TSTP Solution File: KLE102+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE102+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 02:15:17 EDT 2022
% Result : Theorem 204.30s 204.49s
% Output : CNFRefutation 204.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 437
% Syntax : Number of formulae : 1897 ( 975 unt; 0 def)
% Number of atoms : 3226 (3188 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 2659 (1330 ~;1320 |; 3 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 2728 ( 68 sgn 132 !; 3 ?)
% 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_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
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(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
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(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(goals,conjecture,
! [X0,X1,X2] :
( multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero
=> multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero ) ).
fof(subgoal_0,plain,
! [X0,X1,X2] :
( multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero
=> multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] :
( multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero
=> multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_1,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,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_3,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_5,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_7,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_9,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_11,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_13,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_15,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_17,plain,
! [A,B] : addition(A,B) = addition(B,A),
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] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_21,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[domain_difference]) ).
fof(normalize_0_23,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[complement]) ).
fof(normalize_0_25,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_27,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_31,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_33,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[forward_diamond]) ).
fof(normalize_0_34,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_36,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[codomain1]) ).
fof(normalize_0_38,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(specialize,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
? [X0,X1,X2] :
( multiplication(forward_diamond(X0,domain(X1)),domain(X2)) != zero
& multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_40,plain,
( multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != zero
& multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = zero ),
inference(skolemize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = zero,
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[codomain3]) ).
fof(normalize_0_43,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[codomain4]) ).
fof(normalize_0_45,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(canonicalize,[],[backward_diamond]) ).
fof(normalize_0_47,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(specialize,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_49,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
! [A] : multiplication(A,zero) = zero,
inference(canonicalize,[],[right_annihilation]) ).
fof(normalize_0_51,plain,
! [A] : multiplication(A,zero) = zero,
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(canonicalize,[],[forward_box]) ).
fof(normalize_0_53,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != zero,
inference(conjunct,[],[normalize_0_40]) ).
cnf(refute_0_0,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
multiplication(antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))))]]) ).
cnf(refute_0_2,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_8,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(subst,[],[refute_0_8:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_10,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).
cnf(refute_0_11,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,antidomain(antidomain(X1)))
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) ),[1,1],$fot(domain(X1))]]) ).
cnf(refute_0_12,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_15,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_16,plain,
( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).
cnf(refute_0_19,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_20,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
introduced(tautology,[equality,[$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_23,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$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_25,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( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_17,refute_0_24]) ).
cnf(refute_0_26,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_23,refute_0_25]) ).
cnf(refute_0_27,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_2,refute_0_26]) ).
cnf(refute_0_28,plain,
addition(antidomain(multiplication(antidomain(addition(X_245,X_221)),X_245)),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(antidomain(addition(X_245,X_221)))),bind(X1,$fot(X_245))]]) ).
cnf(refute_0_29,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_30,plain,
multiplication(antidomain(X_129),addition(X_128,X_129)) = addition(multiplication(antidomain(X_129),X_128),multiplication(antidomain(X_129),X_129)),
inference(subst,[],[refute_0_29:[bind(A,$fot(antidomain(X_129))),bind(B,$fot(X_128)),bind(C,$fot(X_129))]]) ).
cnf(refute_0_31,plain,
multiplication(antidomain(X_129),X_129) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_129))]]) ).
cnf(refute_0_32,plain,
( multiplication(antidomain(X_129),X_129) != zero
| multiplication(antidomain(X_129),addition(X_128,X_129)) != addition(multiplication(antidomain(X_129),X_128),multiplication(antidomain(X_129),X_129))
| multiplication(antidomain(X_129),addition(X_128,X_129)) = addition(multiplication(antidomain(X_129),X_128),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_129),addition(X_128,X_129)),addition(multiplication(antidomain(X_129),X_128),multiplication(antidomain(X_129),X_129))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_33,plain,
( multiplication(antidomain(X_129),addition(X_128,X_129)) != addition(multiplication(antidomain(X_129),X_128),multiplication(antidomain(X_129),X_129))
| multiplication(antidomain(X_129),addition(X_128,X_129)) = addition(multiplication(antidomain(X_129),X_128),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_129),X_129),zero) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
multiplication(antidomain(X_129),addition(X_128,X_129)) = addition(multiplication(antidomain(X_129),X_128),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_129),addition(X_128,X_129)),addition(multiplication(antidomain(X_129),X_128),multiplication(antidomain(X_129),X_129))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_36,plain,
addition(multiplication(antidomain(X_129),X_128),zero) = multiplication(antidomain(X_129),X_128),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(antidomain(X_129),X_128)))]]) ).
cnf(refute_0_37,plain,
( addition(multiplication(antidomain(X_129),X_128),zero) != multiplication(antidomain(X_129),X_128)
| multiplication(antidomain(X_129),addition(X_128,X_129)) != addition(multiplication(antidomain(X_129),X_128),zero)
| multiplication(antidomain(X_129),addition(X_128,X_129)) = multiplication(antidomain(X_129),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_129),addition(X_128,X_129)),addition(multiplication(antidomain(X_129),X_128),zero)) ),[1],$fot(multiplication(antidomain(X_129),X_128))]]) ).
cnf(refute_0_38,plain,
( multiplication(antidomain(X_129),addition(X_128,X_129)) != addition(multiplication(antidomain(X_129),X_128),zero)
| multiplication(antidomain(X_129),addition(X_128,X_129)) = multiplication(antidomain(X_129),X_128) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_129),X_128),zero),multiplication(antidomain(X_129),X_128)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
multiplication(antidomain(X_129),addition(X_128,X_129)) = multiplication(antidomain(X_129),X_128),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_129),addition(X_128,X_129)),addition(multiplication(antidomain(X_129),X_128),zero)) )],[refute_0_34,refute_0_38]) ).
cnf(refute_0_40,plain,
multiplication(antidomain(addition(X_128,X_221)),addition(X_128,addition(X_128,X_221))) = multiplication(antidomain(addition(X_128,X_221)),X_128),
inference(subst,[],[refute_0_39:[bind(X_129,$fot(addition(X_128,X_221)))]]) ).
cnf(refute_0_41,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_42,plain,
addition(X_139,addition(X_139,X_140)) = addition(addition(X_139,X_139),X_140),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_139)),bind(B,$fot(X_139)),bind(C,$fot(X_140))]]) ).
cnf(refute_0_43,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_44,plain,
addition(X_139,X_139) = X_139,
inference(subst,[],[refute_0_43:[bind(A,$fot(X_139))]]) ).
cnf(refute_0_45,plain,
( addition(X_139,X_139) != X_139
| addition(X_139,addition(X_139,X_140)) != addition(addition(X_139,X_139),X_140)
| addition(X_139,addition(X_139,X_140)) = addition(X_139,X_140) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_139,addition(X_139,X_140)),addition(addition(X_139,X_139),X_140)) ),[1,0],$fot(X_139)]]) ).
cnf(refute_0_46,plain,
( addition(X_139,addition(X_139,X_140)) != addition(addition(X_139,X_139),X_140)
| addition(X_139,addition(X_139,X_140)) = addition(X_139,X_140) ),
inference(resolve,[$cnf( $equal(addition(X_139,X_139),X_139) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
addition(X_139,addition(X_139,X_140)) = addition(X_139,X_140),
inference(resolve,[$cnf( $equal(addition(X_139,addition(X_139,X_140)),addition(addition(X_139,X_139),X_140)) )],[refute_0_42,refute_0_46]) ).
cnf(refute_0_48,plain,
addition(X_128,addition(X_128,X_221)) = addition(X_128,X_221),
inference(subst,[],[refute_0_47:[bind(X_139,$fot(X_128)),bind(X_140,$fot(X_221))]]) ).
cnf(refute_0_49,plain,
( addition(X_128,addition(X_128,X_221)) != addition(X_128,X_221)
| multiplication(antidomain(addition(X_128,X_221)),addition(X_128,addition(X_128,X_221))) != multiplication(antidomain(addition(X_128,X_221)),X_128)
| multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)) = multiplication(antidomain(addition(X_128,X_221)),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(X_128,X_221)),addition(X_128,addition(X_128,X_221))),multiplication(antidomain(addition(X_128,X_221)),X_128)) ),[0,1],$fot(addition(X_128,X_221))]]) ).
cnf(refute_0_50,plain,
( multiplication(antidomain(addition(X_128,X_221)),addition(X_128,addition(X_128,X_221))) != multiplication(antidomain(addition(X_128,X_221)),X_128)
| multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)) = multiplication(antidomain(addition(X_128,X_221)),X_128) ),
inference(resolve,[$cnf( $equal(addition(X_128,addition(X_128,X_221)),addition(X_128,X_221)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)) = multiplication(antidomain(addition(X_128,X_221)),X_128),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_128,X_221)),addition(X_128,addition(X_128,X_221))),multiplication(antidomain(addition(X_128,X_221)),X_128)) )],[refute_0_40,refute_0_50]) ).
cnf(refute_0_52,plain,
multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(addition(X_128,X_221)))]]) ).
cnf(refute_0_53,plain,
( multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)) != multiplication(antidomain(addition(X_128,X_221)),X_128)
| multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)) != zero
| zero = multiplication(antidomain(addition(X_128,X_221)),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)),multiplication(antidomain(addition(X_128,X_221)),X_128)) ),[0],$fot(zero)]]) ).
cnf(refute_0_54,plain,
( multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)) != multiplication(antidomain(addition(X_128,X_221)),X_128)
| zero = multiplication(antidomain(addition(X_128,X_221)),X_128) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)),zero) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
zero = multiplication(antidomain(addition(X_128,X_221)),X_128),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_128,X_221)),addition(X_128,X_221)),multiplication(antidomain(addition(X_128,X_221)),X_128)) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
zero = multiplication(antidomain(addition(X_245,X_221)),X_245),
inference(subst,[],[refute_0_55:[bind(X_128,$fot(X_245))]]) ).
cnf(refute_0_57,plain,
( zero != multiplication(antidomain(addition(X_245,X_221)),X_245)
| multiplication(antidomain(addition(X_245,X_221)),X_245) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(addition(X_245,X_221)),X_245)))]]) ).
cnf(refute_0_58,plain,
multiplication(antidomain(addition(X_245,X_221)),X_245) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(addition(X_245,X_221)),X_245)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( addition(antidomain(multiplication(antidomain(addition(X_245,X_221)),X_245)),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))
| multiplication(antidomain(addition(X_245,X_221)),X_245) != zero
| addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(antidomain(addition(X_245,X_221)),X_245)),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_60,plain,
( addition(antidomain(multiplication(antidomain(addition(X_245,X_221)),X_245)),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))
| addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_245,X_221)),X_245),zero) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(addition(X_245,X_221)),X_245)),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) )],[refute_0_28,refute_0_60]) ).
cnf(refute_0_62,plain,
addition(antidomain(X0),addition(antidomain(X0),domain(X0))) = addition(antidomain(X0),domain(X0)),
inference(subst,[],[refute_0_47:[bind(X_139,$fot(antidomain(X0))),bind(X_140,$fot(domain(X0)))]]) ).
cnf(refute_0_63,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_64,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_65,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_66,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_66:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_68,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_69,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_63,refute_0_69]) ).
cnf(refute_0_71,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_72,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_73,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_8,refute_0_73]) ).
cnf(refute_0_75,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_76,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_70,refute_0_76]) ).
cnf(refute_0_78,plain,
( addition(antidomain(X0),addition(antidomain(X0),domain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(antidomain(X0),domain(X0))),addition(antidomain(X0),domain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_79,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( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(antidomain(X0),domain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_62,refute_0_79]) ).
cnf(refute_0_81,plain,
addition(antidomain(X0),one) = addition(one,antidomain(X0)),
inference(subst,[],[refute_0_66:[bind(A,$fot(one)),bind(B,$fot(antidomain(X0)))]]) ).
cnf(refute_0_82,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),one) != addition(one,antidomain(X0))
| addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),one),addition(antidomain(X0),domain(X0))) ),[0],$fot(addition(one,antidomain(X0)))]]) ).
cnf(refute_0_83,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),one),addition(one,antidomain(X0))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( addition(antidomain(X0),domain(X0)) != one
| addition(one,antidomain(X0)) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(X0)),addition(antidomain(X0),domain(X0))) ),[1],$fot(one)]]) ).
cnf(refute_0_85,plain,
( addition(one,antidomain(X0)) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_77,refute_0_84]) ).
cnf(refute_0_86,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X0)),addition(antidomain(X0),domain(X0))) )],[refute_0_83,refute_0_85]) ).
cnf(refute_0_87,plain,
addition(one,antidomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),one),addition(antidomain(X0),domain(X0))) )],[refute_0_80,refute_0_86]) ).
cnf(refute_0_88,plain,
addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = one,
inference(subst,[],[refute_0_87:[bind(X0,$fot(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))))]]) ).
cnf(refute_0_89,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_64:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_90,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_77:[bind(X0,$fot(one))]]) ).
cnf(refute_0_91,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one))]]) ).
cnf(refute_0_92,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_93,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_92:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_94,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(one))]]) ).
cnf(refute_0_95,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_96,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_99,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( antidomain(one) != zero
| domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_101,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_91,refute_0_101]) ).
cnf(refute_0_103,plain,
( addition(antidomain(one),domain(one)) != one
| domain(one) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_104,plain,
( addition(antidomain(one),domain(one)) != one
| addition(antidomain(one),antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
addition(antidomain(one),antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_90,refute_0_104]) ).
cnf(refute_0_106,plain,
addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).
cnf(refute_0_107,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_108,plain,
( antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_99,refute_0_108]) ).
cnf(refute_0_110,plain,
( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
| addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_111,plain,
( addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_105,refute_0_111]) ).
cnf(refute_0_113,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_114,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_89,refute_0_114]) ).
cnf(refute_0_116,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_35:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_117,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_118,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_121,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))))]]) ).
cnf(refute_0_123,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_124,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_127,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_126]) ).
cnf(refute_0_128,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))))
| addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = one ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))))),bind(Y,$fot(addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_129,plain,
( addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))))) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) = one,
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),one) )],[refute_0_88,refute_0_129]) ).
cnf(refute_0_131,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))
| addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != one
| one = antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) ),[0],$fot(one)]]) ).
cnf(refute_0_132,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) != antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))
| one = antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),one) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
one = antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))),antidomain(multiplication(antidomain(addition(X_245,X_221)),domain(X_245)))) )],[refute_0_61,refute_0_132]) ).
cnf(refute_0_134,plain,
one = antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),
inference(subst,[],[refute_0_133:[bind(X_221,$fot(X_283)),bind(X_245,$fot(X_284))]]) ).
cnf(refute_0_135,plain,
( one != antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284)))
| antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284)))))]]) ).
cnf(refute_0_136,plain,
antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284)))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) != one
| multiplication(antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) != zero
| multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_138,plain,
( multiplication(antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) != zero
| multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),one) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),zero) )],[refute_0_1,refute_0_138]) ).
cnf(refute_0_140,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_141,plain,
multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) = multiplication(antidomain(addition(X_284,X_283)),domain(X_284)),
inference(subst,[],[refute_0_140:[bind(A,$fot(multiplication(antidomain(addition(X_284,X_283)),domain(X_284))))]]) ).
cnf(refute_0_142,plain,
( multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) != multiplication(antidomain(addition(X_284,X_283)),domain(X_284))
| multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) != zero
| multiplication(antidomain(addition(X_284,X_283)),domain(X_284)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),zero) ),[0],$fot(multiplication(antidomain(addition(X_284,X_283)),domain(X_284)))]]) ).
cnf(refute_0_143,plain,
( multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) != zero
| multiplication(antidomain(addition(X_284,X_283)),domain(X_284)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),multiplication(antidomain(addition(X_284,X_283)),domain(X_284))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiplication(antidomain(addition(X_284,X_283)),domain(X_284)) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(addition(X_284,X_283)),domain(X_284))),zero) )],[refute_0_139,refute_0_143]) ).
cnf(refute_0_145,plain,
multiplication(antidomain(addition(X_284,addition(X_396,X_397))),domain(X_284)) = zero,
inference(subst,[],[refute_0_144:[bind(X_283,$fot(addition(X_396,X_397)))]]) ).
cnf(refute_0_146,plain,
addition(X_138,addition(X_139,X_140)) = addition(addition(X_138,X_139),X_140),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_138)),bind(B,$fot(X_139)),bind(C,$fot(X_140))]]) ).
cnf(refute_0_147,plain,
addition(X_139,X_138) = addition(X_138,X_139),
inference(subst,[],[refute_0_64:[bind(A,$fot(X_139)),bind(B,$fot(X_138))]]) ).
cnf(refute_0_148,plain,
( addition(X_139,X_138) != addition(X_138,X_139)
| addition(X_138,X_139) = addition(X_139,X_138) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(X_139,X_138))),bind(Y,$fot(addition(X_138,X_139)))]]) ).
cnf(refute_0_149,plain,
addition(X_138,X_139) = addition(X_139,X_138),
inference(resolve,[$cnf( $equal(addition(X_139,X_138),addition(X_138,X_139)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( addition(X_138,X_139) != addition(X_139,X_138)
| addition(X_138,addition(X_139,X_140)) != addition(addition(X_138,X_139),X_140)
| addition(X_138,addition(X_139,X_140)) = addition(addition(X_139,X_138),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_138,addition(X_139,X_140)),addition(addition(X_138,X_139),X_140)) ),[1,0],$fot(addition(X_139,X_138))]]) ).
cnf(refute_0_151,plain,
( addition(X_138,addition(X_139,X_140)) != addition(addition(X_138,X_139),X_140)
| addition(X_138,addition(X_139,X_140)) = addition(addition(X_139,X_138),X_140) ),
inference(resolve,[$cnf( $equal(addition(X_138,X_139),addition(X_139,X_138)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
addition(X_138,addition(X_139,X_140)) = addition(addition(X_139,X_138),X_140),
inference(resolve,[$cnf( $equal(addition(X_138,addition(X_139,X_140)),addition(addition(X_138,X_139),X_140)) )],[refute_0_146,refute_0_151]) ).
cnf(refute_0_153,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_154,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_41,refute_0_153]) ).
cnf(refute_0_155,plain,
addition(addition(X_139,X_138),X_140) = addition(X_139,addition(X_138,X_140)),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_139)),bind(B,$fot(X_138)),bind(C,$fot(X_140))]]) ).
cnf(refute_0_156,plain,
( addition(X_138,addition(X_139,X_140)) != addition(addition(X_139,X_138),X_140)
| addition(addition(X_139,X_138),X_140) != addition(X_139,addition(X_138,X_140))
| addition(X_138,addition(X_139,X_140)) = addition(X_139,addition(X_138,X_140)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_138,addition(X_139,X_140)),addition(X_139,addition(X_138,X_140))) ),[0],$fot(addition(addition(X_139,X_138),X_140))]]) ).
cnf(refute_0_157,plain,
( addition(X_138,addition(X_139,X_140)) != addition(addition(X_139,X_138),X_140)
| addition(X_138,addition(X_139,X_140)) = addition(X_139,addition(X_138,X_140)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_139,X_138),X_140),addition(X_139,addition(X_138,X_140))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
addition(X_138,addition(X_139,X_140)) = addition(X_139,addition(X_138,X_140)),
inference(resolve,[$cnf( $equal(addition(X_138,addition(X_139,X_140)),addition(addition(X_139,X_138),X_140)) )],[refute_0_152,refute_0_157]) ).
cnf(refute_0_159,plain,
addition(X_284,addition(X_396,X_397)) = addition(X_396,addition(X_284,X_397)),
inference(subst,[],[refute_0_158:[bind(X_138,$fot(X_284)),bind(X_139,$fot(X_396)),bind(X_140,$fot(X_397))]]) ).
cnf(refute_0_160,plain,
( addition(X_284,addition(X_396,X_397)) != addition(X_396,addition(X_284,X_397))
| multiplication(antidomain(addition(X_284,addition(X_396,X_397))),domain(X_284)) != zero
| multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(X_284,addition(X_396,X_397))),domain(X_284)),zero) ),[0,0,0],$fot(addition(X_396,addition(X_284,X_397)))]]) ).
cnf(refute_0_161,plain,
( multiplication(antidomain(addition(X_284,addition(X_396,X_397))),domain(X_284)) != zero
| multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)) = zero ),
inference(resolve,[$cnf( $equal(addition(X_284,addition(X_396,X_397)),addition(X_396,addition(X_284,X_397))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_284,addition(X_396,X_397))),domain(X_284)),zero) )],[refute_0_145,refute_0_161]) ).
cnf(refute_0_163,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_164,plain,
domain_difference(X_87,antidomain(X0)) = multiplication(domain(X_87),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_163:[bind(X0,$fot(X_87)),bind(X1,$fot(antidomain(X0)))]]) ).
cnf(refute_0_165,plain,
( antidomain(antidomain(X0)) != domain(X0)
| domain_difference(X_87,antidomain(X0)) != multiplication(domain(X_87),antidomain(antidomain(X0)))
| domain_difference(X_87,antidomain(X0)) = multiplication(domain(X_87),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X_87,antidomain(X0)),multiplication(domain(X_87),antidomain(antidomain(X0)))) ),[1,1],$fot(domain(X0))]]) ).
cnf(refute_0_166,plain,
( domain_difference(X_87,antidomain(X0)) != multiplication(domain(X_87),antidomain(antidomain(X0)))
| domain_difference(X_87,antidomain(X0)) = multiplication(domain(X_87),domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_8,refute_0_165]) ).
cnf(refute_0_167,plain,
domain_difference(X_87,antidomain(X0)) = multiplication(domain(X_87),domain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_87,antidomain(X0)),multiplication(domain(X_87),antidomain(antidomain(X0)))) )],[refute_0_164,refute_0_166]) ).
cnf(refute_0_168,plain,
domain_difference(antidomain(X_4),antidomain(X_93)) = multiplication(domain(antidomain(X_4)),domain(X_93)),
inference(subst,[],[refute_0_167:[bind(X0,$fot(X_93)),bind(X_87,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_169,plain,
domain(antidomain(X_4)) = antidomain(antidomain(antidomain(X_4))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_170,plain,
domain(X_4) = antidomain(antidomain(X_4)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_4))]]) ).
cnf(refute_0_171,plain,
( domain(X_4) != antidomain(antidomain(X_4))
| antidomain(antidomain(X_4)) = domain(X_4) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(X_4))),bind(Y,$fot(antidomain(antidomain(X_4))))]]) ).
cnf(refute_0_172,plain,
antidomain(antidomain(X_4)) = domain(X_4),
inference(resolve,[$cnf( $equal(domain(X_4),antidomain(antidomain(X_4))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
( antidomain(antidomain(X_4)) != domain(X_4)
| domain(antidomain(X_4)) != antidomain(antidomain(antidomain(X_4)))
| domain(antidomain(X_4)) = antidomain(domain(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_4)),antidomain(antidomain(antidomain(X_4)))) ),[1,0],$fot(domain(X_4))]]) ).
cnf(refute_0_174,plain,
( domain(antidomain(X_4)) != antidomain(antidomain(antidomain(X_4)))
| domain(antidomain(X_4)) = antidomain(domain(X_4)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_4)),domain(X_4)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
domain(antidomain(X_4)) = antidomain(domain(X_4)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),antidomain(antidomain(antidomain(X_4)))) )],[refute_0_169,refute_0_174]) ).
cnf(refute_0_176,plain,
c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_177,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = c(X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_178,plain,
antidomain(domain(X0)) = c(X0),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
antidomain(domain(X_4)) = c(X_4),
inference(subst,[],[refute_0_178:[bind(X0,$fot(X_4))]]) ).
cnf(refute_0_180,plain,
( antidomain(domain(X_4)) != c(X_4)
| domain(antidomain(X_4)) != antidomain(domain(X_4))
| domain(antidomain(X_4)) = c(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_4)),antidomain(domain(X_4))) ),[1],$fot(c(X_4))]]) ).
cnf(refute_0_181,plain,
( domain(antidomain(X_4)) != antidomain(domain(X_4))
| domain(antidomain(X_4)) = c(X_4) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_4)),c(X_4)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
domain(antidomain(X_4)) = c(X_4),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),antidomain(domain(X_4))) )],[refute_0_175,refute_0_181]) ).
cnf(refute_0_183,plain,
( domain(antidomain(X_4)) != c(X_4)
| domain_difference(antidomain(X_4),antidomain(X_93)) != multiplication(domain(antidomain(X_4)),domain(X_93))
| domain_difference(antidomain(X_4),antidomain(X_93)) = multiplication(c(X_4),domain(X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(X_4),antidomain(X_93)),multiplication(domain(antidomain(X_4)),domain(X_93))) ),[1,0],$fot(c(X_4))]]) ).
cnf(refute_0_184,plain,
( domain_difference(antidomain(X_4),antidomain(X_93)) != multiplication(domain(antidomain(X_4)),domain(X_93))
| domain_difference(antidomain(X_4),antidomain(X_93)) = multiplication(c(X_4),domain(X_93)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
domain_difference(antidomain(X_4),antidomain(X_93)) = multiplication(c(X_4),domain(X_93)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_4),antidomain(X_93)),multiplication(domain(antidomain(X_4)),domain(X_93))) )],[refute_0_168,refute_0_184]) ).
cnf(refute_0_186,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_187,plain,
( addition(X_648,addition(X_648,X_140)) != addition(X_648,X_140)
| leq(X_648,addition(X_648,X_140)) ),
inference(subst,[],[refute_0_186:[bind(A,$fot(X_648)),bind(B,$fot(addition(X_648,X_140)))]]) ).
cnf(refute_0_188,plain,
addition(X_648,addition(X_648,X_140)) = addition(X_648,X_140),
inference(subst,[],[refute_0_47:[bind(X_139,$fot(X_648))]]) ).
cnf(refute_0_189,plain,
( addition(X_648,X_140) != addition(X_648,X_140)
| addition(X_648,addition(X_648,X_140)) != addition(X_648,X_140)
| addition(X_648,addition(X_648,X_140)) = addition(X_648,X_140) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_648,addition(X_648,X_140)),addition(X_648,X_140)) ),[0,1],$fot(addition(X_648,X_140))]]) ).
cnf(refute_0_190,plain,
( addition(X_648,X_140) != addition(X_648,X_140)
| addition(X_648,addition(X_648,X_140)) = addition(X_648,X_140) ),
inference(resolve,[$cnf( $equal(addition(X_648,addition(X_648,X_140)),addition(X_648,X_140)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
( addition(X_648,X_140) != addition(X_648,X_140)
| leq(X_648,addition(X_648,X_140)) ),
inference(resolve,[$cnf( $equal(addition(X_648,addition(X_648,X_140)),addition(X_648,X_140)) )],[refute_0_190,refute_0_187]) ).
cnf(refute_0_192,plain,
addition(X_648,X_140) = addition(X_648,X_140),
introduced(tautology,[refl,[$fot(addition(X_648,X_140))]]) ).
cnf(refute_0_193,plain,
leq(X_648,addition(X_648,X_140)),
inference(resolve,[$cnf( $equal(addition(X_648,X_140),addition(X_648,X_140)) )],[refute_0_192,refute_0_191]) ).
cnf(refute_0_194,plain,
leq(X_654,addition(X_654,X_653)),
inference(subst,[],[refute_0_193:[bind(X_140,$fot(X_653)),bind(X_648,$fot(X_654))]]) ).
cnf(refute_0_195,plain,
addition(X_653,X_654) = addition(X_654,X_653),
inference(subst,[],[refute_0_64:[bind(A,$fot(X_653)),bind(B,$fot(X_654))]]) ).
cnf(refute_0_196,plain,
( addition(X_653,X_654) != addition(X_654,X_653)
| addition(X_654,X_653) = addition(X_653,X_654) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(X_653,X_654))),bind(Y,$fot(addition(X_654,X_653)))]]) ).
cnf(refute_0_197,plain,
addition(X_654,X_653) = addition(X_653,X_654),
inference(resolve,[$cnf( $equal(addition(X_653,X_654),addition(X_654,X_653)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
( addition(X_654,X_653) != addition(X_653,X_654)
| ~ leq(X_654,addition(X_654,X_653))
| leq(X_654,addition(X_653,X_654)) ),
introduced(tautology,[equality,[$cnf( leq(X_654,addition(X_654,X_653)) ),[1],$fot(addition(X_653,X_654))]]) ).
cnf(refute_0_199,plain,
( ~ leq(X_654,addition(X_654,X_653))
| leq(X_654,addition(X_653,X_654)) ),
inference(resolve,[$cnf( $equal(addition(X_654,X_653),addition(X_653,X_654)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
leq(X_654,addition(X_653,X_654)),
inference(resolve,[$cnf( leq(X_654,addition(X_654,X_653)) )],[refute_0_194,refute_0_199]) ).
cnf(refute_0_201,plain,
leq(multiplication(domain(X_142),X_669),addition(X_669,multiplication(domain(X_142),X_669))),
inference(subst,[],[refute_0_200:[bind(X_653,$fot(X_669)),bind(X_654,$fot(multiplication(domain(X_142),X_669)))]]) ).
cnf(refute_0_202,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_203,plain,
multiplication(addition(one,X_207),X_208) = addition(multiplication(one,X_208),multiplication(X_207,X_208)),
inference(subst,[],[refute_0_202:[bind(A,$fot(one)),bind(B,$fot(X_207)),bind(C,$fot(X_208))]]) ).
cnf(refute_0_204,plain,
multiplication(one,X_208) = X_208,
inference(subst,[],[refute_0_140:[bind(A,$fot(X_208))]]) ).
cnf(refute_0_205,plain,
( multiplication(addition(one,X_207),X_208) != addition(multiplication(one,X_208),multiplication(X_207,X_208))
| multiplication(one,X_208) != X_208
| multiplication(addition(one,X_207),X_208) = addition(X_208,multiplication(X_207,X_208)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_207),X_208),addition(multiplication(one,X_208),multiplication(X_207,X_208))) ),[1,0],$fot(X_208)]]) ).
cnf(refute_0_206,plain,
( multiplication(addition(one,X_207),X_208) != addition(multiplication(one,X_208),multiplication(X_207,X_208))
| multiplication(addition(one,X_207),X_208) = addition(X_208,multiplication(X_207,X_208)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_208),X_208) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiplication(addition(one,X_207),X_208) = addition(X_208,multiplication(X_207,X_208)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_207),X_208),addition(multiplication(one,X_208),multiplication(X_207,X_208))) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
multiplication(addition(one,domain(X_142)),X_215) = addition(X_215,multiplication(domain(X_142),X_215)),
inference(subst,[],[refute_0_207:[bind(X_207,$fot(domain(X_142))),bind(X_208,$fot(X_215))]]) ).
cnf(refute_0_209,plain,
addition(c(X_4),addition(domain(X_4),X_140)) = addition(addition(c(X_4),domain(X_4)),X_140),
inference(subst,[],[refute_0_41:[bind(A,$fot(c(X_4))),bind(B,$fot(domain(X_4))),bind(C,$fot(X_140))]]) ).
cnf(refute_0_210,plain,
addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))) = one,
inference(subst,[],[refute_0_77:[bind(X0,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_211,plain,
( addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))) != one
| domain(antidomain(X_4)) != c(X_4)
| addition(antidomain(antidomain(X_4)),c(X_4)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))),one) ),[0,1],$fot(c(X_4))]]) ).
cnf(refute_0_212,plain,
( addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))) != one
| addition(antidomain(antidomain(X_4)),c(X_4)) = one ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_182,refute_0_211]) ).
cnf(refute_0_213,plain,
addition(antidomain(antidomain(X_4)),c(X_4)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))),one) )],[refute_0_210,refute_0_212]) ).
cnf(refute_0_214,plain,
addition(c(X_4),antidomain(antidomain(X_4))) = addition(c(X_4),antidomain(antidomain(X_4))),
introduced(tautology,[refl,[$fot(addition(c(X_4),antidomain(antidomain(X_4))))]]) ).
cnf(refute_0_215,plain,
( addition(c(X_4),antidomain(antidomain(X_4))) != addition(c(X_4),antidomain(antidomain(X_4)))
| antidomain(antidomain(X_4)) != domain(X_4)
| addition(c(X_4),antidomain(antidomain(X_4))) = addition(c(X_4),domain(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_4),antidomain(antidomain(X_4))),addition(c(X_4),antidomain(antidomain(X_4)))) ),[1,1],$fot(domain(X_4))]]) ).
cnf(refute_0_216,plain,
( antidomain(antidomain(X_4)) != domain(X_4)
| addition(c(X_4),antidomain(antidomain(X_4))) = addition(c(X_4),domain(X_4)) ),
inference(resolve,[$cnf( $equal(addition(c(X_4),antidomain(antidomain(X_4))),addition(c(X_4),antidomain(antidomain(X_4)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
addition(c(X_4),antidomain(antidomain(X_4))) = addition(c(X_4),domain(X_4)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_4)),domain(X_4)) )],[refute_0_172,refute_0_216]) ).
cnf(refute_0_218,plain,
addition(antidomain(antidomain(X_4)),c(X_4)) = addition(c(X_4),antidomain(antidomain(X_4))),
inference(subst,[],[refute_0_66:[bind(A,$fot(c(X_4))),bind(B,$fot(antidomain(antidomain(X_4))))]]) ).
cnf(refute_0_219,plain,
( addition(antidomain(antidomain(X_4)),c(X_4)) != addition(c(X_4),antidomain(antidomain(X_4)))
| addition(c(X_4),antidomain(antidomain(X_4))) != addition(c(X_4),domain(X_4))
| addition(antidomain(antidomain(X_4)),c(X_4)) = addition(c(X_4),domain(X_4)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(antidomain(antidomain(X_4)),c(X_4)))),bind(Y,$fot(addition(c(X_4),antidomain(antidomain(X_4))))),bind(Z,$fot(addition(c(X_4),domain(X_4))))]]) ).
cnf(refute_0_220,plain,
( addition(c(X_4),antidomain(antidomain(X_4))) != addition(c(X_4),domain(X_4))
| addition(antidomain(antidomain(X_4)),c(X_4)) = addition(c(X_4),domain(X_4)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),c(X_4)),addition(c(X_4),antidomain(antidomain(X_4)))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
addition(antidomain(antidomain(X_4)),c(X_4)) = addition(c(X_4),domain(X_4)),
inference(resolve,[$cnf( $equal(addition(c(X_4),antidomain(antidomain(X_4))),addition(c(X_4),domain(X_4))) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
( addition(antidomain(antidomain(X_4)),c(X_4)) != addition(c(X_4),domain(X_4))
| addition(antidomain(antidomain(X_4)),c(X_4)) != one
| addition(c(X_4),domain(X_4)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_4)),c(X_4)),one) ),[0],$fot(addition(c(X_4),domain(X_4)))]]) ).
cnf(refute_0_223,plain,
( addition(antidomain(antidomain(X_4)),c(X_4)) != one
| addition(c(X_4),domain(X_4)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),c(X_4)),addition(c(X_4),domain(X_4))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
addition(c(X_4),domain(X_4)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),c(X_4)),one) )],[refute_0_213,refute_0_223]) ).
cnf(refute_0_225,plain,
( addition(c(X_4),addition(domain(X_4),X_140)) != addition(addition(c(X_4),domain(X_4)),X_140)
| addition(c(X_4),domain(X_4)) != one
| addition(c(X_4),addition(domain(X_4),X_140)) = addition(one,X_140) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_4),addition(domain(X_4),X_140)),addition(addition(c(X_4),domain(X_4)),X_140)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_226,plain,
( addition(c(X_4),addition(domain(X_4),X_140)) != addition(addition(c(X_4),domain(X_4)),X_140)
| addition(c(X_4),addition(domain(X_4),X_140)) = addition(one,X_140) ),
inference(resolve,[$cnf( $equal(addition(c(X_4),domain(X_4)),one) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
addition(c(X_4),addition(domain(X_4),X_140)) = addition(one,X_140),
inference(resolve,[$cnf( $equal(addition(c(X_4),addition(domain(X_4),X_140)),addition(addition(c(X_4),domain(X_4)),X_140)) )],[refute_0_209,refute_0_226]) ).
cnf(refute_0_228,plain,
addition(c(X_142),addition(domain(X_142),domain(X_142))) = addition(one,domain(X_142)),
inference(subst,[],[refute_0_227:[bind(X_140,$fot(domain(X_142))),bind(X_4,$fot(X_142))]]) ).
cnf(refute_0_229,plain,
addition(domain(X_142),domain(X_142)) = domain(X_142),
inference(subst,[],[refute_0_43:[bind(A,$fot(domain(X_142)))]]) ).
cnf(refute_0_230,plain,
( addition(c(X_142),addition(domain(X_142),domain(X_142))) != addition(one,domain(X_142))
| addition(domain(X_142),domain(X_142)) != domain(X_142)
| addition(c(X_142),domain(X_142)) = addition(one,domain(X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_142),addition(domain(X_142),domain(X_142))),addition(one,domain(X_142))) ),[0,1],$fot(domain(X_142))]]) ).
cnf(refute_0_231,plain,
( addition(c(X_142),addition(domain(X_142),domain(X_142))) != addition(one,domain(X_142))
| addition(c(X_142),domain(X_142)) = addition(one,domain(X_142)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_142),domain(X_142)),domain(X_142)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
addition(c(X_142),domain(X_142)) = addition(one,domain(X_142)),
inference(resolve,[$cnf( $equal(addition(c(X_142),addition(domain(X_142),domain(X_142))),addition(one,domain(X_142))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
addition(c(X_142),domain(X_142)) = one,
inference(subst,[],[refute_0_224:[bind(X_4,$fot(X_142))]]) ).
cnf(refute_0_234,plain,
( addition(c(X_142),domain(X_142)) != addition(one,domain(X_142))
| addition(c(X_142),domain(X_142)) != one
| one = addition(one,domain(X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_142),domain(X_142)),addition(one,domain(X_142))) ),[0],$fot(one)]]) ).
cnf(refute_0_235,plain,
( addition(c(X_142),domain(X_142)) != addition(one,domain(X_142))
| one = addition(one,domain(X_142)) ),
inference(resolve,[$cnf( $equal(addition(c(X_142),domain(X_142)),one) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
one = addition(one,domain(X_142)),
inference(resolve,[$cnf( $equal(addition(c(X_142),domain(X_142)),addition(one,domain(X_142))) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
( one != addition(one,domain(X_142))
| addition(one,domain(X_142)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_142))))]]) ).
cnf(refute_0_238,plain,
addition(one,domain(X_142)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,domain(X_142))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
( addition(one,domain(X_142)) != one
| multiplication(addition(one,domain(X_142)),X_215) != addition(X_215,multiplication(domain(X_142),X_215))
| multiplication(one,X_215) = addition(X_215,multiplication(domain(X_142),X_215)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_142)),X_215),addition(X_215,multiplication(domain(X_142),X_215))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_240,plain,
( multiplication(addition(one,domain(X_142)),X_215) != addition(X_215,multiplication(domain(X_142),X_215))
| multiplication(one,X_215) = addition(X_215,multiplication(domain(X_142),X_215)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_142)),one) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiplication(one,X_215) = addition(X_215,multiplication(domain(X_142),X_215)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_142)),X_215),addition(X_215,multiplication(domain(X_142),X_215))) )],[refute_0_208,refute_0_240]) ).
cnf(refute_0_242,plain,
multiplication(one,X_215) = X_215,
inference(subst,[],[refute_0_140:[bind(A,$fot(X_215))]]) ).
cnf(refute_0_243,plain,
( multiplication(one,X_215) != X_215
| multiplication(one,X_215) != addition(X_215,multiplication(domain(X_142),X_215))
| X_215 = addition(X_215,multiplication(domain(X_142),X_215)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_215),addition(X_215,multiplication(domain(X_142),X_215))) ),[0],$fot(X_215)]]) ).
cnf(refute_0_244,plain,
( multiplication(one,X_215) != addition(X_215,multiplication(domain(X_142),X_215))
| X_215 = addition(X_215,multiplication(domain(X_142),X_215)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_215),X_215) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
X_215 = addition(X_215,multiplication(domain(X_142),X_215)),
inference(resolve,[$cnf( $equal(multiplication(one,X_215),addition(X_215,multiplication(domain(X_142),X_215))) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
X_669 = addition(X_669,multiplication(domain(X_142),X_669)),
inference(subst,[],[refute_0_245:[bind(X_215,$fot(X_669))]]) ).
cnf(refute_0_247,plain,
( X_669 != addition(X_669,multiplication(domain(X_142),X_669))
| addition(X_669,multiplication(domain(X_142),X_669)) = X_669 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_669)),bind(Y,$fot(addition(X_669,multiplication(domain(X_142),X_669))))]]) ).
cnf(refute_0_248,plain,
addition(X_669,multiplication(domain(X_142),X_669)) = X_669,
inference(resolve,[$cnf( $equal(X_669,addition(X_669,multiplication(domain(X_142),X_669))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( addition(X_669,multiplication(domain(X_142),X_669)) != X_669
| ~ leq(multiplication(domain(X_142),X_669),addition(X_669,multiplication(domain(X_142),X_669)))
| leq(multiplication(domain(X_142),X_669),X_669) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(domain(X_142),X_669),addition(X_669,multiplication(domain(X_142),X_669))) ),[1],$fot(X_669)]]) ).
cnf(refute_0_250,plain,
( ~ leq(multiplication(domain(X_142),X_669),addition(X_669,multiplication(domain(X_142),X_669)))
| leq(multiplication(domain(X_142),X_669),X_669) ),
inference(resolve,[$cnf( $equal(addition(X_669,multiplication(domain(X_142),X_669)),X_669) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
leq(multiplication(domain(X_142),X_669),X_669),
inference(resolve,[$cnf( leq(multiplication(domain(X_142),X_669),addition(X_669,multiplication(domain(X_142),X_669))) )],[refute_0_201,refute_0_250]) ).
cnf(refute_0_252,plain,
leq(multiplication(domain(X_694),antidomain(X1)),antidomain(X1)),
inference(subst,[],[refute_0_251:[bind(X_142,$fot(X_694)),bind(X_669,$fot(antidomain(X1)))]]) ).
cnf(refute_0_253,plain,
domain_difference(X_694,X1) = multiplication(domain(X_694),antidomain(X1)),
inference(subst,[],[refute_0_163:[bind(X0,$fot(X_694))]]) ).
cnf(refute_0_254,plain,
( domain_difference(X_694,X1) != multiplication(domain(X_694),antidomain(X1))
| multiplication(domain(X_694),antidomain(X1)) = domain_difference(X_694,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain_difference(X_694,X1))),bind(Y,$fot(multiplication(domain(X_694),antidomain(X1))))]]) ).
cnf(refute_0_255,plain,
multiplication(domain(X_694),antidomain(X1)) = domain_difference(X_694,X1),
inference(resolve,[$cnf( $equal(domain_difference(X_694,X1),multiplication(domain(X_694),antidomain(X1))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( multiplication(domain(X_694),antidomain(X1)) != domain_difference(X_694,X1)
| ~ leq(multiplication(domain(X_694),antidomain(X1)),antidomain(X1))
| leq(domain_difference(X_694,X1),antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(domain(X_694),antidomain(X1)),antidomain(X1)) ),[0],$fot(domain_difference(X_694,X1))]]) ).
cnf(refute_0_257,plain,
( ~ leq(multiplication(domain(X_694),antidomain(X1)),antidomain(X1))
| leq(domain_difference(X_694,X1),antidomain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_694),antidomain(X1)),domain_difference(X_694,X1)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
leq(domain_difference(X_694,X1),antidomain(X1)),
inference(resolve,[$cnf( leq(multiplication(domain(X_694),antidomain(X1)),antidomain(X1)) )],[refute_0_252,refute_0_257]) ).
cnf(refute_0_259,plain,
leq(domain_difference(antidomain(X_724),X_724),antidomain(X_724)),
inference(subst,[],[refute_0_258:[bind(X1,$fot(X_724)),bind(X_694,$fot(antidomain(X_724)))]]) ).
cnf(refute_0_260,plain,
multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(subst,[],[refute_0_39:[bind(X_128,$fot(antidomain(X0))),bind(X_129,$fot(domain(X0)))]]) ).
cnf(refute_0_261,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_262,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( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_77,refute_0_261]) ).
cnf(refute_0_263,plain,
multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_260,refute_0_262]) ).
cnf(refute_0_264,plain,
multiplication(antidomain(domain(X0)),one) = antidomain(domain(X0)),
inference(subst,[],[refute_0_92:[bind(A,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_265,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_127:[bind(X,$fot(multiplication(antidomain(domain(X0)),one))),bind(Y,$fot(antidomain(domain(X0)))),bind(Z,$fot(c(X0)))]]) ).
cnf(refute_0_266,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),one) = c(X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),antidomain(domain(X0))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
multiplication(antidomain(domain(X0)),one) = c(X0),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_178,refute_0_266]) ).
cnf(refute_0_268,plain,
( multiplication(antidomain(domain(X0)),one) != c(X0)
| multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0],$fot(c(X0))]]) ).
cnf(refute_0_269,plain,
( multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),c(X0)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
domain_difference(antidomain(X_4),X_88) = multiplication(domain(antidomain(X_4)),antidomain(X_88)),
inference(subst,[],[refute_0_163:[bind(X0,$fot(antidomain(X_4))),bind(X1,$fot(X_88))]]) ).
cnf(refute_0_271,plain,
( domain(antidomain(X_4)) != c(X_4)
| domain_difference(antidomain(X_4),X_88) != multiplication(domain(antidomain(X_4)),antidomain(X_88))
| domain_difference(antidomain(X_4),X_88) = multiplication(c(X_4),antidomain(X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(X_4),X_88),multiplication(domain(antidomain(X_4)),antidomain(X_88))) ),[1,0],$fot(c(X_4))]]) ).
cnf(refute_0_272,plain,
( domain_difference(antidomain(X_4),X_88) != multiplication(domain(antidomain(X_4)),antidomain(X_88))
| domain_difference(antidomain(X_4),X_88) = multiplication(c(X_4),antidomain(X_88)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_182,refute_0_271]) ).
cnf(refute_0_273,plain,
domain_difference(antidomain(X_4),X_88) = multiplication(c(X_4),antidomain(X_88)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_4),X_88),multiplication(domain(antidomain(X_4)),antidomain(X_88))) )],[refute_0_270,refute_0_272]) ).
cnf(refute_0_274,plain,
( domain_difference(antidomain(X_4),X_88) != multiplication(c(X_4),antidomain(X_88))
| multiplication(c(X_4),antidomain(X_88)) = domain_difference(antidomain(X_4),X_88) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain_difference(antidomain(X_4),X_88))),bind(Y,$fot(multiplication(c(X_4),antidomain(X_88))))]]) ).
cnf(refute_0_275,plain,
multiplication(c(X_4),antidomain(X_88)) = domain_difference(antidomain(X_4),X_88),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_4),X_88),multiplication(c(X_4),antidomain(X_88))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
multiplication(c(X0),antidomain(X0)) = domain_difference(antidomain(X0),X0),
inference(subst,[],[refute_0_275:[bind(X_4,$fot(X0)),bind(X_88,$fot(X0))]]) ).
cnf(refute_0_277,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))]]) ).
cnf(refute_0_278,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_279,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(c(X0),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(c(X0),antidomain(X0)),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_178,refute_0_279]) ).
cnf(refute_0_281,plain,
( multiplication(antidomain(domain(X0)),antidomain(X0)) != multiplication(c(X0),antidomain(X0))
| multiplication(c(X0),antidomain(X0)) != domain_difference(antidomain(X0),X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = domain_difference(antidomain(X0),X0) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))),bind(Y,$fot(multiplication(c(X0),antidomain(X0)))),bind(Z,$fot(domain_difference(antidomain(X0),X0)))]]) ).
cnf(refute_0_282,plain,
( multiplication(c(X0),antidomain(X0)) != domain_difference(antidomain(X0),X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = domain_difference(antidomain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),multiplication(c(X0),antidomain(X0))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = domain_difference(antidomain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(c(X0),antidomain(X0)),domain_difference(antidomain(X0),X0)) )],[refute_0_276,refute_0_282]) ).
cnf(refute_0_284,plain,
( c(X0) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),antidomain(X0)) != domain_difference(antidomain(X0),X0)
| c(X0) = domain_difference(antidomain(X0),X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(X0),domain_difference(antidomain(X0),X0)) ),[0],$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))]]) ).
cnf(refute_0_285,plain,
( c(X0) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = domain_difference(antidomain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),domain_difference(antidomain(X0),X0)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
( multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = domain_difference(antidomain(X0),X0) ),
inference(resolve,[$cnf( $equal(c(X0),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_269,refute_0_285]) ).
cnf(refute_0_287,plain,
c(X0) = domain_difference(antidomain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_263,refute_0_286]) ).
cnf(refute_0_288,plain,
c(X_724) = domain_difference(antidomain(X_724),X_724),
inference(subst,[],[refute_0_287:[bind(X0,$fot(X_724))]]) ).
cnf(refute_0_289,plain,
( c(X_724) != domain_difference(antidomain(X_724),X_724)
| domain_difference(antidomain(X_724),X_724) = c(X_724) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c(X_724))),bind(Y,$fot(domain_difference(antidomain(X_724),X_724)))]]) ).
cnf(refute_0_290,plain,
domain_difference(antidomain(X_724),X_724) = c(X_724),
inference(resolve,[$cnf( $equal(c(X_724),domain_difference(antidomain(X_724),X_724)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
( domain_difference(antidomain(X_724),X_724) != c(X_724)
| ~ leq(domain_difference(antidomain(X_724),X_724),antidomain(X_724))
| leq(c(X_724),antidomain(X_724)) ),
introduced(tautology,[equality,[$cnf( leq(domain_difference(antidomain(X_724),X_724),antidomain(X_724)) ),[0],$fot(c(X_724))]]) ).
cnf(refute_0_292,plain,
( ~ leq(domain_difference(antidomain(X_724),X_724),antidomain(X_724))
| leq(c(X_724),antidomain(X_724)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_724),X_724),c(X_724)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
leq(c(X_724),antidomain(X_724)),
inference(resolve,[$cnf( leq(domain_difference(antidomain(X_724),X_724),antidomain(X_724)) )],[refute_0_259,refute_0_292]) ).
cnf(refute_0_294,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_295,plain,
( ~ leq(c(X_724),antidomain(X_724))
| addition(c(X_724),antidomain(X_724)) = antidomain(X_724) ),
inference(subst,[],[refute_0_294:[bind(A,$fot(c(X_724))),bind(B,$fot(antidomain(X_724)))]]) ).
cnf(refute_0_296,plain,
addition(c(X_724),antidomain(X_724)) = antidomain(X_724),
inference(resolve,[$cnf( leq(c(X_724),antidomain(X_724)) )],[refute_0_293,refute_0_295]) ).
cnf(refute_0_297,plain,
addition(antidomain(multiplication(one,X_245)),antidomain(multiplication(one,domain(X_245)))) = antidomain(multiplication(one,domain(X_245))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(one)),bind(X1,$fot(X_245))]]) ).
cnf(refute_0_298,plain,
multiplication(one,domain(X_245)) = domain(X_245),
inference(subst,[],[refute_0_140:[bind(A,$fot(domain(X_245)))]]) ).
cnf(refute_0_299,plain,
( addition(antidomain(multiplication(one,X_245)),antidomain(multiplication(one,domain(X_245)))) != antidomain(multiplication(one,domain(X_245)))
| multiplication(one,domain(X_245)) != domain(X_245)
| addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) = antidomain(multiplication(one,domain(X_245))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_245)),antidomain(multiplication(one,domain(X_245)))),antidomain(multiplication(one,domain(X_245)))) ),[0,1,0],$fot(domain(X_245))]]) ).
cnf(refute_0_300,plain,
( addition(antidomain(multiplication(one,X_245)),antidomain(multiplication(one,domain(X_245)))) != antidomain(multiplication(one,domain(X_245)))
| addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) = antidomain(multiplication(one,domain(X_245))) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_245)),domain(X_245)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) = antidomain(multiplication(one,domain(X_245))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_245)),antidomain(multiplication(one,domain(X_245)))),antidomain(multiplication(one,domain(X_245)))) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
addition(c(X_245),antidomain(X_245)) = addition(antidomain(X_245),c(X_245)),
inference(subst,[],[refute_0_66:[bind(A,$fot(antidomain(X_245))),bind(B,$fot(c(X_245)))]]) ).
cnf(refute_0_303,plain,
multiplication(one,X_245) = X_245,
inference(subst,[],[refute_0_140:[bind(A,$fot(X_245))]]) ).
cnf(refute_0_304,plain,
antidomain(multiplication(one,X_245)) = antidomain(multiplication(one,X_245)),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,X_245)))]]) ).
cnf(refute_0_305,plain,
( antidomain(multiplication(one,X_245)) != antidomain(multiplication(one,X_245))
| multiplication(one,X_245) != X_245
| antidomain(multiplication(one,X_245)) = antidomain(X_245) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,X_245)),antidomain(multiplication(one,X_245))) ),[1,0],$fot(X_245)]]) ).
cnf(refute_0_306,plain,
( multiplication(one,X_245) != X_245
| antidomain(multiplication(one,X_245)) = antidomain(X_245) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_245)),antidomain(multiplication(one,X_245))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
antidomain(multiplication(one,X_245)) = antidomain(X_245),
inference(resolve,[$cnf( $equal(multiplication(one,X_245),X_245) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
addition(c(X_245),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(multiplication(one,X_245))),
introduced(tautology,[refl,[$fot(addition(c(X_245),antidomain(multiplication(one,X_245))))]]) ).
cnf(refute_0_309,plain,
( addition(c(X_245),antidomain(multiplication(one,X_245))) != addition(c(X_245),antidomain(multiplication(one,X_245)))
| antidomain(multiplication(one,X_245)) != antidomain(X_245)
| addition(c(X_245),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(X_245)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_245),antidomain(multiplication(one,X_245))),addition(c(X_245),antidomain(multiplication(one,X_245)))) ),[1,1],$fot(antidomain(X_245))]]) ).
