TSTP Solution File: KLE132+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE132+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 02:15:27 EDT 2022
% Result : Theorem 3.20s 3.44s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 162
% Syntax : Number of formulae : 733 ( 403 unt; 0 def)
% Number of atoms : 1211 (1210 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 951 ( 473 ~; 466 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 739 ( 39 sgn 103 !; 4 ?)
% 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(domain1,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero ).
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(goals,conjecture,
! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ) ).
fof(subgoal_0,plain,
! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] :
( ? [X2] :
( domain(X2) != zero
& addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
& ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [X2] :
( domain(X2) != zero
& addition(domain(X2),forward_diamond(skolemFOFtoCNF_X0,domain(X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(X2)) )
& ! [X1] : addition(forward_diamond(skolemFOFtoCNF_X0,domain(X1)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X2] :
( domain(X2) != zero
& addition(domain(X2),forward_diamond(skolemFOFtoCNF_X0,domain(X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(X2)) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( domain(skolemFOFtoCNF_X2) != zero
& addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_6,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[forward_diamond]) ).
fof(normalize_0_8,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_10,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[complement]) ).
fof(normalize_0_12,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_14,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_16,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_18,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_20,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X1] : addition(forward_diamond(skolemFOFtoCNF_X0,domain(X1)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_22,plain,
! [X1] : addition(forward_diamond(skolemFOFtoCNF_X0,domain(X1)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_24,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_26,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_28,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[domain_difference]) ).
fof(normalize_0_30,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A] : multiplication(A,zero) = zero,
inference(canonicalize,[],[right_annihilation]) ).
fof(normalize_0_32,plain,
! [A] : multiplication(A,zero) = zero,
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_34,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_36,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_38,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[codomain1]) ).
fof(normalize_0_40,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[codomain3]) ).
fof(normalize_0_42,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[codomain4]) ).
fof(normalize_0_44,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
domain(skolemFOFtoCNF_X2) != zero,
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
addition(domain(skolemFOFtoCNF_X2),zero) = domain(skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_3,plain,
forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
forward_diamond(X_38,domain(X_8)) = domain(multiplication(X_38,domain(domain(X_8)))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_38)),bind(X1,$fot(domain(X_8)))]]) ).
cnf(refute_0_5,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
domain(domain(X_8)) = antidomain(antidomain(domain(X_8))),
inference(subst,[],[refute_0_5:[bind(X0,$fot(domain(X_8)))]]) ).
cnf(refute_0_7,plain,
c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_8,plain,
c(X_8) = antidomain(domain(X_8)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_9,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_10,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_11,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( c(X_8) != antidomain(domain(X_8))
| antidomain(domain(X_8)) = c(X_8) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(X_8))),bind(Y,$fot(antidomain(domain(X_8))))]]) ).
cnf(refute_0_13,plain,
antidomain(domain(X_8)) = c(X_8),
inference(resolve,[$cnf( $equal(c(X_8),antidomain(domain(X_8))) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
( antidomain(domain(X_8)) != c(X_8)
| domain(domain(X_8)) != antidomain(antidomain(domain(X_8)))
| domain(domain(X_8)) = antidomain(c(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_8)),antidomain(antidomain(domain(X_8)))) ),[1,0],$fot(c(X_8))]]) ).
cnf(refute_0_15,plain,
( domain(domain(X_8)) != antidomain(antidomain(domain(X_8)))
| domain(domain(X_8)) = antidomain(c(X_8)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_8)),c(X_8)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
domain(domain(X_8)) = antidomain(c(X_8)),
inference(resolve,[$cnf( $equal(domain(domain(X_8)),antidomain(antidomain(domain(X_8)))) )],[refute_0_6,refute_0_15]) ).
cnf(refute_0_17,plain,
( domain(domain(X_8)) != antidomain(c(X_8))
| forward_diamond(X_38,domain(X_8)) != domain(multiplication(X_38,domain(domain(X_8))))
| forward_diamond(X_38,domain(X_8)) = domain(multiplication(X_38,antidomain(c(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_38,domain(X_8)),domain(multiplication(X_38,domain(domain(X_8))))) ),[1,0,1],$fot(antidomain(c(X_8)))]]) ).
cnf(refute_0_18,plain,
( forward_diamond(X_38,domain(X_8)) != domain(multiplication(X_38,domain(domain(X_8))))
| forward_diamond(X_38,domain(X_8)) = domain(multiplication(X_38,antidomain(c(X_8)))) ),
inference(resolve,[$cnf( $equal(domain(domain(X_8)),antidomain(c(X_8))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
forward_diamond(X_38,domain(X_8)) = domain(multiplication(X_38,antidomain(c(X_8)))),
inference(resolve,[$cnf( $equal(forward_diamond(X_38,domain(X_8)),domain(multiplication(X_38,domain(domain(X_8))))) )],[refute_0_4,refute_0_18]) ).
cnf(refute_0_20,plain,
forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) = domain(multiplication(X_38,antidomain(c(skolemFOFtoCNF_X2)))),
inference(subst,[],[refute_0_19:[bind(X_8,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_21,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_22,plain,
addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),C)) = addition(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),C),
inference(subst,[],[refute_0_21:[bind(A,$fot(c(skolemFOFtoCNF_X2))),bind(B,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_23,plain,
addition(c(X_5),addition(domain(X_5),X_146)) = addition(addition(c(X_5),domain(X_5)),X_146),
inference(subst,[],[refute_0_21:[bind(A,$fot(c(X_5))),bind(B,$fot(domain(X_5))),bind(C,$fot(X_146))]]) ).
cnf(refute_0_24,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_25,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_26,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_27,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_27:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_29,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_30,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_24,refute_0_30]) ).
cnf(refute_0_32,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_33,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_5,refute_0_32]) ).
cnf(refute_0_34,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_35,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_36,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_39,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_31,refute_0_39]) ).
cnf(refute_0_41,plain,
addition(antidomain(antidomain(X_5)),domain(antidomain(X_5))) = one,
inference(subst,[],[refute_0_40:[bind(X0,$fot(antidomain(X_5)))]]) ).
cnf(refute_0_42,plain,
domain(antidomain(X_5)) = antidomain(antidomain(antidomain(X_5))),
inference(subst,[],[refute_0_5:[bind(X0,$fot(antidomain(X_5)))]]) ).
cnf(refute_0_43,plain,
domain(X_5) = antidomain(antidomain(X_5)),
inference(subst,[],[refute_0_5:[bind(X0,$fot(X_5))]]) ).
cnf(refute_0_44,plain,
( domain(X_5) != antidomain(antidomain(X_5))
| antidomain(antidomain(X_5)) = domain(X_5) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain(X_5))),bind(Y,$fot(antidomain(antidomain(X_5))))]]) ).
cnf(refute_0_45,plain,
antidomain(antidomain(X_5)) = domain(X_5),
inference(resolve,[$cnf( $equal(domain(X_5),antidomain(antidomain(X_5))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( antidomain(antidomain(X_5)) != domain(X_5)
| domain(antidomain(X_5)) != antidomain(antidomain(antidomain(X_5)))
| domain(antidomain(X_5)) = antidomain(domain(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_5)),antidomain(antidomain(antidomain(X_5)))) ),[1,0],$fot(domain(X_5))]]) ).
cnf(refute_0_47,plain,
( domain(antidomain(X_5)) != antidomain(antidomain(antidomain(X_5)))
| domain(antidomain(X_5)) = antidomain(domain(X_5)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_5)),domain(X_5)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
domain(antidomain(X_5)) = antidomain(domain(X_5)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_5)),antidomain(antidomain(antidomain(X_5)))) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = c(X0) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_50,plain,
antidomain(domain(X0)) = c(X0),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_7,refute_0_49]) ).
cnf(refute_0_51,plain,
antidomain(domain(X_5)) = c(X_5),
inference(subst,[],[refute_0_50:[bind(X0,$fot(X_5))]]) ).
cnf(refute_0_52,plain,
( antidomain(domain(X_5)) != c(X_5)
| domain(antidomain(X_5)) != antidomain(domain(X_5))
| domain(antidomain(X_5)) = c(X_5) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_5)),antidomain(domain(X_5))) ),[1],$fot(c(X_5))]]) ).
cnf(refute_0_53,plain,
( domain(antidomain(X_5)) != antidomain(domain(X_5))
| domain(antidomain(X_5)) = c(X_5) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_5)),c(X_5)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
domain(antidomain(X_5)) = c(X_5),
inference(resolve,[$cnf( $equal(domain(antidomain(X_5)),antidomain(domain(X_5))) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
( addition(antidomain(antidomain(X_5)),domain(antidomain(X_5))) != one
| domain(antidomain(X_5)) != c(X_5)
| addition(antidomain(antidomain(X_5)),c(X_5)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_5)),domain(antidomain(X_5))),one) ),[0,1],$fot(c(X_5))]]) ).
cnf(refute_0_56,plain,
( addition(antidomain(antidomain(X_5)),domain(antidomain(X_5))) != one
| addition(antidomain(antidomain(X_5)),c(X_5)) = one ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_5)),c(X_5)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
addition(antidomain(antidomain(X_5)),c(X_5)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_5)),domain(antidomain(X_5))),one) )],[refute_0_41,refute_0_56]) ).
cnf(refute_0_58,plain,
addition(c(X_5),antidomain(antidomain(X_5))) = addition(c(X_5),antidomain(antidomain(X_5))),
introduced(tautology,[refl,[$fot(addition(c(X_5),antidomain(antidomain(X_5))))]]) ).
cnf(refute_0_59,plain,
( addition(c(X_5),antidomain(antidomain(X_5))) != addition(c(X_5),antidomain(antidomain(X_5)))
| antidomain(antidomain(X_5)) != domain(X_5)
| addition(c(X_5),antidomain(antidomain(X_5))) = addition(c(X_5),domain(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_5),antidomain(antidomain(X_5))),addition(c(X_5),antidomain(antidomain(X_5)))) ),[1,1],$fot(domain(X_5))]]) ).
cnf(refute_0_60,plain,
( antidomain(antidomain(X_5)) != domain(X_5)
| addition(c(X_5),antidomain(antidomain(X_5))) = addition(c(X_5),domain(X_5)) ),
inference(resolve,[$cnf( $equal(addition(c(X_5),antidomain(antidomain(X_5))),addition(c(X_5),antidomain(antidomain(X_5)))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(c(X_5),antidomain(antidomain(X_5))) = addition(c(X_5),domain(X_5)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_5)),domain(X_5)) )],[refute_0_45,refute_0_60]) ).
cnf(refute_0_62,plain,
addition(antidomain(antidomain(X_5)),c(X_5)) = addition(c(X_5),antidomain(antidomain(X_5))),
inference(subst,[],[refute_0_27:[bind(A,$fot(c(X_5))),bind(B,$fot(antidomain(antidomain(X_5))))]]) ).
cnf(refute_0_63,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_64,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_11,refute_0_63]) ).
cnf(refute_0_65,plain,
( addition(antidomain(antidomain(X_5)),c(X_5)) != addition(c(X_5),antidomain(antidomain(X_5)))
| addition(c(X_5),antidomain(antidomain(X_5))) != addition(c(X_5),domain(X_5))
| addition(antidomain(antidomain(X_5)),c(X_5)) = addition(c(X_5),domain(X_5)) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(addition(antidomain(antidomain(X_5)),c(X_5)))),bind(Y,$fot(addition(c(X_5),antidomain(antidomain(X_5))))),bind(Z,$fot(addition(c(X_5),domain(X_5))))]]) ).
cnf(refute_0_66,plain,
( addition(c(X_5),antidomain(antidomain(X_5))) != addition(c(X_5),domain(X_5))
| addition(antidomain(antidomain(X_5)),c(X_5)) = addition(c(X_5),domain(X_5)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_5)),c(X_5)),addition(c(X_5),antidomain(antidomain(X_5)))) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
addition(antidomain(antidomain(X_5)),c(X_5)) = addition(c(X_5),domain(X_5)),
inference(resolve,[$cnf( $equal(addition(c(X_5),antidomain(antidomain(X_5))),addition(c(X_5),domain(X_5))) )],[refute_0_61,refute_0_66]) ).
cnf(refute_0_68,plain,
( addition(antidomain(antidomain(X_5)),c(X_5)) != addition(c(X_5),domain(X_5))
| addition(antidomain(antidomain(X_5)),c(X_5)) != one
| addition(c(X_5),domain(X_5)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_5)),c(X_5)),one) ),[0],$fot(addition(c(X_5),domain(X_5)))]]) ).
cnf(refute_0_69,plain,
( addition(antidomain(antidomain(X_5)),c(X_5)) != one
| addition(c(X_5),domain(X_5)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_5)),c(X_5)),addition(c(X_5),domain(X_5))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
addition(c(X_5),domain(X_5)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_5)),c(X_5)),one) )],[refute_0_57,refute_0_69]) ).
cnf(refute_0_71,plain,
( addition(c(X_5),addition(domain(X_5),X_146)) != addition(addition(c(X_5),domain(X_5)),X_146)
| addition(c(X_5),domain(X_5)) != one
| addition(c(X_5),addition(domain(X_5),X_146)) = addition(one,X_146) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_5),addition(domain(X_5),X_146)),addition(addition(c(X_5),domain(X_5)),X_146)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_72,plain,
( addition(c(X_5),addition(domain(X_5),X_146)) != addition(addition(c(X_5),domain(X_5)),X_146)
| addition(c(X_5),addition(domain(X_5),X_146)) = addition(one,X_146) ),
inference(resolve,[$cnf( $equal(addition(c(X_5),domain(X_5)),one) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
addition(c(X_5),addition(domain(X_5),X_146)) = addition(one,X_146),
inference(resolve,[$cnf( $equal(addition(c(X_5),addition(domain(X_5),X_146)),addition(addition(c(X_5),domain(X_5)),X_146)) )],[refute_0_23,refute_0_72]) ).
cnf(refute_0_74,plain,
addition(c(skolemFOFtoCNF_X2),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_73:[bind(X_146,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),bind(X_5,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_75,plain,
( addition(c(skolemFOFtoCNF_X2),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))
| addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),[0,1],$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_76,plain,
( addition(c(skolemFOFtoCNF_X2),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) )],[refute_0_0,refute_0_75]) ).
cnf(refute_0_77,plain,
addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
addition(c(X_150),addition(domain(X_150),domain(X_150))) = addition(one,domain(X_150)),
inference(subst,[],[refute_0_73:[bind(X_146,$fot(domain(X_150))),bind(X_5,$fot(X_150))]]) ).
cnf(refute_0_79,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_80,plain,
addition(domain(X_150),domain(X_150)) = domain(X_150),
inference(subst,[],[refute_0_79:[bind(A,$fot(domain(X_150)))]]) ).
cnf(refute_0_81,plain,
( addition(c(X_150),addition(domain(X_150),domain(X_150))) != addition(one,domain(X_150))
| addition(domain(X_150),domain(X_150)) != domain(X_150)
| addition(c(X_150),domain(X_150)) = addition(one,domain(X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_150),addition(domain(X_150),domain(X_150))),addition(one,domain(X_150))) ),[0,1],$fot(domain(X_150))]]) ).
cnf(refute_0_82,plain,
( addition(c(X_150),addition(domain(X_150),domain(X_150))) != addition(one,domain(X_150))
| addition(c(X_150),domain(X_150)) = addition(one,domain(X_150)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_150),domain(X_150)),domain(X_150)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
addition(c(X_150),domain(X_150)) = addition(one,domain(X_150)),
inference(resolve,[$cnf( $equal(addition(c(X_150),addition(domain(X_150),domain(X_150))),addition(one,domain(X_150))) )],[refute_0_78,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(c(X_150),domain(X_150)) = one,
inference(subst,[],[refute_0_70:[bind(X_5,$fot(X_150))]]) ).
cnf(refute_0_85,plain,
( addition(c(X_150),domain(X_150)) != addition(one,domain(X_150))
| addition(c(X_150),domain(X_150)) != one
| one = addition(one,domain(X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_150),domain(X_150)),addition(one,domain(X_150))) ),[0],$fot(one)]]) ).
