TSTP Solution File: KLE092+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE092+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:15:13 EDT 2022
% Result : Theorem 8.28s 8.48s
% Output : CNFRefutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 178
% Syntax : Number of formulae : 719 ( 390 unt; 0 def)
% Number of atoms : 1196 (1195 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 959 ( 482 ~; 477 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 821 ( 19 sgn 78 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(domain1,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero ).
fof(domain2,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ).
fof(domain3,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one ).
fof(domain4,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)) ).
fof(codomain1,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero ).
fof(codomain2,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ).
fof(codomain3,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one ).
fof(codomain4,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)) ).
fof(goals,conjecture,
! [X0] : domain(coantidomain(X0)) = coantidomain(X0) ).
fof(subgoal_0,plain,
! [X0] : domain(coantidomain(X0)) = coantidomain(X0),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : domain(coantidomain(X0)) = coantidomain(X0),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : domain(coantidomain(X0)) != coantidomain(X0),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
domain(coantidomain(skolemFOFtoCNF_X0)) != coantidomain(skolemFOFtoCNF_X0),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_3,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_5,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_7,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_9,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_11,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_13,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_15,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_17,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[codomain1]) ).
fof(normalize_0_21,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(canonicalize,[],[codomain2]) ).
fof(normalize_0_23,plain,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[codomain4]) ).
fof(normalize_0_25,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_27,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[codomain3]) ).
fof(normalize_0_29,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_31,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_33,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(specialize,[],[normalize_0_32]) ).
cnf(refute_0_0,plain,
domain(coantidomain(skolemFOFtoCNF_X0)) != coantidomain(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
domain(antidomain(X_6)) = antidomain(antidomain(antidomain(X_6))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(antidomain(X_6)))]]) ).
cnf(refute_0_3,plain,
domain(X_6) = antidomain(antidomain(X_6)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( domain(X_6) != antidomain(antidomain(X_6))
| antidomain(antidomain(X_6)) = domain(X_6) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(X_6))),bind(Y,$fot(antidomain(antidomain(X_6))))]]) ).
cnf(refute_0_8,plain,
antidomain(antidomain(X_6)) = domain(X_6),
inference(resolve,[$cnf( $equal(domain(X_6),antidomain(antidomain(X_6))) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( antidomain(antidomain(X_6)) != domain(X_6)
| domain(antidomain(X_6)) != antidomain(antidomain(antidomain(X_6)))
| domain(antidomain(X_6)) = antidomain(domain(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_6)),antidomain(antidomain(antidomain(X_6)))) ),[1,0],$fot(domain(X_6))]]) ).
cnf(refute_0_10,plain,
( domain(antidomain(X_6)) != antidomain(antidomain(antidomain(X_6)))
| domain(antidomain(X_6)) = antidomain(domain(X_6)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_6)),domain(X_6)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
domain(antidomain(X_6)) = antidomain(domain(X_6)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_6)),antidomain(antidomain(antidomain(X_6)))) )],[refute_0_2,refute_0_10]) ).
cnf(refute_0_12,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_13,plain,
multiplication(addition(antidomain(X_74),X_73),X_74) = addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74)),
inference(subst,[],[refute_0_12:[bind(A,$fot(antidomain(X_74))),bind(B,$fot(X_73)),bind(C,$fot(X_74))]]) ).
cnf(refute_0_14,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_15,plain,
multiplication(antidomain(X_74),X_74) = zero,
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_74))]]) ).
cnf(refute_0_16,plain,
( multiplication(addition(antidomain(X_74),X_73),X_74) != addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74))
| multiplication(antidomain(X_74),X_74) != zero
| multiplication(addition(antidomain(X_74),X_73),X_74) = addition(zero,multiplication(X_73,X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_74),X_73),X_74),addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_17,plain,
( multiplication(addition(antidomain(X_74),X_73),X_74) != addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74))
| multiplication(addition(antidomain(X_74),X_73),X_74) = addition(zero,multiplication(X_73,X_74)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_74),X_74),zero) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
multiplication(addition(antidomain(X_74),X_73),X_74) = addition(zero,multiplication(X_73,X_74)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_74),X_73),X_74),addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74))) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_20,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_21,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_20:[bind(B,$fot(zero))]]) ).
cnf(refute_0_22,plain,
( addition(A,zero) != A
| addition(A,zero) != addition(zero,A)
| addition(zero,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,zero),A) ),[0],$fot(addition(zero,A))]]) ).
cnf(refute_0_23,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_19,refute_0_23]) ).
cnf(refute_0_25,plain,
addition(zero,multiplication(X_73,X_74)) = multiplication(X_73,X_74),
inference(subst,[],[refute_0_24:[bind(A,$fot(multiplication(X_73,X_74)))]]) ).
cnf(refute_0_26,plain,
( addition(zero,multiplication(X_73,X_74)) != multiplication(X_73,X_74)
| multiplication(addition(antidomain(X_74),X_73),X_74) != addition(zero,multiplication(X_73,X_74))
| multiplication(addition(antidomain(X_74),X_73),X_74) = multiplication(X_73,X_74) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_74),X_73),X_74),addition(zero,multiplication(X_73,X_74))) ),[1],$fot(multiplication(X_73,X_74))]]) ).
cnf(refute_0_27,plain,
( multiplication(addition(antidomain(X_74),X_73),X_74) != addition(zero,multiplication(X_73,X_74))
| multiplication(addition(antidomain(X_74),X_73),X_74) = multiplication(X_73,X_74) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_73,X_74)),multiplication(X_73,X_74)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
multiplication(addition(antidomain(X_74),X_73),X_74) = multiplication(X_73,X_74),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_74),X_73),X_74),addition(zero,multiplication(X_73,X_74))) )],[refute_0_18,refute_0_27]) ).
cnf(refute_0_29,plain,
multiplication(addition(antidomain(X_78),domain(X_78)),X_78) = multiplication(domain(X_78),X_78),
inference(subst,[],[refute_0_28:[bind(X_73,$fot(domain(X_78))),bind(X_74,$fot(X_78))]]) ).
cnf(refute_0_30,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_31,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_32,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_20,refute_0_31]) ).
cnf(refute_0_33,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_32:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_34,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_35,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_38,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_1,refute_0_37]) ).
cnf(refute_0_39,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_40,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),antidomain(antidomain(X0)))
| antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) ),[1,1],$fot(domain(X0))]]) ).
cnf(refute_0_41,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_44,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_36,refute_0_44]) ).
cnf(refute_0_46,plain,
addition(antidomain(X_78),domain(X_78)) = one,
inference(subst,[],[refute_0_45:[bind(X0,$fot(X_78))]]) ).
cnf(refute_0_47,plain,
( addition(antidomain(X_78),domain(X_78)) != one
| multiplication(addition(antidomain(X_78),domain(X_78)),X_78) != multiplication(domain(X_78),X_78)
| multiplication(one,X_78) = multiplication(domain(X_78),X_78) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_78),domain(X_78)),X_78),multiplication(domain(X_78),X_78)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_48,plain,
( multiplication(addition(antidomain(X_78),domain(X_78)),X_78) != multiplication(domain(X_78),X_78)
| multiplication(one,X_78) = multiplication(domain(X_78),X_78) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_78),domain(X_78)),one) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
multiplication(one,X_78) = multiplication(domain(X_78),X_78),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_78),domain(X_78)),X_78),multiplication(domain(X_78),X_78)) )],[refute_0_29,refute_0_48]) ).
cnf(refute_0_50,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_51,plain,
multiplication(one,X_78) = X_78,
inference(subst,[],[refute_0_50:[bind(A,$fot(X_78))]]) ).
cnf(refute_0_52,plain,
( multiplication(one,X_78) != X_78
| multiplication(one,X_78) != multiplication(domain(X_78),X_78)
| X_78 = multiplication(domain(X_78),X_78) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_78),multiplication(domain(X_78),X_78)) ),[0],$fot(X_78)]]) ).
cnf(refute_0_53,plain,
( multiplication(one,X_78) != multiplication(domain(X_78),X_78)
| X_78 = multiplication(domain(X_78),X_78) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_78),X_78) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
X_78 = multiplication(domain(X_78),X_78),
inference(resolve,[$cnf( $equal(multiplication(one,X_78),multiplication(domain(X_78),X_78)) )],[refute_0_49,refute_0_53]) ).
cnf(refute_0_55,plain,
antidomain(X_6) = multiplication(domain(antidomain(X_6)),antidomain(X_6)),
inference(subst,[],[refute_0_54:[bind(X_78,$fot(antidomain(X_6)))]]) ).
cnf(refute_0_56,plain,
( antidomain(X_6) != multiplication(domain(antidomain(X_6)),antidomain(X_6))
| domain(antidomain(X_6)) != antidomain(domain(X_6))
| antidomain(X_6) = multiplication(antidomain(domain(X_6)),antidomain(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(X_6),multiplication(domain(antidomain(X_6)),antidomain(X_6))) ),[1,0],$fot(antidomain(domain(X_6)))]]) ).
cnf(refute_0_57,plain,
( antidomain(X_6) != multiplication(domain(antidomain(X_6)),antidomain(X_6))
| antidomain(X_6) = multiplication(antidomain(domain(X_6)),antidomain(X_6)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_6)),antidomain(domain(X_6))) )],[refute_0_11,refute_0_56]) ).
cnf(refute_0_58,plain,
antidomain(X_6) = multiplication(antidomain(domain(X_6)),antidomain(X_6)),
inference(resolve,[$cnf( $equal(antidomain(X_6),multiplication(domain(antidomain(X_6)),antidomain(X_6))) )],[refute_0_55,refute_0_57]) ).
cnf(refute_0_59,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_60,plain,
multiplication(antidomain(X_34),addition(X_33,X_34)) = addition(multiplication(antidomain(X_34),X_33),multiplication(antidomain(X_34),X_34)),
inference(subst,[],[refute_0_59:[bind(A,$fot(antidomain(X_34))),bind(B,$fot(X_33)),bind(C,$fot(X_34))]]) ).
cnf(refute_0_61,plain,
multiplication(antidomain(X_34),X_34) = zero,
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_34))]]) ).
cnf(refute_0_62,plain,
( multiplication(antidomain(X_34),X_34) != zero
| multiplication(antidomain(X_34),addition(X_33,X_34)) != addition(multiplication(antidomain(X_34),X_33),multiplication(antidomain(X_34),X_34))
| multiplication(antidomain(X_34),addition(X_33,X_34)) = addition(multiplication(antidomain(X_34),X_33),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_34),addition(X_33,X_34)),addition(multiplication(antidomain(X_34),X_33),multiplication(antidomain(X_34),X_34))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_63,plain,
( multiplication(antidomain(X_34),addition(X_33,X_34)) != addition(multiplication(antidomain(X_34),X_33),multiplication(antidomain(X_34),X_34))
| multiplication(antidomain(X_34),addition(X_33,X_34)) = addition(multiplication(antidomain(X_34),X_33),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_34),X_34),zero) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiplication(antidomain(X_34),addition(X_33,X_34)) = addition(multiplication(antidomain(X_34),X_33),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_34),addition(X_33,X_34)),addition(multiplication(antidomain(X_34),X_33),multiplication(antidomain(X_34),X_34))) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
addition(multiplication(antidomain(X_34),X_33),zero) = multiplication(antidomain(X_34),X_33),
inference(subst,[],[refute_0_19:[bind(A,$fot(multiplication(antidomain(X_34),X_33)))]]) ).
cnf(refute_0_66,plain,
( addition(multiplication(antidomain(X_34),X_33),zero) != multiplication(antidomain(X_34),X_33)
| multiplication(antidomain(X_34),addition(X_33,X_34)) != addition(multiplication(antidomain(X_34),X_33),zero)
| multiplication(antidomain(X_34),addition(X_33,X_34)) = multiplication(antidomain(X_34),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_34),addition(X_33,X_34)),addition(multiplication(antidomain(X_34),X_33),zero)) ),[1],$fot(multiplication(antidomain(X_34),X_33))]]) ).
cnf(refute_0_67,plain,
( multiplication(antidomain(X_34),addition(X_33,X_34)) != addition(multiplication(antidomain(X_34),X_33),zero)
| multiplication(antidomain(X_34),addition(X_33,X_34)) = multiplication(antidomain(X_34),X_33) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_34),X_33),zero),multiplication(antidomain(X_34),X_33)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
multiplication(antidomain(X_34),addition(X_33,X_34)) = multiplication(antidomain(X_34),X_33),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_34),addition(X_33,X_34)),addition(multiplication(antidomain(X_34),X_33),zero)) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(subst,[],[refute_0_68:[bind(X_33,$fot(antidomain(X0))),bind(X_34,$fot(domain(X0)))]]) ).
cnf(refute_0_70,plain,
( addition(antidomain(X0),domain(X0)) != one
| multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_71,plain,
( multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_45,refute_0_70]) ).
cnf(refute_0_72,plain,
multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_69,refute_0_71]) ).
cnf(refute_0_73,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_74,plain,
multiplication(antidomain(domain(X0)),one) = antidomain(domain(X0)),
inference(subst,[],[refute_0_73:[bind(A,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_75,plain,
( multiplication(antidomain(domain(X0)),one) != antidomain(domain(X0))
| multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0],$fot(antidomain(domain(X0)))]]) ).
cnf(refute_0_76,plain,
( multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),antidomain(domain(X0))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_72,refute_0_76]) ).
cnf(refute_0_78,plain,
( antidomain(domain(X0)) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),antidomain(X0)) = antidomain(domain(X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(antidomain(domain(X0)))),bind(Y,$fot(multiplication(antidomain(domain(X0)),antidomain(X0))))]]) ).
cnf(refute_0_79,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = antidomain(domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiplication(antidomain(domain(X_6)),antidomain(X_6)) = antidomain(domain(X_6)),
inference(subst,[],[refute_0_79:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_81,plain,
( antidomain(X_6) != multiplication(antidomain(domain(X_6)),antidomain(X_6))
| multiplication(antidomain(domain(X_6)),antidomain(X_6)) != antidomain(domain(X_6))
| antidomain(X_6) = antidomain(domain(X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(X_6),antidomain(domain(X_6))) ),[0],$fot(multiplication(antidomain(domain(X_6)),antidomain(X_6)))]]) ).
cnf(refute_0_82,plain,
( antidomain(X_6) != multiplication(antidomain(domain(X_6)),antidomain(X_6))
| antidomain(X_6) = antidomain(domain(X_6)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_6)),antidomain(X_6)),antidomain(domain(X_6))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
antidomain(X_6) = antidomain(domain(X_6)),
inference(resolve,[$cnf( $equal(antidomain(X_6),multiplication(antidomain(domain(X_6)),antidomain(X_6))) )],[refute_0_58,refute_0_82]) ).
cnf(refute_0_84,plain,
( antidomain(X_6) != antidomain(domain(X_6))
| antidomain(domain(X_6)) = antidomain(X_6) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(antidomain(X_6))),bind(Y,$fot(antidomain(domain(X_6))))]]) ).
cnf(refute_0_85,plain,
antidomain(domain(X_6)) = antidomain(X_6),
inference(resolve,[$cnf( $equal(antidomain(X_6),antidomain(domain(X_6))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( antidomain(domain(X_6)) != antidomain(X_6)
| domain(antidomain(X_6)) != antidomain(domain(X_6))
| domain(antidomain(X_6)) = antidomain(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_6)),antidomain(domain(X_6))) ),[1],$fot(antidomain(X_6))]]) ).
cnf(refute_0_87,plain,
( domain(antidomain(X_6)) != antidomain(domain(X_6))
| domain(antidomain(X_6)) = antidomain(X_6) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_6)),antidomain(X_6)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
domain(antidomain(X_6)) = antidomain(X_6),
inference(resolve,[$cnf( $equal(domain(antidomain(X_6)),antidomain(domain(X_6))) )],[refute_0_11,refute_0_87]) ).
cnf(refute_0_89,plain,
domain(antidomain(codomain(X_915))) = antidomain(codomain(X_915)),
inference(subst,[],[refute_0_88:[bind(X_6,$fot(codomain(X_915)))]]) ).
cnf(refute_0_90,plain,
multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) = addition(multiplication(coantidomain(X_211),B),multiplication(coantidomain(X_211),domain(codomain(X_211)))),
inference(subst,[],[refute_0_59:[bind(A,$fot(coantidomain(X_211))),bind(C,$fot(domain(codomain(X_211))))]]) ).
cnf(refute_0_91,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_92,plain,
multiplication(multiplication(codomain(antidomain(X_118)),X_118),coantidomain(multiplication(codomain(antidomain(X_118)),X_118))) = zero,
inference(subst,[],[refute_0_91:[bind(X0,$fot(multiplication(codomain(antidomain(X_118)),X_118)))]]) ).
cnf(refute_0_93,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_94,plain,
codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_95,plain,
( codomain(X0) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_96,plain,
coantidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(coantidomain(coantidomain(X0)),X1),
introduced(tautology,[refl,[$fot(multiplication(coantidomain(coantidomain(X0)),X1))]]) ).