cnf(refute_0_310,plain,
( antidomain(multiplication(one,X_245)) != antidomain(X_245)
| addition(c(X_245),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(X_245)) ),
inference(resolve,[$cnf( $equal(addition(c(X_245),antidomain(multiplication(one,X_245))),addition(c(X_245),antidomain(multiplication(one,X_245)))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
addition(c(X_245),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(X_245)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_245)),antidomain(X_245)) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
antidomain(domain(X_245)) = c(X_245),
inference(subst,[],[refute_0_178:[bind(X0,$fot(X_245))]]) ).
cnf(refute_0_313,plain,
addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))))]]) ).
cnf(refute_0_314,plain,
( addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) != addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245)))
| antidomain(domain(X_245)) != c(X_245)
| addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(multiplication(one,X_245))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))),addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245)))) ),[1,0],$fot(c(X_245))]]) ).
cnf(refute_0_315,plain,
( antidomain(domain(X_245)) != c(X_245)
| addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(multiplication(one,X_245))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))),addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(multiplication(one,X_245))),
inference(resolve,[$cnf( $equal(antidomain(domain(X_245)),c(X_245)) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
( addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) != addition(c(X_245),antidomain(multiplication(one,X_245)))
| addition(c(X_245),antidomain(multiplication(one,X_245))) != addition(c(X_245),antidomain(X_245))
| addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(X_245)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))))),bind(Y,$fot(addition(c(X_245),antidomain(multiplication(one,X_245))))),bind(Z,$fot(addition(c(X_245),antidomain(X_245))))]]) ).
cnf(refute_0_318,plain,
( addition(c(X_245),antidomain(multiplication(one,X_245))) != addition(c(X_245),antidomain(X_245))
| addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(X_245)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))),addition(c(X_245),antidomain(multiplication(one,X_245)))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(c(X_245),antidomain(X_245)),
inference(resolve,[$cnf( $equal(addition(c(X_245),antidomain(multiplication(one,X_245))),addition(c(X_245),antidomain(X_245))) )],[refute_0_311,refute_0_318]) ).
cnf(refute_0_320,plain,
( addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) != addition(c(X_245),antidomain(X_245))
| addition(c(X_245),antidomain(X_245)) != addition(antidomain(X_245),c(X_245))
| addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(antidomain(X_245),c(X_245)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))))),bind(Y,$fot(addition(c(X_245),antidomain(X_245)))),bind(Z,$fot(addition(antidomain(X_245),c(X_245))))]]) ).
cnf(refute_0_321,plain,
( addition(c(X_245),antidomain(X_245)) != addition(antidomain(X_245),c(X_245))
| addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(antidomain(X_245),c(X_245)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))),addition(c(X_245),antidomain(X_245))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) = addition(antidomain(X_245),c(X_245)),
inference(resolve,[$cnf( $equal(addition(c(X_245),antidomain(X_245)),addition(antidomain(X_245),c(X_245))) )],[refute_0_302,refute_0_321]) ).
cnf(refute_0_323,plain,
addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) = addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))),
inference(subst,[],[refute_0_66:[bind(A,$fot(antidomain(domain(X_245)))),bind(B,$fot(antidomain(multiplication(one,X_245))))]]) ).
cnf(refute_0_324,plain,
( addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) != addition(antidomain(X_245),c(X_245))
| addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) != addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245)))
| addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) = addition(antidomain(X_245),c(X_245)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))))),bind(Y,$fot(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))))),bind(Z,$fot(addition(antidomain(X_245),c(X_245))))]]) ).
cnf(refute_0_325,plain,
( addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))) != addition(antidomain(X_245),c(X_245))
| addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) = addition(antidomain(X_245),c(X_245)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))),addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245)))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) = addition(antidomain(X_245),c(X_245)),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_245)),antidomain(multiplication(one,X_245))),addition(antidomain(X_245),c(X_245))) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
( addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) != addition(antidomain(X_245),c(X_245))
| addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) != antidomain(multiplication(one,domain(X_245)))
| addition(antidomain(X_245),c(X_245)) = antidomain(multiplication(one,domain(X_245))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))),antidomain(multiplication(one,domain(X_245)))) ),[0],$fot(addition(antidomain(X_245),c(X_245)))]]) ).
cnf(refute_0_328,plain,
( addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) != antidomain(multiplication(one,domain(X_245)))
| addition(antidomain(X_245),c(X_245)) = antidomain(multiplication(one,domain(X_245))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))),addition(antidomain(X_245),c(X_245))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
antidomain(multiplication(one,domain(X_245))) = antidomain(multiplication(one,domain(X_245))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,domain(X_245))))]]) ).
cnf(refute_0_330,plain,
( antidomain(multiplication(one,domain(X_245))) != antidomain(multiplication(one,domain(X_245)))
| multiplication(one,domain(X_245)) != domain(X_245)
| antidomain(multiplication(one,domain(X_245))) = antidomain(domain(X_245)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,domain(X_245))),antidomain(multiplication(one,domain(X_245)))) ),[1,0],$fot(domain(X_245))]]) ).
cnf(refute_0_331,plain,
( multiplication(one,domain(X_245)) != domain(X_245)
| antidomain(multiplication(one,domain(X_245))) = antidomain(domain(X_245)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_245))),antidomain(multiplication(one,domain(X_245)))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
antidomain(multiplication(one,domain(X_245))) = antidomain(domain(X_245)),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_245)),domain(X_245)) )],[refute_0_298,refute_0_331]) ).
cnf(refute_0_333,plain,
( antidomain(domain(X_245)) != c(X_245)
| antidomain(multiplication(one,domain(X_245))) != antidomain(domain(X_245))
| antidomain(multiplication(one,domain(X_245))) = c(X_245) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(multiplication(one,domain(X_245))))),bind(Y,$fot(antidomain(domain(X_245)))),bind(Z,$fot(c(X_245)))]]) ).
cnf(refute_0_334,plain,
( antidomain(domain(X_245)) != c(X_245)
| antidomain(multiplication(one,domain(X_245))) = c(X_245) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_245))),antidomain(domain(X_245))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
antidomain(multiplication(one,domain(X_245))) = c(X_245),
inference(resolve,[$cnf( $equal(antidomain(domain(X_245)),c(X_245)) )],[refute_0_312,refute_0_334]) ).
cnf(refute_0_336,plain,
( addition(antidomain(X_245),c(X_245)) != antidomain(multiplication(one,domain(X_245)))
| antidomain(multiplication(one,domain(X_245))) != c(X_245)
| addition(antidomain(X_245),c(X_245)) = c(X_245) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_245),c(X_245)),c(X_245)) ),[0],$fot(antidomain(multiplication(one,domain(X_245))))]]) ).
cnf(refute_0_337,plain,
( addition(antidomain(X_245),c(X_245)) != antidomain(multiplication(one,domain(X_245)))
| addition(antidomain(X_245),c(X_245)) = c(X_245) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_245))),c(X_245)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
( addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))) != antidomain(multiplication(one,domain(X_245)))
| addition(antidomain(X_245),c(X_245)) = c(X_245) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_245),c(X_245)),antidomain(multiplication(one,domain(X_245)))) )],[refute_0_328,refute_0_337]) ).
cnf(refute_0_339,plain,
addition(antidomain(X_245),c(X_245)) = c(X_245),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_245)),antidomain(domain(X_245))),antidomain(multiplication(one,domain(X_245)))) )],[refute_0_301,refute_0_338]) ).
cnf(refute_0_340,plain,
addition(antidomain(X_724),c(X_724)) = c(X_724),
inference(subst,[],[refute_0_339:[bind(X_245,$fot(X_724))]]) ).
cnf(refute_0_341,plain,
addition(c(X_724),antidomain(X_724)) = addition(antidomain(X_724),c(X_724)),
inference(subst,[],[refute_0_66:[bind(A,$fot(antidomain(X_724))),bind(B,$fot(c(X_724)))]]) ).
cnf(refute_0_342,plain,
( addition(antidomain(X_724),c(X_724)) != c(X_724)
| addition(c(X_724),antidomain(X_724)) != addition(antidomain(X_724),c(X_724))
| addition(c(X_724),antidomain(X_724)) = c(X_724) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(c(X_724),antidomain(X_724)))),bind(Y,$fot(addition(antidomain(X_724),c(X_724)))),bind(Z,$fot(c(X_724)))]]) ).
cnf(refute_0_343,plain,
( addition(antidomain(X_724),c(X_724)) != c(X_724)
| addition(c(X_724),antidomain(X_724)) = c(X_724) ),
inference(resolve,[$cnf( $equal(addition(c(X_724),antidomain(X_724)),addition(antidomain(X_724),c(X_724))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
addition(c(X_724),antidomain(X_724)) = c(X_724),
inference(resolve,[$cnf( $equal(addition(antidomain(X_724),c(X_724)),c(X_724)) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
( addition(c(X_724),antidomain(X_724)) != antidomain(X_724)
| addition(c(X_724),antidomain(X_724)) != c(X_724)
| c(X_724) = antidomain(X_724) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_724),antidomain(X_724)),antidomain(X_724)) ),[0],$fot(c(X_724))]]) ).
cnf(refute_0_346,plain,
( addition(c(X_724),antidomain(X_724)) != antidomain(X_724)
| c(X_724) = antidomain(X_724) ),
inference(resolve,[$cnf( $equal(addition(c(X_724),antidomain(X_724)),c(X_724)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
c(X_724) = antidomain(X_724),
inference(resolve,[$cnf( $equal(addition(c(X_724),antidomain(X_724)),antidomain(X_724)) )],[refute_0_296,refute_0_346]) ).
cnf(refute_0_348,plain,
c(X_4) = antidomain(X_4),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(X_4))]]) ).
cnf(refute_0_349,plain,
multiplication(c(X_4),domain(X_93)) = multiplication(c(X_4),domain(X_93)),
introduced(tautology,[refl,[$fot(multiplication(c(X_4),domain(X_93)))]]) ).
cnf(refute_0_350,plain,
( c(X_4) != antidomain(X_4)
| multiplication(c(X_4),domain(X_93)) != multiplication(c(X_4),domain(X_93))
| multiplication(c(X_4),domain(X_93)) = multiplication(antidomain(X_4),domain(X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(X_4),domain(X_93)),multiplication(c(X_4),domain(X_93))) ),[1,0],$fot(antidomain(X_4))]]) ).
cnf(refute_0_351,plain,
( c(X_4) != antidomain(X_4)
| multiplication(c(X_4),domain(X_93)) = multiplication(antidomain(X_4),domain(X_93)) ),
inference(resolve,[$cnf( $equal(multiplication(c(X_4),domain(X_93)),multiplication(c(X_4),domain(X_93))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
multiplication(c(X_4),domain(X_93)) = multiplication(antidomain(X_4),domain(X_93)),
inference(resolve,[$cnf( $equal(c(X_4),antidomain(X_4)) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
( domain_difference(antidomain(X_4),antidomain(X_93)) != multiplication(c(X_4),domain(X_93))
| multiplication(c(X_4),domain(X_93)) != multiplication(antidomain(X_4),domain(X_93))
| domain_difference(antidomain(X_4),antidomain(X_93)) = multiplication(antidomain(X_4),domain(X_93)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(antidomain(X_4),antidomain(X_93)),multiplication(antidomain(X_4),domain(X_93))) ),[0],$fot(multiplication(c(X_4),domain(X_93)))]]) ).
cnf(refute_0_354,plain,
( domain_difference(antidomain(X_4),antidomain(X_93)) != multiplication(c(X_4),domain(X_93))
| domain_difference(antidomain(X_4),antidomain(X_93)) = multiplication(antidomain(X_4),domain(X_93)) ),
inference(resolve,[$cnf( $equal(multiplication(c(X_4),domain(X_93)),multiplication(antidomain(X_4),domain(X_93))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
domain_difference(antidomain(X_4),antidomain(X_93)) = multiplication(antidomain(X_4),domain(X_93)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_4),antidomain(X_93)),multiplication(c(X_4),domain(X_93))) )],[refute_0_185,refute_0_354]) ).
cnf(refute_0_356,plain,
( domain_difference(antidomain(X_4),antidomain(X_93)) != multiplication(antidomain(X_4),domain(X_93))
| multiplication(antidomain(X_4),domain(X_93)) = domain_difference(antidomain(X_4),antidomain(X_93)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain_difference(antidomain(X_4),antidomain(X_93)))),bind(Y,$fot(multiplication(antidomain(X_4),domain(X_93))))]]) ).
cnf(refute_0_357,plain,
multiplication(antidomain(X_4),domain(X_93)) = domain_difference(antidomain(X_4),antidomain(X_93)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_4),antidomain(X_93)),multiplication(antidomain(X_4),domain(X_93))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)) = domain_difference(antidomain(addition(X_396,addition(X_284,X_397))),antidomain(X_284)),
inference(subst,[],[refute_0_357:[bind(X_4,$fot(addition(X_396,addition(X_284,X_397)))),bind(X_93,$fot(X_284))]]) ).
cnf(refute_0_359,plain,
( multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)) != domain_difference(antidomain(addition(X_396,addition(X_284,X_397))),antidomain(X_284))
| multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)) != zero
| domain_difference(antidomain(addition(X_396,addition(X_284,X_397))),antidomain(X_284)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)),zero) ),[0],$fot(domain_difference(antidomain(addition(X_396,addition(X_284,X_397))),antidomain(X_284)))]]) ).
cnf(refute_0_360,plain,
( multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)) != zero
| domain_difference(antidomain(addition(X_396,addition(X_284,X_397))),antidomain(X_284)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)),domain_difference(antidomain(addition(X_396,addition(X_284,X_397))),antidomain(X_284))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
domain_difference(antidomain(addition(X_396,addition(X_284,X_397))),antidomain(X_284)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_396,addition(X_284,X_397))),domain(X_284)),zero) )],[refute_0_162,refute_0_360]) ).
cnf(refute_0_362,plain,
domain_difference(antidomain(addition(X_4238,addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),antidomain(domain(skolemFOFtoCNF_X2))) = zero,
inference(subst,[],[refute_0_361:[bind(X_284,$fot(domain(skolemFOFtoCNF_X2))),bind(X_396,$fot(X_4238)),bind(X_397,$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_363,plain,
multiplication(addition(X_206,one),X_208) = addition(multiplication(X_206,X_208),multiplication(one,X_208)),
inference(subst,[],[refute_0_202:[bind(A,$fot(X_206)),bind(B,$fot(one)),bind(C,$fot(X_208))]]) ).
cnf(refute_0_364,plain,
( multiplication(addition(X_206,one),X_208) != addition(multiplication(X_206,X_208),multiplication(one,X_208))
| multiplication(one,X_208) != X_208
| multiplication(addition(X_206,one),X_208) = addition(multiplication(X_206,X_208),X_208) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_206,one),X_208),addition(multiplication(X_206,X_208),multiplication(one,X_208))) ),[1,1],$fot(X_208)]]) ).
cnf(refute_0_365,plain,
( multiplication(addition(X_206,one),X_208) != addition(multiplication(X_206,X_208),multiplication(one,X_208))
| multiplication(addition(X_206,one),X_208) = addition(multiplication(X_206,X_208),X_208) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_208),X_208) )],[refute_0_204,refute_0_364]) ).
cnf(refute_0_366,plain,
multiplication(addition(X_206,one),X_208) = addition(multiplication(X_206,X_208),X_208),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,one),X_208),addition(multiplication(X_206,X_208),multiplication(one,X_208))) )],[refute_0_363,refute_0_365]) ).
cnf(refute_0_367,plain,
addition(multiplication(X_206,X_208),X_208) = addition(X_208,multiplication(X_206,X_208)),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_208)),bind(B,$fot(multiplication(X_206,X_208)))]]) ).
cnf(refute_0_368,plain,
( addition(multiplication(X_206,X_208),X_208) != addition(X_208,multiplication(X_206,X_208))
| multiplication(addition(X_206,one),X_208) != addition(multiplication(X_206,X_208),X_208)
| multiplication(addition(X_206,one),X_208) = addition(X_208,multiplication(X_206,X_208)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_206,one),X_208),addition(multiplication(X_206,X_208),X_208)) ),[1],$fot(addition(X_208,multiplication(X_206,X_208)))]]) ).
cnf(refute_0_369,plain,
( multiplication(addition(X_206,one),X_208) != addition(multiplication(X_206,X_208),X_208)
| multiplication(addition(X_206,one),X_208) = addition(X_208,multiplication(X_206,X_208)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_206,X_208),X_208),addition(X_208,multiplication(X_206,X_208))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiplication(addition(X_206,one),X_208) = addition(X_208,multiplication(X_206,X_208)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,one),X_208),addition(multiplication(X_206,X_208),X_208)) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),multiplication(domain(X0),antidomain(X1))),
inference(subst,[],[refute_0_370:[bind(X_206,$fot(domain(X0))),bind(X_208,$fot(antidomain(X1)))]]) ).
cnf(refute_0_372,plain,
( domain_difference(X0,X1) != multiplication(domain(X0),antidomain(X1))
| multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain_difference(X0,X1))),bind(Y,$fot(multiplication(domain(X0),antidomain(X1))))]]) ).
cnf(refute_0_373,plain,
multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(resolve,[$cnf( $equal(domain_difference(X0,X1),multiplication(domain(X0),antidomain(X1))) )],[refute_0_163,refute_0_372]) ).
cnf(refute_0_374,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))
| multiplication(domain(X0),antidomain(X1)) != domain_difference(X0,X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))) ),[1,1],$fot(domain_difference(X0,X1))]]) ).
cnf(refute_0_375,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))
| multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),antidomain(X1)),domain_difference(X0,X1)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))) )],[refute_0_371,refute_0_375]) ).
cnf(refute_0_377,plain,
multiplication(one,antidomain(X1)) = antidomain(X1),
inference(subst,[],[refute_0_140:[bind(A,$fot(antidomain(X1)))]]) ).
cnf(refute_0_378,plain,
addition(one,domain(X0)) = one,
inference(subst,[],[refute_0_238:[bind(X_142,$fot(X0))]]) ).
cnf(refute_0_379,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(addition(one,domain(X0)),antidomain(X1)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))]]) ).
cnf(refute_0_380,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),antidomain(X1)) != multiplication(addition(one,domain(X0)),antidomain(X1))
| multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_381,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
( multiplication(addition(one,domain(X0)),antidomain(X1)) != multiplication(one,antidomain(X1))
| multiplication(one,antidomain(X1)) != antidomain(X1)
| multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))),bind(Y,$fot(multiplication(one,antidomain(X1)))),bind(Z,$fot(antidomain(X1)))]]) ).
cnf(refute_0_384,plain,
( multiplication(one,antidomain(X1)) != antidomain(X1)
| multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(one,antidomain(X1))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X1)),antidomain(X1)) )],[refute_0_377,refute_0_384]) ).
cnf(refute_0_386,plain,
addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) = addition(multiplication(X_206,X_208),multiplication(X_207,X_208)),
inference(subst,[],[refute_0_64:[bind(A,$fot(multiplication(X_207,X_208))),bind(B,$fot(multiplication(X_206,X_208)))]]) ).
cnf(refute_0_387,plain,
multiplication(addition(X_206,X_207),X_208) = addition(multiplication(X_206,X_208),multiplication(X_207,X_208)),
inference(subst,[],[refute_0_202:[bind(A,$fot(X_206)),bind(B,$fot(X_207)),bind(C,$fot(X_208))]]) ).
cnf(refute_0_388,plain,
( multiplication(addition(X_206,X_207),X_208) != addition(multiplication(X_206,X_208),multiplication(X_207,X_208))
| addition(multiplication(X_206,X_208),multiplication(X_207,X_208)) = multiplication(addition(X_206,X_207),X_208) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(addition(X_206,X_207),X_208))),bind(Y,$fot(addition(multiplication(X_206,X_208),multiplication(X_207,X_208))))]]) ).
cnf(refute_0_389,plain,
addition(multiplication(X_206,X_208),multiplication(X_207,X_208)) = multiplication(addition(X_206,X_207),X_208),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),X_208),addition(multiplication(X_206,X_208),multiplication(X_207,X_208))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
( addition(multiplication(X_206,X_208),multiplication(X_207,X_208)) != multiplication(addition(X_206,X_207),X_208)
| addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) != addition(multiplication(X_206,X_208),multiplication(X_207,X_208))
| addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) = multiplication(addition(X_206,X_207),X_208) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_207,X_208),multiplication(X_206,X_208)),addition(multiplication(X_206,X_208),multiplication(X_207,X_208))) ),[1],$fot(multiplication(addition(X_206,X_207),X_208))]]) ).
cnf(refute_0_391,plain,
( addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) != addition(multiplication(X_206,X_208),multiplication(X_207,X_208))
| addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) = multiplication(addition(X_206,X_207),X_208) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_206,X_208),multiplication(X_207,X_208)),multiplication(addition(X_206,X_207),X_208)) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) = multiplication(addition(X_206,X_207),X_208),
inference(resolve,[$cnf( $equal(addition(multiplication(X_207,X_208),multiplication(X_206,X_208)),addition(multiplication(X_206,X_208),multiplication(X_207,X_208))) )],[refute_0_386,refute_0_391]) ).
cnf(refute_0_393,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_394,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_202,refute_0_393]) ).
cnf(refute_0_395,plain,
addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) = multiplication(addition(X_207,X_206),X_208),
inference(subst,[],[refute_0_394:[bind(A,$fot(X_207)),bind(B,$fot(X_206)),bind(C,$fot(X_208))]]) ).
cnf(refute_0_396,plain,
( addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) != multiplication(addition(X_206,X_207),X_208)
| addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) != multiplication(addition(X_207,X_206),X_208)
| multiplication(addition(X_207,X_206),X_208) = multiplication(addition(X_206,X_207),X_208) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_207,X_208),multiplication(X_206,X_208)),multiplication(addition(X_206,X_207),X_208)) ),[0],$fot(multiplication(addition(X_207,X_206),X_208))]]) ).
cnf(refute_0_397,plain,
( addition(multiplication(X_207,X_208),multiplication(X_206,X_208)) != multiplication(addition(X_206,X_207),X_208)
| multiplication(addition(X_207,X_206),X_208) = multiplication(addition(X_206,X_207),X_208) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_207,X_208),multiplication(X_206,X_208)),multiplication(addition(X_207,X_206),X_208)) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiplication(addition(X_207,X_206),X_208) = multiplication(addition(X_206,X_207),X_208),
inference(resolve,[$cnf( $equal(addition(multiplication(X_207,X_208),multiplication(X_206,X_208)),multiplication(addition(X_206,X_207),X_208)) )],[refute_0_392,refute_0_397]) ).
cnf(refute_0_399,plain,
( multiplication(addition(X_207,X_206),X_208) != multiplication(addition(X_206,X_207),X_208)
| multiplication(addition(X_206,X_207),X_208) = multiplication(addition(X_207,X_206),X_208) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(addition(X_207,X_206),X_208))),bind(Y,$fot(multiplication(addition(X_206,X_207),X_208)))]]) ).
cnf(refute_0_400,plain,
multiplication(addition(X_206,X_207),X_208) = multiplication(addition(X_207,X_206),X_208),
inference(resolve,[$cnf( $equal(multiplication(addition(X_207,X_206),X_208),multiplication(addition(X_206,X_207),X_208)) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = multiplication(addition(one,domain(X0)),antidomain(X1)),
inference(subst,[],[refute_0_400:[bind(X_206,$fot(domain(X0))),bind(X_207,$fot(one)),bind(X_208,$fot(antidomain(X1)))]]) ).
cnf(refute_0_402,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != multiplication(addition(one,domain(X0)),antidomain(X1))
| multiplication(addition(one,domain(X0)),antidomain(X1)) != antidomain(X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(addition(domain(X0),one),antidomain(X1)))),bind(Y,$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))),bind(Z,$fot(antidomain(X1)))]]) ).
cnf(refute_0_403,plain,
( multiplication(addition(one,domain(X0)),antidomain(X1)) != antidomain(X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),antidomain(X1)) )],[refute_0_385,refute_0_403]) ).
cnf(refute_0_405,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),domain_difference(X0,X1))
| multiplication(addition(domain(X0),one),antidomain(X1)) != antidomain(X1)
| antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),domain_difference(X0,X1))) ),[0],$fot(antidomain(X1))]]) ).
cnf(refute_0_406,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),domain_difference(X0,X1))
| antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),antidomain(X1)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),domain_difference(X0,X1))) )],[refute_0_376,refute_0_406]) ).
cnf(refute_0_408,plain,
antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_407:[bind(X0,$fot(skolemFOFtoCNF_X2)),bind(X1,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_409,plain,
multiplication(domain(X0),addition(X_128,antidomain(X1))) = addition(multiplication(domain(X0),X_128),multiplication(domain(X0),antidomain(X1))),
inference(subst,[],[refute_0_29:[bind(A,$fot(domain(X0))),bind(B,$fot(X_128)),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_410,plain,
( multiplication(domain(X0),addition(X_128,antidomain(X1))) != addition(multiplication(domain(X0),X_128),multiplication(domain(X0),antidomain(X1)))
| multiplication(domain(X0),antidomain(X1)) != domain_difference(X0,X1)
| multiplication(domain(X0),addition(X_128,antidomain(X1))) = addition(multiplication(domain(X0),X_128),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),addition(X_128,antidomain(X1))),addition(multiplication(domain(X0),X_128),multiplication(domain(X0),antidomain(X1)))) ),[1,1],$fot(domain_difference(X0,X1))]]) ).
cnf(refute_0_411,plain,
( multiplication(domain(X0),addition(X_128,antidomain(X1))) != addition(multiplication(domain(X0),X_128),multiplication(domain(X0),antidomain(X1)))
| multiplication(domain(X0),addition(X_128,antidomain(X1))) = addition(multiplication(domain(X0),X_128),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),antidomain(X1)),domain_difference(X0,X1)) )],[refute_0_373,refute_0_410]) ).
cnf(refute_0_412,plain,
multiplication(domain(X0),addition(X_128,antidomain(X1))) = addition(multiplication(domain(X0),X_128),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(X_128,antidomain(X1))),addition(multiplication(domain(X0),X_128),multiplication(domain(X0),antidomain(X1)))) )],[refute_0_409,refute_0_411]) ).
cnf(refute_0_413,plain,
multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_412:[bind(X0,$fot(skolemFOFtoCNF_X2)),bind(X1,$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),bind(X_128,$fot(X_2387))]]) ).
cnf(refute_0_414,plain,
multiplication(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_415,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1))) = addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))),
inference(subst,[],[refute_0_66:[bind(A,$fot(antidomain(forward_diamond(X0,X1)))),bind(B,$fot(antidomain(multiplication(X0,X1))))]]) ).
cnf(refute_0_416,plain,
c(multiplication(X_47,domain(X_48))) = antidomain(domain(multiplication(X_47,domain(X_48)))),
inference(subst,[],[refute_0_176:[bind(X0,$fot(multiplication(X_47,domain(X_48))))]]) ).
cnf(refute_0_417,plain,
forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_418,plain,
forward_diamond(X_47,X_48) = domain(multiplication(X_47,domain(X_48))),
inference(subst,[],[refute_0_417:[bind(X0,$fot(X_47)),bind(X1,$fot(X_48))]]) ).
cnf(refute_0_419,plain,
( forward_diamond(X_47,X_48) != domain(multiplication(X_47,domain(X_48)))
| domain(multiplication(X_47,domain(X_48))) = forward_diamond(X_47,X_48) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_diamond(X_47,X_48))),bind(Y,$fot(domain(multiplication(X_47,domain(X_48)))))]]) ).
cnf(refute_0_420,plain,
domain(multiplication(X_47,domain(X_48))) = forward_diamond(X_47,X_48),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,X_48),domain(multiplication(X_47,domain(X_48)))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
( c(multiplication(X_47,domain(X_48))) != antidomain(domain(multiplication(X_47,domain(X_48))))
| domain(multiplication(X_47,domain(X_48))) != forward_diamond(X_47,X_48)
| c(multiplication(X_47,domain(X_48))) = antidomain(forward_diamond(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_47,domain(X_48))),antidomain(domain(multiplication(X_47,domain(X_48))))) ),[1,0],$fot(forward_diamond(X_47,X_48))]]) ).
cnf(refute_0_422,plain,
( c(multiplication(X_47,domain(X_48))) != antidomain(domain(multiplication(X_47,domain(X_48))))
| c(multiplication(X_47,domain(X_48))) = antidomain(forward_diamond(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_47,domain(X_48))),forward_diamond(X_47,X_48)) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
c(multiplication(X_47,domain(X_48))) = antidomain(forward_diamond(X_47,X_48)),
inference(resolve,[$cnf( $equal(c(multiplication(X_47,domain(X_48))),antidomain(domain(multiplication(X_47,domain(X_48))))) )],[refute_0_416,refute_0_422]) ).
cnf(refute_0_424,plain,
c(multiplication(X_47,domain(X_48))) = antidomain(multiplication(X_47,domain(X_48))),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(multiplication(X_47,domain(X_48))))]]) ).
cnf(refute_0_425,plain,
( c(multiplication(X_47,domain(X_48))) != antidomain(forward_diamond(X_47,X_48))
| c(multiplication(X_47,domain(X_48))) != antidomain(multiplication(X_47,domain(X_48)))
| antidomain(multiplication(X_47,domain(X_48))) = antidomain(forward_diamond(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_47,domain(X_48))),antidomain(forward_diamond(X_47,X_48))) ),[0],$fot(antidomain(multiplication(X_47,domain(X_48))))]]) ).
cnf(refute_0_426,plain,
( c(multiplication(X_47,domain(X_48))) != antidomain(forward_diamond(X_47,X_48))
| antidomain(multiplication(X_47,domain(X_48))) = antidomain(forward_diamond(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_47,domain(X_48))),antidomain(multiplication(X_47,domain(X_48)))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
antidomain(multiplication(X_47,domain(X_48))) = antidomain(forward_diamond(X_47,X_48)),
inference(resolve,[$cnf( $equal(c(multiplication(X_47,domain(X_48))),antidomain(forward_diamond(X_47,X_48))) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
antidomain(multiplication(X0,domain(X1))) = antidomain(forward_diamond(X0,X1)),
inference(subst,[],[refute_0_427:[bind(X_47,$fot(X0)),bind(X_48,$fot(X1))]]) ).
cnf(refute_0_429,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_430,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| antidomain(multiplication(X0,domain(X1))) != antidomain(forward_diamond(X0,X1))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) ),[1,1],$fot(antidomain(forward_diamond(X0,X1)))]]) ).
cnf(refute_0_431,plain,
( antidomain(multiplication(X0,domain(X1))) != antidomain(forward_diamond(X0,X1))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,domain(X1))),antidomain(forward_diamond(X0,X1))) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1))) != addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))))),bind(Y,$fot(addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1))))),bind(Z,$fot(addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1)))))]]) ).
cnf(refute_0_434,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1))) != addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(forward_diamond(X0,X1))),addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1)))) )],[refute_0_415,refute_0_434]) ).
cnf(refute_0_436,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) ),[0],$fot(addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))))]]) ).
cnf(refute_0_437,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1)))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
( addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) != antidomain(multiplication(X0,domain(X1)))
| antidomain(multiplication(X0,domain(X1))) != antidomain(forward_diamond(X0,X1))
| addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) = antidomain(forward_diamond(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))),antidomain(forward_diamond(X0,X1))) ),[0],$fot(antidomain(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_439,plain,
( addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) = antidomain(forward_diamond(X0,X1)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,domain(X1))),antidomain(forward_diamond(X0,X1))) )],[refute_0_428,refute_0_438]) ).
cnf(refute_0_440,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) = antidomain(forward_diamond(X0,X1)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_437,refute_0_439]) ).
cnf(refute_0_441,plain,
addition(antidomain(forward_diamond(X0,X1)),antidomain(multiplication(X0,X1))) = antidomain(forward_diamond(X0,X1)),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_27,refute_0_440]) ).
cnf(refute_0_442,plain,
addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_441:[bind(X0,$fot(domain(skolemFOFtoCNF_X2))),bind(X1,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_443,plain,
forward_diamond(multiplication(X_186,X_187),X1) = domain(multiplication(multiplication(X_186,X_187),domain(X1))),
inference(subst,[],[refute_0_417:[bind(X0,$fot(multiplication(X_186,X_187)))]]) ).
cnf(refute_0_444,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_445,plain,
multiplication(X_186,multiplication(X_187,domain(X1))) = multiplication(multiplication(X_186,X_187),domain(X1)),
inference(subst,[],[refute_0_444:[bind(A,$fot(X_186)),bind(B,$fot(X_187)),bind(C,$fot(domain(X1)))]]) ).
cnf(refute_0_446,plain,
( multiplication(X_186,multiplication(X_187,domain(X1))) != multiplication(multiplication(X_186,X_187),domain(X1))
| multiplication(multiplication(X_186,X_187),domain(X1)) = multiplication(X_186,multiplication(X_187,domain(X1))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(X_186,multiplication(X_187,domain(X1))))),bind(Y,$fot(multiplication(multiplication(X_186,X_187),domain(X1))))]]) ).
cnf(refute_0_447,plain,
multiplication(multiplication(X_186,X_187),domain(X1)) = multiplication(X_186,multiplication(X_187,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X_186,multiplication(X_187,domain(X1))),multiplication(multiplication(X_186,X_187),domain(X1))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
( forward_diamond(multiplication(X_186,X_187),X1) != domain(multiplication(multiplication(X_186,X_187),domain(X1)))
| multiplication(multiplication(X_186,X_187),domain(X1)) != multiplication(X_186,multiplication(X_187,domain(X1)))
| forward_diamond(multiplication(X_186,X_187),X1) = domain(multiplication(X_186,multiplication(X_187,domain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(multiplication(X_186,X_187),X1),domain(multiplication(multiplication(X_186,X_187),domain(X1)))) ),[1,0],$fot(multiplication(X_186,multiplication(X_187,domain(X1))))]]) ).
cnf(refute_0_449,plain,
( forward_diamond(multiplication(X_186,X_187),X1) != domain(multiplication(multiplication(X_186,X_187),domain(X1)))
| forward_diamond(multiplication(X_186,X_187),X1) = domain(multiplication(X_186,multiplication(X_187,domain(X1)))) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_186,X_187),domain(X1)),multiplication(X_186,multiplication(X_187,domain(X1)))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
forward_diamond(multiplication(X_186,X_187),X1) = domain(multiplication(X_186,multiplication(X_187,domain(X1)))),
inference(resolve,[$cnf( $equal(forward_diamond(multiplication(X_186,X_187),X1),domain(multiplication(multiplication(X_186,X_187),domain(X1)))) )],[refute_0_443,refute_0_449]) ).
cnf(refute_0_451,plain,
forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(multiplication(X_186,multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
inference(subst,[],[refute_0_450:[bind(X1,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),bind(X_187,$fot(codomain(domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_452,plain,
multiplication(antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))))]]) ).
cnf(refute_0_453,plain,
addition(antidomain(multiplication(X_244,multiplication(X_187,coantidomain(multiplication(X_244,X_187))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_244)),bind(X1,$fot(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))]]) ).
cnf(refute_0_454,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_455,plain,
multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))) = zero,
inference(subst,[],[refute_0_454:[bind(X0,$fot(multiplication(X_186,X_187)))]]) ).
cnf(refute_0_456,plain,
multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))) = multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))),
inference(subst,[],[refute_0_444:[bind(A,$fot(X_186)),bind(B,$fot(X_187)),bind(C,$fot(coantidomain(multiplication(X_186,X_187))))]]) ).
cnf(refute_0_457,plain,
( multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))) != multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187)))
| multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))) = multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))))),bind(Y,$fot(multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187)))))]]) ).
cnf(refute_0_458,plain,
multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))) = multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))),
inference(resolve,[$cnf( $equal(multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))),multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187)))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
( multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))) != multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187))))
| multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))) != zero
| multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))),zero) ),[0],$fot(multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))))]]) ).
cnf(refute_0_460,plain,
( multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))) != zero
| multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))),multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187))))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
multiplication(X_186,multiplication(X_187,coantidomain(multiplication(X_186,X_187)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_186,X_187),coantidomain(multiplication(X_186,X_187))),zero) )],[refute_0_455,refute_0_460]) ).
cnf(refute_0_462,plain,
multiplication(X_244,multiplication(X_187,coantidomain(multiplication(X_244,X_187)))) = zero,
inference(subst,[],[refute_0_461:[bind(X_186,$fot(X_244))]]) ).
cnf(refute_0_463,plain,
( addition(antidomain(multiplication(X_244,multiplication(X_187,coantidomain(multiplication(X_244,X_187))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))
| multiplication(X_244,multiplication(X_187,coantidomain(multiplication(X_244,X_187)))) != zero
| addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_244,multiplication(X_187,coantidomain(multiplication(X_244,X_187))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_464,plain,
( addition(antidomain(multiplication(X_244,multiplication(X_187,coantidomain(multiplication(X_244,X_187))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))
| addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))) ),
inference(resolve,[$cnf( $equal(multiplication(X_244,multiplication(X_187,coantidomain(multiplication(X_244,X_187)))),zero) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_244,multiplication(X_187,coantidomain(multiplication(X_244,X_187))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) )],[refute_0_453,refute_0_464]) ).
cnf(refute_0_466,plain,
addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = one,
inference(subst,[],[refute_0_87:[bind(X0,$fot(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))))]]) ).
cnf(refute_0_467,plain,
addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))))]]) ).
cnf(refute_0_468,plain,
( addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_469,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_121,refute_0_469]) ).
cnf(refute_0_471,plain,
( addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))))
| addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != one
| addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = one ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))))),bind(Y,$fot(addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_472,plain,
( addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != one
| addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) = one,
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),one) )],[refute_0_466,refute_0_472]) ).
cnf(refute_0_474,plain,
( addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))
| addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != one
| one = antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_475,plain,
( addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) != antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))
| one = antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),one) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
one = antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187)))))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))),antidomain(multiplication(X_244,domain(multiplication(X_187,coantidomain(multiplication(X_244,X_187))))))) )],[refute_0_465,refute_0_475]) ).
cnf(refute_0_477,plain,
one = antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),
inference(subst,[],[refute_0_476:[bind(X_187,$fot(X_322)),bind(X_244,$fot(X_323))]]) ).
cnf(refute_0_478,plain,
( one != antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322))))))
| antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322))))))))]]) ).
cnf(refute_0_479,plain,
antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322))))))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
( antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) != one
| multiplication(antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) != zero
| multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_481,plain,
( multiplication(antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) != zero
| multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),one) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),zero) )],[refute_0_452,refute_0_481]) ).
cnf(refute_0_483,plain,
multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) = multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322))))),
inference(subst,[],[refute_0_140:[bind(A,$fot(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))))]]) ).
cnf(refute_0_484,plain,
( multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) != multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))
| multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) != zero
| multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),zero) ),[0],$fot(multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322))))))]]) ).
cnf(refute_0_485,plain,
( multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) != zero
| multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322))))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_323,domain(multiplication(X_322,coantidomain(multiplication(X_323,X_322)))))),zero) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = zero,
inference(subst,[],[refute_0_486:[bind(X_322,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),bind(X_323,$fot(codomain(domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_488,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) = multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),C),
inference(subst,[],[refute_0_444:[bind(A,$fot(codomain(domain(skolemFOFtoCNF_X2)))),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_489,plain,
multiplication(X_127,addition(X_128,coantidomain(X_127))) = addition(multiplication(X_127,X_128),multiplication(X_127,coantidomain(X_127))),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_127)),bind(B,$fot(X_128)),bind(C,$fot(coantidomain(X_127)))]]) ).
cnf(refute_0_490,plain,
multiplication(X_127,coantidomain(X_127)) = zero,
inference(subst,[],[refute_0_454:[bind(X0,$fot(X_127))]]) ).
cnf(refute_0_491,plain,
( multiplication(X_127,addition(X_128,coantidomain(X_127))) != addition(multiplication(X_127,X_128),multiplication(X_127,coantidomain(X_127)))
| multiplication(X_127,coantidomain(X_127)) != zero
| multiplication(X_127,addition(X_128,coantidomain(X_127))) = addition(multiplication(X_127,X_128),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_127,addition(X_128,coantidomain(X_127))),addition(multiplication(X_127,X_128),multiplication(X_127,coantidomain(X_127)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_492,plain,
( multiplication(X_127,addition(X_128,coantidomain(X_127))) != addition(multiplication(X_127,X_128),multiplication(X_127,coantidomain(X_127)))
| multiplication(X_127,addition(X_128,coantidomain(X_127))) = addition(multiplication(X_127,X_128),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_127,coantidomain(X_127)),zero) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
multiplication(X_127,addition(X_128,coantidomain(X_127))) = addition(multiplication(X_127,X_128),zero),
inference(resolve,[$cnf( $equal(multiplication(X_127,addition(X_128,coantidomain(X_127))),addition(multiplication(X_127,X_128),multiplication(X_127,coantidomain(X_127)))) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
addition(multiplication(X_127,X_128),zero) = multiplication(X_127,X_128),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(X_127,X_128)))]]) ).
cnf(refute_0_495,plain,
( addition(multiplication(X_127,X_128),zero) != multiplication(X_127,X_128)
| multiplication(X_127,addition(X_128,coantidomain(X_127))) != addition(multiplication(X_127,X_128),zero)
| multiplication(X_127,addition(X_128,coantidomain(X_127))) = multiplication(X_127,X_128) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_127,addition(X_128,coantidomain(X_127))),addition(multiplication(X_127,X_128),zero)) ),[1],$fot(multiplication(X_127,X_128))]]) ).
cnf(refute_0_496,plain,
( multiplication(X_127,addition(X_128,coantidomain(X_127))) != addition(multiplication(X_127,X_128),zero)
| multiplication(X_127,addition(X_128,coantidomain(X_127))) = multiplication(X_127,X_128) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_127,X_128),zero),multiplication(X_127,X_128)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
multiplication(X_127,addition(X_128,coantidomain(X_127))) = multiplication(X_127,X_128),
inference(resolve,[$cnf( $equal(multiplication(X_127,addition(X_128,coantidomain(X_127))),addition(multiplication(X_127,X_128),zero)) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) = multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_497:[bind(X_127,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),bind(X_128,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_499,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_207:[bind(X_207,$fot(domain(skolemFOFtoCNF_X1))),bind(X_208,$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_500,plain,
multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) = addition(multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),multiplication(domain(skolemFOFtoCNF_X1),X_129)),
inference(subst,[],[refute_0_29:[bind(A,$fot(domain(skolemFOFtoCNF_X1))),bind(B,$fot(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),bind(C,$fot(X_129))]]) ).
cnf(refute_0_501,plain,
multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = zero,
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_502,plain,
( multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) != addition(multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),multiplication(domain(skolemFOFtoCNF_X1),X_129))
| multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != zero
| multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) = addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)),addition(multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),multiplication(domain(skolemFOFtoCNF_X1),X_129))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_503,plain,
( multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) != addition(multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),multiplication(domain(skolemFOFtoCNF_X1),X_129))
| multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) = addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),zero) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) = addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129)),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)),addition(multiplication(domain(skolemFOFtoCNF_X1),backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),multiplication(domain(skolemFOFtoCNF_X1),X_129))) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_64:[bind(B,$fot(zero))]]) ).
cnf(refute_0_506,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_507,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_35,refute_0_507]) ).
cnf(refute_0_509,plain,
addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129)) = multiplication(domain(skolemFOFtoCNF_X1),X_129),
inference(subst,[],[refute_0_508:[bind(A,$fot(multiplication(domain(skolemFOFtoCNF_X1),X_129)))]]) ).
cnf(refute_0_510,plain,
( addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129)) != multiplication(domain(skolemFOFtoCNF_X1),X_129)
| multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) != addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129))
| multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) = multiplication(domain(skolemFOFtoCNF_X1),X_129) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)),addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129))) ),[1],$fot(multiplication(domain(skolemFOFtoCNF_X1),X_129))]]) ).
cnf(refute_0_511,plain,
( multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) != addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129))
| multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) = multiplication(domain(skolemFOFtoCNF_X1),X_129) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129)),multiplication(domain(skolemFOFtoCNF_X1),X_129)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)) = multiplication(domain(skolemFOFtoCNF_X1),X_129),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),X_129)),addition(zero,multiplication(domain(skolemFOFtoCNF_X1),X_129))) )],[refute_0_504,refute_0_511]) ).
cnf(refute_0_513,plain,
multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) = multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_512:[bind(X_129,$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_514,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_515,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(subst,[],[refute_0_66:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_516,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_517,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_520,plain,
( codomain(X0) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_521,plain,
coantidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_523,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_524,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_521,refute_0_524]) ).
cnf(refute_0_526,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).
cnf(refute_0_527,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
addition(coantidomain(X0),codomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_518,refute_0_527]) ).
cnf(refute_0_529,plain,
addition(coantidomain(multiplication(codomain(X1),X0)),codomain(multiplication(codomain(X1),X0))) = one,
inference(subst,[],[refute_0_528:[bind(X0,$fot(multiplication(codomain(X1),X0)))]]) ).
cnf(refute_0_530,plain,
backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_531,plain,
( backward_diamond(X0,X1) != codomain(multiplication(codomain(X1),X0))
| codomain(multiplication(codomain(X1),X0)) = backward_diamond(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(backward_diamond(X0,X1))),bind(Y,$fot(codomain(multiplication(codomain(X1),X0))))]]) ).
cnf(refute_0_532,plain,
codomain(multiplication(codomain(X1),X0)) = backward_diamond(X0,X1),
inference(resolve,[$cnf( $equal(backward_diamond(X0,X1),codomain(multiplication(codomain(X1),X0))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
( addition(coantidomain(multiplication(codomain(X1),X0)),codomain(multiplication(codomain(X1),X0))) != one
| codomain(multiplication(codomain(X1),X0)) != backward_diamond(X0,X1)
| addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(codomain(X1),X0)),codomain(multiplication(codomain(X1),X0))),one) ),[0,1],$fot(backward_diamond(X0,X1))]]) ).
cnf(refute_0_534,plain,
( addition(coantidomain(multiplication(codomain(X1),X0)),codomain(multiplication(codomain(X1),X0))) != one
| addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) = one ),
inference(resolve,[$cnf( $equal(codomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(codomain(X1),X0)),codomain(multiplication(codomain(X1),X0))),one) )],[refute_0_529,refute_0_534]) ).
cnf(refute_0_536,plain,
addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) = addition(backward_diamond(X0,X1),coantidomain(multiplication(codomain(X1),X0))),
inference(subst,[],[refute_0_66:[bind(A,$fot(backward_diamond(X0,X1))),bind(B,$fot(coantidomain(multiplication(codomain(X1),X0))))]]) ).
cnf(refute_0_537,plain,
( addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) != addition(backward_diamond(X0,X1),coantidomain(multiplication(codomain(X1),X0)))
| addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) != one
| addition(backward_diamond(X0,X1),coantidomain(multiplication(codomain(X1),X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)),one) ),[0],$fot(addition(backward_diamond(X0,X1),coantidomain(multiplication(codomain(X1),X0))))]]) ).
cnf(refute_0_538,plain,
( addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)) != one
| addition(backward_diamond(X0,X1),coantidomain(multiplication(codomain(X1),X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)),addition(backward_diamond(X0,X1),coantidomain(multiplication(codomain(X1),X0)))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
addition(backward_diamond(X0,X1),coantidomain(multiplication(codomain(X1),X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(codomain(X1),X0)),backward_diamond(X0,X1)),one) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = one,
inference(subst,[],[refute_0_539:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_541,plain,
( addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != one
| multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) != multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| multiplication(domain(skolemFOFtoCNF_X1),one) = multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_542,plain,
( multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) != multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| multiplication(domain(skolemFOFtoCNF_X1),one) = multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),one) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
multiplication(domain(skolemFOFtoCNF_X1),one) = multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(backward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) )],[refute_0_513,refute_0_542]) ).
cnf(refute_0_544,plain,
multiplication(domain(skolemFOFtoCNF_X1),one) = domain(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_92:[bind(A,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_545,plain,
( multiplication(domain(skolemFOFtoCNF_X1),one) != domain(skolemFOFtoCNF_X1)
| multiplication(domain(skolemFOFtoCNF_X1),one) != multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| domain(skolemFOFtoCNF_X1) = multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),one),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) ),[0],$fot(domain(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_546,plain,
( multiplication(domain(skolemFOFtoCNF_X1),one) != multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| domain(skolemFOFtoCNF_X1) = multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),one),domain(skolemFOFtoCNF_X1)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
domain(skolemFOFtoCNF_X1) = multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),one),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) )],[refute_0_543,refute_0_546]) ).
cnf(refute_0_548,plain,
( domain(skolemFOFtoCNF_X1) != multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = domain(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(skolemFOFtoCNF_X1))),bind(Y,$fot(multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_549,plain,
multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = domain(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))
| multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != domain(skolemFOFtoCNF_X1)
| multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))) ),[1,1],$fot(domain(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_551,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))
| multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))) )],[refute_0_499,refute_0_551]) ).
cnf(refute_0_553,plain,
multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_140:[bind(A,$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_554,plain,
addition(one,domain(skolemFOFtoCNF_X1)) = one,
inference(subst,[],[refute_0_238:[bind(X_142,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_555,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_556,plain,
( addition(one,domain(skolemFOFtoCNF_X1)) != one
| multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_557,plain,
( addition(one,domain(skolemFOFtoCNF_X1)) != one
| multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(addition(one,domain(skolemFOFtoCNF_X1)),one) )],[refute_0_554,refute_0_557]) ).
cnf(refute_0_559,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))
| multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))),bind(Y,$fot(multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))),bind(Z,$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_560,plain,
( multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))
| multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) )],[refute_0_553,refute_0_560]) ).
cnf(refute_0_562,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))
| coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) = addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),[0],$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_563,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) = addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_66:[bind(A,$fot(domain(skolemFOFtoCNF_X1))),bind(B,$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_565,plain,
( addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) != addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) != addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),[1],$fot(addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_566,plain,
( coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) != addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),addition(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_552,refute_0_567]) ).
cnf(refute_0_569,plain,
( coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) != addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))
| addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))),bind(Y,$fot(addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_570,plain,
addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)),addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
( addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))
| multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))),multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) ),[0,1],$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_572,plain,
( multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))) != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),addition(domain(skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))),multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) )],[refute_0_498,refute_0_572]) ).
cnf(refute_0_574,plain,
multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) = zero,
inference(subst,[],[refute_0_454:[bind(X0,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_575,plain,
( multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != zero
| zero = multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) ),[0],$fot(zero)]]) ).
cnf(refute_0_576,plain,
( multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| zero = multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),zero) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_578,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_444,refute_0_577]) ).
cnf(refute_0_579,plain,
multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_578:[bind(A,$fot(codomain(domain(skolemFOFtoCNF_X2)))),bind(B,$fot(skolemFOFtoCNF_X0)),bind(C,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_580,plain,
( multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| zero != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| zero = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) ),[1],$fot(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_581,plain,
( zero != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| zero = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
( multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))) != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| zero = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(zero,multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) )],[refute_0_576,refute_0_581]) ).
cnf(refute_0_583,plain,
zero = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0))),multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) )],[refute_0_573,refute_0_582]) ).
cnf(refute_0_584,plain,
( zero != multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_585,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),C)
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) = multiplication(zero,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)),multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),C)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_587,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) != multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),C)
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) = multiplication(zero,C) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) = multiplication(zero,C),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)),multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),C)) )],[refute_0_488,refute_0_587]) ).
cnf(refute_0_589,plain,
multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C) = multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C)),
inference(subst,[],[refute_0_578:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_590,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)),
introduced(tautology,[refl,[$fot(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)))]]) ).
cnf(refute_0_591,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) != multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C))
| multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C) != multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)),multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C)))]]) ).
cnf(refute_0_592,plain,
( multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C) != multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)),multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) != multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C)))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) != multiplication(zero,C)
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) = multiplication(zero,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)),multiplication(zero,C)) ),[0],$fot(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))))]]) ).
cnf(refute_0_595,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) != multiplication(zero,C)
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) = multiplication(zero,C) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)),multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C)))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_597,plain,
multiplication(zero,C) = zero,
inference(subst,[],[refute_0_596:[bind(A,$fot(C))]]) ).
cnf(refute_0_598,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) != multiplication(zero,C)
| multiplication(zero,C) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))),zero) ),[0],$fot(multiplication(zero,C))]]) ).
cnf(refute_0_599,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) != multiplication(zero,C)
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,C),zero) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)) != multiplication(zero,C)
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))),multiplication(zero,C)) )],[refute_0_595,refute_0_599]) ).
cnf(refute_0_601,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),C))) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),C)),multiplication(zero,C)) )],[refute_0_588,refute_0_600]) ).
cnf(refute_0_602,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1))) = zero,
inference(subst,[],[refute_0_601:[bind(C,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_603,plain,
multiplication(addition(antidomain(X_208),X_207),X_208) = addition(multiplication(antidomain(X_208),X_208),multiplication(X_207,X_208)),
inference(subst,[],[refute_0_202:[bind(A,$fot(antidomain(X_208))),bind(B,$fot(X_207)),bind(C,$fot(X_208))]]) ).
cnf(refute_0_604,plain,
multiplication(antidomain(X_208),X_208) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_208))]]) ).
