a1),b3))),bind(Z0,$fot(and(b3,not(a1))))]]) ).
cnf(refute_0_3737,plain,
( and(not(a1),b3) != and(b3,not(a1))
| and(not(a1),or(a1,d1)) = and(b3,not(a1)) ),
inference(resolve,[$cnf( $equal(and(not(a1),or(a1,d1)),and(not(a1),b3)) )],[refute_0_3735,refute_0_3736]) ).
cnf(refute_0_3738,plain,
and(not(a1),or(a1,d1)) = and(b3,not(a1)),
inference(resolve,[$cnf( $equal(and(not(a1),b3),and(b3,not(a1))) )],[refute_0_3731,refute_0_3737]) ).
cnf(refute_0_3739,plain,
and(b1,and(not(a1),or(a1,d1))) = and(b1,and(not(a1),or(a1,d1))),
introduced(tautology,[refl,[$fot(and(b1,and(not(a1),or(a1,d1))))]]) ).
cnf(refute_0_3740,plain,
( and(b1,and(not(a1),or(a1,d1))) != and(b1,and(not(a1),or(a1,d1)))
| and(not(a1),or(a1,d1)) != and(b3,not(a1))
| and(b1,and(not(a1),or(a1,d1))) = and(b1,and(b3,not(a1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(not(a1),or(a1,d1))),and(b1,and(not(a1),or(a1,d1)))) ),[1,1],$fot(and(b3,not(a1)))]]) ).
cnf(refute_0_3741,plain,
( and(not(a1),or(a1,d1)) != and(b3,not(a1))
| and(b1,and(not(a1),or(a1,d1))) = and(b1,and(b3,not(a1))) ),
inference(resolve,[$cnf( $equal(and(b1,and(not(a1),or(a1,d1))),and(b1,and(not(a1),or(a1,d1)))) )],[refute_0_3739,refute_0_3740]) ).
cnf(refute_0_3742,plain,
and(b1,and(not(a1),or(a1,d1))) = and(b1,and(b3,not(a1))),
inference(resolve,[$cnf( $equal(and(not(a1),or(a1,d1)),and(b3,not(a1))) )],[refute_0_3738,refute_0_3741]) ).
cnf(refute_0_3743,plain,
( and(b1,and(not(a1),or(a1,d1))) != and(b1,and(b3,not(a1)))
| and(b1,and(not(a1),or(a1,d1))) != n0
| and(b1,and(b3,not(a1))) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(not(a1),or(a1,d1))),n0) ),[0],$fot(and(b1,and(b3,not(a1))))]]) ).
cnf(refute_0_3744,plain,
( and(b1,and(not(a1),or(a1,d1))) != n0
| and(b1,and(b3,not(a1))) = n0 ),
inference(resolve,[$cnf( $equal(and(b1,and(not(a1),or(a1,d1))),and(b1,and(b3,not(a1)))) )],[refute_0_3742,refute_0_3743]) ).
cnf(refute_0_3745,plain,
and(b1,and(b3,not(a1))) = n0,
inference(resolve,[$cnf( $equal(and(b1,and(not(a1),or(a1,d1))),n0) )],[refute_0_3730,refute_0_3744]) ).
cnf(refute_0_3746,plain,
( and(b1,and(b3,not(a1))) != n0
| or(and(b1,and(b3,not(a1))),and(and(b3,not(a1)),not(b1))) != and(b3,not(a1))
| or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,not(a1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b1,and(b3,not(a1))),and(and(b3,not(a1)),not(b1))),and(b3,not(a1))) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_3747,plain,
( or(and(b1,and(b3,not(a1))),and(and(b3,not(a1)),not(b1))) != and(b3,not(a1))
| or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,not(a1)) ),
inference(resolve,[$cnf( $equal(and(b1,and(b3,not(a1))),n0) )],[refute_0_3745,refute_0_3746]) ).
cnf(refute_0_3748,plain,
or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,not(a1)),
inference(resolve,[$cnf( $equal(or(and(b1,and(b3,not(a1))),and(and(b3,not(a1)),not(b1))),and(b3,not(a1))) )],[refute_0_3718,refute_0_3747]) ).
cnf(refute_0_3749,plain,
and(not(a1),not(b1)) = not(or(a1,b1)),
inference(subst,[],[refute_0_250:[bind(X,$fot(a1)),bind(Y,$fot(b1))]]) ).
cnf(refute_0_3750,plain,
and(b3,and(not(a1),not(b1))) = and(b3,and(not(a1),not(b1))),
introduced(tautology,[refl,[$fot(and(b3,and(not(a1),not(b1))))]]) ).
cnf(refute_0_3751,plain,
( and(b3,and(not(a1),not(b1))) != and(b3,and(not(a1),not(b1)))
| and(not(a1),not(b1)) != not(or(a1,b1))
| and(b3,and(not(a1),not(b1))) = and(b3,not(or(a1,b1))) ),
introduced(tautology,[equality,[$cnf( $equal(and(b3,and(not(a1),not(b1))),and(b3,and(not(a1),not(b1)))) ),[1,1],$fot(not(or(a1,b1)))]]) ).
cnf(refute_0_3752,plain,
( and(not(a1),not(b1)) != not(or(a1,b1))
| and(b3,and(not(a1),not(b1))) = and(b3,not(or(a1,b1))) ),
inference(resolve,[$cnf( $equal(and(b3,and(not(a1),not(b1))),and(b3,and(not(a1),not(b1)))) )],[refute_0_3750,refute_0_3751]) ).
cnf(refute_0_3753,plain,
and(b3,and(not(a1),not(b1))) = and(b3,not(or(a1,b1))),
inference(resolve,[$cnf( $equal(and(not(a1),not(b1)),not(or(a1,b1))) )],[refute_0_3749,refute_0_3752]) ).
cnf(refute_0_3754,plain,
and(and(b3,not(a1)),not(b1)) = and(b3,and(not(a1),not(b1))),
inference(subst,[],[refute_0_202:[bind(X,$fot(b3)),bind(Y,$fot(not(a1))),bind(Z,$fot(not(b1)))]]) ).
cnf(refute_0_3755,plain,
or(n0,and(and(b3,not(a1)),not(b1))) = and(and(b3,not(a1)),not(b1)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(b3,not(a1)),not(b1))))]]) ).
cnf(refute_0_3756,plain,
( and(and(b3,not(a1)),not(b1)) != and(b3,and(not(a1),not(b1)))
| or(n0,and(and(b3,not(a1)),not(b1))) != and(and(b3,not(a1)),not(b1))
| or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,and(not(a1),not(b1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(b3,not(a1)),not(b1))))),bind(Y0,$fot(and(and(b3,not(a1)),not(b1)))),bind(Z0,$fot(and(b3,and(not(a1),not(b1)))))]]) ).
cnf(refute_0_3757,plain,
( and(and(b3,not(a1)),not(b1)) != and(b3,and(not(a1),not(b1)))
| or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,and(not(a1),not(b1))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b3,not(a1)),not(b1))),and(and(b3,not(a1)),not(b1))) )],[refute_0_3755,refute_0_3756]) ).
cnf(refute_0_3758,plain,
or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,and(not(a1),not(b1))),
inference(resolve,[$cnf( $equal(and(and(b3,not(a1)),not(b1)),and(b3,and(not(a1),not(b1)))) )],[refute_0_3754,refute_0_3757]) ).
cnf(refute_0_3759,plain,
( and(b3,and(not(a1),not(b1))) != and(b3,not(or(a1,b1)))
| or(n0,and(and(b3,not(a1)),not(b1))) != and(b3,and(not(a1),not(b1)))
| or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,not(or(a1,b1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(b3,not(a1)),not(b1))))),bind(Y0,$fot(and(b3,and(not(a1),not(b1))))),bind(Z0,$fot(and(b3,not(or(a1,b1)))))]]) ).
cnf(refute_0_3760,plain,
( and(b3,and(not(a1),not(b1))) != and(b3,not(or(a1,b1)))
| or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,not(or(a1,b1))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b3,not(a1)),not(b1))),and(b3,and(not(a1),not(b1)))) )],[refute_0_3758,refute_0_3759]) ).
cnf(refute_0_3761,plain,
or(n0,and(and(b3,not(a1)),not(b1))) = and(b3,not(or(a1,b1))),
inference(resolve,[$cnf( $equal(and(b3,and(not(a1),not(b1))),and(b3,not(or(a1,b1)))) )],[refute_0_3753,refute_0_3760]) ).
cnf(refute_0_3762,plain,
( or(n0,and(and(b3,not(a1)),not(b1))) != and(b3,not(a1))
| or(n0,and(and(b3,not(a1)),not(b1))) != and(b3,not(or(a1,b1)))
| and(b3,not(or(a1,b1))) = and(b3,not(a1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(b3,not(a1)),not(b1))),and(b3,not(a1))) ),[0],$fot(and(b3,not(or(a1,b1))))]]) ).
cnf(refute_0_3763,plain,
( or(n0,and(and(b3,not(a1)),not(b1))) != and(b3,not(a1))
| and(b3,not(or(a1,b1))) = and(b3,not(a1)) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b3,not(a1)),not(b1))),and(b3,not(or(a1,b1)))) )],[refute_0_3761,refute_0_3762]) ).
cnf(refute_0_3764,plain,
and(b3,not(or(a1,b1))) = and(b3,not(a1)),
inference(resolve,[$cnf( $equal(or(n0,and(and(b3,not(a1)),not(b1))),and(b3,not(a1))) )],[refute_0_3748,refute_0_3763]) ).
cnf(refute_0_3765,plain,
or(and(X_27,d1),and(b1,X_27)) = or(and(b1,X_27),and(X_27,d1)),
inference(subst,[],[or_commutativity:[bind(X,$fot(and(X_27,d1))),bind(Y,$fot(and(b1,X_27)))]]) ).
cnf(refute_0_3766,plain,
or(and(b1,X_14),and(X_14,not(b1))) = X_14,
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b1)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_3767,plain,
( not(b1) != d1
| or(and(b1,X_14),and(X_14,not(b1))) != X_14
| or(and(b1,X_14),and(X_14,d1)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b1,X_14),and(X_14,not(b1))),X_14) ),[0,1,1],$fot(d1)]]) ).
cnf(refute_0_3768,plain,
( or(and(b1,X_14),and(X_14,not(b1))) != X_14
| or(and(b1,X_14),and(X_14,d1)) = X_14 ),
inference(resolve,[$cnf( $equal(not(b1),d1) )],[refute_0_195,refute_0_3767]) ).
cnf(refute_0_3769,plain,
or(and(b1,X_14),and(X_14,d1)) = X_14,
inference(resolve,[$cnf( $equal(or(and(b1,X_14),and(X_14,not(b1))),X_14) )],[refute_0_3766,refute_0_3768]) ).
cnf(refute_0_3770,plain,
or(and(b1,X_27),and(X_27,d1)) = X_27,
inference(subst,[],[refute_0_3769:[bind(X_14,$fot(X_27))]]) ).
cnf(refute_0_3771,plain,
( or(and(X_27,d1),and(b1,X_27)) != or(and(b1,X_27),and(X_27,d1))
| or(and(b1,X_27),and(X_27,d1)) != X_27
| or(and(X_27,d1),and(b1,X_27)) = X_27 ),
introduced(tautology,[equality,[$cnf( ~ $equal(or(and(X_27,d1),and(b1,X_27)),X_27) ),[0],$fot(or(and(b1,X_27),and(X_27,d1)))]]) ).
cnf(refute_0_3772,plain,
( or(and(X_27,d1),and(b1,X_27)) != or(and(b1,X_27),and(X_27,d1))
| or(and(X_27,d1),and(b1,X_27)) = X_27 ),
inference(resolve,[$cnf( $equal(or(and(b1,X_27),and(X_27,d1)),X_27) )],[refute_0_3770,refute_0_3771]) ).
cnf(refute_0_3773,plain,
or(and(X_27,d1),and(b1,X_27)) = X_27,
inference(resolve,[$cnf( $equal(or(and(X_27,d1),and(b1,X_27)),or(and(b1,X_27),and(X_27,d1))) )],[refute_0_3765,refute_0_3772]) ).
cnf(refute_0_3774,plain,
or(and(and(b3,not(a1)),d1),and(b1,and(b3,not(a1)))) = and(b3,not(a1)),
inference(subst,[],[refute_0_3773:[bind(X_27,$fot(and(b3,not(a1))))]]) ).
cnf(refute_0_3775,plain,
( and(b1,and(b3,not(a1))) != n0
| or(and(and(b3,not(a1)),d1),and(b1,and(b3,not(a1)))) != and(b3,not(a1))
| or(and(and(b3,not(a1)),d1),n0) = and(b3,not(a1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(b3,not(a1)),d1),and(b1,and(b3,not(a1)))),and(b3,not(a1))) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_3776,plain,
( or(and(and(b3,not(a1)),d1),and(b1,and(b3,not(a1)))) != and(b3,not(a1))
| or(and(and(b3,not(a1)),d1),n0) = and(b3,not(a1)) ),
inference(resolve,[$cnf( $equal(and(b1,and(b3,not(a1))),n0) )],[refute_0_3745,refute_0_3775]) ).
cnf(refute_0_3777,plain,
or(and(and(b3,not(a1)),d1),n0) = and(b3,not(a1)),
inference(resolve,[$cnf( $equal(or(and(and(b3,not(a1)),d1),and(b1,and(b3,not(a1)))),and(b3,not(a1))) )],[refute_0_3774,refute_0_3776]) ).
cnf(refute_0_3778,plain,
and(b3,and(d1,not(a1))) = and(b3,and(d1,not(a1))),
introduced(tautology,[refl,[$fot(and(b3,and(d1,not(a1))))]]) ).
cnf(refute_0_3779,plain,
( and(b3,and(d1,not(a1))) != and(b3,and(d1,not(a1)))
| and(d1,not(a1)) != d1
| and(b3,and(d1,not(a1))) = and(b3,d1) ),
introduced(tautology,[equality,[$cnf( $equal(and(b3,and(d1,not(a1))),and(b3,and(d1,not(a1)))) ),[1,1],$fot(d1)]]) ).
cnf(refute_0_3780,plain,
( and(d1,not(a1)) != d1
| and(b3,and(d1,not(a1))) = and(b3,d1) ),
inference(resolve,[$cnf( $equal(and(b3,and(d1,not(a1))),and(b3,and(d1,not(a1)))) )],[refute_0_3778,refute_0_3779]) ).
cnf(refute_0_3781,plain,
and(b3,and(d1,not(a1))) = and(b3,d1),
inference(resolve,[$cnf( $equal(and(d1,not(a1)),d1) )],[refute_0_3631,refute_0_3780]) ).
cnf(refute_0_3782,plain,
( and(b3,and(d1,not(a1))) != and(b3,d1)
| and(b3,d1) != d1
| and(b3,and(d1,not(a1))) = d1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b3,and(d1,not(a1))))),bind(Y0,$fot(and(b3,d1))),bind(Z0,$fot(d1))]]) ).
cnf(refute_0_3783,plain,
( and(b3,d1) != d1
| and(b3,and(d1,not(a1))) = d1 ),
inference(resolve,[$cnf( $equal(and(b3,and(d1,not(a1))),and(b3,d1)) )],[refute_0_3781,refute_0_3782]) ).
cnf(refute_0_3784,plain,
and(b3,and(d1,not(a1))) = d1,
inference(resolve,[$cnf( $equal(and(b3,d1),d1) )],[refute_0_3692,refute_0_3783]) ).
cnf(refute_0_3785,plain,
and(b3,and(not(a1),d1)) = and(b3,and(d1,not(a1))),
inference(subst,[],[refute_0_944:[bind(X,$fot(b3)),bind(Y,$fot(d1)),bind(Z,$fot(not(a1)))]]) ).
cnf(refute_0_3786,plain,
and(and(b3,not(a1)),d1) = and(b3,and(not(a1),d1)),
inference(subst,[],[refute_0_202:[bind(X,$fot(b3)),bind(Y,$fot(not(a1))),bind(Z,$fot(d1))]]) ).
cnf(refute_0_3787,plain,
( and(and(b3,not(a1)),d1) != and(b3,and(not(a1),d1))
| and(b3,and(not(a1),d1)) != and(b3,and(d1,not(a1)))
| and(and(b3,not(a1)),d1) = and(b3,and(d1,not(a1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(and(b3,not(a1)),d1))),bind(Y0,$fot(and(b3,and(not(a1),d1)))),bind(Z0,$fot(and(b3,and(d1,not(a1)))))]]) ).
cnf(refute_0_3788,plain,
( and(b3,and(not(a1),d1)) != and(b3,and(d1,not(a1)))
| and(and(b3,not(a1)),d1) = and(b3,and(d1,not(a1))) ),
inference(resolve,[$cnf( $equal(and(and(b3,not(a1)),d1),and(b3,and(not(a1),d1))) )],[refute_0_3786,refute_0_3787]) ).
