TSTP Solution File: KLE131+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 02:15:25 EDT 2022
% Result : Theorem 43.60s 43.79s
% Output : CNFRefutation 43.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 95
% Number of leaves : 539
% Syntax : Number of formulae : 2237 (1139 unt; 0 def)
% Number of atoms : 3830 (3829 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 3187 (1594 ~;1588 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-2 aty)
% Number of variables : 3169 ( 62 sgn 127 !; 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(right_annihilation,axiom,
! [A] : multiplication(A,zero) = zero ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
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(complement,axiom,
! [X0] : c(X0) = antidomain(domain(X0)) ).
fof(domain_difference,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)) ).
fof(forward_diamond,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) ).
fof(backward_diamond,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)) ).
fof(forward_box,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))) ).
fof(backward_box,axiom,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))) ).
fof(divergence1,axiom,
! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0) ).
fof(goals,conjecture,
! [X0] :
( ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> divergence(X0) = zero ) ).
fof(subgoal_0,plain,
! [X0] :
( ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> divergence(X0) = zero ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> divergence(X0) = zero ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_1,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[codomain1]) ).
fof(normalize_0_3,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_5,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_7,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_9,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_11,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_13,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[codomain3]) ).
fof(normalize_0_15,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[codomain4]) ).
fof(normalize_0_17,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
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,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_21,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_23,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_25,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_27,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(canonicalize,[],[forward_box]) ).
fof(normalize_0_29,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[forward_diamond]) ).
fof(normalize_0_31,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[complement]) ).
fof(normalize_0_33,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[domain_difference]) ).
fof(normalize_0_35,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,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_37,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,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_39,plain,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(canonicalize,[],[backward_diamond]) ).
fof(normalize_0_41,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(canonicalize,[],[backward_box]) ).
fof(normalize_0_43,plain,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_45,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
? [X0] :
( divergence(X0) != zero
& ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_47,plain,
( divergence(skolemFOFtoCNF_X0) != zero
& ! [X1] : addition(domain(X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))) ),
inference(skolemize,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
! [X1] : addition(domain(X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(conjunct,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [X1] : addition(domain(X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
inference(canonicalize,[],[divergence1]) ).
fof(normalize_0_51,plain,
! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
! [A] : multiplication(A,zero) = zero,
inference(canonicalize,[],[right_annihilation]) ).
fof(normalize_0_53,plain,
! [A] : multiplication(A,zero) = zero,
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
divergence(skolemFOFtoCNF_X0) != zero,
inference(conjunct,[],[normalize_0_47]) ).
cnf(refute_0_0,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
multiplication(X_238,addition(coantidomain(X_238),X_240)) = addition(multiplication(X_238,coantidomain(X_238)),multiplication(X_238,X_240)),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_238)),bind(B,$fot(coantidomain(X_238))),bind(C,$fot(X_240))]]) ).
cnf(refute_0_2,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
multiplication(X_238,coantidomain(X_238)) = zero,
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_238))]]) ).
cnf(refute_0_4,plain,
( multiplication(X_238,addition(coantidomain(X_238),X_240)) != addition(multiplication(X_238,coantidomain(X_238)),multiplication(X_238,X_240))
| multiplication(X_238,coantidomain(X_238)) != zero
| multiplication(X_238,addition(coantidomain(X_238),X_240)) = addition(zero,multiplication(X_238,X_240)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,addition(coantidomain(X_238),X_240)),addition(multiplication(X_238,coantidomain(X_238)),multiplication(X_238,X_240))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5,plain,
( multiplication(X_238,addition(coantidomain(X_238),X_240)) != addition(multiplication(X_238,coantidomain(X_238)),multiplication(X_238,X_240))
| multiplication(X_238,addition(coantidomain(X_238),X_240)) = addition(zero,multiplication(X_238,X_240)) ),
inference(resolve,[$cnf( $equal(multiplication(X_238,coantidomain(X_238)),zero) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
multiplication(X_238,addition(coantidomain(X_238),X_240)) = addition(zero,multiplication(X_238,X_240)),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(coantidomain(X_238),X_240)),addition(multiplication(X_238,coantidomain(X_238)),multiplication(X_238,X_240))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_8,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_9,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_8:[bind(B,$fot(zero))]]) ).
cnf(refute_0_10,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_11,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
addition(zero,multiplication(X_238,X_240)) = multiplication(X_238,X_240),
inference(subst,[],[refute_0_12:[bind(A,$fot(multiplication(X_238,X_240)))]]) ).
cnf(refute_0_14,plain,
( addition(zero,multiplication(X_238,X_240)) != multiplication(X_238,X_240)
| multiplication(X_238,addition(coantidomain(X_238),X_240)) != addition(zero,multiplication(X_238,X_240))
| multiplication(X_238,addition(coantidomain(X_238),X_240)) = multiplication(X_238,X_240) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,addition(coantidomain(X_238),X_240)),addition(zero,multiplication(X_238,X_240))) ),[1],$fot(multiplication(X_238,X_240))]]) ).
cnf(refute_0_15,plain,
( multiplication(X_238,addition(coantidomain(X_238),X_240)) != addition(zero,multiplication(X_238,X_240))
| multiplication(X_238,addition(coantidomain(X_238),X_240)) = multiplication(X_238,X_240) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_238,X_240)),multiplication(X_238,X_240)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
multiplication(X_238,addition(coantidomain(X_238),X_240)) = multiplication(X_238,X_240),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(coantidomain(X_238),X_240)),addition(zero,multiplication(X_238,X_240))) )],[refute_0_6,refute_0_15]) ).
cnf(refute_0_17,plain,
multiplication(X_238,addition(coantidomain(X_238),antidomain(codomain(X_238)))) = multiplication(X_238,antidomain(codomain(X_238))),
inference(subst,[],[refute_0_16:[bind(X_240,$fot(antidomain(codomain(X_238))))]]) ).
cnf(refute_0_18,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_19,plain,
multiplication(addition(one,X_156),X_157) = addition(multiplication(one,X_157),multiplication(X_156,X_157)),
inference(subst,[],[refute_0_18:[bind(A,$fot(one)),bind(B,$fot(X_156)),bind(C,$fot(X_157))]]) ).
cnf(refute_0_20,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_21,plain,
multiplication(one,X_157) = X_157,
inference(subst,[],[refute_0_20:[bind(A,$fot(X_157))]]) ).
cnf(refute_0_22,plain,
( multiplication(addition(one,X_156),X_157) != addition(multiplication(one,X_157),multiplication(X_156,X_157))
| multiplication(one,X_157) != X_157
| multiplication(addition(one,X_156),X_157) = addition(X_157,multiplication(X_156,X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_156),X_157),addition(multiplication(one,X_157),multiplication(X_156,X_157))) ),[1,0],$fot(X_157)]]) ).
cnf(refute_0_23,plain,
( multiplication(addition(one,X_156),X_157) != addition(multiplication(one,X_157),multiplication(X_156,X_157))
| multiplication(addition(one,X_156),X_157) = addition(X_157,multiplication(X_156,X_157)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_157),X_157) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiplication(addition(one,X_156),X_157) = addition(X_157,multiplication(X_156,X_157)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_156),X_157),addition(multiplication(one,X_157),multiplication(X_156,X_157))) )],[refute_0_19,refute_0_23]) ).
cnf(refute_0_25,plain,
multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = addition(coantidomain(X_2098),multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098))),
inference(subst,[],[refute_0_24:[bind(X_156,$fot(antidomain(codomain(X_2098)))),bind(X_157,$fot(coantidomain(X_2098)))]]) ).
cnf(refute_0_26,plain,
multiplication(antidomain(X_240),addition(X_239,X_240)) = addition(multiplication(antidomain(X_240),X_239),multiplication(antidomain(X_240),X_240)),
inference(subst,[],[refute_0_0:[bind(A,$fot(antidomain(X_240))),bind(B,$fot(X_239)),bind(C,$fot(X_240))]]) ).
cnf(refute_0_27,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_28,plain,
multiplication(antidomain(X_240),X_240) = zero,
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_240))]]) ).
cnf(refute_0_29,plain,
( multiplication(antidomain(X_240),X_240) != zero
| multiplication(antidomain(X_240),addition(X_239,X_240)) != addition(multiplication(antidomain(X_240),X_239),multiplication(antidomain(X_240),X_240))
| multiplication(antidomain(X_240),addition(X_239,X_240)) = addition(multiplication(antidomain(X_240),X_239),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_240),addition(X_239,X_240)),addition(multiplication(antidomain(X_240),X_239),multiplication(antidomain(X_240),X_240))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_30,plain,
( multiplication(antidomain(X_240),addition(X_239,X_240)) != addition(multiplication(antidomain(X_240),X_239),multiplication(antidomain(X_240),X_240))
| multiplication(antidomain(X_240),addition(X_239,X_240)) = addition(multiplication(antidomain(X_240),X_239),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_240),X_240),zero) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
multiplication(antidomain(X_240),addition(X_239,X_240)) = addition(multiplication(antidomain(X_240),X_239),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_240),addition(X_239,X_240)),addition(multiplication(antidomain(X_240),X_239),multiplication(antidomain(X_240),X_240))) )],[refute_0_26,refute_0_30]) ).
cnf(refute_0_32,plain,
addition(multiplication(antidomain(X_240),X_239),zero) = multiplication(antidomain(X_240),X_239),
inference(subst,[],[refute_0_7:[bind(A,$fot(multiplication(antidomain(X_240),X_239)))]]) ).
cnf(refute_0_33,plain,
( addition(multiplication(antidomain(X_240),X_239),zero) != multiplication(antidomain(X_240),X_239)
| multiplication(antidomain(X_240),addition(X_239,X_240)) != addition(multiplication(antidomain(X_240),X_239),zero)
| multiplication(antidomain(X_240),addition(X_239,X_240)) = multiplication(antidomain(X_240),X_239) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_240),addition(X_239,X_240)),addition(multiplication(antidomain(X_240),X_239),zero)) ),[1],$fot(multiplication(antidomain(X_240),X_239))]]) ).
cnf(refute_0_34,plain,
( multiplication(antidomain(X_240),addition(X_239,X_240)) != addition(multiplication(antidomain(X_240),X_239),zero)
| multiplication(antidomain(X_240),addition(X_239,X_240)) = multiplication(antidomain(X_240),X_239) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_240),X_239),zero),multiplication(antidomain(X_240),X_239)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
multiplication(antidomain(X_240),addition(X_239,X_240)) = multiplication(antidomain(X_240),X_239),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_240),addition(X_239,X_240)),addition(multiplication(antidomain(X_240),X_239),zero)) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(subst,[],[refute_0_35:[bind(X_239,$fot(coantidomain(X0))),bind(X_240,$fot(codomain(X0)))]]) ).
cnf(refute_0_37,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_38,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_39,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_40,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_42,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_8,refute_0_41]) ).
cnf(refute_0_43,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(subst,[],[refute_0_42:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_44,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) ),[0],$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_45,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[refute_0_37,refute_0_45]) ).
cnf(refute_0_47,plain,
codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_48,plain,
( codomain(X0) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_49,plain,
coantidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_51,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_52,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).
cnf(refute_0_55,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
addition(coantidomain(X0),codomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_46,refute_0_55]) ).
cnf(refute_0_57,plain,
( addition(coantidomain(X0),codomain(X0)) != one
| multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| multiplication(antidomain(codomain(X0)),one) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))),multiplication(antidomain(codomain(X0)),coantidomain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_58,plain,
( multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| multiplication(antidomain(codomain(X0)),one) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
multiplication(antidomain(codomain(X0)),one) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))),multiplication(antidomain(codomain(X0)),coantidomain(X0))) )],[refute_0_36,refute_0_58]) ).
cnf(refute_0_60,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_61,plain,
multiplication(antidomain(codomain(X0)),one) = antidomain(codomain(X0)),
inference(subst,[],[refute_0_60:[bind(A,$fot(antidomain(codomain(X0))))]]) ).
cnf(refute_0_62,plain,
( multiplication(antidomain(codomain(X0)),one) != antidomain(codomain(X0))
| multiplication(antidomain(codomain(X0)),one) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| antidomain(codomain(X0)) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(codomain(X0)),one),multiplication(antidomain(codomain(X0)),coantidomain(X0))) ),[0],$fot(antidomain(codomain(X0)))]]) ).
cnf(refute_0_63,plain,
( multiplication(antidomain(codomain(X0)),one) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| antidomain(codomain(X0)) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),one),antidomain(codomain(X0))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
antidomain(codomain(X0)) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),one),multiplication(antidomain(codomain(X0)),coantidomain(X0))) )],[refute_0_59,refute_0_63]) ).
cnf(refute_0_65,plain,
antidomain(codomain(X_2098)) = multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)),
inference(subst,[],[refute_0_64:[bind(X0,$fot(X_2098))]]) ).
cnf(refute_0_66,plain,
( antidomain(codomain(X_2098)) != multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098))
| multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)) = antidomain(codomain(X_2098)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(antidomain(codomain(X_2098)))),bind(Y,$fot(multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098))))]]) ).
cnf(refute_0_67,plain,
multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)) = antidomain(codomain(X_2098)),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_2098)),multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) != addition(coantidomain(X_2098),multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)))
| multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)) != antidomain(codomain(X_2098))
| multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = addition(coantidomain(X_2098),antidomain(codomain(X_2098))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),addition(coantidomain(X_2098),multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)))) ),[1,1],$fot(antidomain(codomain(X_2098)))]]) ).
cnf(refute_0_69,plain,
( multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) != addition(coantidomain(X_2098),multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)))
| multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = addition(coantidomain(X_2098),antidomain(codomain(X_2098))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)),antidomain(codomain(X_2098))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = addition(coantidomain(X_2098),antidomain(codomain(X_2098))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),addition(coantidomain(X_2098),multiplication(antidomain(codomain(X_2098)),coantidomain(X_2098)))) )],[refute_0_25,refute_0_69]) ).
cnf(refute_0_71,plain,
multiplication(one,coantidomain(X_2098)) = coantidomain(X_2098),
inference(subst,[],[refute_0_20:[bind(A,$fot(coantidomain(X_2098)))]]) ).
cnf(refute_0_72,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_73,plain,
addition(X_222,addition(X_222,X_223)) = addition(addition(X_222,X_222),X_223),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_222)),bind(B,$fot(X_222)),bind(C,$fot(X_223))]]) ).
cnf(refute_0_74,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_75,plain,
addition(X_222,X_222) = X_222,
inference(subst,[],[refute_0_74:[bind(A,$fot(X_222))]]) ).
cnf(refute_0_76,plain,
( addition(X_222,X_222) != X_222
| addition(X_222,addition(X_222,X_223)) != addition(addition(X_222,X_222),X_223)
| addition(X_222,addition(X_222,X_223)) = addition(X_222,X_223) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_222,addition(X_222,X_223)),addition(addition(X_222,X_222),X_223)) ),[1,0],$fot(X_222)]]) ).
cnf(refute_0_77,plain,
( addition(X_222,addition(X_222,X_223)) != addition(addition(X_222,X_222),X_223)
| addition(X_222,addition(X_222,X_223)) = addition(X_222,X_223) ),
inference(resolve,[$cnf( $equal(addition(X_222,X_222),X_222) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
addition(X_222,addition(X_222,X_223)) = addition(X_222,X_223),
inference(resolve,[$cnf( $equal(addition(X_222,addition(X_222,X_223)),addition(addition(X_222,X_222),X_223)) )],[refute_0_73,refute_0_77]) ).
cnf(refute_0_79,plain,
addition(antidomain(X0),addition(antidomain(X0),domain(X0))) = addition(antidomain(X0),domain(X0)),
inference(subst,[],[refute_0_78:[bind(X_222,$fot(antidomain(X0))),bind(X_223,$fot(domain(X0)))]]) ).
cnf(refute_0_80,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_81,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_42:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_82,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_83,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_86,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_87,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_89,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_90,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_93,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_84,refute_0_93]) ).
cnf(refute_0_95,plain,
( addition(antidomain(X0),addition(antidomain(X0),domain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(antidomain(X0),domain(X0))),addition(antidomain(X0),domain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_96,plain,
( addition(antidomain(X0),addition(antidomain(X0),domain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(antidomain(X0),domain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_79,refute_0_96]) ).
cnf(refute_0_98,plain,
addition(antidomain(X0),one) = addition(one,antidomain(X0)),
inference(subst,[],[refute_0_42:[bind(A,$fot(one)),bind(B,$fot(antidomain(X0)))]]) ).
cnf(refute_0_99,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),one) != addition(one,antidomain(X0))
| addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),one),addition(antidomain(X0),domain(X0))) ),[0],$fot(addition(one,antidomain(X0)))]]) ).
cnf(refute_0_100,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),one),addition(one,antidomain(X0))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( addition(antidomain(X0),domain(X0)) != one
| addition(one,antidomain(X0)) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(X0)),addition(antidomain(X0),domain(X0))) ),[1],$fot(one)]]) ).
cnf(refute_0_102,plain,
( addition(one,antidomain(X0)) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_94,refute_0_101]) ).
cnf(refute_0_103,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X0)),addition(antidomain(X0),domain(X0))) )],[refute_0_100,refute_0_102]) ).
cnf(refute_0_104,plain,
addition(one,antidomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),one),addition(antidomain(X0),domain(X0))) )],[refute_0_97,refute_0_103]) ).
cnf(refute_0_105,plain,
addition(one,antidomain(codomain(X_2098))) = one,
inference(subst,[],[refute_0_104:[bind(X0,$fot(codomain(X_2098)))]]) ).
cnf(refute_0_106,plain,
multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)))]]) ).
cnf(refute_0_107,plain,
( addition(one,antidomain(codomain(X_2098))) != one
| multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) != multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098))
| multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = multiplication(one,coantidomain(X_2098)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_108,plain,
( addition(one,antidomain(codomain(X_2098))) != one
| multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = multiplication(one,coantidomain(X_2098)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = multiplication(one,coantidomain(X_2098)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(codomain(X_2098))),one) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_111,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_40,refute_0_110]) ).
cnf(refute_0_112,plain,
( multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) != multiplication(one,coantidomain(X_2098))
| multiplication(one,coantidomain(X_2098)) != coantidomain(X_2098)
| multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = coantidomain(X_2098) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)))),bind(Y,$fot(multiplication(one,coantidomain(X_2098)))),bind(Z,$fot(coantidomain(X_2098)))]]) ).
cnf(refute_0_113,plain,
( multiplication(one,coantidomain(X_2098)) != coantidomain(X_2098)
| multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = coantidomain(X_2098) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),multiplication(one,coantidomain(X_2098))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) = coantidomain(X_2098),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(X_2098)),coantidomain(X_2098)) )],[refute_0_71,refute_0_113]) ).
cnf(refute_0_115,plain,
( multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) != addition(coantidomain(X_2098),antidomain(codomain(X_2098)))
| multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) != coantidomain(X_2098)
| coantidomain(X_2098) = addition(coantidomain(X_2098),antidomain(codomain(X_2098))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),addition(coantidomain(X_2098),antidomain(codomain(X_2098)))) ),[0],$fot(coantidomain(X_2098))]]) ).
cnf(refute_0_116,plain,
( multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)) != addition(coantidomain(X_2098),antidomain(codomain(X_2098)))
| coantidomain(X_2098) = addition(coantidomain(X_2098),antidomain(codomain(X_2098))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),coantidomain(X_2098)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
coantidomain(X_2098) = addition(coantidomain(X_2098),antidomain(codomain(X_2098))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_2098))),coantidomain(X_2098)),addition(coantidomain(X_2098),antidomain(codomain(X_2098)))) )],[refute_0_70,refute_0_116]) ).
cnf(refute_0_118,plain,
coantidomain(X_238) = addition(coantidomain(X_238),antidomain(codomain(X_238))),
inference(subst,[],[refute_0_117:[bind(X_2098,$fot(X_238))]]) ).
cnf(refute_0_119,plain,
( coantidomain(X_238) != addition(coantidomain(X_238),antidomain(codomain(X_238)))
| addition(coantidomain(X_238),antidomain(codomain(X_238))) = coantidomain(X_238) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(coantidomain(X_238))),bind(Y,$fot(addition(coantidomain(X_238),antidomain(codomain(X_238)))))]]) ).
cnf(refute_0_120,plain,
addition(coantidomain(X_238),antidomain(codomain(X_238))) = coantidomain(X_238),
inference(resolve,[$cnf( $equal(coantidomain(X_238),addition(coantidomain(X_238),antidomain(codomain(X_238)))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
( addition(coantidomain(X_238),antidomain(codomain(X_238))) != coantidomain(X_238)
| multiplication(X_238,addition(coantidomain(X_238),antidomain(codomain(X_238)))) != multiplication(X_238,antidomain(codomain(X_238)))
| multiplication(X_238,coantidomain(X_238)) = multiplication(X_238,antidomain(codomain(X_238))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,addition(coantidomain(X_238),antidomain(codomain(X_238)))),multiplication(X_238,antidomain(codomain(X_238)))) ),[0,1],$fot(coantidomain(X_238))]]) ).
cnf(refute_0_122,plain,
( multiplication(X_238,addition(coantidomain(X_238),antidomain(codomain(X_238)))) != multiplication(X_238,antidomain(codomain(X_238)))
| multiplication(X_238,coantidomain(X_238)) = multiplication(X_238,antidomain(codomain(X_238))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_238),antidomain(codomain(X_238))),coantidomain(X_238)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiplication(X_238,coantidomain(X_238)) = multiplication(X_238,antidomain(codomain(X_238))),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(coantidomain(X_238),antidomain(codomain(X_238)))),multiplication(X_238,antidomain(codomain(X_238)))) )],[refute_0_17,refute_0_122]) ).
cnf(refute_0_124,plain,
( multiplication(X_238,coantidomain(X_238)) != multiplication(X_238,antidomain(codomain(X_238)))
| multiplication(X_238,coantidomain(X_238)) != zero
| zero = multiplication(X_238,antidomain(codomain(X_238))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,coantidomain(X_238)),multiplication(X_238,antidomain(codomain(X_238)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_125,plain,
( multiplication(X_238,coantidomain(X_238)) != multiplication(X_238,antidomain(codomain(X_238)))
| zero = multiplication(X_238,antidomain(codomain(X_238))) ),
inference(resolve,[$cnf( $equal(multiplication(X_238,coantidomain(X_238)),zero) )],[refute_0_3,refute_0_124]) ).
cnf(refute_0_126,plain,
zero = multiplication(X_238,antidomain(codomain(X_238))),
inference(resolve,[$cnf( $equal(multiplication(X_238,coantidomain(X_238)),multiplication(X_238,antidomain(codomain(X_238)))) )],[refute_0_123,refute_0_125]) ).
cnf(refute_0_127,plain,
zero = multiplication(divergence(skolemFOFtoCNF_X0),antidomain(codomain(divergence(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_126:[bind(X_238,$fot(divergence(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_128,plain,
forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_129,plain,
forward_box(antidomain(c(c(X1))),X1) = c(forward_diamond(antidomain(c(c(X1))),c(X1))),
inference(subst,[],[refute_0_128:[bind(X0,$fot(antidomain(c(c(X1)))))]]) ).
cnf(refute_0_130,plain,
forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_131,plain,
forward_diamond(domain(domain(X1)),X1) = domain(multiplication(domain(domain(X1)),domain(X1))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(domain(domain(X1))))]]) ).
cnf(refute_0_132,plain,
multiplication(addition(antidomain(X_157),X_156),X_157) = addition(multiplication(antidomain(X_157),X_157),multiplication(X_156,X_157)),
inference(subst,[],[refute_0_18:[bind(A,$fot(antidomain(X_157))),bind(B,$fot(X_156)),bind(C,$fot(X_157))]]) ).
cnf(refute_0_133,plain,
multiplication(antidomain(X_157),X_157) = zero,
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_157))]]) ).
cnf(refute_0_134,plain,
( multiplication(addition(antidomain(X_157),X_156),X_157) != addition(multiplication(antidomain(X_157),X_157),multiplication(X_156,X_157))
| multiplication(antidomain(X_157),X_157) != zero
| multiplication(addition(antidomain(X_157),X_156),X_157) = addition(zero,multiplication(X_156,X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_157),X_156),X_157),addition(multiplication(antidomain(X_157),X_157),multiplication(X_156,X_157))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_135,plain,
( multiplication(addition(antidomain(X_157),X_156),X_157) != addition(multiplication(antidomain(X_157),X_157),multiplication(X_156,X_157))
| multiplication(addition(antidomain(X_157),X_156),X_157) = addition(zero,multiplication(X_156,X_157)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_157),X_157),zero) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
multiplication(addition(antidomain(X_157),X_156),X_157) = addition(zero,multiplication(X_156,X_157)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_157),X_156),X_157),addition(multiplication(antidomain(X_157),X_157),multiplication(X_156,X_157))) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
addition(zero,multiplication(X_156,X_157)) = multiplication(X_156,X_157),
inference(subst,[],[refute_0_12:[bind(A,$fot(multiplication(X_156,X_157)))]]) ).
cnf(refute_0_138,plain,
( addition(zero,multiplication(X_156,X_157)) != multiplication(X_156,X_157)
| multiplication(addition(antidomain(X_157),X_156),X_157) != addition(zero,multiplication(X_156,X_157))
| multiplication(addition(antidomain(X_157),X_156),X_157) = multiplication(X_156,X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_157),X_156),X_157),addition(zero,multiplication(X_156,X_157))) ),[1],$fot(multiplication(X_156,X_157))]]) ).
cnf(refute_0_139,plain,
( multiplication(addition(antidomain(X_157),X_156),X_157) != addition(zero,multiplication(X_156,X_157))
| multiplication(addition(antidomain(X_157),X_156),X_157) = multiplication(X_156,X_157) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_156,X_157)),multiplication(X_156,X_157)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
multiplication(addition(antidomain(X_157),X_156),X_157) = multiplication(X_156,X_157),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_157),X_156),X_157),addition(zero,multiplication(X_156,X_157))) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
multiplication(addition(antidomain(X_505),domain(X_505)),X_505) = multiplication(domain(X_505),X_505),
inference(subst,[],[refute_0_140:[bind(X_156,$fot(domain(X_505))),bind(X_157,$fot(X_505))]]) ).
cnf(refute_0_142,plain,
addition(antidomain(X_505),domain(X_505)) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_505))]]) ).
cnf(refute_0_143,plain,
( addition(antidomain(X_505),domain(X_505)) != one
| multiplication(addition(antidomain(X_505),domain(X_505)),X_505) != multiplication(domain(X_505),X_505)
| multiplication(one,X_505) = multiplication(domain(X_505),X_505) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_505),domain(X_505)),X_505),multiplication(domain(X_505),X_505)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_144,plain,
( multiplication(addition(antidomain(X_505),domain(X_505)),X_505) != multiplication(domain(X_505),X_505)
| multiplication(one,X_505) = multiplication(domain(X_505),X_505) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_505),domain(X_505)),one) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiplication(one,X_505) = multiplication(domain(X_505),X_505),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_505),domain(X_505)),X_505),multiplication(domain(X_505),X_505)) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
multiplication(one,X_505) = X_505,
inference(subst,[],[refute_0_20:[bind(A,$fot(X_505))]]) ).
cnf(refute_0_147,plain,
( multiplication(one,X_505) != X_505
| multiplication(one,X_505) != multiplication(domain(X_505),X_505)
| X_505 = multiplication(domain(X_505),X_505) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_505),multiplication(domain(X_505),X_505)) ),[0],$fot(X_505)]]) ).
cnf(refute_0_148,plain,
( multiplication(one,X_505) != multiplication(domain(X_505),X_505)
| X_505 = multiplication(domain(X_505),X_505) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_505),X_505) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
X_505 = multiplication(domain(X_505),X_505),
inference(resolve,[$cnf( $equal(multiplication(one,X_505),multiplication(domain(X_505),X_505)) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
domain(X1) = multiplication(domain(domain(X1)),domain(X1)),
inference(subst,[],[refute_0_149:[bind(X_505,$fot(domain(X1)))]]) ).
cnf(refute_0_151,plain,
( domain(X1) != multiplication(domain(domain(X1)),domain(X1))
| multiplication(domain(domain(X1)),domain(X1)) = domain(X1) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(X1))),bind(Y,$fot(multiplication(domain(domain(X1)),domain(X1))))]]) ).
cnf(refute_0_152,plain,
multiplication(domain(domain(X1)),domain(X1)) = domain(X1),
inference(resolve,[$cnf( $equal(domain(X1),multiplication(domain(domain(X1)),domain(X1))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( forward_diamond(domain(domain(X1)),X1) != domain(multiplication(domain(domain(X1)),domain(X1)))
| multiplication(domain(domain(X1)),domain(X1)) != domain(X1)
| forward_diamond(domain(domain(X1)),X1) = domain(domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(domain(domain(X1)),X1),domain(multiplication(domain(domain(X1)),domain(X1)))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_154,plain,
( forward_diamond(domain(domain(X1)),X1) != domain(multiplication(domain(domain(X1)),domain(X1)))
| forward_diamond(domain(domain(X1)),X1) = domain(domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),domain(X1)),domain(X1)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
forward_diamond(domain(domain(X1)),X1) = domain(domain(X1)),
inference(resolve,[$cnf( $equal(forward_diamond(domain(domain(X1)),X1),domain(multiplication(domain(domain(X1)),domain(X1)))) )],[refute_0_131,refute_0_154]) ).
cnf(refute_0_156,plain,
domain(antidomain(X_8)) = antidomain(antidomain(antidomain(X_8))),
inference(subst,[],[refute_0_85:[bind(X0,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_157,plain,
domain(X_8) = antidomain(antidomain(X_8)),
inference(subst,[],[refute_0_85:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_158,plain,
( domain(X_8) != antidomain(antidomain(X_8))
| antidomain(antidomain(X_8)) = domain(X_8) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(X_8))),bind(Y,$fot(antidomain(antidomain(X_8))))]]) ).
cnf(refute_0_159,plain,
antidomain(antidomain(X_8)) = domain(X_8),
inference(resolve,[$cnf( $equal(domain(X_8),antidomain(antidomain(X_8))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
( antidomain(antidomain(X_8)) != domain(X_8)
| domain(antidomain(X_8)) != antidomain(antidomain(antidomain(X_8)))
| domain(antidomain(X_8)) = antidomain(domain(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_8)),antidomain(antidomain(antidomain(X_8)))) ),[1,0],$fot(domain(X_8))]]) ).
cnf(refute_0_161,plain,
( domain(antidomain(X_8)) != antidomain(antidomain(antidomain(X_8)))
| domain(antidomain(X_8)) = antidomain(domain(X_8)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_8)),domain(X_8)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
domain(antidomain(X_8)) = antidomain(domain(X_8)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),antidomain(antidomain(antidomain(X_8)))) )],[refute_0_156,refute_0_161]) ).
cnf(refute_0_163,plain,
c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_164,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = c(X0) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(c(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_165,plain,
antidomain(domain(X0)) = c(X0),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
antidomain(domain(X_8)) = c(X_8),
inference(subst,[],[refute_0_165:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_167,plain,
( antidomain(domain(X_8)) != c(X_8)
| domain(antidomain(X_8)) != antidomain(domain(X_8))
| domain(antidomain(X_8)) = c(X_8) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_8)),antidomain(domain(X_8))) ),[1],$fot(c(X_8))]]) ).
cnf(refute_0_168,plain,
( domain(antidomain(X_8)) != antidomain(domain(X_8))
| domain(antidomain(X_8)) = c(X_8) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_8)),c(X_8)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
domain(antidomain(X_8)) = c(X_8),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),antidomain(domain(X_8))) )],[refute_0_162,refute_0_168]) ).
cnf(refute_0_170,plain,
domain(antidomain(antidomain(X0))) = c(antidomain(X0)),
inference(subst,[],[refute_0_169:[bind(X_8,$fot(antidomain(X0)))]]) ).
cnf(refute_0_171,plain,
( antidomain(antidomain(X0)) != domain(X0)
| domain(antidomain(antidomain(X0))) != c(antidomain(X0))
| domain(domain(X0)) = c(antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(antidomain(X0))),c(antidomain(X0))) ),[0,0],$fot(domain(X0))]]) ).
cnf(refute_0_172,plain,
( domain(antidomain(antidomain(X0))) != c(antidomain(X0))
| domain(domain(X0)) = c(antidomain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_87,refute_0_171]) ).
cnf(refute_0_173,plain,
domain(domain(X0)) = c(antidomain(X0)),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(X0))),c(antidomain(X0))) )],[refute_0_170,refute_0_172]) ).
cnf(refute_0_174,plain,
domain(domain(X_11)) = antidomain(antidomain(domain(X_11))),
inference(subst,[],[refute_0_85:[bind(X0,$fot(domain(X_11)))]]) ).
cnf(refute_0_175,plain,
c(X_11) = antidomain(domain(X_11)),
inference(subst,[],[refute_0_163:[bind(X0,$fot(X_11))]]) ).
cnf(refute_0_176,plain,
( c(X_11) != antidomain(domain(X_11))
| antidomain(domain(X_11)) = c(X_11) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(c(X_11))),bind(Y,$fot(antidomain(domain(X_11))))]]) ).
cnf(refute_0_177,plain,
antidomain(domain(X_11)) = c(X_11),
inference(resolve,[$cnf( $equal(c(X_11),antidomain(domain(X_11))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
( antidomain(domain(X_11)) != c(X_11)
| domain(domain(X_11)) != antidomain(antidomain(domain(X_11)))
| domain(domain(X_11)) = antidomain(c(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_11)),antidomain(antidomain(domain(X_11)))) ),[1,0],$fot(c(X_11))]]) ).
cnf(refute_0_179,plain,
( domain(domain(X_11)) != antidomain(antidomain(domain(X_11)))
| domain(domain(X_11)) = antidomain(c(X_11)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_11)),c(X_11)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
domain(domain(X_11)) = antidomain(c(X_11)),
inference(resolve,[$cnf( $equal(domain(domain(X_11)),antidomain(antidomain(domain(X_11)))) )],[refute_0_174,refute_0_179]) ).
cnf(refute_0_181,plain,
domain(domain(X_11)) = c(antidomain(X_11)),
inference(subst,[],[refute_0_173:[bind(X0,$fot(X_11))]]) ).
cnf(refute_0_182,plain,
( domain(domain(X_11)) != antidomain(c(X_11))
| domain(domain(X_11)) != c(antidomain(X_11))
| c(antidomain(X_11)) = antidomain(c(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_11)),antidomain(c(X_11))) ),[0],$fot(c(antidomain(X_11)))]]) ).
cnf(refute_0_183,plain,
( domain(domain(X_11)) != antidomain(c(X_11))
| c(antidomain(X_11)) = antidomain(c(X_11)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_11)),c(antidomain(X_11))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
c(antidomain(X_11)) = antidomain(c(X_11)),
inference(resolve,[$cnf( $equal(domain(domain(X_11)),antidomain(c(X_11))) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
c(antidomain(X0)) = antidomain(c(X0)),
inference(subst,[],[refute_0_184:[bind(X_11,$fot(X0))]]) ).
cnf(refute_0_186,plain,
( c(antidomain(X0)) != antidomain(c(X0))
| domain(domain(X0)) != c(antidomain(X0))
| domain(domain(X0)) = antidomain(c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X0)),c(antidomain(X0))) ),[1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_187,plain,
( domain(domain(X0)) != c(antidomain(X0))
| domain(domain(X0)) = antidomain(c(X0)) ),
inference(resolve,[$cnf( $equal(c(antidomain(X0)),antidomain(c(X0))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
domain(domain(X0)) = antidomain(c(X0)),
inference(resolve,[$cnf( $equal(domain(domain(X0)),c(antidomain(X0))) )],[refute_0_173,refute_0_187]) ).
cnf(refute_0_189,plain,
domain(domain(X1)) = antidomain(c(X1)),
inference(subst,[],[refute_0_188:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_190,plain,
forward_diamond(domain(domain(X1)),X1) = forward_diamond(domain(domain(X1)),X1),
introduced(tautology,[refl,[$fot(forward_diamond(domain(domain(X1)),X1))]]) ).
cnf(refute_0_191,plain,
( domain(domain(X1)) != antidomain(c(X1))
| forward_diamond(domain(domain(X1)),X1) != forward_diamond(domain(domain(X1)),X1)
| forward_diamond(domain(domain(X1)),X1) = forward_diamond(antidomain(c(X1)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(domain(domain(X1)),X1),forward_diamond(domain(domain(X1)),X1)) ),[1,0],$fot(antidomain(c(X1)))]]) ).
cnf(refute_0_192,plain,
( domain(domain(X1)) != antidomain(c(X1))
| forward_diamond(domain(domain(X1)),X1) = forward_diamond(antidomain(c(X1)),X1) ),
inference(resolve,[$cnf( $equal(forward_diamond(domain(domain(X1)),X1),forward_diamond(domain(domain(X1)),X1)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
forward_diamond(domain(domain(X1)),X1) = forward_diamond(antidomain(c(X1)),X1),
inference(resolve,[$cnf( $equal(domain(domain(X1)),antidomain(c(X1))) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
( forward_diamond(domain(domain(X1)),X1) != domain(domain(X1))
| forward_diamond(domain(domain(X1)),X1) != forward_diamond(antidomain(c(X1)),X1)
| forward_diamond(antidomain(c(X1)),X1) = domain(domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(domain(domain(X1)),X1),domain(domain(X1))) ),[0],$fot(forward_diamond(antidomain(c(X1)),X1))]]) ).
cnf(refute_0_195,plain,
( forward_diamond(domain(domain(X1)),X1) != domain(domain(X1))
| forward_diamond(antidomain(c(X1)),X1) = domain(domain(X1)) ),
inference(resolve,[$cnf( $equal(forward_diamond(domain(domain(X1)),X1),forward_diamond(antidomain(c(X1)),X1)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
( domain(domain(X1)) != antidomain(c(X1))
| forward_diamond(antidomain(c(X1)),X1) != domain(domain(X1))
| forward_diamond(antidomain(c(X1)),X1) = antidomain(c(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(antidomain(c(X1)),X1),domain(domain(X1))) ),[1],$fot(antidomain(c(X1)))]]) ).
cnf(refute_0_197,plain,
( forward_diamond(antidomain(c(X1)),X1) != domain(domain(X1))
| forward_diamond(antidomain(c(X1)),X1) = antidomain(c(X1)) ),
inference(resolve,[$cnf( $equal(domain(domain(X1)),antidomain(c(X1))) )],[refute_0_189,refute_0_196]) ).
cnf(refute_0_198,plain,
( forward_diamond(domain(domain(X1)),X1) != domain(domain(X1))
| forward_diamond(antidomain(c(X1)),X1) = antidomain(c(X1)) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(c(X1)),X1),domain(domain(X1))) )],[refute_0_195,refute_0_197]) ).
cnf(refute_0_199,plain,
forward_diamond(antidomain(c(X1)),X1) = antidomain(c(X1)),
inference(resolve,[$cnf( $equal(forward_diamond(domain(domain(X1)),X1),domain(domain(X1))) )],[refute_0_155,refute_0_198]) ).
cnf(refute_0_200,plain,
forward_diamond(antidomain(c(c(X1))),c(X1)) = antidomain(c(c(X1))),
inference(subst,[],[refute_0_199:[bind(X1,$fot(c(X1)))]]) ).
cnf(refute_0_201,plain,
( forward_box(antidomain(c(c(X1))),X1) != c(forward_diamond(antidomain(c(c(X1))),c(X1)))
| forward_diamond(antidomain(c(c(X1))),c(X1)) != antidomain(c(c(X1)))
| forward_box(antidomain(c(c(X1))),X1) = c(antidomain(c(c(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),c(forward_diamond(antidomain(c(c(X1))),c(X1)))) ),[1,0],$fot(antidomain(c(c(X1))))]]) ).
cnf(refute_0_202,plain,
( forward_box(antidomain(c(c(X1))),X1) != c(forward_diamond(antidomain(c(c(X1))),c(X1)))
| forward_box(antidomain(c(c(X1))),X1) = c(antidomain(c(c(X1)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(c(c(X1))),c(X1)),antidomain(c(c(X1)))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
forward_box(antidomain(c(c(X1))),X1) = c(antidomain(c(c(X1)))),
inference(resolve,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),c(forward_diamond(antidomain(c(c(X1))),c(X1)))) )],[refute_0_129,refute_0_202]) ).
cnf(refute_0_204,plain,
forward_box(one,X_79) = c(forward_diamond(one,c(X_79))),
inference(subst,[],[refute_0_128:[bind(X0,$fot(one)),bind(X1,$fot(X_79))]]) ).
cnf(refute_0_205,plain,
forward_diamond(one,X_36) = domain(multiplication(one,domain(X_36))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(one)),bind(X1,$fot(X_36))]]) ).
cnf(refute_0_206,plain,
multiplication(one,domain(X_36)) = domain(X_36),
inference(subst,[],[refute_0_20:[bind(A,$fot(domain(X_36)))]]) ).
cnf(refute_0_207,plain,
( forward_diamond(one,X_36) != domain(multiplication(one,domain(X_36)))
| multiplication(one,domain(X_36)) != domain(X_36)
| forward_diamond(one,X_36) = domain(domain(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,X_36),domain(multiplication(one,domain(X_36)))) ),[1,0],$fot(domain(X_36))]]) ).
cnf(refute_0_208,plain,
( forward_diamond(one,X_36) != domain(multiplication(one,domain(X_36)))
| forward_diamond(one,X_36) = domain(domain(X_36)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_36)),domain(X_36)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
forward_diamond(one,X_36) = domain(domain(X_36)),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_36),domain(multiplication(one,domain(X_36)))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
domain(domain(X_36)) = antidomain(c(X_36)),
inference(subst,[],[refute_0_188:[bind(X0,$fot(X_36))]]) ).
cnf(refute_0_211,plain,
( domain(domain(X_36)) != antidomain(c(X_36))
| forward_diamond(one,X_36) != domain(domain(X_36))
| forward_diamond(one,X_36) = antidomain(c(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,X_36),domain(domain(X_36))) ),[1],$fot(antidomain(c(X_36)))]]) ).
cnf(refute_0_212,plain,
( forward_diamond(one,X_36) != domain(domain(X_36))
| forward_diamond(one,X_36) = antidomain(c(X_36)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_36)),antidomain(c(X_36))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
forward_diamond(one,X_36) = antidomain(c(X_36)),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_36),domain(domain(X_36))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
forward_diamond(one,c(X_79)) = antidomain(c(c(X_79))),
inference(subst,[],[refute_0_213:[bind(X_36,$fot(c(X_79)))]]) ).
cnf(refute_0_215,plain,
( forward_box(one,X_79) != c(forward_diamond(one,c(X_79)))
| forward_diamond(one,c(X_79)) != antidomain(c(c(X_79)))
| forward_box(one,X_79) = c(antidomain(c(c(X_79)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X_79),c(forward_diamond(one,c(X_79)))) ),[1,0],$fot(antidomain(c(c(X_79))))]]) ).
cnf(refute_0_216,plain,
( forward_box(one,X_79) != c(forward_diamond(one,c(X_79)))
| forward_box(one,X_79) = c(antidomain(c(c(X_79)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(one,c(X_79)),antidomain(c(c(X_79)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
forward_box(one,X_79) = c(antidomain(c(c(X_79)))),
inference(resolve,[$cnf( $equal(forward_box(one,X_79),c(forward_diamond(one,c(X_79)))) )],[refute_0_204,refute_0_216]) ).
cnf(refute_0_218,plain,
c(antidomain(c(c(X_79)))) = antidomain(c(c(c(X_79)))),
inference(subst,[],[refute_0_184:[bind(X_11,$fot(c(c(X_79))))]]) ).
cnf(refute_0_219,plain,
( c(antidomain(c(c(X_79)))) != antidomain(c(c(c(X_79))))
| forward_box(one,X_79) != c(antidomain(c(c(X_79))))
| forward_box(one,X_79) = antidomain(c(c(c(X_79)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X_79),c(antidomain(c(c(X_79))))) ),[1],$fot(antidomain(c(c(c(X_79)))))]]) ).
cnf(refute_0_220,plain,
( forward_box(one,X_79) != c(antidomain(c(c(X_79))))
| forward_box(one,X_79) = antidomain(c(c(c(X_79)))) ),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(X_79)))),antidomain(c(c(c(X_79))))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
forward_box(one,X_79) = antidomain(c(c(c(X_79)))),
inference(resolve,[$cnf( $equal(forward_box(one,X_79),c(antidomain(c(c(X_79))))) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
( forward_box(one,X_79) != antidomain(c(c(c(X_79))))
| antidomain(c(c(c(X_79)))) = forward_box(one,X_79) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_box(one,X_79))),bind(Y,$fot(antidomain(c(c(c(X_79))))))]]) ).
cnf(refute_0_223,plain,
antidomain(c(c(c(X_79)))) = forward_box(one,X_79),
inference(resolve,[$cnf( $equal(forward_box(one,X_79),antidomain(c(c(c(X_79))))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
antidomain(c(c(c(X1)))) = forward_box(one,X1),
inference(subst,[],[refute_0_223:[bind(X_79,$fot(X1))]]) ).
cnf(refute_0_225,plain,
c(antidomain(c(c(X1)))) = antidomain(c(c(c(X1)))),
inference(subst,[],[refute_0_184:[bind(X_11,$fot(c(c(X1))))]]) ).
cnf(refute_0_226,plain,
( antidomain(c(c(c(X1)))) != forward_box(one,X1)
| c(antidomain(c(c(X1)))) != antidomain(c(c(c(X1))))
| c(antidomain(c(c(X1)))) = forward_box(one,X1) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(antidomain(c(c(X1)))))),bind(Y,$fot(antidomain(c(c(c(X1)))))),bind(Z,$fot(forward_box(one,X1)))]]) ).
cnf(refute_0_227,plain,
( antidomain(c(c(c(X1)))) != forward_box(one,X1)
| c(antidomain(c(c(X1)))) = forward_box(one,X1) ),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(X1)))),antidomain(c(c(c(X1))))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
c(antidomain(c(c(X1)))) = forward_box(one,X1),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X1)))),forward_box(one,X1)) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
( c(antidomain(c(c(X1)))) != forward_box(one,X1)
| forward_box(antidomain(c(c(X1))),X1) != c(antidomain(c(c(X1))))
| forward_box(antidomain(c(c(X1))),X1) = forward_box(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),c(antidomain(c(c(X1))))) ),[1],$fot(forward_box(one,X1))]]) ).
cnf(refute_0_230,plain,
( forward_box(antidomain(c(c(X1))),X1) != c(antidomain(c(c(X1))))
| forward_box(antidomain(c(c(X1))),X1) = forward_box(one,X1) ),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(X1)))),forward_box(one,X1)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
forward_box(antidomain(c(c(X1))),X1) = forward_box(one,X1),
inference(resolve,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),c(antidomain(c(c(X1))))) )],[refute_0_203,refute_0_230]) ).
cnf(refute_0_232,plain,
multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(subst,[],[refute_0_35:[bind(X_239,$fot(antidomain(X0))),bind(X_240,$fot(domain(X0)))]]) ).
cnf(refute_0_233,plain,
( addition(antidomain(X0),domain(X0)) != one
| multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_234,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( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_94,refute_0_233]) ).
cnf(refute_0_235,plain,
multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_232,refute_0_234]) ).
cnf(refute_0_236,plain,
multiplication(antidomain(domain(X0)),one) = antidomain(domain(X0)),
inference(subst,[],[refute_0_60:[bind(A,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_237,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),one) != antidomain(domain(X0))
| multiplication(antidomain(domain(X0)),one) = c(X0) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(domain(X0)),one))),bind(Y,$fot(antidomain(domain(X0)))),bind(Z,$fot(c(X0)))]]) ).
cnf(refute_0_238,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),one) = c(X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),antidomain(domain(X0))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
multiplication(antidomain(domain(X0)),one) = c(X0),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_165,refute_0_238]) ).
cnf(refute_0_240,plain,
( multiplication(antidomain(domain(X0)),one) != c(X0)
| multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0],$fot(c(X0))]]) ).
cnf(refute_0_241,plain,
( multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),c(X0)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_243,plain,
domain_difference(antidomain(X1),X1) = multiplication(domain(antidomain(X1)),antidomain(X1)),
inference(subst,[],[refute_0_242:[bind(X0,$fot(antidomain(X1)))]]) ).
cnf(refute_0_244,plain,
antidomain(X1) = multiplication(domain(antidomain(X1)),antidomain(X1)),
inference(subst,[],[refute_0_149:[bind(X_505,$fot(antidomain(X1)))]]) ).
cnf(refute_0_245,plain,
( antidomain(X1) != multiplication(domain(antidomain(X1)),antidomain(X1))
| multiplication(domain(antidomain(X1)),antidomain(X1)) = antidomain(X1) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(antidomain(X1))),bind(Y,$fot(multiplication(domain(antidomain(X1)),antidomain(X1))))]]) ).
cnf(refute_0_246,plain,
multiplication(domain(antidomain(X1)),antidomain(X1)) = antidomain(X1),
inference(resolve,[$cnf( $equal(antidomain(X1),multiplication(domain(antidomain(X1)),antidomain(X1))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( domain_difference(antidomain(X1),X1) != multiplication(domain(antidomain(X1)),antidomain(X1))
| multiplication(domain(antidomain(X1)),antidomain(X1)) != antidomain(X1)
| domain_difference(antidomain(X1),X1) = antidomain(X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(antidomain(X1),X1),antidomain(X1)) ),[0],$fot(multiplication(domain(antidomain(X1)),antidomain(X1)))]]) ).
cnf(refute_0_248,plain,
( domain_difference(antidomain(X1),X1) != multiplication(domain(antidomain(X1)),antidomain(X1))
| domain_difference(antidomain(X1),X1) = antidomain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X1)),antidomain(X1)),antidomain(X1)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
domain_difference(antidomain(X1),X1) = antidomain(X1),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X1),X1),multiplication(domain(antidomain(X1)),antidomain(X1))) )],[refute_0_243,refute_0_248]) ).
cnf(refute_0_250,plain,
domain_difference(antidomain(X0),X0) = antidomain(X0),
inference(subst,[],[refute_0_249:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_251,plain,
domain_difference(antidomain(X_8),X_32) = multiplication(domain(antidomain(X_8)),antidomain(X_32)),
inference(subst,[],[refute_0_242:[bind(X0,$fot(antidomain(X_8))),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_252,plain,
( domain(antidomain(X_8)) != c(X_8)
| domain_difference(antidomain(X_8),X_32) != multiplication(domain(antidomain(X_8)),antidomain(X_32))
| domain_difference(antidomain(X_8),X_32) = multiplication(c(X_8),antidomain(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(X_8),X_32),multiplication(domain(antidomain(X_8)),antidomain(X_32))) ),[1,0],$fot(c(X_8))]]) ).
cnf(refute_0_253,plain,
( domain_difference(antidomain(X_8),X_32) != multiplication(domain(antidomain(X_8)),antidomain(X_32))
| domain_difference(antidomain(X_8),X_32) = multiplication(c(X_8),antidomain(X_32)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) )],[refute_0_169,refute_0_252]) ).
cnf(refute_0_254,plain,
domain_difference(antidomain(X_8),X_32) = multiplication(c(X_8),antidomain(X_32)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_8),X_32),multiplication(domain(antidomain(X_8)),antidomain(X_32))) )],[refute_0_251,refute_0_253]) ).
cnf(refute_0_255,plain,
( domain_difference(antidomain(X_8),X_32) != multiplication(c(X_8),antidomain(X_32))
| multiplication(c(X_8),antidomain(X_32)) = domain_difference(antidomain(X_8),X_32) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain_difference(antidomain(X_8),X_32))),bind(Y,$fot(multiplication(c(X_8),antidomain(X_32))))]]) ).
cnf(refute_0_256,plain,
multiplication(c(X_8),antidomain(X_32)) = domain_difference(antidomain(X_8),X_32),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_8),X_32),multiplication(c(X_8),antidomain(X_32))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiplication(c(X0),antidomain(X0)) = domain_difference(antidomain(X0),X0),
inference(subst,[],[refute_0_256:[bind(X_32,$fot(X0)),bind(X_8,$fot(X0))]]) ).
cnf(refute_0_258,plain,
( domain_difference(antidomain(X0),X0) != antidomain(X0)
| multiplication(c(X0),antidomain(X0)) != domain_difference(antidomain(X0),X0)
| multiplication(c(X0),antidomain(X0)) = antidomain(X0) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(c(X0),antidomain(X0)))),bind(Y,$fot(domain_difference(antidomain(X0),X0))),bind(Z,$fot(antidomain(X0)))]]) ).
cnf(refute_0_259,plain,
( domain_difference(antidomain(X0),X0) != antidomain(X0)
| multiplication(c(X0),antidomain(X0)) = antidomain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(c(X0),antidomain(X0)),domain_difference(antidomain(X0),X0)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiplication(c(X0),antidomain(X0)) = antidomain(X0),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X0),X0),antidomain(X0)) )],[refute_0_250,refute_0_259]) ).
cnf(refute_0_261,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))]]) ).
cnf(refute_0_262,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(c(X0),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[1,0],$fot(c(X0))]]) ).
cnf(refute_0_263,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(c(X0),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(c(X0),antidomain(X0)),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_165,refute_0_263]) ).
cnf(refute_0_265,plain,
( multiplication(antidomain(domain(X0)),antidomain(X0)) != multiplication(c(X0),antidomain(X0))
| multiplication(c(X0),antidomain(X0)) != antidomain(X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = antidomain(X0) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))),bind(Y,$fot(multiplication(c(X0),antidomain(X0)))),bind(Z,$fot(antidomain(X0)))]]) ).
cnf(refute_0_266,plain,
( multiplication(c(X0),antidomain(X0)) != antidomain(X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = antidomain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),multiplication(c(X0),antidomain(X0))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = antidomain(X0),
inference(resolve,[$cnf( $equal(multiplication(c(X0),antidomain(X0)),antidomain(X0)) )],[refute_0_260,refute_0_266]) ).
cnf(refute_0_268,plain,
( c(X0) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),antidomain(X0)) != antidomain(X0)
| c(X0) = antidomain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(X0),antidomain(X0)) ),[0],$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))]]) ).
cnf(refute_0_269,plain,
( c(X0) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = antidomain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),antidomain(X0)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
( multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = antidomain(X0) ),
inference(resolve,[$cnf( $equal(c(X0),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_241,refute_0_269]) ).
cnf(refute_0_271,plain,
c(X0) = antidomain(X0),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_235,refute_0_270]) ).
cnf(refute_0_272,plain,
( c(X0) != antidomain(X0)
| c(X0) != antidomain(domain(X0))
| antidomain(X0) = antidomain(domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(c(X0),antidomain(domain(X0))) ),[0],$fot(antidomain(X0))]]) ).
cnf(refute_0_273,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(X0) = antidomain(domain(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
antidomain(X0) = antidomain(domain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_163,refute_0_273]) ).
cnf(refute_0_275,plain,
( antidomain(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = antidomain(X0) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(antidomain(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_276,plain,
antidomain(domain(X0)) = antidomain(X0),
inference(resolve,[$cnf( $equal(antidomain(X0),antidomain(domain(X0))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
antidomain(domain(X1)) = antidomain(X1),
inference(subst,[],[refute_0_276:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_278,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(subst,[],[refute_0_87:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_279,plain,
c(X1) = antidomain(X1),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_280,plain,
antidomain(c(X1)) = antidomain(c(X1)),
introduced(tautology,[refl,[$fot(antidomain(c(X1)))]]) ).
cnf(refute_0_281,plain,
( antidomain(c(X1)) != antidomain(c(X1))
| c(X1) != antidomain(X1)
| antidomain(c(X1)) = antidomain(antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X1)),antidomain(c(X1))) ),[1,0],$fot(antidomain(X1))]]) ).
cnf(refute_0_282,plain,
( c(X1) != antidomain(X1)
| antidomain(c(X1)) = antidomain(antidomain(X1)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X1)),antidomain(c(X1))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
antidomain(c(X1)) = antidomain(antidomain(X1)),
inference(resolve,[$cnf( $equal(c(X1),antidomain(X1)) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
( antidomain(antidomain(X1)) != domain(X1)
| antidomain(c(X1)) != antidomain(antidomain(X1))
| antidomain(c(X1)) = domain(X1) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(X1)))),bind(Y,$fot(antidomain(antidomain(X1)))),bind(Z,$fot(domain(X1)))]]) ).
cnf(refute_0_285,plain,
( antidomain(antidomain(X1)) != domain(X1)
| antidomain(c(X1)) = domain(X1) ),
inference(resolve,[$cnf( $equal(antidomain(c(X1)),antidomain(antidomain(X1))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
antidomain(c(X1)) = domain(X1),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_278,refute_0_285]) ).
cnf(refute_0_287,plain,
c(c(X1)) = antidomain(c(X1)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(c(X1)))]]) ).
cnf(refute_0_288,plain,
( antidomain(c(X1)) != domain(X1)
| c(c(X1)) != antidomain(c(X1))
| c(c(X1)) = domain(X1) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(c(X1)))),bind(Y,$fot(antidomain(c(X1)))),bind(Z,$fot(domain(X1)))]]) ).
cnf(refute_0_289,plain,
( antidomain(c(X1)) != domain(X1)
| c(c(X1)) = domain(X1) ),
inference(resolve,[$cnf( $equal(c(c(X1)),antidomain(c(X1))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
c(c(X1)) = domain(X1),
inference(resolve,[$cnf( $equal(antidomain(c(X1)),domain(X1)) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
antidomain(c(c(X1))) = antidomain(c(c(X1))),
introduced(tautology,[refl,[$fot(antidomain(c(c(X1))))]]) ).
cnf(refute_0_292,plain,
( antidomain(c(c(X1))) != antidomain(c(c(X1)))
| c(c(X1)) != domain(X1)
| antidomain(c(c(X1))) = antidomain(domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(c(X1))),antidomain(c(c(X1)))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_293,plain,
( c(c(X1)) != domain(X1)
| antidomain(c(c(X1))) = antidomain(domain(X1)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(X1))),antidomain(c(c(X1)))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
antidomain(c(c(X1))) = antidomain(domain(X1)),
inference(resolve,[$cnf( $equal(c(c(X1)),domain(X1)) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( antidomain(c(c(X1))) != antidomain(domain(X1))
| antidomain(domain(X1)) != antidomain(X1)
| antidomain(c(c(X1))) = antidomain(X1) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(c(X1))))),bind(Y,$fot(antidomain(domain(X1)))),bind(Z,$fot(antidomain(X1)))]]) ).
cnf(refute_0_296,plain,
( antidomain(domain(X1)) != antidomain(X1)
| antidomain(c(c(X1))) = antidomain(X1) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(X1))),antidomain(domain(X1))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
antidomain(c(c(X1))) = antidomain(X1),
inference(resolve,[$cnf( $equal(antidomain(domain(X1)),antidomain(X1)) )],[refute_0_277,refute_0_296]) ).
cnf(refute_0_298,plain,
forward_box(antidomain(c(c(X1))),X1) = forward_box(antidomain(c(c(X1))),X1),
introduced(tautology,[refl,[$fot(forward_box(antidomain(c(c(X1))),X1))]]) ).
cnf(refute_0_299,plain,
( antidomain(c(c(X1))) != antidomain(X1)
| forward_box(antidomain(c(c(X1))),X1) != forward_box(antidomain(c(c(X1))),X1)
| forward_box(antidomain(c(c(X1))),X1) = forward_box(antidomain(X1),X1) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),forward_box(antidomain(c(c(X1))),X1)) ),[1,0],$fot(antidomain(X1))]]) ).
cnf(refute_0_300,plain,
( antidomain(c(c(X1))) != antidomain(X1)
| forward_box(antidomain(c(c(X1))),X1) = forward_box(antidomain(X1),X1) ),
inference(resolve,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),forward_box(antidomain(c(c(X1))),X1)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
forward_box(antidomain(c(c(X1))),X1) = forward_box(antidomain(X1),X1),
inference(resolve,[$cnf( $equal(antidomain(c(c(X1))),antidomain(X1)) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
( forward_box(antidomain(c(c(X1))),X1) != forward_box(antidomain(X1),X1)
| forward_box(antidomain(c(c(X1))),X1) != forward_box(one,X1)
| forward_box(antidomain(X1),X1) = forward_box(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),forward_box(one,X1)) ),[0],$fot(forward_box(antidomain(X1),X1))]]) ).
cnf(refute_0_303,plain,
( forward_box(antidomain(c(c(X1))),X1) != forward_box(one,X1)
| forward_box(antidomain(X1),X1) = forward_box(one,X1) ),
inference(resolve,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),forward_box(antidomain(X1),X1)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
antidomain(antidomain(X_79)) = domain(X_79),
inference(subst,[],[refute_0_87:[bind(X0,$fot(X_79))]]) ).
cnf(refute_0_305,plain,
antidomain(domain(X_79)) = antidomain(X_79),
inference(subst,[],[refute_0_276:[bind(X0,$fot(X_79))]]) ).
cnf(refute_0_306,plain,
c(X_79) = antidomain(X_79),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_79))]]) ).
cnf(refute_0_307,plain,
antidomain(c(X_79)) = antidomain(c(X_79)),
introduced(tautology,[refl,[$fot(antidomain(c(X_79)))]]) ).
cnf(refute_0_308,plain,
( antidomain(c(X_79)) != antidomain(c(X_79))
| c(X_79) != antidomain(X_79)
| antidomain(c(X_79)) = antidomain(antidomain(X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_79)),antidomain(c(X_79))) ),[1,0],$fot(antidomain(X_79))]]) ).
cnf(refute_0_309,plain,
( c(X_79) != antidomain(X_79)
| antidomain(c(X_79)) = antidomain(antidomain(X_79)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_79)),antidomain(c(X_79))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
antidomain(c(X_79)) = antidomain(antidomain(X_79)),
inference(resolve,[$cnf( $equal(c(X_79),antidomain(X_79)) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( antidomain(antidomain(X_79)) != domain(X_79)
| antidomain(c(X_79)) != antidomain(antidomain(X_79))
| antidomain(c(X_79)) = domain(X_79) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(X_79)))),bind(Y,$fot(antidomain(antidomain(X_79)))),bind(Z,$fot(domain(X_79)))]]) ).
cnf(refute_0_312,plain,
( antidomain(antidomain(X_79)) != domain(X_79)
| antidomain(c(X_79)) = domain(X_79) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_79)),antidomain(antidomain(X_79))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
antidomain(c(X_79)) = domain(X_79),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_79)),domain(X_79)) )],[refute_0_304,refute_0_312]) ).
cnf(refute_0_314,plain,
c(c(X_79)) = antidomain(c(X_79)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(c(X_79)))]]) ).
cnf(refute_0_315,plain,
( antidomain(c(X_79)) != domain(X_79)
| c(c(X_79)) != antidomain(c(X_79))
| c(c(X_79)) = domain(X_79) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(c(X_79)))),bind(Y,$fot(antidomain(c(X_79)))),bind(Z,$fot(domain(X_79)))]]) ).
cnf(refute_0_316,plain,
( antidomain(c(X_79)) != domain(X_79)
| c(c(X_79)) = domain(X_79) ),
inference(resolve,[$cnf( $equal(c(c(X_79)),antidomain(c(X_79))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
c(c(X_79)) = domain(X_79),
inference(resolve,[$cnf( $equal(antidomain(c(X_79)),domain(X_79)) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
antidomain(c(c(X_79))) = antidomain(c(c(X_79))),
introduced(tautology,[refl,[$fot(antidomain(c(c(X_79))))]]) ).
cnf(refute_0_319,plain,
( antidomain(c(c(X_79))) != antidomain(c(c(X_79)))
| c(c(X_79)) != domain(X_79)
| antidomain(c(c(X_79))) = antidomain(domain(X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(c(X_79))),antidomain(c(c(X_79)))) ),[1,0],$fot(domain(X_79))]]) ).
cnf(refute_0_320,plain,
( c(c(X_79)) != domain(X_79)
| antidomain(c(c(X_79))) = antidomain(domain(X_79)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(X_79))),antidomain(c(c(X_79)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
antidomain(c(c(X_79))) = antidomain(domain(X_79)),
inference(resolve,[$cnf( $equal(c(c(X_79)),domain(X_79)) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
( antidomain(c(c(X_79))) != antidomain(domain(X_79))
| antidomain(domain(X_79)) != antidomain(X_79)
| antidomain(c(c(X_79))) = antidomain(X_79) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(c(X_79))))),bind(Y,$fot(antidomain(domain(X_79)))),bind(Z,$fot(antidomain(X_79)))]]) ).
cnf(refute_0_323,plain,
( antidomain(domain(X_79)) != antidomain(X_79)
| antidomain(c(c(X_79))) = antidomain(X_79) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(X_79))),antidomain(domain(X_79))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
antidomain(c(c(X_79))) = antidomain(X_79),
inference(resolve,[$cnf( $equal(antidomain(domain(X_79)),antidomain(X_79)) )],[refute_0_305,refute_0_323]) ).
cnf(refute_0_325,plain,
c(c(c(X_79))) = antidomain(c(c(X_79))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(c(c(X_79))))]]) ).
cnf(refute_0_326,plain,
( antidomain(c(c(X_79))) != antidomain(X_79)
| c(c(c(X_79))) != antidomain(c(c(X_79)))
| c(c(c(X_79))) = antidomain(X_79) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(c(c(X_79))))),bind(Y,$fot(antidomain(c(c(X_79))))),bind(Z,$fot(antidomain(X_79)))]]) ).