cnf(refute_0_605,plain,
( multiplication(addition(antidomain(X_208),X_207),X_208) != addition(multiplication(antidomain(X_208),X_208),multiplication(X_207,X_208))
| multiplication(antidomain(X_208),X_208) != zero
| multiplication(addition(antidomain(X_208),X_207),X_208) = addition(zero,multiplication(X_207,X_208)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_208),X_207),X_208),addition(multiplication(antidomain(X_208),X_208),multiplication(X_207,X_208))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_606,plain,
( multiplication(addition(antidomain(X_208),X_207),X_208) != addition(multiplication(antidomain(X_208),X_208),multiplication(X_207,X_208))
| multiplication(addition(antidomain(X_208),X_207),X_208) = addition(zero,multiplication(X_207,X_208)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_208),X_208),zero) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
multiplication(addition(antidomain(X_208),X_207),X_208) = addition(zero,multiplication(X_207,X_208)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_208),X_207),X_208),addition(multiplication(antidomain(X_208),X_208),multiplication(X_207,X_208))) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
addition(zero,multiplication(X_207,X_208)) = multiplication(X_207,X_208),
inference(subst,[],[refute_0_508:[bind(A,$fot(multiplication(X_207,X_208)))]]) ).
cnf(refute_0_609,plain,
( addition(zero,multiplication(X_207,X_208)) != multiplication(X_207,X_208)
| multiplication(addition(antidomain(X_208),X_207),X_208) != addition(zero,multiplication(X_207,X_208))
| multiplication(addition(antidomain(X_208),X_207),X_208) = multiplication(X_207,X_208) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_208),X_207),X_208),addition(zero,multiplication(X_207,X_208))) ),[1],$fot(multiplication(X_207,X_208))]]) ).
cnf(refute_0_610,plain,
( multiplication(addition(antidomain(X_208),X_207),X_208) != addition(zero,multiplication(X_207,X_208))
| multiplication(addition(antidomain(X_208),X_207),X_208) = multiplication(X_207,X_208) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_207,X_208)),multiplication(X_207,X_208)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
multiplication(addition(antidomain(X_208),X_207),X_208) = multiplication(X_207,X_208),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_208),X_207),X_208),addition(zero,multiplication(X_207,X_208))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
multiplication(addition(antidomain(X_978),domain(X_978)),X_978) = multiplication(domain(X_978),X_978),
inference(subst,[],[refute_0_611:[bind(X_207,$fot(domain(X_978))),bind(X_208,$fot(X_978))]]) ).
cnf(refute_0_613,plain,
addition(antidomain(X_978),domain(X_978)) = one,
inference(subst,[],[refute_0_77:[bind(X0,$fot(X_978))]]) ).
cnf(refute_0_614,plain,
( addition(antidomain(X_978),domain(X_978)) != one
| multiplication(addition(antidomain(X_978),domain(X_978)),X_978) != multiplication(domain(X_978),X_978)
| multiplication(one,X_978) = multiplication(domain(X_978),X_978) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_978),domain(X_978)),X_978),multiplication(domain(X_978),X_978)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_615,plain,
( multiplication(addition(antidomain(X_978),domain(X_978)),X_978) != multiplication(domain(X_978),X_978)
| multiplication(one,X_978) = multiplication(domain(X_978),X_978) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_978),domain(X_978)),one) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
multiplication(one,X_978) = multiplication(domain(X_978),X_978),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_978),domain(X_978)),X_978),multiplication(domain(X_978),X_978)) )],[refute_0_612,refute_0_615]) ).
cnf(refute_0_617,plain,
multiplication(one,X_978) = X_978,
inference(subst,[],[refute_0_140:[bind(A,$fot(X_978))]]) ).
cnf(refute_0_618,plain,
( multiplication(one,X_978) != X_978
| multiplication(one,X_978) != multiplication(domain(X_978),X_978)
| X_978 = multiplication(domain(X_978),X_978) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_978),multiplication(domain(X_978),X_978)) ),[0],$fot(X_978)]]) ).
cnf(refute_0_619,plain,
( multiplication(one,X_978) != multiplication(domain(X_978),X_978)
| X_978 = multiplication(domain(X_978),X_978) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_978),X_978) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
X_978 = multiplication(domain(X_978),X_978),
inference(resolve,[$cnf( $equal(multiplication(one,X_978),multiplication(domain(X_978),X_978)) )],[refute_0_616,refute_0_619]) ).
cnf(refute_0_621,plain,
skolemFOFtoCNF_X1 = multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_620:[bind(X_978,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_622,plain,
( skolemFOFtoCNF_X1 != multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1)
| multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_X1)),bind(Y,$fot(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_623,plain,
multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1))) != zero
| multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1) != skolemFOFtoCNF_X1
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1))),zero) ),[0,1,1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_625,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1))) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),skolemFOFtoCNF_X1) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1))),zero) )],[refute_0_602,refute_0_625]) ).
cnf(refute_0_627,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),zero) ),[0,1,0,1,0],$fot(zero)]]) ).
cnf(refute_0_628,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),zero) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),zero) )],[refute_0_487,refute_0_628]) ).
cnf(refute_0_630,plain,
multiplication(skolemFOFtoCNF_X1,one) = skolemFOFtoCNF_X1,
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_631,plain,
addition(zero,coantidomain(zero)) = addition(coantidomain(zero),zero),
inference(subst,[],[refute_0_64:[bind(A,$fot(zero)),bind(B,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_632,plain,
addition(coantidomain(one),codomain(one)) = one,
inference(subst,[],[refute_0_528:[bind(X0,$fot(one))]]) ).
cnf(refute_0_633,plain,
codomain(one) = coantidomain(coantidomain(one)),
inference(subst,[],[refute_0_519:[bind(X0,$fot(one))]]) ).
cnf(refute_0_634,plain,
multiplication(one,coantidomain(one)) = zero,
inference(subst,[],[refute_0_454:[bind(X0,$fot(one))]]) ).
cnf(refute_0_635,plain,
multiplication(one,coantidomain(one)) = coantidomain(one),
inference(subst,[],[refute_0_140:[bind(A,$fot(coantidomain(one)))]]) ).
cnf(refute_0_636,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| multiplication(one,coantidomain(one)) != zero
| coantidomain(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) ),[0],$fot(coantidomain(one))]]) ).
cnf(refute_0_637,plain,
( multiplication(one,coantidomain(one)) != zero
| coantidomain(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
coantidomain(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) )],[refute_0_634,refute_0_637]) ).
cnf(refute_0_639,plain,
( coantidomain(one) != zero
| codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_640,plain,
( codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
codomain(one) = coantidomain(zero),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) )],[refute_0_633,refute_0_640]) ).
cnf(refute_0_642,plain,
( addition(coantidomain(one),codomain(one)) != one
| codomain(one) != coantidomain(zero)
| addition(coantidomain(one),coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) ),[0,1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_643,plain,
( addition(coantidomain(one),codomain(one)) != one
| addition(coantidomain(one),coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
addition(coantidomain(one),coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) )],[refute_0_632,refute_0_643]) ).
cnf(refute_0_645,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(coantidomain(one),coantidomain(zero)),
introduced(tautology,[refl,[$fot(addition(coantidomain(one),coantidomain(zero)))]]) ).
cnf(refute_0_646,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_647,plain,
( coantidomain(one) != zero
| addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_638,refute_0_647]) ).
cnf(refute_0_649,plain,
( addition(coantidomain(one),coantidomain(zero)) != addition(zero,coantidomain(zero))
| addition(coantidomain(one),coantidomain(zero)) != one
| addition(zero,coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) ),[0],$fot(addition(zero,coantidomain(zero)))]]) ).
cnf(refute_0_650,plain,
( addition(coantidomain(one),coantidomain(zero)) != one
| addition(zero,coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(zero,coantidomain(zero))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
addition(zero,coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) )],[refute_0_644,refute_0_650]) ).
cnf(refute_0_652,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| addition(zero,coantidomain(zero)) != one
| one = addition(coantidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_653,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| one = addition(coantidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),one) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
one = addition(coantidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) )],[refute_0_631,refute_0_653]) ).
cnf(refute_0_655,plain,
addition(coantidomain(zero),zero) = coantidomain(zero),
inference(subst,[],[refute_0_35:[bind(A,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_656,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_657,plain,
( one != addition(coantidomain(zero),zero)
| one = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),zero),coantidomain(zero)) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
one = coantidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(coantidomain(zero),zero)) )],[refute_0_654,refute_0_657]) ).
cnf(refute_0_659,plain,
( one != coantidomain(zero)
| coantidomain(zero) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_660,plain,
coantidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(zero)) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) = multiplication(skolemFOFtoCNF_X1,coantidomain(zero)),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X1,coantidomain(zero)))]]) ).
cnf(refute_0_662,plain,
( coantidomain(zero) != one
| multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) != multiplication(skolemFOFtoCNF_X1,coantidomain(zero))
| multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) = multiplication(skolemFOFtoCNF_X1,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1,coantidomain(zero)),multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_663,plain,
( coantidomain(zero) != one
| multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) = multiplication(skolemFOFtoCNF_X1,one) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1,coantidomain(zero)),multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) = multiplication(skolemFOFtoCNF_X1,one),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_660,refute_0_663]) ).
cnf(refute_0_665,plain,
( multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) != multiplication(skolemFOFtoCNF_X1,one)
| multiplication(skolemFOFtoCNF_X1,one) != skolemFOFtoCNF_X1
| multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) = skolemFOFtoCNF_X1 ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(skolemFOFtoCNF_X1,coantidomain(zero)))),bind(Y,$fot(multiplication(skolemFOFtoCNF_X1,one))),bind(Z,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_666,plain,
( multiplication(skolemFOFtoCNF_X1,one) != skolemFOFtoCNF_X1
| multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1,coantidomain(zero)),multiplication(skolemFOFtoCNF_X1,one)) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1,one),skolemFOFtoCNF_X1) )],[refute_0_630,refute_0_666]) ).
cnf(refute_0_668,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) = multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))))]]) ).
cnf(refute_0_669,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) != multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero)))
| multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) != skolemFOFtoCNF_X1
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero)))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_670,plain,
( multiplication(skolemFOFtoCNF_X1,coantidomain(zero)) != skolemFOFtoCNF_X1
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero)))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1,coantidomain(zero)),skolemFOFtoCNF_X1) )],[refute_0_667,refute_0_670]) ).
cnf(refute_0_672,plain,
multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)) = multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))),
inference(subst,[],[refute_0_578:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(skolemFOFtoCNF_X1)),bind(C,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_673,plain,
( multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)) != multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero)))
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))),bind(Y,$fot(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))))),bind(Z,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_674,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero)))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,coantidomain(zero))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_671,refute_0_674]) ).
cnf(refute_0_676,plain,
domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))) = domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))),
introduced(tautology,[refl,[$fot(domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))))]]) ).
cnf(refute_0_677,plain,
( domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))) != domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))
| multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))) = domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) ),[1,0],$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_678,plain,
( multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))) = domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))) = domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))),
introduced(tautology,[refl,[$fot(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))))]]) ).
cnf(refute_0_681,plain,
( domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))) != domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) != multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))),multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))))) ),[1,1],$fot(domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_682,plain,
( domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))) != domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))),multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) = multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero))),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_679,refute_0_682]) ).
cnf(refute_0_684,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) != multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))),zero) ),[0],$fot(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_685,plain,
( multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))),multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),coantidomain(zero)))),zero) )],[refute_0_629,refute_0_685]) ).
cnf(refute_0_687,plain,
( forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(multiplication(X_186,multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != zero
| forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(multiplication(X_186,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(X_186,multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_688,plain,
( forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(multiplication(X_186,multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(multiplication(X_186,zero)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),zero) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(multiplication(X_186,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(X_186,multiplication(codomain(domain(skolemFOFtoCNF_X2)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_451,refute_0_688]) ).
cnf(refute_0_690,plain,
domain(antidomain(one)) = c(one),
inference(subst,[],[refute_0_182:[bind(X_4,$fot(one))]]) ).
cnf(refute_0_691,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_692,plain,
( domain(antidomain(one)) != c(one)
| domain(zero) = c(one) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_99,refute_0_691]) ).
cnf(refute_0_693,plain,
domain(zero) = c(one),
inference(resolve,[$cnf( $equal(domain(antidomain(one)),c(one)) )],[refute_0_690,refute_0_692]) ).
cnf(refute_0_694,plain,
multiplication(antidomain(domain(X0)),domain(X0)) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(domain(X0)))]]) ).
cnf(refute_0_695,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),domain(X0)) != zero
| multiplication(c(X0),domain(X0)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),domain(X0)),zero) ),[0,0],$fot(c(X0))]]) ).
cnf(refute_0_696,plain,
( multiplication(antidomain(domain(X0)),domain(X0)) != zero
| multiplication(c(X0),domain(X0)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_178,refute_0_695]) ).
cnf(refute_0_697,plain,
multiplication(c(X0),domain(X0)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),domain(X0)),zero) )],[refute_0_694,refute_0_696]) ).
cnf(refute_0_698,plain,
multiplication(c(one),domain(one)) = zero,
inference(subst,[],[refute_0_697:[bind(X0,$fot(one))]]) ).
cnf(refute_0_699,plain,
( domain(one) != antidomain(zero)
| multiplication(c(one),domain(one)) != zero
| multiplication(c(one),antidomain(zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(one),domain(one)),zero) ),[0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_700,plain,
( multiplication(c(one),domain(one)) != zero
| multiplication(c(one),antidomain(zero)) = zero ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_102,refute_0_699]) ).
cnf(refute_0_701,plain,
multiplication(c(one),antidomain(zero)) = zero,
inference(resolve,[$cnf( $equal(multiplication(c(one),domain(one)),zero) )],[refute_0_698,refute_0_700]) ).
cnf(refute_0_702,plain,
multiplication(c(one),one) = c(one),
inference(subst,[],[refute_0_92:[bind(A,$fot(c(one)))]]) ).
cnf(refute_0_703,plain,
multiplication(c(one),antidomain(zero)) = multiplication(c(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(multiplication(c(one),antidomain(zero)))]]) ).
cnf(refute_0_704,plain,
( antidomain(zero) != one
| multiplication(c(one),antidomain(zero)) != multiplication(c(one),antidomain(zero))
| multiplication(c(one),antidomain(zero)) = multiplication(c(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(one),antidomain(zero)),multiplication(c(one),antidomain(zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_705,plain,
( antidomain(zero) != one
| multiplication(c(one),antidomain(zero)) = multiplication(c(one),one) ),
inference(resolve,[$cnf( $equal(multiplication(c(one),antidomain(zero)),multiplication(c(one),antidomain(zero))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
multiplication(c(one),antidomain(zero)) = multiplication(c(one),one),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_121,refute_0_705]) ).
cnf(refute_0_707,plain,
( multiplication(c(one),antidomain(zero)) != multiplication(c(one),one)
| multiplication(c(one),one) != c(one)
| multiplication(c(one),antidomain(zero)) = c(one) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(c(one),antidomain(zero)))),bind(Y,$fot(multiplication(c(one),one))),bind(Z,$fot(c(one)))]]) ).
cnf(refute_0_708,plain,
( multiplication(c(one),one) != c(one)
| multiplication(c(one),antidomain(zero)) = c(one) ),
inference(resolve,[$cnf( $equal(multiplication(c(one),antidomain(zero)),multiplication(c(one),one)) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
multiplication(c(one),antidomain(zero)) = c(one),
inference(resolve,[$cnf( $equal(multiplication(c(one),one),c(one)) )],[refute_0_702,refute_0_708]) ).
cnf(refute_0_710,plain,
( multiplication(c(one),antidomain(zero)) != c(one)
| multiplication(c(one),antidomain(zero)) != zero
| c(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(one),antidomain(zero)),zero) ),[0],$fot(c(one))]]) ).
cnf(refute_0_711,plain,
( multiplication(c(one),antidomain(zero)) != zero
| c(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(c(one),antidomain(zero)),c(one)) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
c(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(c(one),antidomain(zero)),zero) )],[refute_0_701,refute_0_711]) ).
cnf(refute_0_713,plain,
( c(one) != zero
| domain(zero) != c(one)
| domain(zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(domain(zero),c(one)) ),[1],$fot(zero)]]) ).
cnf(refute_0_714,plain,
( domain(zero) != c(one)
| domain(zero) = zero ),
inference(resolve,[$cnf( $equal(c(one),zero) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
domain(zero) = zero,
inference(resolve,[$cnf( $equal(domain(zero),c(one)) )],[refute_0_693,refute_0_714]) ).
cnf(refute_0_716,plain,
multiplication(A,zero) = zero,
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_717,plain,
multiplication(X_186,zero) = zero,
inference(subst,[],[refute_0_716:[bind(A,$fot(X_186))]]) ).
cnf(refute_0_718,plain,
domain(multiplication(X_186,zero)) = domain(multiplication(X_186,zero)),
introduced(tautology,[refl,[$fot(domain(multiplication(X_186,zero)))]]) ).
cnf(refute_0_719,plain,
( domain(multiplication(X_186,zero)) != domain(multiplication(X_186,zero))
| multiplication(X_186,zero) != zero
| domain(multiplication(X_186,zero)) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_186,zero)),domain(multiplication(X_186,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_720,plain,
( multiplication(X_186,zero) != zero
| domain(multiplication(X_186,zero)) = domain(zero) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_186,zero)),domain(multiplication(X_186,zero))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
domain(multiplication(X_186,zero)) = domain(zero),
inference(resolve,[$cnf( $equal(multiplication(X_186,zero),zero) )],[refute_0_717,refute_0_720]) ).
cnf(refute_0_722,plain,
( domain(multiplication(X_186,zero)) != domain(zero)
| domain(zero) != zero
| domain(multiplication(X_186,zero)) = zero ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain(multiplication(X_186,zero)))),bind(Y,$fot(domain(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_723,plain,
( domain(zero) != zero
| domain(multiplication(X_186,zero)) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_186,zero)),domain(zero)) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
domain(multiplication(X_186,zero)) = zero,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_715,refute_0_723]) ).
cnf(refute_0_725,plain,
( domain(multiplication(X_186,zero)) != zero
| forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(multiplication(X_186,zero))
| forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(X_186,zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_726,plain,
( forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(multiplication(X_186,zero))
| forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_186,zero)),zero) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(multiplication(X_186,codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(X_186,zero))) )],[refute_0_689,refute_0_726]) ).
cnf(refute_0_728,plain,
forward_diamond(multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero,
inference(subst,[],[refute_0_727:[bind(X_186,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_729,plain,
multiplication(X_127,addition(coantidomain(X_127),X_129)) = addition(multiplication(X_127,coantidomain(X_127)),multiplication(X_127,X_129)),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_127)),bind(B,$fot(coantidomain(X_127))),bind(C,$fot(X_129))]]) ).
cnf(refute_0_730,plain,
( multiplication(X_127,addition(coantidomain(X_127),X_129)) != addition(multiplication(X_127,coantidomain(X_127)),multiplication(X_127,X_129))
| multiplication(X_127,coantidomain(X_127)) != zero
| multiplication(X_127,addition(coantidomain(X_127),X_129)) = addition(zero,multiplication(X_127,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_127,addition(coantidomain(X_127),X_129)),addition(multiplication(X_127,coantidomain(X_127)),multiplication(X_127,X_129))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_731,plain,
( multiplication(X_127,addition(coantidomain(X_127),X_129)) != addition(multiplication(X_127,coantidomain(X_127)),multiplication(X_127,X_129))
| multiplication(X_127,addition(coantidomain(X_127),X_129)) = addition(zero,multiplication(X_127,X_129)) ),
inference(resolve,[$cnf( $equal(multiplication(X_127,coantidomain(X_127)),zero) )],[refute_0_490,refute_0_730]) ).
cnf(refute_0_732,plain,
multiplication(X_127,addition(coantidomain(X_127),X_129)) = addition(zero,multiplication(X_127,X_129)),
inference(resolve,[$cnf( $equal(multiplication(X_127,addition(coantidomain(X_127),X_129)),addition(multiplication(X_127,coantidomain(X_127)),multiplication(X_127,X_129))) )],[refute_0_729,refute_0_731]) ).
cnf(refute_0_733,plain,
addition(zero,multiplication(X_127,X_129)) = multiplication(X_127,X_129),
inference(subst,[],[refute_0_508:[bind(A,$fot(multiplication(X_127,X_129)))]]) ).
cnf(refute_0_734,plain,
( addition(zero,multiplication(X_127,X_129)) != multiplication(X_127,X_129)
| multiplication(X_127,addition(coantidomain(X_127),X_129)) != addition(zero,multiplication(X_127,X_129))
| multiplication(X_127,addition(coantidomain(X_127),X_129)) = multiplication(X_127,X_129) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_127,addition(coantidomain(X_127),X_129)),addition(zero,multiplication(X_127,X_129))) ),[1],$fot(multiplication(X_127,X_129))]]) ).
cnf(refute_0_735,plain,
( multiplication(X_127,addition(coantidomain(X_127),X_129)) != addition(zero,multiplication(X_127,X_129))
| multiplication(X_127,addition(coantidomain(X_127),X_129)) = multiplication(X_127,X_129) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_127,X_129)),multiplication(X_127,X_129)) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
multiplication(X_127,addition(coantidomain(X_127),X_129)) = multiplication(X_127,X_129),
inference(resolve,[$cnf( $equal(multiplication(X_127,addition(coantidomain(X_127),X_129)),addition(zero,multiplication(X_127,X_129))) )],[refute_0_732,refute_0_735]) ).
cnf(refute_0_737,plain,
multiplication(X_412,addition(coantidomain(X_412),codomain(X_412))) = multiplication(X_412,codomain(X_412)),
inference(subst,[],[refute_0_736:[bind(X_127,$fot(X_412)),bind(X_129,$fot(codomain(X_412)))]]) ).
cnf(refute_0_738,plain,
addition(coantidomain(X_412),codomain(X_412)) = one,
inference(subst,[],[refute_0_528:[bind(X0,$fot(X_412))]]) ).
cnf(refute_0_739,plain,
( addition(coantidomain(X_412),codomain(X_412)) != one
| multiplication(X_412,addition(coantidomain(X_412),codomain(X_412))) != multiplication(X_412,codomain(X_412))
| multiplication(X_412,one) = multiplication(X_412,codomain(X_412)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_412,addition(coantidomain(X_412),codomain(X_412))),multiplication(X_412,codomain(X_412))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_740,plain,
( multiplication(X_412,addition(coantidomain(X_412),codomain(X_412))) != multiplication(X_412,codomain(X_412))
| multiplication(X_412,one) = multiplication(X_412,codomain(X_412)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_412),codomain(X_412)),one) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
multiplication(X_412,one) = multiplication(X_412,codomain(X_412)),
inference(resolve,[$cnf( $equal(multiplication(X_412,addition(coantidomain(X_412),codomain(X_412))),multiplication(X_412,codomain(X_412))) )],[refute_0_737,refute_0_740]) ).
cnf(refute_0_742,plain,
multiplication(X_412,one) = X_412,
inference(subst,[],[refute_0_92:[bind(A,$fot(X_412))]]) ).
cnf(refute_0_743,plain,
( multiplication(X_412,one) != X_412
| multiplication(X_412,one) != multiplication(X_412,codomain(X_412))
| X_412 = multiplication(X_412,codomain(X_412)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_412,one),multiplication(X_412,codomain(X_412))) ),[0],$fot(X_412)]]) ).
cnf(refute_0_744,plain,
( multiplication(X_412,one) != multiplication(X_412,codomain(X_412))
| X_412 = multiplication(X_412,codomain(X_412)) ),
inference(resolve,[$cnf( $equal(multiplication(X_412,one),X_412) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
X_412 = multiplication(X_412,codomain(X_412)),
inference(resolve,[$cnf( $equal(multiplication(X_412,one),multiplication(X_412,codomain(X_412))) )],[refute_0_741,refute_0_744]) ).
cnf(refute_0_746,plain,
domain(skolemFOFtoCNF_X2) = multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_745:[bind(X_412,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_747,plain,
( domain(skolemFOFtoCNF_X2) != multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2)))
| multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))) = domain(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(skolemFOFtoCNF_X2))),bind(Y,$fot(multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_748,plain,
multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))) = domain(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X2),multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2)))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
( forward_diamond(multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != zero
| multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))) != domain(skolemFOFtoCNF_X2)
| forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),zero) ),[0,0],$fot(domain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_750,plain,
( forward_diamond(multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != zero
| forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))),domain(skolemFOFtoCNF_X2)) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(multiplication(domain(skolemFOFtoCNF_X2),codomain(domain(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),zero) )],[refute_0_728,refute_0_750]) ).
cnf(refute_0_752,plain,
( addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != zero
| addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_753,plain,
( addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),zero) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(zero),
inference(resolve,[$cnf( $equal(addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_442,refute_0_753]) ).
cnf(refute_0_755,plain,
c(multiplication(domain(X_87),domain(X_111))) = antidomain(forward_diamond(domain(X_87),X_111)),
inference(subst,[],[refute_0_423:[bind(X_47,$fot(domain(X_87))),bind(X_48,$fot(X_111))]]) ).
cnf(refute_0_756,plain,
domain_difference(X_87,antidomain(X_111)) = multiplication(domain(X_87),domain(X_111)),
inference(subst,[],[refute_0_167:[bind(X0,$fot(X_111))]]) ).
cnf(refute_0_757,plain,
( domain_difference(X_87,antidomain(X_111)) != multiplication(domain(X_87),domain(X_111))
| multiplication(domain(X_87),domain(X_111)) = domain_difference(X_87,antidomain(X_111)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain_difference(X_87,antidomain(X_111)))),bind(Y,$fot(multiplication(domain(X_87),domain(X_111))))]]) ).
cnf(refute_0_758,plain,
multiplication(domain(X_87),domain(X_111)) = domain_difference(X_87,antidomain(X_111)),
inference(resolve,[$cnf( $equal(domain_difference(X_87,antidomain(X_111)),multiplication(domain(X_87),domain(X_111))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
( c(multiplication(domain(X_87),domain(X_111))) != antidomain(forward_diamond(domain(X_87),X_111))
| multiplication(domain(X_87),domain(X_111)) != domain_difference(X_87,antidomain(X_111))
| c(domain_difference(X_87,antidomain(X_111))) = antidomain(forward_diamond(domain(X_87),X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(domain(X_87),domain(X_111))),antidomain(forward_diamond(domain(X_87),X_111))) ),[0,0],$fot(domain_difference(X_87,antidomain(X_111)))]]) ).
cnf(refute_0_760,plain,
( c(multiplication(domain(X_87),domain(X_111))) != antidomain(forward_diamond(domain(X_87),X_111))
| c(domain_difference(X_87,antidomain(X_111))) = antidomain(forward_diamond(domain(X_87),X_111)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_87),domain(X_111)),domain_difference(X_87,antidomain(X_111))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
c(domain_difference(X_87,antidomain(X_111))) = antidomain(forward_diamond(domain(X_87),X_111)),
inference(resolve,[$cnf( $equal(c(multiplication(domain(X_87),domain(X_111))),antidomain(forward_diamond(domain(X_87),X_111))) )],[refute_0_755,refute_0_760]) ).
cnf(refute_0_762,plain,
c(domain_difference(X_87,antidomain(X_111))) = antidomain(domain_difference(X_87,antidomain(X_111))),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(domain_difference(X_87,antidomain(X_111))))]]) ).
cnf(refute_0_763,plain,
( c(domain_difference(X_87,antidomain(X_111))) != antidomain(domain_difference(X_87,antidomain(X_111)))
| c(domain_difference(X_87,antidomain(X_111))) != antidomain(forward_diamond(domain(X_87),X_111))
| antidomain(domain_difference(X_87,antidomain(X_111))) = antidomain(forward_diamond(domain(X_87),X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(c(domain_difference(X_87,antidomain(X_111))),antidomain(forward_diamond(domain(X_87),X_111))) ),[0],$fot(antidomain(domain_difference(X_87,antidomain(X_111))))]]) ).
cnf(refute_0_764,plain,
( c(domain_difference(X_87,antidomain(X_111))) != antidomain(forward_diamond(domain(X_87),X_111))
| antidomain(domain_difference(X_87,antidomain(X_111))) = antidomain(forward_diamond(domain(X_87),X_111)) ),
inference(resolve,[$cnf( $equal(c(domain_difference(X_87,antidomain(X_111))),antidomain(domain_difference(X_87,antidomain(X_111)))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
antidomain(domain_difference(X_87,antidomain(X_111))) = antidomain(forward_diamond(domain(X_87),X_111)),
inference(resolve,[$cnf( $equal(c(domain_difference(X_87,antidomain(X_111))),antidomain(forward_diamond(domain(X_87),X_111))) )],[refute_0_761,refute_0_764]) ).
cnf(refute_0_766,plain,
( antidomain(domain_difference(X_87,antidomain(X_111))) != antidomain(forward_diamond(domain(X_87),X_111))
| antidomain(forward_diamond(domain(X_87),X_111)) = antidomain(domain_difference(X_87,antidomain(X_111))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(antidomain(domain_difference(X_87,antidomain(X_111))))),bind(Y,$fot(antidomain(forward_diamond(domain(X_87),X_111))))]]) ).
cnf(refute_0_767,plain,
antidomain(forward_diamond(domain(X_87),X_111)) = antidomain(domain_difference(X_87,antidomain(X_111))),
inference(resolve,[$cnf( $equal(antidomain(domain_difference(X_87,antidomain(X_111))),antidomain(forward_diamond(domain(X_87),X_111))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_767:[bind(X_111,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),bind(X_87,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_769,plain,
( addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),bind(Y,$fot(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),bind(Z,$fot(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_770,plain,
( antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_442,refute_0_769]) ).
cnf(refute_0_771,plain,
addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_768,refute_0_770]) ).
cnf(refute_0_772,plain,
( addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(zero)
| antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(zero)) ),[0],$fot(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_773,plain,
( addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(zero)
| antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
( antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(zero)
| antidomain(zero) != one
| antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),one) ),[0],$fot(antidomain(zero))]]) ).
cnf(refute_0_775,plain,
( antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(zero)
| antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = one ),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_121,refute_0_774]) ).
cnf(refute_0_776,plain,
( addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != antidomain(zero)
| antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = one ),
inference(resolve,[$cnf( $equal(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(zero)) )],[refute_0_773,refute_0_775]) ).
cnf(refute_0_777,plain,
antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(forward_diamond(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(domain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(zero)) )],[refute_0_754,refute_0_776]) ).
cnf(refute_0_778,plain,
( antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != one
| multiplication(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != zero
| multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_779,plain,
( multiplication(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != zero
| multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),one) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),zero) )],[refute_0_414,refute_0_779]) ).
cnf(refute_0_781,plain,
multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_140:[bind(A,$fot(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_782,plain,
( multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != zero
| domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),zero) ),[0],$fot(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_783,plain,
( multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != zero
| domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),zero) )],[refute_0_780,refute_0_783]) ).
cnf(refute_0_785,plain,
( domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != zero
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_786,plain,
( multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) ),
inference(resolve,[$cnf( $equal(domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),zero) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),domain_difference(skolemFOFtoCNF_X2,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_413,refute_0_786]) ).
cnf(refute_0_788,plain,
antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_789,plain,
addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
introduced(tautology,[refl,[$fot(addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_790,plain,
( addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),[1,1],$fot(domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_791,plain,
( antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_788,refute_0_791]) ).
cnf(refute_0_793,plain,
multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
introduced(tautology,[refl,[$fot(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_794,plain,
( addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) ),[1,1],$fot(addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_795,plain,
( addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_792,refute_0_795]) ).
cnf(refute_0_797,plain,
( multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)) ),[0],$fot(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_798,plain,
( multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
addition(zero,multiplication(domain(skolemFOFtoCNF_X2),X_2387)) = multiplication(domain(skolemFOFtoCNF_X2),X_2387),
inference(subst,[],[refute_0_508:[bind(A,$fot(multiplication(domain(skolemFOFtoCNF_X2),X_2387)))]]) ).
cnf(refute_0_800,plain,
multiplication(X_127,addition(X_128,one)) = addition(multiplication(X_127,X_128),multiplication(X_127,one)),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_127)),bind(B,$fot(X_128)),bind(C,$fot(one))]]) ).
cnf(refute_0_801,plain,
multiplication(X_127,one) = X_127,
inference(subst,[],[refute_0_92:[bind(A,$fot(X_127))]]) ).
cnf(refute_0_802,plain,
( multiplication(X_127,addition(X_128,one)) != addition(multiplication(X_127,X_128),multiplication(X_127,one))
| multiplication(X_127,one) != X_127
| multiplication(X_127,addition(X_128,one)) = addition(multiplication(X_127,X_128),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_127,addition(X_128,one)),addition(multiplication(X_127,X_128),multiplication(X_127,one))) ),[1,1],$fot(X_127)]]) ).
cnf(refute_0_803,plain,
( multiplication(X_127,addition(X_128,one)) != addition(multiplication(X_127,X_128),multiplication(X_127,one))
| multiplication(X_127,addition(X_128,one)) = addition(multiplication(X_127,X_128),X_127) ),
inference(resolve,[$cnf( $equal(multiplication(X_127,one),X_127) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
multiplication(X_127,addition(X_128,one)) = addition(multiplication(X_127,X_128),X_127),
inference(resolve,[$cnf( $equal(multiplication(X_127,addition(X_128,one)),addition(multiplication(X_127,X_128),multiplication(X_127,one))) )],[refute_0_800,refute_0_803]) ).
cnf(refute_0_805,plain,
addition(multiplication(X_127,X_128),X_127) = addition(X_127,multiplication(X_127,X_128)),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_127)),bind(B,$fot(multiplication(X_127,X_128)))]]) ).
cnf(refute_0_806,plain,
( addition(multiplication(X_127,X_128),X_127) != addition(X_127,multiplication(X_127,X_128))
| multiplication(X_127,addition(X_128,one)) != addition(multiplication(X_127,X_128),X_127)
| multiplication(X_127,addition(X_128,one)) = addition(X_127,multiplication(X_127,X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_127,addition(X_128,one)),addition(multiplication(X_127,X_128),X_127)) ),[1],$fot(addition(X_127,multiplication(X_127,X_128)))]]) ).
cnf(refute_0_807,plain,
( multiplication(X_127,addition(X_128,one)) != addition(multiplication(X_127,X_128),X_127)
| multiplication(X_127,addition(X_128,one)) = addition(X_127,multiplication(X_127,X_128)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_127,X_128),X_127),addition(X_127,multiplication(X_127,X_128))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
multiplication(X_127,addition(X_128,one)) = addition(X_127,multiplication(X_127,X_128)),
inference(resolve,[$cnf( $equal(multiplication(X_127,addition(X_128,one)),addition(multiplication(X_127,X_128),X_127)) )],[refute_0_804,refute_0_807]) ).
cnf(refute_0_809,plain,
multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) = addition(addition(X_206,X_207),multiplication(addition(X_206,X_207),coantidomain(X_207))),
inference(subst,[],[refute_0_808:[bind(X_127,$fot(addition(X_206,X_207))),bind(X_128,$fot(coantidomain(X_207)))]]) ).
cnf(refute_0_810,plain,
multiplication(addition(X_206,X_207),coantidomain(X_207)) = addition(multiplication(X_206,coantidomain(X_207)),multiplication(X_207,coantidomain(X_207))),
inference(subst,[],[refute_0_202:[bind(A,$fot(X_206)),bind(B,$fot(X_207)),bind(C,$fot(coantidomain(X_207)))]]) ).
cnf(refute_0_811,plain,
multiplication(X_207,coantidomain(X_207)) = zero,
inference(subst,[],[refute_0_454:[bind(X0,$fot(X_207))]]) ).
cnf(refute_0_812,plain,
( multiplication(X_207,coantidomain(X_207)) != zero
| multiplication(addition(X_206,X_207),coantidomain(X_207)) != addition(multiplication(X_206,coantidomain(X_207)),multiplication(X_207,coantidomain(X_207)))
| multiplication(addition(X_206,X_207),coantidomain(X_207)) = addition(multiplication(X_206,coantidomain(X_207)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_206,X_207),coantidomain(X_207)),addition(multiplication(X_206,coantidomain(X_207)),multiplication(X_207,coantidomain(X_207)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_813,plain,
( multiplication(addition(X_206,X_207),coantidomain(X_207)) != addition(multiplication(X_206,coantidomain(X_207)),multiplication(X_207,coantidomain(X_207)))
| multiplication(addition(X_206,X_207),coantidomain(X_207)) = addition(multiplication(X_206,coantidomain(X_207)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_207,coantidomain(X_207)),zero) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
multiplication(addition(X_206,X_207),coantidomain(X_207)) = addition(multiplication(X_206,coantidomain(X_207)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),coantidomain(X_207)),addition(multiplication(X_206,coantidomain(X_207)),multiplication(X_207,coantidomain(X_207)))) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
addition(multiplication(X_206,coantidomain(X_207)),zero) = multiplication(X_206,coantidomain(X_207)),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(X_206,coantidomain(X_207))))]]) ).
cnf(refute_0_816,plain,
( addition(multiplication(X_206,coantidomain(X_207)),zero) != multiplication(X_206,coantidomain(X_207))
| multiplication(addition(X_206,X_207),coantidomain(X_207)) != addition(multiplication(X_206,coantidomain(X_207)),zero)
| multiplication(addition(X_206,X_207),coantidomain(X_207)) = multiplication(X_206,coantidomain(X_207)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_206,X_207),coantidomain(X_207)),addition(multiplication(X_206,coantidomain(X_207)),zero)) ),[1],$fot(multiplication(X_206,coantidomain(X_207)))]]) ).
cnf(refute_0_817,plain,
( multiplication(addition(X_206,X_207),coantidomain(X_207)) != addition(multiplication(X_206,coantidomain(X_207)),zero)
| multiplication(addition(X_206,X_207),coantidomain(X_207)) = multiplication(X_206,coantidomain(X_207)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_206,coantidomain(X_207)),zero),multiplication(X_206,coantidomain(X_207))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
multiplication(addition(X_206,X_207),coantidomain(X_207)) = multiplication(X_206,coantidomain(X_207)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),coantidomain(X_207)),addition(multiplication(X_206,coantidomain(X_207)),zero)) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
( multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) != addition(addition(X_206,X_207),multiplication(addition(X_206,X_207),coantidomain(X_207)))
| multiplication(addition(X_206,X_207),coantidomain(X_207)) != multiplication(X_206,coantidomain(X_207))
| multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) = addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)),addition(addition(X_206,X_207),multiplication(addition(X_206,X_207),coantidomain(X_207)))) ),[1,1],$fot(multiplication(X_206,coantidomain(X_207)))]]) ).
cnf(refute_0_820,plain,
( multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) != addition(addition(X_206,X_207),multiplication(addition(X_206,X_207),coantidomain(X_207)))
| multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) = addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),coantidomain(X_207)),multiplication(X_206,coantidomain(X_207))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) = addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)),addition(addition(X_206,X_207),multiplication(addition(X_206,X_207),coantidomain(X_207)))) )],[refute_0_809,refute_0_820]) ).
cnf(refute_0_822,plain,
multiplication(addition(X_206,X_207),one) = addition(X_206,X_207),
inference(subst,[],[refute_0_92:[bind(A,$fot(addition(X_206,X_207)))]]) ).
cnf(refute_0_823,plain,
addition(coantidomain(X0),addition(codomain(X0),X_140)) = addition(addition(coantidomain(X0),codomain(X0)),X_140),
inference(subst,[],[refute_0_41:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(codomain(X0))),bind(C,$fot(X_140))]]) ).
cnf(refute_0_824,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_140)) != addition(addition(coantidomain(X0),codomain(X0)),X_140)
| addition(coantidomain(X0),codomain(X0)) != one
| addition(coantidomain(X0),addition(codomain(X0),X_140)) = addition(one,X_140) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_140)),addition(addition(coantidomain(X0),codomain(X0)),X_140)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_825,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_140)) != addition(addition(coantidomain(X0),codomain(X0)),X_140)
| addition(coantidomain(X0),addition(codomain(X0),X_140)) = addition(one,X_140) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_528,refute_0_824]) ).
cnf(refute_0_826,plain,
addition(coantidomain(X0),addition(codomain(X0),X_140)) = addition(one,X_140),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_140)),addition(addition(coantidomain(X0),codomain(X0)),X_140)) )],[refute_0_823,refute_0_825]) ).
cnf(refute_0_827,plain,
addition(coantidomain(X_145),addition(codomain(X_145),codomain(X_145))) = addition(one,codomain(X_145)),
inference(subst,[],[refute_0_826:[bind(X0,$fot(X_145)),bind(X_140,$fot(codomain(X_145)))]]) ).
cnf(refute_0_828,plain,
addition(codomain(X_145),codomain(X_145)) = codomain(X_145),
inference(subst,[],[refute_0_43:[bind(A,$fot(codomain(X_145)))]]) ).
cnf(refute_0_829,plain,
( addition(coantidomain(X_145),addition(codomain(X_145),codomain(X_145))) != addition(one,codomain(X_145))
| addition(codomain(X_145),codomain(X_145)) != codomain(X_145)
| addition(coantidomain(X_145),codomain(X_145)) = addition(one,codomain(X_145)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_145),addition(codomain(X_145),codomain(X_145))),addition(one,codomain(X_145))) ),[0,1],$fot(codomain(X_145))]]) ).
cnf(refute_0_830,plain,
( addition(coantidomain(X_145),addition(codomain(X_145),codomain(X_145))) != addition(one,codomain(X_145))
| addition(coantidomain(X_145),codomain(X_145)) = addition(one,codomain(X_145)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_145),codomain(X_145)),codomain(X_145)) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
addition(coantidomain(X_145),codomain(X_145)) = addition(one,codomain(X_145)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_145),addition(codomain(X_145),codomain(X_145))),addition(one,codomain(X_145))) )],[refute_0_827,refute_0_830]) ).
cnf(refute_0_832,plain,
addition(coantidomain(X_145),codomain(X_145)) = one,
inference(subst,[],[refute_0_528:[bind(X0,$fot(X_145))]]) ).
cnf(refute_0_833,plain,
( addition(coantidomain(X_145),codomain(X_145)) != addition(one,codomain(X_145))
| addition(coantidomain(X_145),codomain(X_145)) != one
| one = addition(one,codomain(X_145)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_145),codomain(X_145)),addition(one,codomain(X_145))) ),[0],$fot(one)]]) ).
cnf(refute_0_834,plain,
( addition(coantidomain(X_145),codomain(X_145)) != addition(one,codomain(X_145))
| one = addition(one,codomain(X_145)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_145),codomain(X_145)),one) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
one = addition(one,codomain(X_145)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_145),codomain(X_145)),addition(one,codomain(X_145))) )],[refute_0_831,refute_0_834]) ).
cnf(refute_0_836,plain,
one = addition(one,codomain(coantidomain(X_12))),
inference(subst,[],[refute_0_835:[bind(X_145,$fot(coantidomain(X_12)))]]) ).
cnf(refute_0_837,plain,
codomain(coantidomain(X_12)) = coantidomain(coantidomain(coantidomain(X_12))),
inference(subst,[],[refute_0_519:[bind(X0,$fot(coantidomain(X_12)))]]) ).
cnf(refute_0_838,plain,
codomain(X_12) = coantidomain(coantidomain(X_12)),
inference(subst,[],[refute_0_519:[bind(X0,$fot(X_12))]]) ).
cnf(refute_0_839,plain,
( codomain(X_12) != coantidomain(coantidomain(X_12))
| coantidomain(coantidomain(X_12)) = codomain(X_12) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(codomain(X_12))),bind(Y,$fot(coantidomain(coantidomain(X_12))))]]) ).
cnf(refute_0_840,plain,
coantidomain(coantidomain(X_12)) = codomain(X_12),
inference(resolve,[$cnf( $equal(codomain(X_12),coantidomain(coantidomain(X_12))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
( coantidomain(coantidomain(X_12)) != codomain(X_12)
| codomain(coantidomain(X_12)) != coantidomain(coantidomain(coantidomain(X_12)))
| codomain(coantidomain(X_12)) = coantidomain(codomain(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_12)),coantidomain(coantidomain(coantidomain(X_12)))) ),[1,0],$fot(codomain(X_12))]]) ).
cnf(refute_0_842,plain,
( codomain(coantidomain(X_12)) != coantidomain(coantidomain(coantidomain(X_12)))
| codomain(coantidomain(X_12)) = coantidomain(codomain(X_12)) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_12)),codomain(X_12)) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
codomain(coantidomain(X_12)) = coantidomain(codomain(X_12)),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_12)),coantidomain(coantidomain(coantidomain(X_12)))) )],[refute_0_837,refute_0_842]) ).
cnf(refute_0_844,plain,
( codomain(coantidomain(X_12)) != coantidomain(codomain(X_12))
| one != addition(one,codomain(coantidomain(X_12)))
| one = addition(one,coantidomain(codomain(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_12)))) ),[1,1],$fot(coantidomain(codomain(X_12)))]]) ).
cnf(refute_0_845,plain,
( one != addition(one,codomain(coantidomain(X_12)))
| one = addition(one,coantidomain(codomain(X_12))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_12)),coantidomain(codomain(X_12))) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
one = addition(one,coantidomain(codomain(X_12))),
inference(resolve,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_12)))) )],[refute_0_836,refute_0_845]) ).
cnf(refute_0_847,plain,
addition(coantidomain(X_145),addition(codomain(X_145),coantidomain(codomain(X_145)))) = addition(one,coantidomain(codomain(X_145))),
inference(subst,[],[refute_0_826:[bind(X0,$fot(X_145)),bind(X_140,$fot(coantidomain(codomain(X_145))))]]) ).
cnf(refute_0_848,plain,
addition(coantidomain(coantidomain(X_12)),codomain(coantidomain(X_12))) = one,
inference(subst,[],[refute_0_528:[bind(X0,$fot(coantidomain(X_12)))]]) ).
cnf(refute_0_849,plain,
( addition(coantidomain(coantidomain(X_12)),codomain(coantidomain(X_12))) != one
| codomain(coantidomain(X_12)) != coantidomain(codomain(X_12))
| addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_12)),codomain(coantidomain(X_12))),one) ),[0,1],$fot(coantidomain(codomain(X_12)))]]) ).
cnf(refute_0_850,plain,
( addition(coantidomain(coantidomain(X_12)),codomain(coantidomain(X_12))) != one
| addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) = one ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_12)),coantidomain(codomain(X_12))) )],[refute_0_843,refute_0_849]) ).
cnf(refute_0_851,plain,
addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_12)),codomain(coantidomain(X_12))),one) )],[refute_0_848,refute_0_850]) ).
cnf(refute_0_852,plain,
addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) = addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))),
introduced(tautology,[refl,[$fot(addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))))]]) ).
cnf(refute_0_853,plain,
( addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) != addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12)))
| coantidomain(coantidomain(X_12)) != codomain(X_12)
| addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) = addition(codomain(X_12),coantidomain(codomain(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))),addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12)))) ),[1,0],$fot(codomain(X_12))]]) ).
cnf(refute_0_854,plain,
( coantidomain(coantidomain(X_12)) != codomain(X_12)
| addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) = addition(codomain(X_12),coantidomain(codomain(X_12))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))),addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12)))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) = addition(codomain(X_12),coantidomain(codomain(X_12))),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_12)),codomain(X_12)) )],[refute_0_840,refute_0_854]) ).
cnf(refute_0_856,plain,
( addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) != addition(codomain(X_12),coantidomain(codomain(X_12)))
| addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) != one
| addition(codomain(X_12),coantidomain(codomain(X_12))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))),one) ),[0],$fot(addition(codomain(X_12),coantidomain(codomain(X_12))))]]) ).
cnf(refute_0_857,plain,
( addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))) != one
| addition(codomain(X_12),coantidomain(codomain(X_12))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))),addition(codomain(X_12),coantidomain(codomain(X_12)))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
addition(codomain(X_12),coantidomain(codomain(X_12))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_12)),coantidomain(codomain(X_12))),one) )],[refute_0_851,refute_0_857]) ).
cnf(refute_0_859,plain,
addition(codomain(X_145),coantidomain(codomain(X_145))) = one,
inference(subst,[],[refute_0_858:[bind(X_12,$fot(X_145))]]) ).
cnf(refute_0_860,plain,
( addition(coantidomain(X_145),addition(codomain(X_145),coantidomain(codomain(X_145)))) != addition(one,coantidomain(codomain(X_145)))
| addition(codomain(X_145),coantidomain(codomain(X_145))) != one
| addition(coantidomain(X_145),one) = addition(one,coantidomain(codomain(X_145))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_145),addition(codomain(X_145),coantidomain(codomain(X_145)))),addition(one,coantidomain(codomain(X_145)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_861,plain,
( addition(coantidomain(X_145),addition(codomain(X_145),coantidomain(codomain(X_145)))) != addition(one,coantidomain(codomain(X_145)))
| addition(coantidomain(X_145),one) = addition(one,coantidomain(codomain(X_145))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_145),coantidomain(codomain(X_145))),one) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
addition(coantidomain(X_145),one) = addition(one,coantidomain(codomain(X_145))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_145),addition(codomain(X_145),coantidomain(codomain(X_145)))),addition(one,coantidomain(codomain(X_145)))) )],[refute_0_847,refute_0_861]) ).
cnf(refute_0_863,plain,
addition(coantidomain(X_145),one) = addition(one,coantidomain(X_145)),
inference(subst,[],[refute_0_66:[bind(A,$fot(one)),bind(B,$fot(coantidomain(X_145)))]]) ).
cnf(refute_0_864,plain,
( addition(coantidomain(X_145),one) != addition(one,coantidomain(X_145))
| addition(coantidomain(X_145),one) != addition(one,coantidomain(codomain(X_145)))
| addition(one,coantidomain(X_145)) = addition(one,coantidomain(codomain(X_145))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_145),one),addition(one,coantidomain(codomain(X_145)))) ),[0],$fot(addition(one,coantidomain(X_145)))]]) ).
cnf(refute_0_865,plain,
( addition(coantidomain(X_145),one) != addition(one,coantidomain(codomain(X_145)))
| addition(one,coantidomain(X_145)) = addition(one,coantidomain(codomain(X_145))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_145),one),addition(one,coantidomain(X_145))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
addition(one,coantidomain(X_145)) = addition(one,coantidomain(codomain(X_145))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_145),one),addition(one,coantidomain(codomain(X_145)))) )],[refute_0_862,refute_0_865]) ).
cnf(refute_0_867,plain,
( addition(one,coantidomain(X_145)) != addition(one,coantidomain(codomain(X_145)))
| addition(one,coantidomain(codomain(X_145))) = addition(one,coantidomain(X_145)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(one,coantidomain(X_145)))),bind(Y,$fot(addition(one,coantidomain(codomain(X_145)))))]]) ).
cnf(refute_0_868,plain,
addition(one,coantidomain(codomain(X_145))) = addition(one,coantidomain(X_145)),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_145)),addition(one,coantidomain(codomain(X_145)))) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
addition(one,coantidomain(codomain(X_12))) = addition(one,coantidomain(X_12)),
inference(subst,[],[refute_0_868:[bind(X_145,$fot(X_12))]]) ).
cnf(refute_0_870,plain,
( addition(one,coantidomain(codomain(X_12))) != addition(one,coantidomain(X_12))
| one != addition(one,coantidomain(codomain(X_12)))
| one = addition(one,coantidomain(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_12)))) ),[1],$fot(addition(one,coantidomain(X_12)))]]) ).
cnf(refute_0_871,plain,
( one != addition(one,coantidomain(codomain(X_12)))
| one = addition(one,coantidomain(X_12)) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_12))),addition(one,coantidomain(X_12))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
one = addition(one,coantidomain(X_12)),
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_12)))) )],[refute_0_846,refute_0_871]) ).
cnf(refute_0_873,plain,
( one != addition(one,coantidomain(X_12))
| addition(one,coantidomain(X_12)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(addition(one,coantidomain(X_12))))]]) ).
cnf(refute_0_874,plain,
addition(one,coantidomain(X_12)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(X_12))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
addition(one,coantidomain(X_207)) = one,
inference(subst,[],[refute_0_874:[bind(X_12,$fot(X_207))]]) ).
cnf(refute_0_876,plain,
multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) = multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))),
introduced(tautology,[refl,[$fot(multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))))]]) ).
cnf(refute_0_877,plain,
( addition(one,coantidomain(X_207)) != one
| multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) != multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207)))
| multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) = multiplication(addition(X_206,X_207),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))),multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_878,plain,
( addition(one,coantidomain(X_207)) != one
| multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) = multiplication(addition(X_206,X_207),one) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))),multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207)))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) = multiplication(addition(X_206,X_207),one),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_207)),one) )],[refute_0_875,refute_0_878]) ).
cnf(refute_0_880,plain,
( multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) != multiplication(addition(X_206,X_207),one)
| multiplication(addition(X_206,X_207),one) != addition(X_206,X_207)
| multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) = addition(X_206,X_207) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))))),bind(Y,$fot(multiplication(addition(X_206,X_207),one))),bind(Z,$fot(addition(X_206,X_207)))]]) ).
cnf(refute_0_881,plain,
( multiplication(addition(X_206,X_207),one) != addition(X_206,X_207)
| multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) = addition(X_206,X_207) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))),multiplication(addition(X_206,X_207),one)) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) = addition(X_206,X_207),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),one),addition(X_206,X_207)) )],[refute_0_822,refute_0_881]) ).
cnf(refute_0_883,plain,
multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) = addition(multiplication(addition(X_211,X_212),B),multiplication(addition(X_211,X_212),coantidomain(X_212))),
inference(subst,[],[refute_0_29:[bind(A,$fot(addition(X_211,X_212))),bind(C,$fot(coantidomain(X_212)))]]) ).
cnf(refute_0_884,plain,
multiplication(addition(X_211,X_212),coantidomain(X_212)) = multiplication(X_211,coantidomain(X_212)),
inference(subst,[],[refute_0_818:[bind(X_206,$fot(X_211)),bind(X_207,$fot(X_212))]]) ).
cnf(refute_0_885,plain,
( multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) != addition(multiplication(addition(X_211,X_212),B),multiplication(addition(X_211,X_212),coantidomain(X_212)))
| multiplication(addition(X_211,X_212),coantidomain(X_212)) != multiplication(X_211,coantidomain(X_212))
| multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) = addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))),addition(multiplication(addition(X_211,X_212),B),multiplication(addition(X_211,X_212),coantidomain(X_212)))) ),[1,1],$fot(multiplication(X_211,coantidomain(X_212)))]]) ).