cnf(refute_0_3789,plain,
and(and(b3,not(a1)),d1) = and(b3,and(d1,not(a1))),
inference(resolve,[$cnf( $equal(and(b3,and(not(a1),d1)),and(b3,and(d1,not(a1)))) )],[refute_0_3785,refute_0_3788]) ).
cnf(refute_0_3790,plain,
or(n0,and(and(b3,not(a1)),d1)) = and(and(b3,not(a1)),d1),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(b3,not(a1)),d1)))]]) ).
cnf(refute_0_3791,plain,
( and(and(b3,not(a1)),d1) != and(b3,and(d1,not(a1)))
| or(n0,and(and(b3,not(a1)),d1)) != and(and(b3,not(a1)),d1)
| or(n0,and(and(b3,not(a1)),d1)) = and(b3,and(d1,not(a1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(b3,not(a1)),d1)))),bind(Y0,$fot(and(and(b3,not(a1)),d1))),bind(Z0,$fot(and(b3,and(d1,not(a1)))))]]) ).
cnf(refute_0_3792,plain,
( and(and(b3,not(a1)),d1) != and(b3,and(d1,not(a1)))
| or(n0,and(and(b3,not(a1)),d1)) = and(b3,and(d1,not(a1))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(b3,not(a1)),d1)),and(and(b3,not(a1)),d1)) )],[refute_0_3790,refute_0_3791]) ).
cnf(refute_0_3793,plain,
or(n0,and(and(b3,not(a1)),d1)) = and(b3,and(d1,not(a1))),
inference(resolve,[$cnf( $equal(and(and(b3,not(a1)),d1),and(b3,and(d1,not(a1)))) )],[refute_0_3789,refute_0_3792]) ).
cnf(refute_0_3794,plain,
or(and(and(b3,not(a1)),d1),n0) = or(n0,and(and(b3,not(a1)),d1)),
inference(subst,[],[refute_0_37:[bind(X,$fot(n0)),bind(Y,$fot(and(and(b3,not(a1)),d1)))]]) ).
cnf(refute_0_3795,plain,
( or(and(and(b3,not(a1)),d1),n0) != or(n0,and(and(b3,not(a1)),d1))
| or(n0,and(and(b3,not(a1)),d1)) != and(b3,and(d1,not(a1)))
| or(and(and(b3,not(a1)),d1),n0) = and(b3,and(d1,not(a1))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(and(b3,not(a1)),d1),n0))),bind(Y0,$fot(or(n0,and(and(b3,not(a1)),d1)))),bind(Z0,$fot(and(b3,and(d1,not(a1)))))]]) ).
cnf(refute_0_3796,plain,
( or(n0,and(and(b3,not(a1)),d1)) != and(b3,and(d1,not(a1)))
| or(and(and(b3,not(a1)),d1),n0) = and(b3,and(d1,not(a1))) ),
inference(resolve,[$cnf( $equal(or(and(and(b3,not(a1)),d1),n0),or(n0,and(and(b3,not(a1)),d1))) )],[refute_0_3794,refute_0_3795]) ).
cnf(refute_0_3797,plain,
or(and(and(b3,not(a1)),d1),n0) = and(b3,and(d1,not(a1))),
inference(resolve,[$cnf( $equal(or(n0,and(and(b3,not(a1)),d1)),and(b3,and(d1,not(a1)))) )],[refute_0_3793,refute_0_3796]) ).
cnf(refute_0_3798,plain,
( and(b3,and(d1,not(a1))) != d1
| or(and(and(b3,not(a1)),d1),n0) != and(b3,and(d1,not(a1)))
| or(and(and(b3,not(a1)),d1),n0) = d1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(and(and(b3,not(a1)),d1),n0))),bind(Y0,$fot(and(b3,and(d1,not(a1))))),bind(Z0,$fot(d1))]]) ).
cnf(refute_0_3799,plain,
( and(b3,and(d1,not(a1))) != d1
| or(and(and(b3,not(a1)),d1),n0) = d1 ),
inference(resolve,[$cnf( $equal(or(and(and(b3,not(a1)),d1),n0),and(b3,and(d1,not(a1)))) )],[refute_0_3797,refute_0_3798]) ).
cnf(refute_0_3800,plain,
or(and(and(b3,not(a1)),d1),n0) = d1,
inference(resolve,[$cnf( $equal(and(b3,and(d1,not(a1))),d1) )],[refute_0_3784,refute_0_3799]) ).
cnf(refute_0_3801,plain,
( or(and(and(b3,not(a1)),d1),n0) != and(b3,not(a1))
| or(and(and(b3,not(a1)),d1),n0) != d1
| d1 = and(b3,not(a1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(and(b3,not(a1)),d1),n0),and(b3,not(a1))) ),[0],$fot(d1)]]) ).
cnf(refute_0_3802,plain,
( or(and(and(b3,not(a1)),d1),n0) != and(b3,not(a1))
| d1 = and(b3,not(a1)) ),
inference(resolve,[$cnf( $equal(or(and(and(b3,not(a1)),d1),n0),d1) )],[refute_0_3800,refute_0_3801]) ).
cnf(refute_0_3803,plain,
d1 = and(b3,not(a1)),
inference(resolve,[$cnf( $equal(or(and(and(b3,not(a1)),d1),n0),and(b3,not(a1))) )],[refute_0_3777,refute_0_3802]) ).
cnf(refute_0_3804,plain,
( d1 != and(b3,not(a1))
| and(b3,not(a1)) = d1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d1)),bind(Y0,$fot(and(b3,not(a1))))]]) ).
cnf(refute_0_3805,plain,
and(b3,not(a1)) = d1,
inference(resolve,[$cnf( $equal(d1,and(b3,not(a1))) )],[refute_0_3803,refute_0_3804]) ).
cnf(refute_0_3806,plain,
( and(b3,not(a1)) != d1
| and(b3,not(or(a1,b1))) != and(b3,not(a1))
| and(b3,not(or(a1,b1))) = d1 ),
introduced(tautology,[equality,[$cnf( $equal(and(b3,not(or(a1,b1))),and(b3,not(a1))) ),[1],$fot(d1)]]) ).
cnf(refute_0_3807,plain,
( and(b3,not(or(a1,b1))) != and(b3,not(a1))
| and(b3,not(or(a1,b1))) = d1 ),
inference(resolve,[$cnf( $equal(and(b3,not(a1)),d1) )],[refute_0_3805,refute_0_3806]) ).
cnf(refute_0_3808,plain,
and(b3,not(or(a1,b1))) = d1,
inference(resolve,[$cnf( $equal(and(b3,not(or(a1,b1))),and(b3,not(a1))) )],[refute_0_3764,refute_0_3807]) ).
cnf(refute_0_3809,plain,
( and(b3,not(or(a1,b1))) != d1
| or(and(b3,not(or(a1,b1))),and(not(or(a1,b1)),not(b3))) != not(or(a1,b1))
| or(d1,and(not(or(a1,b1)),not(b3))) = not(or(a1,b1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b3,not(or(a1,b1))),and(not(or(a1,b1)),not(b3))),not(or(a1,b1))) ),[0,0],$fot(d1)]]) ).
cnf(refute_0_3810,plain,
( or(and(b3,not(or(a1,b1))),and(not(or(a1,b1)),not(b3))) != not(or(a1,b1))
| or(d1,and(not(or(a1,b1)),not(b3))) = not(or(a1,b1)) ),
inference(resolve,[$cnf( $equal(and(b3,not(or(a1,b1))),d1) )],[refute_0_3808,refute_0_3809]) ).
cnf(refute_0_3811,plain,
or(d1,and(not(or(a1,b1)),not(b3))) = not(or(a1,b1)),
inference(resolve,[$cnf( $equal(or(and(b3,not(or(a1,b1))),and(not(or(a1,b1)),not(b3))),not(or(a1,b1))) )],[refute_0_3717,refute_0_3810]) ).
cnf(refute_0_3812,plain,
or(d1,n0) = d1,
inference(subst,[],[or_definition1:[bind(X,$fot(d1))]]) ).
cnf(refute_0_3813,plain,
or(a1,n1) = n1,
inference(subst,[],[or_definition2:[bind(X,$fot(a1))]]) ).
cnf(refute_0_3814,plain,
not(and(and(f1,f2),d1)) = or(b1,not(and(f1,f2))),
inference(subst,[],[refute_0_41:[bind(X_109,$fot(and(f1,f2)))]]) ).
cnf(refute_0_3815,plain,
( not(and(and(f1,f2),d1)) != or(b1,not(and(f1,f2)))
| not(and(f1,f2)) != or(i1,i2)
| not(and(and(f1,f2),d1)) = or(b1,or(i1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f1,f2),d1)),or(b1,not(and(f1,f2)))) ),[1,1],$fot(or(i1,i2))]]) ).
cnf(refute_0_3816,plain,
( not(and(and(f1,f2),d1)) != or(b1,not(and(f1,f2)))
| not(and(and(f1,f2),d1)) = or(b1,or(i1,i2)) ),
inference(resolve,[$cnf( $equal(not(and(f1,f2)),or(i1,i2)) )],[refute_0_563,refute_0_3815]) ).
cnf(refute_0_3817,plain,
not(and(and(f1,f2),d1)) = or(b1,or(i1,i2)),
inference(resolve,[$cnf( $equal(not(and(and(f1,f2),d1)),or(b1,not(and(f1,f2)))) )],[refute_0_3814,refute_0_3816]) ).
cnf(refute_0_3818,plain,
not(and(d1,and(f1,f2))) = not(and(d1,and(f1,f2))),
introduced(tautology,[refl,[$fot(not(and(d1,and(f1,f2))))]]) ).
cnf(refute_0_3819,plain,
( and(d1,and(f1,f2)) != n0
| not(and(d1,and(f1,f2))) != not(and(d1,and(f1,f2)))
| not(and(d1,and(f1,f2))) = not(n0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d1,and(f1,f2))),not(and(d1,and(f1,f2)))) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_3820,plain,
( and(d1,and(f1,f2)) != n0
| not(and(d1,and(f1,f2))) = not(n0) ),
inference(resolve,[$cnf( $equal(not(and(d1,and(f1,f2))),not(and(d1,and(f1,f2)))) )],[refute_0_3818,refute_0_3819]) ).
cnf(refute_0_3821,plain,
not(and(d1,and(f1,f2))) = not(n0),
inference(resolve,[$cnf( $equal(and(d1,and(f1,f2)),n0) )],[refute_0_1399,refute_0_3820]) ).
cnf(refute_0_3822,plain,
( not(and(d1,and(f1,f2))) != not(n0)
| not(n0) != n1
| not(and(d1,and(f1,f2))) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(d1,and(f1,f2))))),bind(Y0,$fot(not(n0))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_3823,plain,
( not(n0) != n1
| not(and(d1,and(f1,f2))) = n1 ),
inference(resolve,[$cnf( $equal(not(and(d1,and(f1,f2))),not(n0)) )],[refute_0_3821,refute_0_3822]) ).
cnf(refute_0_3824,plain,
not(and(d1,and(f1,f2))) = n1,
inference(resolve,[$cnf( $equal(not(n0),n1) )],[not_definition1,refute_0_3823]) ).
cnf(refute_0_3825,plain,
not(and(and(f1,f2),d1)) = not(and(d1,and(f1,f2))),
inference(subst,[],[refute_0_60:[bind(X_111,$fot(and(f1,f2)))]]) ).
cnf(refute_0_3826,plain,
( not(and(and(f1,f2),d1)) != not(and(d1,and(f1,f2)))
| not(and(d1,and(f1,f2))) != n1
| not(and(and(f1,f2),d1)) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(f1,f2),d1)))),bind(Y0,$fot(not(and(d1,and(f1,f2))))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_3827,plain,
( not(and(d1,and(f1,f2))) != n1
| not(and(and(f1,f2),d1)) = n1 ),
inference(resolve,[$cnf( $equal(not(and(and(f1,f2),d1)),not(and(d1,and(f1,f2)))) )],[refute_0_3825,refute_0_3826]) ).
cnf(refute_0_3828,plain,
not(and(and(f1,f2),d1)) = n1,
inference(resolve,[$cnf( $equal(not(and(d1,and(f1,f2))),n1) )],[refute_0_3824,refute_0_3827]) ).
cnf(refute_0_3829,plain,
( not(and(and(f1,f2),d1)) != n1
| not(and(and(f1,f2),d1)) != or(b1,or(i1,i2))
| n1 = or(b1,or(i1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(f1,f2),d1)),or(b1,or(i1,i2))) ),[0],$fot(n1)]]) ).
cnf(refute_0_3830,plain,
( not(and(and(f1,f2),d1)) != or(b1,or(i1,i2))
| n1 = or(b1,or(i1,i2)) ),
inference(resolve,[$cnf( $equal(not(and(and(f1,f2),d1)),n1) )],[refute_0_3828,refute_0_3829]) ).
cnf(refute_0_3831,plain,
n1 = or(b1,or(i1,i2)),
inference(resolve,[$cnf( $equal(not(and(and(f1,f2),d1)),or(b1,or(i1,i2))) )],[refute_0_3817,refute_0_3830]) ).
cnf(refute_0_3832,plain,
or(b1,or(i1,i2)) = or(b1,or(i1,i2)),
introduced(tautology,[refl,[$fot(or(b1,or(i1,i2)))]]) ).
cnf(refute_0_3833,plain,
( or(b1,or(i1,i2)) != or(b1,or(i1,i2))
| or(i1,i2) != or(c1,i2)
| or(b1,or(i1,i2)) = or(b1,or(c1,i2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(b1,or(i1,i2)),or(b1,or(i1,i2))) ),[1,1],$fot(or(c1,i2))]]) ).
cnf(refute_0_3834,plain,
( or(i1,i2) != or(c1,i2)
| or(b1,or(i1,i2)) = or(b1,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(or(b1,or(i1,i2)),or(b1,or(i1,i2))) )],[refute_0_3832,refute_0_3833]) ).
cnf(refute_0_3835,plain,
or(b1,or(i1,i2)) = or(b1,or(c1,i2)),
inference(resolve,[$cnf( $equal(or(i1,i2),or(c1,i2)) )],[refute_0_570,refute_0_3834]) ).
cnf(refute_0_3836,plain,
( n1 != or(b1,or(i1,i2))
| or(b1,or(i1,i2)) != or(b1,or(c1,i2))
| n1 = or(b1,or(c1,i2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(n1,or(b1,or(c1,i2))) ),[0],$fot(or(b1,or(i1,i2)))]]) ).
cnf(refute_0_3837,plain,
( n1 != or(b1,or(i1,i2))
| n1 = or(b1,or(c1,i2)) ),
inference(resolve,[$cnf( $equal(or(b1,or(i1,i2)),or(b1,or(c1,i2))) )],[refute_0_3835,refute_0_3836]) ).
cnf(refute_0_3838,plain,
n1 = or(b1,or(c1,i2)),
inference(resolve,[$cnf( $equal(n1,or(b1,or(i1,i2))) )],[refute_0_3831,refute_0_3837]) ).
cnf(refute_0_3839,plain,
or(b1,or(c1,i2)) = or(b1,or(c1,i2)),
introduced(tautology,[refl,[$fot(or(b1,or(c1,i2)))]]) ).
cnf(refute_0_3840,plain,
( or(b1,or(c1,i2)) != or(b1,or(c1,i2))
| or(c1,i2) != b3
| or(b1,or(c1,i2)) = or(b1,b3) ),
introduced(tautology,[equality,[$cnf( $equal(or(b1,or(c1,i2)),or(b1,or(c1,i2))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_3841,plain,
( or(c1,i2) != b3
| or(b1,or(c1,i2)) = or(b1,b3) ),
inference(resolve,[$cnf( $equal(or(b1,or(c1,i2)),or(b1,or(c1,i2))) )],[refute_0_3839,refute_0_3840]) ).
cnf(refute_0_3842,plain,
or(b1,or(c1,i2)) = or(b1,b3),
inference(resolve,[$cnf( $equal(or(c1,i2),b3) )],[refute_0_586,refute_0_3841]) ).
cnf(refute_0_3843,plain,
( n1 != or(b1,or(c1,i2))
| or(b1,or(c1,i2)) != or(b1,b3)
| n1 = or(b1,b3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(n1,or(b1,b3)) ),[0],$fot(or(b1,or(c1,i2)))]]) ).
cnf(refute_0_3844,plain,
( n1 != or(b1,or(c1,i2))
| n1 = or(b1,b3) ),
inference(resolve,[$cnf( $equal(or(b1,or(c1,i2)),or(b1,b3)) )],[refute_0_3842,refute_0_3843]) ).
cnf(refute_0_3845,plain,
n1 = or(b1,b3),
inference(resolve,[$cnf( $equal(n1,or(b1,or(c1,i2))) )],[refute_0_3838,refute_0_3844]) ).
cnf(refute_0_3846,plain,
( n1 != or(b1,b3)
| or(b1,b3) = n1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(or(b1,b3)))]]) ).