cnf(refute_0_327,plain,
( antidomain(c(c(X_79))) != antidomain(X_79)
| c(c(c(X_79))) = antidomain(X_79) ),
inference(resolve,[$cnf( $equal(c(c(c(X_79))),antidomain(c(c(X_79)))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
c(c(c(X_79))) = antidomain(X_79),
inference(resolve,[$cnf( $equal(antidomain(c(c(X_79))),antidomain(X_79)) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
antidomain(c(c(c(X_79)))) = antidomain(c(c(c(X_79)))),
introduced(tautology,[refl,[$fot(antidomain(c(c(c(X_79)))))]]) ).
cnf(refute_0_330,plain,
( antidomain(c(c(c(X_79)))) != antidomain(c(c(c(X_79))))
| c(c(c(X_79))) != antidomain(X_79)
| antidomain(c(c(c(X_79)))) = antidomain(antidomain(X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(c(c(X_79)))),antidomain(c(c(c(X_79))))) ),[1,0],$fot(antidomain(X_79))]]) ).
cnf(refute_0_331,plain,
( c(c(c(X_79))) != antidomain(X_79)
| antidomain(c(c(c(X_79)))) = antidomain(antidomain(X_79)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X_79)))),antidomain(c(c(c(X_79))))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
antidomain(c(c(c(X_79)))) = antidomain(antidomain(X_79)),
inference(resolve,[$cnf( $equal(c(c(c(X_79))),antidomain(X_79)) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
( antidomain(antidomain(X_79)) != domain(X_79)
| antidomain(c(c(c(X_79)))) != antidomain(antidomain(X_79))
| antidomain(c(c(c(X_79)))) = domain(X_79) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(c(c(X_79)))))),bind(Y,$fot(antidomain(antidomain(X_79)))),bind(Z,$fot(domain(X_79)))]]) ).
cnf(refute_0_334,plain,
( antidomain(antidomain(X_79)) != domain(X_79)
| antidomain(c(c(c(X_79)))) = domain(X_79) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X_79)))),antidomain(antidomain(X_79))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
antidomain(c(c(c(X_79)))) = domain(X_79),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_79)),domain(X_79)) )],[refute_0_304,refute_0_334]) ).
cnf(refute_0_336,plain,
( antidomain(c(c(c(X_79)))) != domain(X_79)
| forward_box(one,X_79) != antidomain(c(c(c(X_79))))
| forward_box(one,X_79) = domain(X_79) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X_79),antidomain(c(c(c(X_79))))) ),[1],$fot(domain(X_79))]]) ).
cnf(refute_0_337,plain,
( forward_box(one,X_79) != antidomain(c(c(c(X_79))))
| forward_box(one,X_79) = domain(X_79) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X_79)))),domain(X_79)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
forward_box(one,X_79) = domain(X_79),
inference(resolve,[$cnf( $equal(forward_box(one,X_79),antidomain(c(c(c(X_79))))) )],[refute_0_221,refute_0_337]) ).
cnf(refute_0_339,plain,
forward_box(one,X1) = domain(X1),
inference(subst,[],[refute_0_338:[bind(X_79,$fot(X1))]]) ).
cnf(refute_0_340,plain,
( forward_box(antidomain(X1),X1) != forward_box(one,X1)
| forward_box(one,X1) != domain(X1)
| forward_box(antidomain(X1),X1) = domain(X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(forward_box(antidomain(X1),X1),domain(X1)) ),[0],$fot(forward_box(one,X1))]]) ).
cnf(refute_0_341,plain,
( forward_box(antidomain(X1),X1) != forward_box(one,X1)
| forward_box(antidomain(X1),X1) = domain(X1) ),
inference(resolve,[$cnf( $equal(forward_box(one,X1),domain(X1)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
( forward_box(antidomain(c(c(X1))),X1) != forward_box(one,X1)
| forward_box(antidomain(X1),X1) = domain(X1) ),
inference(resolve,[$cnf( $equal(forward_box(antidomain(X1),X1),forward_box(one,X1)) )],[refute_0_303,refute_0_341]) ).
cnf(refute_0_343,plain,
forward_box(antidomain(X1),X1) = domain(X1),
inference(resolve,[$cnf( $equal(forward_box(antidomain(c(c(X1))),X1),forward_box(one,X1)) )],[refute_0_231,refute_0_342]) ).
cnf(refute_0_344,plain,
forward_box(antidomain(backward_box(X_2354,addition(X_2354,X_2355))),backward_box(X_2354,addition(X_2354,X_2355))) = domain(backward_box(X_2354,addition(X_2354,X_2355))),
inference(subst,[],[refute_0_343:[bind(X1,$fot(backward_box(X_2354,addition(X_2354,X_2355))))]]) ).
cnf(refute_0_345,plain,
multiplication(antidomain(multiplication(antidomain(X_1001),domain(X_1001))),multiplication(antidomain(X_1001),domain(X_1001))) = zero,
inference(subst,[],[refute_0_27:[bind(X0,$fot(multiplication(antidomain(X_1001),domain(X_1001))))]]) ).
cnf(refute_0_346,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_347,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).
cnf(refute_0_348,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_349,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_278,refute_0_349]) ).
cnf(refute_0_351,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_352,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_353,plain,
( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).
cnf(refute_0_356,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_357,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
introduced(tautology,[equality,[$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_360,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$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_362,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( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_354,refute_0_361]) ).
cnf(refute_0_363,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_360,refute_0_362]) ).
cnf(refute_0_364,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_346,refute_0_363]) ).
cnf(refute_0_365,plain,
addition(antidomain(multiplication(antidomain(X_1000),X_1000)),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = antidomain(multiplication(antidomain(X_1000),domain(X_1000))),
inference(subst,[],[refute_0_364:[bind(X0,$fot(antidomain(X_1000))),bind(X1,$fot(X_1000))]]) ).
cnf(refute_0_366,plain,
multiplication(antidomain(X_1000),X_1000) = zero,
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_1000))]]) ).
cnf(refute_0_367,plain,
( addition(antidomain(multiplication(antidomain(X_1000),X_1000)),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != antidomain(multiplication(antidomain(X_1000),domain(X_1000)))
| multiplication(antidomain(X_1000),X_1000) != zero
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = antidomain(multiplication(antidomain(X_1000),domain(X_1000))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_1000),X_1000)),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_368,plain,
( addition(antidomain(multiplication(antidomain(X_1000),X_1000)),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != antidomain(multiplication(antidomain(X_1000),domain(X_1000)))
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = antidomain(multiplication(antidomain(X_1000),domain(X_1000))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_1000),X_1000),zero) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = antidomain(multiplication(antidomain(X_1000),domain(X_1000))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_1000),X_1000)),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = one,
inference(subst,[],[refute_0_104:[bind(X0,$fot(multiplication(antidomain(X_1000),domain(X_1000))))]]) ).
cnf(refute_0_371,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_8:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_372,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(one))]]) ).
cnf(refute_0_373,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_85:[bind(X0,$fot(one))]]) ).
cnf(refute_0_374,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_60:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_375,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_27:[bind(X0,$fot(one))]]) ).
cnf(refute_0_376,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| zero = antidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_377,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_40:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_380,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
( antidomain(one) != zero
| domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_382,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_373,refute_0_382]) ).
cnf(refute_0_384,plain,
( addition(antidomain(one),domain(one)) != one
| domain(one) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_385,plain,
( addition(antidomain(one),domain(one)) != one
| addition(antidomain(one),antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
addition(antidomain(one),antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_372,refute_0_385]) ).
cnf(refute_0_387,plain,
addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).
cnf(refute_0_388,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_389,plain,
( antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_380,refute_0_389]) ).
cnf(refute_0_391,plain,
( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
| addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_392,plain,
( addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_386,refute_0_392]) ).
cnf(refute_0_394,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_395,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_371,refute_0_395]) ).
cnf(refute_0_397,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_7:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_398,plain,
( addition(antidomain(zero),zero) != antidomain(zero)
| one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(antidomain(zero),zero)) ),[1],$fot(antidomain(zero))]]) ).
cnf(refute_0_399,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_40:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_402,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))))]]) ).
cnf(refute_0_404,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_405,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000))))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000))))
| addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = one ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))))),bind(Y,$fot(addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_408,plain,
( addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000))))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) = one,
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),one) )],[refute_0_370,refute_0_408]) ).
cnf(refute_0_410,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != antidomain(multiplication(antidomain(X_1000),domain(X_1000)))
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != one
| one = antidomain(multiplication(antidomain(X_1000),domain(X_1000))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) ),[0],$fot(one)]]) ).
cnf(refute_0_411,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) != antidomain(multiplication(antidomain(X_1000),domain(X_1000)))
| one = antidomain(multiplication(antidomain(X_1000),domain(X_1000))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),one) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
one = antidomain(multiplication(antidomain(X_1000),domain(X_1000))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))),antidomain(multiplication(antidomain(X_1000),domain(X_1000)))) )],[refute_0_369,refute_0_411]) ).
cnf(refute_0_413,plain,
one = antidomain(multiplication(antidomain(X_1001),domain(X_1001))),
inference(subst,[],[refute_0_412:[bind(X_1000,$fot(X_1001))]]) ).
cnf(refute_0_414,plain,
( one != antidomain(multiplication(antidomain(X_1001),domain(X_1001)))
| antidomain(multiplication(antidomain(X_1001),domain(X_1001))) = one ),
inference(subst,[],[refute_0_40:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(antidomain(X_1001),domain(X_1001)))))]]) ).
cnf(refute_0_415,plain,
antidomain(multiplication(antidomain(X_1001),domain(X_1001))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(antidomain(X_1001),domain(X_1001)))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
( antidomain(multiplication(antidomain(X_1001),domain(X_1001))) != one
| multiplication(antidomain(multiplication(antidomain(X_1001),domain(X_1001))),multiplication(antidomain(X_1001),domain(X_1001))) != zero
| multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(X_1001),domain(X_1001))),multiplication(antidomain(X_1001),domain(X_1001))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_417,plain,
( multiplication(antidomain(multiplication(antidomain(X_1001),domain(X_1001))),multiplication(antidomain(X_1001),domain(X_1001))) != zero
| multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(antidomain(X_1001),domain(X_1001))),one) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(X_1001),domain(X_1001))),multiplication(antidomain(X_1001),domain(X_1001))),zero) )],[refute_0_345,refute_0_417]) ).
cnf(refute_0_419,plain,
multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))) = multiplication(antidomain(X_1001),domain(X_1001)),
inference(subst,[],[refute_0_20:[bind(A,$fot(multiplication(antidomain(X_1001),domain(X_1001))))]]) ).
cnf(refute_0_420,plain,
( multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))) != multiplication(antidomain(X_1001),domain(X_1001))
| multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))) != zero
| multiplication(antidomain(X_1001),domain(X_1001)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))),zero) ),[0],$fot(multiplication(antidomain(X_1001),domain(X_1001)))]]) ).
cnf(refute_0_421,plain,
( multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))) != zero
| multiplication(antidomain(X_1001),domain(X_1001)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))),multiplication(antidomain(X_1001),domain(X_1001))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
multiplication(antidomain(X_1001),domain(X_1001)) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(X_1001),domain(X_1001))),zero) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
multiplication(antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) = zero,
inference(subst,[],[refute_0_422:[bind(X_1001,$fot(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))))]]) ).
cnf(refute_0_424,plain,
addition(antidomain(multiplication(X_999,coantidomain(addition(X_155,X_999)))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))),
inference(subst,[],[refute_0_364:[bind(X0,$fot(X_999)),bind(X1,$fot(coantidomain(addition(X_155,X_999))))]]) ).
cnf(refute_0_425,plain,
multiplication(addition(X_155,X_156),coantidomain(X_156)) = addition(multiplication(X_155,coantidomain(X_156)),multiplication(X_156,coantidomain(X_156))),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_155)),bind(B,$fot(X_156)),bind(C,$fot(coantidomain(X_156)))]]) ).
cnf(refute_0_426,plain,
multiplication(X_156,coantidomain(X_156)) = zero,
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_156))]]) ).
cnf(refute_0_427,plain,
( multiplication(X_156,coantidomain(X_156)) != zero
| multiplication(addition(X_155,X_156),coantidomain(X_156)) != addition(multiplication(X_155,coantidomain(X_156)),multiplication(X_156,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),coantidomain(X_156)) = addition(multiplication(X_155,coantidomain(X_156)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,X_156),coantidomain(X_156)),addition(multiplication(X_155,coantidomain(X_156)),multiplication(X_156,coantidomain(X_156)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_428,plain,
( multiplication(addition(X_155,X_156),coantidomain(X_156)) != addition(multiplication(X_155,coantidomain(X_156)),multiplication(X_156,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),coantidomain(X_156)) = addition(multiplication(X_155,coantidomain(X_156)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_156,coantidomain(X_156)),zero) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiplication(addition(X_155,X_156),coantidomain(X_156)) = addition(multiplication(X_155,coantidomain(X_156)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),coantidomain(X_156)),addition(multiplication(X_155,coantidomain(X_156)),multiplication(X_156,coantidomain(X_156)))) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
addition(multiplication(X_155,coantidomain(X_156)),zero) = multiplication(X_155,coantidomain(X_156)),
inference(subst,[],[refute_0_7:[bind(A,$fot(multiplication(X_155,coantidomain(X_156))))]]) ).
cnf(refute_0_431,plain,
( addition(multiplication(X_155,coantidomain(X_156)),zero) != multiplication(X_155,coantidomain(X_156))
| multiplication(addition(X_155,X_156),coantidomain(X_156)) != addition(multiplication(X_155,coantidomain(X_156)),zero)
| multiplication(addition(X_155,X_156),coantidomain(X_156)) = multiplication(X_155,coantidomain(X_156)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,X_156),coantidomain(X_156)),addition(multiplication(X_155,coantidomain(X_156)),zero)) ),[1],$fot(multiplication(X_155,coantidomain(X_156)))]]) ).
cnf(refute_0_432,plain,
( multiplication(addition(X_155,X_156),coantidomain(X_156)) != addition(multiplication(X_155,coantidomain(X_156)),zero)
| multiplication(addition(X_155,X_156),coantidomain(X_156)) = multiplication(X_155,coantidomain(X_156)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_155,coantidomain(X_156)),zero),multiplication(X_155,coantidomain(X_156))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
multiplication(addition(X_155,X_156),coantidomain(X_156)) = multiplication(X_155,coantidomain(X_156)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),coantidomain(X_156)),addition(multiplication(X_155,coantidomain(X_156)),zero)) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) = multiplication(X_155,coantidomain(addition(X_155,X_344))),
inference(subst,[],[refute_0_433:[bind(X_156,$fot(addition(X_155,X_344)))]]) ).
cnf(refute_0_435,plain,
multiplication(addition(X_155,addition(X_155,X_327)),coantidomain(addition(X_155,X_327))) = multiplication(X_155,coantidomain(addition(X_155,X_327))),
inference(subst,[],[refute_0_433:[bind(X_156,$fot(addition(X_155,X_327)))]]) ).
cnf(refute_0_436,plain,
addition(X_155,addition(X_155,X_327)) = addition(X_155,X_327),
inference(subst,[],[refute_0_78:[bind(X_222,$fot(X_155)),bind(X_223,$fot(X_327))]]) ).
cnf(refute_0_437,plain,
( addition(X_155,addition(X_155,X_327)) != addition(X_155,X_327)
| multiplication(addition(X_155,addition(X_155,X_327)),coantidomain(addition(X_155,X_327))) != multiplication(X_155,coantidomain(addition(X_155,X_327)))
| multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))) = multiplication(X_155,coantidomain(addition(X_155,X_327))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,addition(X_155,X_327)),coantidomain(addition(X_155,X_327))),multiplication(X_155,coantidomain(addition(X_155,X_327)))) ),[0,0],$fot(addition(X_155,X_327))]]) ).
cnf(refute_0_438,plain,
( multiplication(addition(X_155,addition(X_155,X_327)),coantidomain(addition(X_155,X_327))) != multiplication(X_155,coantidomain(addition(X_155,X_327)))
| multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))) = multiplication(X_155,coantidomain(addition(X_155,X_327))) ),
inference(resolve,[$cnf( $equal(addition(X_155,addition(X_155,X_327)),addition(X_155,X_327)) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))) = multiplication(X_155,coantidomain(addition(X_155,X_327))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,addition(X_155,X_327)),coantidomain(addition(X_155,X_327))),multiplication(X_155,coantidomain(addition(X_155,X_327)))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))) = zero,
inference(subst,[],[refute_0_2:[bind(X0,$fot(addition(X_155,X_327)))]]) ).
cnf(refute_0_441,plain,
( multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))) != multiplication(X_155,coantidomain(addition(X_155,X_327)))
| multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))) != zero
| zero = multiplication(X_155,coantidomain(addition(X_155,X_327))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))),multiplication(X_155,coantidomain(addition(X_155,X_327)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_442,plain,
( multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))) != multiplication(X_155,coantidomain(addition(X_155,X_327)))
| zero = multiplication(X_155,coantidomain(addition(X_155,X_327))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))),zero) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
zero = multiplication(X_155,coantidomain(addition(X_155,X_327))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_327),coantidomain(addition(X_155,X_327))),multiplication(X_155,coantidomain(addition(X_155,X_327)))) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
zero = multiplication(X_155,coantidomain(addition(X_155,X_344))),
inference(subst,[],[refute_0_443:[bind(X_327,$fot(X_344))]]) ).
cnf(refute_0_445,plain,
( zero != multiplication(X_155,coantidomain(addition(X_155,X_344)))
| multiplication(X_155,coantidomain(addition(X_155,X_344))) = zero ),
inference(subst,[],[refute_0_40:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(X_155,coantidomain(addition(X_155,X_344)))))]]) ).
cnf(refute_0_446,plain,
multiplication(X_155,coantidomain(addition(X_155,X_344))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(X_155,coantidomain(addition(X_155,X_344)))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
( multiplication(X_155,coantidomain(addition(X_155,X_344))) != zero
| multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) != multiplication(X_155,coantidomain(addition(X_155,X_344)))
| multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))),multiplication(X_155,coantidomain(addition(X_155,X_344)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_448,plain,
( multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) != multiplication(X_155,coantidomain(addition(X_155,X_344)))
| multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(X_155,coantidomain(addition(X_155,X_344))),zero) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) = zero,
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))),multiplication(X_155,coantidomain(addition(X_155,X_344)))) )],[refute_0_434,refute_0_448]) ).
cnf(refute_0_450,plain,
multiplication(addition(A,B),coantidomain(addition(A,X_344))) = addition(multiplication(A,coantidomain(addition(A,X_344))),multiplication(B,coantidomain(addition(A,X_344)))),
inference(subst,[],[refute_0_18:[bind(C,$fot(coantidomain(addition(A,X_344))))]]) ).
cnf(refute_0_451,plain,
zero = multiplication(A,coantidomain(addition(A,X_344))),
inference(subst,[],[refute_0_443:[bind(X_155,$fot(A)),bind(X_327,$fot(X_344))]]) ).
cnf(refute_0_452,plain,
( zero != multiplication(A,coantidomain(addition(A,X_344)))
| multiplication(A,coantidomain(addition(A,X_344))) = zero ),
inference(subst,[],[refute_0_40:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(A,coantidomain(addition(A,X_344)))))]]) ).
cnf(refute_0_453,plain,
multiplication(A,coantidomain(addition(A,X_344))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(A,coantidomain(addition(A,X_344)))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
( multiplication(A,coantidomain(addition(A,X_344))) != zero
| multiplication(addition(A,B),coantidomain(addition(A,X_344))) != addition(multiplication(A,coantidomain(addition(A,X_344))),multiplication(B,coantidomain(addition(A,X_344))))
| multiplication(addition(A,B),coantidomain(addition(A,X_344))) = addition(zero,multiplication(B,coantidomain(addition(A,X_344)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,B),coantidomain(addition(A,X_344))),addition(multiplication(A,coantidomain(addition(A,X_344))),multiplication(B,coantidomain(addition(A,X_344))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_455,plain,
( multiplication(addition(A,B),coantidomain(addition(A,X_344))) != addition(multiplication(A,coantidomain(addition(A,X_344))),multiplication(B,coantidomain(addition(A,X_344))))
| multiplication(addition(A,B),coantidomain(addition(A,X_344))) = addition(zero,multiplication(B,coantidomain(addition(A,X_344)))) ),
inference(resolve,[$cnf( $equal(multiplication(A,coantidomain(addition(A,X_344))),zero) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiplication(addition(A,B),coantidomain(addition(A,X_344))) = addition(zero,multiplication(B,coantidomain(addition(A,X_344)))),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),coantidomain(addition(A,X_344))),addition(multiplication(A,coantidomain(addition(A,X_344))),multiplication(B,coantidomain(addition(A,X_344))))) )],[refute_0_450,refute_0_455]) ).
cnf(refute_0_457,plain,
addition(zero,multiplication(B,coantidomain(addition(A,X_344)))) = multiplication(B,coantidomain(addition(A,X_344))),
inference(subst,[],[refute_0_12:[bind(A,$fot(multiplication(B,coantidomain(addition(A,X_344)))))]]) ).
cnf(refute_0_458,plain,
( addition(zero,multiplication(B,coantidomain(addition(A,X_344)))) != multiplication(B,coantidomain(addition(A,X_344)))
| multiplication(addition(A,B),coantidomain(addition(A,X_344))) != addition(zero,multiplication(B,coantidomain(addition(A,X_344))))
| multiplication(addition(A,B),coantidomain(addition(A,X_344))) = multiplication(B,coantidomain(addition(A,X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,B),coantidomain(addition(A,X_344))),addition(zero,multiplication(B,coantidomain(addition(A,X_344))))) ),[1],$fot(multiplication(B,coantidomain(addition(A,X_344))))]]) ).
cnf(refute_0_459,plain,
( multiplication(addition(A,B),coantidomain(addition(A,X_344))) != addition(zero,multiplication(B,coantidomain(addition(A,X_344))))
| multiplication(addition(A,B),coantidomain(addition(A,X_344))) = multiplication(B,coantidomain(addition(A,X_344))) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(B,coantidomain(addition(A,X_344)))),multiplication(B,coantidomain(addition(A,X_344)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiplication(addition(A,B),coantidomain(addition(A,X_344))) = multiplication(B,coantidomain(addition(A,X_344))),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),coantidomain(addition(A,X_344))),addition(zero,multiplication(B,coantidomain(addition(A,X_344))))) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
multiplication(addition(X_155,X_344),coantidomain(addition(X_155,X_344))) = multiplication(X_344,coantidomain(addition(X_155,X_344))),
inference(subst,[],[refute_0_460:[bind(A,$fot(X_155)),bind(B,$fot(X_344))]]) ).
cnf(refute_0_462,plain,
multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) = multiplication(addition(X_155,X_344),coantidomain(addition(X_155,X_344))),
inference(subst,[],[refute_0_460:[bind(A,$fot(X_155)),bind(B,$fot(addition(X_155,X_344)))]]) ).
cnf(refute_0_463,plain,
( multiplication(addition(X_155,X_344),coantidomain(addition(X_155,X_344))) != multiplication(X_344,coantidomain(addition(X_155,X_344)))
| multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) != multiplication(addition(X_155,X_344),coantidomain(addition(X_155,X_344)))
| multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) = multiplication(X_344,coantidomain(addition(X_155,X_344))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))))),bind(Y,$fot(multiplication(addition(X_155,X_344),coantidomain(addition(X_155,X_344))))),bind(Z,$fot(multiplication(X_344,coantidomain(addition(X_155,X_344)))))]]) ).
cnf(refute_0_464,plain,
( multiplication(addition(X_155,X_344),coantidomain(addition(X_155,X_344))) != multiplication(X_344,coantidomain(addition(X_155,X_344)))
| multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) = multiplication(X_344,coantidomain(addition(X_155,X_344))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))),multiplication(addition(X_155,X_344),coantidomain(addition(X_155,X_344)))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) = multiplication(X_344,coantidomain(addition(X_155,X_344))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_344),coantidomain(addition(X_155,X_344))),multiplication(X_344,coantidomain(addition(X_155,X_344)))) )],[refute_0_461,refute_0_464]) ).
cnf(refute_0_466,plain,
( multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) != multiplication(X_344,coantidomain(addition(X_155,X_344)))
| multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) != zero
| multiplication(X_344,coantidomain(addition(X_155,X_344))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))),zero) ),[0],$fot(multiplication(X_344,coantidomain(addition(X_155,X_344))))]]) ).
cnf(refute_0_467,plain,
( multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))) != zero
| multiplication(X_344,coantidomain(addition(X_155,X_344))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))),multiplication(X_344,coantidomain(addition(X_155,X_344)))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiplication(X_344,coantidomain(addition(X_155,X_344))) = zero,
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,addition(X_155,X_344)),coantidomain(addition(X_155,X_344))),zero) )],[refute_0_449,refute_0_467]) ).
cnf(refute_0_469,plain,
multiplication(X_999,coantidomain(addition(X_155,X_999))) = zero,
inference(subst,[],[refute_0_468:[bind(X_344,$fot(X_999))]]) ).
cnf(refute_0_470,plain,
( addition(antidomain(multiplication(X_999,coantidomain(addition(X_155,X_999)))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))
| multiplication(X_999,coantidomain(addition(X_155,X_999))) != zero
| addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_999,coantidomain(addition(X_155,X_999)))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_471,plain,
( addition(antidomain(multiplication(X_999,coantidomain(addition(X_155,X_999)))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))
| addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))) ),
inference(resolve,[$cnf( $equal(multiplication(X_999,coantidomain(addition(X_155,X_999))),zero) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_999,coantidomain(addition(X_155,X_999)))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) )],[refute_0_424,refute_0_471]) ).
cnf(refute_0_473,plain,
addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = one,
inference(subst,[],[refute_0_104:[bind(X0,$fot(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))))]]) ).
cnf(refute_0_474,plain,
addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))))]]) ).
cnf(refute_0_475,plain,
( addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_476,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_402,refute_0_476]) ).
cnf(refute_0_478,plain,
( addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))))
| addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != one
| addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = one ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))))),bind(Y,$fot(addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_479,plain,
( addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != one
| addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) = one,
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),one) )],[refute_0_473,refute_0_479]) ).
cnf(refute_0_481,plain,
( addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))
| addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != one
| one = antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_482,plain,
( addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) != antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))
| one = antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),one) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
one = antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999))))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))),antidomain(multiplication(X_999,domain(coantidomain(addition(X_155,X_999)))))) )],[refute_0_472,refute_0_482]) ).
cnf(refute_0_484,plain,
one = antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),
inference(subst,[],[refute_0_483:[bind(X_155,$fot(X_1040)),bind(X_999,$fot(X_1041))]]) ).
cnf(refute_0_485,plain,
( one != antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))
| antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))) = one ),
inference(subst,[],[refute_0_40:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))))]]) ).
cnf(refute_0_486,plain,
antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))) != one
| multiplication(antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) != zero
| multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_488,plain,
( multiplication(antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) != zero
| multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),one) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))),zero) )],[refute_0_423,refute_0_488]) ).
cnf(refute_0_490,plain,
( forward_diamond(X0,X1) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_diamond(X0,X1))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_491,plain,
domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(resolve,[$cnf( $equal(forward_diamond(X0,X1),domain(multiplication(X0,domain(X1)))) )],[refute_0_130,refute_0_490]) ).
cnf(refute_0_492,plain,
domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))) = forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041))),
inference(subst,[],[refute_0_491:[bind(X0,$fot(X_1041)),bind(X1,$fot(coantidomain(addition(X_1040,X_1041))))]]) ).
cnf(refute_0_493,plain,
multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) = domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),
inference(subst,[],[refute_0_20:[bind(A,$fot(domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))))]]) ).
cnf(refute_0_494,plain,
( domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))) != forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041)))
| multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) != domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))
| multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) = forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))))),bind(Y,$fot(domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))))),bind(Z,$fot(forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041)))))]]) ).
cnf(refute_0_495,plain,
( domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))) != forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041)))
| multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) = forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041))) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))),domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) = forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041))),
inference(resolve,[$cnf( $equal(domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041))))),forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041)))) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
( multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) != forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041)))
| multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) != zero
| forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))),zero) ),[0],$fot(forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041))))]]) ).
cnf(refute_0_498,plain,
( multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))) != zero
| forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))),forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041)))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
forward_diamond(X_1041,coantidomain(addition(X_1040,X_1041))) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,domain(multiplication(X_1041,domain(coantidomain(addition(X_1040,X_1041)))))),zero) )],[refute_0_489,refute_0_498]) ).
cnf(refute_0_500,plain,
forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(addition(coantidomain(backward_diamond(X_1262,X_1261)),coantidomain(multiplication(X_1261,X_1262))))) = zero,
inference(subst,[],[refute_0_499:[bind(X_1040,$fot(coantidomain(backward_diamond(X_1262,X_1261)))),bind(X_1041,$fot(coantidomain(multiplication(X_1261,X_1262))))]]) ).
cnf(refute_0_501,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_502,plain,
multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(coantidomain(coantidomain(X0)),X1),
introduced(tautology,[refl,[$fot(multiplication(coantidomain(coantidomain(X0)),X1))]]) ).
cnf(refute_0_503,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_504,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(coantidomain(coantidomain(X0)),X1)) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_49,refute_0_504]) ).
cnf(refute_0_506,plain,
coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
introduced(tautology,[refl,[$fot(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))]]) ).
cnf(refute_0_507,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_508,plain,
( multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(codomain(X0),X1)
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(codomain(X0),X1)) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
introduced(tautology,[refl,[$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))))]]) ).
cnf(refute_0_511,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_512,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( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_509,refute_0_512]) ).
cnf(refute_0_514,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ),
introduced(tautology,[equality,[$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_515,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( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
introduced(tautology,[equality,[$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_517,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( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_509,refute_0_516]) ).
cnf(refute_0_518,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_515,refute_0_517]) ).
cnf(refute_0_519,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_501,refute_0_518]) ).
cnf(refute_0_520,plain,
multiplication(X_238,addition(X_239,one)) = addition(multiplication(X_238,X_239),multiplication(X_238,one)),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_238)),bind(B,$fot(X_239)),bind(C,$fot(one))]]) ).
cnf(refute_0_521,plain,
multiplication(X_238,one) = X_238,
inference(subst,[],[refute_0_60:[bind(A,$fot(X_238))]]) ).
cnf(refute_0_522,plain,
( multiplication(X_238,addition(X_239,one)) != addition(multiplication(X_238,X_239),multiplication(X_238,one))
| multiplication(X_238,one) != X_238
| multiplication(X_238,addition(X_239,one)) = addition(multiplication(X_238,X_239),X_238) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,addition(X_239,one)),addition(multiplication(X_238,X_239),multiplication(X_238,one))) ),[1,1],$fot(X_238)]]) ).
cnf(refute_0_523,plain,
( multiplication(X_238,addition(X_239,one)) != addition(multiplication(X_238,X_239),multiplication(X_238,one))
| multiplication(X_238,addition(X_239,one)) = addition(multiplication(X_238,X_239),X_238) ),
inference(resolve,[$cnf( $equal(multiplication(X_238,one),X_238) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
multiplication(X_238,addition(X_239,one)) = addition(multiplication(X_238,X_239),X_238),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(X_239,one)),addition(multiplication(X_238,X_239),multiplication(X_238,one))) )],[refute_0_520,refute_0_523]) ).
cnf(refute_0_525,plain,
addition(multiplication(X_238,X_239),X_238) = addition(X_238,multiplication(X_238,X_239)),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_238)),bind(B,$fot(multiplication(X_238,X_239)))]]) ).
cnf(refute_0_526,plain,
( addition(multiplication(X_238,X_239),X_238) != addition(X_238,multiplication(X_238,X_239))
| multiplication(X_238,addition(X_239,one)) != addition(multiplication(X_238,X_239),X_238)
| multiplication(X_238,addition(X_239,one)) = addition(X_238,multiplication(X_238,X_239)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,addition(X_239,one)),addition(multiplication(X_238,X_239),X_238)) ),[1],$fot(addition(X_238,multiplication(X_238,X_239)))]]) ).
cnf(refute_0_527,plain,
( multiplication(X_238,addition(X_239,one)) != addition(multiplication(X_238,X_239),X_238)
| multiplication(X_238,addition(X_239,one)) = addition(X_238,multiplication(X_238,X_239)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_238,X_239),X_238),addition(X_238,multiplication(X_238,X_239))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
multiplication(X_238,addition(X_239,one)) = addition(X_238,multiplication(X_238,X_239)),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(X_239,one)),addition(multiplication(X_238,X_239),X_238)) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) = addition(addition(X_155,X_156),multiplication(addition(X_155,X_156),coantidomain(X_156))),
inference(subst,[],[refute_0_528:[bind(X_238,$fot(addition(X_155,X_156))),bind(X_239,$fot(coantidomain(X_156)))]]) ).
cnf(refute_0_530,plain,
( multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) != addition(addition(X_155,X_156),multiplication(addition(X_155,X_156),coantidomain(X_156)))
| multiplication(addition(X_155,X_156),coantidomain(X_156)) != multiplication(X_155,coantidomain(X_156))
| multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) = addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)),addition(addition(X_155,X_156),multiplication(addition(X_155,X_156),coantidomain(X_156)))) ),[1,1],$fot(multiplication(X_155,coantidomain(X_156)))]]) ).
cnf(refute_0_531,plain,
( multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) != addition(addition(X_155,X_156),multiplication(addition(X_155,X_156),coantidomain(X_156)))
| multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) = addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),coantidomain(X_156)),multiplication(X_155,coantidomain(X_156))) )],[refute_0_433,refute_0_530]) ).
cnf(refute_0_532,plain,
multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) = addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)),addition(addition(X_155,X_156),multiplication(addition(X_155,X_156),coantidomain(X_156)))) )],[refute_0_529,refute_0_531]) ).
cnf(refute_0_533,plain,
addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) = addition(multiplication(X_238,X_239),multiplication(X_238,X_240)),
inference(subst,[],[refute_0_8:[bind(A,$fot(multiplication(X_238,X_240))),bind(B,$fot(multiplication(X_238,X_239)))]]) ).
cnf(refute_0_534,plain,
multiplication(X_238,addition(X_239,X_240)) = addition(multiplication(X_238,X_239),multiplication(X_238,X_240)),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_238)),bind(B,$fot(X_239)),bind(C,$fot(X_240))]]) ).
cnf(refute_0_535,plain,
( multiplication(X_238,addition(X_239,X_240)) != addition(multiplication(X_238,X_239),multiplication(X_238,X_240))
| addition(multiplication(X_238,X_239),multiplication(X_238,X_240)) = multiplication(X_238,addition(X_239,X_240)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(multiplication(X_238,addition(X_239,X_240)))),bind(Y,$fot(addition(multiplication(X_238,X_239),multiplication(X_238,X_240))))]]) ).
cnf(refute_0_536,plain,
addition(multiplication(X_238,X_239),multiplication(X_238,X_240)) = multiplication(X_238,addition(X_239,X_240)),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(X_239,X_240)),addition(multiplication(X_238,X_239),multiplication(X_238,X_240))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
( addition(multiplication(X_238,X_239),multiplication(X_238,X_240)) != multiplication(X_238,addition(X_239,X_240))
| addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) != addition(multiplication(X_238,X_239),multiplication(X_238,X_240))
| addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) = multiplication(X_238,addition(X_239,X_240)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_238,X_240),multiplication(X_238,X_239)),addition(multiplication(X_238,X_239),multiplication(X_238,X_240))) ),[1],$fot(multiplication(X_238,addition(X_239,X_240)))]]) ).
cnf(refute_0_538,plain,
( addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) != addition(multiplication(X_238,X_239),multiplication(X_238,X_240))
| addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) = multiplication(X_238,addition(X_239,X_240)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_238,X_239),multiplication(X_238,X_240)),multiplication(X_238,addition(X_239,X_240))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) = multiplication(X_238,addition(X_239,X_240)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_238,X_240),multiplication(X_238,X_239)),addition(multiplication(X_238,X_239),multiplication(X_238,X_240))) )],[refute_0_533,refute_0_538]) ).
cnf(refute_0_540,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_541,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[refute_0_0,refute_0_540]) ).
cnf(refute_0_542,plain,
addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) = multiplication(X_238,addition(X_240,X_239)),
inference(subst,[],[refute_0_541:[bind(A,$fot(X_238)),bind(B,$fot(X_240)),bind(C,$fot(X_239))]]) ).
cnf(refute_0_543,plain,
( addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) != multiplication(X_238,addition(X_239,X_240))
| addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) != multiplication(X_238,addition(X_240,X_239))
| multiplication(X_238,addition(X_240,X_239)) = multiplication(X_238,addition(X_239,X_240)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_238,X_240),multiplication(X_238,X_239)),multiplication(X_238,addition(X_239,X_240))) ),[0],$fot(multiplication(X_238,addition(X_240,X_239)))]]) ).
cnf(refute_0_544,plain,
( addition(multiplication(X_238,X_240),multiplication(X_238,X_239)) != multiplication(X_238,addition(X_239,X_240))
| multiplication(X_238,addition(X_240,X_239)) = multiplication(X_238,addition(X_239,X_240)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_238,X_240),multiplication(X_238,X_239)),multiplication(X_238,addition(X_240,X_239))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
multiplication(X_238,addition(X_240,X_239)) = multiplication(X_238,addition(X_239,X_240)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_238,X_240),multiplication(X_238,X_239)),multiplication(X_238,addition(X_239,X_240))) )],[refute_0_539,refute_0_544]) ).
cnf(refute_0_546,plain,
( multiplication(X_238,addition(X_240,X_239)) != multiplication(X_238,addition(X_239,X_240))
| multiplication(X_238,addition(X_239,X_240)) = multiplication(X_238,addition(X_240,X_239)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(multiplication(X_238,addition(X_240,X_239)))),bind(Y,$fot(multiplication(X_238,addition(X_239,X_240))))]]) ).
cnf(refute_0_547,plain,
multiplication(X_238,addition(X_239,X_240)) = multiplication(X_238,addition(X_240,X_239)),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(X_240,X_239)),multiplication(X_238,addition(X_239,X_240))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) = multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),
inference(subst,[],[refute_0_547:[bind(X_238,$fot(addition(X_155,X_156))),bind(X_239,$fot(coantidomain(X_156))),bind(X_240,$fot(one))]]) ).
cnf(refute_0_549,plain,
( multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) != addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) != multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)),addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))) ),[0],$fot(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))))]]) ).
cnf(refute_0_550,plain,
( multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) != addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)),multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156)))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_552,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_72,refute_0_551]) ).
cnf(refute_0_553,plain,
addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156))) = addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))),
inference(subst,[],[refute_0_552:[bind(A,$fot(X_155)),bind(B,$fot(X_156)),bind(C,$fot(multiplication(X_155,coantidomain(X_156))))]]) ).
cnf(refute_0_554,plain,
( addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156))) != addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) != addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))) ),[1],$fot(addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))))]]) ).
cnf(refute_0_555,plain,
( multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) != addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156))),addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
( multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)) != addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))) )],[refute_0_550,refute_0_555]) ).
cnf(refute_0_557,plain,
multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(coantidomain(X_156),one)),addition(addition(X_155,X_156),multiplication(X_155,coantidomain(X_156)))) )],[refute_0_532,refute_0_556]) ).
cnf(refute_0_558,plain,
multiplication(addition(X_155,X_156),one) = addition(X_155,X_156),
inference(subst,[],[refute_0_60:[bind(A,$fot(addition(X_155,X_156)))]]) ).
cnf(refute_0_559,plain,
addition(coantidomain(X0),addition(coantidomain(X0),codomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(subst,[],[refute_0_78:[bind(X_222,$fot(coantidomain(X0))),bind(X_223,$fot(codomain(X0)))]]) ).
cnf(refute_0_560,plain,
( addition(coantidomain(X0),addition(coantidomain(X0),codomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),codomain(X0)) != one
| addition(coantidomain(X0),one) = addition(coantidomain(X0),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),addition(coantidomain(X0),codomain(X0))),addition(coantidomain(X0),codomain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_561,plain,
( addition(coantidomain(X0),addition(coantidomain(X0),codomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),one) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_56,refute_0_560]) ).
cnf(refute_0_562,plain,
addition(coantidomain(X0),one) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(coantidomain(X0),codomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_559,refute_0_561]) ).
cnf(refute_0_563,plain,
addition(coantidomain(X0),one) = addition(one,coantidomain(X0)),
inference(subst,[],[refute_0_42:[bind(A,$fot(one)),bind(B,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_564,plain,
( addition(coantidomain(X0),one) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),one) != addition(one,coantidomain(X0))
| addition(one,coantidomain(X0)) = addition(coantidomain(X0),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),one),addition(coantidomain(X0),codomain(X0))) ),[0],$fot(addition(one,coantidomain(X0)))]]) ).
cnf(refute_0_565,plain,
( addition(coantidomain(X0),one) != addition(coantidomain(X0),codomain(X0))
| addition(one,coantidomain(X0)) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),one),addition(one,coantidomain(X0))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
( addition(coantidomain(X0),codomain(X0)) != one
| addition(one,coantidomain(X0)) != addition(coantidomain(X0),codomain(X0))
| addition(one,coantidomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,coantidomain(X0)),addition(coantidomain(X0),codomain(X0))) ),[1],$fot(one)]]) ).
cnf(refute_0_567,plain,
( addition(one,coantidomain(X0)) != addition(coantidomain(X0),codomain(X0))
| addition(one,coantidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_56,refute_0_566]) ).
cnf(refute_0_568,plain,
( addition(coantidomain(X0),one) != addition(coantidomain(X0),codomain(X0))
| addition(one,coantidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X0)),addition(coantidomain(X0),codomain(X0))) )],[refute_0_565,refute_0_567]) ).
cnf(refute_0_569,plain,
addition(one,coantidomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),one),addition(coantidomain(X0),codomain(X0))) )],[refute_0_562,refute_0_568]) ).
cnf(refute_0_570,plain,
addition(one,coantidomain(X_156)) = one,
inference(subst,[],[refute_0_569:[bind(X0,$fot(X_156))]]) ).
cnf(refute_0_571,plain,
multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),
introduced(tautology,[refl,[$fot(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))))]]) ).
cnf(refute_0_572,plain,
( addition(one,coantidomain(X_156)) != one
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) != multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156)))
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = multiplication(addition(X_155,X_156),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_573,plain,
( addition(one,coantidomain(X_156)) != one
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = multiplication(addition(X_155,X_156),one) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156)))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = multiplication(addition(X_155,X_156),one),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_156)),one) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
( multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) != multiplication(addition(X_155,X_156),one)
| multiplication(addition(X_155,X_156),one) != addition(X_155,X_156)
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(X_155,X_156) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))))),bind(Y,$fot(multiplication(addition(X_155,X_156),one))),bind(Z,$fot(addition(X_155,X_156)))]]) ).
cnf(refute_0_576,plain,
( multiplication(addition(X_155,X_156),one) != addition(X_155,X_156)
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(X_155,X_156) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),multiplication(addition(X_155,X_156),one)) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) = addition(X_155,X_156),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),one),addition(X_155,X_156)) )],[refute_0_558,refute_0_576]) ).
cnf(refute_0_578,plain,
( multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) != addition(X_155,X_156)
| multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) != addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))
| addition(X_155,X_156) = addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))) ),[0],$fot(addition(X_155,X_156))]]) ).
cnf(refute_0_579,plain,
( multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))) != addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))
| addition(X_155,X_156) = addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),addition(X_155,X_156)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
addition(X_155,X_156) = addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_155,X_156),addition(one,coantidomain(X_156))),addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))) )],[refute_0_557,refute_0_579]) ).
cnf(refute_0_581,plain,
addition(A,addition(X_221,X_222)) = addition(addition(X_221,X_222),A),
inference(subst,[],[refute_0_8:[bind(B,$fot(addition(X_221,X_222)))]]) ).
cnf(refute_0_582,plain,
addition(X_221,addition(X_222,A)) = addition(addition(X_221,X_222),A),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_221)),bind(B,$fot(X_222)),bind(C,$fot(A))]]) ).
cnf(refute_0_583,plain,
( addition(X_221,addition(X_222,A)) != addition(addition(X_221,X_222),A)
| addition(addition(X_221,X_222),A) = addition(X_221,addition(X_222,A)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(addition(X_221,addition(X_222,A)))),bind(Y,$fot(addition(addition(X_221,X_222),A)))]]) ).
cnf(refute_0_584,plain,
addition(addition(X_221,X_222),A) = addition(X_221,addition(X_222,A)),
inference(resolve,[$cnf( $equal(addition(X_221,addition(X_222,A)),addition(addition(X_221,X_222),A)) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
( addition(A,addition(X_221,X_222)) != addition(addition(X_221,X_222),A)
| addition(addition(X_221,X_222),A) != addition(X_221,addition(X_222,A))
| addition(A,addition(X_221,X_222)) = addition(X_221,addition(X_222,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_221,X_222)),addition(X_221,addition(X_222,A))) ),[0],$fot(addition(addition(X_221,X_222),A))]]) ).
cnf(refute_0_586,plain,
( addition(A,addition(X_221,X_222)) != addition(addition(X_221,X_222),A)
| addition(A,addition(X_221,X_222)) = addition(X_221,addition(X_222,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_221,X_222),A),addition(X_221,addition(X_222,A))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
addition(A,addition(X_221,X_222)) = addition(X_221,addition(X_222,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_221,X_222)),addition(addition(X_221,X_222),A)) )],[refute_0_581,refute_0_586]) ).
cnf(refute_0_588,plain,
addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) = addition(X_474,addition(X_475,multiplication(X_475,coantidomain(X_328)))),
inference(subst,[],[refute_0_587:[bind(A,$fot(multiplication(X_475,coantidomain(X_328)))),bind(X_221,$fot(X_474)),bind(X_222,$fot(X_475))]]) ).
cnf(refute_0_589,plain,
multiplication(X_238,addition(one,X_240)) = addition(multiplication(X_238,one),multiplication(X_238,X_240)),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_238)),bind(B,$fot(one)),bind(C,$fot(X_240))]]) ).
cnf(refute_0_590,plain,
( multiplication(X_238,addition(one,X_240)) != addition(multiplication(X_238,one),multiplication(X_238,X_240))
| multiplication(X_238,one) != X_238
| multiplication(X_238,addition(one,X_240)) = addition(X_238,multiplication(X_238,X_240)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,addition(one,X_240)),addition(multiplication(X_238,one),multiplication(X_238,X_240))) ),[1,0],$fot(X_238)]]) ).
cnf(refute_0_591,plain,
( multiplication(X_238,addition(one,X_240)) != addition(multiplication(X_238,one),multiplication(X_238,X_240))
| multiplication(X_238,addition(one,X_240)) = addition(X_238,multiplication(X_238,X_240)) ),
inference(resolve,[$cnf( $equal(multiplication(X_238,one),X_238) )],[refute_0_521,refute_0_590]) ).
cnf(refute_0_592,plain,
multiplication(X_238,addition(one,X_240)) = addition(X_238,multiplication(X_238,X_240)),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(one,X_240)),addition(multiplication(X_238,one),multiplication(X_238,X_240))) )],[refute_0_589,refute_0_591]) ).
cnf(refute_0_593,plain,
multiplication(X_238,addition(one,coantidomain(X_328))) = addition(X_238,multiplication(X_238,coantidomain(X_328))),
inference(subst,[],[refute_0_592:[bind(X_240,$fot(coantidomain(X_328)))]]) ).
cnf(refute_0_594,plain,
addition(one,coantidomain(X_328)) = one,
inference(subst,[],[refute_0_569:[bind(X0,$fot(X_328))]]) ).
cnf(refute_0_595,plain,
( addition(one,coantidomain(X_328)) != one
| multiplication(X_238,addition(one,coantidomain(X_328))) != addition(X_238,multiplication(X_238,coantidomain(X_328)))
| multiplication(X_238,one) = addition(X_238,multiplication(X_238,coantidomain(X_328))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,addition(one,coantidomain(X_328))),addition(X_238,multiplication(X_238,coantidomain(X_328)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_596,plain,
( multiplication(X_238,addition(one,coantidomain(X_328))) != addition(X_238,multiplication(X_238,coantidomain(X_328)))
| multiplication(X_238,one) = addition(X_238,multiplication(X_238,coantidomain(X_328))) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_328)),one) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiplication(X_238,one) = addition(X_238,multiplication(X_238,coantidomain(X_328))),
inference(resolve,[$cnf( $equal(multiplication(X_238,addition(one,coantidomain(X_328))),addition(X_238,multiplication(X_238,coantidomain(X_328)))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
( multiplication(X_238,one) != X_238
| multiplication(X_238,one) != addition(X_238,multiplication(X_238,coantidomain(X_328)))
| X_238 = addition(X_238,multiplication(X_238,coantidomain(X_328))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_238,one),addition(X_238,multiplication(X_238,coantidomain(X_328)))) ),[0],$fot(X_238)]]) ).
cnf(refute_0_599,plain,
( multiplication(X_238,one) != addition(X_238,multiplication(X_238,coantidomain(X_328)))
| X_238 = addition(X_238,multiplication(X_238,coantidomain(X_328))) ),
inference(resolve,[$cnf( $equal(multiplication(X_238,one),X_238) )],[refute_0_521,refute_0_598]) ).
cnf(refute_0_600,plain,
X_238 = addition(X_238,multiplication(X_238,coantidomain(X_328))),
inference(resolve,[$cnf( $equal(multiplication(X_238,one),addition(X_238,multiplication(X_238,coantidomain(X_328)))) )],[refute_0_597,refute_0_599]) ).
cnf(refute_0_601,plain,
X_475 = addition(X_475,multiplication(X_475,coantidomain(X_328))),
inference(subst,[],[refute_0_600:[bind(X_238,$fot(X_475))]]) ).
cnf(refute_0_602,plain,
( X_475 != addition(X_475,multiplication(X_475,coantidomain(X_328)))
| addition(X_475,multiplication(X_475,coantidomain(X_328))) = X_475 ),
inference(subst,[],[refute_0_40:[bind(X,$fot(X_475)),bind(Y,$fot(addition(X_475,multiplication(X_475,coantidomain(X_328)))))]]) ).
cnf(refute_0_603,plain,
addition(X_475,multiplication(X_475,coantidomain(X_328))) = X_475,
inference(resolve,[$cnf( $equal(X_475,addition(X_475,multiplication(X_475,coantidomain(X_328)))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
( addition(X_475,multiplication(X_475,coantidomain(X_328))) != X_475
| addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) != addition(X_474,addition(X_475,multiplication(X_475,coantidomain(X_328))))
| addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) = addition(X_474,X_475) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)),addition(X_474,addition(X_475,multiplication(X_475,coantidomain(X_328))))) ),[1,1],$fot(X_475)]]) ).
cnf(refute_0_605,plain,
( addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) != addition(X_474,addition(X_475,multiplication(X_475,coantidomain(X_328))))
| addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) = addition(X_474,X_475) ),
inference(resolve,[$cnf( $equal(addition(X_475,multiplication(X_475,coantidomain(X_328))),X_475) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) = addition(X_474,X_475),
inference(resolve,[$cnf( $equal(addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)),addition(X_474,addition(X_475,multiplication(X_475,coantidomain(X_328))))) )],[refute_0_588,refute_0_605]) ).
cnf(refute_0_607,plain,
addition(X_473,addition(X_474,X_475)) = addition(X_474,addition(X_475,X_473)),
inference(subst,[],[refute_0_587:[bind(A,$fot(X_473)),bind(X_221,$fot(X_474)),bind(X_222,$fot(X_475))]]) ).
cnf(refute_0_608,plain,
addition(X_475,X_474) = addition(X_474,X_475),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_475)),bind(B,$fot(X_474))]]) ).
cnf(refute_0_609,plain,
( addition(X_475,X_474) != addition(X_474,X_475)
| addition(X_474,X_475) = addition(X_475,X_474) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(addition(X_475,X_474))),bind(Y,$fot(addition(X_474,X_475)))]]) ).
cnf(refute_0_610,plain,
addition(X_474,X_475) = addition(X_475,X_474),
inference(resolve,[$cnf( $equal(addition(X_475,X_474),addition(X_474,X_475)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
( addition(X_473,addition(X_474,X_475)) != addition(X_474,addition(X_475,X_473))
| addition(X_474,X_475) != addition(X_475,X_474)
| addition(X_473,addition(X_475,X_474)) = addition(X_474,addition(X_475,X_473)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_473,addition(X_474,X_475)),addition(X_474,addition(X_475,X_473))) ),[0,1],$fot(addition(X_475,X_474))]]) ).
cnf(refute_0_612,plain,
( addition(X_473,addition(X_474,X_475)) != addition(X_474,addition(X_475,X_473))
| addition(X_473,addition(X_475,X_474)) = addition(X_474,addition(X_475,X_473)) ),
inference(resolve,[$cnf( $equal(addition(X_474,X_475),addition(X_475,X_474)) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
addition(X_473,addition(X_475,X_474)) = addition(X_474,addition(X_475,X_473)),
inference(resolve,[$cnf( $equal(addition(X_473,addition(X_474,X_475)),addition(X_474,addition(X_475,X_473))) )],[refute_0_607,refute_0_612]) ).
cnf(refute_0_614,plain,
( addition(X_473,addition(X_475,X_474)) != addition(X_474,addition(X_475,X_473))
| addition(X_474,addition(X_475,X_473)) = addition(X_473,addition(X_475,X_474)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(addition(X_473,addition(X_475,X_474)))),bind(Y,$fot(addition(X_474,addition(X_475,X_473))))]]) ).
cnf(refute_0_615,plain,
addition(X_474,addition(X_475,X_473)) = addition(X_473,addition(X_475,X_474)),
inference(resolve,[$cnf( $equal(addition(X_473,addition(X_475,X_474)),addition(X_474,addition(X_475,X_473))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) = addition(X_475,addition(X_474,multiplication(X_475,coantidomain(X_328)))),
inference(subst,[],[refute_0_615:[bind(X_473,$fot(X_475)),bind(X_474,$fot(multiplication(X_475,coantidomain(X_328)))),bind(X_475,$fot(X_474))]]) ).
cnf(refute_0_617,plain,
( addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) != addition(X_474,X_475)
| addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) != addition(X_475,addition(X_474,multiplication(X_475,coantidomain(X_328))))
| addition(X_475,addition(X_474,multiplication(X_475,coantidomain(X_328)))) = addition(X_474,X_475) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)),addition(X_474,X_475)) ),[0],$fot(addition(X_475,addition(X_474,multiplication(X_475,coantidomain(X_328)))))]]) ).
cnf(refute_0_618,plain,
( addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)) != addition(X_474,X_475)
| addition(X_475,addition(X_474,multiplication(X_475,coantidomain(X_328)))) = addition(X_474,X_475) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)),addition(X_475,addition(X_474,multiplication(X_475,coantidomain(X_328))))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
addition(X_475,addition(X_474,multiplication(X_475,coantidomain(X_328)))) = addition(X_474,X_475),
inference(resolve,[$cnf( $equal(addition(multiplication(X_475,coantidomain(X_328)),addition(X_474,X_475)),addition(X_474,X_475)) )],[refute_0_606,refute_0_618]) ).
cnf(refute_0_620,plain,
addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))) = addition(X_156,X_155),
inference(subst,[],[refute_0_619:[bind(X_328,$fot(X_156)),bind(X_474,$fot(X_156)),bind(X_475,$fot(X_155))]]) ).
cnf(refute_0_621,plain,
( addition(X_155,X_156) != addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))
| addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))) != addition(X_156,X_155)
| addition(X_155,X_156) = addition(X_156,X_155) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_155,X_156),addition(X_156,X_155)) ),[0],$fot(addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))))]]) ).
cnf(refute_0_622,plain,
( addition(X_155,X_156) != addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))
| addition(X_155,X_156) = addition(X_156,X_155) ),
inference(resolve,[$cnf( $equal(addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156)))),addition(X_156,X_155)) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
addition(X_155,X_156) = addition(X_156,X_155),
inference(resolve,[$cnf( $equal(addition(X_155,X_156),addition(X_155,addition(X_156,multiplication(X_155,coantidomain(X_156))))) )],[refute_0_580,refute_0_622]) ).
cnf(refute_0_624,plain,
( addition(X_155,X_156) != addition(X_156,X_155)
| addition(X_156,X_155) = addition(X_155,X_156) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(addition(X_155,X_156))),bind(Y,$fot(addition(X_156,X_155)))]]) ).
cnf(refute_0_625,plain,
addition(X_156,X_155) = addition(X_155,X_156),
inference(resolve,[$cnf( $equal(addition(X_155,X_156),addition(X_156,X_155)) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0))) = addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))),
inference(subst,[],[refute_0_625:[bind(X_155,$fot(coantidomain(backward_diamond(X1,X0)))),bind(X_156,$fot(coantidomain(multiplication(X0,X1))))]]) ).
cnf(refute_0_627,plain,
multiplication(X_818,addition(coantidomain(X_818),codomain(X_818))) = multiplication(X_818,codomain(X_818)),
inference(subst,[],[refute_0_16:[bind(X_238,$fot(X_818)),bind(X_240,$fot(codomain(X_818)))]]) ).
cnf(refute_0_628,plain,
addition(coantidomain(X_818),codomain(X_818)) = one,
inference(subst,[],[refute_0_56:[bind(X0,$fot(X_818))]]) ).
cnf(refute_0_629,plain,
( addition(coantidomain(X_818),codomain(X_818)) != one
| multiplication(X_818,addition(coantidomain(X_818),codomain(X_818))) != multiplication(X_818,codomain(X_818))
| multiplication(X_818,one) = multiplication(X_818,codomain(X_818)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_818,addition(coantidomain(X_818),codomain(X_818))),multiplication(X_818,codomain(X_818))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_630,plain,
( multiplication(X_818,addition(coantidomain(X_818),codomain(X_818))) != multiplication(X_818,codomain(X_818))
| multiplication(X_818,one) = multiplication(X_818,codomain(X_818)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_818),codomain(X_818)),one) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
multiplication(X_818,one) = multiplication(X_818,codomain(X_818)),
inference(resolve,[$cnf( $equal(multiplication(X_818,addition(coantidomain(X_818),codomain(X_818))),multiplication(X_818,codomain(X_818))) )],[refute_0_627,refute_0_630]) ).
cnf(refute_0_632,plain,
multiplication(X_818,one) = X_818,
inference(subst,[],[refute_0_60:[bind(A,$fot(X_818))]]) ).
cnf(refute_0_633,plain,
( multiplication(X_818,one) != X_818
| multiplication(X_818,one) != multiplication(X_818,codomain(X_818))
| X_818 = multiplication(X_818,codomain(X_818)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_818,one),multiplication(X_818,codomain(X_818))) ),[0],$fot(X_818)]]) ).
cnf(refute_0_634,plain,
( multiplication(X_818,one) != multiplication(X_818,codomain(X_818))
| X_818 = multiplication(X_818,codomain(X_818)) ),
inference(resolve,[$cnf( $equal(multiplication(X_818,one),X_818) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
X_818 = multiplication(X_818,codomain(X_818)),
inference(resolve,[$cnf( $equal(multiplication(X_818,one),multiplication(X_818,codomain(X_818))) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
coantidomain(X_6) = multiplication(coantidomain(X_6),codomain(coantidomain(X_6))),
inference(subst,[],[refute_0_635:[bind(X_818,$fot(coantidomain(X_6)))]]) ).
cnf(refute_0_637,plain,
codomain(coantidomain(X_6)) = coantidomain(coantidomain(coantidomain(X_6))),
inference(subst,[],[refute_0_47:[bind(X0,$fot(coantidomain(X_6)))]]) ).
cnf(refute_0_638,plain,
codomain(X_6) = coantidomain(coantidomain(X_6)),
inference(subst,[],[refute_0_47:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_639,plain,
( codomain(X_6) != coantidomain(coantidomain(X_6))
| coantidomain(coantidomain(X_6)) = codomain(X_6) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(codomain(X_6))),bind(Y,$fot(coantidomain(coantidomain(X_6))))]]) ).
cnf(refute_0_640,plain,
coantidomain(coantidomain(X_6)) = codomain(X_6),
inference(resolve,[$cnf( $equal(codomain(X_6),coantidomain(coantidomain(X_6))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
( coantidomain(coantidomain(X_6)) != codomain(X_6)
| codomain(coantidomain(X_6)) != coantidomain(coantidomain(coantidomain(X_6)))
| codomain(coantidomain(X_6)) = coantidomain(codomain(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_6)),coantidomain(coantidomain(coantidomain(X_6)))) ),[1,0],$fot(codomain(X_6))]]) ).
cnf(refute_0_642,plain,
( codomain(coantidomain(X_6)) != coantidomain(coantidomain(coantidomain(X_6)))
| codomain(coantidomain(X_6)) = coantidomain(codomain(X_6)) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_6)),codomain(X_6)) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
codomain(coantidomain(X_6)) = coantidomain(codomain(X_6)),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_6)),coantidomain(coantidomain(coantidomain(X_6)))) )],[refute_0_637,refute_0_642]) ).
cnf(refute_0_644,plain,
( coantidomain(X_6) != multiplication(coantidomain(X_6),codomain(coantidomain(X_6)))
| codomain(coantidomain(X_6)) != coantidomain(codomain(X_6))
| coantidomain(X_6) = multiplication(coantidomain(X_6),coantidomain(codomain(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(X_6),multiplication(coantidomain(X_6),codomain(coantidomain(X_6)))) ),[1,1],$fot(coantidomain(codomain(X_6)))]]) ).
cnf(refute_0_645,plain,
( coantidomain(X_6) != multiplication(coantidomain(X_6),codomain(coantidomain(X_6)))
| coantidomain(X_6) = multiplication(coantidomain(X_6),coantidomain(codomain(X_6))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_6)),coantidomain(codomain(X_6))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
coantidomain(X_6) = multiplication(coantidomain(X_6),coantidomain(codomain(X_6))),
inference(resolve,[$cnf( $equal(coantidomain(X_6),multiplication(coantidomain(X_6),codomain(coantidomain(X_6)))) )],[refute_0_636,refute_0_645]) ).
cnf(refute_0_647,plain,
multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(subst,[],[refute_0_433:[bind(X_155,$fot(coantidomain(X0))),bind(X_156,$fot(codomain(X0)))]]) ).
cnf(refute_0_648,plain,
( addition(coantidomain(X0),codomain(X0)) != one
| multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_649,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( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_56,refute_0_648]) ).
cnf(refute_0_650,plain,
multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_647,refute_0_649]) ).
cnf(refute_0_651,plain,
multiplication(one,coantidomain(codomain(X0))) = coantidomain(codomain(X0)),
inference(subst,[],[refute_0_20:[bind(A,$fot(coantidomain(codomain(X0))))]]) ).
cnf(refute_0_652,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_653,plain,
( multiplication(one,coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),coantidomain(codomain(X0))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_650,refute_0_653]) ).
cnf(refute_0_655,plain,
( coantidomain(codomain(X0)) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| multiplication(coantidomain(X0),coantidomain(codomain(X0))) = coantidomain(codomain(X0)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(coantidomain(codomain(X0)))),bind(Y,$fot(multiplication(coantidomain(X0),coantidomain(codomain(X0)))))]]) ).
cnf(refute_0_656,plain,
multiplication(coantidomain(X0),coantidomain(codomain(X0))) = coantidomain(codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(codomain(X0)),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
multiplication(coantidomain(X_6),coantidomain(codomain(X_6))) = coantidomain(codomain(X_6)),
inference(subst,[],[refute_0_656:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_658,plain,
( coantidomain(X_6) != multiplication(coantidomain(X_6),coantidomain(codomain(X_6)))
| multiplication(coantidomain(X_6),coantidomain(codomain(X_6))) != coantidomain(codomain(X_6))
| coantidomain(X_6) = coantidomain(codomain(X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(coantidomain(X_6),coantidomain(codomain(X_6))) ),[0],$fot(multiplication(coantidomain(X_6),coantidomain(codomain(X_6))))]]) ).
cnf(refute_0_659,plain,
( coantidomain(X_6) != multiplication(coantidomain(X_6),coantidomain(codomain(X_6)))
| coantidomain(X_6) = coantidomain(codomain(X_6)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_6),coantidomain(codomain(X_6))),coantidomain(codomain(X_6))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
coantidomain(X_6) = coantidomain(codomain(X_6)),
inference(resolve,[$cnf( $equal(coantidomain(X_6),multiplication(coantidomain(X_6),coantidomain(codomain(X_6)))) )],[refute_0_646,refute_0_659]) ).
cnf(refute_0_661,plain,
coantidomain(multiplication(codomain(X1),X0)) = coantidomain(codomain(multiplication(codomain(X1),X0))),
inference(subst,[],[refute_0_660:[bind(X_6,$fot(multiplication(codomain(X1),X0)))]]) ).
cnf(refute_0_662,plain,
backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_663,plain,
( backward_diamond(X0,X1) != codomain(multiplication(codomain(X1),X0))
| codomain(multiplication(codomain(X1),X0)) = backward_diamond(X0,X1) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(backward_diamond(X0,X1))),bind(Y,$fot(codomain(multiplication(codomain(X1),X0))))]]) ).
cnf(refute_0_664,plain,
codomain(multiplication(codomain(X1),X0)) = backward_diamond(X0,X1),
inference(resolve,[$cnf( $equal(backward_diamond(X0,X1),codomain(multiplication(codomain(X1),X0))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
( coantidomain(multiplication(codomain(X1),X0)) != coantidomain(codomain(multiplication(codomain(X1),X0)))
| codomain(multiplication(codomain(X1),X0)) != backward_diamond(X0,X1)
| coantidomain(multiplication(codomain(X1),X0)) = coantidomain(backward_diamond(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(codomain(X1),X0)),coantidomain(codomain(multiplication(codomain(X1),X0)))) ),[1,0],$fot(backward_diamond(X0,X1))]]) ).