cnf(refute_0_98,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(coantidomain(coantidomain(X0)),X1)
| multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(coantidomain(coantidomain(X0)),X1)) ),[1,0],$fot(codomain(X0))]]) ).
cnf(refute_0_99,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(coantidomain(coantidomain(X0)),X1)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
introduced(tautology,[refl,[$fot(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))]]) ).
cnf(refute_0_102,plain,
( coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(codomain(X0),X1)
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) ),[1,0],$fot(multiplication(codomain(X0),X1))]]) ).
cnf(refute_0_103,plain,
( multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(codomain(X0),X1)
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(codomain(X0),X1)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
introduced(tautology,[refl,[$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))))]]) ).
cnf(refute_0_106,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))) ),[1,1],$fot(coantidomain(multiplication(codomain(X0),X1)))]]) ).
cnf(refute_0_107,plain,
( coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) ),[0],$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))))]]) ).
cnf(refute_0_110,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(codomain(X0),X1))) ),[0],$fot(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))]]) ).
cnf(refute_0_112,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_104,refute_0_111]) ).
cnf(refute_0_113,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_110,refute_0_112]) ).
cnf(refute_0_114,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_93,refute_0_113]) ).
cnf(refute_0_115,plain,
addition(coantidomain(multiplication(antidomain(X_116),X_116)),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = coantidomain(multiplication(codomain(antidomain(X_116)),X_116)),
inference(subst,[],[refute_0_114:[bind(X0,$fot(antidomain(X_116))),bind(X1,$fot(X_116))]]) ).
cnf(refute_0_116,plain,
multiplication(antidomain(X_116),X_116) = zero,
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_116))]]) ).
cnf(refute_0_117,plain,
( addition(coantidomain(multiplication(antidomain(X_116),X_116)),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != coantidomain(multiplication(codomain(antidomain(X_116)),X_116))
| multiplication(antidomain(X_116),X_116) != zero
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = coantidomain(multiplication(codomain(antidomain(X_116)),X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(X_116),X_116)),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_118,plain,
( addition(coantidomain(multiplication(antidomain(X_116),X_116)),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != coantidomain(multiplication(codomain(antidomain(X_116)),X_116))
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = coantidomain(multiplication(codomain(antidomain(X_116)),X_116)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_116),X_116),zero) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = coantidomain(multiplication(codomain(antidomain(X_116)),X_116)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(X_116),X_116)),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_121,plain,
addition(coantidomain(X0),addition(codomain(X0),X_57)) = addition(addition(coantidomain(X0),codomain(X0)),X_57),
inference(subst,[],[refute_0_120:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(codomain(X0))),bind(C,$fot(X_57))]]) ).
cnf(refute_0_122,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_123,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(subst,[],[refute_0_32:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_124,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) ),[0],$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_125,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_128,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) ),[1,1],$fot(codomain(X0))]]) ).
cnf(refute_0_129,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_96,refute_0_129]) ).
cnf(refute_0_131,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).
cnf(refute_0_132,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
addition(coantidomain(X0),codomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_126,refute_0_132]) ).
cnf(refute_0_134,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_57)) != addition(addition(coantidomain(X0),codomain(X0)),X_57)
| addition(coantidomain(X0),codomain(X0)) != one
| addition(coantidomain(X0),addition(codomain(X0),X_57)) = addition(one,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_57)),addition(addition(coantidomain(X0),codomain(X0)),X_57)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_135,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_57)) != addition(addition(coantidomain(X0),codomain(X0)),X_57)
| addition(coantidomain(X0),addition(codomain(X0),X_57)) = addition(one,X_57) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(coantidomain(X0),addition(codomain(X0),X_57)) = addition(one,X_57),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_57)),addition(addition(coantidomain(X0),codomain(X0)),X_57)) )],[refute_0_121,refute_0_135]) ).
cnf(refute_0_137,plain,
addition(coantidomain(X_61),addition(codomain(X_61),codomain(X_61))) = addition(one,codomain(X_61)),
inference(subst,[],[refute_0_136:[bind(X0,$fot(X_61)),bind(X_57,$fot(codomain(X_61)))]]) ).
cnf(refute_0_138,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_139,plain,
addition(codomain(X_61),codomain(X_61)) = codomain(X_61),
inference(subst,[],[refute_0_138:[bind(A,$fot(codomain(X_61)))]]) ).
cnf(refute_0_140,plain,
( addition(coantidomain(X_61),addition(codomain(X_61),codomain(X_61))) != addition(one,codomain(X_61))
| addition(codomain(X_61),codomain(X_61)) != codomain(X_61)
| addition(coantidomain(X_61),codomain(X_61)) = addition(one,codomain(X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_61),addition(codomain(X_61),codomain(X_61))),addition(one,codomain(X_61))) ),[0,1],$fot(codomain(X_61))]]) ).
cnf(refute_0_141,plain,
( addition(coantidomain(X_61),addition(codomain(X_61),codomain(X_61))) != addition(one,codomain(X_61))
| addition(coantidomain(X_61),codomain(X_61)) = addition(one,codomain(X_61)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_61),codomain(X_61)),codomain(X_61)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
addition(coantidomain(X_61),codomain(X_61)) = addition(one,codomain(X_61)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_61),addition(codomain(X_61),codomain(X_61))),addition(one,codomain(X_61))) )],[refute_0_137,refute_0_141]) ).
cnf(refute_0_143,plain,
addition(coantidomain(X_61),codomain(X_61)) = one,
inference(subst,[],[refute_0_133:[bind(X0,$fot(X_61))]]) ).
cnf(refute_0_144,plain,
( addition(coantidomain(X_61),codomain(X_61)) != addition(one,codomain(X_61))
| addition(coantidomain(X_61),codomain(X_61)) != one
| one = addition(one,codomain(X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_61),codomain(X_61)),addition(one,codomain(X_61))) ),[0],$fot(one)]]) ).
cnf(refute_0_145,plain,
( addition(coantidomain(X_61),codomain(X_61)) != addition(one,codomain(X_61))
| one = addition(one,codomain(X_61)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_61),codomain(X_61)),one) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
one = addition(one,codomain(X_61)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_61),codomain(X_61)),addition(one,codomain(X_61))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
one = addition(one,codomain(coantidomain(X_7))),
inference(subst,[],[refute_0_146:[bind(X_61,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_148,plain,
codomain(coantidomain(X_7)) = coantidomain(coantidomain(coantidomain(X_7))),
inference(subst,[],[refute_0_94:[bind(X0,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_149,plain,
codomain(X_7) = coantidomain(coantidomain(X_7)),
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_7))]]) ).
cnf(refute_0_150,plain,
( codomain(X_7) != coantidomain(coantidomain(X_7))
| coantidomain(coantidomain(X_7)) = codomain(X_7) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(codomain(X_7))),bind(Y,$fot(coantidomain(coantidomain(X_7))))]]) ).
cnf(refute_0_151,plain,
coantidomain(coantidomain(X_7)) = codomain(X_7),
inference(resolve,[$cnf( $equal(codomain(X_7),coantidomain(coantidomain(X_7))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( coantidomain(coantidomain(X_7)) != codomain(X_7)
| codomain(coantidomain(X_7)) != coantidomain(coantidomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(coantidomain(coantidomain(X_7)))) ),[1,0],$fot(codomain(X_7))]]) ).
cnf(refute_0_153,plain,
( codomain(coantidomain(X_7)) != coantidomain(coantidomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_7)),codomain(X_7)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(coantidomain(coantidomain(X_7)))) )],[refute_0_148,refute_0_153]) ).
cnf(refute_0_155,plain,
( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| one != addition(one,codomain(coantidomain(X_7)))
| one = addition(one,coantidomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_7)))) ),[1,1],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_156,plain,
( one != addition(one,codomain(coantidomain(X_7)))
| one = addition(one,coantidomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
one = addition(one,coantidomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_7)))) )],[refute_0_147,refute_0_156]) ).
cnf(refute_0_158,plain,
addition(coantidomain(X_61),addition(codomain(X_61),coantidomain(codomain(X_61)))) = addition(one,coantidomain(codomain(X_61))),
inference(subst,[],[refute_0_136:[bind(X0,$fot(X_61)),bind(X_57,$fot(coantidomain(codomain(X_61))))]]) ).
cnf(refute_0_159,plain,
addition(coantidomain(coantidomain(X_7)),codomain(coantidomain(X_7))) = one,
inference(subst,[],[refute_0_133:[bind(X0,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_160,plain,
( addition(coantidomain(coantidomain(X_7)),codomain(coantidomain(X_7))) != one
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),codomain(coantidomain(X_7))),one) ),[0,1],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_161,plain,
( addition(coantidomain(coantidomain(X_7)),codomain(coantidomain(X_7))) != one
| addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) = one ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_154,refute_0_160]) ).
cnf(refute_0_162,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),codomain(coantidomain(X_7))),one) )],[refute_0_159,refute_0_161]) ).
cnf(refute_0_163,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) = addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))),
introduced(tautology,[refl,[$fot(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))))]]) ).
cnf(refute_0_164,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) != addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7)))
| coantidomain(coantidomain(X_7)) != codomain(X_7)
| addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) = addition(codomain(X_7),coantidomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))),addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7)))) ),[1,0],$fot(codomain(X_7))]]) ).
cnf(refute_0_165,plain,
( coantidomain(coantidomain(X_7)) != codomain(X_7)
| addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) = addition(codomain(X_7),coantidomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))),addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7)))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) = addition(codomain(X_7),coantidomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_7)),codomain(X_7)) )],[refute_0_151,refute_0_165]) ).
cnf(refute_0_167,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) != addition(codomain(X_7),coantidomain(codomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) != one
| addition(codomain(X_7),coantidomain(codomain(X_7))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))),one) ),[0],$fot(addition(codomain(X_7),coantidomain(codomain(X_7))))]]) ).
cnf(refute_0_168,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))) != one
| addition(codomain(X_7),coantidomain(codomain(X_7))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))),addition(codomain(X_7),coantidomain(codomain(X_7)))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
addition(codomain(X_7),coantidomain(codomain(X_7))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(X_7))),one) )],[refute_0_162,refute_0_168]) ).
cnf(refute_0_170,plain,
addition(codomain(X_61),coantidomain(codomain(X_61))) = one,
inference(subst,[],[refute_0_169:[bind(X_7,$fot(X_61))]]) ).
cnf(refute_0_171,plain,
( addition(coantidomain(X_61),addition(codomain(X_61),coantidomain(codomain(X_61)))) != addition(one,coantidomain(codomain(X_61)))
| addition(codomain(X_61),coantidomain(codomain(X_61))) != one
| addition(coantidomain(X_61),one) = addition(one,coantidomain(codomain(X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_61),addition(codomain(X_61),coantidomain(codomain(X_61)))),addition(one,coantidomain(codomain(X_61)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_172,plain,
( addition(coantidomain(X_61),addition(codomain(X_61),coantidomain(codomain(X_61)))) != addition(one,coantidomain(codomain(X_61)))
| addition(coantidomain(X_61),one) = addition(one,coantidomain(codomain(X_61))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_61),coantidomain(codomain(X_61))),one) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
addition(coantidomain(X_61),one) = addition(one,coantidomain(codomain(X_61))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_61),addition(codomain(X_61),coantidomain(codomain(X_61)))),addition(one,coantidomain(codomain(X_61)))) )],[refute_0_158,refute_0_172]) ).
cnf(refute_0_174,plain,
addition(coantidomain(X_61),one) = addition(one,coantidomain(X_61)),
inference(subst,[],[refute_0_32:[bind(A,$fot(one)),bind(B,$fot(coantidomain(X_61)))]]) ).
cnf(refute_0_175,plain,
( addition(coantidomain(X_61),one) != addition(one,coantidomain(X_61))
| addition(coantidomain(X_61),one) != addition(one,coantidomain(codomain(X_61)))
| addition(one,coantidomain(X_61)) = addition(one,coantidomain(codomain(X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_61),one),addition(one,coantidomain(codomain(X_61)))) ),[0],$fot(addition(one,coantidomain(X_61)))]]) ).
cnf(refute_0_176,plain,
( addition(coantidomain(X_61),one) != addition(one,coantidomain(codomain(X_61)))
| addition(one,coantidomain(X_61)) = addition(one,coantidomain(codomain(X_61))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_61),one),addition(one,coantidomain(X_61))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
addition(one,coantidomain(X_61)) = addition(one,coantidomain(codomain(X_61))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_61),one),addition(one,coantidomain(codomain(X_61)))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
( addition(one,coantidomain(X_61)) != addition(one,coantidomain(codomain(X_61)))
| addition(one,coantidomain(codomain(X_61))) = addition(one,coantidomain(X_61)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(one,coantidomain(X_61)))),bind(Y,$fot(addition(one,coantidomain(codomain(X_61)))))]]) ).
cnf(refute_0_179,plain,
addition(one,coantidomain(codomain(X_61))) = addition(one,coantidomain(X_61)),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_61)),addition(one,coantidomain(codomain(X_61)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
addition(one,coantidomain(codomain(X_7))) = addition(one,coantidomain(X_7)),
inference(subst,[],[refute_0_179:[bind(X_61,$fot(X_7))]]) ).
cnf(refute_0_181,plain,
( addition(one,coantidomain(codomain(X_7))) != addition(one,coantidomain(X_7))
| one != addition(one,coantidomain(codomain(X_7)))
| one = addition(one,coantidomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_7)))) ),[1],$fot(addition(one,coantidomain(X_7)))]]) ).
cnf(refute_0_182,plain,
( one != addition(one,coantidomain(codomain(X_7)))
| one = addition(one,coantidomain(X_7)) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_7))),addition(one,coantidomain(X_7))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
one = addition(one,coantidomain(X_7)),
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_7)))) )],[refute_0_157,refute_0_182]) ).
cnf(refute_0_184,plain,
( one != addition(one,coantidomain(X_7))
| addition(one,coantidomain(X_7)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(addition(one,coantidomain(X_7))))]]) ).
cnf(refute_0_185,plain,
addition(one,coantidomain(X_7)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(X_7))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = one,
inference(subst,[],[refute_0_185:[bind(X_7,$fot(multiplication(codomain(antidomain(X_116)),X_116)))]]) ).
cnf(refute_0_187,plain,
addition(coantidomain(one),codomain(one)) = one,
inference(subst,[],[refute_0_133:[bind(X0,$fot(one))]]) ).
cnf(refute_0_188,plain,
codomain(one) = coantidomain(coantidomain(one)),
inference(subst,[],[refute_0_94:[bind(X0,$fot(one))]]) ).
cnf(refute_0_189,plain,
multiplication(one,coantidomain(one)) = coantidomain(one),
inference(subst,[],[refute_0_50:[bind(A,$fot(coantidomain(one)))]]) ).
cnf(refute_0_190,plain,
multiplication(one,coantidomain(one)) = zero,
inference(subst,[],[refute_0_91:[bind(X0,$fot(one))]]) ).
cnf(refute_0_191,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| multiplication(one,coantidomain(one)) != zero
| zero = coantidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_192,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| zero = coantidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
zero = coantidomain(one),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
( zero != coantidomain(one)
| coantidomain(one) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(coantidomain(one)))]]) ).
cnf(refute_0_195,plain,
coantidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,coantidomain(one)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
( coantidomain(one) != zero
| codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_197,plain,
( codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
codomain(one) = coantidomain(zero),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) )],[refute_0_188,refute_0_197]) ).
cnf(refute_0_199,plain,
( addition(coantidomain(one),codomain(one)) != one
| codomain(one) != coantidomain(zero)
| addition(coantidomain(one),coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) ),[0,1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_200,plain,
( addition(coantidomain(one),codomain(one)) != one
| addition(coantidomain(one),coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
addition(coantidomain(one),coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) )],[refute_0_187,refute_0_200]) ).
cnf(refute_0_202,plain,
addition(zero,coantidomain(zero)) = coantidomain(zero),
inference(subst,[],[refute_0_24:[bind(A,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_203,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(coantidomain(one),coantidomain(zero)),
introduced(tautology,[refl,[$fot(addition(coantidomain(one),coantidomain(zero)))]]) ).
cnf(refute_0_204,plain,
( addition(coantidomain(one),coantidomain(zero)) != addition(coantidomain(one),coantidomain(zero))
| coantidomain(one) != zero
| addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_205,plain,
( coantidomain(one) != zero
| addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_195,refute_0_205]) ).
cnf(refute_0_207,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_208,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_207]) ).
cnf(refute_0_209,plain,
( addition(coantidomain(one),coantidomain(zero)) != addition(zero,coantidomain(zero))
| addition(zero,coantidomain(zero)) != coantidomain(zero)
| addition(coantidomain(one),coantidomain(zero)) = coantidomain(zero) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(coantidomain(one),coantidomain(zero)))),bind(Y,$fot(addition(zero,coantidomain(zero)))),bind(Z,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_210,plain,
( addition(zero,coantidomain(zero)) != coantidomain(zero)
| addition(coantidomain(one),coantidomain(zero)) = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(zero,coantidomain(zero))) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
addition(coantidomain(one),coantidomain(zero)) = coantidomain(zero),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),coantidomain(zero)) )],[refute_0_202,refute_0_210]) ).