cnf(refute_0_3847,plain,
or(b1,b3) = n1,
inference(resolve,[$cnf( $equal(n1,or(b1,b3)) )],[refute_0_3845,refute_0_3846]) ).
cnf(refute_0_3848,plain,
or(a1,or(b1,b3)) = or(a1,or(b1,b3)),
introduced(tautology,[refl,[$fot(or(a1,or(b1,b3)))]]) ).
cnf(refute_0_3849,plain,
( or(a1,or(b1,b3)) != or(a1,or(b1,b3))
| or(b1,b3) != n1
| or(a1,or(b1,b3)) = or(a1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(or(a1,or(b1,b3)),or(a1,or(b1,b3))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_3850,plain,
( or(b1,b3) != n1
| or(a1,or(b1,b3)) = or(a1,n1) ),
inference(resolve,[$cnf( $equal(or(a1,or(b1,b3)),or(a1,or(b1,b3))) )],[refute_0_3848,refute_0_3849]) ).
cnf(refute_0_3851,plain,
or(a1,or(b1,b3)) = or(a1,n1),
inference(resolve,[$cnf( $equal(or(b1,b3),n1) )],[refute_0_3847,refute_0_3850]) ).
cnf(refute_0_3852,plain,
( or(a1,n1) != n1
| or(a1,or(b1,b3)) != or(a1,n1)
| or(a1,or(b1,b3)) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(a1,or(b1,b3)))),bind(Y0,$fot(or(a1,n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_3853,plain,
( or(a1,n1) != n1
| or(a1,or(b1,b3)) = n1 ),
inference(resolve,[$cnf( $equal(or(a1,or(b1,b3)),or(a1,n1)) )],[refute_0_3851,refute_0_3852]) ).
cnf(refute_0_3854,plain,
or(a1,or(b1,b3)) = n1,
inference(resolve,[$cnf( $equal(or(a1,n1),n1) )],[refute_0_3813,refute_0_3853]) ).
cnf(refute_0_3855,plain,
or(or(a1,b1),b3) = or(a1,or(b1,b3)),
inference(subst,[],[refute_0_65:[bind(X,$fot(a1)),bind(Y,$fot(b1)),bind(Z,$fot(b3))]]) ).
cnf(refute_0_3856,plain,
( or(a1,or(b1,b3)) != n1
| or(or(a1,b1),b3) != or(a1,or(b1,b3))
| or(or(a1,b1),b3) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(or(a1,b1),b3))),bind(Y0,$fot(or(a1,or(b1,b3)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_3857,plain,
( or(a1,or(b1,b3)) != n1
| or(or(a1,b1),b3) = n1 ),
inference(resolve,[$cnf( $equal(or(or(a1,b1),b3),or(a1,or(b1,b3))) )],[refute_0_3855,refute_0_3856]) ).
cnf(refute_0_3858,plain,
or(or(a1,b1),b3) = n1,
inference(resolve,[$cnf( $equal(or(a1,or(b1,b3)),n1) )],[refute_0_3854,refute_0_3857]) ).
cnf(refute_0_3859,plain,
not(or(or(a1,b1),b3)) = not(or(or(a1,b1),b3)),
introduced(tautology,[refl,[$fot(not(or(or(a1,b1),b3)))]]) ).
cnf(refute_0_3860,plain,
( not(or(or(a1,b1),b3)) != not(or(or(a1,b1),b3))
| or(or(a1,b1),b3) != n1
| not(or(or(a1,b1),b3)) = not(n1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(or(a1,b1),b3)),not(or(or(a1,b1),b3))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_3861,plain,
( or(or(a1,b1),b3) != n1
| not(or(or(a1,b1),b3)) = not(n1) ),
inference(resolve,[$cnf( $equal(not(or(or(a1,b1),b3)),not(or(or(a1,b1),b3))) )],[refute_0_3859,refute_0_3860]) ).
cnf(refute_0_3862,plain,
not(or(or(a1,b1),b3)) = not(n1),
inference(resolve,[$cnf( $equal(or(or(a1,b1),b3),n1) )],[refute_0_3858,refute_0_3861]) ).
cnf(refute_0_3863,plain,
( not(n1) != n0
| not(or(or(a1,b1),b3)) != not(n1)
| not(or(or(a1,b1),b3)) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(or(or(a1,b1),b3)))),bind(Y0,$fot(not(n1))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_3864,plain,
( not(n1) != n0
| not(or(or(a1,b1),b3)) = n0 ),
inference(resolve,[$cnf( $equal(not(or(or(a1,b1),b3)),not(n1)) )],[refute_0_3862,refute_0_3863]) ).
cnf(refute_0_3865,plain,
not(or(or(a1,b1),b3)) = n0,
inference(resolve,[$cnf( $equal(not(n1),n0) )],[not_definition2,refute_0_3864]) ).
cnf(refute_0_3866,plain,
and(not(or(a1,b1)),not(b3)) = not(or(or(a1,b1),b3)),
inference(subst,[],[refute_0_250:[bind(X,$fot(or(a1,b1))),bind(Y,$fot(b3))]]) ).
cnf(refute_0_3867,plain,
( and(not(or(a1,b1)),not(b3)) != not(or(or(a1,b1),b3))
| not(or(or(a1,b1),b3)) != n0
| and(not(or(a1,b1)),not(b3)) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(not(or(a1,b1)),not(b3)))),bind(Y0,$fot(not(or(or(a1,b1),b3)))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_3868,plain,
( not(or(or(a1,b1),b3)) != n0
| and(not(or(a1,b1)),not(b3)) = n0 ),
inference(resolve,[$cnf( $equal(and(not(or(a1,b1)),not(b3)),not(or(or(a1,b1),b3))) )],[refute_0_3866,refute_0_3867]) ).
cnf(refute_0_3869,plain,
and(not(or(a1,b1)),not(b3)) = n0,
inference(resolve,[$cnf( $equal(not(or(or(a1,b1),b3)),n0) )],[refute_0_3865,refute_0_3868]) ).
cnf(refute_0_3870,plain,
or(d1,and(not(or(a1,b1)),not(b3))) = or(d1,and(not(or(a1,b1)),not(b3))),
introduced(tautology,[refl,[$fot(or(d1,and(not(or(a1,b1)),not(b3))))]]) ).
cnf(refute_0_3871,plain,
( and(not(or(a1,b1)),not(b3)) != n0
| or(d1,and(not(or(a1,b1)),not(b3))) != or(d1,and(not(or(a1,b1)),not(b3)))
| or(d1,and(not(or(a1,b1)),not(b3))) = or(d1,n0) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,and(not(or(a1,b1)),not(b3))),or(d1,and(not(or(a1,b1)),not(b3)))) ),[1,1],$fot(n0)]]) ).
cnf(refute_0_3872,plain,
( and(not(or(a1,b1)),not(b3)) != n0
| or(d1,and(not(or(a1,b1)),not(b3))) = or(d1,n0) ),
inference(resolve,[$cnf( $equal(or(d1,and(not(or(a1,b1)),not(b3))),or(d1,and(not(or(a1,b1)),not(b3)))) )],[refute_0_3870,refute_0_3871]) ).
cnf(refute_0_3873,plain,
or(d1,and(not(or(a1,b1)),not(b3))) = or(d1,n0),
inference(resolve,[$cnf( $equal(and(not(or(a1,b1)),not(b3)),n0) )],[refute_0_3869,refute_0_3872]) ).
cnf(refute_0_3874,plain,
( or(d1,and(not(or(a1,b1)),not(b3))) != or(d1,n0)
| or(d1,n0) != d1
| or(d1,and(not(or(a1,b1)),not(b3))) = d1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d1,and(not(or(a1,b1)),not(b3))))),bind(Y0,$fot(or(d1,n0))),bind(Z0,$fot(d1))]]) ).
cnf(refute_0_3875,plain,
( or(d1,n0) != d1
| or(d1,and(not(or(a1,b1)),not(b3))) = d1 ),
inference(resolve,[$cnf( $equal(or(d1,and(not(or(a1,b1)),not(b3))),or(d1,n0)) )],[refute_0_3873,refute_0_3874]) ).
cnf(refute_0_3876,plain,
or(d1,and(not(or(a1,b1)),not(b3))) = d1,
inference(resolve,[$cnf( $equal(or(d1,n0),d1) )],[refute_0_3812,refute_0_3875]) ).
cnf(refute_0_3877,plain,
( or(d1,and(not(or(a1,b1)),not(b3))) != d1
| or(d1,and(not(or(a1,b1)),not(b3))) != not(or(a1,b1))
| d1 = not(or(a1,b1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,and(not(or(a1,b1)),not(b3))),not(or(a1,b1))) ),[0],$fot(d1)]]) ).
cnf(refute_0_3878,plain,
( or(d1,and(not(or(a1,b1)),not(b3))) != not(or(a1,b1))
| d1 = not(or(a1,b1)) ),
inference(resolve,[$cnf( $equal(or(d1,and(not(or(a1,b1)),not(b3))),d1) )],[refute_0_3876,refute_0_3877]) ).
cnf(refute_0_3879,plain,
d1 = not(or(a1,b1)),
inference(resolve,[$cnf( $equal(or(d1,and(not(or(a1,b1)),not(b3))),not(or(a1,b1))) )],[refute_0_3811,refute_0_3878]) ).
cnf(refute_0_3880,plain,
( d1 != not(or(a1,b1))
| not(or(a1,b1)) = d1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d1)),bind(Y0,$fot(not(or(a1,b1))))]]) ).
cnf(refute_0_3881,plain,
not(or(a1,b1)) = d1,
inference(resolve,[$cnf( $equal(d1,not(or(a1,b1))) )],[refute_0_3879,refute_0_3880]) ).
cnf(refute_0_3882,plain,
( not(and(or(a1,b1),Y)) != or(not(or(a1,b1)),not(Y))
| not(or(a1,b1)) != d1
| not(and(or(a1,b1),Y)) = or(d1,not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a1,b1),Y)),or(not(or(a1,b1)),not(Y))) ),[1,0],$fot(d1)]]) ).
cnf(refute_0_3883,plain,
( not(and(or(a1,b1),Y)) != or(not(or(a1,b1)),not(Y))
| not(and(or(a1,b1),Y)) = or(d1,not(Y)) ),
inference(resolve,[$cnf( $equal(not(or(a1,b1)),d1) )],[refute_0_3881,refute_0_3882]) ).
cnf(refute_0_3884,plain,
not(and(or(a1,b1),Y)) = or(d1,not(Y)),
inference(resolve,[$cnf( $equal(not(and(or(a1,b1),Y)),or(not(or(a1,b1)),not(Y))) )],[refute_0_3716,refute_0_3883]) ).
cnf(refute_0_3885,plain,
or(d1,not(Y)) = not(and(Y,b1)),
inference(subst,[],[refute_0_878:[bind(X_109,$fot(Y))]]) ).
cnf(refute_0_3886,plain,
( not(and(or(a1,b1),Y)) != or(d1,not(Y))
| or(d1,not(Y)) != not(and(Y,b1))
| not(and(or(a1,b1),Y)) = not(and(Y,b1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(or(a1,b1),Y)),not(and(Y,b1))) ),[0],$fot(or(d1,not(Y)))]]) ).
cnf(refute_0_3887,plain,
( not(and(or(a1,b1),Y)) != or(d1,not(Y))
| not(and(or(a1,b1),Y)) = not(and(Y,b1)) ),
inference(resolve,[$cnf( $equal(or(d1,not(Y)),not(and(Y,b1))) )],[refute_0_3885,refute_0_3886]) ).
cnf(refute_0_3888,plain,
not(and(or(a1,b1),Y)) = not(and(Y,b1)),
inference(resolve,[$cnf( $equal(not(and(or(a1,b1),Y)),or(d1,not(Y))) )],[refute_0_3884,refute_0_3887]) ).
cnf(refute_0_3889,plain,
not(not(or(a1,b1))) = or(a1,b1),
inference(subst,[],[not_simplification:[bind(X,$fot(or(a1,b1)))]]) ).
cnf(refute_0_3890,plain,
( not(not(or(a1,b1))) != or(a1,b1)
| not(or(a1,b1)) != d1
| not(d1) = or(a1,b1) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(or(a1,b1))),or(a1,b1)) ),[0,0],$fot(d1)]]) ).
cnf(refute_0_3891,plain,
( not(not(or(a1,b1))) != or(a1,b1)
| not(d1) = or(a1,b1) ),
inference(resolve,[$cnf( $equal(not(or(a1,b1)),d1) )],[refute_0_3881,refute_0_3890]) ).
cnf(refute_0_3892,plain,
not(d1) = or(a1,b1),
inference(resolve,[$cnf( $equal(not(not(or(a1,b1))),or(a1,b1)) )],[refute_0_3889,refute_0_3891]) ).
cnf(refute_0_3893,plain,
( not(d1) != b1
| not(d1) != or(a1,b1)
| b1 = or(a1,b1) ),
introduced(tautology,[equality,[$cnf( $equal(not(d1),or(a1,b1)) ),[0],$fot(b1)]]) ).
cnf(refute_0_3894,plain,
( not(d1) != or(a1,b1)
| b1 = or(a1,b1) ),
inference(resolve,[$cnf( $equal(not(d1),b1) )],[refute_0_32,refute_0_3893]) ).
cnf(refute_0_3895,plain,
b1 = or(a1,b1),
inference(resolve,[$cnf( $equal(not(d1),or(a1,b1)) )],[refute_0_3892,refute_0_3894]) ).
cnf(refute_0_3896,plain,
( b1 != or(a1,b1)
| or(a1,b1) = b1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(b1)),bind(Y0,$fot(or(a1,b1)))]]) ).
cnf(refute_0_3897,plain,
or(a1,b1) = b1,
inference(resolve,[$cnf( $equal(b1,or(a1,b1)) )],[refute_0_3895,refute_0_3896]) ).
cnf(refute_0_3898,plain,
and(or(a1,b1),Y) = and(or(a1,b1),Y),
introduced(tautology,[refl,[$fot(and(or(a1,b1),Y))]]) ).
cnf(refute_0_3899,plain,
( and(or(a1,b1),Y) != and(or(a1,b1),Y)
| or(a1,b1) != b1
| and(or(a1,b1),Y) = and(b1,Y) ),
introduced(tautology,[equality,[$cnf( $equal(and(or(a1,b1),Y),and(or(a1,b1),Y)) ),[1,0],$fot(b1)]]) ).
cnf(refute_0_3900,plain,
( or(a1,b1) != b1
| and(or(a1,b1),Y) = and(b1,Y) ),
inference(resolve,[$cnf( $equal(and(or(a1,b1),Y),and(or(a1,b1),Y)) )],[refute_0_3898,refute_0_3899]) ).
cnf(refute_0_3901,plain,
and(or(a1,b1),Y) = and(b1,Y),
inference(resolve,[$cnf( $equal(or(a1,b1),b1) )],[refute_0_3897,refute_0_3900]) ).
cnf(refute_0_3902,plain,
not(and(or(a1,b1),Y)) = not(and(or(a1,b1),Y)),
introduced(tautology,[refl,[$fot(not(and(or(a1,b1),Y)))]]) ).
cnf(refute_0_3903,plain,
( and(or(a1,b1),Y) != and(b1,Y)
| not(and(or(a1,b1),Y)) != not(and(or(a1,b1),Y))
| not(and(or(a1,b1),Y)) = not(and(b1,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a1,b1),Y)),not(and(or(a1,b1),Y))) ),[1,0],$fot(and(b1,Y))]]) ).
cnf(refute_0_3904,plain,
( and(or(a1,b1),Y) != and(b1,Y)
| not(and(or(a1,b1),Y)) = not(and(b1,Y)) ),
inference(resolve,[$cnf( $equal(not(and(or(a1,b1),Y)),not(and(or(a1,b1),Y))) )],[refute_0_3902,refute_0_3903]) ).
cnf(refute_0_3905,plain,
not(and(or(a1,b1),Y)) = not(and(b1,Y)),
inference(resolve,[$cnf( $equal(and(or(a1,b1),Y),and(b1,Y)) )],[refute_0_3901,refute_0_3904]) ).
cnf(refute_0_3906,plain,
( not(and(or(a1,b1),Y)) != not(and(Y,b1))
| not(and(or(a1,b1),Y)) != not(and(b1,Y))
| not(and(b1,Y)) = not(and(Y,b1)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(or(a1,b1),Y)),not(and(Y,b1))) ),[0],$fot(not(and(b1,Y)))]]) ).
cnf(refute_0_3907,plain,
( not(and(or(a1,b1),Y)) != not(and(Y,b1))
| not(and(b1,Y)) = not(and(Y,b1)) ),
inference(resolve,[$cnf( $equal(not(and(or(a1,b1),Y)),not(and(b1,Y))) )],[refute_0_3905,refute_0_3906]) ).