cnf(refute_0_86,plain,
( addition(c(X_150),domain(X_150)) != addition(one,domain(X_150))
| one = addition(one,domain(X_150)) ),
inference(resolve,[$cnf( $equal(addition(c(X_150),domain(X_150)),one) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
one = addition(one,domain(X_150)),
inference(resolve,[$cnf( $equal(addition(c(X_150),domain(X_150)),addition(one,domain(X_150))) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
one = addition(one,domain(multiplication(X0,domain(X1)))),
inference(subst,[],[refute_0_87:[bind(X_150,$fot(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_89,plain,
( forward_diamond(X0,X1) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(forward_diamond(X0,X1))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_90,plain,
domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(resolve,[$cnf( $equal(forward_diamond(X0,X1),domain(multiplication(X0,domain(X1)))) )],[refute_0_3,refute_0_89]) ).
cnf(refute_0_91,plain,
( domain(multiplication(X0,domain(X1))) != forward_diamond(X0,X1)
| one != addition(one,domain(multiplication(X0,domain(X1))))
| one = addition(one,forward_diamond(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,domain(multiplication(X0,domain(X1))))) ),[1,1],$fot(forward_diamond(X0,X1))]]) ).
cnf(refute_0_92,plain,
( one != addition(one,domain(multiplication(X0,domain(X1))))
| one = addition(one,forward_diamond(X0,X1)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),forward_diamond(X0,X1)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
one = addition(one,forward_diamond(X0,X1)),
inference(resolve,[$cnf( $equal(one,addition(one,domain(multiplication(X0,domain(X1))))) )],[refute_0_88,refute_0_92]) ).
cnf(refute_0_94,plain,
( one != addition(one,forward_diamond(X0,X1))
| addition(one,forward_diamond(X0,X1)) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(addition(one,forward_diamond(X0,X1))))]]) ).
cnf(refute_0_95,plain,
addition(one,forward_diamond(X0,X1)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,forward_diamond(X0,X1))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = one,
inference(subst,[],[refute_0_95:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_97,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != one
| addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) ),[0],$fot(addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_98,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = one ),
inference(resolve,[$cnf( $equal(addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(one,forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) )],[refute_0_77,refute_0_98]) ).
cnf(refute_0_100,plain,
( addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),C)) != addition(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),C)
| addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != one
| addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),C)) = addition(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),C)),addition(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),C)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_101,plain,
( addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),C)) != addition(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),C)
| addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),C)) = addition(one,C) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),C)) = addition(one,C),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),C)),addition(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),C)) )],[refute_0_22,refute_0_101]) ).
cnf(refute_0_103,plain,
addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))) = addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),
inference(subst,[],[refute_0_102:[bind(C,$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))))]]) ).
cnf(refute_0_104,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(X1)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_105,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),
inference(subst,[],[refute_0_104:[bind(X1,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_106,plain,
( addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))) != addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))),addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))) ),[0,1],$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_107,plain,
( addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))) != addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))),addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))) )],[refute_0_103,refute_0_107]) ).
cnf(refute_0_109,plain,
addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = one,
inference(subst,[],[refute_0_95:[bind(X0,$fot(star(skolemFOFtoCNF_X0))),bind(X1,$fot(domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_110,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))
| addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != one
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),one) ),[0],$fot(addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))))]]) ).
cnf(refute_0_111,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = one ),
inference(resolve,[$cnf( $equal(addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),one) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),addition(one,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
addition(c(skolemFOFtoCNF_X2),zero) = c(skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_1:[bind(A,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_114,plain,
forward_diamond(X0,zero) = domain(multiplication(X0,domain(zero))),
inference(subst,[],[refute_0_3:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_115,plain,
c(one) = antidomain(domain(one)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(one))]]) ).
cnf(refute_0_116,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_5:[bind(X0,$fot(one))]]) ).
cnf(refute_0_117,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_118,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_117:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_119,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_120,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_119:[bind(X0,$fot(one))]]) ).
cnf(refute_0_121,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| zero = antidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_122,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_118,refute_0_122]) ).
cnf(refute_0_124,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_125,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( antidomain(one) != zero
| domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_127,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_116,refute_0_127]) ).
cnf(refute_0_129,plain,
( c(one) != antidomain(domain(one))
| domain(one) != antidomain(zero)
| c(one) = antidomain(antidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(c(one),antidomain(domain(one))) ),[1,0],$fot(antidomain(zero))]]) ).
cnf(refute_0_130,plain,
( c(one) != antidomain(domain(one))
| c(one) = antidomain(antidomain(zero)) ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
c(one) = antidomain(antidomain(zero)),
inference(resolve,[$cnf( $equal(c(one),antidomain(domain(one))) )],[refute_0_115,refute_0_130]) ).
cnf(refute_0_132,plain,
antidomain(antidomain(zero)) = domain(zero),
inference(subst,[],[refute_0_33:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_133,plain,
( antidomain(antidomain(zero)) != domain(zero)
| c(one) != antidomain(antidomain(zero))
| c(one) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(c(one),antidomain(antidomain(zero))) ),[1],$fot(domain(zero))]]) ).
cnf(refute_0_134,plain,
( c(one) != antidomain(antidomain(zero))
| c(one) = domain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(zero)),domain(zero)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
c(one) = domain(zero),
inference(resolve,[$cnf( $equal(c(one),antidomain(antidomain(zero))) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
multiplication(antidomain(c(one)),c(one)) = zero,
inference(subst,[],[refute_0_119:[bind(X0,$fot(c(one)))]]) ).
cnf(refute_0_137,plain,
c(zero) = antidomain(domain(zero)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_138,plain,
( c(one) != domain(zero)
| domain(zero) = c(one) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(one))),bind(Y,$fot(domain(zero)))]]) ).
cnf(refute_0_139,plain,
domain(zero) = c(one),
inference(resolve,[$cnf( $equal(c(one),domain(zero)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
( c(zero) != antidomain(domain(zero))
| domain(zero) != c(one)
| c(zero) = antidomain(c(one)) ),
introduced(tautology,[equality,[$cnf( $equal(c(zero),antidomain(domain(zero))) ),[1,0],$fot(c(one))]]) ).
cnf(refute_0_141,plain,
( c(zero) != antidomain(domain(zero))
| c(zero) = antidomain(c(one)) ),
inference(resolve,[$cnf( $equal(domain(zero),c(one)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
c(zero) = antidomain(c(one)),
inference(resolve,[$cnf( $equal(c(zero),antidomain(domain(zero))) )],[refute_0_137,refute_0_141]) ).
cnf(refute_0_143,plain,
( c(zero) != antidomain(c(one))
| antidomain(c(one)) = c(zero) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(zero))),bind(Y,$fot(antidomain(c(one))))]]) ).
cnf(refute_0_144,plain,
antidomain(c(one)) = c(zero),
inference(resolve,[$cnf( $equal(c(zero),antidomain(c(one))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
( antidomain(c(one)) != c(zero)
| multiplication(antidomain(c(one)),c(one)) != zero
| multiplication(c(zero),c(one)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(one)),c(one)),zero) ),[0,0],$fot(c(zero))]]) ).
cnf(refute_0_146,plain,
( multiplication(antidomain(c(one)),c(one)) != zero
| multiplication(c(zero),c(one)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(c(one)),c(zero)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiplication(c(zero),c(one)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(one)),c(one)),zero) )],[refute_0_136,refute_0_146]) ).
cnf(refute_0_148,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_149,plain,
multiplication(one,c(one)) = c(one),
inference(subst,[],[refute_0_148:[bind(A,$fot(c(one)))]]) ).
cnf(refute_0_150,plain,
forward_diamond(X_38,one) = domain(multiplication(X_38,domain(one))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_38)),bind(X1,$fot(one))]]) ).
cnf(refute_0_151,plain,
( domain(one) != antidomain(zero)
| forward_diamond(X_38,one) != domain(multiplication(X_38,domain(one)))
| forward_diamond(X_38,one) = domain(multiplication(X_38,antidomain(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_38,one),domain(multiplication(X_38,domain(one)))) ),[1,0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_152,plain,
( forward_diamond(X_38,one) != domain(multiplication(X_38,domain(one)))
| forward_diamond(X_38,one) = domain(multiplication(X_38,antidomain(zero))) ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_128,refute_0_151]) ).
cnf(refute_0_153,plain,
forward_diamond(X_38,one) = domain(multiplication(X_38,antidomain(zero))),
inference(resolve,[$cnf( $equal(forward_diamond(X_38,one),domain(multiplication(X_38,domain(one)))) )],[refute_0_150,refute_0_152]) ).
cnf(refute_0_154,plain,
forward_diamond(antidomain(zero),one) = domain(multiplication(antidomain(zero),antidomain(zero))),
inference(subst,[],[refute_0_153:[bind(X_38,$fot(antidomain(zero)))]]) ).
cnf(refute_0_155,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_156,plain,
domain_difference(one,X_24) = multiplication(domain(one),antidomain(X_24)),
inference(subst,[],[refute_0_155:[bind(X0,$fot(one)),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_157,plain,
( domain(one) != antidomain(zero)
| domain_difference(one,X_24) != multiplication(domain(one),antidomain(X_24))
| domain_difference(one,X_24) = multiplication(antidomain(zero),antidomain(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(one,X_24),multiplication(domain(one),antidomain(X_24))) ),[1,0],$fot(antidomain(zero))]]) ).
cnf(refute_0_158,plain,
( domain_difference(one,X_24) != multiplication(domain(one),antidomain(X_24))
| domain_difference(one,X_24) = multiplication(antidomain(zero),antidomain(X_24)) ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_128,refute_0_157]) ).
cnf(refute_0_159,plain,
domain_difference(one,X_24) = multiplication(antidomain(zero),antidomain(X_24)),
inference(resolve,[$cnf( $equal(domain_difference(one,X_24),multiplication(domain(one),antidomain(X_24))) )],[refute_0_156,refute_0_158]) ).
cnf(refute_0_160,plain,
domain_difference(one,zero) = multiplication(antidomain(zero),antidomain(zero)),
inference(subst,[],[refute_0_159:[bind(X_24,$fot(zero))]]) ).
cnf(refute_0_161,plain,
( domain_difference(one,zero) != multiplication(antidomain(zero),antidomain(zero))
| multiplication(antidomain(zero),antidomain(zero)) = domain_difference(one,zero) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain_difference(one,zero))),bind(Y,$fot(multiplication(antidomain(zero),antidomain(zero))))]]) ).
cnf(refute_0_162,plain,
multiplication(antidomain(zero),antidomain(zero)) = domain_difference(one,zero),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),multiplication(antidomain(zero),antidomain(zero))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( forward_diamond(antidomain(zero),one) != domain(multiplication(antidomain(zero),antidomain(zero)))
| multiplication(antidomain(zero),antidomain(zero)) != domain_difference(one,zero)
| forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(multiplication(antidomain(zero),antidomain(zero)))) ),[1,0],$fot(domain_difference(one,zero))]]) ).
cnf(refute_0_164,plain,
( forward_diamond(antidomain(zero),one) != domain(multiplication(antidomain(zero),antidomain(zero)))
| forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(zero)),domain_difference(one,zero)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(multiplication(antidomain(zero),antidomain(zero)))) )],[refute_0_154,refute_0_164]) ).
cnf(refute_0_166,plain,
domain(antidomain(zero)) = c(zero),
inference(subst,[],[refute_0_54:[bind(X_5,$fot(zero))]]) ).
cnf(refute_0_167,plain,
multiplication(X_38,one) = X_38,
inference(subst,[],[refute_0_117:[bind(A,$fot(X_38))]]) ).
cnf(refute_0_168,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_25:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_169,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_40:[bind(X0,$fot(one))]]) ).
cnf(refute_0_170,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_171,plain,
( addition(antidomain(one),domain(one)) != one
| addition(antidomain(one),antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_128,refute_0_170]) ).
cnf(refute_0_172,plain,
addition(antidomain(one),antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_169,refute_0_171]) ).
cnf(refute_0_173,plain,
addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).
cnf(refute_0_174,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_175,plain,
( antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_125,refute_0_175]) ).
cnf(refute_0_177,plain,
( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
| addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_178,plain,
( addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_172,refute_0_178]) ).
cnf(refute_0_180,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_181,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_168,refute_0_181]) ).
cnf(refute_0_183,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_1:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_184,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_185,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_188,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiplication(X_38,antidomain(zero)) = multiplication(X_38,antidomain(zero)),
introduced(tautology,[refl,[$fot(multiplication(X_38,antidomain(zero)))]]) ).
cnf(refute_0_190,plain,
( antidomain(zero) != one
| multiplication(X_38,antidomain(zero)) != multiplication(X_38,antidomain(zero))
| multiplication(X_38,antidomain(zero)) = multiplication(X_38,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_38,antidomain(zero)),multiplication(X_38,antidomain(zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_191,plain,
( antidomain(zero) != one
| multiplication(X_38,antidomain(zero)) = multiplication(X_38,one) ),
inference(resolve,[$cnf( $equal(multiplication(X_38,antidomain(zero)),multiplication(X_38,antidomain(zero))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiplication(X_38,antidomain(zero)) = multiplication(X_38,one),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
( multiplication(X_38,antidomain(zero)) != multiplication(X_38,one)
| multiplication(X_38,one) != X_38
| multiplication(X_38,antidomain(zero)) = X_38 ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(X_38,antidomain(zero)))),bind(Y,$fot(multiplication(X_38,one))),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_194,plain,
( multiplication(X_38,one) != X_38
| multiplication(X_38,antidomain(zero)) = X_38 ),
inference(resolve,[$cnf( $equal(multiplication(X_38,antidomain(zero)),multiplication(X_38,one)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
multiplication(X_38,antidomain(zero)) = X_38,
inference(resolve,[$cnf( $equal(multiplication(X_38,one),X_38) )],[refute_0_167,refute_0_194]) ).
cnf(refute_0_196,plain,
domain(multiplication(X_38,antidomain(zero))) = domain(multiplication(X_38,antidomain(zero))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_38,antidomain(zero))))]]) ).
cnf(refute_0_197,plain,
( domain(multiplication(X_38,antidomain(zero))) != domain(multiplication(X_38,antidomain(zero)))
| multiplication(X_38,antidomain(zero)) != X_38
| domain(multiplication(X_38,antidomain(zero))) = domain(X_38) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_38,antidomain(zero))),domain(multiplication(X_38,antidomain(zero)))) ),[1,0],$fot(X_38)]]) ).
cnf(refute_0_198,plain,
( multiplication(X_38,antidomain(zero)) != X_38
| domain(multiplication(X_38,antidomain(zero))) = domain(X_38) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_38,antidomain(zero))),domain(multiplication(X_38,antidomain(zero)))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
domain(multiplication(X_38,antidomain(zero))) = domain(X_38),
inference(resolve,[$cnf( $equal(multiplication(X_38,antidomain(zero)),X_38) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( domain(multiplication(X_38,antidomain(zero))) != domain(X_38)
| forward_diamond(X_38,one) != domain(multiplication(X_38,antidomain(zero)))
| forward_diamond(X_38,one) = domain(X_38) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_38,one),domain(multiplication(X_38,antidomain(zero)))) ),[1],$fot(domain(X_38))]]) ).
cnf(refute_0_201,plain,
( forward_diamond(X_38,one) != domain(multiplication(X_38,antidomain(zero)))
| forward_diamond(X_38,one) = domain(X_38) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_38,antidomain(zero))),domain(X_38)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
forward_diamond(X_38,one) = domain(X_38),
inference(resolve,[$cnf( $equal(forward_diamond(X_38,one),domain(multiplication(X_38,antidomain(zero)))) )],[refute_0_153,refute_0_201]) ).
cnf(refute_0_203,plain,
forward_diamond(antidomain(zero),one) = domain(antidomain(zero)),
inference(subst,[],[refute_0_202:[bind(X_38,$fot(antidomain(zero)))]]) ).
cnf(refute_0_204,plain,
( domain(antidomain(zero)) != c(zero)
| forward_diamond(antidomain(zero),one) != domain(antidomain(zero))
| forward_diamond(antidomain(zero),one) = c(zero) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(forward_diamond(antidomain(zero),one))),bind(Y,$fot(domain(antidomain(zero)))),bind(Z,$fot(c(zero)))]]) ).