cnf(refute_0_666,plain,
( coantidomain(multiplication(codomain(X1),X0)) != coantidomain(codomain(multiplication(codomain(X1),X0)))
| coantidomain(multiplication(codomain(X1),X0)) = coantidomain(backward_diamond(X0,X1)) ),
inference(resolve,[$cnf( $equal(codomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
coantidomain(multiplication(codomain(X1),X0)) = coantidomain(backward_diamond(X0,X1)),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(X1),X0)),coantidomain(codomain(multiplication(codomain(X1),X0)))) )],[refute_0_661,refute_0_666]) ).
cnf(refute_0_668,plain,
coantidomain(multiplication(codomain(X0),X1)) = coantidomain(backward_diamond(X1,X0)),
inference(subst,[],[refute_0_667:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_669,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),
introduced(tautology,[refl,[$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))))]]) ).
cnf(refute_0_670,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))
| coantidomain(multiplication(codomain(X0),X1)) != coantidomain(backward_diamond(X1,X0))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))) ),[1,1],$fot(coantidomain(backward_diamond(X1,X0)))]]) ).
cnf(refute_0_671,plain,
( coantidomain(multiplication(codomain(X0),X1)) != coantidomain(backward_diamond(X1,X0))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0))),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(X0),X1)),coantidomain(backward_diamond(X1,X0))) )],[refute_0_668,refute_0_671]) ).
cnf(refute_0_673,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0))) != addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1)))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0)))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))))),bind(Y,$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0))))),bind(Z,$fot(addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1)))))]]) ).
cnf(refute_0_674,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0))) != addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1)))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0)))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(backward_diamond(X1,X0))),addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1)))) )],[refute_0_626,refute_0_674]) ).
cnf(refute_0_676,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1)))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(codomain(X0),X1))) ),[0],$fot(addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))))]]) ).
cnf(refute_0_677,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1)))) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
( addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) != coantidomain(multiplication(codomain(X0),X1))
| coantidomain(multiplication(codomain(X0),X1)) != coantidomain(backward_diamond(X1,X0))
| addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) = coantidomain(backward_diamond(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))),coantidomain(backward_diamond(X1,X0))) ),[0],$fot(coantidomain(multiplication(codomain(X0),X1)))]]) ).
cnf(refute_0_679,plain,
( addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) = coantidomain(backward_diamond(X1,X0)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(X0),X1)),coantidomain(backward_diamond(X1,X0))) )],[refute_0_668,refute_0_678]) ).
cnf(refute_0_680,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) = coantidomain(backward_diamond(X1,X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_677,refute_0_679]) ).
cnf(refute_0_681,plain,
addition(coantidomain(backward_diamond(X1,X0)),coantidomain(multiplication(X0,X1))) = coantidomain(backward_diamond(X1,X0)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_519,refute_0_680]) ).
cnf(refute_0_682,plain,
addition(coantidomain(backward_diamond(X_1262,X_1261)),coantidomain(multiplication(X_1261,X_1262))) = coantidomain(backward_diamond(X_1262,X_1261)),
inference(subst,[],[refute_0_681:[bind(X0,$fot(X_1261)),bind(X1,$fot(X_1262))]]) ).
cnf(refute_0_683,plain,
( addition(coantidomain(backward_diamond(X_1262,X_1261)),coantidomain(multiplication(X_1261,X_1262))) != coantidomain(backward_diamond(X_1262,X_1261))
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(addition(coantidomain(backward_diamond(X_1262,X_1261)),coantidomain(multiplication(X_1261,X_1262))))) != zero
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(addition(coantidomain(backward_diamond(X_1262,X_1261)),coantidomain(multiplication(X_1261,X_1262))))),zero) ),[0,1,0],$fot(coantidomain(backward_diamond(X_1262,X_1261)))]]) ).
cnf(refute_0_684,plain,
( forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(addition(coantidomain(backward_diamond(X_1262,X_1261)),coantidomain(multiplication(X_1261,X_1262))))) != zero
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) = zero ),
inference(resolve,[$cnf( $equal(addition(coantidomain(backward_diamond(X_1262,X_1261)),coantidomain(multiplication(X_1261,X_1262))),coantidomain(backward_diamond(X_1262,X_1261))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(addition(coantidomain(backward_diamond(X_1262,X_1261)),coantidomain(multiplication(X_1261,X_1262))))),zero) )],[refute_0_500,refute_0_684]) ).
cnf(refute_0_686,plain,
multiplication(addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))),
inference(subst,[],[refute_0_433:[bind(X_155,$fot(backward_diamond(X_42,X_43))),bind(X_156,$fot(coantidomain(backward_diamond(X_42,X_43))))]]) ).
cnf(refute_0_687,plain,
addition(coantidomain(coantidomain(X_6)),codomain(coantidomain(X_6))) = one,
inference(subst,[],[refute_0_56:[bind(X0,$fot(coantidomain(X_6)))]]) ).
cnf(refute_0_688,plain,
( addition(coantidomain(coantidomain(X_6)),codomain(coantidomain(X_6))) != one
| codomain(coantidomain(X_6)) != coantidomain(codomain(X_6))
| addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_6)),codomain(coantidomain(X_6))),one) ),[0,1],$fot(coantidomain(codomain(X_6)))]]) ).
cnf(refute_0_689,plain,
( addition(coantidomain(coantidomain(X_6)),codomain(coantidomain(X_6))) != one
| addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) = one ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_6)),coantidomain(codomain(X_6))) )],[refute_0_643,refute_0_688]) ).
cnf(refute_0_690,plain,
addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_6)),codomain(coantidomain(X_6))),one) )],[refute_0_687,refute_0_689]) ).
cnf(refute_0_691,plain,
addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) = addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))),
introduced(tautology,[refl,[$fot(addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))))]]) ).
cnf(refute_0_692,plain,
( addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) != addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6)))
| coantidomain(coantidomain(X_6)) != codomain(X_6)
| addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) = addition(codomain(X_6),coantidomain(codomain(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))),addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6)))) ),[1,0],$fot(codomain(X_6))]]) ).
cnf(refute_0_693,plain,
( coantidomain(coantidomain(X_6)) != codomain(X_6)
| addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) = addition(codomain(X_6),coantidomain(codomain(X_6))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))),addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6)))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) = addition(codomain(X_6),coantidomain(codomain(X_6))),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_6)),codomain(X_6)) )],[refute_0_640,refute_0_693]) ).
cnf(refute_0_695,plain,
( addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) != addition(codomain(X_6),coantidomain(codomain(X_6)))
| addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) != one
| addition(codomain(X_6),coantidomain(codomain(X_6))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))),one) ),[0],$fot(addition(codomain(X_6),coantidomain(codomain(X_6))))]]) ).
cnf(refute_0_696,plain,
( addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))) != one
| addition(codomain(X_6),coantidomain(codomain(X_6))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))),addition(codomain(X_6),coantidomain(codomain(X_6)))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
addition(codomain(X_6),coantidomain(codomain(X_6))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_6)),coantidomain(codomain(X_6))),one) )],[refute_0_690,refute_0_696]) ).
cnf(refute_0_698,plain,
addition(codomain(multiplication(codomain(X_43),X_42)),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) = one,
inference(subst,[],[refute_0_697:[bind(X_6,$fot(multiplication(codomain(X_43),X_42)))]]) ).
cnf(refute_0_699,plain,
backward_diamond(X_42,X_43) = codomain(multiplication(codomain(X_43),X_42)),
inference(subst,[],[refute_0_662:[bind(X0,$fot(X_42)),bind(X1,$fot(X_43))]]) ).
cnf(refute_0_700,plain,
( backward_diamond(X_42,X_43) != codomain(multiplication(codomain(X_43),X_42))
| codomain(multiplication(codomain(X_43),X_42)) = backward_diamond(X_42,X_43) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(backward_diamond(X_42,X_43))),bind(Y,$fot(codomain(multiplication(codomain(X_43),X_42))))]]) ).
cnf(refute_0_701,plain,
codomain(multiplication(codomain(X_43),X_42)) = backward_diamond(X_42,X_43),
inference(resolve,[$cnf( $equal(backward_diamond(X_42,X_43),codomain(multiplication(codomain(X_43),X_42))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
( addition(codomain(multiplication(codomain(X_43),X_42)),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) != one
| codomain(multiplication(codomain(X_43),X_42)) != backward_diamond(X_42,X_43)
| addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(multiplication(codomain(X_43),X_42)),coantidomain(codomain(multiplication(codomain(X_43),X_42)))),one) ),[0,0],$fot(backward_diamond(X_42,X_43))]]) ).
cnf(refute_0_703,plain,
( addition(codomain(multiplication(codomain(X_43),X_42)),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) != one
| addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) = one ),
inference(resolve,[$cnf( $equal(codomain(multiplication(codomain(X_43),X_42)),backward_diamond(X_42,X_43)) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(multiplication(codomain(X_43),X_42)),coantidomain(codomain(multiplication(codomain(X_43),X_42)))),one) )],[refute_0_698,refute_0_703]) ).
cnf(refute_0_705,plain,
coantidomain(codomain(multiplication(codomain(X_43),X_42))) = coantidomain(codomain(multiplication(codomain(X_43),X_42))),
introduced(tautology,[refl,[$fot(coantidomain(codomain(multiplication(codomain(X_43),X_42))))]]) ).
cnf(refute_0_706,plain,
( coantidomain(codomain(multiplication(codomain(X_43),X_42))) != coantidomain(codomain(multiplication(codomain(X_43),X_42)))
| codomain(multiplication(codomain(X_43),X_42)) != backward_diamond(X_42,X_43)
| coantidomain(codomain(multiplication(codomain(X_43),X_42))) = coantidomain(backward_diamond(X_42,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(codomain(multiplication(codomain(X_43),X_42))),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) ),[1,0],$fot(backward_diamond(X_42,X_43))]]) ).
cnf(refute_0_707,plain,
( codomain(multiplication(codomain(X_43),X_42)) != backward_diamond(X_42,X_43)
| coantidomain(codomain(multiplication(codomain(X_43),X_42))) = coantidomain(backward_diamond(X_42,X_43)) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(multiplication(codomain(X_43),X_42))),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
coantidomain(codomain(multiplication(codomain(X_43),X_42))) = coantidomain(backward_diamond(X_42,X_43)),
inference(resolve,[$cnf( $equal(codomain(multiplication(codomain(X_43),X_42)),backward_diamond(X_42,X_43)) )],[refute_0_701,refute_0_707]) ).
cnf(refute_0_709,plain,
addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) = addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))),
introduced(tautology,[refl,[$fot(addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))))]]) ).
cnf(refute_0_710,plain,
( addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) != addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42))))
| coantidomain(codomain(multiplication(codomain(X_43),X_42))) != coantidomain(backward_diamond(X_42,X_43))
| addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) = addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))),addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42))))) ),[1,1],$fot(coantidomain(backward_diamond(X_42,X_43)))]]) ).
cnf(refute_0_711,plain,
( coantidomain(codomain(multiplication(codomain(X_43),X_42))) != coantidomain(backward_diamond(X_42,X_43))
| addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) = addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))) ),
inference(resolve,[$cnf( $equal(addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))),addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42))))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) = addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))),
inference(resolve,[$cnf( $equal(coantidomain(codomain(multiplication(codomain(X_43),X_42))),coantidomain(backward_diamond(X_42,X_43))) )],[refute_0_708,refute_0_711]) ).
cnf(refute_0_713,plain,
( addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) != addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43)))
| addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) != one
| addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))),one) ),[0],$fot(addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))))]]) ).
cnf(refute_0_714,plain,
( addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))) != one
| addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))) = one ),
inference(resolve,[$cnf( $equal(addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))),addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43)))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))) = one,
inference(resolve,[$cnf( $equal(addition(backward_diamond(X_42,X_43),coantidomain(codomain(multiplication(codomain(X_43),X_42)))),one) )],[refute_0_704,refute_0_714]) ).
cnf(refute_0_716,plain,
( addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))) != one
| multiplication(addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))
| multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))),coantidomain(coantidomain(backward_diamond(X_42,X_43)))),multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_717,plain,
( multiplication(addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))
| multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) ),
inference(resolve,[$cnf( $equal(addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))),one) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))),
inference(resolve,[$cnf( $equal(multiplication(addition(backward_diamond(X_42,X_43),coantidomain(backward_diamond(X_42,X_43))),coantidomain(coantidomain(backward_diamond(X_42,X_43)))),multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))) )],[refute_0_686,refute_0_717]) ).
cnf(refute_0_719,plain,
coantidomain(coantidomain(backward_diamond(X_42,X_43))) = codomain(backward_diamond(X_42,X_43)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(backward_diamond(X_42,X_43)))]]) ).
cnf(refute_0_720,plain,
multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = coantidomain(coantidomain(backward_diamond(X_42,X_43))),
inference(subst,[],[refute_0_20:[bind(A,$fot(coantidomain(coantidomain(backward_diamond(X_42,X_43)))))]]) ).
cnf(refute_0_721,plain,
( coantidomain(coantidomain(backward_diamond(X_42,X_43))) != codomain(backward_diamond(X_42,X_43))
| multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != coantidomain(coantidomain(backward_diamond(X_42,X_43)))
| multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = codomain(backward_diamond(X_42,X_43)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))))),bind(Y,$fot(coantidomain(coantidomain(backward_diamond(X_42,X_43))))),bind(Z,$fot(codomain(backward_diamond(X_42,X_43))))]]) ).
cnf(refute_0_722,plain,
( coantidomain(coantidomain(backward_diamond(X_42,X_43))) != codomain(backward_diamond(X_42,X_43))
| multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = codomain(backward_diamond(X_42,X_43)) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = codomain(backward_diamond(X_42,X_43)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(backward_diamond(X_42,X_43))),codomain(backward_diamond(X_42,X_43))) )],[refute_0_719,refute_0_722]) ).
cnf(refute_0_724,plain,
( multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != codomain(backward_diamond(X_42,X_43))
| multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))
| codomain(backward_diamond(X_42,X_43)) = multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))),multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))) ),[0],$fot(codomain(backward_diamond(X_42,X_43)))]]) ).
cnf(refute_0_725,plain,
( multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))
| codomain(backward_diamond(X_42,X_43)) = multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))),codomain(backward_diamond(X_42,X_43))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))),
introduced(tautology,[refl,[$fot(multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))))]]) ).
cnf(refute_0_727,plain,
( coantidomain(coantidomain(backward_diamond(X_42,X_43))) != codomain(backward_diamond(X_42,X_43))
| multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))
| multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))),multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))) ),[1,1],$fot(codomain(backward_diamond(X_42,X_43)))]]) ).
cnf(refute_0_728,plain,
( coantidomain(coantidomain(backward_diamond(X_42,X_43))) != codomain(backward_diamond(X_42,X_43))
| multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))) ),
inference(resolve,[$cnf( $equal(multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))),multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) = multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(backward_diamond(X_42,X_43))),codomain(backward_diamond(X_42,X_43))) )],[refute_0_719,refute_0_728]) ).
cnf(refute_0_730,plain,
( codomain(backward_diamond(X_42,X_43)) != multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))
| multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43)))
| codomain(backward_diamond(X_42,X_43)) = multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(codomain(backward_diamond(X_42,X_43)),multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43)))) ),[0],$fot(multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))))]]) ).
cnf(refute_0_731,plain,
( codomain(backward_diamond(X_42,X_43)) != multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))
| codomain(backward_diamond(X_42,X_43)) = multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))) ),
inference(resolve,[$cnf( $equal(multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43)))),multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43)))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
( multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))) != multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))
| codomain(backward_diamond(X_42,X_43)) = multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))) ),
inference(resolve,[$cnf( $equal(codomain(backward_diamond(X_42,X_43)),multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))) )],[refute_0_725,refute_0_731]) ).
cnf(refute_0_733,plain,
codomain(backward_diamond(X_42,X_43)) = multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(coantidomain(backward_diamond(X_42,X_43)))),multiplication(backward_diamond(X_42,X_43),coantidomain(coantidomain(backward_diamond(X_42,X_43))))) )],[refute_0_718,refute_0_732]) ).
cnf(refute_0_734,plain,
( X_818 != multiplication(X_818,codomain(X_818))
| multiplication(X_818,codomain(X_818)) = X_818 ),
inference(subst,[],[refute_0_40:[bind(X,$fot(X_818)),bind(Y,$fot(multiplication(X_818,codomain(X_818))))]]) ).
cnf(refute_0_735,plain,
multiplication(X_818,codomain(X_818)) = X_818,
inference(resolve,[$cnf( $equal(X_818,multiplication(X_818,codomain(X_818))) )],[refute_0_635,refute_0_734]) ).
cnf(refute_0_736,plain,
multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))) = backward_diamond(X_42,X_43),
inference(subst,[],[refute_0_735:[bind(X_818,$fot(backward_diamond(X_42,X_43)))]]) ).
cnf(refute_0_737,plain,
( codomain(backward_diamond(X_42,X_43)) != multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43)))
| multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))) != backward_diamond(X_42,X_43)
| codomain(backward_diamond(X_42,X_43)) = backward_diamond(X_42,X_43) ),
introduced(tautology,[equality,[$cnf( ~ $equal(codomain(backward_diamond(X_42,X_43)),backward_diamond(X_42,X_43)) ),[0],$fot(multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))))]]) ).
cnf(refute_0_738,plain,
( codomain(backward_diamond(X_42,X_43)) != multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43)))
| codomain(backward_diamond(X_42,X_43)) = backward_diamond(X_42,X_43) ),
inference(resolve,[$cnf( $equal(multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43))),backward_diamond(X_42,X_43)) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
codomain(backward_diamond(X_42,X_43)) = backward_diamond(X_42,X_43),
inference(resolve,[$cnf( $equal(codomain(backward_diamond(X_42,X_43)),multiplication(backward_diamond(X_42,X_43),codomain(backward_diamond(X_42,X_43)))) )],[refute_0_733,refute_0_738]) ).
cnf(refute_0_740,plain,
codomain(backward_diamond(X_1262,X_1261)) = backward_diamond(X_1262,X_1261),
inference(subst,[],[refute_0_739:[bind(X_42,$fot(X_1262)),bind(X_43,$fot(X_1261))]]) ).
cnf(refute_0_741,plain,
coantidomain(coantidomain(backward_diamond(X_1262,X_1261))) = codomain(backward_diamond(X_1262,X_1261)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(backward_diamond(X_1262,X_1261)))]]) ).
cnf(refute_0_742,plain,
( coantidomain(coantidomain(backward_diamond(X_1262,X_1261))) != codomain(backward_diamond(X_1262,X_1261))
| codomain(backward_diamond(X_1262,X_1261)) != backward_diamond(X_1262,X_1261)
| coantidomain(coantidomain(backward_diamond(X_1262,X_1261))) = backward_diamond(X_1262,X_1261) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(coantidomain(coantidomain(backward_diamond(X_1262,X_1261))))),bind(Y,$fot(codomain(backward_diamond(X_1262,X_1261)))),bind(Z,$fot(backward_diamond(X_1262,X_1261)))]]) ).
cnf(refute_0_743,plain,
( codomain(backward_diamond(X_1262,X_1261)) != backward_diamond(X_1262,X_1261)
| coantidomain(coantidomain(backward_diamond(X_1262,X_1261))) = backward_diamond(X_1262,X_1261) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(backward_diamond(X_1262,X_1261))),codomain(backward_diamond(X_1262,X_1261))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
coantidomain(coantidomain(backward_diamond(X_1262,X_1261))) = backward_diamond(X_1262,X_1261),
inference(resolve,[$cnf( $equal(codomain(backward_diamond(X_1262,X_1261)),backward_diamond(X_1262,X_1261)) )],[refute_0_740,refute_0_743]) ).
cnf(refute_0_745,plain,
forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) = forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))),
introduced(tautology,[refl,[$fot(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))))]]) ).
cnf(refute_0_746,plain,
( coantidomain(coantidomain(backward_diamond(X_1262,X_1261))) != backward_diamond(X_1262,X_1261)
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) != forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261))))
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) = forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))),forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261))))) ),[1,1],$fot(backward_diamond(X_1262,X_1261))]]) ).
cnf(refute_0_747,plain,
( coantidomain(coantidomain(backward_diamond(X_1262,X_1261))) != backward_diamond(X_1262,X_1261)
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) = forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261)) ),
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))),forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261))))) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) = forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(backward_diamond(X_1262,X_1261))),backward_diamond(X_1262,X_1261)) )],[refute_0_744,refute_0_747]) ).
cnf(refute_0_749,plain,
( forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) != forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261))
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) != zero
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))),zero) ),[0],$fot(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261)))]]) ).
cnf(refute_0_750,plain,
( forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))) != zero
| forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261)) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))),forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
forward_diamond(coantidomain(multiplication(X_1261,X_1262)),backward_diamond(X_1262,X_1261)) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(multiplication(X_1261,X_1262)),coantidomain(coantidomain(backward_diamond(X_1262,X_1261)))),zero) )],[refute_0_685,refute_0_750]) ).
cnf(refute_0_752,plain,
forward_diamond(coantidomain(multiplication(antidomain(addition(X_1262,X_2030)),X_1262)),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = zero,
inference(subst,[],[refute_0_751:[bind(X_1261,$fot(antidomain(addition(X_1262,X_2030))))]]) ).
cnf(refute_0_753,plain,
multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,addition(X_1944,X_223))) = multiplication(antidomain(addition(X_1944,X_223)),X_1944),
inference(subst,[],[refute_0_35:[bind(X_239,$fot(X_1944)),bind(X_240,$fot(addition(X_1944,X_223)))]]) ).
cnf(refute_0_754,plain,
addition(X_1944,addition(X_1944,X_223)) = addition(X_1944,X_223),
inference(subst,[],[refute_0_78:[bind(X_222,$fot(X_1944))]]) ).
cnf(refute_0_755,plain,
( addition(X_1944,addition(X_1944,X_223)) != addition(X_1944,X_223)
| multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,addition(X_1944,X_223))) != multiplication(antidomain(addition(X_1944,X_223)),X_1944)
| multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)) = multiplication(antidomain(addition(X_1944,X_223)),X_1944) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,addition(X_1944,X_223))),multiplication(antidomain(addition(X_1944,X_223)),X_1944)) ),[0,1],$fot(addition(X_1944,X_223))]]) ).
cnf(refute_0_756,plain,
( multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,addition(X_1944,X_223))) != multiplication(antidomain(addition(X_1944,X_223)),X_1944)
| multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)) = multiplication(antidomain(addition(X_1944,X_223)),X_1944) ),
inference(resolve,[$cnf( $equal(addition(X_1944,addition(X_1944,X_223)),addition(X_1944,X_223)) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)) = multiplication(antidomain(addition(X_1944,X_223)),X_1944),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,addition(X_1944,X_223))),multiplication(antidomain(addition(X_1944,X_223)),X_1944)) )],[refute_0_753,refute_0_756]) ).
cnf(refute_0_758,plain,
multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)) = zero,
inference(subst,[],[refute_0_27:[bind(X0,$fot(addition(X_1944,X_223)))]]) ).
cnf(refute_0_759,plain,
( multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)) != multiplication(antidomain(addition(X_1944,X_223)),X_1944)
| multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)) != zero
| zero = multiplication(antidomain(addition(X_1944,X_223)),X_1944) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)),multiplication(antidomain(addition(X_1944,X_223)),X_1944)) ),[0],$fot(zero)]]) ).
cnf(refute_0_760,plain,
( multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)) != multiplication(antidomain(addition(X_1944,X_223)),X_1944)
| zero = multiplication(antidomain(addition(X_1944,X_223)),X_1944) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)),zero) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
zero = multiplication(antidomain(addition(X_1944,X_223)),X_1944),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_1944,X_223)),addition(X_1944,X_223)),multiplication(antidomain(addition(X_1944,X_223)),X_1944)) )],[refute_0_757,refute_0_760]) ).
cnf(refute_0_762,plain,
zero = multiplication(antidomain(addition(X_1262,X_2030)),X_1262),
inference(subst,[],[refute_0_761:[bind(X_1944,$fot(X_1262)),bind(X_223,$fot(X_2030))]]) ).
cnf(refute_0_763,plain,
( zero != multiplication(antidomain(addition(X_1262,X_2030)),X_1262)
| multiplication(antidomain(addition(X_1262,X_2030)),X_1262) = zero ),
inference(subst,[],[refute_0_40:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(addition(X_1262,X_2030)),X_1262)))]]) ).
cnf(refute_0_764,plain,
multiplication(antidomain(addition(X_1262,X_2030)),X_1262) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(addition(X_1262,X_2030)),X_1262)) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
( forward_diamond(coantidomain(multiplication(antidomain(addition(X_1262,X_2030)),X_1262)),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != zero
| multiplication(antidomain(addition(X_1262,X_2030)),X_1262) != zero
| forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(coantidomain(multiplication(antidomain(addition(X_1262,X_2030)),X_1262)),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),zero) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_766,plain,
( forward_diamond(coantidomain(multiplication(antidomain(addition(X_1262,X_2030)),X_1262)),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != zero
| forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_1262,X_2030)),X_1262),zero) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(multiplication(antidomain(addition(X_1262,X_2030)),X_1262)),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),zero) )],[refute_0_752,refute_0_766]) ).
cnf(refute_0_768,plain,
multiplication(addition(antidomain(X_157),antidomain(c(X_157))),X_157) = multiplication(antidomain(c(X_157)),X_157),
inference(subst,[],[refute_0_140:[bind(X_156,$fot(antidomain(c(X_157))))]]) ).
cnf(refute_0_769,plain,
addition(antidomain(X0),addition(domain(X0),X_223)) = addition(addition(antidomain(X0),domain(X0)),X_223),
inference(subst,[],[refute_0_72:[bind(A,$fot(antidomain(X0))),bind(B,$fot(domain(X0))),bind(C,$fot(X_223))]]) ).
cnf(refute_0_770,plain,
( addition(antidomain(X0),addition(domain(X0),X_223)) != addition(addition(antidomain(X0),domain(X0)),X_223)
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),addition(domain(X0),X_223)) = addition(one,X_223) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_223)),addition(addition(antidomain(X0),domain(X0)),X_223)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_771,plain,
( addition(antidomain(X0),addition(domain(X0),X_223)) != addition(addition(antidomain(X0),domain(X0)),X_223)
| addition(antidomain(X0),addition(domain(X0),X_223)) = addition(one,X_223) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_94,refute_0_770]) ).
cnf(refute_0_772,plain,
addition(antidomain(X0),addition(domain(X0),X_223)) = addition(one,X_223),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_223)),addition(addition(antidomain(X0),domain(X0)),X_223)) )],[refute_0_769,refute_0_771]) ).
cnf(refute_0_773,plain,
addition(antidomain(X0),addition(domain(X0),antidomain(c(X0)))) = addition(one,antidomain(c(X0))),
inference(subst,[],[refute_0_772:[bind(X_223,$fot(antidomain(c(X0))))]]) ).
cnf(refute_0_774,plain,
multiplication(X_252,addition(one,domain(X_225))) = addition(X_252,multiplication(X_252,domain(X_225))),
inference(subst,[],[refute_0_592:[bind(X_238,$fot(X_252)),bind(X_240,$fot(domain(X_225)))]]) ).
cnf(refute_0_775,plain,
addition(c(X_8),addition(domain(X_8),X_223)) = addition(addition(c(X_8),domain(X_8)),X_223),
inference(subst,[],[refute_0_72:[bind(A,$fot(c(X_8))),bind(B,$fot(domain(X_8))),bind(C,$fot(X_223))]]) ).
cnf(refute_0_776,plain,
addition(antidomain(antidomain(X_8)),domain(antidomain(X_8))) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_777,plain,
( addition(antidomain(antidomain(X_8)),domain(antidomain(X_8))) != one
| domain(antidomain(X_8)) != c(X_8)
| addition(antidomain(antidomain(X_8)),c(X_8)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_8)),domain(antidomain(X_8))),one) ),[0,1],$fot(c(X_8))]]) ).
cnf(refute_0_778,plain,
( addition(antidomain(antidomain(X_8)),domain(antidomain(X_8))) != one
| addition(antidomain(antidomain(X_8)),c(X_8)) = one ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) )],[refute_0_169,refute_0_777]) ).
cnf(refute_0_779,plain,
addition(antidomain(antidomain(X_8)),c(X_8)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_8)),domain(antidomain(X_8))),one) )],[refute_0_776,refute_0_778]) ).
cnf(refute_0_780,plain,
addition(c(X_8),antidomain(antidomain(X_8))) = addition(c(X_8),antidomain(antidomain(X_8))),
introduced(tautology,[refl,[$fot(addition(c(X_8),antidomain(antidomain(X_8))))]]) ).
cnf(refute_0_781,plain,
( addition(c(X_8),antidomain(antidomain(X_8))) != addition(c(X_8),antidomain(antidomain(X_8)))
| antidomain(antidomain(X_8)) != domain(X_8)
| addition(c(X_8),antidomain(antidomain(X_8))) = addition(c(X_8),domain(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_8),antidomain(antidomain(X_8))),addition(c(X_8),antidomain(antidomain(X_8)))) ),[1,1],$fot(domain(X_8))]]) ).
cnf(refute_0_782,plain,
( antidomain(antidomain(X_8)) != domain(X_8)
| addition(c(X_8),antidomain(antidomain(X_8))) = addition(c(X_8),domain(X_8)) ),
inference(resolve,[$cnf( $equal(addition(c(X_8),antidomain(antidomain(X_8))),addition(c(X_8),antidomain(antidomain(X_8)))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
addition(c(X_8),antidomain(antidomain(X_8))) = addition(c(X_8),domain(X_8)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_8)),domain(X_8)) )],[refute_0_159,refute_0_782]) ).
cnf(refute_0_784,plain,
addition(antidomain(antidomain(X_8)),c(X_8)) = addition(c(X_8),antidomain(antidomain(X_8))),
inference(subst,[],[refute_0_42:[bind(A,$fot(c(X_8))),bind(B,$fot(antidomain(antidomain(X_8))))]]) ).
cnf(refute_0_785,plain,
( addition(antidomain(antidomain(X_8)),c(X_8)) != addition(c(X_8),antidomain(antidomain(X_8)))
| addition(c(X_8),antidomain(antidomain(X_8))) != addition(c(X_8),domain(X_8))
| addition(antidomain(antidomain(X_8)),c(X_8)) = addition(c(X_8),domain(X_8)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(antidomain(antidomain(X_8)),c(X_8)))),bind(Y,$fot(addition(c(X_8),antidomain(antidomain(X_8))))),bind(Z,$fot(addition(c(X_8),domain(X_8))))]]) ).
cnf(refute_0_786,plain,
( addition(c(X_8),antidomain(antidomain(X_8))) != addition(c(X_8),domain(X_8))
| addition(antidomain(antidomain(X_8)),c(X_8)) = addition(c(X_8),domain(X_8)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_8)),c(X_8)),addition(c(X_8),antidomain(antidomain(X_8)))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
addition(antidomain(antidomain(X_8)),c(X_8)) = addition(c(X_8),domain(X_8)),
inference(resolve,[$cnf( $equal(addition(c(X_8),antidomain(antidomain(X_8))),addition(c(X_8),domain(X_8))) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
( addition(antidomain(antidomain(X_8)),c(X_8)) != addition(c(X_8),domain(X_8))
| addition(antidomain(antidomain(X_8)),c(X_8)) != one
| addition(c(X_8),domain(X_8)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_8)),c(X_8)),one) ),[0],$fot(addition(c(X_8),domain(X_8)))]]) ).
cnf(refute_0_789,plain,
( addition(antidomain(antidomain(X_8)),c(X_8)) != one
| addition(c(X_8),domain(X_8)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_8)),c(X_8)),addition(c(X_8),domain(X_8))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
addition(c(X_8),domain(X_8)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_8)),c(X_8)),one) )],[refute_0_779,refute_0_789]) ).
cnf(refute_0_791,plain,
( addition(c(X_8),addition(domain(X_8),X_223)) != addition(addition(c(X_8),domain(X_8)),X_223)
| addition(c(X_8),domain(X_8)) != one
| addition(c(X_8),addition(domain(X_8),X_223)) = addition(one,X_223) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_8),addition(domain(X_8),X_223)),addition(addition(c(X_8),domain(X_8)),X_223)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_792,plain,
( addition(c(X_8),addition(domain(X_8),X_223)) != addition(addition(c(X_8),domain(X_8)),X_223)
| addition(c(X_8),addition(domain(X_8),X_223)) = addition(one,X_223) ),
inference(resolve,[$cnf( $equal(addition(c(X_8),domain(X_8)),one) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
addition(c(X_8),addition(domain(X_8),X_223)) = addition(one,X_223),
inference(resolve,[$cnf( $equal(addition(c(X_8),addition(domain(X_8),X_223)),addition(addition(c(X_8),domain(X_8)),X_223)) )],[refute_0_775,refute_0_792]) ).
cnf(refute_0_794,plain,
addition(c(X_225),addition(domain(X_225),domain(X_225))) = addition(one,domain(X_225)),
inference(subst,[],[refute_0_793:[bind(X_223,$fot(domain(X_225))),bind(X_8,$fot(X_225))]]) ).
cnf(refute_0_795,plain,
addition(domain(X_225),domain(X_225)) = domain(X_225),
inference(subst,[],[refute_0_74:[bind(A,$fot(domain(X_225)))]]) ).
cnf(refute_0_796,plain,
( addition(c(X_225),addition(domain(X_225),domain(X_225))) != addition(one,domain(X_225))
| addition(domain(X_225),domain(X_225)) != domain(X_225)
| addition(c(X_225),domain(X_225)) = addition(one,domain(X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_225),addition(domain(X_225),domain(X_225))),addition(one,domain(X_225))) ),[0,1],$fot(domain(X_225))]]) ).
cnf(refute_0_797,plain,
( addition(c(X_225),addition(domain(X_225),domain(X_225))) != addition(one,domain(X_225))
| addition(c(X_225),domain(X_225)) = addition(one,domain(X_225)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_225),domain(X_225)),domain(X_225)) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
addition(c(X_225),domain(X_225)) = addition(one,domain(X_225)),
inference(resolve,[$cnf( $equal(addition(c(X_225),addition(domain(X_225),domain(X_225))),addition(one,domain(X_225))) )],[refute_0_794,refute_0_797]) ).
cnf(refute_0_799,plain,
addition(c(X_225),domain(X_225)) = one,
inference(subst,[],[refute_0_790:[bind(X_8,$fot(X_225))]]) ).
cnf(refute_0_800,plain,
( addition(c(X_225),domain(X_225)) != addition(one,domain(X_225))
| addition(c(X_225),domain(X_225)) != one
| one = addition(one,domain(X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_225),domain(X_225)),addition(one,domain(X_225))) ),[0],$fot(one)]]) ).
cnf(refute_0_801,plain,
( addition(c(X_225),domain(X_225)) != addition(one,domain(X_225))
| one = addition(one,domain(X_225)) ),
inference(resolve,[$cnf( $equal(addition(c(X_225),domain(X_225)),one) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
one = addition(one,domain(X_225)),
inference(resolve,[$cnf( $equal(addition(c(X_225),domain(X_225)),addition(one,domain(X_225))) )],[refute_0_798,refute_0_801]) ).
cnf(refute_0_803,plain,
( one != addition(one,domain(X_225))
| addition(one,domain(X_225)) = one ),
inference(subst,[],[refute_0_40:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_225))))]]) ).
cnf(refute_0_804,plain,
addition(one,domain(X_225)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,domain(X_225))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
( addition(one,domain(X_225)) != one
| multiplication(X_252,addition(one,domain(X_225))) != addition(X_252,multiplication(X_252,domain(X_225)))
| multiplication(X_252,one) = addition(X_252,multiplication(X_252,domain(X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_252,addition(one,domain(X_225))),addition(X_252,multiplication(X_252,domain(X_225)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_806,plain,
( multiplication(X_252,addition(one,domain(X_225))) != addition(X_252,multiplication(X_252,domain(X_225)))
| multiplication(X_252,one) = addition(X_252,multiplication(X_252,domain(X_225))) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_225)),one) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
multiplication(X_252,one) = addition(X_252,multiplication(X_252,domain(X_225))),
inference(resolve,[$cnf( $equal(multiplication(X_252,addition(one,domain(X_225))),addition(X_252,multiplication(X_252,domain(X_225)))) )],[refute_0_774,refute_0_806]) ).
cnf(refute_0_808,plain,
multiplication(X_252,one) = X_252,
inference(subst,[],[refute_0_60:[bind(A,$fot(X_252))]]) ).
cnf(refute_0_809,plain,
( multiplication(X_252,one) != X_252
| multiplication(X_252,one) != addition(X_252,multiplication(X_252,domain(X_225)))
| X_252 = addition(X_252,multiplication(X_252,domain(X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_252,one),addition(X_252,multiplication(X_252,domain(X_225)))) ),[0],$fot(X_252)]]) ).
cnf(refute_0_810,plain,
( multiplication(X_252,one) != addition(X_252,multiplication(X_252,domain(X_225)))
| X_252 = addition(X_252,multiplication(X_252,domain(X_225))) ),
inference(resolve,[$cnf( $equal(multiplication(X_252,one),X_252) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
X_252 = addition(X_252,multiplication(X_252,domain(X_225))),
inference(resolve,[$cnf( $equal(multiplication(X_252,one),addition(X_252,multiplication(X_252,domain(X_225)))) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
domain(domain(X_225)) = addition(domain(domain(X_225)),multiplication(domain(domain(X_225)),domain(X_225))),
inference(subst,[],[refute_0_811:[bind(X_252,$fot(domain(domain(X_225))))]]) ).
cnf(refute_0_813,plain,
domain(X_225) = multiplication(domain(domain(X_225)),domain(X_225)),
inference(subst,[],[refute_0_149:[bind(X_505,$fot(domain(X_225)))]]) ).
cnf(refute_0_814,plain,
( domain(X_225) != multiplication(domain(domain(X_225)),domain(X_225))
| multiplication(domain(domain(X_225)),domain(X_225)) = domain(X_225) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(X_225))),bind(Y,$fot(multiplication(domain(domain(X_225)),domain(X_225))))]]) ).
cnf(refute_0_815,plain,
multiplication(domain(domain(X_225)),domain(X_225)) = domain(X_225),
inference(resolve,[$cnf( $equal(domain(X_225),multiplication(domain(domain(X_225)),domain(X_225))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
( domain(domain(X_225)) != addition(domain(domain(X_225)),multiplication(domain(domain(X_225)),domain(X_225)))
| multiplication(domain(domain(X_225)),domain(X_225)) != domain(X_225)
| domain(domain(X_225)) = addition(domain(domain(X_225)),domain(X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_225)),addition(domain(domain(X_225)),multiplication(domain(domain(X_225)),domain(X_225)))) ),[1,1],$fot(domain(X_225))]]) ).
cnf(refute_0_817,plain,
( domain(domain(X_225)) != addition(domain(domain(X_225)),multiplication(domain(domain(X_225)),domain(X_225)))
| domain(domain(X_225)) = addition(domain(domain(X_225)),domain(X_225)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_225)),domain(X_225)),domain(X_225)) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
domain(domain(X_225)) = addition(domain(domain(X_225)),domain(X_225)),
inference(resolve,[$cnf( $equal(domain(domain(X_225)),addition(domain(domain(X_225)),multiplication(domain(domain(X_225)),domain(X_225)))) )],[refute_0_812,refute_0_817]) ).
cnf(refute_0_819,plain,
domain(domain(X_225)) = antidomain(c(X_225)),
inference(subst,[],[refute_0_188:[bind(X0,$fot(X_225))]]) ).
cnf(refute_0_820,plain,
( domain(domain(X_225)) != addition(domain(domain(X_225)),domain(X_225))
| domain(domain(X_225)) != antidomain(c(X_225))
| antidomain(c(X_225)) = addition(domain(domain(X_225)),domain(X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_225)),addition(domain(domain(X_225)),domain(X_225))) ),[0],$fot(antidomain(c(X_225)))]]) ).
cnf(refute_0_821,plain,
( domain(domain(X_225)) != addition(domain(domain(X_225)),domain(X_225))
| antidomain(c(X_225)) = addition(domain(domain(X_225)),domain(X_225)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_225)),antidomain(c(X_225))) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
addition(domain(X_225),domain(domain(X_225))) = addition(domain(X_225),domain(domain(X_225))),
introduced(tautology,[refl,[$fot(addition(domain(X_225),domain(domain(X_225))))]]) ).
cnf(refute_0_823,plain,
( addition(domain(X_225),domain(domain(X_225))) != addition(domain(X_225),domain(domain(X_225)))
| domain(domain(X_225)) != antidomain(c(X_225))
| addition(domain(X_225),domain(domain(X_225))) = addition(domain(X_225),antidomain(c(X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_225),domain(domain(X_225))),addition(domain(X_225),domain(domain(X_225)))) ),[1,1],$fot(antidomain(c(X_225)))]]) ).
cnf(refute_0_824,plain,
( domain(domain(X_225)) != antidomain(c(X_225))
| addition(domain(X_225),domain(domain(X_225))) = addition(domain(X_225),antidomain(c(X_225))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_225),domain(domain(X_225))),addition(domain(X_225),domain(domain(X_225)))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
addition(domain(X_225),domain(domain(X_225))) = addition(domain(X_225),antidomain(c(X_225))),
inference(resolve,[$cnf( $equal(domain(domain(X_225)),antidomain(c(X_225))) )],[refute_0_819,refute_0_824]) ).
cnf(refute_0_826,plain,
addition(domain(domain(X_225)),domain(X_225)) = addition(domain(X_225),domain(domain(X_225))),
inference(subst,[],[refute_0_625:[bind(X_155,$fot(domain(X_225))),bind(X_156,$fot(domain(domain(X_225))))]]) ).
cnf(refute_0_827,plain,
( addition(domain(X_225),domain(domain(X_225))) != addition(domain(X_225),antidomain(c(X_225)))
| addition(domain(domain(X_225)),domain(X_225)) != addition(domain(X_225),domain(domain(X_225)))
| addition(domain(domain(X_225)),domain(X_225)) = addition(domain(X_225),antidomain(c(X_225))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(domain(domain(X_225)),domain(X_225)))),bind(Y,$fot(addition(domain(X_225),domain(domain(X_225))))),bind(Z,$fot(addition(domain(X_225),antidomain(c(X_225)))))]]) ).
cnf(refute_0_828,plain,
( addition(domain(X_225),domain(domain(X_225))) != addition(domain(X_225),antidomain(c(X_225)))
| addition(domain(domain(X_225)),domain(X_225)) = addition(domain(X_225),antidomain(c(X_225))) ),
inference(resolve,[$cnf( $equal(addition(domain(domain(X_225)),domain(X_225)),addition(domain(X_225),domain(domain(X_225)))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
addition(domain(domain(X_225)),domain(X_225)) = addition(domain(X_225),antidomain(c(X_225))),
inference(resolve,[$cnf( $equal(addition(domain(X_225),domain(domain(X_225))),addition(domain(X_225),antidomain(c(X_225)))) )],[refute_0_825,refute_0_828]) ).
cnf(refute_0_830,plain,
( addition(domain(domain(X_225)),domain(X_225)) != addition(domain(X_225),antidomain(c(X_225)))
| antidomain(c(X_225)) != addition(domain(domain(X_225)),domain(X_225))
| antidomain(c(X_225)) = addition(domain(X_225),antidomain(c(X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_225)),addition(domain(domain(X_225)),domain(X_225))) ),[1],$fot(addition(domain(X_225),antidomain(c(X_225))))]]) ).
cnf(refute_0_831,plain,
( antidomain(c(X_225)) != addition(domain(domain(X_225)),domain(X_225))
| antidomain(c(X_225)) = addition(domain(X_225),antidomain(c(X_225))) ),
inference(resolve,[$cnf( $equal(addition(domain(domain(X_225)),domain(X_225)),addition(domain(X_225),antidomain(c(X_225)))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
( domain(domain(X_225)) != addition(domain(domain(X_225)),domain(X_225))
| antidomain(c(X_225)) = addition(domain(X_225),antidomain(c(X_225))) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_225)),addition(domain(domain(X_225)),domain(X_225))) )],[refute_0_821,refute_0_831]) ).
cnf(refute_0_833,plain,
antidomain(c(X_225)) = addition(domain(X_225),antidomain(c(X_225))),
inference(resolve,[$cnf( $equal(domain(domain(X_225)),addition(domain(domain(X_225)),domain(X_225))) )],[refute_0_818,refute_0_832]) ).
cnf(refute_0_834,plain,
antidomain(c(X0)) = addition(domain(X0),antidomain(c(X0))),
inference(subst,[],[refute_0_833:[bind(X_225,$fot(X0))]]) ).
cnf(refute_0_835,plain,
( antidomain(c(X0)) != addition(domain(X0),antidomain(c(X0)))
| addition(domain(X0),antidomain(c(X0))) = antidomain(c(X0)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(antidomain(c(X0)))),bind(Y,$fot(addition(domain(X0),antidomain(c(X0)))))]]) ).
cnf(refute_0_836,plain,
addition(domain(X0),antidomain(c(X0))) = antidomain(c(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),addition(domain(X0),antidomain(c(X0)))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
( addition(antidomain(X0),addition(domain(X0),antidomain(c(X0)))) != addition(one,antidomain(c(X0)))
| addition(domain(X0),antidomain(c(X0))) != antidomain(c(X0))
| addition(antidomain(X0),antidomain(c(X0))) = addition(one,antidomain(c(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),antidomain(c(X0)))),addition(one,antidomain(c(X0)))) ),[0,1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_838,plain,
( addition(antidomain(X0),addition(domain(X0),antidomain(c(X0)))) != addition(one,antidomain(c(X0)))
| addition(antidomain(X0),antidomain(c(X0))) = addition(one,antidomain(c(X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),antidomain(c(X0))),antidomain(c(X0))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
addition(antidomain(X0),antidomain(c(X0))) = addition(one,antidomain(c(X0))),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),antidomain(c(X0)))),addition(one,antidomain(c(X0)))) )],[refute_0_773,refute_0_838]) ).
cnf(refute_0_840,plain,
addition(one,antidomain(c(X0))) = one,
inference(subst,[],[refute_0_104:[bind(X0,$fot(c(X0)))]]) ).
cnf(refute_0_841,plain,
( addition(antidomain(X0),antidomain(c(X0))) != addition(one,antidomain(c(X0)))
| addition(one,antidomain(c(X0))) != one
| addition(antidomain(X0),antidomain(c(X0))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X0),antidomain(c(X0))),one) ),[0],$fot(addition(one,antidomain(c(X0))))]]) ).
cnf(refute_0_842,plain,
( addition(antidomain(X0),antidomain(c(X0))) != addition(one,antidomain(c(X0)))
| addition(antidomain(X0),antidomain(c(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(c(X0))),one) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
addition(antidomain(X0),antidomain(c(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(c(X0))),addition(one,antidomain(c(X0)))) )],[refute_0_839,refute_0_842]) ).
cnf(refute_0_844,plain,
addition(antidomain(X_157),antidomain(c(X_157))) = one,
inference(subst,[],[refute_0_843:[bind(X0,$fot(X_157))]]) ).
cnf(refute_0_845,plain,
( addition(antidomain(X_157),antidomain(c(X_157))) != one
| multiplication(addition(antidomain(X_157),antidomain(c(X_157))),X_157) != multiplication(antidomain(c(X_157)),X_157)
| multiplication(one,X_157) = multiplication(antidomain(c(X_157)),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_157),antidomain(c(X_157))),X_157),multiplication(antidomain(c(X_157)),X_157)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_846,plain,
( multiplication(addition(antidomain(X_157),antidomain(c(X_157))),X_157) != multiplication(antidomain(c(X_157)),X_157)
| multiplication(one,X_157) = multiplication(antidomain(c(X_157)),X_157) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_157),antidomain(c(X_157))),one) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
multiplication(one,X_157) = multiplication(antidomain(c(X_157)),X_157),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_157),antidomain(c(X_157))),X_157),multiplication(antidomain(c(X_157)),X_157)) )],[refute_0_768,refute_0_846]) ).
cnf(refute_0_848,plain,
( multiplication(one,X_157) != X_157
| multiplication(one,X_157) != multiplication(antidomain(c(X_157)),X_157)
| X_157 = multiplication(antidomain(c(X_157)),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_157),multiplication(antidomain(c(X_157)),X_157)) ),[0],$fot(X_157)]]) ).
cnf(refute_0_849,plain,
( multiplication(one,X_157) != multiplication(antidomain(c(X_157)),X_157)
| X_157 = multiplication(antidomain(c(X_157)),X_157) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_157),X_157) )],[refute_0_21,refute_0_848]) ).
cnf(refute_0_850,plain,
X_157 = multiplication(antidomain(c(X_157)),X_157),
inference(resolve,[$cnf( $equal(multiplication(one,X_157),multiplication(antidomain(c(X_157)),X_157)) )],[refute_0_847,refute_0_849]) ).
cnf(refute_0_851,plain,
domain(backward_diamond(X_94,c(X_95))) = multiplication(antidomain(c(domain(backward_diamond(X_94,c(X_95))))),domain(backward_diamond(X_94,c(X_95)))),
inference(subst,[],[refute_0_850:[bind(X_157,$fot(domain(backward_diamond(X_94,c(X_95)))))]]) ).
cnf(refute_0_852,plain,
domain(antidomain(domain(X_11))) = c(domain(X_11)),
inference(subst,[],[refute_0_169:[bind(X_8,$fot(domain(X_11)))]]) ).
cnf(refute_0_853,plain,
( antidomain(domain(X_11)) != c(X_11)
| domain(antidomain(domain(X_11))) != c(domain(X_11))
| domain(c(X_11)) = c(domain(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(domain(X_11))),c(domain(X_11))) ),[0,0],$fot(c(X_11))]]) ).
cnf(refute_0_854,plain,
( domain(antidomain(domain(X_11))) != c(domain(X_11))
| domain(c(X_11)) = c(domain(X_11)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_11)),c(X_11)) )],[refute_0_177,refute_0_853]) ).
cnf(refute_0_855,plain,
domain(c(X_11)) = c(domain(X_11)),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_11))),c(domain(X_11))) )],[refute_0_852,refute_0_854]) ).
cnf(refute_0_856,plain,
domain(c(backward_diamond(X_94,c(X_95)))) = c(domain(backward_diamond(X_94,c(X_95)))),
inference(subst,[],[refute_0_855:[bind(X_11,$fot(backward_diamond(X_94,c(X_95))))]]) ).
cnf(refute_0_857,plain,
backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_858,plain,
backward_box(X_94,X_95) = c(backward_diamond(X_94,c(X_95))),
inference(subst,[],[refute_0_857:[bind(X0,$fot(X_94)),bind(X1,$fot(X_95))]]) ).
cnf(refute_0_859,plain,
( backward_box(X_94,X_95) != c(backward_diamond(X_94,c(X_95)))
| c(backward_diamond(X_94,c(X_95))) = backward_box(X_94,X_95) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(backward_box(X_94,X_95))),bind(Y,$fot(c(backward_diamond(X_94,c(X_95)))))]]) ).
cnf(refute_0_860,plain,
c(backward_diamond(X_94,c(X_95))) = backward_box(X_94,X_95),
inference(resolve,[$cnf( $equal(backward_box(X_94,X_95),c(backward_diamond(X_94,c(X_95)))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
( c(backward_diamond(X_94,c(X_95))) != backward_box(X_94,X_95)
| domain(c(backward_diamond(X_94,c(X_95)))) != c(domain(backward_diamond(X_94,c(X_95))))
| domain(backward_box(X_94,X_95)) = c(domain(backward_diamond(X_94,c(X_95)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(c(backward_diamond(X_94,c(X_95)))),c(domain(backward_diamond(X_94,c(X_95))))) ),[0,0],$fot(backward_box(X_94,X_95))]]) ).
cnf(refute_0_862,plain,
( domain(c(backward_diamond(X_94,c(X_95)))) != c(domain(backward_diamond(X_94,c(X_95))))
| domain(backward_box(X_94,X_95)) = c(domain(backward_diamond(X_94,c(X_95)))) ),
inference(resolve,[$cnf( $equal(c(backward_diamond(X_94,c(X_95))),backward_box(X_94,X_95)) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
domain(backward_box(X_94,X_95)) = c(domain(backward_diamond(X_94,c(X_95)))),
inference(resolve,[$cnf( $equal(domain(c(backward_diamond(X_94,c(X_95)))),c(domain(backward_diamond(X_94,c(X_95))))) )],[refute_0_856,refute_0_862]) ).
cnf(refute_0_864,plain,
( domain(backward_box(X_94,X_95)) != c(domain(backward_diamond(X_94,c(X_95))))
| c(domain(backward_diamond(X_94,c(X_95)))) = domain(backward_box(X_94,X_95)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(backward_box(X_94,X_95)))),bind(Y,$fot(c(domain(backward_diamond(X_94,c(X_95))))))]]) ).
cnf(refute_0_865,plain,
c(domain(backward_diamond(X_94,c(X_95)))) = domain(backward_box(X_94,X_95)),
inference(resolve,[$cnf( $equal(domain(backward_box(X_94,X_95)),c(domain(backward_diamond(X_94,c(X_95))))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
( c(domain(backward_diamond(X_94,c(X_95)))) != domain(backward_box(X_94,X_95))
| domain(backward_diamond(X_94,c(X_95))) != multiplication(antidomain(c(domain(backward_diamond(X_94,c(X_95))))),domain(backward_diamond(X_94,c(X_95))))
| domain(backward_diamond(X_94,c(X_95))) = multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(backward_diamond(X_94,c(X_95))),multiplication(antidomain(c(domain(backward_diamond(X_94,c(X_95))))),domain(backward_diamond(X_94,c(X_95))))) ),[1,0,0],$fot(domain(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_867,plain,
( domain(backward_diamond(X_94,c(X_95))) != multiplication(antidomain(c(domain(backward_diamond(X_94,c(X_95))))),domain(backward_diamond(X_94,c(X_95))))
| domain(backward_diamond(X_94,c(X_95))) = multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) ),
inference(resolve,[$cnf( $equal(c(domain(backward_diamond(X_94,c(X_95)))),domain(backward_box(X_94,X_95))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
domain(backward_diamond(X_94,c(X_95))) = multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))),
inference(resolve,[$cnf( $equal(domain(backward_diamond(X_94,c(X_95))),multiplication(antidomain(c(domain(backward_diamond(X_94,c(X_95))))),domain(backward_diamond(X_94,c(X_95))))) )],[refute_0_851,refute_0_867]) ).
cnf(refute_0_869,plain,
domain_difference(X_31,antidomain(X0)) = multiplication(domain(X_31),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X_31)),bind(X1,$fot(antidomain(X0)))]]) ).
cnf(refute_0_870,plain,
( antidomain(antidomain(X0)) != domain(X0)
| domain_difference(X_31,antidomain(X0)) != multiplication(domain(X_31),antidomain(antidomain(X0)))
| domain_difference(X_31,antidomain(X0)) = multiplication(domain(X_31),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X_31,antidomain(X0)),multiplication(domain(X_31),antidomain(antidomain(X0)))) ),[1,1],$fot(domain(X0))]]) ).
cnf(refute_0_871,plain,
( domain_difference(X_31,antidomain(X0)) != multiplication(domain(X_31),antidomain(antidomain(X0)))
| domain_difference(X_31,antidomain(X0)) = multiplication(domain(X_31),domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_87,refute_0_870]) ).
cnf(refute_0_872,plain,
domain_difference(X_31,antidomain(X0)) = multiplication(domain(X_31),domain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_31,antidomain(X0)),multiplication(domain(X_31),antidomain(antidomain(X0)))) )],[refute_0_869,refute_0_871]) ).
cnf(refute_0_873,plain,
domain_difference(antidomain(X_8),antidomain(X_69)) = multiplication(domain(antidomain(X_8)),domain(X_69)),
inference(subst,[],[refute_0_872:[bind(X0,$fot(X_69)),bind(X_31,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_874,plain,
( domain(antidomain(X_8)) != c(X_8)
| domain_difference(antidomain(X_8),antidomain(X_69)) != multiplication(domain(antidomain(X_8)),domain(X_69))
| domain_difference(antidomain(X_8),antidomain(X_69)) = multiplication(c(X_8),domain(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(X_8),antidomain(X_69)),multiplication(domain(antidomain(X_8)),domain(X_69))) ),[1,0],$fot(c(X_8))]]) ).
cnf(refute_0_875,plain,
( domain_difference(antidomain(X_8),antidomain(X_69)) != multiplication(domain(antidomain(X_8)),domain(X_69))
| domain_difference(antidomain(X_8),antidomain(X_69)) = multiplication(c(X_8),domain(X_69)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) )],[refute_0_169,refute_0_874]) ).
cnf(refute_0_876,plain,
domain_difference(antidomain(X_8),antidomain(X_69)) = multiplication(c(X_8),domain(X_69)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_8),antidomain(X_69)),multiplication(domain(antidomain(X_8)),domain(X_69))) )],[refute_0_873,refute_0_875]) ).
cnf(refute_0_877,plain,
( domain_difference(antidomain(X_8),antidomain(X_69)) != multiplication(c(X_8),domain(X_69))
| multiplication(c(X_8),domain(X_69)) = domain_difference(antidomain(X_8),antidomain(X_69)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain_difference(antidomain(X_8),antidomain(X_69)))),bind(Y,$fot(multiplication(c(X_8),domain(X_69))))]]) ).
cnf(refute_0_878,plain,
multiplication(c(X_8),domain(X_69)) = domain_difference(antidomain(X_8),antidomain(X_69)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_8),antidomain(X_69)),multiplication(c(X_8),domain(X_69))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95)))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))),
inference(subst,[],[refute_0_878:[bind(X_69,$fot(backward_diamond(X_94,c(X_95)))),bind(X_8,$fot(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_880,plain,
antidomain(domain(backward_box(X_94,X_95))) = c(backward_box(X_94,X_95)),
inference(subst,[],[refute_0_165:[bind(X0,$fot(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_881,plain,
multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) = multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))))]]) ).
cnf(refute_0_882,plain,
( antidomain(domain(backward_box(X_94,X_95))) != c(backward_box(X_94,X_95))
| multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) != multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95))))
| multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) = multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))),multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95))))) ),[1,0],$fot(c(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_883,plain,
( antidomain(domain(backward_box(X_94,X_95))) != c(backward_box(X_94,X_95))
| multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) = multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95)))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))),multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95))))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) = multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95)))),
inference(resolve,[$cnf( $equal(antidomain(domain(backward_box(X_94,X_95))),c(backward_box(X_94,X_95))) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
( multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) != multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95))))
| multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95)))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))))),bind(Y,$fot(multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95)))))),bind(Z,$fot(domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))))]]) ).
cnf(refute_0_886,plain,
( multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95)))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))),multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95))))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))),
inference(resolve,[$cnf( $equal(multiplication(c(backward_box(X_94,X_95)),domain(backward_diamond(X_94,c(X_95)))),domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))) )],[refute_0_879,refute_0_886]) ).
cnf(refute_0_888,plain,
( domain(backward_diamond(X_94,c(X_95))) != multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95))))
| multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| domain(backward_diamond(X_94,c(X_95))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(backward_diamond(X_94,c(X_95))),domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))) ),[0],$fot(multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))))]]) ).
cnf(refute_0_889,plain,
( domain(backward_diamond(X_94,c(X_95))) != multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95))))
| domain(backward_diamond(X_94,c(X_95))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95)))),domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
domain(backward_diamond(X_94,c(X_95))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))),
inference(resolve,[$cnf( $equal(domain(backward_diamond(X_94,c(X_95))),multiplication(antidomain(domain(backward_box(X_94,X_95))),domain(backward_diamond(X_94,c(X_95))))) )],[refute_0_868,refute_0_889]) ).
cnf(refute_0_891,plain,
c(X_95) = antidomain(X_95),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_95))]]) ).
cnf(refute_0_892,plain,
backward_diamond(X_94,c(X_95)) = backward_diamond(X_94,c(X_95)),
introduced(tautology,[refl,[$fot(backward_diamond(X_94,c(X_95)))]]) ).
cnf(refute_0_893,plain,
( backward_diamond(X_94,c(X_95)) != backward_diamond(X_94,c(X_95))
| c(X_95) != antidomain(X_95)
| backward_diamond(X_94,c(X_95)) = backward_diamond(X_94,antidomain(X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(backward_diamond(X_94,c(X_95)),backward_diamond(X_94,c(X_95))) ),[1,1],$fot(antidomain(X_95))]]) ).
cnf(refute_0_894,plain,
( c(X_95) != antidomain(X_95)
| backward_diamond(X_94,c(X_95)) = backward_diamond(X_94,antidomain(X_95)) ),
inference(resolve,[$cnf( $equal(backward_diamond(X_94,c(X_95)),backward_diamond(X_94,c(X_95))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
backward_diamond(X_94,c(X_95)) = backward_diamond(X_94,antidomain(X_95)),
inference(resolve,[$cnf( $equal(c(X_95),antidomain(X_95)) )],[refute_0_891,refute_0_894]) ).
cnf(refute_0_896,plain,
domain(backward_diamond(X_94,c(X_95))) = domain(backward_diamond(X_94,c(X_95))),
introduced(tautology,[refl,[$fot(domain(backward_diamond(X_94,c(X_95))))]]) ).
cnf(refute_0_897,plain,
( backward_diamond(X_94,c(X_95)) != backward_diamond(X_94,antidomain(X_95))
| domain(backward_diamond(X_94,c(X_95))) != domain(backward_diamond(X_94,c(X_95)))
| domain(backward_diamond(X_94,c(X_95))) = domain(backward_diamond(X_94,antidomain(X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(backward_diamond(X_94,c(X_95))),domain(backward_diamond(X_94,c(X_95)))) ),[1,0],$fot(backward_diamond(X_94,antidomain(X_95)))]]) ).
cnf(refute_0_898,plain,
( backward_diamond(X_94,c(X_95)) != backward_diamond(X_94,antidomain(X_95))
| domain(backward_diamond(X_94,c(X_95))) = domain(backward_diamond(X_94,antidomain(X_95))) ),
inference(resolve,[$cnf( $equal(domain(backward_diamond(X_94,c(X_95))),domain(backward_diamond(X_94,c(X_95)))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
domain(backward_diamond(X_94,c(X_95))) = domain(backward_diamond(X_94,antidomain(X_95))),
inference(resolve,[$cnf( $equal(backward_diamond(X_94,c(X_95)),backward_diamond(X_94,antidomain(X_95))) )],[refute_0_895,refute_0_898]) ).
cnf(refute_0_900,plain,
( domain(backward_diamond(X_94,c(X_95))) != domain(backward_diamond(X_94,antidomain(X_95)))
| domain(backward_diamond(X_94,c(X_95))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| domain(backward_diamond(X_94,antidomain(X_95))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(backward_diamond(X_94,c(X_95))),domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))) ),[0],$fot(domain(backward_diamond(X_94,antidomain(X_95))))]]) ).
cnf(refute_0_901,plain,
( domain(backward_diamond(X_94,c(X_95))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| domain(backward_diamond(X_94,antidomain(X_95))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) ),
inference(resolve,[$cnf( $equal(domain(backward_diamond(X_94,c(X_95))),domain(backward_diamond(X_94,antidomain(X_95)))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) = antidomain(backward_box(X_94,X_95)),
inference(subst,[],[refute_0_249:[bind(X1,$fot(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_903,plain,
backward_diamond(X0,c(X1)) = backward_diamond(X0,c(X1)),
introduced(tautology,[refl,[$fot(backward_diamond(X0,c(X1)))]]) ).
cnf(refute_0_904,plain,
( backward_diamond(X0,c(X1)) != backward_diamond(X0,c(X1))
| c(X1) != antidomain(X1)
| backward_diamond(X0,c(X1)) = backward_diamond(X0,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(backward_diamond(X0,c(X1)),backward_diamond(X0,c(X1))) ),[1,1],$fot(antidomain(X1))]]) ).
cnf(refute_0_905,plain,
( c(X1) != antidomain(X1)
| backward_diamond(X0,c(X1)) = backward_diamond(X0,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(backward_diamond(X0,c(X1)),backward_diamond(X0,c(X1))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
backward_diamond(X0,c(X1)) = backward_diamond(X0,antidomain(X1)),
inference(resolve,[$cnf( $equal(c(X1),antidomain(X1)) )],[refute_0_279,refute_0_905]) ).
cnf(refute_0_907,plain,
antidomain(backward_diamond(X0,c(X1))) = antidomain(backward_diamond(X0,c(X1))),
introduced(tautology,[refl,[$fot(antidomain(backward_diamond(X0,c(X1))))]]) ).
cnf(refute_0_908,plain,
( antidomain(backward_diamond(X0,c(X1))) != antidomain(backward_diamond(X0,c(X1)))
| backward_diamond(X0,c(X1)) != backward_diamond(X0,antidomain(X1))
| antidomain(backward_diamond(X0,c(X1))) = antidomain(backward_diamond(X0,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(backward_diamond(X0,c(X1))),antidomain(backward_diamond(X0,c(X1)))) ),[1,0],$fot(backward_diamond(X0,antidomain(X1)))]]) ).