cnf(refute_0_3908,plain,
not(and(b1,Y)) = not(and(Y,b1)),
inference(resolve,[$cnf( $equal(not(and(or(a1,b1),Y)),not(and(Y,b1))) )],[refute_0_3888,refute_0_3907]) ).
cnf(refute_0_3909,plain,
( not(and(b1,Y)) != not(and(Y,b1))
| not(and(Y,b1)) = not(and(b1,Y)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(not(and(b1,Y)))),bind(Y0,$fot(not(and(Y,b1))))]]) ).
cnf(refute_0_3910,plain,
not(and(Y,b1)) = not(and(b1,Y)),
inference(resolve,[$cnf( $equal(not(and(b1,Y)),not(and(Y,b1))) )],[refute_0_3908,refute_0_3909]) ).
cnf(refute_0_3911,plain,
not(and(and(b3,f1),b1)) = not(and(b1,and(b3,f1))),
inference(subst,[],[refute_0_3910:[bind(Y,$fot(and(b3,f1)))]]) ).
cnf(refute_0_3912,plain,
( not(and(and(b3,f1),b1)) != not(and(b1,and(b3,f1)))
| not(and(b1,and(b3,f1))) != not(and(a1,f1))
| not(and(and(b3,f1),b1)) = not(and(a1,f1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(b3,f1),b1)))),bind(Y0,$fot(not(and(b1,and(b3,f1))))),bind(Z0,$fot(not(and(a1,f1))))]]) ).
cnf(refute_0_3913,plain,
( not(and(b1,and(b3,f1))) != not(and(a1,f1))
| not(and(and(b3,f1),b1)) = not(and(a1,f1)) ),
inference(resolve,[$cnf( $equal(not(and(and(b3,f1),b1)),not(and(b1,and(b3,f1)))) )],[refute_0_3911,refute_0_3912]) ).
cnf(refute_0_3914,plain,
not(and(and(b3,f1),b1)) = not(and(a1,f1)),
inference(resolve,[$cnf( $equal(not(and(b1,and(b3,f1))),not(and(a1,f1))) )],[refute_0_3715,refute_0_3913]) ).
cnf(refute_0_3915,plain,
or(d1,not(and(b3,f1))) = not(and(and(b3,f1),b1)),
inference(subst,[],[refute_0_878:[bind(X_109,$fot(and(b3,f1)))]]) ).
cnf(refute_0_3916,plain,
( not(and(and(b3,f1),b1)) != not(and(a1,f1))
| or(d1,not(and(b3,f1))) != not(and(and(b3,f1),b1))
| or(d1,not(and(b3,f1))) = not(and(a1,f1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d1,not(and(b3,f1))))),bind(Y0,$fot(not(and(and(b3,f1),b1)))),bind(Z0,$fot(not(and(a1,f1))))]]) ).
cnf(refute_0_3917,plain,
( not(and(and(b3,f1),b1)) != not(and(a1,f1))
| or(d1,not(and(b3,f1))) = not(and(a1,f1)) ),
inference(resolve,[$cnf( $equal(or(d1,not(and(b3,f1))),not(and(and(b3,f1),b1))) )],[refute_0_3915,refute_0_3916]) ).
cnf(refute_0_3918,plain,
or(d1,not(and(b3,f1))) = not(and(a1,f1)),
inference(resolve,[$cnf( $equal(not(and(and(b3,f1),b1)),not(and(a1,f1))) )],[refute_0_3914,refute_0_3917]) ).
cnf(refute_0_3919,plain,
or(c1,not(b3)) = not(and(b3,f1)),
inference(subst,[],[refute_0_2361:[bind(X_109,$fot(b3))]]) ).
cnf(refute_0_3920,plain,
or(c1,and(b1,f2)) = or(c1,and(b1,f2)),
introduced(tautology,[refl,[$fot(or(c1,and(b1,f2)))]]) ).
cnf(refute_0_3921,plain,
( and(b1,f2) != not(b3)
| or(c1,and(b1,f2)) != or(c1,and(b1,f2))
| or(c1,and(b1,f2)) = or(c1,not(b3)) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(b1,f2)),or(c1,and(b1,f2))) ),[1,1],$fot(not(b3))]]) ).
cnf(refute_0_3922,plain,
( and(b1,f2) != not(b3)
| or(c1,and(b1,f2)) = or(c1,not(b3)) ),
inference(resolve,[$cnf( $equal(or(c1,and(b1,f2)),or(c1,and(b1,f2))) )],[refute_0_3920,refute_0_3921]) ).
cnf(refute_0_3923,plain,
or(c1,and(b1,f2)) = or(c1,not(b3)),
inference(resolve,[$cnf( $equal(and(b1,f2),not(b3)) )],[refute_0_1448,refute_0_3922]) ).
cnf(refute_0_3924,plain,
( or(c1,and(b1,f2)) != or(c1,not(b3))
| or(c1,not(b3)) != not(and(b3,f1))
| or(c1,and(b1,f2)) = not(and(b3,f1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(c1,and(b1,f2)))),bind(Y0,$fot(or(c1,not(b3)))),bind(Z0,$fot(not(and(b3,f1))))]]) ).
cnf(refute_0_3925,plain,
( or(c1,not(b3)) != not(and(b3,f1))
| or(c1,and(b1,f2)) = not(and(b3,f1)) ),
inference(resolve,[$cnf( $equal(or(c1,and(b1,f2)),or(c1,not(b3))) )],[refute_0_3923,refute_0_3924]) ).
cnf(refute_0_3926,plain,
or(c1,and(b1,f2)) = not(and(b3,f1)),
inference(resolve,[$cnf( $equal(or(c1,not(b3)),not(and(b3,f1))) )],[refute_0_3919,refute_0_3925]) ).
cnf(refute_0_3927,plain,
or(d1,or(c1,and(b1,f2))) = or(d1,or(c1,and(b1,f2))),
introduced(tautology,[refl,[$fot(or(d1,or(c1,and(b1,f2))))]]) ).
cnf(refute_0_3928,plain,
( or(c1,and(b1,f2)) != not(and(b3,f1))
| or(d1,or(c1,and(b1,f2))) != or(d1,or(c1,and(b1,f2)))
| or(d1,or(c1,and(b1,f2))) = or(d1,not(and(b3,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(or(d1,or(c1,and(b1,f2))),or(d1,or(c1,and(b1,f2)))) ),[1,1],$fot(not(and(b3,f1)))]]) ).
cnf(refute_0_3929,plain,
( or(c1,and(b1,f2)) != not(and(b3,f1))
| or(d1,or(c1,and(b1,f2))) = or(d1,not(and(b3,f1))) ),
inference(resolve,[$cnf( $equal(or(d1,or(c1,and(b1,f2))),or(d1,or(c1,and(b1,f2)))) )],[refute_0_3927,refute_0_3928]) ).
cnf(refute_0_3930,plain,
or(d1,or(c1,and(b1,f2))) = or(d1,not(and(b3,f1))),
inference(resolve,[$cnf( $equal(or(c1,and(b1,f2)),not(and(b3,f1))) )],[refute_0_3926,refute_0_3929]) ).
cnf(refute_0_3931,plain,
( or(d1,not(and(b3,f1))) != not(and(a1,f1))
| or(d1,or(c1,and(b1,f2))) != or(d1,not(and(b3,f1)))
| or(d1,or(c1,and(b1,f2))) = not(and(a1,f1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d1,or(c1,and(b1,f2))))),bind(Y0,$fot(or(d1,not(and(b3,f1))))),bind(Z0,$fot(not(and(a1,f1))))]]) ).
cnf(refute_0_3932,plain,
( or(d1,not(and(b3,f1))) != not(and(a1,f1))
| or(d1,or(c1,and(b1,f2))) = not(and(a1,f1)) ),
inference(resolve,[$cnf( $equal(or(d1,or(c1,and(b1,f2))),or(d1,not(and(b3,f1)))) )],[refute_0_3930,refute_0_3931]) ).
cnf(refute_0_3933,plain,
or(d1,or(c1,and(b1,f2))) = not(and(a1,f1)),
inference(resolve,[$cnf( $equal(or(d1,not(and(b3,f1))),not(and(a1,f1))) )],[refute_0_3918,refute_0_3932]) ).
cnf(refute_0_3934,plain,
not(or(d1,or(c1,and(b1,f2)))) = not(or(d1,or(c1,and(b1,f2)))),
introduced(tautology,[refl,[$fot(not(or(d1,or(c1,and(b1,f2)))))]]) ).
cnf(refute_0_3935,plain,
( not(or(d1,or(c1,and(b1,f2)))) != not(or(d1,or(c1,and(b1,f2))))
| or(d1,or(c1,and(b1,f2))) != not(and(a1,f1))
| not(or(d1,or(c1,and(b1,f2)))) = not(not(and(a1,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d1,or(c1,and(b1,f2)))),not(or(d1,or(c1,and(b1,f2))))) ),[1,0],$fot(not(and(a1,f1)))]]) ).
cnf(refute_0_3936,plain,
( or(d1,or(c1,and(b1,f2))) != not(and(a1,f1))
| not(or(d1,or(c1,and(b1,f2)))) = not(not(and(a1,f1))) ),
inference(resolve,[$cnf( $equal(not(or(d1,or(c1,and(b1,f2)))),not(or(d1,or(c1,and(b1,f2))))) )],[refute_0_3934,refute_0_3935]) ).
cnf(refute_0_3937,plain,
not(or(d1,or(c1,and(b1,f2)))) = not(not(and(a1,f1))),
inference(resolve,[$cnf( $equal(or(d1,or(c1,and(b1,f2))),not(and(a1,f1))) )],[refute_0_3933,refute_0_3936]) ).
cnf(refute_0_3938,plain,
( not(not(and(a1,f1))) != and(a1,f1)
| not(or(d1,or(c1,and(b1,f2)))) != not(not(and(a1,f1)))
| not(or(d1,or(c1,and(b1,f2)))) = and(a1,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(or(d1,or(c1,and(b1,f2)))))),bind(Y0,$fot(not(not(and(a1,f1))))),bind(Z0,$fot(and(a1,f1)))]]) ).
cnf(refute_0_3939,plain,
( not(not(and(a1,f1))) != and(a1,f1)
| not(or(d1,or(c1,and(b1,f2)))) = and(a1,f1) ),
inference(resolve,[$cnf( $equal(not(or(d1,or(c1,and(b1,f2)))),not(not(and(a1,f1)))) )],[refute_0_3937,refute_0_3938]) ).
cnf(refute_0_3940,plain,
not(or(d1,or(c1,and(b1,f2)))) = and(a1,f1),
inference(resolve,[$cnf( $equal(not(not(and(a1,f1))),and(a1,f1)) )],[refute_0_3602,refute_0_3939]) ).
cnf(refute_0_3941,plain,
( not(or(d1,or(c1,and(b1,f2)))) != and(a1,f1)
| not(or(d1,or(c1,and(b1,f2)))) != and(b1,and(f1,or(c2,d1)))
| and(a1,f1) = and(b1,and(f1,or(c2,d1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d1,or(c1,and(b1,f2)))),and(b1,and(f1,or(c2,d1)))) ),[0],$fot(and(a1,f1))]]) ).
cnf(refute_0_3942,plain,
( not(or(d1,or(c1,and(b1,f2)))) != and(b1,and(f1,or(c2,d1)))
| and(a1,f1) = and(b1,and(f1,or(c2,d1))) ),
inference(resolve,[$cnf( $equal(not(or(d1,or(c1,and(b1,f2)))),and(a1,f1)) )],[refute_0_3940,refute_0_3941]) ).
cnf(refute_0_3943,plain,
and(f1,or(c2,d1)) = and(f1,or(c2,d1)),
introduced(tautology,[refl,[$fot(and(f1,or(c2,d1)))]]) ).
cnf(refute_0_3944,plain,
( and(f1,or(c2,d1)) != and(f1,or(c2,d1))
| or(c2,d1) != b3
| and(f1,or(c2,d1)) = and(f1,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,or(c2,d1)),and(f1,or(c2,d1))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_3945,plain,
( or(c2,d1) != b3
| and(f1,or(c2,d1)) = and(f1,b3) ),
inference(resolve,[$cnf( $equal(and(f1,or(c2,d1)),and(f1,or(c2,d1))) )],[refute_0_3943,refute_0_3944]) ).
cnf(refute_0_3946,plain,
and(f1,or(c2,d1)) = and(f1,b3),
inference(resolve,[$cnf( $equal(or(c2,d1),b3) )],[refute_0_1551,refute_0_3945]) ).
cnf(refute_0_3947,plain,
( and(f1,b3) != and(b3,f1)
| and(f1,or(c2,d1)) != and(f1,b3)
| and(f1,or(c2,d1)) = and(b3,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f1,or(c2,d1)))),bind(Y0,$fot(and(f1,b3))),bind(Z0,$fot(and(b3,f1)))]]) ).
cnf(refute_0_3948,plain,
( and(f1,b3) != and(b3,f1)
| and(f1,or(c2,d1)) = and(b3,f1) ),
inference(resolve,[$cnf( $equal(and(f1,or(c2,d1)),and(f1,b3)) )],[refute_0_3946,refute_0_3947]) ).
cnf(refute_0_3949,plain,
and(f1,or(c2,d1)) = and(b3,f1),
inference(resolve,[$cnf( $equal(and(f1,b3),and(b3,f1)) )],[refute_0_3199,refute_0_3948]) ).
cnf(refute_0_3950,plain,
and(b1,and(f1,or(c2,d1))) = and(b1,and(f1,or(c2,d1))),
introduced(tautology,[refl,[$fot(and(b1,and(f1,or(c2,d1))))]]) ).
cnf(refute_0_3951,plain,
( and(b1,and(f1,or(c2,d1))) != and(b1,and(f1,or(c2,d1)))
| and(f1,or(c2,d1)) != and(b3,f1)
| and(b1,and(f1,or(c2,d1))) = and(b1,and(b3,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(f1,or(c2,d1))),and(b1,and(f1,or(c2,d1)))) ),[1,1],$fot(and(b3,f1))]]) ).
cnf(refute_0_3952,plain,
( and(f1,or(c2,d1)) != and(b3,f1)
| and(b1,and(f1,or(c2,d1))) = and(b1,and(b3,f1)) ),
inference(resolve,[$cnf( $equal(and(b1,and(f1,or(c2,d1))),and(b1,and(f1,or(c2,d1)))) )],[refute_0_3950,refute_0_3951]) ).
cnf(refute_0_3953,plain,
and(b1,and(f1,or(c2,d1))) = and(b1,and(b3,f1)),
inference(resolve,[$cnf( $equal(and(f1,or(c2,d1)),and(b3,f1)) )],[refute_0_3949,refute_0_3952]) ).
cnf(refute_0_3954,plain,
( and(a1,f1) != and(b1,and(f1,or(c2,d1)))
| and(b1,and(f1,or(c2,d1))) != and(b1,and(b3,f1))
| and(a1,f1) = and(b1,and(b3,f1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(a1,f1),and(b1,and(b3,f1))) ),[0],$fot(and(b1,and(f1,or(c2,d1))))]]) ).
cnf(refute_0_3955,plain,
( and(a1,f1) != and(b1,and(f1,or(c2,d1)))
| and(a1,f1) = and(b1,and(b3,f1)) ),
inference(resolve,[$cnf( $equal(and(b1,and(f1,or(c2,d1))),and(b1,and(b3,f1))) )],[refute_0_3953,refute_0_3954]) ).
cnf(refute_0_3956,plain,
( not(or(d1,or(c1,and(b1,f2)))) != and(b1,and(f1,or(c2,d1)))
| and(a1,f1) = and(b1,and(b3,f1)) ),
inference(resolve,[$cnf( $equal(and(a1,f1),and(b1,and(f1,or(c2,d1)))) )],[refute_0_3942,refute_0_3955]) ).
cnf(refute_0_3957,plain,
and(a1,f1) = and(b1,and(b3,f1)),
inference(resolve,[$cnf( $equal(not(or(d1,or(c1,and(b1,f2)))),and(b1,and(f1,or(c2,d1)))) )],[refute_0_3601,refute_0_3956]) ).
cnf(refute_0_3958,plain,
( and(a1,f1) != and(b1,and(b3,f1))
| and(b1,and(b3,f1)) = and(a1,f1) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(a1,f1))),bind(Y0,$fot(and(b1,and(b3,f1))))]]) ).
cnf(refute_0_3959,plain,
and(b1,and(b3,f1)) = and(a1,f1),
inference(resolve,[$cnf( $equal(and(a1,f1),and(b1,and(b3,f1))) )],[refute_0_3957,refute_0_3958]) ).
cnf(refute_0_3960,plain,
and(b1,and(c2,f1)) = and(b1,and(c2,f1)),
introduced(tautology,[refl,[$fot(and(b1,and(c2,f1)))]]) ).