cnf(refute_0_212,plain,
( addition(coantidomain(one),coantidomain(zero)) != coantidomain(zero)
| addition(coantidomain(one),coantidomain(zero)) != one
| coantidomain(zero) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) ),[0],$fot(coantidomain(zero))]]) ).
cnf(refute_0_213,plain,
( addition(coantidomain(one),coantidomain(zero)) != one
| coantidomain(zero) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),coantidomain(zero)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
coantidomain(zero) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) )],[refute_0_201,refute_0_213]) ).
cnf(refute_0_215,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),
introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))))]]) ).
cnf(refute_0_216,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116)))
| coantidomain(zero) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_217,plain,
( coantidomain(zero) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116)))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116)))
| addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = one ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))))),bind(Y,$fot(addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_220,plain,
( addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116)))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) = one,
inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),one) )],[refute_0_186,refute_0_220]) ).
cnf(refute_0_222,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != coantidomain(multiplication(codomain(antidomain(X_116)),X_116))
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != one
| one = coantidomain(multiplication(codomain(antidomain(X_116)),X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) ),[0],$fot(one)]]) ).
cnf(refute_0_223,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) != coantidomain(multiplication(codomain(antidomain(X_116)),X_116))
| one = coantidomain(multiplication(codomain(antidomain(X_116)),X_116)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),one) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
one = coantidomain(multiplication(codomain(antidomain(X_116)),X_116)),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))),coantidomain(multiplication(codomain(antidomain(X_116)),X_116))) )],[refute_0_119,refute_0_223]) ).
cnf(refute_0_225,plain,
one = coantidomain(multiplication(codomain(antidomain(X_118)),X_118)),
inference(subst,[],[refute_0_224:[bind(X_116,$fot(X_118))]]) ).
cnf(refute_0_226,plain,
( one != coantidomain(multiplication(codomain(antidomain(X_118)),X_118))
| coantidomain(multiplication(codomain(antidomain(X_118)),X_118)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(antidomain(X_118)),X_118))))]]) ).
cnf(refute_0_227,plain,
coantidomain(multiplication(codomain(antidomain(X_118)),X_118)) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(antidomain(X_118)),X_118))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
( coantidomain(multiplication(codomain(antidomain(X_118)),X_118)) != one
| multiplication(multiplication(codomain(antidomain(X_118)),X_118),coantidomain(multiplication(codomain(antidomain(X_118)),X_118))) != zero
| multiplication(multiplication(codomain(antidomain(X_118)),X_118),one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_118)),X_118),coantidomain(multiplication(codomain(antidomain(X_118)),X_118))),zero) ),[0,1],$fot(one)]]) ).
cnf(refute_0_229,plain,
( multiplication(multiplication(codomain(antidomain(X_118)),X_118),coantidomain(multiplication(codomain(antidomain(X_118)),X_118))) != zero
| multiplication(multiplication(codomain(antidomain(X_118)),X_118),one) = zero ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(antidomain(X_118)),X_118)),one) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
multiplication(multiplication(codomain(antidomain(X_118)),X_118),one) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_118)),X_118),coantidomain(multiplication(codomain(antidomain(X_118)),X_118))),zero) )],[refute_0_92,refute_0_229]) ).
cnf(refute_0_231,plain,
multiplication(multiplication(codomain(antidomain(X_118)),X_118),one) = multiplication(codomain(antidomain(X_118)),X_118),
inference(subst,[],[refute_0_73:[bind(A,$fot(multiplication(codomain(antidomain(X_118)),X_118)))]]) ).
cnf(refute_0_232,plain,
( multiplication(multiplication(codomain(antidomain(X_118)),X_118),one) != multiplication(codomain(antidomain(X_118)),X_118)
| multiplication(multiplication(codomain(antidomain(X_118)),X_118),one) != zero
| multiplication(codomain(antidomain(X_118)),X_118) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_118)),X_118),one),zero) ),[0],$fot(multiplication(codomain(antidomain(X_118)),X_118))]]) ).
cnf(refute_0_233,plain,
( multiplication(multiplication(codomain(antidomain(X_118)),X_118),one) != zero
| multiplication(codomain(antidomain(X_118)),X_118) = zero ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_118)),X_118),one),multiplication(codomain(antidomain(X_118)),X_118)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiplication(codomain(antidomain(X_118)),X_118) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_118)),X_118),one),zero) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
multiplication(codomain(antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205))))),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = zero,
inference(subst,[],[refute_0_234:[bind(X_118,$fot(multiplication(coantidomain(X_205),domain(codomain(X_205)))))]]) ).
cnf(refute_0_236,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_237,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(subst,[],[refute_0_38:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_238,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).
cnf(refute_0_239,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,antidomain(antidomain(X1)))
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) ),[1,1],$fot(domain(X1))]]) ).
cnf(refute_0_240,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_243,plain,
( antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) ),[1,0],$fot(multiplication(X0,domain(X1)))]]) ).
cnf(refute_0_244,plain,
( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).
cnf(refute_0_247,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) ),[1,1],$fot(antidomain(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_248,plain,
( antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) ),[0],$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_251,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) ),[0],$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_253,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_245,refute_0_252]) ).
cnf(refute_0_254,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_251,refute_0_253]) ).
cnf(refute_0_255,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_236,refute_0_254]) ).
cnf(refute_0_256,plain,
addition(antidomain(multiplication(coantidomain(X0),codomain(X0))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))),
inference(subst,[],[refute_0_255:[bind(X0,$fot(coantidomain(X0))),bind(X1,$fot(codomain(X0)))]]) ).
cnf(refute_0_257,plain,
multiplication(coantidomain(X0),coantidomain(coantidomain(X0))) = zero,
inference(subst,[],[refute_0_91:[bind(X0,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_258,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| multiplication(coantidomain(X0),coantidomain(coantidomain(X0))) != zero
| multiplication(coantidomain(X0),codomain(X0)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X0),coantidomain(coantidomain(X0))),zero) ),[0,1],$fot(codomain(X0))]]) ).
cnf(refute_0_259,plain,
( multiplication(coantidomain(X0),coantidomain(coantidomain(X0))) != zero
| multiplication(coantidomain(X0),codomain(X0)) = zero ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_96,refute_0_258]) ).
cnf(refute_0_260,plain,
multiplication(coantidomain(X0),codomain(X0)) = zero,
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),coantidomain(coantidomain(X0))),zero) )],[refute_0_257,refute_0_259]) ).
cnf(refute_0_261,plain,
( addition(antidomain(multiplication(coantidomain(X0),codomain(X0))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))
| multiplication(coantidomain(X0),codomain(X0)) != zero
| addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(coantidomain(X0),codomain(X0))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_262,plain,
( addition(antidomain(multiplication(coantidomain(X0),codomain(X0))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))
| addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),codomain(X0)),zero) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(coantidomain(X0),codomain(X0))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) )],[refute_0_256,refute_0_262]) ).
cnf(refute_0_264,plain,
addition(antidomain(X0),addition(domain(X0),X_57)) = addition(addition(antidomain(X0),domain(X0)),X_57),
inference(subst,[],[refute_0_120:[bind(A,$fot(antidomain(X0))),bind(B,$fot(domain(X0))),bind(C,$fot(X_57))]]) ).
cnf(refute_0_265,plain,
( addition(antidomain(X0),addition(domain(X0),X_57)) != addition(addition(antidomain(X0),domain(X0)),X_57)
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),addition(domain(X0),X_57)) = addition(one,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_57)),addition(addition(antidomain(X0),domain(X0)),X_57)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_266,plain,
( addition(antidomain(X0),addition(domain(X0),X_57)) != addition(addition(antidomain(X0),domain(X0)),X_57)
| addition(antidomain(X0),addition(domain(X0),X_57)) = addition(one,X_57) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_45,refute_0_265]) ).
cnf(refute_0_267,plain,
addition(antidomain(X0),addition(domain(X0),X_57)) = addition(one,X_57),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_57)),addition(addition(antidomain(X0),domain(X0)),X_57)) )],[refute_0_264,refute_0_266]) ).
cnf(refute_0_268,plain,
addition(antidomain(X_58),addition(domain(X_58),domain(X_58))) = addition(one,domain(X_58)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_58)),bind(X_57,$fot(domain(X_58)))]]) ).
cnf(refute_0_269,plain,
addition(domain(X_58),domain(X_58)) = domain(X_58),
inference(subst,[],[refute_0_138:[bind(A,$fot(domain(X_58)))]]) ).
cnf(refute_0_270,plain,
( addition(antidomain(X_58),addition(domain(X_58),domain(X_58))) != addition(one,domain(X_58))
| addition(domain(X_58),domain(X_58)) != domain(X_58)
| addition(antidomain(X_58),domain(X_58)) = addition(one,domain(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_58),addition(domain(X_58),domain(X_58))),addition(one,domain(X_58))) ),[0,1],$fot(domain(X_58))]]) ).
cnf(refute_0_271,plain,
( addition(antidomain(X_58),addition(domain(X_58),domain(X_58))) != addition(one,domain(X_58))
| addition(antidomain(X_58),domain(X_58)) = addition(one,domain(X_58)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_58),domain(X_58)),domain(X_58)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
addition(antidomain(X_58),domain(X_58)) = addition(one,domain(X_58)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_58),addition(domain(X_58),domain(X_58))),addition(one,domain(X_58))) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
addition(antidomain(X_58),domain(X_58)) = one,
inference(subst,[],[refute_0_45:[bind(X0,$fot(X_58))]]) ).
cnf(refute_0_274,plain,
( addition(antidomain(X_58),domain(X_58)) != addition(one,domain(X_58))
| addition(antidomain(X_58),domain(X_58)) != one
| one = addition(one,domain(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_58),domain(X_58)),addition(one,domain(X_58))) ),[0],$fot(one)]]) ).
cnf(refute_0_275,plain,
( addition(antidomain(X_58),domain(X_58)) != addition(one,domain(X_58))
| one = addition(one,domain(X_58)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_58),domain(X_58)),one) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
one = addition(one,domain(X_58)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_58),domain(X_58)),addition(one,domain(X_58))) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
one = addition(one,domain(antidomain(X_6))),
inference(subst,[],[refute_0_276:[bind(X_58,$fot(antidomain(X_6)))]]) ).
cnf(refute_0_278,plain,
( domain(antidomain(X_6)) != antidomain(domain(X_6))
| one != addition(one,domain(antidomain(X_6)))
| one = addition(one,antidomain(domain(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,domain(antidomain(X_6)))) ),[1,1],$fot(antidomain(domain(X_6)))]]) ).
cnf(refute_0_279,plain,
( one != addition(one,domain(antidomain(X_6)))
| one = addition(one,antidomain(domain(X_6))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_6)),antidomain(domain(X_6))) )],[refute_0_11,refute_0_278]) ).
cnf(refute_0_280,plain,
one = addition(one,antidomain(domain(X_6))),
inference(resolve,[$cnf( $equal(one,addition(one,domain(antidomain(X_6)))) )],[refute_0_277,refute_0_279]) ).
cnf(refute_0_281,plain,
addition(antidomain(X_58),addition(domain(X_58),antidomain(domain(X_58)))) = addition(one,antidomain(domain(X_58))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_58)),bind(X_57,$fot(antidomain(domain(X_58))))]]) ).
cnf(refute_0_282,plain,
addition(antidomain(antidomain(X_6)),domain(antidomain(X_6))) = one,
inference(subst,[],[refute_0_45:[bind(X0,$fot(antidomain(X_6)))]]) ).
cnf(refute_0_283,plain,
( addition(antidomain(antidomain(X_6)),domain(antidomain(X_6))) != one
| domain(antidomain(X_6)) != antidomain(domain(X_6))
| addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_6)),domain(antidomain(X_6))),one) ),[0,1],$fot(antidomain(domain(X_6)))]]) ).
cnf(refute_0_284,plain,
( addition(antidomain(antidomain(X_6)),domain(antidomain(X_6))) != one
| addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) = one ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_6)),antidomain(domain(X_6))) )],[refute_0_11,refute_0_283]) ).
cnf(refute_0_285,plain,
addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_6)),domain(antidomain(X_6))),one) )],[refute_0_282,refute_0_284]) ).
cnf(refute_0_286,plain,
addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) = addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))))]]) ).
cnf(refute_0_287,plain,
( addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) != addition(antidomain(antidomain(X_6)),antidomain(domain(X_6)))
| antidomain(antidomain(X_6)) != domain(X_6)
| addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) = addition(domain(X_6),antidomain(domain(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))),addition(antidomain(antidomain(X_6)),antidomain(domain(X_6)))) ),[1,0],$fot(domain(X_6))]]) ).
cnf(refute_0_288,plain,
( antidomain(antidomain(X_6)) != domain(X_6)
| addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) = addition(domain(X_6),antidomain(domain(X_6))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))),addition(antidomain(antidomain(X_6)),antidomain(domain(X_6)))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) = addition(domain(X_6),antidomain(domain(X_6))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_6)),domain(X_6)) )],[refute_0_8,refute_0_288]) ).
cnf(refute_0_290,plain,
( addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) != addition(domain(X_6),antidomain(domain(X_6)))
| addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) != one
| addition(domain(X_6),antidomain(domain(X_6))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))),one) ),[0],$fot(addition(domain(X_6),antidomain(domain(X_6))))]]) ).
cnf(refute_0_291,plain,
( addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))) != one
| addition(domain(X_6),antidomain(domain(X_6))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))),addition(domain(X_6),antidomain(domain(X_6)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
addition(domain(X_6),antidomain(domain(X_6))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(domain(X_6))),one) )],[refute_0_285,refute_0_291]) ).
cnf(refute_0_293,plain,
addition(domain(X_58),antidomain(domain(X_58))) = one,
inference(subst,[],[refute_0_292:[bind(X_6,$fot(X_58))]]) ).
cnf(refute_0_294,plain,
( addition(antidomain(X_58),addition(domain(X_58),antidomain(domain(X_58)))) != addition(one,antidomain(domain(X_58)))
| addition(domain(X_58),antidomain(domain(X_58))) != one
| addition(antidomain(X_58),one) = addition(one,antidomain(domain(X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_58),addition(domain(X_58),antidomain(domain(X_58)))),addition(one,antidomain(domain(X_58)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_295,plain,
( addition(antidomain(X_58),addition(domain(X_58),antidomain(domain(X_58)))) != addition(one,antidomain(domain(X_58)))
| addition(antidomain(X_58),one) = addition(one,antidomain(domain(X_58))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_58),antidomain(domain(X_58))),one) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
addition(antidomain(X_58),one) = addition(one,antidomain(domain(X_58))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_58),addition(domain(X_58),antidomain(domain(X_58)))),addition(one,antidomain(domain(X_58)))) )],[refute_0_281,refute_0_295]) ).
cnf(refute_0_297,plain,
addition(antidomain(X_58),one) = addition(one,antidomain(X_58)),
inference(subst,[],[refute_0_32:[bind(A,$fot(one)),bind(B,$fot(antidomain(X_58)))]]) ).
cnf(refute_0_298,plain,
( addition(antidomain(X_58),one) != addition(one,antidomain(X_58))
| addition(antidomain(X_58),one) != addition(one,antidomain(domain(X_58)))
| addition(one,antidomain(X_58)) = addition(one,antidomain(domain(X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_58),one),addition(one,antidomain(domain(X_58)))) ),[0],$fot(addition(one,antidomain(X_58)))]]) ).
cnf(refute_0_299,plain,
( addition(antidomain(X_58),one) != addition(one,antidomain(domain(X_58)))
| addition(one,antidomain(X_58)) = addition(one,antidomain(domain(X_58))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_58),one),addition(one,antidomain(X_58))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
addition(one,antidomain(X_58)) = addition(one,antidomain(domain(X_58))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_58),one),addition(one,antidomain(domain(X_58)))) )],[refute_0_296,refute_0_299]) ).
cnf(refute_0_301,plain,
( addition(one,antidomain(X_58)) != addition(one,antidomain(domain(X_58)))
| addition(one,antidomain(domain(X_58))) = addition(one,antidomain(X_58)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(one,antidomain(X_58)))),bind(Y,$fot(addition(one,antidomain(domain(X_58)))))]]) ).
cnf(refute_0_302,plain,
addition(one,antidomain(domain(X_58))) = addition(one,antidomain(X_58)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_58)),addition(one,antidomain(domain(X_58)))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
addition(one,antidomain(domain(X_6))) = addition(one,antidomain(X_6)),
inference(subst,[],[refute_0_302:[bind(X_58,$fot(X_6))]]) ).
cnf(refute_0_304,plain,
( addition(one,antidomain(domain(X_6))) != addition(one,antidomain(X_6))
| one != addition(one,antidomain(domain(X_6)))
| one = addition(one,antidomain(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,antidomain(domain(X_6)))) ),[1],$fot(addition(one,antidomain(X_6)))]]) ).
cnf(refute_0_305,plain,
( one != addition(one,antidomain(domain(X_6)))
| one = addition(one,antidomain(X_6)) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(domain(X_6))),addition(one,antidomain(X_6))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
one = addition(one,antidomain(X_6)),
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(domain(X_6)))) )],[refute_0_280,refute_0_305]) ).