cnf(refute_0_909,plain,
( backward_diamond(X0,c(X1)) != backward_diamond(X0,antidomain(X1))
| antidomain(backward_diamond(X0,c(X1))) = antidomain(backward_diamond(X0,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(backward_diamond(X0,c(X1))),antidomain(backward_diamond(X0,c(X1)))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
antidomain(backward_diamond(X0,c(X1))) = antidomain(backward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(backward_diamond(X0,c(X1)),backward_diamond(X0,antidomain(X1))) )],[refute_0_906,refute_0_909]) ).
cnf(refute_0_911,plain,
c(backward_diamond(X0,c(X1))) = antidomain(backward_diamond(X0,c(X1))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(backward_diamond(X0,c(X1))))]]) ).
cnf(refute_0_912,plain,
( antidomain(backward_diamond(X0,c(X1))) != antidomain(backward_diamond(X0,antidomain(X1)))
| c(backward_diamond(X0,c(X1))) != antidomain(backward_diamond(X0,c(X1)))
| c(backward_diamond(X0,c(X1))) = antidomain(backward_diamond(X0,antidomain(X1))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(backward_diamond(X0,c(X1))))),bind(Y,$fot(antidomain(backward_diamond(X0,c(X1))))),bind(Z,$fot(antidomain(backward_diamond(X0,antidomain(X1)))))]]) ).
cnf(refute_0_913,plain,
( antidomain(backward_diamond(X0,c(X1))) != antidomain(backward_diamond(X0,antidomain(X1)))
| c(backward_diamond(X0,c(X1))) = antidomain(backward_diamond(X0,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(c(backward_diamond(X0,c(X1))),antidomain(backward_diamond(X0,c(X1)))) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
c(backward_diamond(X0,c(X1))) = antidomain(backward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(antidomain(backward_diamond(X0,c(X1))),antidomain(backward_diamond(X0,antidomain(X1)))) )],[refute_0_910,refute_0_913]) ).
cnf(refute_0_915,plain,
( backward_box(X0,X1) != c(backward_diamond(X0,c(X1)))
| c(backward_diamond(X0,c(X1))) != antidomain(backward_diamond(X0,antidomain(X1)))
| backward_box(X0,X1) = antidomain(backward_diamond(X0,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(backward_box(X0,X1),antidomain(backward_diamond(X0,antidomain(X1)))) ),[0],$fot(c(backward_diamond(X0,c(X1))))]]) ).
cnf(refute_0_916,plain,
( backward_box(X0,X1) != c(backward_diamond(X0,c(X1)))
| backward_box(X0,X1) = antidomain(backward_diamond(X0,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(c(backward_diamond(X0,c(X1))),antidomain(backward_diamond(X0,antidomain(X1)))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
backward_box(X0,X1) = antidomain(backward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(backward_box(X0,X1),c(backward_diamond(X0,c(X1)))) )],[refute_0_857,refute_0_916]) ).
cnf(refute_0_918,plain,
( backward_box(X0,X1) != antidomain(backward_diamond(X0,antidomain(X1)))
| antidomain(backward_diamond(X0,antidomain(X1))) = backward_box(X0,X1) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(backward_box(X0,X1))),bind(Y,$fot(antidomain(backward_diamond(X0,antidomain(X1)))))]]) ).
cnf(refute_0_919,plain,
antidomain(backward_diamond(X0,antidomain(X1))) = backward_box(X0,X1),
inference(resolve,[$cnf( $equal(backward_box(X0,X1),antidomain(backward_diamond(X0,antidomain(X1)))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
antidomain(backward_diamond(X_94,antidomain(X_95))) = backward_box(X_94,X_95),
inference(subst,[],[refute_0_919:[bind(X0,$fot(X_94)),bind(X1,$fot(X_95))]]) ).
cnf(refute_0_921,plain,
antidomain(backward_diamond(X_94,c(X_95))) = antidomain(backward_diamond(X_94,c(X_95))),
introduced(tautology,[refl,[$fot(antidomain(backward_diamond(X_94,c(X_95))))]]) ).
cnf(refute_0_922,plain,
( antidomain(backward_diamond(X_94,c(X_95))) != antidomain(backward_diamond(X_94,c(X_95)))
| backward_diamond(X_94,c(X_95)) != backward_diamond(X_94,antidomain(X_95))
| antidomain(backward_diamond(X_94,c(X_95))) = antidomain(backward_diamond(X_94,antidomain(X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(backward_diamond(X_94,c(X_95))),antidomain(backward_diamond(X_94,c(X_95)))) ),[1,0],$fot(backward_diamond(X_94,antidomain(X_95)))]]) ).
cnf(refute_0_923,plain,
( backward_diamond(X_94,c(X_95)) != backward_diamond(X_94,antidomain(X_95))
| antidomain(backward_diamond(X_94,c(X_95))) = antidomain(backward_diamond(X_94,antidomain(X_95))) ),
inference(resolve,[$cnf( $equal(antidomain(backward_diamond(X_94,c(X_95))),antidomain(backward_diamond(X_94,c(X_95)))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
antidomain(backward_diamond(X_94,c(X_95))) = antidomain(backward_diamond(X_94,antidomain(X_95))),
inference(resolve,[$cnf( $equal(backward_diamond(X_94,c(X_95)),backward_diamond(X_94,antidomain(X_95))) )],[refute_0_895,refute_0_923]) ).
cnf(refute_0_925,plain,
( antidomain(backward_diamond(X_94,antidomain(X_95))) != backward_box(X_94,X_95)
| antidomain(backward_diamond(X_94,c(X_95))) != antidomain(backward_diamond(X_94,antidomain(X_95)))
| antidomain(backward_diamond(X_94,c(X_95))) = backward_box(X_94,X_95) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(backward_diamond(X_94,c(X_95))))),bind(Y,$fot(antidomain(backward_diamond(X_94,antidomain(X_95))))),bind(Z,$fot(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_926,plain,
( antidomain(backward_diamond(X_94,antidomain(X_95))) != backward_box(X_94,X_95)
| antidomain(backward_diamond(X_94,c(X_95))) = backward_box(X_94,X_95) ),
inference(resolve,[$cnf( $equal(antidomain(backward_diamond(X_94,c(X_95))),antidomain(backward_diamond(X_94,antidomain(X_95)))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
antidomain(backward_diamond(X_94,c(X_95))) = backward_box(X_94,X_95),
inference(resolve,[$cnf( $equal(antidomain(backward_diamond(X_94,antidomain(X_95))),backward_box(X_94,X_95)) )],[refute_0_920,refute_0_926]) ).
cnf(refute_0_928,plain,
domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) = domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))),
introduced(tautology,[refl,[$fot(domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))))]]) ).
cnf(refute_0_929,plain,
( antidomain(backward_diamond(X_94,c(X_95))) != backward_box(X_94,X_95)
| domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) = domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))),domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))) ),[1,1],$fot(backward_box(X_94,X_95))]]) ).
cnf(refute_0_930,plain,
( antidomain(backward_diamond(X_94,c(X_95))) != backward_box(X_94,X_95)
| domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) = domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))),domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) = domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95)),
inference(resolve,[$cnf( $equal(antidomain(backward_diamond(X_94,c(X_95))),backward_box(X_94,X_95)) )],[refute_0_927,refute_0_930]) ).
cnf(refute_0_932,plain,
( domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) != domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95))
| domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) != antidomain(backward_box(X_94,X_95))
| domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) = antidomain(backward_box(X_94,X_95)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))))),bind(Y,$fot(domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95)))),bind(Z,$fot(antidomain(backward_box(X_94,X_95))))]]) ).
cnf(refute_0_933,plain,
( domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) != antidomain(backward_box(X_94,X_95))
| domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) = antidomain(backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))),domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) = antidomain(backward_box(X_94,X_95)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(backward_box(X_94,X_95)),backward_box(X_94,X_95)),antidomain(backward_box(X_94,X_95))) )],[refute_0_902,refute_0_933]) ).
cnf(refute_0_935,plain,
( domain(backward_diamond(X_94,antidomain(X_95))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))) != antidomain(backward_box(X_94,X_95))
| domain(backward_diamond(X_94,antidomain(X_95))) = antidomain(backward_box(X_94,X_95)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(backward_diamond(X_94,antidomain(X_95))),antidomain(backward_box(X_94,X_95))) ),[0],$fot(domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))))]]) ).
cnf(refute_0_936,plain,
( domain(backward_diamond(X_94,antidomain(X_95))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| domain(backward_diamond(X_94,antidomain(X_95))) = antidomain(backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95)))),antidomain(backward_box(X_94,X_95))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
( domain(backward_diamond(X_94,c(X_95))) != domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))
| domain(backward_diamond(X_94,antidomain(X_95))) = antidomain(backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(domain(backward_diamond(X_94,antidomain(X_95))),domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))) )],[refute_0_901,refute_0_936]) ).
cnf(refute_0_938,plain,
domain(backward_diamond(X_94,antidomain(X_95))) = antidomain(backward_box(X_94,X_95)),
inference(resolve,[$cnf( $equal(domain(backward_diamond(X_94,c(X_95))),domain_difference(antidomain(backward_box(X_94,X_95)),antidomain(backward_diamond(X_94,c(X_95))))) )],[refute_0_890,refute_0_937]) ).
cnf(refute_0_939,plain,
domain(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = antidomain(backward_box(X_1262,addition(X_1262,X_2030))),
inference(subst,[],[refute_0_938:[bind(X_94,$fot(X_1262)),bind(X_95,$fot(addition(X_1262,X_2030)))]]) ).
cnf(refute_0_940,plain,
antidomain(antidomain(X_36)) = domain(X_36),
inference(subst,[],[refute_0_87:[bind(X0,$fot(X_36))]]) ).
cnf(refute_0_941,plain,
c(X_36) = antidomain(X_36),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_36))]]) ).
cnf(refute_0_942,plain,
antidomain(c(X_36)) = antidomain(c(X_36)),
introduced(tautology,[refl,[$fot(antidomain(c(X_36)))]]) ).
cnf(refute_0_943,plain,
( antidomain(c(X_36)) != antidomain(c(X_36))
| c(X_36) != antidomain(X_36)
| antidomain(c(X_36)) = antidomain(antidomain(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_36)),antidomain(c(X_36))) ),[1,0],$fot(antidomain(X_36))]]) ).
cnf(refute_0_944,plain,
( c(X_36) != antidomain(X_36)
| antidomain(c(X_36)) = antidomain(antidomain(X_36)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_36)),antidomain(c(X_36))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
antidomain(c(X_36)) = antidomain(antidomain(X_36)),
inference(resolve,[$cnf( $equal(c(X_36),antidomain(X_36)) )],[refute_0_941,refute_0_944]) ).
cnf(refute_0_946,plain,
( antidomain(antidomain(X_36)) != domain(X_36)
| antidomain(c(X_36)) != antidomain(antidomain(X_36))
| antidomain(c(X_36)) = domain(X_36) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(X_36)))),bind(Y,$fot(antidomain(antidomain(X_36)))),bind(Z,$fot(domain(X_36)))]]) ).
cnf(refute_0_947,plain,
( antidomain(antidomain(X_36)) != domain(X_36)
| antidomain(c(X_36)) = domain(X_36) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_36)),antidomain(antidomain(X_36))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
antidomain(c(X_36)) = domain(X_36),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_36)),domain(X_36)) )],[refute_0_940,refute_0_947]) ).
cnf(refute_0_949,plain,
( antidomain(c(X_36)) != domain(X_36)
| forward_diamond(one,X_36) != antidomain(c(X_36))
| forward_diamond(one,X_36) = domain(X_36) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,X_36),antidomain(c(X_36))) ),[1],$fot(domain(X_36))]]) ).
cnf(refute_0_950,plain,
( forward_diamond(one,X_36) != antidomain(c(X_36))
| forward_diamond(one,X_36) = domain(X_36) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_36)),domain(X_36)) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
forward_diamond(one,X_36) = domain(X_36),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_36),antidomain(c(X_36))) )],[refute_0_213,refute_0_950]) ).
cnf(refute_0_952,plain,
forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = domain(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),
inference(subst,[],[refute_0_951:[bind(X_36,$fot(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))))]]) ).
cnf(refute_0_953,plain,
( domain(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != antidomain(backward_box(X_1262,addition(X_1262,X_2030)))
| forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != domain(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030))))
| forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = antidomain(backward_box(X_1262,addition(X_1262,X_2030))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))))),bind(Y,$fot(domain(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))))),bind(Z,$fot(antidomain(backward_box(X_1262,addition(X_1262,X_2030)))))]]) ).
cnf(refute_0_954,plain,
( domain(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != antidomain(backward_box(X_1262,addition(X_1262,X_2030)))
| forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = antidomain(backward_box(X_1262,addition(X_1262,X_2030))) ),
inference(resolve,[$cnf( $equal(forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),domain(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030))))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = antidomain(backward_box(X_1262,addition(X_1262,X_2030))),
inference(resolve,[$cnf( $equal(domain(backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),antidomain(backward_box(X_1262,addition(X_1262,X_2030)))) )],[refute_0_939,refute_0_954]) ).
cnf(refute_0_956,plain,
addition(zero,coantidomain(zero)) = addition(coantidomain(zero),zero),
inference(subst,[],[refute_0_8:[bind(A,$fot(zero)),bind(B,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_957,plain,
addition(coantidomain(one),codomain(one)) = one,
inference(subst,[],[refute_0_56:[bind(X0,$fot(one))]]) ).
cnf(refute_0_958,plain,
codomain(one) = coantidomain(coantidomain(one)),
inference(subst,[],[refute_0_47:[bind(X0,$fot(one))]]) ).
cnf(refute_0_959,plain,
multiplication(one,coantidomain(one)) = coantidomain(one),
inference(subst,[],[refute_0_20:[bind(A,$fot(coantidomain(one)))]]) ).
cnf(refute_0_960,plain,
multiplication(one,coantidomain(one)) = zero,
inference(subst,[],[refute_0_2:[bind(X0,$fot(one))]]) ).
cnf(refute_0_961,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| multiplication(one,coantidomain(one)) != zero
| zero = coantidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_962,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| zero = coantidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) )],[refute_0_960,refute_0_961]) ).
cnf(refute_0_963,plain,
zero = coantidomain(one),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) )],[refute_0_959,refute_0_962]) ).
cnf(refute_0_964,plain,
( zero != coantidomain(one)
| coantidomain(one) = zero ),
inference(subst,[],[refute_0_40:[bind(X,$fot(zero)),bind(Y,$fot(coantidomain(one)))]]) ).
cnf(refute_0_965,plain,
coantidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,coantidomain(one)) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
( coantidomain(one) != zero
| codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_967,plain,
( codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
codomain(one) = coantidomain(zero),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) )],[refute_0_958,refute_0_967]) ).
cnf(refute_0_969,plain,
( addition(coantidomain(one),codomain(one)) != one
| codomain(one) != coantidomain(zero)
| addition(coantidomain(one),coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) ),[0,1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_970,plain,
( addition(coantidomain(one),codomain(one)) != one
| addition(coantidomain(one),coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
addition(coantidomain(one),coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) )],[refute_0_957,refute_0_970]) ).
cnf(refute_0_972,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(coantidomain(one),coantidomain(zero)),
introduced(tautology,[refl,[$fot(addition(coantidomain(one),coantidomain(zero)))]]) ).
cnf(refute_0_973,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_974,plain,
( coantidomain(one) != zero
| addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_965,refute_0_974]) ).
cnf(refute_0_976,plain,
( addition(coantidomain(one),coantidomain(zero)) != addition(zero,coantidomain(zero))
| addition(coantidomain(one),coantidomain(zero)) != one
| addition(zero,coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) ),[0],$fot(addition(zero,coantidomain(zero)))]]) ).
cnf(refute_0_977,plain,
( addition(coantidomain(one),coantidomain(zero)) != one
| addition(zero,coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(zero,coantidomain(zero))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
addition(zero,coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) )],[refute_0_971,refute_0_977]) ).
cnf(refute_0_979,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| addition(zero,coantidomain(zero)) != one
| one = addition(coantidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_980,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| one = addition(coantidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),one) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
one = addition(coantidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) )],[refute_0_956,refute_0_980]) ).
cnf(refute_0_982,plain,
addition(coantidomain(zero),zero) = coantidomain(zero),
inference(subst,[],[refute_0_7:[bind(A,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_983,plain,
( addition(coantidomain(zero),zero) != coantidomain(zero)
| one != addition(coantidomain(zero),zero)
| one = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(coantidomain(zero),zero)) ),[1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_984,plain,
( one != addition(coantidomain(zero),zero)
| one = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),zero),coantidomain(zero)) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
one = coantidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(coantidomain(zero),zero)) )],[refute_0_981,refute_0_984]) ).
cnf(refute_0_986,plain,
( one != coantidomain(zero)
| coantidomain(zero) = one ),
inference(subst,[],[refute_0_40:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_987,plain,
coantidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(zero)) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),
introduced(tautology,[refl,[$fot(forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))))]]) ).
cnf(refute_0_989,plain,
( coantidomain(zero) != one
| forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030))))
| forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_990,plain,
( coantidomain(zero) != one
| forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030))))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_987,refute_0_990]) ).
cnf(refute_0_992,plain,
( forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030))))
| forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != antidomain(backward_box(X_1262,addition(X_1262,X_2030)))
| forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = antidomain(backward_box(X_1262,addition(X_1262,X_2030))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))))),bind(Y,$fot(forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))))),bind(Z,$fot(antidomain(backward_box(X_1262,addition(X_1262,X_2030)))))]]) ).
cnf(refute_0_993,plain,
( forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != antidomain(backward_box(X_1262,addition(X_1262,X_2030)))
| forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = antidomain(backward_box(X_1262,addition(X_1262,X_2030))) ),
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030))))) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) = antidomain(backward_box(X_1262,addition(X_1262,X_2030))),
inference(resolve,[$cnf( $equal(forward_diamond(one,backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),antidomain(backward_box(X_1262,addition(X_1262,X_2030)))) )],[refute_0_955,refute_0_993]) ).
cnf(refute_0_995,plain,
( forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != antidomain(backward_box(X_1262,addition(X_1262,X_2030)))
| forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != zero
| antidomain(backward_box(X_1262,addition(X_1262,X_2030))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),zero) ),[0],$fot(antidomain(backward_box(X_1262,addition(X_1262,X_2030))))]]) ).
cnf(refute_0_996,plain,
( forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))) != zero
| antidomain(backward_box(X_1262,addition(X_1262,X_2030))) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),antidomain(backward_box(X_1262,addition(X_1262,X_2030)))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
antidomain(backward_box(X_1262,addition(X_1262,X_2030))) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(coantidomain(zero),backward_diamond(X_1262,antidomain(addition(X_1262,X_2030)))),zero) )],[refute_0_767,refute_0_996]) ).
cnf(refute_0_998,plain,
antidomain(backward_box(X_2354,addition(X_2354,X_2355))) = zero,
inference(subst,[],[refute_0_997:[bind(X_1262,$fot(X_2354)),bind(X_2030,$fot(X_2355))]]) ).
cnf(refute_0_999,plain,
( antidomain(backward_box(X_2354,addition(X_2354,X_2355))) != zero
| forward_box(antidomain(backward_box(X_2354,addition(X_2354,X_2355))),backward_box(X_2354,addition(X_2354,X_2355))) != domain(backward_box(X_2354,addition(X_2354,X_2355)))
| forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))) = domain(backward_box(X_2354,addition(X_2354,X_2355))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(antidomain(backward_box(X_2354,addition(X_2354,X_2355))),backward_box(X_2354,addition(X_2354,X_2355))),domain(backward_box(X_2354,addition(X_2354,X_2355)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1000,plain,
( forward_box(antidomain(backward_box(X_2354,addition(X_2354,X_2355))),backward_box(X_2354,addition(X_2354,X_2355))) != domain(backward_box(X_2354,addition(X_2354,X_2355)))
| forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))) = domain(backward_box(X_2354,addition(X_2354,X_2355))) ),
inference(resolve,[$cnf( $equal(antidomain(backward_box(X_2354,addition(X_2354,X_2355))),zero) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))) = domain(backward_box(X_2354,addition(X_2354,X_2355))),
inference(resolve,[$cnf( $equal(forward_box(antidomain(backward_box(X_2354,addition(X_2354,X_2355))),backward_box(X_2354,addition(X_2354,X_2355))),domain(backward_box(X_2354,addition(X_2354,X_2355)))) )],[refute_0_344,refute_0_1000]) ).
cnf(refute_0_1002,plain,
forward_box(zero,X_79) = c(forward_diamond(zero,c(X_79))),
inference(subst,[],[refute_0_128:[bind(X0,$fot(zero)),bind(X1,$fot(X_79))]]) ).
cnf(refute_0_1003,plain,
forward_diamond(zero,X_36) = domain(multiplication(zero,domain(X_36))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(zero)),bind(X1,$fot(X_36))]]) ).
cnf(refute_0_1004,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_1005,plain,
multiplication(zero,domain(X_36)) = zero,
inference(subst,[],[refute_0_1004:[bind(A,$fot(domain(X_36)))]]) ).
cnf(refute_0_1006,plain,
( forward_diamond(zero,X_36) != domain(multiplication(zero,domain(X_36)))
| multiplication(zero,domain(X_36)) != zero
| forward_diamond(zero,X_36) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(zero,X_36),domain(multiplication(zero,domain(X_36)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1007,plain,
( forward_diamond(zero,X_36) != domain(multiplication(zero,domain(X_36)))
| forward_diamond(zero,X_36) = domain(zero) ),
inference(resolve,[$cnf( $equal(multiplication(zero,domain(X_36)),zero) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
forward_diamond(zero,X_36) = domain(zero),
inference(resolve,[$cnf( $equal(forward_diamond(zero,X_36),domain(multiplication(zero,domain(X_36)))) )],[refute_0_1003,refute_0_1007]) ).
cnf(refute_0_1009,plain,
domain(antidomain(one)) = c(one),
inference(subst,[],[refute_0_169:[bind(X_8,$fot(one))]]) ).
cnf(refute_0_1010,plain,
( antidomain(one) != zero
| domain(antidomain(one)) != c(one)
| domain(zero) = c(one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(one)),c(one)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1011,plain,
( domain(antidomain(one)) != c(one)
| domain(zero) = c(one) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_380,refute_0_1010]) ).
cnf(refute_0_1012,plain,
domain(zero) = c(one),
inference(resolve,[$cnf( $equal(domain(antidomain(one)),c(one)) )],[refute_0_1009,refute_0_1011]) ).
cnf(refute_0_1013,plain,
( domain(zero) != c(one)
| forward_diamond(zero,X_36) != domain(zero)
| forward_diamond(zero,X_36) = c(one) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(zero,X_36),domain(zero)) ),[1],$fot(c(one))]]) ).
cnf(refute_0_1014,plain,
( forward_diamond(zero,X_36) != domain(zero)
| forward_diamond(zero,X_36) = c(one) ),
inference(resolve,[$cnf( $equal(domain(zero),c(one)) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
forward_diamond(zero,X_36) = c(one),
inference(resolve,[$cnf( $equal(forward_diamond(zero,X_36),domain(zero)) )],[refute_0_1008,refute_0_1014]) ).
cnf(refute_0_1016,plain,
multiplication(antidomain(c(one)),c(one)) = zero,
inference(subst,[],[refute_0_27:[bind(X0,$fot(c(one)))]]) ).
cnf(refute_0_1017,plain,
c(zero) = antidomain(domain(zero)),
inference(subst,[],[refute_0_163:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1018,plain,
( c(zero) != antidomain(domain(zero))
| domain(zero) != c(one)
| c(zero) = antidomain(c(one)) ),
introduced(tautology,[equality,[$cnf( $equal(c(zero),antidomain(domain(zero))) ),[1,0],$fot(c(one))]]) ).
cnf(refute_0_1019,plain,
( c(zero) != antidomain(domain(zero))
| c(zero) = antidomain(c(one)) ),
inference(resolve,[$cnf( $equal(domain(zero),c(one)) )],[refute_0_1012,refute_0_1018]) ).
cnf(refute_0_1020,plain,
c(zero) = antidomain(c(one)),
inference(resolve,[$cnf( $equal(c(zero),antidomain(domain(zero))) )],[refute_0_1017,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( c(zero) != antidomain(c(one))
| antidomain(c(one)) = c(zero) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(c(zero))),bind(Y,$fot(antidomain(c(one))))]]) ).
cnf(refute_0_1022,plain,
antidomain(c(one)) = c(zero),
inference(resolve,[$cnf( $equal(c(zero),antidomain(c(one))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( antidomain(c(one)) != c(zero)
| multiplication(antidomain(c(one)),c(one)) != zero
| multiplication(c(zero),c(one)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(one)),c(one)),zero) ),[0,0],$fot(c(zero))]]) ).
cnf(refute_0_1024,plain,
( multiplication(antidomain(c(one)),c(one)) != zero
| multiplication(c(zero),c(one)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(c(one)),c(zero)) )],[refute_0_1022,refute_0_1023]) ).
cnf(refute_0_1025,plain,
multiplication(c(zero),c(one)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(one)),c(one)),zero) )],[refute_0_1016,refute_0_1024]) ).
cnf(refute_0_1026,plain,
multiplication(one,c(one)) = c(one),
inference(subst,[],[refute_0_20:[bind(A,$fot(c(one)))]]) ).
cnf(refute_0_1027,plain,
forward_diamond(X_35,one) = domain(multiplication(X_35,domain(one))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(X_35)),bind(X1,$fot(one))]]) ).
cnf(refute_0_1028,plain,
( domain(one) != antidomain(zero)
| forward_diamond(X_35,one) != domain(multiplication(X_35,domain(one)))
| forward_diamond(X_35,one) = domain(multiplication(X_35,antidomain(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_35,one),domain(multiplication(X_35,domain(one)))) ),[1,0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_1029,plain,
( forward_diamond(X_35,one) != domain(multiplication(X_35,domain(one)))
| forward_diamond(X_35,one) = domain(multiplication(X_35,antidomain(zero))) ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_383,refute_0_1028]) ).
cnf(refute_0_1030,plain,
forward_diamond(X_35,one) = domain(multiplication(X_35,antidomain(zero))),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,one),domain(multiplication(X_35,domain(one)))) )],[refute_0_1027,refute_0_1029]) ).
cnf(refute_0_1031,plain,
forward_diamond(antidomain(zero),one) = domain(multiplication(antidomain(zero),antidomain(zero))),
inference(subst,[],[refute_0_1030:[bind(X_35,$fot(antidomain(zero)))]]) ).
cnf(refute_0_1032,plain,
domain_difference(one,X_32) = multiplication(domain(one),antidomain(X_32)),
inference(subst,[],[refute_0_242:[bind(X0,$fot(one)),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_1033,plain,
( domain(one) != antidomain(zero)
| domain_difference(one,X_32) != multiplication(domain(one),antidomain(X_32))
| domain_difference(one,X_32) = multiplication(antidomain(zero),antidomain(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(one,X_32),multiplication(domain(one),antidomain(X_32))) ),[1,0],$fot(antidomain(zero))]]) ).
cnf(refute_0_1034,plain,
( domain_difference(one,X_32) != multiplication(domain(one),antidomain(X_32))
| domain_difference(one,X_32) = multiplication(antidomain(zero),antidomain(X_32)) ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_383,refute_0_1033]) ).
cnf(refute_0_1035,plain,
domain_difference(one,X_32) = multiplication(antidomain(zero),antidomain(X_32)),
inference(resolve,[$cnf( $equal(domain_difference(one,X_32),multiplication(domain(one),antidomain(X_32))) )],[refute_0_1032,refute_0_1034]) ).
cnf(refute_0_1036,plain,
domain_difference(one,zero) = multiplication(antidomain(zero),antidomain(zero)),
inference(subst,[],[refute_0_1035:[bind(X_32,$fot(zero))]]) ).
cnf(refute_0_1037,plain,
( domain_difference(one,zero) != multiplication(antidomain(zero),antidomain(zero))
| multiplication(antidomain(zero),antidomain(zero)) = domain_difference(one,zero) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain_difference(one,zero))),bind(Y,$fot(multiplication(antidomain(zero),antidomain(zero))))]]) ).
cnf(refute_0_1038,plain,
multiplication(antidomain(zero),antidomain(zero)) = domain_difference(one,zero),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),multiplication(antidomain(zero),antidomain(zero))) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
( forward_diamond(antidomain(zero),one) != domain(multiplication(antidomain(zero),antidomain(zero)))
| multiplication(antidomain(zero),antidomain(zero)) != domain_difference(one,zero)
| forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(multiplication(antidomain(zero),antidomain(zero)))) ),[1,0],$fot(domain_difference(one,zero))]]) ).
cnf(refute_0_1040,plain,
( forward_diamond(antidomain(zero),one) != domain(multiplication(antidomain(zero),antidomain(zero)))
| forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(zero)),domain_difference(one,zero)) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(multiplication(antidomain(zero),antidomain(zero)))) )],[refute_0_1031,refute_0_1040]) ).
cnf(refute_0_1042,plain,
domain(antidomain(zero)) = c(zero),
inference(subst,[],[refute_0_169:[bind(X_8,$fot(zero))]]) ).
cnf(refute_0_1043,plain,
multiplication(X_35,one) = X_35,
inference(subst,[],[refute_0_60:[bind(A,$fot(X_35))]]) ).
cnf(refute_0_1044,plain,
multiplication(X_35,antidomain(zero)) = multiplication(X_35,antidomain(zero)),
introduced(tautology,[refl,[$fot(multiplication(X_35,antidomain(zero)))]]) ).
cnf(refute_0_1045,plain,
( antidomain(zero) != one
| multiplication(X_35,antidomain(zero)) != multiplication(X_35,antidomain(zero))
| multiplication(X_35,antidomain(zero)) = multiplication(X_35,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_35,antidomain(zero)),multiplication(X_35,antidomain(zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1046,plain,
( antidomain(zero) != one
| multiplication(X_35,antidomain(zero)) = multiplication(X_35,one) ),
inference(resolve,[$cnf( $equal(multiplication(X_35,antidomain(zero)),multiplication(X_35,antidomain(zero))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
multiplication(X_35,antidomain(zero)) = multiplication(X_35,one),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_402,refute_0_1046]) ).
cnf(refute_0_1048,plain,
( multiplication(X_35,antidomain(zero)) != multiplication(X_35,one)
| multiplication(X_35,one) != X_35
| multiplication(X_35,antidomain(zero)) = X_35 ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(X_35,antidomain(zero)))),bind(Y,$fot(multiplication(X_35,one))),bind(Z,$fot(X_35))]]) ).
cnf(refute_0_1049,plain,
( multiplication(X_35,one) != X_35
| multiplication(X_35,antidomain(zero)) = X_35 ),
inference(resolve,[$cnf( $equal(multiplication(X_35,antidomain(zero)),multiplication(X_35,one)) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
multiplication(X_35,antidomain(zero)) = X_35,
inference(resolve,[$cnf( $equal(multiplication(X_35,one),X_35) )],[refute_0_1043,refute_0_1049]) ).
cnf(refute_0_1051,plain,
domain(multiplication(X_35,antidomain(zero))) = domain(multiplication(X_35,antidomain(zero))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_35,antidomain(zero))))]]) ).
cnf(refute_0_1052,plain,
( domain(multiplication(X_35,antidomain(zero))) != domain(multiplication(X_35,antidomain(zero)))
| multiplication(X_35,antidomain(zero)) != X_35
| domain(multiplication(X_35,antidomain(zero))) = domain(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_35,antidomain(zero))),domain(multiplication(X_35,antidomain(zero)))) ),[1,0],$fot(X_35)]]) ).
cnf(refute_0_1053,plain,
( multiplication(X_35,antidomain(zero)) != X_35
| domain(multiplication(X_35,antidomain(zero))) = domain(X_35) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,antidomain(zero))),domain(multiplication(X_35,antidomain(zero)))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
domain(multiplication(X_35,antidomain(zero))) = domain(X_35),
inference(resolve,[$cnf( $equal(multiplication(X_35,antidomain(zero)),X_35) )],[refute_0_1050,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( domain(multiplication(X_35,antidomain(zero))) != domain(X_35)
| forward_diamond(X_35,one) != domain(multiplication(X_35,antidomain(zero)))
| forward_diamond(X_35,one) = domain(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_35,one),domain(multiplication(X_35,antidomain(zero)))) ),[1],$fot(domain(X_35))]]) ).
cnf(refute_0_1056,plain,
( forward_diamond(X_35,one) != domain(multiplication(X_35,antidomain(zero)))
| forward_diamond(X_35,one) = domain(X_35) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,antidomain(zero))),domain(X_35)) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
forward_diamond(X_35,one) = domain(X_35),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,one),domain(multiplication(X_35,antidomain(zero)))) )],[refute_0_1030,refute_0_1056]) ).
cnf(refute_0_1058,plain,
forward_diamond(antidomain(zero),one) = domain(antidomain(zero)),
inference(subst,[],[refute_0_1057:[bind(X_35,$fot(antidomain(zero)))]]) ).
cnf(refute_0_1059,plain,
( domain(antidomain(zero)) != c(zero)
| forward_diamond(antidomain(zero),one) != domain(antidomain(zero))
| forward_diamond(antidomain(zero),one) = c(zero) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(forward_diamond(antidomain(zero),one))),bind(Y,$fot(domain(antidomain(zero)))),bind(Z,$fot(c(zero)))]]) ).
cnf(refute_0_1060,plain,
( domain(antidomain(zero)) != c(zero)
| forward_diamond(antidomain(zero),one) = c(zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(antidomain(zero))) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
forward_diamond(antidomain(zero),one) = c(zero),
inference(resolve,[$cnf( $equal(domain(antidomain(zero)),c(zero)) )],[refute_0_1042,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( forward_diamond(antidomain(zero),one) != c(zero)
| forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = domain(domain_difference(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(domain_difference(one,zero))) ),[0],$fot(c(zero))]]) ).
cnf(refute_0_1063,plain,
( forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = domain(domain_difference(one,zero)) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),c(zero)) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
( antidomain(zero) != one
| domain(one) != antidomain(zero)
| domain(one) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(zero)) ),[1],$fot(one)]]) ).
cnf(refute_0_1065,plain,
( domain(one) != antidomain(zero)
| domain(one) = one ),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_402,refute_0_1064]) ).
cnf(refute_0_1066,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_383,refute_0_1065]) ).
cnf(refute_0_1067,plain,
multiplication(one,antidomain(X_32)) = antidomain(X_32),
inference(subst,[],[refute_0_20:[bind(A,$fot(antidomain(X_32)))]]) ).
cnf(refute_0_1068,plain,
multiplication(antidomain(zero),antidomain(X_32)) = multiplication(antidomain(zero),antidomain(X_32)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(zero),antidomain(X_32)))]]) ).
cnf(refute_0_1069,plain,
( antidomain(zero) != one
| multiplication(antidomain(zero),antidomain(X_32)) != multiplication(antidomain(zero),antidomain(X_32))
| multiplication(antidomain(zero),antidomain(X_32)) = multiplication(one,antidomain(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_32)),multiplication(antidomain(zero),antidomain(X_32))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1070,plain,
( antidomain(zero) != one
| multiplication(antidomain(zero),antidomain(X_32)) = multiplication(one,antidomain(X_32)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_32)),multiplication(antidomain(zero),antidomain(X_32))) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
multiplication(antidomain(zero),antidomain(X_32)) = multiplication(one,antidomain(X_32)),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_402,refute_0_1070]) ).
cnf(refute_0_1072,plain,
( multiplication(antidomain(zero),antidomain(X_32)) != multiplication(one,antidomain(X_32))
| multiplication(one,antidomain(X_32)) != antidomain(X_32)
| multiplication(antidomain(zero),antidomain(X_32)) = antidomain(X_32) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(zero),antidomain(X_32)))),bind(Y,$fot(multiplication(one,antidomain(X_32)))),bind(Z,$fot(antidomain(X_32)))]]) ).
cnf(refute_0_1073,plain,
( multiplication(one,antidomain(X_32)) != antidomain(X_32)
| multiplication(antidomain(zero),antidomain(X_32)) = antidomain(X_32) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_32)),multiplication(one,antidomain(X_32))) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
multiplication(antidomain(zero),antidomain(X_32)) = antidomain(X_32),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_32)),antidomain(X_32)) )],[refute_0_1067,refute_0_1073]) ).
cnf(refute_0_1075,plain,
( domain_difference(one,X_32) != multiplication(antidomain(zero),antidomain(X_32))
| multiplication(antidomain(zero),antidomain(X_32)) != antidomain(X_32)
| domain_difference(one,X_32) = antidomain(X_32) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(one,X_32),antidomain(X_32)) ),[0],$fot(multiplication(antidomain(zero),antidomain(X_32)))]]) ).
cnf(refute_0_1076,plain,
( domain_difference(one,X_32) != multiplication(antidomain(zero),antidomain(X_32))
| domain_difference(one,X_32) = antidomain(X_32) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_32)),antidomain(X_32)) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
domain_difference(one,X_32) = antidomain(X_32),
inference(resolve,[$cnf( $equal(domain_difference(one,X_32),multiplication(antidomain(zero),antidomain(X_32))) )],[refute_0_1035,refute_0_1076]) ).
cnf(refute_0_1078,plain,
domain_difference(one,zero) = antidomain(zero),
inference(subst,[],[refute_0_1077:[bind(X_32,$fot(zero))]]) ).
cnf(refute_0_1079,plain,
( antidomain(zero) != one
| domain_difference(one,zero) != antidomain(zero)
| domain_difference(one,zero) = one ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain_difference(one,zero))),bind(Y,$fot(antidomain(zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1080,plain,
( antidomain(zero) != one
| domain_difference(one,zero) = one ),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),antidomain(zero)) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
domain_difference(one,zero) = one,
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_402,refute_0_1080]) ).
cnf(refute_0_1082,plain,
domain(domain_difference(one,zero)) = domain(domain_difference(one,zero)),
introduced(tautology,[refl,[$fot(domain(domain_difference(one,zero)))]]) ).
cnf(refute_0_1083,plain,
( domain(domain_difference(one,zero)) != domain(domain_difference(one,zero))
| domain_difference(one,zero) != one
| domain(domain_difference(one,zero)) = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain_difference(one,zero)),domain(domain_difference(one,zero))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1084,plain,
( domain_difference(one,zero) != one
| domain(domain_difference(one,zero)) = domain(one) ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),domain(domain_difference(one,zero))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
domain(domain_difference(one,zero)) = domain(one),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),one) )],[refute_0_1081,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( domain(domain_difference(one,zero)) != domain(one)
| domain(one) != one
| domain(domain_difference(one,zero)) = one ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain(domain_difference(one,zero)))),bind(Y,$fot(domain(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1087,plain,
( domain(one) != one
| domain(domain_difference(one,zero)) = one ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),domain(one)) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
domain(domain_difference(one,zero)) = one,
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_1066,refute_0_1087]) ).
cnf(refute_0_1089,plain,
( c(zero) != domain(domain_difference(one,zero))
| domain(domain_difference(one,zero)) != one
| c(zero) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(zero),one) ),[0],$fot(domain(domain_difference(one,zero)))]]) ).
cnf(refute_0_1090,plain,
( c(zero) != domain(domain_difference(one,zero))
| c(zero) = one ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),one) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
( forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = one ),
inference(resolve,[$cnf( $equal(c(zero),domain(domain_difference(one,zero))) )],[refute_0_1063,refute_0_1090]) ).
cnf(refute_0_1092,plain,
c(zero) = one,
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(domain_difference(one,zero))) )],[refute_0_1041,refute_0_1091]) ).
cnf(refute_0_1093,plain,
multiplication(c(zero),c(one)) = multiplication(c(zero),c(one)),
introduced(tautology,[refl,[$fot(multiplication(c(zero),c(one)))]]) ).
cnf(refute_0_1094,plain,
( c(zero) != one
| multiplication(c(zero),c(one)) != multiplication(c(zero),c(one))
| multiplication(c(zero),c(one)) = multiplication(one,c(one)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(c(zero),c(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1095,plain,
( c(zero) != one
| multiplication(c(zero),c(one)) = multiplication(one,c(one)) ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(c(zero),c(one))) )],[refute_0_1093,refute_0_1094]) ).
cnf(refute_0_1096,plain,
multiplication(c(zero),c(one)) = multiplication(one,c(one)),
inference(resolve,[$cnf( $equal(c(zero),one) )],[refute_0_1092,refute_0_1095]) ).
cnf(refute_0_1097,plain,
( multiplication(c(zero),c(one)) != multiplication(one,c(one))
| multiplication(one,c(one)) != c(one)
| multiplication(c(zero),c(one)) = c(one) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(c(zero),c(one)))),bind(Y,$fot(multiplication(one,c(one)))),bind(Z,$fot(c(one)))]]) ).
cnf(refute_0_1098,plain,
( multiplication(one,c(one)) != c(one)
| multiplication(c(zero),c(one)) = c(one) ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(one,c(one))) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
multiplication(c(zero),c(one)) = c(one),
inference(resolve,[$cnf( $equal(multiplication(one,c(one)),c(one)) )],[refute_0_1026,refute_0_1098]) ).
cnf(refute_0_1100,plain,
( multiplication(c(zero),c(one)) != c(one)
| multiplication(c(zero),c(one)) != zero
| c(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(zero),c(one)),zero) ),[0],$fot(c(one))]]) ).
cnf(refute_0_1101,plain,
( multiplication(c(zero),c(one)) != zero
| c(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),c(one)) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
c(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),zero) )],[refute_0_1025,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( c(one) != zero
| forward_diamond(zero,X_36) != c(one)
| forward_diamond(zero,X_36) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(zero,X_36),c(one)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1104,plain,
( forward_diamond(zero,X_36) != c(one)
| forward_diamond(zero,X_36) = zero ),
inference(resolve,[$cnf( $equal(c(one),zero) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
forward_diamond(zero,X_36) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(zero,X_36),c(one)) )],[refute_0_1015,refute_0_1104]) ).
cnf(refute_0_1106,plain,
forward_diamond(zero,c(X_79)) = zero,
inference(subst,[],[refute_0_1105:[bind(X_36,$fot(c(X_79)))]]) ).
cnf(refute_0_1107,plain,
( forward_box(zero,X_79) != c(forward_diamond(zero,c(X_79)))
| forward_diamond(zero,c(X_79)) != zero
| forward_box(zero,X_79) = c(zero) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(zero,X_79),c(forward_diamond(zero,c(X_79)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1108,plain,
( forward_box(zero,X_79) != c(forward_diamond(zero,c(X_79)))
| forward_box(zero,X_79) = c(zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(zero,c(X_79)),zero) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
forward_box(zero,X_79) = c(zero),
inference(resolve,[$cnf( $equal(forward_box(zero,X_79),c(forward_diamond(zero,c(X_79)))) )],[refute_0_1002,refute_0_1108]) ).
cnf(refute_0_1110,plain,
( c(zero) != one
| forward_box(zero,X_79) != c(zero)
| forward_box(zero,X_79) = one ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(zero,X_79),c(zero)) ),[1],$fot(one)]]) ).
cnf(refute_0_1111,plain,
( forward_box(zero,X_79) != c(zero)
| forward_box(zero,X_79) = one ),
inference(resolve,[$cnf( $equal(c(zero),one) )],[refute_0_1092,refute_0_1110]) ).
cnf(refute_0_1112,plain,
forward_box(zero,X_79) = one,
inference(resolve,[$cnf( $equal(forward_box(zero,X_79),c(zero)) )],[refute_0_1109,refute_0_1111]) ).
cnf(refute_0_1113,plain,
forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))) = one,
inference(subst,[],[refute_0_1112:[bind(X_79,$fot(backward_box(X_2354,addition(X_2354,X_2355))))]]) ).
cnf(refute_0_1114,plain,
( forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))) != domain(backward_box(X_2354,addition(X_2354,X_2355)))
| forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))) != one
| one = domain(backward_box(X_2354,addition(X_2354,X_2355))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))),domain(backward_box(X_2354,addition(X_2354,X_2355)))) ),[0],$fot(one)]]) ).
cnf(refute_0_1115,plain,
( forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))) != domain(backward_box(X_2354,addition(X_2354,X_2355)))
| one = domain(backward_box(X_2354,addition(X_2354,X_2355))) ),
inference(resolve,[$cnf( $equal(forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))),one) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
multiplication(antidomain(antidomain(backward_box(X_94,X_95))),addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95)))) = multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)),
inference(subst,[],[refute_0_35:[bind(X_239,$fot(backward_box(X_94,X_95))),bind(X_240,$fot(antidomain(backward_box(X_94,X_95))))]]) ).
cnf(refute_0_1117,plain,
addition(antidomain(domain(X0)),domain(domain(X0))) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(domain(X0)))]]) ).
cnf(refute_0_1118,plain,
( addition(antidomain(domain(X0)),domain(domain(X0))) != one
| antidomain(domain(X0)) != c(X0)
| addition(c(X0),domain(domain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X0)),domain(domain(X0))),one) ),[0,0],$fot(c(X0))]]) ).
cnf(refute_0_1119,plain,
( addition(antidomain(domain(X0)),domain(domain(X0))) != one
| addition(c(X0),domain(domain(X0))) = one ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_165,refute_0_1118]) ).
cnf(refute_0_1120,plain,
addition(c(X0),domain(domain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X0)),domain(domain(X0))),one) )],[refute_0_1117,refute_0_1119]) ).
cnf(refute_0_1121,plain,
addition(c(X0),domain(domain(X0))) = addition(c(X0),domain(domain(X0))),
introduced(tautology,[refl,[$fot(addition(c(X0),domain(domain(X0))))]]) ).
cnf(refute_0_1122,plain,
( addition(c(X0),domain(domain(X0))) != addition(c(X0),domain(domain(X0)))
| domain(domain(X0)) != antidomain(c(X0))
| addition(c(X0),domain(domain(X0))) = addition(c(X0),antidomain(c(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X0),domain(domain(X0))),addition(c(X0),domain(domain(X0)))) ),[1,1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1123,plain,
( domain(domain(X0)) != antidomain(c(X0))
| addition(c(X0),domain(domain(X0))) = addition(c(X0),antidomain(c(X0))) ),
inference(resolve,[$cnf( $equal(addition(c(X0),domain(domain(X0))),addition(c(X0),domain(domain(X0)))) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
addition(c(X0),domain(domain(X0))) = addition(c(X0),antidomain(c(X0))),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_188,refute_0_1123]) ).
cnf(refute_0_1125,plain,
( addition(c(X0),domain(domain(X0))) != addition(c(X0),antidomain(c(X0)))
| addition(c(X0),domain(domain(X0))) != one
| addition(c(X0),antidomain(c(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X0),domain(domain(X0))),one) ),[0],$fot(addition(c(X0),antidomain(c(X0))))]]) ).
cnf(refute_0_1126,plain,
( addition(c(X0),domain(domain(X0))) != one
| addition(c(X0),antidomain(c(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(c(X0),domain(domain(X0))),addition(c(X0),antidomain(c(X0)))) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
addition(c(X0),antidomain(c(X0))) = one,
inference(resolve,[$cnf( $equal(addition(c(X0),domain(domain(X0))),one) )],[refute_0_1120,refute_0_1126]) ).
cnf(refute_0_1128,plain,
addition(c(backward_diamond(X_94,c(X_95))),antidomain(c(backward_diamond(X_94,c(X_95))))) = one,
inference(subst,[],[refute_0_1127:[bind(X0,$fot(backward_diamond(X_94,c(X_95))))]]) ).
cnf(refute_0_1129,plain,
( addition(c(backward_diamond(X_94,c(X_95))),antidomain(c(backward_diamond(X_94,c(X_95))))) != one
| c(backward_diamond(X_94,c(X_95))) != backward_box(X_94,X_95)
| addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(backward_diamond(X_94,c(X_95))),antidomain(c(backward_diamond(X_94,c(X_95))))),one) ),[0,0],$fot(backward_box(X_94,X_95))]]) ).
cnf(refute_0_1130,plain,
( addition(c(backward_diamond(X_94,c(X_95))),antidomain(c(backward_diamond(X_94,c(X_95))))) != one
| addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) = one ),
inference(resolve,[$cnf( $equal(c(backward_diamond(X_94,c(X_95))),backward_box(X_94,X_95)) )],[refute_0_860,refute_0_1129]) ).
cnf(refute_0_1131,plain,
addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) = one,
inference(resolve,[$cnf( $equal(addition(c(backward_diamond(X_94,c(X_95))),antidomain(c(backward_diamond(X_94,c(X_95))))),one) )],[refute_0_1128,refute_0_1130]) ).
cnf(refute_0_1132,plain,
antidomain(c(backward_diamond(X_94,c(X_95)))) = antidomain(c(backward_diamond(X_94,c(X_95)))),
introduced(tautology,[refl,[$fot(antidomain(c(backward_diamond(X_94,c(X_95)))))]]) ).
cnf(refute_0_1133,plain,
( antidomain(c(backward_diamond(X_94,c(X_95)))) != antidomain(c(backward_diamond(X_94,c(X_95))))
| c(backward_diamond(X_94,c(X_95))) != backward_box(X_94,X_95)
| antidomain(c(backward_diamond(X_94,c(X_95)))) = antidomain(backward_box(X_94,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(backward_diamond(X_94,c(X_95)))),antidomain(c(backward_diamond(X_94,c(X_95))))) ),[1,0],$fot(backward_box(X_94,X_95))]]) ).
cnf(refute_0_1134,plain,
( c(backward_diamond(X_94,c(X_95))) != backward_box(X_94,X_95)
| antidomain(c(backward_diamond(X_94,c(X_95)))) = antidomain(backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(antidomain(c(backward_diamond(X_94,c(X_95)))),antidomain(c(backward_diamond(X_94,c(X_95))))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
antidomain(c(backward_diamond(X_94,c(X_95)))) = antidomain(backward_box(X_94,X_95)),
inference(resolve,[$cnf( $equal(c(backward_diamond(X_94,c(X_95))),backward_box(X_94,X_95)) )],[refute_0_860,refute_0_1134]) ).
cnf(refute_0_1136,plain,
addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) = addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))),
introduced(tautology,[refl,[$fot(addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))))]]) ).
cnf(refute_0_1137,plain,
( addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) != addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95)))))
| antidomain(c(backward_diamond(X_94,c(X_95)))) != antidomain(backward_box(X_94,X_95))
| addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) = addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))),addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95)))))) ),[1,1],$fot(antidomain(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_1138,plain,
( antidomain(c(backward_diamond(X_94,c(X_95)))) != antidomain(backward_box(X_94,X_95))
| addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) = addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))) ),
inference(resolve,[$cnf( $equal(addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))),addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95)))))) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) = addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))),
inference(resolve,[$cnf( $equal(antidomain(c(backward_diamond(X_94,c(X_95)))),antidomain(backward_box(X_94,X_95))) )],[refute_0_1135,refute_0_1138]) ).
cnf(refute_0_1140,plain,
( addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) != addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95)))
| addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) != one
| addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))),one) ),[0],$fot(addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))))]]) ).
cnf(refute_0_1141,plain,
( addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))) != one
| addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))) = one ),
inference(resolve,[$cnf( $equal(addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))),addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95)))) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))) = one,
inference(resolve,[$cnf( $equal(addition(backward_box(X_94,X_95),antidomain(c(backward_diamond(X_94,c(X_95))))),one) )],[refute_0_1131,refute_0_1141]) ).
cnf(refute_0_1143,plain,
( addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))) != one
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95)))) != multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) = multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95)))),multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1144,plain,
( multiplication(antidomain(antidomain(backward_box(X_94,X_95))),addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95)))) != multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) = multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95))),one) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) = multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),addition(backward_box(X_94,X_95),antidomain(backward_box(X_94,X_95)))),multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))) )],[refute_0_1116,refute_0_1144]) ).
cnf(refute_0_1146,plain,
antidomain(antidomain(backward_box(X_94,X_95))) = domain(backward_box(X_94,X_95)),
inference(subst,[],[refute_0_87:[bind(X0,$fot(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_1147,plain,
multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) = antidomain(antidomain(backward_box(X_94,X_95))),
inference(subst,[],[refute_0_60:[bind(A,$fot(antidomain(antidomain(backward_box(X_94,X_95)))))]]) ).
cnf(refute_0_1148,plain,
( antidomain(antidomain(backward_box(X_94,X_95))) != domain(backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) != antidomain(antidomain(backward_box(X_94,X_95)))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) = domain(backward_box(X_94,X_95)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one))),bind(Y,$fot(antidomain(antidomain(backward_box(X_94,X_95))))),bind(Z,$fot(domain(backward_box(X_94,X_95))))]]) ).
cnf(refute_0_1149,plain,
( antidomain(antidomain(backward_box(X_94,X_95))) != domain(backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) = domain(backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one),antidomain(antidomain(backward_box(X_94,X_95)))) )],[refute_0_1147,refute_0_1148]) ).
cnf(refute_0_1150,plain,
multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) = domain(backward_box(X_94,X_95)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(backward_box(X_94,X_95))),domain(backward_box(X_94,X_95))) )],[refute_0_1146,refute_0_1149]) ).
cnf(refute_0_1151,plain,
( multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) != domain(backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) != multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))
| domain(backward_box(X_94,X_95)) = multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one),multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))) ),[0],$fot(domain(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_1152,plain,
( multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) != multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))
| domain(backward_box(X_94,X_95)) = multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one),domain(backward_box(X_94,X_95))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( X_505 != multiplication(domain(X_505),X_505)
| multiplication(domain(X_505),X_505) = X_505 ),
inference(subst,[],[refute_0_40:[bind(X,$fot(X_505)),bind(Y,$fot(multiplication(domain(X_505),X_505)))]]) ).
cnf(refute_0_1154,plain,
multiplication(domain(X_505),X_505) = X_505,
inference(resolve,[$cnf( $equal(X_505,multiplication(domain(X_505),X_505)) )],[refute_0_149,refute_0_1153]) ).
cnf(refute_0_1155,plain,
multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) = backward_box(X_94,X_95),
inference(subst,[],[refute_0_1154:[bind(X_505,$fot(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_1156,plain,
multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) = multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)))]]) ).
cnf(refute_0_1157,plain,
( antidomain(antidomain(backward_box(X_94,X_95))) != domain(backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) != multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) = multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)),multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))) ),[1,0],$fot(domain(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_1158,plain,
( antidomain(antidomain(backward_box(X_94,X_95))) != domain(backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) = multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)),multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) = multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(backward_box(X_94,X_95))),domain(backward_box(X_94,X_95))) )],[refute_0_1146,refute_0_1158]) ).
cnf(refute_0_1160,plain,
( multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) != multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95))
| multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) != backward_box(X_94,X_95)
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) = backward_box(X_94,X_95) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)))),bind(Y,$fot(multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)))),bind(Z,$fot(backward_box(X_94,X_95)))]]) ).
cnf(refute_0_1161,plain,
( multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) != backward_box(X_94,X_95)
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) = backward_box(X_94,X_95) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)),multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95))) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) = backward_box(X_94,X_95),
inference(resolve,[$cnf( $equal(multiplication(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)),backward_box(X_94,X_95)) )],[refute_0_1155,refute_0_1161]) ).
cnf(refute_0_1163,plain,
( domain(backward_box(X_94,X_95)) != multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))
| multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)) != backward_box(X_94,X_95)
| domain(backward_box(X_94,X_95)) = backward_box(X_94,X_95) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(backward_box(X_94,X_95)),backward_box(X_94,X_95)) ),[0],$fot(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)))]]) ).
cnf(refute_0_1164,plain,
( domain(backward_box(X_94,X_95)) != multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))
| domain(backward_box(X_94,X_95)) = backward_box(X_94,X_95) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95)),backward_box(X_94,X_95)) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
( multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one) != multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))
| domain(backward_box(X_94,X_95)) = backward_box(X_94,X_95) ),
inference(resolve,[$cnf( $equal(domain(backward_box(X_94,X_95)),multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))) )],[refute_0_1152,refute_0_1164]) ).
cnf(refute_0_1166,plain,
domain(backward_box(X_94,X_95)) = backward_box(X_94,X_95),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(backward_box(X_94,X_95))),one),multiplication(antidomain(antidomain(backward_box(X_94,X_95))),backward_box(X_94,X_95))) )],[refute_0_1145,refute_0_1165]) ).
cnf(refute_0_1167,plain,
domain(backward_box(X_2354,addition(X_2354,X_2355))) = backward_box(X_2354,addition(X_2354,X_2355)),
inference(subst,[],[refute_0_1166:[bind(X_94,$fot(X_2354)),bind(X_95,$fot(addition(X_2354,X_2355)))]]) ).
cnf(refute_0_1168,plain,
( domain(backward_box(X_2354,addition(X_2354,X_2355))) != backward_box(X_2354,addition(X_2354,X_2355))
| one != domain(backward_box(X_2354,addition(X_2354,X_2355)))
| one = backward_box(X_2354,addition(X_2354,X_2355)) ),
introduced(tautology,[equality,[$cnf( $equal(one,domain(backward_box(X_2354,addition(X_2354,X_2355)))) ),[1],$fot(backward_box(X_2354,addition(X_2354,X_2355)))]]) ).
cnf(refute_0_1169,plain,
( one != domain(backward_box(X_2354,addition(X_2354,X_2355)))
| one = backward_box(X_2354,addition(X_2354,X_2355)) ),
inference(resolve,[$cnf( $equal(domain(backward_box(X_2354,addition(X_2354,X_2355))),backward_box(X_2354,addition(X_2354,X_2355))) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
( forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))) != domain(backward_box(X_2354,addition(X_2354,X_2355)))
| one = backward_box(X_2354,addition(X_2354,X_2355)) ),
inference(resolve,[$cnf( $equal(one,domain(backward_box(X_2354,addition(X_2354,X_2355)))) )],[refute_0_1115,refute_0_1169]) ).
cnf(refute_0_1171,plain,
one = backward_box(X_2354,addition(X_2354,X_2355)),
inference(resolve,[$cnf( $equal(forward_box(zero,backward_box(X_2354,addition(X_2354,X_2355))),domain(backward_box(X_2354,addition(X_2354,X_2355)))) )],[refute_0_1001,refute_0_1170]) ).
cnf(refute_0_1172,plain,
one = backward_box(forward_diamond(X_2581,X_2582),addition(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582)))))),
inference(subst,[],[refute_0_1171:[bind(X_2354,$fot(forward_diamond(X_2581,X_2582))),bind(X_2355,$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))))]]) ).
cnf(refute_0_1173,plain,
addition(domain(X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_1174,plain,
addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))),
inference(subst,[],[refute_0_1173:[bind(X1,$fot(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_1175,plain,
( addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))
| domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) ),[0,1,1,1,1],$fot(forward_diamond(X0,X1))]]) ).
cnf(refute_0_1176,plain,
( addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))
| addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),forward_diamond(X0,X1)) )],[refute_0_491,refute_0_1175]) ).
cnf(refute_0_1177,plain,
addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) )],[refute_0_1174,refute_0_1176]) ).
cnf(refute_0_1178,plain,
domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) = domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))),
introduced(tautology,[refl,[$fot(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))]]) ).
cnf(refute_0_1179,plain,
( domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) != domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))
| domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) ),[1,0],$fot(forward_diamond(X0,X1))]]) ).
cnf(refute_0_1180,plain,
( domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),forward_diamond(X0,X1)) )],[refute_0_491,refute_0_1180]) ).
cnf(refute_0_1182,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))]]) ).
cnf(refute_0_1183,plain,
( domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) != domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) ),[1,1],$fot(domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))]]) ).
cnf(refute_0_1184,plain,
( domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) != domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) )],[refute_0_1182,refute_0_1183]) ).
cnf(refute_0_1185,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))),
inference(resolve,[$cnf( $equal(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) )],[refute_0_1181,refute_0_1184]) ).
cnf(refute_0_1186,plain,
addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),
introduced(tautology,[refl,[$fot(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))))]]) ).
cnf(refute_0_1187,plain,
( addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))
| addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))) ),[1,1],$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))]]) ).
cnf(refute_0_1188,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))
| addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) )],[refute_0_1185,refute_0_1188]) ).
cnf(refute_0_1190,plain,
addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),
introduced(tautology,[refl,[$fot(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))))]]) ).
cnf(refute_0_1191,plain,
( addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))
| domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))) ),[1,0],$fot(forward_diamond(X0,X1))]]) ).
cnf(refute_0_1192,plain,
( domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) ),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),forward_diamond(X0,X1)) )],[refute_0_491,refute_0_1192]) ).
cnf(refute_0_1194,plain,
( addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))
| addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))
| addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))))),bind(Y,$fot(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))))),bind(Z,$fot(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))))]]) ).
cnf(refute_0_1195,plain,
( addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))
| addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) ),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))) )],[refute_0_1193,refute_0_1194]) ).
cnf(refute_0_1196,plain,
addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))) )],[refute_0_1189,refute_0_1195]) ).
cnf(refute_0_1197,plain,
( addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))
| addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))
| addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) ),[0],$fot(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))))]]) ).
cnf(refute_0_1198,plain,
( addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))
| addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) ),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))) = forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))),
introduced(tautology,[refl,[$fot(forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_1200,plain,
( domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))) != forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))
| forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))) = forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) ),[1,1],$fot(forward_diamond(X0,X1))]]) ).
cnf(refute_0_1201,plain,
( domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))) = forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))) = forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),forward_diamond(X0,X1)) )],[refute_0_491,refute_0_1201]) ).
cnf(refute_0_1203,plain,
domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),
introduced(tautology,[refl,[$fot(domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))]]) ).
cnf(refute_0_1204,plain,
( domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) != domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))
| forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))) != forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))
| domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) ),[1,1],$fot(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))]]) ).
cnf(refute_0_1205,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))) != forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))
| domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) ),
inference(resolve,[$cnf( $equal(domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) )],[refute_0_1202,refute_0_1205]) ).
cnf(refute_0_1207,plain,
domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),
introduced(tautology,[refl,[$fot(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))]]) ).
cnf(refute_0_1208,plain,
( domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) != domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))
| domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) ),[1,0],$fot(forward_diamond(X0,X1))]]) ).
cnf(refute_0_1209,plain,
( domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),forward_diamond(X0,X1)) )],[refute_0_491,refute_0_1209]) ).
cnf(refute_0_1211,plain,
( domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) != domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))
| domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) != domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))
| domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))),bind(Y,$fot(domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))),bind(Z,$fot(domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))))]]) ).
cnf(refute_0_1212,plain,
( domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) != domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))
| domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) )],[refute_0_1210,refute_0_1211]) ).
cnf(refute_0_1213,plain,
domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) = domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))),
inference(resolve,[$cnf( $equal(domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) )],[refute_0_1206,refute_0_1212]) ).
cnf(refute_0_1214,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))))]]) ).
cnf(refute_0_1215,plain,
( domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) != domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) ),[1,1],$fot(domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))]]) ).
cnf(refute_0_1216,plain,
( domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))) != domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) )],[refute_0_1214,refute_0_1215]) ).
cnf(refute_0_1217,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))),
inference(resolve,[$cnf( $equal(domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) )],[refute_0_1213,refute_0_1216]) ).
cnf(refute_0_1218,plain,
( addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))
| addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) ),[0],$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))))]]) ).
cnf(refute_0_1219,plain,
( addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))
| addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1)))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
( addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))
| addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) )],[refute_0_1198,refute_0_1219]) ).
cnf(refute_0_1221,plain,
addition(forward_diamond(X0,X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X0,X1),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1)))),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X0,domain(X1))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X0,X1))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(multiplication(X0,domain(X1))),forward_diamond(skolemFOFtoCNF_X0,domain(multiplication(X0,domain(X1))))))) )],[refute_0_1177,refute_0_1220]) ).
cnf(refute_0_1222,plain,
addition(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582)))),
inference(subst,[],[refute_0_1221:[bind(X0,$fot(X_2581)),bind(X1,$fot(X_2582))]]) ).
cnf(refute_0_1223,plain,
( addition(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))
| one != backward_box(forward_diamond(X_2581,X_2582),addition(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))))
| one = backward_box(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,backward_box(forward_diamond(X_2581,X_2582),addition(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))))) ),[1,1],$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582)))))]]) ).
cnf(refute_0_1224,plain,
( one != backward_box(forward_diamond(X_2581,X_2582),addition(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))))
| one = backward_box(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
one = backward_box(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))),
inference(resolve,[$cnf( $equal(one,backward_box(forward_diamond(X_2581,X_2582),addition(forward_diamond(X_2581,X_2582),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(X_2581,X_2582),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(X_2581,X_2582))))))) )],[refute_0_1172,refute_0_1224]) ).
cnf(refute_0_1226,plain,
one = backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(codomain(domain(X_2584)),X_2584))))),
inference(subst,[],[refute_0_1225:[bind(X_2581,$fot(codomain(domain(X_2584)))),bind(X_2582,$fot(X_2584))]]) ).
cnf(refute_0_1227,plain,
forward_diamond(codomain(domain(domain(X1))),X1) = domain(multiplication(codomain(domain(domain(X1))),domain(X1))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(codomain(domain(domain(X1)))))]]) ).
cnf(refute_0_1228,plain,
multiplication(addition(antidomain(X_157),codomain(domain(X_157))),X_157) = multiplication(codomain(domain(X_157)),X_157),
inference(subst,[],[refute_0_140:[bind(X_156,$fot(codomain(domain(X_157))))]]) ).
