TSTP Solution File: KLE080+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE080+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 02:15:06 EDT 2022
% Result : Theorem 116.01s 116.21s
% Output : CNFRefutation 116.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 207
% Syntax : Number of formulae : 864 ( 464 unt; 0 def)
% Number of atoms : 1445 (1444 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1160 ( 579 ~; 573 |; 5 &)
% ( 0 <=>; 3 =>; 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 1337 ( 65 sgn 84 !; 2 ?)
% 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(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(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
fof(domain1,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ).
fof(domain2,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ).
fof(domain3,axiom,
! [X0] : addition(domain(X0),one) = one ).
fof(domain4,axiom,
domain(zero) = zero ).
fof(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ).
fof(goals,conjecture,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> antidomain(antidomain(X0)) = domain(X0) ) ).
fof(subgoal_0,plain,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> antidomain(antidomain(X0)) = domain(X0) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> antidomain(antidomain(X0)) = domain(X0) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X0] : antidomain(antidomain(X0)) != domain(X0)
& ! [X1] : addition(domain(X1),antidomain(X1)) = one
& ! [X1] : multiplication(domain(X1),antidomain(X1)) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [X0] : antidomain(antidomain(X0)) != domain(X0),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
antidomain(antidomain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = zero,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = zero,
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_8,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[domain5]) ).
fof(normalize_0_10,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_12,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = one,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_14,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = one,
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_16,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_18,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X0] : addition(domain(X0),one) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_20,plain,
! [X0] : addition(domain(X0),one) = one,
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_22,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_24,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_26,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_28,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_30,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_32,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
domain(zero) = zero,
inference(canonicalize,[],[domain4]) ).
cnf(refute_0_0,plain,
antidomain(antidomain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
multiplication(addition(X_96,domain(X1)),antidomain(X1)) = addition(multiplication(X_96,antidomain(X1)),multiplication(domain(X1),antidomain(X1))),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_96)),bind(B,$fot(domain(X1))),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_3,plain,
multiplication(domain(X1),antidomain(X1)) = zero,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( multiplication(addition(X_96,domain(X1)),antidomain(X1)) != addition(multiplication(X_96,antidomain(X1)),multiplication(domain(X1),antidomain(X1)))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(addition(X_96,domain(X1)),antidomain(X1)) = addition(multiplication(X_96,antidomain(X1)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_96,domain(X1)),antidomain(X1)),addition(multiplication(X_96,antidomain(X1)),multiplication(domain(X1),antidomain(X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5,plain,
( multiplication(addition(X_96,domain(X1)),antidomain(X1)) != addition(multiplication(X_96,antidomain(X1)),multiplication(domain(X1),antidomain(X1)))
| multiplication(addition(X_96,domain(X1)),antidomain(X1)) = addition(multiplication(X_96,antidomain(X1)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
multiplication(addition(X_96,domain(X1)),antidomain(X1)) = addition(multiplication(X_96,antidomain(X1)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_96,domain(X1)),antidomain(X1)),addition(multiplication(X_96,antidomain(X1)),multiplication(domain(X1),antidomain(X1)))) )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_8,plain,
addition(multiplication(X_96,antidomain(X1)),zero) = multiplication(X_96,antidomain(X1)),
inference(subst,[],[refute_0_7:[bind(A,$fot(multiplication(X_96,antidomain(X1))))]]) ).
cnf(refute_0_9,plain,
( addition(multiplication(X_96,antidomain(X1)),zero) != multiplication(X_96,antidomain(X1))
| multiplication(addition(X_96,domain(X1)),antidomain(X1)) != addition(multiplication(X_96,antidomain(X1)),zero)
| multiplication(addition(X_96,domain(X1)),antidomain(X1)) = multiplication(X_96,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_96,domain(X1)),antidomain(X1)),addition(multiplication(X_96,antidomain(X1)),zero)) ),[1],$fot(multiplication(X_96,antidomain(X1)))]]) ).
cnf(refute_0_10,plain,
( multiplication(addition(X_96,domain(X1)),antidomain(X1)) != addition(multiplication(X_96,antidomain(X1)),zero)
| multiplication(addition(X_96,domain(X1)),antidomain(X1)) = multiplication(X_96,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_96,antidomain(X1)),zero),multiplication(X_96,antidomain(X1))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
multiplication(addition(X_96,domain(X1)),antidomain(X1)) = multiplication(X_96,antidomain(X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_96,domain(X1)),antidomain(X1)),addition(multiplication(X_96,antidomain(X1)),zero)) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
multiplication(addition(domain(X0),domain(X_239)),antidomain(X_239)) = multiplication(domain(X0),antidomain(X_239)),
inference(subst,[],[refute_0_11:[bind(X1,$fot(X_239)),bind(X_96,$fot(domain(X0)))]]) ).
cnf(refute_0_13,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_14,plain,
domain(addition(X0,X_239)) = addition(domain(X0),domain(X_239)),
inference(subst,[],[refute_0_13:[bind(X1,$fot(X_239))]]) ).
cnf(refute_0_15,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_16,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_17,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( domain(addition(X0,X_239)) != addition(domain(X0),domain(X_239))
| addition(domain(X0),domain(X_239)) = domain(addition(X0,X_239)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(addition(X0,X_239)))),bind(Y,$fot(addition(domain(X0),domain(X_239))))]]) ).
cnf(refute_0_19,plain,
addition(domain(X0),domain(X_239)) = domain(addition(X0,X_239)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X_239)),addition(domain(X0),domain(X_239))) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
( addition(domain(X0),domain(X_239)) != domain(addition(X0,X_239))
| multiplication(addition(domain(X0),domain(X_239)),antidomain(X_239)) != multiplication(domain(X0),antidomain(X_239))
| multiplication(domain(addition(X0,X_239)),antidomain(X_239)) = multiplication(domain(X0),antidomain(X_239)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),domain(X_239)),antidomain(X_239)),multiplication(domain(X0),antidomain(X_239))) ),[0,0],$fot(domain(addition(X0,X_239)))]]) ).
cnf(refute_0_21,plain,
( multiplication(addition(domain(X0),domain(X_239)),antidomain(X_239)) != multiplication(domain(X0),antidomain(X_239))
| multiplication(domain(addition(X0,X_239)),antidomain(X_239)) = multiplication(domain(X0),antidomain(X_239)) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X_239)),domain(addition(X0,X_239))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
multiplication(domain(addition(X0,X_239)),antidomain(X_239)) = multiplication(domain(X0),antidomain(X_239)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),domain(X_239)),antidomain(X_239)),multiplication(domain(X0),antidomain(X_239))) )],[refute_0_12,refute_0_21]) ).
cnf(refute_0_23,plain,
multiplication(domain(addition(X_1594,antidomain(X_1594))),antidomain(antidomain(X_1594))) = multiplication(domain(X_1594),antidomain(antidomain(X_1594))),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_1594)),bind(X_239,$fot(antidomain(X_1594)))]]) ).
cnf(refute_0_24,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_25,plain,
addition(domain(X_25),domain(X_24)) = addition(domain(X_24),domain(X_25)),
inference(subst,[],[refute_0_24:[bind(A,$fot(domain(X_25))),bind(B,$fot(domain(X_24)))]]) ).
cnf(refute_0_26,plain,
domain(addition(X_24,X_25)) = addition(domain(X_24),domain(X_25)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_24)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_27,plain,
( domain(addition(X_24,X_25)) != addition(domain(X_24),domain(X_25))
| addition(domain(X_24),domain(X_25)) = domain(addition(X_24,X_25)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(addition(X_24,X_25)))),bind(Y,$fot(addition(domain(X_24),domain(X_25))))]]) ).
cnf(refute_0_28,plain,
addition(domain(X_24),domain(X_25)) = domain(addition(X_24,X_25)),
inference(resolve,[$cnf( $equal(domain(addition(X_24,X_25)),addition(domain(X_24),domain(X_25))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( addition(domain(X_24),domain(X_25)) != domain(addition(X_24,X_25))
| addition(domain(X_25),domain(X_24)) != addition(domain(X_24),domain(X_25))
| addition(domain(X_25),domain(X_24)) = domain(addition(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_25),domain(X_24)),addition(domain(X_24),domain(X_25))) ),[1],$fot(domain(addition(X_24,X_25)))]]) ).
cnf(refute_0_30,plain,
( addition(domain(X_25),domain(X_24)) != addition(domain(X_24),domain(X_25))
| addition(domain(X_25),domain(X_24)) = domain(addition(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_24),domain(X_25)),domain(addition(X_24,X_25))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
addition(domain(X_25),domain(X_24)) = domain(addition(X_24,X_25)),
inference(resolve,[$cnf( $equal(addition(domain(X_25),domain(X_24)),addition(domain(X_24),domain(X_25))) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
( domain(addition(X0,X1)) != addition(domain(X0),domain(X1))
| addition(domain(X0),domain(X1)) = domain(addition(X0,X1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(addition(X0,X1)))),bind(Y,$fot(addition(domain(X0),domain(X1))))]]) ).
cnf(refute_0_33,plain,
addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X0),domain(X1))) )],[refute_0_13,refute_0_32]) ).
cnf(refute_0_34,plain,
addition(domain(X_25),domain(X_24)) = domain(addition(X_25,X_24)),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_25)),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_35,plain,
( addition(domain(X_25),domain(X_24)) != domain(addition(X_24,X_25))
| addition(domain(X_25),domain(X_24)) != domain(addition(X_25,X_24))
| domain(addition(X_25,X_24)) = domain(addition(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_25),domain(X_24)),domain(addition(X_24,X_25))) ),[0],$fot(domain(addition(X_25,X_24)))]]) ).
cnf(refute_0_36,plain,
( addition(domain(X_25),domain(X_24)) != domain(addition(X_24,X_25))
| domain(addition(X_25,X_24)) = domain(addition(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_25),domain(X_24)),domain(addition(X_25,X_24))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
domain(addition(X_25,X_24)) = domain(addition(X_24,X_25)),
inference(resolve,[$cnf( $equal(addition(domain(X_25),domain(X_24)),domain(addition(X_24,X_25))) )],[refute_0_31,refute_0_36]) ).
cnf(refute_0_38,plain,
domain(addition(antidomain(X1),domain(X1))) = domain(addition(domain(X1),antidomain(X1))),
inference(subst,[],[refute_0_37:[bind(X_24,$fot(domain(X1))),bind(X_25,$fot(antidomain(X1)))]]) ).
cnf(refute_0_39,plain,
addition(domain(X1),antidomain(X1)) = one,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_40,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_41,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_24,refute_0_40]) ).
cnf(refute_0_42,plain,
addition(domain(X1),antidomain(X1)) = addition(antidomain(X1),domain(X1)),
inference(subst,[],[refute_0_41:[bind(A,$fot(antidomain(X1))),bind(B,$fot(domain(X1)))]]) ).
cnf(refute_0_43,plain,
( addition(domain(X1),antidomain(X1)) != addition(antidomain(X1),domain(X1))
| addition(domain(X1),antidomain(X1)) != one
| addition(antidomain(X1),domain(X1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X1),antidomain(X1)),one) ),[0],$fot(addition(antidomain(X1),domain(X1)))]]) ).
cnf(refute_0_44,plain,
( addition(domain(X1),antidomain(X1)) != one
| addition(antidomain(X1),domain(X1)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X1),antidomain(X1)),addition(antidomain(X1),domain(X1))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
addition(antidomain(X1),domain(X1)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X1),antidomain(X1)),one) )],[refute_0_39,refute_0_44]) ).
cnf(refute_0_46,plain,
( addition(antidomain(X1),domain(X1)) != one
| domain(addition(antidomain(X1),domain(X1))) != domain(addition(domain(X1),antidomain(X1)))
| domain(one) = domain(addition(domain(X1),antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(antidomain(X1),domain(X1))),domain(addition(domain(X1),antidomain(X1)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_47,plain,
( domain(addition(antidomain(X1),domain(X1))) != domain(addition(domain(X1),antidomain(X1)))
| domain(one) = domain(addition(domain(X1),antidomain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
domain(one) = domain(addition(domain(X1),antidomain(X1))),
inference(resolve,[$cnf( $equal(domain(addition(antidomain(X1),domain(X1))),domain(addition(domain(X1),antidomain(X1)))) )],[refute_0_38,refute_0_47]) ).