cnf(refute_0_886,plain,
( multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) != addition(multiplication(addition(X_211,X_212),B),multiplication(addition(X_211,X_212),coantidomain(X_212)))
| multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) = addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_211,X_212),coantidomain(X_212)),multiplication(X_211,coantidomain(X_212))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) = addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))),addition(multiplication(addition(X_211,X_212),B),multiplication(addition(X_211,X_212),coantidomain(X_212)))) )],[refute_0_883,refute_0_886]) ).
cnf(refute_0_888,plain,
multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)) = addition(multiplication(addition(X_211,X_212),coantidomain(X_212)),multiplication(addition(X_211,X_212),C)),
inference(subst,[],[refute_0_29:[bind(A,$fot(addition(X_211,X_212))),bind(B,$fot(coantidomain(X_212)))]]) ).
cnf(refute_0_889,plain,
( multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)) != addition(multiplication(addition(X_211,X_212),coantidomain(X_212)),multiplication(addition(X_211,X_212),C))
| multiplication(addition(X_211,X_212),coantidomain(X_212)) != multiplication(X_211,coantidomain(X_212))
| multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)) = addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)),addition(multiplication(addition(X_211,X_212),coantidomain(X_212)),multiplication(addition(X_211,X_212),C))) ),[1,0],$fot(multiplication(X_211,coantidomain(X_212)))]]) ).
cnf(refute_0_890,plain,
( multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)) != addition(multiplication(addition(X_211,X_212),coantidomain(X_212)),multiplication(addition(X_211,X_212),C))
| multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)) = addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),C)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_211,X_212),coantidomain(X_212)),multiplication(X_211,coantidomain(X_212))) )],[refute_0_884,refute_0_889]) ).
cnf(refute_0_891,plain,
multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)) = addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),C)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)),addition(multiplication(addition(X_211,X_212),coantidomain(X_212)),multiplication(addition(X_211,X_212),C))) )],[refute_0_888,refute_0_890]) ).
cnf(refute_0_892,plain,
( multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)) != addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),C))
| addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),C)) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)))),bind(Y,$fot(addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),C))))]]) ).
cnf(refute_0_893,plain,
addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),C)) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_211,X_212),addition(coantidomain(X_212),C)),addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),C))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),B)) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)),
inference(subst,[],[refute_0_893:[bind(C,$fot(B))]]) ).
cnf(refute_0_895,plain,
addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))) = addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),B)),
inference(subst,[],[refute_0_66:[bind(A,$fot(multiplication(X_211,coantidomain(X_212)))),bind(B,$fot(multiplication(addition(X_211,X_212),B)))]]) ).
cnf(refute_0_896,plain,
( addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),B)) != multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))
| addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))) != addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),B))
| addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))))),bind(Y,$fot(addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),B)))),bind(Z,$fot(multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))))]]) ).
cnf(refute_0_897,plain,
( addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),B)) != multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))
| addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))),addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),B))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_211,coantidomain(X_212)),multiplication(addition(X_211,X_212),B)),multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))) )],[refute_0_894,refute_0_897]) ).
cnf(refute_0_899,plain,
( addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))) != multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))
| multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) != addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212)))
| multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))),addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212)))) ),[1],$fot(multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)))]]) ).
cnf(refute_0_900,plain,
( multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) != addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212)))
| multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212))),multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) = multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))),addition(multiplication(addition(X_211,X_212),B),multiplication(X_211,coantidomain(X_212)))) )],[refute_0_887,refute_0_900]) ).
cnf(refute_0_902,plain,
( multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) != multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))
| multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)) = multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))))),bind(Y,$fot(multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))))]]) ).
cnf(refute_0_903,plain,
multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B)) = multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_211,X_212),addition(B,coantidomain(X_212))),multiplication(addition(X_211,X_212),addition(coantidomain(X_212),B))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) = multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))),
inference(subst,[],[refute_0_903:[bind(B,$fot(one)),bind(X_211,$fot(X_206)),bind(X_212,$fot(X_207))]]) ).
cnf(refute_0_905,plain,
( multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) != multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207)))
| multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) != addition(X_206,X_207)
| multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) = addition(X_206,X_207) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)))),bind(Y,$fot(multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))))),bind(Z,$fot(addition(X_206,X_207)))]]) ).
cnf(refute_0_906,plain,
( multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))) != addition(X_206,X_207)
| multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) = addition(X_206,X_207) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)),multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207)))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) = addition(X_206,X_207),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(one,coantidomain(X_207))),addition(X_206,X_207)) )],[refute_0_882,refute_0_906]) ).
cnf(refute_0_908,plain,
( multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) != addition(X_206,X_207)
| multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) != addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207)))
| addition(X_206,X_207) = addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)),addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207)))) ),[0],$fot(addition(X_206,X_207))]]) ).
cnf(refute_0_909,plain,
( multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) != addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207)))
| addition(X_206,X_207) = addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)),addition(X_206,X_207)) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))) = addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_206)),bind(B,$fot(X_207)),bind(C,$fot(multiplication(X_206,coantidomain(X_207))))]]) ).
cnf(refute_0_911,plain,
( addition(X_206,X_207) != addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207)))
| addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))) != addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207))))
| addition(X_206,X_207) = addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_206,X_207),addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207))))) ),[0],$fot(addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))))]]) ).
cnf(refute_0_912,plain,
( addition(X_206,X_207) != addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207)))
| addition(X_206,X_207) = addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207))),addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207))))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
( multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)) != addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207)))
| addition(X_206,X_207) = addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))) ),
inference(resolve,[$cnf( $equal(addition(X_206,X_207),addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207)))) )],[refute_0_909,refute_0_912]) ).
cnf(refute_0_914,plain,
addition(X_206,X_207) = addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_206,X_207),addition(coantidomain(X_207),one)),addition(addition(X_206,X_207),multiplication(X_206,coantidomain(X_207)))) )],[refute_0_821,refute_0_913]) ).
cnf(refute_0_915,plain,
addition(A,addition(X_138,X_139)) = addition(addition(X_138,X_139),A),
inference(subst,[],[refute_0_64:[bind(B,$fot(addition(X_138,X_139)))]]) ).
cnf(refute_0_916,plain,
addition(X_138,addition(X_139,A)) = addition(addition(X_138,X_139),A),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_138)),bind(B,$fot(X_139)),bind(C,$fot(A))]]) ).
cnf(refute_0_917,plain,
( addition(X_138,addition(X_139,A)) != addition(addition(X_138,X_139),A)
| addition(addition(X_138,X_139),A) = addition(X_138,addition(X_139,A)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(X_138,addition(X_139,A)))),bind(Y,$fot(addition(addition(X_138,X_139),A)))]]) ).
cnf(refute_0_918,plain,
addition(addition(X_138,X_139),A) = addition(X_138,addition(X_139,A)),
inference(resolve,[$cnf( $equal(addition(X_138,addition(X_139,A)),addition(addition(X_138,X_139),A)) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
( addition(A,addition(X_138,X_139)) != addition(addition(X_138,X_139),A)
| addition(addition(X_138,X_139),A) != addition(X_138,addition(X_139,A))
| addition(A,addition(X_138,X_139)) = addition(X_138,addition(X_139,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_138,X_139)),addition(X_138,addition(X_139,A))) ),[0],$fot(addition(addition(X_138,X_139),A))]]) ).
cnf(refute_0_920,plain,
( addition(A,addition(X_138,X_139)) != addition(addition(X_138,X_139),A)
| addition(A,addition(X_138,X_139)) = addition(X_138,addition(X_139,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_138,X_139),A),addition(X_138,addition(X_139,A))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
addition(A,addition(X_138,X_139)) = addition(X_138,addition(X_139,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_138,X_139)),addition(addition(X_138,X_139),A)) )],[refute_0_915,refute_0_920]) ).
cnf(refute_0_922,plain,
addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) = addition(X_138,addition(X_139,multiplication(X_139,coantidomain(X_1223)))),
inference(subst,[],[refute_0_921:[bind(A,$fot(multiplication(X_139,coantidomain(X_1223))))]]) ).
cnf(refute_0_923,plain,
multiplication(X_127,addition(one,X_129)) = addition(multiplication(X_127,one),multiplication(X_127,X_129)),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_127)),bind(B,$fot(one)),bind(C,$fot(X_129))]]) ).
cnf(refute_0_924,plain,
( multiplication(X_127,addition(one,X_129)) != addition(multiplication(X_127,one),multiplication(X_127,X_129))
| multiplication(X_127,one) != X_127
| multiplication(X_127,addition(one,X_129)) = addition(X_127,multiplication(X_127,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_127,addition(one,X_129)),addition(multiplication(X_127,one),multiplication(X_127,X_129))) ),[1,0],$fot(X_127)]]) ).
cnf(refute_0_925,plain,
( multiplication(X_127,addition(one,X_129)) != addition(multiplication(X_127,one),multiplication(X_127,X_129))
| multiplication(X_127,addition(one,X_129)) = addition(X_127,multiplication(X_127,X_129)) ),
inference(resolve,[$cnf( $equal(multiplication(X_127,one),X_127) )],[refute_0_801,refute_0_924]) ).
cnf(refute_0_926,plain,
multiplication(X_127,addition(one,X_129)) = addition(X_127,multiplication(X_127,X_129)),
inference(resolve,[$cnf( $equal(multiplication(X_127,addition(one,X_129)),addition(multiplication(X_127,one),multiplication(X_127,X_129))) )],[refute_0_923,refute_0_925]) ).
cnf(refute_0_927,plain,
multiplication(X_636,addition(one,coantidomain(X_12))) = addition(X_636,multiplication(X_636,coantidomain(X_12))),
inference(subst,[],[refute_0_926:[bind(X_127,$fot(X_636)),bind(X_129,$fot(coantidomain(X_12)))]]) ).
cnf(refute_0_928,plain,
( addition(one,coantidomain(X_12)) != one
| multiplication(X_636,addition(one,coantidomain(X_12))) != addition(X_636,multiplication(X_636,coantidomain(X_12)))
| multiplication(X_636,one) = addition(X_636,multiplication(X_636,coantidomain(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_636,addition(one,coantidomain(X_12))),addition(X_636,multiplication(X_636,coantidomain(X_12)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_929,plain,
( multiplication(X_636,addition(one,coantidomain(X_12))) != addition(X_636,multiplication(X_636,coantidomain(X_12)))
| multiplication(X_636,one) = addition(X_636,multiplication(X_636,coantidomain(X_12))) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_12)),one) )],[refute_0_874,refute_0_928]) ).
cnf(refute_0_930,plain,
multiplication(X_636,one) = addition(X_636,multiplication(X_636,coantidomain(X_12))),
inference(resolve,[$cnf( $equal(multiplication(X_636,addition(one,coantidomain(X_12))),addition(X_636,multiplication(X_636,coantidomain(X_12)))) )],[refute_0_927,refute_0_929]) ).
cnf(refute_0_931,plain,
multiplication(X_636,one) = X_636,
inference(subst,[],[refute_0_92:[bind(A,$fot(X_636))]]) ).
cnf(refute_0_932,plain,
( multiplication(X_636,one) != X_636
| multiplication(X_636,one) != addition(X_636,multiplication(X_636,coantidomain(X_12)))
| X_636 = addition(X_636,multiplication(X_636,coantidomain(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_636,one),addition(X_636,multiplication(X_636,coantidomain(X_12)))) ),[0],$fot(X_636)]]) ).
cnf(refute_0_933,plain,
( multiplication(X_636,one) != addition(X_636,multiplication(X_636,coantidomain(X_12)))
| X_636 = addition(X_636,multiplication(X_636,coantidomain(X_12))) ),
inference(resolve,[$cnf( $equal(multiplication(X_636,one),X_636) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
X_636 = addition(X_636,multiplication(X_636,coantidomain(X_12))),
inference(resolve,[$cnf( $equal(multiplication(X_636,one),addition(X_636,multiplication(X_636,coantidomain(X_12)))) )],[refute_0_930,refute_0_933]) ).
cnf(refute_0_935,plain,
X_139 = addition(X_139,multiplication(X_139,coantidomain(X_1223))),
inference(subst,[],[refute_0_934:[bind(X_12,$fot(X_1223)),bind(X_636,$fot(X_139))]]) ).
cnf(refute_0_936,plain,
( X_139 != addition(X_139,multiplication(X_139,coantidomain(X_1223)))
| addition(X_139,multiplication(X_139,coantidomain(X_1223))) = X_139 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_139)),bind(Y,$fot(addition(X_139,multiplication(X_139,coantidomain(X_1223)))))]]) ).
cnf(refute_0_937,plain,
addition(X_139,multiplication(X_139,coantidomain(X_1223))) = X_139,
inference(resolve,[$cnf( $equal(X_139,addition(X_139,multiplication(X_139,coantidomain(X_1223)))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
( addition(X_139,multiplication(X_139,coantidomain(X_1223))) != X_139
| addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) != addition(X_138,addition(X_139,multiplication(X_139,coantidomain(X_1223))))
| addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) = addition(X_138,X_139) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)),addition(X_138,addition(X_139,multiplication(X_139,coantidomain(X_1223))))) ),[1,1],$fot(X_139)]]) ).
cnf(refute_0_939,plain,
( addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) != addition(X_138,addition(X_139,multiplication(X_139,coantidomain(X_1223))))
| addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) = addition(X_138,X_139) ),
inference(resolve,[$cnf( $equal(addition(X_139,multiplication(X_139,coantidomain(X_1223))),X_139) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) = addition(X_138,X_139),
inference(resolve,[$cnf( $equal(addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)),addition(X_138,addition(X_139,multiplication(X_139,coantidomain(X_1223))))) )],[refute_0_922,refute_0_939]) ).
cnf(refute_0_941,plain,
addition(X_140,addition(X_139,X_138)) = addition(X_139,addition(X_138,X_140)),
inference(subst,[],[refute_0_921:[bind(A,$fot(X_140)),bind(X_138,$fot(X_139)),bind(X_139,$fot(X_138))]]) ).
cnf(refute_0_942,plain,
( addition(X_140,addition(X_139,X_138)) != addition(X_139,addition(X_138,X_140))
| addition(X_139,addition(X_138,X_140)) = addition(X_140,addition(X_139,X_138)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(X_140,addition(X_139,X_138)))),bind(Y,$fot(addition(X_139,addition(X_138,X_140))))]]) ).
cnf(refute_0_943,plain,
addition(X_139,addition(X_138,X_140)) = addition(X_140,addition(X_139,X_138)),
inference(resolve,[$cnf( $equal(addition(X_140,addition(X_139,X_138)),addition(X_139,addition(X_138,X_140))) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
( addition(X_138,addition(X_139,X_140)) != addition(X_139,addition(X_138,X_140))
| addition(X_139,addition(X_138,X_140)) != addition(X_140,addition(X_139,X_138))
| addition(X_138,addition(X_139,X_140)) = addition(X_140,addition(X_139,X_138)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_138,addition(X_139,X_140)),addition(X_140,addition(X_139,X_138))) ),[0],$fot(addition(X_139,addition(X_138,X_140)))]]) ).
cnf(refute_0_945,plain,
( addition(X_138,addition(X_139,X_140)) != addition(X_139,addition(X_138,X_140))
| addition(X_138,addition(X_139,X_140)) = addition(X_140,addition(X_139,X_138)) ),
inference(resolve,[$cnf( $equal(addition(X_139,addition(X_138,X_140)),addition(X_140,addition(X_139,X_138))) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
addition(X_138,addition(X_139,X_140)) = addition(X_140,addition(X_139,X_138)),
inference(resolve,[$cnf( $equal(addition(X_138,addition(X_139,X_140)),addition(X_139,addition(X_138,X_140))) )],[refute_0_158,refute_0_945]) ).
cnf(refute_0_947,plain,
( addition(X_138,addition(X_139,X_140)) != addition(X_140,addition(X_139,X_138))
| addition(X_140,addition(X_139,X_138)) = addition(X_138,addition(X_139,X_140)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(X_138,addition(X_139,X_140)))),bind(Y,$fot(addition(X_140,addition(X_139,X_138))))]]) ).
cnf(refute_0_948,plain,
addition(X_140,addition(X_139,X_138)) = addition(X_138,addition(X_139,X_140)),
inference(resolve,[$cnf( $equal(addition(X_138,addition(X_139,X_140)),addition(X_140,addition(X_139,X_138))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) = addition(X_139,addition(X_138,multiplication(X_139,coantidomain(X_1223)))),
inference(subst,[],[refute_0_948:[bind(X_138,$fot(X_139)),bind(X_139,$fot(X_138)),bind(X_140,$fot(multiplication(X_139,coantidomain(X_1223))))]]) ).
cnf(refute_0_950,plain,
( addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) != addition(X_138,X_139)
| addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) != addition(X_139,addition(X_138,multiplication(X_139,coantidomain(X_1223))))
| addition(X_139,addition(X_138,multiplication(X_139,coantidomain(X_1223)))) = addition(X_138,X_139) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)),addition(X_138,X_139)) ),[0],$fot(addition(X_139,addition(X_138,multiplication(X_139,coantidomain(X_1223)))))]]) ).
cnf(refute_0_951,plain,
( addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)) != addition(X_138,X_139)
| addition(X_139,addition(X_138,multiplication(X_139,coantidomain(X_1223)))) = addition(X_138,X_139) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)),addition(X_139,addition(X_138,multiplication(X_139,coantidomain(X_1223))))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
addition(X_139,addition(X_138,multiplication(X_139,coantidomain(X_1223)))) = addition(X_138,X_139),
inference(resolve,[$cnf( $equal(addition(multiplication(X_139,coantidomain(X_1223)),addition(X_138,X_139)),addition(X_138,X_139)) )],[refute_0_940,refute_0_951]) ).
cnf(refute_0_953,plain,
addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))) = addition(X_207,X_206),
inference(subst,[],[refute_0_952:[bind(X_1223,$fot(X_207)),bind(X_138,$fot(X_207)),bind(X_139,$fot(X_206))]]) ).
cnf(refute_0_954,plain,
( addition(X_206,X_207) != addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207))))
| addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))) != addition(X_207,X_206)
| addition(X_206,X_207) = addition(X_207,X_206) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_206,X_207),addition(X_207,X_206)) ),[0],$fot(addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))))]]) ).
cnf(refute_0_955,plain,
( addition(X_206,X_207) != addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207))))
| addition(X_206,X_207) = addition(X_207,X_206) ),
inference(resolve,[$cnf( $equal(addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207)))),addition(X_207,X_206)) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
addition(X_206,X_207) = addition(X_207,X_206),
inference(resolve,[$cnf( $equal(addition(X_206,X_207),addition(X_206,addition(X_207,multiplication(X_206,coantidomain(X_207))))) )],[refute_0_914,refute_0_955]) ).
cnf(refute_0_957,plain,
( addition(X_206,X_207) != addition(X_207,X_206)
| addition(X_207,X_206) = addition(X_206,X_207) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(addition(X_206,X_207))),bind(Y,$fot(addition(X_207,X_206)))]]) ).
cnf(refute_0_958,plain,
addition(X_207,X_206) = addition(X_206,X_207),
inference(resolve,[$cnf( $equal(addition(X_206,X_207),addition(X_207,X_206)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) = addition(zero,multiplication(domain(skolemFOFtoCNF_X2),X_2387)),
inference(subst,[],[refute_0_958:[bind(X_206,$fot(zero)),bind(X_207,$fot(multiplication(domain(skolemFOFtoCNF_X2),X_2387)))]]) ).
cnf(refute_0_960,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) != addition(zero,multiplication(domain(skolemFOFtoCNF_X2),X_2387))
| addition(zero,multiplication(domain(skolemFOFtoCNF_X2),X_2387)) != multiplication(domain(skolemFOFtoCNF_X2),X_2387)
| addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) = multiplication(domain(skolemFOFtoCNF_X2),X_2387) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero))),bind(Y,$fot(addition(zero,multiplication(domain(skolemFOFtoCNF_X2),X_2387)))),bind(Z,$fot(multiplication(domain(skolemFOFtoCNF_X2),X_2387)))]]) ).
cnf(refute_0_961,plain,
( addition(zero,multiplication(domain(skolemFOFtoCNF_X2),X_2387)) != multiplication(domain(skolemFOFtoCNF_X2),X_2387)
| addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) = multiplication(domain(skolemFOFtoCNF_X2),X_2387) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero),addition(zero,multiplication(domain(skolemFOFtoCNF_X2),X_2387))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) = multiplication(domain(skolemFOFtoCNF_X2),X_2387),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(domain(skolemFOFtoCNF_X2),X_2387)),multiplication(domain(skolemFOFtoCNF_X2),X_2387)) )],[refute_0_799,refute_0_961]) ).
cnf(refute_0_963,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero) != multiplication(domain(skolemFOFtoCNF_X2),X_2387)
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = multiplication(domain(skolemFOFtoCNF_X2),X_2387) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)) ),[1],$fot(multiplication(domain(skolemFOFtoCNF_X2),X_2387))]]) ).
cnf(refute_0_964,plain,
( multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = multiplication(domain(skolemFOFtoCNF_X2),X_2387) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero),multiplication(domain(skolemFOFtoCNF_X2),X_2387)) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
( multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)
| multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = multiplication(domain(skolemFOFtoCNF_X2),X_2387) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)) )],[refute_0_798,refute_0_964]) ).
cnf(refute_0_966,plain,
multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = multiplication(domain(skolemFOFtoCNF_X2),X_2387),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(X_2387,antidomain(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),addition(multiplication(domain(skolemFOFtoCNF_X2),X_2387),zero)) )],[refute_0_787,refute_0_965]) ).
cnf(refute_0_967,plain,
multiplication(domain(skolemFOFtoCNF_X2),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_966:[bind(X_2387,$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_968,plain,
addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = one,
inference(subst,[],[refute_0_77:[bind(X0,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_969,plain,
( addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != one
| multiplication(domain(skolemFOFtoCNF_X2),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(domain(skolemFOFtoCNF_X2),one) = multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_970,plain,
( multiplication(domain(skolemFOFtoCNF_X2),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(domain(skolemFOFtoCNF_X2),one) = multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),one) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
multiplication(domain(skolemFOFtoCNF_X2),one) = multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_967,refute_0_970]) ).
cnf(refute_0_972,plain,
multiplication(domain(skolemFOFtoCNF_X2),one) = domain(skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_92:[bind(A,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_973,plain,
( multiplication(domain(skolemFOFtoCNF_X2),one) != domain(skolemFOFtoCNF_X2)
| multiplication(domain(skolemFOFtoCNF_X2),one) != multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| domain(skolemFOFtoCNF_X2) = multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),one),multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[0],$fot(domain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_974,plain,
( multiplication(domain(skolemFOFtoCNF_X2),one) != multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| domain(skolemFOFtoCNF_X2) = multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),one),domain(skolemFOFtoCNF_X2)) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_373:[bind(X0,$fot(skolemFOFtoCNF_X2)),bind(X1,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_976,plain,
( domain(skolemFOFtoCNF_X2) != multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain(skolemFOFtoCNF_X2) = domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(skolemFOFtoCNF_X2),domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),[0],$fot(multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_977,plain,
( domain(skolemFOFtoCNF_X2) != multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| domain(skolemFOFtoCNF_X2) = domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
( multiplication(domain(skolemFOFtoCNF_X2),one) != multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| domain(skolemFOFtoCNF_X2) = domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X2),multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_974,refute_0_977]) ).
cnf(refute_0_979,plain,
domain(skolemFOFtoCNF_X2) = domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),one),multiplication(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_971,refute_0_978]) ).
cnf(refute_0_980,plain,
( domain(skolemFOFtoCNF_X2) != domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(skolemFOFtoCNF_X2))),bind(Y,$fot(domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_981,plain,
domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X2),domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
( antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X2)
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[1,1],$fot(domain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_983,plain,
( antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_408,refute_0_983]) ).
cnf(refute_0_985,plain,
addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_958:[bind(X_206,$fot(domain(skolemFOFtoCNF_X2))),bind(X_207,$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_986,plain,
( addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2))
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2))) ),[1],$fot(addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_987,plain,
( antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2))
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2))) )],[refute_0_984,refute_0_987]) ).
cnf(refute_0_989,plain,
( antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),bind(Y,$fot(addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_990,plain,
addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
( addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain_difference(antidomain(addition(X_4238,addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),antidomain(domain(skolemFOFtoCNF_X2))) != zero
| domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(addition(X_4238,addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),antidomain(domain(skolemFOFtoCNF_X2))),zero) ),[0,0,0,1],$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_992,plain,
( domain_difference(antidomain(addition(X_4238,addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),antidomain(domain(skolemFOFtoCNF_X2))) != zero
| domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) = zero ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) = zero,
inference(resolve,[$cnf( $equal(domain_difference(antidomain(addition(X_4238,addition(domain(skolemFOFtoCNF_X2),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),antidomain(domain(skolemFOFtoCNF_X2))),zero) )],[refute_0_362,refute_0_992]) ).
cnf(refute_0_994,plain,
c(X0) = antidomain(X0),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(X0))]]) ).
cnf(refute_0_995,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_996,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(X0) = antidomain(domain(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
antidomain(X0) = antidomain(domain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_176,refute_0_996]) ).
cnf(refute_0_998,plain,
( antidomain(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = antidomain(X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(antidomain(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_999,plain,
antidomain(domain(X0)) = antidomain(X0),
inference(resolve,[$cnf( $equal(antidomain(X0),antidomain(domain(X0))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
antidomain(domain(skolemFOFtoCNF_X2)) = antidomain(skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_999:[bind(X0,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_1001,plain,
domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) = domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))),
introduced(tautology,[refl,[$fot(domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_1002,plain,
( antidomain(domain(skolemFOFtoCNF_X2)) != antidomain(skolemFOFtoCNF_X2)
| domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) != domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2)))
| domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) = domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))),domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2)))) ),[1,1],$fot(antidomain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_1003,plain,
( antidomain(domain(skolemFOFtoCNF_X2)) != antidomain(skolemFOFtoCNF_X2)
| domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) = domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))),domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2)))) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) = domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(skolemFOFtoCNF_X2)) )],[refute_0_1000,refute_0_1003]) ).
cnf(refute_0_1005,plain,
( domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) != domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2))
| domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) != zero
| domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))),zero) ),[0],$fot(domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_1006,plain,
( domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))) != zero
| domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)) = zero ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))),domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)) = zero,
inference(resolve,[$cnf( $equal(domain_difference(antidomain(addition(X_4238,antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(domain(skolemFOFtoCNF_X2))),zero) )],[refute_0_993,refute_0_1006]) ).
cnf(refute_0_1008,plain,
domain_difference(antidomain(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)) = zero,
inference(subst,[],[refute_0_1007:[bind(X_4238,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1009,plain,
addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_441:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1010,plain,
( addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain_difference(antidomain(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)) != zero
| domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)),zero) ),[0,0,0],$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1011,plain,
( domain_difference(antidomain(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)) != zero
| domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) = zero ),
inference(resolve,[$cnf( $equal(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) = zero,
inference(resolve,[$cnf( $equal(domain_difference(antidomain(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),antidomain(skolemFOFtoCNF_X2)),zero) )],[refute_0_1008,refute_0_1011]) ).
cnf(refute_0_1013,plain,
forward_diamond(X0,domain(X_735)) = domain(multiplication(X0,domain(domain(X_735)))),
inference(subst,[],[refute_0_417:[bind(X1,$fot(domain(X_735)))]]) ).
cnf(refute_0_1014,plain,
domain(antidomain(antidomain(X0))) = c(antidomain(X0)),
inference(subst,[],[refute_0_182:[bind(X_4,$fot(antidomain(X0)))]]) ).
cnf(refute_0_1015,plain,
( antidomain(antidomain(X0)) != domain(X0)
| domain(antidomain(antidomain(X0))) != c(antidomain(X0))
| domain(domain(X0)) = c(antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(antidomain(X0))),c(antidomain(X0))) ),[0,0],$fot(domain(X0))]]) ).
cnf(refute_0_1016,plain,
( domain(antidomain(antidomain(X0))) != c(antidomain(X0))
| domain(domain(X0)) = c(antidomain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_8,refute_0_1015]) ).
cnf(refute_0_1017,plain,
domain(domain(X0)) = c(antidomain(X0)),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(X0))),c(antidomain(X0))) )],[refute_0_1014,refute_0_1016]) ).
cnf(refute_0_1018,plain,
domain(domain(X_6)) = antidomain(antidomain(domain(X_6))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(domain(X_6)))]]) ).
cnf(refute_0_1019,plain,
c(X_6) = antidomain(domain(X_6)),
inference(subst,[],[refute_0_176:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_1020,plain,
( c(X_6) != antidomain(domain(X_6))
| antidomain(domain(X_6)) = c(X_6) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c(X_6))),bind(Y,$fot(antidomain(domain(X_6))))]]) ).
cnf(refute_0_1021,plain,
antidomain(domain(X_6)) = c(X_6),
inference(resolve,[$cnf( $equal(c(X_6),antidomain(domain(X_6))) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( antidomain(domain(X_6)) != c(X_6)
| domain(domain(X_6)) != antidomain(antidomain(domain(X_6)))
| domain(domain(X_6)) = antidomain(c(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_6)),antidomain(antidomain(domain(X_6)))) ),[1,0],$fot(c(X_6))]]) ).
cnf(refute_0_1023,plain,
( domain(domain(X_6)) != antidomain(antidomain(domain(X_6)))
| domain(domain(X_6)) = antidomain(c(X_6)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_6)),c(X_6)) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
domain(domain(X_6)) = antidomain(c(X_6)),
inference(resolve,[$cnf( $equal(domain(domain(X_6)),antidomain(antidomain(domain(X_6)))) )],[refute_0_1018,refute_0_1023]) ).
cnf(refute_0_1025,plain,
domain(domain(X_6)) = c(antidomain(X_6)),
inference(subst,[],[refute_0_1017:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_1026,plain,
( domain(domain(X_6)) != antidomain(c(X_6))
| domain(domain(X_6)) != c(antidomain(X_6))
| c(antidomain(X_6)) = antidomain(c(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_6)),antidomain(c(X_6))) ),[0],$fot(c(antidomain(X_6)))]]) ).
cnf(refute_0_1027,plain,
( domain(domain(X_6)) != antidomain(c(X_6))
| c(antidomain(X_6)) = antidomain(c(X_6)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_6)),c(antidomain(X_6))) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
c(antidomain(X_6)) = antidomain(c(X_6)),
inference(resolve,[$cnf( $equal(domain(domain(X_6)),antidomain(c(X_6))) )],[refute_0_1024,refute_0_1027]) ).
cnf(refute_0_1029,plain,
c(antidomain(X0)) = antidomain(c(X0)),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(X0))]]) ).
cnf(refute_0_1030,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_1031,plain,
( domain(domain(X0)) != c(antidomain(X0))
| domain(domain(X0)) = antidomain(c(X0)) ),
inference(resolve,[$cnf( $equal(c(antidomain(X0)),antidomain(c(X0))) )],[refute_0_1029,refute_0_1030]) ).
cnf(refute_0_1032,plain,
domain(domain(X0)) = antidomain(c(X0)),
inference(resolve,[$cnf( $equal(domain(domain(X0)),c(antidomain(X0))) )],[refute_0_1017,refute_0_1031]) ).
cnf(refute_0_1033,plain,
antidomain(c(X0)) = antidomain(c(X0)),
introduced(tautology,[refl,[$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1034,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_1035,plain,
( c(X0) != antidomain(X0)
| antidomain(c(X0)) = antidomain(antidomain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),antidomain(c(X0))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
antidomain(c(X0)) = antidomain(antidomain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_994,refute_0_1035]) ).
cnf(refute_0_1037,plain,
( antidomain(antidomain(X0)) != domain(X0)
| antidomain(c(X0)) != antidomain(antidomain(X0))
| antidomain(c(X0)) = domain(X0) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(c(X0)))),bind(Y,$fot(antidomain(antidomain(X0)))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_1038,plain,
( antidomain(antidomain(X0)) != domain(X0)
| antidomain(c(X0)) = domain(X0) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),antidomain(antidomain(X0))) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
antidomain(c(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_8,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( antidomain(c(X0)) != domain(X0)
| domain(domain(X0)) != antidomain(c(X0))
| domain(domain(X0)) = domain(X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) ),[1],$fot(domain(X0))]]) ).
cnf(refute_0_1041,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain(domain(X0)) = domain(X0) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),domain(X0)) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
domain(domain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_1032,refute_0_1041]) ).
cnf(refute_0_1043,plain,
domain(domain(X_735)) = domain(X_735),
inference(subst,[],[refute_0_1042:[bind(X0,$fot(X_735))]]) ).
cnf(refute_0_1044,plain,
( domain(domain(X_735)) != domain(X_735)
| forward_diamond(X0,domain(X_735)) != domain(multiplication(X0,domain(domain(X_735))))
| forward_diamond(X0,domain(X_735)) = domain(multiplication(X0,domain(X_735))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,domain(X_735)),domain(multiplication(X0,domain(domain(X_735))))) ),[1,0,1],$fot(domain(X_735))]]) ).
cnf(refute_0_1045,plain,
( forward_diamond(X0,domain(X_735)) != domain(multiplication(X0,domain(domain(X_735))))
| forward_diamond(X0,domain(X_735)) = domain(multiplication(X0,domain(X_735))) ),
inference(resolve,[$cnf( $equal(domain(domain(X_735)),domain(X_735)) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
forward_diamond(X0,domain(X_735)) = domain(multiplication(X0,domain(X_735))),
inference(resolve,[$cnf( $equal(forward_diamond(X0,domain(X_735)),domain(multiplication(X0,domain(domain(X_735))))) )],[refute_0_1013,refute_0_1045]) ).
cnf(refute_0_1047,plain,
forward_diamond(X_47,domain(X0)) = domain(multiplication(X_47,domain(domain(X0)))),
inference(subst,[],[refute_0_417:[bind(X0,$fot(X_47)),bind(X1,$fot(domain(X0)))]]) ).
cnf(refute_0_1048,plain,
( domain(domain(X0)) != antidomain(c(X0))
| forward_diamond(X_47,domain(X0)) != domain(multiplication(X_47,domain(domain(X0))))
| forward_diamond(X_47,domain(X0)) = domain(multiplication(X_47,antidomain(c(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,domain(X0)),domain(multiplication(X_47,domain(domain(X0))))) ),[1,0,1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1049,plain,
( forward_diamond(X_47,domain(X0)) != domain(multiplication(X_47,domain(domain(X0))))
| forward_diamond(X_47,domain(X0)) = domain(multiplication(X_47,antidomain(c(X0)))) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_1032,refute_0_1048]) ).
cnf(refute_0_1050,plain,
forward_diamond(X_47,domain(X0)) = domain(multiplication(X_47,antidomain(c(X0)))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,domain(X0)),domain(multiplication(X_47,domain(domain(X0))))) )],[refute_0_1047,refute_0_1049]) ).
cnf(refute_0_1051,plain,
antidomain(antidomain(forward_diamond(X_47,X0))) = domain(forward_diamond(X_47,X0)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(forward_diamond(X_47,X0)))]]) ).
cnf(refute_0_1052,plain,
c(multiplication(X_47,domain(forward_box(one,X_515)))) = antidomain(forward_diamond(X_47,forward_box(one,X_515))),
inference(subst,[],[refute_0_423:[bind(X_48,$fot(forward_box(one,X_515)))]]) ).
cnf(refute_0_1053,plain,
forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_1054,plain,
forward_box(one,X1) = c(forward_diamond(one,c(X1))),
inference(subst,[],[refute_0_1053:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1055,plain,
forward_diamond(one,X_48) = domain(multiplication(one,domain(X_48))),
inference(subst,[],[refute_0_417:[bind(X0,$fot(one)),bind(X1,$fot(X_48))]]) ).
cnf(refute_0_1056,plain,
multiplication(one,domain(X_48)) = domain(X_48),
inference(subst,[],[refute_0_140:[bind(A,$fot(domain(X_48)))]]) ).
cnf(refute_0_1057,plain,
( forward_diamond(one,X_48) != domain(multiplication(one,domain(X_48)))
| multiplication(one,domain(X_48)) != domain(X_48)
| forward_diamond(one,X_48) = domain(domain(X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,X_48),domain(multiplication(one,domain(X_48)))) ),[1,0],$fot(domain(X_48))]]) ).
cnf(refute_0_1058,plain,
( forward_diamond(one,X_48) != domain(multiplication(one,domain(X_48)))
| forward_diamond(one,X_48) = domain(domain(X_48)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_48)),domain(X_48)) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
forward_diamond(one,X_48) = domain(domain(X_48)),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_48),domain(multiplication(one,domain(X_48)))) )],[refute_0_1055,refute_0_1058]) ).
cnf(refute_0_1060,plain,
domain(domain(X_48)) = antidomain(c(X_48)),
inference(subst,[],[refute_0_1032:[bind(X0,$fot(X_48))]]) ).
cnf(refute_0_1061,plain,
( domain(domain(X_48)) != antidomain(c(X_48))
| forward_diamond(one,X_48) != domain(domain(X_48))
| forward_diamond(one,X_48) = antidomain(c(X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,X_48),domain(domain(X_48))) ),[1],$fot(antidomain(c(X_48)))]]) ).
cnf(refute_0_1062,plain,
( forward_diamond(one,X_48) != domain(domain(X_48))
| forward_diamond(one,X_48) = antidomain(c(X_48)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_48)),antidomain(c(X_48))) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
forward_diamond(one,X_48) = antidomain(c(X_48)),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_48),domain(domain(X_48))) )],[refute_0_1059,refute_0_1062]) ).
cnf(refute_0_1064,plain,
forward_diamond(one,c(X1)) = antidomain(c(c(X1))),
inference(subst,[],[refute_0_1063:[bind(X_48,$fot(c(X1)))]]) ).
cnf(refute_0_1065,plain,
( forward_box(one,X1) != c(forward_diamond(one,c(X1)))
| forward_diamond(one,c(X1)) != antidomain(c(c(X1)))
| forward_box(one,X1) = c(antidomain(c(c(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X1),c(forward_diamond(one,c(X1)))) ),[1,0],$fot(antidomain(c(c(X1))))]]) ).
cnf(refute_0_1066,plain,
( forward_box(one,X1) != c(forward_diamond(one,c(X1)))
| forward_box(one,X1) = c(antidomain(c(c(X1)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(one,c(X1)),antidomain(c(c(X1)))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
forward_box(one,X1) = c(antidomain(c(c(X1)))),
inference(resolve,[$cnf( $equal(forward_box(one,X1),c(forward_diamond(one,c(X1)))) )],[refute_0_1054,refute_0_1066]) ).
cnf(refute_0_1068,plain,
c(antidomain(c(c(X1)))) = antidomain(c(c(c(X1)))),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(c(c(X1))))]]) ).
cnf(refute_0_1069,plain,
( c(antidomain(c(c(X1)))) != antidomain(c(c(c(X1))))
| forward_box(one,X1) != c(antidomain(c(c(X1))))
| forward_box(one,X1) = antidomain(c(c(c(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X1),c(antidomain(c(c(X1))))) ),[1],$fot(antidomain(c(c(c(X1)))))]]) ).
cnf(refute_0_1070,plain,
( forward_box(one,X1) != c(antidomain(c(c(X1))))
| forward_box(one,X1) = antidomain(c(c(c(X1)))) ),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(X1)))),antidomain(c(c(c(X1))))) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
forward_box(one,X1) = antidomain(c(c(c(X1)))),
inference(resolve,[$cnf( $equal(forward_box(one,X1),c(antidomain(c(c(X1))))) )],[refute_0_1067,refute_0_1070]) ).
cnf(refute_0_1072,plain,
antidomain(antidomain(forward_box(one,X1))) = domain(forward_box(one,X1)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(forward_box(one,X1)))]]) ).
cnf(refute_0_1073,plain,
c(antidomain(c(domain(X_7)))) = antidomain(c(c(domain(X_7)))),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(c(domain(X_7))))]]) ).
cnf(refute_0_1074,plain,
domain(domain(domain(X_7))) = antidomain(c(domain(X_7))),
inference(subst,[],[refute_0_1032:[bind(X0,$fot(domain(X_7)))]]) ).
cnf(refute_0_1075,plain,
domain(domain(X_7)) = antidomain(c(X_7)),
inference(subst,[],[refute_0_1032:[bind(X0,$fot(X_7))]]) ).
cnf(refute_0_1076,plain,
( domain(domain(X_7)) != antidomain(c(X_7))
| domain(domain(domain(X_7))) != antidomain(c(domain(X_7)))
| domain(antidomain(c(X_7))) = antidomain(c(domain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(domain(X_7))),antidomain(c(domain(X_7)))) ),[0,0],$fot(antidomain(c(X_7)))]]) ).
cnf(refute_0_1077,plain,
( domain(domain(domain(X_7))) != antidomain(c(domain(X_7)))
| domain(antidomain(c(X_7))) = antidomain(c(domain(X_7))) ),
inference(resolve,[$cnf( $equal(domain(domain(X_7)),antidomain(c(X_7))) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
domain(antidomain(c(X_7))) = antidomain(c(domain(X_7))),
inference(resolve,[$cnf( $equal(domain(domain(domain(X_7))),antidomain(c(domain(X_7)))) )],[refute_0_1074,refute_0_1077]) ).
cnf(refute_0_1079,plain,
domain(antidomain(c(X_7))) = c(c(X_7)),
inference(subst,[],[refute_0_182:[bind(X_4,$fot(c(X_7)))]]) ).
cnf(refute_0_1080,plain,
( domain(antidomain(c(X_7))) != antidomain(c(domain(X_7)))
| domain(antidomain(c(X_7))) != c(c(X_7))
| c(c(X_7)) = antidomain(c(domain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(c(X_7))),antidomain(c(domain(X_7)))) ),[0],$fot(c(c(X_7)))]]) ).
cnf(refute_0_1081,plain,
( domain(antidomain(c(X_7))) != antidomain(c(domain(X_7)))
| c(c(X_7)) = antidomain(c(domain(X_7))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(c(X_7))),c(c(X_7))) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
c(c(X_7)) = antidomain(c(domain(X_7))),
inference(resolve,[$cnf( $equal(domain(antidomain(c(X_7))),antidomain(c(domain(X_7)))) )],[refute_0_1078,refute_0_1081]) ).
cnf(refute_0_1083,plain,
( c(c(X_7)) != antidomain(c(domain(X_7)))
| antidomain(c(domain(X_7))) = c(c(X_7)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c(c(X_7)))),bind(Y,$fot(antidomain(c(domain(X_7)))))]]) ).
cnf(refute_0_1084,plain,
antidomain(c(domain(X_7))) = c(c(X_7)),
inference(resolve,[$cnf( $equal(c(c(X_7)),antidomain(c(domain(X_7)))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
( antidomain(c(domain(X_7))) != c(c(X_7))
| c(antidomain(c(domain(X_7)))) != antidomain(c(c(domain(X_7))))
| c(c(c(X_7))) = antidomain(c(c(domain(X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(c(antidomain(c(domain(X_7)))),antidomain(c(c(domain(X_7))))) ),[0,0],$fot(c(c(X_7)))]]) ).
cnf(refute_0_1086,plain,
( c(antidomain(c(domain(X_7)))) != antidomain(c(c(domain(X_7))))
| c(c(c(X_7))) = antidomain(c(c(domain(X_7)))) ),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_7))),c(c(X_7))) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
c(c(c(X_7))) = antidomain(c(c(domain(X_7)))),
inference(resolve,[$cnf( $equal(c(antidomain(c(domain(X_7)))),antidomain(c(c(domain(X_7))))) )],[refute_0_1073,refute_0_1086]) ).
cnf(refute_0_1088,plain,
multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = addition(c(c(domain(X_511))),multiplication(forward_box(one,X_511),c(c(domain(X_511))))),
inference(subst,[],[refute_0_207:[bind(X_207,$fot(forward_box(one,X_511))),bind(X_208,$fot(c(c(domain(X_511)))))]]) ).
cnf(refute_0_1089,plain,
domain_difference(domain(X0),X_88) = multiplication(domain(domain(X0)),antidomain(X_88)),
inference(subst,[],[refute_0_163:[bind(X0,$fot(domain(X0))),bind(X1,$fot(X_88))]]) ).
cnf(refute_0_1090,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain_difference(domain(X0),X_88) != multiplication(domain(domain(X0)),antidomain(X_88))
| domain_difference(domain(X0),X_88) = multiplication(antidomain(c(X0)),antidomain(X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X0),X_88),multiplication(domain(domain(X0)),antidomain(X_88))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1091,plain,
( domain_difference(domain(X0),X_88) != multiplication(domain(domain(X0)),antidomain(X_88))
| domain_difference(domain(X0),X_88) = multiplication(antidomain(c(X0)),antidomain(X_88)) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_1032,refute_0_1090]) ).
cnf(refute_0_1092,plain,
domain_difference(domain(X0),X_88) = multiplication(antidomain(c(X0)),antidomain(X_88)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),X_88),multiplication(domain(domain(X0)),antidomain(X_88))) )],[refute_0_1089,refute_0_1091]) ).
cnf(refute_0_1093,plain,
domain_difference(domain(c(c(X1))),X_109) = multiplication(antidomain(c(c(c(X1)))),antidomain(X_109)),
inference(subst,[],[refute_0_1092:[bind(X0,$fot(c(c(X1)))),bind(X_88,$fot(X_109))]]) ).
cnf(refute_0_1094,plain,
( forward_box(one,X1) != antidomain(c(c(c(X1))))
| antidomain(c(c(c(X1)))) = forward_box(one,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(one,X1))),bind(Y,$fot(antidomain(c(c(c(X1))))))]]) ).
cnf(refute_0_1095,plain,
antidomain(c(c(c(X1)))) = forward_box(one,X1),
inference(resolve,[$cnf( $equal(forward_box(one,X1),antidomain(c(c(c(X1))))) )],[refute_0_1071,refute_0_1094]) ).
cnf(refute_0_1096,plain,
( antidomain(c(c(c(X1)))) != forward_box(one,X1)
| domain_difference(domain(c(c(X1))),X_109) != multiplication(antidomain(c(c(c(X1)))),antidomain(X_109))
| domain_difference(domain(c(c(X1))),X_109) = multiplication(forward_box(one,X1),antidomain(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(c(c(X1))),X_109),multiplication(antidomain(c(c(c(X1)))),antidomain(X_109))) ),[1,0],$fot(forward_box(one,X1))]]) ).
cnf(refute_0_1097,plain,
( domain_difference(domain(c(c(X1))),X_109) != multiplication(antidomain(c(c(c(X1)))),antidomain(X_109))
| domain_difference(domain(c(c(X1))),X_109) = multiplication(forward_box(one,X1),antidomain(X_109)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X1)))),forward_box(one,X1)) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
domain_difference(domain(c(c(X1))),X_109) = multiplication(forward_box(one,X1),antidomain(X_109)),
inference(resolve,[$cnf( $equal(domain_difference(domain(c(c(X1))),X_109),multiplication(antidomain(c(c(c(X1)))),antidomain(X_109))) )],[refute_0_1093,refute_0_1097]) ).
cnf(refute_0_1099,plain,
domain(antidomain(domain(X_6))) = c(domain(X_6)),
inference(subst,[],[refute_0_182:[bind(X_4,$fot(domain(X_6)))]]) ).
cnf(refute_0_1100,plain,
( antidomain(domain(X_6)) != c(X_6)
| domain(antidomain(domain(X_6))) != c(domain(X_6))
| domain(c(X_6)) = c(domain(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(domain(X_6))),c(domain(X_6))) ),[0,0],$fot(c(X_6))]]) ).
cnf(refute_0_1101,plain,
( domain(antidomain(domain(X_6))) != c(domain(X_6))
| domain(c(X_6)) = c(domain(X_6)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_6)),c(X_6)) )],[refute_0_1021,refute_0_1100]) ).
cnf(refute_0_1102,plain,
domain(c(X_6)) = c(domain(X_6)),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_6))),c(domain(X_6))) )],[refute_0_1099,refute_0_1101]) ).
cnf(refute_0_1103,plain,
domain(c(X1)) = c(domain(X1)),
inference(subst,[],[refute_0_1102:[bind(X_6,$fot(X1))]]) ).
cnf(refute_0_1104,plain,
c(domain(c(X1))) = c(domain(c(X1))),
introduced(tautology,[refl,[$fot(c(domain(c(X1))))]]) ).
cnf(refute_0_1105,plain,
( c(domain(c(X1))) != c(domain(c(X1)))
| domain(c(X1)) != c(domain(X1))
| c(domain(c(X1))) = c(c(domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(c(domain(c(X1))),c(domain(c(X1)))) ),[1,0],$fot(c(domain(X1)))]]) ).
cnf(refute_0_1106,plain,
( domain(c(X1)) != c(domain(X1))
| c(domain(c(X1))) = c(c(domain(X1))) ),
inference(resolve,[$cnf( $equal(c(domain(c(X1))),c(domain(c(X1)))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
c(domain(c(X1))) = c(c(domain(X1))),
inference(resolve,[$cnf( $equal(domain(c(X1)),c(domain(X1))) )],[refute_0_1103,refute_0_1106]) ).
cnf(refute_0_1108,plain,
domain(c(c(X1))) = c(domain(c(X1))),
inference(subst,[],[refute_0_1102:[bind(X_6,$fot(c(X1)))]]) ).
cnf(refute_0_1109,plain,
( c(domain(c(X1))) != c(c(domain(X1)))
| domain(c(c(X1))) != c(domain(c(X1)))
| domain(c(c(X1))) = c(c(domain(X1))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain(c(c(X1))))),bind(Y,$fot(c(domain(c(X1))))),bind(Z,$fot(c(c(domain(X1)))))]]) ).
cnf(refute_0_1110,plain,
( c(domain(c(X1))) != c(c(domain(X1)))
| domain(c(c(X1))) = c(c(domain(X1))) ),
inference(resolve,[$cnf( $equal(domain(c(c(X1))),c(domain(c(X1)))) )],[refute_0_1108,refute_0_1109]) ).
cnf(refute_0_1111,plain,
domain(c(c(X1))) = c(c(domain(X1))),
inference(resolve,[$cnf( $equal(c(domain(c(X1))),c(c(domain(X1)))) )],[refute_0_1107,refute_0_1110]) ).
cnf(refute_0_1112,plain,
domain_difference(domain(c(c(X1))),X_109) = domain_difference(domain(c(c(X1))),X_109),
introduced(tautology,[refl,[$fot(domain_difference(domain(c(c(X1))),X_109))]]) ).
cnf(refute_0_1113,plain,
( domain(c(c(X1))) != c(c(domain(X1)))
| domain_difference(domain(c(c(X1))),X_109) != domain_difference(domain(c(c(X1))),X_109)
| domain_difference(domain(c(c(X1))),X_109) = domain_difference(c(c(domain(X1))),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(c(c(X1))),X_109),domain_difference(domain(c(c(X1))),X_109)) ),[1,0],$fot(c(c(domain(X1))))]]) ).
cnf(refute_0_1114,plain,
( domain(c(c(X1))) != c(c(domain(X1)))
| domain_difference(domain(c(c(X1))),X_109) = domain_difference(c(c(domain(X1))),X_109) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(c(c(X1))),X_109),domain_difference(domain(c(c(X1))),X_109)) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
domain_difference(domain(c(c(X1))),X_109) = domain_difference(c(c(domain(X1))),X_109),
inference(resolve,[$cnf( $equal(domain(c(c(X1))),c(c(domain(X1)))) )],[refute_0_1111,refute_0_1114]) ).
cnf(refute_0_1116,plain,
( domain_difference(domain(c(c(X1))),X_109) != domain_difference(c(c(domain(X1))),X_109)
| domain_difference(domain(c(c(X1))),X_109) != multiplication(forward_box(one,X1),antidomain(X_109))
| domain_difference(c(c(domain(X1))),X_109) = multiplication(forward_box(one,X1),antidomain(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(c(c(X1))),X_109),multiplication(forward_box(one,X1),antidomain(X_109))) ),[0],$fot(domain_difference(c(c(domain(X1))),X_109))]]) ).
cnf(refute_0_1117,plain,
( domain_difference(domain(c(c(X1))),X_109) != multiplication(forward_box(one,X1),antidomain(X_109))
| domain_difference(c(c(domain(X1))),X_109) = multiplication(forward_box(one,X1),antidomain(X_109)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(c(c(X1))),X_109),domain_difference(c(c(domain(X1))),X_109)) )],[refute_0_1115,refute_0_1116]) ).
cnf(refute_0_1118,plain,
domain_difference(c(c(domain(X1))),X_109) = multiplication(forward_box(one,X1),antidomain(X_109)),
inference(resolve,[$cnf( $equal(domain_difference(domain(c(c(X1))),X_109),multiplication(forward_box(one,X1),antidomain(X_109))) )],[refute_0_1098,refute_0_1117]) ).
cnf(refute_0_1119,plain,
domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) = multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))),
inference(subst,[],[refute_0_1118:[bind(X1,$fot(X_401)),bind(X_109,$fot(domain(c(domain(X_401)))))]]) ).
cnf(refute_0_1120,plain,
c(domain(X0)) = domain_difference(antidomain(domain(X0)),domain(X0)),
inference(subst,[],[refute_0_287:[bind(X0,$fot(domain(X0)))]]) ).
cnf(refute_0_1121,plain,
( antidomain(domain(X0)) != c(X0)
| c(domain(X0)) != domain_difference(antidomain(domain(X0)),domain(X0))
| c(domain(X0)) = domain_difference(c(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(c(domain(X0)),domain_difference(antidomain(domain(X0)),domain(X0))) ),[1,0],$fot(c(X0))]]) ).
cnf(refute_0_1122,plain,
( c(domain(X0)) != domain_difference(antidomain(domain(X0)),domain(X0))
| c(domain(X0)) = domain_difference(c(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_178,refute_0_1121]) ).