cnf(refute_0_1229,plain,
addition(forward_diamond(X_35,X_36),addition(antidomain(forward_diamond(X_35,X_36)),X_223)) = addition(addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))),X_223),
inference(subst,[],[refute_0_72:[bind(A,$fot(forward_diamond(X_35,X_36))),bind(B,$fot(antidomain(forward_diamond(X_35,X_36)))),bind(C,$fot(X_223))]]) ).
cnf(refute_0_1230,plain,
addition(c(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))) = one,
inference(subst,[],[refute_0_790:[bind(X_8,$fot(multiplication(X_35,domain(X_36))))]]) ).
cnf(refute_0_1231,plain,
forward_diamond(X_35,X_36) = domain(multiplication(X_35,domain(X_36))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(X_35)),bind(X1,$fot(X_36))]]) ).
cnf(refute_0_1232,plain,
( forward_diamond(X_35,X_36) != domain(multiplication(X_35,domain(X_36)))
| domain(multiplication(X_35,domain(X_36))) = forward_diamond(X_35,X_36) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_diamond(X_35,X_36))),bind(Y,$fot(domain(multiplication(X_35,domain(X_36)))))]]) ).
cnf(refute_0_1233,plain,
domain(multiplication(X_35,domain(X_36))) = forward_diamond(X_35,X_36),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,X_36),domain(multiplication(X_35,domain(X_36)))) )],[refute_0_1231,refute_0_1232]) ).
cnf(refute_0_1234,plain,
( addition(c(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))) != one
| domain(multiplication(X_35,domain(X_36))) != forward_diamond(X_35,X_36)
| addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))),one) ),[0,1],$fot(forward_diamond(X_35,X_36))]]) ).
cnf(refute_0_1235,plain,
( addition(c(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))) != one
| addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) = one ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) = one,
inference(resolve,[$cnf( $equal(addition(c(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))),one) )],[refute_0_1230,refute_0_1235]) ).
cnf(refute_0_1237,plain,
addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) = addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))),
inference(subst,[],[refute_0_42:[bind(A,$fot(forward_diamond(X_35,X_36))),bind(B,$fot(c(multiplication(X_35,domain(X_36)))))]]) ).
cnf(refute_0_1238,plain,
( addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) != addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36))))
| addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) != one
| addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)),one) ),[0],$fot(addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))))]]) ).
cnf(refute_0_1239,plain,
( addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) != one
| addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) = one ),
inference(resolve,[$cnf( $equal(addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)),addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36))))) )],[refute_0_1237,refute_0_1238]) ).
cnf(refute_0_1240,plain,
addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) = one,
inference(resolve,[$cnf( $equal(addition(c(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)),one) )],[refute_0_1236,refute_0_1239]) ).
cnf(refute_0_1241,plain,
c(multiplication(X_35,domain(X_36))) = antidomain(domain(multiplication(X_35,domain(X_36)))),
inference(subst,[],[refute_0_163:[bind(X0,$fot(multiplication(X_35,domain(X_36))))]]) ).
cnf(refute_0_1242,plain,
( c(multiplication(X_35,domain(X_36))) != antidomain(domain(multiplication(X_35,domain(X_36))))
| domain(multiplication(X_35,domain(X_36))) != forward_diamond(X_35,X_36)
| c(multiplication(X_35,domain(X_36))) = antidomain(forward_diamond(X_35,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_35,domain(X_36))),antidomain(domain(multiplication(X_35,domain(X_36))))) ),[1,0],$fot(forward_diamond(X_35,X_36))]]) ).
cnf(refute_0_1243,plain,
( c(multiplication(X_35,domain(X_36))) != antidomain(domain(multiplication(X_35,domain(X_36))))
| c(multiplication(X_35,domain(X_36))) = antidomain(forward_diamond(X_35,X_36)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) )],[refute_0_1233,refute_0_1242]) ).
cnf(refute_0_1244,plain,
c(multiplication(X_35,domain(X_36))) = antidomain(forward_diamond(X_35,X_36)),
inference(resolve,[$cnf( $equal(c(multiplication(X_35,domain(X_36))),antidomain(domain(multiplication(X_35,domain(X_36))))) )],[refute_0_1241,refute_0_1243]) ).
cnf(refute_0_1245,plain,
addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) = addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))),
introduced(tautology,[refl,[$fot(addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))))]]) ).
cnf(refute_0_1246,plain,
( addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) != addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36))))
| c(multiplication(X_35,domain(X_36))) != antidomain(forward_diamond(X_35,X_36))
| addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) = addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))),addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36))))) ),[1,1],$fot(antidomain(forward_diamond(X_35,X_36)))]]) ).
cnf(refute_0_1247,plain,
( c(multiplication(X_35,domain(X_36))) != antidomain(forward_diamond(X_35,X_36))
| addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) = addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))),addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36))))) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) = addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))),
inference(resolve,[$cnf( $equal(c(multiplication(X_35,domain(X_36))),antidomain(forward_diamond(X_35,X_36))) )],[refute_0_1244,refute_0_1247]) ).
cnf(refute_0_1249,plain,
( addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) != addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36)))
| addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) != one
| addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))),one) ),[0],$fot(addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))))]]) ).
cnf(refute_0_1250,plain,
( addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))) != one
| addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))) = one ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))),addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36)))) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_35,X_36),c(multiplication(X_35,domain(X_36)))),one) )],[refute_0_1240,refute_0_1250]) ).
cnf(refute_0_1252,plain,
( addition(forward_diamond(X_35,X_36),addition(antidomain(forward_diamond(X_35,X_36)),X_223)) != addition(addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))),X_223)
| addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))) != one
| addition(forward_diamond(X_35,X_36),addition(antidomain(forward_diamond(X_35,X_36)),X_223)) = addition(one,X_223) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_35,X_36),addition(antidomain(forward_diamond(X_35,X_36)),X_223)),addition(addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))),X_223)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1253,plain,
( addition(forward_diamond(X_35,X_36),addition(antidomain(forward_diamond(X_35,X_36)),X_223)) != addition(addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))),X_223)
| addition(forward_diamond(X_35,X_36),addition(antidomain(forward_diamond(X_35,X_36)),X_223)) = addition(one,X_223) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))),one) )],[refute_0_1251,refute_0_1252]) ).
cnf(refute_0_1254,plain,
addition(forward_diamond(X_35,X_36),addition(antidomain(forward_diamond(X_35,X_36)),X_223)) = addition(one,X_223),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_35,X_36),addition(antidomain(forward_diamond(X_35,X_36)),X_223)),addition(addition(forward_diamond(X_35,X_36),antidomain(forward_diamond(X_35,X_36))),X_223)) )],[refute_0_1229,refute_0_1253]) ).
cnf(refute_0_1255,plain,
addition(forward_diamond(X_2410,X_2411),addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411))))) = addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411)))),
inference(subst,[],[refute_0_1254:[bind(X_223,$fot(codomain(antidomain(forward_diamond(X_2410,X_2411))))),bind(X_35,$fot(X_2410)),bind(X_36,$fot(X_2411))]]) ).
cnf(refute_0_1256,plain,
multiplication(addition(one,antidomain(X_330)),X_157) = addition(X_157,multiplication(antidomain(X_330),X_157)),
inference(subst,[],[refute_0_24:[bind(X_156,$fot(antidomain(X_330)))]]) ).
cnf(refute_0_1257,plain,
addition(one,antidomain(X_330)) = one,
inference(subst,[],[refute_0_104:[bind(X0,$fot(X_330))]]) ).
cnf(refute_0_1258,plain,
( addition(one,antidomain(X_330)) != one
| multiplication(addition(one,antidomain(X_330)),X_157) != addition(X_157,multiplication(antidomain(X_330),X_157))
| multiplication(one,X_157) = addition(X_157,multiplication(antidomain(X_330),X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_330)),X_157),addition(X_157,multiplication(antidomain(X_330),X_157))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_1259,plain,
( multiplication(addition(one,antidomain(X_330)),X_157) != addition(X_157,multiplication(antidomain(X_330),X_157))
| multiplication(one,X_157) = addition(X_157,multiplication(antidomain(X_330),X_157)) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_330)),one) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
multiplication(one,X_157) = addition(X_157,multiplication(antidomain(X_330),X_157)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_330)),X_157),addition(X_157,multiplication(antidomain(X_330),X_157))) )],[refute_0_1256,refute_0_1259]) ).
cnf(refute_0_1261,plain,
( multiplication(one,X_157) != X_157
| multiplication(one,X_157) != addition(X_157,multiplication(antidomain(X_330),X_157))
| X_157 = addition(X_157,multiplication(antidomain(X_330),X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_157),addition(X_157,multiplication(antidomain(X_330),X_157))) ),[0],$fot(X_157)]]) ).
cnf(refute_0_1262,plain,
( multiplication(one,X_157) != addition(X_157,multiplication(antidomain(X_330),X_157))
| X_157 = addition(X_157,multiplication(antidomain(X_330),X_157)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_157),X_157) )],[refute_0_21,refute_0_1261]) ).
cnf(refute_0_1263,plain,
X_157 = addition(X_157,multiplication(antidomain(X_330),X_157)),
inference(resolve,[$cnf( $equal(multiplication(one,X_157),addition(X_157,multiplication(antidomain(X_330),X_157))) )],[refute_0_1260,refute_0_1262]) ).
cnf(refute_0_1264,plain,
codomain(antidomain(X_2270)) = addition(codomain(antidomain(X_2270)),multiplication(antidomain(X_2270),codomain(antidomain(X_2270)))),
inference(subst,[],[refute_0_1263:[bind(X_157,$fot(codomain(antidomain(X_2270)))),bind(X_330,$fot(X_2270))]]) ).
cnf(refute_0_1265,plain,
antidomain(X_2270) = multiplication(antidomain(X_2270),codomain(antidomain(X_2270))),
inference(subst,[],[refute_0_635:[bind(X_818,$fot(antidomain(X_2270)))]]) ).
cnf(refute_0_1266,plain,
( antidomain(X_2270) != multiplication(antidomain(X_2270),codomain(antidomain(X_2270)))
| multiplication(antidomain(X_2270),codomain(antidomain(X_2270))) = antidomain(X_2270) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(antidomain(X_2270))),bind(Y,$fot(multiplication(antidomain(X_2270),codomain(antidomain(X_2270)))))]]) ).
cnf(refute_0_1267,plain,
multiplication(antidomain(X_2270),codomain(antidomain(X_2270))) = antidomain(X_2270),
inference(resolve,[$cnf( $equal(antidomain(X_2270),multiplication(antidomain(X_2270),codomain(antidomain(X_2270)))) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
( codomain(antidomain(X_2270)) != addition(codomain(antidomain(X_2270)),multiplication(antidomain(X_2270),codomain(antidomain(X_2270))))
| multiplication(antidomain(X_2270),codomain(antidomain(X_2270))) != antidomain(X_2270)
| codomain(antidomain(X_2270)) = addition(codomain(antidomain(X_2270)),antidomain(X_2270)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(antidomain(X_2270)),addition(codomain(antidomain(X_2270)),multiplication(antidomain(X_2270),codomain(antidomain(X_2270))))) ),[1,1],$fot(antidomain(X_2270))]]) ).
cnf(refute_0_1269,plain,
( codomain(antidomain(X_2270)) != addition(codomain(antidomain(X_2270)),multiplication(antidomain(X_2270),codomain(antidomain(X_2270))))
| codomain(antidomain(X_2270)) = addition(codomain(antidomain(X_2270)),antidomain(X_2270)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_2270),codomain(antidomain(X_2270))),antidomain(X_2270)) )],[refute_0_1267,refute_0_1268]) ).
cnf(refute_0_1270,plain,
codomain(antidomain(X_2270)) = addition(codomain(antidomain(X_2270)),antidomain(X_2270)),
inference(resolve,[$cnf( $equal(codomain(antidomain(X_2270)),addition(codomain(antidomain(X_2270)),multiplication(antidomain(X_2270),codomain(antidomain(X_2270))))) )],[refute_0_1264,refute_0_1269]) ).
cnf(refute_0_1271,plain,
addition(A,addition(antidomain(X_1745),antidomain(domain_difference(X_1745,antidomain(X_1745))))) = addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)),
inference(subst,[],[refute_0_587:[bind(X_221,$fot(antidomain(X_1745))),bind(X_222,$fot(antidomain(domain_difference(X_1745,antidomain(X_1745)))))]]) ).
cnf(refute_0_1272,plain,
addition(antidomain(multiplication(domain(X_1000),X_1000)),antidomain(multiplication(domain(X_1000),domain(X_1000)))) = antidomain(multiplication(domain(X_1000),domain(X_1000))),
inference(subst,[],[refute_0_364:[bind(X0,$fot(domain(X_1000))),bind(X1,$fot(X_1000))]]) ).
cnf(refute_0_1273,plain,
X_1000 = multiplication(domain(X_1000),X_1000),
inference(subst,[],[refute_0_149:[bind(X_505,$fot(X_1000))]]) ).
cnf(refute_0_1274,plain,
( X_1000 != multiplication(domain(X_1000),X_1000)
| multiplication(domain(X_1000),X_1000) = X_1000 ),
inference(subst,[],[refute_0_40:[bind(X,$fot(X_1000)),bind(Y,$fot(multiplication(domain(X_1000),X_1000)))]]) ).
cnf(refute_0_1275,plain,
multiplication(domain(X_1000),X_1000) = X_1000,
inference(resolve,[$cnf( $equal(X_1000,multiplication(domain(X_1000),X_1000)) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
( addition(antidomain(multiplication(domain(X_1000),X_1000)),antidomain(multiplication(domain(X_1000),domain(X_1000)))) != antidomain(multiplication(domain(X_1000),domain(X_1000)))
| multiplication(domain(X_1000),X_1000) != X_1000
| addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) = antidomain(multiplication(domain(X_1000),domain(X_1000))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(domain(X_1000),X_1000)),antidomain(multiplication(domain(X_1000),domain(X_1000)))),antidomain(multiplication(domain(X_1000),domain(X_1000)))) ),[0,0,0],$fot(X_1000)]]) ).
cnf(refute_0_1277,plain,
( addition(antidomain(multiplication(domain(X_1000),X_1000)),antidomain(multiplication(domain(X_1000),domain(X_1000)))) != antidomain(multiplication(domain(X_1000),domain(X_1000)))
| addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) = antidomain(multiplication(domain(X_1000),domain(X_1000))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1000),X_1000),X_1000) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) = antidomain(multiplication(domain(X_1000),domain(X_1000))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X_1000),X_1000)),antidomain(multiplication(domain(X_1000),domain(X_1000)))),antidomain(multiplication(domain(X_1000),domain(X_1000)))) )],[refute_0_1272,refute_0_1277]) ).
cnf(refute_0_1279,plain,
( domain_difference(X_31,antidomain(X0)) != multiplication(domain(X_31),domain(X0))
| multiplication(domain(X_31),domain(X0)) = domain_difference(X_31,antidomain(X0)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain_difference(X_31,antidomain(X0)))),bind(Y,$fot(multiplication(domain(X_31),domain(X0))))]]) ).
cnf(refute_0_1280,plain,
multiplication(domain(X_31),domain(X0)) = domain_difference(X_31,antidomain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_31,antidomain(X0)),multiplication(domain(X_31),domain(X0))) )],[refute_0_872,refute_0_1279]) ).
cnf(refute_0_1281,plain,
multiplication(domain(X_1000),domain(X_1000)) = domain_difference(X_1000,antidomain(X_1000)),
inference(subst,[],[refute_0_1280:[bind(X0,$fot(X_1000)),bind(X_31,$fot(X_1000))]]) ).
cnf(refute_0_1282,plain,
antidomain(multiplication(domain(X_1000),domain(X_1000))) = antidomain(multiplication(domain(X_1000),domain(X_1000))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(domain(X_1000),domain(X_1000))))]]) ).
cnf(refute_0_1283,plain,
( antidomain(multiplication(domain(X_1000),domain(X_1000))) != antidomain(multiplication(domain(X_1000),domain(X_1000)))
| multiplication(domain(X_1000),domain(X_1000)) != domain_difference(X_1000,antidomain(X_1000))
| antidomain(multiplication(domain(X_1000),domain(X_1000))) = antidomain(domain_difference(X_1000,antidomain(X_1000))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(domain(X_1000),domain(X_1000))),antidomain(multiplication(domain(X_1000),domain(X_1000)))) ),[1,0],$fot(domain_difference(X_1000,antidomain(X_1000)))]]) ).
cnf(refute_0_1284,plain,
( multiplication(domain(X_1000),domain(X_1000)) != domain_difference(X_1000,antidomain(X_1000))
| antidomain(multiplication(domain(X_1000),domain(X_1000))) = antidomain(domain_difference(X_1000,antidomain(X_1000))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(domain(X_1000),domain(X_1000))),antidomain(multiplication(domain(X_1000),domain(X_1000)))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
antidomain(multiplication(domain(X_1000),domain(X_1000))) = antidomain(domain_difference(X_1000,antidomain(X_1000))),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1000),domain(X_1000)),domain_difference(X_1000,antidomain(X_1000))) )],[refute_0_1281,refute_0_1284]) ).
cnf(refute_0_1286,plain,
addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) = addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))),
introduced(tautology,[refl,[$fot(addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))))]]) ).
cnf(refute_0_1287,plain,
( addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) != addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000))))
| antidomain(multiplication(domain(X_1000),domain(X_1000))) != antidomain(domain_difference(X_1000,antidomain(X_1000)))
| addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) = addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))),addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000))))) ),[1,1],$fot(antidomain(domain_difference(X_1000,antidomain(X_1000))))]]) ).
cnf(refute_0_1288,plain,
( antidomain(multiplication(domain(X_1000),domain(X_1000))) != antidomain(domain_difference(X_1000,antidomain(X_1000)))
| addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) = addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))),addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000))))) )],[refute_0_1286,refute_0_1287]) ).
cnf(refute_0_1289,plain,
addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) = addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(domain(X_1000),domain(X_1000))),antidomain(domain_difference(X_1000,antidomain(X_1000)))) )],[refute_0_1285,refute_0_1288]) ).
cnf(refute_0_1290,plain,
( addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) != addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000))))
| addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) != antidomain(multiplication(domain(X_1000),domain(X_1000)))
| addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) = antidomain(multiplication(domain(X_1000),domain(X_1000))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))),antidomain(multiplication(domain(X_1000),domain(X_1000)))) ),[0],$fot(addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))))]]) ).
cnf(refute_0_1291,plain,
( addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) != antidomain(multiplication(domain(X_1000),domain(X_1000)))
| addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) = antidomain(multiplication(domain(X_1000),domain(X_1000))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))),addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000))))) )],[refute_0_1289,refute_0_1290]) ).
cnf(refute_0_1292,plain,
( addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) != antidomain(multiplication(domain(X_1000),domain(X_1000)))
| antidomain(multiplication(domain(X_1000),domain(X_1000))) != antidomain(domain_difference(X_1000,antidomain(X_1000)))
| addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) = antidomain(domain_difference(X_1000,antidomain(X_1000))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))),antidomain(domain_difference(X_1000,antidomain(X_1000)))) ),[0],$fot(antidomain(multiplication(domain(X_1000),domain(X_1000))))]]) ).
cnf(refute_0_1293,plain,
( addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) != antidomain(multiplication(domain(X_1000),domain(X_1000)))
| addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) = antidomain(domain_difference(X_1000,antidomain(X_1000))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(domain(X_1000),domain(X_1000))),antidomain(domain_difference(X_1000,antidomain(X_1000)))) )],[refute_0_1285,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))) != antidomain(multiplication(domain(X_1000),domain(X_1000)))
| addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) = antidomain(domain_difference(X_1000,antidomain(X_1000))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))),antidomain(multiplication(domain(X_1000),domain(X_1000)))) )],[refute_0_1291,refute_0_1293]) ).
cnf(refute_0_1295,plain,
addition(antidomain(X_1000),antidomain(domain_difference(X_1000,antidomain(X_1000)))) = antidomain(domain_difference(X_1000,antidomain(X_1000))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1000),antidomain(multiplication(domain(X_1000),domain(X_1000)))),antidomain(multiplication(domain(X_1000),domain(X_1000)))) )],[refute_0_1278,refute_0_1294]) ).
cnf(refute_0_1296,plain,
addition(antidomain(X_1745),antidomain(domain_difference(X_1745,antidomain(X_1745)))) = antidomain(domain_difference(X_1745,antidomain(X_1745))),
inference(subst,[],[refute_0_1295:[bind(X_1000,$fot(X_1745))]]) ).
cnf(refute_0_1297,plain,
( addition(A,addition(antidomain(X_1745),antidomain(domain_difference(X_1745,antidomain(X_1745))))) != addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))
| addition(antidomain(X_1745),antidomain(domain_difference(X_1745,antidomain(X_1745)))) != antidomain(domain_difference(X_1745,antidomain(X_1745)))
| addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) = addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(antidomain(X_1745),antidomain(domain_difference(X_1745,antidomain(X_1745))))),addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))) ),[0,1],$fot(antidomain(domain_difference(X_1745,antidomain(X_1745))))]]) ).
cnf(refute_0_1298,plain,
( addition(A,addition(antidomain(X_1745),antidomain(domain_difference(X_1745,antidomain(X_1745))))) != addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))
| addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) = addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1745),antidomain(domain_difference(X_1745,antidomain(X_1745)))),antidomain(domain_difference(X_1745,antidomain(X_1745)))) )],[refute_0_1296,refute_0_1297]) ).
cnf(refute_0_1299,plain,
addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) = addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)),
inference(resolve,[$cnf( $equal(addition(A,addition(antidomain(X_1745),antidomain(domain_difference(X_1745,antidomain(X_1745))))),addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))) )],[refute_0_1271,refute_0_1298]) ).
cnf(refute_0_1300,plain,
antidomain(domain(X_1745)) = antidomain(X_1745),
inference(subst,[],[refute_0_276:[bind(X0,$fot(X_1745))]]) ).
cnf(refute_0_1301,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))) = multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))),
inference(subst,[],[refute_0_35:[bind(X_239,$fot(c(c(X_680)))),bind(X_240,$fot(antidomain(domain_difference(domain(X_680),c(X_680)))))]]) ).
cnf(refute_0_1302,plain,
addition(antidomain(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiplication(X_35,domain(X_36))))]]) ).
cnf(refute_0_1303,plain,
( addition(antidomain(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))) != one
| domain(multiplication(X_35,domain(X_36))) != forward_diamond(X_35,X_36)
| addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))),one) ),[0,1],$fot(forward_diamond(X_35,X_36))]]) ).
cnf(refute_0_1304,plain,
( addition(antidomain(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))) != one
| addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) = one ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) )],[refute_0_1233,refute_0_1303]) ).
cnf(refute_0_1305,plain,
addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_35,domain(X_36))),domain(multiplication(X_35,domain(X_36)))),one) )],[refute_0_1302,refute_0_1304]) ).
cnf(refute_0_1306,plain,
addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) = addition(forward_diamond(X_35,X_36),antidomain(multiplication(X_35,domain(X_36)))),
inference(subst,[],[refute_0_42:[bind(A,$fot(forward_diamond(X_35,X_36))),bind(B,$fot(antidomain(multiplication(X_35,domain(X_36)))))]]) ).
cnf(refute_0_1307,plain,
( addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) != addition(forward_diamond(X_35,X_36),antidomain(multiplication(X_35,domain(X_36))))
| addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) != one
| addition(forward_diamond(X_35,X_36),antidomain(multiplication(X_35,domain(X_36)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)),one) ),[0],$fot(addition(forward_diamond(X_35,X_36),antidomain(multiplication(X_35,domain(X_36)))))]]) ).
cnf(refute_0_1308,plain,
( addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)) != one
| addition(forward_diamond(X_35,X_36),antidomain(multiplication(X_35,domain(X_36)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)),addition(forward_diamond(X_35,X_36),antidomain(multiplication(X_35,domain(X_36))))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
addition(forward_diamond(X_35,X_36),antidomain(multiplication(X_35,domain(X_36)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_35,domain(X_36))),forward_diamond(X_35,X_36)),one) )],[refute_0_1305,refute_0_1308]) ).
cnf(refute_0_1310,plain,
addition(forward_diamond(X_132,domain(X0)),antidomain(multiplication(X_132,domain(domain(X0))))) = one,
inference(subst,[],[refute_0_1309:[bind(X_35,$fot(X_132)),bind(X_36,$fot(domain(X0)))]]) ).
cnf(refute_0_1311,plain,
( addition(forward_diamond(X_132,domain(X0)),antidomain(multiplication(X_132,domain(domain(X0))))) != one
| domain(domain(X0)) != antidomain(c(X0))
| addition(forward_diamond(X_132,domain(X0)),antidomain(multiplication(X_132,antidomain(c(X0))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_132,domain(X0)),antidomain(multiplication(X_132,domain(domain(X0))))),one) ),[0,1,0,1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1312,plain,
( addition(forward_diamond(X_132,domain(X0)),antidomain(multiplication(X_132,domain(domain(X0))))) != one
| addition(forward_diamond(X_132,domain(X0)),antidomain(multiplication(X_132,antidomain(c(X0))))) = one ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_188,refute_0_1311]) ).
cnf(refute_0_1313,plain,
addition(forward_diamond(X_132,domain(X0)),antidomain(multiplication(X_132,antidomain(c(X0))))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_132,domain(X0)),antidomain(multiplication(X_132,domain(domain(X0))))),one) )],[refute_0_1310,refute_0_1312]) ).
cnf(refute_0_1314,plain,
addition(forward_diamond(domain(domain(X_680)),domain(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = one,
inference(subst,[],[refute_0_1313:[bind(X0,$fot(X_680)),bind(X_132,$fot(domain(domain(X_680))))]]) ).
cnf(refute_0_1315,plain,
forward_diamond(addition(antidomain(domain(X1)),X_504),X1) = domain(multiplication(addition(antidomain(domain(X1)),X_504),domain(X1))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(addition(antidomain(domain(X1)),X_504)))]]) ).
cnf(refute_0_1316,plain,
multiplication(addition(antidomain(domain(X1)),X_504),domain(X1)) = multiplication(X_504,domain(X1)),
inference(subst,[],[refute_0_140:[bind(X_156,$fot(X_504)),bind(X_157,$fot(domain(X1)))]]) ).
cnf(refute_0_1317,plain,
( forward_diamond(addition(antidomain(domain(X1)),X_504),X1) != domain(multiplication(addition(antidomain(domain(X1)),X_504),domain(X1)))
| multiplication(addition(antidomain(domain(X1)),X_504),domain(X1)) != multiplication(X_504,domain(X1))
| forward_diamond(addition(antidomain(domain(X1)),X_504),X1) = domain(multiplication(X_504,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(addition(antidomain(domain(X1)),X_504),X1),domain(multiplication(addition(antidomain(domain(X1)),X_504),domain(X1)))) ),[1,0],$fot(multiplication(X_504,domain(X1)))]]) ).
cnf(refute_0_1318,plain,
( forward_diamond(addition(antidomain(domain(X1)),X_504),X1) != domain(multiplication(addition(antidomain(domain(X1)),X_504),domain(X1)))
| forward_diamond(addition(antidomain(domain(X1)),X_504),X1) = domain(multiplication(X_504,domain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(domain(X1)),X_504),domain(X1)),multiplication(X_504,domain(X1))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
forward_diamond(addition(antidomain(domain(X1)),X_504),X1) = domain(multiplication(X_504,domain(X1))),
inference(resolve,[$cnf( $equal(forward_diamond(addition(antidomain(domain(X1)),X_504),X1),domain(multiplication(addition(antidomain(domain(X1)),X_504),domain(X1)))) )],[refute_0_1315,refute_0_1318]) ).
cnf(refute_0_1320,plain,
antidomain(domain(X1)) = c(X1),
inference(subst,[],[refute_0_165:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_1321,plain,
addition(antidomain(domain(X1)),X_504) = addition(antidomain(domain(X1)),X_504),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X1)),X_504))]]) ).
cnf(refute_0_1322,plain,
( addition(antidomain(domain(X1)),X_504) != addition(antidomain(domain(X1)),X_504)
| antidomain(domain(X1)) != c(X1)
| addition(antidomain(domain(X1)),X_504) = addition(c(X1),X_504) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X1)),X_504),addition(antidomain(domain(X1)),X_504)) ),[1,0],$fot(c(X1))]]) ).
cnf(refute_0_1323,plain,
( antidomain(domain(X1)) != c(X1)
| addition(antidomain(domain(X1)),X_504) = addition(c(X1),X_504) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X1)),X_504),addition(antidomain(domain(X1)),X_504)) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
addition(antidomain(domain(X1)),X_504) = addition(c(X1),X_504),
inference(resolve,[$cnf( $equal(antidomain(domain(X1)),c(X1)) )],[refute_0_1320,refute_0_1323]) ).
cnf(refute_0_1325,plain,
forward_diamond(addition(antidomain(domain(X1)),X_504),X1) = forward_diamond(addition(antidomain(domain(X1)),X_504),X1),
introduced(tautology,[refl,[$fot(forward_diamond(addition(antidomain(domain(X1)),X_504),X1))]]) ).
cnf(refute_0_1326,plain,
( addition(antidomain(domain(X1)),X_504) != addition(c(X1),X_504)
| forward_diamond(addition(antidomain(domain(X1)),X_504),X1) != forward_diamond(addition(antidomain(domain(X1)),X_504),X1)
| forward_diamond(addition(antidomain(domain(X1)),X_504),X1) = forward_diamond(addition(c(X1),X_504),X1) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(addition(antidomain(domain(X1)),X_504),X1),forward_diamond(addition(antidomain(domain(X1)),X_504),X1)) ),[1,0],$fot(addition(c(X1),X_504))]]) ).
cnf(refute_0_1327,plain,
( addition(antidomain(domain(X1)),X_504) != addition(c(X1),X_504)
| forward_diamond(addition(antidomain(domain(X1)),X_504),X1) = forward_diamond(addition(c(X1),X_504),X1) ),
inference(resolve,[$cnf( $equal(forward_diamond(addition(antidomain(domain(X1)),X_504),X1),forward_diamond(addition(antidomain(domain(X1)),X_504),X1)) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
forward_diamond(addition(antidomain(domain(X1)),X_504),X1) = forward_diamond(addition(c(X1),X_504),X1),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X1)),X_504),addition(c(X1),X_504)) )],[refute_0_1324,refute_0_1327]) ).
cnf(refute_0_1329,plain,
( forward_diamond(addition(antidomain(domain(X1)),X_504),X1) != domain(multiplication(X_504,domain(X1)))
| forward_diamond(addition(antidomain(domain(X1)),X_504),X1) != forward_diamond(addition(c(X1),X_504),X1)
| forward_diamond(addition(c(X1),X_504),X1) = domain(multiplication(X_504,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(addition(antidomain(domain(X1)),X_504),X1),domain(multiplication(X_504,domain(X1)))) ),[0],$fot(forward_diamond(addition(c(X1),X_504),X1))]]) ).
cnf(refute_0_1330,plain,
( forward_diamond(addition(antidomain(domain(X1)),X_504),X1) != domain(multiplication(X_504,domain(X1)))
| forward_diamond(addition(c(X1),X_504),X1) = domain(multiplication(X_504,domain(X1))) ),
inference(resolve,[$cnf( $equal(forward_diamond(addition(antidomain(domain(X1)),X_504),X1),forward_diamond(addition(c(X1),X_504),X1)) )],[refute_0_1328,refute_0_1329]) ).
cnf(refute_0_1331,plain,
domain(multiplication(X_504,domain(X1))) = forward_diamond(X_504,X1),
inference(subst,[],[refute_0_491:[bind(X0,$fot(X_504))]]) ).
cnf(refute_0_1332,plain,
( domain(multiplication(X_504,domain(X1))) != forward_diamond(X_504,X1)
| forward_diamond(addition(c(X1),X_504),X1) != domain(multiplication(X_504,domain(X1)))
| forward_diamond(addition(c(X1),X_504),X1) = forward_diamond(X_504,X1) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(addition(c(X1),X_504),X1),domain(multiplication(X_504,domain(X1)))) ),[1],$fot(forward_diamond(X_504,X1))]]) ).
cnf(refute_0_1333,plain,
( forward_diamond(addition(c(X1),X_504),X1) != domain(multiplication(X_504,domain(X1)))
| forward_diamond(addition(c(X1),X_504),X1) = forward_diamond(X_504,X1) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_504,domain(X1))),forward_diamond(X_504,X1)) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
( forward_diamond(addition(antidomain(domain(X1)),X_504),X1) != domain(multiplication(X_504,domain(X1)))
| forward_diamond(addition(c(X1),X_504),X1) = forward_diamond(X_504,X1) ),
inference(resolve,[$cnf( $equal(forward_diamond(addition(c(X1),X_504),X1),domain(multiplication(X_504,domain(X1)))) )],[refute_0_1330,refute_0_1333]) ).
cnf(refute_0_1335,plain,
forward_diamond(addition(c(X1),X_504),X1) = forward_diamond(X_504,X1),
inference(resolve,[$cnf( $equal(forward_diamond(addition(antidomain(domain(X1)),X_504),X1),domain(multiplication(X_504,domain(X1)))) )],[refute_0_1319,refute_0_1334]) ).
cnf(refute_0_1336,plain,
forward_diamond(addition(c(X_554),domain(X_554)),X_554) = forward_diamond(domain(X_554),X_554),
inference(subst,[],[refute_0_1335:[bind(X1,$fot(X_554)),bind(X_504,$fot(domain(X_554)))]]) ).
cnf(refute_0_1337,plain,
addition(c(X_554),domain(X_554)) = one,
inference(subst,[],[refute_0_790:[bind(X_8,$fot(X_554))]]) ).
cnf(refute_0_1338,plain,
( addition(c(X_554),domain(X_554)) != one
| forward_diamond(addition(c(X_554),domain(X_554)),X_554) != forward_diamond(domain(X_554),X_554)
| forward_diamond(one,X_554) = forward_diamond(domain(X_554),X_554) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(addition(c(X_554),domain(X_554)),X_554),forward_diamond(domain(X_554),X_554)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_1339,plain,
( forward_diamond(addition(c(X_554),domain(X_554)),X_554) != forward_diamond(domain(X_554),X_554)
| forward_diamond(one,X_554) = forward_diamond(domain(X_554),X_554) ),
inference(resolve,[$cnf( $equal(addition(c(X_554),domain(X_554)),one) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
forward_diamond(one,X_554) = forward_diamond(domain(X_554),X_554),
inference(resolve,[$cnf( $equal(forward_diamond(addition(c(X_554),domain(X_554)),X_554),forward_diamond(domain(X_554),X_554)) )],[refute_0_1336,refute_0_1339]) ).
cnf(refute_0_1341,plain,
forward_diamond(one,X_554) = antidomain(c(X_554)),
inference(subst,[],[refute_0_213:[bind(X_36,$fot(X_554))]]) ).
cnf(refute_0_1342,plain,
( forward_diamond(one,X_554) != antidomain(c(X_554))
| forward_diamond(one,X_554) != forward_diamond(domain(X_554),X_554)
| antidomain(c(X_554)) = forward_diamond(domain(X_554),X_554) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,X_554),forward_diamond(domain(X_554),X_554)) ),[0],$fot(antidomain(c(X_554)))]]) ).
cnf(refute_0_1343,plain,
( forward_diamond(one,X_554) != forward_diamond(domain(X_554),X_554)
| antidomain(c(X_554)) = forward_diamond(domain(X_554),X_554) ),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_554),antidomain(c(X_554))) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
antidomain(c(X_554)) = forward_diamond(domain(X_554),X_554),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_554),forward_diamond(domain(X_554),X_554)) )],[refute_0_1340,refute_0_1343]) ).
cnf(refute_0_1345,plain,
antidomain(c(domain(X_680))) = forward_diamond(domain(domain(X_680)),domain(X_680)),
inference(subst,[],[refute_0_1344:[bind(X_554,$fot(domain(X_680)))]]) ).
cnf(refute_0_1346,plain,
( antidomain(c(domain(X_680))) != forward_diamond(domain(domain(X_680)),domain(X_680))
| forward_diamond(domain(domain(X_680)),domain(X_680)) = antidomain(c(domain(X_680))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(antidomain(c(domain(X_680))))),bind(Y,$fot(forward_diamond(domain(domain(X_680)),domain(X_680))))]]) ).
cnf(refute_0_1347,plain,
forward_diamond(domain(domain(X_680)),domain(X_680)) = antidomain(c(domain(X_680))),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_680))),forward_diamond(domain(domain(X_680)),domain(X_680))) )],[refute_0_1345,refute_0_1346]) ).
cnf(refute_0_1348,plain,
( addition(forward_diamond(domain(domain(X_680)),domain(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != one
| forward_diamond(domain(domain(X_680)),domain(X_680)) != antidomain(c(domain(X_680)))
| addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(domain(domain(X_680)),domain(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),one) ),[0,0],$fot(antidomain(c(domain(X_680))))]]) ).
cnf(refute_0_1349,plain,
( addition(forward_diamond(domain(domain(X_680)),domain(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != one
| addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = one ),
inference(resolve,[$cnf( $equal(forward_diamond(domain(domain(X_680)),domain(X_680)),antidomain(c(domain(X_680)))) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(domain(domain(X_680)),domain(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),one) )],[refute_0_1314,refute_0_1349]) ).
cnf(refute_0_1351,plain,
( domain_difference(X0,X1) != multiplication(domain(X0),antidomain(X1))
| multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain_difference(X0,X1))),bind(Y,$fot(multiplication(domain(X0),antidomain(X1))))]]) ).
cnf(refute_0_1352,plain,
multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(resolve,[$cnf( $equal(domain_difference(X0,X1),multiplication(domain(X0),antidomain(X1))) )],[refute_0_242,refute_0_1351]) ).
cnf(refute_0_1353,plain,
multiplication(domain(domain(X_680)),antidomain(c(X_680))) = domain_difference(domain(X_680),c(X_680)),
inference(subst,[],[refute_0_1352:[bind(X0,$fot(domain(X_680))),bind(X1,$fot(c(X_680)))]]) ).
cnf(refute_0_1354,plain,
antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))) = antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))]]) ).
cnf(refute_0_1355,plain,
( antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))) != antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))
| multiplication(domain(domain(X_680)),antidomain(c(X_680))) != domain_difference(domain(X_680),c(X_680))
| antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))) = antidomain(domain_difference(domain(X_680),c(X_680))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) ),[1,0],$fot(domain_difference(domain(X_680),c(X_680)))]]) ).
cnf(refute_0_1356,plain,
( multiplication(domain(domain(X_680)),antidomain(c(X_680))) != domain_difference(domain(X_680),c(X_680))
| antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))) = antidomain(domain_difference(domain(X_680),c(X_680))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) )],[refute_0_1354,refute_0_1355]) ).
cnf(refute_0_1357,plain,
antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))) = antidomain(domain_difference(domain(X_680),c(X_680))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_680)),antidomain(c(X_680))),domain_difference(domain(X_680),c(X_680))) )],[refute_0_1353,refute_0_1356]) ).
cnf(refute_0_1358,plain,
addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),
introduced(tautology,[refl,[$fot(addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))))]]) ).
cnf(refute_0_1359,plain,
( addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))
| antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))) != antidomain(domain_difference(domain(X_680),c(X_680)))
| addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))) ),[1,1],$fot(antidomain(domain_difference(domain(X_680),c(X_680))))]]) ).
cnf(refute_0_1360,plain,
( antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))) != antidomain(domain_difference(domain(X_680),c(X_680)))
| addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))) ),
inference(resolve,[$cnf( $equal(addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))),antidomain(domain_difference(domain(X_680),c(X_680)))) )],[refute_0_1357,refute_0_1360]) ).
cnf(refute_0_1362,plain,
c(c(X_15)) = antidomain(domain(c(X_15))),
inference(subst,[],[refute_0_163:[bind(X0,$fot(c(X_15)))]]) ).
cnf(refute_0_1363,plain,
domain(c(X_15)) = c(domain(X_15)),
inference(subst,[],[refute_0_855:[bind(X_11,$fot(X_15))]]) ).
cnf(refute_0_1364,plain,
( c(c(X_15)) != antidomain(domain(c(X_15)))
| domain(c(X_15)) != c(domain(X_15))
| c(c(X_15)) = antidomain(c(domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(X_15)),antidomain(domain(c(X_15)))) ),[1,0],$fot(c(domain(X_15)))]]) ).
cnf(refute_0_1365,plain,
( c(c(X_15)) != antidomain(domain(c(X_15)))
| c(c(X_15)) = antidomain(c(domain(X_15))) ),
inference(resolve,[$cnf( $equal(domain(c(X_15)),c(domain(X_15))) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
c(c(X_15)) = antidomain(c(domain(X_15))),
inference(resolve,[$cnf( $equal(c(c(X_15)),antidomain(domain(c(X_15)))) )],[refute_0_1362,refute_0_1365]) ).
cnf(refute_0_1367,plain,
( c(c(X_15)) != antidomain(c(domain(X_15)))
| antidomain(c(domain(X_15))) = c(c(X_15)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(c(c(X_15)))),bind(Y,$fot(antidomain(c(domain(X_15)))))]]) ).
cnf(refute_0_1368,plain,
antidomain(c(domain(X_15))) = c(c(X_15)),
inference(resolve,[$cnf( $equal(c(c(X_15)),antidomain(c(domain(X_15)))) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
antidomain(c(domain(X_680))) = c(c(X_680)),
inference(subst,[],[refute_0_1368:[bind(X_15,$fot(X_680))]]) ).
cnf(refute_0_1370,plain,
addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),
introduced(tautology,[refl,[$fot(addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))))]]) ).
cnf(refute_0_1371,plain,
( addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))
| antidomain(c(domain(X_680))) != c(c(X_680))
| addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))) ),[1,0],$fot(c(c(X_680)))]]) ).
cnf(refute_0_1372,plain,
( antidomain(c(domain(X_680))) != c(c(X_680))
| addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))) )],[refute_0_1370,refute_0_1371]) ).
cnf(refute_0_1373,plain,
addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_680))),c(c(X_680))) )],[refute_0_1369,refute_0_1372]) ).
cnf(refute_0_1374,plain,
( addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))
| addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))
| addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))))),bind(Y,$fot(addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))))),bind(Z,$fot(addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))))]]) ).
cnf(refute_0_1375,plain,
( addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))
| addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680)))))) )],[refute_0_1373,refute_0_1374]) ).
cnf(refute_0_1376,plain,
addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) = addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))),
inference(resolve,[$cnf( $equal(addition(c(c(X_680)),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))) )],[refute_0_1361,refute_0_1375]) ).
cnf(refute_0_1377,plain,
( addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))
| addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != one
| addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),one) ),[0],$fot(addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))))]]) ).
cnf(refute_0_1378,plain,
( addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))) != one
| addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))) )],[refute_0_1376,refute_0_1377]) ).
cnf(refute_0_1379,plain,
addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(c(domain(X_680))),antidomain(multiplication(domain(domain(X_680)),antidomain(c(X_680))))),one) )],[refute_0_1350,refute_0_1378]) ).
cnf(refute_0_1380,plain,
( addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))) != one
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))) != multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))),multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1381,plain,
( multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))) != multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) ),
inference(resolve,[$cnf( $equal(addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680)))),one) )],[refute_0_1379,refute_0_1380]) ).
cnf(refute_0_1382,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),addition(c(c(X_680)),antidomain(domain_difference(domain(X_680),c(X_680))))),multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))) )],[refute_0_1301,refute_0_1381]) ).
cnf(refute_0_1383,plain,
antidomain(antidomain(X_680)) = domain(X_680),
inference(subst,[],[refute_0_87:[bind(X0,$fot(X_680))]]) ).
cnf(refute_0_1384,plain,
c(X_680) = antidomain(X_680),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_680))]]) ).
cnf(refute_0_1385,plain,
antidomain(c(X_680)) = antidomain(c(X_680)),
introduced(tautology,[refl,[$fot(antidomain(c(X_680)))]]) ).
cnf(refute_0_1386,plain,
( antidomain(c(X_680)) != antidomain(c(X_680))
| c(X_680) != antidomain(X_680)
| antidomain(c(X_680)) = antidomain(antidomain(X_680)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_680)),antidomain(c(X_680))) ),[1,0],$fot(antidomain(X_680))]]) ).
cnf(refute_0_1387,plain,
( c(X_680) != antidomain(X_680)
| antidomain(c(X_680)) = antidomain(antidomain(X_680)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_680)),antidomain(c(X_680))) )],[refute_0_1385,refute_0_1386]) ).
cnf(refute_0_1388,plain,
antidomain(c(X_680)) = antidomain(antidomain(X_680)),
inference(resolve,[$cnf( $equal(c(X_680),antidomain(X_680)) )],[refute_0_1384,refute_0_1387]) ).
cnf(refute_0_1389,plain,
( antidomain(antidomain(X_680)) != domain(X_680)
| antidomain(c(X_680)) != antidomain(antidomain(X_680))
| antidomain(c(X_680)) = domain(X_680) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(X_680)))),bind(Y,$fot(antidomain(antidomain(X_680)))),bind(Z,$fot(domain(X_680)))]]) ).
cnf(refute_0_1390,plain,
( antidomain(antidomain(X_680)) != domain(X_680)
| antidomain(c(X_680)) = domain(X_680) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_680)),antidomain(antidomain(X_680))) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
antidomain(c(X_680)) = domain(X_680),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_680)),domain(X_680)) )],[refute_0_1383,refute_0_1390]) ).
cnf(refute_0_1392,plain,
c(c(X_680)) = antidomain(c(X_680)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(c(X_680)))]]) ).
cnf(refute_0_1393,plain,
antidomain(c(domain(X0))) = forward_diamond(domain(domain(X0)),domain(X0)),
inference(subst,[],[refute_0_1344:[bind(X_554,$fot(domain(X0)))]]) ).
cnf(refute_0_1394,plain,
( antidomain(c(domain(X0))) != forward_diamond(domain(domain(X0)),domain(X0))
| domain(domain(X0)) != antidomain(c(X0))
| antidomain(c(domain(X0))) = forward_diamond(antidomain(c(X0)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(domain(X0))),forward_diamond(domain(domain(X0)),domain(X0))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1395,plain,
( antidomain(c(domain(X0))) != forward_diamond(domain(domain(X0)),domain(X0))
| antidomain(c(domain(X0))) = forward_diamond(antidomain(c(X0)),domain(X0)) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_188,refute_0_1394]) ).
cnf(refute_0_1396,plain,
antidomain(c(domain(X0))) = forward_diamond(antidomain(c(X0)),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X0))),forward_diamond(domain(domain(X0)),domain(X0))) )],[refute_0_1393,refute_0_1395]) ).
cnf(refute_0_1397,plain,
antidomain(c(domain(X0))) = c(c(X0)),
inference(subst,[],[refute_0_1368:[bind(X_15,$fot(X0))]]) ).
cnf(refute_0_1398,plain,
( antidomain(c(domain(X0))) != c(c(X0))
| antidomain(c(domain(X0))) != forward_diamond(antidomain(c(X0)),domain(X0))
| c(c(X0)) = forward_diamond(antidomain(c(X0)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(domain(X0))),forward_diamond(antidomain(c(X0)),domain(X0))) ),[0],$fot(c(c(X0)))]]) ).
cnf(refute_0_1399,plain,
( antidomain(c(domain(X0))) != forward_diamond(antidomain(c(X0)),domain(X0))
| c(c(X0)) = forward_diamond(antidomain(c(X0)),domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X0))),c(c(X0))) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
forward_diamond(X_35,domain(X0)) = domain(multiplication(X_35,domain(domain(X0)))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(X_35)),bind(X1,$fot(domain(X0)))]]) ).
cnf(refute_0_1401,plain,
( domain(domain(X0)) != antidomain(c(X0))
| forward_diamond(X_35,domain(X0)) != domain(multiplication(X_35,domain(domain(X0))))
| forward_diamond(X_35,domain(X0)) = domain(multiplication(X_35,antidomain(c(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_35,domain(X0)),domain(multiplication(X_35,domain(domain(X0))))) ),[1,0,1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1402,plain,
( forward_diamond(X_35,domain(X0)) != domain(multiplication(X_35,domain(domain(X0))))
| forward_diamond(X_35,domain(X0)) = domain(multiplication(X_35,antidomain(c(X0)))) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_188,refute_0_1401]) ).
cnf(refute_0_1403,plain,
forward_diamond(X_35,domain(X0)) = domain(multiplication(X_35,antidomain(c(X0)))),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,domain(X0)),domain(multiplication(X_35,domain(domain(X0))))) )],[refute_0_1400,refute_0_1402]) ).
cnf(refute_0_1404,plain,
forward_diamond(antidomain(c(X0)),domain(X_435)) = domain(multiplication(antidomain(c(X0)),antidomain(c(X_435)))),
inference(subst,[],[refute_0_1403:[bind(X0,$fot(X_435)),bind(X_35,$fot(antidomain(c(X0))))]]) ).
cnf(refute_0_1405,plain,
domain_difference(domain(X0),X_32) = multiplication(domain(domain(X0)),antidomain(X_32)),
inference(subst,[],[refute_0_242:[bind(X0,$fot(domain(X0))),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_1406,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain_difference(domain(X0),X_32) != multiplication(domain(domain(X0)),antidomain(X_32))
| domain_difference(domain(X0),X_32) = multiplication(antidomain(c(X0)),antidomain(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X0),X_32),multiplication(domain(domain(X0)),antidomain(X_32))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1407,plain,
( domain_difference(domain(X0),X_32) != multiplication(domain(domain(X0)),antidomain(X_32))
| domain_difference(domain(X0),X_32) = multiplication(antidomain(c(X0)),antidomain(X_32)) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_188,refute_0_1406]) ).
cnf(refute_0_1408,plain,
domain_difference(domain(X0),X_32) = multiplication(antidomain(c(X0)),antidomain(X_32)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),X_32),multiplication(domain(domain(X0)),antidomain(X_32))) )],[refute_0_1405,refute_0_1407]) ).
cnf(refute_0_1409,plain,
domain_difference(domain(X0),c(X_435)) = multiplication(antidomain(c(X0)),antidomain(c(X_435))),
inference(subst,[],[refute_0_1408:[bind(X_32,$fot(c(X_435)))]]) ).
cnf(refute_0_1410,plain,
( domain_difference(domain(X0),c(X_435)) != multiplication(antidomain(c(X0)),antidomain(c(X_435)))
| multiplication(antidomain(c(X0)),antidomain(c(X_435))) = domain_difference(domain(X0),c(X_435)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain_difference(domain(X0),c(X_435)))),bind(Y,$fot(multiplication(antidomain(c(X0)),antidomain(c(X_435)))))]]) ).
cnf(refute_0_1411,plain,
multiplication(antidomain(c(X0)),antidomain(c(X_435))) = domain_difference(domain(X0),c(X_435)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),c(X_435)),multiplication(antidomain(c(X0)),antidomain(c(X_435)))) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
( forward_diamond(antidomain(c(X0)),domain(X_435)) != domain(multiplication(antidomain(c(X0)),antidomain(c(X_435))))
| multiplication(antidomain(c(X0)),antidomain(c(X_435))) != domain_difference(domain(X0),c(X_435))
| forward_diamond(antidomain(c(X0)),domain(X_435)) = domain(domain_difference(domain(X0),c(X_435))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(antidomain(c(X0)),domain(X_435)),domain(multiplication(antidomain(c(X0)),antidomain(c(X_435))))) ),[1,0],$fot(domain_difference(domain(X0),c(X_435)))]]) ).
cnf(refute_0_1413,plain,
( forward_diamond(antidomain(c(X0)),domain(X_435)) != domain(multiplication(antidomain(c(X0)),antidomain(c(X_435))))
| forward_diamond(antidomain(c(X0)),domain(X_435)) = domain(domain_difference(domain(X0),c(X_435))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),antidomain(c(X_435))),domain_difference(domain(X0),c(X_435))) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
forward_diamond(antidomain(c(X0)),domain(X_435)) = domain(domain_difference(domain(X0),c(X_435))),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(c(X0)),domain(X_435)),domain(multiplication(antidomain(c(X0)),antidomain(c(X_435))))) )],[refute_0_1404,refute_0_1413]) ).
cnf(refute_0_1415,plain,
forward_diamond(antidomain(c(X0)),domain(X0)) = domain(domain_difference(domain(X0),c(X0))),
inference(subst,[],[refute_0_1414:[bind(X_435,$fot(X0))]]) ).
cnf(refute_0_1416,plain,
( c(c(X0)) != forward_diamond(antidomain(c(X0)),domain(X0))
| forward_diamond(antidomain(c(X0)),domain(X0)) != domain(domain_difference(domain(X0),c(X0)))
| c(c(X0)) = domain(domain_difference(domain(X0),c(X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(c(X0)),domain(domain_difference(domain(X0),c(X0)))) ),[0],$fot(forward_diamond(antidomain(c(X0)),domain(X0)))]]) ).
cnf(refute_0_1417,plain,
( c(c(X0)) != forward_diamond(antidomain(c(X0)),domain(X0))
| c(c(X0)) = domain(domain_difference(domain(X0),c(X0))) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(c(X0)),domain(X0)),domain(domain_difference(domain(X0),c(X0)))) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
( antidomain(c(domain(X0))) != forward_diamond(antidomain(c(X0)),domain(X0))
| c(c(X0)) = domain(domain_difference(domain(X0),c(X0))) ),
inference(resolve,[$cnf( $equal(c(c(X0)),forward_diamond(antidomain(c(X0)),domain(X0))) )],[refute_0_1399,refute_0_1417]) ).
cnf(refute_0_1419,plain,
c(c(X0)) = domain(domain_difference(domain(X0),c(X0))),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X0))),forward_diamond(antidomain(c(X0)),domain(X0))) )],[refute_0_1396,refute_0_1418]) ).
cnf(refute_0_1420,plain,
( c(c(X0)) != domain(domain_difference(domain(X0),c(X0)))
| domain(domain_difference(domain(X0),c(X0))) = c(c(X0)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(c(c(X0)))),bind(Y,$fot(domain(domain_difference(domain(X0),c(X0)))))]]) ).
cnf(refute_0_1421,plain,
domain(domain_difference(domain(X0),c(X0))) = c(c(X0)),
inference(resolve,[$cnf( $equal(c(c(X0)),domain(domain_difference(domain(X0),c(X0)))) )],[refute_0_1419,refute_0_1420]) ).
cnf(refute_0_1422,plain,
domain(domain_difference(domain(X_680),c(X_680))) = c(c(X_680)),
inference(subst,[],[refute_0_1421:[bind(X0,$fot(X_680))]]) ).
cnf(refute_0_1423,plain,
( c(c(X_680)) != antidomain(c(X_680))
| domain(domain_difference(domain(X_680),c(X_680))) != c(c(X_680))
| domain(domain_difference(domain(X_680),c(X_680))) = antidomain(c(X_680)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain(domain_difference(domain(X_680),c(X_680))))),bind(Y,$fot(c(c(X_680)))),bind(Z,$fot(antidomain(c(X_680))))]]) ).
cnf(refute_0_1424,plain,
( c(c(X_680)) != antidomain(c(X_680))
| domain(domain_difference(domain(X_680),c(X_680))) = antidomain(c(X_680)) ),
inference(resolve,[$cnf( $equal(domain(domain_difference(domain(X_680),c(X_680))),c(c(X_680))) )],[refute_0_1422,refute_0_1423]) ).
cnf(refute_0_1425,plain,
domain(domain_difference(domain(X_680),c(X_680))) = antidomain(c(X_680)),
inference(resolve,[$cnf( $equal(c(c(X_680)),antidomain(c(X_680))) )],[refute_0_1392,refute_0_1424]) ).
cnf(refute_0_1426,plain,
antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) = domain(domain_difference(domain(X_680),c(X_680))),
inference(subst,[],[refute_0_87:[bind(X0,$fot(domain_difference(domain(X_680),c(X_680))))]]) ).
cnf(refute_0_1427,plain,
( antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) != domain(domain_difference(domain(X_680),c(X_680)))
| domain(domain_difference(domain(X_680),c(X_680))) != antidomain(c(X_680))
| antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) = antidomain(c(X_680)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))))),bind(Y,$fot(domain(domain_difference(domain(X_680),c(X_680))))),bind(Z,$fot(antidomain(c(X_680))))]]) ).
cnf(refute_0_1428,plain,
( domain(domain_difference(domain(X_680),c(X_680))) != antidomain(c(X_680))
| antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) = antidomain(c(X_680)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),domain(domain_difference(domain(X_680),c(X_680)))) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) = antidomain(c(X_680)),
inference(resolve,[$cnf( $equal(domain(domain_difference(domain(X_680),c(X_680))),antidomain(c(X_680))) )],[refute_0_1425,refute_0_1428]) ).
cnf(refute_0_1430,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),
inference(subst,[],[refute_0_60:[bind(A,$fot(antidomain(antidomain(domain_difference(domain(X_680),c(X_680))))))]]) ).
cnf(refute_0_1431,plain,
( antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) != antidomain(c(X_680))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) != antidomain(antidomain(domain_difference(domain(X_680),c(X_680))))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = antidomain(c(X_680)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one))),bind(Y,$fot(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))))),bind(Z,$fot(antidomain(c(X_680))))]]) ).
cnf(refute_0_1432,plain,
( antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) != antidomain(c(X_680))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = antidomain(c(X_680)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one),antidomain(antidomain(domain_difference(domain(X_680),c(X_680))))) )],[refute_0_1430,refute_0_1431]) ).
cnf(refute_0_1433,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = antidomain(c(X_680)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),antidomain(c(X_680))) )],[refute_0_1429,refute_0_1432]) ).
cnf(refute_0_1434,plain,
( antidomain(c(X_680)) != domain(X_680)
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) != antidomain(c(X_680))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = domain(X_680) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one))),bind(Y,$fot(antidomain(c(X_680)))),bind(Z,$fot(domain(X_680)))]]) ).
cnf(refute_0_1435,plain,
( antidomain(c(X_680)) != domain(X_680)
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = domain(X_680) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one),antidomain(c(X_680))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) = domain(X_680),
inference(resolve,[$cnf( $equal(antidomain(c(X_680)),domain(X_680)) )],[refute_0_1391,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) != domain(X_680)
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) != multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))
| domain(X_680) = multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one),multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))) ),[0],$fot(domain(X_680))]]) ).
cnf(refute_0_1438,plain,
( multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) != multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))
| domain(X_680) = multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one),domain(X_680)) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
multiplication(domain(X_680),domain(X_680)) = domain_difference(X_680,antidomain(X_680)),
inference(subst,[],[refute_0_1280:[bind(X0,$fot(X_680)),bind(X_31,$fot(X_680))]]) ).
cnf(refute_0_1440,plain,
( antidomain(c(X_680)) != domain(X_680)
| c(c(X_680)) != antidomain(c(X_680))
| c(c(X_680)) = domain(X_680) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(c(X_680)))),bind(Y,$fot(antidomain(c(X_680)))),bind(Z,$fot(domain(X_680)))]]) ).
cnf(refute_0_1441,plain,
( antidomain(c(X_680)) != domain(X_680)
| c(c(X_680)) = domain(X_680) ),
inference(resolve,[$cnf( $equal(c(c(X_680)),antidomain(c(X_680))) )],[refute_0_1392,refute_0_1440]) ).
cnf(refute_0_1442,plain,
c(c(X_680)) = domain(X_680),
inference(resolve,[$cnf( $equal(antidomain(c(X_680)),domain(X_680)) )],[refute_0_1391,refute_0_1441]) ).
cnf(refute_0_1443,plain,
multiplication(domain(X_680),c(c(X_680))) = multiplication(domain(X_680),c(c(X_680))),
introduced(tautology,[refl,[$fot(multiplication(domain(X_680),c(c(X_680))))]]) ).
cnf(refute_0_1444,plain,
( c(c(X_680)) != domain(X_680)
| multiplication(domain(X_680),c(c(X_680))) != multiplication(domain(X_680),c(c(X_680)))
| multiplication(domain(X_680),c(c(X_680))) = multiplication(domain(X_680),domain(X_680)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_680),c(c(X_680))),multiplication(domain(X_680),c(c(X_680)))) ),[1,1],$fot(domain(X_680))]]) ).
cnf(refute_0_1445,plain,
( c(c(X_680)) != domain(X_680)
| multiplication(domain(X_680),c(c(X_680))) = multiplication(domain(X_680),domain(X_680)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_680),c(c(X_680))),multiplication(domain(X_680),c(c(X_680)))) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
multiplication(domain(X_680),c(c(X_680))) = multiplication(domain(X_680),domain(X_680)),
inference(resolve,[$cnf( $equal(c(c(X_680)),domain(X_680)) )],[refute_0_1442,refute_0_1445]) ).
cnf(refute_0_1447,plain,
( antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) != antidomain(c(X_680))
| antidomain(c(X_680)) != domain(X_680)
| antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) = domain(X_680) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))))),bind(Y,$fot(antidomain(c(X_680)))),bind(Z,$fot(domain(X_680)))]]) ).
cnf(refute_0_1448,plain,
( antidomain(c(X_680)) != domain(X_680)
| antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) = domain(X_680) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),antidomain(c(X_680))) )],[refute_0_1429,refute_0_1447]) ).
cnf(refute_0_1449,plain,
antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) = domain(X_680),
inference(resolve,[$cnf( $equal(antidomain(c(X_680)),domain(X_680)) )],[refute_0_1391,refute_0_1448]) ).
cnf(refute_0_1450,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))))]]) ).
cnf(refute_0_1451,plain,
( antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) != domain(X_680)
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) != multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = multiplication(domain(X_680),c(c(X_680))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))),multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))) ),[1,0],$fot(domain(X_680))]]) ).
cnf(refute_0_1452,plain,
( antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))) != domain(X_680)
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = multiplication(domain(X_680),c(c(X_680))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))),multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = multiplication(domain(X_680),c(c(X_680))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),domain(X_680)) )],[refute_0_1449,refute_0_1452]) ).
cnf(refute_0_1454,plain,
( multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) != multiplication(domain(X_680),c(c(X_680)))
| multiplication(domain(X_680),c(c(X_680))) != multiplication(domain(X_680),domain(X_680))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = multiplication(domain(X_680),domain(X_680)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))))),bind(Y,$fot(multiplication(domain(X_680),c(c(X_680))))),bind(Z,$fot(multiplication(domain(X_680),domain(X_680))))]]) ).
cnf(refute_0_1455,plain,
( multiplication(domain(X_680),c(c(X_680))) != multiplication(domain(X_680),domain(X_680))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = multiplication(domain(X_680),domain(X_680)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))),multiplication(domain(X_680),c(c(X_680)))) )],[refute_0_1453,refute_0_1454]) ).
cnf(refute_0_1456,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = multiplication(domain(X_680),domain(X_680)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_680),c(c(X_680))),multiplication(domain(X_680),domain(X_680))) )],[refute_0_1446,refute_0_1455]) ).
cnf(refute_0_1457,plain,
( multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) != multiplication(domain(X_680),domain(X_680))
| multiplication(domain(X_680),domain(X_680)) != domain_difference(X_680,antidomain(X_680))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = domain_difference(X_680,antidomain(X_680)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))))),bind(Y,$fot(multiplication(domain(X_680),domain(X_680)))),bind(Z,$fot(domain_difference(X_680,antidomain(X_680))))]]) ).
cnf(refute_0_1458,plain,
( multiplication(domain(X_680),domain(X_680)) != domain_difference(X_680,antidomain(X_680))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = domain_difference(X_680,antidomain(X_680)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))),multiplication(domain(X_680),domain(X_680))) )],[refute_0_1456,refute_0_1457]) ).
cnf(refute_0_1459,plain,
multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) = domain_difference(X_680,antidomain(X_680)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_680),domain(X_680)),domain_difference(X_680,antidomain(X_680))) )],[refute_0_1439,refute_0_1458]) ).
cnf(refute_0_1460,plain,
( domain(X_680) != multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))
| multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))) != domain_difference(X_680,antidomain(X_680))
| domain(X_680) = domain_difference(X_680,antidomain(X_680)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(X_680),domain_difference(X_680,antidomain(X_680))) ),[0],$fot(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))))]]) ).
cnf(refute_0_1461,plain,
( domain(X_680) != multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))
| domain(X_680) = domain_difference(X_680,antidomain(X_680)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680))),domain_difference(X_680,antidomain(X_680))) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
( multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one) != multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))
| domain(X_680) = domain_difference(X_680,antidomain(X_680)) ),
inference(resolve,[$cnf( $equal(domain(X_680),multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))) )],[refute_0_1438,refute_0_1461]) ).
cnf(refute_0_1463,plain,
domain(X_680) = domain_difference(X_680,antidomain(X_680)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),one),multiplication(antidomain(antidomain(domain_difference(domain(X_680),c(X_680)))),c(c(X_680)))) )],[refute_0_1382,refute_0_1462]) ).
cnf(refute_0_1464,plain,
( domain(X_680) != domain_difference(X_680,antidomain(X_680))
| domain_difference(X_680,antidomain(X_680)) = domain(X_680) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(X_680))),bind(Y,$fot(domain_difference(X_680,antidomain(X_680))))]]) ).
cnf(refute_0_1465,plain,
domain_difference(X_680,antidomain(X_680)) = domain(X_680),
inference(resolve,[$cnf( $equal(domain(X_680),domain_difference(X_680,antidomain(X_680))) )],[refute_0_1463,refute_0_1464]) ).
cnf(refute_0_1466,plain,
domain_difference(X_1745,antidomain(X_1745)) = domain(X_1745),
inference(subst,[],[refute_0_1465:[bind(X_680,$fot(X_1745))]]) ).