cnf(refute_0_307,plain,
( one != addition(one,antidomain(X_6))
| addition(one,antidomain(X_6)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(addition(one,antidomain(X_6))))]]) ).
cnf(refute_0_308,plain,
addition(one,antidomain(X_6)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(X_6))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = one,
inference(subst,[],[refute_0_308:[bind(X_6,$fot(multiplication(coantidomain(X0),domain(codomain(X0)))))]]) ).
cnf(refute_0_310,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_45:[bind(X0,$fot(one))]]) ).
cnf(refute_0_311,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one))]]) ).
cnf(refute_0_312,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_14:[bind(X0,$fot(one))]]) ).
cnf(refute_0_313,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_73:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_314,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| antidomain(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),zero) ),[0],$fot(antidomain(one))]]) ).
cnf(refute_0_315,plain,
( multiplication(antidomain(one),one) != zero
| antidomain(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
( antidomain(one) != zero
| domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_318,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_311,refute_0_318]) ).
cnf(refute_0_320,plain,
( addition(antidomain(one),domain(one)) != one
| domain(one) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_321,plain,
( addition(antidomain(one),domain(one)) != one
| addition(antidomain(one),antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
addition(antidomain(one),antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_310,refute_0_321]) ).
cnf(refute_0_323,plain,
addition(zero,antidomain(zero)) = antidomain(zero),
inference(subst,[],[refute_0_24:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_324,plain,
addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).
cnf(refute_0_325,plain,
( addition(antidomain(one),antidomain(zero)) != addition(antidomain(one),antidomain(zero))
| antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_326,plain,
( antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_316,refute_0_326]) ).
cnf(refute_0_328,plain,
( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
| addition(zero,antidomain(zero)) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = antidomain(zero) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(antidomain(one),antidomain(zero)))),bind(Y,$fot(addition(zero,antidomain(zero)))),bind(Z,$fot(antidomain(zero)))]]) ).
cnf(refute_0_329,plain,
( addition(zero,antidomain(zero)) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
addition(antidomain(one),antidomain(zero)) = antidomain(zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),antidomain(zero)) )],[refute_0_323,refute_0_329]) ).
cnf(refute_0_331,plain,
( addition(antidomain(one),antidomain(zero)) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) != one
| antidomain(zero) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(antidomain(zero))]]) ).
cnf(refute_0_332,plain,
( addition(antidomain(one),antidomain(zero)) != one
| antidomain(zero) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),antidomain(zero)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_322,refute_0_332]) ).
cnf(refute_0_334,plain,
addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))))]]) ).
cnf(refute_0_335,plain,
( addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_336,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
( addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))))
| addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != one
| addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = one ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))))),bind(Y,$fot(addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_339,plain,
( addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != one
| addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) = one,
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),one) )],[refute_0_309,refute_0_339]) ).
cnf(refute_0_341,plain,
( addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))
| addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != one
| one = antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) ),[0],$fot(one)]]) ).
cnf(refute_0_342,plain,
( addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) != antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))
| one = antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),one) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
one = antidomain(multiplication(coantidomain(X0),domain(codomain(X0)))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))),antidomain(multiplication(coantidomain(X0),domain(codomain(X0))))) )],[refute_0_263,refute_0_342]) ).
cnf(refute_0_344,plain,
one = antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205)))),
inference(subst,[],[refute_0_343:[bind(X0,$fot(X_205))]]) ).
cnf(refute_0_345,plain,
( one != antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205))))
| antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205)))) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205))))))]]) ).
cnf(refute_0_346,plain,
antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205)))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205))))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
( antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205)))) != one
| multiplication(codomain(antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205))))),multiplication(coantidomain(X_205),domain(codomain(X_205)))) != zero
| multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205))))),multiplication(coantidomain(X_205),domain(codomain(X_205)))),zero) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_348,plain,
( multiplication(codomain(antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205))))),multiplication(coantidomain(X_205),domain(codomain(X_205)))) != zero
| multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205)))),one) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(multiplication(coantidomain(X_205),domain(codomain(X_205))))),multiplication(coantidomain(X_205),domain(codomain(X_205)))),zero) )],[refute_0_235,refute_0_348]) ).
cnf(refute_0_350,plain,
multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205)))) = multiplication(coantidomain(X_205),domain(codomain(X_205))),
inference(subst,[],[refute_0_50:[bind(A,$fot(multiplication(coantidomain(X_205),domain(codomain(X_205)))))]]) ).
cnf(refute_0_351,plain,
( coantidomain(zero) != one
| codomain(one) != coantidomain(zero)
| codomain(one) = one ),
introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(zero)) ),[1],$fot(one)]]) ).
cnf(refute_0_352,plain,
( codomain(one) != coantidomain(zero)
| codomain(one) = one ),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_214,refute_0_351]) ).
cnf(refute_0_353,plain,
codomain(one) = one,
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_198,refute_0_352]) ).
cnf(refute_0_354,plain,
multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))),
introduced(tautology,[refl,[$fot(multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))))]]) ).
cnf(refute_0_355,plain,
( codomain(one) != one
| multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) != multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205))))
| multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))),multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_356,plain,
( codomain(one) != one
| multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205)))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))),multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205))))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205)))),
inference(resolve,[$cnf( $equal(codomain(one),one) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
( multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) != multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205))))
| multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205)))) != multiplication(coantidomain(X_205),domain(codomain(X_205)))
| multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = multiplication(coantidomain(X_205),domain(codomain(X_205))) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))))),bind(Y,$fot(multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205)))))),bind(Z,$fot(multiplication(coantidomain(X_205),domain(codomain(X_205)))))]]) ).
cnf(refute_0_359,plain,
( multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205)))) != multiplication(coantidomain(X_205),domain(codomain(X_205)))
| multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = multiplication(coantidomain(X_205),domain(codomain(X_205))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))),multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205))))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) = multiplication(coantidomain(X_205),domain(codomain(X_205))),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(coantidomain(X_205),domain(codomain(X_205)))),multiplication(coantidomain(X_205),domain(codomain(X_205)))) )],[refute_0_350,refute_0_359]) ).
cnf(refute_0_361,plain,
( multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) != multiplication(coantidomain(X_205),domain(codomain(X_205)))
| multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) != zero
| multiplication(coantidomain(X_205),domain(codomain(X_205))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))),zero) ),[0],$fot(multiplication(coantidomain(X_205),domain(codomain(X_205))))]]) ).
cnf(refute_0_362,plain,
( multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))) != zero
| multiplication(coantidomain(X_205),domain(codomain(X_205))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))),multiplication(coantidomain(X_205),domain(codomain(X_205)))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
multiplication(coantidomain(X_205),domain(codomain(X_205))) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(one),multiplication(coantidomain(X_205),domain(codomain(X_205)))),zero) )],[refute_0_349,refute_0_362]) ).
cnf(refute_0_364,plain,
multiplication(coantidomain(X_211),domain(codomain(X_211))) = zero,
inference(subst,[],[refute_0_363:[bind(X_205,$fot(X_211))]]) ).
cnf(refute_0_365,plain,
( multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) != addition(multiplication(coantidomain(X_211),B),multiplication(coantidomain(X_211),domain(codomain(X_211))))
| multiplication(coantidomain(X_211),domain(codomain(X_211))) != zero
| multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) = addition(multiplication(coantidomain(X_211),B),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))),addition(multiplication(coantidomain(X_211),B),multiplication(coantidomain(X_211),domain(codomain(X_211))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_366,plain,
( multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) != addition(multiplication(coantidomain(X_211),B),multiplication(coantidomain(X_211),domain(codomain(X_211))))
| multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) = addition(multiplication(coantidomain(X_211),B),zero) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_211),domain(codomain(X_211))),zero) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) = addition(multiplication(coantidomain(X_211),B),zero),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))),addition(multiplication(coantidomain(X_211),B),multiplication(coantidomain(X_211),domain(codomain(X_211))))) )],[refute_0_90,refute_0_366]) ).
cnf(refute_0_368,plain,
addition(multiplication(coantidomain(X_211),B),zero) = multiplication(coantidomain(X_211),B),
inference(subst,[],[refute_0_19:[bind(A,$fot(multiplication(coantidomain(X_211),B)))]]) ).
cnf(refute_0_369,plain,
( addition(multiplication(coantidomain(X_211),B),zero) != multiplication(coantidomain(X_211),B)
| multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) != addition(multiplication(coantidomain(X_211),B),zero)
| multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) = multiplication(coantidomain(X_211),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))),addition(multiplication(coantidomain(X_211),B),zero)) ),[1],$fot(multiplication(coantidomain(X_211),B))]]) ).
cnf(refute_0_370,plain,
( multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) != addition(multiplication(coantidomain(X_211),B),zero)
| multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) = multiplication(coantidomain(X_211),B) ),
inference(resolve,[$cnf( $equal(addition(multiplication(coantidomain(X_211),B),zero),multiplication(coantidomain(X_211),B)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))) = multiplication(coantidomain(X_211),B),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_211),addition(B,domain(codomain(X_211)))),addition(multiplication(coantidomain(X_211),B),zero)) )],[refute_0_367,refute_0_370]) ).
cnf(refute_0_372,plain,
multiplication(coantidomain(X_914),addition(antidomain(codomain(X_914)),domain(codomain(X_914)))) = multiplication(coantidomain(X_914),antidomain(codomain(X_914))),
inference(subst,[],[refute_0_371:[bind(B,$fot(antidomain(codomain(X_914)))),bind(X_211,$fot(X_914))]]) ).
cnf(refute_0_373,plain,
addition(antidomain(codomain(X_914)),domain(codomain(X_914))) = one,
inference(subst,[],[refute_0_45:[bind(X0,$fot(codomain(X_914)))]]) ).
cnf(refute_0_374,plain,
( addition(antidomain(codomain(X_914)),domain(codomain(X_914))) != one
| multiplication(coantidomain(X_914),addition(antidomain(codomain(X_914)),domain(codomain(X_914)))) != multiplication(coantidomain(X_914),antidomain(codomain(X_914)))
| multiplication(coantidomain(X_914),one) = multiplication(coantidomain(X_914),antidomain(codomain(X_914))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_914),addition(antidomain(codomain(X_914)),domain(codomain(X_914)))),multiplication(coantidomain(X_914),antidomain(codomain(X_914)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_375,plain,
( multiplication(coantidomain(X_914),addition(antidomain(codomain(X_914)),domain(codomain(X_914)))) != multiplication(coantidomain(X_914),antidomain(codomain(X_914)))
| multiplication(coantidomain(X_914),one) = multiplication(coantidomain(X_914),antidomain(codomain(X_914))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(codomain(X_914)),domain(codomain(X_914))),one) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiplication(coantidomain(X_914),one) = multiplication(coantidomain(X_914),antidomain(codomain(X_914))),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_914),addition(antidomain(codomain(X_914)),domain(codomain(X_914)))),multiplication(coantidomain(X_914),antidomain(codomain(X_914)))) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
multiplication(coantidomain(X_914),one) = coantidomain(X_914),
inference(subst,[],[refute_0_73:[bind(A,$fot(coantidomain(X_914)))]]) ).
cnf(refute_0_378,plain,
( multiplication(coantidomain(X_914),one) != coantidomain(X_914)
| multiplication(coantidomain(X_914),one) != multiplication(coantidomain(X_914),antidomain(codomain(X_914)))
| coantidomain(X_914) = multiplication(coantidomain(X_914),antidomain(codomain(X_914))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_914),one),multiplication(coantidomain(X_914),antidomain(codomain(X_914)))) ),[0],$fot(coantidomain(X_914))]]) ).
cnf(refute_0_379,plain,
( multiplication(coantidomain(X_914),one) != multiplication(coantidomain(X_914),antidomain(codomain(X_914)))
| coantidomain(X_914) = multiplication(coantidomain(X_914),antidomain(codomain(X_914))) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_914),one),coantidomain(X_914)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) = addition(multiplication(X_72,antidomain(X_6)),multiplication(domain(X_6),antidomain(X_6))),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_72)),bind(B,$fot(domain(X_6))),bind(C,$fot(antidomain(X_6)))]]) ).
cnf(refute_0_381,plain,
multiplication(antidomain(antidomain(X_6)),antidomain(X_6)) = zero,
inference(subst,[],[refute_0_14:[bind(X0,$fot(antidomain(X_6)))]]) ).
cnf(refute_0_382,plain,
( antidomain(antidomain(X_6)) != domain(X_6)
| multiplication(antidomain(antidomain(X_6)),antidomain(X_6)) != zero
| multiplication(domain(X_6),antidomain(X_6)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(X_6)),antidomain(X_6)),zero) ),[0,0],$fot(domain(X_6))]]) ).
cnf(refute_0_383,plain,
( multiplication(antidomain(antidomain(X_6)),antidomain(X_6)) != zero
| multiplication(domain(X_6),antidomain(X_6)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_6)),domain(X_6)) )],[refute_0_8,refute_0_382]) ).
cnf(refute_0_384,plain,
multiplication(domain(X_6),antidomain(X_6)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X_6)),antidomain(X_6)),zero) )],[refute_0_381,refute_0_383]) ).
cnf(refute_0_385,plain,
( multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) != addition(multiplication(X_72,antidomain(X_6)),multiplication(domain(X_6),antidomain(X_6)))
| multiplication(domain(X_6),antidomain(X_6)) != zero
| multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) = addition(multiplication(X_72,antidomain(X_6)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,domain(X_6)),antidomain(X_6)),addition(multiplication(X_72,antidomain(X_6)),multiplication(domain(X_6),antidomain(X_6)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_386,plain,
( multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) != addition(multiplication(X_72,antidomain(X_6)),multiplication(domain(X_6),antidomain(X_6)))
| multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) = addition(multiplication(X_72,antidomain(X_6)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_6),antidomain(X_6)),zero) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) = addition(multiplication(X_72,antidomain(X_6)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_72,domain(X_6)),antidomain(X_6)),addition(multiplication(X_72,antidomain(X_6)),multiplication(domain(X_6),antidomain(X_6)))) )],[refute_0_380,refute_0_386]) ).
cnf(refute_0_388,plain,
addition(multiplication(X_72,antidomain(X_6)),zero) = multiplication(X_72,antidomain(X_6)),
inference(subst,[],[refute_0_19:[bind(A,$fot(multiplication(X_72,antidomain(X_6))))]]) ).
cnf(refute_0_389,plain,
( addition(multiplication(X_72,antidomain(X_6)),zero) != multiplication(X_72,antidomain(X_6))
| multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) != addition(multiplication(X_72,antidomain(X_6)),zero)
| multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) = multiplication(X_72,antidomain(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,domain(X_6)),antidomain(X_6)),addition(multiplication(X_72,antidomain(X_6)),zero)) ),[1],$fot(multiplication(X_72,antidomain(X_6)))]]) ).
cnf(refute_0_390,plain,
( multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) != addition(multiplication(X_72,antidomain(X_6)),zero)
| multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) = multiplication(X_72,antidomain(X_6)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_72,antidomain(X_6)),zero),multiplication(X_72,antidomain(X_6))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
multiplication(addition(X_72,domain(X_6)),antidomain(X_6)) = multiplication(X_72,antidomain(X_6)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_72,domain(X_6)),antidomain(X_6)),addition(multiplication(X_72,antidomain(X_6)),zero)) )],[refute_0_387,refute_0_390]) ).
cnf(refute_0_392,plain,
multiplication(addition(coantidomain(codomain(X_426)),domain(codomain(X_426))),antidomain(codomain(X_426))) = multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))),
inference(subst,[],[refute_0_391:[bind(X_6,$fot(codomain(X_426))),bind(X_72,$fot(coantidomain(codomain(X_426))))]]) ).
cnf(refute_0_393,plain,
addition(codomain(X_7),addition(coantidomain(codomain(X_7)),X_57)) = addition(addition(codomain(X_7),coantidomain(codomain(X_7))),X_57),
inference(subst,[],[refute_0_120:[bind(A,$fot(codomain(X_7))),bind(B,$fot(coantidomain(codomain(X_7)))),bind(C,$fot(X_57))]]) ).
cnf(refute_0_394,plain,
( addition(codomain(X_7),addition(coantidomain(codomain(X_7)),X_57)) != addition(addition(codomain(X_7),coantidomain(codomain(X_7))),X_57)
| addition(codomain(X_7),coantidomain(codomain(X_7))) != one
| addition(codomain(X_7),addition(coantidomain(codomain(X_7)),X_57)) = addition(one,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_7),addition(coantidomain(codomain(X_7)),X_57)),addition(addition(codomain(X_7),coantidomain(codomain(X_7))),X_57)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_395,plain,
( addition(codomain(X_7),addition(coantidomain(codomain(X_7)),X_57)) != addition(addition(codomain(X_7),coantidomain(codomain(X_7))),X_57)
| addition(codomain(X_7),addition(coantidomain(codomain(X_7)),X_57)) = addition(one,X_57) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),coantidomain(codomain(X_7))),one) )],[refute_0_169,refute_0_394]) ).