cnf(refute_0_205,plain,
( domain(antidomain(zero)) != c(zero)
| forward_diamond(antidomain(zero),one) = c(zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(antidomain(zero))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
forward_diamond(antidomain(zero),one) = c(zero),
inference(resolve,[$cnf( $equal(domain(antidomain(zero)),c(zero)) )],[refute_0_166,refute_0_205]) ).
cnf(refute_0_207,plain,
( forward_diamond(antidomain(zero),one) != c(zero)
| forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = domain(domain_difference(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(domain_difference(one,zero))) ),[0],$fot(c(zero))]]) ).
cnf(refute_0_208,plain,
( forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = domain(domain_difference(one,zero)) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),c(zero)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
( antidomain(zero) != one
| domain(one) != antidomain(zero)
| domain(one) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(zero)) ),[1],$fot(one)]]) ).
cnf(refute_0_210,plain,
( domain(one) != antidomain(zero)
| domain(one) = one ),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_188,refute_0_209]) ).
cnf(refute_0_211,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_128,refute_0_210]) ).
cnf(refute_0_212,plain,
multiplication(one,antidomain(X_24)) = antidomain(X_24),
inference(subst,[],[refute_0_148:[bind(A,$fot(antidomain(X_24)))]]) ).
cnf(refute_0_213,plain,
multiplication(antidomain(zero),antidomain(X_24)) = multiplication(antidomain(zero),antidomain(X_24)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(zero),antidomain(X_24)))]]) ).
cnf(refute_0_214,plain,
( antidomain(zero) != one
| multiplication(antidomain(zero),antidomain(X_24)) != multiplication(antidomain(zero),antidomain(X_24))
| multiplication(antidomain(zero),antidomain(X_24)) = multiplication(one,antidomain(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_24)),multiplication(antidomain(zero),antidomain(X_24))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_215,plain,
( antidomain(zero) != one
| multiplication(antidomain(zero),antidomain(X_24)) = multiplication(one,antidomain(X_24)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_24)),multiplication(antidomain(zero),antidomain(X_24))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
multiplication(antidomain(zero),antidomain(X_24)) = multiplication(one,antidomain(X_24)),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_188,refute_0_215]) ).
cnf(refute_0_217,plain,
( multiplication(antidomain(zero),antidomain(X_24)) != multiplication(one,antidomain(X_24))
| multiplication(one,antidomain(X_24)) != antidomain(X_24)
| multiplication(antidomain(zero),antidomain(X_24)) = antidomain(X_24) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(antidomain(zero),antidomain(X_24)))),bind(Y,$fot(multiplication(one,antidomain(X_24)))),bind(Z,$fot(antidomain(X_24)))]]) ).
cnf(refute_0_218,plain,
( multiplication(one,antidomain(X_24)) != antidomain(X_24)
| multiplication(antidomain(zero),antidomain(X_24)) = antidomain(X_24) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_24)),multiplication(one,antidomain(X_24))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
multiplication(antidomain(zero),antidomain(X_24)) = antidomain(X_24),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_24)),antidomain(X_24)) )],[refute_0_212,refute_0_218]) ).
cnf(refute_0_220,plain,
( domain_difference(one,X_24) != multiplication(antidomain(zero),antidomain(X_24))
| multiplication(antidomain(zero),antidomain(X_24)) != antidomain(X_24)
| domain_difference(one,X_24) = antidomain(X_24) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(one,X_24),antidomain(X_24)) ),[0],$fot(multiplication(antidomain(zero),antidomain(X_24)))]]) ).
cnf(refute_0_221,plain,
( domain_difference(one,X_24) != multiplication(antidomain(zero),antidomain(X_24))
| domain_difference(one,X_24) = antidomain(X_24) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_24)),antidomain(X_24)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
domain_difference(one,X_24) = antidomain(X_24),
inference(resolve,[$cnf( $equal(domain_difference(one,X_24),multiplication(antidomain(zero),antidomain(X_24))) )],[refute_0_159,refute_0_221]) ).
cnf(refute_0_223,plain,
domain_difference(one,zero) = antidomain(zero),
inference(subst,[],[refute_0_222:[bind(X_24,$fot(zero))]]) ).
cnf(refute_0_224,plain,
( antidomain(zero) != one
| domain_difference(one,zero) != antidomain(zero)
| domain_difference(one,zero) = one ),
inference(subst,[],[refute_0_64:[bind(X,$fot(domain_difference(one,zero))),bind(Y,$fot(antidomain(zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_225,plain,
( antidomain(zero) != one
| domain_difference(one,zero) = one ),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),antidomain(zero)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
domain_difference(one,zero) = one,
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_188,refute_0_225]) ).
cnf(refute_0_227,plain,
domain(domain_difference(one,zero)) = domain(domain_difference(one,zero)),
introduced(tautology,[refl,[$fot(domain(domain_difference(one,zero)))]]) ).
cnf(refute_0_228,plain,
( domain(domain_difference(one,zero)) != domain(domain_difference(one,zero))
| domain_difference(one,zero) != one
| domain(domain_difference(one,zero)) = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain_difference(one,zero)),domain(domain_difference(one,zero))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_229,plain,
( domain_difference(one,zero) != one
| domain(domain_difference(one,zero)) = domain(one) ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),domain(domain_difference(one,zero))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
domain(domain_difference(one,zero)) = domain(one),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),one) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( domain(domain_difference(one,zero)) != domain(one)
| domain(one) != one
| domain(domain_difference(one,zero)) = one ),
inference(subst,[],[refute_0_64:[bind(X,$fot(domain(domain_difference(one,zero)))),bind(Y,$fot(domain(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_232,plain,
( domain(one) != one
| domain(domain_difference(one,zero)) = one ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),domain(one)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
domain(domain_difference(one,zero)) = one,
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_211,refute_0_232]) ).
cnf(refute_0_234,plain,
( c(zero) != domain(domain_difference(one,zero))
| domain(domain_difference(one,zero)) != one
| c(zero) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(zero),one) ),[0],$fot(domain(domain_difference(one,zero)))]]) ).
cnf(refute_0_235,plain,
( c(zero) != domain(domain_difference(one,zero))
| c(zero) = one ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),one) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = one ),
inference(resolve,[$cnf( $equal(c(zero),domain(domain_difference(one,zero))) )],[refute_0_208,refute_0_235]) ).
cnf(refute_0_237,plain,
c(zero) = one,
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(domain_difference(one,zero))) )],[refute_0_165,refute_0_236]) ).
cnf(refute_0_238,plain,
multiplication(c(zero),c(one)) = multiplication(c(zero),c(one)),
introduced(tautology,[refl,[$fot(multiplication(c(zero),c(one)))]]) ).
cnf(refute_0_239,plain,
( c(zero) != one
| multiplication(c(zero),c(one)) != multiplication(c(zero),c(one))
| multiplication(c(zero),c(one)) = multiplication(one,c(one)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(c(zero),c(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_240,plain,
( c(zero) != one
| multiplication(c(zero),c(one)) = multiplication(one,c(one)) ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(c(zero),c(one))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiplication(c(zero),c(one)) = multiplication(one,c(one)),
inference(resolve,[$cnf( $equal(c(zero),one) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( multiplication(c(zero),c(one)) != multiplication(one,c(one))
| multiplication(one,c(one)) != c(one)
| multiplication(c(zero),c(one)) = c(one) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(c(zero),c(one)))),bind(Y,$fot(multiplication(one,c(one)))),bind(Z,$fot(c(one)))]]) ).
cnf(refute_0_243,plain,
( multiplication(one,c(one)) != c(one)
| multiplication(c(zero),c(one)) = c(one) ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(one,c(one))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiplication(c(zero),c(one)) = c(one),
inference(resolve,[$cnf( $equal(multiplication(one,c(one)),c(one)) )],[refute_0_149,refute_0_243]) ).
cnf(refute_0_245,plain,
( multiplication(c(zero),c(one)) != c(one)
| multiplication(c(zero),c(one)) != zero
| c(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(zero),c(one)),zero) ),[0],$fot(c(one))]]) ).
cnf(refute_0_246,plain,
( multiplication(c(zero),c(one)) != zero
| c(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),c(one)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
c(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),zero) )],[refute_0_147,refute_0_246]) ).
cnf(refute_0_248,plain,
( c(one) != domain(zero)
| c(one) != zero
| zero = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(c(one),domain(zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_249,plain,
( c(one) != domain(zero)
| zero = domain(zero) ),
inference(resolve,[$cnf( $equal(c(one),zero) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
zero = domain(zero),
inference(resolve,[$cnf( $equal(c(one),domain(zero)) )],[refute_0_135,refute_0_249]) ).
cnf(refute_0_251,plain,
( zero != domain(zero)
| domain(zero) = zero ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero)),bind(Y,$fot(domain(zero)))]]) ).
cnf(refute_0_252,plain,
domain(zero) = zero,
inference(resolve,[$cnf( $equal(zero,domain(zero)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( domain(zero) != zero
| forward_diamond(X0,zero) != domain(multiplication(X0,domain(zero)))
| forward_diamond(X0,zero) = domain(multiplication(X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,domain(zero)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_254,plain,
( forward_diamond(X0,zero) != domain(multiplication(X0,domain(zero)))
| forward_diamond(X0,zero) = domain(multiplication(X0,zero)) ),
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
forward_diamond(X0,zero) = domain(multiplication(X0,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,domain(zero)))) )],[refute_0_114,refute_0_254]) ).
cnf(refute_0_256,plain,
multiplication(A,zero) = zero,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_257,plain,
multiplication(X0,zero) = zero,
inference(subst,[],[refute_0_256:[bind(A,$fot(X0))]]) ).
cnf(refute_0_258,plain,
domain(multiplication(X0,zero)) = domain(multiplication(X0,zero)),
introduced(tautology,[refl,[$fot(domain(multiplication(X0,zero)))]]) ).
cnf(refute_0_259,plain,
( domain(multiplication(X0,zero)) != domain(multiplication(X0,zero))
| multiplication(X0,zero) != zero
| domain(multiplication(X0,zero)) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,zero)),domain(multiplication(X0,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_260,plain,
( multiplication(X0,zero) != zero
| domain(multiplication(X0,zero)) = domain(zero) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),domain(multiplication(X0,zero))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
domain(multiplication(X0,zero)) = domain(zero),
inference(resolve,[$cnf( $equal(multiplication(X0,zero),zero) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
( domain(multiplication(X0,zero)) != domain(zero)
| domain(zero) != zero
| domain(multiplication(X0,zero)) = zero ),
inference(subst,[],[refute_0_64:[bind(X,$fot(domain(multiplication(X0,zero)))),bind(Y,$fot(domain(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_263,plain,
( domain(zero) != zero
| domain(multiplication(X0,zero)) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),domain(zero)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
domain(multiplication(X0,zero)) = zero,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_252,refute_0_263]) ).
cnf(refute_0_265,plain,
( domain(multiplication(X0,zero)) != zero
| forward_diamond(X0,zero) != domain(multiplication(X0,zero))
| forward_diamond(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_266,plain,
( forward_diamond(X0,zero) != domain(multiplication(X0,zero))
| forward_diamond(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),zero) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
forward_diamond(X0,zero) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,zero))) )],[refute_0_255,refute_0_266]) ).
cnf(refute_0_268,plain,
forward_diamond(star(skolemFOFtoCNF_X0),zero) = zero,
inference(subst,[],[refute_0_267:[bind(X0,$fot(star(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_269,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_270,plain,
multiplication(antidomain(X_132),addition(X_132,X_133)) = addition(multiplication(antidomain(X_132),X_132),multiplication(antidomain(X_132),X_133)),
inference(subst,[],[refute_0_269:[bind(A,$fot(antidomain(X_132))),bind(B,$fot(X_132)),bind(C,$fot(X_133))]]) ).
cnf(refute_0_271,plain,
multiplication(antidomain(X_132),X_132) = zero,
inference(subst,[],[refute_0_119:[bind(X0,$fot(X_132))]]) ).
cnf(refute_0_272,plain,
( multiplication(antidomain(X_132),X_132) != zero
| multiplication(antidomain(X_132),addition(X_132,X_133)) != addition(multiplication(antidomain(X_132),X_132),multiplication(antidomain(X_132),X_133))
| multiplication(antidomain(X_132),addition(X_132,X_133)) = addition(zero,multiplication(antidomain(X_132),X_133)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_132),addition(X_132,X_133)),addition(multiplication(antidomain(X_132),X_132),multiplication(antidomain(X_132),X_133))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_273,plain,
( multiplication(antidomain(X_132),addition(X_132,X_133)) != addition(multiplication(antidomain(X_132),X_132),multiplication(antidomain(X_132),X_133))
| multiplication(antidomain(X_132),addition(X_132,X_133)) = addition(zero,multiplication(antidomain(X_132),X_133)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_132),X_132),zero) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiplication(antidomain(X_132),addition(X_132,X_133)) = addition(zero,multiplication(antidomain(X_132),X_133)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_132),addition(X_132,X_133)),addition(multiplication(antidomain(X_132),X_132),multiplication(antidomain(X_132),X_133))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_25:[bind(B,$fot(zero))]]) ).
cnf(refute_0_276,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_277,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_1,refute_0_277]) ).
cnf(refute_0_279,plain,
addition(zero,multiplication(antidomain(X_132),X_133)) = multiplication(antidomain(X_132),X_133),
inference(subst,[],[refute_0_278:[bind(A,$fot(multiplication(antidomain(X_132),X_133)))]]) ).
cnf(refute_0_280,plain,
( addition(zero,multiplication(antidomain(X_132),X_133)) != multiplication(antidomain(X_132),X_133)
| multiplication(antidomain(X_132),addition(X_132,X_133)) != addition(zero,multiplication(antidomain(X_132),X_133))
| multiplication(antidomain(X_132),addition(X_132,X_133)) = multiplication(antidomain(X_132),X_133) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_132),addition(X_132,X_133)),addition(zero,multiplication(antidomain(X_132),X_133))) ),[1],$fot(multiplication(antidomain(X_132),X_133))]]) ).
cnf(refute_0_281,plain,
( multiplication(antidomain(X_132),addition(X_132,X_133)) != addition(zero,multiplication(antidomain(X_132),X_133))
| multiplication(antidomain(X_132),addition(X_132,X_133)) = multiplication(antidomain(X_132),X_133) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(antidomain(X_132),X_133)),multiplication(antidomain(X_132),X_133)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiplication(antidomain(X_132),addition(X_132,X_133)) = multiplication(antidomain(X_132),X_133),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_132),addition(X_132,X_133)),addition(zero,multiplication(antidomain(X_132),X_133))) )],[refute_0_274,refute_0_281]) ).
cnf(refute_0_283,plain,
multiplication(antidomain(c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),
inference(subst,[],[refute_0_282:[bind(X_132,$fot(c(skolemFOFtoCNF_X2))),bind(X_133,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_284,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_285,plain,
multiplication(addition(X_249,one),X_251) = addition(multiplication(X_249,X_251),multiplication(one,X_251)),
inference(subst,[],[refute_0_284:[bind(A,$fot(X_249)),bind(B,$fot(one)),bind(C,$fot(X_251))]]) ).
cnf(refute_0_286,plain,
multiplication(one,X_251) = X_251,
inference(subst,[],[refute_0_148:[bind(A,$fot(X_251))]]) ).
cnf(refute_0_287,plain,
( multiplication(addition(X_249,one),X_251) != addition(multiplication(X_249,X_251),multiplication(one,X_251))
| multiplication(one,X_251) != X_251
| multiplication(addition(X_249,one),X_251) = addition(multiplication(X_249,X_251),X_251) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_249,one),X_251),addition(multiplication(X_249,X_251),multiplication(one,X_251))) ),[1,1],$fot(X_251)]]) ).
cnf(refute_0_288,plain,
( multiplication(addition(X_249,one),X_251) != addition(multiplication(X_249,X_251),multiplication(one,X_251))
| multiplication(addition(X_249,one),X_251) = addition(multiplication(X_249,X_251),X_251) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_251),X_251) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
multiplication(addition(X_249,one),X_251) = addition(multiplication(X_249,X_251),X_251),
inference(resolve,[$cnf( $equal(multiplication(addition(X_249,one),X_251),addition(multiplication(X_249,X_251),multiplication(one,X_251))) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
addition(multiplication(X_249,X_251),X_251) = addition(X_251,multiplication(X_249,X_251)),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_251)),bind(B,$fot(multiplication(X_249,X_251)))]]) ).