cnf(refute_0_1123,plain,
c(domain(X0)) = domain_difference(c(X0),domain(X0)),
inference(resolve,[$cnf( $equal(c(domain(X0)),domain_difference(antidomain(domain(X0)),domain(X0))) )],[refute_0_1120,refute_0_1122]) ).
cnf(refute_0_1124,plain,
c(domain(c(domain(X_401)))) = domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(c(domain(X_401))))]]) ).
cnf(refute_0_1125,plain,
( c(domain(c(domain(X_401)))) != domain_difference(c(c(domain(X_401))),domain(c(domain(X_401))))
| domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) = c(domain(c(domain(X_401)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c(domain(c(domain(X_401)))))),bind(Y,$fot(domain_difference(c(c(domain(X_401))),domain(c(domain(X_401))))))]]) ).
cnf(refute_0_1126,plain,
domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) = c(domain(c(domain(X_401)))),
inference(resolve,[$cnf( $equal(c(domain(c(domain(X_401)))),domain_difference(c(c(domain(X_401))),domain(c(domain(X_401))))) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) != c(domain(c(domain(X_401))))
| domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) != multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))
| c(domain(c(domain(X_401)))) = multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))),multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))) ),[0],$fot(c(domain(c(domain(X_401)))))]]) ).
cnf(refute_0_1128,plain,
( domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) != multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))
| c(domain(c(domain(X_401)))) = multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) ),
inference(resolve,[$cnf( $equal(domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))),c(domain(c(domain(X_401))))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
c(domain(c(domain(X_401)))) = multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))),
inference(resolve,[$cnf( $equal(domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))),multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))) )],[refute_0_1119,refute_0_1128]) ).
cnf(refute_0_1130,plain,
antidomain(c(c(c(X_401)))) = forward_box(one,X_401),
inference(subst,[],[refute_0_1095:[bind(X1,$fot(X_401))]]) ).
cnf(refute_0_1131,plain,
c(antidomain(c(c(X_401)))) = antidomain(c(c(c(X_401)))),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(c(c(X_401))))]]) ).
cnf(refute_0_1132,plain,
( antidomain(c(c(c(X_401)))) != forward_box(one,X_401)
| c(antidomain(c(c(X_401)))) != antidomain(c(c(c(X_401))))
| c(antidomain(c(c(X_401)))) = forward_box(one,X_401) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(antidomain(c(c(X_401)))))),bind(Y,$fot(antidomain(c(c(c(X_401)))))),bind(Z,$fot(forward_box(one,X_401)))]]) ).
cnf(refute_0_1133,plain,
( antidomain(c(c(c(X_401)))) != forward_box(one,X_401)
| c(antidomain(c(c(X_401)))) = forward_box(one,X_401) ),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(X_401)))),antidomain(c(c(c(X_401))))) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
c(antidomain(c(c(X_401)))) = forward_box(one,X_401),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X_401)))),forward_box(one,X_401)) )],[refute_0_1130,refute_0_1133]) ).
cnf(refute_0_1135,plain,
c(antidomain(c(X_401))) = antidomain(c(c(X_401))),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(c(X_401)))]]) ).
cnf(refute_0_1136,plain,
domain(domain(X_401)) = antidomain(c(X_401)),
inference(subst,[],[refute_0_1032:[bind(X0,$fot(X_401))]]) ).
cnf(refute_0_1137,plain,
c(domain(domain(X_401))) = c(domain(domain(X_401))),
introduced(tautology,[refl,[$fot(c(domain(domain(X_401))))]]) ).
cnf(refute_0_1138,plain,
( c(domain(domain(X_401))) != c(domain(domain(X_401)))
| domain(domain(X_401)) != antidomain(c(X_401))
| c(domain(domain(X_401))) = c(antidomain(c(X_401))) ),
introduced(tautology,[equality,[$cnf( $equal(c(domain(domain(X_401))),c(domain(domain(X_401)))) ),[1,0],$fot(antidomain(c(X_401)))]]) ).
cnf(refute_0_1139,plain,
( domain(domain(X_401)) != antidomain(c(X_401))
| c(domain(domain(X_401))) = c(antidomain(c(X_401))) ),
inference(resolve,[$cnf( $equal(c(domain(domain(X_401))),c(domain(domain(X_401)))) )],[refute_0_1137,refute_0_1138]) ).
cnf(refute_0_1140,plain,
c(domain(domain(X_401))) = c(antidomain(c(X_401))),
inference(resolve,[$cnf( $equal(domain(domain(X_401)),antidomain(c(X_401))) )],[refute_0_1136,refute_0_1139]) ).
cnf(refute_0_1141,plain,
( c(antidomain(c(X_401))) != antidomain(c(c(X_401)))
| c(domain(domain(X_401))) != c(antidomain(c(X_401)))
| c(domain(domain(X_401))) = antidomain(c(c(X_401))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(domain(domain(X_401))))),bind(Y,$fot(c(antidomain(c(X_401))))),bind(Z,$fot(antidomain(c(c(X_401)))))]]) ).
cnf(refute_0_1142,plain,
( c(antidomain(c(X_401))) != antidomain(c(c(X_401)))
| c(domain(domain(X_401))) = antidomain(c(c(X_401))) ),
inference(resolve,[$cnf( $equal(c(domain(domain(X_401))),c(antidomain(c(X_401)))) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
c(domain(domain(X_401))) = antidomain(c(c(X_401))),
inference(resolve,[$cnf( $equal(c(antidomain(c(X_401))),antidomain(c(c(X_401)))) )],[refute_0_1135,refute_0_1142]) ).
cnf(refute_0_1144,plain,
domain(c(domain(X_401))) = c(domain(domain(X_401))),
inference(subst,[],[refute_0_1102:[bind(X_6,$fot(domain(X_401)))]]) ).
cnf(refute_0_1145,plain,
( c(domain(domain(X_401))) != antidomain(c(c(X_401)))
| domain(c(domain(X_401))) != c(domain(domain(X_401)))
| domain(c(domain(X_401))) = antidomain(c(c(X_401))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain(c(domain(X_401))))),bind(Y,$fot(c(domain(domain(X_401))))),bind(Z,$fot(antidomain(c(c(X_401)))))]]) ).
cnf(refute_0_1146,plain,
( c(domain(domain(X_401))) != antidomain(c(c(X_401)))
| domain(c(domain(X_401))) = antidomain(c(c(X_401))) ),
inference(resolve,[$cnf( $equal(domain(c(domain(X_401))),c(domain(domain(X_401)))) )],[refute_0_1144,refute_0_1145]) ).
cnf(refute_0_1147,plain,
domain(c(domain(X_401))) = antidomain(c(c(X_401))),
inference(resolve,[$cnf( $equal(c(domain(domain(X_401))),antidomain(c(c(X_401)))) )],[refute_0_1143,refute_0_1146]) ).
cnf(refute_0_1148,plain,
c(domain(c(domain(X_401)))) = c(domain(c(domain(X_401)))),
introduced(tautology,[refl,[$fot(c(domain(c(domain(X_401)))))]]) ).
cnf(refute_0_1149,plain,
( c(domain(c(domain(X_401)))) != c(domain(c(domain(X_401))))
| domain(c(domain(X_401))) != antidomain(c(c(X_401)))
| c(domain(c(domain(X_401)))) = c(antidomain(c(c(X_401)))) ),
introduced(tautology,[equality,[$cnf( $equal(c(domain(c(domain(X_401)))),c(domain(c(domain(X_401))))) ),[1,0],$fot(antidomain(c(c(X_401))))]]) ).
cnf(refute_0_1150,plain,
( domain(c(domain(X_401))) != antidomain(c(c(X_401)))
| c(domain(c(domain(X_401)))) = c(antidomain(c(c(X_401)))) ),
inference(resolve,[$cnf( $equal(c(domain(c(domain(X_401)))),c(domain(c(domain(X_401))))) )],[refute_0_1148,refute_0_1149]) ).
cnf(refute_0_1151,plain,
c(domain(c(domain(X_401)))) = c(antidomain(c(c(X_401)))),
inference(resolve,[$cnf( $equal(domain(c(domain(X_401))),antidomain(c(c(X_401)))) )],[refute_0_1147,refute_0_1150]) ).
cnf(refute_0_1152,plain,
( c(antidomain(c(c(X_401)))) != forward_box(one,X_401)
| c(domain(c(domain(X_401)))) != c(antidomain(c(c(X_401))))
| c(domain(c(domain(X_401)))) = forward_box(one,X_401) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(domain(c(domain(X_401)))))),bind(Y,$fot(c(antidomain(c(c(X_401)))))),bind(Z,$fot(forward_box(one,X_401)))]]) ).
cnf(refute_0_1153,plain,
( c(antidomain(c(c(X_401)))) != forward_box(one,X_401)
| c(domain(c(domain(X_401)))) = forward_box(one,X_401) ),
inference(resolve,[$cnf( $equal(c(domain(c(domain(X_401)))),c(antidomain(c(c(X_401))))) )],[refute_0_1151,refute_0_1152]) ).
cnf(refute_0_1154,plain,
c(domain(c(domain(X_401)))) = forward_box(one,X_401),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(X_401)))),forward_box(one,X_401)) )],[refute_0_1134,refute_0_1153]) ).
cnf(refute_0_1155,plain,
( c(domain(c(domain(X_401)))) != forward_box(one,X_401)
| c(domain(c(domain(X_401)))) != multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))
| forward_box(one,X_401) = multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) ),
introduced(tautology,[equality,[$cnf( $equal(c(domain(c(domain(X_401)))),multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))) ),[0],$fot(forward_box(one,X_401))]]) ).
cnf(refute_0_1156,plain,
( c(domain(c(domain(X_401)))) != multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))
| forward_box(one,X_401) = multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) ),
inference(resolve,[$cnf( $equal(c(domain(c(domain(X_401)))),forward_box(one,X_401)) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
domain_difference(X_87,domain(X0)) = multiplication(domain(X_87),antidomain(domain(X0))),
inference(subst,[],[refute_0_163:[bind(X0,$fot(X_87)),bind(X1,$fot(domain(X0)))]]) ).
cnf(refute_0_1158,plain,
( antidomain(domain(X0)) != c(X0)
| domain_difference(X_87,domain(X0)) != multiplication(domain(X_87),antidomain(domain(X0)))
| domain_difference(X_87,domain(X0)) = multiplication(domain(X_87),c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X_87,domain(X0)),multiplication(domain(X_87),antidomain(domain(X0)))) ),[1,1],$fot(c(X0))]]) ).
cnf(refute_0_1159,plain,
( domain_difference(X_87,domain(X0)) != multiplication(domain(X_87),antidomain(domain(X0)))
| domain_difference(X_87,domain(X0)) = multiplication(domain(X_87),c(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_178,refute_0_1158]) ).
cnf(refute_0_1160,plain,
domain_difference(X_87,domain(X0)) = multiplication(domain(X_87),c(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_87,domain(X0)),multiplication(domain(X_87),antidomain(domain(X0)))) )],[refute_0_1157,refute_0_1159]) ).
cnf(refute_0_1161,plain,
domain_difference(domain(X0),domain(X_95)) = multiplication(domain(domain(X0)),c(X_95)),
inference(subst,[],[refute_0_1160:[bind(X0,$fot(X_95)),bind(X_87,$fot(domain(X0)))]]) ).
cnf(refute_0_1162,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain_difference(domain(X0),domain(X_95)) != multiplication(domain(domain(X0)),c(X_95))
| domain_difference(domain(X0),domain(X_95)) = multiplication(antidomain(c(X0)),c(X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X0),domain(X_95)),multiplication(domain(domain(X0)),c(X_95))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1163,plain,
( domain_difference(domain(X0),domain(X_95)) != multiplication(domain(domain(X0)),c(X_95))
| domain_difference(domain(X0),domain(X_95)) = multiplication(antidomain(c(X0)),c(X_95)) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_1032,refute_0_1162]) ).
cnf(refute_0_1164,plain,
domain_difference(domain(X0),domain(X_95)) = multiplication(antidomain(c(X0)),c(X_95)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),domain(X_95)),multiplication(domain(domain(X0)),c(X_95))) )],[refute_0_1161,refute_0_1163]) ).
cnf(refute_0_1165,plain,
domain_difference(domain(c(c(X1))),domain(X_376)) = multiplication(antidomain(c(c(c(X1)))),c(X_376)),
inference(subst,[],[refute_0_1164:[bind(X0,$fot(c(c(X1)))),bind(X_95,$fot(X_376))]]) ).
cnf(refute_0_1166,plain,
( antidomain(c(c(c(X1)))) != forward_box(one,X1)
| domain_difference(domain(c(c(X1))),domain(X_376)) != multiplication(antidomain(c(c(c(X1)))),c(X_376))
| domain_difference(domain(c(c(X1))),domain(X_376)) = multiplication(forward_box(one,X1),c(X_376)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(c(c(X1))),domain(X_376)),multiplication(antidomain(c(c(c(X1)))),c(X_376))) ),[1,0],$fot(forward_box(one,X1))]]) ).
cnf(refute_0_1167,plain,
( domain_difference(domain(c(c(X1))),domain(X_376)) != multiplication(antidomain(c(c(c(X1)))),c(X_376))
| domain_difference(domain(c(c(X1))),domain(X_376)) = multiplication(forward_box(one,X1),c(X_376)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X1)))),forward_box(one,X1)) )],[refute_0_1095,refute_0_1166]) ).
cnf(refute_0_1168,plain,
domain_difference(domain(c(c(X1))),domain(X_376)) = multiplication(forward_box(one,X1),c(X_376)),
inference(resolve,[$cnf( $equal(domain_difference(domain(c(c(X1))),domain(X_376)),multiplication(antidomain(c(c(c(X1)))),c(X_376))) )],[refute_0_1165,refute_0_1167]) ).
cnf(refute_0_1169,plain,
domain_difference(domain(c(c(X1))),domain(X_376)) = domain_difference(domain(c(c(X1))),domain(X_376)),
introduced(tautology,[refl,[$fot(domain_difference(domain(c(c(X1))),domain(X_376)))]]) ).
cnf(refute_0_1170,plain,
( domain(c(c(X1))) != c(c(domain(X1)))
| domain_difference(domain(c(c(X1))),domain(X_376)) != domain_difference(domain(c(c(X1))),domain(X_376))
| domain_difference(domain(c(c(X1))),domain(X_376)) = domain_difference(c(c(domain(X1))),domain(X_376)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(c(c(X1))),domain(X_376)),domain_difference(domain(c(c(X1))),domain(X_376))) ),[1,0],$fot(c(c(domain(X1))))]]) ).
cnf(refute_0_1171,plain,
( domain(c(c(X1))) != c(c(domain(X1)))
| domain_difference(domain(c(c(X1))),domain(X_376)) = domain_difference(c(c(domain(X1))),domain(X_376)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(c(c(X1))),domain(X_376)),domain_difference(domain(c(c(X1))),domain(X_376))) )],[refute_0_1169,refute_0_1170]) ).
cnf(refute_0_1172,plain,
domain_difference(domain(c(c(X1))),domain(X_376)) = domain_difference(c(c(domain(X1))),domain(X_376)),
inference(resolve,[$cnf( $equal(domain(c(c(X1))),c(c(domain(X1)))) )],[refute_0_1111,refute_0_1171]) ).
cnf(refute_0_1173,plain,
( domain_difference(domain(c(c(X1))),domain(X_376)) != domain_difference(c(c(domain(X1))),domain(X_376))
| domain_difference(domain(c(c(X1))),domain(X_376)) != multiplication(forward_box(one,X1),c(X_376))
| domain_difference(c(c(domain(X1))),domain(X_376)) = multiplication(forward_box(one,X1),c(X_376)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(c(c(X1))),domain(X_376)),multiplication(forward_box(one,X1),c(X_376))) ),[0],$fot(domain_difference(c(c(domain(X1))),domain(X_376)))]]) ).
cnf(refute_0_1174,plain,
( domain_difference(domain(c(c(X1))),domain(X_376)) != multiplication(forward_box(one,X1),c(X_376))
| domain_difference(c(c(domain(X1))),domain(X_376)) = multiplication(forward_box(one,X1),c(X_376)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(c(c(X1))),domain(X_376)),domain_difference(c(c(domain(X1))),domain(X_376))) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
domain_difference(c(c(domain(X1))),domain(X_376)) = multiplication(forward_box(one,X1),c(X_376)),
inference(resolve,[$cnf( $equal(domain_difference(domain(c(c(X1))),domain(X_376)),multiplication(forward_box(one,X1),c(X_376))) )],[refute_0_1168,refute_0_1174]) ).
cnf(refute_0_1176,plain,
domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) = multiplication(forward_box(one,X_401),c(c(domain(X_401)))),
inference(subst,[],[refute_0_1175:[bind(X1,$fot(X_401)),bind(X_376,$fot(c(domain(X_401))))]]) ).
cnf(refute_0_1177,plain,
( domain_difference(c(c(domain(X1))),X_109) != multiplication(forward_box(one,X1),antidomain(X_109))
| multiplication(forward_box(one,X1),antidomain(X_109)) = domain_difference(c(c(domain(X1))),X_109) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain_difference(c(c(domain(X1))),X_109))),bind(Y,$fot(multiplication(forward_box(one,X1),antidomain(X_109))))]]) ).
cnf(refute_0_1178,plain,
multiplication(forward_box(one,X1),antidomain(X_109)) = domain_difference(c(c(domain(X1))),X_109),
inference(resolve,[$cnf( $equal(domain_difference(c(c(domain(X1))),X_109),multiplication(forward_box(one,X1),antidomain(X_109))) )],[refute_0_1118,refute_0_1177]) ).
cnf(refute_0_1179,plain,
multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) = domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))),
inference(subst,[],[refute_0_1178:[bind(X1,$fot(X_401)),bind(X_109,$fot(domain(c(domain(X_401)))))]]) ).
cnf(refute_0_1180,plain,
( domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) != multiplication(forward_box(one,X_401),c(c(domain(X_401))))
| multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) != domain_difference(c(c(domain(X_401))),domain(c(domain(X_401))))
| multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) = multiplication(forward_box(one,X_401),c(c(domain(X_401)))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))))),bind(Y,$fot(domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))))),bind(Z,$fot(multiplication(forward_box(one,X_401),c(c(domain(X_401))))))]]) ).
cnf(refute_0_1181,plain,
( domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))) != multiplication(forward_box(one,X_401),c(c(domain(X_401))))
| multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) = multiplication(forward_box(one,X_401),c(c(domain(X_401)))) ),
inference(resolve,[$cnf( $equal(multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))),domain_difference(c(c(domain(X_401))),domain(c(domain(X_401))))) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) = multiplication(forward_box(one,X_401),c(c(domain(X_401)))),
inference(resolve,[$cnf( $equal(domain_difference(c(c(domain(X_401))),domain(c(domain(X_401)))),multiplication(forward_box(one,X_401),c(c(domain(X_401))))) )],[refute_0_1176,refute_0_1181]) ).
cnf(refute_0_1183,plain,
( forward_box(one,X_401) != multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))
| multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))) != multiplication(forward_box(one,X_401),c(c(domain(X_401))))
| forward_box(one,X_401) = multiplication(forward_box(one,X_401),c(c(domain(X_401)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(forward_box(one,X_401),multiplication(forward_box(one,X_401),c(c(domain(X_401))))) ),[0],$fot(multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))))]]) ).
cnf(refute_0_1184,plain,
( forward_box(one,X_401) != multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))
| forward_box(one,X_401) = multiplication(forward_box(one,X_401),c(c(domain(X_401)))) ),
inference(resolve,[$cnf( $equal(multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401))))),multiplication(forward_box(one,X_401),c(c(domain(X_401))))) )],[refute_0_1182,refute_0_1183]) ).
cnf(refute_0_1185,plain,
( c(domain(c(domain(X_401)))) != multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))
| forward_box(one,X_401) = multiplication(forward_box(one,X_401),c(c(domain(X_401)))) ),
inference(resolve,[$cnf( $equal(forward_box(one,X_401),multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))) )],[refute_0_1156,refute_0_1184]) ).
cnf(refute_0_1186,plain,
forward_box(one,X_401) = multiplication(forward_box(one,X_401),c(c(domain(X_401)))),
inference(resolve,[$cnf( $equal(c(domain(c(domain(X_401)))),multiplication(forward_box(one,X_401),antidomain(domain(c(domain(X_401)))))) )],[refute_0_1129,refute_0_1185]) ).
cnf(refute_0_1187,plain,
forward_box(one,X_511) = multiplication(forward_box(one,X_511),c(c(domain(X_511)))),
inference(subst,[],[refute_0_1186:[bind(X_401,$fot(X_511))]]) ).
cnf(refute_0_1188,plain,
( forward_box(one,X_511) != multiplication(forward_box(one,X_511),c(c(domain(X_511))))
| multiplication(forward_box(one,X_511),c(c(domain(X_511)))) = forward_box(one,X_511) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(one,X_511))),bind(Y,$fot(multiplication(forward_box(one,X_511),c(c(domain(X_511))))))]]) ).
cnf(refute_0_1189,plain,
multiplication(forward_box(one,X_511),c(c(domain(X_511)))) = forward_box(one,X_511),
inference(resolve,[$cnf( $equal(forward_box(one,X_511),multiplication(forward_box(one,X_511),c(c(domain(X_511))))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
( multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) != addition(c(c(domain(X_511))),multiplication(forward_box(one,X_511),c(c(domain(X_511)))))
| multiplication(forward_box(one,X_511),c(c(domain(X_511)))) != forward_box(one,X_511)
| multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = addition(c(c(domain(X_511))),forward_box(one,X_511)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),addition(c(c(domain(X_511))),multiplication(forward_box(one,X_511),c(c(domain(X_511)))))) ),[1,1],$fot(forward_box(one,X_511))]]) ).
cnf(refute_0_1191,plain,
( multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) != addition(c(c(domain(X_511))),multiplication(forward_box(one,X_511),c(c(domain(X_511)))))
| multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = addition(c(c(domain(X_511))),forward_box(one,X_511)) ),
inference(resolve,[$cnf( $equal(multiplication(forward_box(one,X_511),c(c(domain(X_511)))),forward_box(one,X_511)) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = addition(c(c(domain(X_511))),forward_box(one,X_511)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),addition(c(c(domain(X_511))),multiplication(forward_box(one,X_511),c(c(domain(X_511)))))) )],[refute_0_1088,refute_0_1191]) ).
cnf(refute_0_1193,plain,
multiplication(one,c(c(domain(X_511)))) = c(c(domain(X_511))),
inference(subst,[],[refute_0_140:[bind(A,$fot(c(c(domain(X_511)))))]]) ).
cnf(refute_0_1194,plain,
one = addition(one,domain(antidomain(X_4))),
inference(subst,[],[refute_0_236:[bind(X_142,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_1195,plain,
( domain(antidomain(X_4)) != c(X_4)
| one != addition(one,domain(antidomain(X_4)))
| one = addition(one,c(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,domain(antidomain(X_4)))) ),[1,1],$fot(c(X_4))]]) ).
cnf(refute_0_1196,plain,
( one != addition(one,domain(antidomain(X_4)))
| one = addition(one,c(X_4)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_182,refute_0_1195]) ).
cnf(refute_0_1197,plain,
one = addition(one,c(X_4)),
inference(resolve,[$cnf( $equal(one,addition(one,domain(antidomain(X_4)))) )],[refute_0_1194,refute_0_1196]) ).
cnf(refute_0_1198,plain,
one = addition(one,c(forward_diamond(X0,c(X1)))),
inference(subst,[],[refute_0_1197:[bind(X_4,$fot(forward_diamond(X0,c(X1))))]]) ).
cnf(refute_0_1199,plain,
( forward_box(X0,X1) != c(forward_diamond(X0,c(X1)))
| c(forward_diamond(X0,c(X1))) = forward_box(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(X0,X1))),bind(Y,$fot(c(forward_diamond(X0,c(X1)))))]]) ).
cnf(refute_0_1200,plain,
c(forward_diamond(X0,c(X1))) = forward_box(X0,X1),
inference(resolve,[$cnf( $equal(forward_box(X0,X1),c(forward_diamond(X0,c(X1)))) )],[refute_0_1053,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( c(forward_diamond(X0,c(X1))) != forward_box(X0,X1)
| one != addition(one,c(forward_diamond(X0,c(X1))))
| one = addition(one,forward_box(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,c(forward_diamond(X0,c(X1))))) ),[1,1],$fot(forward_box(X0,X1))]]) ).
cnf(refute_0_1202,plain,
( one != addition(one,c(forward_diamond(X0,c(X1))))
| one = addition(one,forward_box(X0,X1)) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,c(X1))),forward_box(X0,X1)) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
one = addition(one,forward_box(X0,X1)),
inference(resolve,[$cnf( $equal(one,addition(one,c(forward_diamond(X0,c(X1))))) )],[refute_0_1198,refute_0_1202]) ).
cnf(refute_0_1204,plain,
( one != addition(one,forward_box(X0,X1))
| addition(one,forward_box(X0,X1)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(addition(one,forward_box(X0,X1))))]]) ).
cnf(refute_0_1205,plain,
addition(one,forward_box(X0,X1)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,forward_box(X0,X1))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
addition(one,forward_box(one,X_511)) = one,
inference(subst,[],[refute_0_1205:[bind(X0,$fot(one)),bind(X1,$fot(X_511))]]) ).
cnf(refute_0_1207,plain,
multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))))]]) ).
cnf(refute_0_1208,plain,
( addition(one,forward_box(one,X_511)) != one
| multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) != multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511))))
| multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = multiplication(one,c(c(domain(X_511)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1209,plain,
( addition(one,forward_box(one,X_511)) != one
| multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = multiplication(one,c(c(domain(X_511)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511))))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = multiplication(one,c(c(domain(X_511)))),
inference(resolve,[$cnf( $equal(addition(one,forward_box(one,X_511)),one) )],[refute_0_1206,refute_0_1209]) ).
cnf(refute_0_1211,plain,
( multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) != multiplication(one,c(c(domain(X_511))))
| multiplication(one,c(c(domain(X_511)))) != c(c(domain(X_511)))
| multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = c(c(domain(X_511))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))))),bind(Y,$fot(multiplication(one,c(c(domain(X_511)))))),bind(Z,$fot(c(c(domain(X_511)))))]]) ).
cnf(refute_0_1212,plain,
( multiplication(one,c(c(domain(X_511)))) != c(c(domain(X_511)))
| multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = c(c(domain(X_511))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),multiplication(one,c(c(domain(X_511))))) )],[refute_0_1210,refute_0_1211]) ).
cnf(refute_0_1213,plain,
multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) = c(c(domain(X_511))),
inference(resolve,[$cnf( $equal(multiplication(one,c(c(domain(X_511)))),c(c(domain(X_511)))) )],[refute_0_1193,refute_0_1212]) ).
cnf(refute_0_1214,plain,
( multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) != addition(c(c(domain(X_511))),forward_box(one,X_511))
| multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) != c(c(domain(X_511)))
| c(c(domain(X_511))) = addition(c(c(domain(X_511))),forward_box(one,X_511)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),addition(c(c(domain(X_511))),forward_box(one,X_511))) ),[0],$fot(c(c(domain(X_511))))]]) ).
cnf(refute_0_1215,plain,
( multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) != addition(c(c(domain(X_511))),forward_box(one,X_511))
| c(c(domain(X_511))) = addition(c(c(domain(X_511))),forward_box(one,X_511)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),c(c(domain(X_511)))) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
addition(antidomain(antidomain(X_6)),c(antidomain(X_6))) = c(antidomain(X_6)),
inference(subst,[],[refute_0_339:[bind(X_245,$fot(antidomain(X_6)))]]) ).
cnf(refute_0_1217,plain,
( addition(antidomain(antidomain(X_6)),c(antidomain(X_6))) != c(antidomain(X_6))
| c(antidomain(X_6)) != antidomain(c(X_6))
| addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) = c(antidomain(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_6)),c(antidomain(X_6))),c(antidomain(X_6))) ),[0,1],$fot(antidomain(c(X_6)))]]) ).
cnf(refute_0_1218,plain,
( addition(antidomain(antidomain(X_6)),c(antidomain(X_6))) != c(antidomain(X_6))
| addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) = c(antidomain(X_6)) ),
inference(resolve,[$cnf( $equal(c(antidomain(X_6)),antidomain(c(X_6))) )],[refute_0_1028,refute_0_1217]) ).
cnf(refute_0_1219,plain,
addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) = c(antidomain(X_6)),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_6)),c(antidomain(X_6))),c(antidomain(X_6))) )],[refute_0_1216,refute_0_1218]) ).
cnf(refute_0_1220,plain,
antidomain(antidomain(X_6)) = domain(X_6),
inference(subst,[],[refute_0_8:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_1221,plain,
addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) = addition(antidomain(antidomain(X_6)),antidomain(c(X_6))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_6)),antidomain(c(X_6))))]]) ).
cnf(refute_0_1222,plain,
( addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) != addition(antidomain(antidomain(X_6)),antidomain(c(X_6)))
| antidomain(antidomain(X_6)) != domain(X_6)
| addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) = addition(domain(X_6),antidomain(c(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(c(X_6))),addition(antidomain(antidomain(X_6)),antidomain(c(X_6)))) ),[1,0],$fot(domain(X_6))]]) ).
cnf(refute_0_1223,plain,
( antidomain(antidomain(X_6)) != domain(X_6)
| addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) = addition(domain(X_6),antidomain(c(X_6))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(c(X_6))),addition(antidomain(antidomain(X_6)),antidomain(c(X_6)))) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) = addition(domain(X_6),antidomain(c(X_6))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_6)),domain(X_6)) )],[refute_0_1220,refute_0_1223]) ).
cnf(refute_0_1225,plain,
( addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) != addition(domain(X_6),antidomain(c(X_6)))
| addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) != c(antidomain(X_6))
| addition(domain(X_6),antidomain(c(X_6))) = c(antidomain(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(c(X_6))),c(antidomain(X_6))) ),[0],$fot(addition(domain(X_6),antidomain(c(X_6))))]]) ).
cnf(refute_0_1226,plain,
( addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) != c(antidomain(X_6))
| addition(domain(X_6),antidomain(c(X_6))) = c(antidomain(X_6)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(c(X_6))),addition(domain(X_6),antidomain(c(X_6)))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
( addition(domain(X_6),antidomain(c(X_6))) != c(antidomain(X_6))
| c(antidomain(X_6)) != antidomain(c(X_6))
| addition(domain(X_6),antidomain(c(X_6))) = antidomain(c(X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(X_6),antidomain(c(X_6))),antidomain(c(X_6))) ),[0],$fot(c(antidomain(X_6)))]]) ).
cnf(refute_0_1228,plain,
( addition(domain(X_6),antidomain(c(X_6))) != c(antidomain(X_6))
| addition(domain(X_6),antidomain(c(X_6))) = antidomain(c(X_6)) ),
inference(resolve,[$cnf( $equal(c(antidomain(X_6)),antidomain(c(X_6))) )],[refute_0_1028,refute_0_1227]) ).
cnf(refute_0_1229,plain,
( addition(antidomain(antidomain(X_6)),antidomain(c(X_6))) != c(antidomain(X_6))
| addition(domain(X_6),antidomain(c(X_6))) = antidomain(c(X_6)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_6),antidomain(c(X_6))),c(antidomain(X_6))) )],[refute_0_1226,refute_0_1228]) ).
cnf(refute_0_1230,plain,
addition(domain(X_6),antidomain(c(X_6))) = antidomain(c(X_6)),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_6)),antidomain(c(X_6))),c(antidomain(X_6))) )],[refute_0_1219,refute_0_1229]) ).
cnf(refute_0_1231,plain,
addition(domain(c(c(X1))),antidomain(c(c(c(X1))))) = antidomain(c(c(c(X1)))),
inference(subst,[],[refute_0_1230:[bind(X_6,$fot(c(c(X1))))]]) ).
cnf(refute_0_1232,plain,
( addition(domain(c(c(X1))),antidomain(c(c(c(X1))))) != antidomain(c(c(c(X1))))
| antidomain(c(c(c(X1)))) != forward_box(one,X1)
| addition(domain(c(c(X1))),forward_box(one,X1)) = antidomain(c(c(c(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(c(c(X1))),antidomain(c(c(c(X1))))),antidomain(c(c(c(X1))))) ),[0,1],$fot(forward_box(one,X1))]]) ).
cnf(refute_0_1233,plain,
( addition(domain(c(c(X1))),antidomain(c(c(c(X1))))) != antidomain(c(c(c(X1))))
| addition(domain(c(c(X1))),forward_box(one,X1)) = antidomain(c(c(c(X1)))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X1)))),forward_box(one,X1)) )],[refute_0_1095,refute_0_1232]) ).
cnf(refute_0_1234,plain,
addition(domain(c(c(X1))),forward_box(one,X1)) = antidomain(c(c(c(X1)))),
inference(resolve,[$cnf( $equal(addition(domain(c(c(X1))),antidomain(c(c(c(X1))))),antidomain(c(c(c(X1))))) )],[refute_0_1231,refute_0_1233]) ).
cnf(refute_0_1235,plain,
addition(forward_box(one,X1),domain(c(c(X1)))) = addition(forward_box(one,X1),domain(c(c(X1)))),
introduced(tautology,[refl,[$fot(addition(forward_box(one,X1),domain(c(c(X1)))))]]) ).
cnf(refute_0_1236,plain,
( addition(forward_box(one,X1),domain(c(c(X1)))) != addition(forward_box(one,X1),domain(c(c(X1))))
| domain(c(c(X1))) != c(c(domain(X1)))
| addition(forward_box(one,X1),domain(c(c(X1)))) = addition(forward_box(one,X1),c(c(domain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_box(one,X1),domain(c(c(X1)))),addition(forward_box(one,X1),domain(c(c(X1))))) ),[1,1],$fot(c(c(domain(X1))))]]) ).
cnf(refute_0_1237,plain,
( domain(c(c(X1))) != c(c(domain(X1)))
| addition(forward_box(one,X1),domain(c(c(X1)))) = addition(forward_box(one,X1),c(c(domain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(forward_box(one,X1),domain(c(c(X1)))),addition(forward_box(one,X1),domain(c(c(X1))))) )],[refute_0_1235,refute_0_1236]) ).
cnf(refute_0_1238,plain,
addition(forward_box(one,X1),domain(c(c(X1)))) = addition(forward_box(one,X1),c(c(domain(X1)))),
inference(resolve,[$cnf( $equal(domain(c(c(X1))),c(c(domain(X1)))) )],[refute_0_1111,refute_0_1237]) ).
cnf(refute_0_1239,plain,
addition(domain(c(c(X1))),forward_box(one,X1)) = addition(forward_box(one,X1),domain(c(c(X1)))),
inference(subst,[],[refute_0_66:[bind(A,$fot(forward_box(one,X1))),bind(B,$fot(domain(c(c(X1)))))]]) ).
cnf(refute_0_1240,plain,
( addition(domain(c(c(X1))),forward_box(one,X1)) != addition(forward_box(one,X1),domain(c(c(X1))))
| addition(forward_box(one,X1),domain(c(c(X1)))) != addition(forward_box(one,X1),c(c(domain(X1))))
| addition(domain(c(c(X1))),forward_box(one,X1)) = addition(forward_box(one,X1),c(c(domain(X1)))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(domain(c(c(X1))),forward_box(one,X1)))),bind(Y,$fot(addition(forward_box(one,X1),domain(c(c(X1)))))),bind(Z,$fot(addition(forward_box(one,X1),c(c(domain(X1))))))]]) ).
cnf(refute_0_1241,plain,
( addition(forward_box(one,X1),domain(c(c(X1)))) != addition(forward_box(one,X1),c(c(domain(X1))))
| addition(domain(c(c(X1))),forward_box(one,X1)) = addition(forward_box(one,X1),c(c(domain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(domain(c(c(X1))),forward_box(one,X1)),addition(forward_box(one,X1),domain(c(c(X1))))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
addition(domain(c(c(X1))),forward_box(one,X1)) = addition(forward_box(one,X1),c(c(domain(X1)))),
inference(resolve,[$cnf( $equal(addition(forward_box(one,X1),domain(c(c(X1)))),addition(forward_box(one,X1),c(c(domain(X1))))) )],[refute_0_1238,refute_0_1241]) ).
cnf(refute_0_1243,plain,
( addition(domain(c(c(X1))),forward_box(one,X1)) != addition(forward_box(one,X1),c(c(domain(X1))))
| addition(domain(c(c(X1))),forward_box(one,X1)) != antidomain(c(c(c(X1))))
| addition(forward_box(one,X1),c(c(domain(X1)))) = antidomain(c(c(c(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(c(c(X1))),forward_box(one,X1)),antidomain(c(c(c(X1))))) ),[0],$fot(addition(forward_box(one,X1),c(c(domain(X1)))))]]) ).
cnf(refute_0_1244,plain,
( addition(domain(c(c(X1))),forward_box(one,X1)) != antidomain(c(c(c(X1))))
| addition(forward_box(one,X1),c(c(domain(X1)))) = antidomain(c(c(c(X1)))) ),
inference(resolve,[$cnf( $equal(addition(domain(c(c(X1))),forward_box(one,X1)),addition(forward_box(one,X1),c(c(domain(X1))))) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
( addition(forward_box(one,X1),c(c(domain(X1)))) != antidomain(c(c(c(X1))))
| antidomain(c(c(c(X1)))) != forward_box(one,X1)
| addition(forward_box(one,X1),c(c(domain(X1)))) = forward_box(one,X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(forward_box(one,X1),c(c(domain(X1)))),forward_box(one,X1)) ),[0],$fot(antidomain(c(c(c(X1)))))]]) ).
cnf(refute_0_1246,plain,
( addition(forward_box(one,X1),c(c(domain(X1)))) != antidomain(c(c(c(X1))))
| addition(forward_box(one,X1),c(c(domain(X1)))) = forward_box(one,X1) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X1)))),forward_box(one,X1)) )],[refute_0_1095,refute_0_1245]) ).
cnf(refute_0_1247,plain,
( addition(domain(c(c(X1))),forward_box(one,X1)) != antidomain(c(c(c(X1))))
| addition(forward_box(one,X1),c(c(domain(X1)))) = forward_box(one,X1) ),
inference(resolve,[$cnf( $equal(addition(forward_box(one,X1),c(c(domain(X1)))),antidomain(c(c(c(X1))))) )],[refute_0_1244,refute_0_1246]) ).
cnf(refute_0_1248,plain,
addition(forward_box(one,X1),c(c(domain(X1)))) = forward_box(one,X1),
inference(resolve,[$cnf( $equal(addition(domain(c(c(X1))),forward_box(one,X1)),antidomain(c(c(c(X1))))) )],[refute_0_1234,refute_0_1247]) ).
cnf(refute_0_1249,plain,
addition(forward_box(one,X_511),c(c(domain(X_511)))) = forward_box(one,X_511),
inference(subst,[],[refute_0_1248:[bind(X1,$fot(X_511))]]) ).
cnf(refute_0_1250,plain,
addition(c(c(domain(X_511))),forward_box(one,X_511)) = addition(forward_box(one,X_511),c(c(domain(X_511)))),
inference(subst,[],[refute_0_66:[bind(A,$fot(forward_box(one,X_511))),bind(B,$fot(c(c(domain(X_511)))))]]) ).
cnf(refute_0_1251,plain,
( addition(c(c(domain(X_511))),forward_box(one,X_511)) != addition(forward_box(one,X_511),c(c(domain(X_511))))
| addition(forward_box(one,X_511),c(c(domain(X_511)))) != forward_box(one,X_511)
| addition(c(c(domain(X_511))),forward_box(one,X_511)) = forward_box(one,X_511) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(addition(c(c(domain(X_511))),forward_box(one,X_511)))),bind(Y,$fot(addition(forward_box(one,X_511),c(c(domain(X_511)))))),bind(Z,$fot(forward_box(one,X_511)))]]) ).
cnf(refute_0_1252,plain,
( addition(forward_box(one,X_511),c(c(domain(X_511)))) != forward_box(one,X_511)
| addition(c(c(domain(X_511))),forward_box(one,X_511)) = forward_box(one,X_511) ),
inference(resolve,[$cnf( $equal(addition(c(c(domain(X_511))),forward_box(one,X_511)),addition(forward_box(one,X_511),c(c(domain(X_511))))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
addition(c(c(domain(X_511))),forward_box(one,X_511)) = forward_box(one,X_511),
inference(resolve,[$cnf( $equal(addition(forward_box(one,X_511),c(c(domain(X_511)))),forward_box(one,X_511)) )],[refute_0_1249,refute_0_1252]) ).
cnf(refute_0_1254,plain,
( addition(c(c(domain(X_511))),forward_box(one,X_511)) != forward_box(one,X_511)
| c(c(domain(X_511))) != addition(c(c(domain(X_511))),forward_box(one,X_511))
| c(c(domain(X_511))) = forward_box(one,X_511) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(domain(X_511))),addition(c(c(domain(X_511))),forward_box(one,X_511))) ),[1],$fot(forward_box(one,X_511))]]) ).
cnf(refute_0_1255,plain,
( c(c(domain(X_511))) != addition(c(c(domain(X_511))),forward_box(one,X_511))
| c(c(domain(X_511))) = forward_box(one,X_511) ),
inference(resolve,[$cnf( $equal(addition(c(c(domain(X_511))),forward_box(one,X_511)),forward_box(one,X_511)) )],[refute_0_1253,refute_0_1254]) ).
cnf(refute_0_1256,plain,
( multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))) != addition(c(c(domain(X_511))),forward_box(one,X_511))
| c(c(domain(X_511))) = forward_box(one,X_511) ),
inference(resolve,[$cnf( $equal(c(c(domain(X_511))),addition(c(c(domain(X_511))),forward_box(one,X_511))) )],[refute_0_1215,refute_0_1255]) ).
cnf(refute_0_1257,plain,
c(c(domain(X_511))) = forward_box(one,X_511),
inference(resolve,[$cnf( $equal(multiplication(addition(one,forward_box(one,X_511)),c(c(domain(X_511)))),addition(c(c(domain(X_511))),forward_box(one,X_511))) )],[refute_0_1192,refute_0_1256]) ).
cnf(refute_0_1258,plain,
c(c(domain(X_7))) = forward_box(one,X_7),
inference(subst,[],[refute_0_1257:[bind(X_511,$fot(X_7))]]) ).
cnf(refute_0_1259,plain,
antidomain(c(c(domain(X_7)))) = antidomain(c(c(domain(X_7)))),
introduced(tautology,[refl,[$fot(antidomain(c(c(domain(X_7)))))]]) ).
cnf(refute_0_1260,plain,
( antidomain(c(c(domain(X_7)))) != antidomain(c(c(domain(X_7))))
| c(c(domain(X_7))) != forward_box(one,X_7)
| antidomain(c(c(domain(X_7)))) = antidomain(forward_box(one,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(c(domain(X_7)))),antidomain(c(c(domain(X_7))))) ),[1,0],$fot(forward_box(one,X_7))]]) ).
cnf(refute_0_1261,plain,
( c(c(domain(X_7))) != forward_box(one,X_7)
| antidomain(c(c(domain(X_7)))) = antidomain(forward_box(one,X_7)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(domain(X_7)))),antidomain(c(c(domain(X_7))))) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
antidomain(c(c(domain(X_7)))) = antidomain(forward_box(one,X_7)),
inference(resolve,[$cnf( $equal(c(c(domain(X_7))),forward_box(one,X_7)) )],[refute_0_1258,refute_0_1261]) ).
cnf(refute_0_1263,plain,
( antidomain(c(c(domain(X_7)))) != antidomain(forward_box(one,X_7))
| c(c(c(X_7))) != antidomain(c(c(domain(X_7))))
| c(c(c(X_7))) = antidomain(forward_box(one,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(c(X_7))),antidomain(c(c(domain(X_7))))) ),[1],$fot(antidomain(forward_box(one,X_7)))]]) ).
cnf(refute_0_1264,plain,
( c(c(c(X_7))) != antidomain(c(c(domain(X_7))))
| c(c(c(X_7))) = antidomain(forward_box(one,X_7)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(domain(X_7)))),antidomain(forward_box(one,X_7))) )],[refute_0_1262,refute_0_1263]) ).
cnf(refute_0_1265,plain,
c(c(c(X_7))) = antidomain(forward_box(one,X_7)),
inference(resolve,[$cnf( $equal(c(c(c(X_7))),antidomain(c(c(domain(X_7))))) )],[refute_0_1087,refute_0_1264]) ).
cnf(refute_0_1266,plain,
c(c(c(X1))) = antidomain(forward_box(one,X1)),
inference(subst,[],[refute_0_1265:[bind(X_7,$fot(X1))]]) ).
cnf(refute_0_1267,plain,
antidomain(c(c(c(X1)))) = antidomain(c(c(c(X1)))),
introduced(tautology,[refl,[$fot(antidomain(c(c(c(X1)))))]]) ).
cnf(refute_0_1268,plain,
( antidomain(c(c(c(X1)))) != antidomain(c(c(c(X1))))
| c(c(c(X1))) != antidomain(forward_box(one,X1))
| antidomain(c(c(c(X1)))) = antidomain(antidomain(forward_box(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(c(c(X1)))),antidomain(c(c(c(X1))))) ),[1,0],$fot(antidomain(forward_box(one,X1)))]]) ).
cnf(refute_0_1269,plain,
( c(c(c(X1))) != antidomain(forward_box(one,X1))
| antidomain(c(c(c(X1)))) = antidomain(antidomain(forward_box(one,X1))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X1)))),antidomain(c(c(c(X1))))) )],[refute_0_1267,refute_0_1268]) ).
cnf(refute_0_1270,plain,
antidomain(c(c(c(X1)))) = antidomain(antidomain(forward_box(one,X1))),
inference(resolve,[$cnf( $equal(c(c(c(X1))),antidomain(forward_box(one,X1))) )],[refute_0_1266,refute_0_1269]) ).
cnf(refute_0_1271,plain,
( antidomain(antidomain(forward_box(one,X1))) != domain(forward_box(one,X1))
| antidomain(c(c(c(X1)))) != antidomain(antidomain(forward_box(one,X1)))
| antidomain(c(c(c(X1)))) = domain(forward_box(one,X1)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(c(c(c(X1)))))),bind(Y,$fot(antidomain(antidomain(forward_box(one,X1))))),bind(Z,$fot(domain(forward_box(one,X1))))]]) ).
cnf(refute_0_1272,plain,
( antidomain(antidomain(forward_box(one,X1))) != domain(forward_box(one,X1))
| antidomain(c(c(c(X1)))) = domain(forward_box(one,X1)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X1)))),antidomain(antidomain(forward_box(one,X1)))) )],[refute_0_1270,refute_0_1271]) ).
cnf(refute_0_1273,plain,
antidomain(c(c(c(X1)))) = domain(forward_box(one,X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(forward_box(one,X1))),domain(forward_box(one,X1))) )],[refute_0_1072,refute_0_1272]) ).
cnf(refute_0_1274,plain,
( antidomain(c(c(c(X1)))) != domain(forward_box(one,X1))
| forward_box(one,X1) != antidomain(c(c(c(X1))))
| forward_box(one,X1) = domain(forward_box(one,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X1),antidomain(c(c(c(X1))))) ),[1],$fot(domain(forward_box(one,X1)))]]) ).
cnf(refute_0_1275,plain,
( forward_box(one,X1) != antidomain(c(c(c(X1))))
| forward_box(one,X1) = domain(forward_box(one,X1)) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X1)))),domain(forward_box(one,X1))) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
forward_box(one,X1) = domain(forward_box(one,X1)),
inference(resolve,[$cnf( $equal(forward_box(one,X1),antidomain(c(c(c(X1))))) )],[refute_0_1071,refute_0_1275]) ).
cnf(refute_0_1277,plain,
forward_box(one,X_515) = domain(forward_box(one,X_515)),
inference(subst,[],[refute_0_1276:[bind(X1,$fot(X_515))]]) ).
cnf(refute_0_1278,plain,
( forward_box(one,X_515) != domain(forward_box(one,X_515))
| domain(forward_box(one,X_515)) = forward_box(one,X_515) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(one,X_515))),bind(Y,$fot(domain(forward_box(one,X_515))))]]) ).
cnf(refute_0_1279,plain,
domain(forward_box(one,X_515)) = forward_box(one,X_515),
inference(resolve,[$cnf( $equal(forward_box(one,X_515),domain(forward_box(one,X_515))) )],[refute_0_1277,refute_0_1278]) ).
cnf(refute_0_1280,plain,
( c(multiplication(X_47,domain(forward_box(one,X_515)))) != antidomain(forward_diamond(X_47,forward_box(one,X_515)))
| domain(forward_box(one,X_515)) != forward_box(one,X_515)
| c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,forward_box(one,X_515))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_47,domain(forward_box(one,X_515)))),antidomain(forward_diamond(X_47,forward_box(one,X_515)))) ),[0,0,1],$fot(forward_box(one,X_515))]]) ).
cnf(refute_0_1281,plain,
( c(multiplication(X_47,domain(forward_box(one,X_515)))) != antidomain(forward_diamond(X_47,forward_box(one,X_515)))
| c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,forward_box(one,X_515))) ),
inference(resolve,[$cnf( $equal(domain(forward_box(one,X_515)),forward_box(one,X_515)) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,forward_box(one,X_515))),
inference(resolve,[$cnf( $equal(c(multiplication(X_47,domain(forward_box(one,X_515)))),antidomain(forward_diamond(X_47,forward_box(one,X_515)))) )],[refute_0_1052,refute_0_1281]) ).
cnf(refute_0_1283,plain,
forward_diamond(X0,forward_box(one,X_515)) = domain(multiplication(X0,domain(forward_box(one,X_515)))),
inference(subst,[],[refute_0_417:[bind(X1,$fot(forward_box(one,X_515)))]]) ).
cnf(refute_0_1284,plain,
( domain(forward_box(one,X_515)) != forward_box(one,X_515)
| forward_diamond(X0,forward_box(one,X_515)) != domain(multiplication(X0,domain(forward_box(one,X_515))))
| forward_diamond(X0,forward_box(one,X_515)) = domain(multiplication(X0,forward_box(one,X_515))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,forward_box(one,X_515)),domain(multiplication(X0,domain(forward_box(one,X_515))))) ),[1,0,1],$fot(forward_box(one,X_515))]]) ).
cnf(refute_0_1285,plain,
( forward_diamond(X0,forward_box(one,X_515)) != domain(multiplication(X0,domain(forward_box(one,X_515))))
| forward_diamond(X0,forward_box(one,X_515)) = domain(multiplication(X0,forward_box(one,X_515))) ),
inference(resolve,[$cnf( $equal(domain(forward_box(one,X_515)),forward_box(one,X_515)) )],[refute_0_1279,refute_0_1284]) ).
cnf(refute_0_1286,plain,
forward_diamond(X0,forward_box(one,X_515)) = domain(multiplication(X0,forward_box(one,X_515))),
inference(resolve,[$cnf( $equal(forward_diamond(X0,forward_box(one,X_515)),domain(multiplication(X0,domain(forward_box(one,X_515))))) )],[refute_0_1283,refute_0_1285]) ).
cnf(refute_0_1287,plain,
forward_diamond(X_47,antidomain(X_4)) = domain(multiplication(X_47,domain(antidomain(X_4)))),
inference(subst,[],[refute_0_417:[bind(X0,$fot(X_47)),bind(X1,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_1288,plain,
( domain(antidomain(X_4)) != c(X_4)
| forward_diamond(X_47,antidomain(X_4)) != domain(multiplication(X_47,domain(antidomain(X_4))))
| forward_diamond(X_47,antidomain(X_4)) = domain(multiplication(X_47,c(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,antidomain(X_4)),domain(multiplication(X_47,domain(antidomain(X_4))))) ),[1,0,1],$fot(c(X_4))]]) ).
cnf(refute_0_1289,plain,
( forward_diamond(X_47,antidomain(X_4)) != domain(multiplication(X_47,domain(antidomain(X_4))))
| forward_diamond(X_47,antidomain(X_4)) = domain(multiplication(X_47,c(X_4))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_182,refute_0_1288]) ).
cnf(refute_0_1290,plain,
forward_diamond(X_47,antidomain(X_4)) = domain(multiplication(X_47,c(X_4))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(X_4)),domain(multiplication(X_47,domain(antidomain(X_4))))) )],[refute_0_1287,refute_0_1289]) ).
cnf(refute_0_1291,plain,
forward_diamond(X_47,antidomain(c(domain(X_513)))) = domain(multiplication(X_47,c(c(domain(X_513))))),
inference(subst,[],[refute_0_1290:[bind(X_4,$fot(c(domain(X_513))))]]) ).
cnf(refute_0_1292,plain,
c(c(domain(X_513))) = forward_box(one,X_513),
inference(subst,[],[refute_0_1257:[bind(X_511,$fot(X_513))]]) ).
cnf(refute_0_1293,plain,
( c(c(domain(X_513))) != forward_box(one,X_513)
| forward_diamond(X_47,antidomain(c(domain(X_513)))) != domain(multiplication(X_47,c(c(domain(X_513)))))
| forward_diamond(X_47,antidomain(c(domain(X_513)))) = domain(multiplication(X_47,forward_box(one,X_513))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,antidomain(c(domain(X_513)))),domain(multiplication(X_47,c(c(domain(X_513)))))) ),[1,0,1],$fot(forward_box(one,X_513))]]) ).
cnf(refute_0_1294,plain,
( forward_diamond(X_47,antidomain(c(domain(X_513)))) != domain(multiplication(X_47,c(c(domain(X_513)))))
| forward_diamond(X_47,antidomain(c(domain(X_513)))) = domain(multiplication(X_47,forward_box(one,X_513))) ),
inference(resolve,[$cnf( $equal(c(c(domain(X_513))),forward_box(one,X_513)) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
forward_diamond(X_47,antidomain(c(domain(X_513)))) = domain(multiplication(X_47,forward_box(one,X_513))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(c(domain(X_513)))),domain(multiplication(X_47,c(c(domain(X_513)))))) )],[refute_0_1291,refute_0_1294]) ).