cnf(refute_0_3961,plain,
( and(b1,and(c2,f1)) != and(b1,and(c2,f1))
| and(c2,f1) != and(b3,f1)
| and(b1,and(c2,f1)) = and(b1,and(b3,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b1,and(c2,f1)),and(b1,and(c2,f1))) ),[1,1],$fot(and(b3,f1))]]) ).
cnf(refute_0_3962,plain,
( and(c2,f1) != and(b3,f1)
| and(b1,and(c2,f1)) = and(b1,and(b3,f1)) ),
inference(resolve,[$cnf( $equal(and(b1,and(c2,f1)),and(b1,and(c2,f1))) )],[refute_0_3960,refute_0_3961]) ).
cnf(refute_0_3963,plain,
and(b1,and(c2,f1)) = and(b1,and(b3,f1)),
inference(resolve,[$cnf( $equal(and(c2,f1),and(b3,f1)) )],[refute_0_3572,refute_0_3962]) ).
cnf(refute_0_3964,plain,
( and(b1,and(b3,f1)) != and(a1,f1)
| and(b1,and(c2,f1)) != and(b1,and(b3,f1))
| and(b1,and(c2,f1)) = and(a1,f1) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b1,and(c2,f1)))),bind(Y0,$fot(and(b1,and(b3,f1)))),bind(Z0,$fot(and(a1,f1)))]]) ).
cnf(refute_0_3965,plain,
( and(b1,and(b3,f1)) != and(a1,f1)
| and(b1,and(c2,f1)) = and(a1,f1) ),
inference(resolve,[$cnf( $equal(and(b1,and(c2,f1)),and(b1,and(b3,f1))) )],[refute_0_3963,refute_0_3964]) ).
cnf(refute_0_3966,plain,
and(b1,and(c2,f1)) = and(a1,f1),
inference(resolve,[$cnf( $equal(and(b1,and(b3,f1)),and(a1,f1)) )],[refute_0_3959,refute_0_3965]) ).
cnf(refute_0_3967,plain,
( and(b1,and(c2,f1)) != and(a1,f1)
| and(b3,f1) != and(b1,and(c2,f1))
| and(b3,f1) = and(a1,f1) ),
introduced(tautology,[equality,[$cnf( $equal(and(b3,f1),and(b1,and(c2,f1))) ),[1],$fot(and(a1,f1))]]) ).
cnf(refute_0_3968,plain,
( and(b3,f1) != and(b1,and(c2,f1))
| and(b3,f1) = and(a1,f1) ),
inference(resolve,[$cnf( $equal(and(b1,and(c2,f1)),and(a1,f1)) )],[refute_0_3966,refute_0_3967]) ).
cnf(refute_0_3969,plain,
( and(c2,f1) != and(b1,and(c2,f1))
| and(b3,f1) = and(a1,f1) ),
inference(resolve,[$cnf( $equal(and(b3,f1),and(b1,and(c2,f1))) )],[refute_0_3574,refute_0_3968]) ).
cnf(refute_0_3970,plain,
and(b3,f1) = and(a1,f1),
inference(resolve,[$cnf( $equal(and(c2,f1),and(b1,and(c2,f1))) )],[refute_0_3385,refute_0_3969]) ).
cnf(refute_0_3971,plain,
or(c1,and(b3,f1)) = or(c1,and(b3,f1)),
introduced(tautology,[refl,[$fot(or(c1,and(b3,f1)))]]) ).
cnf(refute_0_3972,plain,
( and(b3,f1) != and(a1,f1)
| or(c1,and(b3,f1)) != or(c1,and(b3,f1))
| or(c1,and(b3,f1)) = or(c1,and(a1,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(b3,f1)),or(c1,and(b3,f1))) ),[1,1],$fot(and(a1,f1))]]) ).
cnf(refute_0_3973,plain,
( and(b3,f1) != and(a1,f1)
| or(c1,and(b3,f1)) = or(c1,and(a1,f1)) ),
inference(resolve,[$cnf( $equal(or(c1,and(b3,f1)),or(c1,and(b3,f1))) )],[refute_0_3971,refute_0_3972]) ).
cnf(refute_0_3974,plain,
or(c1,and(b3,f1)) = or(c1,and(a1,f1)),
inference(resolve,[$cnf( $equal(and(b3,f1),and(a1,f1)) )],[refute_0_3970,refute_0_3973]) ).
cnf(refute_0_3975,plain,
( or(c1,and(b3,f1)) != b3
| or(c1,and(b3,f1)) != or(c1,and(a1,f1))
| or(c1,and(a1,f1)) = b3 ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(b3,f1)),b3) ),[0],$fot(or(c1,and(a1,f1)))]]) ).
cnf(refute_0_3976,plain,
( or(c1,and(b3,f1)) != b3
| or(c1,and(a1,f1)) = b3 ),
inference(resolve,[$cnf( $equal(or(c1,and(b3,f1)),or(c1,and(a1,f1))) )],[refute_0_3974,refute_0_3975]) ).
cnf(refute_0_3977,plain,
or(c1,and(a1,f1)) = b3,
inference(resolve,[$cnf( $equal(or(c1,and(b3,f1)),b3) )],[refute_0_3216,refute_0_3976]) ).
cnf(refute_0_3978,plain,
or(and(b2,and(a1,f1)),and(and(a1,f1),not(b2))) = and(a1,f1),
inference(subst,[],[and_or_not_simplification2:[bind(X,$fot(b2)),bind(Y,$fot(and(a1,f1)))]]) ).
cnf(refute_0_3979,plain,
not(not(and(b2,and(b1,and(c2,f1))))) = and(b2,and(b1,and(c2,f1))),
inference(subst,[],[not_simplification:[bind(X,$fot(and(b2,and(b1,and(c2,f1)))))]]) ).
cnf(refute_0_3980,plain,
not(and(and(b1,and(c2,f1)),b2)) = or(d2,not(and(b1,and(c2,f1)))),
inference(subst,[],[refute_0_2318:[bind(X_109,$fot(and(b1,and(c2,f1))))]]) ).
cnf(refute_0_3981,plain,
( not(and(and(b1,and(c2,f1)),b2)) != or(d2,not(and(b1,and(c2,f1))))
| not(and(b1,and(c2,f1))) != or(d1,or(c1,f2))
| not(and(and(b1,and(c2,f1)),b2)) = or(d2,or(d1,or(c1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,and(c2,f1)),b2)),or(d2,not(and(b1,and(c2,f1))))) ),[1,1],$fot(or(d1,or(c1,f2)))]]) ).
cnf(refute_0_3982,plain,
( not(and(and(b1,and(c2,f1)),b2)) != or(d2,not(and(b1,and(c2,f1))))
| not(and(and(b1,and(c2,f1)),b2)) = or(d2,or(d1,or(c1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(b1,and(c2,f1))),or(d1,or(c1,f2))) )],[refute_0_3248,refute_0_3981]) ).
cnf(refute_0_3983,plain,
not(and(and(b1,and(c2,f1)),b2)) = or(d2,or(d1,or(c1,f2))),
inference(resolve,[$cnf( $equal(not(and(and(b1,and(c2,f1)),b2)),or(d2,not(and(b1,and(c2,f1))))) )],[refute_0_3980,refute_0_3982]) ).
cnf(refute_0_3984,plain,
not(and(and(b1,and(c2,f1)),b2)) = not(and(b2,and(b1,and(c2,f1)))),
inference(subst,[],[refute_0_2345:[bind(X_118,$fot(and(b1,and(c2,f1))))]]) ).
cnf(refute_0_3985,plain,
( not(and(and(b1,and(c2,f1)),b2)) != not(and(b2,and(b1,and(c2,f1))))
| not(and(and(b1,and(c2,f1)),b2)) != or(d2,or(d1,or(c1,f2)))
| not(and(b2,and(b1,and(c2,f1)))) = or(d2,or(d1,or(c1,f2))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b1,and(c2,f1)),b2)),or(d2,or(d1,or(c1,f2)))) ),[0],$fot(not(and(b2,and(b1,and(c2,f1)))))]]) ).
cnf(refute_0_3986,plain,
( not(and(and(b1,and(c2,f1)),b2)) != or(d2,or(d1,or(c1,f2)))
| not(and(b2,and(b1,and(c2,f1)))) = or(d2,or(d1,or(c1,f2))) ),
inference(resolve,[$cnf( $equal(not(and(and(b1,and(c2,f1)),b2)),not(and(b2,and(b1,and(c2,f1))))) )],[refute_0_3984,refute_0_3985]) ).
cnf(refute_0_3987,plain,
not(and(b2,and(b1,and(c2,f1)))) = or(d2,or(d1,or(c1,f2))),
inference(resolve,[$cnf( $equal(not(and(and(b1,and(c2,f1)),b2)),or(d2,or(d1,or(c1,f2)))) )],[refute_0_3983,refute_0_3986]) ).
cnf(refute_0_3988,plain,
( not(and(b2,and(b1,and(c2,f1)))) != or(d2,or(d1,or(c1,f2)))
| not(not(and(b2,and(b1,and(c2,f1))))) != and(b2,and(b1,and(c2,f1)))
| not(or(d2,or(d1,or(c1,f2)))) = and(b2,and(b1,and(c2,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(and(b2,and(b1,and(c2,f1))))),and(b2,and(b1,and(c2,f1)))) ),[0,0],$fot(or(d2,or(d1,or(c1,f2))))]]) ).
cnf(refute_0_3989,plain,
( not(not(and(b2,and(b1,and(c2,f1))))) != and(b2,and(b1,and(c2,f1)))
| not(or(d2,or(d1,or(c1,f2)))) = and(b2,and(b1,and(c2,f1))) ),
inference(resolve,[$cnf( $equal(not(and(b2,and(b1,and(c2,f1)))),or(d2,or(d1,or(c1,f2)))) )],[refute_0_3987,refute_0_3988]) ).
cnf(refute_0_3990,plain,
not(or(d2,or(d1,or(c1,f2)))) = and(b2,and(b1,and(c2,f1))),
inference(resolve,[$cnf( $equal(not(not(and(b2,and(b1,and(c2,f1))))),and(b2,and(b1,and(c2,f1)))) )],[refute_0_3979,refute_0_3989]) ).
cnf(refute_0_3991,plain,
not(and(and(c2,f1),b2)) = or(d2,not(and(c2,f1))),
inference(subst,[],[refute_0_2318:[bind(X_109,$fot(and(c2,f1)))]]) ).
cnf(refute_0_3992,plain,
( not(and(and(c2,f1),b2)) != or(d2,not(and(c2,f1)))
| not(and(c2,f1)) != or(c1,f2)
| not(and(and(c2,f1),b2)) = or(d2,or(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,f1),b2)),or(d2,not(and(c2,f1)))) ),[1,1],$fot(or(c1,f2))]]) ).
cnf(refute_0_3993,plain,
( not(and(and(c2,f1),b2)) != or(d2,not(and(c2,f1)))
| not(and(and(c2,f1),b2)) = or(d2,or(c1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(c2,f1)),or(c1,f2)) )],[refute_0_3241,refute_0_3992]) ).
cnf(refute_0_3994,plain,
not(and(and(c2,f1),b2)) = or(d2,or(c1,f2)),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),b2)),or(d2,not(and(c2,f1)))) )],[refute_0_3991,refute_0_3993]) ).
cnf(refute_0_3995,plain,
not(and(d3,f1)) = not(and(d3,f1)),
introduced(tautology,[refl,[$fot(not(and(d3,f1)))]]) ).
cnf(refute_0_3996,plain,
( and(d3,f1) != n0
| not(and(d3,f1)) != not(and(d3,f1))
| not(and(d3,f1)) = not(n0) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(d3,f1)),not(and(d3,f1))) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_3997,plain,
( and(d3,f1) != n0
| not(and(d3,f1)) = not(n0) ),
inference(resolve,[$cnf( $equal(not(and(d3,f1)),not(and(d3,f1))) )],[refute_0_3995,refute_0_3996]) ).
cnf(refute_0_3998,plain,
not(and(d3,f1)) = not(n0),
inference(resolve,[$cnf( $equal(and(d3,f1),n0) )],[refute_0_230,refute_0_3997]) ).
cnf(refute_0_3999,plain,
( not(and(d3,f1)) != not(n0)
| not(n0) != n1
| not(and(d3,f1)) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(d3,f1)))),bind(Y0,$fot(not(n0))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_4000,plain,
( not(n0) != n1
| not(and(d3,f1)) = n1 ),
inference(resolve,[$cnf( $equal(not(and(d3,f1)),not(n0)) )],[refute_0_3998,refute_0_3999]) ).
cnf(refute_0_4001,plain,
not(and(d3,f1)) = n1,
inference(resolve,[$cnf( $equal(not(n0),n1) )],[not_definition1,refute_0_4000]) ).
cnf(refute_0_4002,plain,
not(and(and(b2,i2),Y)) = or(not(and(b2,i2)),not(Y)),
inference(subst,[],[not_canonicalization1:[bind(X,$fot(and(b2,i2)))]]) ).
cnf(refute_0_4003,plain,
( not(and(and(b2,i2),Y)) != or(not(and(b2,i2)),not(Y))
| not(and(b2,i2)) != not(d3)
| not(and(and(b2,i2),Y)) = or(not(d3),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b2,i2),Y)),or(not(and(b2,i2)),not(Y))) ),[1,0],$fot(not(d3))]]) ).
cnf(refute_0_4004,plain,
( not(and(and(b2,i2),Y)) != or(not(and(b2,i2)),not(Y))
| not(and(and(b2,i2),Y)) = or(not(d3),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(b2,i2)),not(d3)) )],[refute_0_510,refute_0_4003]) ).
cnf(refute_0_4005,plain,
not(and(and(b2,i2),Y)) = or(not(d3),not(Y)),
inference(resolve,[$cnf( $equal(not(and(and(b2,i2),Y)),or(not(and(b2,i2)),not(Y))) )],[refute_0_4002,refute_0_4004]) ).
cnf(refute_0_4006,plain,
and(and(b2,i2),Y) = and(b2,and(i2,Y)),
inference(subst,[],[refute_0_202:[bind(X,$fot(b2)),bind(Y,$fot(i2)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_4007,plain,
not(and(and(b2,i2),Y)) = not(and(and(b2,i2),Y)),
introduced(tautology,[refl,[$fot(not(and(and(b2,i2),Y)))]]) ).
cnf(refute_0_4008,plain,
( and(and(b2,i2),Y) != and(b2,and(i2,Y))
| not(and(and(b2,i2),Y)) != not(and(and(b2,i2),Y))
| not(and(and(b2,i2),Y)) = not(and(b2,and(i2,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b2,i2),Y)),not(and(and(b2,i2),Y))) ),[1,0],$fot(and(b2,and(i2,Y)))]]) ).
cnf(refute_0_4009,plain,
( and(and(b2,i2),Y) != and(b2,and(i2,Y))
| not(and(and(b2,i2),Y)) = not(and(b2,and(i2,Y))) ),
inference(resolve,[$cnf( $equal(not(and(and(b2,i2),Y)),not(and(and(b2,i2),Y))) )],[refute_0_4007,refute_0_4008]) ).
cnf(refute_0_4010,plain,
not(and(and(b2,i2),Y)) = not(and(b2,and(i2,Y))),
inference(resolve,[$cnf( $equal(and(and(b2,i2),Y),and(b2,and(i2,Y))) )],[refute_0_4006,refute_0_4009]) ).
cnf(refute_0_4011,plain,
( not(and(and(b2,i2),Y)) != not(and(b2,and(i2,Y)))
| not(and(and(b2,i2),Y)) != or(not(d3),not(Y))
| not(and(b2,and(i2,Y))) = or(not(d3),not(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(b2,i2),Y)),or(not(d3),not(Y))) ),[0],$fot(not(and(b2,and(i2,Y))))]]) ).
cnf(refute_0_4012,plain,
( not(and(and(b2,i2),Y)) != or(not(d3),not(Y))
| not(and(b2,and(i2,Y))) = or(not(d3),not(Y)) ),
inference(resolve,[$cnf( $equal(not(and(and(b2,i2),Y)),not(and(b2,and(i2,Y)))) )],[refute_0_4010,refute_0_4011]) ).
cnf(refute_0_4013,plain,
( not(and(b2,and(i2,Y))) != or(not(d3),not(Y))
| or(not(d3),not(Y)) != not(and(d3,Y))
| not(and(b2,and(i2,Y))) = not(and(d3,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(not(and(b2,and(i2,Y))),not(and(d3,Y))) ),[0],$fot(or(not(d3),not(Y)))]]) ).
cnf(refute_0_4014,plain,
( not(and(b2,and(i2,Y))) != or(not(d3),not(Y))
| not(and(b2,and(i2,Y))) = not(and(d3,Y)) ),
inference(resolve,[$cnf( $equal(or(not(d3),not(Y)),not(and(d3,Y))) )],[refute_0_2790,refute_0_4013]) ).