cnf(refute_0_49,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_50,plain,
addition(one,multiplication(domain(one),one)) = multiplication(domain(one),one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one))]]) ).
cnf(refute_0_51,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_52,plain,
multiplication(domain(one),one) = domain(one),
inference(subst,[],[refute_0_51:[bind(A,$fot(domain(one)))]]) ).
cnf(refute_0_53,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| multiplication(domain(one),one) != domain(one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) ),[0,1],$fot(domain(one))]]) ).
cnf(refute_0_54,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(resolve,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) )],[refute_0_50,refute_0_54]) ).
cnf(refute_0_56,plain,
addition(domain(X0),one) = one,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_57,plain,
addition(domain(X0),one) = addition(one,domain(X0)),
inference(subst,[],[refute_0_41:[bind(A,$fot(one)),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_58,plain,
( addition(domain(X0),one) != addition(one,domain(X0))
| addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),one),one) ),[0],$fot(addition(one,domain(X0)))]]) ).
cnf(refute_0_59,plain,
( addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),addition(one,domain(X0))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
addition(one,domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(one,domain(one)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(one))]]) ).
cnf(refute_0_62,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| addition(one,domain(one)) != one
| one = multiplication(domain(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) ),[0],$fot(one)]]) ).
cnf(refute_0_63,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),one) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( multiplication(domain(one),one) != domain(one)
| one != multiplication(domain(one),one)
| one = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(one,multiplication(domain(one),one)) ),[1],$fot(domain(one))]]) ).
cnf(refute_0_65,plain,
( one != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_52,refute_0_64]) ).
cnf(refute_0_66,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(one,multiplication(domain(one),one)) )],[refute_0_63,refute_0_65]) ).
cnf(refute_0_67,plain,
one = domain(one),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) )],[refute_0_55,refute_0_66]) ).
cnf(refute_0_68,plain,
( one != domain(one)
| domain(one) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(one)),bind(Y,$fot(domain(one)))]]) ).
cnf(refute_0_69,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(one,domain(one)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( domain(one) != domain(addition(domain(X1),antidomain(X1)))
| domain(one) != one
| one = domain(addition(domain(X1),antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),domain(addition(domain(X1),antidomain(X1)))) ),[0],$fot(one)]]) ).
cnf(refute_0_71,plain,
( domain(one) != domain(addition(domain(X1),antidomain(X1)))
| one = domain(addition(domain(X1),antidomain(X1))) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
domain(addition(domain(X_14),X_25)) = addition(domain(domain(X_14)),domain(X_25)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(domain(X_14))),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_73,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_74,plain,
domain(multiplication(one,X_14)) = domain(multiplication(one,domain(X_14))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(one)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_75,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_76,plain,
multiplication(one,domain(X_14)) = domain(X_14),
inference(subst,[],[refute_0_75:[bind(A,$fot(domain(X_14)))]]) ).
cnf(refute_0_77,plain,
( domain(multiplication(one,X_14)) != domain(multiplication(one,domain(X_14)))
| multiplication(one,domain(X_14)) != domain(X_14)
| domain(multiplication(one,X_14)) = domain(domain(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_14)),domain(multiplication(one,domain(X_14)))) ),[1,0],$fot(domain(X_14))]]) ).
cnf(refute_0_78,plain,
( domain(multiplication(one,X_14)) != domain(multiplication(one,domain(X_14)))
| domain(multiplication(one,X_14)) = domain(domain(X_14)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_14)),domain(X_14)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
domain(multiplication(one,X_14)) = domain(domain(X_14)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_14)),domain(multiplication(one,domain(X_14)))) )],[refute_0_74,refute_0_78]) ).
cnf(refute_0_80,plain,
multiplication(one,X_14) = X_14,
inference(subst,[],[refute_0_75:[bind(A,$fot(X_14))]]) ).
cnf(refute_0_81,plain,
domain(multiplication(one,X_14)) = domain(multiplication(one,X_14)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_14)))]]) ).
cnf(refute_0_82,plain,
( domain(multiplication(one,X_14)) != domain(multiplication(one,X_14))
| multiplication(one,X_14) != X_14
| domain(multiplication(one,X_14)) = domain(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_14)),domain(multiplication(one,X_14))) ),[1,0],$fot(X_14)]]) ).
cnf(refute_0_83,plain,
( multiplication(one,X_14) != X_14
| domain(multiplication(one,X_14)) = domain(X_14) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_14)),domain(multiplication(one,X_14))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
domain(multiplication(one,X_14)) = domain(X_14),
inference(resolve,[$cnf( $equal(multiplication(one,X_14),X_14) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
( domain(multiplication(one,X_14)) != domain(X_14)
| domain(multiplication(one,X_14)) != domain(domain(X_14))
| domain(X_14) = domain(domain(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_14)),domain(domain(X_14))) ),[0],$fot(domain(X_14))]]) ).
cnf(refute_0_86,plain,
( domain(multiplication(one,X_14)) != domain(domain(X_14))
| domain(X_14) = domain(domain(X_14)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_14)),domain(X_14)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
domain(X_14) = domain(domain(X_14)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_14)),domain(domain(X_14))) )],[refute_0_79,refute_0_86]) ).
cnf(refute_0_88,plain,
( domain(X_14) != domain(domain(X_14))
| domain(domain(X_14)) = domain(X_14) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(X_14))),bind(Y,$fot(domain(domain(X_14))))]]) ).
cnf(refute_0_89,plain,
domain(domain(X_14)) = domain(X_14),
inference(resolve,[$cnf( $equal(domain(X_14),domain(domain(X_14))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( domain(addition(domain(X_14),X_25)) != addition(domain(domain(X_14)),domain(X_25))
| domain(domain(X_14)) != domain(X_14)
| domain(addition(domain(X_14),X_25)) = addition(domain(X_14),domain(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_14),X_25)),addition(domain(domain(X_14)),domain(X_25))) ),[1,0],$fot(domain(X_14))]]) ).
cnf(refute_0_91,plain,
( domain(addition(domain(X_14),X_25)) != addition(domain(domain(X_14)),domain(X_25))
| domain(addition(domain(X_14),X_25)) = addition(domain(X_14),domain(X_25)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_14)),domain(X_14)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
domain(addition(domain(X_14),X_25)) = addition(domain(X_14),domain(X_25)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_14),X_25)),addition(domain(domain(X_14)),domain(X_25))) )],[refute_0_72,refute_0_91]) ).
cnf(refute_0_93,plain,
addition(domain(X_14),domain(X_25)) = domain(addition(X_14,X_25)),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_14)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_94,plain,
( addition(domain(X_14),domain(X_25)) != domain(addition(X_14,X_25))
| domain(addition(domain(X_14),X_25)) != addition(domain(X_14),domain(X_25))
| domain(addition(domain(X_14),X_25)) = domain(addition(X_14,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_14),X_25)),addition(domain(X_14),domain(X_25))) ),[1],$fot(domain(addition(X_14,X_25)))]]) ).
cnf(refute_0_95,plain,
( domain(addition(domain(X_14),X_25)) != addition(domain(X_14),domain(X_25))
| domain(addition(domain(X_14),X_25)) = domain(addition(X_14,X_25)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_14),domain(X_25)),domain(addition(X_14,X_25))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
domain(addition(domain(X_14),X_25)) = domain(addition(X_14,X_25)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_14),X_25)),addition(domain(X_14),domain(X_25))) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
domain(addition(domain(X1),antidomain(X1))) = domain(addition(X1,antidomain(X1))),
inference(subst,[],[refute_0_96:[bind(X_14,$fot(X1)),bind(X_25,$fot(antidomain(X1)))]]) ).
cnf(refute_0_98,plain,
( domain(addition(domain(X1),antidomain(X1))) != domain(addition(X1,antidomain(X1)))
| one != domain(addition(domain(X1),antidomain(X1)))
| one = domain(addition(X1,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,domain(addition(domain(X1),antidomain(X1)))) ),[1],$fot(domain(addition(X1,antidomain(X1))))]]) ).
cnf(refute_0_99,plain,
( one != domain(addition(domain(X1),antidomain(X1)))
| one = domain(addition(X1,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(domain(addition(domain(X1),antidomain(X1))),domain(addition(X1,antidomain(X1)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( domain(one) != domain(addition(domain(X1),antidomain(X1)))
| one = domain(addition(X1,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(one,domain(addition(domain(X1),antidomain(X1)))) )],[refute_0_71,refute_0_99]) ).
cnf(refute_0_101,plain,
one = domain(addition(X1,antidomain(X1))),
inference(resolve,[$cnf( $equal(domain(one),domain(addition(domain(X1),antidomain(X1)))) )],[refute_0_48,refute_0_100]) ).
cnf(refute_0_102,plain,
one = domain(addition(X_1594,antidomain(X_1594))),
inference(subst,[],[refute_0_101:[bind(X1,$fot(X_1594))]]) ).
cnf(refute_0_103,plain,
( one != domain(addition(X_1594,antidomain(X_1594)))
| domain(addition(X_1594,antidomain(X_1594))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(one)),bind(Y,$fot(domain(addition(X_1594,antidomain(X_1594)))))]]) ).
cnf(refute_0_104,plain,
domain(addition(X_1594,antidomain(X_1594))) = one,
inference(resolve,[$cnf( $equal(one,domain(addition(X_1594,antidomain(X_1594)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( domain(addition(X_1594,antidomain(X_1594))) != one
| multiplication(domain(addition(X_1594,antidomain(X_1594))),antidomain(antidomain(X_1594))) != multiplication(domain(X_1594),antidomain(antidomain(X_1594)))
| multiplication(one,antidomain(antidomain(X_1594))) = multiplication(domain(X_1594),antidomain(antidomain(X_1594))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_1594,antidomain(X_1594))),antidomain(antidomain(X_1594))),multiplication(domain(X_1594),antidomain(antidomain(X_1594)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_106,plain,
( multiplication(domain(addition(X_1594,antidomain(X_1594))),antidomain(antidomain(X_1594))) != multiplication(domain(X_1594),antidomain(antidomain(X_1594)))
| multiplication(one,antidomain(antidomain(X_1594))) = multiplication(domain(X_1594),antidomain(antidomain(X_1594))) ),
inference(resolve,[$cnf( $equal(domain(addition(X_1594,antidomain(X_1594))),one) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiplication(one,antidomain(antidomain(X_1594))) = multiplication(domain(X_1594),antidomain(antidomain(X_1594))),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_1594,antidomain(X_1594))),antidomain(antidomain(X_1594))),multiplication(domain(X_1594),antidomain(antidomain(X_1594)))) )],[refute_0_23,refute_0_106]) ).
cnf(refute_0_108,plain,
multiplication(one,antidomain(antidomain(X_1594))) = antidomain(antidomain(X_1594)),
inference(subst,[],[refute_0_75:[bind(A,$fot(antidomain(antidomain(X_1594))))]]) ).
cnf(refute_0_109,plain,
( multiplication(one,antidomain(antidomain(X_1594))) != antidomain(antidomain(X_1594))
| multiplication(one,antidomain(antidomain(X_1594))) != multiplication(domain(X_1594),antidomain(antidomain(X_1594)))
| antidomain(antidomain(X_1594)) = multiplication(domain(X_1594),antidomain(antidomain(X_1594))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(antidomain(X_1594))),multiplication(domain(X_1594),antidomain(antidomain(X_1594)))) ),[0],$fot(antidomain(antidomain(X_1594)))]]) ).
cnf(refute_0_110,plain,
( multiplication(one,antidomain(antidomain(X_1594))) != multiplication(domain(X_1594),antidomain(antidomain(X_1594)))
| antidomain(antidomain(X_1594)) = multiplication(domain(X_1594),antidomain(antidomain(X_1594))) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(antidomain(X_1594))),antidomain(antidomain(X_1594))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_112,plain,
multiplication(domain(X1),addition(antidomain(X1),X_174)) = addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_174)),
inference(subst,[],[refute_0_111:[bind(A,$fot(domain(X1))),bind(B,$fot(antidomain(X1))),bind(C,$fot(X_174))]]) ).