cnf(refute_0_291,plain,
( addition(multiplication(X_249,X_251),X_251) != addition(X_251,multiplication(X_249,X_251))
| multiplication(addition(X_249,one),X_251) != addition(multiplication(X_249,X_251),X_251)
| multiplication(addition(X_249,one),X_251) = addition(X_251,multiplication(X_249,X_251)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_249,one),X_251),addition(multiplication(X_249,X_251),X_251)) ),[1],$fot(addition(X_251,multiplication(X_249,X_251)))]]) ).
cnf(refute_0_292,plain,
( multiplication(addition(X_249,one),X_251) != addition(multiplication(X_249,X_251),X_251)
| multiplication(addition(X_249,one),X_251) = addition(X_251,multiplication(X_249,X_251)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_249,X_251),X_251),addition(X_251,multiplication(X_249,X_251))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
multiplication(addition(X_249,one),X_251) = addition(X_251,multiplication(X_249,X_251)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_249,one),X_251),addition(multiplication(X_249,X_251),X_251)) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) = addition(c(skolemFOFtoCNF_X2),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_293:[bind(X_249,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),bind(X_251,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_295,plain,
multiplication(antidomain(X_133),addition(X_132,X_133)) = addition(multiplication(antidomain(X_133),X_132),multiplication(antidomain(X_133),X_133)),
inference(subst,[],[refute_0_269:[bind(A,$fot(antidomain(X_133))),bind(B,$fot(X_132)),bind(C,$fot(X_133))]]) ).
cnf(refute_0_296,plain,
multiplication(antidomain(X_133),X_133) = zero,
inference(subst,[],[refute_0_119:[bind(X0,$fot(X_133))]]) ).
cnf(refute_0_297,plain,
( multiplication(antidomain(X_133),X_133) != zero
| multiplication(antidomain(X_133),addition(X_132,X_133)) != addition(multiplication(antidomain(X_133),X_132),multiplication(antidomain(X_133),X_133))
| multiplication(antidomain(X_133),addition(X_132,X_133)) = addition(multiplication(antidomain(X_133),X_132),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_133),addition(X_132,X_133)),addition(multiplication(antidomain(X_133),X_132),multiplication(antidomain(X_133),X_133))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_298,plain,
( multiplication(antidomain(X_133),addition(X_132,X_133)) != addition(multiplication(antidomain(X_133),X_132),multiplication(antidomain(X_133),X_133))
| multiplication(antidomain(X_133),addition(X_132,X_133)) = addition(multiplication(antidomain(X_133),X_132),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_133),X_133),zero) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiplication(antidomain(X_133),addition(X_132,X_133)) = addition(multiplication(antidomain(X_133),X_132),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_133),addition(X_132,X_133)),addition(multiplication(antidomain(X_133),X_132),multiplication(antidomain(X_133),X_133))) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
addition(multiplication(antidomain(X_133),X_132),zero) = multiplication(antidomain(X_133),X_132),
inference(subst,[],[refute_0_1:[bind(A,$fot(multiplication(antidomain(X_133),X_132)))]]) ).
cnf(refute_0_301,plain,
( addition(multiplication(antidomain(X_133),X_132),zero) != multiplication(antidomain(X_133),X_132)
| multiplication(antidomain(X_133),addition(X_132,X_133)) != addition(multiplication(antidomain(X_133),X_132),zero)
| multiplication(antidomain(X_133),addition(X_132,X_133)) = multiplication(antidomain(X_133),X_132) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_133),addition(X_132,X_133)),addition(multiplication(antidomain(X_133),X_132),zero)) ),[1],$fot(multiplication(antidomain(X_133),X_132))]]) ).
cnf(refute_0_302,plain,
( multiplication(antidomain(X_133),addition(X_132,X_133)) != addition(multiplication(antidomain(X_133),X_132),zero)
| multiplication(antidomain(X_133),addition(X_132,X_133)) = multiplication(antidomain(X_133),X_132) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_133),X_132),zero),multiplication(antidomain(X_133),X_132)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiplication(antidomain(X_133),addition(X_132,X_133)) = multiplication(antidomain(X_133),X_132),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_133),addition(X_132,X_133)),addition(multiplication(antidomain(X_133),X_132),zero)) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_303:[bind(X_132,$fot(c(skolemFOFtoCNF_X2))),bind(X_133,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_305,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != one
| multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))
| multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) = multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_306,plain,
( multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))
| multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) = multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) )],[refute_0_99,refute_0_305]) ).
cnf(refute_0_307,plain,
multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) = multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(c(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))) )],[refute_0_304,refute_0_306]) ).
cnf(refute_0_308,plain,
multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) = antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_117:[bind(A,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_309,plain,
( multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) != antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) != multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))
| antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))) ),[0],$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_310,plain,
( multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one) != multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))
| antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
( antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))
| multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)) = antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),bind(Y,$fot(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_313,plain,
multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)) = antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) != addition(c(skolemFOFtoCNF_X2),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)))
| multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)) != antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) = addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)))) ),[1,1],$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_315,plain,
( multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) != addition(c(skolemFOFtoCNF_X2),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)))
| multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) = addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) = addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),c(skolemFOFtoCNF_X2)))) )],[refute_0_294,refute_0_315]) ).
cnf(refute_0_317,plain,
multiplication(one,c(skolemFOFtoCNF_X2)) = c(skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_148:[bind(A,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_318,plain,
addition(c(X_150),addition(domain(X_150),X_149)) = addition(one,X_149),
inference(subst,[],[refute_0_73:[bind(X_146,$fot(X_149)),bind(X_5,$fot(X_150))]]) ).
cnf(refute_0_319,plain,
addition(X_149,domain(X_150)) = addition(domain(X_150),X_149),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_149)),bind(B,$fot(domain(X_150)))]]) ).
cnf(refute_0_320,plain,
( addition(X_149,domain(X_150)) != addition(domain(X_150),X_149)
| addition(domain(X_150),X_149) = addition(X_149,domain(X_150)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(addition(X_149,domain(X_150)))),bind(Y,$fot(addition(domain(X_150),X_149)))]]) ).
cnf(refute_0_321,plain,
addition(domain(X_150),X_149) = addition(X_149,domain(X_150)),
inference(resolve,[$cnf( $equal(addition(X_149,domain(X_150)),addition(domain(X_150),X_149)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
( addition(c(X_150),addition(domain(X_150),X_149)) != addition(one,X_149)
| addition(domain(X_150),X_149) != addition(X_149,domain(X_150))
| addition(c(X_150),addition(X_149,domain(X_150))) = addition(one,X_149) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_150),addition(domain(X_150),X_149)),addition(one,X_149)) ),[0,1],$fot(addition(X_149,domain(X_150)))]]) ).
cnf(refute_0_323,plain,
( addition(c(X_150),addition(domain(X_150),X_149)) != addition(one,X_149)
| addition(c(X_150),addition(X_149,domain(X_150))) = addition(one,X_149) ),
inference(resolve,[$cnf( $equal(addition(domain(X_150),X_149),addition(X_149,domain(X_150))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
addition(c(X_150),addition(X_149,domain(X_150))) = addition(one,X_149),
inference(resolve,[$cnf( $equal(addition(c(X_150),addition(domain(X_150),X_149)),addition(one,X_149)) )],[refute_0_318,refute_0_323]) ).
cnf(refute_0_325,plain,
addition(c(X_404),addition(antidomain(X_404),domain(X_404))) = addition(one,antidomain(X_404)),
inference(subst,[],[refute_0_324:[bind(X_149,$fot(antidomain(X_404))),bind(X_150,$fot(X_404))]]) ).
cnf(refute_0_326,plain,
addition(antidomain(X_404),domain(X_404)) = one,
inference(subst,[],[refute_0_40:[bind(X0,$fot(X_404))]]) ).
cnf(refute_0_327,plain,
( addition(antidomain(X_404),domain(X_404)) != one
| addition(c(X_404),addition(antidomain(X_404),domain(X_404))) != addition(one,antidomain(X_404))
| addition(c(X_404),one) = addition(one,antidomain(X_404)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_404),addition(antidomain(X_404),domain(X_404))),addition(one,antidomain(X_404))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_328,plain,
( addition(c(X_404),addition(antidomain(X_404),domain(X_404))) != addition(one,antidomain(X_404))
| addition(c(X_404),one) = addition(one,antidomain(X_404)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_404),domain(X_404)),one) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
addition(c(X_404),one) = addition(one,antidomain(X_404)),
inference(resolve,[$cnf( $equal(addition(c(X_404),addition(antidomain(X_404),domain(X_404))),addition(one,antidomain(X_404))) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
one = addition(one,domain(antidomain(X_5))),
inference(subst,[],[refute_0_87:[bind(X_150,$fot(antidomain(X_5)))]]) ).
cnf(refute_0_331,plain,
( domain(antidomain(X_5)) != c(X_5)
| one != addition(one,domain(antidomain(X_5)))
| one = addition(one,c(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,domain(antidomain(X_5)))) ),[1,1],$fot(c(X_5))]]) ).
cnf(refute_0_332,plain,
( one != addition(one,domain(antidomain(X_5)))
| one = addition(one,c(X_5)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_5)),c(X_5)) )],[refute_0_54,refute_0_331]) ).
cnf(refute_0_333,plain,
one = addition(one,c(X_5)),
inference(resolve,[$cnf( $equal(one,addition(one,domain(antidomain(X_5)))) )],[refute_0_330,refute_0_332]) ).
cnf(refute_0_334,plain,
( one != addition(one,c(X_5))
| addition(one,c(X_5)) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(addition(one,c(X_5))))]]) ).
cnf(refute_0_335,plain,
addition(one,c(X_5)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,c(X_5))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
addition(one,c(X_404)) = one,
inference(subst,[],[refute_0_335:[bind(X_5,$fot(X_404))]]) ).
cnf(refute_0_337,plain,
addition(one,X_256) = addition(X_256,one),
inference(subst,[],[refute_0_25:[bind(A,$fot(one)),bind(B,$fot(X_256))]]) ).
cnf(refute_0_338,plain,
( addition(one,X_256) != addition(X_256,one)
| addition(X_256,one) = addition(one,X_256) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(addition(one,X_256))),bind(Y,$fot(addition(X_256,one)))]]) ).
cnf(refute_0_339,plain,
addition(X_256,one) = addition(one,X_256),
inference(resolve,[$cnf( $equal(addition(one,X_256),addition(X_256,one)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
addition(c(X_404),one) = addition(one,c(X_404)),
inference(subst,[],[refute_0_339:[bind(X_256,$fot(c(X_404)))]]) ).
cnf(refute_0_341,plain,
( addition(c(X_404),one) != addition(one,c(X_404))
| addition(one,c(X_404)) != one
| addition(c(X_404),one) = one ),
inference(subst,[],[refute_0_64:[bind(X,$fot(addition(c(X_404),one))),bind(Y,$fot(addition(one,c(X_404)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_342,plain,
( addition(one,c(X_404)) != one
| addition(c(X_404),one) = one ),
inference(resolve,[$cnf( $equal(addition(c(X_404),one),addition(one,c(X_404))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
addition(c(X_404),one) = one,
inference(resolve,[$cnf( $equal(addition(one,c(X_404)),one) )],[refute_0_336,refute_0_342]) ).
cnf(refute_0_344,plain,
( addition(c(X_404),one) != addition(one,antidomain(X_404))
| addition(c(X_404),one) != one
| one = addition(one,antidomain(X_404)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_404),one),addition(one,antidomain(X_404))) ),[0],$fot(one)]]) ).
cnf(refute_0_345,plain,
( addition(c(X_404),one) != addition(one,antidomain(X_404))
| one = addition(one,antidomain(X_404)) ),
inference(resolve,[$cnf( $equal(addition(c(X_404),one),one) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
one = addition(one,antidomain(X_404)),
inference(resolve,[$cnf( $equal(addition(c(X_404),one),addition(one,antidomain(X_404))) )],[refute_0_329,refute_0_345]) ).
cnf(refute_0_347,plain,
( one != addition(one,antidomain(X_404))
| addition(one,antidomain(X_404)) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(addition(one,antidomain(X_404))))]]) ).
cnf(refute_0_348,plain,
addition(one,antidomain(X_404)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(X_404))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = one,
inference(subst,[],[refute_0_348:[bind(X_404,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_350,plain,
multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) = multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_351,plain,
( addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != one
| multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) != multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2))
| multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) = multiplication(one,c(skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)),multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_352,plain,
( addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != one
| multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) = multiplication(one,c(skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)),multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) = multiplication(one,c(skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),one) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
( multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) != multiplication(one,c(skolemFOFtoCNF_X2))
| multiplication(one,c(skolemFOFtoCNF_X2)) != c(skolemFOFtoCNF_X2)
| multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) = c(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)))),bind(Y,$fot(multiplication(one,c(skolemFOFtoCNF_X2)))),bind(Z,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_355,plain,
( multiplication(one,c(skolemFOFtoCNF_X2)) != c(skolemFOFtoCNF_X2)
| multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) = c(skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)),multiplication(one,c(skolemFOFtoCNF_X2))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) = c(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(multiplication(one,c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) )],[refute_0_317,refute_0_355]) ).
cnf(refute_0_357,plain,
multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))) = addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))),
inference(subst,[],[refute_0_293:[bind(X_251,$fot(addition(X_387,coantidomain(codomain(addition(X_249,one))))))]]) ).
cnf(refute_0_358,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_359,plain,
multiplication(X_158,multiplication(codomain(X_158),X_160)) = multiplication(multiplication(X_158,codomain(X_158)),X_160),
inference(subst,[],[refute_0_358:[bind(A,$fot(X_158)),bind(B,$fot(codomain(X_158))),bind(C,$fot(X_160))]]) ).
cnf(refute_0_360,plain,
multiplication(X_131,addition(coantidomain(X_131),X_133)) = addition(multiplication(X_131,coantidomain(X_131)),multiplication(X_131,X_133)),
inference(subst,[],[refute_0_269:[bind(A,$fot(X_131)),bind(B,$fot(coantidomain(X_131))),bind(C,$fot(X_133))]]) ).
cnf(refute_0_361,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_362,plain,
multiplication(X_131,coantidomain(X_131)) = zero,
inference(subst,[],[refute_0_361:[bind(X0,$fot(X_131))]]) ).
cnf(refute_0_363,plain,
( multiplication(X_131,addition(coantidomain(X_131),X_133)) != addition(multiplication(X_131,coantidomain(X_131)),multiplication(X_131,X_133))
| multiplication(X_131,coantidomain(X_131)) != zero
| multiplication(X_131,addition(coantidomain(X_131),X_133)) = addition(zero,multiplication(X_131,X_133)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_131,addition(coantidomain(X_131),X_133)),addition(multiplication(X_131,coantidomain(X_131)),multiplication(X_131,X_133))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_364,plain,
( multiplication(X_131,addition(coantidomain(X_131),X_133)) != addition(multiplication(X_131,coantidomain(X_131)),multiplication(X_131,X_133))
| multiplication(X_131,addition(coantidomain(X_131),X_133)) = addition(zero,multiplication(X_131,X_133)) ),
inference(resolve,[$cnf( $equal(multiplication(X_131,coantidomain(X_131)),zero) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
multiplication(X_131,addition(coantidomain(X_131),X_133)) = addition(zero,multiplication(X_131,X_133)),
inference(resolve,[$cnf( $equal(multiplication(X_131,addition(coantidomain(X_131),X_133)),addition(multiplication(X_131,coantidomain(X_131)),multiplication(X_131,X_133))) )],[refute_0_360,refute_0_364]) ).
cnf(refute_0_366,plain,
addition(zero,multiplication(X_131,X_133)) = multiplication(X_131,X_133),
inference(subst,[],[refute_0_278:[bind(A,$fot(multiplication(X_131,X_133)))]]) ).