cnf(refute_0_1296,plain,
antidomain(c(domain(X_513))) = c(c(X_513)),
inference(subst,[],[refute_0_1084:[bind(X_7,$fot(X_513))]]) ).
cnf(refute_0_1297,plain,
forward_diamond(X_47,antidomain(c(domain(X_513)))) = forward_diamond(X_47,antidomain(c(domain(X_513)))),
introduced(tautology,[refl,[$fot(forward_diamond(X_47,antidomain(c(domain(X_513)))))]]) ).
cnf(refute_0_1298,plain,
( antidomain(c(domain(X_513))) != c(c(X_513))
| forward_diamond(X_47,antidomain(c(domain(X_513)))) != forward_diamond(X_47,antidomain(c(domain(X_513))))
| forward_diamond(X_47,antidomain(c(domain(X_513)))) = forward_diamond(X_47,c(c(X_513))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,antidomain(c(domain(X_513)))),forward_diamond(X_47,antidomain(c(domain(X_513))))) ),[1,1],$fot(c(c(X_513)))]]) ).
cnf(refute_0_1299,plain,
( antidomain(c(domain(X_513))) != c(c(X_513))
| forward_diamond(X_47,antidomain(c(domain(X_513)))) = forward_diamond(X_47,c(c(X_513))) ),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(c(domain(X_513)))),forward_diamond(X_47,antidomain(c(domain(X_513))))) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
forward_diamond(X_47,antidomain(c(domain(X_513)))) = forward_diamond(X_47,c(c(X_513))),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_513))),c(c(X_513))) )],[refute_0_1296,refute_0_1299]) ).
cnf(refute_0_1301,plain,
( forward_diamond(X_47,antidomain(c(domain(X_513)))) != domain(multiplication(X_47,forward_box(one,X_513)))
| forward_diamond(X_47,antidomain(c(domain(X_513)))) != forward_diamond(X_47,c(c(X_513)))
| forward_diamond(X_47,c(c(X_513))) = domain(multiplication(X_47,forward_box(one,X_513))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,antidomain(c(domain(X_513)))),domain(multiplication(X_47,forward_box(one,X_513)))) ),[0],$fot(forward_diamond(X_47,c(c(X_513))))]]) ).
cnf(refute_0_1302,plain,
( forward_diamond(X_47,antidomain(c(domain(X_513)))) != domain(multiplication(X_47,forward_box(one,X_513)))
| forward_diamond(X_47,c(c(X_513))) = domain(multiplication(X_47,forward_box(one,X_513))) ),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(c(domain(X_513)))),forward_diamond(X_47,c(c(X_513)))) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
forward_diamond(X_47,c(c(X_513))) = domain(multiplication(X_47,forward_box(one,X_513))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(c(domain(X_513)))),domain(multiplication(X_47,forward_box(one,X_513)))) )],[refute_0_1295,refute_0_1302]) ).
cnf(refute_0_1304,plain,
( forward_diamond(X_47,c(c(X_513))) != domain(multiplication(X_47,forward_box(one,X_513)))
| domain(multiplication(X_47,forward_box(one,X_513))) = forward_diamond(X_47,c(c(X_513))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_diamond(X_47,c(c(X_513))))),bind(Y,$fot(domain(multiplication(X_47,forward_box(one,X_513)))))]]) ).
cnf(refute_0_1305,plain,
domain(multiplication(X_47,forward_box(one,X_513))) = forward_diamond(X_47,c(c(X_513))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,c(c(X_513))),domain(multiplication(X_47,forward_box(one,X_513)))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
domain(multiplication(X0,forward_box(one,X_515))) = forward_diamond(X0,c(c(X_515))),
inference(subst,[],[refute_0_1305:[bind(X_47,$fot(X0)),bind(X_513,$fot(X_515))]]) ).
cnf(refute_0_1307,plain,
( domain(multiplication(X0,forward_box(one,X_515))) != forward_diamond(X0,c(c(X_515)))
| forward_diamond(X0,forward_box(one,X_515)) != domain(multiplication(X0,forward_box(one,X_515)))
| forward_diamond(X0,forward_box(one,X_515)) = forward_diamond(X0,c(c(X_515))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,forward_box(one,X_515)),domain(multiplication(X0,forward_box(one,X_515)))) ),[1],$fot(forward_diamond(X0,c(c(X_515))))]]) ).
cnf(refute_0_1308,plain,
( forward_diamond(X0,forward_box(one,X_515)) != domain(multiplication(X0,forward_box(one,X_515)))
| forward_diamond(X0,forward_box(one,X_515)) = forward_diamond(X0,c(c(X_515))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,forward_box(one,X_515))),forward_diamond(X0,c(c(X_515)))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
forward_diamond(X0,forward_box(one,X_515)) = forward_diamond(X0,c(c(X_515))),
inference(resolve,[$cnf( $equal(forward_diamond(X0,forward_box(one,X_515)),domain(multiplication(X0,forward_box(one,X_515)))) )],[refute_0_1286,refute_0_1308]) ).
cnf(refute_0_1310,plain,
forward_diamond(X_47,forward_box(one,X_515)) = forward_diamond(X_47,c(c(X_515))),
inference(subst,[],[refute_0_1309:[bind(X0,$fot(X_47))]]) ).
cnf(refute_0_1311,plain,
antidomain(forward_diamond(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,forward_box(one,X_515))),
introduced(tautology,[refl,[$fot(antidomain(forward_diamond(X_47,forward_box(one,X_515))))]]) ).
cnf(refute_0_1312,plain,
( antidomain(forward_diamond(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,forward_box(one,X_515)))
| forward_diamond(X_47,forward_box(one,X_515)) != forward_diamond(X_47,c(c(X_515)))
| antidomain(forward_diamond(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,c(c(X_515)))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(forward_diamond(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,forward_box(one,X_515)))) ),[1,0],$fot(forward_diamond(X_47,c(c(X_515))))]]) ).
cnf(refute_0_1313,plain,
( forward_diamond(X_47,forward_box(one,X_515)) != forward_diamond(X_47,c(c(X_515)))
| antidomain(forward_diamond(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,c(c(X_515)))) ),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,forward_box(one,X_515)))) )],[refute_0_1311,refute_0_1312]) ).
cnf(refute_0_1314,plain,
antidomain(forward_diamond(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,c(c(X_515)))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,forward_box(one,X_515)),forward_diamond(X_47,c(c(X_515)))) )],[refute_0_1310,refute_0_1313]) ).
cnf(refute_0_1315,plain,
( antidomain(forward_diamond(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,c(c(X_515))))
| c(multiplication(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,forward_box(one,X_515)))
| c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,c(c(X_515)))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,forward_box(one,X_515)))) ),[1],$fot(antidomain(forward_diamond(X_47,c(c(X_515)))))]]) ).
cnf(refute_0_1316,plain,
( c(multiplication(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,forward_box(one,X_515)))
| c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,c(c(X_515)))) ),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,c(c(X_515))))) )],[refute_0_1314,refute_0_1315]) ).
cnf(refute_0_1317,plain,
c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,c(c(X_515)))),
inference(resolve,[$cnf( $equal(c(multiplication(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,forward_box(one,X_515)))) )],[refute_0_1282,refute_0_1316]) ).
cnf(refute_0_1318,plain,
antidomain(multiplication(X_47,domain(X_515))) = antidomain(forward_diamond(X_47,X_515)),
inference(subst,[],[refute_0_427:[bind(X_48,$fot(X_515))]]) ).
cnf(refute_0_1319,plain,
c(c(domain(X_7))) = domain_difference(antidomain(c(domain(X_7))),c(domain(X_7))),
inference(subst,[],[refute_0_287:[bind(X0,$fot(c(domain(X_7))))]]) ).
cnf(refute_0_1320,plain,
( antidomain(c(domain(X_7))) != c(c(X_7))
| c(c(domain(X_7))) != domain_difference(antidomain(c(domain(X_7))),c(domain(X_7)))
| c(c(domain(X_7))) = domain_difference(c(c(X_7)),c(domain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(domain(X_7))),domain_difference(antidomain(c(domain(X_7))),c(domain(X_7)))) ),[1,0],$fot(c(c(X_7)))]]) ).
cnf(refute_0_1321,plain,
( c(c(domain(X_7))) != domain_difference(antidomain(c(domain(X_7))),c(domain(X_7)))
| c(c(domain(X_7))) = domain_difference(c(c(X_7)),c(domain(X_7))) ),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_7))),c(c(X_7))) )],[refute_0_1084,refute_0_1320]) ).
cnf(refute_0_1322,plain,
c(c(domain(X_7))) = domain_difference(c(c(X_7)),c(domain(X_7))),
inference(resolve,[$cnf( $equal(c(c(domain(X_7))),domain_difference(antidomain(c(domain(X_7))),c(domain(X_7)))) )],[refute_0_1319,refute_0_1321]) ).
cnf(refute_0_1323,plain,
( c(c(domain(X_7))) != domain_difference(c(c(X_7)),c(domain(X_7)))
| c(c(domain(X_7))) != forward_box(one,X_7)
| forward_box(one,X_7) = domain_difference(c(c(X_7)),c(domain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(domain(X_7))),domain_difference(c(c(X_7)),c(domain(X_7)))) ),[0],$fot(forward_box(one,X_7))]]) ).
cnf(refute_0_1324,plain,
( c(c(domain(X_7))) != domain_difference(c(c(X_7)),c(domain(X_7)))
| forward_box(one,X_7) = domain_difference(c(c(X_7)),c(domain(X_7))) ),
inference(resolve,[$cnf( $equal(c(c(domain(X_7))),forward_box(one,X_7)) )],[refute_0_1258,refute_0_1323]) ).
cnf(refute_0_1325,plain,
forward_box(one,X_7) = domain_difference(c(c(X_7)),c(domain(X_7))),
inference(resolve,[$cnf( $equal(c(c(domain(X_7))),domain_difference(c(c(X_7)),c(domain(X_7)))) )],[refute_0_1322,refute_0_1324]) ).
cnf(refute_0_1326,plain,
multiplication(antidomain(X_128),addition(X_128,X_129)) = addition(multiplication(antidomain(X_128),X_128),multiplication(antidomain(X_128),X_129)),
inference(subst,[],[refute_0_29:[bind(A,$fot(antidomain(X_128))),bind(B,$fot(X_128)),bind(C,$fot(X_129))]]) ).
cnf(refute_0_1327,plain,
multiplication(antidomain(X_128),X_128) = zero,
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_128))]]) ).
cnf(refute_0_1328,plain,
( multiplication(antidomain(X_128),X_128) != zero
| multiplication(antidomain(X_128),addition(X_128,X_129)) != addition(multiplication(antidomain(X_128),X_128),multiplication(antidomain(X_128),X_129))
| multiplication(antidomain(X_128),addition(X_128,X_129)) = addition(zero,multiplication(antidomain(X_128),X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_128),addition(X_128,X_129)),addition(multiplication(antidomain(X_128),X_128),multiplication(antidomain(X_128),X_129))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1329,plain,
( multiplication(antidomain(X_128),addition(X_128,X_129)) != addition(multiplication(antidomain(X_128),X_128),multiplication(antidomain(X_128),X_129))
| multiplication(antidomain(X_128),addition(X_128,X_129)) = addition(zero,multiplication(antidomain(X_128),X_129)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_128),X_128),zero) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
multiplication(antidomain(X_128),addition(X_128,X_129)) = addition(zero,multiplication(antidomain(X_128),X_129)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_128),addition(X_128,X_129)),addition(multiplication(antidomain(X_128),X_128),multiplication(antidomain(X_128),X_129))) )],[refute_0_1326,refute_0_1329]) ).
cnf(refute_0_1331,plain,
addition(zero,multiplication(antidomain(X_128),X_129)) = multiplication(antidomain(X_128),X_129),
inference(subst,[],[refute_0_508:[bind(A,$fot(multiplication(antidomain(X_128),X_129)))]]) ).
cnf(refute_0_1332,plain,
( addition(zero,multiplication(antidomain(X_128),X_129)) != multiplication(antidomain(X_128),X_129)
| multiplication(antidomain(X_128),addition(X_128,X_129)) != addition(zero,multiplication(antidomain(X_128),X_129))
| multiplication(antidomain(X_128),addition(X_128,X_129)) = multiplication(antidomain(X_128),X_129) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_128),addition(X_128,X_129)),addition(zero,multiplication(antidomain(X_128),X_129))) ),[1],$fot(multiplication(antidomain(X_128),X_129))]]) ).
cnf(refute_0_1333,plain,
( multiplication(antidomain(X_128),addition(X_128,X_129)) != addition(zero,multiplication(antidomain(X_128),X_129))
| multiplication(antidomain(X_128),addition(X_128,X_129)) = multiplication(antidomain(X_128),X_129) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(antidomain(X_128),X_129)),multiplication(antidomain(X_128),X_129)) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
multiplication(antidomain(X_128),addition(X_128,X_129)) = multiplication(antidomain(X_128),X_129),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_128),addition(X_128,X_129)),addition(zero,multiplication(antidomain(X_128),X_129))) )],[refute_0_1330,refute_0_1333]) ).
cnf(refute_0_1335,plain,
multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),domain(X0))) = multiplication(antidomain(antidomain(X0)),domain(X0)),
inference(subst,[],[refute_0_1334:[bind(X_128,$fot(antidomain(X0))),bind(X_129,$fot(domain(X0)))]]) ).
cnf(refute_0_1336,plain,
( addition(antidomain(X0),domain(X0)) != one
| multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),domain(X0))) != multiplication(antidomain(antidomain(X0)),domain(X0))
| multiplication(antidomain(antidomain(X0)),one) = multiplication(antidomain(antidomain(X0)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(antidomain(X0)),domain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1337,plain,
( multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),domain(X0))) != multiplication(antidomain(antidomain(X0)),domain(X0))
| multiplication(antidomain(antidomain(X0)),one) = multiplication(antidomain(antidomain(X0)),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_77,refute_0_1336]) ).
cnf(refute_0_1338,plain,
multiplication(antidomain(antidomain(X0)),one) = multiplication(antidomain(antidomain(X0)),domain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(antidomain(X0)),domain(X0))) )],[refute_0_1335,refute_0_1337]) ).
cnf(refute_0_1339,plain,
multiplication(antidomain(antidomain(X0)),one) = antidomain(antidomain(X0)),
inference(subst,[],[refute_0_92:[bind(A,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_1340,plain,
( antidomain(antidomain(X0)) != domain(X0)
| multiplication(antidomain(antidomain(X0)),one) != antidomain(antidomain(X0))
| multiplication(antidomain(antidomain(X0)),one) = domain(X0) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(antidomain(antidomain(X0)),one))),bind(Y,$fot(antidomain(antidomain(X0)))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_1341,plain,
( antidomain(antidomain(X0)) != domain(X0)
| multiplication(antidomain(antidomain(X0)),one) = domain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),one),antidomain(antidomain(X0))) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
multiplication(antidomain(antidomain(X0)),one) = domain(X0),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_8,refute_0_1341]) ).
cnf(refute_0_1343,plain,
( multiplication(antidomain(antidomain(X0)),one) != domain(X0)
| multiplication(antidomain(antidomain(X0)),one) != multiplication(antidomain(antidomain(X0)),domain(X0))
| domain(X0) = multiplication(antidomain(antidomain(X0)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),one),multiplication(antidomain(antidomain(X0)),domain(X0))) ),[0],$fot(domain(X0))]]) ).
cnf(refute_0_1344,plain,
( multiplication(antidomain(antidomain(X0)),one) != multiplication(antidomain(antidomain(X0)),domain(X0))
| domain(X0) = multiplication(antidomain(antidomain(X0)),domain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),one),domain(X0)) )],[refute_0_1342,refute_0_1343]) ).
cnf(refute_0_1345,plain,
( domain_difference(X_87,antidomain(X0)) != multiplication(domain(X_87),domain(X0))
| multiplication(domain(X_87),domain(X0)) = domain_difference(X_87,antidomain(X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain_difference(X_87,antidomain(X0)))),bind(Y,$fot(multiplication(domain(X_87),domain(X0))))]]) ).
cnf(refute_0_1346,plain,
multiplication(domain(X_87),domain(X0)) = domain_difference(X_87,antidomain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_87,antidomain(X0)),multiplication(domain(X_87),domain(X0))) )],[refute_0_167,refute_0_1345]) ).
cnf(refute_0_1347,plain,
multiplication(domain(X0),domain(X0)) = domain_difference(X0,antidomain(X0)),
inference(subst,[],[refute_0_1346:[bind(X_87,$fot(X0))]]) ).
cnf(refute_0_1348,plain,
multiplication(antidomain(antidomain(X0)),domain(X0)) = multiplication(antidomain(antidomain(X0)),domain(X0)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(antidomain(X0)),domain(X0)))]]) ).
cnf(refute_0_1349,plain,
( antidomain(antidomain(X0)) != domain(X0)
| multiplication(antidomain(antidomain(X0)),domain(X0)) != multiplication(antidomain(antidomain(X0)),domain(X0))
| multiplication(antidomain(antidomain(X0)),domain(X0)) = multiplication(domain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),domain(X0)),multiplication(antidomain(antidomain(X0)),domain(X0))) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_1350,plain,
( antidomain(antidomain(X0)) != domain(X0)
| multiplication(antidomain(antidomain(X0)),domain(X0)) = multiplication(domain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),domain(X0)),multiplication(antidomain(antidomain(X0)),domain(X0))) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
multiplication(antidomain(antidomain(X0)),domain(X0)) = multiplication(domain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_8,refute_0_1350]) ).
cnf(refute_0_1352,plain,
( multiplication(antidomain(antidomain(X0)),domain(X0)) != multiplication(domain(X0),domain(X0))
| multiplication(domain(X0),domain(X0)) != domain_difference(X0,antidomain(X0))
| multiplication(antidomain(antidomain(X0)),domain(X0)) = domain_difference(X0,antidomain(X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(antidomain(antidomain(X0)),domain(X0)))),bind(Y,$fot(multiplication(domain(X0),domain(X0)))),bind(Z,$fot(domain_difference(X0,antidomain(X0))))]]) ).
cnf(refute_0_1353,plain,
( multiplication(domain(X0),domain(X0)) != domain_difference(X0,antidomain(X0))
| multiplication(antidomain(antidomain(X0)),domain(X0)) = domain_difference(X0,antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),domain(X0)),multiplication(domain(X0),domain(X0))) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
multiplication(antidomain(antidomain(X0)),domain(X0)) = domain_difference(X0,antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),domain(X0)),domain_difference(X0,antidomain(X0))) )],[refute_0_1347,refute_0_1353]) ).
cnf(refute_0_1355,plain,
( domain(X0) != multiplication(antidomain(antidomain(X0)),domain(X0))
| multiplication(antidomain(antidomain(X0)),domain(X0)) != domain_difference(X0,antidomain(X0))
| domain(X0) = domain_difference(X0,antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(X0),domain_difference(X0,antidomain(X0))) ),[0],$fot(multiplication(antidomain(antidomain(X0)),domain(X0)))]]) ).
cnf(refute_0_1356,plain,
( domain(X0) != multiplication(antidomain(antidomain(X0)),domain(X0))
| domain(X0) = domain_difference(X0,antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),domain(X0)),domain_difference(X0,antidomain(X0))) )],[refute_0_1354,refute_0_1355]) ).
cnf(refute_0_1357,plain,
( multiplication(antidomain(antidomain(X0)),one) != multiplication(antidomain(antidomain(X0)),domain(X0))
| domain(X0) = domain_difference(X0,antidomain(X0)) ),
inference(resolve,[$cnf( $equal(domain(X0),multiplication(antidomain(antidomain(X0)),domain(X0))) )],[refute_0_1344,refute_0_1356]) ).
cnf(refute_0_1358,plain,
domain(X0) = domain_difference(X0,antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X0)),one),multiplication(antidomain(antidomain(X0)),domain(X0))) )],[refute_0_1338,refute_0_1357]) ).
cnf(refute_0_1359,plain,
( domain(X0) != domain_difference(X0,antidomain(X0))
| domain_difference(X0,antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain(X0))),bind(Y,$fot(domain_difference(X0,antidomain(X0))))]]) ).
cnf(refute_0_1360,plain,
domain_difference(X0,antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),domain_difference(X0,antidomain(X0))) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
domain_difference(X_7,antidomain(X_7)) = domain(X_7),
inference(subst,[],[refute_0_1360:[bind(X0,$fot(X_7))]]) ).
cnf(refute_0_1362,plain,
multiplication(domain(X_87),antidomain(X0)) = domain_difference(X_87,X0),
inference(subst,[],[refute_0_373:[bind(X0,$fot(X_87)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_1363,plain,
multiplication(domain(X_87),c(X0)) = multiplication(domain(X_87),c(X0)),
introduced(tautology,[refl,[$fot(multiplication(domain(X_87),c(X0)))]]) ).
cnf(refute_0_1364,plain,
( c(X0) != antidomain(X0)
| multiplication(domain(X_87),c(X0)) != multiplication(domain(X_87),c(X0))
| multiplication(domain(X_87),c(X0)) = multiplication(domain(X_87),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_87),c(X0)),multiplication(domain(X_87),c(X0))) ),[1,1],$fot(antidomain(X0))]]) ).
cnf(refute_0_1365,plain,
( c(X0) != antidomain(X0)
| multiplication(domain(X_87),c(X0)) = multiplication(domain(X_87),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_87),c(X0)),multiplication(domain(X_87),c(X0))) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
multiplication(domain(X_87),c(X0)) = multiplication(domain(X_87),antidomain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_994,refute_0_1365]) ).
cnf(refute_0_1367,plain,
( multiplication(domain(X_87),antidomain(X0)) != domain_difference(X_87,X0)
| multiplication(domain(X_87),c(X0)) != multiplication(domain(X_87),antidomain(X0))
| multiplication(domain(X_87),c(X0)) = domain_difference(X_87,X0) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(domain(X_87),c(X0)))),bind(Y,$fot(multiplication(domain(X_87),antidomain(X0)))),bind(Z,$fot(domain_difference(X_87,X0)))]]) ).
cnf(refute_0_1368,plain,
( multiplication(domain(X_87),antidomain(X0)) != domain_difference(X_87,X0)
| multiplication(domain(X_87),c(X0)) = domain_difference(X_87,X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_87),c(X0)),multiplication(domain(X_87),antidomain(X0))) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
multiplication(domain(X_87),c(X0)) = domain_difference(X_87,X0),
inference(resolve,[$cnf( $equal(multiplication(domain(X_87),antidomain(X0)),domain_difference(X_87,X0)) )],[refute_0_1362,refute_0_1368]) ).
cnf(refute_0_1370,plain,
( domain_difference(X_87,domain(X0)) != multiplication(domain(X_87),c(X0))
| multiplication(domain(X_87),c(X0)) != domain_difference(X_87,X0)
| domain_difference(X_87,domain(X0)) = domain_difference(X_87,X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(X_87,domain(X0)),domain_difference(X_87,X0)) ),[0],$fot(multiplication(domain(X_87),c(X0)))]]) ).
cnf(refute_0_1371,plain,
( domain_difference(X_87,domain(X0)) != multiplication(domain(X_87),c(X0))
| domain_difference(X_87,domain(X0)) = domain_difference(X_87,X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_87),c(X0)),domain_difference(X_87,X0)) )],[refute_0_1369,refute_0_1370]) ).
cnf(refute_0_1372,plain,
domain_difference(X_87,domain(X0)) = domain_difference(X_87,X0),
inference(resolve,[$cnf( $equal(domain_difference(X_87,domain(X0)),multiplication(domain(X_87),c(X0))) )],[refute_0_1160,refute_0_1371]) ).
cnf(refute_0_1373,plain,
domain_difference(domain(X0),domain(X_95)) = domain_difference(domain(X0),X_95),
inference(subst,[],[refute_0_1372:[bind(X0,$fot(X_95)),bind(X_87,$fot(domain(X0)))]]) ).
cnf(refute_0_1374,plain,
( domain_difference(domain(X0),domain(X_95)) != domain_difference(domain(X0),X_95)
| domain_difference(domain(X0),domain(X_95)) != multiplication(antidomain(c(X0)),c(X_95))
| domain_difference(domain(X0),X_95) = multiplication(antidomain(c(X0)),c(X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X0),domain(X_95)),multiplication(antidomain(c(X0)),c(X_95))) ),[0],$fot(domain_difference(domain(X0),X_95))]]) ).
cnf(refute_0_1375,plain,
( domain_difference(domain(X0),domain(X_95)) != multiplication(antidomain(c(X0)),c(X_95))
| domain_difference(domain(X0),X_95) = multiplication(antidomain(c(X0)),c(X_95)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),domain(X_95)),domain_difference(domain(X0),X_95)) )],[refute_0_1373,refute_0_1374]) ).
cnf(refute_0_1376,plain,
multiplication(domain(X0),antidomain(X_95)) = domain_difference(X0,X_95),
inference(subst,[],[refute_0_373:[bind(X1,$fot(X_95))]]) ).
cnf(refute_0_1377,plain,
c(X_95) = antidomain(X_95),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(X_95))]]) ).
cnf(refute_0_1378,plain,
multiplication(domain(X0),c(X_95)) = multiplication(domain(X0),c(X_95)),
introduced(tautology,[refl,[$fot(multiplication(domain(X0),c(X_95)))]]) ).
cnf(refute_0_1379,plain,
( c(X_95) != antidomain(X_95)
| multiplication(domain(X0),c(X_95)) != multiplication(domain(X0),c(X_95))
| multiplication(domain(X0),c(X_95)) = multiplication(domain(X0),antidomain(X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),c(X_95)),multiplication(domain(X0),c(X_95))) ),[1,1],$fot(antidomain(X_95))]]) ).
cnf(refute_0_1380,plain,
( c(X_95) != antidomain(X_95)
| multiplication(domain(X0),c(X_95)) = multiplication(domain(X0),antidomain(X_95)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),c(X_95)),multiplication(domain(X0),c(X_95))) )],[refute_0_1378,refute_0_1379]) ).
cnf(refute_0_1381,plain,
multiplication(domain(X0),c(X_95)) = multiplication(domain(X0),antidomain(X_95)),
inference(resolve,[$cnf( $equal(c(X_95),antidomain(X_95)) )],[refute_0_1377,refute_0_1380]) ).
cnf(refute_0_1382,plain,
multiplication(antidomain(c(X0)),c(X_95)) = multiplication(antidomain(c(X0)),c(X_95)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(c(X0)),c(X_95)))]]) ).
cnf(refute_0_1383,plain,
( antidomain(c(X0)) != domain(X0)
| multiplication(antidomain(c(X0)),c(X_95)) != multiplication(antidomain(c(X0)),c(X_95))
| multiplication(antidomain(c(X0)),c(X_95)) = multiplication(domain(X0),c(X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_95)),multiplication(antidomain(c(X0)),c(X_95))) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_1384,plain,
( antidomain(c(X0)) != domain(X0)
| multiplication(antidomain(c(X0)),c(X_95)) = multiplication(domain(X0),c(X_95)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_95)),multiplication(antidomain(c(X0)),c(X_95))) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
multiplication(antidomain(c(X0)),c(X_95)) = multiplication(domain(X0),c(X_95)),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),domain(X0)) )],[refute_0_1039,refute_0_1384]) ).
cnf(refute_0_1386,plain,
( multiplication(antidomain(c(X0)),c(X_95)) != multiplication(domain(X0),c(X_95))
| multiplication(domain(X0),c(X_95)) != multiplication(domain(X0),antidomain(X_95))
| multiplication(antidomain(c(X0)),c(X_95)) = multiplication(domain(X0),antidomain(X_95)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(antidomain(c(X0)),c(X_95)))),bind(Y,$fot(multiplication(domain(X0),c(X_95)))),bind(Z,$fot(multiplication(domain(X0),antidomain(X_95))))]]) ).
cnf(refute_0_1387,plain,
( multiplication(domain(X0),c(X_95)) != multiplication(domain(X0),antidomain(X_95))
| multiplication(antidomain(c(X0)),c(X_95)) = multiplication(domain(X0),antidomain(X_95)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_95)),multiplication(domain(X0),c(X_95))) )],[refute_0_1385,refute_0_1386]) ).
cnf(refute_0_1388,plain,
multiplication(antidomain(c(X0)),c(X_95)) = multiplication(domain(X0),antidomain(X_95)),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),c(X_95)),multiplication(domain(X0),antidomain(X_95))) )],[refute_0_1381,refute_0_1387]) ).
cnf(refute_0_1389,plain,
( multiplication(antidomain(c(X0)),c(X_95)) != multiplication(domain(X0),antidomain(X_95))
| multiplication(domain(X0),antidomain(X_95)) != domain_difference(X0,X_95)
| multiplication(antidomain(c(X0)),c(X_95)) = domain_difference(X0,X_95) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(antidomain(c(X0)),c(X_95)))),bind(Y,$fot(multiplication(domain(X0),antidomain(X_95)))),bind(Z,$fot(domain_difference(X0,X_95)))]]) ).
cnf(refute_0_1390,plain,
( multiplication(domain(X0),antidomain(X_95)) != domain_difference(X0,X_95)
| multiplication(antidomain(c(X0)),c(X_95)) = domain_difference(X0,X_95) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_95)),multiplication(domain(X0),antidomain(X_95))) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
multiplication(antidomain(c(X0)),c(X_95)) = domain_difference(X0,X_95),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),antidomain(X_95)),domain_difference(X0,X_95)) )],[refute_0_1376,refute_0_1390]) ).
cnf(refute_0_1392,plain,
( domain_difference(domain(X0),X_95) != multiplication(antidomain(c(X0)),c(X_95))
| multiplication(antidomain(c(X0)),c(X_95)) != domain_difference(X0,X_95)
| domain_difference(domain(X0),X_95) = domain_difference(X0,X_95) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(domain(X0),X_95),domain_difference(X0,X_95)) ),[0],$fot(multiplication(antidomain(c(X0)),c(X_95)))]]) ).
cnf(refute_0_1393,plain,
( domain_difference(domain(X0),X_95) != multiplication(antidomain(c(X0)),c(X_95))
| domain_difference(domain(X0),X_95) = domain_difference(X0,X_95) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X0)),c(X_95)),domain_difference(X0,X_95)) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
( domain_difference(domain(X0),domain(X_95)) != multiplication(antidomain(c(X0)),c(X_95))
| domain_difference(domain(X0),X_95) = domain_difference(X0,X_95) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),X_95),multiplication(antidomain(c(X0)),c(X_95))) )],[refute_0_1375,refute_0_1393]) ).
cnf(refute_0_1395,plain,
domain_difference(domain(X0),X_95) = domain_difference(X0,X_95),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),domain(X_95)),multiplication(antidomain(c(X0)),c(X_95))) )],[refute_0_1164,refute_0_1394]) ).
cnf(refute_0_1396,plain,
domain_difference(domain(X_7),antidomain(X_7)) = domain_difference(X_7,antidomain(X_7)),
inference(subst,[],[refute_0_1395:[bind(X0,$fot(X_7)),bind(X_95,$fot(antidomain(X_7)))]]) ).
cnf(refute_0_1397,plain,
( domain_difference(X_7,antidomain(X_7)) != domain(X_7)
| domain_difference(domain(X_7),antidomain(X_7)) != domain_difference(X_7,antidomain(X_7))
| domain_difference(domain(X_7),antidomain(X_7)) = domain(X_7) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain_difference(domain(X_7),antidomain(X_7)))),bind(Y,$fot(domain_difference(X_7,antidomain(X_7)))),bind(Z,$fot(domain(X_7)))]]) ).
cnf(refute_0_1398,plain,
( domain_difference(X_7,antidomain(X_7)) != domain(X_7)
| domain_difference(domain(X_7),antidomain(X_7)) = domain(X_7) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_7),antidomain(X_7)),domain_difference(X_7,antidomain(X_7))) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
domain_difference(domain(X_7),antidomain(X_7)) = domain(X_7),
inference(resolve,[$cnf( $equal(domain_difference(X_7,antidomain(X_7)),domain(X_7)) )],[refute_0_1361,refute_0_1398]) ).
cnf(refute_0_1400,plain,
antidomain(domain(X_7)) = antidomain(X_7),
inference(subst,[],[refute_0_999:[bind(X0,$fot(X_7))]]) ).
cnf(refute_0_1401,plain,
c(domain(X_7)) = antidomain(domain(X_7)),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(domain(X_7)))]]) ).
cnf(refute_0_1402,plain,
( antidomain(domain(X_7)) != antidomain(X_7)
| c(domain(X_7)) != antidomain(domain(X_7))
| c(domain(X_7)) = antidomain(X_7) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(domain(X_7)))),bind(Y,$fot(antidomain(domain(X_7)))),bind(Z,$fot(antidomain(X_7)))]]) ).
cnf(refute_0_1403,plain,
( antidomain(domain(X_7)) != antidomain(X_7)
| c(domain(X_7)) = antidomain(X_7) ),
inference(resolve,[$cnf( $equal(c(domain(X_7)),antidomain(domain(X_7))) )],[refute_0_1401,refute_0_1402]) ).
cnf(refute_0_1404,plain,
c(domain(X_7)) = antidomain(X_7),
inference(resolve,[$cnf( $equal(antidomain(domain(X_7)),antidomain(X_7)) )],[refute_0_1400,refute_0_1403]) ).
cnf(refute_0_1405,plain,
domain_difference(domain(X_7),c(domain(X_7))) = domain_difference(domain(X_7),c(domain(X_7))),
introduced(tautology,[refl,[$fot(domain_difference(domain(X_7),c(domain(X_7))))]]) ).
cnf(refute_0_1406,plain,
( c(domain(X_7)) != antidomain(X_7)
| domain_difference(domain(X_7),c(domain(X_7))) != domain_difference(domain(X_7),c(domain(X_7)))
| domain_difference(domain(X_7),c(domain(X_7))) = domain_difference(domain(X_7),antidomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X_7),c(domain(X_7))),domain_difference(domain(X_7),c(domain(X_7)))) ),[1,1],$fot(antidomain(X_7))]]) ).
cnf(refute_0_1407,plain,
( c(domain(X_7)) != antidomain(X_7)
| domain_difference(domain(X_7),c(domain(X_7))) = domain_difference(domain(X_7),antidomain(X_7)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_7),c(domain(X_7))),domain_difference(domain(X_7),c(domain(X_7)))) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
domain_difference(domain(X_7),c(domain(X_7))) = domain_difference(domain(X_7),antidomain(X_7)),
inference(resolve,[$cnf( $equal(c(domain(X_7)),antidomain(X_7)) )],[refute_0_1404,refute_0_1407]) ).
cnf(refute_0_1409,plain,
antidomain(antidomain(X_7)) = domain(X_7),
inference(subst,[],[refute_0_8:[bind(X0,$fot(X_7))]]) ).
cnf(refute_0_1410,plain,
c(X_7) = antidomain(X_7),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(X_7))]]) ).
cnf(refute_0_1411,plain,
antidomain(c(X_7)) = antidomain(c(X_7)),
introduced(tautology,[refl,[$fot(antidomain(c(X_7)))]]) ).
cnf(refute_0_1412,plain,
( antidomain(c(X_7)) != antidomain(c(X_7))
| c(X_7) != antidomain(X_7)
| antidomain(c(X_7)) = antidomain(antidomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_7)),antidomain(c(X_7))) ),[1,0],$fot(antidomain(X_7))]]) ).
cnf(refute_0_1413,plain,
( c(X_7) != antidomain(X_7)
| antidomain(c(X_7)) = antidomain(antidomain(X_7)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_7)),antidomain(c(X_7))) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
antidomain(c(X_7)) = antidomain(antidomain(X_7)),
inference(resolve,[$cnf( $equal(c(X_7),antidomain(X_7)) )],[refute_0_1410,refute_0_1413]) ).
cnf(refute_0_1415,plain,
( antidomain(antidomain(X_7)) != domain(X_7)
| antidomain(c(X_7)) != antidomain(antidomain(X_7))
| antidomain(c(X_7)) = domain(X_7) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(c(X_7)))),bind(Y,$fot(antidomain(antidomain(X_7)))),bind(Z,$fot(domain(X_7)))]]) ).
cnf(refute_0_1416,plain,
( antidomain(antidomain(X_7)) != domain(X_7)
| antidomain(c(X_7)) = domain(X_7) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_7)),antidomain(antidomain(X_7))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
antidomain(c(X_7)) = domain(X_7),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_7)),domain(X_7)) )],[refute_0_1409,refute_0_1416]) ).
cnf(refute_0_1418,plain,
c(c(X_7)) = antidomain(c(X_7)),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(c(X_7)))]]) ).
cnf(refute_0_1419,plain,
( antidomain(c(X_7)) != domain(X_7)
| c(c(X_7)) != antidomain(c(X_7))
| c(c(X_7)) = domain(X_7) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(c(X_7)))),bind(Y,$fot(antidomain(c(X_7)))),bind(Z,$fot(domain(X_7)))]]) ).
cnf(refute_0_1420,plain,
( antidomain(c(X_7)) != domain(X_7)
| c(c(X_7)) = domain(X_7) ),
inference(resolve,[$cnf( $equal(c(c(X_7)),antidomain(c(X_7))) )],[refute_0_1418,refute_0_1419]) ).
cnf(refute_0_1421,plain,
c(c(X_7)) = domain(X_7),
inference(resolve,[$cnf( $equal(antidomain(c(X_7)),domain(X_7)) )],[refute_0_1417,refute_0_1420]) ).
cnf(refute_0_1422,plain,
domain_difference(c(c(X_7)),c(domain(X_7))) = domain_difference(c(c(X_7)),c(domain(X_7))),
introduced(tautology,[refl,[$fot(domain_difference(c(c(X_7)),c(domain(X_7))))]]) ).
cnf(refute_0_1423,plain,
( c(c(X_7)) != domain(X_7)
| domain_difference(c(c(X_7)),c(domain(X_7))) != domain_difference(c(c(X_7)),c(domain(X_7)))
| domain_difference(c(c(X_7)),c(domain(X_7))) = domain_difference(domain(X_7),c(domain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(c(c(X_7)),c(domain(X_7))),domain_difference(c(c(X_7)),c(domain(X_7)))) ),[1,0],$fot(domain(X_7))]]) ).
cnf(refute_0_1424,plain,
( c(c(X_7)) != domain(X_7)
| domain_difference(c(c(X_7)),c(domain(X_7))) = domain_difference(domain(X_7),c(domain(X_7))) ),
inference(resolve,[$cnf( $equal(domain_difference(c(c(X_7)),c(domain(X_7))),domain_difference(c(c(X_7)),c(domain(X_7)))) )],[refute_0_1422,refute_0_1423]) ).
cnf(refute_0_1425,plain,
domain_difference(c(c(X_7)),c(domain(X_7))) = domain_difference(domain(X_7),c(domain(X_7))),
inference(resolve,[$cnf( $equal(c(c(X_7)),domain(X_7)) )],[refute_0_1421,refute_0_1424]) ).
cnf(refute_0_1426,plain,
( domain_difference(c(c(X_7)),c(domain(X_7))) != domain_difference(domain(X_7),c(domain(X_7)))
| domain_difference(domain(X_7),c(domain(X_7))) != domain_difference(domain(X_7),antidomain(X_7))
| domain_difference(c(c(X_7)),c(domain(X_7))) = domain_difference(domain(X_7),antidomain(X_7)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain_difference(c(c(X_7)),c(domain(X_7))))),bind(Y,$fot(domain_difference(domain(X_7),c(domain(X_7))))),bind(Z,$fot(domain_difference(domain(X_7),antidomain(X_7))))]]) ).
cnf(refute_0_1427,plain,
( domain_difference(domain(X_7),c(domain(X_7))) != domain_difference(domain(X_7),antidomain(X_7))
| domain_difference(c(c(X_7)),c(domain(X_7))) = domain_difference(domain(X_7),antidomain(X_7)) ),
inference(resolve,[$cnf( $equal(domain_difference(c(c(X_7)),c(domain(X_7))),domain_difference(domain(X_7),c(domain(X_7)))) )],[refute_0_1425,refute_0_1426]) ).
cnf(refute_0_1428,plain,
domain_difference(c(c(X_7)),c(domain(X_7))) = domain_difference(domain(X_7),antidomain(X_7)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_7),c(domain(X_7))),domain_difference(domain(X_7),antidomain(X_7))) )],[refute_0_1408,refute_0_1427]) ).
cnf(refute_0_1429,plain,
( domain_difference(c(c(X_7)),c(domain(X_7))) != domain_difference(domain(X_7),antidomain(X_7))
| domain_difference(domain(X_7),antidomain(X_7)) != domain(X_7)
| domain_difference(c(c(X_7)),c(domain(X_7))) = domain(X_7) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain_difference(c(c(X_7)),c(domain(X_7))))),bind(Y,$fot(domain_difference(domain(X_7),antidomain(X_7)))),bind(Z,$fot(domain(X_7)))]]) ).
cnf(refute_0_1430,plain,
( domain_difference(domain(X_7),antidomain(X_7)) != domain(X_7)
| domain_difference(c(c(X_7)),c(domain(X_7))) = domain(X_7) ),
inference(resolve,[$cnf( $equal(domain_difference(c(c(X_7)),c(domain(X_7))),domain_difference(domain(X_7),antidomain(X_7))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
domain_difference(c(c(X_7)),c(domain(X_7))) = domain(X_7),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_7),antidomain(X_7)),domain(X_7)) )],[refute_0_1399,refute_0_1430]) ).
cnf(refute_0_1432,plain,
( domain_difference(c(c(X_7)),c(domain(X_7))) != domain(X_7)
| forward_box(one,X_7) != domain_difference(c(c(X_7)),c(domain(X_7)))
| forward_box(one,X_7) = domain(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X_7),domain_difference(c(c(X_7)),c(domain(X_7)))) ),[1],$fot(domain(X_7))]]) ).
cnf(refute_0_1433,plain,
( forward_box(one,X_7) != domain_difference(c(c(X_7)),c(domain(X_7)))
| forward_box(one,X_7) = domain(X_7) ),
inference(resolve,[$cnf( $equal(domain_difference(c(c(X_7)),c(domain(X_7))),domain(X_7)) )],[refute_0_1431,refute_0_1432]) ).
cnf(refute_0_1434,plain,
forward_box(one,X_7) = domain(X_7),
inference(resolve,[$cnf( $equal(forward_box(one,X_7),domain_difference(c(c(X_7)),c(domain(X_7)))) )],[refute_0_1325,refute_0_1433]) ).
cnf(refute_0_1435,plain,
forward_box(one,X_515) = domain(X_515),
inference(subst,[],[refute_0_1434:[bind(X_7,$fot(X_515))]]) ).
cnf(refute_0_1436,plain,
multiplication(X_47,forward_box(one,X_515)) = multiplication(X_47,forward_box(one,X_515)),
introduced(tautology,[refl,[$fot(multiplication(X_47,forward_box(one,X_515)))]]) ).
cnf(refute_0_1437,plain,
( forward_box(one,X_515) != domain(X_515)
| multiplication(X_47,forward_box(one,X_515)) != multiplication(X_47,forward_box(one,X_515))
| multiplication(X_47,forward_box(one,X_515)) = multiplication(X_47,domain(X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_47,forward_box(one,X_515)),multiplication(X_47,forward_box(one,X_515))) ),[1,1],$fot(domain(X_515))]]) ).
cnf(refute_0_1438,plain,
( forward_box(one,X_515) != domain(X_515)
| multiplication(X_47,forward_box(one,X_515)) = multiplication(X_47,domain(X_515)) ),
inference(resolve,[$cnf( $equal(multiplication(X_47,forward_box(one,X_515)),multiplication(X_47,forward_box(one,X_515))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
multiplication(X_47,forward_box(one,X_515)) = multiplication(X_47,domain(X_515)),
inference(resolve,[$cnf( $equal(forward_box(one,X_515),domain(X_515)) )],[refute_0_1435,refute_0_1438]) ).
cnf(refute_0_1440,plain,
antidomain(multiplication(X_47,forward_box(one,X_515))) = antidomain(multiplication(X_47,forward_box(one,X_515))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X_47,forward_box(one,X_515))))]]) ).
cnf(refute_0_1441,plain,
( antidomain(multiplication(X_47,forward_box(one,X_515))) != antidomain(multiplication(X_47,forward_box(one,X_515)))
| multiplication(X_47,forward_box(one,X_515)) != multiplication(X_47,domain(X_515))
| antidomain(multiplication(X_47,forward_box(one,X_515))) = antidomain(multiplication(X_47,domain(X_515))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X_47,forward_box(one,X_515))),antidomain(multiplication(X_47,forward_box(one,X_515)))) ),[1,0],$fot(multiplication(X_47,domain(X_515)))]]) ).
cnf(refute_0_1442,plain,
( multiplication(X_47,forward_box(one,X_515)) != multiplication(X_47,domain(X_515))
| antidomain(multiplication(X_47,forward_box(one,X_515))) = antidomain(multiplication(X_47,domain(X_515))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_47,forward_box(one,X_515))),antidomain(multiplication(X_47,forward_box(one,X_515)))) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
antidomain(multiplication(X_47,forward_box(one,X_515))) = antidomain(multiplication(X_47,domain(X_515))),
inference(resolve,[$cnf( $equal(multiplication(X_47,forward_box(one,X_515)),multiplication(X_47,domain(X_515))) )],[refute_0_1439,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( antidomain(multiplication(X_47,domain(X_515))) != antidomain(forward_diamond(X_47,X_515))
| antidomain(multiplication(X_47,forward_box(one,X_515))) != antidomain(multiplication(X_47,domain(X_515)))
| antidomain(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,X_515)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(multiplication(X_47,forward_box(one,X_515))))),bind(Y,$fot(antidomain(multiplication(X_47,domain(X_515))))),bind(Z,$fot(antidomain(forward_diamond(X_47,X_515))))]]) ).
cnf(refute_0_1445,plain,
( antidomain(multiplication(X_47,domain(X_515))) != antidomain(forward_diamond(X_47,X_515))
| antidomain(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,X_515)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_47,forward_box(one,X_515))),antidomain(multiplication(X_47,domain(X_515)))) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
antidomain(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,X_515)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_47,domain(X_515))),antidomain(forward_diamond(X_47,X_515))) )],[refute_0_1318,refute_0_1445]) ).
cnf(refute_0_1447,plain,
c(multiplication(X_47,forward_box(one,X_515))) = antidomain(multiplication(X_47,forward_box(one,X_515))),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(multiplication(X_47,forward_box(one,X_515))))]]) ).
cnf(refute_0_1448,plain,
( antidomain(multiplication(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,X_515))
| c(multiplication(X_47,forward_box(one,X_515))) != antidomain(multiplication(X_47,forward_box(one,X_515)))
| c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,X_515)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(multiplication(X_47,forward_box(one,X_515))))),bind(Y,$fot(antidomain(multiplication(X_47,forward_box(one,X_515))))),bind(Z,$fot(antidomain(forward_diamond(X_47,X_515))))]]) ).
cnf(refute_0_1449,plain,
( antidomain(multiplication(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,X_515))
| c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,X_515)) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_47,forward_box(one,X_515))),antidomain(multiplication(X_47,forward_box(one,X_515)))) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
c(multiplication(X_47,forward_box(one,X_515))) = antidomain(forward_diamond(X_47,X_515)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,X_515))) )],[refute_0_1446,refute_0_1449]) ).
cnf(refute_0_1451,plain,
( c(multiplication(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,X_515))
| c(multiplication(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,c(c(X_515))))
| antidomain(forward_diamond(X_47,X_515)) = antidomain(forward_diamond(X_47,c(c(X_515)))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,c(c(X_515))))) ),[0],$fot(antidomain(forward_diamond(X_47,X_515)))]]) ).
cnf(refute_0_1452,plain,
( c(multiplication(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,c(c(X_515))))
| antidomain(forward_diamond(X_47,X_515)) = antidomain(forward_diamond(X_47,c(c(X_515)))) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,X_515))) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
c(multiplication(X_110,domain(domain(X0)))) = antidomain(forward_diamond(X_110,domain(X0))),
inference(subst,[],[refute_0_423:[bind(X_47,$fot(X_110)),bind(X_48,$fot(domain(X0)))]]) ).
cnf(refute_0_1454,plain,
( c(multiplication(X_110,domain(domain(X0)))) != antidomain(forward_diamond(X_110,domain(X0)))
| domain(domain(X0)) != antidomain(c(X0))
| c(multiplication(X_110,antidomain(c(X0)))) = antidomain(forward_diamond(X_110,domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_110,domain(domain(X0)))),antidomain(forward_diamond(X_110,domain(X0)))) ),[0,0,1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_1455,plain,
( c(multiplication(X_110,domain(domain(X0)))) != antidomain(forward_diamond(X_110,domain(X0)))
| c(multiplication(X_110,antidomain(c(X0)))) = antidomain(forward_diamond(X_110,domain(X0))) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_1032,refute_0_1454]) ).
cnf(refute_0_1456,plain,
c(multiplication(X_110,antidomain(c(X0)))) = antidomain(forward_diamond(X_110,domain(X0))),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,domain(domain(X0)))),antidomain(forward_diamond(X_110,domain(X0)))) )],[refute_0_1453,refute_0_1455]) ).
cnf(refute_0_1457,plain,
forward_box(X_110,c(X0)) = forward_box(X_110,c(X0)),
introduced(tautology,[refl,[$fot(forward_box(X_110,c(X0)))]]) ).
cnf(refute_0_1458,plain,
( c(X0) != antidomain(X0)
| forward_box(X_110,c(X0)) != forward_box(X_110,c(X0))
| forward_box(X_110,c(X0)) = forward_box(X_110,antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X_110,c(X0)),forward_box(X_110,c(X0))) ),[1,1],$fot(antidomain(X0))]]) ).
cnf(refute_0_1459,plain,
( c(X0) != antidomain(X0)
| forward_box(X_110,c(X0)) = forward_box(X_110,antidomain(X0)) ),
inference(resolve,[$cnf( $equal(forward_box(X_110,c(X0)),forward_box(X_110,c(X0))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
forward_box(X_110,c(X0)) = forward_box(X_110,antidomain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_994,refute_0_1459]) ).
cnf(refute_0_1461,plain,
c(multiplication(X_110,domain(antidomain(X_4)))) = antidomain(forward_diamond(X_110,antidomain(X_4))),
inference(subst,[],[refute_0_423:[bind(X_47,$fot(X_110)),bind(X_48,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_1462,plain,
( c(multiplication(X_110,domain(antidomain(X_4)))) != antidomain(forward_diamond(X_110,antidomain(X_4)))
| domain(antidomain(X_4)) != c(X_4)
| c(multiplication(X_110,c(X_4))) = antidomain(forward_diamond(X_110,antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_110,domain(antidomain(X_4)))),antidomain(forward_diamond(X_110,antidomain(X_4)))) ),[0,0,1],$fot(c(X_4))]]) ).
cnf(refute_0_1463,plain,
( c(multiplication(X_110,domain(antidomain(X_4)))) != antidomain(forward_diamond(X_110,antidomain(X_4)))
| c(multiplication(X_110,c(X_4))) = antidomain(forward_diamond(X_110,antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_182,refute_0_1462]) ).
cnf(refute_0_1464,plain,
c(multiplication(X_110,c(X_4))) = antidomain(forward_diamond(X_110,antidomain(X_4))),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,domain(antidomain(X_4)))),antidomain(forward_diamond(X_110,antidomain(X_4)))) )],[refute_0_1461,refute_0_1463]) ).
cnf(refute_0_1465,plain,
multiplication(X_110,c(X_4)) = multiplication(X_110,c(X_4)),
introduced(tautology,[refl,[$fot(multiplication(X_110,c(X_4)))]]) ).
cnf(refute_0_1466,plain,
( c(X_4) != antidomain(X_4)
| multiplication(X_110,c(X_4)) != multiplication(X_110,c(X_4))
| multiplication(X_110,c(X_4)) = multiplication(X_110,antidomain(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_110,c(X_4)),multiplication(X_110,c(X_4))) ),[1,1],$fot(antidomain(X_4))]]) ).
cnf(refute_0_1467,plain,
( c(X_4) != antidomain(X_4)
| multiplication(X_110,c(X_4)) = multiplication(X_110,antidomain(X_4)) ),
inference(resolve,[$cnf( $equal(multiplication(X_110,c(X_4)),multiplication(X_110,c(X_4))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
multiplication(X_110,c(X_4)) = multiplication(X_110,antidomain(X_4)),
inference(resolve,[$cnf( $equal(c(X_4),antidomain(X_4)) )],[refute_0_348,refute_0_1467]) ).
cnf(refute_0_1469,plain,
antidomain(multiplication(X_110,c(X_4))) = antidomain(multiplication(X_110,c(X_4))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X_110,c(X_4))))]]) ).
cnf(refute_0_1470,plain,
( antidomain(multiplication(X_110,c(X_4))) != antidomain(multiplication(X_110,c(X_4)))
| multiplication(X_110,c(X_4)) != multiplication(X_110,antidomain(X_4))
| antidomain(multiplication(X_110,c(X_4))) = antidomain(multiplication(X_110,antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X_110,c(X_4))),antidomain(multiplication(X_110,c(X_4)))) ),[1,0],$fot(multiplication(X_110,antidomain(X_4)))]]) ).
cnf(refute_0_1471,plain,
( multiplication(X_110,c(X_4)) != multiplication(X_110,antidomain(X_4))
| antidomain(multiplication(X_110,c(X_4))) = antidomain(multiplication(X_110,antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_110,c(X_4))),antidomain(multiplication(X_110,c(X_4)))) )],[refute_0_1469,refute_0_1470]) ).
cnf(refute_0_1472,plain,
antidomain(multiplication(X_110,c(X_4))) = antidomain(multiplication(X_110,antidomain(X_4))),
inference(resolve,[$cnf( $equal(multiplication(X_110,c(X_4)),multiplication(X_110,antidomain(X_4))) )],[refute_0_1468,refute_0_1471]) ).