cnf(refute_0_396,plain,
addition(codomain(X_7),addition(coantidomain(codomain(X_7)),X_57)) = addition(one,X_57),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),addition(coantidomain(codomain(X_7)),X_57)),addition(addition(codomain(X_7),coantidomain(codomain(X_7))),X_57)) )],[refute_0_393,refute_0_395]) ).
cnf(refute_0_397,plain,
addition(codomain(X_7),addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7))))) = addition(one,domain(coantidomain(codomain(X_7)))),
inference(subst,[],[refute_0_396:[bind(X_57,$fot(domain(coantidomain(codomain(X_7)))))]]) ).
cnf(refute_0_398,plain,
multiplication(X_32,addition(one,X_34)) = addition(multiplication(X_32,one),multiplication(X_32,X_34)),
inference(subst,[],[refute_0_59:[bind(A,$fot(X_32)),bind(B,$fot(one)),bind(C,$fot(X_34))]]) ).
cnf(refute_0_399,plain,
multiplication(X_32,one) = X_32,
inference(subst,[],[refute_0_73:[bind(A,$fot(X_32))]]) ).
cnf(refute_0_400,plain,
( multiplication(X_32,addition(one,X_34)) != addition(multiplication(X_32,one),multiplication(X_32,X_34))
| multiplication(X_32,one) != X_32
| multiplication(X_32,addition(one,X_34)) = addition(X_32,multiplication(X_32,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_32,addition(one,X_34)),addition(multiplication(X_32,one),multiplication(X_32,X_34))) ),[1,0],$fot(X_32)]]) ).
cnf(refute_0_401,plain,
( multiplication(X_32,addition(one,X_34)) != addition(multiplication(X_32,one),multiplication(X_32,X_34))
| multiplication(X_32,addition(one,X_34)) = addition(X_32,multiplication(X_32,X_34)) ),
inference(resolve,[$cnf( $equal(multiplication(X_32,one),X_32) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiplication(X_32,addition(one,X_34)) = addition(X_32,multiplication(X_32,X_34)),
inference(resolve,[$cnf( $equal(multiplication(X_32,addition(one,X_34)),addition(multiplication(X_32,one),multiplication(X_32,X_34))) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
multiplication(X_32,addition(one,coantidomain(X_64))) = addition(X_32,multiplication(X_32,coantidomain(X_64))),
inference(subst,[],[refute_0_402:[bind(X_34,$fot(coantidomain(X_64)))]]) ).
cnf(refute_0_404,plain,
one = addition(one,coantidomain(X_64)),
inference(subst,[],[refute_0_183:[bind(X_7,$fot(X_64))]]) ).
cnf(refute_0_405,plain,
( one != addition(one,coantidomain(X_64))
| addition(one,coantidomain(X_64)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(addition(one,coantidomain(X_64))))]]) ).
cnf(refute_0_406,plain,
addition(one,coantidomain(X_64)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(X_64))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
( addition(one,coantidomain(X_64)) != one
| multiplication(X_32,addition(one,coantidomain(X_64))) != addition(X_32,multiplication(X_32,coantidomain(X_64)))
| multiplication(X_32,one) = addition(X_32,multiplication(X_32,coantidomain(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_32,addition(one,coantidomain(X_64))),addition(X_32,multiplication(X_32,coantidomain(X_64)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_408,plain,
( multiplication(X_32,addition(one,coantidomain(X_64))) != addition(X_32,multiplication(X_32,coantidomain(X_64)))
| multiplication(X_32,one) = addition(X_32,multiplication(X_32,coantidomain(X_64))) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_64)),one) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
multiplication(X_32,one) = addition(X_32,multiplication(X_32,coantidomain(X_64))),
inference(resolve,[$cnf( $equal(multiplication(X_32,addition(one,coantidomain(X_64))),addition(X_32,multiplication(X_32,coantidomain(X_64)))) )],[refute_0_403,refute_0_408]) ).
cnf(refute_0_410,plain,
( multiplication(X_32,one) != X_32
| multiplication(X_32,one) != addition(X_32,multiplication(X_32,coantidomain(X_64)))
| X_32 = addition(X_32,multiplication(X_32,coantidomain(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_32,one),addition(X_32,multiplication(X_32,coantidomain(X_64)))) ),[0],$fot(X_32)]]) ).
cnf(refute_0_411,plain,
( multiplication(X_32,one) != addition(X_32,multiplication(X_32,coantidomain(X_64)))
| X_32 = addition(X_32,multiplication(X_32,coantidomain(X_64))) ),
inference(resolve,[$cnf( $equal(multiplication(X_32,one),X_32) )],[refute_0_399,refute_0_410]) ).
cnf(refute_0_412,plain,
X_32 = addition(X_32,multiplication(X_32,coantidomain(X_64))),
inference(resolve,[$cnf( $equal(multiplication(X_32,one),addition(X_32,multiplication(X_32,coantidomain(X_64)))) )],[refute_0_409,refute_0_411]) ).
cnf(refute_0_413,plain,
domain(coantidomain(X_420)) = addition(domain(coantidomain(X_420)),multiplication(domain(coantidomain(X_420)),coantidomain(X_420))),
inference(subst,[],[refute_0_412:[bind(X_32,$fot(domain(coantidomain(X_420)))),bind(X_64,$fot(X_420))]]) ).
cnf(refute_0_414,plain,
coantidomain(X_420) = multiplication(domain(coantidomain(X_420)),coantidomain(X_420)),
inference(subst,[],[refute_0_54:[bind(X_78,$fot(coantidomain(X_420)))]]) ).
cnf(refute_0_415,plain,
( coantidomain(X_420) != multiplication(domain(coantidomain(X_420)),coantidomain(X_420))
| multiplication(domain(coantidomain(X_420)),coantidomain(X_420)) = coantidomain(X_420) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(coantidomain(X_420))),bind(Y,$fot(multiplication(domain(coantidomain(X_420)),coantidomain(X_420))))]]) ).
cnf(refute_0_416,plain,
multiplication(domain(coantidomain(X_420)),coantidomain(X_420)) = coantidomain(X_420),
inference(resolve,[$cnf( $equal(coantidomain(X_420),multiplication(domain(coantidomain(X_420)),coantidomain(X_420))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
( domain(coantidomain(X_420)) != addition(domain(coantidomain(X_420)),multiplication(domain(coantidomain(X_420)),coantidomain(X_420)))
| multiplication(domain(coantidomain(X_420)),coantidomain(X_420)) != coantidomain(X_420)
| domain(coantidomain(X_420)) = addition(domain(coantidomain(X_420)),coantidomain(X_420)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(X_420)),addition(domain(coantidomain(X_420)),multiplication(domain(coantidomain(X_420)),coantidomain(X_420)))) ),[1,1],$fot(coantidomain(X_420))]]) ).
cnf(refute_0_418,plain,
( domain(coantidomain(X_420)) != addition(domain(coantidomain(X_420)),multiplication(domain(coantidomain(X_420)),coantidomain(X_420)))
| domain(coantidomain(X_420)) = addition(domain(coantidomain(X_420)),coantidomain(X_420)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(X_420)),coantidomain(X_420)),coantidomain(X_420)) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
domain(coantidomain(X_420)) = addition(domain(coantidomain(X_420)),coantidomain(X_420)),
inference(resolve,[$cnf( $equal(domain(coantidomain(X_420)),addition(domain(coantidomain(X_420)),multiplication(domain(coantidomain(X_420)),coantidomain(X_420)))) )],[refute_0_413,refute_0_418]) ).
cnf(refute_0_420,plain,
addition(domain(coantidomain(X_420)),coantidomain(X_420)) = addition(coantidomain(X_420),domain(coantidomain(X_420))),
inference(subst,[],[refute_0_32:[bind(A,$fot(coantidomain(X_420))),bind(B,$fot(domain(coantidomain(X_420))))]]) ).
cnf(refute_0_421,plain,
( addition(domain(coantidomain(X_420)),coantidomain(X_420)) != addition(coantidomain(X_420),domain(coantidomain(X_420)))
| domain(coantidomain(X_420)) != addition(domain(coantidomain(X_420)),coantidomain(X_420))
| domain(coantidomain(X_420)) = addition(coantidomain(X_420),domain(coantidomain(X_420))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(X_420)),addition(domain(coantidomain(X_420)),coantidomain(X_420))) ),[1],$fot(addition(coantidomain(X_420),domain(coantidomain(X_420))))]]) ).
cnf(refute_0_422,plain,
( domain(coantidomain(X_420)) != addition(domain(coantidomain(X_420)),coantidomain(X_420))
| domain(coantidomain(X_420)) = addition(coantidomain(X_420),domain(coantidomain(X_420))) ),
inference(resolve,[$cnf( $equal(addition(domain(coantidomain(X_420)),coantidomain(X_420)),addition(coantidomain(X_420),domain(coantidomain(X_420)))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
domain(coantidomain(X_420)) = addition(coantidomain(X_420),domain(coantidomain(X_420))),
inference(resolve,[$cnf( $equal(domain(coantidomain(X_420)),addition(domain(coantidomain(X_420)),coantidomain(X_420))) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
domain(coantidomain(codomain(X_7))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7)))),
inference(subst,[],[refute_0_423:[bind(X_420,$fot(codomain(X_7)))]]) ).
cnf(refute_0_425,plain,
( domain(coantidomain(codomain(X_7))) != addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7))))
| addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7)))) = domain(coantidomain(codomain(X_7))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(coantidomain(codomain(X_7))))),bind(Y,$fot(addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7))))))]]) ).
cnf(refute_0_426,plain,
addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7)))) = domain(coantidomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(domain(coantidomain(codomain(X_7))),addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7))))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
( addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7)))) != domain(coantidomain(codomain(X_7)))
| addition(codomain(X_7),addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7))))) != addition(one,domain(coantidomain(codomain(X_7))))
| addition(codomain(X_7),domain(coantidomain(codomain(X_7)))) = addition(one,domain(coantidomain(codomain(X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_7),addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7))))),addition(one,domain(coantidomain(codomain(X_7))))) ),[0,1],$fot(domain(coantidomain(codomain(X_7))))]]) ).
cnf(refute_0_428,plain,
( addition(codomain(X_7),addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7))))) != addition(one,domain(coantidomain(codomain(X_7))))
| addition(codomain(X_7),domain(coantidomain(codomain(X_7)))) = addition(one,domain(coantidomain(codomain(X_7)))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7)))),domain(coantidomain(codomain(X_7)))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
addition(codomain(X_7),domain(coantidomain(codomain(X_7)))) = addition(one,domain(coantidomain(codomain(X_7)))),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),addition(coantidomain(codomain(X_7)),domain(coantidomain(codomain(X_7))))),addition(one,domain(coantidomain(codomain(X_7))))) )],[refute_0_397,refute_0_428]) ).
cnf(refute_0_430,plain,
( one != addition(one,domain(X_58))
| addition(one,domain(X_58)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_58))))]]) ).
cnf(refute_0_431,plain,
addition(one,domain(X_58)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,domain(X_58))) )],[refute_0_276,refute_0_430]) ).
cnf(refute_0_432,plain,
addition(one,domain(coantidomain(codomain(X_7)))) = one,
inference(subst,[],[refute_0_431:[bind(X_58,$fot(coantidomain(codomain(X_7))))]]) ).
cnf(refute_0_433,plain,
( addition(codomain(X_7),domain(coantidomain(codomain(X_7)))) != addition(one,domain(coantidomain(codomain(X_7))))
| addition(one,domain(coantidomain(codomain(X_7)))) != one
| addition(codomain(X_7),domain(coantidomain(codomain(X_7)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(codomain(X_7),domain(coantidomain(codomain(X_7)))),one) ),[0],$fot(addition(one,domain(coantidomain(codomain(X_7)))))]]) ).
cnf(refute_0_434,plain,
( addition(codomain(X_7),domain(coantidomain(codomain(X_7)))) != addition(one,domain(coantidomain(codomain(X_7))))
| addition(codomain(X_7),domain(coantidomain(codomain(X_7)))) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(coantidomain(codomain(X_7)))),one) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
addition(codomain(X_7),domain(coantidomain(codomain(X_7)))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(X_7),domain(coantidomain(codomain(X_7)))),addition(one,domain(coantidomain(codomain(X_7))))) )],[refute_0_429,refute_0_434]) ).
cnf(refute_0_436,plain,
addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))) = one,
inference(subst,[],[refute_0_435:[bind(X_7,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_437,plain,
( addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))) != one
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))),one) ),[0,1,0,0],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_438,plain,
( addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))) != one
| addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = one ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_154,refute_0_437]) ).
cnf(refute_0_439,plain,
addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))),one) )],[refute_0_436,refute_0_438]) ).
cnf(refute_0_440,plain,
addition(coantidomain(multiplication(X_115,one)),coantidomain(multiplication(codomain(X_115),one))) = coantidomain(multiplication(codomain(X_115),one)),
inference(subst,[],[refute_0_114:[bind(X0,$fot(X_115)),bind(X1,$fot(one))]]) ).
cnf(refute_0_441,plain,
multiplication(codomain(X_115),one) = codomain(X_115),
inference(subst,[],[refute_0_73:[bind(A,$fot(codomain(X_115)))]]) ).
cnf(refute_0_442,plain,
( addition(coantidomain(multiplication(X_115,one)),coantidomain(multiplication(codomain(X_115),one))) != coantidomain(multiplication(codomain(X_115),one))
| multiplication(codomain(X_115),one) != codomain(X_115)
| addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) = coantidomain(multiplication(codomain(X_115),one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X_115,one)),coantidomain(multiplication(codomain(X_115),one))),coantidomain(multiplication(codomain(X_115),one))) ),[0,1,0],$fot(codomain(X_115))]]) ).
cnf(refute_0_443,plain,
( addition(coantidomain(multiplication(X_115,one)),coantidomain(multiplication(codomain(X_115),one))) != coantidomain(multiplication(codomain(X_115),one))
| addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) = coantidomain(multiplication(codomain(X_115),one)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_115),one),codomain(X_115)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) = coantidomain(multiplication(codomain(X_115),one)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_115,one)),coantidomain(multiplication(codomain(X_115),one))),coantidomain(multiplication(codomain(X_115),one))) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
addition(coantidomain(codomain(X_115)),coantidomain(X_115)) = addition(coantidomain(X_115),coantidomain(codomain(X_115))),
inference(subst,[],[refute_0_32:[bind(A,$fot(coantidomain(X_115))),bind(B,$fot(coantidomain(codomain(X_115))))]]) ).
cnf(refute_0_446,plain,
multiplication(X_115,one) = X_115,
inference(subst,[],[refute_0_73:[bind(A,$fot(X_115))]]) ).
cnf(refute_0_447,plain,
coantidomain(multiplication(X_115,one)) = coantidomain(multiplication(X_115,one)),
introduced(tautology,[refl,[$fot(coantidomain(multiplication(X_115,one)))]]) ).
cnf(refute_0_448,plain,
( coantidomain(multiplication(X_115,one)) != coantidomain(multiplication(X_115,one))
| multiplication(X_115,one) != X_115
| coantidomain(multiplication(X_115,one)) = coantidomain(X_115) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(X_115,one)),coantidomain(multiplication(X_115,one))) ),[1,0],$fot(X_115)]]) ).
cnf(refute_0_449,plain,
( multiplication(X_115,one) != X_115
| coantidomain(multiplication(X_115,one)) = coantidomain(X_115) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(X_115,one)),coantidomain(multiplication(X_115,one))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
coantidomain(multiplication(X_115,one)) = coantidomain(X_115),
inference(resolve,[$cnf( $equal(multiplication(X_115,one),X_115) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) = addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))),
introduced(tautology,[refl,[$fot(addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))))]]) ).
cnf(refute_0_452,plain,
( addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) != addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one)))
| coantidomain(multiplication(X_115,one)) != coantidomain(X_115)
| addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) = addition(coantidomain(codomain(X_115)),coantidomain(X_115)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))),addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one)))) ),[1,1],$fot(coantidomain(X_115))]]) ).
cnf(refute_0_453,plain,
( coantidomain(multiplication(X_115,one)) != coantidomain(X_115)
| addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) = addition(coantidomain(codomain(X_115)),coantidomain(X_115)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))),addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one)))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) = addition(coantidomain(codomain(X_115)),coantidomain(X_115)),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(X_115,one)),coantidomain(X_115)) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
( addition(coantidomain(codomain(X_115)),coantidomain(X_115)) != addition(coantidomain(X_115),coantidomain(codomain(X_115)))
| addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) != addition(coantidomain(codomain(X_115)),coantidomain(X_115))
| addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) = addition(coantidomain(X_115),coantidomain(codomain(X_115))) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))))),bind(Y,$fot(addition(coantidomain(codomain(X_115)),coantidomain(X_115)))),bind(Z,$fot(addition(coantidomain(X_115),coantidomain(codomain(X_115)))))]]) ).
cnf(refute_0_456,plain,
( addition(coantidomain(codomain(X_115)),coantidomain(X_115)) != addition(coantidomain(X_115),coantidomain(codomain(X_115)))
| addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) = addition(coantidomain(X_115),coantidomain(codomain(X_115))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))),addition(coantidomain(codomain(X_115)),coantidomain(X_115))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) = addition(coantidomain(X_115),coantidomain(codomain(X_115))),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_115)),coantidomain(X_115)),addition(coantidomain(X_115),coantidomain(codomain(X_115)))) )],[refute_0_445,refute_0_456]) ).