cnf(refute_0_367,plain,
( addition(zero,multiplication(X_131,X_133)) != multiplication(X_131,X_133)
| multiplication(X_131,addition(coantidomain(X_131),X_133)) != addition(zero,multiplication(X_131,X_133))
| multiplication(X_131,addition(coantidomain(X_131),X_133)) = multiplication(X_131,X_133) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_131,addition(coantidomain(X_131),X_133)),addition(zero,multiplication(X_131,X_133))) ),[1],$fot(multiplication(X_131,X_133))]]) ).
cnf(refute_0_368,plain,
( multiplication(X_131,addition(coantidomain(X_131),X_133)) != addition(zero,multiplication(X_131,X_133))
| multiplication(X_131,addition(coantidomain(X_131),X_133)) = multiplication(X_131,X_133) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_131,X_133)),multiplication(X_131,X_133)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
multiplication(X_131,addition(coantidomain(X_131),X_133)) = multiplication(X_131,X_133),
inference(resolve,[$cnf( $equal(multiplication(X_131,addition(coantidomain(X_131),X_133)),addition(zero,multiplication(X_131,X_133))) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
multiplication(X_136,addition(coantidomain(X_136),codomain(X_136))) = multiplication(X_136,codomain(X_136)),
inference(subst,[],[refute_0_369:[bind(X_131,$fot(X_136)),bind(X_133,$fot(codomain(X_136)))]]) ).
cnf(refute_0_371,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_372,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(subst,[],[refute_0_27:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_373,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) ),[0],$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_374,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_377,plain,
( codomain(X0) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_378,plain,
coantidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_380,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_381,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).
cnf(refute_0_384,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
addition(coantidomain(X0),codomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_375,refute_0_384]) ).
cnf(refute_0_386,plain,
addition(coantidomain(X_136),codomain(X_136)) = one,
inference(subst,[],[refute_0_385:[bind(X0,$fot(X_136))]]) ).
cnf(refute_0_387,plain,
( addition(coantidomain(X_136),codomain(X_136)) != one
| multiplication(X_136,addition(coantidomain(X_136),codomain(X_136))) != multiplication(X_136,codomain(X_136))
| multiplication(X_136,one) = multiplication(X_136,codomain(X_136)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_136,addition(coantidomain(X_136),codomain(X_136))),multiplication(X_136,codomain(X_136))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_388,plain,
( multiplication(X_136,addition(coantidomain(X_136),codomain(X_136))) != multiplication(X_136,codomain(X_136))
| multiplication(X_136,one) = multiplication(X_136,codomain(X_136)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_136),codomain(X_136)),one) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
multiplication(X_136,one) = multiplication(X_136,codomain(X_136)),
inference(resolve,[$cnf( $equal(multiplication(X_136,addition(coantidomain(X_136),codomain(X_136))),multiplication(X_136,codomain(X_136))) )],[refute_0_370,refute_0_388]) ).
cnf(refute_0_390,plain,
multiplication(X_136,one) = X_136,
inference(subst,[],[refute_0_117:[bind(A,$fot(X_136))]]) ).
cnf(refute_0_391,plain,
( multiplication(X_136,one) != X_136
| multiplication(X_136,one) != multiplication(X_136,codomain(X_136))
| X_136 = multiplication(X_136,codomain(X_136)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_136,one),multiplication(X_136,codomain(X_136))) ),[0],$fot(X_136)]]) ).
cnf(refute_0_392,plain,
( multiplication(X_136,one) != multiplication(X_136,codomain(X_136))
| X_136 = multiplication(X_136,codomain(X_136)) ),
inference(resolve,[$cnf( $equal(multiplication(X_136,one),X_136) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
X_136 = multiplication(X_136,codomain(X_136)),
inference(resolve,[$cnf( $equal(multiplication(X_136,one),multiplication(X_136,codomain(X_136))) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
X_158 = multiplication(X_158,codomain(X_158)),
inference(subst,[],[refute_0_393:[bind(X_136,$fot(X_158))]]) ).
cnf(refute_0_395,plain,
( X_158 != multiplication(X_158,codomain(X_158))
| multiplication(X_158,codomain(X_158)) = X_158 ),
inference(subst,[],[refute_0_11:[bind(X,$fot(X_158)),bind(Y,$fot(multiplication(X_158,codomain(X_158))))]]) ).
cnf(refute_0_396,plain,
multiplication(X_158,codomain(X_158)) = X_158,
inference(resolve,[$cnf( $equal(X_158,multiplication(X_158,codomain(X_158))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
( multiplication(X_158,codomain(X_158)) != X_158
| multiplication(X_158,multiplication(codomain(X_158),X_160)) != multiplication(multiplication(X_158,codomain(X_158)),X_160)
| multiplication(X_158,multiplication(codomain(X_158),X_160)) = multiplication(X_158,X_160) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_158,multiplication(codomain(X_158),X_160)),multiplication(multiplication(X_158,codomain(X_158)),X_160)) ),[1,0],$fot(X_158)]]) ).
cnf(refute_0_398,plain,
( multiplication(X_158,multiplication(codomain(X_158),X_160)) != multiplication(multiplication(X_158,codomain(X_158)),X_160)
| multiplication(X_158,multiplication(codomain(X_158),X_160)) = multiplication(X_158,X_160) ),
inference(resolve,[$cnf( $equal(multiplication(X_158,codomain(X_158)),X_158) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
multiplication(X_158,multiplication(codomain(X_158),X_160)) = multiplication(X_158,X_160),
inference(resolve,[$cnf( $equal(multiplication(X_158,multiplication(codomain(X_158),X_160)),multiplication(multiplication(X_158,codomain(X_158)),X_160)) )],[refute_0_359,refute_0_398]) ).
cnf(refute_0_400,plain,
multiplication(X_166,multiplication(codomain(X_166),addition(X_132,coantidomain(codomain(X_166))))) = multiplication(X_166,addition(X_132,coantidomain(codomain(X_166)))),
inference(subst,[],[refute_0_399:[bind(X_158,$fot(X_166)),bind(X_160,$fot(addition(X_132,coantidomain(codomain(X_166)))))]]) ).
cnf(refute_0_401,plain,
multiplication(X_131,addition(X_132,coantidomain(X_131))) = addition(multiplication(X_131,X_132),multiplication(X_131,coantidomain(X_131))),
inference(subst,[],[refute_0_269:[bind(A,$fot(X_131)),bind(B,$fot(X_132)),bind(C,$fot(coantidomain(X_131)))]]) ).
cnf(refute_0_402,plain,
( multiplication(X_131,addition(X_132,coantidomain(X_131))) != addition(multiplication(X_131,X_132),multiplication(X_131,coantidomain(X_131)))
| multiplication(X_131,coantidomain(X_131)) != zero
| multiplication(X_131,addition(X_132,coantidomain(X_131))) = addition(multiplication(X_131,X_132),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_131,addition(X_132,coantidomain(X_131))),addition(multiplication(X_131,X_132),multiplication(X_131,coantidomain(X_131)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_403,plain,
( multiplication(X_131,addition(X_132,coantidomain(X_131))) != addition(multiplication(X_131,X_132),multiplication(X_131,coantidomain(X_131)))
| multiplication(X_131,addition(X_132,coantidomain(X_131))) = addition(multiplication(X_131,X_132),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_131,coantidomain(X_131)),zero) )],[refute_0_362,refute_0_402]) ).
cnf(refute_0_404,plain,
multiplication(X_131,addition(X_132,coantidomain(X_131))) = addition(multiplication(X_131,X_132),zero),
inference(resolve,[$cnf( $equal(multiplication(X_131,addition(X_132,coantidomain(X_131))),addition(multiplication(X_131,X_132),multiplication(X_131,coantidomain(X_131)))) )],[refute_0_401,refute_0_403]) ).
cnf(refute_0_405,plain,
addition(multiplication(X_131,X_132),zero) = multiplication(X_131,X_132),
inference(subst,[],[refute_0_1:[bind(A,$fot(multiplication(X_131,X_132)))]]) ).
cnf(refute_0_406,plain,
( addition(multiplication(X_131,X_132),zero) != multiplication(X_131,X_132)
| multiplication(X_131,addition(X_132,coantidomain(X_131))) != addition(multiplication(X_131,X_132),zero)
| multiplication(X_131,addition(X_132,coantidomain(X_131))) = multiplication(X_131,X_132) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_131,addition(X_132,coantidomain(X_131))),addition(multiplication(X_131,X_132),zero)) ),[1],$fot(multiplication(X_131,X_132))]]) ).
cnf(refute_0_407,plain,
( multiplication(X_131,addition(X_132,coantidomain(X_131))) != addition(multiplication(X_131,X_132),zero)
| multiplication(X_131,addition(X_132,coantidomain(X_131))) = multiplication(X_131,X_132) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_131,X_132),zero),multiplication(X_131,X_132)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiplication(X_131,addition(X_132,coantidomain(X_131))) = multiplication(X_131,X_132),
inference(resolve,[$cnf( $equal(multiplication(X_131,addition(X_132,coantidomain(X_131))),addition(multiplication(X_131,X_132),zero)) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
multiplication(codomain(X_166),addition(X_132,coantidomain(codomain(X_166)))) = multiplication(codomain(X_166),X_132),
inference(subst,[],[refute_0_408:[bind(X_131,$fot(codomain(X_166)))]]) ).
cnf(refute_0_410,plain,
( multiplication(X_166,multiplication(codomain(X_166),addition(X_132,coantidomain(codomain(X_166))))) != multiplication(X_166,addition(X_132,coantidomain(codomain(X_166))))
| multiplication(codomain(X_166),addition(X_132,coantidomain(codomain(X_166)))) != multiplication(codomain(X_166),X_132)
| multiplication(X_166,multiplication(codomain(X_166),X_132)) = multiplication(X_166,addition(X_132,coantidomain(codomain(X_166)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_166,multiplication(codomain(X_166),addition(X_132,coantidomain(codomain(X_166))))),multiplication(X_166,addition(X_132,coantidomain(codomain(X_166))))) ),[0,1],$fot(multiplication(codomain(X_166),X_132))]]) ).
cnf(refute_0_411,plain,
( multiplication(X_166,multiplication(codomain(X_166),addition(X_132,coantidomain(codomain(X_166))))) != multiplication(X_166,addition(X_132,coantidomain(codomain(X_166))))
| multiplication(X_166,multiplication(codomain(X_166),X_132)) = multiplication(X_166,addition(X_132,coantidomain(codomain(X_166)))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_166),addition(X_132,coantidomain(codomain(X_166)))),multiplication(codomain(X_166),X_132)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
multiplication(X_166,multiplication(codomain(X_166),X_132)) = multiplication(X_166,addition(X_132,coantidomain(codomain(X_166)))),
inference(resolve,[$cnf( $equal(multiplication(X_166,multiplication(codomain(X_166),addition(X_132,coantidomain(codomain(X_166))))),multiplication(X_166,addition(X_132,coantidomain(codomain(X_166))))) )],[refute_0_400,refute_0_411]) ).
cnf(refute_0_413,plain,
multiplication(X_166,multiplication(codomain(X_166),X_132)) = multiplication(X_166,X_132),
inference(subst,[],[refute_0_399:[bind(X_158,$fot(X_166)),bind(X_160,$fot(X_132))]]) ).
cnf(refute_0_414,plain,
( multiplication(X_166,multiplication(codomain(X_166),X_132)) != multiplication(X_166,X_132)
| multiplication(X_166,multiplication(codomain(X_166),X_132)) != multiplication(X_166,addition(X_132,coantidomain(codomain(X_166))))
| multiplication(X_166,X_132) = multiplication(X_166,addition(X_132,coantidomain(codomain(X_166)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_166,multiplication(codomain(X_166),X_132)),multiplication(X_166,addition(X_132,coantidomain(codomain(X_166))))) ),[0],$fot(multiplication(X_166,X_132))]]) ).
cnf(refute_0_415,plain,
( multiplication(X_166,multiplication(codomain(X_166),X_132)) != multiplication(X_166,addition(X_132,coantidomain(codomain(X_166))))
| multiplication(X_166,X_132) = multiplication(X_166,addition(X_132,coantidomain(codomain(X_166)))) ),
inference(resolve,[$cnf( $equal(multiplication(X_166,multiplication(codomain(X_166),X_132)),multiplication(X_166,X_132)) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
multiplication(X_166,X_132) = multiplication(X_166,addition(X_132,coantidomain(codomain(X_166)))),
inference(resolve,[$cnf( $equal(multiplication(X_166,multiplication(codomain(X_166),X_132)),multiplication(X_166,addition(X_132,coantidomain(codomain(X_166))))) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
multiplication(addition(X_249,one),X_387) = multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))),
inference(subst,[],[refute_0_416:[bind(X_132,$fot(X_387)),bind(X_166,$fot(addition(X_249,one)))]]) ).
cnf(refute_0_418,plain,
( multiplication(addition(X_249,one),X_387) != multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one)))))
| multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))) = multiplication(addition(X_249,one),X_387) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(multiplication(addition(X_249,one),X_387))),bind(Y,$fot(multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one)))))))]]) ).
cnf(refute_0_419,plain,
multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))) = multiplication(addition(X_249,one),X_387),
inference(resolve,[$cnf( $equal(multiplication(addition(X_249,one),X_387),multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one)))))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
( multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))) != addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one))))))
| multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))) != multiplication(addition(X_249,one),X_387)
| multiplication(addition(X_249,one),X_387) = addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))),addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one))))))) ),[0],$fot(multiplication(addition(X_249,one),X_387))]]) ).
cnf(refute_0_421,plain,
( multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))) != addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one))))))
| multiplication(addition(X_249,one),X_387) = addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))),multiplication(addition(X_249,one),X_387)) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
multiplication(addition(X_249,one),X_387) = addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_249,one),addition(X_387,coantidomain(codomain(addition(X_249,one))))),addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one))))))) )],[refute_0_357,refute_0_421]) ).
cnf(refute_0_423,plain,
addition(X_387,zero) = X_387,
inference(subst,[],[refute_0_1:[bind(A,$fot(X_387))]]) ).
cnf(refute_0_424,plain,
multiplication(one,coantidomain(one)) = coantidomain(one),
inference(subst,[],[refute_0_148:[bind(A,$fot(coantidomain(one)))]]) ).
cnf(refute_0_425,plain,
multiplication(one,coantidomain(one)) = zero,
inference(subst,[],[refute_0_361:[bind(X0,$fot(one))]]) ).
cnf(refute_0_426,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| multiplication(one,coantidomain(one)) != zero
| zero = coantidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_427,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| zero = coantidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
zero = coantidomain(one),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
( zero != coantidomain(one)
| coantidomain(one) = zero ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero)),bind(Y,$fot(coantidomain(one)))]]) ).
cnf(refute_0_430,plain,
coantidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,coantidomain(one)) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) = one,
inference(subst,[],[refute_0_385:[bind(X0,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_432,plain,
( addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) != one
| coantidomain(coantidomain(X0)) != codomain(X0)
| addition(codomain(X0),codomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))),one) ),[0,0],$fot(codomain(X0))]]) ).
cnf(refute_0_433,plain,
( addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) != one
| addition(codomain(X0),codomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_378,refute_0_432]) ).
cnf(refute_0_434,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))),one) )],[refute_0_431,refute_0_433]) ).
cnf(refute_0_435,plain,
codomain(coantidomain(X_10)) = coantidomain(coantidomain(coantidomain(X_10))),
inference(subst,[],[refute_0_376:[bind(X0,$fot(coantidomain(X_10)))]]) ).
cnf(refute_0_436,plain,
codomain(X_10) = coantidomain(coantidomain(X_10)),
inference(subst,[],[refute_0_376:[bind(X0,$fot(X_10))]]) ).
cnf(refute_0_437,plain,
( codomain(X_10) != coantidomain(coantidomain(X_10))
| coantidomain(coantidomain(X_10)) = codomain(X_10) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(codomain(X_10))),bind(Y,$fot(coantidomain(coantidomain(X_10))))]]) ).
cnf(refute_0_438,plain,
coantidomain(coantidomain(X_10)) = codomain(X_10),
inference(resolve,[$cnf( $equal(codomain(X_10),coantidomain(coantidomain(X_10))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
( coantidomain(coantidomain(X_10)) != codomain(X_10)
| codomain(coantidomain(X_10)) != coantidomain(coantidomain(coantidomain(X_10)))
| codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_10)),coantidomain(coantidomain(coantidomain(X_10)))) ),[1,0],$fot(codomain(X_10))]]) ).