cnf(refute_0_113,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_174)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_174))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(domain(X1),addition(antidomain(X1),X_174)) = addition(zero,multiplication(domain(X1),X_174)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_174)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_174))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_114,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_174)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_174))
| multiplication(domain(X1),addition(antidomain(X1),X_174)) = addition(zero,multiplication(domain(X1),X_174)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_3,refute_0_113]) ).
cnf(refute_0_115,plain,
multiplication(domain(X1),addition(antidomain(X1),X_174)) = addition(zero,multiplication(domain(X1),X_174)),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_174)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_174))) )],[refute_0_112,refute_0_114]) ).
cnf(refute_0_116,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_24:[bind(B,$fot(zero))]]) ).
cnf(refute_0_117,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_118,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_7,refute_0_118]) ).
cnf(refute_0_120,plain,
addition(zero,multiplication(domain(X1),X_174)) = multiplication(domain(X1),X_174),
inference(subst,[],[refute_0_119:[bind(A,$fot(multiplication(domain(X1),X_174)))]]) ).
cnf(refute_0_121,plain,
( addition(zero,multiplication(domain(X1),X_174)) != multiplication(domain(X1),X_174)
| multiplication(domain(X1),addition(antidomain(X1),X_174)) != addition(zero,multiplication(domain(X1),X_174))
| multiplication(domain(X1),addition(antidomain(X1),X_174)) = multiplication(domain(X1),X_174) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_174)),addition(zero,multiplication(domain(X1),X_174))) ),[1],$fot(multiplication(domain(X1),X_174))]]) ).
cnf(refute_0_122,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_174)) != addition(zero,multiplication(domain(X1),X_174))
| multiplication(domain(X1),addition(antidomain(X1),X_174)) = multiplication(domain(X1),X_174) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(domain(X1),X_174)),multiplication(domain(X1),X_174)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiplication(domain(X1),addition(antidomain(X1),X_174)) = multiplication(domain(X1),X_174),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_174)),addition(zero,multiplication(domain(X1),X_174))) )],[refute_0_115,refute_0_122]) ).
cnf(refute_0_124,plain,
multiplication(domain(domain(X_1073)),addition(antidomain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) = multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))),
inference(subst,[],[refute_0_123:[bind(X1,$fot(domain(X_1073))),bind(X_174,$fot(domain(antidomain(antidomain(X_1073)))))]]) ).
cnf(refute_0_125,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_126,plain,
addition(antidomain(X1),addition(domain(X1),X_50)) = addition(addition(antidomain(X1),domain(X1)),X_50),
inference(subst,[],[refute_0_125:[bind(A,$fot(antidomain(X1))),bind(B,$fot(domain(X1))),bind(C,$fot(X_50))]]) ).
cnf(refute_0_127,plain,
( addition(antidomain(X1),addition(domain(X1),X_50)) != addition(addition(antidomain(X1),domain(X1)),X_50)
| addition(antidomain(X1),domain(X1)) != one
| addition(antidomain(X1),addition(domain(X1),X_50)) = addition(one,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X1),addition(domain(X1),X_50)),addition(addition(antidomain(X1),domain(X1)),X_50)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_128,plain,
( addition(antidomain(X1),addition(domain(X1),X_50)) != addition(addition(antidomain(X1),domain(X1)),X_50)
| addition(antidomain(X1),addition(domain(X1),X_50)) = addition(one,X_50) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_45,refute_0_127]) ).
cnf(refute_0_129,plain,
addition(antidomain(X1),addition(domain(X1),X_50)) = addition(one,X_50),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),addition(domain(X1),X_50)),addition(addition(antidomain(X1),domain(X1)),X_50)) )],[refute_0_126,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(antidomain(X_51),addition(domain(X_51),domain(X1))) = addition(one,domain(X1)),
inference(subst,[],[refute_0_129:[bind(X1,$fot(X_51)),bind(X_50,$fot(domain(X1)))]]) ).
cnf(refute_0_131,plain,
domain(addition(X_51,X1)) = addition(domain(X_51),domain(X1)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_51))]]) ).
cnf(refute_0_132,plain,
( domain(addition(X_51,X1)) != addition(domain(X_51),domain(X1))
| addition(domain(X_51),domain(X1)) = domain(addition(X_51,X1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(addition(X_51,X1)))),bind(Y,$fot(addition(domain(X_51),domain(X1))))]]) ).
cnf(refute_0_133,plain,
addition(domain(X_51),domain(X1)) = domain(addition(X_51,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_51,X1)),addition(domain(X_51),domain(X1))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
( addition(antidomain(X_51),addition(domain(X_51),domain(X1))) != addition(one,domain(X1))
| addition(domain(X_51),domain(X1)) != domain(addition(X_51,X1))
| addition(antidomain(X_51),domain(addition(X_51,X1))) = addition(one,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_51),addition(domain(X_51),domain(X1))),addition(one,domain(X1))) ),[0,1],$fot(domain(addition(X_51,X1)))]]) ).
cnf(refute_0_135,plain,
( addition(antidomain(X_51),addition(domain(X_51),domain(X1))) != addition(one,domain(X1))
| addition(antidomain(X_51),domain(addition(X_51,X1))) = addition(one,domain(X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_51),domain(X1)),domain(addition(X_51,X1))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(antidomain(X_51),domain(addition(X_51,X1))) = addition(one,domain(X1)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_51),addition(domain(X_51),domain(X1))),addition(one,domain(X1))) )],[refute_0_130,refute_0_135]) ).
cnf(refute_0_137,plain,
addition(one,domain(X1)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_138,plain,
( addition(antidomain(X_51),domain(addition(X_51,X1))) != addition(one,domain(X1))
| addition(one,domain(X1)) != one
| addition(antidomain(X_51),domain(addition(X_51,X1))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_51),domain(addition(X_51,X1))),one) ),[0],$fot(addition(one,domain(X1)))]]) ).
cnf(refute_0_139,plain,
( addition(antidomain(X_51),domain(addition(X_51,X1))) != addition(one,domain(X1))
| addition(antidomain(X_51),domain(addition(X_51,X1))) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X1)),one) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
addition(antidomain(X_51),domain(addition(X_51,X1))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_51),domain(addition(X_51,X1))),addition(one,domain(X1))) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
addition(antidomain(X_57),domain(addition(X_57,X_56))) = one,
inference(subst,[],[refute_0_140:[bind(X1,$fot(X_56)),bind(X_51,$fot(X_57))]]) ).
cnf(refute_0_142,plain,
addition(X_56,X_57) = addition(X_57,X_56),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_56)),bind(B,$fot(X_57))]]) ).
cnf(refute_0_143,plain,
( addition(X_56,X_57) != addition(X_57,X_56)
| addition(X_57,X_56) = addition(X_56,X_57) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(addition(X_56,X_57))),bind(Y,$fot(addition(X_57,X_56)))]]) ).
cnf(refute_0_144,plain,
addition(X_57,X_56) = addition(X_56,X_57),
inference(resolve,[$cnf( $equal(addition(X_56,X_57),addition(X_57,X_56)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
( addition(X_57,X_56) != addition(X_56,X_57)
| addition(antidomain(X_57),domain(addition(X_57,X_56))) != one
| addition(antidomain(X_57),domain(addition(X_56,X_57))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_57),domain(addition(X_57,X_56))),one) ),[0,1,0],$fot(addition(X_56,X_57))]]) ).
cnf(refute_0_146,plain,
( addition(antidomain(X_57),domain(addition(X_57,X_56))) != one
| addition(antidomain(X_57),domain(addition(X_56,X_57))) = one ),
inference(resolve,[$cnf( $equal(addition(X_57,X_56),addition(X_56,X_57)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
addition(antidomain(X_57),domain(addition(X_56,X_57))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_57),domain(addition(X_57,X_56))),one) )],[refute_0_141,refute_0_146]) ).
cnf(refute_0_148,plain,
addition(antidomain(domain(X1)),domain(addition(domain(X0),domain(X1)))) = one,
inference(subst,[],[refute_0_147:[bind(X_56,$fot(domain(X0))),bind(X_57,$fot(domain(X1)))]]) ).
cnf(refute_0_149,plain,
( addition(antidomain(domain(X1)),domain(addition(domain(X0),domain(X1)))) != one
| addition(domain(X0),domain(X1)) != domain(addition(X0,X1))
| addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X1)),domain(addition(domain(X0),domain(X1)))),one) ),[0,1,0],$fot(domain(addition(X0,X1)))]]) ).
cnf(refute_0_150,plain,
( addition(antidomain(domain(X1)),domain(addition(domain(X0),domain(X1)))) != one
| addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X1)),domain(addition(X0,X1))) )],[refute_0_33,refute_0_149]) ).
cnf(refute_0_151,plain,
addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X1)),domain(addition(domain(X0),domain(X1)))),one) )],[refute_0_148,refute_0_150]) ).
cnf(refute_0_152,plain,
domain(domain(addition(X0,X1))) = domain(addition(X0,X1)),
inference(subst,[],[refute_0_89:[bind(X_14,$fot(addition(X0,X1)))]]) ).
cnf(refute_0_153,plain,
addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) = addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))))]]) ).
cnf(refute_0_154,plain,
( addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) != addition(antidomain(domain(X1)),domain(domain(addition(X0,X1))))
| domain(domain(addition(X0,X1))) != domain(addition(X0,X1))
| addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) = addition(antidomain(domain(X1)),domain(addition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))),addition(antidomain(domain(X1)),domain(domain(addition(X0,X1))))) ),[1,1],$fot(domain(addition(X0,X1)))]]) ).
cnf(refute_0_155,plain,
( domain(domain(addition(X0,X1))) != domain(addition(X0,X1))
| addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) = addition(antidomain(domain(X1)),domain(addition(X0,X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))),addition(antidomain(domain(X1)),domain(domain(addition(X0,X1))))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) = addition(antidomain(domain(X1)),domain(addition(X0,X1))),
inference(resolve,[$cnf( $equal(domain(domain(addition(X0,X1))),domain(addition(X0,X1))) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
( addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) != addition(antidomain(domain(X1)),domain(addition(X0,X1)))
| addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) != one
| addition(antidomain(domain(X1)),domain(addition(X0,X1))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))),one) ),[0],$fot(addition(antidomain(domain(X1)),domain(addition(X0,X1))))]]) ).
cnf(refute_0_158,plain,
( addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))) != one
| addition(antidomain(domain(X1)),domain(addition(X0,X1))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))),addition(antidomain(domain(X1)),domain(addition(X0,X1)))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
addition(antidomain(domain(X1)),domain(addition(X0,X1))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X1)),domain(domain(addition(X0,X1)))),one) )],[refute_0_151,refute_0_158]) ).
cnf(refute_0_160,plain,
addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(addition(X0,multiplication(domain(X_492),X0)))) = one,
inference(subst,[],[refute_0_159:[bind(X1,$fot(multiplication(domain(X_492),X0)))]]) ).
cnf(refute_0_161,plain,
multiplication(addition(one,X_97),X_98) = addition(multiplication(one,X_98),multiplication(X_97,X_98)),
inference(subst,[],[refute_0_1:[bind(A,$fot(one)),bind(B,$fot(X_97)),bind(C,$fot(X_98))]]) ).
cnf(refute_0_162,plain,
multiplication(one,X_98) = X_98,
inference(subst,[],[refute_0_75:[bind(A,$fot(X_98))]]) ).
cnf(refute_0_163,plain,
( multiplication(addition(one,X_97),X_98) != addition(multiplication(one,X_98),multiplication(X_97,X_98))
| multiplication(one,X_98) != X_98
| multiplication(addition(one,X_97),X_98) = addition(X_98,multiplication(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_97),X_98),addition(multiplication(one,X_98),multiplication(X_97,X_98))) ),[1,0],$fot(X_98)]]) ).