cnf(refute_0_458,plain,
addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) = addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))),
inference(subst,[],[refute_0_32:[bind(A,$fot(coantidomain(codomain(X_115)))),bind(B,$fot(coantidomain(multiplication(X_115,one))))]]) ).
cnf(refute_0_459,plain,
( addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) != addition(coantidomain(X_115),coantidomain(codomain(X_115)))
| addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) != addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one)))
| addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) = addition(coantidomain(X_115),coantidomain(codomain(X_115))) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))))),bind(Y,$fot(addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))))),bind(Z,$fot(addition(coantidomain(X_115),coantidomain(codomain(X_115)))))]]) ).
cnf(refute_0_460,plain,
( addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))) != addition(coantidomain(X_115),coantidomain(codomain(X_115)))
| addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) = addition(coantidomain(X_115),coantidomain(codomain(X_115))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))),addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one)))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) = addition(coantidomain(X_115),coantidomain(codomain(X_115))),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_115)),coantidomain(multiplication(X_115,one))),addition(coantidomain(X_115),coantidomain(codomain(X_115)))) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
( addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) != addition(coantidomain(X_115),coantidomain(codomain(X_115)))
| addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) != coantidomain(multiplication(codomain(X_115),one))
| addition(coantidomain(X_115),coantidomain(codomain(X_115))) = coantidomain(multiplication(codomain(X_115),one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))),coantidomain(multiplication(codomain(X_115),one))) ),[0],$fot(addition(coantidomain(X_115),coantidomain(codomain(X_115))))]]) ).
cnf(refute_0_463,plain,
( addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) != coantidomain(multiplication(codomain(X_115),one))
| addition(coantidomain(X_115),coantidomain(codomain(X_115))) = coantidomain(multiplication(codomain(X_115),one)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))),addition(coantidomain(X_115),coantidomain(codomain(X_115)))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
coantidomain(multiplication(codomain(X_115),one)) = coantidomain(multiplication(codomain(X_115),one)),
introduced(tautology,[refl,[$fot(coantidomain(multiplication(codomain(X_115),one)))]]) ).
cnf(refute_0_465,plain,
( coantidomain(multiplication(codomain(X_115),one)) != coantidomain(multiplication(codomain(X_115),one))
| multiplication(codomain(X_115),one) != codomain(X_115)
| coantidomain(multiplication(codomain(X_115),one)) = coantidomain(codomain(X_115)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(codomain(X_115),one)),coantidomain(multiplication(codomain(X_115),one))) ),[1,0],$fot(codomain(X_115))]]) ).
cnf(refute_0_466,plain,
( multiplication(codomain(X_115),one) != codomain(X_115)
| coantidomain(multiplication(codomain(X_115),one)) = coantidomain(codomain(X_115)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(X_115),one)),coantidomain(multiplication(codomain(X_115),one))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
coantidomain(multiplication(codomain(X_115),one)) = coantidomain(codomain(X_115)),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_115),one),codomain(X_115)) )],[refute_0_441,refute_0_466]) ).
cnf(refute_0_468,plain,
( addition(coantidomain(X_115),coantidomain(codomain(X_115))) != coantidomain(multiplication(codomain(X_115),one))
| coantidomain(multiplication(codomain(X_115),one)) != coantidomain(codomain(X_115))
| addition(coantidomain(X_115),coantidomain(codomain(X_115))) = coantidomain(codomain(X_115)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(coantidomain(X_115),coantidomain(codomain(X_115))),coantidomain(codomain(X_115))) ),[0],$fot(coantidomain(multiplication(codomain(X_115),one)))]]) ).
cnf(refute_0_469,plain,
( addition(coantidomain(X_115),coantidomain(codomain(X_115))) != coantidomain(multiplication(codomain(X_115),one))
| addition(coantidomain(X_115),coantidomain(codomain(X_115))) = coantidomain(codomain(X_115)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(X_115),one)),coantidomain(codomain(X_115))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
( addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))) != coantidomain(multiplication(codomain(X_115),one))
| addition(coantidomain(X_115),coantidomain(codomain(X_115))) = coantidomain(codomain(X_115)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_115),coantidomain(codomain(X_115))),coantidomain(multiplication(codomain(X_115),one))) )],[refute_0_463,refute_0_469]) ).
cnf(refute_0_471,plain,
addition(coantidomain(X_115),coantidomain(codomain(X_115))) = coantidomain(codomain(X_115)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_115,one)),coantidomain(codomain(X_115))),coantidomain(multiplication(codomain(X_115),one))) )],[refute_0_444,refute_0_470]) ).
cnf(refute_0_472,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))) = coantidomain(codomain(coantidomain(X_7))),
inference(subst,[],[refute_0_471:[bind(X_115,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_473,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = coantidomain(codomain(coantidomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))),coantidomain(codomain(coantidomain(X_7)))) ),[0,1,0],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_474,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = coantidomain(codomain(coantidomain(X_7))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_154,refute_0_473]) ).
cnf(refute_0_475,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = coantidomain(codomain(coantidomain(X_7))),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))),coantidomain(codomain(coantidomain(X_7)))) )],[refute_0_472,refute_0_474]) ).
cnf(refute_0_476,plain,
multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = addition(codomain(X_106),multiplication(codomain(X_106),codomain(codomain(X_106)))),
inference(subst,[],[refute_0_402:[bind(X_32,$fot(codomain(X_106))),bind(X_34,$fot(codomain(codomain(X_106))))]]) ).
cnf(refute_0_477,plain,
multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) = addition(multiplication(X_72,codomain(X0)),multiplication(coantidomain(X0),codomain(X0))),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_72)),bind(B,$fot(coantidomain(X0))),bind(C,$fot(codomain(X0)))]]) ).
cnf(refute_0_478,plain,
( multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) != addition(multiplication(X_72,codomain(X0)),multiplication(coantidomain(X0),codomain(X0)))
| multiplication(coantidomain(X0),codomain(X0)) != zero
| multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) = addition(multiplication(X_72,codomain(X0)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,coantidomain(X0)),codomain(X0)),addition(multiplication(X_72,codomain(X0)),multiplication(coantidomain(X0),codomain(X0)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_479,plain,
( multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) != addition(multiplication(X_72,codomain(X0)),multiplication(coantidomain(X0),codomain(X0)))
| multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) = addition(multiplication(X_72,codomain(X0)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),codomain(X0)),zero) )],[refute_0_260,refute_0_478]) ).
cnf(refute_0_480,plain,
multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) = addition(multiplication(X_72,codomain(X0)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_72,coantidomain(X0)),codomain(X0)),addition(multiplication(X_72,codomain(X0)),multiplication(coantidomain(X0),codomain(X0)))) )],[refute_0_477,refute_0_479]) ).
cnf(refute_0_481,plain,
addition(multiplication(X_72,codomain(X0)),zero) = multiplication(X_72,codomain(X0)),
inference(subst,[],[refute_0_19:[bind(A,$fot(multiplication(X_72,codomain(X0))))]]) ).
cnf(refute_0_482,plain,
( addition(multiplication(X_72,codomain(X0)),zero) != multiplication(X_72,codomain(X0))
| multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) != addition(multiplication(X_72,codomain(X0)),zero)
| multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) = multiplication(X_72,codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,coantidomain(X0)),codomain(X0)),addition(multiplication(X_72,codomain(X0)),zero)) ),[1],$fot(multiplication(X_72,codomain(X0)))]]) ).
cnf(refute_0_483,plain,
( multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) != addition(multiplication(X_72,codomain(X0)),zero)
| multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) = multiplication(X_72,codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_72,codomain(X0)),zero),multiplication(X_72,codomain(X0))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
multiplication(addition(X_72,coantidomain(X0)),codomain(X0)) = multiplication(X_72,codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_72,coantidomain(X0)),codomain(X0)),addition(multiplication(X_72,codomain(X0)),zero)) )],[refute_0_480,refute_0_483]) ).
cnf(refute_0_485,plain,
multiplication(addition(codomain(X_7),coantidomain(codomain(X_7))),codomain(codomain(X_7))) = multiplication(codomain(X_7),codomain(codomain(X_7))),
inference(subst,[],[refute_0_484:[bind(X0,$fot(codomain(X_7))),bind(X_72,$fot(codomain(X_7)))]]) ).
cnf(refute_0_486,plain,
( addition(codomain(X_7),coantidomain(codomain(X_7))) != one
| multiplication(addition(codomain(X_7),coantidomain(codomain(X_7))),codomain(codomain(X_7))) != multiplication(codomain(X_7),codomain(codomain(X_7)))
| multiplication(one,codomain(codomain(X_7))) = multiplication(codomain(X_7),codomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(X_7),coantidomain(codomain(X_7))),codomain(codomain(X_7))),multiplication(codomain(X_7),codomain(codomain(X_7)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_487,plain,
( multiplication(addition(codomain(X_7),coantidomain(codomain(X_7))),codomain(codomain(X_7))) != multiplication(codomain(X_7),codomain(codomain(X_7)))
| multiplication(one,codomain(codomain(X_7))) = multiplication(codomain(X_7),codomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),coantidomain(codomain(X_7))),one) )],[refute_0_169,refute_0_486]) ).
cnf(refute_0_488,plain,
multiplication(one,codomain(codomain(X_7))) = multiplication(codomain(X_7),codomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X_7),coantidomain(codomain(X_7))),codomain(codomain(X_7))),multiplication(codomain(X_7),codomain(codomain(X_7)))) )],[refute_0_485,refute_0_487]) ).
cnf(refute_0_489,plain,
multiplication(one,codomain(codomain(X_7))) = codomain(codomain(X_7)),
inference(subst,[],[refute_0_50:[bind(A,$fot(codomain(codomain(X_7))))]]) ).
cnf(refute_0_490,plain,
( multiplication(one,codomain(codomain(X_7))) != codomain(codomain(X_7))
| multiplication(one,codomain(codomain(X_7))) != multiplication(codomain(X_7),codomain(codomain(X_7)))
| codomain(codomain(X_7)) = multiplication(codomain(X_7),codomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,codomain(codomain(X_7))),multiplication(codomain(X_7),codomain(codomain(X_7)))) ),[0],$fot(codomain(codomain(X_7)))]]) ).
cnf(refute_0_491,plain,
( multiplication(one,codomain(codomain(X_7))) != multiplication(codomain(X_7),codomain(codomain(X_7)))
| codomain(codomain(X_7)) = multiplication(codomain(X_7),codomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(multiplication(one,codomain(codomain(X_7))),codomain(codomain(X_7))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
codomain(codomain(X_7)) = multiplication(codomain(X_7),codomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(multiplication(one,codomain(codomain(X_7))),multiplication(codomain(X_7),codomain(codomain(X_7)))) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
codomain(codomain(X_106)) = multiplication(codomain(X_106),codomain(codomain(X_106))),
inference(subst,[],[refute_0_492:[bind(X_7,$fot(X_106))]]) ).
cnf(refute_0_494,plain,
( codomain(codomain(X_106)) != multiplication(codomain(X_106),codomain(codomain(X_106)))
| multiplication(codomain(X_106),codomain(codomain(X_106))) = codomain(codomain(X_106)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(codomain(codomain(X_106)))),bind(Y,$fot(multiplication(codomain(X_106),codomain(codomain(X_106)))))]]) ).
cnf(refute_0_495,plain,
multiplication(codomain(X_106),codomain(codomain(X_106))) = codomain(codomain(X_106)),
inference(resolve,[$cnf( $equal(codomain(codomain(X_106)),multiplication(codomain(X_106),codomain(codomain(X_106)))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
( multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) != addition(codomain(X_106),multiplication(codomain(X_106),codomain(codomain(X_106))))
| multiplication(codomain(X_106),codomain(codomain(X_106))) != codomain(codomain(X_106))
| multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = addition(codomain(X_106),codomain(codomain(X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),addition(codomain(X_106),multiplication(codomain(X_106),codomain(codomain(X_106))))) ),[1,1],$fot(codomain(codomain(X_106)))]]) ).
cnf(refute_0_497,plain,
( multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) != addition(codomain(X_106),multiplication(codomain(X_106),codomain(codomain(X_106))))
| multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = addition(codomain(X_106),codomain(codomain(X_106))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_106),codomain(codomain(X_106))),codomain(codomain(X_106))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = addition(codomain(X_106),codomain(codomain(X_106))),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),addition(codomain(X_106),multiplication(codomain(X_106),codomain(codomain(X_106))))) )],[refute_0_476,refute_0_497]) ).
cnf(refute_0_499,plain,
multiplication(codomain(X_106),one) = codomain(X_106),
inference(subst,[],[refute_0_73:[bind(A,$fot(codomain(X_106)))]]) ).
cnf(refute_0_500,plain,
( one != addition(one,codomain(X_61))
| addition(one,codomain(X_61)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(addition(one,codomain(X_61))))]]) ).
cnf(refute_0_501,plain,
addition(one,codomain(X_61)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,codomain(X_61))) )],[refute_0_146,refute_0_500]) ).
cnf(refute_0_502,plain,
addition(one,codomain(codomain(X_106))) = one,
inference(subst,[],[refute_0_501:[bind(X_61,$fot(codomain(X_106)))]]) ).
cnf(refute_0_503,plain,
multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),
introduced(tautology,[refl,[$fot(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))))]]) ).
cnf(refute_0_504,plain,
( addition(one,codomain(codomain(X_106))) != one
| multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) != multiplication(codomain(X_106),addition(one,codomain(codomain(X_106))))
| multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = multiplication(codomain(X_106),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),multiplication(codomain(X_106),addition(one,codomain(codomain(X_106))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_505,plain,
( addition(one,codomain(codomain(X_106))) != one
| multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = multiplication(codomain(X_106),one) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),multiplication(codomain(X_106),addition(one,codomain(codomain(X_106))))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = multiplication(codomain(X_106),one),
inference(resolve,[$cnf( $equal(addition(one,codomain(codomain(X_106))),one) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
( multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) != multiplication(codomain(X_106),one)
| multiplication(codomain(X_106),one) != codomain(X_106)
| multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = codomain(X_106) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))))),bind(Y,$fot(multiplication(codomain(X_106),one))),bind(Z,$fot(codomain(X_106)))]]) ).
cnf(refute_0_508,plain,
( multiplication(codomain(X_106),one) != codomain(X_106)
| multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = codomain(X_106) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),multiplication(codomain(X_106),one)) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) = codomain(X_106),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_106),one),codomain(X_106)) )],[refute_0_499,refute_0_508]) ).
cnf(refute_0_510,plain,
( multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) != addition(codomain(X_106),codomain(codomain(X_106)))
| multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) != codomain(X_106)
| codomain(X_106) = addition(codomain(X_106),codomain(codomain(X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),addition(codomain(X_106),codomain(codomain(X_106)))) ),[0],$fot(codomain(X_106))]]) ).
cnf(refute_0_511,plain,
( multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))) != addition(codomain(X_106),codomain(codomain(X_106)))
| codomain(X_106) = addition(codomain(X_106),codomain(codomain(X_106))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),codomain(X_106)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
codomain(X_106) = addition(codomain(X_106),codomain(codomain(X_106))),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_106),addition(one,codomain(codomain(X_106)))),addition(codomain(X_106),codomain(codomain(X_106)))) )],[refute_0_498,refute_0_511]) ).
cnf(refute_0_513,plain,
( codomain(X_106) != addition(codomain(X_106),codomain(codomain(X_106)))
| addition(codomain(X_106),codomain(codomain(X_106))) = codomain(X_106) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(codomain(X_106))),bind(Y,$fot(addition(codomain(X_106),codomain(codomain(X_106)))))]]) ).
cnf(refute_0_514,plain,
addition(codomain(X_106),codomain(codomain(X_106))) = codomain(X_106),
inference(resolve,[$cnf( $equal(codomain(X_106),addition(codomain(X_106),codomain(codomain(X_106)))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
addition(codomain(X_7),codomain(codomain(X_7))) = codomain(X_7),
inference(subst,[],[refute_0_514:[bind(X_106,$fot(X_7))]]) ).
cnf(refute_0_516,plain,
coantidomain(coantidomain(codomain(X_7))) = codomain(codomain(X_7)),
inference(subst,[],[refute_0_96:[bind(X0,$fot(codomain(X_7)))]]) ).
cnf(refute_0_517,plain,
addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),
introduced(tautology,[refl,[$fot(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))))]]) ).
cnf(refute_0_518,plain,
( addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))
| coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))) ),[1,1],$fot(codomain(codomain(X_7)))]]) ).
cnf(refute_0_519,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X_7))),codomain(codomain(X_7))) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),
introduced(tautology,[refl,[$fot(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))))]]) ).
cnf(refute_0_522,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7))))
| coantidomain(coantidomain(X_7)) != codomain(X_7)
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7))))) ),[1,0],$fot(codomain(X_7))]]) ).