cnf(refute_0_1467,plain,
antidomain(domain_difference(X_1745,antidomain(X_1745))) = antidomain(domain_difference(X_1745,antidomain(X_1745))),
introduced(tautology,[refl,[$fot(antidomain(domain_difference(X_1745,antidomain(X_1745))))]]) ).
cnf(refute_0_1468,plain,
( antidomain(domain_difference(X_1745,antidomain(X_1745))) != antidomain(domain_difference(X_1745,antidomain(X_1745)))
| domain_difference(X_1745,antidomain(X_1745)) != domain(X_1745)
| antidomain(domain_difference(X_1745,antidomain(X_1745))) = antidomain(domain(X_1745)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain_difference(X_1745,antidomain(X_1745))),antidomain(domain_difference(X_1745,antidomain(X_1745)))) ),[1,0],$fot(domain(X_1745))]]) ).
cnf(refute_0_1469,plain,
( domain_difference(X_1745,antidomain(X_1745)) != domain(X_1745)
| antidomain(domain_difference(X_1745,antidomain(X_1745))) = antidomain(domain(X_1745)) ),
inference(resolve,[$cnf( $equal(antidomain(domain_difference(X_1745,antidomain(X_1745))),antidomain(domain_difference(X_1745,antidomain(X_1745)))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
antidomain(domain_difference(X_1745,antidomain(X_1745))) = antidomain(domain(X_1745)),
inference(resolve,[$cnf( $equal(domain_difference(X_1745,antidomain(X_1745)),domain(X_1745)) )],[refute_0_1466,refute_0_1469]) ).
cnf(refute_0_1471,plain,
( antidomain(domain(X_1745)) != antidomain(X_1745)
| antidomain(domain_difference(X_1745,antidomain(X_1745))) != antidomain(domain(X_1745))
| antidomain(domain_difference(X_1745,antidomain(X_1745))) = antidomain(X_1745) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(domain_difference(X_1745,antidomain(X_1745))))),bind(Y,$fot(antidomain(domain(X_1745)))),bind(Z,$fot(antidomain(X_1745)))]]) ).
cnf(refute_0_1472,plain,
( antidomain(domain(X_1745)) != antidomain(X_1745)
| antidomain(domain_difference(X_1745,antidomain(X_1745))) = antidomain(X_1745) ),
inference(resolve,[$cnf( $equal(antidomain(domain_difference(X_1745,antidomain(X_1745))),antidomain(domain(X_1745))) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
antidomain(domain_difference(X_1745,antidomain(X_1745))) = antidomain(X_1745),
inference(resolve,[$cnf( $equal(antidomain(domain(X_1745)),antidomain(X_1745)) )],[refute_0_1300,refute_0_1472]) ).
cnf(refute_0_1474,plain,
addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) = addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))),
introduced(tautology,[refl,[$fot(addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))))]]) ).
cnf(refute_0_1475,plain,
( addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) != addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745))))
| antidomain(domain_difference(X_1745,antidomain(X_1745))) != antidomain(X_1745)
| addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) = addition(A,antidomain(X_1745)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))),addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745))))) ),[1,1],$fot(antidomain(X_1745))]]) ).
cnf(refute_0_1476,plain,
( antidomain(domain_difference(X_1745,antidomain(X_1745))) != antidomain(X_1745)
| addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) = addition(A,antidomain(X_1745)) ),
inference(resolve,[$cnf( $equal(addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))),addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745))))) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) = addition(A,antidomain(X_1745)),
inference(resolve,[$cnf( $equal(antidomain(domain_difference(X_1745,antidomain(X_1745))),antidomain(X_1745)) )],[refute_0_1473,refute_0_1476]) ).
cnf(refute_0_1478,plain,
( addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) != addition(A,antidomain(X_1745))
| addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) != addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))
| addition(A,antidomain(X_1745)) = addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))),addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))) ),[0],$fot(addition(A,antidomain(X_1745)))]]) ).
cnf(refute_0_1479,plain,
( addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) != addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))
| addition(A,antidomain(X_1745)) = addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) ),
inference(resolve,[$cnf( $equal(addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))),addition(A,antidomain(X_1745))) )],[refute_0_1477,refute_0_1478]) ).
cnf(refute_0_1480,plain,
addition(antidomain(X_1745),addition(antidomain(X_1745),A)) = addition(antidomain(X_1745),A),
inference(subst,[],[refute_0_78:[bind(X_222,$fot(antidomain(X_1745))),bind(X_223,$fot(A))]]) ).
cnf(refute_0_1481,plain,
addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A) = addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A),
introduced(tautology,[refl,[$fot(addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))]]) ).
cnf(refute_0_1482,plain,
( addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A) != addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)
| antidomain(domain_difference(X_1745,antidomain(X_1745))) != antidomain(X_1745)
| addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A) = addition(antidomain(X_1745),A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) ),[1,0],$fot(antidomain(X_1745))]]) ).
cnf(refute_0_1483,plain,
( antidomain(domain_difference(X_1745,antidomain(X_1745))) != antidomain(X_1745)
| addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A) = addition(antidomain(X_1745),A) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A) = addition(antidomain(X_1745),A),
inference(resolve,[$cnf( $equal(antidomain(domain_difference(X_1745,antidomain(X_1745))),antidomain(X_1745)) )],[refute_0_1473,refute_0_1483]) ).
cnf(refute_0_1485,plain,
addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) = addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)),
introduced(tautology,[refl,[$fot(addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)))]]) ).
cnf(refute_0_1486,plain,
( addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) != addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))
| addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A) != addition(antidomain(X_1745),A)
| addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) = addition(antidomain(X_1745),addition(antidomain(X_1745),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)),addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))) ),[1,1],$fot(addition(antidomain(X_1745),A))]]) ).
cnf(refute_0_1487,plain,
( addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A) != addition(antidomain(X_1745),A)
| addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) = addition(antidomain(X_1745),addition(antidomain(X_1745),A)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)),addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))) )],[refute_0_1485,refute_0_1486]) ).
cnf(refute_0_1488,plain,
addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) = addition(antidomain(X_1745),addition(antidomain(X_1745),A)),
inference(resolve,[$cnf( $equal(addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A),addition(antidomain(X_1745),A)) )],[refute_0_1484,refute_0_1487]) ).
cnf(refute_0_1489,plain,
( addition(antidomain(X_1745),addition(antidomain(X_1745),A)) != addition(antidomain(X_1745),A)
| addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) != addition(antidomain(X_1745),addition(antidomain(X_1745),A))
| addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) = addition(antidomain(X_1745),A) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)))),bind(Y,$fot(addition(antidomain(X_1745),addition(antidomain(X_1745),A)))),bind(Z,$fot(addition(antidomain(X_1745),A)))]]) ).
cnf(refute_0_1490,plain,
( addition(antidomain(X_1745),addition(antidomain(X_1745),A)) != addition(antidomain(X_1745),A)
| addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) = addition(antidomain(X_1745),A) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)),addition(antidomain(X_1745),addition(antidomain(X_1745),A))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) = addition(antidomain(X_1745),A),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1745),addition(antidomain(X_1745),A)),addition(antidomain(X_1745),A)) )],[refute_0_1480,refute_0_1490]) ).
cnf(refute_0_1492,plain,
( addition(A,antidomain(X_1745)) != addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))
| addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)) != addition(antidomain(X_1745),A)
| addition(A,antidomain(X_1745)) = addition(antidomain(X_1745),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,antidomain(X_1745)),addition(antidomain(X_1745),A)) ),[0],$fot(addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)))]]) ).
cnf(refute_0_1493,plain,
( addition(A,antidomain(X_1745)) != addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))
| addition(A,antidomain(X_1745)) = addition(antidomain(X_1745),A) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A)),addition(antidomain(X_1745),A)) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
( addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))) != addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))
| addition(A,antidomain(X_1745)) = addition(antidomain(X_1745),A) ),
inference(resolve,[$cnf( $equal(addition(A,antidomain(X_1745)),addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))) )],[refute_0_1479,refute_0_1493]) ).
cnf(refute_0_1495,plain,
addition(A,antidomain(X_1745)) = addition(antidomain(X_1745),A),
inference(resolve,[$cnf( $equal(addition(A,antidomain(domain_difference(X_1745,antidomain(X_1745)))),addition(antidomain(X_1745),addition(antidomain(domain_difference(X_1745,antidomain(X_1745))),A))) )],[refute_0_1299,refute_0_1494]) ).
cnf(refute_0_1496,plain,
addition(codomain(antidomain(X_2270)),antidomain(X_2270)) = addition(antidomain(X_2270),codomain(antidomain(X_2270))),
inference(subst,[],[refute_0_1495:[bind(A,$fot(codomain(antidomain(X_2270)))),bind(X_1745,$fot(X_2270))]]) ).
cnf(refute_0_1497,plain,
( addition(codomain(antidomain(X_2270)),antidomain(X_2270)) != addition(antidomain(X_2270),codomain(antidomain(X_2270)))
| codomain(antidomain(X_2270)) != addition(codomain(antidomain(X_2270)),antidomain(X_2270))
| codomain(antidomain(X_2270)) = addition(antidomain(X_2270),codomain(antidomain(X_2270))) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(antidomain(X_2270)),addition(codomain(antidomain(X_2270)),antidomain(X_2270))) ),[1],$fot(addition(antidomain(X_2270),codomain(antidomain(X_2270))))]]) ).
cnf(refute_0_1498,plain,
( codomain(antidomain(X_2270)) != addition(codomain(antidomain(X_2270)),antidomain(X_2270))
| codomain(antidomain(X_2270)) = addition(antidomain(X_2270),codomain(antidomain(X_2270))) ),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(X_2270)),antidomain(X_2270)),addition(antidomain(X_2270),codomain(antidomain(X_2270)))) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
codomain(antidomain(X_2270)) = addition(antidomain(X_2270),codomain(antidomain(X_2270))),
inference(resolve,[$cnf( $equal(codomain(antidomain(X_2270)),addition(codomain(antidomain(X_2270)),antidomain(X_2270))) )],[refute_0_1270,refute_0_1498]) ).
cnf(refute_0_1500,plain,
codomain(antidomain(forward_diamond(X_2410,X_2411))) = addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411)))),
inference(subst,[],[refute_0_1499:[bind(X_2270,$fot(forward_diamond(X_2410,X_2411)))]]) ).
cnf(refute_0_1501,plain,
( codomain(antidomain(forward_diamond(X_2410,X_2411))) != addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411))))
| addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411)))) = codomain(antidomain(forward_diamond(X_2410,X_2411))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(codomain(antidomain(forward_diamond(X_2410,X_2411))))),bind(Y,$fot(addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411))))))]]) ).
cnf(refute_0_1502,plain,
addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411)))) = codomain(antidomain(forward_diamond(X_2410,X_2411))),
inference(resolve,[$cnf( $equal(codomain(antidomain(forward_diamond(X_2410,X_2411))),addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411))))) )],[refute_0_1500,refute_0_1501]) ).
cnf(refute_0_1503,plain,
( addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411)))) != codomain(antidomain(forward_diamond(X_2410,X_2411)))
| addition(forward_diamond(X_2410,X_2411),addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411))))) != addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411))))
| addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))) = addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_2410,X_2411),addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411))))),addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411))))) ),[0,1],$fot(codomain(antidomain(forward_diamond(X_2410,X_2411))))]]) ).
cnf(refute_0_1504,plain,
( addition(forward_diamond(X_2410,X_2411),addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411))))) != addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411))))
| addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))) = addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411)))),codomain(antidomain(forward_diamond(X_2410,X_2411)))) )],[refute_0_1502,refute_0_1503]) ).
cnf(refute_0_1505,plain,
addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))) = addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411)))),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_2410,X_2411),addition(antidomain(forward_diamond(X_2410,X_2411)),codomain(antidomain(forward_diamond(X_2410,X_2411))))),addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411))))) )],[refute_0_1255,refute_0_1504]) ).
cnf(refute_0_1506,plain,
addition(codomain(X_6),addition(codomain(X_6),coantidomain(codomain(X_6)))) = addition(codomain(X_6),coantidomain(codomain(X_6))),
inference(subst,[],[refute_0_78:[bind(X_222,$fot(codomain(X_6))),bind(X_223,$fot(coantidomain(codomain(X_6))))]]) ).
cnf(refute_0_1507,plain,
( addition(codomain(X_6),addition(codomain(X_6),coantidomain(codomain(X_6)))) != addition(codomain(X_6),coantidomain(codomain(X_6)))
| addition(codomain(X_6),coantidomain(codomain(X_6))) != one
| addition(codomain(X_6),one) = addition(codomain(X_6),coantidomain(codomain(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_6),addition(codomain(X_6),coantidomain(codomain(X_6)))),addition(codomain(X_6),coantidomain(codomain(X_6)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1508,plain,
( addition(codomain(X_6),addition(codomain(X_6),coantidomain(codomain(X_6)))) != addition(codomain(X_6),coantidomain(codomain(X_6)))
| addition(codomain(X_6),one) = addition(codomain(X_6),coantidomain(codomain(X_6))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_6),coantidomain(codomain(X_6))),one) )],[refute_0_697,refute_0_1507]) ).
cnf(refute_0_1509,plain,
addition(codomain(X_6),one) = addition(codomain(X_6),coantidomain(codomain(X_6))),
inference(resolve,[$cnf( $equal(addition(codomain(X_6),addition(codomain(X_6),coantidomain(codomain(X_6)))),addition(codomain(X_6),coantidomain(codomain(X_6)))) )],[refute_0_1506,refute_0_1508]) ).
cnf(refute_0_1510,plain,
addition(codomain(X_6),one) = addition(one,codomain(X_6)),
inference(subst,[],[refute_0_42:[bind(A,$fot(one)),bind(B,$fot(codomain(X_6)))]]) ).
cnf(refute_0_1511,plain,
( addition(codomain(X_6),one) != addition(codomain(X_6),coantidomain(codomain(X_6)))
| addition(codomain(X_6),one) != addition(one,codomain(X_6))
| addition(one,codomain(X_6)) = addition(codomain(X_6),coantidomain(codomain(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_6),one),addition(codomain(X_6),coantidomain(codomain(X_6)))) ),[0],$fot(addition(one,codomain(X_6)))]]) ).
cnf(refute_0_1512,plain,
( addition(codomain(X_6),one) != addition(codomain(X_6),coantidomain(codomain(X_6)))
| addition(one,codomain(X_6)) = addition(codomain(X_6),coantidomain(codomain(X_6))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_6),one),addition(one,codomain(X_6))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
( addition(codomain(X_6),coantidomain(codomain(X_6))) != one
| addition(one,codomain(X_6)) != addition(codomain(X_6),coantidomain(codomain(X_6)))
| addition(one,codomain(X_6)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,codomain(X_6)),addition(codomain(X_6),coantidomain(codomain(X_6)))) ),[1],$fot(one)]]) ).
cnf(refute_0_1514,plain,
( addition(one,codomain(X_6)) != addition(codomain(X_6),coantidomain(codomain(X_6)))
| addition(one,codomain(X_6)) = one ),
inference(resolve,[$cnf( $equal(addition(codomain(X_6),coantidomain(codomain(X_6))),one) )],[refute_0_697,refute_0_1513]) ).
cnf(refute_0_1515,plain,
( addition(codomain(X_6),one) != addition(codomain(X_6),coantidomain(codomain(X_6)))
| addition(one,codomain(X_6)) = one ),
inference(resolve,[$cnf( $equal(addition(one,codomain(X_6)),addition(codomain(X_6),coantidomain(codomain(X_6)))) )],[refute_0_1512,refute_0_1514]) ).
cnf(refute_0_1516,plain,
addition(one,codomain(X_6)) = one,
inference(resolve,[$cnf( $equal(addition(codomain(X_6),one),addition(codomain(X_6),coantidomain(codomain(X_6)))) )],[refute_0_1509,refute_0_1515]) ).
cnf(refute_0_1517,plain,
addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411)))) = one,
inference(subst,[],[refute_0_1516:[bind(X_6,$fot(antidomain(forward_diamond(X_2410,X_2411))))]]) ).
cnf(refute_0_1518,plain,
( addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))) != addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411))))
| addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411)))) != one
| addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))),one) ),[0],$fot(addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411)))))]]) ).
cnf(refute_0_1519,plain,
( addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))) != addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411))))
| addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))) = one ),
inference(resolve,[$cnf( $equal(addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411)))),one) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_2410,X_2411),codomain(antidomain(forward_diamond(X_2410,X_2411)))),addition(one,codomain(antidomain(forward_diamond(X_2410,X_2411))))) )],[refute_0_1505,refute_0_1519]) ).
cnf(refute_0_1521,plain,
addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(forward_diamond(domain(X_2413),X_2413)))) = one,
inference(subst,[],[refute_0_1520:[bind(X_2410,$fot(domain(X_2413))),bind(X_2411,$fot(X_2413))]]) ).
cnf(refute_0_1522,plain,
antidomain(antidomain(X_554)) = domain(X_554),
inference(subst,[],[refute_0_87:[bind(X0,$fot(X_554))]]) ).
cnf(refute_0_1523,plain,
c(X_554) = antidomain(X_554),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_554))]]) ).
cnf(refute_0_1524,plain,
antidomain(c(X_554)) = antidomain(c(X_554)),
introduced(tautology,[refl,[$fot(antidomain(c(X_554)))]]) ).
cnf(refute_0_1525,plain,
( antidomain(c(X_554)) != antidomain(c(X_554))
| c(X_554) != antidomain(X_554)
| antidomain(c(X_554)) = antidomain(antidomain(X_554)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_554)),antidomain(c(X_554))) ),[1,0],$fot(antidomain(X_554))]]) ).
cnf(refute_0_1526,plain,
( c(X_554) != antidomain(X_554)
| antidomain(c(X_554)) = antidomain(antidomain(X_554)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_554)),antidomain(c(X_554))) )],[refute_0_1524,refute_0_1525]) ).
cnf(refute_0_1527,plain,
antidomain(c(X_554)) = antidomain(antidomain(X_554)),
inference(resolve,[$cnf( $equal(c(X_554),antidomain(X_554)) )],[refute_0_1523,refute_0_1526]) ).
cnf(refute_0_1528,plain,
( antidomain(antidomain(X_554)) != domain(X_554)
| antidomain(c(X_554)) != antidomain(antidomain(X_554))
| antidomain(c(X_554)) = domain(X_554) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(X_554)))),bind(Y,$fot(antidomain(antidomain(X_554)))),bind(Z,$fot(domain(X_554)))]]) ).
cnf(refute_0_1529,plain,
( antidomain(antidomain(X_554)) != domain(X_554)
| antidomain(c(X_554)) = domain(X_554) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_554)),antidomain(antidomain(X_554))) )],[refute_0_1527,refute_0_1528]) ).
cnf(refute_0_1530,plain,
antidomain(c(X_554)) = domain(X_554),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_554)),domain(X_554)) )],[refute_0_1522,refute_0_1529]) ).
cnf(refute_0_1531,plain,
( antidomain(c(X_554)) != domain(X_554)
| antidomain(c(X_554)) != forward_diamond(domain(X_554),X_554)
| domain(X_554) = forward_diamond(domain(X_554),X_554) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_554)),forward_diamond(domain(X_554),X_554)) ),[0],$fot(domain(X_554))]]) ).
cnf(refute_0_1532,plain,
( antidomain(c(X_554)) != forward_diamond(domain(X_554),X_554)
| domain(X_554) = forward_diamond(domain(X_554),X_554) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_554)),domain(X_554)) )],[refute_0_1530,refute_0_1531]) ).
cnf(refute_0_1533,plain,
domain(X_554) = forward_diamond(domain(X_554),X_554),
inference(resolve,[$cnf( $equal(antidomain(c(X_554)),forward_diamond(domain(X_554),X_554)) )],[refute_0_1344,refute_0_1532]) ).
cnf(refute_0_1534,plain,
domain(X_2413) = forward_diamond(domain(X_2413),X_2413),
inference(subst,[],[refute_0_1533:[bind(X_554,$fot(X_2413))]]) ).
cnf(refute_0_1535,plain,
( domain(X_2413) != forward_diamond(domain(X_2413),X_2413)
| forward_diamond(domain(X_2413),X_2413) = domain(X_2413) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(X_2413))),bind(Y,$fot(forward_diamond(domain(X_2413),X_2413)))]]) ).
cnf(refute_0_1536,plain,
forward_diamond(domain(X_2413),X_2413) = domain(X_2413),
inference(resolve,[$cnf( $equal(domain(X_2413),forward_diamond(domain(X_2413),X_2413)) )],[refute_0_1534,refute_0_1535]) ).
cnf(refute_0_1537,plain,
( addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(forward_diamond(domain(X_2413),X_2413)))) != one
| forward_diamond(domain(X_2413),X_2413) != domain(X_2413)
| addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(forward_diamond(domain(X_2413),X_2413)))),one) ),[0,1,0,0],$fot(domain(X_2413))]]) ).
cnf(refute_0_1538,plain,
( addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(forward_diamond(domain(X_2413),X_2413)))) != one
| addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) = one ),
inference(resolve,[$cnf( $equal(forward_diamond(domain(X_2413),X_2413),domain(X_2413)) )],[refute_0_1536,refute_0_1537]) ).
cnf(refute_0_1539,plain,
addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(forward_diamond(domain(X_2413),X_2413)))),one) )],[refute_0_1521,refute_0_1538]) ).
cnf(refute_0_1540,plain,
multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),addition(X_1944,X_1945))),
inference(subst,[],[refute_0_24:[bind(X_156,$fot(antidomain(X_1945))),bind(X_157,$fot(addition(X_1944,X_1945)))]]) ).
cnf(refute_0_1541,plain,
multiplication(antidomain(X_1945),addition(X_1944,X_1945)) = multiplication(antidomain(X_1945),X_1944),
inference(subst,[],[refute_0_35:[bind(X_239,$fot(X_1944)),bind(X_240,$fot(X_1945))]]) ).
cnf(refute_0_1542,plain,
( multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) != addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),addition(X_1944,X_1945)))
| multiplication(antidomain(X_1945),addition(X_1944,X_1945)) != multiplication(antidomain(X_1945),X_1944)
| multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),addition(X_1944,X_1945)))) ),[1,1],$fot(multiplication(antidomain(X_1945),X_1944))]]) ).
cnf(refute_0_1543,plain,
( multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) != addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),addition(X_1944,X_1945)))
| multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_1945),addition(X_1944,X_1945)),multiplication(antidomain(X_1945),X_1944)) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),addition(X_1944,X_1945)))) )],[refute_0_1540,refute_0_1543]) ).
cnf(refute_0_1545,plain,
multiplication(one,addition(X_1944,X_1945)) = addition(X_1944,X_1945),
inference(subst,[],[refute_0_20:[bind(A,$fot(addition(X_1944,X_1945)))]]) ).
cnf(refute_0_1546,plain,
addition(one,antidomain(X_1945)) = one,
inference(subst,[],[refute_0_104:[bind(X0,$fot(X_1945))]]) ).
cnf(refute_0_1547,plain,
multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)))]]) ).
cnf(refute_0_1548,plain,
( addition(one,antidomain(X_1945)) != one
| multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) != multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945))
| multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = multiplication(one,addition(X_1944,X_1945)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1549,plain,
( addition(one,antidomain(X_1945)) != one
| multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = multiplication(one,addition(X_1944,X_1945)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = multiplication(one,addition(X_1944,X_1945)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_1945)),one) )],[refute_0_1546,refute_0_1549]) ).
cnf(refute_0_1551,plain,
( multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) != multiplication(one,addition(X_1944,X_1945))
| multiplication(one,addition(X_1944,X_1945)) != addition(X_1944,X_1945)
| multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = addition(X_1944,X_1945) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)))),bind(Y,$fot(multiplication(one,addition(X_1944,X_1945)))),bind(Z,$fot(addition(X_1944,X_1945)))]]) ).
cnf(refute_0_1552,plain,
( multiplication(one,addition(X_1944,X_1945)) != addition(X_1944,X_1945)
| multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = addition(X_1944,X_1945) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),multiplication(one,addition(X_1944,X_1945))) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) = addition(X_1944,X_1945),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_1944,X_1945)),addition(X_1944,X_1945)) )],[refute_0_1545,refute_0_1552]) ).
cnf(refute_0_1554,plain,
( multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) != addition(X_1944,X_1945)
| multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) != addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944))
| addition(X_1944,X_1945) = addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944))) ),[0],$fot(addition(X_1944,X_1945))]]) ).
cnf(refute_0_1555,plain,
( multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) != addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944))
| addition(X_1944,X_1945) = addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),addition(X_1944,X_1945)) )],[refute_0_1553,refute_0_1554]) ).
cnf(refute_0_1556,plain,
addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)) = addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))),
inference(subst,[],[refute_0_552:[bind(A,$fot(X_1944)),bind(B,$fot(X_1945)),bind(C,$fot(multiplication(antidomain(X_1945),X_1944)))]]) ).
cnf(refute_0_1557,plain,
( addition(X_1944,X_1945) != addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944))
| addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)) != addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944)))
| addition(X_1944,X_1945) = addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_1944,X_1945),addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944)))) ),[0],$fot(addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)))]]) ).
cnf(refute_0_1558,plain,
( addition(X_1944,X_1945) != addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944))
| addition(X_1944,X_1945) = addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944)),addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944)))) )],[refute_0_1556,refute_0_1557]) ).
cnf(refute_0_1559,plain,
( multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)) != addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944))
| addition(X_1944,X_1945) = addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))) ),
inference(resolve,[$cnf( $equal(addition(X_1944,X_1945),addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944))) )],[refute_0_1555,refute_0_1558]) ).
cnf(refute_0_1560,plain,
addition(X_1944,X_1945) = addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_1945)),addition(X_1944,X_1945)),addition(addition(X_1944,X_1945),multiplication(antidomain(X_1945),X_1944))) )],[refute_0_1544,refute_0_1559]) ).
cnf(refute_0_1561,plain,
addition(X_221,addition(X_222,X_223)) = addition(addition(X_221,X_222),X_223),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_221)),bind(B,$fot(X_222)),bind(C,$fot(X_223))]]) ).
cnf(refute_0_1562,plain,
addition(X_222,X_221) = addition(X_221,X_222),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_222)),bind(B,$fot(X_221))]]) ).
cnf(refute_0_1563,plain,
( addition(X_222,X_221) != addition(X_221,X_222)
| addition(X_221,X_222) = addition(X_222,X_221) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(addition(X_222,X_221))),bind(Y,$fot(addition(X_221,X_222)))]]) ).
cnf(refute_0_1564,plain,
addition(X_221,X_222) = addition(X_222,X_221),
inference(resolve,[$cnf( $equal(addition(X_222,X_221),addition(X_221,X_222)) )],[refute_0_1562,refute_0_1563]) ).
cnf(refute_0_1565,plain,
( addition(X_221,X_222) != addition(X_222,X_221)
| addition(X_221,addition(X_222,X_223)) != addition(addition(X_221,X_222),X_223)
| addition(X_221,addition(X_222,X_223)) = addition(addition(X_222,X_221),X_223) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_221,addition(X_222,X_223)),addition(addition(X_221,X_222),X_223)) ),[1,0],$fot(addition(X_222,X_221))]]) ).
cnf(refute_0_1566,plain,
( addition(X_221,addition(X_222,X_223)) != addition(addition(X_221,X_222),X_223)
| addition(X_221,addition(X_222,X_223)) = addition(addition(X_222,X_221),X_223) ),
inference(resolve,[$cnf( $equal(addition(X_221,X_222),addition(X_222,X_221)) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
addition(X_221,addition(X_222,X_223)) = addition(addition(X_222,X_221),X_223),
inference(resolve,[$cnf( $equal(addition(X_221,addition(X_222,X_223)),addition(addition(X_221,X_222),X_223)) )],[refute_0_1561,refute_0_1566]) ).
cnf(refute_0_1568,plain,
addition(addition(X_222,X_221),X_223) = addition(X_222,addition(X_221,X_223)),
inference(subst,[],[refute_0_552:[bind(A,$fot(X_222)),bind(B,$fot(X_221)),bind(C,$fot(X_223))]]) ).
cnf(refute_0_1569,plain,
( addition(X_221,addition(X_222,X_223)) != addition(addition(X_222,X_221),X_223)
| addition(addition(X_222,X_221),X_223) != addition(X_222,addition(X_221,X_223))
| addition(X_221,addition(X_222,X_223)) = addition(X_222,addition(X_221,X_223)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_221,addition(X_222,X_223)),addition(X_222,addition(X_221,X_223))) ),[0],$fot(addition(addition(X_222,X_221),X_223))]]) ).
cnf(refute_0_1570,plain,
( addition(X_221,addition(X_222,X_223)) != addition(addition(X_222,X_221),X_223)
| addition(X_221,addition(X_222,X_223)) = addition(X_222,addition(X_221,X_223)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_222,X_221),X_223),addition(X_222,addition(X_221,X_223))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
addition(X_221,addition(X_222,X_223)) = addition(X_222,addition(X_221,X_223)),
inference(resolve,[$cnf( $equal(addition(X_221,addition(X_222,X_223)),addition(addition(X_222,X_221),X_223)) )],[refute_0_1567,refute_0_1570]) ).
cnf(refute_0_1572,plain,
addition(X_221,addition(X_222,multiplication(antidomain(X_2270),X_221))) = addition(X_222,addition(X_221,multiplication(antidomain(X_2270),X_221))),
inference(subst,[],[refute_0_1571:[bind(X_223,$fot(multiplication(antidomain(X_2270),X_221)))]]) ).
cnf(refute_0_1573,plain,
X_221 = addition(X_221,multiplication(antidomain(X_2270),X_221)),
inference(subst,[],[refute_0_1263:[bind(X_157,$fot(X_221)),bind(X_330,$fot(X_2270))]]) ).
cnf(refute_0_1574,plain,
( X_221 != addition(X_221,multiplication(antidomain(X_2270),X_221))
| addition(X_221,multiplication(antidomain(X_2270),X_221)) = X_221 ),
inference(subst,[],[refute_0_40:[bind(X,$fot(X_221)),bind(Y,$fot(addition(X_221,multiplication(antidomain(X_2270),X_221))))]]) ).
cnf(refute_0_1575,plain,
addition(X_221,multiplication(antidomain(X_2270),X_221)) = X_221,
inference(resolve,[$cnf( $equal(X_221,addition(X_221,multiplication(antidomain(X_2270),X_221))) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
( addition(X_221,addition(X_222,multiplication(antidomain(X_2270),X_221))) != addition(X_222,addition(X_221,multiplication(antidomain(X_2270),X_221)))
| addition(X_221,multiplication(antidomain(X_2270),X_221)) != X_221
| addition(X_221,addition(X_222,multiplication(antidomain(X_2270),X_221))) = addition(X_222,X_221) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_221,addition(X_222,multiplication(antidomain(X_2270),X_221))),addition(X_222,addition(X_221,multiplication(antidomain(X_2270),X_221)))) ),[1,1],$fot(X_221)]]) ).
cnf(refute_0_1577,plain,
( addition(X_221,addition(X_222,multiplication(antidomain(X_2270),X_221))) != addition(X_222,addition(X_221,multiplication(antidomain(X_2270),X_221)))
| addition(X_221,addition(X_222,multiplication(antidomain(X_2270),X_221))) = addition(X_222,X_221) ),
inference(resolve,[$cnf( $equal(addition(X_221,multiplication(antidomain(X_2270),X_221)),X_221) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
addition(X_221,addition(X_222,multiplication(antidomain(X_2270),X_221))) = addition(X_222,X_221),
inference(resolve,[$cnf( $equal(addition(X_221,addition(X_222,multiplication(antidomain(X_2270),X_221))),addition(X_222,addition(X_221,multiplication(antidomain(X_2270),X_221)))) )],[refute_0_1572,refute_0_1577]) ).
cnf(refute_0_1579,plain,
addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))) = addition(X_1945,X_1944),
inference(subst,[],[refute_0_1578:[bind(X_221,$fot(X_1944)),bind(X_222,$fot(X_1945)),bind(X_2270,$fot(X_1945))]]) ).
cnf(refute_0_1580,plain,
( addition(X_1944,X_1945) != addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944)))
| addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))) != addition(X_1945,X_1944)
| addition(X_1944,X_1945) = addition(X_1945,X_1944) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_1944,X_1945),addition(X_1945,X_1944)) ),[0],$fot(addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))))]]) ).
cnf(refute_0_1581,plain,
( addition(X_1944,X_1945) != addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944)))
| addition(X_1944,X_1945) = addition(X_1945,X_1944) ),
inference(resolve,[$cnf( $equal(addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944))),addition(X_1945,X_1944)) )],[refute_0_1579,refute_0_1580]) ).
cnf(refute_0_1582,plain,
addition(X_1944,X_1945) = addition(X_1945,X_1944),
inference(resolve,[$cnf( $equal(addition(X_1944,X_1945),addition(X_1944,addition(X_1945,multiplication(antidomain(X_1945),X_1944)))) )],[refute_0_1560,refute_0_1581]) ).
cnf(refute_0_1583,plain,
( addition(X_1944,X_1945) != addition(X_1945,X_1944)
| addition(X_1945,X_1944) = addition(X_1944,X_1945) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(addition(X_1944,X_1945))),bind(Y,$fot(addition(X_1945,X_1944)))]]) ).
cnf(refute_0_1584,plain,
addition(X_1945,X_1944) = addition(X_1944,X_1945),
inference(resolve,[$cnf( $equal(addition(X_1944,X_1945),addition(X_1945,X_1944)) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
addition(codomain(antidomain(X_2413)),domain(X_2413)) = addition(domain(X_2413),codomain(antidomain(X_2413))),
inference(subst,[],[refute_0_1584:[bind(X_1944,$fot(domain(X_2413))),bind(X_1945,$fot(codomain(antidomain(X_2413))))]]) ).
cnf(refute_0_1586,plain,
addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)),
introduced(tautology,[refl,[$fot(addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)))]]) ).
cnf(refute_0_1587,plain,
( addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) != addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413))
| forward_diamond(domain(X_2413),X_2413) != domain(X_2413)
| addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),domain(X_2413)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)),addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413))) ),[1,1],$fot(domain(X_2413))]]) ).
cnf(refute_0_1588,plain,
( forward_diamond(domain(X_2413),X_2413) != domain(X_2413)
| addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),domain(X_2413)) ),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)),addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413))) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),domain(X_2413)),
inference(resolve,[$cnf( $equal(forward_diamond(domain(X_2413),X_2413),domain(X_2413)) )],[refute_0_1536,refute_0_1588]) ).
cnf(refute_0_1590,plain,
antidomain(domain(X_2413)) = antidomain(X_2413),
inference(subst,[],[refute_0_276:[bind(X0,$fot(X_2413))]]) ).
cnf(refute_0_1591,plain,
codomain(antidomain(domain(X_2413))) = codomain(antidomain(domain(X_2413))),
introduced(tautology,[refl,[$fot(codomain(antidomain(domain(X_2413))))]]) ).
cnf(refute_0_1592,plain,
( antidomain(domain(X_2413)) != antidomain(X_2413)
| codomain(antidomain(domain(X_2413))) != codomain(antidomain(domain(X_2413)))
| codomain(antidomain(domain(X_2413))) = codomain(antidomain(X_2413)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(antidomain(domain(X_2413))),codomain(antidomain(domain(X_2413)))) ),[1,0],$fot(antidomain(X_2413))]]) ).
cnf(refute_0_1593,plain,
( antidomain(domain(X_2413)) != antidomain(X_2413)
| codomain(antidomain(domain(X_2413))) = codomain(antidomain(X_2413)) ),
inference(resolve,[$cnf( $equal(codomain(antidomain(domain(X_2413))),codomain(antidomain(domain(X_2413)))) )],[refute_0_1591,refute_0_1592]) ).
cnf(refute_0_1594,plain,
codomain(antidomain(domain(X_2413))) = codomain(antidomain(X_2413)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_2413)),antidomain(X_2413)) )],[refute_0_1590,refute_0_1593]) ).
cnf(refute_0_1595,plain,
addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)),
introduced(tautology,[refl,[$fot(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)))]]) ).
cnf(refute_0_1596,plain,
( addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) != addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413))
| codomain(antidomain(domain(X_2413))) != codomain(antidomain(X_2413))
| addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)),addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413))) ),[1,0],$fot(codomain(antidomain(X_2413)))]]) ).
cnf(refute_0_1597,plain,
( codomain(antidomain(domain(X_2413))) != codomain(antidomain(X_2413))
| addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) ),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)),addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413))) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)),
inference(resolve,[$cnf( $equal(codomain(antidomain(domain(X_2413))),codomain(antidomain(X_2413))) )],[refute_0_1594,refute_0_1597]) ).
cnf(refute_0_1599,plain,
( addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) != addition(codomain(antidomain(X_2413)),domain(X_2413))
| addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) != addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413))
| addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),domain(X_2413)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)))),bind(Y,$fot(addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)))),bind(Z,$fot(addition(codomain(antidomain(X_2413)),domain(X_2413))))]]) ).
cnf(refute_0_1600,plain,
( addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)) != addition(codomain(antidomain(X_2413)),domain(X_2413))
| addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),domain(X_2413)) ),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)),addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413))) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(codomain(antidomain(X_2413)),domain(X_2413)),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(X_2413)),forward_diamond(domain(X_2413),X_2413)),addition(codomain(antidomain(X_2413)),domain(X_2413))) )],[refute_0_1589,refute_0_1600]) ).
cnf(refute_0_1602,plain,
( addition(codomain(antidomain(X_2413)),domain(X_2413)) != addition(domain(X_2413),codomain(antidomain(X_2413)))
| addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) != addition(codomain(antidomain(X_2413)),domain(X_2413))
| addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(domain(X_2413),codomain(antidomain(X_2413))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)))),bind(Y,$fot(addition(codomain(antidomain(X_2413)),domain(X_2413)))),bind(Z,$fot(addition(domain(X_2413),codomain(antidomain(X_2413)))))]]) ).
cnf(refute_0_1603,plain,
( addition(codomain(antidomain(X_2413)),domain(X_2413)) != addition(domain(X_2413),codomain(antidomain(X_2413)))
| addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(domain(X_2413),codomain(antidomain(X_2413))) ),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)),addition(codomain(antidomain(X_2413)),domain(X_2413))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) = addition(domain(X_2413),codomain(antidomain(X_2413))),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(X_2413)),domain(X_2413)),addition(domain(X_2413),codomain(antidomain(X_2413)))) )],[refute_0_1585,refute_0_1603]) ).
cnf(refute_0_1605,plain,
addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) = addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)),
inference(subst,[],[refute_0_1584:[bind(X_1944,$fot(codomain(antidomain(domain(X_2413))))),bind(X_1945,$fot(forward_diamond(domain(X_2413),X_2413)))]]) ).
cnf(refute_0_1606,plain,
( addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) != addition(domain(X_2413),codomain(antidomain(X_2413)))
| addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) != addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413))
| addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) = addition(domain(X_2413),codomain(antidomain(X_2413))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))))),bind(Y,$fot(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)))),bind(Z,$fot(addition(domain(X_2413),codomain(antidomain(X_2413)))))]]) ).
cnf(refute_0_1607,plain,
( addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)) != addition(domain(X_2413),codomain(antidomain(X_2413)))
| addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) = addition(domain(X_2413),codomain(antidomain(X_2413))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))),addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413))) )],[refute_0_1605,refute_0_1606]) ).
cnf(refute_0_1608,plain,
addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) = addition(domain(X_2413),codomain(antidomain(X_2413))),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(domain(X_2413))),forward_diamond(domain(X_2413),X_2413)),addition(domain(X_2413),codomain(antidomain(X_2413)))) )],[refute_0_1604,refute_0_1607]) ).
cnf(refute_0_1609,plain,
( addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) != addition(domain(X_2413),codomain(antidomain(X_2413)))
| addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) != one
| addition(domain(X_2413),codomain(antidomain(X_2413))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))),one) ),[0],$fot(addition(domain(X_2413),codomain(antidomain(X_2413))))]]) ).
cnf(refute_0_1610,plain,
( addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))) != one
| addition(domain(X_2413),codomain(antidomain(X_2413))) = one ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))),addition(domain(X_2413),codomain(antidomain(X_2413)))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
addition(domain(X_2413),codomain(antidomain(X_2413))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(domain(X_2413),X_2413),codomain(antidomain(domain(X_2413)))),one) )],[refute_0_1539,refute_0_1610]) ).
cnf(refute_0_1612,plain,
addition(domain(antidomain(X0)),codomain(antidomain(antidomain(X0)))) = one,
inference(subst,[],[refute_0_1611:[bind(X_2413,$fot(antidomain(X0)))]]) ).
cnf(refute_0_1613,plain,
( addition(domain(antidomain(X0)),codomain(antidomain(antidomain(X0)))) != one
| antidomain(antidomain(X0)) != domain(X0)
| addition(domain(antidomain(X0)),codomain(domain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(X0)),codomain(antidomain(antidomain(X0)))),one) ),[0,1,0],$fot(domain(X0))]]) ).
cnf(refute_0_1614,plain,
( addition(domain(antidomain(X0)),codomain(antidomain(antidomain(X0)))) != one
| addition(domain(antidomain(X0)),codomain(domain(X0))) = one ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_87,refute_0_1613]) ).
cnf(refute_0_1615,plain,
addition(domain(antidomain(X0)),codomain(domain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(X0)),codomain(antidomain(antidomain(X0)))),one) )],[refute_0_1612,refute_0_1614]) ).
cnf(refute_0_1616,plain,
addition(codomain(domain(X0)),antidomain(X0)) = addition(antidomain(X0),codomain(domain(X0))),
inference(subst,[],[refute_0_1584:[bind(X_1944,$fot(antidomain(X0))),bind(X_1945,$fot(codomain(domain(X0))))]]) ).
cnf(refute_0_1617,plain,
c(X_8) = antidomain(X_8),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_1618,plain,
( c(X_8) != antidomain(X_8)
| domain(antidomain(X_8)) != c(X_8)
| domain(antidomain(X_8)) = antidomain(X_8) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) ),[1],$fot(antidomain(X_8))]]) ).
cnf(refute_0_1619,plain,
( domain(antidomain(X_8)) != c(X_8)
| domain(antidomain(X_8)) = antidomain(X_8) ),
inference(resolve,[$cnf( $equal(c(X_8),antidomain(X_8)) )],[refute_0_1617,refute_0_1618]) ).
cnf(refute_0_1620,plain,
domain(antidomain(X_8)) = antidomain(X_8),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) )],[refute_0_169,refute_0_1619]) ).
cnf(refute_0_1621,plain,
domain(antidomain(X0)) = antidomain(X0),
inference(subst,[],[refute_0_1620:[bind(X_8,$fot(X0))]]) ).
cnf(refute_0_1622,plain,
addition(codomain(domain(X0)),domain(antidomain(X0))) = addition(codomain(domain(X0)),domain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(codomain(domain(X0)),domain(antidomain(X0))))]]) ).
cnf(refute_0_1623,plain,
( addition(codomain(domain(X0)),domain(antidomain(X0))) != addition(codomain(domain(X0)),domain(antidomain(X0)))
| domain(antidomain(X0)) != antidomain(X0)
| addition(codomain(domain(X0)),domain(antidomain(X0))) = addition(codomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(domain(X0)),domain(antidomain(X0))),addition(codomain(domain(X0)),domain(antidomain(X0)))) ),[1,1],$fot(antidomain(X0))]]) ).
cnf(refute_0_1624,plain,
( domain(antidomain(X0)) != antidomain(X0)
| addition(codomain(domain(X0)),domain(antidomain(X0))) = addition(codomain(domain(X0)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(codomain(domain(X0)),domain(antidomain(X0))),addition(codomain(domain(X0)),domain(antidomain(X0)))) )],[refute_0_1622,refute_0_1623]) ).
cnf(refute_0_1625,plain,
addition(codomain(domain(X0)),domain(antidomain(X0))) = addition(codomain(domain(X0)),antidomain(X0)),
inference(resolve,[$cnf( $equal(domain(antidomain(X0)),antidomain(X0)) )],[refute_0_1621,refute_0_1624]) ).
cnf(refute_0_1626,plain,
( addition(codomain(domain(X0)),antidomain(X0)) != addition(antidomain(X0),codomain(domain(X0)))
| addition(codomain(domain(X0)),domain(antidomain(X0))) != addition(codomain(domain(X0)),antidomain(X0))
| addition(codomain(domain(X0)),domain(antidomain(X0))) = addition(antidomain(X0),codomain(domain(X0))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(codomain(domain(X0)),domain(antidomain(X0))))),bind(Y,$fot(addition(codomain(domain(X0)),antidomain(X0)))),bind(Z,$fot(addition(antidomain(X0),codomain(domain(X0)))))]]) ).
cnf(refute_0_1627,plain,
( addition(codomain(domain(X0)),antidomain(X0)) != addition(antidomain(X0),codomain(domain(X0)))
| addition(codomain(domain(X0)),domain(antidomain(X0))) = addition(antidomain(X0),codomain(domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(codomain(domain(X0)),domain(antidomain(X0))),addition(codomain(domain(X0)),antidomain(X0))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
addition(codomain(domain(X0)),domain(antidomain(X0))) = addition(antidomain(X0),codomain(domain(X0))),
inference(resolve,[$cnf( $equal(addition(codomain(domain(X0)),antidomain(X0)),addition(antidomain(X0),codomain(domain(X0)))) )],[refute_0_1616,refute_0_1627]) ).
cnf(refute_0_1629,plain,
addition(domain(antidomain(X0)),codomain(domain(X0))) = addition(codomain(domain(X0)),domain(antidomain(X0))),
inference(subst,[],[refute_0_1584:[bind(X_1944,$fot(codomain(domain(X0)))),bind(X_1945,$fot(domain(antidomain(X0))))]]) ).
cnf(refute_0_1630,plain,
( addition(codomain(domain(X0)),domain(antidomain(X0))) != addition(antidomain(X0),codomain(domain(X0)))
| addition(domain(antidomain(X0)),codomain(domain(X0))) != addition(codomain(domain(X0)),domain(antidomain(X0)))
| addition(domain(antidomain(X0)),codomain(domain(X0))) = addition(antidomain(X0),codomain(domain(X0))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(domain(antidomain(X0)),codomain(domain(X0))))),bind(Y,$fot(addition(codomain(domain(X0)),domain(antidomain(X0))))),bind(Z,$fot(addition(antidomain(X0),codomain(domain(X0)))))]]) ).
cnf(refute_0_1631,plain,
( addition(codomain(domain(X0)),domain(antidomain(X0))) != addition(antidomain(X0),codomain(domain(X0)))
| addition(domain(antidomain(X0)),codomain(domain(X0))) = addition(antidomain(X0),codomain(domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(X0)),codomain(domain(X0))),addition(codomain(domain(X0)),domain(antidomain(X0)))) )],[refute_0_1629,refute_0_1630]) ).
cnf(refute_0_1632,plain,
addition(domain(antidomain(X0)),codomain(domain(X0))) = addition(antidomain(X0),codomain(domain(X0))),
inference(resolve,[$cnf( $equal(addition(codomain(domain(X0)),domain(antidomain(X0))),addition(antidomain(X0),codomain(domain(X0)))) )],[refute_0_1628,refute_0_1631]) ).
cnf(refute_0_1633,plain,
( addition(domain(antidomain(X0)),codomain(domain(X0))) != addition(antidomain(X0),codomain(domain(X0)))
| addition(domain(antidomain(X0)),codomain(domain(X0))) != one
| addition(antidomain(X0),codomain(domain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(X0)),codomain(domain(X0))),one) ),[0],$fot(addition(antidomain(X0),codomain(domain(X0))))]]) ).
cnf(refute_0_1634,plain,
( addition(domain(antidomain(X0)),codomain(domain(X0))) != one
| addition(antidomain(X0),codomain(domain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(X0)),codomain(domain(X0))),addition(antidomain(X0),codomain(domain(X0)))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
addition(antidomain(X0),codomain(domain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(X0)),codomain(domain(X0))),one) )],[refute_0_1615,refute_0_1634]) ).
cnf(refute_0_1636,plain,
addition(antidomain(X_157),codomain(domain(X_157))) = one,
inference(subst,[],[refute_0_1635:[bind(X0,$fot(X_157))]]) ).
cnf(refute_0_1637,plain,
( addition(antidomain(X_157),codomain(domain(X_157))) != one
| multiplication(addition(antidomain(X_157),codomain(domain(X_157))),X_157) != multiplication(codomain(domain(X_157)),X_157)
| multiplication(one,X_157) = multiplication(codomain(domain(X_157)),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_157),codomain(domain(X_157))),X_157),multiplication(codomain(domain(X_157)),X_157)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_1638,plain,
( multiplication(addition(antidomain(X_157),codomain(domain(X_157))),X_157) != multiplication(codomain(domain(X_157)),X_157)
| multiplication(one,X_157) = multiplication(codomain(domain(X_157)),X_157) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_157),codomain(domain(X_157))),one) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
multiplication(one,X_157) = multiplication(codomain(domain(X_157)),X_157),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_157),codomain(domain(X_157))),X_157),multiplication(codomain(domain(X_157)),X_157)) )],[refute_0_1228,refute_0_1638]) ).
cnf(refute_0_1640,plain,
( multiplication(one,X_157) != X_157
| multiplication(one,X_157) != multiplication(codomain(domain(X_157)),X_157)
| X_157 = multiplication(codomain(domain(X_157)),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_157),multiplication(codomain(domain(X_157)),X_157)) ),[0],$fot(X_157)]]) ).
cnf(refute_0_1641,plain,
( multiplication(one,X_157) != multiplication(codomain(domain(X_157)),X_157)
| X_157 = multiplication(codomain(domain(X_157)),X_157) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_157),X_157) )],[refute_0_21,refute_0_1640]) ).
cnf(refute_0_1642,plain,
X_157 = multiplication(codomain(domain(X_157)),X_157),
inference(resolve,[$cnf( $equal(multiplication(one,X_157),multiplication(codomain(domain(X_157)),X_157)) )],[refute_0_1639,refute_0_1641]) ).
cnf(refute_0_1643,plain,
domain(X1) = multiplication(codomain(domain(domain(X1))),domain(X1)),
inference(subst,[],[refute_0_1642:[bind(X_157,$fot(domain(X1)))]]) ).
cnf(refute_0_1644,plain,
( domain(X1) != multiplication(codomain(domain(domain(X1))),domain(X1))
| multiplication(codomain(domain(domain(X1))),domain(X1)) = domain(X1) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(X1))),bind(Y,$fot(multiplication(codomain(domain(domain(X1))),domain(X1))))]]) ).
cnf(refute_0_1645,plain,
multiplication(codomain(domain(domain(X1))),domain(X1)) = domain(X1),
inference(resolve,[$cnf( $equal(domain(X1),multiplication(codomain(domain(domain(X1))),domain(X1))) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
( forward_diamond(codomain(domain(domain(X1))),X1) != domain(multiplication(codomain(domain(domain(X1))),domain(X1)))
| multiplication(codomain(domain(domain(X1))),domain(X1)) != domain(X1)
| forward_diamond(codomain(domain(domain(X1))),X1) = domain(domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(codomain(domain(domain(X1))),X1),domain(multiplication(codomain(domain(domain(X1))),domain(X1)))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_1647,plain,
( forward_diamond(codomain(domain(domain(X1))),X1) != domain(multiplication(codomain(domain(domain(X1))),domain(X1)))
| forward_diamond(codomain(domain(domain(X1))),X1) = domain(domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(domain(X1))),domain(X1)),domain(X1)) )],[refute_0_1645,refute_0_1646]) ).
cnf(refute_0_1648,plain,
forward_diamond(codomain(domain(domain(X1))),X1) = domain(domain(X1)),
inference(resolve,[$cnf( $equal(forward_diamond(codomain(domain(domain(X1))),X1),domain(multiplication(codomain(domain(domain(X1))),domain(X1)))) )],[refute_0_1227,refute_0_1647]) ).
cnf(refute_0_1649,plain,
antidomain(c(X0)) = antidomain(c(X0)),
introduced(tautology,[refl,[$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1650,plain,
( antidomain(c(X0)) != antidomain(c(X0))
| c(X0) != antidomain(X0)
| antidomain(c(X0)) = antidomain(antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X0)),antidomain(c(X0))) ),[1,0],$fot(antidomain(X0))]]) ).
cnf(refute_0_1651,plain,
( c(X0) != antidomain(X0)
| antidomain(c(X0)) = antidomain(antidomain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),antidomain(c(X0))) )],[refute_0_1649,refute_0_1650]) ).
cnf(refute_0_1652,plain,
antidomain(c(X0)) = antidomain(antidomain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_271,refute_0_1651]) ).
cnf(refute_0_1653,plain,
( antidomain(antidomain(X0)) != domain(X0)
| antidomain(c(X0)) != antidomain(antidomain(X0))
| antidomain(c(X0)) = domain(X0) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(X0)))),bind(Y,$fot(antidomain(antidomain(X0)))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_1654,plain,
( antidomain(antidomain(X0)) != domain(X0)
| antidomain(c(X0)) = domain(X0) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),antidomain(antidomain(X0))) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
antidomain(c(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_87,refute_0_1654]) ).
cnf(refute_0_1656,plain,
( antidomain(c(X0)) != domain(X0)
| domain(domain(X0)) != antidomain(c(X0))
| domain(domain(X0)) = domain(X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) ),[1],$fot(domain(X0))]]) ).
cnf(refute_0_1657,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain(domain(X0)) = domain(X0) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),domain(X0)) )],[refute_0_1655,refute_0_1656]) ).
cnf(refute_0_1658,plain,
domain(domain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_188,refute_0_1657]) ).
cnf(refute_0_1659,plain,
domain(domain(X1)) = domain(X1),
inference(subst,[],[refute_0_1658:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_1660,plain,
codomain(domain(domain(X1))) = codomain(domain(domain(X1))),
introduced(tautology,[refl,[$fot(codomain(domain(domain(X1))))]]) ).
cnf(refute_0_1661,plain,
( codomain(domain(domain(X1))) != codomain(domain(domain(X1)))
| domain(domain(X1)) != domain(X1)
| codomain(domain(domain(X1))) = codomain(domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(domain(domain(X1))),codomain(domain(domain(X1)))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_1662,plain,
( domain(domain(X1)) != domain(X1)
| codomain(domain(domain(X1))) = codomain(domain(X1)) ),
inference(resolve,[$cnf( $equal(codomain(domain(domain(X1))),codomain(domain(domain(X1)))) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
codomain(domain(domain(X1))) = codomain(domain(X1)),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_1659,refute_0_1662]) ).
cnf(refute_0_1664,plain,
forward_diamond(codomain(domain(domain(X1))),X1) = forward_diamond(codomain(domain(domain(X1))),X1),
introduced(tautology,[refl,[$fot(forward_diamond(codomain(domain(domain(X1))),X1))]]) ).
cnf(refute_0_1665,plain,
( codomain(domain(domain(X1))) != codomain(domain(X1))
| forward_diamond(codomain(domain(domain(X1))),X1) != forward_diamond(codomain(domain(domain(X1))),X1)
| forward_diamond(codomain(domain(domain(X1))),X1) = forward_diamond(codomain(domain(X1)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(codomain(domain(domain(X1))),X1),forward_diamond(codomain(domain(domain(X1))),X1)) ),[1,0],$fot(codomain(domain(X1)))]]) ).
cnf(refute_0_1666,plain,
( codomain(domain(domain(X1))) != codomain(domain(X1))
| forward_diamond(codomain(domain(domain(X1))),X1) = forward_diamond(codomain(domain(X1)),X1) ),
inference(resolve,[$cnf( $equal(forward_diamond(codomain(domain(domain(X1))),X1),forward_diamond(codomain(domain(domain(X1))),X1)) )],[refute_0_1664,refute_0_1665]) ).
cnf(refute_0_1667,plain,
forward_diamond(codomain(domain(domain(X1))),X1) = forward_diamond(codomain(domain(X1)),X1),
inference(resolve,[$cnf( $equal(codomain(domain(domain(X1))),codomain(domain(X1))) )],[refute_0_1663,refute_0_1666]) ).
cnf(refute_0_1668,plain,
( forward_diamond(codomain(domain(domain(X1))),X1) != domain(domain(X1))
| forward_diamond(codomain(domain(domain(X1))),X1) != forward_diamond(codomain(domain(X1)),X1)
| forward_diamond(codomain(domain(X1)),X1) = domain(domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(codomain(domain(domain(X1))),X1),domain(domain(X1))) ),[0],$fot(forward_diamond(codomain(domain(X1)),X1))]]) ).
cnf(refute_0_1669,plain,
( forward_diamond(codomain(domain(domain(X1))),X1) != domain(domain(X1))
| forward_diamond(codomain(domain(X1)),X1) = domain(domain(X1)) ),
inference(resolve,[$cnf( $equal(forward_diamond(codomain(domain(domain(X1))),X1),forward_diamond(codomain(domain(X1)),X1)) )],[refute_0_1667,refute_0_1668]) ).
cnf(refute_0_1670,plain,
( domain(domain(X1)) != domain(X1)
| forward_diamond(codomain(domain(X1)),X1) != domain(domain(X1))
| forward_diamond(codomain(domain(X1)),X1) = domain(X1) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(codomain(domain(X1)),X1),domain(domain(X1))) ),[1],$fot(domain(X1))]]) ).
cnf(refute_0_1671,plain,
( forward_diamond(codomain(domain(X1)),X1) != domain(domain(X1))
| forward_diamond(codomain(domain(X1)),X1) = domain(X1) ),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_1659,refute_0_1670]) ).
cnf(refute_0_1672,plain,
( forward_diamond(codomain(domain(domain(X1))),X1) != domain(domain(X1))
| forward_diamond(codomain(domain(X1)),X1) = domain(X1) ),
inference(resolve,[$cnf( $equal(forward_diamond(codomain(domain(X1)),X1),domain(domain(X1))) )],[refute_0_1669,refute_0_1671]) ).
cnf(refute_0_1673,plain,
forward_diamond(codomain(domain(X1)),X1) = domain(X1),
inference(resolve,[$cnf( $equal(forward_diamond(codomain(domain(domain(X1))),X1),domain(domain(X1))) )],[refute_0_1648,refute_0_1672]) ).
cnf(refute_0_1674,plain,
forward_diamond(codomain(domain(X_2584)),X_2584) = domain(X_2584),
inference(subst,[],[refute_0_1673:[bind(X1,$fot(X_2584))]]) ).
cnf(refute_0_1675,plain,
( forward_diamond(codomain(domain(X_2584)),X_2584) != domain(X_2584)
| one != backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(codomain(domain(X_2584)),X_2584)))))
| one = backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(codomain(domain(X_2584)),X_2584)))))) ),[1,1,1,1,1],$fot(domain(X_2584))]]) ).
cnf(refute_0_1676,plain,
( one != backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(codomain(domain(X_2584)),X_2584)))))
| one = backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) ),
inference(resolve,[$cnf( $equal(forward_diamond(codomain(domain(X_2584)),X_2584),domain(X_2584)) )],[refute_0_1674,refute_0_1675]) ).
cnf(refute_0_1677,plain,
one = backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),
inference(resolve,[$cnf( $equal(one,backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(codomain(domain(X_2584)),X_2584)))))) )],[refute_0_1226,refute_0_1676]) ).
cnf(refute_0_1678,plain,
domain_difference(X_31,domain(X0)) = multiplication(domain(X_31),antidomain(domain(X0))),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X_31)),bind(X1,$fot(domain(X0)))]]) ).
cnf(refute_0_1679,plain,
( antidomain(domain(X0)) != c(X0)
| domain_difference(X_31,domain(X0)) != multiplication(domain(X_31),antidomain(domain(X0)))
| domain_difference(X_31,domain(X0)) = multiplication(domain(X_31),c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X_31,domain(X0)),multiplication(domain(X_31),antidomain(domain(X0)))) ),[1,1],$fot(c(X0))]]) ).
cnf(refute_0_1680,plain,
( domain_difference(X_31,domain(X0)) != multiplication(domain(X_31),antidomain(domain(X0)))
| domain_difference(X_31,domain(X0)) = multiplication(domain(X_31),c(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_165,refute_0_1679]) ).
cnf(refute_0_1681,plain,
domain_difference(X_31,domain(X0)) = multiplication(domain(X_31),c(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_31,domain(X0)),multiplication(domain(X_31),antidomain(domain(X0)))) )],[refute_0_1678,refute_0_1680]) ).
cnf(refute_0_1682,plain,
domain_difference(domain(X0),domain(X_71)) = multiplication(domain(domain(X0)),c(X_71)),
inference(subst,[],[refute_0_1681:[bind(X0,$fot(X_71)),bind(X_31,$fot(domain(X0)))]]) ).
cnf(refute_0_1683,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain_difference(domain(X0),domain(X_71)) != multiplication(domain(domain(X0)),c(X_71))
| domain_difference(domain(X0),domain(X_71)) = multiplication(antidomain(c(X0)),c(X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X0),domain(X_71)),multiplication(domain(domain(X0)),c(X_71))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1684,plain,
( domain_difference(domain(X0),domain(X_71)) != multiplication(domain(domain(X0)),c(X_71))
| domain_difference(domain(X0),domain(X_71)) = multiplication(antidomain(c(X0)),c(X_71)) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_188,refute_0_1683]) ).
cnf(refute_0_1685,plain,
domain_difference(domain(X0),domain(X_71)) = multiplication(antidomain(c(X0)),c(X_71)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),domain(X_71)),multiplication(domain(domain(X0)),c(X_71))) )],[refute_0_1682,refute_0_1684]) ).
cnf(refute_0_1686,plain,
multiplication(domain(X_31),antidomain(X0)) = domain_difference(X_31,X0),
inference(subst,[],[refute_0_1352:[bind(X0,$fot(X_31)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_1687,plain,
multiplication(domain(X_31),c(X0)) = multiplication(domain(X_31),c(X0)),
introduced(tautology,[refl,[$fot(multiplication(domain(X_31),c(X0)))]]) ).
cnf(refute_0_1688,plain,
( c(X0) != antidomain(X0)
| multiplication(domain(X_31),c(X0)) != multiplication(domain(X_31),c(X0))
| multiplication(domain(X_31),c(X0)) = multiplication(domain(X_31),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_31),c(X0)),multiplication(domain(X_31),c(X0))) ),[1,1],$fot(antidomain(X0))]]) ).
cnf(refute_0_1689,plain,
( c(X0) != antidomain(X0)
| multiplication(domain(X_31),c(X0)) = multiplication(domain(X_31),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),c(X0)),multiplication(domain(X_31),c(X0))) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
multiplication(domain(X_31),c(X0)) = multiplication(domain(X_31),antidomain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_271,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( multiplication(domain(X_31),antidomain(X0)) != domain_difference(X_31,X0)
| multiplication(domain(X_31),c(X0)) != multiplication(domain(X_31),antidomain(X0))
| multiplication(domain(X_31),c(X0)) = domain_difference(X_31,X0) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(domain(X_31),c(X0)))),bind(Y,$fot(multiplication(domain(X_31),antidomain(X0)))),bind(Z,$fot(domain_difference(X_31,X0)))]]) ).
cnf(refute_0_1692,plain,
( multiplication(domain(X_31),antidomain(X0)) != domain_difference(X_31,X0)
| multiplication(domain(X_31),c(X0)) = domain_difference(X_31,X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),c(X0)),multiplication(domain(X_31),antidomain(X0))) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
multiplication(domain(X_31),c(X0)) = domain_difference(X_31,X0),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),antidomain(X0)),domain_difference(X_31,X0)) )],[refute_0_1686,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( domain_difference(X_31,domain(X0)) != multiplication(domain(X_31),c(X0))
| multiplication(domain(X_31),c(X0)) != domain_difference(X_31,X0)
| domain_difference(X_31,domain(X0)) = domain_difference(X_31,X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(X_31,domain(X0)),domain_difference(X_31,X0)) ),[0],$fot(multiplication(domain(X_31),c(X0)))]]) ).
cnf(refute_0_1695,plain,
( domain_difference(X_31,domain(X0)) != multiplication(domain(X_31),c(X0))
| domain_difference(X_31,domain(X0)) = domain_difference(X_31,X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),c(X0)),domain_difference(X_31,X0)) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
domain_difference(X_31,domain(X0)) = domain_difference(X_31,X0),
inference(resolve,[$cnf( $equal(domain_difference(X_31,domain(X0)),multiplication(domain(X_31),c(X0))) )],[refute_0_1681,refute_0_1695]) ).
cnf(refute_0_1697,plain,
domain_difference(domain(X0),domain(X_71)) = domain_difference(domain(X0),X_71),
inference(subst,[],[refute_0_1696:[bind(X0,$fot(X_71)),bind(X_31,$fot(domain(X0)))]]) ).
cnf(refute_0_1698,plain,
( domain_difference(domain(X0),domain(X_71)) != domain_difference(domain(X0),X_71)
| domain_difference(domain(X0),domain(X_71)) != multiplication(antidomain(c(X0)),c(X_71))
| domain_difference(domain(X0),X_71) = multiplication(antidomain(c(X0)),c(X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X0),domain(X_71)),multiplication(antidomain(c(X0)),c(X_71))) ),[0],$fot(domain_difference(domain(X0),X_71))]]) ).
cnf(refute_0_1699,plain,
( domain_difference(domain(X0),domain(X_71)) != multiplication(antidomain(c(X0)),c(X_71))
| domain_difference(domain(X0),X_71) = multiplication(antidomain(c(X0)),c(X_71)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),domain(X_71)),domain_difference(domain(X0),X_71)) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
multiplication(domain(X0),antidomain(X_71)) = domain_difference(X0,X_71),
inference(subst,[],[refute_0_1352:[bind(X1,$fot(X_71))]]) ).