cnf(refute_0_164,plain,
( multiplication(addition(one,X_97),X_98) != addition(multiplication(one,X_98),multiplication(X_97,X_98))
| multiplication(addition(one,X_97),X_98) = addition(X_98,multiplication(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_98),X_98) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiplication(addition(one,X_97),X_98) = addition(X_98,multiplication(X_97,X_98)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_97),X_98),addition(multiplication(one,X_98),multiplication(X_97,X_98))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
multiplication(addition(one,domain(X0)),X_464) = addition(X_464,multiplication(domain(X0),X_464)),
inference(subst,[],[refute_0_165:[bind(X_97,$fot(domain(X0))),bind(X_98,$fot(X_464))]]) ).
cnf(refute_0_167,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X_464) != addition(X_464,multiplication(domain(X0),X_464))
| multiplication(one,X_464) = addition(X_464,multiplication(domain(X0),X_464)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_464),addition(X_464,multiplication(domain(X0),X_464))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_168,plain,
( multiplication(addition(one,domain(X0)),X_464) != addition(X_464,multiplication(domain(X0),X_464))
| multiplication(one,X_464) = addition(X_464,multiplication(domain(X0),X_464)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_60,refute_0_167]) ).
cnf(refute_0_169,plain,
multiplication(one,X_464) = addition(X_464,multiplication(domain(X0),X_464)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_464),addition(X_464,multiplication(domain(X0),X_464))) )],[refute_0_166,refute_0_168]) ).
cnf(refute_0_170,plain,
multiplication(one,X_464) = X_464,
inference(subst,[],[refute_0_75:[bind(A,$fot(X_464))]]) ).
cnf(refute_0_171,plain,
( multiplication(one,X_464) != X_464
| multiplication(one,X_464) != addition(X_464,multiplication(domain(X0),X_464))
| X_464 = addition(X_464,multiplication(domain(X0),X_464)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_464),addition(X_464,multiplication(domain(X0),X_464))) ),[0],$fot(X_464)]]) ).
cnf(refute_0_172,plain,
( multiplication(one,X_464) != addition(X_464,multiplication(domain(X0),X_464))
| X_464 = addition(X_464,multiplication(domain(X0),X_464)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_464),X_464) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
X_464 = addition(X_464,multiplication(domain(X0),X_464)),
inference(resolve,[$cnf( $equal(multiplication(one,X_464),addition(X_464,multiplication(domain(X0),X_464))) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
X0 = addition(X0,multiplication(domain(X_492),X0)),
inference(subst,[],[refute_0_173:[bind(X0,$fot(X_492)),bind(X_464,$fot(X0))]]) ).
cnf(refute_0_175,plain,
( X0 != addition(X0,multiplication(domain(X_492),X0))
| addition(X0,multiplication(domain(X_492),X0)) = X0 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(X0)),bind(Y,$fot(addition(X0,multiplication(domain(X_492),X0))))]]) ).
cnf(refute_0_176,plain,
addition(X0,multiplication(domain(X_492),X0)) = X0,
inference(resolve,[$cnf( $equal(X0,addition(X0,multiplication(domain(X_492),X0))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
( addition(X0,multiplication(domain(X_492),X0)) != X0
| addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(addition(X0,multiplication(domain(X_492),X0)))) != one
| addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(addition(X0,multiplication(domain(X_492),X0)))),one) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_178,plain,
( addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(addition(X0,multiplication(domain(X_492),X0)))) != one
| addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X_492),X0)),X0) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(addition(X0,multiplication(domain(X_492),X0)))),one) )],[refute_0_160,refute_0_178]) ).
cnf(refute_0_180,plain,
addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)) = addition(domain(X0),antidomain(domain(multiplication(domain(X_492),X0)))),
inference(subst,[],[refute_0_41:[bind(A,$fot(domain(X0))),bind(B,$fot(antidomain(domain(multiplication(domain(X_492),X0)))))]]) ).
cnf(refute_0_181,plain,
( addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)) != addition(domain(X0),antidomain(domain(multiplication(domain(X_492),X0))))
| addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)) != one
| addition(domain(X0),antidomain(domain(multiplication(domain(X_492),X0)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)),one) ),[0],$fot(addition(domain(X0),antidomain(domain(multiplication(domain(X_492),X0)))))]]) ).
cnf(refute_0_182,plain,
( addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)) != one
| addition(domain(X0),antidomain(domain(multiplication(domain(X_492),X0)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)),addition(domain(X0),antidomain(domain(multiplication(domain(X_492),X0))))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
addition(domain(X0),antidomain(domain(multiplication(domain(X_492),X0)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(multiplication(domain(X_492),X0))),domain(X0)),one) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
addition(domain(antidomain(antidomain(X_492))),antidomain(domain(multiplication(domain(X_492),antidomain(antidomain(X_492)))))) = one,
inference(subst,[],[refute_0_183:[bind(X0,$fot(antidomain(antidomain(X_492))))]]) ).
cnf(refute_0_185,plain,
domain(multiplication(X0,addition(X_85,antidomain(X_85)))) = domain(multiplication(X0,domain(addition(X_85,antidomain(X_85))))),
inference(subst,[],[refute_0_73:[bind(X1,$fot(addition(X_85,antidomain(X_85))))]]) ).
cnf(refute_0_186,plain,
one = domain(addition(X_85,antidomain(X_85))),
inference(subst,[],[refute_0_101:[bind(X1,$fot(X_85))]]) ).
cnf(refute_0_187,plain,
( one != domain(addition(X_85,antidomain(X_85)))
| domain(addition(X_85,antidomain(X_85))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(one)),bind(Y,$fot(domain(addition(X_85,antidomain(X_85)))))]]) ).
cnf(refute_0_188,plain,
domain(addition(X_85,antidomain(X_85))) = one,
inference(resolve,[$cnf( $equal(one,domain(addition(X_85,antidomain(X_85)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
( domain(addition(X_85,antidomain(X_85))) != one
| domain(multiplication(X0,addition(X_85,antidomain(X_85)))) != domain(multiplication(X0,domain(addition(X_85,antidomain(X_85)))))
| domain(multiplication(X0,addition(X_85,antidomain(X_85)))) = domain(multiplication(X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,addition(X_85,antidomain(X_85)))),domain(multiplication(X0,domain(addition(X_85,antidomain(X_85)))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_190,plain,
( domain(multiplication(X0,addition(X_85,antidomain(X_85)))) != domain(multiplication(X0,domain(addition(X_85,antidomain(X_85)))))
| domain(multiplication(X0,addition(X_85,antidomain(X_85)))) = domain(multiplication(X0,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_85,antidomain(X_85))),one) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
domain(multiplication(X0,addition(X_85,antidomain(X_85)))) = domain(multiplication(X0,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_85,antidomain(X_85)))),domain(multiplication(X0,domain(addition(X_85,antidomain(X_85)))))) )],[refute_0_185,refute_0_190]) ).
cnf(refute_0_192,plain,
multiplication(X0,one) = X0,
inference(subst,[],[refute_0_51:[bind(A,$fot(X0))]]) ).
cnf(refute_0_193,plain,
domain(multiplication(X0,one)) = domain(multiplication(X0,one)),
introduced(tautology,[refl,[$fot(domain(multiplication(X0,one)))]]) ).
cnf(refute_0_194,plain,
( domain(multiplication(X0,one)) != domain(multiplication(X0,one))
| multiplication(X0,one) != X0
| domain(multiplication(X0,one)) = domain(X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,one)),domain(multiplication(X0,one))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_195,plain,
( multiplication(X0,one) != X0
| domain(multiplication(X0,one)) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,one)),domain(multiplication(X0,one))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
domain(multiplication(X0,one)) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(X0,one),X0) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
( domain(multiplication(X0,addition(X_85,antidomain(X_85)))) != domain(multiplication(X0,one))
| domain(multiplication(X0,one)) != domain(X0)
| domain(multiplication(X0,addition(X_85,antidomain(X_85)))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X0,addition(X_85,antidomain(X_85)))),domain(X0)) ),[0],$fot(domain(multiplication(X0,one)))]]) ).
cnf(refute_0_198,plain,
( domain(multiplication(X0,addition(X_85,antidomain(X_85)))) != domain(multiplication(X0,one))
| domain(multiplication(X0,addition(X_85,antidomain(X_85)))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,one)),domain(X0)) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
domain(multiplication(X0,addition(X_85,antidomain(X_85)))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_85,antidomain(X_85)))),domain(multiplication(X0,one))) )],[refute_0_191,refute_0_198]) ).
cnf(refute_0_200,plain,
domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))) = domain(domain(X1)),
inference(subst,[],[refute_0_199:[bind(X0,$fot(domain(X1))),bind(X_85,$fot(antidomain(X1)))]]) ).
cnf(refute_0_201,plain,
multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1)))) = multiplication(domain(X1),antidomain(antidomain(X1))),
inference(subst,[],[refute_0_123:[bind(X_174,$fot(antidomain(antidomain(X1))))]]) ).
cnf(refute_0_202,plain,
( domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))) != domain(domain(X1))
| multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1)))) != multiplication(domain(X1),antidomain(antidomain(X1)))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))),domain(domain(X1))) ),[0,0],$fot(multiplication(domain(X1),antidomain(antidomain(X1))))]]) ).
cnf(refute_0_203,plain,
( domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))) != domain(domain(X1))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1)))),multiplication(domain(X1),antidomain(antidomain(X1)))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(domain(X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))),domain(domain(X1))) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
domain(domain(X1)) = domain(X1),
inference(subst,[],[refute_0_89:[bind(X_14,$fot(X1))]]) ).
cnf(refute_0_206,plain,
( domain(domain(X1)) != domain(X1)
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) != domain(domain(X1))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(X1) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(domain(X1))) ),[1],$fot(domain(X1))]]) ).
cnf(refute_0_207,plain,
( domain(multiplication(domain(X1),antidomain(antidomain(X1)))) != domain(domain(X1))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(X1) ),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(X1),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(domain(X1))) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
domain(multiplication(domain(X_492),antidomain(antidomain(X_492)))) = domain(X_492),
inference(subst,[],[refute_0_208:[bind(X1,$fot(X_492))]]) ).
cnf(refute_0_210,plain,
( addition(domain(antidomain(antidomain(X_492))),antidomain(domain(multiplication(domain(X_492),antidomain(antidomain(X_492)))))) != one
| domain(multiplication(domain(X_492),antidomain(antidomain(X_492)))) != domain(X_492)
| addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(antidomain(X_492))),antidomain(domain(multiplication(domain(X_492),antidomain(antidomain(X_492)))))),one) ),[0,1,0],$fot(domain(X_492))]]) ).
cnf(refute_0_211,plain,
( addition(domain(antidomain(antidomain(X_492))),antidomain(domain(multiplication(domain(X_492),antidomain(antidomain(X_492)))))) != one
| addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))) = one ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_492),antidomain(antidomain(X_492)))),domain(X_492)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(antidomain(X_492))),antidomain(domain(multiplication(domain(X_492),antidomain(antidomain(X_492)))))),one) )],[refute_0_184,refute_0_211]) ).
cnf(refute_0_213,plain,
addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))) = addition(antidomain(domain(X_492)),domain(antidomain(antidomain(X_492)))),
inference(subst,[],[refute_0_41:[bind(A,$fot(antidomain(domain(X_492)))),bind(B,$fot(domain(antidomain(antidomain(X_492)))))]]) ).
cnf(refute_0_214,plain,
( addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))) != addition(antidomain(domain(X_492)),domain(antidomain(antidomain(X_492))))
| addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))) != one
| addition(antidomain(domain(X_492)),domain(antidomain(antidomain(X_492)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))),one) ),[0],$fot(addition(antidomain(domain(X_492)),domain(antidomain(antidomain(X_492)))))]]) ).
cnf(refute_0_215,plain,
( addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))) != one
| addition(antidomain(domain(X_492)),domain(antidomain(antidomain(X_492)))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))),addition(antidomain(domain(X_492)),domain(antidomain(antidomain(X_492))))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
addition(antidomain(domain(X_492)),domain(antidomain(antidomain(X_492)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(antidomain(X_492))),antidomain(domain(X_492))),one) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
addition(antidomain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) = one,
inference(subst,[],[refute_0_216:[bind(X_492,$fot(X_1073))]]) ).