cnf(refute_0_4015,plain,
( not(and(and(b2,i2),Y)) != or(not(d3),not(Y))
| not(and(b2,and(i2,Y))) = not(and(d3,Y)) ),
inference(resolve,[$cnf( $equal(not(and(b2,and(i2,Y))),or(not(d3),not(Y))) )],[refute_0_4012,refute_0_4014]) ).
cnf(refute_0_4016,plain,
not(and(b2,and(i2,Y))) = not(and(d3,Y)),
inference(resolve,[$cnf( $equal(not(and(and(b2,i2),Y)),or(not(d3),not(Y))) )],[refute_0_4005,refute_0_4015]) ).
cnf(refute_0_4017,plain,
and(b2,and(i2,Y)) = and(b2,and(i2,Y)),
introduced(tautology,[refl,[$fot(and(b2,and(i2,Y)))]]) ).
cnf(refute_0_4018,plain,
( and(b2,and(i2,Y)) != and(b2,and(i2,Y))
| and(i2,Y) != and(c2,Y)
| and(b2,and(i2,Y)) = and(b2,and(c2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b2,and(i2,Y)),and(b2,and(i2,Y))) ),[1,1],$fot(and(c2,Y))]]) ).
cnf(refute_0_4019,plain,
( and(i2,Y) != and(c2,Y)
| and(b2,and(i2,Y)) = and(b2,and(c2,Y)) ),
inference(resolve,[$cnf( $equal(and(b2,and(i2,Y)),and(b2,and(i2,Y))) )],[refute_0_4017,refute_0_4018]) ).
cnf(refute_0_4020,plain,
and(b2,and(i2,Y)) = and(b2,and(c2,Y)),
inference(resolve,[$cnf( $equal(and(i2,Y),and(c2,Y)) )],[refute_0_3035,refute_0_4019]) ).
cnf(refute_0_4021,plain,
not(and(b2,and(i2,Y))) = not(and(b2,and(i2,Y))),
introduced(tautology,[refl,[$fot(not(and(b2,and(i2,Y))))]]) ).
cnf(refute_0_4022,plain,
( and(b2,and(i2,Y)) != and(b2,and(c2,Y))
| not(and(b2,and(i2,Y))) != not(and(b2,and(i2,Y)))
| not(and(b2,and(i2,Y))) = not(and(b2,and(c2,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b2,and(i2,Y))),not(and(b2,and(i2,Y)))) ),[1,0],$fot(and(b2,and(c2,Y)))]]) ).
cnf(refute_0_4023,plain,
( and(b2,and(i2,Y)) != and(b2,and(c2,Y))
| not(and(b2,and(i2,Y))) = not(and(b2,and(c2,Y))) ),
inference(resolve,[$cnf( $equal(not(and(b2,and(i2,Y))),not(and(b2,and(i2,Y)))) )],[refute_0_4021,refute_0_4022]) ).
cnf(refute_0_4024,plain,
not(and(b2,and(i2,Y))) = not(and(b2,and(c2,Y))),
inference(resolve,[$cnf( $equal(and(b2,and(i2,Y)),and(b2,and(c2,Y))) )],[refute_0_4020,refute_0_4023]) ).
cnf(refute_0_4025,plain,
( not(and(b2,and(i2,Y))) != not(and(b2,and(c2,Y)))
| not(and(b2,and(i2,Y))) != not(and(d3,Y))
| not(and(b2,and(c2,Y))) = not(and(d3,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(b2,and(i2,Y))),not(and(d3,Y))) ),[0],$fot(not(and(b2,and(c2,Y))))]]) ).
cnf(refute_0_4026,plain,
( not(and(b2,and(i2,Y))) != not(and(d3,Y))
| not(and(b2,and(c2,Y))) = not(and(d3,Y)) ),
inference(resolve,[$cnf( $equal(not(and(b2,and(i2,Y))),not(and(b2,and(c2,Y)))) )],[refute_0_4024,refute_0_4025]) ).
cnf(refute_0_4027,plain,
not(and(b2,and(c2,Y))) = not(and(d3,Y)),
inference(resolve,[$cnf( $equal(not(and(b2,and(i2,Y))),not(and(d3,Y))) )],[refute_0_4016,refute_0_4026]) ).
cnf(refute_0_4028,plain,
not(and(b2,and(c2,f1))) = not(and(d3,f1)),
inference(subst,[],[refute_0_4027:[bind(Y,$fot(f1))]]) ).
cnf(refute_0_4029,plain,
not(and(and(c2,f1),b2)) = not(and(b2,and(c2,f1))),
inference(subst,[],[refute_0_2345:[bind(X_118,$fot(and(c2,f1)))]]) ).
cnf(refute_0_4030,plain,
( not(and(and(c2,f1),b2)) != not(and(b2,and(c2,f1)))
| not(and(b2,and(c2,f1))) != not(and(d3,f1))
| not(and(and(c2,f1),b2)) = not(and(d3,f1)) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(c2,f1),b2)))),bind(Y0,$fot(not(and(b2,and(c2,f1))))),bind(Z0,$fot(not(and(d3,f1))))]]) ).
cnf(refute_0_4031,plain,
( not(and(b2,and(c2,f1))) != not(and(d3,f1))
| not(and(and(c2,f1),b2)) = not(and(d3,f1)) ),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),b2)),not(and(b2,and(c2,f1)))) )],[refute_0_4029,refute_0_4030]) ).
cnf(refute_0_4032,plain,
not(and(and(c2,f1),b2)) = not(and(d3,f1)),
inference(resolve,[$cnf( $equal(not(and(b2,and(c2,f1))),not(and(d3,f1))) )],[refute_0_4028,refute_0_4031]) ).
cnf(refute_0_4033,plain,
( not(and(and(c2,f1),b2)) != not(and(d3,f1))
| not(and(d3,f1)) != n1
| not(and(and(c2,f1),b2)) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(and(and(c2,f1),b2)))),bind(Y0,$fot(not(and(d3,f1)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_4034,plain,
( not(and(d3,f1)) != n1
| not(and(and(c2,f1),b2)) = n1 ),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),b2)),not(and(d3,f1))) )],[refute_0_4032,refute_0_4033]) ).
cnf(refute_0_4035,plain,
not(and(and(c2,f1),b2)) = n1,
inference(resolve,[$cnf( $equal(not(and(d3,f1)),n1) )],[refute_0_4001,refute_0_4034]) ).
cnf(refute_0_4036,plain,
( not(and(and(c2,f1),b2)) != n1
| not(and(and(c2,f1),b2)) != or(d2,or(c1,f2))
| n1 = or(d2,or(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(not(and(and(c2,f1),b2)),or(d2,or(c1,f2))) ),[0],$fot(n1)]]) ).
cnf(refute_0_4037,plain,
( not(and(and(c2,f1),b2)) != or(d2,or(c1,f2))
| n1 = or(d2,or(c1,f2)) ),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),b2)),n1) )],[refute_0_4035,refute_0_4036]) ).
cnf(refute_0_4038,plain,
n1 = or(d2,or(c1,f2)),
inference(resolve,[$cnf( $equal(not(and(and(c2,f1),b2)),or(d2,or(c1,f2))) )],[refute_0_3994,refute_0_4037]) ).
cnf(refute_0_4039,plain,
( n1 != or(d2,or(c1,f2))
| or(d2,or(c1,f2)) = n1 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(or(d2,or(c1,f2))))]]) ).
cnf(refute_0_4040,plain,
or(d2,or(c1,f2)) = n1,
inference(resolve,[$cnf( $equal(n1,or(d2,or(c1,f2))) )],[refute_0_4038,refute_0_4039]) ).
cnf(refute_0_4041,plain,
or(d2,or(d1,or(c1,f2))) = or(d2,or(d1,or(c1,f2))),
introduced(tautology,[refl,[$fot(or(d2,or(d1,or(c1,f2))))]]) ).
cnf(refute_0_4042,plain,
( or(d1,or(c1,f2)) != or(c1,f2)
| or(d2,or(d1,or(c1,f2))) != or(d2,or(d1,or(c1,f2)))
| or(d2,or(d1,or(c1,f2))) = or(d2,or(c1,f2)) ),
introduced(tautology,[equality,[$cnf( $equal(or(d2,or(d1,or(c1,f2))),or(d2,or(d1,or(c1,f2)))) ),[1,1],$fot(or(c1,f2))]]) ).
cnf(refute_0_4043,plain,
( or(d1,or(c1,f2)) != or(c1,f2)
| or(d2,or(d1,or(c1,f2))) = or(d2,or(c1,f2)) ),
inference(resolve,[$cnf( $equal(or(d2,or(d1,or(c1,f2))),or(d2,or(d1,or(c1,f2)))) )],[refute_0_4041,refute_0_4042]) ).
cnf(refute_0_4044,plain,
or(d2,or(d1,or(c1,f2))) = or(d2,or(c1,f2)),
inference(resolve,[$cnf( $equal(or(d1,or(c1,f2)),or(c1,f2)) )],[refute_0_3375,refute_0_4043]) ).
cnf(refute_0_4045,plain,
( or(d2,or(c1,f2)) != n1
| or(d2,or(d1,or(c1,f2))) != or(d2,or(c1,f2))
| or(d2,or(d1,or(c1,f2))) = n1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(d2,or(d1,or(c1,f2))))),bind(Y0,$fot(or(d2,or(c1,f2)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_4046,plain,
( or(d2,or(c1,f2)) != n1
| or(d2,or(d1,or(c1,f2))) = n1 ),
inference(resolve,[$cnf( $equal(or(d2,or(d1,or(c1,f2))),or(d2,or(c1,f2))) )],[refute_0_4044,refute_0_4045]) ).
cnf(refute_0_4047,plain,
or(d2,or(d1,or(c1,f2))) = n1,
inference(resolve,[$cnf( $equal(or(d2,or(c1,f2)),n1) )],[refute_0_4040,refute_0_4046]) ).
cnf(refute_0_4048,plain,
not(or(d2,or(d1,or(c1,f2)))) = not(or(d2,or(d1,or(c1,f2)))),
introduced(tautology,[refl,[$fot(not(or(d2,or(d1,or(c1,f2)))))]]) ).
cnf(refute_0_4049,plain,
( not(or(d2,or(d1,or(c1,f2)))) != not(or(d2,or(d1,or(c1,f2))))
| or(d2,or(d1,or(c1,f2))) != n1
| not(or(d2,or(d1,or(c1,f2)))) = not(n1) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d2,or(d1,or(c1,f2)))),not(or(d2,or(d1,or(c1,f2))))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_4050,plain,
( or(d2,or(d1,or(c1,f2))) != n1
| not(or(d2,or(d1,or(c1,f2)))) = not(n1) ),
inference(resolve,[$cnf( $equal(not(or(d2,or(d1,or(c1,f2)))),not(or(d2,or(d1,or(c1,f2))))) )],[refute_0_4048,refute_0_4049]) ).
cnf(refute_0_4051,plain,
not(or(d2,or(d1,or(c1,f2)))) = not(n1),
inference(resolve,[$cnf( $equal(or(d2,or(d1,or(c1,f2))),n1) )],[refute_0_4047,refute_0_4050]) ).
cnf(refute_0_4052,plain,
( not(n1) != n0
| not(or(d2,or(d1,or(c1,f2)))) != not(n1)
| not(or(d2,or(d1,or(c1,f2)))) = n0 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(not(or(d2,or(d1,or(c1,f2)))))),bind(Y0,$fot(not(n1))),bind(Z0,$fot(n0))]]) ).
cnf(refute_0_4053,plain,
( not(n1) != n0
| not(or(d2,or(d1,or(c1,f2)))) = n0 ),
inference(resolve,[$cnf( $equal(not(or(d2,or(d1,or(c1,f2)))),not(n1)) )],[refute_0_4051,refute_0_4052]) ).
cnf(refute_0_4054,plain,
not(or(d2,or(d1,or(c1,f2)))) = n0,
inference(resolve,[$cnf( $equal(not(n1),n0) )],[not_definition2,refute_0_4053]) ).
cnf(refute_0_4055,plain,
( not(or(d2,or(d1,or(c1,f2)))) != and(b2,and(b1,and(c2,f1)))
| not(or(d2,or(d1,or(c1,f2)))) != n0
| n0 = and(b2,and(b1,and(c2,f1))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(d2,or(d1,or(c1,f2)))),and(b2,and(b1,and(c2,f1)))) ),[0],$fot(n0)]]) ).
cnf(refute_0_4056,plain,
( not(or(d2,or(d1,or(c1,f2)))) != and(b2,and(b1,and(c2,f1)))
| n0 = and(b2,and(b1,and(c2,f1))) ),
inference(resolve,[$cnf( $equal(not(or(d2,or(d1,or(c1,f2)))),n0) )],[refute_0_4054,refute_0_4055]) ).
cnf(refute_0_4057,plain,
( and(c2,f1) != and(b1,and(c2,f1))
| and(b1,and(c2,f1)) = and(c2,f1) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(and(c2,f1))),bind(Y0,$fot(and(b1,and(c2,f1))))]]) ).
cnf(refute_0_4058,plain,
and(b1,and(c2,f1)) = and(c2,f1),
inference(resolve,[$cnf( $equal(and(c2,f1),and(b1,and(c2,f1))) )],[refute_0_3385,refute_0_4057]) ).
cnf(refute_0_4059,plain,
and(b2,and(b1,and(c2,f1))) = and(b2,and(b1,and(c2,f1))),
introduced(tautology,[refl,[$fot(and(b2,and(b1,and(c2,f1))))]]) ).
cnf(refute_0_4060,plain,
( and(b1,and(c2,f1)) != and(c2,f1)
| and(b2,and(b1,and(c2,f1))) != and(b2,and(b1,and(c2,f1)))
| and(b2,and(b1,and(c2,f1))) = and(b2,and(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b2,and(b1,and(c2,f1))),and(b2,and(b1,and(c2,f1)))) ),[1,1],$fot(and(c2,f1))]]) ).
cnf(refute_0_4061,plain,
( and(b1,and(c2,f1)) != and(c2,f1)
| and(b2,and(b1,and(c2,f1))) = and(b2,and(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(b2,and(b1,and(c2,f1))),and(b2,and(b1,and(c2,f1)))) )],[refute_0_4059,refute_0_4060]) ).
cnf(refute_0_4062,plain,
and(b2,and(b1,and(c2,f1))) = and(b2,and(c2,f1)),
inference(resolve,[$cnf( $equal(and(b1,and(c2,f1)),and(c2,f1)) )],[refute_0_4058,refute_0_4061]) ).
cnf(refute_0_4063,plain,
( and(b2,and(b1,and(c2,f1))) != and(b2,and(c2,f1))
| n0 != and(b2,and(b1,and(c2,f1)))
| n0 = and(b2,and(c2,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(n0,and(b2,and(b1,and(c2,f1)))) ),[1],$fot(and(b2,and(c2,f1)))]]) ).
cnf(refute_0_4064,plain,
( n0 != and(b2,and(b1,and(c2,f1)))
| n0 = and(b2,and(c2,f1)) ),
inference(resolve,[$cnf( $equal(and(b2,and(b1,and(c2,f1))),and(b2,and(c2,f1))) )],[refute_0_4062,refute_0_4063]) ).
cnf(refute_0_4065,plain,
( not(or(d2,or(d1,or(c1,f2)))) != and(b2,and(b1,and(c2,f1)))
| n0 = and(b2,and(c2,f1)) ),
inference(resolve,[$cnf( $equal(n0,and(b2,and(b1,and(c2,f1)))) )],[refute_0_4056,refute_0_4064]) ).
cnf(refute_0_4066,plain,
n0 = and(b2,and(c2,f1)),
inference(resolve,[$cnf( $equal(not(or(d2,or(d1,or(c1,f2)))),and(b2,and(b1,and(c2,f1)))) )],[refute_0_3990,refute_0_4065]) ).
cnf(refute_0_4067,plain,
( and(b3,f1) != and(a1,f1)
| and(c2,f1) != and(b3,f1)
| and(c2,f1) = and(a1,f1) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,f1),and(b3,f1)) ),[1],$fot(and(a1,f1))]]) ).
cnf(refute_0_4068,plain,
( and(c2,f1) != and(b3,f1)
| and(c2,f1) = and(a1,f1) ),
inference(resolve,[$cnf( $equal(and(b3,f1),and(a1,f1)) )],[refute_0_3970,refute_0_4067]) ).
cnf(refute_0_4069,plain,
and(c2,f1) = and(a1,f1),
inference(resolve,[$cnf( $equal(and(c2,f1),and(b3,f1)) )],[refute_0_3572,refute_0_4068]) ).
cnf(refute_0_4070,plain,
and(b2,and(c2,f1)) = and(b2,and(c2,f1)),
introduced(tautology,[refl,[$fot(and(b2,and(c2,f1)))]]) ).
cnf(refute_0_4071,plain,
( and(b2,and(c2,f1)) != and(b2,and(c2,f1))
| and(c2,f1) != and(a1,f1)
| and(b2,and(c2,f1)) = and(b2,and(a1,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b2,and(c2,f1)),and(b2,and(c2,f1))) ),[1,1],$fot(and(a1,f1))]]) ).