cnf(refute_0_1701,plain,
c(X_71) = antidomain(X_71),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_71))]]) ).
cnf(refute_0_1702,plain,
multiplication(domain(X0),c(X_71)) = multiplication(domain(X0),c(X_71)),
introduced(tautology,[refl,[$fot(multiplication(domain(X0),c(X_71)))]]) ).
cnf(refute_0_1703,plain,
( c(X_71) != antidomain(X_71)
| multiplication(domain(X0),c(X_71)) != multiplication(domain(X0),c(X_71))
| multiplication(domain(X0),c(X_71)) = multiplication(domain(X0),antidomain(X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),c(X_71)),multiplication(domain(X0),c(X_71))) ),[1,1],$fot(antidomain(X_71))]]) ).
cnf(refute_0_1704,plain,
( c(X_71) != antidomain(X_71)
| multiplication(domain(X0),c(X_71)) = multiplication(domain(X0),antidomain(X_71)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),c(X_71)),multiplication(domain(X0),c(X_71))) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
multiplication(domain(X0),c(X_71)) = multiplication(domain(X0),antidomain(X_71)),
inference(resolve,[$cnf( $equal(c(X_71),antidomain(X_71)) )],[refute_0_1701,refute_0_1704]) ).
cnf(refute_0_1706,plain,
multiplication(antidomain(c(X0)),c(X_71)) = multiplication(antidomain(c(X0)),c(X_71)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(c(X0)),c(X_71)))]]) ).
cnf(refute_0_1707,plain,
( antidomain(c(X0)) != domain(X0)
| multiplication(antidomain(c(X0)),c(X_71)) != multiplication(antidomain(c(X0)),c(X_71))
| multiplication(antidomain(c(X0)),c(X_71)) = multiplication(domain(X0),c(X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_71)),multiplication(antidomain(c(X0)),c(X_71))) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_1708,plain,
( antidomain(c(X0)) != domain(X0)
| multiplication(antidomain(c(X0)),c(X_71)) = multiplication(domain(X0),c(X_71)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_71)),multiplication(antidomain(c(X0)),c(X_71))) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
multiplication(antidomain(c(X0)),c(X_71)) = multiplication(domain(X0),c(X_71)),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),domain(X0)) )],[refute_0_1655,refute_0_1708]) ).
cnf(refute_0_1710,plain,
( multiplication(antidomain(c(X0)),c(X_71)) != multiplication(domain(X0),c(X_71))
| multiplication(domain(X0),c(X_71)) != multiplication(domain(X0),antidomain(X_71))
| multiplication(antidomain(c(X0)),c(X_71)) = multiplication(domain(X0),antidomain(X_71)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(c(X0)),c(X_71)))),bind(Y,$fot(multiplication(domain(X0),c(X_71)))),bind(Z,$fot(multiplication(domain(X0),antidomain(X_71))))]]) ).
cnf(refute_0_1711,plain,
( multiplication(domain(X0),c(X_71)) != multiplication(domain(X0),antidomain(X_71))
| multiplication(antidomain(c(X0)),c(X_71)) = multiplication(domain(X0),antidomain(X_71)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_71)),multiplication(domain(X0),c(X_71))) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
multiplication(antidomain(c(X0)),c(X_71)) = multiplication(domain(X0),antidomain(X_71)),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),c(X_71)),multiplication(domain(X0),antidomain(X_71))) )],[refute_0_1705,refute_0_1711]) ).
cnf(refute_0_1713,plain,
( multiplication(antidomain(c(X0)),c(X_71)) != multiplication(domain(X0),antidomain(X_71))
| multiplication(domain(X0),antidomain(X_71)) != domain_difference(X0,X_71)
| multiplication(antidomain(c(X0)),c(X_71)) = domain_difference(X0,X_71) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(c(X0)),c(X_71)))),bind(Y,$fot(multiplication(domain(X0),antidomain(X_71)))),bind(Z,$fot(domain_difference(X0,X_71)))]]) ).
cnf(refute_0_1714,plain,
( multiplication(domain(X0),antidomain(X_71)) != domain_difference(X0,X_71)
| multiplication(antidomain(c(X0)),c(X_71)) = domain_difference(X0,X_71) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_71)),multiplication(domain(X0),antidomain(X_71))) )],[refute_0_1712,refute_0_1713]) ).
cnf(refute_0_1715,plain,
multiplication(antidomain(c(X0)),c(X_71)) = domain_difference(X0,X_71),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),antidomain(X_71)),domain_difference(X0,X_71)) )],[refute_0_1700,refute_0_1714]) ).
cnf(refute_0_1716,plain,
( domain_difference(domain(X0),X_71) != multiplication(antidomain(c(X0)),c(X_71))
| multiplication(antidomain(c(X0)),c(X_71)) != domain_difference(X0,X_71)
| domain_difference(domain(X0),X_71) = domain_difference(X0,X_71) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(domain(X0),X_71),domain_difference(X0,X_71)) ),[0],$fot(multiplication(antidomain(c(X0)),c(X_71)))]]) ).
cnf(refute_0_1717,plain,
( domain_difference(domain(X0),X_71) != multiplication(antidomain(c(X0)),c(X_71))
| domain_difference(domain(X0),X_71) = domain_difference(X0,X_71) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_71)),domain_difference(X0,X_71)) )],[refute_0_1715,refute_0_1716]) ).
cnf(refute_0_1718,plain,
( domain_difference(domain(X0),domain(X_71)) != multiplication(antidomain(c(X0)),c(X_71))
| domain_difference(domain(X0),X_71) = domain_difference(X0,X_71) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),X_71),multiplication(antidomain(c(X0)),c(X_71))) )],[refute_0_1699,refute_0_1717]) ).
cnf(refute_0_1719,plain,
domain_difference(domain(X0),X_71) = domain_difference(X0,X_71),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),domain(X_71)),multiplication(antidomain(c(X0)),c(X_71))) )],[refute_0_1685,refute_0_1718]) ).
cnf(refute_0_1720,plain,
domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)) = domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)),
inference(subst,[],[refute_0_1719:[bind(X0,$fot(X_2584)),bind(X_71,$fot(forward_diamond(skolemFOFtoCNF_X0,X_2584)))]]) ).
cnf(refute_0_1721,plain,
forward_diamond(domain(antidomain(c(X0))),domain(X0)) = domain(multiplication(domain(antidomain(c(X0))),antidomain(c(X0)))),
inference(subst,[],[refute_0_1403:[bind(X_35,$fot(domain(antidomain(c(X0)))))]]) ).
cnf(refute_0_1722,plain,
antidomain(c(X0)) = multiplication(domain(antidomain(c(X0))),antidomain(c(X0))),
inference(subst,[],[refute_0_149:[bind(X_505,$fot(antidomain(c(X0))))]]) ).
cnf(refute_0_1723,plain,
( antidomain(c(X0)) != multiplication(domain(antidomain(c(X0))),antidomain(c(X0)))
| multiplication(domain(antidomain(c(X0))),antidomain(c(X0))) = antidomain(c(X0)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(antidomain(c(X0)))),bind(Y,$fot(multiplication(domain(antidomain(c(X0))),antidomain(c(X0)))))]]) ).
cnf(refute_0_1724,plain,
multiplication(domain(antidomain(c(X0))),antidomain(c(X0))) = antidomain(c(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),multiplication(domain(antidomain(c(X0))),antidomain(c(X0)))) )],[refute_0_1722,refute_0_1723]) ).
cnf(refute_0_1725,plain,
( forward_diamond(domain(antidomain(c(X0))),domain(X0)) != domain(multiplication(domain(antidomain(c(X0))),antidomain(c(X0))))
| multiplication(domain(antidomain(c(X0))),antidomain(c(X0))) != antidomain(c(X0))
| forward_diamond(domain(antidomain(c(X0))),domain(X0)) = domain(antidomain(c(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(domain(antidomain(c(X0))),domain(X0)),domain(multiplication(domain(antidomain(c(X0))),antidomain(c(X0))))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1726,plain,
( forward_diamond(domain(antidomain(c(X0))),domain(X0)) != domain(multiplication(domain(antidomain(c(X0))),antidomain(c(X0))))
| forward_diamond(domain(antidomain(c(X0))),domain(X0)) = domain(antidomain(c(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(c(X0))),antidomain(c(X0))),antidomain(c(X0))) )],[refute_0_1724,refute_0_1725]) ).
cnf(refute_0_1727,plain,
forward_diamond(domain(antidomain(c(X0))),domain(X0)) = domain(antidomain(c(X0))),
inference(resolve,[$cnf( $equal(forward_diamond(domain(antidomain(c(X0))),domain(X0)),domain(multiplication(domain(antidomain(c(X0))),antidomain(c(X0))))) )],[refute_0_1721,refute_0_1726]) ).
cnf(refute_0_1728,plain,
forward_diamond(c(X_8),domain(X_435)) = domain(multiplication(c(X_8),antidomain(c(X_435)))),
inference(subst,[],[refute_0_1403:[bind(X0,$fot(X_435)),bind(X_35,$fot(c(X_8)))]]) ).
cnf(refute_0_1729,plain,
domain_difference(antidomain(X_8),c(X_435)) = multiplication(c(X_8),antidomain(c(X_435))),
inference(subst,[],[refute_0_254:[bind(X_32,$fot(c(X_435)))]]) ).
cnf(refute_0_1730,plain,
( domain_difference(antidomain(X_8),c(X_435)) != multiplication(c(X_8),antidomain(c(X_435)))
| multiplication(c(X_8),antidomain(c(X_435))) = domain_difference(antidomain(X_8),c(X_435)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain_difference(antidomain(X_8),c(X_435)))),bind(Y,$fot(multiplication(c(X_8),antidomain(c(X_435)))))]]) ).
cnf(refute_0_1731,plain,
multiplication(c(X_8),antidomain(c(X_435))) = domain_difference(antidomain(X_8),c(X_435)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_8),c(X_435)),multiplication(c(X_8),antidomain(c(X_435)))) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
( forward_diamond(c(X_8),domain(X_435)) != domain(multiplication(c(X_8),antidomain(c(X_435))))
| multiplication(c(X_8),antidomain(c(X_435))) != domain_difference(antidomain(X_8),c(X_435))
| forward_diamond(c(X_8),domain(X_435)) = domain(domain_difference(antidomain(X_8),c(X_435))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(c(X_8),domain(X_435)),domain(multiplication(c(X_8),antidomain(c(X_435))))) ),[1,0],$fot(domain_difference(antidomain(X_8),c(X_435)))]]) ).
cnf(refute_0_1733,plain,
( forward_diamond(c(X_8),domain(X_435)) != domain(multiplication(c(X_8),antidomain(c(X_435))))
| forward_diamond(c(X_8),domain(X_435)) = domain(domain_difference(antidomain(X_8),c(X_435))) ),
inference(resolve,[$cnf( $equal(multiplication(c(X_8),antidomain(c(X_435))),domain_difference(antidomain(X_8),c(X_435))) )],[refute_0_1731,refute_0_1732]) ).
cnf(refute_0_1734,plain,
forward_diamond(c(X_8),domain(X_435)) = domain(domain_difference(antidomain(X_8),c(X_435))),
inference(resolve,[$cnf( $equal(forward_diamond(c(X_8),domain(X_435)),domain(multiplication(c(X_8),antidomain(c(X_435))))) )],[refute_0_1728,refute_0_1733]) ).
cnf(refute_0_1735,plain,
( forward_diamond(c(X_8),domain(X_435)) != domain(domain_difference(antidomain(X_8),c(X_435)))
| domain(domain_difference(antidomain(X_8),c(X_435))) = forward_diamond(c(X_8),domain(X_435)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_diamond(c(X_8),domain(X_435)))),bind(Y,$fot(domain(domain_difference(antidomain(X_8),c(X_435)))))]]) ).
cnf(refute_0_1736,plain,
domain(domain_difference(antidomain(X_8),c(X_435))) = forward_diamond(c(X_8),domain(X_435)),
inference(resolve,[$cnf( $equal(forward_diamond(c(X_8),domain(X_435)),domain(domain_difference(antidomain(X_8),c(X_435)))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
domain(domain_difference(antidomain(c(X0)),c(X0))) = forward_diamond(c(c(X0)),domain(X0)),
inference(subst,[],[refute_0_1736:[bind(X_435,$fot(X0)),bind(X_8,$fot(c(X0)))]]) ).
cnf(refute_0_1738,plain,
forward_diamond(domain(X_70),X1) = domain(multiplication(domain(X_70),domain(X1))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(domain(X_70)))]]) ).
cnf(refute_0_1739,plain,
domain_difference(X_70,antidomain(X1)) = multiplication(domain(X_70),domain(X1)),
inference(subst,[],[refute_0_872:[bind(X0,$fot(X1)),bind(X_31,$fot(X_70))]]) ).
cnf(refute_0_1740,plain,
( domain_difference(X_70,antidomain(X1)) != multiplication(domain(X_70),domain(X1))
| multiplication(domain(X_70),domain(X1)) = domain_difference(X_70,antidomain(X1)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain_difference(X_70,antidomain(X1)))),bind(Y,$fot(multiplication(domain(X_70),domain(X1))))]]) ).
cnf(refute_0_1741,plain,
multiplication(domain(X_70),domain(X1)) = domain_difference(X_70,antidomain(X1)),
inference(resolve,[$cnf( $equal(domain_difference(X_70,antidomain(X1)),multiplication(domain(X_70),domain(X1))) )],[refute_0_1739,refute_0_1740]) ).
cnf(refute_0_1742,plain,
( forward_diamond(domain(X_70),X1) != domain(multiplication(domain(X_70),domain(X1)))
| multiplication(domain(X_70),domain(X1)) != domain_difference(X_70,antidomain(X1))
| forward_diamond(domain(X_70),X1) = domain(domain_difference(X_70,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(domain(X_70),X1),domain(multiplication(domain(X_70),domain(X1)))) ),[1,0],$fot(domain_difference(X_70,antidomain(X1)))]]) ).
cnf(refute_0_1743,plain,
( forward_diamond(domain(X_70),X1) != domain(multiplication(domain(X_70),domain(X1)))
| forward_diamond(domain(X_70),X1) = domain(domain_difference(X_70,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_70),domain(X1)),domain_difference(X_70,antidomain(X1))) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
forward_diamond(domain(X_70),X1) = domain(domain_difference(X_70,antidomain(X1))),
inference(resolve,[$cnf( $equal(forward_diamond(domain(X_70),X1),domain(multiplication(domain(X_70),domain(X1)))) )],[refute_0_1738,refute_0_1743]) ).
cnf(refute_0_1745,plain,
forward_diamond(domain(X_173),domain(X0)) = domain(domain_difference(X_173,antidomain(domain(X0)))),
inference(subst,[],[refute_0_1744:[bind(X1,$fot(domain(X0))),bind(X_70,$fot(X_173))]]) ).
cnf(refute_0_1746,plain,
( antidomain(domain(X0)) != c(X0)
| forward_diamond(domain(X_173),domain(X0)) != domain(domain_difference(X_173,antidomain(domain(X0))))
| forward_diamond(domain(X_173),domain(X0)) = domain(domain_difference(X_173,c(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(domain(X_173),domain(X0)),domain(domain_difference(X_173,antidomain(domain(X0))))) ),[1,0,1],$fot(c(X0))]]) ).
cnf(refute_0_1747,plain,
( forward_diamond(domain(X_173),domain(X0)) != domain(domain_difference(X_173,antidomain(domain(X0))))
| forward_diamond(domain(X_173),domain(X0)) = domain(domain_difference(X_173,c(X0))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_165,refute_0_1746]) ).
cnf(refute_0_1748,plain,
forward_diamond(domain(X_173),domain(X0)) = domain(domain_difference(X_173,c(X0))),
inference(resolve,[$cnf( $equal(forward_diamond(domain(X_173),domain(X0)),domain(domain_difference(X_173,antidomain(domain(X0))))) )],[refute_0_1745,refute_0_1747]) ).
cnf(refute_0_1749,plain,
forward_diamond(domain(antidomain(c(X0))),domain(X0)) = domain(domain_difference(antidomain(c(X0)),c(X0))),
inference(subst,[],[refute_0_1748:[bind(X_173,$fot(antidomain(c(X0))))]]) ).
cnf(refute_0_1750,plain,
( domain(domain_difference(antidomain(c(X0)),c(X0))) != forward_diamond(c(c(X0)),domain(X0))
| forward_diamond(domain(antidomain(c(X0))),domain(X0)) != domain(domain_difference(antidomain(c(X0)),c(X0)))
| forward_diamond(domain(antidomain(c(X0))),domain(X0)) = forward_diamond(c(c(X0)),domain(X0)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(forward_diamond(domain(antidomain(c(X0))),domain(X0)))),bind(Y,$fot(domain(domain_difference(antidomain(c(X0)),c(X0))))),bind(Z,$fot(forward_diamond(c(c(X0)),domain(X0))))]]) ).
cnf(refute_0_1751,plain,
( domain(domain_difference(antidomain(c(X0)),c(X0))) != forward_diamond(c(c(X0)),domain(X0))
| forward_diamond(domain(antidomain(c(X0))),domain(X0)) = forward_diamond(c(c(X0)),domain(X0)) ),
inference(resolve,[$cnf( $equal(forward_diamond(domain(antidomain(c(X0))),domain(X0)),domain(domain_difference(antidomain(c(X0)),c(X0)))) )],[refute_0_1749,refute_0_1750]) ).
cnf(refute_0_1752,plain,
forward_diamond(domain(antidomain(c(X0))),domain(X0)) = forward_diamond(c(c(X0)),domain(X0)),
inference(resolve,[$cnf( $equal(domain(domain_difference(antidomain(c(X0)),c(X0))),forward_diamond(c(c(X0)),domain(X0))) )],[refute_0_1737,refute_0_1751]) ).
cnf(refute_0_1753,plain,
( forward_diamond(domain(antidomain(c(X0))),domain(X0)) != domain(antidomain(c(X0)))
| forward_diamond(domain(antidomain(c(X0))),domain(X0)) != forward_diamond(c(c(X0)),domain(X0))
| forward_diamond(c(c(X0)),domain(X0)) = domain(antidomain(c(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(domain(antidomain(c(X0))),domain(X0)),domain(antidomain(c(X0)))) ),[0],$fot(forward_diamond(c(c(X0)),domain(X0)))]]) ).
cnf(refute_0_1754,plain,
( forward_diamond(domain(antidomain(c(X0))),domain(X0)) != domain(antidomain(c(X0)))
| forward_diamond(c(c(X0)),domain(X0)) = domain(antidomain(c(X0))) ),
inference(resolve,[$cnf( $equal(forward_diamond(domain(antidomain(c(X0))),domain(X0)),forward_diamond(c(c(X0)),domain(X0))) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
domain(antidomain(c(X0))) = c(c(X0)),
inference(subst,[],[refute_0_169:[bind(X_8,$fot(c(X0)))]]) ).
cnf(refute_0_1756,plain,
( domain(antidomain(c(X0))) != c(c(X0))
| forward_diamond(c(c(X0)),domain(X0)) != domain(antidomain(c(X0)))
| forward_diamond(c(c(X0)),domain(X0)) = c(c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(c(c(X0)),domain(X0)),domain(antidomain(c(X0)))) ),[1],$fot(c(c(X0)))]]) ).
cnf(refute_0_1757,plain,
( forward_diamond(c(c(X0)),domain(X0)) != domain(antidomain(c(X0)))
| forward_diamond(c(c(X0)),domain(X0)) = c(c(X0)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(c(X0))),c(c(X0))) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
( forward_diamond(domain(antidomain(c(X0))),domain(X0)) != domain(antidomain(c(X0)))
| forward_diamond(c(c(X0)),domain(X0)) = c(c(X0)) ),
inference(resolve,[$cnf( $equal(forward_diamond(c(c(X0)),domain(X0)),domain(antidomain(c(X0)))) )],[refute_0_1754,refute_0_1757]) ).
cnf(refute_0_1759,plain,
forward_diamond(c(c(X0)),domain(X0)) = c(c(X0)),
inference(resolve,[$cnf( $equal(forward_diamond(domain(antidomain(c(X0))),domain(X0)),domain(antidomain(c(X0)))) )],[refute_0_1727,refute_0_1758]) ).
cnf(refute_0_1760,plain,
forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) = c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),
inference(subst,[],[refute_0_1759:[bind(X0,$fot(domain(forward_diamond(X_972,antidomain(c(X_971))))))]]) ).
cnf(refute_0_1761,plain,
domain(c(forward_diamond(X_78,c(X_79)))) = c(domain(forward_diamond(X_78,c(X_79)))),
inference(subst,[],[refute_0_855:[bind(X_11,$fot(forward_diamond(X_78,c(X_79))))]]) ).
cnf(refute_0_1762,plain,
forward_box(X_78,X_79) = c(forward_diamond(X_78,c(X_79))),
inference(subst,[],[refute_0_128:[bind(X0,$fot(X_78)),bind(X1,$fot(X_79))]]) ).
cnf(refute_0_1763,plain,
( forward_box(X_78,X_79) != c(forward_diamond(X_78,c(X_79)))
| c(forward_diamond(X_78,c(X_79))) = forward_box(X_78,X_79) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_box(X_78,X_79))),bind(Y,$fot(c(forward_diamond(X_78,c(X_79)))))]]) ).
cnf(refute_0_1764,plain,
c(forward_diamond(X_78,c(X_79))) = forward_box(X_78,X_79),
inference(resolve,[$cnf( $equal(forward_box(X_78,X_79),c(forward_diamond(X_78,c(X_79)))) )],[refute_0_1762,refute_0_1763]) ).
cnf(refute_0_1765,plain,
( c(forward_diamond(X_78,c(X_79))) != forward_box(X_78,X_79)
| domain(c(forward_diamond(X_78,c(X_79)))) != c(domain(forward_diamond(X_78,c(X_79))))
| domain(forward_box(X_78,X_79)) = c(domain(forward_diamond(X_78,c(X_79)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(c(forward_diamond(X_78,c(X_79)))),c(domain(forward_diamond(X_78,c(X_79))))) ),[0,0],$fot(forward_box(X_78,X_79))]]) ).
cnf(refute_0_1766,plain,
( domain(c(forward_diamond(X_78,c(X_79)))) != c(domain(forward_diamond(X_78,c(X_79))))
| domain(forward_box(X_78,X_79)) = c(domain(forward_diamond(X_78,c(X_79)))) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X_78,c(X_79))),forward_box(X_78,X_79)) )],[refute_0_1764,refute_0_1765]) ).
cnf(refute_0_1767,plain,
domain(forward_box(X_78,X_79)) = c(domain(forward_diamond(X_78,c(X_79)))),
inference(resolve,[$cnf( $equal(domain(c(forward_diamond(X_78,c(X_79)))),c(domain(forward_diamond(X_78,c(X_79))))) )],[refute_0_1761,refute_0_1766]) ).
cnf(refute_0_1768,plain,
domain(forward_box(X_145,antidomain(X_11))) = c(domain(forward_diamond(X_145,c(antidomain(X_11))))),
inference(subst,[],[refute_0_1767:[bind(X_78,$fot(X_145)),bind(X_79,$fot(antidomain(X_11)))]]) ).
cnf(refute_0_1769,plain,
( c(antidomain(X_11)) != antidomain(c(X_11))
| domain(forward_box(X_145,antidomain(X_11))) != c(domain(forward_diamond(X_145,c(antidomain(X_11)))))
| domain(forward_box(X_145,antidomain(X_11))) = c(domain(forward_diamond(X_145,antidomain(c(X_11))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(forward_box(X_145,antidomain(X_11))),c(domain(forward_diamond(X_145,c(antidomain(X_11)))))) ),[1,0,0,1],$fot(antidomain(c(X_11)))]]) ).
cnf(refute_0_1770,plain,
( domain(forward_box(X_145,antidomain(X_11))) != c(domain(forward_diamond(X_145,c(antidomain(X_11)))))
| domain(forward_box(X_145,antidomain(X_11))) = c(domain(forward_diamond(X_145,antidomain(c(X_11))))) ),
inference(resolve,[$cnf( $equal(c(antidomain(X_11)),antidomain(c(X_11))) )],[refute_0_184,refute_0_1769]) ).
cnf(refute_0_1771,plain,
domain(forward_box(X_145,antidomain(X_11))) = c(domain(forward_diamond(X_145,antidomain(c(X_11))))),
inference(resolve,[$cnf( $equal(domain(forward_box(X_145,antidomain(X_11))),c(domain(forward_diamond(X_145,c(antidomain(X_11)))))) )],[refute_0_1768,refute_0_1770]) ).
cnf(refute_0_1772,plain,
domain(forward_box(X_972,antidomain(X_971))) = c(domain(forward_diamond(X_972,antidomain(c(X_971))))),
inference(subst,[],[refute_0_1771:[bind(X_11,$fot(X_971)),bind(X_145,$fot(X_972))]]) ).
cnf(refute_0_1773,plain,
( domain(forward_box(X_972,antidomain(X_971))) != c(domain(forward_diamond(X_972,antidomain(c(X_971)))))
| c(domain(forward_diamond(X_972,antidomain(c(X_971))))) = domain(forward_box(X_972,antidomain(X_971))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(domain(forward_box(X_972,antidomain(X_971))))),bind(Y,$fot(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))))]]) ).
cnf(refute_0_1774,plain,
c(domain(forward_diamond(X_972,antidomain(c(X_971))))) = domain(forward_box(X_972,antidomain(X_971))),
inference(resolve,[$cnf( $equal(domain(forward_box(X_972,antidomain(X_971))),c(domain(forward_diamond(X_972,antidomain(c(X_971)))))) )],[refute_0_1772,refute_0_1773]) ).
cnf(refute_0_1775,plain,
( c(domain(forward_diamond(X_972,antidomain(c(X_971))))) != domain(forward_box(X_972,antidomain(X_971)))
| forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) != c(c(domain(forward_diamond(X_972,antidomain(c(X_971))))))
| forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) = c(domain(forward_box(X_972,antidomain(X_971)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))),c(c(domain(forward_diamond(X_972,antidomain(c(X_971))))))) ),[1,0],$fot(domain(forward_box(X_972,antidomain(X_971))))]]) ).
cnf(refute_0_1776,plain,
( forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) != c(c(domain(forward_diamond(X_972,antidomain(c(X_971))))))
| forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) = c(domain(forward_box(X_972,antidomain(X_971)))) ),
inference(resolve,[$cnf( $equal(c(domain(forward_diamond(X_972,antidomain(c(X_971))))),domain(forward_box(X_972,antidomain(X_971)))) )],[refute_0_1774,refute_0_1775]) ).
cnf(refute_0_1777,plain,
forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) = c(domain(forward_box(X_972,antidomain(X_971)))),
inference(resolve,[$cnf( $equal(forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))),c(c(domain(forward_diamond(X_972,antidomain(c(X_971))))))) )],[refute_0_1760,refute_0_1776]) ).
cnf(refute_0_1778,plain,
forward_box(one,multiplication(X_369,c(X_370))) = antidomain(c(c(c(multiplication(X_369,c(X_370)))))),
inference(subst,[],[refute_0_221:[bind(X_79,$fot(multiplication(X_369,c(X_370))))]]) ).
cnf(refute_0_1779,plain,
c(multiplication(X_117,domain(antidomain(X_8)))) = antidomain(forward_diamond(X_117,antidomain(X_8))),
inference(subst,[],[refute_0_1244:[bind(X_35,$fot(X_117)),bind(X_36,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_1780,plain,
( c(multiplication(X_117,domain(antidomain(X_8)))) != antidomain(forward_diamond(X_117,antidomain(X_8)))
| domain(antidomain(X_8)) != c(X_8)
| c(multiplication(X_117,c(X_8))) = antidomain(forward_diamond(X_117,antidomain(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_117,domain(antidomain(X_8)))),antidomain(forward_diamond(X_117,antidomain(X_8)))) ),[0,0,1],$fot(c(X_8))]]) ).
cnf(refute_0_1781,plain,
( c(multiplication(X_117,domain(antidomain(X_8)))) != antidomain(forward_diamond(X_117,antidomain(X_8)))
| c(multiplication(X_117,c(X_8))) = antidomain(forward_diamond(X_117,antidomain(X_8))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) )],[refute_0_169,refute_0_1780]) ).
cnf(refute_0_1782,plain,
c(multiplication(X_117,c(X_8))) = antidomain(forward_diamond(X_117,antidomain(X_8))),
inference(resolve,[$cnf( $equal(c(multiplication(X_117,domain(antidomain(X_8)))),antidomain(forward_diamond(X_117,antidomain(X_8)))) )],[refute_0_1779,refute_0_1781]) ).
cnf(refute_0_1783,plain,
c(multiplication(X_369,c(X_370))) = antidomain(forward_diamond(X_369,antidomain(X_370))),
inference(subst,[],[refute_0_1782:[bind(X_117,$fot(X_369)),bind(X_8,$fot(X_370))]]) ).
cnf(refute_0_1784,plain,
( c(multiplication(X_369,c(X_370))) != antidomain(forward_diamond(X_369,antidomain(X_370)))
| forward_box(one,multiplication(X_369,c(X_370))) != antidomain(c(c(c(multiplication(X_369,c(X_370))))))
| forward_box(one,multiplication(X_369,c(X_370))) = antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),antidomain(c(c(c(multiplication(X_369,c(X_370))))))) ),[1,0,0,0],$fot(antidomain(forward_diamond(X_369,antidomain(X_370))))]]) ).
cnf(refute_0_1785,plain,
( forward_box(one,multiplication(X_369,c(X_370))) != antidomain(c(c(c(multiplication(X_369,c(X_370))))))
| forward_box(one,multiplication(X_369,c(X_370))) = antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_369,c(X_370))),antidomain(forward_diamond(X_369,antidomain(X_370)))) )],[refute_0_1783,refute_0_1784]) ).
cnf(refute_0_1786,plain,
forward_box(one,multiplication(X_369,c(X_370))) = antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),antidomain(c(c(c(multiplication(X_369,c(X_370))))))) )],[refute_0_1778,refute_0_1785]) ).
cnf(refute_0_1787,plain,
domain(c(forward_diamond(X_369,antidomain(X_370)))) = c(domain(forward_diamond(X_369,antidomain(X_370)))),
inference(subst,[],[refute_0_855:[bind(X_11,$fot(forward_diamond(X_369,antidomain(X_370))))]]) ).
cnf(refute_0_1788,plain,
c(domain(c(forward_diamond(X_369,antidomain(X_370))))) = c(domain(c(forward_diamond(X_369,antidomain(X_370))))),
introduced(tautology,[refl,[$fot(c(domain(c(forward_diamond(X_369,antidomain(X_370))))))]]) ).
cnf(refute_0_1789,plain,
( c(domain(c(forward_diamond(X_369,antidomain(X_370))))) != c(domain(c(forward_diamond(X_369,antidomain(X_370)))))
| domain(c(forward_diamond(X_369,antidomain(X_370)))) != c(domain(forward_diamond(X_369,antidomain(X_370))))
| c(domain(c(forward_diamond(X_369,antidomain(X_370))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
introduced(tautology,[equality,[$cnf( $equal(c(domain(c(forward_diamond(X_369,antidomain(X_370))))),c(domain(c(forward_diamond(X_369,antidomain(X_370)))))) ),[1,0],$fot(c(domain(forward_diamond(X_369,antidomain(X_370)))))]]) ).
cnf(refute_0_1790,plain,
( domain(c(forward_diamond(X_369,antidomain(X_370)))) != c(domain(forward_diamond(X_369,antidomain(X_370))))
| c(domain(c(forward_diamond(X_369,antidomain(X_370))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(resolve,[$cnf( $equal(c(domain(c(forward_diamond(X_369,antidomain(X_370))))),c(domain(c(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
c(domain(c(forward_diamond(X_369,antidomain(X_370))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))),
inference(resolve,[$cnf( $equal(domain(c(forward_diamond(X_369,antidomain(X_370)))),c(domain(forward_diamond(X_369,antidomain(X_370))))) )],[refute_0_1787,refute_0_1790]) ).
cnf(refute_0_1792,plain,
domain(c(c(forward_diamond(X_369,antidomain(X_370))))) = c(domain(c(forward_diamond(X_369,antidomain(X_370))))),
inference(subst,[],[refute_0_855:[bind(X_11,$fot(c(forward_diamond(X_369,antidomain(X_370)))))]]) ).
cnf(refute_0_1793,plain,
( c(domain(c(forward_diamond(X_369,antidomain(X_370))))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| domain(c(c(forward_diamond(X_369,antidomain(X_370))))) != c(domain(c(forward_diamond(X_369,antidomain(X_370)))))
| domain(c(c(forward_diamond(X_369,antidomain(X_370))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain(c(c(forward_diamond(X_369,antidomain(X_370))))))),bind(Y,$fot(c(domain(c(forward_diamond(X_369,antidomain(X_370))))))),bind(Z,$fot(c(c(domain(forward_diamond(X_369,antidomain(X_370)))))))]]) ).
cnf(refute_0_1794,plain,
( c(domain(c(forward_diamond(X_369,antidomain(X_370))))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| domain(c(c(forward_diamond(X_369,antidomain(X_370))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(resolve,[$cnf( $equal(domain(c(c(forward_diamond(X_369,antidomain(X_370))))),c(domain(c(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1792,refute_0_1793]) ).
cnf(refute_0_1795,plain,
domain(c(c(forward_diamond(X_369,antidomain(X_370))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))),
inference(resolve,[$cnf( $equal(c(domain(c(forward_diamond(X_369,antidomain(X_370))))),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1791,refute_0_1794]) ).
cnf(refute_0_1796,plain,
antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) = domain(c(c(forward_diamond(X_369,antidomain(X_370))))),
inference(subst,[],[refute_0_87:[bind(X0,$fot(c(c(forward_diamond(X_369,antidomain(X_370))))))]]) ).
cnf(refute_0_1797,plain,
( antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) != domain(c(c(forward_diamond(X_369,antidomain(X_370)))))
| domain(c(c(forward_diamond(X_369,antidomain(X_370))))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))))),bind(Y,$fot(domain(c(c(forward_diamond(X_369,antidomain(X_370))))))),bind(Z,$fot(c(c(domain(forward_diamond(X_369,antidomain(X_370)))))))]]) ).
cnf(refute_0_1798,plain,
( domain(c(c(forward_diamond(X_369,antidomain(X_370))))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))),domain(c(c(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1796,refute_0_1797]) ).
cnf(refute_0_1799,plain,
antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))),
inference(resolve,[$cnf( $equal(domain(c(c(forward_diamond(X_369,antidomain(X_370))))),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1795,refute_0_1798]) ).
cnf(refute_0_1800,plain,
c(antidomain(c(forward_diamond(X_369,antidomain(X_370))))) = antidomain(c(c(forward_diamond(X_369,antidomain(X_370))))),
inference(subst,[],[refute_0_184:[bind(X_11,$fot(c(forward_diamond(X_369,antidomain(X_370)))))]]) ).
cnf(refute_0_1801,plain,
c(antidomain(forward_diamond(X_369,antidomain(X_370)))) = antidomain(c(forward_diamond(X_369,antidomain(X_370)))),
inference(subst,[],[refute_0_184:[bind(X_11,$fot(forward_diamond(X_369,antidomain(X_370))))]]) ).
cnf(refute_0_1802,plain,
c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) = c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))),
introduced(tautology,[refl,[$fot(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))]]) ).
cnf(refute_0_1803,plain,
( c(antidomain(forward_diamond(X_369,antidomain(X_370)))) != antidomain(c(forward_diamond(X_369,antidomain(X_370))))
| c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) != c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))
| c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) = c(antidomain(c(forward_diamond(X_369,antidomain(X_370))))) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))),c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) ),[1,0],$fot(antidomain(c(forward_diamond(X_369,antidomain(X_370)))))]]) ).
cnf(refute_0_1804,plain,
( c(antidomain(forward_diamond(X_369,antidomain(X_370)))) != antidomain(c(forward_diamond(X_369,antidomain(X_370))))
| c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) = c(antidomain(c(forward_diamond(X_369,antidomain(X_370))))) ),
inference(resolve,[$cnf( $equal(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))),c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) = c(antidomain(c(forward_diamond(X_369,antidomain(X_370))))),
inference(resolve,[$cnf( $equal(c(antidomain(forward_diamond(X_369,antidomain(X_370)))),antidomain(c(forward_diamond(X_369,antidomain(X_370))))) )],[refute_0_1801,refute_0_1804]) ).
cnf(refute_0_1806,plain,
( c(antidomain(c(forward_diamond(X_369,antidomain(X_370))))) != antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))
| c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) != c(antidomain(c(forward_diamond(X_369,antidomain(X_370)))))
| c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(c(c(forward_diamond(X_369,antidomain(X_370))))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))),bind(Y,$fot(c(antidomain(c(forward_diamond(X_369,antidomain(X_370))))))),bind(Z,$fot(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))))]]) ).
cnf(refute_0_1807,plain,
( c(antidomain(c(forward_diamond(X_369,antidomain(X_370))))) != antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))
| c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(c(c(forward_diamond(X_369,antidomain(X_370))))) ),
inference(resolve,[$cnf( $equal(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))),c(antidomain(c(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1805,refute_0_1806]) ).
cnf(refute_0_1808,plain,
c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(c(c(forward_diamond(X_369,antidomain(X_370))))),
inference(resolve,[$cnf( $equal(c(antidomain(c(forward_diamond(X_369,antidomain(X_370))))),antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1800,refute_0_1807]) ).
cnf(refute_0_1809,plain,
antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) = antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))),
introduced(tautology,[refl,[$fot(antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))))]]) ).
cnf(refute_0_1810,plain,
( antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) != antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))
| c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) != antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))
| antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) = antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))),antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))) ),[1,0],$fot(antidomain(c(c(forward_diamond(X_369,antidomain(X_370))))))]]) ).
cnf(refute_0_1811,plain,
( c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))) != antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))
| antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) = antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))),antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))) )],[refute_0_1809,refute_0_1810]) ).
cnf(refute_0_1812,plain,
antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) = antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))),
inference(resolve,[$cnf( $equal(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))),antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1808,refute_0_1811]) ).
cnf(refute_0_1813,plain,
( antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) != antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370))))))
| antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))))),bind(Y,$fot(antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))))),bind(Z,$fot(c(c(domain(forward_diamond(X_369,antidomain(X_370)))))))]]) ).
cnf(refute_0_1814,plain,
( antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))),antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370))))))) )],[refute_0_1812,refute_0_1813]) ).
cnf(refute_0_1815,plain,
antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(c(c(forward_diamond(X_369,antidomain(X_370)))))),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1799,refute_0_1814]) ).
cnf(refute_0_1816,plain,
( antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| forward_box(one,multiplication(X_369,c(X_370))) != antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))
| forward_box(one,multiplication(X_369,c(X_370))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))) ),[1],$fot(c(c(domain(forward_diamond(X_369,antidomain(X_370))))))]]) ).
cnf(refute_0_1817,plain,
( forward_box(one,multiplication(X_369,c(X_370))) != antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))
| forward_box(one,multiplication(X_369,c(X_370))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370)))))),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1815,refute_0_1816]) ).
cnf(refute_0_1818,plain,
forward_box(one,multiplication(X_369,c(X_370))) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),antidomain(c(c(antidomain(forward_diamond(X_369,antidomain(X_370))))))) )],[refute_0_1786,refute_0_1817]) ).
cnf(refute_0_1819,plain,
( forward_box(one,multiplication(X_369,c(X_370))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| c(c(domain(forward_diamond(X_369,antidomain(X_370))))) = forward_box(one,multiplication(X_369,c(X_370))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_box(one,multiplication(X_369,c(X_370))))),bind(Y,$fot(c(c(domain(forward_diamond(X_369,antidomain(X_370)))))))]]) ).
cnf(refute_0_1820,plain,
c(c(domain(forward_diamond(X_369,antidomain(X_370))))) = forward_box(one,multiplication(X_369,c(X_370))),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1818,refute_0_1819]) ).
cnf(refute_0_1821,plain,
c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))) = forward_box(one,multiplication(X_972,c(c(X_971)))),
inference(subst,[],[refute_0_1820:[bind(X_369,$fot(X_972)),bind(X_370,$fot(c(X_971)))]]) ).
cnf(refute_0_1822,plain,
( c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))) != forward_box(one,multiplication(X_972,c(c(X_971))))
| forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) != c(c(domain(forward_diamond(X_972,antidomain(c(X_971))))))
| forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) = forward_box(one,multiplication(X_972,c(c(X_971)))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))))),bind(Y,$fot(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))))),bind(Z,$fot(forward_box(one,multiplication(X_972,c(c(X_971))))))]]) ).
cnf(refute_0_1823,plain,
( c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))) != forward_box(one,multiplication(X_972,c(c(X_971))))
| forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) = forward_box(one,multiplication(X_972,c(c(X_971)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))),c(c(domain(forward_diamond(X_972,antidomain(c(X_971))))))) )],[refute_0_1760,refute_0_1822]) ).
cnf(refute_0_1824,plain,
forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) = forward_box(one,multiplication(X_972,c(c(X_971)))),
inference(resolve,[$cnf( $equal(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),forward_box(one,multiplication(X_972,c(c(X_971))))) )],[refute_0_1821,refute_0_1823]) ).
cnf(refute_0_1825,plain,
( forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) != c(domain(forward_box(X_972,antidomain(X_971))))
| forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) != forward_box(one,multiplication(X_972,c(c(X_971))))
| forward_box(one,multiplication(X_972,c(c(X_971)))) = c(domain(forward_box(X_972,antidomain(X_971)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))),c(domain(forward_box(X_972,antidomain(X_971))))) ),[0],$fot(forward_box(one,multiplication(X_972,c(c(X_971)))))]]) ).
cnf(refute_0_1826,plain,
( forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))) != c(domain(forward_box(X_972,antidomain(X_971))))
| forward_box(one,multiplication(X_972,c(c(X_971)))) = c(domain(forward_box(X_972,antidomain(X_971)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))),forward_box(one,multiplication(X_972,c(c(X_971))))) )],[refute_0_1824,refute_0_1825]) ).
cnf(refute_0_1827,plain,
forward_box(one,multiplication(X_972,c(c(X_971)))) = c(domain(forward_box(X_972,antidomain(X_971)))),
inference(resolve,[$cnf( $equal(forward_diamond(c(c(domain(forward_diamond(X_972,antidomain(c(X_971)))))),domain(domain(forward_diamond(X_972,antidomain(c(X_971)))))),c(domain(forward_box(X_972,antidomain(X_971))))) )],[refute_0_1777,refute_0_1826]) ).
cnf(refute_0_1828,plain,
domain(multiplication(X_972,domain(X_971))) = forward_diamond(X_972,X_971),
inference(subst,[],[refute_0_491:[bind(X0,$fot(X_972)),bind(X1,$fot(X_971))]]) ).
cnf(refute_0_1829,plain,
antidomain(antidomain(X_971)) = domain(X_971),
inference(subst,[],[refute_0_87:[bind(X0,$fot(X_971))]]) ).
cnf(refute_0_1830,plain,
c(X_971) = antidomain(X_971),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_971))]]) ).
cnf(refute_0_1831,plain,
antidomain(c(X_971)) = antidomain(c(X_971)),
introduced(tautology,[refl,[$fot(antidomain(c(X_971)))]]) ).
cnf(refute_0_1832,plain,
( antidomain(c(X_971)) != antidomain(c(X_971))
| c(X_971) != antidomain(X_971)
| antidomain(c(X_971)) = antidomain(antidomain(X_971)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_971)),antidomain(c(X_971))) ),[1,0],$fot(antidomain(X_971))]]) ).
cnf(refute_0_1833,plain,
( c(X_971) != antidomain(X_971)
| antidomain(c(X_971)) = antidomain(antidomain(X_971)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_971)),antidomain(c(X_971))) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
antidomain(c(X_971)) = antidomain(antidomain(X_971)),
inference(resolve,[$cnf( $equal(c(X_971),antidomain(X_971)) )],[refute_0_1830,refute_0_1833]) ).
cnf(refute_0_1835,plain,
( antidomain(antidomain(X_971)) != domain(X_971)
| antidomain(c(X_971)) != antidomain(antidomain(X_971))
| antidomain(c(X_971)) = domain(X_971) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(c(X_971)))),bind(Y,$fot(antidomain(antidomain(X_971)))),bind(Z,$fot(domain(X_971)))]]) ).
cnf(refute_0_1836,plain,
( antidomain(antidomain(X_971)) != domain(X_971)
| antidomain(c(X_971)) = domain(X_971) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_971)),antidomain(antidomain(X_971))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
antidomain(c(X_971)) = domain(X_971),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_971)),domain(X_971)) )],[refute_0_1829,refute_0_1836]) ).
cnf(refute_0_1838,plain,
c(c(X_971)) = antidomain(c(X_971)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(c(X_971)))]]) ).
cnf(refute_0_1839,plain,
( antidomain(c(X_971)) != domain(X_971)
| c(c(X_971)) != antidomain(c(X_971))
| c(c(X_971)) = domain(X_971) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(c(X_971)))),bind(Y,$fot(antidomain(c(X_971)))),bind(Z,$fot(domain(X_971)))]]) ).
cnf(refute_0_1840,plain,
( antidomain(c(X_971)) != domain(X_971)
| c(c(X_971)) = domain(X_971) ),
inference(resolve,[$cnf( $equal(c(c(X_971)),antidomain(c(X_971))) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
c(c(X_971)) = domain(X_971),
inference(resolve,[$cnf( $equal(antidomain(c(X_971)),domain(X_971)) )],[refute_0_1837,refute_0_1840]) ).
cnf(refute_0_1842,plain,
multiplication(X_972,c(c(X_971))) = multiplication(X_972,c(c(X_971))),
introduced(tautology,[refl,[$fot(multiplication(X_972,c(c(X_971))))]]) ).
cnf(refute_0_1843,plain,
( c(c(X_971)) != domain(X_971)
| multiplication(X_972,c(c(X_971))) != multiplication(X_972,c(c(X_971)))
| multiplication(X_972,c(c(X_971))) = multiplication(X_972,domain(X_971)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_972,c(c(X_971))),multiplication(X_972,c(c(X_971)))) ),[1,1],$fot(domain(X_971))]]) ).
cnf(refute_0_1844,plain,
( c(c(X_971)) != domain(X_971)
| multiplication(X_972,c(c(X_971))) = multiplication(X_972,domain(X_971)) ),
inference(resolve,[$cnf( $equal(multiplication(X_972,c(c(X_971))),multiplication(X_972,c(c(X_971)))) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
multiplication(X_972,c(c(X_971))) = multiplication(X_972,domain(X_971)),
inference(resolve,[$cnf( $equal(c(c(X_971)),domain(X_971)) )],[refute_0_1841,refute_0_1844]) ).
cnf(refute_0_1846,plain,
domain(multiplication(X_972,c(c(X_971)))) = domain(multiplication(X_972,c(c(X_971)))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_972,c(c(X_971)))))]]) ).
cnf(refute_0_1847,plain,
( domain(multiplication(X_972,c(c(X_971)))) != domain(multiplication(X_972,c(c(X_971))))
| multiplication(X_972,c(c(X_971))) != multiplication(X_972,domain(X_971))
| domain(multiplication(X_972,c(c(X_971)))) = domain(multiplication(X_972,domain(X_971))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_972,c(c(X_971)))),domain(multiplication(X_972,c(c(X_971))))) ),[1,0],$fot(multiplication(X_972,domain(X_971)))]]) ).
cnf(refute_0_1848,plain,
( multiplication(X_972,c(c(X_971))) != multiplication(X_972,domain(X_971))
| domain(multiplication(X_972,c(c(X_971)))) = domain(multiplication(X_972,domain(X_971))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_972,c(c(X_971)))),domain(multiplication(X_972,c(c(X_971))))) )],[refute_0_1846,refute_0_1847]) ).
cnf(refute_0_1849,plain,
domain(multiplication(X_972,c(c(X_971)))) = domain(multiplication(X_972,domain(X_971))),
inference(resolve,[$cnf( $equal(multiplication(X_972,c(c(X_971))),multiplication(X_972,domain(X_971))) )],[refute_0_1845,refute_0_1848]) ).
cnf(refute_0_1850,plain,
( domain(multiplication(X_972,c(c(X_971)))) != domain(multiplication(X_972,domain(X_971)))
| domain(multiplication(X_972,domain(X_971))) != forward_diamond(X_972,X_971)
| domain(multiplication(X_972,c(c(X_971)))) = forward_diamond(X_972,X_971) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain(multiplication(X_972,c(c(X_971)))))),bind(Y,$fot(domain(multiplication(X_972,domain(X_971))))),bind(Z,$fot(forward_diamond(X_972,X_971)))]]) ).
cnf(refute_0_1851,plain,
( domain(multiplication(X_972,domain(X_971))) != forward_diamond(X_972,X_971)
| domain(multiplication(X_972,c(c(X_971)))) = forward_diamond(X_972,X_971) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_972,c(c(X_971)))),domain(multiplication(X_972,domain(X_971)))) )],[refute_0_1849,refute_0_1850]) ).
cnf(refute_0_1852,plain,
domain(multiplication(X_972,c(c(X_971)))) = forward_diamond(X_972,X_971),
inference(resolve,[$cnf( $equal(domain(multiplication(X_972,domain(X_971))),forward_diamond(X_972,X_971)) )],[refute_0_1828,refute_0_1851]) ).
cnf(refute_0_1853,plain,
forward_box(one,multiplication(X_972,c(c(X_971)))) = domain(multiplication(X_972,c(c(X_971)))),
inference(subst,[],[refute_0_338:[bind(X_79,$fot(multiplication(X_972,c(c(X_971)))))]]) ).
cnf(refute_0_1854,plain,
( domain(multiplication(X_972,c(c(X_971)))) != forward_diamond(X_972,X_971)
| forward_box(one,multiplication(X_972,c(c(X_971)))) != domain(multiplication(X_972,c(c(X_971))))
| forward_box(one,multiplication(X_972,c(c(X_971)))) = forward_diamond(X_972,X_971) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(forward_box(one,multiplication(X_972,c(c(X_971)))))),bind(Y,$fot(domain(multiplication(X_972,c(c(X_971)))))),bind(Z,$fot(forward_diamond(X_972,X_971)))]]) ).
cnf(refute_0_1855,plain,
( domain(multiplication(X_972,c(c(X_971)))) != forward_diamond(X_972,X_971)
| forward_box(one,multiplication(X_972,c(c(X_971)))) = forward_diamond(X_972,X_971) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_972,c(c(X_971)))),domain(multiplication(X_972,c(c(X_971))))) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
forward_box(one,multiplication(X_972,c(c(X_971)))) = forward_diamond(X_972,X_971),
inference(resolve,[$cnf( $equal(domain(multiplication(X_972,c(c(X_971)))),forward_diamond(X_972,X_971)) )],[refute_0_1852,refute_0_1855]) ).
cnf(refute_0_1857,plain,
( forward_box(one,multiplication(X_972,c(c(X_971)))) != c(domain(forward_box(X_972,antidomain(X_971))))
| forward_box(one,multiplication(X_972,c(c(X_971)))) != forward_diamond(X_972,X_971)
| forward_diamond(X_972,X_971) = c(domain(forward_box(X_972,antidomain(X_971)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_972,c(c(X_971)))),c(domain(forward_box(X_972,antidomain(X_971))))) ),[0],$fot(forward_diamond(X_972,X_971))]]) ).
cnf(refute_0_1858,plain,
( forward_box(one,multiplication(X_972,c(c(X_971)))) != c(domain(forward_box(X_972,antidomain(X_971))))
| forward_diamond(X_972,X_971) = c(domain(forward_box(X_972,antidomain(X_971)))) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_972,c(c(X_971)))),forward_diamond(X_972,X_971)) )],[refute_0_1856,refute_0_1857]) ).
cnf(refute_0_1859,plain,
antidomain(domain(forward_box(X_972,antidomain(X_971)))) = antidomain(forward_box(X_972,antidomain(X_971))),
inference(subst,[],[refute_0_276:[bind(X0,$fot(forward_box(X_972,antidomain(X_971))))]]) ).
cnf(refute_0_1860,plain,
c(domain(forward_box(X_972,antidomain(X_971)))) = antidomain(domain(forward_box(X_972,antidomain(X_971)))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(domain(forward_box(X_972,antidomain(X_971)))))]]) ).
cnf(refute_0_1861,plain,
( antidomain(domain(forward_box(X_972,antidomain(X_971)))) != antidomain(forward_box(X_972,antidomain(X_971)))
| c(domain(forward_box(X_972,antidomain(X_971)))) != antidomain(domain(forward_box(X_972,antidomain(X_971))))
| c(domain(forward_box(X_972,antidomain(X_971)))) = antidomain(forward_box(X_972,antidomain(X_971))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(domain(forward_box(X_972,antidomain(X_971)))))),bind(Y,$fot(antidomain(domain(forward_box(X_972,antidomain(X_971)))))),bind(Z,$fot(antidomain(forward_box(X_972,antidomain(X_971)))))]]) ).
cnf(refute_0_1862,plain,
( antidomain(domain(forward_box(X_972,antidomain(X_971)))) != antidomain(forward_box(X_972,antidomain(X_971)))
| c(domain(forward_box(X_972,antidomain(X_971)))) = antidomain(forward_box(X_972,antidomain(X_971))) ),
inference(resolve,[$cnf( $equal(c(domain(forward_box(X_972,antidomain(X_971)))),antidomain(domain(forward_box(X_972,antidomain(X_971))))) )],[refute_0_1860,refute_0_1861]) ).
cnf(refute_0_1863,plain,
c(domain(forward_box(X_972,antidomain(X_971)))) = antidomain(forward_box(X_972,antidomain(X_971))),
inference(resolve,[$cnf( $equal(antidomain(domain(forward_box(X_972,antidomain(X_971)))),antidomain(forward_box(X_972,antidomain(X_971)))) )],[refute_0_1859,refute_0_1862]) ).
cnf(refute_0_1864,plain,
( c(domain(forward_box(X_972,antidomain(X_971)))) != antidomain(forward_box(X_972,antidomain(X_971)))
| forward_diamond(X_972,X_971) != c(domain(forward_box(X_972,antidomain(X_971))))
| forward_diamond(X_972,X_971) = antidomain(forward_box(X_972,antidomain(X_971))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_972,X_971),c(domain(forward_box(X_972,antidomain(X_971))))) ),[1],$fot(antidomain(forward_box(X_972,antidomain(X_971))))]]) ).
cnf(refute_0_1865,plain,
( forward_diamond(X_972,X_971) != c(domain(forward_box(X_972,antidomain(X_971))))
| forward_diamond(X_972,X_971) = antidomain(forward_box(X_972,antidomain(X_971))) ),
inference(resolve,[$cnf( $equal(c(domain(forward_box(X_972,antidomain(X_971)))),antidomain(forward_box(X_972,antidomain(X_971)))) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
( forward_box(one,multiplication(X_972,c(c(X_971)))) != c(domain(forward_box(X_972,antidomain(X_971))))
| forward_diamond(X_972,X_971) = antidomain(forward_box(X_972,antidomain(X_971))) ),
inference(resolve,[$cnf( $equal(forward_diamond(X_972,X_971),c(domain(forward_box(X_972,antidomain(X_971))))) )],[refute_0_1858,refute_0_1865]) ).
cnf(refute_0_1867,plain,
forward_diamond(X_972,X_971) = antidomain(forward_box(X_972,antidomain(X_971))),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_972,c(c(X_971)))),c(domain(forward_box(X_972,antidomain(X_971))))) )],[refute_0_1827,refute_0_1866]) ).
cnf(refute_0_1868,plain,
( forward_diamond(X_972,X_971) != antidomain(forward_box(X_972,antidomain(X_971)))
| antidomain(forward_box(X_972,antidomain(X_971))) = forward_diamond(X_972,X_971) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_diamond(X_972,X_971))),bind(Y,$fot(antidomain(forward_box(X_972,antidomain(X_971)))))]]) ).
cnf(refute_0_1869,plain,
antidomain(forward_box(X_972,antidomain(X_971))) = forward_diamond(X_972,X_971),
inference(resolve,[$cnf( $equal(forward_diamond(X_972,X_971),antidomain(forward_box(X_972,antidomain(X_971)))) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
antidomain(forward_box(X_35,antidomain(X0))) = forward_diamond(X_35,X0),
inference(subst,[],[refute_0_1869:[bind(X_971,$fot(X0)),bind(X_972,$fot(X_35))]]) ).
cnf(refute_0_1871,plain,
forward_box(X_35,c(X0)) = forward_box(X_35,c(X0)),
introduced(tautology,[refl,[$fot(forward_box(X_35,c(X0)))]]) ).
cnf(refute_0_1872,plain,
( c(X0) != antidomain(X0)
| forward_box(X_35,c(X0)) != forward_box(X_35,c(X0))
| forward_box(X_35,c(X0)) = forward_box(X_35,antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X_35,c(X0)),forward_box(X_35,c(X0))) ),[1,1],$fot(antidomain(X0))]]) ).
cnf(refute_0_1873,plain,
( c(X0) != antidomain(X0)
| forward_box(X_35,c(X0)) = forward_box(X_35,antidomain(X0)) ),
inference(resolve,[$cnf( $equal(forward_box(X_35,c(X0)),forward_box(X_35,c(X0))) )],[refute_0_1871,refute_0_1872]) ).
cnf(refute_0_1874,plain,
forward_box(X_35,c(X0)) = forward_box(X_35,antidomain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_271,refute_0_1873]) ).
cnf(refute_0_1875,plain,
antidomain(forward_box(X_35,c(X0))) = antidomain(forward_box(X_35,c(X0))),
introduced(tautology,[refl,[$fot(antidomain(forward_box(X_35,c(X0))))]]) ).
cnf(refute_0_1876,plain,
( antidomain(forward_box(X_35,c(X0))) != antidomain(forward_box(X_35,c(X0)))
| forward_box(X_35,c(X0)) != forward_box(X_35,antidomain(X0))
| antidomain(forward_box(X_35,c(X0))) = antidomain(forward_box(X_35,antidomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(forward_box(X_35,c(X0))),antidomain(forward_box(X_35,c(X0)))) ),[1,0],$fot(forward_box(X_35,antidomain(X0)))]]) ).
cnf(refute_0_1877,plain,
( forward_box(X_35,c(X0)) != forward_box(X_35,antidomain(X0))
| antidomain(forward_box(X_35,c(X0))) = antidomain(forward_box(X_35,antidomain(X0))) ),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_35,c(X0))),antidomain(forward_box(X_35,c(X0)))) )],[refute_0_1875,refute_0_1876]) ).
cnf(refute_0_1878,plain,
antidomain(forward_box(X_35,c(X0))) = antidomain(forward_box(X_35,antidomain(X0))),
inference(resolve,[$cnf( $equal(forward_box(X_35,c(X0)),forward_box(X_35,antidomain(X0))) )],[refute_0_1874,refute_0_1877]) ).
cnf(refute_0_1879,plain,
( antidomain(forward_box(X_35,antidomain(X0))) != forward_diamond(X_35,X0)
| antidomain(forward_box(X_35,c(X0))) != antidomain(forward_box(X_35,antidomain(X0)))
| antidomain(forward_box(X_35,c(X0))) = forward_diamond(X_35,X0) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(forward_box(X_35,c(X0))))),bind(Y,$fot(antidomain(forward_box(X_35,antidomain(X0))))),bind(Z,$fot(forward_diamond(X_35,X0)))]]) ).
cnf(refute_0_1880,plain,
( antidomain(forward_box(X_35,antidomain(X0))) != forward_diamond(X_35,X0)
| antidomain(forward_box(X_35,c(X0))) = forward_diamond(X_35,X0) ),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_35,c(X0))),antidomain(forward_box(X_35,antidomain(X0)))) )],[refute_0_1878,refute_0_1879]) ).
cnf(refute_0_1881,plain,
antidomain(forward_box(X_35,c(X0))) = forward_diamond(X_35,X0),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_35,antidomain(X0))),forward_diamond(X_35,X0)) )],[refute_0_1870,refute_0_1880]) ).
cnf(refute_0_1882,plain,
forward_diamond(X_35,antidomain(X_8)) = domain(multiplication(X_35,domain(antidomain(X_8)))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(X_35)),bind(X1,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_1883,plain,
( domain(antidomain(X_8)) != c(X_8)
| forward_diamond(X_35,antidomain(X_8)) != domain(multiplication(X_35,domain(antidomain(X_8))))
| forward_diamond(X_35,antidomain(X_8)) = domain(multiplication(X_35,c(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_35,antidomain(X_8)),domain(multiplication(X_35,domain(antidomain(X_8))))) ),[1,0,1],$fot(c(X_8))]]) ).
cnf(refute_0_1884,plain,
( forward_diamond(X_35,antidomain(X_8)) != domain(multiplication(X_35,domain(antidomain(X_8))))
| forward_diamond(X_35,antidomain(X_8)) = domain(multiplication(X_35,c(X_8))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) )],[refute_0_169,refute_0_1883]) ).
cnf(refute_0_1885,plain,
forward_diamond(X_35,antidomain(X_8)) = domain(multiplication(X_35,c(X_8))),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,antidomain(X_8)),domain(multiplication(X_35,domain(antidomain(X_8))))) )],[refute_0_1882,refute_0_1884]) ).
cnf(refute_0_1886,plain,
multiplication(X_35,c(X_8)) = multiplication(X_35,c(X_8)),
introduced(tautology,[refl,[$fot(multiplication(X_35,c(X_8)))]]) ).
cnf(refute_0_1887,plain,
( c(X_8) != antidomain(X_8)
| multiplication(X_35,c(X_8)) != multiplication(X_35,c(X_8))
| multiplication(X_35,c(X_8)) = multiplication(X_35,antidomain(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_35,c(X_8)),multiplication(X_35,c(X_8))) ),[1,1],$fot(antidomain(X_8))]]) ).
cnf(refute_0_1888,plain,
( c(X_8) != antidomain(X_8)
| multiplication(X_35,c(X_8)) = multiplication(X_35,antidomain(X_8)) ),
inference(resolve,[$cnf( $equal(multiplication(X_35,c(X_8)),multiplication(X_35,c(X_8))) )],[refute_0_1886,refute_0_1887]) ).
cnf(refute_0_1889,plain,
multiplication(X_35,c(X_8)) = multiplication(X_35,antidomain(X_8)),
inference(resolve,[$cnf( $equal(c(X_8),antidomain(X_8)) )],[refute_0_1617,refute_0_1888]) ).
cnf(refute_0_1890,plain,
domain(multiplication(X_35,c(X_8))) = domain(multiplication(X_35,c(X_8))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_35,c(X_8))))]]) ).
cnf(refute_0_1891,plain,
( domain(multiplication(X_35,c(X_8))) != domain(multiplication(X_35,c(X_8)))
| multiplication(X_35,c(X_8)) != multiplication(X_35,antidomain(X_8))
| domain(multiplication(X_35,c(X_8))) = domain(multiplication(X_35,antidomain(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_35,c(X_8))),domain(multiplication(X_35,c(X_8)))) ),[1,0],$fot(multiplication(X_35,antidomain(X_8)))]]) ).
cnf(refute_0_1892,plain,
( multiplication(X_35,c(X_8)) != multiplication(X_35,antidomain(X_8))
| domain(multiplication(X_35,c(X_8))) = domain(multiplication(X_35,antidomain(X_8))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,c(X_8))),domain(multiplication(X_35,c(X_8)))) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
domain(multiplication(X_35,c(X_8))) = domain(multiplication(X_35,antidomain(X_8))),
inference(resolve,[$cnf( $equal(multiplication(X_35,c(X_8)),multiplication(X_35,antidomain(X_8))) )],[refute_0_1889,refute_0_1892]) ).
cnf(refute_0_1894,plain,
( domain(multiplication(X_35,c(X_8))) != domain(multiplication(X_35,antidomain(X_8)))
| forward_diamond(X_35,antidomain(X_8)) != domain(multiplication(X_35,c(X_8)))
| forward_diamond(X_35,antidomain(X_8)) = domain(multiplication(X_35,antidomain(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_35,antidomain(X_8)),domain(multiplication(X_35,c(X_8)))) ),[1],$fot(domain(multiplication(X_35,antidomain(X_8))))]]) ).
cnf(refute_0_1895,plain,
( forward_diamond(X_35,antidomain(X_8)) != domain(multiplication(X_35,c(X_8)))
| forward_diamond(X_35,antidomain(X_8)) = domain(multiplication(X_35,antidomain(X_8))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,c(X_8))),domain(multiplication(X_35,antidomain(X_8)))) )],[refute_0_1893,refute_0_1894]) ).
cnf(refute_0_1896,plain,
forward_diamond(X_35,antidomain(X_8)) = domain(multiplication(X_35,antidomain(X_8))),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,antidomain(X_8)),domain(multiplication(X_35,c(X_8)))) )],[refute_0_1885,refute_0_1895]) ).
cnf(refute_0_1897,plain,
( forward_diamond(X_35,antidomain(X_8)) != domain(multiplication(X_35,antidomain(X_8)))
| domain(multiplication(X_35,antidomain(X_8))) = forward_diamond(X_35,antidomain(X_8)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_diamond(X_35,antidomain(X_8)))),bind(Y,$fot(domain(multiplication(X_35,antidomain(X_8)))))]]) ).