cnf(refute_0_1473,plain,
c(multiplication(X_110,c(X_4))) = antidomain(multiplication(X_110,c(X_4))),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(multiplication(X_110,c(X_4))))]]) ).
cnf(refute_0_1474,plain,
( antidomain(multiplication(X_110,c(X_4))) != antidomain(multiplication(X_110,antidomain(X_4)))
| c(multiplication(X_110,c(X_4))) != antidomain(multiplication(X_110,c(X_4)))
| c(multiplication(X_110,c(X_4))) = antidomain(multiplication(X_110,antidomain(X_4))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(multiplication(X_110,c(X_4))))),bind(Y,$fot(antidomain(multiplication(X_110,c(X_4))))),bind(Z,$fot(antidomain(multiplication(X_110,antidomain(X_4)))))]]) ).
cnf(refute_0_1475,plain,
( antidomain(multiplication(X_110,c(X_4))) != antidomain(multiplication(X_110,antidomain(X_4)))
| c(multiplication(X_110,c(X_4))) = antidomain(multiplication(X_110,antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,c(X_4))),antidomain(multiplication(X_110,c(X_4)))) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
c(multiplication(X_110,c(X_4))) = antidomain(multiplication(X_110,antidomain(X_4))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_110,c(X_4))),antidomain(multiplication(X_110,antidomain(X_4)))) )],[refute_0_1472,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( c(multiplication(X_110,c(X_4))) != antidomain(forward_diamond(X_110,antidomain(X_4)))
| c(multiplication(X_110,c(X_4))) != antidomain(multiplication(X_110,antidomain(X_4)))
| antidomain(multiplication(X_110,antidomain(X_4))) = antidomain(forward_diamond(X_110,antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_110,c(X_4))),antidomain(forward_diamond(X_110,antidomain(X_4)))) ),[0],$fot(antidomain(multiplication(X_110,antidomain(X_4))))]]) ).
cnf(refute_0_1478,plain,
( c(multiplication(X_110,c(X_4))) != antidomain(forward_diamond(X_110,antidomain(X_4)))
| antidomain(multiplication(X_110,antidomain(X_4))) = antidomain(forward_diamond(X_110,antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,c(X_4))),antidomain(multiplication(X_110,antidomain(X_4)))) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
c(X1) = antidomain(X1),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(X1))]]) ).
cnf(refute_0_1480,plain,
forward_diamond(X0,c(X1)) = forward_diamond(X0,c(X1)),
introduced(tautology,[refl,[$fot(forward_diamond(X0,c(X1)))]]) ).
cnf(refute_0_1481,plain,
( c(X1) != antidomain(X1)
| forward_diamond(X0,c(X1)) != forward_diamond(X0,c(X1))
| forward_diamond(X0,c(X1)) = forward_diamond(X0,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,c(X1)),forward_diamond(X0,c(X1))) ),[1,1],$fot(antidomain(X1))]]) ).
cnf(refute_0_1482,plain,
( c(X1) != antidomain(X1)
| forward_diamond(X0,c(X1)) = forward_diamond(X0,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(forward_diamond(X0,c(X1)),forward_diamond(X0,c(X1))) )],[refute_0_1480,refute_0_1481]) ).
cnf(refute_0_1483,plain,
forward_diamond(X0,c(X1)) = forward_diamond(X0,antidomain(X1)),
inference(resolve,[$cnf( $equal(c(X1),antidomain(X1)) )],[refute_0_1479,refute_0_1482]) ).
cnf(refute_0_1484,plain,
antidomain(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,c(X1))),
introduced(tautology,[refl,[$fot(antidomain(forward_diamond(X0,c(X1))))]]) ).
cnf(refute_0_1485,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_1486,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( $equal(antidomain(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,c(X1)))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
antidomain(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(forward_diamond(X0,c(X1)),forward_diamond(X0,antidomain(X1))) )],[refute_0_1483,refute_0_1486]) ).
cnf(refute_0_1488,plain,
c(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,c(X1))),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(forward_diamond(X0,c(X1))))]]) ).
cnf(refute_0_1489,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_127:[bind(X,$fot(c(forward_diamond(X0,c(X1))))),bind(Y,$fot(antidomain(forward_diamond(X0,c(X1))))),bind(Z,$fot(antidomain(forward_diamond(X0,antidomain(X1)))))]]) ).
cnf(refute_0_1490,plain,
( antidomain(forward_diamond(X0,c(X1))) != antidomain(forward_diamond(X0,antidomain(X1)))
| c(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,c(X1)))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
c(forward_diamond(X0,c(X1))) = antidomain(forward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,antidomain(X1)))) )],[refute_0_1487,refute_0_1490]) ).
cnf(refute_0_1492,plain,
( c(forward_diamond(X0,c(X1))) != antidomain(forward_diamond(X0,antidomain(X1)))
| forward_box(X0,X1) != c(forward_diamond(X0,c(X1)))
| forward_box(X0,X1) = antidomain(forward_diamond(X0,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X0,X1),c(forward_diamond(X0,c(X1)))) ),[1],$fot(antidomain(forward_diamond(X0,antidomain(X1))))]]) ).
cnf(refute_0_1493,plain,
( forward_box(X0,X1) != c(forward_diamond(X0,c(X1)))
| forward_box(X0,X1) = antidomain(forward_diamond(X0,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,c(X1))),antidomain(forward_diamond(X0,antidomain(X1)))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
forward_box(X0,X1) = antidomain(forward_diamond(X0,antidomain(X1))),
inference(resolve,[$cnf( $equal(forward_box(X0,X1),c(forward_diamond(X0,c(X1)))) )],[refute_0_1053,refute_0_1493]) ).
cnf(refute_0_1495,plain,
( forward_box(X0,X1) != antidomain(forward_diamond(X0,antidomain(X1)))
| antidomain(forward_diamond(X0,antidomain(X1))) = forward_box(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(X0,X1))),bind(Y,$fot(antidomain(forward_diamond(X0,antidomain(X1)))))]]) ).
cnf(refute_0_1496,plain,
antidomain(forward_diamond(X0,antidomain(X1))) = forward_box(X0,X1),
inference(resolve,[$cnf( $equal(forward_box(X0,X1),antidomain(forward_diamond(X0,antidomain(X1)))) )],[refute_0_1494,refute_0_1495]) ).
cnf(refute_0_1497,plain,
antidomain(forward_diamond(X_110,antidomain(X_4))) = forward_box(X_110,X_4),
inference(subst,[],[refute_0_1496:[bind(X0,$fot(X_110)),bind(X1,$fot(X_4))]]) ).
cnf(refute_0_1498,plain,
( antidomain(forward_diamond(X_110,antidomain(X_4))) != forward_box(X_110,X_4)
| antidomain(multiplication(X_110,antidomain(X_4))) != antidomain(forward_diamond(X_110,antidomain(X_4)))
| antidomain(multiplication(X_110,antidomain(X_4))) = forward_box(X_110,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X_110,antidomain(X_4))),antidomain(forward_diamond(X_110,antidomain(X_4)))) ),[1],$fot(forward_box(X_110,X_4))]]) ).
cnf(refute_0_1499,plain,
( antidomain(multiplication(X_110,antidomain(X_4))) != antidomain(forward_diamond(X_110,antidomain(X_4)))
| antidomain(multiplication(X_110,antidomain(X_4))) = forward_box(X_110,X_4) ),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_110,antidomain(X_4))),forward_box(X_110,X_4)) )],[refute_0_1497,refute_0_1498]) ).
cnf(refute_0_1500,plain,
( c(multiplication(X_110,c(X_4))) != antidomain(forward_diamond(X_110,antidomain(X_4)))
| antidomain(multiplication(X_110,antidomain(X_4))) = forward_box(X_110,X_4) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_110,antidomain(X_4))),antidomain(forward_diamond(X_110,antidomain(X_4)))) )],[refute_0_1478,refute_0_1499]) ).
cnf(refute_0_1501,plain,
antidomain(multiplication(X_110,antidomain(X_4))) = forward_box(X_110,X_4),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,c(X_4))),antidomain(forward_diamond(X_110,antidomain(X_4)))) )],[refute_0_1464,refute_0_1500]) ).
cnf(refute_0_1502,plain,
antidomain(multiplication(X_110,antidomain(c(X0)))) = forward_box(X_110,c(X0)),
inference(subst,[],[refute_0_1501:[bind(X_4,$fot(c(X0)))]]) ).
cnf(refute_0_1503,plain,
c(multiplication(X_110,antidomain(c(X0)))) = antidomain(multiplication(X_110,antidomain(c(X0)))),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(multiplication(X_110,antidomain(c(X0)))))]]) ).
cnf(refute_0_1504,plain,
( antidomain(multiplication(X_110,antidomain(c(X0)))) != forward_box(X_110,c(X0))
| c(multiplication(X_110,antidomain(c(X0)))) != antidomain(multiplication(X_110,antidomain(c(X0))))
| c(multiplication(X_110,antidomain(c(X0)))) = forward_box(X_110,c(X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(multiplication(X_110,antidomain(c(X0)))))),bind(Y,$fot(antidomain(multiplication(X_110,antidomain(c(X0)))))),bind(Z,$fot(forward_box(X_110,c(X0))))]]) ).
cnf(refute_0_1505,plain,
( antidomain(multiplication(X_110,antidomain(c(X0)))) != forward_box(X_110,c(X0))
| c(multiplication(X_110,antidomain(c(X0)))) = forward_box(X_110,c(X0)) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,antidomain(c(X0)))),antidomain(multiplication(X_110,antidomain(c(X0))))) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
c(multiplication(X_110,antidomain(c(X0)))) = forward_box(X_110,c(X0)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_110,antidomain(c(X0)))),forward_box(X_110,c(X0))) )],[refute_0_1502,refute_0_1505]) ).
cnf(refute_0_1507,plain,
( c(multiplication(X_110,antidomain(c(X0)))) != forward_box(X_110,c(X0))
| forward_box(X_110,c(X0)) != forward_box(X_110,antidomain(X0))
| c(multiplication(X_110,antidomain(c(X0)))) = forward_box(X_110,antidomain(X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(multiplication(X_110,antidomain(c(X0)))))),bind(Y,$fot(forward_box(X_110,c(X0)))),bind(Z,$fot(forward_box(X_110,antidomain(X0))))]]) ).
cnf(refute_0_1508,plain,
( forward_box(X_110,c(X0)) != forward_box(X_110,antidomain(X0))
| c(multiplication(X_110,antidomain(c(X0)))) = forward_box(X_110,antidomain(X0)) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,antidomain(c(X0)))),forward_box(X_110,c(X0))) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
c(multiplication(X_110,antidomain(c(X0)))) = forward_box(X_110,antidomain(X0)),
inference(resolve,[$cnf( $equal(forward_box(X_110,c(X0)),forward_box(X_110,antidomain(X0))) )],[refute_0_1460,refute_0_1508]) ).
cnf(refute_0_1510,plain,
( c(multiplication(X_110,antidomain(c(X0)))) != antidomain(forward_diamond(X_110,domain(X0)))
| c(multiplication(X_110,antidomain(c(X0)))) != forward_box(X_110,antidomain(X0))
| forward_box(X_110,antidomain(X0)) = antidomain(forward_diamond(X_110,domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_110,antidomain(c(X0)))),antidomain(forward_diamond(X_110,domain(X0)))) ),[0],$fot(forward_box(X_110,antidomain(X0)))]]) ).
cnf(refute_0_1511,plain,
( c(multiplication(X_110,antidomain(c(X0)))) != antidomain(forward_diamond(X_110,domain(X0)))
| forward_box(X_110,antidomain(X0)) = antidomain(forward_diamond(X_110,domain(X0))) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,antidomain(c(X0)))),forward_box(X_110,antidomain(X0))) )],[refute_0_1509,refute_0_1510]) ).
cnf(refute_0_1512,plain,
forward_box(X_110,antidomain(X0)) = antidomain(forward_diamond(X_110,domain(X0))),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,antidomain(c(X0)))),antidomain(forward_diamond(X_110,domain(X0)))) )],[refute_0_1456,refute_0_1511]) ).
cnf(refute_0_1513,plain,
( forward_box(X_110,antidomain(X0)) != antidomain(forward_diamond(X_110,domain(X0)))
| antidomain(forward_diamond(X_110,domain(X0))) = forward_box(X_110,antidomain(X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(X_110,antidomain(X0)))),bind(Y,$fot(antidomain(forward_diamond(X_110,domain(X0)))))]]) ).
cnf(refute_0_1514,plain,
antidomain(forward_diamond(X_110,domain(X0))) = forward_box(X_110,antidomain(X0)),
inference(resolve,[$cnf( $equal(forward_box(X_110,antidomain(X0)),antidomain(forward_diamond(X_110,domain(X0)))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
antidomain(forward_diamond(X_47,domain(X_515))) = forward_box(X_47,antidomain(X_515)),
inference(subst,[],[refute_0_1514:[bind(X0,$fot(X_515)),bind(X_110,$fot(X_47))]]) ).
cnf(refute_0_1516,plain,
antidomain(antidomain(X_515)) = domain(X_515),
inference(subst,[],[refute_0_8:[bind(X0,$fot(X_515))]]) ).
cnf(refute_0_1517,plain,
c(X_515) = antidomain(X_515),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(X_515))]]) ).
cnf(refute_0_1518,plain,
antidomain(c(X_515)) = antidomain(c(X_515)),
introduced(tautology,[refl,[$fot(antidomain(c(X_515)))]]) ).
cnf(refute_0_1519,plain,
( antidomain(c(X_515)) != antidomain(c(X_515))
| c(X_515) != antidomain(X_515)
| antidomain(c(X_515)) = antidomain(antidomain(X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X_515)),antidomain(c(X_515))) ),[1,0],$fot(antidomain(X_515))]]) ).
cnf(refute_0_1520,plain,
( c(X_515) != antidomain(X_515)
| antidomain(c(X_515)) = antidomain(antidomain(X_515)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_515)),antidomain(c(X_515))) )],[refute_0_1518,refute_0_1519]) ).
cnf(refute_0_1521,plain,
antidomain(c(X_515)) = antidomain(antidomain(X_515)),
inference(resolve,[$cnf( $equal(c(X_515),antidomain(X_515)) )],[refute_0_1517,refute_0_1520]) ).
cnf(refute_0_1522,plain,
( antidomain(antidomain(X_515)) != domain(X_515)
| antidomain(c(X_515)) != antidomain(antidomain(X_515))
| antidomain(c(X_515)) = domain(X_515) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(c(X_515)))),bind(Y,$fot(antidomain(antidomain(X_515)))),bind(Z,$fot(domain(X_515)))]]) ).
cnf(refute_0_1523,plain,
( antidomain(antidomain(X_515)) != domain(X_515)
| antidomain(c(X_515)) = domain(X_515) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_515)),antidomain(antidomain(X_515))) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
antidomain(c(X_515)) = domain(X_515),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_515)),domain(X_515)) )],[refute_0_1516,refute_0_1523]) ).
cnf(refute_0_1525,plain,
c(c(X_515)) = antidomain(c(X_515)),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(c(X_515)))]]) ).
cnf(refute_0_1526,plain,
( antidomain(c(X_515)) != domain(X_515)
| c(c(X_515)) != antidomain(c(X_515))
| c(c(X_515)) = domain(X_515) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(c(X_515)))),bind(Y,$fot(antidomain(c(X_515)))),bind(Z,$fot(domain(X_515)))]]) ).
cnf(refute_0_1527,plain,
( antidomain(c(X_515)) != domain(X_515)
| c(c(X_515)) = domain(X_515) ),
inference(resolve,[$cnf( $equal(c(c(X_515)),antidomain(c(X_515))) )],[refute_0_1525,refute_0_1526]) ).
cnf(refute_0_1528,plain,
c(c(X_515)) = domain(X_515),
inference(resolve,[$cnf( $equal(antidomain(c(X_515)),domain(X_515)) )],[refute_0_1524,refute_0_1527]) ).
cnf(refute_0_1529,plain,
forward_diamond(X_47,c(c(X_515))) = forward_diamond(X_47,c(c(X_515))),
introduced(tautology,[refl,[$fot(forward_diamond(X_47,c(c(X_515))))]]) ).
cnf(refute_0_1530,plain,
( c(c(X_515)) != domain(X_515)
| forward_diamond(X_47,c(c(X_515))) != forward_diamond(X_47,c(c(X_515)))
| forward_diamond(X_47,c(c(X_515))) = forward_diamond(X_47,domain(X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,c(c(X_515))),forward_diamond(X_47,c(c(X_515)))) ),[1,1],$fot(domain(X_515))]]) ).
cnf(refute_0_1531,plain,
( c(c(X_515)) != domain(X_515)
| forward_diamond(X_47,c(c(X_515))) = forward_diamond(X_47,domain(X_515)) ),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,c(c(X_515))),forward_diamond(X_47,c(c(X_515)))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
forward_diamond(X_47,c(c(X_515))) = forward_diamond(X_47,domain(X_515)),
inference(resolve,[$cnf( $equal(c(c(X_515)),domain(X_515)) )],[refute_0_1528,refute_0_1531]) ).
cnf(refute_0_1533,plain,
antidomain(forward_diamond(X_47,c(c(X_515)))) = antidomain(forward_diamond(X_47,c(c(X_515)))),
introduced(tautology,[refl,[$fot(antidomain(forward_diamond(X_47,c(c(X_515)))))]]) ).
cnf(refute_0_1534,plain,
( antidomain(forward_diamond(X_47,c(c(X_515)))) != antidomain(forward_diamond(X_47,c(c(X_515))))
| forward_diamond(X_47,c(c(X_515))) != forward_diamond(X_47,domain(X_515))
| antidomain(forward_diamond(X_47,c(c(X_515)))) = antidomain(forward_diamond(X_47,domain(X_515))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(forward_diamond(X_47,c(c(X_515)))),antidomain(forward_diamond(X_47,c(c(X_515))))) ),[1,0],$fot(forward_diamond(X_47,domain(X_515)))]]) ).
cnf(refute_0_1535,plain,
( forward_diamond(X_47,c(c(X_515))) != forward_diamond(X_47,domain(X_515))
| antidomain(forward_diamond(X_47,c(c(X_515)))) = antidomain(forward_diamond(X_47,domain(X_515))) ),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_47,c(c(X_515)))),antidomain(forward_diamond(X_47,c(c(X_515))))) )],[refute_0_1533,refute_0_1534]) ).
cnf(refute_0_1536,plain,
antidomain(forward_diamond(X_47,c(c(X_515)))) = antidomain(forward_diamond(X_47,domain(X_515))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,c(c(X_515))),forward_diamond(X_47,domain(X_515))) )],[refute_0_1532,refute_0_1535]) ).
cnf(refute_0_1537,plain,
( antidomain(forward_diamond(X_47,c(c(X_515)))) != antidomain(forward_diamond(X_47,domain(X_515)))
| antidomain(forward_diamond(X_47,domain(X_515))) != forward_box(X_47,antidomain(X_515))
| antidomain(forward_diamond(X_47,c(c(X_515)))) = forward_box(X_47,antidomain(X_515)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(forward_diamond(X_47,c(c(X_515)))))),bind(Y,$fot(antidomain(forward_diamond(X_47,domain(X_515))))),bind(Z,$fot(forward_box(X_47,antidomain(X_515))))]]) ).
cnf(refute_0_1538,plain,
( antidomain(forward_diamond(X_47,domain(X_515))) != forward_box(X_47,antidomain(X_515))
| antidomain(forward_diamond(X_47,c(c(X_515)))) = forward_box(X_47,antidomain(X_515)) ),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_47,c(c(X_515)))),antidomain(forward_diamond(X_47,domain(X_515)))) )],[refute_0_1536,refute_0_1537]) ).
cnf(refute_0_1539,plain,
antidomain(forward_diamond(X_47,c(c(X_515)))) = forward_box(X_47,antidomain(X_515)),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_47,domain(X_515))),forward_box(X_47,antidomain(X_515))) )],[refute_0_1515,refute_0_1538]) ).
cnf(refute_0_1540,plain,
( antidomain(forward_diamond(X_47,X_515)) != antidomain(forward_diamond(X_47,c(c(X_515))))
| antidomain(forward_diamond(X_47,c(c(X_515)))) != forward_box(X_47,antidomain(X_515))
| antidomain(forward_diamond(X_47,X_515)) = forward_box(X_47,antidomain(X_515)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(forward_diamond(X_47,X_515)),forward_box(X_47,antidomain(X_515))) ),[0],$fot(antidomain(forward_diamond(X_47,c(c(X_515)))))]]) ).
cnf(refute_0_1541,plain,
( antidomain(forward_diamond(X_47,X_515)) != antidomain(forward_diamond(X_47,c(c(X_515))))
| antidomain(forward_diamond(X_47,X_515)) = forward_box(X_47,antidomain(X_515)) ),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_47,c(c(X_515)))),forward_box(X_47,antidomain(X_515))) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
( c(multiplication(X_47,forward_box(one,X_515))) != antidomain(forward_diamond(X_47,c(c(X_515))))
| antidomain(forward_diamond(X_47,X_515)) = forward_box(X_47,antidomain(X_515)) ),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_47,X_515)),antidomain(forward_diamond(X_47,c(c(X_515))))) )],[refute_0_1452,refute_0_1541]) ).
cnf(refute_0_1543,plain,
antidomain(forward_diamond(X_47,X_515)) = forward_box(X_47,antidomain(X_515)),
inference(resolve,[$cnf( $equal(c(multiplication(X_47,forward_box(one,X_515))),antidomain(forward_diamond(X_47,c(c(X_515))))) )],[refute_0_1317,refute_0_1542]) ).
cnf(refute_0_1544,plain,
( antidomain(forward_diamond(X_47,X_515)) != forward_box(X_47,antidomain(X_515))
| forward_box(X_47,antidomain(X_515)) = antidomain(forward_diamond(X_47,X_515)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(antidomain(forward_diamond(X_47,X_515)))),bind(Y,$fot(forward_box(X_47,antidomain(X_515))))]]) ).
cnf(refute_0_1545,plain,
forward_box(X_47,antidomain(X_515)) = antidomain(forward_diamond(X_47,X_515)),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_47,X_515)),forward_box(X_47,antidomain(X_515))) )],[refute_0_1543,refute_0_1544]) ).
cnf(refute_0_1546,plain,
forward_box(X_47,antidomain(X0)) = antidomain(forward_diamond(X_47,X0)),
inference(subst,[],[refute_0_1545:[bind(X_515,$fot(X0))]]) ).
cnf(refute_0_1547,plain,
forward_box(X_47,c(X0)) = forward_box(X_47,c(X0)),
introduced(tautology,[refl,[$fot(forward_box(X_47,c(X0)))]]) ).
cnf(refute_0_1548,plain,
( c(X0) != antidomain(X0)
| forward_box(X_47,c(X0)) != forward_box(X_47,c(X0))
| forward_box(X_47,c(X0)) = forward_box(X_47,antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X_47,c(X0)),forward_box(X_47,c(X0))) ),[1,1],$fot(antidomain(X0))]]) ).
cnf(refute_0_1549,plain,
( c(X0) != antidomain(X0)
| forward_box(X_47,c(X0)) = forward_box(X_47,antidomain(X0)) ),
inference(resolve,[$cnf( $equal(forward_box(X_47,c(X0)),forward_box(X_47,c(X0))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
forward_box(X_47,c(X0)) = forward_box(X_47,antidomain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_994,refute_0_1549]) ).
cnf(refute_0_1551,plain,
( forward_box(X_47,antidomain(X0)) != antidomain(forward_diamond(X_47,X0))
| forward_box(X_47,c(X0)) != forward_box(X_47,antidomain(X0))
| forward_box(X_47,c(X0)) = antidomain(forward_diamond(X_47,X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(forward_box(X_47,c(X0)))),bind(Y,$fot(forward_box(X_47,antidomain(X0)))),bind(Z,$fot(antidomain(forward_diamond(X_47,X0))))]]) ).
cnf(refute_0_1552,plain,
( forward_box(X_47,antidomain(X0)) != antidomain(forward_diamond(X_47,X0))
| forward_box(X_47,c(X0)) = antidomain(forward_diamond(X_47,X0)) ),
inference(resolve,[$cnf( $equal(forward_box(X_47,c(X0)),forward_box(X_47,antidomain(X0))) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
forward_box(X_47,c(X0)) = antidomain(forward_diamond(X_47,X0)),
inference(resolve,[$cnf( $equal(forward_box(X_47,antidomain(X0)),antidomain(forward_diamond(X_47,X0))) )],[refute_0_1546,refute_0_1552]) ).
cnf(refute_0_1554,plain,
antidomain(forward_box(X_47,c(X0))) = antidomain(forward_box(X_47,c(X0))),
introduced(tautology,[refl,[$fot(antidomain(forward_box(X_47,c(X0))))]]) ).
cnf(refute_0_1555,plain,
( antidomain(forward_box(X_47,c(X0))) != antidomain(forward_box(X_47,c(X0)))
| forward_box(X_47,c(X0)) != antidomain(forward_diamond(X_47,X0))
| antidomain(forward_box(X_47,c(X0))) = antidomain(antidomain(forward_diamond(X_47,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(forward_box(X_47,c(X0))),antidomain(forward_box(X_47,c(X0)))) ),[1,0],$fot(antidomain(forward_diamond(X_47,X0)))]]) ).
cnf(refute_0_1556,plain,
( forward_box(X_47,c(X0)) != antidomain(forward_diamond(X_47,X0))
| antidomain(forward_box(X_47,c(X0))) = antidomain(antidomain(forward_diamond(X_47,X0))) ),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_47,c(X0))),antidomain(forward_box(X_47,c(X0)))) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
antidomain(forward_box(X_47,c(X0))) = antidomain(antidomain(forward_diamond(X_47,X0))),
inference(resolve,[$cnf( $equal(forward_box(X_47,c(X0)),antidomain(forward_diamond(X_47,X0))) )],[refute_0_1553,refute_0_1556]) ).
cnf(refute_0_1558,plain,
( antidomain(antidomain(forward_diamond(X_47,X0))) != domain(forward_diamond(X_47,X0))
| antidomain(forward_box(X_47,c(X0))) != antidomain(antidomain(forward_diamond(X_47,X0)))
| antidomain(forward_box(X_47,c(X0))) = domain(forward_diamond(X_47,X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(forward_box(X_47,c(X0))))),bind(Y,$fot(antidomain(antidomain(forward_diamond(X_47,X0))))),bind(Z,$fot(domain(forward_diamond(X_47,X0))))]]) ).
cnf(refute_0_1559,plain,
( antidomain(antidomain(forward_diamond(X_47,X0))) != domain(forward_diamond(X_47,X0))
| antidomain(forward_box(X_47,c(X0))) = domain(forward_diamond(X_47,X0)) ),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_47,c(X0))),antidomain(antidomain(forward_diamond(X_47,X0)))) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
antidomain(forward_box(X_47,c(X0))) = domain(forward_diamond(X_47,X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(forward_diamond(X_47,X0))),domain(forward_diamond(X_47,X0))) )],[refute_0_1051,refute_0_1559]) ).
cnf(refute_0_1561,plain,
multiplication(X_47,c(X_4)) = multiplication(X_47,c(X_4)),
introduced(tautology,[refl,[$fot(multiplication(X_47,c(X_4)))]]) ).
cnf(refute_0_1562,plain,
( c(X_4) != antidomain(X_4)
| multiplication(X_47,c(X_4)) != multiplication(X_47,c(X_4))
| multiplication(X_47,c(X_4)) = multiplication(X_47,antidomain(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_47,c(X_4)),multiplication(X_47,c(X_4))) ),[1,1],$fot(antidomain(X_4))]]) ).
cnf(refute_0_1563,plain,
( c(X_4) != antidomain(X_4)
| multiplication(X_47,c(X_4)) = multiplication(X_47,antidomain(X_4)) ),
inference(resolve,[$cnf( $equal(multiplication(X_47,c(X_4)),multiplication(X_47,c(X_4))) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
multiplication(X_47,c(X_4)) = multiplication(X_47,antidomain(X_4)),
inference(resolve,[$cnf( $equal(c(X_4),antidomain(X_4)) )],[refute_0_348,refute_0_1563]) ).
cnf(refute_0_1565,plain,
domain(multiplication(X_47,c(X_4))) = domain(multiplication(X_47,c(X_4))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_47,c(X_4))))]]) ).
cnf(refute_0_1566,plain,
( domain(multiplication(X_47,c(X_4))) != domain(multiplication(X_47,c(X_4)))
| multiplication(X_47,c(X_4)) != multiplication(X_47,antidomain(X_4))
| domain(multiplication(X_47,c(X_4))) = domain(multiplication(X_47,antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_47,c(X_4))),domain(multiplication(X_47,c(X_4)))) ),[1,0],$fot(multiplication(X_47,antidomain(X_4)))]]) ).
cnf(refute_0_1567,plain,
( multiplication(X_47,c(X_4)) != multiplication(X_47,antidomain(X_4))
| domain(multiplication(X_47,c(X_4))) = domain(multiplication(X_47,antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_47,c(X_4))),domain(multiplication(X_47,c(X_4)))) )],[refute_0_1565,refute_0_1566]) ).
cnf(refute_0_1568,plain,
domain(multiplication(X_47,c(X_4))) = domain(multiplication(X_47,antidomain(X_4))),
inference(resolve,[$cnf( $equal(multiplication(X_47,c(X_4)),multiplication(X_47,antidomain(X_4))) )],[refute_0_1564,refute_0_1567]) ).
cnf(refute_0_1569,plain,
( domain(multiplication(X_47,c(X_4))) != domain(multiplication(X_47,antidomain(X_4)))
| forward_diamond(X_47,antidomain(X_4)) != domain(multiplication(X_47,c(X_4)))
| forward_diamond(X_47,antidomain(X_4)) = domain(multiplication(X_47,antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,antidomain(X_4)),domain(multiplication(X_47,c(X_4)))) ),[1],$fot(domain(multiplication(X_47,antidomain(X_4))))]]) ).
cnf(refute_0_1570,plain,
( forward_diamond(X_47,antidomain(X_4)) != domain(multiplication(X_47,c(X_4)))
| forward_diamond(X_47,antidomain(X_4)) = domain(multiplication(X_47,antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_47,c(X_4))),domain(multiplication(X_47,antidomain(X_4)))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
forward_diamond(X_47,antidomain(X_4)) = domain(multiplication(X_47,antidomain(X_4))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(X_4)),domain(multiplication(X_47,c(X_4)))) )],[refute_0_1290,refute_0_1570]) ).
cnf(refute_0_1572,plain,
domain(antidomain(c(c(c(X_68))))) = c(c(c(c(X_68)))),
inference(subst,[],[refute_0_182:[bind(X_4,$fot(c(c(c(X_68)))))]]) ).
cnf(refute_0_1573,plain,
forward_box(one,X_68) = antidomain(c(c(c(X_68)))),
inference(subst,[],[refute_0_1071:[bind(X1,$fot(X_68))]]) ).
cnf(refute_0_1574,plain,
( forward_box(one,X_68) != antidomain(c(c(c(X_68))))
| antidomain(c(c(c(X_68)))) = forward_box(one,X_68) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(one,X_68))),bind(Y,$fot(antidomain(c(c(c(X_68))))))]]) ).
cnf(refute_0_1575,plain,
antidomain(c(c(c(X_68)))) = forward_box(one,X_68),
inference(resolve,[$cnf( $equal(forward_box(one,X_68),antidomain(c(c(c(X_68))))) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
( antidomain(c(c(c(X_68)))) != forward_box(one,X_68)
| domain(antidomain(c(c(c(X_68))))) != c(c(c(c(X_68))))
| domain(forward_box(one,X_68)) = c(c(c(c(X_68)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(c(c(c(X_68))))),c(c(c(c(X_68))))) ),[0,0],$fot(forward_box(one,X_68))]]) ).
cnf(refute_0_1577,plain,
( domain(antidomain(c(c(c(X_68))))) != c(c(c(c(X_68))))
| domain(forward_box(one,X_68)) = c(c(c(c(X_68)))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(X_68)))),forward_box(one,X_68)) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
domain(forward_box(one,X_68)) = c(c(c(c(X_68)))),
inference(resolve,[$cnf( $equal(domain(antidomain(c(c(c(X_68))))),c(c(c(c(X_68))))) )],[refute_0_1572,refute_0_1577]) ).
cnf(refute_0_1579,plain,
forward_diamond(one,c(c(domain(X_28)))) = antidomain(c(c(c(domain(X_28))))),
inference(subst,[],[refute_0_1063:[bind(X_48,$fot(c(c(domain(X_28)))))]]) ).
cnf(refute_0_1580,plain,
c(antidomain(c(c(domain(X_28))))) = antidomain(c(c(c(domain(X_28))))),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(c(c(domain(X_28)))))]]) ).
cnf(refute_0_1581,plain,
c(c(c(X_28))) = antidomain(c(c(domain(X_28)))),
inference(subst,[],[refute_0_1087:[bind(X_7,$fot(X_28))]]) ).
cnf(refute_0_1582,plain,
( c(c(c(X_28))) != antidomain(c(c(domain(X_28))))
| antidomain(c(c(domain(X_28)))) = c(c(c(X_28))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c(c(c(X_28))))),bind(Y,$fot(antidomain(c(c(domain(X_28))))))]]) ).
cnf(refute_0_1583,plain,
antidomain(c(c(domain(X_28)))) = c(c(c(X_28))),
inference(resolve,[$cnf( $equal(c(c(c(X_28))),antidomain(c(c(domain(X_28))))) )],[refute_0_1581,refute_0_1582]) ).
cnf(refute_0_1584,plain,
( antidomain(c(c(domain(X_28)))) != c(c(c(X_28)))
| c(antidomain(c(c(domain(X_28))))) != antidomain(c(c(c(domain(X_28)))))
| c(c(c(c(X_28)))) = antidomain(c(c(c(domain(X_28))))) ),
introduced(tautology,[equality,[$cnf( $equal(c(antidomain(c(c(domain(X_28))))),antidomain(c(c(c(domain(X_28)))))) ),[0,0],$fot(c(c(c(X_28))))]]) ).
cnf(refute_0_1585,plain,
( c(antidomain(c(c(domain(X_28))))) != antidomain(c(c(c(domain(X_28)))))
| c(c(c(c(X_28)))) = antidomain(c(c(c(domain(X_28))))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(domain(X_28)))),c(c(c(X_28)))) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
c(c(c(c(X_28)))) = antidomain(c(c(c(domain(X_28))))),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(domain(X_28))))),antidomain(c(c(c(domain(X_28)))))) )],[refute_0_1580,refute_0_1585]) ).
cnf(refute_0_1587,plain,
( c(c(c(c(X_28)))) != antidomain(c(c(c(domain(X_28)))))
| antidomain(c(c(c(domain(X_28))))) = c(c(c(c(X_28)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c(c(c(c(X_28)))))),bind(Y,$fot(antidomain(c(c(c(domain(X_28)))))))]]) ).
cnf(refute_0_1588,plain,
antidomain(c(c(c(domain(X_28))))) = c(c(c(c(X_28)))),
inference(resolve,[$cnf( $equal(c(c(c(c(X_28)))),antidomain(c(c(c(domain(X_28)))))) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
( antidomain(c(c(c(domain(X_28))))) != c(c(c(c(X_28))))
| forward_diamond(one,c(c(domain(X_28)))) != antidomain(c(c(c(domain(X_28)))))
| forward_diamond(one,c(c(domain(X_28)))) = c(c(c(c(X_28)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,c(c(domain(X_28)))),antidomain(c(c(c(domain(X_28)))))) ),[1],$fot(c(c(c(c(X_28)))))]]) ).
cnf(refute_0_1590,plain,
( forward_diamond(one,c(c(domain(X_28)))) != antidomain(c(c(c(domain(X_28)))))
| forward_diamond(one,c(c(domain(X_28)))) = c(c(c(c(X_28)))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(domain(X_28))))),c(c(c(c(X_28))))) )],[refute_0_1588,refute_0_1589]) ).
cnf(refute_0_1591,plain,
forward_diamond(one,c(c(domain(X_28)))) = c(c(c(c(X_28)))),
inference(resolve,[$cnf( $equal(forward_diamond(one,c(c(domain(X_28)))),antidomain(c(c(c(domain(X_28)))))) )],[refute_0_1579,refute_0_1590]) ).
cnf(refute_0_1592,plain,
antidomain(c(c(c(domain(X_28))))) = forward_box(one,domain(X_28)),
inference(subst,[],[refute_0_1095:[bind(X1,$fot(domain(X_28)))]]) ).
cnf(refute_0_1593,plain,
( antidomain(c(c(c(domain(X_28))))) != forward_box(one,domain(X_28))
| forward_diamond(one,c(c(domain(X_28)))) != antidomain(c(c(c(domain(X_28)))))
| forward_diamond(one,c(c(domain(X_28)))) = forward_box(one,domain(X_28)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(forward_diamond(one,c(c(domain(X_28)))))),bind(Y,$fot(antidomain(c(c(c(domain(X_28))))))),bind(Z,$fot(forward_box(one,domain(X_28))))]]) ).
cnf(refute_0_1594,plain,
( antidomain(c(c(c(domain(X_28))))) != forward_box(one,domain(X_28))
| forward_diamond(one,c(c(domain(X_28)))) = forward_box(one,domain(X_28)) ),
inference(resolve,[$cnf( $equal(forward_diamond(one,c(c(domain(X_28)))),antidomain(c(c(c(domain(X_28)))))) )],[refute_0_1579,refute_0_1593]) ).
cnf(refute_0_1595,plain,
forward_diamond(one,c(c(domain(X_28)))) = forward_box(one,domain(X_28)),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(domain(X_28))))),forward_box(one,domain(X_28))) )],[refute_0_1592,refute_0_1594]) ).
cnf(refute_0_1596,plain,
( forward_diamond(one,c(c(domain(X_28)))) != c(c(c(c(X_28))))
| forward_diamond(one,c(c(domain(X_28)))) != forward_box(one,domain(X_28))
| forward_box(one,domain(X_28)) = c(c(c(c(X_28)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,c(c(domain(X_28)))),c(c(c(c(X_28))))) ),[0],$fot(forward_box(one,domain(X_28)))]]) ).
cnf(refute_0_1597,plain,
( forward_diamond(one,c(c(domain(X_28)))) != c(c(c(c(X_28))))
| forward_box(one,domain(X_28)) = c(c(c(c(X_28)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(one,c(c(domain(X_28)))),forward_box(one,domain(X_28))) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
forward_box(one,domain(X_28)) = c(c(c(c(X_28)))),
inference(resolve,[$cnf( $equal(forward_diamond(one,c(c(domain(X_28)))),c(c(c(c(X_28))))) )],[refute_0_1591,refute_0_1597]) ).
cnf(refute_0_1599,plain,
( forward_box(one,domain(X_28)) != c(c(c(c(X_28))))
| c(c(c(c(X_28)))) = forward_box(one,domain(X_28)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(one,domain(X_28)))),bind(Y,$fot(c(c(c(c(X_28))))))]]) ).
cnf(refute_0_1600,plain,
c(c(c(c(X_28)))) = forward_box(one,domain(X_28)),
inference(resolve,[$cnf( $equal(forward_box(one,domain(X_28)),c(c(c(c(X_28))))) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
c(c(c(c(X_68)))) = forward_box(one,domain(X_68)),
inference(subst,[],[refute_0_1600:[bind(X_28,$fot(X_68))]]) ).
cnf(refute_0_1602,plain,
( c(c(c(c(X_68)))) != forward_box(one,domain(X_68))
| domain(forward_box(one,X_68)) != c(c(c(c(X_68))))
| domain(forward_box(one,X_68)) = forward_box(one,domain(X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(forward_box(one,X_68)),c(c(c(c(X_68))))) ),[1],$fot(forward_box(one,domain(X_68)))]]) ).
cnf(refute_0_1603,plain,
( domain(forward_box(one,X_68)) != c(c(c(c(X_68))))
| domain(forward_box(one,X_68)) = forward_box(one,domain(X_68)) ),
inference(resolve,[$cnf( $equal(c(c(c(c(X_68)))),forward_box(one,domain(X_68))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
domain(forward_box(one,X_68)) = forward_box(one,domain(X_68)),
inference(resolve,[$cnf( $equal(domain(forward_box(one,X_68)),c(c(c(c(X_68))))) )],[refute_0_1578,refute_0_1603]) ).
cnf(refute_0_1605,plain,
domain(forward_box(one,multiplication(X_113,c(X_112)))) = forward_box(one,domain(multiplication(X_113,c(X_112)))),
inference(subst,[],[refute_0_1604:[bind(X_68,$fot(multiplication(X_113,c(X_112))))]]) ).
cnf(refute_0_1606,plain,
forward_diamond(X_113,antidomain(X_112)) = domain(multiplication(X_113,c(X_112))),
inference(subst,[],[refute_0_1290:[bind(X_4,$fot(X_112)),bind(X_47,$fot(X_113))]]) ).
cnf(refute_0_1607,plain,
( forward_diamond(X_113,antidomain(X_112)) != domain(multiplication(X_113,c(X_112)))
| domain(multiplication(X_113,c(X_112))) = forward_diamond(X_113,antidomain(X_112)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_diamond(X_113,antidomain(X_112)))),bind(Y,$fot(domain(multiplication(X_113,c(X_112)))))]]) ).
cnf(refute_0_1608,plain,
domain(multiplication(X_113,c(X_112))) = forward_diamond(X_113,antidomain(X_112)),
inference(resolve,[$cnf( $equal(forward_diamond(X_113,antidomain(X_112)),domain(multiplication(X_113,c(X_112)))) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
( domain(forward_box(one,multiplication(X_113,c(X_112)))) != forward_box(one,domain(multiplication(X_113,c(X_112))))
| domain(multiplication(X_113,c(X_112))) != forward_diamond(X_113,antidomain(X_112))
| domain(forward_box(one,multiplication(X_113,c(X_112)))) = forward_box(one,forward_diamond(X_113,antidomain(X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(forward_box(one,multiplication(X_113,c(X_112)))),forward_box(one,domain(multiplication(X_113,c(X_112))))) ),[1,1],$fot(forward_diamond(X_113,antidomain(X_112)))]]) ).
cnf(refute_0_1610,plain,
( domain(forward_box(one,multiplication(X_113,c(X_112)))) != forward_box(one,domain(multiplication(X_113,c(X_112))))
| domain(forward_box(one,multiplication(X_113,c(X_112)))) = forward_box(one,forward_diamond(X_113,antidomain(X_112))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_113,c(X_112))),forward_diamond(X_113,antidomain(X_112))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
domain(forward_box(one,multiplication(X_113,c(X_112)))) = forward_box(one,forward_diamond(X_113,antidomain(X_112))),
inference(resolve,[$cnf( $equal(domain(forward_box(one,multiplication(X_113,c(X_112)))),forward_box(one,domain(multiplication(X_113,c(X_112))))) )],[refute_0_1605,refute_0_1610]) ).
cnf(refute_0_1612,plain,
( forward_box(one,X1) != domain(forward_box(one,X1))
| domain(forward_box(one,X1)) = forward_box(one,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_box(one,X1))),bind(Y,$fot(domain(forward_box(one,X1))))]]) ).
cnf(refute_0_1613,plain,
domain(forward_box(one,X1)) = forward_box(one,X1),
inference(resolve,[$cnf( $equal(forward_box(one,X1),domain(forward_box(one,X1))) )],[refute_0_1276,refute_0_1612]) ).
cnf(refute_0_1614,plain,
domain(forward_box(one,multiplication(X_113,c(X_112)))) = forward_box(one,multiplication(X_113,c(X_112))),
inference(subst,[],[refute_0_1613:[bind(X1,$fot(multiplication(X_113,c(X_112))))]]) ).
cnf(refute_0_1615,plain,
( domain(forward_box(one,multiplication(X_113,c(X_112)))) != forward_box(one,forward_diamond(X_113,antidomain(X_112)))
| domain(forward_box(one,multiplication(X_113,c(X_112)))) != forward_box(one,multiplication(X_113,c(X_112)))
| forward_box(one,multiplication(X_113,c(X_112))) = forward_box(one,forward_diamond(X_113,antidomain(X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(forward_box(one,multiplication(X_113,c(X_112)))),forward_box(one,forward_diamond(X_113,antidomain(X_112)))) ),[0],$fot(forward_box(one,multiplication(X_113,c(X_112))))]]) ).
cnf(refute_0_1616,plain,
( domain(forward_box(one,multiplication(X_113,c(X_112)))) != forward_box(one,forward_diamond(X_113,antidomain(X_112)))
| forward_box(one,multiplication(X_113,c(X_112))) = forward_box(one,forward_diamond(X_113,antidomain(X_112))) ),
inference(resolve,[$cnf( $equal(domain(forward_box(one,multiplication(X_113,c(X_112)))),forward_box(one,multiplication(X_113,c(X_112)))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
forward_box(one,multiplication(X_113,c(X_112))) = forward_box(one,forward_diamond(X_113,antidomain(X_112))),
inference(resolve,[$cnf( $equal(domain(forward_box(one,multiplication(X_113,c(X_112)))),forward_box(one,forward_diamond(X_113,antidomain(X_112)))) )],[refute_0_1611,refute_0_1616]) ).
cnf(refute_0_1618,plain,
c(c(domain(multiplication(X0,domain(X1))))) = forward_box(one,multiplication(X0,domain(X1))),
inference(subst,[],[refute_0_1257:[bind(X_511,$fot(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_1619,plain,
( forward_diamond(X0,X1) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_diamond(X0,X1))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_1620,plain,
domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(resolve,[$cnf( $equal(forward_diamond(X0,X1),domain(multiplication(X0,domain(X1)))) )],[refute_0_417,refute_0_1619]) ).
cnf(refute_0_1621,plain,
( c(c(domain(multiplication(X0,domain(X1))))) != forward_box(one,multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| c(c(forward_diamond(X0,X1))) = forward_box(one,multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(domain(multiplication(X0,domain(X1))))),forward_box(one,multiplication(X0,domain(X1)))) ),[0,0,0],$fot(forward_diamond(X0,X1))]]) ).
cnf(refute_0_1622,plain,
( c(c(domain(multiplication(X0,domain(X1))))) != forward_box(one,multiplication(X0,domain(X1)))
| c(c(forward_diamond(X0,X1))) = forward_box(one,multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),forward_diamond(X0,X1)) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
c(c(forward_diamond(X0,X1))) = forward_box(one,multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(c(c(domain(multiplication(X0,domain(X1))))),forward_box(one,multiplication(X0,domain(X1)))) )],[refute_0_1618,refute_0_1622]) ).
cnf(refute_0_1624,plain,
forward_box(one,multiplication(X_110,domain(X_111))) = antidomain(c(c(c(multiplication(X_110,domain(X_111)))))),
inference(subst,[],[refute_0_1071:[bind(X1,$fot(multiplication(X_110,domain(X_111))))]]) ).
cnf(refute_0_1625,plain,
c(multiplication(X_110,domain(X_111))) = antidomain(forward_diamond(X_110,X_111)),
inference(subst,[],[refute_0_423:[bind(X_47,$fot(X_110)),bind(X_48,$fot(X_111))]]) ).
cnf(refute_0_1626,plain,
( c(multiplication(X_110,domain(X_111))) != antidomain(forward_diamond(X_110,X_111))
| forward_box(one,multiplication(X_110,domain(X_111))) != antidomain(c(c(c(multiplication(X_110,domain(X_111))))))
| forward_box(one,multiplication(X_110,domain(X_111))) = antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_110,domain(X_111))),antidomain(c(c(c(multiplication(X_110,domain(X_111))))))) ),[1,0,0,0],$fot(antidomain(forward_diamond(X_110,X_111)))]]) ).
cnf(refute_0_1627,plain,
( forward_box(one,multiplication(X_110,domain(X_111))) != antidomain(c(c(c(multiplication(X_110,domain(X_111))))))
| forward_box(one,multiplication(X_110,domain(X_111))) = antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_110,domain(X_111))),antidomain(forward_diamond(X_110,X_111))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
forward_box(one,multiplication(X_110,domain(X_111))) = antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_110,domain(X_111))),antidomain(c(c(c(multiplication(X_110,domain(X_111))))))) )],[refute_0_1624,refute_0_1627]) ).
cnf(refute_0_1629,plain,
domain(c(forward_diamond(X_110,X_111))) = c(domain(forward_diamond(X_110,X_111))),
inference(subst,[],[refute_0_1102:[bind(X_6,$fot(forward_diamond(X_110,X_111)))]]) ).
cnf(refute_0_1630,plain,
c(domain(c(forward_diamond(X_110,X_111)))) = c(domain(c(forward_diamond(X_110,X_111)))),
introduced(tautology,[refl,[$fot(c(domain(c(forward_diamond(X_110,X_111)))))]]) ).
cnf(refute_0_1631,plain,
( c(domain(c(forward_diamond(X_110,X_111)))) != c(domain(c(forward_diamond(X_110,X_111))))
| domain(c(forward_diamond(X_110,X_111))) != c(domain(forward_diamond(X_110,X_111)))
| c(domain(c(forward_diamond(X_110,X_111)))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(c(domain(c(forward_diamond(X_110,X_111)))),c(domain(c(forward_diamond(X_110,X_111))))) ),[1,0],$fot(c(domain(forward_diamond(X_110,X_111))))]]) ).
cnf(refute_0_1632,plain,
( domain(c(forward_diamond(X_110,X_111))) != c(domain(forward_diamond(X_110,X_111)))
| c(domain(c(forward_diamond(X_110,X_111)))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
inference(resolve,[$cnf( $equal(c(domain(c(forward_diamond(X_110,X_111)))),c(domain(c(forward_diamond(X_110,X_111))))) )],[refute_0_1630,refute_0_1631]) ).
cnf(refute_0_1633,plain,
c(domain(c(forward_diamond(X_110,X_111)))) = c(c(domain(forward_diamond(X_110,X_111)))),
inference(resolve,[$cnf( $equal(domain(c(forward_diamond(X_110,X_111))),c(domain(forward_diamond(X_110,X_111)))) )],[refute_0_1629,refute_0_1632]) ).
cnf(refute_0_1634,plain,
domain(c(c(forward_diamond(X_110,X_111)))) = c(domain(c(forward_diamond(X_110,X_111)))),
inference(subst,[],[refute_0_1102:[bind(X_6,$fot(c(forward_diamond(X_110,X_111))))]]) ).
cnf(refute_0_1635,plain,
( c(domain(c(forward_diamond(X_110,X_111)))) != c(c(domain(forward_diamond(X_110,X_111))))
| domain(c(c(forward_diamond(X_110,X_111)))) != c(domain(c(forward_diamond(X_110,X_111))))
| domain(c(c(forward_diamond(X_110,X_111)))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain(c(c(forward_diamond(X_110,X_111)))))),bind(Y,$fot(c(domain(c(forward_diamond(X_110,X_111)))))),bind(Z,$fot(c(c(domain(forward_diamond(X_110,X_111))))))]]) ).
cnf(refute_0_1636,plain,
( c(domain(c(forward_diamond(X_110,X_111)))) != c(c(domain(forward_diamond(X_110,X_111))))
| domain(c(c(forward_diamond(X_110,X_111)))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
inference(resolve,[$cnf( $equal(domain(c(c(forward_diamond(X_110,X_111)))),c(domain(c(forward_diamond(X_110,X_111))))) )],[refute_0_1634,refute_0_1635]) ).
cnf(refute_0_1637,plain,
domain(c(c(forward_diamond(X_110,X_111)))) = c(c(domain(forward_diamond(X_110,X_111)))),
inference(resolve,[$cnf( $equal(c(domain(c(forward_diamond(X_110,X_111)))),c(c(domain(forward_diamond(X_110,X_111))))) )],[refute_0_1633,refute_0_1636]) ).
cnf(refute_0_1638,plain,
antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) = domain(c(c(forward_diamond(X_110,X_111)))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(c(c(forward_diamond(X_110,X_111)))))]]) ).
cnf(refute_0_1639,plain,
( antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) != domain(c(c(forward_diamond(X_110,X_111))))
| domain(c(c(forward_diamond(X_110,X_111)))) != c(c(domain(forward_diamond(X_110,X_111))))
| antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))))),bind(Y,$fot(domain(c(c(forward_diamond(X_110,X_111)))))),bind(Z,$fot(c(c(domain(forward_diamond(X_110,X_111))))))]]) ).
cnf(refute_0_1640,plain,
( domain(c(c(forward_diamond(X_110,X_111)))) != c(c(domain(forward_diamond(X_110,X_111))))
| antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))),domain(c(c(forward_diamond(X_110,X_111))))) )],[refute_0_1638,refute_0_1639]) ).
cnf(refute_0_1641,plain,
antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) = c(c(domain(forward_diamond(X_110,X_111)))),
inference(resolve,[$cnf( $equal(domain(c(c(forward_diamond(X_110,X_111)))),c(c(domain(forward_diamond(X_110,X_111))))) )],[refute_0_1637,refute_0_1640]) ).
cnf(refute_0_1642,plain,
c(antidomain(c(forward_diamond(X_110,X_111)))) = antidomain(c(c(forward_diamond(X_110,X_111)))),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(c(forward_diamond(X_110,X_111))))]]) ).
cnf(refute_0_1643,plain,
c(antidomain(forward_diamond(X_110,X_111))) = antidomain(c(forward_diamond(X_110,X_111))),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(forward_diamond(X_110,X_111)))]]) ).
cnf(refute_0_1644,plain,
c(c(antidomain(forward_diamond(X_110,X_111)))) = c(c(antidomain(forward_diamond(X_110,X_111)))),
introduced(tautology,[refl,[$fot(c(c(antidomain(forward_diamond(X_110,X_111)))))]]) ).