cnf(refute_0_218,plain,
( addition(antidomain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) != one
| multiplication(domain(domain(X_1073)),addition(antidomain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) != multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))
| multiplication(domain(domain(X_1073)),one) = multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_1073)),addition(antidomain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))),multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_219,plain,
( multiplication(domain(domain(X_1073)),addition(antidomain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) != multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))
| multiplication(domain(domain(X_1073)),one) = multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))),one) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
multiplication(domain(domain(X_1073)),one) = multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_1073)),addition(antidomain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))),multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) )],[refute_0_124,refute_0_219]) ).
cnf(refute_0_221,plain,
domain(domain(X_1073)) = domain(X_1073),
inference(subst,[],[refute_0_89:[bind(X_14,$fot(X_1073))]]) ).
cnf(refute_0_222,plain,
multiplication(domain(domain(X_1073)),one) = domain(domain(X_1073)),
inference(subst,[],[refute_0_51:[bind(A,$fot(domain(domain(X_1073))))]]) ).
cnf(refute_0_223,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_224,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_17,refute_0_223]) ).
cnf(refute_0_225,plain,
( domain(domain(X_1073)) != domain(X_1073)
| multiplication(domain(domain(X_1073)),one) != domain(domain(X_1073))
| multiplication(domain(domain(X_1073)),one) = domain(X_1073) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(multiplication(domain(domain(X_1073)),one))),bind(Y,$fot(domain(domain(X_1073)))),bind(Z,$fot(domain(X_1073)))]]) ).
cnf(refute_0_226,plain,
( domain(domain(X_1073)) != domain(X_1073)
| multiplication(domain(domain(X_1073)),one) = domain(X_1073) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_1073)),one),domain(domain(X_1073))) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
multiplication(domain(domain(X_1073)),one) = domain(X_1073),
inference(resolve,[$cnf( $equal(domain(domain(X_1073)),domain(X_1073)) )],[refute_0_221,refute_0_226]) ).
cnf(refute_0_228,plain,
( multiplication(domain(domain(X_1073)),one) != domain(X_1073)
| multiplication(domain(domain(X_1073)),one) != multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))
| domain(X_1073) = multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_1073)),one),multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) ),[0],$fot(domain(X_1073))]]) ).
cnf(refute_0_229,plain,
( multiplication(domain(domain(X_1073)),one) != multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))
| domain(X_1073) = multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_1073)),one),domain(X_1073)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) = multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))))]]) ).
cnf(refute_0_231,plain,
( domain(domain(X_1073)) != domain(X_1073)
| multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) != multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))
| multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) = multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))),multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) ),[1,0],$fot(domain(X_1073))]]) ).
cnf(refute_0_232,plain,
( domain(domain(X_1073)) != domain(X_1073)
| multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) = multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))),multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) = multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))),
inference(resolve,[$cnf( $equal(domain(domain(X_1073)),domain(X_1073)) )],[refute_0_221,refute_0_232]) ).
cnf(refute_0_234,plain,
( domain(X_1073) != multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))
| multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))) != multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))
| domain(X_1073) = multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(X_1073),multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))) ),[0],$fot(multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))))]]) ).
cnf(refute_0_235,plain,
( domain(X_1073) != multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))
| domain(X_1073) = multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073)))),multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( multiplication(domain(domain(X_1073)),one) != multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))
| domain(X_1073) = multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) ),
inference(resolve,[$cnf( $equal(domain(X_1073),multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) )],[refute_0_229,refute_0_235]) ).
cnf(refute_0_237,plain,
domain(X_1073) = multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_1073)),one),multiplication(domain(domain(X_1073)),domain(antidomain(antidomain(X_1073))))) )],[refute_0_220,refute_0_236]) ).
cnf(refute_0_238,plain,
multiplication(domain(X_174),addition(X_173,X_174)) = addition(multiplication(domain(X_174),X_173),multiplication(domain(X_174),X_174)),
inference(subst,[],[refute_0_111:[bind(A,$fot(domain(X_174))),bind(B,$fot(X_173)),bind(C,$fot(X_174))]]) ).
cnf(refute_0_239,plain,
multiplication(addition(X_96,one),X_98) = addition(multiplication(X_96,X_98),multiplication(one,X_98)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_96)),bind(B,$fot(one)),bind(C,$fot(X_98))]]) ).
cnf(refute_0_240,plain,
( multiplication(addition(X_96,one),X_98) != addition(multiplication(X_96,X_98),multiplication(one,X_98))
| multiplication(one,X_98) != X_98
| multiplication(addition(X_96,one),X_98) = addition(multiplication(X_96,X_98),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_96,one),X_98),addition(multiplication(X_96,X_98),multiplication(one,X_98))) ),[1,1],$fot(X_98)]]) ).
cnf(refute_0_241,plain,
( multiplication(addition(X_96,one),X_98) != addition(multiplication(X_96,X_98),multiplication(one,X_98))
| multiplication(addition(X_96,one),X_98) = addition(multiplication(X_96,X_98),X_98) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_98),X_98) )],[refute_0_162,refute_0_240]) ).
cnf(refute_0_242,plain,
multiplication(addition(X_96,one),X_98) = addition(multiplication(X_96,X_98),X_98),
inference(resolve,[$cnf( $equal(multiplication(addition(X_96,one),X_98),addition(multiplication(X_96,X_98),multiplication(one,X_98))) )],[refute_0_239,refute_0_241]) ).
cnf(refute_0_243,plain,
addition(multiplication(X_96,X_98),X_98) = addition(X_98,multiplication(X_96,X_98)),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_98)),bind(B,$fot(multiplication(X_96,X_98)))]]) ).
cnf(refute_0_244,plain,
( addition(multiplication(X_96,X_98),X_98) != addition(X_98,multiplication(X_96,X_98))
| multiplication(addition(X_96,one),X_98) != addition(multiplication(X_96,X_98),X_98)
| multiplication(addition(X_96,one),X_98) = addition(X_98,multiplication(X_96,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_96,one),X_98),addition(multiplication(X_96,X_98),X_98)) ),[1],$fot(addition(X_98,multiplication(X_96,X_98)))]]) ).
cnf(refute_0_245,plain,
( multiplication(addition(X_96,one),X_98) != addition(multiplication(X_96,X_98),X_98)
| multiplication(addition(X_96,one),X_98) = addition(X_98,multiplication(X_96,X_98)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_96,X_98),X_98),addition(X_98,multiplication(X_96,X_98))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiplication(addition(X_96,one),X_98) = addition(X_98,multiplication(X_96,X_98)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_96,one),X_98),addition(multiplication(X_96,X_98),X_98)) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
multiplication(addition(domain(X0),one),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(subst,[],[refute_0_246:[bind(X_96,$fot(domain(X0))),bind(X_98,$fot(X0))]]) ).
cnf(refute_0_248,plain,
( multiplication(addition(domain(X0),one),X0) != addition(X0,multiplication(domain(X0),X0))
| addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(addition(X0,multiplication(domain(X0),X0))))]]) ).
cnf(refute_0_249,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),addition(X0,multiplication(domain(X0),X0))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(addition(domain(X0),one),X0)
| addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) ),[0],$fot(multiplication(addition(domain(X0),one),X0))]]) ).
cnf(refute_0_251,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(addition(domain(X0),one),X0)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) )],[refute_0_49,refute_0_251]) ).
cnf(refute_0_253,plain,
multiplication(one,X0) = X0,
inference(subst,[],[refute_0_75:[bind(A,$fot(X0))]]) ).
cnf(refute_0_254,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(addition(one,domain(X0)),X0),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),X0))]]) ).
cnf(refute_0_255,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) != multiplication(addition(one,domain(X0)),X0)
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_256,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_60,refute_0_256]) ).
cnf(refute_0_258,plain,
( multiplication(addition(one,domain(X0)),X0) != multiplication(one,X0)
| multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(subst,[],[refute_0_224:[bind(X,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Y,$fot(multiplication(one,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_259,plain,
( multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(one,X0)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiplication(addition(one,domain(X0)),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(one,X0),X0) )],[refute_0_253,refute_0_259]) ).
cnf(refute_0_261,plain,
addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) = addition(multiplication(X_96,X_98),multiplication(X_97,X_98)),
inference(subst,[],[refute_0_24:[bind(A,$fot(multiplication(X_97,X_98))),bind(B,$fot(multiplication(X_96,X_98)))]]) ).
cnf(refute_0_262,plain,
multiplication(addition(X_96,X_97),X_98) = addition(multiplication(X_96,X_98),multiplication(X_97,X_98)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_96)),bind(B,$fot(X_97)),bind(C,$fot(X_98))]]) ).
cnf(refute_0_263,plain,
( multiplication(addition(X_96,X_97),X_98) != addition(multiplication(X_96,X_98),multiplication(X_97,X_98))
| addition(multiplication(X_96,X_98),multiplication(X_97,X_98)) = multiplication(addition(X_96,X_97),X_98) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(multiplication(addition(X_96,X_97),X_98))),bind(Y,$fot(addition(multiplication(X_96,X_98),multiplication(X_97,X_98))))]]) ).
cnf(refute_0_264,plain,
addition(multiplication(X_96,X_98),multiplication(X_97,X_98)) = multiplication(addition(X_96,X_97),X_98),
inference(resolve,[$cnf( $equal(multiplication(addition(X_96,X_97),X_98),addition(multiplication(X_96,X_98),multiplication(X_97,X_98))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( addition(multiplication(X_96,X_98),multiplication(X_97,X_98)) != multiplication(addition(X_96,X_97),X_98)
| addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) != addition(multiplication(X_96,X_98),multiplication(X_97,X_98))
| addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) = multiplication(addition(X_96,X_97),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_97,X_98),multiplication(X_96,X_98)),addition(multiplication(X_96,X_98),multiplication(X_97,X_98))) ),[1],$fot(multiplication(addition(X_96,X_97),X_98))]]) ).
cnf(refute_0_266,plain,
( addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) != addition(multiplication(X_96,X_98),multiplication(X_97,X_98))
| addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) = multiplication(addition(X_96,X_97),X_98) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_96,X_98),multiplication(X_97,X_98)),multiplication(addition(X_96,X_97),X_98)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) = multiplication(addition(X_96,X_97),X_98),
inference(resolve,[$cnf( $equal(addition(multiplication(X_97,X_98),multiplication(X_96,X_98)),addition(multiplication(X_96,X_98),multiplication(X_97,X_98))) )],[refute_0_261,refute_0_266]) ).
cnf(refute_0_268,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_269,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_1,refute_0_268]) ).
cnf(refute_0_270,plain,
addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) = multiplication(addition(X_97,X_96),X_98),
inference(subst,[],[refute_0_269:[bind(A,$fot(X_97)),bind(B,$fot(X_96)),bind(C,$fot(X_98))]]) ).
cnf(refute_0_271,plain,
( addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) != multiplication(addition(X_96,X_97),X_98)
| addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) != multiplication(addition(X_97,X_96),X_98)
| multiplication(addition(X_97,X_96),X_98) = multiplication(addition(X_96,X_97),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_97,X_98),multiplication(X_96,X_98)),multiplication(addition(X_96,X_97),X_98)) ),[0],$fot(multiplication(addition(X_97,X_96),X_98))]]) ).
cnf(refute_0_272,plain,
( addition(multiplication(X_97,X_98),multiplication(X_96,X_98)) != multiplication(addition(X_96,X_97),X_98)
| multiplication(addition(X_97,X_96),X_98) = multiplication(addition(X_96,X_97),X_98) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_97,X_98),multiplication(X_96,X_98)),multiplication(addition(X_97,X_96),X_98)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
multiplication(addition(X_97,X_96),X_98) = multiplication(addition(X_96,X_97),X_98),
inference(resolve,[$cnf( $equal(addition(multiplication(X_97,X_98),multiplication(X_96,X_98)),multiplication(addition(X_96,X_97),X_98)) )],[refute_0_267,refute_0_272]) ).
cnf(refute_0_274,plain,
( multiplication(addition(X_97,X_96),X_98) != multiplication(addition(X_96,X_97),X_98)
| multiplication(addition(X_96,X_97),X_98) = multiplication(addition(X_97,X_96),X_98) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(multiplication(addition(X_97,X_96),X_98))),bind(Y,$fot(multiplication(addition(X_96,X_97),X_98)))]]) ).