cnf(refute_0_1898,plain,
domain(multiplication(X_35,antidomain(X_8))) = forward_diamond(X_35,antidomain(X_8)),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,antidomain(X_8)),domain(multiplication(X_35,antidomain(X_8)))) )],[refute_0_1896,refute_0_1897]) ).
cnf(refute_0_1899,plain,
domain(multiplication(X_369,antidomain(X_370))) = forward_diamond(X_369,antidomain(X_370)),
inference(subst,[],[refute_0_1898:[bind(X_35,$fot(X_369)),bind(X_8,$fot(X_370))]]) ).
cnf(refute_0_1900,plain,
c(X_370) = antidomain(X_370),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_370))]]) ).
cnf(refute_0_1901,plain,
multiplication(X_369,c(X_370)) = multiplication(X_369,c(X_370)),
introduced(tautology,[refl,[$fot(multiplication(X_369,c(X_370)))]]) ).
cnf(refute_0_1902,plain,
( c(X_370) != antidomain(X_370)
| multiplication(X_369,c(X_370)) != multiplication(X_369,c(X_370))
| multiplication(X_369,c(X_370)) = multiplication(X_369,antidomain(X_370)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_369,c(X_370)),multiplication(X_369,c(X_370))) ),[1,1],$fot(antidomain(X_370))]]) ).
cnf(refute_0_1903,plain,
( c(X_370) != antidomain(X_370)
| multiplication(X_369,c(X_370)) = multiplication(X_369,antidomain(X_370)) ),
inference(resolve,[$cnf( $equal(multiplication(X_369,c(X_370)),multiplication(X_369,c(X_370))) )],[refute_0_1901,refute_0_1902]) ).
cnf(refute_0_1904,plain,
multiplication(X_369,c(X_370)) = multiplication(X_369,antidomain(X_370)),
inference(resolve,[$cnf( $equal(c(X_370),antidomain(X_370)) )],[refute_0_1900,refute_0_1903]) ).
cnf(refute_0_1905,plain,
domain(multiplication(X_369,c(X_370))) = domain(multiplication(X_369,c(X_370))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_369,c(X_370))))]]) ).
cnf(refute_0_1906,plain,
( domain(multiplication(X_369,c(X_370))) != domain(multiplication(X_369,c(X_370)))
| multiplication(X_369,c(X_370)) != multiplication(X_369,antidomain(X_370))
| domain(multiplication(X_369,c(X_370))) = domain(multiplication(X_369,antidomain(X_370))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_369,c(X_370))),domain(multiplication(X_369,c(X_370)))) ),[1,0],$fot(multiplication(X_369,antidomain(X_370)))]]) ).
cnf(refute_0_1907,plain,
( multiplication(X_369,c(X_370)) != multiplication(X_369,antidomain(X_370))
| domain(multiplication(X_369,c(X_370))) = domain(multiplication(X_369,antidomain(X_370))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_369,c(X_370))),domain(multiplication(X_369,c(X_370)))) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
domain(multiplication(X_369,c(X_370))) = domain(multiplication(X_369,antidomain(X_370))),
inference(resolve,[$cnf( $equal(multiplication(X_369,c(X_370)),multiplication(X_369,antidomain(X_370))) )],[refute_0_1904,refute_0_1907]) ).
cnf(refute_0_1909,plain,
( domain(multiplication(X_369,antidomain(X_370))) != forward_diamond(X_369,antidomain(X_370))
| domain(multiplication(X_369,c(X_370))) != domain(multiplication(X_369,antidomain(X_370)))
| domain(multiplication(X_369,c(X_370))) = forward_diamond(X_369,antidomain(X_370)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain(multiplication(X_369,c(X_370))))),bind(Y,$fot(domain(multiplication(X_369,antidomain(X_370))))),bind(Z,$fot(forward_diamond(X_369,antidomain(X_370))))]]) ).
cnf(refute_0_1910,plain,
( domain(multiplication(X_369,antidomain(X_370))) != forward_diamond(X_369,antidomain(X_370))
| domain(multiplication(X_369,c(X_370))) = forward_diamond(X_369,antidomain(X_370)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_369,c(X_370))),domain(multiplication(X_369,antidomain(X_370)))) )],[refute_0_1908,refute_0_1909]) ).
cnf(refute_0_1911,plain,
domain(multiplication(X_369,c(X_370))) = forward_diamond(X_369,antidomain(X_370)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_369,antidomain(X_370))),forward_diamond(X_369,antidomain(X_370))) )],[refute_0_1899,refute_0_1910]) ).
cnf(refute_0_1912,plain,
forward_box(one,multiplication(X_369,c(X_370))) = domain(multiplication(X_369,c(X_370))),
inference(subst,[],[refute_0_338:[bind(X_79,$fot(multiplication(X_369,c(X_370))))]]) ).
cnf(refute_0_1913,plain,
( domain(multiplication(X_369,c(X_370))) != forward_diamond(X_369,antidomain(X_370))
| forward_box(one,multiplication(X_369,c(X_370))) != domain(multiplication(X_369,c(X_370)))
| forward_box(one,multiplication(X_369,c(X_370))) = forward_diamond(X_369,antidomain(X_370)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(forward_box(one,multiplication(X_369,c(X_370))))),bind(Y,$fot(domain(multiplication(X_369,c(X_370))))),bind(Z,$fot(forward_diamond(X_369,antidomain(X_370))))]]) ).
cnf(refute_0_1914,plain,
( domain(multiplication(X_369,c(X_370))) != forward_diamond(X_369,antidomain(X_370))
| forward_box(one,multiplication(X_369,c(X_370))) = forward_diamond(X_369,antidomain(X_370)) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),domain(multiplication(X_369,c(X_370)))) )],[refute_0_1912,refute_0_1913]) ).
cnf(refute_0_1915,plain,
forward_box(one,multiplication(X_369,c(X_370))) = forward_diamond(X_369,antidomain(X_370)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_369,c(X_370))),forward_diamond(X_369,antidomain(X_370))) )],[refute_0_1911,refute_0_1914]) ).
cnf(refute_0_1916,plain,
( forward_box(one,multiplication(X_369,c(X_370))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| forward_box(one,multiplication(X_369,c(X_370))) != forward_diamond(X_369,antidomain(X_370))
| forward_diamond(X_369,antidomain(X_370)) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) ),[0],$fot(forward_diamond(X_369,antidomain(X_370)))]]) ).
cnf(refute_0_1917,plain,
( forward_box(one,multiplication(X_369,c(X_370))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| forward_diamond(X_369,antidomain(X_370)) = c(c(domain(forward_diamond(X_369,antidomain(X_370))))) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),forward_diamond(X_369,antidomain(X_370))) )],[refute_0_1915,refute_0_1916]) ).
cnf(refute_0_1918,plain,
forward_diamond(X0,c(X1)) = forward_diamond(X0,c(X1)),
introduced(tautology,[refl,[$fot(forward_diamond(X0,c(X1)))]]) ).
cnf(refute_0_1919,plain,
( c(X1) != antidomain(X1)
| forward_diamond(X0,c(X1)) != forward_diamond(X0,c(X1))
| forward_diamond(X0,c(X1)) = forward_diamond(X0,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,c(X1)),forward_diamond(X0,c(X1))) ),[1,1],$fot(antidomain(X1))]]) ).
cnf(refute_0_1920,plain,
( c(X1) != antidomain(X1)
| forward_diamond(X0,c(X1)) = forward_diamond(X0,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(forward_diamond(X0,c(X1)),forward_diamond(X0,c(X1))) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
forward_diamond(X0,c(X1)) = forward_diamond(X0,antidomain(X1)),
inference(resolve,[$cnf( $equal(c(X1),antidomain(X1)) )],[refute_0_279,refute_0_1920]) ).
cnf(refute_0_1922,plain,
antidomain(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,c(X1))),
introduced(tautology,[refl,[$fot(antidomain(forward_diamond(X0,c(X1))))]]) ).
cnf(refute_0_1923,plain,
( antidomain(forward_diamond(X0,c(X1))) != antidomain(forward_diamond(X0,c(X1)))
| forward_diamond(X0,c(X1)) != forward_diamond(X0,antidomain(X1))
| antidomain(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,c(X1)))) ),[1,0],$fot(forward_diamond(X0,antidomain(X1)))]]) ).
cnf(refute_0_1924,plain,
( forward_diamond(X0,c(X1)) != forward_diamond(X0,antidomain(X1))
| antidomain(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,c(X1)))) )],[refute_0_1922,refute_0_1923]) ).
cnf(refute_0_1925,plain,
antidomain(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(forward_diamond(X0,c(X1)),forward_diamond(X0,antidomain(X1))) )],[refute_0_1921,refute_0_1924]) ).
cnf(refute_0_1926,plain,
c(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,c(X1))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(forward_diamond(X0,c(X1))))]]) ).
cnf(refute_0_1927,plain,
( antidomain(forward_diamond(X0,c(X1))) != antidomain(forward_diamond(X0,antidomain(X1)))
| c(forward_diamond(X0,c(X1))) != antidomain(forward_diamond(X0,c(X1)))
| c(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(forward_diamond(X0,c(X1))))),bind(Y,$fot(antidomain(forward_diamond(X0,c(X1))))),bind(Z,$fot(antidomain(forward_diamond(X0,antidomain(X1)))))]]) ).
cnf(refute_0_1928,plain,
( antidomain(forward_diamond(X0,c(X1))) != antidomain(forward_diamond(X0,antidomain(X1)))
| c(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,c(X1)))) )],[refute_0_1926,refute_0_1927]) ).
cnf(refute_0_1929,plain,
c(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,antidomain(X1)))) )],[refute_0_1925,refute_0_1928]) ).
cnf(refute_0_1930,plain,
( c(forward_diamond(X0,c(X1))) != antidomain(forward_diamond(X0,antidomain(X1)))
| forward_box(X0,X1) != c(forward_diamond(X0,c(X1)))
| forward_box(X0,X1) = antidomain(forward_diamond(X0,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X0,X1),c(forward_diamond(X0,c(X1)))) ),[1],$fot(antidomain(forward_diamond(X0,antidomain(X1))))]]) ).
cnf(refute_0_1931,plain,
( forward_box(X0,X1) != c(forward_diamond(X0,c(X1)))
| forward_box(X0,X1) = antidomain(forward_diamond(X0,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,antidomain(X1)))) )],[refute_0_1929,refute_0_1930]) ).
cnf(refute_0_1932,plain,
forward_box(X0,X1) = antidomain(forward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(forward_box(X0,X1),c(forward_diamond(X0,c(X1)))) )],[refute_0_128,refute_0_1931]) ).
cnf(refute_0_1933,plain,
( forward_box(X0,X1) != antidomain(forward_diamond(X0,antidomain(X1)))
| antidomain(forward_diamond(X0,antidomain(X1))) = forward_box(X0,X1) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(forward_box(X0,X1))),bind(Y,$fot(antidomain(forward_diamond(X0,antidomain(X1)))))]]) ).
cnf(refute_0_1934,plain,
antidomain(forward_diamond(X0,antidomain(X1))) = forward_box(X0,X1),
inference(resolve,[$cnf( $equal(forward_box(X0,X1),antidomain(forward_diamond(X0,antidomain(X1)))) )],[refute_0_1932,refute_0_1933]) ).
cnf(refute_0_1935,plain,
antidomain(forward_diamond(X_369,antidomain(X_370))) = forward_box(X_369,X_370),
inference(subst,[],[refute_0_1934:[bind(X0,$fot(X_369)),bind(X1,$fot(X_370))]]) ).
cnf(refute_0_1936,plain,
antidomain(domain(forward_diamond(X_369,antidomain(X_370)))) = antidomain(forward_diamond(X_369,antidomain(X_370))),
inference(subst,[],[refute_0_276:[bind(X0,$fot(forward_diamond(X_369,antidomain(X_370))))]]) ).
cnf(refute_0_1937,plain,
( antidomain(domain(forward_diamond(X_369,antidomain(X_370)))) != antidomain(forward_diamond(X_369,antidomain(X_370)))
| antidomain(forward_diamond(X_369,antidomain(X_370))) != forward_box(X_369,X_370)
| antidomain(domain(forward_diamond(X_369,antidomain(X_370)))) = forward_box(X_369,X_370) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(antidomain(domain(forward_diamond(X_369,antidomain(X_370)))))),bind(Y,$fot(antidomain(forward_diamond(X_369,antidomain(X_370))))),bind(Z,$fot(forward_box(X_369,X_370)))]]) ).
cnf(refute_0_1938,plain,
( antidomain(forward_diamond(X_369,antidomain(X_370))) != forward_box(X_369,X_370)
| antidomain(domain(forward_diamond(X_369,antidomain(X_370)))) = forward_box(X_369,X_370) ),
inference(resolve,[$cnf( $equal(antidomain(domain(forward_diamond(X_369,antidomain(X_370)))),antidomain(forward_diamond(X_369,antidomain(X_370)))) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
antidomain(domain(forward_diamond(X_369,antidomain(X_370)))) = forward_box(X_369,X_370),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_369,antidomain(X_370))),forward_box(X_369,X_370)) )],[refute_0_1935,refute_0_1938]) ).
cnf(refute_0_1940,plain,
c(domain(forward_diamond(X_369,antidomain(X_370)))) = antidomain(domain(forward_diamond(X_369,antidomain(X_370)))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(domain(forward_diamond(X_369,antidomain(X_370)))))]]) ).
cnf(refute_0_1941,plain,
( antidomain(domain(forward_diamond(X_369,antidomain(X_370)))) != forward_box(X_369,X_370)
| c(domain(forward_diamond(X_369,antidomain(X_370)))) != antidomain(domain(forward_diamond(X_369,antidomain(X_370))))
| c(domain(forward_diamond(X_369,antidomain(X_370)))) = forward_box(X_369,X_370) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(domain(forward_diamond(X_369,antidomain(X_370)))))),bind(Y,$fot(antidomain(domain(forward_diamond(X_369,antidomain(X_370)))))),bind(Z,$fot(forward_box(X_369,X_370)))]]) ).
cnf(refute_0_1942,plain,
( antidomain(domain(forward_diamond(X_369,antidomain(X_370)))) != forward_box(X_369,X_370)
| c(domain(forward_diamond(X_369,antidomain(X_370)))) = forward_box(X_369,X_370) ),
inference(resolve,[$cnf( $equal(c(domain(forward_diamond(X_369,antidomain(X_370)))),antidomain(domain(forward_diamond(X_369,antidomain(X_370))))) )],[refute_0_1940,refute_0_1941]) ).
cnf(refute_0_1943,plain,
c(domain(forward_diamond(X_369,antidomain(X_370)))) = forward_box(X_369,X_370),
inference(resolve,[$cnf( $equal(antidomain(domain(forward_diamond(X_369,antidomain(X_370)))),forward_box(X_369,X_370)) )],[refute_0_1939,refute_0_1942]) ).
cnf(refute_0_1944,plain,
antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))),
introduced(tautology,[refl,[$fot(antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))))]]) ).
cnf(refute_0_1945,plain,
( antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))) != antidomain(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| c(domain(forward_diamond(X_369,antidomain(X_370)))) != forward_box(X_369,X_370)
| antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(forward_box(X_369,X_370)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))),antidomain(c(domain(forward_diamond(X_369,antidomain(X_370)))))) ),[1,0],$fot(forward_box(X_369,X_370))]]) ).
cnf(refute_0_1946,plain,
( c(domain(forward_diamond(X_369,antidomain(X_370)))) != forward_box(X_369,X_370)
| antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(forward_box(X_369,X_370)) ),
inference(resolve,[$cnf( $equal(antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))),antidomain(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1944,refute_0_1945]) ).
cnf(refute_0_1947,plain,
antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(forward_box(X_369,X_370)),
inference(resolve,[$cnf( $equal(c(domain(forward_diamond(X_369,antidomain(X_370)))),forward_box(X_369,X_370)) )],[refute_0_1943,refute_0_1946]) ).
cnf(refute_0_1948,plain,
c(c(domain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(c(domain(forward_diamond(X_369,antidomain(X_370))))))]]) ).
cnf(refute_0_1949,plain,
( antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))) != antidomain(forward_box(X_369,X_370))
| c(c(domain(forward_diamond(X_369,antidomain(X_370))))) != antidomain(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| c(c(domain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(forward_box(X_369,X_370)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(c(c(domain(forward_diamond(X_369,antidomain(X_370))))))),bind(Y,$fot(antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))))),bind(Z,$fot(antidomain(forward_box(X_369,X_370))))]]) ).
cnf(refute_0_1950,plain,
( antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))) != antidomain(forward_box(X_369,X_370))
| c(c(domain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(forward_box(X_369,X_370)) ),
inference(resolve,[$cnf( $equal(c(c(domain(forward_diamond(X_369,antidomain(X_370))))),antidomain(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1948,refute_0_1949]) ).
cnf(refute_0_1951,plain,
c(c(domain(forward_diamond(X_369,antidomain(X_370))))) = antidomain(forward_box(X_369,X_370)),
inference(resolve,[$cnf( $equal(antidomain(c(domain(forward_diamond(X_369,antidomain(X_370))))),antidomain(forward_box(X_369,X_370))) )],[refute_0_1947,refute_0_1950]) ).
cnf(refute_0_1952,plain,
( c(c(domain(forward_diamond(X_369,antidomain(X_370))))) != antidomain(forward_box(X_369,X_370))
| forward_diamond(X_369,antidomain(X_370)) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| forward_diamond(X_369,antidomain(X_370)) = antidomain(forward_box(X_369,X_370)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_369,antidomain(X_370)),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) ),[1],$fot(antidomain(forward_box(X_369,X_370)))]]) ).
cnf(refute_0_1953,plain,
( forward_diamond(X_369,antidomain(X_370)) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| forward_diamond(X_369,antidomain(X_370)) = antidomain(forward_box(X_369,X_370)) ),
inference(resolve,[$cnf( $equal(c(c(domain(forward_diamond(X_369,antidomain(X_370))))),antidomain(forward_box(X_369,X_370))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
( forward_box(one,multiplication(X_369,c(X_370))) != c(c(domain(forward_diamond(X_369,antidomain(X_370)))))
| forward_diamond(X_369,antidomain(X_370)) = antidomain(forward_box(X_369,X_370)) ),
inference(resolve,[$cnf( $equal(forward_diamond(X_369,antidomain(X_370)),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1917,refute_0_1953]) ).
cnf(refute_0_1955,plain,
forward_diamond(X_369,antidomain(X_370)) = antidomain(forward_box(X_369,X_370)),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_369,c(X_370))),c(c(domain(forward_diamond(X_369,antidomain(X_370)))))) )],[refute_0_1818,refute_0_1954]) ).
cnf(refute_0_1956,plain,
forward_diamond(X_35,antidomain(X_8)) = antidomain(forward_box(X_35,X_8)),
inference(subst,[],[refute_0_1955:[bind(X_369,$fot(X_35)),bind(X_370,$fot(X_8))]]) ).
cnf(refute_0_1957,plain,
( forward_diamond(X_35,antidomain(X_8)) != antidomain(forward_box(X_35,X_8))
| forward_diamond(X_35,antidomain(X_8)) != domain(multiplication(X_35,antidomain(X_8)))
| antidomain(forward_box(X_35,X_8)) = domain(multiplication(X_35,antidomain(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_35,antidomain(X_8)),domain(multiplication(X_35,antidomain(X_8)))) ),[0],$fot(antidomain(forward_box(X_35,X_8)))]]) ).
cnf(refute_0_1958,plain,
( forward_diamond(X_35,antidomain(X_8)) != domain(multiplication(X_35,antidomain(X_8)))
| antidomain(forward_box(X_35,X_8)) = domain(multiplication(X_35,antidomain(X_8))) ),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,antidomain(X_8)),antidomain(forward_box(X_35,X_8))) )],[refute_0_1956,refute_0_1957]) ).
cnf(refute_0_1959,plain,
antidomain(forward_box(X_35,X_8)) = domain(multiplication(X_35,antidomain(X_8))),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,antidomain(X_8)),domain(multiplication(X_35,antidomain(X_8)))) )],[refute_0_1896,refute_0_1958]) ).
cnf(refute_0_1960,plain,
( antidomain(forward_box(X_35,X_8)) != domain(multiplication(X_35,antidomain(X_8)))
| domain(multiplication(X_35,antidomain(X_8))) = antidomain(forward_box(X_35,X_8)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(antidomain(forward_box(X_35,X_8)))),bind(Y,$fot(domain(multiplication(X_35,antidomain(X_8)))))]]) ).
cnf(refute_0_1961,plain,
domain(multiplication(X_35,antidomain(X_8))) = antidomain(forward_box(X_35,X_8)),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_35,X_8)),domain(multiplication(X_35,antidomain(X_8)))) )],[refute_0_1959,refute_0_1960]) ).
cnf(refute_0_1962,plain,
domain(multiplication(X_35,antidomain(c(X0)))) = antidomain(forward_box(X_35,c(X0))),
inference(subst,[],[refute_0_1961:[bind(X_8,$fot(c(X0)))]]) ).
cnf(refute_0_1963,plain,
( antidomain(forward_box(X_35,c(X0))) != forward_diamond(X_35,X0)
| domain(multiplication(X_35,antidomain(c(X0)))) != antidomain(forward_box(X_35,c(X0)))
| domain(multiplication(X_35,antidomain(c(X0)))) = forward_diamond(X_35,X0) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain(multiplication(X_35,antidomain(c(X0)))))),bind(Y,$fot(antidomain(forward_box(X_35,c(X0))))),bind(Z,$fot(forward_diamond(X_35,X0)))]]) ).
cnf(refute_0_1964,plain,
( antidomain(forward_box(X_35,c(X0))) != forward_diamond(X_35,X0)
| domain(multiplication(X_35,antidomain(c(X0)))) = forward_diamond(X_35,X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,antidomain(c(X0)))),antidomain(forward_box(X_35,c(X0)))) )],[refute_0_1962,refute_0_1963]) ).
cnf(refute_0_1965,plain,
domain(multiplication(X_35,antidomain(c(X0)))) = forward_diamond(X_35,X0),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_35,c(X0))),forward_diamond(X_35,X0)) )],[refute_0_1881,refute_0_1964]) ).
cnf(refute_0_1966,plain,
( domain(multiplication(X_35,antidomain(c(X0)))) != forward_diamond(X_35,X0)
| forward_diamond(X_35,domain(X0)) != domain(multiplication(X_35,antidomain(c(X0))))
| forward_diamond(X_35,domain(X0)) = forward_diamond(X_35,X0) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_35,domain(X0)),domain(multiplication(X_35,antidomain(c(X0))))) ),[1],$fot(forward_diamond(X_35,X0))]]) ).
cnf(refute_0_1967,plain,
( forward_diamond(X_35,domain(X0)) != domain(multiplication(X_35,antidomain(c(X0))))
| forward_diamond(X_35,domain(X0)) = forward_diamond(X_35,X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_35,antidomain(c(X0)))),forward_diamond(X_35,X0)) )],[refute_0_1965,refute_0_1966]) ).
cnf(refute_0_1968,plain,
forward_diamond(X_35,domain(X0)) = forward_diamond(X_35,X0),
inference(resolve,[$cnf( $equal(forward_diamond(X_35,domain(X0)),domain(multiplication(X_35,antidomain(c(X0))))) )],[refute_0_1403,refute_0_1967]) ).
cnf(refute_0_1969,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)) = forward_diamond(skolemFOFtoCNF_X0,X_2584),
inference(subst,[],[refute_0_1968:[bind(X0,$fot(X_2584)),bind(X_35,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1970,plain,
domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),
introduced(tautology,[refl,[$fot(domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))]]) ).
cnf(refute_0_1971,plain,
( domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) != domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))
| forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)) != forward_diamond(skolemFOFtoCNF_X0,X_2584)
| domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) ),[1,1],$fot(forward_diamond(skolemFOFtoCNF_X0,X_2584))]]) ).
cnf(refute_0_1972,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)) != forward_diamond(skolemFOFtoCNF_X0,X_2584)
| domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) )],[refute_0_1970,refute_0_1971]) ).
cnf(refute_0_1973,plain,
domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)),forward_diamond(skolemFOFtoCNF_X0,X_2584)) )],[refute_0_1969,refute_0_1972]) ).
cnf(refute_0_1974,plain,
domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),
introduced(tautology,[refl,[$fot(domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))]]) ).
cnf(refute_0_1975,plain,
( domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) != domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))
| forward_diamond(codomain(domain(X_2584)),X_2584) != domain(X_2584)
| domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) ),[1,0],$fot(domain(X_2584))]]) ).
cnf(refute_0_1976,plain,
( forward_diamond(codomain(domain(X_2584)),X_2584) != domain(X_2584)
| domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) ),
inference(resolve,[$cnf( $equal(domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) )],[refute_0_1974,refute_0_1975]) ).
cnf(refute_0_1977,plain,
domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),
inference(resolve,[$cnf( $equal(forward_diamond(codomain(domain(X_2584)),X_2584),domain(X_2584)) )],[refute_0_1674,refute_0_1976]) ).
cnf(refute_0_1978,plain,
( domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) != domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584))
| domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) != domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))
| domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),bind(Y,$fot(domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),bind(Z,$fot(domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584))))]]) ).
cnf(refute_0_1979,plain,
( domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) != domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584))
| domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)) ),
inference(resolve,[$cnf( $equal(domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584))) )],[refute_0_1973,refute_0_1979]) ).
cnf(refute_0_1981,plain,
( domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)) != domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))
| domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) != domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584))
| domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),bind(Y,$fot(domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)))),bind(Z,$fot(domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))))]]) ).
cnf(refute_0_1982,plain,
( domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)) != domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))
| domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)) ),
inference(resolve,[$cnf( $equal(domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584))) )],[refute_0_1980,refute_0_1981]) ).
cnf(refute_0_1983,plain,
domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) = domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_2584),forward_diamond(skolemFOFtoCNF_X0,X_2584)),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))) )],[refute_0_1720,refute_0_1982]) ).
cnf(refute_0_1984,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))]]) ).
cnf(refute_0_1985,plain,
( domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) != domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) ),[1,1],$fot(domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))]]) ).
cnf(refute_0_1986,plain,
( domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))) != domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) )],[refute_0_1984,refute_0_1985]) ).
cnf(refute_0_1987,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))),
inference(resolve,[$cnf( $equal(domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))) )],[refute_0_1983,refute_0_1986]) ).
cnf(refute_0_1988,plain,
backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),
introduced(tautology,[refl,[$fot(backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))))]]) ).
cnf(refute_0_1989,plain,
( backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) != backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))
| backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))) ),[1,1],$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))))]]) ).
cnf(refute_0_1990,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))
| backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))) ),
inference(resolve,[$cnf( $equal(backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))) )],[refute_0_1988,refute_0_1989]) ).
cnf(refute_0_1991,plain,
backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))) )],[refute_0_1987,refute_0_1990]) ).
cnf(refute_0_1992,plain,
backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),
introduced(tautology,[refl,[$fot(backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))))]]) ).
cnf(refute_0_1993,plain,
( backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) != backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))
| forward_diamond(codomain(domain(X_2584)),X_2584) != domain(X_2584)
| backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))) ),[1,0],$fot(domain(X_2584))]]) ).
cnf(refute_0_1994,plain,
( forward_diamond(codomain(domain(X_2584)),X_2584) != domain(X_2584)
| backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) ),
inference(resolve,[$cnf( $equal(backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))) )],[refute_0_1992,refute_0_1993]) ).
cnf(refute_0_1995,plain,
backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),
inference(resolve,[$cnf( $equal(forward_diamond(codomain(domain(X_2584)),X_2584),domain(X_2584)) )],[refute_0_1674,refute_0_1994]) ).
cnf(refute_0_1996,plain,
( backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) != backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))))
| backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) != backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))
| backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))))),bind(Y,$fot(backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))))),bind(Z,$fot(backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))))))]]) ).
cnf(refute_0_1997,plain,
( backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) != backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))))
| backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))) ),
inference(resolve,[$cnf( $equal(backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))) )],[refute_0_1995,refute_0_1996]) ).
cnf(refute_0_1998,plain,
backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))),
inference(resolve,[$cnf( $equal(backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))))) )],[refute_0_1991,refute_0_1997]) ).
cnf(refute_0_1999,plain,
( backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))) != backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))))
| one != backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))
| one = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))) ),[1],$fot(backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))))]]) ).
cnf(refute_0_2000,plain,
( one != backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))
| one = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))) ),
inference(resolve,[$cnf( $equal(backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584))))),backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584))))) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
one = backward_box(domain(X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(X_2584,forward_diamond(skolemFOFtoCNF_X0,X_2584)))),
inference(resolve,[$cnf( $equal(one,backward_box(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(forward_diamond(codomain(domain(X_2584)),X_2584),forward_diamond(skolemFOFtoCNF_X0,domain(X_2584)))))) )],[refute_0_1677,refute_0_2000]) ).
cnf(refute_0_2002,plain,
one = backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,divergence(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2001:[bind(X_2584,$fot(divergence(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2003,plain,
forward_diamond(X0,divergence(X0)) = divergence(X0),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_2004,plain,
forward_diamond(skolemFOFtoCNF_X0,divergence(skolemFOFtoCNF_X0)) = divergence(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_2003:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2005,plain,
( forward_diamond(skolemFOFtoCNF_X0,divergence(skolemFOFtoCNF_X0)) != divergence(skolemFOFtoCNF_X0)
| one != backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,divergence(skolemFOFtoCNF_X0)))))
| one = backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,divergence(skolemFOFtoCNF_X0)))))) ),[1,1,1,1],$fot(divergence(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2006,plain,
( one != backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,divergence(skolemFOFtoCNF_X0)))))
| one = backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,divergence(skolemFOFtoCNF_X0)),divergence(skolemFOFtoCNF_X0)) )],[refute_0_2004,refute_0_2005]) ).
cnf(refute_0_2007,plain,
one = backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,divergence(skolemFOFtoCNF_X0)))))) )],[refute_0_2002,refute_0_2006]) ).
cnf(refute_0_2008,plain,
backward_box(X_94,zero) = c(backward_diamond(X_94,c(zero))),
inference(subst,[],[refute_0_857:[bind(X0,$fot(X_94)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_2009,plain,
( backward_box(X_94,zero) != c(backward_diamond(X_94,c(zero)))
| c(zero) != one
| backward_box(X_94,zero) = c(backward_diamond(X_94,one)) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(X_94,zero),c(backward_diamond(X_94,c(zero)))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_2010,plain,
( backward_box(X_94,zero) != c(backward_diamond(X_94,c(zero)))
| backward_box(X_94,zero) = c(backward_diamond(X_94,one)) ),
inference(resolve,[$cnf( $equal(c(zero),one) )],[refute_0_1092,refute_0_2009]) ).
cnf(refute_0_2011,plain,
backward_box(X_94,zero) = c(backward_diamond(X_94,one)),
inference(resolve,[$cnf( $equal(backward_box(X_94,zero),c(backward_diamond(X_94,c(zero)))) )],[refute_0_2008,refute_0_2010]) ).
cnf(refute_0_2012,plain,
backward_diamond(X_42,one) = codomain(multiplication(codomain(one),X_42)),
inference(subst,[],[refute_0_662:[bind(X0,$fot(X_42)),bind(X1,$fot(one))]]) ).
cnf(refute_0_2013,plain,
( backward_diamond(X_42,one) != codomain(multiplication(codomain(one),X_42))
| codomain(one) != coantidomain(zero)
| backward_diamond(X_42,one) = codomain(multiplication(coantidomain(zero),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(backward_diamond(X_42,one),codomain(multiplication(codomain(one),X_42))) ),[1,0,0],$fot(coantidomain(zero))]]) ).
cnf(refute_0_2014,plain,
( backward_diamond(X_42,one) != codomain(multiplication(codomain(one),X_42))
| backward_diamond(X_42,one) = codomain(multiplication(coantidomain(zero),X_42)) ),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_968,refute_0_2013]) ).
cnf(refute_0_2015,plain,
backward_diamond(X_42,one) = codomain(multiplication(coantidomain(zero),X_42)),
inference(resolve,[$cnf( $equal(backward_diamond(X_42,one),codomain(multiplication(codomain(one),X_42))) )],[refute_0_2012,refute_0_2014]) ).
cnf(refute_0_2016,plain,
multiplication(one,X_42) = X_42,
inference(subst,[],[refute_0_20:[bind(A,$fot(X_42))]]) ).
cnf(refute_0_2017,plain,
multiplication(coantidomain(zero),X_42) = multiplication(coantidomain(zero),X_42),
introduced(tautology,[refl,[$fot(multiplication(coantidomain(zero),X_42))]]) ).
cnf(refute_0_2018,plain,
( coantidomain(zero) != one
| multiplication(coantidomain(zero),X_42) != multiplication(coantidomain(zero),X_42)
| multiplication(coantidomain(zero),X_42) = multiplication(one,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(zero),X_42),multiplication(coantidomain(zero),X_42)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2019,plain,
( coantidomain(zero) != one
| multiplication(coantidomain(zero),X_42) = multiplication(one,X_42) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(zero),X_42),multiplication(coantidomain(zero),X_42)) )],[refute_0_2017,refute_0_2018]) ).
cnf(refute_0_2020,plain,
multiplication(coantidomain(zero),X_42) = multiplication(one,X_42),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_987,refute_0_2019]) ).
cnf(refute_0_2021,plain,
( multiplication(coantidomain(zero),X_42) != multiplication(one,X_42)
| multiplication(one,X_42) != X_42
| multiplication(coantidomain(zero),X_42) = X_42 ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(coantidomain(zero),X_42))),bind(Y,$fot(multiplication(one,X_42))),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_2022,plain,
( multiplication(one,X_42) != X_42
| multiplication(coantidomain(zero),X_42) = X_42 ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(zero),X_42),multiplication(one,X_42)) )],[refute_0_2020,refute_0_2021]) ).
cnf(refute_0_2023,plain,
multiplication(coantidomain(zero),X_42) = X_42,
inference(resolve,[$cnf( $equal(multiplication(one,X_42),X_42) )],[refute_0_2016,refute_0_2022]) ).
cnf(refute_0_2024,plain,
codomain(multiplication(coantidomain(zero),X_42)) = codomain(multiplication(coantidomain(zero),X_42)),
introduced(tautology,[refl,[$fot(codomain(multiplication(coantidomain(zero),X_42)))]]) ).
cnf(refute_0_2025,plain,
( codomain(multiplication(coantidomain(zero),X_42)) != codomain(multiplication(coantidomain(zero),X_42))
| multiplication(coantidomain(zero),X_42) != X_42
| codomain(multiplication(coantidomain(zero),X_42)) = codomain(X_42) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(multiplication(coantidomain(zero),X_42)),codomain(multiplication(coantidomain(zero),X_42))) ),[1,0],$fot(X_42)]]) ).
cnf(refute_0_2026,plain,
( multiplication(coantidomain(zero),X_42) != X_42
| codomain(multiplication(coantidomain(zero),X_42)) = codomain(X_42) ),
inference(resolve,[$cnf( $equal(codomain(multiplication(coantidomain(zero),X_42)),codomain(multiplication(coantidomain(zero),X_42))) )],[refute_0_2024,refute_0_2025]) ).
cnf(refute_0_2027,plain,
codomain(multiplication(coantidomain(zero),X_42)) = codomain(X_42),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(zero),X_42),X_42) )],[refute_0_2023,refute_0_2026]) ).
cnf(refute_0_2028,plain,
( backward_diamond(X_42,one) != codomain(multiplication(coantidomain(zero),X_42))
| codomain(multiplication(coantidomain(zero),X_42)) != codomain(X_42)
| backward_diamond(X_42,one) = codomain(X_42) ),
introduced(tautology,[equality,[$cnf( ~ $equal(backward_diamond(X_42,one),codomain(X_42)) ),[0],$fot(codomain(multiplication(coantidomain(zero),X_42)))]]) ).
cnf(refute_0_2029,plain,
( backward_diamond(X_42,one) != codomain(multiplication(coantidomain(zero),X_42))
| backward_diamond(X_42,one) = codomain(X_42) ),
inference(resolve,[$cnf( $equal(codomain(multiplication(coantidomain(zero),X_42)),codomain(X_42)) )],[refute_0_2027,refute_0_2028]) ).
cnf(refute_0_2030,plain,
backward_diamond(X_42,one) = codomain(X_42),
inference(resolve,[$cnf( $equal(backward_diamond(X_42,one),codomain(multiplication(coantidomain(zero),X_42))) )],[refute_0_2015,refute_0_2029]) ).
cnf(refute_0_2031,plain,
backward_diamond(X_94,one) = codomain(X_94),
inference(subst,[],[refute_0_2030:[bind(X_42,$fot(X_94))]]) ).
cnf(refute_0_2032,plain,
c(backward_diamond(X_94,one)) = c(backward_diamond(X_94,one)),
introduced(tautology,[refl,[$fot(c(backward_diamond(X_94,one)))]]) ).
cnf(refute_0_2033,plain,
( backward_diamond(X_94,one) != codomain(X_94)
| c(backward_diamond(X_94,one)) != c(backward_diamond(X_94,one))
| c(backward_diamond(X_94,one)) = c(codomain(X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(c(backward_diamond(X_94,one)),c(backward_diamond(X_94,one))) ),[1,0],$fot(codomain(X_94))]]) ).
cnf(refute_0_2034,plain,
( backward_diamond(X_94,one) != codomain(X_94)
| c(backward_diamond(X_94,one)) = c(codomain(X_94)) ),
inference(resolve,[$cnf( $equal(c(backward_diamond(X_94,one)),c(backward_diamond(X_94,one))) )],[refute_0_2032,refute_0_2033]) ).
cnf(refute_0_2035,plain,
c(backward_diamond(X_94,one)) = c(codomain(X_94)),
inference(resolve,[$cnf( $equal(backward_diamond(X_94,one),codomain(X_94)) )],[refute_0_2031,refute_0_2034]) ).
cnf(refute_0_2036,plain,
( backward_box(X_94,zero) != c(backward_diamond(X_94,one))
| c(backward_diamond(X_94,one)) != c(codomain(X_94))
| backward_box(X_94,zero) = c(codomain(X_94)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(backward_box(X_94,zero),c(codomain(X_94))) ),[0],$fot(c(backward_diamond(X_94,one)))]]) ).
cnf(refute_0_2037,plain,
( backward_box(X_94,zero) != c(backward_diamond(X_94,one))
| backward_box(X_94,zero) = c(codomain(X_94)) ),
inference(resolve,[$cnf( $equal(c(backward_diamond(X_94,one)),c(codomain(X_94))) )],[refute_0_2035,refute_0_2036]) ).
cnf(refute_0_2038,plain,
backward_box(X_94,zero) = c(codomain(X_94)),
inference(resolve,[$cnf( $equal(backward_box(X_94,zero),c(backward_diamond(X_94,one))) )],[refute_0_2011,refute_0_2037]) ).
cnf(refute_0_2039,plain,
c(codomain(X_94)) = antidomain(codomain(X_94)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(codomain(X_94)))]]) ).
cnf(refute_0_2040,plain,
( backward_box(X_94,zero) != c(codomain(X_94))
| c(codomain(X_94)) != antidomain(codomain(X_94))
| backward_box(X_94,zero) = antidomain(codomain(X_94)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(backward_box(X_94,zero),antidomain(codomain(X_94))) ),[0],$fot(c(codomain(X_94)))]]) ).
cnf(refute_0_2041,plain,
( backward_box(X_94,zero) != c(codomain(X_94))
| backward_box(X_94,zero) = antidomain(codomain(X_94)) ),
inference(resolve,[$cnf( $equal(c(codomain(X_94)),antidomain(codomain(X_94))) )],[refute_0_2039,refute_0_2040]) ).
cnf(refute_0_2042,plain,
backward_box(X_94,zero) = antidomain(codomain(X_94)),
inference(resolve,[$cnf( $equal(backward_box(X_94,zero),c(codomain(X_94))) )],[refute_0_2038,refute_0_2041]) ).
cnf(refute_0_2043,plain,
backward_box(divergence(skolemFOFtoCNF_X0),zero) = antidomain(codomain(divergence(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2042:[bind(X_94,$fot(divergence(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2044,plain,
forward_diamond(X0,zero) = domain(multiplication(X0,domain(zero))),
inference(subst,[],[refute_0_130:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_2045,plain,
( c(one) != zero
| domain(zero) != c(one)
| domain(zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(domain(zero),c(one)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2046,plain,
( domain(zero) != c(one)
| domain(zero) = zero ),
inference(resolve,[$cnf( $equal(c(one),zero) )],[refute_0_1102,refute_0_2045]) ).
cnf(refute_0_2047,plain,
domain(zero) = zero,
inference(resolve,[$cnf( $equal(domain(zero),c(one)) )],[refute_0_1012,refute_0_2046]) ).
cnf(refute_0_2048,plain,
( domain(zero) != zero
| forward_diamond(X0,zero) != domain(multiplication(X0,domain(zero)))
| forward_diamond(X0,zero) = domain(multiplication(X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,domain(zero)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_2049,plain,
( forward_diamond(X0,zero) != domain(multiplication(X0,domain(zero)))
| forward_diamond(X0,zero) = domain(multiplication(X0,zero)) ),
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_2047,refute_0_2048]) ).
cnf(refute_0_2050,plain,
forward_diamond(X0,zero) = domain(multiplication(X0,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,domain(zero)))) )],[refute_0_2044,refute_0_2049]) ).
cnf(refute_0_2051,plain,
multiplication(A,zero) = zero,
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_2052,plain,
multiplication(X0,zero) = zero,
inference(subst,[],[refute_0_2051:[bind(A,$fot(X0))]]) ).
cnf(refute_0_2053,plain,
domain(multiplication(X0,zero)) = domain(multiplication(X0,zero)),
introduced(tautology,[refl,[$fot(domain(multiplication(X0,zero)))]]) ).
cnf(refute_0_2054,plain,
( domain(multiplication(X0,zero)) != domain(multiplication(X0,zero))
| multiplication(X0,zero) != zero
| domain(multiplication(X0,zero)) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,zero)),domain(multiplication(X0,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2055,plain,
( multiplication(X0,zero) != zero
| domain(multiplication(X0,zero)) = domain(zero) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),domain(multiplication(X0,zero))) )],[refute_0_2053,refute_0_2054]) ).
cnf(refute_0_2056,plain,
domain(multiplication(X0,zero)) = domain(zero),
inference(resolve,[$cnf( $equal(multiplication(X0,zero),zero) )],[refute_0_2052,refute_0_2055]) ).
cnf(refute_0_2057,plain,
( domain(multiplication(X0,zero)) != domain(zero)
| domain(zero) != zero
| domain(multiplication(X0,zero)) = zero ),
inference(subst,[],[refute_0_111:[bind(X,$fot(domain(multiplication(X0,zero)))),bind(Y,$fot(domain(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2058,plain,
( domain(zero) != zero
| domain(multiplication(X0,zero)) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),domain(zero)) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
domain(multiplication(X0,zero)) = zero,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_2047,refute_0_2058]) ).
cnf(refute_0_2060,plain,
( domain(multiplication(X0,zero)) != zero
| forward_diamond(X0,zero) != domain(multiplication(X0,zero))
| forward_diamond(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_2061,plain,
( forward_diamond(X0,zero) != domain(multiplication(X0,zero))
| forward_diamond(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),zero) )],[refute_0_2059,refute_0_2060]) ).
cnf(refute_0_2062,plain,
forward_diamond(X0,zero) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,zero))) )],[refute_0_2050,refute_0_2061]) ).
cnf(refute_0_2063,plain,
forward_diamond(star(skolemFOFtoCNF_X0),zero) = zero,
inference(subst,[],[refute_0_2062:[bind(X0,$fot(star(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2064,plain,
multiplication(antidomain(antidomain(X_8)),antidomain(X_8)) = zero,
inference(subst,[],[refute_0_27:[bind(X0,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_2065,plain,
( antidomain(antidomain(X_8)) != domain(X_8)
| multiplication(antidomain(antidomain(X_8)),antidomain(X_8)) != zero
| multiplication(domain(X_8),antidomain(X_8)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(X_8)),antidomain(X_8)),zero) ),[0,0],$fot(domain(X_8))]]) ).
cnf(refute_0_2066,plain,
( multiplication(antidomain(antidomain(X_8)),antidomain(X_8)) != zero
| multiplication(domain(X_8),antidomain(X_8)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_8)),domain(X_8)) )],[refute_0_159,refute_0_2065]) ).
cnf(refute_0_2067,plain,
multiplication(domain(X_8),antidomain(X_8)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X_8)),antidomain(X_8)),zero) )],[refute_0_2064,refute_0_2066]) ).
cnf(refute_0_2068,plain,
multiplication(domain(X_8),antidomain(X_8)) = domain_difference(X_8,X_8),
inference(subst,[],[refute_0_1352:[bind(X0,$fot(X_8)),bind(X1,$fot(X_8))]]) ).
cnf(refute_0_2069,plain,
( multiplication(domain(X_8),antidomain(X_8)) != domain_difference(X_8,X_8)
| multiplication(domain(X_8),antidomain(X_8)) != zero
| domain_difference(X_8,X_8) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_8),antidomain(X_8)),zero) ),[0],$fot(domain_difference(X_8,X_8))]]) ).
cnf(refute_0_2070,plain,
( multiplication(domain(X_8),antidomain(X_8)) != zero
| domain_difference(X_8,X_8) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_8),antidomain(X_8)),domain_difference(X_8,X_8)) )],[refute_0_2068,refute_0_2069]) ).
cnf(refute_0_2071,plain,
domain_difference(X_8,X_8) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(X_8),antidomain(X_8)),zero) )],[refute_0_2067,refute_0_2070]) ).
cnf(refute_0_2072,plain,
domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)) = zero,
inference(subst,[],[refute_0_2071:[bind(X_8,$fot(divergence(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2073,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2074,plain,
( domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) = forward_diamond(star(skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2075,plain,
( domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) = forward_diamond(star(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) )],[refute_0_2073,refute_0_2074]) ).
cnf(refute_0_2076,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) = forward_diamond(star(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)),zero) )],[refute_0_2072,refute_0_2075]) ).
cnf(refute_0_2077,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) != forward_diamond(star(skolemFOFtoCNF_X0),zero)
| forward_diamond(star(skolemFOFtoCNF_X0),zero) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) = zero ),
inference(subst,[],[refute_0_111:[bind(X,$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))),bind(Y,$fot(forward_diamond(star(skolemFOFtoCNF_X0),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2078,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),zero) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))),forward_diamond(star(skolemFOFtoCNF_X0),zero)) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),zero),zero) )],[refute_0_2063,refute_0_2078]) ).
cnf(refute_0_2080,plain,
backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2081,plain,
( backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) != backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) != zero
| backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2082,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))) != zero
| backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))) )],[refute_0_2080,refute_0_2081]) ).
cnf(refute_0_2083,plain,
backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))),zero) )],[refute_0_2079,refute_0_2082]) ).
cnf(refute_0_2084,plain,
multiplication(antidomain(antidomain(divergence(X_129))),addition(divergence(X_129),antidomain(divergence(X_129)))) = multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)),
inference(subst,[],[refute_0_35:[bind(X_239,$fot(divergence(X_129))),bind(X_240,$fot(antidomain(divergence(X_129))))]]) ).
cnf(refute_0_2085,plain,
addition(forward_diamond(X_129,divergence(X_129)),antidomain(forward_diamond(X_129,divergence(X_129)))) = one,
inference(subst,[],[refute_0_1251:[bind(X_35,$fot(X_129)),bind(X_36,$fot(divergence(X_129)))]]) ).
cnf(refute_0_2086,plain,
forward_diamond(X_129,divergence(X_129)) = divergence(X_129),
inference(subst,[],[refute_0_2003:[bind(X0,$fot(X_129))]]) ).
cnf(refute_0_2087,plain,
( addition(forward_diamond(X_129,divergence(X_129)),antidomain(forward_diamond(X_129,divergence(X_129)))) != one
| forward_diamond(X_129,divergence(X_129)) != divergence(X_129)
| addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_129,divergence(X_129)),antidomain(forward_diamond(X_129,divergence(X_129)))),one) ),[0,1,0],$fot(divergence(X_129))]]) ).
cnf(refute_0_2088,plain,
( addition(forward_diamond(X_129,divergence(X_129)),antidomain(forward_diamond(X_129,divergence(X_129)))) != one
| addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) = one ),
inference(resolve,[$cnf( $equal(forward_diamond(X_129,divergence(X_129)),divergence(X_129)) )],[refute_0_2086,refute_0_2087]) ).
cnf(refute_0_2089,plain,
addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_129,divergence(X_129)),antidomain(forward_diamond(X_129,divergence(X_129)))),one) )],[refute_0_2085,refute_0_2088]) ).
cnf(refute_0_2090,plain,
addition(antidomain(divergence(X_129)),divergence(X_129)) = addition(divergence(X_129),antidomain(divergence(X_129))),
inference(subst,[],[refute_0_42:[bind(A,$fot(divergence(X_129))),bind(B,$fot(antidomain(divergence(X_129))))]]) ).
cnf(refute_0_2091,plain,
addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) = addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))),
introduced(tautology,[refl,[$fot(addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))))]]) ).
cnf(refute_0_2092,plain,
( addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) != addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129)))
| forward_diamond(X_129,divergence(X_129)) != divergence(X_129)
| addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) = addition(antidomain(divergence(X_129)),divergence(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))),addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129)))) ),[1,1],$fot(divergence(X_129))]]) ).
cnf(refute_0_2093,plain,
( forward_diamond(X_129,divergence(X_129)) != divergence(X_129)
| addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) = addition(antidomain(divergence(X_129)),divergence(X_129)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))),addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129)))) )],[refute_0_2091,refute_0_2092]) ).
cnf(refute_0_2094,plain,
addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) = addition(antidomain(divergence(X_129)),divergence(X_129)),
inference(resolve,[$cnf( $equal(forward_diamond(X_129,divergence(X_129)),divergence(X_129)) )],[refute_0_2086,refute_0_2093]) ).
cnf(refute_0_2095,plain,
( addition(antidomain(divergence(X_129)),divergence(X_129)) != addition(divergence(X_129),antidomain(divergence(X_129)))
| addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) != addition(antidomain(divergence(X_129)),divergence(X_129))
| addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) = addition(divergence(X_129),antidomain(divergence(X_129))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))))),bind(Y,$fot(addition(antidomain(divergence(X_129)),divergence(X_129)))),bind(Z,$fot(addition(divergence(X_129),antidomain(divergence(X_129)))))]]) ).
cnf(refute_0_2096,plain,
( addition(antidomain(divergence(X_129)),divergence(X_129)) != addition(divergence(X_129),antidomain(divergence(X_129)))
| addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) = addition(divergence(X_129),antidomain(divergence(X_129))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))),addition(antidomain(divergence(X_129)),divergence(X_129))) )],[refute_0_2094,refute_0_2095]) ).
cnf(refute_0_2097,plain,
addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) = addition(divergence(X_129),antidomain(divergence(X_129))),
inference(resolve,[$cnf( $equal(addition(antidomain(divergence(X_129)),divergence(X_129)),addition(divergence(X_129),antidomain(divergence(X_129)))) )],[refute_0_2090,refute_0_2096]) ).
cnf(refute_0_2098,plain,
addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) = addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))),
inference(subst,[],[refute_0_42:[bind(A,$fot(antidomain(divergence(X_129)))),bind(B,$fot(forward_diamond(X_129,divergence(X_129))))]]) ).
cnf(refute_0_2099,plain,
( addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) != addition(divergence(X_129),antidomain(divergence(X_129)))
| addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) != addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129)))
| addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) = addition(divergence(X_129),antidomain(divergence(X_129))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))))),bind(Y,$fot(addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))))),bind(Z,$fot(addition(divergence(X_129),antidomain(divergence(X_129)))))]]) ).
cnf(refute_0_2100,plain,
( addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))) != addition(divergence(X_129),antidomain(divergence(X_129)))
| addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) = addition(divergence(X_129),antidomain(divergence(X_129))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))),addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129)))) )],[refute_0_2098,refute_0_2099]) ).
cnf(refute_0_2101,plain,
addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) = addition(divergence(X_129),antidomain(divergence(X_129))),
inference(resolve,[$cnf( $equal(addition(antidomain(divergence(X_129)),forward_diamond(X_129,divergence(X_129))),addition(divergence(X_129),antidomain(divergence(X_129)))) )],[refute_0_2097,refute_0_2100]) ).
cnf(refute_0_2102,plain,
( addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) != addition(divergence(X_129),antidomain(divergence(X_129)))
| addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) != one
| addition(divergence(X_129),antidomain(divergence(X_129))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))),one) ),[0],$fot(addition(divergence(X_129),antidomain(divergence(X_129))))]]) ).
cnf(refute_0_2103,plain,
( addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))) != one
| addition(divergence(X_129),antidomain(divergence(X_129))) = one ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))),addition(divergence(X_129),antidomain(divergence(X_129)))) )],[refute_0_2101,refute_0_2102]) ).
cnf(refute_0_2104,plain,
addition(divergence(X_129),antidomain(divergence(X_129))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_129,divergence(X_129)),antidomain(divergence(X_129))),one) )],[refute_0_2089,refute_0_2103]) ).
cnf(refute_0_2105,plain,
( addition(divergence(X_129),antidomain(divergence(X_129))) != one
| multiplication(antidomain(antidomain(divergence(X_129))),addition(divergence(X_129),antidomain(divergence(X_129)))) != multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),one) = multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),addition(divergence(X_129),antidomain(divergence(X_129)))),multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_2106,plain,
( multiplication(antidomain(antidomain(divergence(X_129))),addition(divergence(X_129),antidomain(divergence(X_129)))) != multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),one) = multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) ),
inference(resolve,[$cnf( $equal(addition(divergence(X_129),antidomain(divergence(X_129))),one) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
multiplication(antidomain(antidomain(divergence(X_129))),one) = multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),addition(divergence(X_129),antidomain(divergence(X_129)))),multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))) )],[refute_0_2084,refute_0_2106]) ).
cnf(refute_0_2108,plain,
antidomain(antidomain(divergence(X_129))) = domain(divergence(X_129)),
inference(subst,[],[refute_0_87:[bind(X0,$fot(divergence(X_129)))]]) ).
cnf(refute_0_2109,plain,
multiplication(antidomain(antidomain(divergence(X_129))),one) = antidomain(antidomain(divergence(X_129))),
inference(subst,[],[refute_0_60:[bind(A,$fot(antidomain(antidomain(divergence(X_129)))))]]) ).
cnf(refute_0_2110,plain,
( antidomain(antidomain(divergence(X_129))) != domain(divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),one) != antidomain(antidomain(divergence(X_129)))
| multiplication(antidomain(antidomain(divergence(X_129))),one) = domain(divergence(X_129)) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(antidomain(divergence(X_129))),one))),bind(Y,$fot(antidomain(antidomain(divergence(X_129))))),bind(Z,$fot(domain(divergence(X_129))))]]) ).
cnf(refute_0_2111,plain,
( antidomain(antidomain(divergence(X_129))) != domain(divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),one) = domain(divergence(X_129)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),one),antidomain(antidomain(divergence(X_129)))) )],[refute_0_2109,refute_0_2110]) ).
cnf(refute_0_2112,plain,
multiplication(antidomain(antidomain(divergence(X_129))),one) = domain(divergence(X_129)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(divergence(X_129))),domain(divergence(X_129))) )],[refute_0_2108,refute_0_2111]) ).
cnf(refute_0_2113,plain,
( multiplication(antidomain(antidomain(divergence(X_129))),one) != domain(divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),one) != multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))
| domain(divergence(X_129)) = multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),one),multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))) ),[0],$fot(domain(divergence(X_129)))]]) ).
cnf(refute_0_2114,plain,
( multiplication(antidomain(antidomain(divergence(X_129))),one) != multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))
| domain(divergence(X_129)) = multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),one),domain(divergence(X_129))) )],[refute_0_2112,refute_0_2113]) ).
cnf(refute_0_2115,plain,
multiplication(domain(divergence(X_129)),divergence(X_129)) = divergence(X_129),
inference(subst,[],[refute_0_1154:[bind(X_505,$fot(divergence(X_129)))]]) ).
cnf(refute_0_2116,plain,
multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) = multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)))]]) ).
cnf(refute_0_2117,plain,
( antidomain(antidomain(divergence(X_129))) != domain(divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) != multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) = multiplication(domain(divergence(X_129)),divergence(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)),multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))) ),[1,0],$fot(domain(divergence(X_129)))]]) ).
cnf(refute_0_2118,plain,
( antidomain(antidomain(divergence(X_129))) != domain(divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) = multiplication(domain(divergence(X_129)),divergence(X_129)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)),multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))) )],[refute_0_2116,refute_0_2117]) ).
cnf(refute_0_2119,plain,
multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) = multiplication(domain(divergence(X_129)),divergence(X_129)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(divergence(X_129))),domain(divergence(X_129))) )],[refute_0_2108,refute_0_2118]) ).
cnf(refute_0_2120,plain,
( multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) != multiplication(domain(divergence(X_129)),divergence(X_129))
| multiplication(domain(divergence(X_129)),divergence(X_129)) != divergence(X_129)
| multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) = divergence(X_129) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)))),bind(Y,$fot(multiplication(domain(divergence(X_129)),divergence(X_129)))),bind(Z,$fot(divergence(X_129)))]]) ).
cnf(refute_0_2121,plain,
( multiplication(domain(divergence(X_129)),divergence(X_129)) != divergence(X_129)
| multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) = divergence(X_129) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)),multiplication(domain(divergence(X_129)),divergence(X_129))) )],[refute_0_2119,refute_0_2120]) ).
cnf(refute_0_2122,plain,
multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) = divergence(X_129),
inference(resolve,[$cnf( $equal(multiplication(domain(divergence(X_129)),divergence(X_129)),divergence(X_129)) )],[refute_0_2115,refute_0_2121]) ).
cnf(refute_0_2123,plain,
( domain(divergence(X_129)) != multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))
| multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)) != divergence(X_129)
| domain(divergence(X_129)) = divergence(X_129) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(divergence(X_129)),divergence(X_129)) ),[0],$fot(multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)))]]) ).
cnf(refute_0_2124,plain,
( domain(divergence(X_129)) != multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))
| domain(divergence(X_129)) = divergence(X_129) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129)),divergence(X_129)) )],[refute_0_2122,refute_0_2123]) ).
cnf(refute_0_2125,plain,
( multiplication(antidomain(antidomain(divergence(X_129))),one) != multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))
| domain(divergence(X_129)) = divergence(X_129) ),
inference(resolve,[$cnf( $equal(domain(divergence(X_129)),multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))) )],[refute_0_2114,refute_0_2124]) ).
cnf(refute_0_2126,plain,
domain(divergence(X_129)) = divergence(X_129),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(divergence(X_129))),one),multiplication(antidomain(antidomain(divergence(X_129))),divergence(X_129))) )],[refute_0_2107,refute_0_2125]) ).
cnf(refute_0_2127,plain,
domain(divergence(skolemFOFtoCNF_X0)) = divergence(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_2126:[bind(X_129,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2128,plain,
backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2129,plain,
( backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) != backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))
| domain(divergence(skolemFOFtoCNF_X0)) != divergence(skolemFOFtoCNF_X0)
| backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))) ),[1,0],$fot(divergence(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2130,plain,
( domain(divergence(skolemFOFtoCNF_X0)) != divergence(skolemFOFtoCNF_X0)
| backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))) )],[refute_0_2128,refute_0_2129]) ).
cnf(refute_0_2131,plain,
backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(domain(divergence(skolemFOFtoCNF_X0)),divergence(skolemFOFtoCNF_X0)) )],[refute_0_2127,refute_0_2130]) ).
cnf(refute_0_2132,plain,
( backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) != backward_box(divergence(skolemFOFtoCNF_X0),zero)
| backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) != backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))
| backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),zero) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))))),bind(Y,$fot(backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))))),bind(Z,$fot(backward_box(divergence(skolemFOFtoCNF_X0),zero)))]]) ).
cnf(refute_0_2133,plain,
( backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) != backward_box(divergence(skolemFOFtoCNF_X0),zero)
| backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))) )],[refute_0_2131,refute_0_2132]) ).
cnf(refute_0_2134,plain,
backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = backward_box(divergence(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(backward_box(divergence(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),backward_box(divergence(skolemFOFtoCNF_X0),zero)) )],[refute_0_2083,refute_0_2133]) ).
cnf(refute_0_2135,plain,
( backward_box(divergence(skolemFOFtoCNF_X0),zero) != antidomain(codomain(divergence(skolemFOFtoCNF_X0)))
| backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) != backward_box(divergence(skolemFOFtoCNF_X0),zero)
| backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = antidomain(codomain(divergence(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_111:[bind(X,$fot(backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))))),bind(Y,$fot(backward_box(divergence(skolemFOFtoCNF_X0),zero))),bind(Z,$fot(antidomain(codomain(divergence(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2136,plain,
( backward_box(divergence(skolemFOFtoCNF_X0),zero) != antidomain(codomain(divergence(skolemFOFtoCNF_X0)))
| backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = antidomain(codomain(divergence(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),backward_box(divergence(skolemFOFtoCNF_X0),zero)) )],[refute_0_2134,refute_0_2135]) ).
cnf(refute_0_2137,plain,
backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) = antidomain(codomain(divergence(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(backward_box(divergence(skolemFOFtoCNF_X0),zero),antidomain(codomain(divergence(skolemFOFtoCNF_X0)))) )],[refute_0_2043,refute_0_2136]) ).
cnf(refute_0_2138,plain,
( backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))) != antidomain(codomain(divergence(skolemFOFtoCNF_X0)))
| one != backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))
| one = antidomain(codomain(divergence(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(one,backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))) ),[1],$fot(antidomain(codomain(divergence(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2139,plain,
( one != backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))
| one = antidomain(codomain(divergence(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0)))),antidomain(codomain(divergence(skolemFOFtoCNF_X0)))) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
one = antidomain(codomain(divergence(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(one,backward_box(domain(divergence(skolemFOFtoCNF_X0)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(divergence(skolemFOFtoCNF_X0),divergence(skolemFOFtoCNF_X0))))) )],[refute_0_2007,refute_0_2139]) ).
cnf(refute_0_2141,plain,
( one != antidomain(codomain(divergence(skolemFOFtoCNF_X0)))
| antidomain(codomain(divergence(skolemFOFtoCNF_X0))) = one ),
inference(subst,[],[refute_0_40:[bind(X,$fot(one)),bind(Y,$fot(antidomain(codomain(divergence(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2142,plain,
antidomain(codomain(divergence(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(codomain(divergence(skolemFOFtoCNF_X0)))) )],[refute_0_2140,refute_0_2141]) ).
cnf(refute_0_2143,plain,
( antidomain(codomain(divergence(skolemFOFtoCNF_X0))) != one
| zero != multiplication(divergence(skolemFOFtoCNF_X0),antidomain(codomain(divergence(skolemFOFtoCNF_X0))))
| zero = multiplication(divergence(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(divergence(skolemFOFtoCNF_X0),antidomain(codomain(divergence(skolemFOFtoCNF_X0))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2144,plain,
( zero != multiplication(divergence(skolemFOFtoCNF_X0),antidomain(codomain(divergence(skolemFOFtoCNF_X0))))
| zero = multiplication(divergence(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(antidomain(codomain(divergence(skolemFOFtoCNF_X0))),one) )],[refute_0_2142,refute_0_2143]) ).
cnf(refute_0_2145,plain,
zero = multiplication(divergence(skolemFOFtoCNF_X0),one),
inference(resolve,[$cnf( $equal(zero,multiplication(divergence(skolemFOFtoCNF_X0),antidomain(codomain(divergence(skolemFOFtoCNF_X0))))) )],[refute_0_127,refute_0_2144]) ).
cnf(refute_0_2146,plain,
multiplication(divergence(skolemFOFtoCNF_X0),one) = divergence(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_60:[bind(A,$fot(divergence(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2147,plain,
( multiplication(divergence(skolemFOFtoCNF_X0),one) != divergence(skolemFOFtoCNF_X0)
| zero != multiplication(divergence(skolemFOFtoCNF_X0),one)
| zero = divergence(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(divergence(skolemFOFtoCNF_X0),one)) ),[1],$fot(divergence(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2148,plain,
( zero != multiplication(divergence(skolemFOFtoCNF_X0),one)
| zero = divergence(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(divergence(skolemFOFtoCNF_X0),one),divergence(skolemFOFtoCNF_X0)) )],[refute_0_2146,refute_0_2147]) ).
cnf(refute_0_2149,plain,
zero = divergence(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(zero,multiplication(divergence(skolemFOFtoCNF_X0),one)) )],[refute_0_2145,refute_0_2148]) ).
cnf(refute_0_2150,plain,
divergence(skolemFOFtoCNF_X0) != zero,
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_2151,plain,
( zero != divergence(skolemFOFtoCNF_X0)
| divergence(skolemFOFtoCNF_X0) = zero ),
inference(subst,[],[refute_0_40:[bind(X,$fot(zero)),bind(Y,$fot(divergence(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2152,plain,
zero != divergence(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(divergence(skolemFOFtoCNF_X0),zero) )],[refute_0_2151,refute_0_2150]) ).
cnf(refute_0_2153,plain,
$false,
inference(resolve,[$cnf( $equal(zero,divergence(skolemFOFtoCNF_X0)) )],[refute_0_2149,refute_0_2152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jun 16 09:48:02 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 43.60/43.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.60/43.79
% 43.60/43.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 43.79/43.97
%------------------------------------------------------------------------------