cnf(refute_0_523,plain,
( coantidomain(coantidomain(X_7)) != codomain(X_7)
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_7)),codomain(X_7)) )],[refute_0_151,refute_0_523]) ).
cnf(refute_0_525,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))
| addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),codomain(codomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))))),bind(Y,$fot(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))))),bind(Z,$fot(addition(codomain(X_7),codomain(codomain(X_7)))))]]) ).
cnf(refute_0_526,plain,
( addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),codomain(codomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),codomain(codomain(X_7)))) )],[refute_0_520,refute_0_526]) ).
cnf(refute_0_528,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),codomain(codomain(X_7)))
| addition(codomain(X_7),codomain(codomain(X_7))) != codomain(X_7)
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = codomain(X_7) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))))),bind(Y,$fot(addition(codomain(X_7),codomain(codomain(X_7))))),bind(Z,$fot(codomain(X_7)))]]) ).
cnf(refute_0_529,plain,
( addition(codomain(X_7),codomain(codomain(X_7))) != codomain(X_7)
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = codomain(X_7) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),codomain(codomain(X_7)))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = codomain(X_7),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),codomain(codomain(X_7))),codomain(X_7)) )],[refute_0_515,refute_0_529]) ).
cnf(refute_0_531,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != codomain(X_7)
| codomain(X_7) = coantidomain(codomain(coantidomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),coantidomain(codomain(coantidomain(X_7)))) ),[0],$fot(codomain(X_7))]]) ).
cnf(refute_0_532,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| codomain(X_7) = coantidomain(codomain(coantidomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),codomain(X_7)) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
coantidomain(codomain(coantidomain(X_7))) = coantidomain(codomain(coantidomain(X_7))),
introduced(tautology,[refl,[$fot(coantidomain(codomain(coantidomain(X_7))))]]) ).
cnf(refute_0_534,plain,
( coantidomain(codomain(coantidomain(X_7))) != coantidomain(codomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| coantidomain(codomain(coantidomain(X_7))) = coantidomain(coantidomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(codomain(coantidomain(X_7))),coantidomain(codomain(coantidomain(X_7)))) ),[1,0],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_535,plain,
( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| coantidomain(codomain(coantidomain(X_7))) = coantidomain(coantidomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(coantidomain(X_7))),coantidomain(codomain(coantidomain(X_7)))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
coantidomain(codomain(coantidomain(X_7))) = coantidomain(coantidomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_154,refute_0_535]) ).
cnf(refute_0_537,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| coantidomain(codomain(coantidomain(X_7))) != coantidomain(coantidomain(codomain(X_7)))
| coantidomain(codomain(coantidomain(X_7))) = codomain(codomain(X_7)) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(coantidomain(codomain(coantidomain(X_7))))),bind(Y,$fot(coantidomain(coantidomain(codomain(X_7))))),bind(Z,$fot(codomain(codomain(X_7))))]]) ).
cnf(refute_0_538,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| coantidomain(codomain(coantidomain(X_7))) = codomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(coantidomain(X_7))),coantidomain(coantidomain(codomain(X_7)))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
coantidomain(codomain(coantidomain(X_7))) = codomain(codomain(X_7)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X_7))),codomain(codomain(X_7))) )],[refute_0_516,refute_0_538]) ).
cnf(refute_0_540,plain,
( coantidomain(codomain(coantidomain(X_7))) != codomain(codomain(X_7))
| codomain(X_7) != coantidomain(codomain(coantidomain(X_7)))
| codomain(X_7) = codomain(codomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(X_7),coantidomain(codomain(coantidomain(X_7)))) ),[1],$fot(codomain(codomain(X_7)))]]) ).
cnf(refute_0_541,plain,
( codomain(X_7) != coantidomain(codomain(coantidomain(X_7)))
| codomain(X_7) = codomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(coantidomain(X_7))),codomain(codomain(X_7))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| codomain(X_7) = codomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(codomain(X_7),coantidomain(codomain(coantidomain(X_7)))) )],[refute_0_532,refute_0_541]) ).
cnf(refute_0_543,plain,
codomain(X_7) = codomain(codomain(X_7)),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),coantidomain(codomain(coantidomain(X_7)))) )],[refute_0_475,refute_0_542]) ).
cnf(refute_0_544,plain,
( codomain(X_7) != codomain(codomain(X_7))
| codomain(codomain(X_7)) = codomain(X_7) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(codomain(X_7))),bind(Y,$fot(codomain(codomain(X_7))))]]) ).
cnf(refute_0_545,plain,
codomain(codomain(X_7)) = codomain(X_7),
inference(resolve,[$cnf( $equal(codomain(X_7),codomain(codomain(X_7))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| codomain(codomain(X_7)) != codomain(X_7)
| coantidomain(coantidomain(codomain(X_7))) = codomain(X_7) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(coantidomain(coantidomain(codomain(X_7))))),bind(Y,$fot(codomain(codomain(X_7)))),bind(Z,$fot(codomain(X_7)))]]) ).
cnf(refute_0_547,plain,
( codomain(codomain(X_7)) != codomain(X_7)
| coantidomain(coantidomain(codomain(X_7))) = codomain(X_7) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X_7))),codomain(codomain(X_7))) )],[refute_0_516,refute_0_546]) ).
cnf(refute_0_548,plain,
coantidomain(coantidomain(codomain(X_7))) = codomain(X_7),
inference(resolve,[$cnf( $equal(codomain(codomain(X_7)),codomain(X_7)) )],[refute_0_545,refute_0_547]) ).
cnf(refute_0_549,plain,
domain(coantidomain(coantidomain(codomain(X_7)))) = domain(coantidomain(coantidomain(codomain(X_7)))),
introduced(tautology,[refl,[$fot(domain(coantidomain(coantidomain(codomain(X_7)))))]]) ).
cnf(refute_0_550,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(X_7)
| domain(coantidomain(coantidomain(codomain(X_7)))) != domain(coantidomain(coantidomain(codomain(X_7))))
| domain(coantidomain(coantidomain(codomain(X_7)))) = domain(codomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(coantidomain(codomain(X_7)))),domain(coantidomain(coantidomain(codomain(X_7))))) ),[1,0],$fot(codomain(X_7))]]) ).
cnf(refute_0_551,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(X_7)
| domain(coantidomain(coantidomain(codomain(X_7)))) = domain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(domain(coantidomain(coantidomain(codomain(X_7)))),domain(coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
domain(coantidomain(coantidomain(codomain(X_7)))) = domain(codomain(X_7)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X_7))),codomain(X_7)) )],[refute_0_548,refute_0_551]) ).
cnf(refute_0_553,plain,
addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),
introduced(tautology,[refl,[$fot(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))))]]) ).
cnf(refute_0_554,plain,
( addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))
| domain(coantidomain(coantidomain(codomain(X_7)))) != domain(codomain(X_7))
| addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) ),[1,1],$fot(domain(codomain(X_7)))]]) ).
cnf(refute_0_555,plain,
( domain(coantidomain(coantidomain(codomain(X_7)))) != domain(codomain(X_7))
| addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(X_7))),
inference(resolve,[$cnf( $equal(domain(coantidomain(coantidomain(codomain(X_7)))),domain(codomain(X_7))) )],[refute_0_552,refute_0_555]) ).
cnf(refute_0_557,plain,
addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),
introduced(tautology,[refl,[$fot(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))))]]) ).
cnf(refute_0_558,plain,
( addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) ),[1,0],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_559,plain,
( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) ),
inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_154,refute_0_559]) ).
cnf(refute_0_561,plain,
( addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(codomain(X_7)))
| addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))
| addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(X_7))) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))))),bind(Y,$fot(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))))),bind(Z,$fot(addition(coantidomain(codomain(X_7)),domain(codomain(X_7)))))]]) ).
cnf(refute_0_562,plain,
( addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(codomain(X_7)))
| addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(X_7))),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(codomain(X_7)))) )],[refute_0_556,refute_0_562]) ).
cnf(refute_0_564,plain,
( addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(codomain(X_7)))
| addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != one
| addition(coantidomain(codomain(X_7)),domain(codomain(X_7))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),one) ),[0],$fot(addition(coantidomain(codomain(X_7)),domain(codomain(X_7))))]]) ).
cnf(refute_0_565,plain,
( addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != one
| addition(coantidomain(codomain(X_7)),domain(codomain(X_7))) = one ),
inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(codomain(X_7)))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
addition(coantidomain(codomain(X_7)),domain(codomain(X_7))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),one) )],[refute_0_439,refute_0_565]) ).
cnf(refute_0_567,plain,
addition(coantidomain(codomain(X_426)),domain(codomain(X_426))) = one,
inference(subst,[],[refute_0_566:[bind(X_7,$fot(X_426))]]) ).
cnf(refute_0_568,plain,
( addition(coantidomain(codomain(X_426)),domain(codomain(X_426))) != one
| multiplication(addition(coantidomain(codomain(X_426)),domain(codomain(X_426))),antidomain(codomain(X_426))) != multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))
| multiplication(one,antidomain(codomain(X_426))) = multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(codomain(X_426)),domain(codomain(X_426))),antidomain(codomain(X_426))),multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_569,plain,
( multiplication(addition(coantidomain(codomain(X_426)),domain(codomain(X_426))),antidomain(codomain(X_426))) != multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))
| multiplication(one,antidomain(codomain(X_426))) = multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_426)),domain(codomain(X_426))),one) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
multiplication(one,antidomain(codomain(X_426))) = multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))),
inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(codomain(X_426)),domain(codomain(X_426))),antidomain(codomain(X_426))),multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))) )],[refute_0_392,refute_0_569]) ).
cnf(refute_0_571,plain,
multiplication(one,antidomain(codomain(X_426))) = antidomain(codomain(X_426)),
inference(subst,[],[refute_0_50:[bind(A,$fot(antidomain(codomain(X_426))))]]) ).
cnf(refute_0_572,plain,
( multiplication(one,antidomain(codomain(X_426))) != antidomain(codomain(X_426))
| multiplication(one,antidomain(codomain(X_426))) != multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))
| antidomain(codomain(X_426)) = multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(codomain(X_426))),multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))) ),[0],$fot(antidomain(codomain(X_426)))]]) ).
cnf(refute_0_573,plain,
( multiplication(one,antidomain(codomain(X_426))) != multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))
| antidomain(codomain(X_426)) = multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(codomain(X_426))),antidomain(codomain(X_426))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
antidomain(codomain(X_426)) = multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(codomain(X_426))),multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
multiplication(X_38,addition(one,X_39)) = addition(X_38,multiplication(X_38,X_39)),
inference(subst,[],[refute_0_402:[bind(X_32,$fot(X_38)),bind(X_34,$fot(X_39))]]) ).
cnf(refute_0_576,plain,
addition(X_39,one) = addition(one,X_39),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_39)),bind(B,$fot(one))]]) ).
cnf(refute_0_577,plain,
( addition(X_39,one) != addition(one,X_39)
| addition(one,X_39) = addition(X_39,one) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(X_39,one))),bind(Y,$fot(addition(one,X_39)))]]) ).
cnf(refute_0_578,plain,
addition(one,X_39) = addition(X_39,one),
inference(resolve,[$cnf( $equal(addition(X_39,one),addition(one,X_39)) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
( addition(one,X_39) != addition(X_39,one)
| multiplication(X_38,addition(one,X_39)) != addition(X_38,multiplication(X_38,X_39))
| multiplication(X_38,addition(X_39,one)) = addition(X_38,multiplication(X_38,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_38,addition(one,X_39)),addition(X_38,multiplication(X_38,X_39))) ),[0,1],$fot(addition(X_39,one))]]) ).
cnf(refute_0_580,plain,
( multiplication(X_38,addition(one,X_39)) != addition(X_38,multiplication(X_38,X_39))
| multiplication(X_38,addition(X_39,one)) = addition(X_38,multiplication(X_38,X_39)) ),
inference(resolve,[$cnf( $equal(addition(one,X_39),addition(X_39,one)) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
multiplication(X_38,addition(X_39,one)) = addition(X_38,multiplication(X_38,X_39)),
inference(resolve,[$cnf( $equal(multiplication(X_38,addition(one,X_39)),addition(X_38,multiplication(X_38,X_39))) )],[refute_0_575,refute_0_580]) ).
cnf(refute_0_582,plain,
multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) = addition(coantidomain(X_446),multiplication(coantidomain(X_446),coantidomain(codomain(X_446)))),
inference(subst,[],[refute_0_581:[bind(X_38,$fot(coantidomain(X_446))),bind(X_39,$fot(coantidomain(codomain(X_446))))]]) ).
cnf(refute_0_583,plain,
multiplication(addition(X_72,X_73),coantidomain(X_73)) = addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73))),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_72)),bind(B,$fot(X_73)),bind(C,$fot(coantidomain(X_73)))]]) ).
cnf(refute_0_584,plain,
multiplication(X_73,coantidomain(X_73)) = zero,
inference(subst,[],[refute_0_91:[bind(X0,$fot(X_73))]]) ).
cnf(refute_0_585,plain,
( multiplication(X_73,coantidomain(X_73)) != zero
| multiplication(addition(X_72,X_73),coantidomain(X_73)) != addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73)))
| multiplication(addition(X_72,X_73),coantidomain(X_73)) = addition(multiplication(X_72,coantidomain(X_73)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,X_73),coantidomain(X_73)),addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_586,plain,
( multiplication(addition(X_72,X_73),coantidomain(X_73)) != addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73)))
| multiplication(addition(X_72,X_73),coantidomain(X_73)) = addition(multiplication(X_72,coantidomain(X_73)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_73,coantidomain(X_73)),zero) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
multiplication(addition(X_72,X_73),coantidomain(X_73)) = addition(multiplication(X_72,coantidomain(X_73)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_72,X_73),coantidomain(X_73)),addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73)))) )],[refute_0_583,refute_0_586]) ).
cnf(refute_0_588,plain,
addition(multiplication(X_72,coantidomain(X_73)),zero) = multiplication(X_72,coantidomain(X_73)),
inference(subst,[],[refute_0_19:[bind(A,$fot(multiplication(X_72,coantidomain(X_73))))]]) ).
cnf(refute_0_589,plain,
( addition(multiplication(X_72,coantidomain(X_73)),zero) != multiplication(X_72,coantidomain(X_73))
| multiplication(addition(X_72,X_73),coantidomain(X_73)) != addition(multiplication(X_72,coantidomain(X_73)),zero)
| multiplication(addition(X_72,X_73),coantidomain(X_73)) = multiplication(X_72,coantidomain(X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,X_73),coantidomain(X_73)),addition(multiplication(X_72,coantidomain(X_73)),zero)) ),[1],$fot(multiplication(X_72,coantidomain(X_73)))]]) ).
cnf(refute_0_590,plain,
( multiplication(addition(X_72,X_73),coantidomain(X_73)) != addition(multiplication(X_72,coantidomain(X_73)),zero)
| multiplication(addition(X_72,X_73),coantidomain(X_73)) = multiplication(X_72,coantidomain(X_73)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_72,coantidomain(X_73)),zero),multiplication(X_72,coantidomain(X_73))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
multiplication(addition(X_72,X_73),coantidomain(X_73)) = multiplication(X_72,coantidomain(X_73)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_72,X_73),coantidomain(X_73)),addition(multiplication(X_72,coantidomain(X_73)),zero)) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(subst,[],[refute_0_591:[bind(X_72,$fot(coantidomain(X0))),bind(X_73,$fot(codomain(X0)))]]) ).
cnf(refute_0_593,plain,
( addition(coantidomain(X0),codomain(X0)) != one
| multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_594,plain,
( multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_133,refute_0_593]) ).
cnf(refute_0_595,plain,
multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_592,refute_0_594]) ).
cnf(refute_0_596,plain,
multiplication(one,coantidomain(codomain(X0))) = coantidomain(codomain(X0)),
inference(subst,[],[refute_0_50:[bind(A,$fot(coantidomain(codomain(X0))))]]) ).
cnf(refute_0_597,plain,
( multiplication(one,coantidomain(codomain(X0))) != coantidomain(codomain(X0))
| multiplication(one,coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[0],$fot(coantidomain(codomain(X0)))]]) ).
cnf(refute_0_598,plain,
( multiplication(one,coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),coantidomain(codomain(X0))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
coantidomain(codomain(X_446)) = multiplication(coantidomain(X_446),coantidomain(codomain(X_446))),
inference(subst,[],[refute_0_599:[bind(X0,$fot(X_446))]]) ).
cnf(refute_0_601,plain,
( coantidomain(codomain(X_446)) != multiplication(coantidomain(X_446),coantidomain(codomain(X_446)))
| multiplication(coantidomain(X_446),coantidomain(codomain(X_446))) = coantidomain(codomain(X_446)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(coantidomain(codomain(X_446)))),bind(Y,$fot(multiplication(coantidomain(X_446),coantidomain(codomain(X_446)))))]]) ).