cnf(refute_0_275,plain,
multiplication(addition(X_96,X_97),X_98) = multiplication(addition(X_97,X_96),X_98),
inference(resolve,[$cnf( $equal(multiplication(addition(X_97,X_96),X_98),multiplication(addition(X_96,X_97),X_98)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(addition(one,domain(X0)),X0),
inference(subst,[],[refute_0_275:[bind(X_96,$fot(domain(X0))),bind(X_97,$fot(one)),bind(X_98,$fot(X0))]]) ).
cnf(refute_0_277,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(addition(one,domain(X0)),X0)
| multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(subst,[],[refute_0_224:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_278,plain,
( multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiplication(addition(domain(X0),one),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),X0) )],[refute_0_260,refute_0_278]) ).
cnf(refute_0_280,plain,
( multiplication(addition(domain(X0),one),X0) != X0
| multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_281,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),X0) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
X0 = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) )],[refute_0_252,refute_0_281]) ).
cnf(refute_0_283,plain,
X_174 = multiplication(domain(X_174),X_174),
inference(subst,[],[refute_0_282:[bind(X0,$fot(X_174))]]) ).
cnf(refute_0_284,plain,
( X_174 != multiplication(domain(X_174),X_174)
| multiplication(domain(X_174),X_174) = X_174 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(X_174)),bind(Y,$fot(multiplication(domain(X_174),X_174)))]]) ).
cnf(refute_0_285,plain,
multiplication(domain(X_174),X_174) = X_174,
inference(resolve,[$cnf( $equal(X_174,multiplication(domain(X_174),X_174)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
( multiplication(domain(X_174),X_174) != X_174
| multiplication(domain(X_174),addition(X_173,X_174)) != addition(multiplication(domain(X_174),X_173),multiplication(domain(X_174),X_174))
| multiplication(domain(X_174),addition(X_173,X_174)) = addition(multiplication(domain(X_174),X_173),X_174) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_174),addition(X_173,X_174)),addition(multiplication(domain(X_174),X_173),multiplication(domain(X_174),X_174))) ),[1,1],$fot(X_174)]]) ).
cnf(refute_0_287,plain,
( multiplication(domain(X_174),addition(X_173,X_174)) != addition(multiplication(domain(X_174),X_173),multiplication(domain(X_174),X_174))
| multiplication(domain(X_174),addition(X_173,X_174)) = addition(multiplication(domain(X_174),X_173),X_174) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_174),X_174),X_174) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
multiplication(domain(X_174),addition(X_173,X_174)) = addition(multiplication(domain(X_174),X_173),X_174),
inference(resolve,[$cnf( $equal(multiplication(domain(X_174),addition(X_173,X_174)),addition(multiplication(domain(X_174),X_173),multiplication(domain(X_174),X_174))) )],[refute_0_238,refute_0_287]) ).
cnf(refute_0_289,plain,
addition(multiplication(domain(X_174),X_173),X_174) = addition(X_174,multiplication(domain(X_174),X_173)),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_174)),bind(B,$fot(multiplication(domain(X_174),X_173)))]]) ).
cnf(refute_0_290,plain,
( addition(multiplication(domain(X_174),X_173),X_174) != addition(X_174,multiplication(domain(X_174),X_173))
| multiplication(domain(X_174),addition(X_173,X_174)) != addition(multiplication(domain(X_174),X_173),X_174)
| multiplication(domain(X_174),addition(X_173,X_174)) = addition(X_174,multiplication(domain(X_174),X_173)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_174),addition(X_173,X_174)),addition(multiplication(domain(X_174),X_173),X_174)) ),[1],$fot(addition(X_174,multiplication(domain(X_174),X_173)))]]) ).
cnf(refute_0_291,plain,
( multiplication(domain(X_174),addition(X_173,X_174)) != addition(multiplication(domain(X_174),X_173),X_174)
| multiplication(domain(X_174),addition(X_173,X_174)) = addition(X_174,multiplication(domain(X_174),X_173)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_174),X_173),X_174),addition(X_174,multiplication(domain(X_174),X_173))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiplication(domain(X_174),addition(X_173,X_174)) = addition(X_174,multiplication(domain(X_174),X_173)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_174),addition(X_173,X_174)),addition(multiplication(domain(X_174),X_173),X_174)) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
multiplication(domain(antidomain(domain(X_15))),addition(domain(X_15),antidomain(domain(X_15)))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))),
inference(subst,[],[refute_0_292:[bind(X_173,$fot(domain(X_15))),bind(X_174,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_294,plain,
addition(antidomain(domain(X_15)),domain(domain(X_15))) = one,
inference(subst,[],[refute_0_45:[bind(X1,$fot(domain(X_15)))]]) ).
cnf(refute_0_295,plain,
domain(X_15) = domain(domain(X_15)),
inference(subst,[],[refute_0_87:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_296,plain,
( domain(X_15) != domain(domain(X_15))
| domain(domain(X_15)) = domain(X_15) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(X_15))),bind(Y,$fot(domain(domain(X_15))))]]) ).
cnf(refute_0_297,plain,
domain(domain(X_15)) = domain(X_15),
inference(resolve,[$cnf( $equal(domain(X_15),domain(domain(X_15))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
( addition(antidomain(domain(X_15)),domain(domain(X_15))) != one
| domain(domain(X_15)) != domain(X_15)
| addition(antidomain(domain(X_15)),domain(X_15)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(domain(X_15))),one) ),[0,1],$fot(domain(X_15))]]) ).
cnf(refute_0_299,plain,
( addition(antidomain(domain(X_15)),domain(domain(X_15))) != one
| addition(antidomain(domain(X_15)),domain(X_15)) = one ),
inference(resolve,[$cnf( $equal(domain(domain(X_15)),domain(X_15)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
addition(antidomain(domain(X_15)),domain(X_15)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(domain(X_15))),one) )],[refute_0_294,refute_0_299]) ).
cnf(refute_0_301,plain,
addition(antidomain(domain(X_15)),domain(X_15)) = addition(domain(X_15),antidomain(domain(X_15))),
inference(subst,[],[refute_0_41:[bind(A,$fot(domain(X_15))),bind(B,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_302,plain,
( addition(antidomain(domain(X_15)),domain(X_15)) != addition(domain(X_15),antidomain(domain(X_15)))
| addition(antidomain(domain(X_15)),domain(X_15)) != one
| addition(domain(X_15),antidomain(domain(X_15))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(X_15)),one) ),[0],$fot(addition(domain(X_15),antidomain(domain(X_15))))]]) ).
cnf(refute_0_303,plain,
( addition(antidomain(domain(X_15)),domain(X_15)) != one
| addition(domain(X_15),antidomain(domain(X_15))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(X_15)),addition(domain(X_15),antidomain(domain(X_15)))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
addition(domain(X_15),antidomain(domain(X_15))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(X_15)),one) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
( addition(domain(X_15),antidomain(domain(X_15))) != one
| multiplication(domain(antidomain(domain(X_15))),addition(domain(X_15),antidomain(domain(X_15)))) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| multiplication(domain(antidomain(domain(X_15))),one) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_15))),addition(domain(X_15),antidomain(domain(X_15)))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_306,plain,
( multiplication(domain(antidomain(domain(X_15))),addition(domain(X_15),antidomain(domain(X_15)))) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| multiplication(domain(antidomain(domain(X_15))),one) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_15),antidomain(domain(X_15))),one) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
multiplication(domain(antidomain(domain(X_15))),one) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_15))),addition(domain(X_15),antidomain(domain(X_15)))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) )],[refute_0_293,refute_0_306]) ).
cnf(refute_0_308,plain,
multiplication(domain(antidomain(domain(X_15))),one) = domain(antidomain(domain(X_15))),
inference(subst,[],[refute_0_51:[bind(A,$fot(domain(antidomain(domain(X_15)))))]]) ).
cnf(refute_0_309,plain,
( multiplication(domain(antidomain(domain(X_15))),one) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| multiplication(domain(antidomain(domain(X_15))),one) != domain(antidomain(domain(X_15)))
| domain(antidomain(domain(X_15))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_15))),one),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) ),[0],$fot(domain(antidomain(domain(X_15))))]]) ).
cnf(refute_0_310,plain,
( multiplication(domain(antidomain(domain(X_15))),one) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| domain(antidomain(domain(X_15))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_15))),one),domain(antidomain(domain(X_15)))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
domain(antidomain(domain(X_15))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_15))),one),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))) = domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(domain(antidomain(X_367)))),bind(X1,$fot(domain(antidomain(domain(X_367)))))]]) ).
cnf(refute_0_313,plain,
multiplication(domain(antidomain(X_244)),addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244))))) = multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244)))),
inference(subst,[],[refute_0_123:[bind(X1,$fot(antidomain(X_244))),bind(X_174,$fot(domain(antidomain(domain(X_244)))))]]) ).
cnf(refute_0_314,plain,
addition(antidomain(multiplication(X_172,X_174)),domain(addition(multiplication(X_172,X_173),multiplication(X_172,X_174)))) = one,
inference(subst,[],[refute_0_147:[bind(X_56,$fot(multiplication(X_172,X_173))),bind(X_57,$fot(multiplication(X_172,X_174)))]]) ).
cnf(refute_0_315,plain,
multiplication(X_172,addition(X_173,X_174)) = addition(multiplication(X_172,X_173),multiplication(X_172,X_174)),
inference(subst,[],[refute_0_111:[bind(A,$fot(X_172)),bind(B,$fot(X_173)),bind(C,$fot(X_174))]]) ).
cnf(refute_0_316,plain,
( multiplication(X_172,addition(X_173,X_174)) != addition(multiplication(X_172,X_173),multiplication(X_172,X_174))
| addition(multiplication(X_172,X_173),multiplication(X_172,X_174)) = multiplication(X_172,addition(X_173,X_174)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(multiplication(X_172,addition(X_173,X_174)))),bind(Y,$fot(addition(multiplication(X_172,X_173),multiplication(X_172,X_174))))]]) ).
cnf(refute_0_317,plain,
addition(multiplication(X_172,X_173),multiplication(X_172,X_174)) = multiplication(X_172,addition(X_173,X_174)),
inference(resolve,[$cnf( $equal(multiplication(X_172,addition(X_173,X_174)),addition(multiplication(X_172,X_173),multiplication(X_172,X_174))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
( addition(antidomain(multiplication(X_172,X_174)),domain(addition(multiplication(X_172,X_173),multiplication(X_172,X_174)))) != one
| addition(multiplication(X_172,X_173),multiplication(X_172,X_174)) != multiplication(X_172,addition(X_173,X_174))
| addition(antidomain(multiplication(X_172,X_174)),domain(multiplication(X_172,addition(X_173,X_174)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_172,X_174)),domain(addition(multiplication(X_172,X_173),multiplication(X_172,X_174)))),one) ),[0,1,0],$fot(multiplication(X_172,addition(X_173,X_174)))]]) ).
cnf(refute_0_319,plain,
( addition(antidomain(multiplication(X_172,X_174)),domain(addition(multiplication(X_172,X_173),multiplication(X_172,X_174)))) != one
| addition(antidomain(multiplication(X_172,X_174)),domain(multiplication(X_172,addition(X_173,X_174)))) = one ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_172,X_173),multiplication(X_172,X_174)),multiplication(X_172,addition(X_173,X_174))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
addition(antidomain(multiplication(X_172,X_174)),domain(multiplication(X_172,addition(X_173,X_174)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_172,X_174)),domain(addition(multiplication(X_172,X_173),multiplication(X_172,X_174)))),one) )],[refute_0_314,refute_0_319]) ).
cnf(refute_0_321,plain,
addition(antidomain(multiplication(X_322,X_324)),domain(multiplication(X_322,addition(one,X_324)))) = one,
inference(subst,[],[refute_0_320:[bind(X_172,$fot(X_322)),bind(X_173,$fot(one)),bind(X_174,$fot(X_324))]]) ).