cnf(refute_0_440,plain,
( codomain(coantidomain(X_10)) != coantidomain(coantidomain(coantidomain(X_10)))
| codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_10)),codomain(X_10)) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_10)),coantidomain(coantidomain(coantidomain(X_10)))) )],[refute_0_435,refute_0_440]) ).
cnf(refute_0_442,plain,
codomain(coantidomain(X0)) = coantidomain(codomain(X0)),
inference(subst,[],[refute_0_441:[bind(X_10,$fot(X0))]]) ).
cnf(refute_0_443,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),codomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(codomain(X0),codomain(coantidomain(X0))))]]) ).
cnf(refute_0_444,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),codomain(coantidomain(X0)))
| codomain(coantidomain(X0)) != coantidomain(codomain(X0))
| addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) ),[1,1],$fot(coantidomain(codomain(X0)))]]) ).
cnf(refute_0_445,plain,
( codomain(coantidomain(X0)) != coantidomain(codomain(X0))
| addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X0)),coantidomain(codomain(X0))) )],[refute_0_442,refute_0_445]) ).
cnf(refute_0_447,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),coantidomain(codomain(X0)))
| addition(codomain(X0),codomain(coantidomain(X0))) != one
| addition(codomain(X0),coantidomain(codomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) ),[0],$fot(addition(codomain(X0),coantidomain(codomain(X0))))]]) ).
cnf(refute_0_448,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != one
| addition(codomain(X0),coantidomain(codomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),coantidomain(codomain(X0)))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
addition(codomain(X0),coantidomain(codomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) )],[refute_0_434,refute_0_448]) ).
cnf(refute_0_450,plain,
addition(codomain(addition(X_259,one)),coantidomain(codomain(addition(X_259,one)))) = one,
inference(subst,[],[refute_0_449:[bind(X0,$fot(addition(X_259,one)))]]) ).
cnf(refute_0_451,plain,
multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) = addition(coantidomain(codomain(addition(X_258,one))),multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one))))),
inference(subst,[],[refute_0_293:[bind(X_249,$fot(addition(one,X_258))),bind(X_251,$fot(coantidomain(codomain(addition(X_258,one)))))]]) ).
cnf(refute_0_452,plain,
multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))) = addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one))))),
inference(subst,[],[refute_0_293:[bind(X_249,$fot(X_256)),bind(X_251,$fot(coantidomain(codomain(addition(X_256,one)))))]]) ).
cnf(refute_0_453,plain,
multiplication(X_166,multiplication(codomain(X_166),coantidomain(codomain(X_166)))) = multiplication(X_166,coantidomain(codomain(X_166))),
inference(subst,[],[refute_0_399:[bind(X_158,$fot(X_166)),bind(X_160,$fot(coantidomain(codomain(X_166))))]]) ).
cnf(refute_0_454,plain,
multiplication(codomain(X_166),coantidomain(codomain(X_166))) = zero,
inference(subst,[],[refute_0_361:[bind(X0,$fot(codomain(X_166)))]]) ).
cnf(refute_0_455,plain,
( multiplication(X_166,multiplication(codomain(X_166),coantidomain(codomain(X_166)))) != multiplication(X_166,coantidomain(codomain(X_166)))
| multiplication(codomain(X_166),coantidomain(codomain(X_166))) != zero
| multiplication(X_166,zero) = multiplication(X_166,coantidomain(codomain(X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_166,multiplication(codomain(X_166),coantidomain(codomain(X_166)))),multiplication(X_166,coantidomain(codomain(X_166)))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_456,plain,
( multiplication(X_166,multiplication(codomain(X_166),coantidomain(codomain(X_166)))) != multiplication(X_166,coantidomain(codomain(X_166)))
| multiplication(X_166,zero) = multiplication(X_166,coantidomain(codomain(X_166))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_166),coantidomain(codomain(X_166))),zero) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
multiplication(X_166,zero) = multiplication(X_166,coantidomain(codomain(X_166))),
inference(resolve,[$cnf( $equal(multiplication(X_166,multiplication(codomain(X_166),coantidomain(codomain(X_166)))),multiplication(X_166,coantidomain(codomain(X_166)))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
multiplication(X_166,zero) = zero,
inference(subst,[],[refute_0_256:[bind(A,$fot(X_166))]]) ).
cnf(refute_0_459,plain,
( multiplication(X_166,zero) != multiplication(X_166,coantidomain(codomain(X_166)))
| multiplication(X_166,zero) != zero
| zero = multiplication(X_166,coantidomain(codomain(X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_166,zero),multiplication(X_166,coantidomain(codomain(X_166)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_460,plain,
( multiplication(X_166,zero) != multiplication(X_166,coantidomain(codomain(X_166)))
| zero = multiplication(X_166,coantidomain(codomain(X_166))) ),
inference(resolve,[$cnf( $equal(multiplication(X_166,zero),zero) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
zero = multiplication(X_166,coantidomain(codomain(X_166))),
inference(resolve,[$cnf( $equal(multiplication(X_166,zero),multiplication(X_166,coantidomain(codomain(X_166)))) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
zero = multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))),
inference(subst,[],[refute_0_461:[bind(X_166,$fot(addition(X_256,one)))]]) ).
cnf(refute_0_463,plain,
( zero != multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one))))
| multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))) = zero ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one))))))]]) ).
cnf(refute_0_464,plain,
multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one))))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
( multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))) != addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one)))))
| multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))) != zero
| zero = addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))),addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one)))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_466,plain,
( multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))) != addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one)))))
| zero = addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one))))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))),zero) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
zero = addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one))))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_256,one),coantidomain(codomain(addition(X_256,one)))),addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one)))))) )],[refute_0_452,refute_0_466]) ).
cnf(refute_0_468,plain,
multiplication(addition(X_256,one),X_257) = addition(X_257,multiplication(X_256,X_257)),
inference(subst,[],[refute_0_293:[bind(X_249,$fot(X_256)),bind(X_251,$fot(X_257))]]) ).
cnf(refute_0_469,plain,
( addition(X_256,one) != addition(one,X_256)
| multiplication(addition(X_256,one),X_257) != addition(X_257,multiplication(X_256,X_257))
| multiplication(addition(one,X_256),X_257) = addition(X_257,multiplication(X_256,X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_256,one),X_257),addition(X_257,multiplication(X_256,X_257))) ),[0,0],$fot(addition(one,X_256))]]) ).
cnf(refute_0_470,plain,
( multiplication(addition(X_256,one),X_257) != addition(X_257,multiplication(X_256,X_257))
| multiplication(addition(one,X_256),X_257) = addition(X_257,multiplication(X_256,X_257)) ),
inference(resolve,[$cnf( $equal(addition(X_256,one),addition(one,X_256)) )],[refute_0_339,refute_0_469]) ).
cnf(refute_0_471,plain,
multiplication(addition(one,X_256),X_257) = addition(X_257,multiplication(X_256,X_257)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_256,one),X_257),addition(X_257,multiplication(X_256,X_257))) )],[refute_0_468,refute_0_470]) ).
cnf(refute_0_472,plain,
( multiplication(addition(one,X_256),X_257) != addition(X_257,multiplication(X_256,X_257))
| addition(X_257,multiplication(X_256,X_257)) = multiplication(addition(one,X_256),X_257) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(multiplication(addition(one,X_256),X_257))),bind(Y,$fot(addition(X_257,multiplication(X_256,X_257))))]]) ).
cnf(refute_0_473,plain,
addition(X_257,multiplication(X_256,X_257)) = multiplication(addition(one,X_256),X_257),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_256),X_257),addition(X_257,multiplication(X_256,X_257))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one))))) = multiplication(addition(one,X_256),coantidomain(codomain(addition(X_256,one)))),
inference(subst,[],[refute_0_473:[bind(X_257,$fot(coantidomain(codomain(addition(X_256,one)))))]]) ).
cnf(refute_0_475,plain,
( addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one))))) != multiplication(addition(one,X_256),coantidomain(codomain(addition(X_256,one))))
| zero != addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one)))))
| zero = multiplication(addition(one,X_256),coantidomain(codomain(addition(X_256,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one)))))) ),[1],$fot(multiplication(addition(one,X_256),coantidomain(codomain(addition(X_256,one)))))]]) ).
cnf(refute_0_476,plain,
( zero != addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one)))))
| zero = multiplication(addition(one,X_256),coantidomain(codomain(addition(X_256,one)))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one))))),multiplication(addition(one,X_256),coantidomain(codomain(addition(X_256,one))))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
zero = multiplication(addition(one,X_256),coantidomain(codomain(addition(X_256,one)))),
inference(resolve,[$cnf( $equal(zero,addition(coantidomain(codomain(addition(X_256,one))),multiplication(X_256,coantidomain(codomain(addition(X_256,one)))))) )],[refute_0_467,refute_0_476]) ).
cnf(refute_0_478,plain,
zero = multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))),
inference(subst,[],[refute_0_477:[bind(X_256,$fot(X_258))]]) ).
cnf(refute_0_479,plain,
( zero != multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one))))
| multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))) = zero ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one))))))]]) ).
cnf(refute_0_480,plain,
multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one))))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
( multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) != addition(coantidomain(codomain(addition(X_258,one))),multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))))
| multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))) != zero
| multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) = addition(coantidomain(codomain(addition(X_258,one))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))),addition(coantidomain(codomain(addition(X_258,one))),multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_482,plain,
( multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) != addition(coantidomain(codomain(addition(X_258,one))),multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))))
| multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) = addition(coantidomain(codomain(addition(X_258,one))),zero) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))),zero) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) = addition(coantidomain(codomain(addition(X_258,one))),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))),addition(coantidomain(codomain(addition(X_258,one))),multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))))) )],[refute_0_451,refute_0_482]) ).
cnf(refute_0_484,plain,
addition(X_145,addition(X_145,X_146)) = addition(addition(X_145,X_145),X_146),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_145)),bind(B,$fot(X_145)),bind(C,$fot(X_146))]]) ).
cnf(refute_0_485,plain,
addition(X_145,X_145) = X_145,
inference(subst,[],[refute_0_79:[bind(A,$fot(X_145))]]) ).
cnf(refute_0_486,plain,
( addition(X_145,X_145) != X_145
| addition(X_145,addition(X_145,X_146)) != addition(addition(X_145,X_145),X_146)
| addition(X_145,addition(X_145,X_146)) = addition(X_145,X_146) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_145,addition(X_145,X_146)),addition(addition(X_145,X_145),X_146)) ),[1,0],$fot(X_145)]]) ).
cnf(refute_0_487,plain,
( addition(X_145,addition(X_145,X_146)) != addition(addition(X_145,X_145),X_146)
| addition(X_145,addition(X_145,X_146)) = addition(X_145,X_146) ),
inference(resolve,[$cnf( $equal(addition(X_145,X_145),X_145) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
addition(X_145,addition(X_145,X_146)) = addition(X_145,X_146),
inference(resolve,[$cnf( $equal(addition(X_145,addition(X_145,X_146)),addition(addition(X_145,X_145),X_146)) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
addition(one,addition(one,X_258)) = addition(one,X_258),
inference(subst,[],[refute_0_488:[bind(X_145,$fot(one)),bind(X_146,$fot(X_258))]]) ).
cnf(refute_0_490,plain,
multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) = multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))))]]) ).
cnf(refute_0_491,plain,
( addition(one,addition(one,X_258)) != addition(one,X_258)
| multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) != multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one))))
| multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) = multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))),multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one))))) ),[1,0],$fot(addition(one,X_258))]]) ).
cnf(refute_0_492,plain,
( addition(one,addition(one,X_258)) != addition(one,X_258)
| multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) = multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))),multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one))))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) = multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_258)),addition(one,X_258)) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
( multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))) != zero
| multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) != multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one))))
| multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) = zero ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))))),bind(Y,$fot(multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_495,plain,
( multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))) != zero
| multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))),multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one))))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_258),coantidomain(codomain(addition(X_258,one)))),zero) )],[refute_0_480,refute_0_495]) ).
cnf(refute_0_497,plain,
addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) = addition(multiplication(X_249,X_251),multiplication(X_250,X_251)),
inference(subst,[],[refute_0_25:[bind(A,$fot(multiplication(X_250,X_251))),bind(B,$fot(multiplication(X_249,X_251)))]]) ).
cnf(refute_0_498,plain,
multiplication(addition(X_249,X_250),X_251) = addition(multiplication(X_249,X_251),multiplication(X_250,X_251)),
inference(subst,[],[refute_0_284:[bind(A,$fot(X_249)),bind(B,$fot(X_250)),bind(C,$fot(X_251))]]) ).
cnf(refute_0_499,plain,
( multiplication(addition(X_249,X_250),X_251) != addition(multiplication(X_249,X_251),multiplication(X_250,X_251))
| addition(multiplication(X_249,X_251),multiplication(X_250,X_251)) = multiplication(addition(X_249,X_250),X_251) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(multiplication(addition(X_249,X_250),X_251))),bind(Y,$fot(addition(multiplication(X_249,X_251),multiplication(X_250,X_251))))]]) ).
cnf(refute_0_500,plain,
addition(multiplication(X_249,X_251),multiplication(X_250,X_251)) = multiplication(addition(X_249,X_250),X_251),
inference(resolve,[$cnf( $equal(multiplication(addition(X_249,X_250),X_251),addition(multiplication(X_249,X_251),multiplication(X_250,X_251))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
( addition(multiplication(X_249,X_251),multiplication(X_250,X_251)) != multiplication(addition(X_249,X_250),X_251)
| addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) != addition(multiplication(X_249,X_251),multiplication(X_250,X_251))
| addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) = multiplication(addition(X_249,X_250),X_251) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_250,X_251),multiplication(X_249,X_251)),addition(multiplication(X_249,X_251),multiplication(X_250,X_251))) ),[1],$fot(multiplication(addition(X_249,X_250),X_251))]]) ).
cnf(refute_0_502,plain,
( addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) != addition(multiplication(X_249,X_251),multiplication(X_250,X_251))
| addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) = multiplication(addition(X_249,X_250),X_251) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_249,X_251),multiplication(X_250,X_251)),multiplication(addition(X_249,X_250),X_251)) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) = multiplication(addition(X_249,X_250),X_251),
inference(resolve,[$cnf( $equal(addition(multiplication(X_250,X_251),multiplication(X_249,X_251)),addition(multiplication(X_249,X_251),multiplication(X_250,X_251))) )],[refute_0_497,refute_0_502]) ).
cnf(refute_0_504,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_505,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_284,refute_0_504]) ).
cnf(refute_0_506,plain,
addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) = multiplication(addition(X_250,X_249),X_251),
inference(subst,[],[refute_0_505:[bind(A,$fot(X_250)),bind(B,$fot(X_249)),bind(C,$fot(X_251))]]) ).
cnf(refute_0_507,plain,
( addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) != multiplication(addition(X_249,X_250),X_251)
| addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) != multiplication(addition(X_250,X_249),X_251)
| multiplication(addition(X_250,X_249),X_251) = multiplication(addition(X_249,X_250),X_251) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_250,X_251),multiplication(X_249,X_251)),multiplication(addition(X_249,X_250),X_251)) ),[0],$fot(multiplication(addition(X_250,X_249),X_251))]]) ).
cnf(refute_0_508,plain,
( addition(multiplication(X_250,X_251),multiplication(X_249,X_251)) != multiplication(addition(X_249,X_250),X_251)
| multiplication(addition(X_250,X_249),X_251) = multiplication(addition(X_249,X_250),X_251) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_250,X_251),multiplication(X_249,X_251)),multiplication(addition(X_250,X_249),X_251)) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
multiplication(addition(X_250,X_249),X_251) = multiplication(addition(X_249,X_250),X_251),
inference(resolve,[$cnf( $equal(addition(multiplication(X_250,X_251),multiplication(X_249,X_251)),multiplication(addition(X_249,X_250),X_251)) )],[refute_0_503,refute_0_508]) ).