cnf(refute_0_4072,plain,
( and(c2,f1) != and(a1,f1)
| and(b2,and(c2,f1)) = and(b2,and(a1,f1)) ),
inference(resolve,[$cnf( $equal(and(b2,and(c2,f1)),and(b2,and(c2,f1))) )],[refute_0_4070,refute_0_4071]) ).
cnf(refute_0_4073,plain,
and(b2,and(c2,f1)) = and(b2,and(a1,f1)),
inference(resolve,[$cnf( $equal(and(c2,f1),and(a1,f1)) )],[refute_0_4069,refute_0_4072]) ).
cnf(refute_0_4074,plain,
( and(b2,and(c2,f1)) != and(b2,and(a1,f1))
| n0 != and(b2,and(c2,f1))
| n0 = and(b2,and(a1,f1)) ),
introduced(tautology,[equality,[$cnf( $equal(n0,and(b2,and(c2,f1))) ),[1],$fot(and(b2,and(a1,f1)))]]) ).
cnf(refute_0_4075,plain,
( n0 != and(b2,and(c2,f1))
| n0 = and(b2,and(a1,f1)) ),
inference(resolve,[$cnf( $equal(and(b2,and(c2,f1)),and(b2,and(a1,f1))) )],[refute_0_4073,refute_0_4074]) ).
cnf(refute_0_4076,plain,
n0 = and(b2,and(a1,f1)),
inference(resolve,[$cnf( $equal(n0,and(b2,and(c2,f1))) )],[refute_0_4066,refute_0_4075]) ).
cnf(refute_0_4077,plain,
( n0 != and(b2,and(a1,f1))
| and(b2,and(a1,f1)) = n0 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(n0)),bind(Y0,$fot(and(b2,and(a1,f1))))]]) ).
cnf(refute_0_4078,plain,
and(b2,and(a1,f1)) = n0,
inference(resolve,[$cnf( $equal(n0,and(b2,and(a1,f1))) )],[refute_0_4076,refute_0_4077]) ).
cnf(refute_0_4079,plain,
( and(b2,and(a1,f1)) != n0
| or(and(b2,and(a1,f1)),and(and(a1,f1),not(b2))) != and(a1,f1)
| or(n0,and(and(a1,f1),not(b2))) = and(a1,f1) ),
introduced(tautology,[equality,[$cnf( $equal(or(and(b2,and(a1,f1)),and(and(a1,f1),not(b2))),and(a1,f1)) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_4080,plain,
( or(and(b2,and(a1,f1)),and(and(a1,f1),not(b2))) != and(a1,f1)
| or(n0,and(and(a1,f1),not(b2))) = and(a1,f1) ),
inference(resolve,[$cnf( $equal(and(b2,and(a1,f1)),n0) )],[refute_0_4078,refute_0_4079]) ).
cnf(refute_0_4081,plain,
or(n0,and(and(a1,f1),not(b2))) = and(a1,f1),
inference(resolve,[$cnf( $equal(or(and(b2,and(a1,f1)),and(and(a1,f1),not(b2))),and(a1,f1)) )],[refute_0_3978,refute_0_4080]) ).
cnf(refute_0_4082,plain,
and(d2,c2) = and(c2,d2),
inference(subst,[],[refute_0_129:[bind(X,$fot(c2)),bind(Y,$fot(d2))]]) ).
cnf(refute_0_4083,plain,
and(d2,i2) = and(d2,i2),
introduced(tautology,[refl,[$fot(and(d2,i2))]]) ).
cnf(refute_0_4084,plain,
( and(d2,i2) != and(d2,i2)
| i2 != c2
| and(d2,i2) = and(d2,c2) ),
introduced(tautology,[equality,[$cnf( $equal(and(d2,i2),and(d2,i2)) ),[1,1],$fot(c2)]]) ).
cnf(refute_0_4085,plain,
( i2 != c2
| and(d2,i2) = and(d2,c2) ),
inference(resolve,[$cnf( $equal(and(d2,i2),and(d2,i2)) )],[refute_0_4083,refute_0_4084]) ).
cnf(refute_0_4086,plain,
and(d2,i2) = and(d2,c2),
inference(resolve,[$cnf( $equal(i2,c2) )],[refute_0_530,refute_0_4085]) ).
cnf(refute_0_4087,plain,
( and(d2,c2) != and(c2,d2)
| and(d2,i2) != and(d2,c2)
| and(d2,i2) = and(c2,d2) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(d2,i2))),bind(Y0,$fot(and(d2,c2))),bind(Z0,$fot(and(c2,d2)))]]) ).
cnf(refute_0_4088,plain,
( and(d2,c2) != and(c2,d2)
| and(d2,i2) = and(c2,d2) ),
inference(resolve,[$cnf( $equal(and(d2,i2),and(d2,c2)) )],[refute_0_4086,refute_0_4087]) ).
cnf(refute_0_4089,plain,
and(d2,i2) = and(c2,d2),
inference(resolve,[$cnf( $equal(and(d2,c2),and(c2,d2)) )],[refute_0_4082,refute_0_4088]) ).
cnf(refute_0_4090,plain,
( and(d2,i2) != and(c2,d2)
| d2 != and(d2,i2)
| d2 = and(c2,d2) ),
introduced(tautology,[equality,[$cnf( $equal(d2,and(d2,i2)) ),[1],$fot(and(c2,d2))]]) ).
cnf(refute_0_4091,plain,
( d2 != and(d2,i2)
| d2 = and(c2,d2) ),
inference(resolve,[$cnf( $equal(and(d2,i2),and(c2,d2)) )],[refute_0_4089,refute_0_4090]) ).
cnf(refute_0_4092,plain,
d2 = and(c2,d2),
inference(resolve,[$cnf( $equal(d2,and(d2,i2)) )],[refute_0_400,refute_0_4091]) ).
cnf(refute_0_4093,plain,
and(c2,d2) = and(c2,d2),
introduced(tautology,[refl,[$fot(and(c2,d2))]]) ).
cnf(refute_0_4094,plain,
( and(c2,d2) != and(c2,d2)
| c2 != a1
| and(c2,d2) = and(a1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(and(c2,d2),and(c2,d2)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_4095,plain,
( c2 != a1
| and(c2,d2) = and(a1,d2) ),
inference(resolve,[$cnf( $equal(and(c2,d2),and(c2,d2)) )],[refute_0_4093,refute_0_4094]) ).
cnf(refute_0_4096,plain,
and(c2,d2) = and(a1,d2),
inference(resolve,[$cnf( $equal(c2,a1) )],[refute_0_2278,refute_0_4095]) ).
cnf(refute_0_4097,plain,
( and(c2,d2) != and(a1,d2)
| d2 != and(c2,d2)
| d2 = and(a1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(d2,and(c2,d2)) ),[1],$fot(and(a1,d2))]]) ).
cnf(refute_0_4098,plain,
( d2 != and(c2,d2)
| d2 = and(a1,d2) ),
inference(resolve,[$cnf( $equal(and(c2,d2),and(a1,d2)) )],[refute_0_4096,refute_0_4097]) ).
cnf(refute_0_4099,plain,
d2 = and(a1,d2),
inference(resolve,[$cnf( $equal(d2,and(c2,d2)) )],[refute_0_4092,refute_0_4098]) ).
cnf(refute_0_4100,plain,
( d2 != and(a1,d2)
| and(a1,d2) = d2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d2)),bind(Y0,$fot(and(a1,d2)))]]) ).
cnf(refute_0_4101,plain,
and(a1,d2) = d2,
inference(resolve,[$cnf( $equal(d2,and(a1,d2)) )],[refute_0_4099,refute_0_4100]) ).
cnf(refute_0_4102,plain,
and(f1,d2) = and(d2,f1),
inference(subst,[],[refute_0_129:[bind(X,$fot(d2)),bind(Y,$fot(f1))]]) ).
cnf(refute_0_4103,plain,
( and(d2,f1) != d2
| and(f1,d2) != and(d2,f1)
| and(f1,d2) = d2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f1,d2))),bind(Y0,$fot(and(d2,f1))),bind(Z0,$fot(d2))]]) ).
cnf(refute_0_4104,plain,
( and(d2,f1) != d2
| and(f1,d2) = d2 ),
inference(resolve,[$cnf( $equal(and(f1,d2),and(d2,f1)) )],[refute_0_4102,refute_0_4103]) ).
cnf(refute_0_4105,plain,
and(f1,d2) = d2,
inference(resolve,[$cnf( $equal(and(d2,f1),d2) )],[refute_0_3100,refute_0_4104]) ).
cnf(refute_0_4106,plain,
and(f1,not(b2)) = and(f1,not(b2)),
introduced(tautology,[refl,[$fot(and(f1,not(b2)))]]) ).
cnf(refute_0_4107,plain,
( and(f1,not(b2)) != and(f1,not(b2))
| not(b2) != d2
| and(f1,not(b2)) = and(f1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(and(f1,not(b2)),and(f1,not(b2))) ),[1,1],$fot(d2)]]) ).
cnf(refute_0_4108,plain,
( not(b2) != d2
| and(f1,not(b2)) = and(f1,d2) ),
inference(resolve,[$cnf( $equal(and(f1,not(b2)),and(f1,not(b2))) )],[refute_0_4106,refute_0_4107]) ).
cnf(refute_0_4109,plain,
and(f1,not(b2)) = and(f1,d2),
inference(resolve,[$cnf( $equal(not(b2),d2) )],[refute_0_397,refute_0_4108]) ).
cnf(refute_0_4110,plain,
( and(f1,d2) != d2
| and(f1,not(b2)) != and(f1,d2)
| and(f1,not(b2)) = d2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(f1,not(b2)))),bind(Y0,$fot(and(f1,d2))),bind(Z0,$fot(d2))]]) ).
cnf(refute_0_4111,plain,
( and(f1,d2) != d2
| and(f1,not(b2)) = d2 ),
inference(resolve,[$cnf( $equal(and(f1,not(b2)),and(f1,d2)) )],[refute_0_4109,refute_0_4110]) ).
cnf(refute_0_4112,plain,
and(f1,not(b2)) = d2,
inference(resolve,[$cnf( $equal(and(f1,d2),d2) )],[refute_0_4105,refute_0_4111]) ).
cnf(refute_0_4113,plain,
and(a1,and(f1,not(b2))) = and(a1,and(f1,not(b2))),
introduced(tautology,[refl,[$fot(and(a1,and(f1,not(b2))))]]) ).
cnf(refute_0_4114,plain,
( and(a1,and(f1,not(b2))) != and(a1,and(f1,not(b2)))
| and(f1,not(b2)) != d2
| and(a1,and(f1,not(b2))) = and(a1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(and(a1,and(f1,not(b2))),and(a1,and(f1,not(b2)))) ),[1,1],$fot(d2)]]) ).
cnf(refute_0_4115,plain,
( and(f1,not(b2)) != d2
| and(a1,and(f1,not(b2))) = and(a1,d2) ),
inference(resolve,[$cnf( $equal(and(a1,and(f1,not(b2))),and(a1,and(f1,not(b2)))) )],[refute_0_4113,refute_0_4114]) ).
cnf(refute_0_4116,plain,
and(a1,and(f1,not(b2))) = and(a1,d2),
inference(resolve,[$cnf( $equal(and(f1,not(b2)),d2) )],[refute_0_4112,refute_0_4115]) ).
cnf(refute_0_4117,plain,
( and(a1,and(f1,not(b2))) != and(a1,d2)
| and(a1,d2) != d2
| and(a1,and(f1,not(b2))) = d2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(a1,and(f1,not(b2))))),bind(Y0,$fot(and(a1,d2))),bind(Z0,$fot(d2))]]) ).
cnf(refute_0_4118,plain,
( and(a1,d2) != d2
| and(a1,and(f1,not(b2))) = d2 ),
inference(resolve,[$cnf( $equal(and(a1,and(f1,not(b2))),and(a1,d2)) )],[refute_0_4116,refute_0_4117]) ).
cnf(refute_0_4119,plain,
and(a1,and(f1,not(b2))) = d2,
inference(resolve,[$cnf( $equal(and(a1,d2),d2) )],[refute_0_4101,refute_0_4118]) ).
cnf(refute_0_4120,plain,
and(and(a1,f1),not(b2)) = and(a1,and(f1,not(b2))),
inference(subst,[],[refute_0_202:[bind(X,$fot(a1)),bind(Y,$fot(f1)),bind(Z,$fot(not(b2)))]]) ).
cnf(refute_0_4121,plain,
or(n0,and(and(a1,f1),not(b2))) = and(and(a1,f1),not(b2)),
inference(subst,[],[refute_0_154:[bind(X_14,$fot(and(and(a1,f1),not(b2))))]]) ).
cnf(refute_0_4122,plain,
( and(and(a1,f1),not(b2)) != and(a1,and(f1,not(b2)))
| or(n0,and(and(a1,f1),not(b2))) != and(and(a1,f1),not(b2))
| or(n0,and(and(a1,f1),not(b2))) = and(a1,and(f1,not(b2))) ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(a1,f1),not(b2))))),bind(Y0,$fot(and(and(a1,f1),not(b2)))),bind(Z0,$fot(and(a1,and(f1,not(b2)))))]]) ).
cnf(refute_0_4123,plain,
( and(and(a1,f1),not(b2)) != and(a1,and(f1,not(b2)))
| or(n0,and(and(a1,f1),not(b2))) = and(a1,and(f1,not(b2))) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(a1,f1),not(b2))),and(and(a1,f1),not(b2))) )],[refute_0_4121,refute_0_4122]) ).
cnf(refute_0_4124,plain,
or(n0,and(and(a1,f1),not(b2))) = and(a1,and(f1,not(b2))),
inference(resolve,[$cnf( $equal(and(and(a1,f1),not(b2)),and(a1,and(f1,not(b2)))) )],[refute_0_4120,refute_0_4123]) ).
cnf(refute_0_4125,plain,
( and(a1,and(f1,not(b2))) != d2
| or(n0,and(and(a1,f1),not(b2))) != and(a1,and(f1,not(b2)))
| or(n0,and(and(a1,f1),not(b2))) = d2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(or(n0,and(and(a1,f1),not(b2))))),bind(Y0,$fot(and(a1,and(f1,not(b2))))),bind(Z0,$fot(d2))]]) ).
cnf(refute_0_4126,plain,
( and(a1,and(f1,not(b2))) != d2
| or(n0,and(and(a1,f1),not(b2))) = d2 ),
inference(resolve,[$cnf( $equal(or(n0,and(and(a1,f1),not(b2))),and(a1,and(f1,not(b2)))) )],[refute_0_4124,refute_0_4125]) ).
cnf(refute_0_4127,plain,
or(n0,and(and(a1,f1),not(b2))) = d2,
inference(resolve,[$cnf( $equal(and(a1,and(f1,not(b2))),d2) )],[refute_0_4119,refute_0_4126]) ).
cnf(refute_0_4128,plain,
( or(n0,and(and(a1,f1),not(b2))) != and(a1,f1)
| or(n0,and(and(a1,f1),not(b2))) != d2
| d2 = and(a1,f1) ),
introduced(tautology,[equality,[$cnf( $equal(or(n0,and(and(a1,f1),not(b2))),and(a1,f1)) ),[0],$fot(d2)]]) ).
cnf(refute_0_4129,plain,
( or(n0,and(and(a1,f1),not(b2))) != and(a1,f1)
| d2 = and(a1,f1) ),
inference(resolve,[$cnf( $equal(or(n0,and(and(a1,f1),not(b2))),d2) )],[refute_0_4127,refute_0_4128]) ).
cnf(refute_0_4130,plain,
d2 = and(a1,f1),
inference(resolve,[$cnf( $equal(or(n0,and(and(a1,f1),not(b2))),and(a1,f1)) )],[refute_0_4081,refute_0_4129]) ).
cnf(refute_0_4131,plain,
( d2 != and(a1,f1)
| and(a1,f1) = d2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(d2)),bind(Y0,$fot(and(a1,f1)))]]) ).
cnf(refute_0_4132,plain,
and(a1,f1) = d2,
inference(resolve,[$cnf( $equal(d2,and(a1,f1)) )],[refute_0_4130,refute_0_4131]) ).
cnf(refute_0_4133,plain,
or(c1,and(a1,f1)) = or(c1,and(a1,f1)),
introduced(tautology,[refl,[$fot(or(c1,and(a1,f1)))]]) ).
cnf(refute_0_4134,plain,
( and(a1,f1) != d2
| or(c1,and(a1,f1)) != or(c1,and(a1,f1))
| or(c1,and(a1,f1)) = or(c1,d2) ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(a1,f1)),or(c1,and(a1,f1))) ),[1,1],$fot(d2)]]) ).