cnf(refute_0_322,plain,
domain(multiplication(X0,addition(one,X_29))) = domain(multiplication(X0,domain(addition(one,X_29)))),
inference(subst,[],[refute_0_73:[bind(X1,$fot(addition(one,X_29)))]]) ).
cnf(refute_0_323,plain,
domain(addition(one,X_25)) = addition(domain(one),domain(X_25)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(one)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_324,plain,
( domain(addition(one,X_25)) != addition(domain(one),domain(X_25))
| domain(one) != one
| domain(addition(one,X_25)) = addition(one,domain(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_25)),addition(domain(one),domain(X_25))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_325,plain,
( domain(addition(one,X_25)) != addition(domain(one),domain(X_25))
| domain(addition(one,X_25)) = addition(one,domain(X_25)) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_69,refute_0_324]) ).
cnf(refute_0_326,plain,
domain(addition(one,X_25)) = addition(one,domain(X_25)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_25)),addition(domain(one),domain(X_25))) )],[refute_0_323,refute_0_325]) ).
cnf(refute_0_327,plain,
addition(one,domain(X_25)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(X_25))]]) ).
cnf(refute_0_328,plain,
( addition(one,domain(X_25)) != one
| domain(addition(one,X_25)) != addition(one,domain(X_25))
| domain(addition(one,X_25)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_25)),addition(one,domain(X_25))) ),[1],$fot(one)]]) ).
cnf(refute_0_329,plain,
( domain(addition(one,X_25)) != addition(one,domain(X_25))
| domain(addition(one,X_25)) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_25)),one) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
domain(addition(one,X_25)) = one,
inference(resolve,[$cnf( $equal(domain(addition(one,X_25)),addition(one,domain(X_25))) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
domain(addition(one,X_29)) = one,
inference(subst,[],[refute_0_330:[bind(X_25,$fot(X_29))]]) ).
cnf(refute_0_332,plain,
( domain(addition(one,X_29)) != one
| domain(multiplication(X0,addition(one,X_29))) != domain(multiplication(X0,domain(addition(one,X_29))))
| domain(multiplication(X0,addition(one,X_29))) = domain(multiplication(X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,addition(one,X_29))),domain(multiplication(X0,domain(addition(one,X_29))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_333,plain,
( domain(multiplication(X0,addition(one,X_29))) != domain(multiplication(X0,domain(addition(one,X_29))))
| domain(multiplication(X0,addition(one,X_29))) = domain(multiplication(X0,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X_29)),one) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
domain(multiplication(X0,addition(one,X_29))) = domain(multiplication(X0,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(one,X_29))),domain(multiplication(X0,domain(addition(one,X_29))))) )],[refute_0_322,refute_0_333]) ).
cnf(refute_0_335,plain,
( domain(multiplication(X0,addition(one,X_29))) != domain(multiplication(X0,one))
| domain(multiplication(X0,one)) != domain(X0)
| domain(multiplication(X0,addition(one,X_29))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X0,addition(one,X_29))),domain(X0)) ),[0],$fot(domain(multiplication(X0,one)))]]) ).
cnf(refute_0_336,plain,
( domain(multiplication(X0,addition(one,X_29))) != domain(multiplication(X0,one))
| domain(multiplication(X0,addition(one,X_29))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,one)),domain(X0)) )],[refute_0_196,refute_0_335]) ).
cnf(refute_0_337,plain,
domain(multiplication(X0,addition(one,X_29))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(one,X_29))),domain(multiplication(X0,one))) )],[refute_0_334,refute_0_336]) ).
cnf(refute_0_338,plain,
domain(multiplication(X_322,addition(one,X_324))) = domain(X_322),
inference(subst,[],[refute_0_337:[bind(X0,$fot(X_322)),bind(X_29,$fot(X_324))]]) ).
cnf(refute_0_339,plain,
( addition(antidomain(multiplication(X_322,X_324)),domain(multiplication(X_322,addition(one,X_324)))) != one
| domain(multiplication(X_322,addition(one,X_324))) != domain(X_322)
| addition(antidomain(multiplication(X_322,X_324)),domain(X_322)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_322,X_324)),domain(multiplication(X_322,addition(one,X_324)))),one) ),[0,1],$fot(domain(X_322))]]) ).
cnf(refute_0_340,plain,
( addition(antidomain(multiplication(X_322,X_324)),domain(multiplication(X_322,addition(one,X_324)))) != one
| addition(antidomain(multiplication(X_322,X_324)),domain(X_322)) = one ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_322,addition(one,X_324))),domain(X_322)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
addition(antidomain(multiplication(X_322,X_324)),domain(X_322)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_322,X_324)),domain(multiplication(X_322,addition(one,X_324)))),one) )],[refute_0_321,refute_0_340]) ).
cnf(refute_0_342,plain,
addition(antidomain(multiplication(X_322,X_324)),domain(X_322)) = addition(domain(X_322),antidomain(multiplication(X_322,X_324))),
inference(subst,[],[refute_0_41:[bind(A,$fot(domain(X_322))),bind(B,$fot(antidomain(multiplication(X_322,X_324))))]]) ).
cnf(refute_0_343,plain,
( addition(antidomain(multiplication(X_322,X_324)),domain(X_322)) != addition(domain(X_322),antidomain(multiplication(X_322,X_324)))
| addition(antidomain(multiplication(X_322,X_324)),domain(X_322)) != one
| addition(domain(X_322),antidomain(multiplication(X_322,X_324))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_322,X_324)),domain(X_322)),one) ),[0],$fot(addition(domain(X_322),antidomain(multiplication(X_322,X_324))))]]) ).
cnf(refute_0_344,plain,
( addition(antidomain(multiplication(X_322,X_324)),domain(X_322)) != one
| addition(domain(X_322),antidomain(multiplication(X_322,X_324))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_322,X_324)),domain(X_322)),addition(domain(X_322),antidomain(multiplication(X_322,X_324)))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
addition(domain(X_322),antidomain(multiplication(X_322,X_324))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_322,X_324)),domain(X_322)),one) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
addition(domain(antidomain(domain(X_244))),antidomain(multiplication(antidomain(domain(X_244)),antidomain(X_244)))) = one,
inference(subst,[],[refute_0_345:[bind(X_322,$fot(antidomain(domain(X_244)))),bind(X_324,$fot(antidomain(X_244)))]]) ).
cnf(refute_0_347,plain,
multiplication(addition(domain(X1),X_97),antidomain(X1)) = addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_97,antidomain(X1))),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X1))),bind(B,$fot(X_97)),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_348,plain,
( multiplication(addition(domain(X1),X_97),antidomain(X1)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_97,antidomain(X1)))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(addition(domain(X1),X_97),antidomain(X1)) = addition(zero,multiplication(X_97,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X1),X_97),antidomain(X1)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_97,antidomain(X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_349,plain,
( multiplication(addition(domain(X1),X_97),antidomain(X1)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_97,antidomain(X1)))
| multiplication(addition(domain(X1),X_97),antidomain(X1)) = addition(zero,multiplication(X_97,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_3,refute_0_348]) ).
cnf(refute_0_350,plain,
multiplication(addition(domain(X1),X_97),antidomain(X1)) = addition(zero,multiplication(X_97,antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X1),X_97),antidomain(X1)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_97,antidomain(X1)))) )],[refute_0_347,refute_0_349]) ).
cnf(refute_0_351,plain,
addition(zero,multiplication(X_97,antidomain(X1))) = multiplication(X_97,antidomain(X1)),
inference(subst,[],[refute_0_119:[bind(A,$fot(multiplication(X_97,antidomain(X1))))]]) ).
cnf(refute_0_352,plain,
( addition(zero,multiplication(X_97,antidomain(X1))) != multiplication(X_97,antidomain(X1))
| multiplication(addition(domain(X1),X_97),antidomain(X1)) != addition(zero,multiplication(X_97,antidomain(X1)))
| multiplication(addition(domain(X1),X_97),antidomain(X1)) = multiplication(X_97,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X1),X_97),antidomain(X1)),addition(zero,multiplication(X_97,antidomain(X1)))) ),[1],$fot(multiplication(X_97,antidomain(X1)))]]) ).
cnf(refute_0_353,plain,
( multiplication(addition(domain(X1),X_97),antidomain(X1)) != addition(zero,multiplication(X_97,antidomain(X1)))
| multiplication(addition(domain(X1),X_97),antidomain(X1)) = multiplication(X_97,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_97,antidomain(X1))),multiplication(X_97,antidomain(X1))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
multiplication(addition(domain(X1),X_97),antidomain(X1)) = multiplication(X_97,antidomain(X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X1),X_97),antidomain(X1)),addition(zero,multiplication(X_97,antidomain(X1)))) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
multiplication(addition(domain(X_244),antidomain(domain(X_244))),antidomain(X_244)) = multiplication(antidomain(domain(X_244)),antidomain(X_244)),
inference(subst,[],[refute_0_354:[bind(X1,$fot(X_244)),bind(X_97,$fot(antidomain(domain(X_244))))]]) ).
cnf(refute_0_356,plain,
addition(domain(X_244),antidomain(domain(X_244))) = one,
inference(subst,[],[refute_0_304:[bind(X_15,$fot(X_244))]]) ).
cnf(refute_0_357,plain,
( addition(domain(X_244),antidomain(domain(X_244))) != one
| multiplication(addition(domain(X_244),antidomain(domain(X_244))),antidomain(X_244)) != multiplication(antidomain(domain(X_244)),antidomain(X_244))
| multiplication(one,antidomain(X_244)) = multiplication(antidomain(domain(X_244)),antidomain(X_244)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_244),antidomain(domain(X_244))),antidomain(X_244)),multiplication(antidomain(domain(X_244)),antidomain(X_244))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_358,plain,
( multiplication(addition(domain(X_244),antidomain(domain(X_244))),antidomain(X_244)) != multiplication(antidomain(domain(X_244)),antidomain(X_244))
| multiplication(one,antidomain(X_244)) = multiplication(antidomain(domain(X_244)),antidomain(X_244)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_244),antidomain(domain(X_244))),one) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
multiplication(one,antidomain(X_244)) = multiplication(antidomain(domain(X_244)),antidomain(X_244)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_244),antidomain(domain(X_244))),antidomain(X_244)),multiplication(antidomain(domain(X_244)),antidomain(X_244))) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
multiplication(one,antidomain(X_244)) = antidomain(X_244),
inference(subst,[],[refute_0_75:[bind(A,$fot(antidomain(X_244)))]]) ).
cnf(refute_0_361,plain,
( multiplication(one,antidomain(X_244)) != antidomain(X_244)
| multiplication(one,antidomain(X_244)) != multiplication(antidomain(domain(X_244)),antidomain(X_244))
| antidomain(X_244) = multiplication(antidomain(domain(X_244)),antidomain(X_244)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(X_244)),multiplication(antidomain(domain(X_244)),antidomain(X_244))) ),[0],$fot(antidomain(X_244))]]) ).
cnf(refute_0_362,plain,
( multiplication(one,antidomain(X_244)) != multiplication(antidomain(domain(X_244)),antidomain(X_244))
| antidomain(X_244) = multiplication(antidomain(domain(X_244)),antidomain(X_244)) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_244)),antidomain(X_244)) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
antidomain(X_244) = multiplication(antidomain(domain(X_244)),antidomain(X_244)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_244)),multiplication(antidomain(domain(X_244)),antidomain(X_244))) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
( antidomain(X_244) != multiplication(antidomain(domain(X_244)),antidomain(X_244))
| multiplication(antidomain(domain(X_244)),antidomain(X_244)) = antidomain(X_244) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(antidomain(X_244))),bind(Y,$fot(multiplication(antidomain(domain(X_244)),antidomain(X_244))))]]) ).
cnf(refute_0_365,plain,
multiplication(antidomain(domain(X_244)),antidomain(X_244)) = antidomain(X_244),
inference(resolve,[$cnf( $equal(antidomain(X_244),multiplication(antidomain(domain(X_244)),antidomain(X_244))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( addition(domain(antidomain(domain(X_244))),antidomain(multiplication(antidomain(domain(X_244)),antidomain(X_244)))) != one
| multiplication(antidomain(domain(X_244)),antidomain(X_244)) != antidomain(X_244)
| addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(domain(X_244))),antidomain(multiplication(antidomain(domain(X_244)),antidomain(X_244)))),one) ),[0,1,0],$fot(antidomain(X_244))]]) ).