cnf(refute_0_510,plain,
( multiplication(addition(X_250,X_249),X_251) != multiplication(addition(X_249,X_250),X_251)
| multiplication(addition(X_249,X_250),X_251) = multiplication(addition(X_250,X_249),X_251) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(multiplication(addition(X_250,X_249),X_251))),bind(Y,$fot(multiplication(addition(X_249,X_250),X_251)))]]) ).
cnf(refute_0_511,plain,
multiplication(addition(X_249,X_250),X_251) = multiplication(addition(X_250,X_249),X_251),
inference(resolve,[$cnf( $equal(multiplication(addition(X_250,X_249),X_251),multiplication(addition(X_249,X_250),X_251)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) = multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))),
inference(subst,[],[refute_0_511:[bind(X_249,$fot(addition(one,X_258))),bind(X_250,$fot(one)),bind(X_251,$fot(coantidomain(codomain(addition(X_258,one)))))]]) ).
cnf(refute_0_513,plain,
( multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) != multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one))))
| multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) != zero
| multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) = zero ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))))),bind(Y,$fot(multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_514,plain,
( multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))) != zero
| multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))),multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one))))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(one,X_258)),coantidomain(codomain(addition(X_258,one)))),zero) )],[refute_0_496,refute_0_514]) ).
cnf(refute_0_516,plain,
( multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) != addition(coantidomain(codomain(addition(X_258,one))),zero)
| multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) != zero
| zero = addition(coantidomain(codomain(addition(X_258,one))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))),addition(coantidomain(codomain(addition(X_258,one))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_517,plain,
( multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) != addition(coantidomain(codomain(addition(X_258,one))),zero)
| zero = addition(coantidomain(codomain(addition(X_258,one))),zero) ),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))),zero) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
addition(coantidomain(codomain(addition(X_258,one))),zero) = coantidomain(codomain(addition(X_258,one))),
inference(subst,[],[refute_0_1:[bind(A,$fot(coantidomain(codomain(addition(X_258,one)))))]]) ).
cnf(refute_0_519,plain,
( addition(coantidomain(codomain(addition(X_258,one))),zero) != coantidomain(codomain(addition(X_258,one)))
| zero != addition(coantidomain(codomain(addition(X_258,one))),zero)
| zero = coantidomain(codomain(addition(X_258,one))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,addition(coantidomain(codomain(addition(X_258,one))),zero)) ),[1],$fot(coantidomain(codomain(addition(X_258,one))))]]) ).
cnf(refute_0_520,plain,
( zero != addition(coantidomain(codomain(addition(X_258,one))),zero)
| zero = coantidomain(codomain(addition(X_258,one))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(addition(X_258,one))),zero),coantidomain(codomain(addition(X_258,one)))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
( multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))) != addition(coantidomain(codomain(addition(X_258,one))),zero)
| zero = coantidomain(codomain(addition(X_258,one))) ),
inference(resolve,[$cnf( $equal(zero,addition(coantidomain(codomain(addition(X_258,one))),zero)) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
zero = coantidomain(codomain(addition(X_258,one))),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(one,X_258),one),coantidomain(codomain(addition(X_258,one)))),addition(coantidomain(codomain(addition(X_258,one))),zero)) )],[refute_0_483,refute_0_521]) ).
cnf(refute_0_523,plain,
zero = coantidomain(codomain(addition(X_259,one))),
inference(subst,[],[refute_0_522:[bind(X_258,$fot(X_259))]]) ).
cnf(refute_0_524,plain,
( zero != coantidomain(codomain(addition(X_259,one)))
| coantidomain(codomain(addition(X_259,one))) = zero ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero)),bind(Y,$fot(coantidomain(codomain(addition(X_259,one)))))]]) ).
cnf(refute_0_525,plain,
coantidomain(codomain(addition(X_259,one))) = zero,
inference(resolve,[$cnf( $equal(zero,coantidomain(codomain(addition(X_259,one)))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
( addition(codomain(addition(X_259,one)),coantidomain(codomain(addition(X_259,one)))) != one
| coantidomain(codomain(addition(X_259,one))) != zero
| addition(codomain(addition(X_259,one)),zero) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(addition(X_259,one)),coantidomain(codomain(addition(X_259,one)))),one) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_527,plain,
( addition(codomain(addition(X_259,one)),coantidomain(codomain(addition(X_259,one)))) != one
| addition(codomain(addition(X_259,one)),zero) = one ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(addition(X_259,one))),zero) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
addition(codomain(addition(X_259,one)),zero) = one,
inference(resolve,[$cnf( $equal(addition(codomain(addition(X_259,one)),coantidomain(codomain(addition(X_259,one)))),one) )],[refute_0_450,refute_0_527]) ).
cnf(refute_0_529,plain,
addition(codomain(addition(X_259,one)),zero) = codomain(addition(X_259,one)),
inference(subst,[],[refute_0_1:[bind(A,$fot(codomain(addition(X_259,one))))]]) ).
cnf(refute_0_530,plain,
( addition(codomain(addition(X_259,one)),zero) != codomain(addition(X_259,one))
| addition(codomain(addition(X_259,one)),zero) != one
| codomain(addition(X_259,one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(addition(X_259,one)),zero),one) ),[0],$fot(codomain(addition(X_259,one)))]]) ).
cnf(refute_0_531,plain,
( addition(codomain(addition(X_259,one)),zero) != one
| codomain(addition(X_259,one)) = one ),
inference(resolve,[$cnf( $equal(addition(codomain(addition(X_259,one)),zero),codomain(addition(X_259,one))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
codomain(addition(X_259,one)) = one,
inference(resolve,[$cnf( $equal(addition(codomain(addition(X_259,one)),zero),one) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
codomain(addition(X_249,one)) = one,
inference(subst,[],[refute_0_532:[bind(X_259,$fot(X_249))]]) ).
cnf(refute_0_534,plain,
coantidomain(codomain(addition(X_249,one))) = coantidomain(codomain(addition(X_249,one))),
introduced(tautology,[refl,[$fot(coantidomain(codomain(addition(X_249,one))))]]) ).
cnf(refute_0_535,plain,
( coantidomain(codomain(addition(X_249,one))) != coantidomain(codomain(addition(X_249,one)))
| codomain(addition(X_249,one)) != one
| coantidomain(codomain(addition(X_249,one))) = coantidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(codomain(addition(X_249,one))),coantidomain(codomain(addition(X_249,one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_536,plain,
( codomain(addition(X_249,one)) != one
| coantidomain(codomain(addition(X_249,one))) = coantidomain(one) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(addition(X_249,one))),coantidomain(codomain(addition(X_249,one)))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
coantidomain(codomain(addition(X_249,one))) = coantidomain(one),
inference(resolve,[$cnf( $equal(codomain(addition(X_249,one)),one) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
( coantidomain(codomain(addition(X_249,one))) != coantidomain(one)
| coantidomain(one) != zero
| coantidomain(codomain(addition(X_249,one))) = zero ),
inference(subst,[],[refute_0_64:[bind(X,$fot(coantidomain(codomain(addition(X_249,one))))),bind(Y,$fot(coantidomain(one))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_539,plain,
( coantidomain(one) != zero
| coantidomain(codomain(addition(X_249,one))) = zero ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(addition(X_249,one))),coantidomain(one)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
coantidomain(codomain(addition(X_249,one))) = zero,
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_430,refute_0_539]) ).
cnf(refute_0_541,plain,
addition(X_387,coantidomain(codomain(addition(X_249,one)))) = addition(X_387,coantidomain(codomain(addition(X_249,one)))),
introduced(tautology,[refl,[$fot(addition(X_387,coantidomain(codomain(addition(X_249,one)))))]]) ).
cnf(refute_0_542,plain,
( addition(X_387,coantidomain(codomain(addition(X_249,one)))) != addition(X_387,coantidomain(codomain(addition(X_249,one))))
| coantidomain(codomain(addition(X_249,one))) != zero
| addition(X_387,coantidomain(codomain(addition(X_249,one)))) = addition(X_387,zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_387,coantidomain(codomain(addition(X_249,one)))),addition(X_387,coantidomain(codomain(addition(X_249,one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_543,plain,
( coantidomain(codomain(addition(X_249,one))) != zero
| addition(X_387,coantidomain(codomain(addition(X_249,one)))) = addition(X_387,zero) ),
inference(resolve,[$cnf( $equal(addition(X_387,coantidomain(codomain(addition(X_249,one)))),addition(X_387,coantidomain(codomain(addition(X_249,one))))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
addition(X_387,coantidomain(codomain(addition(X_249,one)))) = addition(X_387,zero),
inference(resolve,[$cnf( $equal(coantidomain(codomain(addition(X_249,one))),zero) )],[refute_0_540,refute_0_543]) ).
cnf(refute_0_545,plain,
( addition(X_387,coantidomain(codomain(addition(X_249,one)))) != addition(X_387,zero)
| addition(X_387,zero) != X_387
| addition(X_387,coantidomain(codomain(addition(X_249,one)))) = X_387 ),
inference(subst,[],[refute_0_64:[bind(X,$fot(addition(X_387,coantidomain(codomain(addition(X_249,one)))))),bind(Y,$fot(addition(X_387,zero))),bind(Z,$fot(X_387))]]) ).
cnf(refute_0_546,plain,
( addition(X_387,zero) != X_387
| addition(X_387,coantidomain(codomain(addition(X_249,one)))) = X_387 ),
inference(resolve,[$cnf( $equal(addition(X_387,coantidomain(codomain(addition(X_249,one)))),addition(X_387,zero)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
addition(X_387,coantidomain(codomain(addition(X_249,one)))) = X_387,
inference(resolve,[$cnf( $equal(addition(X_387,zero),X_387) )],[refute_0_423,refute_0_546]) ).
cnf(refute_0_548,plain,
multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))) = multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))))]]) ).
cnf(refute_0_549,plain,
( addition(X_387,coantidomain(codomain(addition(X_249,one)))) != X_387
| multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))) != multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one)))))
| multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))) = multiplication(addition(one,X_249),X_387) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))),multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one)))))) ),[1,1],$fot(X_387)]]) ).
cnf(refute_0_550,plain,
( addition(X_387,coantidomain(codomain(addition(X_249,one)))) != X_387
| multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))) = multiplication(addition(one,X_249),X_387) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))),multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one)))))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))) = multiplication(addition(one,X_249),X_387),
inference(resolve,[$cnf( $equal(addition(X_387,coantidomain(codomain(addition(X_249,one)))),X_387) )],[refute_0_547,refute_0_550]) ).
cnf(refute_0_552,plain,
addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))) = multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))),
inference(subst,[],[refute_0_473:[bind(X_256,$fot(X_249)),bind(X_257,$fot(addition(X_387,coantidomain(codomain(addition(X_249,one))))))]]) ).
cnf(refute_0_553,plain,
( addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))) != multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one)))))
| multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))) != multiplication(addition(one,X_249),X_387)
| addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))) = multiplication(addition(one,X_249),X_387) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))))),bind(Y,$fot(multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))))),bind(Z,$fot(multiplication(addition(one,X_249),X_387)))]]) ).
cnf(refute_0_554,plain,
( multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))) != multiplication(addition(one,X_249),X_387)
| addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))) = multiplication(addition(one,X_249),X_387) ),
inference(resolve,[$cnf( $equal(addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))),multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one)))))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))) = multiplication(addition(one,X_249),X_387),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_249),addition(X_387,coantidomain(codomain(addition(X_249,one))))),multiplication(addition(one,X_249),X_387)) )],[refute_0_551,refute_0_554]) ).
cnf(refute_0_556,plain,
( addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))) != multiplication(addition(one,X_249),X_387)
| multiplication(addition(X_249,one),X_387) != addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one))))))
| multiplication(addition(X_249,one),X_387) = multiplication(addition(one,X_249),X_387) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_249,one),X_387),addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one))))))) ),[1],$fot(multiplication(addition(one,X_249),X_387))]]) ).
cnf(refute_0_557,plain,
( multiplication(addition(X_249,one),X_387) != addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one))))))
| multiplication(addition(X_249,one),X_387) = multiplication(addition(one,X_249),X_387) ),
inference(resolve,[$cnf( $equal(addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one)))))),multiplication(addition(one,X_249),X_387)) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
multiplication(addition(X_249,one),X_387) = multiplication(addition(one,X_249),X_387),
inference(resolve,[$cnf( $equal(multiplication(addition(X_249,one),X_387),addition(addition(X_387,coantidomain(codomain(addition(X_249,one)))),multiplication(X_249,addition(X_387,coantidomain(codomain(addition(X_249,one))))))) )],[refute_0_422,refute_0_557]) ).
cnf(refute_0_559,plain,
multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) = multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_558:[bind(X_249,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),bind(X_387,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_560,plain,
( multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) != multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2))
| multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) != c(skolemFOFtoCNF_X2)
| multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) = c(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)))),bind(Y,$fot(multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)))),bind(Z,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_561,plain,
( multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) != c(skolemFOFtoCNF_X2)
| multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) = c(skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)),multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) = c(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) )],[refute_0_356,refute_0_561]) ).
cnf(refute_0_563,plain,
( multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) != addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) != c(skolemFOFtoCNF_X2)
| c(skolemFOFtoCNF_X2) = addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) ),[0],$fot(c(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_564,plain,
( multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)) != addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| c(skolemFOFtoCNF_X2) = addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
c(skolemFOFtoCNF_X2) = addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),one),c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) )],[refute_0_316,refute_0_564]) ).
cnf(refute_0_566,plain,
( c(skolemFOFtoCNF_X2) != addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = c(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(skolemFOFtoCNF_X2))),bind(Y,$fot(addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))))]]) ).
cnf(refute_0_567,plain,
addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = c(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X2),addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
( addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != c(skolemFOFtoCNF_X2)
| multiplication(antidomain(c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) ),[0,1],$fot(c(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_569,plain,
( multiplication(antidomain(c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),c(skolemFOFtoCNF_X2)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) )],[refute_0_283,refute_0_569]) ).
cnf(refute_0_571,plain,
multiplication(antidomain(antidomain(X_5)),antidomain(X_5)) = zero,
inference(subst,[],[refute_0_119:[bind(X0,$fot(antidomain(X_5)))]]) ).
cnf(refute_0_572,plain,
( antidomain(antidomain(X_5)) != domain(X_5)
| multiplication(antidomain(antidomain(X_5)),antidomain(X_5)) != zero
| multiplication(domain(X_5),antidomain(X_5)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(X_5)),antidomain(X_5)),zero) ),[0,0],$fot(domain(X_5))]]) ).
cnf(refute_0_573,plain,
( multiplication(antidomain(antidomain(X_5)),antidomain(X_5)) != zero
| multiplication(domain(X_5),antidomain(X_5)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_5)),domain(X_5)) )],[refute_0_45,refute_0_572]) ).
cnf(refute_0_574,plain,
multiplication(domain(X_5),antidomain(X_5)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X_5)),antidomain(X_5)),zero) )],[refute_0_571,refute_0_573]) ).
cnf(refute_0_575,plain,
( domain_difference(X0,X1) != multiplication(domain(X0),antidomain(X1))
| multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain_difference(X0,X1))),bind(Y,$fot(multiplication(domain(X0),antidomain(X1))))]]) ).
cnf(refute_0_576,plain,
multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(resolve,[$cnf( $equal(domain_difference(X0,X1),multiplication(domain(X0),antidomain(X1))) )],[refute_0_155,refute_0_575]) ).
cnf(refute_0_577,plain,
multiplication(domain(X_5),antidomain(X_5)) = domain_difference(X_5,X_5),
inference(subst,[],[refute_0_576:[bind(X0,$fot(X_5)),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_578,plain,
( multiplication(domain(X_5),antidomain(X_5)) != domain_difference(X_5,X_5)
| multiplication(domain(X_5),antidomain(X_5)) != zero
| domain_difference(X_5,X_5) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_5),antidomain(X_5)),zero) ),[0],$fot(domain_difference(X_5,X_5))]]) ).