cnf(refute_0_4135,plain,
( and(a1,f1) != d2
| or(c1,and(a1,f1)) = or(c1,d2) ),
inference(resolve,[$cnf( $equal(or(c1,and(a1,f1)),or(c1,and(a1,f1))) )],[refute_0_4133,refute_0_4134]) ).
cnf(refute_0_4136,plain,
or(c1,and(a1,f1)) = or(c1,d2),
inference(resolve,[$cnf( $equal(and(a1,f1),d2) )],[refute_0_4132,refute_0_4135]) ).
cnf(refute_0_4137,plain,
( or(c1,and(a1,f1)) != b3
| or(c1,and(a1,f1)) != or(c1,d2)
| or(c1,d2) = b3 ),
introduced(tautology,[equality,[$cnf( $equal(or(c1,and(a1,f1)),b3) ),[0],$fot(or(c1,d2))]]) ).
cnf(refute_0_4138,plain,
( or(c1,and(a1,f1)) != b3
| or(c1,d2) = b3 ),
inference(resolve,[$cnf( $equal(or(c1,and(a1,f1)),or(c1,d2)) )],[refute_0_4136,refute_0_4137]) ).
cnf(refute_0_4139,plain,
or(c1,d2) = b3,
inference(resolve,[$cnf( $equal(or(c1,and(a1,f1)),b3) )],[refute_0_3977,refute_0_4138]) ).
cnf(refute_0_4140,plain,
and(c1,or(c1,d2)) = and(c1,or(c1,d2)),
introduced(tautology,[refl,[$fot(and(c1,or(c1,d2)))]]) ).
cnf(refute_0_4141,plain,
( and(c1,or(c1,d2)) != and(c1,or(c1,d2))
| or(c1,d2) != b3
| and(c1,or(c1,d2)) = and(c1,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(c1,or(c1,d2)),and(c1,or(c1,d2))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_4142,plain,
( or(c1,d2) != b3
| and(c1,or(c1,d2)) = and(c1,b3) ),
inference(resolve,[$cnf( $equal(and(c1,or(c1,d2)),and(c1,or(c1,d2))) )],[refute_0_4140,refute_0_4141]) ).
cnf(refute_0_4143,plain,
and(c1,or(c1,d2)) = and(c1,b3),
inference(resolve,[$cnf( $equal(or(c1,d2),b3) )],[refute_0_4139,refute_0_4142]) ).
cnf(refute_0_4144,plain,
( and(c1,b3) != c1
| and(c1,or(c1,d2)) != and(c1,b3)
| and(c1,or(c1,d2)) = c1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(c1,or(c1,d2)))),bind(Y0,$fot(and(c1,b3))),bind(Z0,$fot(c1))]]) ).
cnf(refute_0_4145,plain,
( and(c1,b3) != c1
| and(c1,or(c1,d2)) = c1 ),
inference(resolve,[$cnf( $equal(and(c1,or(c1,d2)),and(c1,b3)) )],[refute_0_4143,refute_0_4144]) ).
cnf(refute_0_4146,plain,
and(c1,or(c1,d2)) = c1,
inference(resolve,[$cnf( $equal(and(c1,b3),c1) )],[refute_0_3177,refute_0_4145]) ).
cnf(refute_0_4147,plain,
and(b2,and(c1,or(c1,d2))) = and(b2,and(c1,or(c1,d2))),
introduced(tautology,[refl,[$fot(and(b2,and(c1,or(c1,d2))))]]) ).
cnf(refute_0_4148,plain,
( and(b2,and(c1,or(c1,d2))) != and(b2,and(c1,or(c1,d2)))
| and(c1,or(c1,d2)) != c1
| and(b2,and(c1,or(c1,d2))) = and(b2,c1) ),
introduced(tautology,[equality,[$cnf( $equal(and(b2,and(c1,or(c1,d2))),and(b2,and(c1,or(c1,d2)))) ),[1,1],$fot(c1)]]) ).
cnf(refute_0_4149,plain,
( and(c1,or(c1,d2)) != c1
| and(b2,and(c1,or(c1,d2))) = and(b2,c1) ),
inference(resolve,[$cnf( $equal(and(b2,and(c1,or(c1,d2))),and(b2,and(c1,or(c1,d2)))) )],[refute_0_4147,refute_0_4148]) ).
cnf(refute_0_4150,plain,
and(b2,and(c1,or(c1,d2))) = and(b2,c1),
inference(resolve,[$cnf( $equal(and(c1,or(c1,d2)),c1) )],[refute_0_4146,refute_0_4149]) ).
cnf(refute_0_4151,plain,
( and(b2,and(c1,or(c1,d2))) != and(b2,c1)
| and(b2,c1) != c1
| and(b2,and(c1,or(c1,d2))) = c1 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b2,and(c1,or(c1,d2))))),bind(Y0,$fot(and(b2,c1))),bind(Z0,$fot(c1))]]) ).
cnf(refute_0_4152,plain,
( and(b2,c1) != c1
| and(b2,and(c1,or(c1,d2))) = c1 ),
inference(resolve,[$cnf( $equal(and(b2,and(c1,or(c1,d2))),and(b2,c1)) )],[refute_0_4150,refute_0_4151]) ).
cnf(refute_0_4153,plain,
and(b2,and(c1,or(c1,d2))) = c1,
inference(resolve,[$cnf( $equal(and(b2,c1),c1) )],[refute_0_3124,refute_0_4152]) ).
cnf(refute_0_4154,plain,
( and(b2,and(c1,or(c1,d2))) != and(b2,or(c1,d2))
| and(b2,and(c1,or(c1,d2))) != c1
| c1 = and(b2,or(c1,d2)) ),
introduced(tautology,[equality,[$cnf( $equal(and(b2,and(c1,or(c1,d2))),and(b2,or(c1,d2))) ),[0],$fot(c1)]]) ).
cnf(refute_0_4155,plain,
( and(b2,and(c1,or(c1,d2))) != and(b2,or(c1,d2))
| c1 = and(b2,or(c1,d2)) ),
inference(resolve,[$cnf( $equal(and(b2,and(c1,or(c1,d2))),c1) )],[refute_0_4153,refute_0_4154]) ).
cnf(refute_0_4156,plain,
( a2 != and(b2,b3)
| and(b2,b3) = a2 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(a2)),bind(Y0,$fot(and(b2,b3)))]]) ).
cnf(refute_0_4157,plain,
and(b2,b3) = a2,
inference(resolve,[$cnf( $equal(a2,and(b2,b3)) )],[constructor2,refute_0_4156]) ).
cnf(refute_0_4158,plain,
and(b2,or(c1,d2)) = and(b2,or(c1,d2)),
introduced(tautology,[refl,[$fot(and(b2,or(c1,d2)))]]) ).
cnf(refute_0_4159,plain,
( and(b2,or(c1,d2)) != and(b2,or(c1,d2))
| or(c1,d2) != b3
| and(b2,or(c1,d2)) = and(b2,b3) ),
introduced(tautology,[equality,[$cnf( $equal(and(b2,or(c1,d2)),and(b2,or(c1,d2))) ),[1,1],$fot(b3)]]) ).
cnf(refute_0_4160,plain,
( or(c1,d2) != b3
| and(b2,or(c1,d2)) = and(b2,b3) ),
inference(resolve,[$cnf( $equal(and(b2,or(c1,d2)),and(b2,or(c1,d2))) )],[refute_0_4158,refute_0_4159]) ).
cnf(refute_0_4161,plain,
and(b2,or(c1,d2)) = and(b2,b3),
inference(resolve,[$cnf( $equal(or(c1,d2),b3) )],[refute_0_4139,refute_0_4160]) ).
cnf(refute_0_4162,plain,
( and(b2,b3) != a2
| and(b2,or(c1,d2)) != and(b2,b3)
| and(b2,or(c1,d2)) = a2 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(and(b2,or(c1,d2)))),bind(Y0,$fot(and(b2,b3))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_4163,plain,
( and(b2,b3) != a2
| and(b2,or(c1,d2)) = a2 ),
inference(resolve,[$cnf( $equal(and(b2,or(c1,d2)),and(b2,b3)) )],[refute_0_4161,refute_0_4162]) ).
cnf(refute_0_4164,plain,
and(b2,or(c1,d2)) = a2,
inference(resolve,[$cnf( $equal(and(b2,b3),a2) )],[refute_0_4157,refute_0_4163]) ).
cnf(refute_0_4165,plain,
( and(b2,or(c1,d2)) != a2
| c1 != and(b2,or(c1,d2))
| c1 = a2 ),
introduced(tautology,[equality,[$cnf( $equal(c1,and(b2,or(c1,d2))) ),[1],$fot(a2)]]) ).
cnf(refute_0_4166,plain,
( c1 != and(b2,or(c1,d2))
| c1 = a2 ),
inference(resolve,[$cnf( $equal(and(b2,or(c1,d2)),a2) )],[refute_0_4164,refute_0_4165]) ).
cnf(refute_0_4167,plain,
( and(b2,and(c1,or(c1,d2))) != and(b2,or(c1,d2))
| c1 = a2 ),
inference(resolve,[$cnf( $equal(c1,and(b2,or(c1,d2))) )],[refute_0_4155,refute_0_4166]) ).
cnf(refute_0_4168,plain,
c1 = a2,
inference(resolve,[$cnf( $equal(and(b2,and(c1,or(c1,d2))),and(b2,or(c1,d2))) )],[refute_0_2427,refute_0_4167]) ).
cnf(refute_0_4169,plain,
input(c1,a1) = input(c1,a1),
introduced(tautology,[refl,[$fot(input(c1,a1))]]) ).
cnf(refute_0_4170,plain,
( c1 != a2
| input(c1,a1) != input(c1,a1)
| input(c1,a1) = input(a2,a1) ),
introduced(tautology,[equality,[$cnf( $equal(input(c1,a1),input(c1,a1)) ),[1,0],$fot(a2)]]) ).
cnf(refute_0_4171,plain,
( c1 != a2
| input(c1,a1) = input(a2,a1) ),
inference(resolve,[$cnf( $equal(input(c1,a1),input(c1,a1)) )],[refute_0_4169,refute_0_4170]) ).
cnf(refute_0_4172,plain,
input(c1,a1) = input(a2,a1),
inference(resolve,[$cnf( $equal(c1,a2) )],[refute_0_4168,refute_0_4171]) ).
cnf(refute_0_4173,plain,
( input(c1,a1) != input(a2,a1)
| ~ circuit(input(a2,a1),output(a1,c1))
| circuit(input(c1,a1),output(a1,c1)) ),
introduced(tautology,[equality,[$cnf( ~ circuit(input(c1,a1),output(a1,c1)) ),[0],$fot(input(a2,a1))]]) ).
cnf(refute_0_4174,plain,
( ~ circuit(input(a2,a1),output(a1,c1))
| circuit(input(c1,a1),output(a1,c1)) ),
inference(resolve,[$cnf( $equal(input(c1,a1),input(a2,a1)) )],[refute_0_4172,refute_0_4173]) ).
cnf(refute_0_4175,plain,
output(a1,c1) = output(a1,c1),
introduced(tautology,[refl,[$fot(output(a1,c1))]]) ).
cnf(refute_0_4176,plain,
( c1 != a2
| output(a1,c1) != output(a1,c1)
| output(a1,c1) = output(a1,a2) ),
introduced(tautology,[equality,[$cnf( $equal(output(a1,c1),output(a1,c1)) ),[1,1],$fot(a2)]]) ).
cnf(refute_0_4177,plain,
( c1 != a2
| output(a1,c1) = output(a1,a2) ),
inference(resolve,[$cnf( $equal(output(a1,c1),output(a1,c1)) )],[refute_0_4175,refute_0_4176]) ).
cnf(refute_0_4178,plain,
output(a1,c1) = output(a1,a2),
inference(resolve,[$cnf( $equal(c1,a2) )],[refute_0_4168,refute_0_4177]) ).
cnf(refute_0_4179,plain,
( output(a1,c1) != output(a1,a2)
| ~ circuit(input(a2,a1),output(a1,a2))
| circuit(input(a2,a1),output(a1,c1)) ),
introduced(tautology,[equality,[$cnf( ~ circuit(input(a2,a1),output(a1,c1)) ),[1],$fot(output(a1,a2))]]) ).
cnf(refute_0_4180,plain,
( ~ circuit(input(a2,a1),output(a1,a2))
| circuit(input(a2,a1),output(a1,c1)) ),
inference(resolve,[$cnf( $equal(output(a1,c1),output(a1,a2)) )],[refute_0_4178,refute_0_4179]) ).
cnf(refute_0_4181,plain,
( ~ circuit(input(a2,a1),output(a1,a2))
| circuit(input(c1,a1),output(a1,c1)) ),
inference(resolve,[$cnf( circuit(input(a2,a1),output(a1,c1)) )],[refute_0_4180,refute_0_4174]) ).
cnf(refute_0_4182,plain,
~ circuit(input(a2,a1),output(a1,a2)),
inference(resolve,[$cnf( circuit(input(c1,a1),output(a1,c1)) )],[refute_0_4181,refute_0_2292]) ).
cnf(refute_0_4183,plain,
( input(i1,i2) != input(c1,i2)
| ~ circuit(input(i1,i2),output(a1,a2))
| circuit(input(c1,i2),output(a1,a2)) ),
introduced(tautology,[equality,[$cnf( circuit(input(i1,i2),output(a1,a2)) ),[0],$fot(input(c1,i2))]]) ).
cnf(refute_0_4184,plain,
( ~ circuit(input(i1,i2),output(a1,a2))
| circuit(input(c1,i2),output(a1,a2)) ),
inference(resolve,[$cnf( $equal(input(i1,i2),input(c1,i2)) )],[refute_0_295,refute_0_4183]) ).
cnf(refute_0_4185,plain,
circuit(input(c1,i2),output(a1,a2)),
inference(resolve,[$cnf( circuit(input(i1,i2),output(a1,a2)) )],[circuit_description,refute_0_4184]) ).
cnf(refute_0_4186,plain,
( input(c1,i2) != input(c1,c2)
| ~ circuit(input(c1,i2),output(a1,a2))
| circuit(input(c1,c2),output(a1,a2)) ),
introduced(tautology,[equality,[$cnf( circuit(input(c1,i2),output(a1,a2)) ),[0],$fot(input(c1,c2))]]) ).
cnf(refute_0_4187,plain,
( ~ circuit(input(c1,i2),output(a1,a2))
| circuit(input(c1,c2),output(a1,a2)) ),
inference(resolve,[$cnf( $equal(input(c1,i2),input(c1,c2)) )],[refute_0_534,refute_0_4186]) ).
cnf(refute_0_4188,plain,
circuit(input(c1,c2),output(a1,a2)),
inference(resolve,[$cnf( circuit(input(c1,i2),output(a1,a2)) )],[refute_0_4185,refute_0_4187]) ).
cnf(refute_0_4189,plain,
( input(c1,c2) != input(c1,a1)
| ~ circuit(input(c1,c2),output(a1,a2))
| circuit(input(c1,a1),output(a1,a2)) ),
introduced(tautology,[equality,[$cnf( circuit(input(c1,c2),output(a1,a2)) ),[0],$fot(input(c1,a1))]]) ).
cnf(refute_0_4190,plain,
( ~ circuit(input(c1,c2),output(a1,a2))
| circuit(input(c1,a1),output(a1,a2)) ),
inference(resolve,[$cnf( $equal(input(c1,c2),input(c1,a1)) )],[refute_0_2282,refute_0_4189]) ).
cnf(refute_0_4191,plain,
circuit(input(c1,a1),output(a1,a2)),
inference(resolve,[$cnf( circuit(input(c1,c2),output(a1,a2)) )],[refute_0_4188,refute_0_4190]) ).
cnf(refute_0_4192,plain,
( input(c1,a1) != input(a2,a1)
| ~ circuit(input(c1,a1),output(a1,a2))
| circuit(input(a2,a1),output(a1,a2)) ),
introduced(tautology,[equality,[$cnf( circuit(input(c1,a1),output(a1,a2)) ),[0],$fot(input(a2,a1))]]) ).
cnf(refute_0_4193,plain,
( ~ circuit(input(c1,a1),output(a1,a2))
| circuit(input(a2,a1),output(a1,a2)) ),
inference(resolve,[$cnf( $equal(input(c1,a1),input(a2,a1)) )],[refute_0_4172,refute_0_4192]) ).
cnf(refute_0_4194,plain,
circuit(input(a2,a1),output(a1,a2)),
inference(resolve,[$cnf( circuit(input(c1,a1),output(a1,a2)) )],[refute_0_4191,refute_0_4193]) ).
cnf(refute_0_4195,plain,
$false,
inference(resolve,[$cnf( circuit(input(a2,a1),output(a1,a2)) )],[refute_0_4194,refute_0_4182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV001-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n006.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 : Thu Jun 16 23:13:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.17/3.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/3.33
% 3.17/3.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.52/3.74
%------------------------------------------------------------------------------