cnf(refute_0_1645,plain,
( c(antidomain(forward_diamond(X_110,X_111))) != antidomain(c(forward_diamond(X_110,X_111)))
| c(c(antidomain(forward_diamond(X_110,X_111)))) != c(c(antidomain(forward_diamond(X_110,X_111))))
| c(c(antidomain(forward_diamond(X_110,X_111)))) = c(antidomain(c(forward_diamond(X_110,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(antidomain(forward_diamond(X_110,X_111)))),c(c(antidomain(forward_diamond(X_110,X_111))))) ),[1,0],$fot(antidomain(c(forward_diamond(X_110,X_111))))]]) ).
cnf(refute_0_1646,plain,
( c(antidomain(forward_diamond(X_110,X_111))) != antidomain(c(forward_diamond(X_110,X_111)))
| c(c(antidomain(forward_diamond(X_110,X_111)))) = c(antidomain(c(forward_diamond(X_110,X_111)))) ),
inference(resolve,[$cnf( $equal(c(c(antidomain(forward_diamond(X_110,X_111)))),c(c(antidomain(forward_diamond(X_110,X_111))))) )],[refute_0_1644,refute_0_1645]) ).
cnf(refute_0_1647,plain,
c(c(antidomain(forward_diamond(X_110,X_111)))) = c(antidomain(c(forward_diamond(X_110,X_111)))),
inference(resolve,[$cnf( $equal(c(antidomain(forward_diamond(X_110,X_111))),antidomain(c(forward_diamond(X_110,X_111)))) )],[refute_0_1643,refute_0_1646]) ).
cnf(refute_0_1648,plain,
( c(antidomain(c(forward_diamond(X_110,X_111)))) != antidomain(c(c(forward_diamond(X_110,X_111))))
| c(c(antidomain(forward_diamond(X_110,X_111)))) != c(antidomain(c(forward_diamond(X_110,X_111))))
| c(c(antidomain(forward_diamond(X_110,X_111)))) = antidomain(c(c(forward_diamond(X_110,X_111)))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(c(antidomain(forward_diamond(X_110,X_111)))))),bind(Y,$fot(c(antidomain(c(forward_diamond(X_110,X_111)))))),bind(Z,$fot(antidomain(c(c(forward_diamond(X_110,X_111))))))]]) ).
cnf(refute_0_1649,plain,
( c(antidomain(c(forward_diamond(X_110,X_111)))) != antidomain(c(c(forward_diamond(X_110,X_111))))
| c(c(antidomain(forward_diamond(X_110,X_111)))) = antidomain(c(c(forward_diamond(X_110,X_111)))) ),
inference(resolve,[$cnf( $equal(c(c(antidomain(forward_diamond(X_110,X_111)))),c(antidomain(c(forward_diamond(X_110,X_111))))) )],[refute_0_1647,refute_0_1648]) ).
cnf(refute_0_1650,plain,
c(c(antidomain(forward_diamond(X_110,X_111)))) = antidomain(c(c(forward_diamond(X_110,X_111)))),
inference(resolve,[$cnf( $equal(c(antidomain(c(forward_diamond(X_110,X_111)))),antidomain(c(c(forward_diamond(X_110,X_111))))) )],[refute_0_1642,refute_0_1649]) ).
cnf(refute_0_1651,plain,
antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) = antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))),
introduced(tautology,[refl,[$fot(antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))))]]) ).
cnf(refute_0_1652,plain,
( antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) != antidomain(c(c(antidomain(forward_diamond(X_110,X_111)))))
| c(c(antidomain(forward_diamond(X_110,X_111)))) != antidomain(c(c(forward_diamond(X_110,X_111))))
| antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) = antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))),antidomain(c(c(antidomain(forward_diamond(X_110,X_111)))))) ),[1,0],$fot(antidomain(c(c(forward_diamond(X_110,X_111)))))]]) ).
cnf(refute_0_1653,plain,
( c(c(antidomain(forward_diamond(X_110,X_111)))) != antidomain(c(c(forward_diamond(X_110,X_111))))
| antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) = antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))),antidomain(c(c(antidomain(forward_diamond(X_110,X_111)))))) )],[refute_0_1651,refute_0_1652]) ).
cnf(refute_0_1654,plain,
antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) = antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))),
inference(resolve,[$cnf( $equal(c(c(antidomain(forward_diamond(X_110,X_111)))),antidomain(c(c(forward_diamond(X_110,X_111))))) )],[refute_0_1650,refute_0_1653]) ).
cnf(refute_0_1655,plain,
( antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) != c(c(domain(forward_diamond(X_110,X_111))))
| antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) != antidomain(antidomain(c(c(forward_diamond(X_110,X_111)))))
| antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))))),bind(Y,$fot(antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))))),bind(Z,$fot(c(c(domain(forward_diamond(X_110,X_111))))))]]) ).
cnf(refute_0_1656,plain,
( antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))) != c(c(domain(forward_diamond(X_110,X_111))))
| antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))),antidomain(antidomain(c(c(forward_diamond(X_110,X_111)))))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) = c(c(domain(forward_diamond(X_110,X_111)))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(c(c(forward_diamond(X_110,X_111))))),c(c(domain(forward_diamond(X_110,X_111))))) )],[refute_0_1641,refute_0_1656]) ).
cnf(refute_0_1658,plain,
( antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))) != c(c(domain(forward_diamond(X_110,X_111))))
| forward_box(one,multiplication(X_110,domain(X_111))) != antidomain(c(c(antidomain(forward_diamond(X_110,X_111)))))
| forward_box(one,multiplication(X_110,domain(X_111))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_110,domain(X_111))),antidomain(c(c(antidomain(forward_diamond(X_110,X_111)))))) ),[1],$fot(c(c(domain(forward_diamond(X_110,X_111)))))]]) ).
cnf(refute_0_1659,plain,
( forward_box(one,multiplication(X_110,domain(X_111))) != antidomain(c(c(antidomain(forward_diamond(X_110,X_111)))))
| forward_box(one,multiplication(X_110,domain(X_111))) = c(c(domain(forward_diamond(X_110,X_111)))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(antidomain(forward_diamond(X_110,X_111))))),c(c(domain(forward_diamond(X_110,X_111))))) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
forward_box(one,multiplication(X_110,domain(X_111))) = c(c(domain(forward_diamond(X_110,X_111)))),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_110,domain(X_111))),antidomain(c(c(antidomain(forward_diamond(X_110,X_111)))))) )],[refute_0_1628,refute_0_1659]) ).
cnf(refute_0_1661,plain,
c(c(domain(forward_diamond(X_110,X_111)))) = forward_box(one,forward_diamond(X_110,X_111)),
inference(subst,[],[refute_0_1257:[bind(X_511,$fot(forward_diamond(X_110,X_111)))]]) ).
cnf(refute_0_1662,plain,
( c(c(domain(forward_diamond(X_110,X_111)))) != forward_box(one,forward_diamond(X_110,X_111))
| forward_box(one,multiplication(X_110,domain(X_111))) != c(c(domain(forward_diamond(X_110,X_111))))
| forward_box(one,multiplication(X_110,domain(X_111))) = forward_box(one,forward_diamond(X_110,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_110,domain(X_111))),c(c(domain(forward_diamond(X_110,X_111))))) ),[1],$fot(forward_box(one,forward_diamond(X_110,X_111)))]]) ).
cnf(refute_0_1663,plain,
( forward_box(one,multiplication(X_110,domain(X_111))) != c(c(domain(forward_diamond(X_110,X_111))))
| forward_box(one,multiplication(X_110,domain(X_111))) = forward_box(one,forward_diamond(X_110,X_111)) ),
inference(resolve,[$cnf( $equal(c(c(domain(forward_diamond(X_110,X_111)))),forward_box(one,forward_diamond(X_110,X_111))) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
forward_box(one,multiplication(X_110,domain(X_111))) = forward_box(one,forward_diamond(X_110,X_111)),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_110,domain(X_111))),c(c(domain(forward_diamond(X_110,X_111))))) )],[refute_0_1660,refute_0_1663]) ).
cnf(refute_0_1665,plain,
forward_box(one,multiplication(X0,domain(X1))) = forward_box(one,forward_diamond(X0,X1)),
inference(subst,[],[refute_0_1664:[bind(X_110,$fot(X0)),bind(X_111,$fot(X1))]]) ).
cnf(refute_0_1666,plain,
( c(c(forward_diamond(X0,X1))) != forward_box(one,multiplication(X0,domain(X1)))
| forward_box(one,multiplication(X0,domain(X1))) != forward_box(one,forward_diamond(X0,X1))
| c(c(forward_diamond(X0,X1))) = forward_box(one,forward_diamond(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(c(forward_diamond(X0,X1))),forward_box(one,forward_diamond(X0,X1))) ),[0],$fot(forward_box(one,multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_1667,plain,
( c(c(forward_diamond(X0,X1))) != forward_box(one,multiplication(X0,domain(X1)))
| c(c(forward_diamond(X0,X1))) = forward_box(one,forward_diamond(X0,X1)) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X0,domain(X1))),forward_box(one,forward_diamond(X0,X1))) )],[refute_0_1665,refute_0_1666]) ).
cnf(refute_0_1668,plain,
c(c(forward_diamond(X0,X1))) = forward_box(one,forward_diamond(X0,X1)),
inference(resolve,[$cnf( $equal(c(c(forward_diamond(X0,X1))),forward_box(one,multiplication(X0,domain(X1)))) )],[refute_0_1623,refute_0_1667]) ).
cnf(refute_0_1669,plain,
( c(c(forward_diamond(X0,X1))) != forward_box(one,forward_diamond(X0,X1))
| forward_box(one,forward_diamond(X0,X1)) = c(c(forward_diamond(X0,X1))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c(c(forward_diamond(X0,X1))))),bind(Y,$fot(forward_box(one,forward_diamond(X0,X1))))]]) ).
cnf(refute_0_1670,plain,
forward_box(one,forward_diamond(X0,X1)) = c(c(forward_diamond(X0,X1))),
inference(resolve,[$cnf( $equal(c(c(forward_diamond(X0,X1))),forward_box(one,forward_diamond(X0,X1))) )],[refute_0_1668,refute_0_1669]) ).
cnf(refute_0_1671,plain,
forward_box(one,forward_diamond(X_113,antidomain(X_112))) = c(c(forward_diamond(X_113,antidomain(X_112)))),
inference(subst,[],[refute_0_1670:[bind(X0,$fot(X_113)),bind(X1,$fot(antidomain(X_112)))]]) ).
cnf(refute_0_1672,plain,
( forward_box(one,forward_diamond(X_113,antidomain(X_112))) != c(c(forward_diamond(X_113,antidomain(X_112))))
| forward_box(one,multiplication(X_113,c(X_112))) != forward_box(one,forward_diamond(X_113,antidomain(X_112)))
| forward_box(one,multiplication(X_113,c(X_112))) = c(c(forward_diamond(X_113,antidomain(X_112)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_113,c(X_112))),forward_box(one,forward_diamond(X_113,antidomain(X_112)))) ),[1],$fot(c(c(forward_diamond(X_113,antidomain(X_112)))))]]) ).
cnf(refute_0_1673,plain,
( forward_box(one,multiplication(X_113,c(X_112))) != forward_box(one,forward_diamond(X_113,antidomain(X_112)))
| forward_box(one,multiplication(X_113,c(X_112))) = c(c(forward_diamond(X_113,antidomain(X_112)))) ),
inference(resolve,[$cnf( $equal(forward_box(one,forward_diamond(X_113,antidomain(X_112))),c(c(forward_diamond(X_113,antidomain(X_112))))) )],[refute_0_1671,refute_0_1672]) ).
cnf(refute_0_1674,plain,
forward_box(one,multiplication(X_113,c(X_112))) = c(c(forward_diamond(X_113,antidomain(X_112)))),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_113,c(X_112))),forward_box(one,forward_diamond(X_113,antidomain(X_112)))) )],[refute_0_1617,refute_0_1673]) ).
cnf(refute_0_1675,plain,
c(X_112) = antidomain(X_112),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(X_112))]]) ).
cnf(refute_0_1676,plain,
multiplication(X_113,c(X_112)) = multiplication(X_113,c(X_112)),
introduced(tautology,[refl,[$fot(multiplication(X_113,c(X_112)))]]) ).
cnf(refute_0_1677,plain,
( c(X_112) != antidomain(X_112)
| multiplication(X_113,c(X_112)) != multiplication(X_113,c(X_112))
| multiplication(X_113,c(X_112)) = multiplication(X_113,antidomain(X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_113,c(X_112)),multiplication(X_113,c(X_112))) ),[1,1],$fot(antidomain(X_112))]]) ).
cnf(refute_0_1678,plain,
( c(X_112) != antidomain(X_112)
| multiplication(X_113,c(X_112)) = multiplication(X_113,antidomain(X_112)) ),
inference(resolve,[$cnf( $equal(multiplication(X_113,c(X_112)),multiplication(X_113,c(X_112))) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
multiplication(X_113,c(X_112)) = multiplication(X_113,antidomain(X_112)),
inference(resolve,[$cnf( $equal(c(X_112),antidomain(X_112)) )],[refute_0_1675,refute_0_1678]) ).
cnf(refute_0_1680,plain,
forward_box(one,multiplication(X_113,c(X_112))) = forward_box(one,multiplication(X_113,c(X_112))),
introduced(tautology,[refl,[$fot(forward_box(one,multiplication(X_113,c(X_112))))]]) ).
cnf(refute_0_1681,plain,
( forward_box(one,multiplication(X_113,c(X_112))) != forward_box(one,multiplication(X_113,c(X_112)))
| multiplication(X_113,c(X_112)) != multiplication(X_113,antidomain(X_112))
| forward_box(one,multiplication(X_113,c(X_112))) = forward_box(one,multiplication(X_113,antidomain(X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_113,c(X_112))),forward_box(one,multiplication(X_113,c(X_112)))) ),[1,1],$fot(multiplication(X_113,antidomain(X_112)))]]) ).
cnf(refute_0_1682,plain,
( multiplication(X_113,c(X_112)) != multiplication(X_113,antidomain(X_112))
| forward_box(one,multiplication(X_113,c(X_112))) = forward_box(one,multiplication(X_113,antidomain(X_112))) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_113,c(X_112))),forward_box(one,multiplication(X_113,c(X_112)))) )],[refute_0_1680,refute_0_1681]) ).
cnf(refute_0_1683,plain,
forward_box(one,multiplication(X_113,c(X_112))) = forward_box(one,multiplication(X_113,antidomain(X_112))),
inference(resolve,[$cnf( $equal(multiplication(X_113,c(X_112)),multiplication(X_113,antidomain(X_112))) )],[refute_0_1679,refute_0_1682]) ).
cnf(refute_0_1684,plain,
( forward_box(one,multiplication(X_113,c(X_112))) != c(c(forward_diamond(X_113,antidomain(X_112))))
| forward_box(one,multiplication(X_113,c(X_112))) != forward_box(one,multiplication(X_113,antidomain(X_112)))
| forward_box(one,multiplication(X_113,antidomain(X_112))) = c(c(forward_diamond(X_113,antidomain(X_112)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_113,c(X_112))),c(c(forward_diamond(X_113,antidomain(X_112))))) ),[0],$fot(forward_box(one,multiplication(X_113,antidomain(X_112))))]]) ).
cnf(refute_0_1685,plain,
( forward_box(one,multiplication(X_113,c(X_112))) != c(c(forward_diamond(X_113,antidomain(X_112))))
| forward_box(one,multiplication(X_113,antidomain(X_112))) = c(c(forward_diamond(X_113,antidomain(X_112)))) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_113,c(X_112))),forward_box(one,multiplication(X_113,antidomain(X_112)))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
antidomain(forward_diamond(X_113,antidomain(X_112))) = forward_box(X_113,X_112),
inference(subst,[],[refute_0_1496:[bind(X0,$fot(X_113)),bind(X1,$fot(X_112))]]) ).
cnf(refute_0_1687,plain,
c(forward_diamond(X_113,antidomain(X_112))) = antidomain(forward_diamond(X_113,antidomain(X_112))),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(forward_diamond(X_113,antidomain(X_112))))]]) ).
cnf(refute_0_1688,plain,
( antidomain(forward_diamond(X_113,antidomain(X_112))) != forward_box(X_113,X_112)
| c(forward_diamond(X_113,antidomain(X_112))) != antidomain(forward_diamond(X_113,antidomain(X_112)))
| c(forward_diamond(X_113,antidomain(X_112))) = forward_box(X_113,X_112) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(forward_diamond(X_113,antidomain(X_112))))),bind(Y,$fot(antidomain(forward_diamond(X_113,antidomain(X_112))))),bind(Z,$fot(forward_box(X_113,X_112)))]]) ).
cnf(refute_0_1689,plain,
( antidomain(forward_diamond(X_113,antidomain(X_112))) != forward_box(X_113,X_112)
| c(forward_diamond(X_113,antidomain(X_112))) = forward_box(X_113,X_112) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X_113,antidomain(X_112))),antidomain(forward_diamond(X_113,antidomain(X_112)))) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
c(forward_diamond(X_113,antidomain(X_112))) = forward_box(X_113,X_112),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_113,antidomain(X_112))),forward_box(X_113,X_112)) )],[refute_0_1686,refute_0_1689]) ).
cnf(refute_0_1691,plain,
antidomain(c(forward_diamond(X_113,antidomain(X_112)))) = antidomain(c(forward_diamond(X_113,antidomain(X_112)))),
introduced(tautology,[refl,[$fot(antidomain(c(forward_diamond(X_113,antidomain(X_112)))))]]) ).
cnf(refute_0_1692,plain,
( antidomain(c(forward_diamond(X_113,antidomain(X_112)))) != antidomain(c(forward_diamond(X_113,antidomain(X_112))))
| c(forward_diamond(X_113,antidomain(X_112))) != forward_box(X_113,X_112)
| antidomain(c(forward_diamond(X_113,antidomain(X_112)))) = antidomain(forward_box(X_113,X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(forward_diamond(X_113,antidomain(X_112)))),antidomain(c(forward_diamond(X_113,antidomain(X_112))))) ),[1,0],$fot(forward_box(X_113,X_112))]]) ).
cnf(refute_0_1693,plain,
( c(forward_diamond(X_113,antidomain(X_112))) != forward_box(X_113,X_112)
| antidomain(c(forward_diamond(X_113,antidomain(X_112)))) = antidomain(forward_box(X_113,X_112)) ),
inference(resolve,[$cnf( $equal(antidomain(c(forward_diamond(X_113,antidomain(X_112)))),antidomain(c(forward_diamond(X_113,antidomain(X_112))))) )],[refute_0_1691,refute_0_1692]) ).
cnf(refute_0_1694,plain,
antidomain(c(forward_diamond(X_113,antidomain(X_112)))) = antidomain(forward_box(X_113,X_112)),
inference(resolve,[$cnf( $equal(c(forward_diamond(X_113,antidomain(X_112))),forward_box(X_113,X_112)) )],[refute_0_1690,refute_0_1693]) ).
cnf(refute_0_1695,plain,
c(c(forward_diamond(X_113,antidomain(X_112)))) = antidomain(c(forward_diamond(X_113,antidomain(X_112)))),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(c(forward_diamond(X_113,antidomain(X_112)))))]]) ).
cnf(refute_0_1696,plain,
( antidomain(c(forward_diamond(X_113,antidomain(X_112)))) != antidomain(forward_box(X_113,X_112))
| c(c(forward_diamond(X_113,antidomain(X_112)))) != antidomain(c(forward_diamond(X_113,antidomain(X_112))))
| c(c(forward_diamond(X_113,antidomain(X_112)))) = antidomain(forward_box(X_113,X_112)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(c(c(forward_diamond(X_113,antidomain(X_112)))))),bind(Y,$fot(antidomain(c(forward_diamond(X_113,antidomain(X_112)))))),bind(Z,$fot(antidomain(forward_box(X_113,X_112))))]]) ).
cnf(refute_0_1697,plain,
( antidomain(c(forward_diamond(X_113,antidomain(X_112)))) != antidomain(forward_box(X_113,X_112))
| c(c(forward_diamond(X_113,antidomain(X_112)))) = antidomain(forward_box(X_113,X_112)) ),
inference(resolve,[$cnf( $equal(c(c(forward_diamond(X_113,antidomain(X_112)))),antidomain(c(forward_diamond(X_113,antidomain(X_112))))) )],[refute_0_1695,refute_0_1696]) ).
cnf(refute_0_1698,plain,
c(c(forward_diamond(X_113,antidomain(X_112)))) = antidomain(forward_box(X_113,X_112)),
inference(resolve,[$cnf( $equal(antidomain(c(forward_diamond(X_113,antidomain(X_112)))),antidomain(forward_box(X_113,X_112))) )],[refute_0_1694,refute_0_1697]) ).
cnf(refute_0_1699,plain,
( c(c(forward_diamond(X_113,antidomain(X_112)))) != antidomain(forward_box(X_113,X_112))
| forward_box(one,multiplication(X_113,antidomain(X_112))) != c(c(forward_diamond(X_113,antidomain(X_112))))
| forward_box(one,multiplication(X_113,antidomain(X_112))) = antidomain(forward_box(X_113,X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_113,antidomain(X_112))),c(c(forward_diamond(X_113,antidomain(X_112))))) ),[1],$fot(antidomain(forward_box(X_113,X_112)))]]) ).
cnf(refute_0_1700,plain,
( forward_box(one,multiplication(X_113,antidomain(X_112))) != c(c(forward_diamond(X_113,antidomain(X_112))))
| forward_box(one,multiplication(X_113,antidomain(X_112))) = antidomain(forward_box(X_113,X_112)) ),
inference(resolve,[$cnf( $equal(c(c(forward_diamond(X_113,antidomain(X_112)))),antidomain(forward_box(X_113,X_112))) )],[refute_0_1698,refute_0_1699]) ).
cnf(refute_0_1701,plain,
( forward_box(one,multiplication(X_113,c(X_112))) != c(c(forward_diamond(X_113,antidomain(X_112))))
| forward_box(one,multiplication(X_113,antidomain(X_112))) = antidomain(forward_box(X_113,X_112)) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_113,antidomain(X_112))),c(c(forward_diamond(X_113,antidomain(X_112))))) )],[refute_0_1685,refute_0_1700]) ).
cnf(refute_0_1702,plain,
forward_box(one,multiplication(X_113,antidomain(X_112))) = antidomain(forward_box(X_113,X_112)),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_113,c(X_112))),c(c(forward_diamond(X_113,antidomain(X_112))))) )],[refute_0_1674,refute_0_1701]) ).
cnf(refute_0_1703,plain,
( forward_diamond(X_47,antidomain(X_4)) != domain(multiplication(X_47,antidomain(X_4)))
| domain(multiplication(X_47,antidomain(X_4))) = forward_diamond(X_47,antidomain(X_4)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_diamond(X_47,antidomain(X_4)))),bind(Y,$fot(domain(multiplication(X_47,antidomain(X_4)))))]]) ).
cnf(refute_0_1704,plain,
domain(multiplication(X_47,antidomain(X_4))) = forward_diamond(X_47,antidomain(X_4)),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(X_4)),domain(multiplication(X_47,antidomain(X_4)))) )],[refute_0_1571,refute_0_1703]) ).
cnf(refute_0_1705,plain,
domain(multiplication(X_113,antidomain(X_112))) = forward_diamond(X_113,antidomain(X_112)),
inference(subst,[],[refute_0_1704:[bind(X_4,$fot(X_112)),bind(X_47,$fot(X_113))]]) ).
cnf(refute_0_1706,plain,
forward_box(one,multiplication(X_113,antidomain(X_112))) = domain(multiplication(X_113,antidomain(X_112))),
inference(subst,[],[refute_0_1434:[bind(X_7,$fot(multiplication(X_113,antidomain(X_112))))]]) ).
cnf(refute_0_1707,plain,
( domain(multiplication(X_113,antidomain(X_112))) != forward_diamond(X_113,antidomain(X_112))
| forward_box(one,multiplication(X_113,antidomain(X_112))) != domain(multiplication(X_113,antidomain(X_112)))
| forward_box(one,multiplication(X_113,antidomain(X_112))) = forward_diamond(X_113,antidomain(X_112)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(forward_box(one,multiplication(X_113,antidomain(X_112))))),bind(Y,$fot(domain(multiplication(X_113,antidomain(X_112))))),bind(Z,$fot(forward_diamond(X_113,antidomain(X_112))))]]) ).
cnf(refute_0_1708,plain,
( domain(multiplication(X_113,antidomain(X_112))) != forward_diamond(X_113,antidomain(X_112))
| forward_box(one,multiplication(X_113,antidomain(X_112))) = forward_diamond(X_113,antidomain(X_112)) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_113,antidomain(X_112))),domain(multiplication(X_113,antidomain(X_112)))) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
forward_box(one,multiplication(X_113,antidomain(X_112))) = forward_diamond(X_113,antidomain(X_112)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_113,antidomain(X_112))),forward_diamond(X_113,antidomain(X_112))) )],[refute_0_1705,refute_0_1708]) ).
cnf(refute_0_1710,plain,
( forward_box(one,multiplication(X_113,antidomain(X_112))) != antidomain(forward_box(X_113,X_112))
| forward_box(one,multiplication(X_113,antidomain(X_112))) != forward_diamond(X_113,antidomain(X_112))
| forward_diamond(X_113,antidomain(X_112)) = antidomain(forward_box(X_113,X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,multiplication(X_113,antidomain(X_112))),antidomain(forward_box(X_113,X_112))) ),[0],$fot(forward_diamond(X_113,antidomain(X_112)))]]) ).
cnf(refute_0_1711,plain,
( forward_box(one,multiplication(X_113,antidomain(X_112))) != antidomain(forward_box(X_113,X_112))
| forward_diamond(X_113,antidomain(X_112)) = antidomain(forward_box(X_113,X_112)) ),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_113,antidomain(X_112))),forward_diamond(X_113,antidomain(X_112))) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
forward_diamond(X_113,antidomain(X_112)) = antidomain(forward_box(X_113,X_112)),
inference(resolve,[$cnf( $equal(forward_box(one,multiplication(X_113,antidomain(X_112))),antidomain(forward_box(X_113,X_112))) )],[refute_0_1702,refute_0_1711]) ).
cnf(refute_0_1713,plain,
forward_diamond(X_47,antidomain(X_4)) = antidomain(forward_box(X_47,X_4)),
inference(subst,[],[refute_0_1712:[bind(X_112,$fot(X_4)),bind(X_113,$fot(X_47))]]) ).
cnf(refute_0_1714,plain,
( forward_diamond(X_47,antidomain(X_4)) != antidomain(forward_box(X_47,X_4))
| forward_diamond(X_47,antidomain(X_4)) != domain(multiplication(X_47,antidomain(X_4)))
| antidomain(forward_box(X_47,X_4)) = domain(multiplication(X_47,antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,antidomain(X_4)),domain(multiplication(X_47,antidomain(X_4)))) ),[0],$fot(antidomain(forward_box(X_47,X_4)))]]) ).
cnf(refute_0_1715,plain,
( forward_diamond(X_47,antidomain(X_4)) != domain(multiplication(X_47,antidomain(X_4)))
| antidomain(forward_box(X_47,X_4)) = domain(multiplication(X_47,antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(X_4)),antidomain(forward_box(X_47,X_4))) )],[refute_0_1713,refute_0_1714]) ).
cnf(refute_0_1716,plain,
antidomain(forward_box(X_47,X_4)) = domain(multiplication(X_47,antidomain(X_4))),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,antidomain(X_4)),domain(multiplication(X_47,antidomain(X_4)))) )],[refute_0_1571,refute_0_1715]) ).
cnf(refute_0_1717,plain,
( antidomain(forward_box(X_47,X_4)) != domain(multiplication(X_47,antidomain(X_4)))
| domain(multiplication(X_47,antidomain(X_4))) = antidomain(forward_box(X_47,X_4)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(antidomain(forward_box(X_47,X_4)))),bind(Y,$fot(domain(multiplication(X_47,antidomain(X_4)))))]]) ).
cnf(refute_0_1718,plain,
domain(multiplication(X_47,antidomain(X_4))) = antidomain(forward_box(X_47,X_4)),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_47,X_4)),domain(multiplication(X_47,antidomain(X_4)))) )],[refute_0_1716,refute_0_1717]) ).
cnf(refute_0_1719,plain,
domain(multiplication(X_47,antidomain(c(X0)))) = antidomain(forward_box(X_47,c(X0))),
inference(subst,[],[refute_0_1718:[bind(X_4,$fot(c(X0)))]]) ).
cnf(refute_0_1720,plain,
( antidomain(forward_box(X_47,c(X0))) != domain(forward_diamond(X_47,X0))
| domain(multiplication(X_47,antidomain(c(X0)))) != antidomain(forward_box(X_47,c(X0)))
| domain(multiplication(X_47,antidomain(c(X0)))) = domain(forward_diamond(X_47,X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain(multiplication(X_47,antidomain(c(X0)))))),bind(Y,$fot(antidomain(forward_box(X_47,c(X0))))),bind(Z,$fot(domain(forward_diamond(X_47,X0))))]]) ).
cnf(refute_0_1721,plain,
( antidomain(forward_box(X_47,c(X0))) != domain(forward_diamond(X_47,X0))
| domain(multiplication(X_47,antidomain(c(X0)))) = domain(forward_diamond(X_47,X0)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_47,antidomain(c(X0)))),antidomain(forward_box(X_47,c(X0)))) )],[refute_0_1719,refute_0_1720]) ).
cnf(refute_0_1722,plain,
domain(multiplication(X_47,antidomain(c(X0)))) = domain(forward_diamond(X_47,X0)),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_47,c(X0))),domain(forward_diamond(X_47,X0))) )],[refute_0_1560,refute_0_1721]) ).
cnf(refute_0_1723,plain,
( domain(multiplication(X_47,antidomain(c(X0)))) != domain(forward_diamond(X_47,X0))
| forward_diamond(X_47,domain(X0)) != domain(multiplication(X_47,antidomain(c(X0))))
| forward_diamond(X_47,domain(X0)) = domain(forward_diamond(X_47,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_47,domain(X0)),domain(multiplication(X_47,antidomain(c(X0))))) ),[1],$fot(domain(forward_diamond(X_47,X0)))]]) ).
cnf(refute_0_1724,plain,
( forward_diamond(X_47,domain(X0)) != domain(multiplication(X_47,antidomain(c(X0))))
| forward_diamond(X_47,domain(X0)) = domain(forward_diamond(X_47,X0)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_47,antidomain(c(X0)))),domain(forward_diamond(X_47,X0))) )],[refute_0_1722,refute_0_1723]) ).
cnf(refute_0_1725,plain,
forward_diamond(X_47,domain(X0)) = domain(forward_diamond(X_47,X0)),
inference(resolve,[$cnf( $equal(forward_diamond(X_47,domain(X0)),domain(multiplication(X_47,antidomain(c(X0))))) )],[refute_0_1050,refute_0_1724]) ).
cnf(refute_0_1726,plain,
forward_diamond(X0,domain(X_735)) = domain(forward_diamond(X0,X_735)),
inference(subst,[],[refute_0_1725:[bind(X0,$fot(X_735)),bind(X_47,$fot(X0))]]) ).
cnf(refute_0_1727,plain,
( forward_diamond(X0,domain(X_735)) != domain(forward_diamond(X0,X_735))
| forward_diamond(X0,domain(X_735)) != domain(multiplication(X0,domain(X_735)))
| domain(forward_diamond(X0,X_735)) = domain(multiplication(X0,domain(X_735))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,domain(X_735)),domain(multiplication(X0,domain(X_735)))) ),[0],$fot(domain(forward_diamond(X0,X_735)))]]) ).
cnf(refute_0_1728,plain,
( forward_diamond(X0,domain(X_735)) != domain(multiplication(X0,domain(X_735)))
| domain(forward_diamond(X0,X_735)) = domain(multiplication(X0,domain(X_735))) ),
inference(resolve,[$cnf( $equal(forward_diamond(X0,domain(X_735)),domain(forward_diamond(X0,X_735))) )],[refute_0_1726,refute_0_1727]) ).
cnf(refute_0_1729,plain,
domain(multiplication(X0,domain(X_735))) = forward_diamond(X0,X_735),
inference(subst,[],[refute_0_1620:[bind(X1,$fot(X_735))]]) ).
cnf(refute_0_1730,plain,
( domain(forward_diamond(X0,X_735)) != domain(multiplication(X0,domain(X_735)))
| domain(multiplication(X0,domain(X_735))) != forward_diamond(X0,X_735)
| domain(forward_diamond(X0,X_735)) = forward_diamond(X0,X_735) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(forward_diamond(X0,X_735)),forward_diamond(X0,X_735)) ),[0],$fot(domain(multiplication(X0,domain(X_735))))]]) ).
cnf(refute_0_1731,plain,
( domain(forward_diamond(X0,X_735)) != domain(multiplication(X0,domain(X_735)))
| domain(forward_diamond(X0,X_735)) = forward_diamond(X0,X_735) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X_735))),forward_diamond(X0,X_735)) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
( forward_diamond(X0,domain(X_735)) != domain(multiplication(X0,domain(X_735)))
| domain(forward_diamond(X0,X_735)) = forward_diamond(X0,X_735) ),
inference(resolve,[$cnf( $equal(domain(forward_diamond(X0,X_735)),domain(multiplication(X0,domain(X_735)))) )],[refute_0_1728,refute_0_1731]) ).
cnf(refute_0_1733,plain,
domain(forward_diamond(X0,X_735)) = forward_diamond(X0,X_735),
inference(resolve,[$cnf( $equal(forward_diamond(X0,domain(X_735)),domain(multiplication(X0,domain(X_735)))) )],[refute_0_1046,refute_0_1732]) ).
cnf(refute_0_1734,plain,
domain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_1733:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_735,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1735,plain,
antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = domain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1736,plain,
( antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != domain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),bind(Y,$fot(domain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),bind(Z,$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1737,plain,
( domain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),domain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_1735,refute_0_1736]) ).
cnf(refute_0_1738,plain,
antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(domain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_1734,refute_0_1737]) ).
cnf(refute_0_1739,plain,
domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) = domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_1740,plain,
( antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) != domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2))
| domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) = domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)),domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2))) ),[1,0],$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1741,plain,
( antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) = domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)),domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2))) )],[refute_0_1739,refute_0_1740]) ).
cnf(refute_0_1742,plain,
domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) = domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_1738,refute_0_1741]) ).
cnf(refute_0_1743,plain,
( domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) != domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2))
| domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) != zero
| domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)),zero) ),[0],$fot(domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_1744,plain,
( domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)) != zero
| domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)) = zero ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)),domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2))) )],[refute_0_1742,refute_0_1743]) ).
cnf(refute_0_1745,plain,
domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)) = zero,
inference(resolve,[$cnf( $equal(domain_difference(antidomain(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),antidomain(skolemFOFtoCNF_X2)),zero) )],[refute_0_1012,refute_0_1744]) ).
cnf(refute_0_1746,plain,
multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != zero,
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_1747,plain,
domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) = multiplication(domain(multiplication(X_613,antidomain(c(X_612)))),domain(X0)),
inference(subst,[],[refute_0_167:[bind(X_87,$fot(multiplication(X_613,antidomain(c(X_612)))))]]) ).
cnf(refute_0_1748,plain,
forward_diamond(X_613,domain(X_612)) = domain(multiplication(X_613,antidomain(c(X_612)))),
inference(subst,[],[refute_0_1050:[bind(X0,$fot(X_612)),bind(X_47,$fot(X_613))]]) ).
cnf(refute_0_1749,plain,
( forward_diamond(X_613,domain(X_612)) != domain(multiplication(X_613,antidomain(c(X_612))))
| domain(multiplication(X_613,antidomain(c(X_612)))) = forward_diamond(X_613,domain(X_612)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(forward_diamond(X_613,domain(X_612)))),bind(Y,$fot(domain(multiplication(X_613,antidomain(c(X_612))))))]]) ).
cnf(refute_0_1750,plain,
domain(multiplication(X_613,antidomain(c(X_612)))) = forward_diamond(X_613,domain(X_612)),
inference(resolve,[$cnf( $equal(forward_diamond(X_613,domain(X_612)),domain(multiplication(X_613,antidomain(c(X_612))))) )],[refute_0_1748,refute_0_1749]) ).
cnf(refute_0_1751,plain,
( domain(multiplication(X_613,antidomain(c(X_612)))) != forward_diamond(X_613,domain(X_612))
| domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) != multiplication(domain(multiplication(X_613,antidomain(c(X_612)))),domain(X0))
| domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) = multiplication(forward_diamond(X_613,domain(X_612)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)),multiplication(domain(multiplication(X_613,antidomain(c(X_612)))),domain(X0))) ),[1,0],$fot(forward_diamond(X_613,domain(X_612)))]]) ).
cnf(refute_0_1752,plain,
( domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) != multiplication(domain(multiplication(X_613,antidomain(c(X_612)))),domain(X0))
| domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) = multiplication(forward_diamond(X_613,domain(X_612)),domain(X0)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_613,antidomain(c(X_612)))),forward_diamond(X_613,domain(X_612))) )],[refute_0_1750,refute_0_1751]) ).
cnf(refute_0_1753,plain,
domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) = multiplication(forward_diamond(X_613,domain(X_612)),domain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)),multiplication(domain(multiplication(X_613,antidomain(c(X_612)))),domain(X0))) )],[refute_0_1747,refute_0_1752]) ).
cnf(refute_0_1754,plain,
domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)),
inference(subst,[],[refute_0_1395:[bind(X0,$fot(forward_diamond(X_613,X_612))),bind(X_95,$fot(antidomain(X0)))]]) ).
cnf(refute_0_1755,plain,
antidomain(antidomain(forward_diamond(X_613,X_612))) = domain(forward_diamond(X_613,X_612)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(forward_diamond(X_613,X_612)))]]) ).
cnf(refute_0_1756,plain,
forward_box(X_613,antidomain(X_612)) = antidomain(forward_diamond(X_613,X_612)),
inference(subst,[],[refute_0_1545:[bind(X_47,$fot(X_613)),bind(X_515,$fot(X_612))]]) ).
cnf(refute_0_1757,plain,
c(X_612) = antidomain(X_612),
inference(subst,[],[refute_0_347:[bind(X_724,$fot(X_612))]]) ).
cnf(refute_0_1758,plain,
forward_box(X_613,c(X_612)) = forward_box(X_613,c(X_612)),
introduced(tautology,[refl,[$fot(forward_box(X_613,c(X_612)))]]) ).
cnf(refute_0_1759,plain,
( c(X_612) != antidomain(X_612)
| forward_box(X_613,c(X_612)) != forward_box(X_613,c(X_612))
| forward_box(X_613,c(X_612)) = forward_box(X_613,antidomain(X_612)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X_613,c(X_612)),forward_box(X_613,c(X_612))) ),[1,1],$fot(antidomain(X_612))]]) ).
cnf(refute_0_1760,plain,
( c(X_612) != antidomain(X_612)
| forward_box(X_613,c(X_612)) = forward_box(X_613,antidomain(X_612)) ),
inference(resolve,[$cnf( $equal(forward_box(X_613,c(X_612)),forward_box(X_613,c(X_612))) )],[refute_0_1758,refute_0_1759]) ).
cnf(refute_0_1761,plain,
forward_box(X_613,c(X_612)) = forward_box(X_613,antidomain(X_612)),
inference(resolve,[$cnf( $equal(c(X_612),antidomain(X_612)) )],[refute_0_1757,refute_0_1760]) ).
cnf(refute_0_1762,plain,
( forward_box(X_613,antidomain(X_612)) != antidomain(forward_diamond(X_613,X_612))
| forward_box(X_613,c(X_612)) != forward_box(X_613,antidomain(X_612))
| forward_box(X_613,c(X_612)) = antidomain(forward_diamond(X_613,X_612)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(forward_box(X_613,c(X_612)))),bind(Y,$fot(forward_box(X_613,antidomain(X_612)))),bind(Z,$fot(antidomain(forward_diamond(X_613,X_612))))]]) ).
cnf(refute_0_1763,plain,
( forward_box(X_613,antidomain(X_612)) != antidomain(forward_diamond(X_613,X_612))
| forward_box(X_613,c(X_612)) = antidomain(forward_diamond(X_613,X_612)) ),
inference(resolve,[$cnf( $equal(forward_box(X_613,c(X_612)),forward_box(X_613,antidomain(X_612))) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
forward_box(X_613,c(X_612)) = antidomain(forward_diamond(X_613,X_612)),
inference(resolve,[$cnf( $equal(forward_box(X_613,antidomain(X_612)),antidomain(forward_diamond(X_613,X_612))) )],[refute_0_1756,refute_0_1763]) ).
cnf(refute_0_1765,plain,
antidomain(forward_box(X_613,c(X_612))) = antidomain(forward_box(X_613,c(X_612))),
introduced(tautology,[refl,[$fot(antidomain(forward_box(X_613,c(X_612))))]]) ).
cnf(refute_0_1766,plain,
( antidomain(forward_box(X_613,c(X_612))) != antidomain(forward_box(X_613,c(X_612)))
| forward_box(X_613,c(X_612)) != antidomain(forward_diamond(X_613,X_612))
| antidomain(forward_box(X_613,c(X_612))) = antidomain(antidomain(forward_diamond(X_613,X_612))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(forward_box(X_613,c(X_612))),antidomain(forward_box(X_613,c(X_612)))) ),[1,0],$fot(antidomain(forward_diamond(X_613,X_612)))]]) ).
cnf(refute_0_1767,plain,
( forward_box(X_613,c(X_612)) != antidomain(forward_diamond(X_613,X_612))
| antidomain(forward_box(X_613,c(X_612))) = antidomain(antidomain(forward_diamond(X_613,X_612))) ),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_613,c(X_612))),antidomain(forward_box(X_613,c(X_612)))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
antidomain(forward_box(X_613,c(X_612))) = antidomain(antidomain(forward_diamond(X_613,X_612))),
inference(resolve,[$cnf( $equal(forward_box(X_613,c(X_612)),antidomain(forward_diamond(X_613,X_612))) )],[refute_0_1764,refute_0_1767]) ).
cnf(refute_0_1769,plain,
( antidomain(antidomain(forward_diamond(X_613,X_612))) != domain(forward_diamond(X_613,X_612))
| antidomain(forward_box(X_613,c(X_612))) != antidomain(antidomain(forward_diamond(X_613,X_612)))
| antidomain(forward_box(X_613,c(X_612))) = domain(forward_diamond(X_613,X_612)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(antidomain(forward_box(X_613,c(X_612))))),bind(Y,$fot(antidomain(antidomain(forward_diamond(X_613,X_612))))),bind(Z,$fot(domain(forward_diamond(X_613,X_612))))]]) ).
cnf(refute_0_1770,plain,
( antidomain(antidomain(forward_diamond(X_613,X_612))) != domain(forward_diamond(X_613,X_612))
| antidomain(forward_box(X_613,c(X_612))) = domain(forward_diamond(X_613,X_612)) ),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_613,c(X_612))),antidomain(antidomain(forward_diamond(X_613,X_612)))) )],[refute_0_1768,refute_0_1769]) ).
cnf(refute_0_1771,plain,
antidomain(forward_box(X_613,c(X_612))) = domain(forward_diamond(X_613,X_612)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(forward_diamond(X_613,X_612))),domain(forward_diamond(X_613,X_612))) )],[refute_0_1755,refute_0_1770]) ).
cnf(refute_0_1772,plain,
domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) = domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)),
introduced(tautology,[refl,[$fot(domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)))]]) ).
cnf(refute_0_1773,plain,
( antidomain(forward_box(X_613,c(X_612))) != domain(forward_diamond(X_613,X_612))
| domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) != domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0))
| domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) = domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)),domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0))) ),[1,0],$fot(domain(forward_diamond(X_613,X_612)))]]) ).
cnf(refute_0_1774,plain,
( antidomain(forward_box(X_613,c(X_612))) != domain(forward_diamond(X_613,X_612))
| domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) = domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)),domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0))) )],[refute_0_1772,refute_0_1773]) ).
cnf(refute_0_1775,plain,
domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) = domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0)),
inference(resolve,[$cnf( $equal(antidomain(forward_box(X_613,c(X_612))),domain(forward_diamond(X_613,X_612))) )],[refute_0_1771,refute_0_1774]) ).
cnf(refute_0_1776,plain,
( domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) != domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0))
| domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0)) != domain_difference(forward_diamond(X_613,X_612),antidomain(X0))
| domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)))),bind(Y,$fot(domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0)))),bind(Z,$fot(domain_difference(forward_diamond(X_613,X_612),antidomain(X0))))]]) ).
cnf(refute_0_1777,plain,
( domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0)) != domain_difference(forward_diamond(X_613,X_612),antidomain(X0))
| domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)),domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0))) )],[refute_0_1775,refute_0_1776]) ).
cnf(refute_0_1778,plain,
domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(domain(forward_diamond(X_613,X_612)),antidomain(X0)),domain_difference(forward_diamond(X_613,X_612),antidomain(X0))) )],[refute_0_1754,refute_0_1777]) ).
cnf(refute_0_1779,plain,
domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) = multiplication(domain(multiplication(X_113,c(X_112))),domain(X0)),
inference(subst,[],[refute_0_167:[bind(X_87,$fot(multiplication(X_113,c(X_112))))]]) ).
cnf(refute_0_1780,plain,
( domain(multiplication(X_113,c(X_112))) != forward_diamond(X_113,antidomain(X_112))
| domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) != multiplication(domain(multiplication(X_113,c(X_112))),domain(X0))
| domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) = multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)),multiplication(domain(multiplication(X_113,c(X_112))),domain(X0))) ),[1,0],$fot(forward_diamond(X_113,antidomain(X_112)))]]) ).
cnf(refute_0_1781,plain,
( domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) != multiplication(domain(multiplication(X_113,c(X_112))),domain(X0))
| domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) = multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_113,c(X_112))),forward_diamond(X_113,antidomain(X_112))) )],[refute_0_1608,refute_0_1780]) ).
cnf(refute_0_1782,plain,
domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) = multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)),multiplication(domain(multiplication(X_113,c(X_112))),domain(X0))) )],[refute_0_1779,refute_0_1781]) ).
cnf(refute_0_1783,plain,
domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) = domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)),
introduced(tautology,[refl,[$fot(domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)))]]) ).
cnf(refute_0_1784,plain,
( domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) != domain_difference(multiplication(X_113,c(X_112)),antidomain(X0))
| multiplication(X_113,c(X_112)) != multiplication(X_113,antidomain(X_112))
| domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) = domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)),domain_difference(multiplication(X_113,c(X_112)),antidomain(X0))) ),[1,0],$fot(multiplication(X_113,antidomain(X_112)))]]) ).
cnf(refute_0_1785,plain,
( multiplication(X_113,c(X_112)) != multiplication(X_113,antidomain(X_112))
| domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) = domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)),domain_difference(multiplication(X_113,c(X_112)),antidomain(X0))) )],[refute_0_1783,refute_0_1784]) ).
cnf(refute_0_1786,plain,
domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) = domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(X_113,c(X_112)),multiplication(X_113,antidomain(X_112))) )],[refute_0_1679,refute_0_1785]) ).
cnf(refute_0_1787,plain,
( domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) != domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0))
| domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) != multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))
| domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) = multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)),multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))) ),[0],$fot(domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)))]]) ).
cnf(refute_0_1788,plain,
( domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)) != multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))
| domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) = multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)),domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0))) )],[refute_0_1786,refute_0_1787]) ).
cnf(refute_0_1789,plain,
domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) = multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_113,c(X_112)),antidomain(X0)),multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))) )],[refute_0_1782,refute_0_1788]) ).
cnf(refute_0_1790,plain,
multiplication(antidomain(forward_box(X_113,X_112)),domain(X0)) = domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0)),
inference(subst,[],[refute_0_357:[bind(X_4,$fot(forward_box(X_113,X_112))),bind(X_93,$fot(X0))]]) ).
cnf(refute_0_1791,plain,
multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) = multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)),
introduced(tautology,[refl,[$fot(multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)))]]) ).
cnf(refute_0_1792,plain,
( forward_diamond(X_113,antidomain(X_112)) != antidomain(forward_box(X_113,X_112))
| multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) != multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))
| multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) = multiplication(antidomain(forward_box(X_113,X_112)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)),multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))) ),[1,0],$fot(antidomain(forward_box(X_113,X_112)))]]) ).
cnf(refute_0_1793,plain,
( forward_diamond(X_113,antidomain(X_112)) != antidomain(forward_box(X_113,X_112))
| multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) = multiplication(antidomain(forward_box(X_113,X_112)),domain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)),multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) = multiplication(antidomain(forward_box(X_113,X_112)),domain(X0)),
inference(resolve,[$cnf( $equal(forward_diamond(X_113,antidomain(X_112)),antidomain(forward_box(X_113,X_112))) )],[refute_0_1712,refute_0_1793]) ).
cnf(refute_0_1795,plain,
( multiplication(antidomain(forward_box(X_113,X_112)),domain(X0)) != domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0))
| multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) != multiplication(antidomain(forward_box(X_113,X_112)),domain(X0))
| multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) = domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)))),bind(Y,$fot(multiplication(antidomain(forward_box(X_113,X_112)),domain(X0)))),bind(Z,$fot(domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0))))]]) ).
cnf(refute_0_1796,plain,
( multiplication(antidomain(forward_box(X_113,X_112)),domain(X0)) != domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0))
| multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) = domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)),multiplication(antidomain(forward_box(X_113,X_112)),domain(X0))) )],[refute_0_1794,refute_0_1795]) ).
cnf(refute_0_1797,plain,
multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) = domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(forward_box(X_113,X_112)),domain(X0)),domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0))) )],[refute_0_1790,refute_0_1796]) ).
cnf(refute_0_1798,plain,
( domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) != multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))
| multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)) != domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0))
| domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) = domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)),domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0))) ),[0],$fot(multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)))]]) ).
cnf(refute_0_1799,plain,
( domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) != multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))
| domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) = domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0)),domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0))) )],[refute_0_1797,refute_0_1798]) ).
cnf(refute_0_1800,plain,
domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)) = domain_difference(antidomain(forward_box(X_113,X_112)),antidomain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_113,antidomain(X_112)),antidomain(X0)),multiplication(forward_diamond(X_113,antidomain(X_112)),domain(X0))) )],[refute_0_1789,refute_0_1799]) ).
cnf(refute_0_1801,plain,
domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) = domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)),
inference(subst,[],[refute_0_1800:[bind(X_112,$fot(c(X_612))),bind(X_113,$fot(X_613))]]) ).
cnf(refute_0_1802,plain,
( domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) != domain_difference(forward_diamond(X_613,X_612),antidomain(X0))
| domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) != domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0))
| domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)))),bind(Y,$fot(domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)))),bind(Z,$fot(domain_difference(forward_diamond(X_613,X_612),antidomain(X0))))]]) ).
cnf(refute_0_1803,plain,
( domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)) != domain_difference(forward_diamond(X_613,X_612),antidomain(X0))
| domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)),domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0))) )],[refute_0_1801,refute_0_1802]) ).
cnf(refute_0_1804,plain,
domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(forward_box(X_613,c(X_612))),antidomain(X0)),domain_difference(forward_diamond(X_613,X_612),antidomain(X0))) )],[refute_0_1778,refute_0_1803]) ).
cnf(refute_0_1805,plain,
( domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) != domain_difference(forward_diamond(X_613,X_612),antidomain(X0))
| domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) != multiplication(forward_diamond(X_613,domain(X_612)),domain(X0))
| domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) = multiplication(forward_diamond(X_613,domain(X_612)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)),multiplication(forward_diamond(X_613,domain(X_612)),domain(X0))) ),[0],$fot(domain_difference(forward_diamond(X_613,X_612),antidomain(X0)))]]) ).
cnf(refute_0_1806,plain,
( domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)) != multiplication(forward_diamond(X_613,domain(X_612)),domain(X0))
| domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) = multiplication(forward_diamond(X_613,domain(X_612)),domain(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)),domain_difference(forward_diamond(X_613,X_612),antidomain(X0))) )],[refute_0_1804,refute_0_1805]) ).
cnf(refute_0_1807,plain,
domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) = multiplication(forward_diamond(X_613,domain(X_612)),domain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(multiplication(X_613,antidomain(c(X_612))),antidomain(X0)),multiplication(forward_diamond(X_613,domain(X_612)),domain(X0))) )],[refute_0_1753,refute_0_1806]) ).
cnf(refute_0_1808,plain,
( domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) != multiplication(forward_diamond(X_613,domain(X_612)),domain(X0))
| multiplication(forward_diamond(X_613,domain(X_612)),domain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(domain_difference(forward_diamond(X_613,X_612),antidomain(X0)))),bind(Y,$fot(multiplication(forward_diamond(X_613,domain(X_612)),domain(X0))))]]) ).
cnf(refute_0_1809,plain,
multiplication(forward_diamond(X_613,domain(X_612)),domain(X0)) = domain_difference(forward_diamond(X_613,X_612),antidomain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(forward_diamond(X_613,X_612),antidomain(X0)),multiplication(forward_diamond(X_613,domain(X_612)),domain(X0))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_1809:[bind(X0,$fot(skolemFOFtoCNF_X2)),bind(X_612,$fot(skolemFOFtoCNF_X1)),bind(X_613,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1811,plain,
( domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)) != zero
| multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2))
| multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2))) ),[1],$fot(zero)]]) ).
cnf(refute_0_1812,plain,
( domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)) != zero
| multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2))) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)) != zero,
inference(resolve,[$cnf( $equal(multiplication(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),zero) )],[refute_0_1812,refute_0_1746]) ).
cnf(refute_0_1814,plain,
$false,
inference(resolve,[$cnf( $equal(domain_difference(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(skolemFOFtoCNF_X2)),zero) )],[refute_0_1745,refute_0_1813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE102+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 15:42:56 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 204.30/204.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 204.30/204.49
% 204.30/204.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 204.41/204.64
%------------------------------------------------------------------------------