cnf(refute_0_602,plain,
multiplication(coantidomain(X_446),coantidomain(codomain(X_446))) = coantidomain(codomain(X_446)),
inference(resolve,[$cnf( $equal(coantidomain(codomain(X_446)),multiplication(coantidomain(X_446),coantidomain(codomain(X_446)))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
( multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) != addition(coantidomain(X_446),multiplication(coantidomain(X_446),coantidomain(codomain(X_446))))
| multiplication(coantidomain(X_446),coantidomain(codomain(X_446))) != coantidomain(codomain(X_446))
| multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) = addition(coantidomain(X_446),coantidomain(codomain(X_446))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)),addition(coantidomain(X_446),multiplication(coantidomain(X_446),coantidomain(codomain(X_446))))) ),[1,1],$fot(coantidomain(codomain(X_446)))]]) ).
cnf(refute_0_604,plain,
( multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) != addition(coantidomain(X_446),multiplication(coantidomain(X_446),coantidomain(codomain(X_446))))
| multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) = addition(coantidomain(X_446),coantidomain(codomain(X_446))) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),coantidomain(codomain(X_446))),coantidomain(codomain(X_446))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) = addition(coantidomain(X_446),coantidomain(codomain(X_446))),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)),addition(coantidomain(X_446),multiplication(coantidomain(X_446),coantidomain(codomain(X_446))))) )],[refute_0_582,refute_0_604]) ).
cnf(refute_0_606,plain,
multiplication(coantidomain(X_446),one) = coantidomain(X_446),
inference(subst,[],[refute_0_73:[bind(A,$fot(coantidomain(X_446)))]]) ).
cnf(refute_0_607,plain,
addition(one,coantidomain(codomain(X_446))) = one,
inference(subst,[],[refute_0_185:[bind(X_7,$fot(codomain(X_446)))]]) ).
cnf(refute_0_608,plain,
multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) = multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))),
introduced(tautology,[refl,[$fot(multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))))]]) ).
cnf(refute_0_609,plain,
( addition(one,coantidomain(codomain(X_446))) != one
| multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) != multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446))))
| multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) = multiplication(coantidomain(X_446),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))),multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_610,plain,
( addition(one,coantidomain(codomain(X_446))) != one
| multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) = multiplication(coantidomain(X_446),one) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))),multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446))))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) = multiplication(coantidomain(X_446),one),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_446))),one) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
( multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) != multiplication(coantidomain(X_446),one)
| multiplication(coantidomain(X_446),one) != coantidomain(X_446)
| multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) = coantidomain(X_446) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))))),bind(Y,$fot(multiplication(coantidomain(X_446),one))),bind(Z,$fot(coantidomain(X_446)))]]) ).
cnf(refute_0_613,plain,
( multiplication(coantidomain(X_446),one) != coantidomain(X_446)
| multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) = coantidomain(X_446) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))),multiplication(coantidomain(X_446),one)) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) = coantidomain(X_446),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),one),coantidomain(X_446)) )],[refute_0_606,refute_0_613]) ).
cnf(refute_0_615,plain,
multiplication(X_32,addition(X_34,one)) = addition(X_32,multiplication(X_32,X_34)),
inference(subst,[],[refute_0_581:[bind(X_38,$fot(X_32)),bind(X_39,$fot(X_34))]]) ).
cnf(refute_0_616,plain,
( multiplication(X_32,addition(X_34,one)) != addition(X_32,multiplication(X_32,X_34))
| addition(X_32,multiplication(X_32,X_34)) = multiplication(X_32,addition(X_34,one)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(X_32,addition(X_34,one)))),bind(Y,$fot(addition(X_32,multiplication(X_32,X_34))))]]) ).
cnf(refute_0_617,plain,
addition(X_32,multiplication(X_32,X_34)) = multiplication(X_32,addition(X_34,one)),
inference(resolve,[$cnf( $equal(multiplication(X_32,addition(X_34,one)),addition(X_32,multiplication(X_32,X_34))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
( addition(X_32,multiplication(X_32,X_34)) != multiplication(X_32,addition(X_34,one))
| multiplication(X_32,addition(one,X_34)) != addition(X_32,multiplication(X_32,X_34))
| multiplication(X_32,addition(one,X_34)) = multiplication(X_32,addition(X_34,one)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_32,addition(one,X_34)),addition(X_32,multiplication(X_32,X_34))) ),[1],$fot(multiplication(X_32,addition(X_34,one)))]]) ).
cnf(refute_0_619,plain,
( multiplication(X_32,addition(one,X_34)) != addition(X_32,multiplication(X_32,X_34))
| multiplication(X_32,addition(one,X_34)) = multiplication(X_32,addition(X_34,one)) ),
inference(resolve,[$cnf( $equal(addition(X_32,multiplication(X_32,X_34)),multiplication(X_32,addition(X_34,one))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
multiplication(X_32,addition(one,X_34)) = multiplication(X_32,addition(X_34,one)),
inference(resolve,[$cnf( $equal(multiplication(X_32,addition(one,X_34)),addition(X_32,multiplication(X_32,X_34))) )],[refute_0_402,refute_0_619]) ).
cnf(refute_0_621,plain,
( multiplication(X_32,addition(one,X_34)) != multiplication(X_32,addition(X_34,one))
| multiplication(X_32,addition(X_34,one)) = multiplication(X_32,addition(one,X_34)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(X_32,addition(one,X_34)))),bind(Y,$fot(multiplication(X_32,addition(X_34,one))))]]) ).
cnf(refute_0_622,plain,
multiplication(X_32,addition(X_34,one)) = multiplication(X_32,addition(one,X_34)),
inference(resolve,[$cnf( $equal(multiplication(X_32,addition(one,X_34)),multiplication(X_32,addition(X_34,one))) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) = multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))),
inference(subst,[],[refute_0_622:[bind(X_32,$fot(coantidomain(X_446))),bind(X_34,$fot(coantidomain(codomain(X_446))))]]) ).
cnf(refute_0_624,plain,
( multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) != multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446))))
| multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) != coantidomain(X_446)
| multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) = coantidomain(X_446) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)))),bind(Y,$fot(multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))))),bind(Z,$fot(coantidomain(X_446)))]]) ).
cnf(refute_0_625,plain,
( multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))) != coantidomain(X_446)
| multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) = coantidomain(X_446) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)),multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446))))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) = coantidomain(X_446),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),addition(one,coantidomain(codomain(X_446)))),coantidomain(X_446)) )],[refute_0_614,refute_0_625]) ).
cnf(refute_0_627,plain,
( multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) != addition(coantidomain(X_446),coantidomain(codomain(X_446)))
| multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) != coantidomain(X_446)
| coantidomain(X_446) = addition(coantidomain(X_446),coantidomain(codomain(X_446))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)),addition(coantidomain(X_446),coantidomain(codomain(X_446)))) ),[0],$fot(coantidomain(X_446))]]) ).
cnf(refute_0_628,plain,
( multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) != addition(coantidomain(X_446),coantidomain(codomain(X_446)))
| coantidomain(X_446) = addition(coantidomain(X_446),coantidomain(codomain(X_446))) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)),coantidomain(X_446)) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
addition(coantidomain(X_446),coantidomain(codomain(X_446))) = coantidomain(codomain(X_446)),
inference(subst,[],[refute_0_471:[bind(X_115,$fot(X_446))]]) ).
cnf(refute_0_630,plain,
( addition(coantidomain(X_446),coantidomain(codomain(X_446))) != coantidomain(codomain(X_446))
| coantidomain(X_446) != addition(coantidomain(X_446),coantidomain(codomain(X_446)))
| coantidomain(X_446) = coantidomain(codomain(X_446)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(X_446),addition(coantidomain(X_446),coantidomain(codomain(X_446)))) ),[1],$fot(coantidomain(codomain(X_446)))]]) ).
cnf(refute_0_631,plain,
( coantidomain(X_446) != addition(coantidomain(X_446),coantidomain(codomain(X_446)))
| coantidomain(X_446) = coantidomain(codomain(X_446)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_446),coantidomain(codomain(X_446))),coantidomain(codomain(X_446))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
( multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)) != addition(coantidomain(X_446),coantidomain(codomain(X_446)))
| coantidomain(X_446) = coantidomain(codomain(X_446)) ),
inference(resolve,[$cnf( $equal(coantidomain(X_446),addition(coantidomain(X_446),coantidomain(codomain(X_446)))) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
coantidomain(X_446) = coantidomain(codomain(X_446)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_446),addition(coantidomain(codomain(X_446)),one)),addition(coantidomain(X_446),coantidomain(codomain(X_446)))) )],[refute_0_605,refute_0_632]) ).
cnf(refute_0_634,plain,
( coantidomain(X_446) != coantidomain(codomain(X_446))
| coantidomain(codomain(X_446)) = coantidomain(X_446) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(coantidomain(X_446))),bind(Y,$fot(coantidomain(codomain(X_446))))]]) ).
cnf(refute_0_635,plain,
coantidomain(codomain(X_446)) = coantidomain(X_446),
inference(resolve,[$cnf( $equal(coantidomain(X_446),coantidomain(codomain(X_446))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
coantidomain(codomain(X_426)) = coantidomain(X_426),
inference(subst,[],[refute_0_635:[bind(X_446,$fot(X_426))]]) ).
cnf(refute_0_637,plain,
multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) = multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))),
introduced(tautology,[refl,[$fot(multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))))]]) ).
cnf(refute_0_638,plain,
( coantidomain(codomain(X_426)) != coantidomain(X_426)
| multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) != multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))
| multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) = multiplication(coantidomain(X_426),antidomain(codomain(X_426))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))),multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))) ),[1,0],$fot(coantidomain(X_426))]]) ).
cnf(refute_0_639,plain,
( coantidomain(codomain(X_426)) != coantidomain(X_426)
| multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) = multiplication(coantidomain(X_426),antidomain(codomain(X_426))) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))),multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) = multiplication(coantidomain(X_426),antidomain(codomain(X_426))),
inference(resolve,[$cnf( $equal(coantidomain(codomain(X_426)),coantidomain(X_426)) )],[refute_0_636,refute_0_639]) ).
cnf(refute_0_641,plain,
( antidomain(codomain(X_426)) != multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))
| multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))) != multiplication(coantidomain(X_426),antidomain(codomain(X_426)))
| antidomain(codomain(X_426)) = multiplication(coantidomain(X_426),antidomain(codomain(X_426))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(codomain(X_426)),multiplication(coantidomain(X_426),antidomain(codomain(X_426)))) ),[0],$fot(multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))))]]) ).
cnf(refute_0_642,plain,
( antidomain(codomain(X_426)) != multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))
| antidomain(codomain(X_426)) = multiplication(coantidomain(X_426),antidomain(codomain(X_426))) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426))),multiplication(coantidomain(X_426),antidomain(codomain(X_426)))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
antidomain(codomain(X_426)) = multiplication(coantidomain(X_426),antidomain(codomain(X_426))),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_426)),multiplication(coantidomain(codomain(X_426)),antidomain(codomain(X_426)))) )],[refute_0_574,refute_0_642]) ).
cnf(refute_0_644,plain,
( antidomain(codomain(X_426)) != multiplication(coantidomain(X_426),antidomain(codomain(X_426)))
| multiplication(coantidomain(X_426),antidomain(codomain(X_426))) = antidomain(codomain(X_426)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(antidomain(codomain(X_426)))),bind(Y,$fot(multiplication(coantidomain(X_426),antidomain(codomain(X_426)))))]]) ).
cnf(refute_0_645,plain,
multiplication(coantidomain(X_426),antidomain(codomain(X_426))) = antidomain(codomain(X_426)),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_426)),multiplication(coantidomain(X_426),antidomain(codomain(X_426)))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
multiplication(coantidomain(X_914),antidomain(codomain(X_914))) = antidomain(codomain(X_914)),
inference(subst,[],[refute_0_645:[bind(X_426,$fot(X_914))]]) ).
cnf(refute_0_647,plain,
( coantidomain(X_914) != multiplication(coantidomain(X_914),antidomain(codomain(X_914)))
| multiplication(coantidomain(X_914),antidomain(codomain(X_914))) != antidomain(codomain(X_914))
| coantidomain(X_914) = antidomain(codomain(X_914)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(coantidomain(X_914),antidomain(codomain(X_914))) ),[0],$fot(multiplication(coantidomain(X_914),antidomain(codomain(X_914))))]]) ).
cnf(refute_0_648,plain,
( coantidomain(X_914) != multiplication(coantidomain(X_914),antidomain(codomain(X_914)))
| coantidomain(X_914) = antidomain(codomain(X_914)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_914),antidomain(codomain(X_914))),antidomain(codomain(X_914))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
( multiplication(coantidomain(X_914),one) != multiplication(coantidomain(X_914),antidomain(codomain(X_914)))
| coantidomain(X_914) = antidomain(codomain(X_914)) ),
inference(resolve,[$cnf( $equal(coantidomain(X_914),multiplication(coantidomain(X_914),antidomain(codomain(X_914)))) )],[refute_0_379,refute_0_648]) ).
cnf(refute_0_650,plain,
coantidomain(X_914) = antidomain(codomain(X_914)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_914),one),multiplication(coantidomain(X_914),antidomain(codomain(X_914)))) )],[refute_0_376,refute_0_649]) ).
cnf(refute_0_651,plain,
coantidomain(X_915) = antidomain(codomain(X_915)),
inference(subst,[],[refute_0_650:[bind(X_914,$fot(X_915))]]) ).
cnf(refute_0_652,plain,
( coantidomain(X_915) != antidomain(codomain(X_915))
| antidomain(codomain(X_915)) = coantidomain(X_915) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(coantidomain(X_915))),bind(Y,$fot(antidomain(codomain(X_915))))]]) ).
cnf(refute_0_653,plain,
antidomain(codomain(X_915)) = coantidomain(X_915),
inference(resolve,[$cnf( $equal(coantidomain(X_915),antidomain(codomain(X_915))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
( antidomain(codomain(X_915)) != coantidomain(X_915)
| domain(antidomain(codomain(X_915))) != antidomain(codomain(X_915))
| domain(coantidomain(X_915)) = antidomain(codomain(X_915)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(codomain(X_915))),antidomain(codomain(X_915))) ),[0,0],$fot(coantidomain(X_915))]]) ).
cnf(refute_0_655,plain,
( domain(antidomain(codomain(X_915))) != antidomain(codomain(X_915))
| domain(coantidomain(X_915)) = antidomain(codomain(X_915)) ),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_915)),coantidomain(X_915)) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
domain(coantidomain(X_915)) = antidomain(codomain(X_915)),
inference(resolve,[$cnf( $equal(domain(antidomain(codomain(X_915))),antidomain(codomain(X_915))) )],[refute_0_89,refute_0_655]) ).
cnf(refute_0_657,plain,
( antidomain(codomain(X_915)) != coantidomain(X_915)
| domain(coantidomain(X_915)) != antidomain(codomain(X_915))
| domain(coantidomain(X_915)) = coantidomain(X_915) ),
introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(X_915)),antidomain(codomain(X_915))) ),[1],$fot(coantidomain(X_915))]]) ).
cnf(refute_0_658,plain,
( domain(coantidomain(X_915)) != antidomain(codomain(X_915))
| domain(coantidomain(X_915)) = coantidomain(X_915) ),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_915)),coantidomain(X_915)) )],[refute_0_653,refute_0_657]) ).
cnf(refute_0_659,plain,
domain(coantidomain(X_915)) = coantidomain(X_915),
inference(resolve,[$cnf( $equal(domain(coantidomain(X_915)),antidomain(codomain(X_915))) )],[refute_0_656,refute_0_658]) ).
cnf(refute_0_660,plain,
domain(coantidomain(skolemFOFtoCNF_X0)) = coantidomain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_659:[bind(X_915,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_661,plain,
( coantidomain(skolemFOFtoCNF_X0) != coantidomain(skolemFOFtoCNF_X0)
| domain(coantidomain(skolemFOFtoCNF_X0)) != coantidomain(skolemFOFtoCNF_X0)
| domain(coantidomain(skolemFOFtoCNF_X0)) = coantidomain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(skolemFOFtoCNF_X0)),coantidomain(skolemFOFtoCNF_X0)) ),[0,0],$fot(coantidomain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_662,plain,
( coantidomain(skolemFOFtoCNF_X0) != coantidomain(skolemFOFtoCNF_X0)
| domain(coantidomain(skolemFOFtoCNF_X0)) = coantidomain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(domain(coantidomain(skolemFOFtoCNF_X0)),coantidomain(skolemFOFtoCNF_X0)) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
coantidomain(skolemFOFtoCNF_X0) != coantidomain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(domain(coantidomain(skolemFOFtoCNF_X0)),coantidomain(skolemFOFtoCNF_X0)) )],[refute_0_662,refute_0_0]) ).
cnf(refute_0_664,plain,
coantidomain(skolemFOFtoCNF_X0) = coantidomain(skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(coantidomain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_665,plain,
$false,
inference(resolve,[$cnf( $equal(coantidomain(skolemFOFtoCNF_X0),coantidomain(skolemFOFtoCNF_X0)) )],[refute_0_664,refute_0_663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE092+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 15:04:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.28/8.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.28/8.48
% 8.28/8.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.33/8.53
%------------------------------------------------------------------------------