cnf(refute_0_579,plain,
( multiplication(domain(X_5),antidomain(X_5)) != zero
| domain_difference(X_5,X_5) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_5),antidomain(X_5)),domain_difference(X_5,X_5)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
domain_difference(X_5,X_5) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(X_5),antidomain(X_5)),zero) )],[refute_0_574,refute_0_579]) ).
cnf(refute_0_581,plain,
domain_difference(domain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)) = zero,
inference(subst,[],[refute_0_580:[bind(X_5,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_582,plain,
domain_difference(X_23,domain(X0)) = multiplication(domain(X_23),antidomain(domain(X0))),
inference(subst,[],[refute_0_155:[bind(X0,$fot(X_23)),bind(X1,$fot(domain(X0)))]]) ).
cnf(refute_0_583,plain,
( antidomain(domain(X0)) != c(X0)
| domain_difference(X_23,domain(X0)) != multiplication(domain(X_23),antidomain(domain(X0)))
| domain_difference(X_23,domain(X0)) = multiplication(domain(X_23),c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X_23,domain(X0)),multiplication(domain(X_23),antidomain(domain(X0)))) ),[1,1],$fot(c(X0))]]) ).
cnf(refute_0_584,plain,
( domain_difference(X_23,domain(X0)) != multiplication(domain(X_23),antidomain(domain(X0)))
| domain_difference(X_23,domain(X0)) = multiplication(domain(X_23),c(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_50,refute_0_583]) ).
cnf(refute_0_585,plain,
domain_difference(X_23,domain(X0)) = multiplication(domain(X_23),c(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_23,domain(X0)),multiplication(domain(X_23),antidomain(domain(X0)))) )],[refute_0_582,refute_0_584]) ).
cnf(refute_0_586,plain,
domain_difference(domain(X_8),domain(X_78)) = multiplication(domain(domain(X_8)),c(X_78)),
inference(subst,[],[refute_0_585:[bind(X0,$fot(X_78)),bind(X_23,$fot(domain(X_8)))]]) ).
cnf(refute_0_587,plain,
( domain(domain(X_8)) != antidomain(c(X_8))
| domain_difference(domain(X_8),domain(X_78)) != multiplication(domain(domain(X_8)),c(X_78))
| domain_difference(domain(X_8),domain(X_78)) = multiplication(antidomain(c(X_8)),c(X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X_8),domain(X_78)),multiplication(domain(domain(X_8)),c(X_78))) ),[1,0],$fot(antidomain(c(X_8)))]]) ).
cnf(refute_0_588,plain,
( domain_difference(domain(X_8),domain(X_78)) != multiplication(domain(domain(X_8)),c(X_78))
| domain_difference(domain(X_8),domain(X_78)) = multiplication(antidomain(c(X_8)),c(X_78)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_8)),antidomain(c(X_8))) )],[refute_0_16,refute_0_587]) ).
cnf(refute_0_589,plain,
domain_difference(domain(X_8),domain(X_78)) = multiplication(antidomain(c(X_8)),c(X_78)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_8),domain(X_78)),multiplication(domain(domain(X_8)),c(X_78))) )],[refute_0_586,refute_0_588]) ).
cnf(refute_0_590,plain,
( domain_difference(domain(X_8),domain(X_78)) != multiplication(antidomain(c(X_8)),c(X_78))
| multiplication(antidomain(c(X_8)),c(X_78)) = domain_difference(domain(X_8),domain(X_78)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain_difference(domain(X_8),domain(X_78)))),bind(Y,$fot(multiplication(antidomain(c(X_8)),c(X_78))))]]) ).
cnf(refute_0_591,plain,
multiplication(antidomain(c(X_8)),c(X_78)) = domain_difference(domain(X_8),domain(X_78)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_8),domain(X_78)),multiplication(antidomain(c(X_8)),c(X_78))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = domain_difference(domain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_591:[bind(X_78,$fot(skolemFOFtoCNF_X2)),bind(X_8,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_593,plain,
( domain_difference(domain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)) != zero
| multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) != domain_difference(domain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2))
| multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = zero ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)))),bind(Y,$fot(domain_difference(domain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_594,plain,
( domain_difference(domain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)) != zero
| multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)),domain_difference(domain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = zero,
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)),zero) )],[refute_0_581,refute_0_594]) ).
cnf(refute_0_596,plain,
( multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) != multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) != zero
| zero = multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)),multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_597,plain,
( multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) != multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| zero = multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)),zero) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
domain_difference(domain(X_8),X_24) = multiplication(domain(domain(X_8)),antidomain(X_24)),
inference(subst,[],[refute_0_155:[bind(X0,$fot(domain(X_8))),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_599,plain,
( domain(domain(X_8)) != antidomain(c(X_8))
| domain_difference(domain(X_8),X_24) != multiplication(domain(domain(X_8)),antidomain(X_24))
| domain_difference(domain(X_8),X_24) = multiplication(antidomain(c(X_8)),antidomain(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X_8),X_24),multiplication(domain(domain(X_8)),antidomain(X_24))) ),[1,0],$fot(antidomain(c(X_8)))]]) ).
cnf(refute_0_600,plain,
( domain_difference(domain(X_8),X_24) != multiplication(domain(domain(X_8)),antidomain(X_24))
| domain_difference(domain(X_8),X_24) = multiplication(antidomain(c(X_8)),antidomain(X_24)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_8)),antidomain(c(X_8))) )],[refute_0_16,refute_0_599]) ).
cnf(refute_0_601,plain,
domain_difference(domain(X_8),X_24) = multiplication(antidomain(c(X_8)),antidomain(X_24)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_8),X_24),multiplication(domain(domain(X_8)),antidomain(X_24))) )],[refute_0_598,refute_0_600]) ).
cnf(refute_0_602,plain,
( domain_difference(domain(X_8),X_24) != multiplication(antidomain(c(X_8)),antidomain(X_24))
| multiplication(antidomain(c(X_8)),antidomain(X_24)) = domain_difference(domain(X_8),X_24) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain_difference(domain(X_8),X_24))),bind(Y,$fot(multiplication(antidomain(c(X_8)),antidomain(X_24))))]]) ).
cnf(refute_0_603,plain,
multiplication(antidomain(c(X_8)),antidomain(X_24)) = domain_difference(domain(X_8),X_24),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_8),X_24),multiplication(antidomain(c(X_8)),antidomain(X_24))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_603:[bind(X_24,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),bind(X_8,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_605,plain,
( multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| zero != multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| zero = domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) ),[1],$fot(domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_606,plain,
( zero != multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| zero = domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
( multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) != multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| zero = domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) )],[refute_0_597,refute_0_606]) ).
cnf(refute_0_608,plain,
zero = domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)),multiplication(antidomain(c(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) )],[refute_0_570,refute_0_607]) ).
cnf(refute_0_609,plain,
( zero != domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = zero ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero)),bind(Y,$fot(domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_610,plain,
domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = zero,
inference(resolve,[$cnf( $equal(zero,domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_612,plain,
( domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = forward_diamond(star(skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_613,plain,
( domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = forward_diamond(star(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = forward_diamond(star(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),zero) )],[refute_0_610,refute_0_613]) ).
cnf(refute_0_615,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != forward_diamond(star(skolemFOFtoCNF_X0),zero)
| forward_diamond(star(skolemFOFtoCNF_X0),zero) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = zero ),
inference(subst,[],[refute_0_64:[bind(X,$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))),bind(Y,$fot(forward_diamond(star(skolemFOFtoCNF_X0),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_616,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),zero) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),forward_diamond(star(skolemFOFtoCNF_X0),zero)) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),zero),zero) )],[refute_0_268,refute_0_616]) ).
cnf(refute_0_618,plain,
addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),
introduced(tautology,[refl,[$fot(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))))]]) ).
cnf(refute_0_619,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != zero
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = addition(c(skolemFOFtoCNF_X2),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_620,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) != zero
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = addition(c(skolemFOFtoCNF_X2),zero) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = addition(c(skolemFOFtoCNF_X2),zero),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))),zero) )],[refute_0_617,refute_0_620]) ).
cnf(refute_0_622,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != addition(c(skolemFOFtoCNF_X2),zero)
| addition(c(skolemFOFtoCNF_X2),zero) != c(skolemFOFtoCNF_X2)
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = c(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))))),bind(Y,$fot(addition(c(skolemFOFtoCNF_X2),zero))),bind(Z,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_623,plain,
( addition(c(skolemFOFtoCNF_X2),zero) != c(skolemFOFtoCNF_X2)
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = c(skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),addition(c(skolemFOFtoCNF_X2),zero)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) = c(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),zero),c(skolemFOFtoCNF_X2)) )],[refute_0_113,refute_0_623]) ).
cnf(refute_0_625,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != c(skolemFOFtoCNF_X2)
| addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != one
| c(skolemFOFtoCNF_X2) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),one) ),[0],$fot(c(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_626,plain,
( addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))) != one
| c(skolemFOFtoCNF_X2) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),c(skolemFOFtoCNF_X2)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
c(skolemFOFtoCNF_X2) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),one) )],[refute_0_112,refute_0_626]) ).
cnf(refute_0_628,plain,
( c(skolemFOFtoCNF_X2) != one
| forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) != domain(multiplication(X_38,antidomain(c(skolemFOFtoCNF_X2))))
| forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) = domain(multiplication(X_38,antidomain(one))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_38,domain(skolemFOFtoCNF_X2)),domain(multiplication(X_38,antidomain(c(skolemFOFtoCNF_X2))))) ),[1,0,1,0],$fot(one)]]) ).
cnf(refute_0_629,plain,
( forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) != domain(multiplication(X_38,antidomain(c(skolemFOFtoCNF_X2))))
| forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) = domain(multiplication(X_38,antidomain(one))) ),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X2),one) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) = domain(multiplication(X_38,antidomain(one))),
inference(resolve,[$cnf( $equal(forward_diamond(X_38,domain(skolemFOFtoCNF_X2)),domain(multiplication(X_38,antidomain(c(skolemFOFtoCNF_X2))))) )],[refute_0_20,refute_0_629]) ).
cnf(refute_0_631,plain,
multiplication(X_38,zero) = zero,
inference(subst,[],[refute_0_256:[bind(A,$fot(X_38))]]) ).
cnf(refute_0_632,plain,
multiplication(X_38,antidomain(one)) = multiplication(X_38,antidomain(one)),
introduced(tautology,[refl,[$fot(multiplication(X_38,antidomain(one)))]]) ).
cnf(refute_0_633,plain,
( antidomain(one) != zero
| multiplication(X_38,antidomain(one)) != multiplication(X_38,antidomain(one))
| multiplication(X_38,antidomain(one)) = multiplication(X_38,zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_38,antidomain(one)),multiplication(X_38,antidomain(one))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_634,plain,
( antidomain(one) != zero
| multiplication(X_38,antidomain(one)) = multiplication(X_38,zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_38,antidomain(one)),multiplication(X_38,antidomain(one))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
multiplication(X_38,antidomain(one)) = multiplication(X_38,zero),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_125,refute_0_634]) ).
cnf(refute_0_636,plain,
( multiplication(X_38,antidomain(one)) != multiplication(X_38,zero)
| multiplication(X_38,zero) != zero
| multiplication(X_38,antidomain(one)) = zero ),
inference(subst,[],[refute_0_64:[bind(X,$fot(multiplication(X_38,antidomain(one)))),bind(Y,$fot(multiplication(X_38,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_637,plain,
( multiplication(X_38,zero) != zero
| multiplication(X_38,antidomain(one)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(X_38,antidomain(one)),multiplication(X_38,zero)) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
multiplication(X_38,antidomain(one)) = zero,
inference(resolve,[$cnf( $equal(multiplication(X_38,zero),zero) )],[refute_0_631,refute_0_637]) ).
cnf(refute_0_639,plain,
domain(multiplication(X_38,antidomain(one))) = domain(multiplication(X_38,antidomain(one))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_38,antidomain(one))))]]) ).
cnf(refute_0_640,plain,
( domain(multiplication(X_38,antidomain(one))) != domain(multiplication(X_38,antidomain(one)))
| multiplication(X_38,antidomain(one)) != zero
| domain(multiplication(X_38,antidomain(one))) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_38,antidomain(one))),domain(multiplication(X_38,antidomain(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_641,plain,
( multiplication(X_38,antidomain(one)) != zero
| domain(multiplication(X_38,antidomain(one))) = domain(zero) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_38,antidomain(one))),domain(multiplication(X_38,antidomain(one)))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
domain(multiplication(X_38,antidomain(one))) = domain(zero),
inference(resolve,[$cnf( $equal(multiplication(X_38,antidomain(one)),zero) )],[refute_0_638,refute_0_641]) ).
cnf(refute_0_643,plain,
( domain(multiplication(X_38,antidomain(one))) != domain(zero)
| domain(zero) != zero
| domain(multiplication(X_38,antidomain(one))) = zero ),
inference(subst,[],[refute_0_64:[bind(X,$fot(domain(multiplication(X_38,antidomain(one))))),bind(Y,$fot(domain(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_644,plain,
( domain(zero) != zero
| domain(multiplication(X_38,antidomain(one))) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_38,antidomain(one))),domain(zero)) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
domain(multiplication(X_38,antidomain(one))) = zero,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_252,refute_0_644]) ).
cnf(refute_0_646,plain,
( domain(multiplication(X_38,antidomain(one))) != zero
| forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) != domain(multiplication(X_38,antidomain(one)))
| forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_38,domain(skolemFOFtoCNF_X2)),domain(multiplication(X_38,antidomain(one)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_647,plain,
( forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) != domain(multiplication(X_38,antidomain(one)))
| forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_38,antidomain(one))),zero) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
forward_diamond(X_38,domain(skolemFOFtoCNF_X2)) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(X_38,domain(skolemFOFtoCNF_X2)),domain(multiplication(X_38,antidomain(one)))) )],[refute_0_630,refute_0_647]) ).
cnf(refute_0_649,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)) = zero,
inference(subst,[],[refute_0_648:[bind(X_38,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_650,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),
introduced(tautology,[refl,[$fot(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_651,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)) != zero
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = addition(domain(skolemFOFtoCNF_X2),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_652,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)) != zero
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = addition(domain(skolemFOFtoCNF_X2),zero) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = addition(domain(skolemFOFtoCNF_X2),zero),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),zero) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != addition(domain(skolemFOFtoCNF_X2),zero)
| addition(domain(skolemFOFtoCNF_X2),zero) != domain(skolemFOFtoCNF_X2)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = domain(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_64:[bind(X,$fot(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))))),bind(Y,$fot(addition(domain(skolemFOFtoCNF_X2),zero))),bind(Z,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_655,plain,
( addition(domain(skolemFOFtoCNF_X2),zero) != domain(skolemFOFtoCNF_X2)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = domain(skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),addition(domain(skolemFOFtoCNF_X2),zero)) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) = domain(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),zero),domain(skolemFOFtoCNF_X2)) )],[refute_0_2,refute_0_655]) ).
cnf(refute_0_657,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != domain(skolemFOFtoCNF_X2)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))
| domain(skolemFOFtoCNF_X2) = forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) ),[0],$fot(domain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_658,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))
| domain(skolemFOFtoCNF_X2) = forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),domain(skolemFOFtoCNF_X2)) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
( domain(skolemFOFtoCNF_X2) != forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)) != zero
| domain(skolemFOFtoCNF_X2) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(skolemFOFtoCNF_X2),zero) ),[0],$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_660,plain,
( domain(skolemFOFtoCNF_X2) != forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))
| domain(skolemFOFtoCNF_X2) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2)),zero) )],[refute_0_649,refute_0_659]) ).
cnf(refute_0_661,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) != forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))
| domain(skolemFOFtoCNF_X2) = zero ),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) )],[refute_0_658,refute_0_660]) ).
cnf(refute_0_662,plain,
domain(skolemFOFtoCNF_X2) = zero,
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X2))) )],[refute_0_0,refute_0_661]) ).
cnf(refute_0_663,plain,
domain(skolemFOFtoCNF_X2) != zero,
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_664,plain,
$false,
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X2),zero) )],[refute_0_662,refute_0_663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE132+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 13:13:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.20/3.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.20/3.44
% 3.20/3.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.33/3.51
%------------------------------------------------------------------------------