cnf(refute_0_367,plain,
( addition(domain(antidomain(domain(X_244))),antidomain(multiplication(antidomain(domain(X_244)),antidomain(X_244)))) != one
| addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))) = one ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_244)),antidomain(X_244)),antidomain(X_244)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_244))),antidomain(multiplication(antidomain(domain(X_244)),antidomain(X_244)))),one) )],[refute_0_346,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))) = addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244)))),
inference(subst,[],[refute_0_41:[bind(A,$fot(antidomain(antidomain(X_244)))),bind(B,$fot(domain(antidomain(domain(X_244)))))]]) ).
cnf(refute_0_370,plain,
( addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))) != addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244))))
| addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))) != one
| addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))),one) ),[0],$fot(addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244)))))]]) ).
cnf(refute_0_371,plain,
( addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))) != one
| addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244)))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))),addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244))))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_244))),antidomain(antidomain(X_244))),one) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
( addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244)))) != one
| multiplication(domain(antidomain(X_244)),addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244))))) != multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244))))
| multiplication(domain(antidomain(X_244)),one) = multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_244)),addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244))))),multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_374,plain,
( multiplication(domain(antidomain(X_244)),addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244))))) != multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244))))
| multiplication(domain(antidomain(X_244)),one) = multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244)))),one) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
multiplication(domain(antidomain(X_244)),one) = multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244)))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_244)),addition(antidomain(antidomain(X_244)),domain(antidomain(domain(X_244))))),multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244))))) )],[refute_0_313,refute_0_374]) ).
cnf(refute_0_376,plain,
multiplication(domain(antidomain(X_244)),one) = domain(antidomain(X_244)),
inference(subst,[],[refute_0_51:[bind(A,$fot(domain(antidomain(X_244))))]]) ).
cnf(refute_0_377,plain,
( multiplication(domain(antidomain(X_244)),one) != domain(antidomain(X_244))
| multiplication(domain(antidomain(X_244)),one) != multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244))))
| domain(antidomain(X_244)) = multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_244)),one),multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244))))) ),[0],$fot(domain(antidomain(X_244)))]]) ).
cnf(refute_0_378,plain,
( multiplication(domain(antidomain(X_244)),one) != multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244))))
| domain(antidomain(X_244)) = multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_244)),one),domain(antidomain(X_244))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
domain(antidomain(X_244)) = multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244)))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_244)),one),multiplication(domain(antidomain(X_244)),domain(antidomain(domain(X_244))))) )],[refute_0_375,refute_0_378]) ).
cnf(refute_0_380,plain,
domain(antidomain(X_367)) = multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))),
inference(subst,[],[refute_0_379:[bind(X_244,$fot(X_367))]]) ).
cnf(refute_0_381,plain,
( domain(antidomain(X_367)) != multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))
| multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))) = domain(antidomain(X_367)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(antidomain(X_367)))),bind(Y,$fot(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))))]]) ).
cnf(refute_0_382,plain,
multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))) = domain(antidomain(X_367)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_367)),multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
( domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))) != domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))
| multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))) != domain(antidomain(X_367))
| domain(domain(antidomain(X_367))) = domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))),domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))) ),[0,0],$fot(domain(antidomain(X_367)))]]) ).
cnf(refute_0_384,plain,
( domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))) != domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))
| domain(domain(antidomain(X_367))) = domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))),domain(antidomain(X_367))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
domain(domain(antidomain(X_367))) = domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))),domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))) )],[refute_0_312,refute_0_384]) ).
cnf(refute_0_386,plain,
domain(domain(antidomain(X_367))) = domain(antidomain(X_367)),
inference(subst,[],[refute_0_89:[bind(X_14,$fot(antidomain(X_367)))]]) ).
cnf(refute_0_387,plain,
( domain(domain(antidomain(X_367))) != domain(antidomain(X_367))
| domain(domain(antidomain(X_367))) != domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))
| domain(antidomain(X_367)) = domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(antidomain(X_367))),domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))) ),[0],$fot(domain(antidomain(X_367)))]]) ).
cnf(refute_0_388,plain,
( domain(domain(antidomain(X_367))) != domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))
| domain(antidomain(X_367)) = domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) ),
inference(resolve,[$cnf( $equal(domain(domain(antidomain(X_367))),domain(antidomain(X_367))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
( domain(multiplication(X0,X1)) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(multiplication(X0,X1)))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_390,plain,
domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,X1)),domain(multiplication(X0,domain(X1)))) )],[refute_0_73,refute_0_389]) ).
cnf(refute_0_391,plain,
domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))),
inference(subst,[],[refute_0_390:[bind(X0,$fot(domain(antidomain(X_367)))),bind(X1,$fot(antidomain(domain(X_367))))]]) ).
cnf(refute_0_392,plain,
domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) = domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))),
inference(subst,[],[refute_0_390:[bind(X0,$fot(domain(antidomain(X_367)))),bind(X1,$fot(domain(antidomain(domain(X_367)))))]]) ).
cnf(refute_0_393,plain,
( domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))) != domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))
| domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) != domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))))
| domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))))),bind(Y,$fot(domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))))),bind(Z,$fot(domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))))]]) ).
cnf(refute_0_394,plain,
( domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))) != domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))
| domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))),domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_367)),domain(antidomain(domain(X_367))))),domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
( domain(antidomain(X_367)) != domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))
| domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))) != domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))
| domain(antidomain(X_367)) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(antidomain(X_367)),domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))) ),[0],$fot(domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))))]]) ).
cnf(refute_0_397,plain,
( domain(antidomain(X_367)) != domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))
| domain(antidomain(X_367)) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367)))))),domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
( domain(domain(antidomain(X_367))) != domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))
| domain(antidomain(X_367)) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_367)),domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))) )],[refute_0_388,refute_0_397]) ).
cnf(refute_0_399,plain,
domain(antidomain(X_367)) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))),
inference(resolve,[$cnf( $equal(domain(domain(antidomain(X_367))),domain(multiplication(domain(antidomain(X_367)),domain(domain(antidomain(domain(X_367))))))) )],[refute_0_385,refute_0_398]) ).
cnf(refute_0_400,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_401,plain,
multiplication(domain(B),multiplication(B,C)) = multiplication(multiplication(domain(B),B),C),
inference(subst,[],[refute_0_400:[bind(A,$fot(domain(B)))]]) ).
cnf(refute_0_402,plain,
B = multiplication(domain(B),B),
inference(subst,[],[refute_0_282:[bind(X0,$fot(B))]]) ).
cnf(refute_0_403,plain,
( B != multiplication(domain(B),B)
| multiplication(domain(B),B) = B ),
inference(subst,[],[refute_0_17:[bind(X,$fot(B)),bind(Y,$fot(multiplication(domain(B),B)))]]) ).
cnf(refute_0_404,plain,
multiplication(domain(B),B) = B,
inference(resolve,[$cnf( $equal(B,multiplication(domain(B),B)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
( multiplication(domain(B),B) != B
| multiplication(domain(B),multiplication(B,C)) != multiplication(multiplication(domain(B),B),C)
| multiplication(domain(B),multiplication(B,C)) = multiplication(B,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(B),multiplication(B,C)),multiplication(multiplication(domain(B),B),C)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_406,plain,
( multiplication(domain(B),multiplication(B,C)) != multiplication(multiplication(domain(B),B),C)
| multiplication(domain(B),multiplication(B,C)) = multiplication(B,C) ),
inference(resolve,[$cnf( $equal(multiplication(domain(B),B),B) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
multiplication(domain(B),multiplication(B,C)) = multiplication(B,C),
inference(resolve,[$cnf( $equal(multiplication(domain(B),multiplication(B,C)),multiplication(multiplication(domain(B),B),C)) )],[refute_0_401,refute_0_406]) ).
cnf(refute_0_408,plain,
multiplication(domain(antidomain(X_388)),multiplication(antidomain(X_388),antidomain(domain(X_388)))) = multiplication(antidomain(X_388),antidomain(domain(X_388))),
inference(subst,[],[refute_0_407:[bind(B,$fot(antidomain(X_388))),bind(C,$fot(antidomain(domain(X_388))))]]) ).
cnf(refute_0_409,plain,
multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) = addition(multiplication(X_96,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15)))),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_96)),bind(B,$fot(domain(X_15))),bind(C,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_410,plain,
multiplication(domain(domain(X_15)),antidomain(domain(X_15))) = zero,
inference(subst,[],[refute_0_3:[bind(X1,$fot(domain(X_15)))]]) ).
cnf(refute_0_411,plain,
( domain(domain(X_15)) != domain(X_15)
| multiplication(domain(domain(X_15)),antidomain(domain(X_15))) != zero
| multiplication(domain(X_15),antidomain(domain(X_15))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_15)),antidomain(domain(X_15))),zero) ),[0,0],$fot(domain(X_15))]]) ).
cnf(refute_0_412,plain,
( multiplication(domain(domain(X_15)),antidomain(domain(X_15))) != zero
| multiplication(domain(X_15),antidomain(domain(X_15))) = zero ),
inference(resolve,[$cnf( $equal(domain(domain(X_15)),domain(X_15)) )],[refute_0_297,refute_0_411]) ).
cnf(refute_0_413,plain,
multiplication(domain(X_15),antidomain(domain(X_15))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_15)),antidomain(domain(X_15))),zero) )],[refute_0_410,refute_0_412]) ).
cnf(refute_0_414,plain,
( multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) != addition(multiplication(X_96,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15))))
| multiplication(domain(X_15),antidomain(domain(X_15))) != zero
| multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) = addition(multiplication(X_96,antidomain(domain(X_15))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))),addition(multiplication(X_96,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_415,plain,
( multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) != addition(multiplication(X_96,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15))))
| multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) = addition(multiplication(X_96,antidomain(domain(X_15))),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_15),antidomain(domain(X_15))),zero) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) = addition(multiplication(X_96,antidomain(domain(X_15))),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))),addition(multiplication(X_96,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15))))) )],[refute_0_409,refute_0_415]) ).
cnf(refute_0_417,plain,
addition(multiplication(X_96,antidomain(domain(X_15))),zero) = multiplication(X_96,antidomain(domain(X_15))),
inference(subst,[],[refute_0_7:[bind(A,$fot(multiplication(X_96,antidomain(domain(X_15)))))]]) ).
cnf(refute_0_418,plain,
( addition(multiplication(X_96,antidomain(domain(X_15))),zero) != multiplication(X_96,antidomain(domain(X_15)))
| multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) != addition(multiplication(X_96,antidomain(domain(X_15))),zero)
| multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) = multiplication(X_96,antidomain(domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))),addition(multiplication(X_96,antidomain(domain(X_15))),zero)) ),[1],$fot(multiplication(X_96,antidomain(domain(X_15))))]]) ).
cnf(refute_0_419,plain,
( multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) != addition(multiplication(X_96,antidomain(domain(X_15))),zero)
| multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) = multiplication(X_96,antidomain(domain(X_15))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_96,antidomain(domain(X_15))),zero),multiplication(X_96,antidomain(domain(X_15)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))) = multiplication(X_96,antidomain(domain(X_15))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_96,domain(X_15)),antidomain(domain(X_15))),addition(multiplication(X_96,antidomain(domain(X_15))),zero)) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
multiplication(addition(antidomain(X_388),domain(X_388)),antidomain(domain(X_388))) = multiplication(antidomain(X_388),antidomain(domain(X_388))),
inference(subst,[],[refute_0_420:[bind(X_15,$fot(X_388)),bind(X_96,$fot(antidomain(X_388)))]]) ).
cnf(refute_0_422,plain,
addition(antidomain(X_388),domain(X_388)) = one,
inference(subst,[],[refute_0_45:[bind(X1,$fot(X_388))]]) ).
cnf(refute_0_423,plain,
( addition(antidomain(X_388),domain(X_388)) != one
| multiplication(addition(antidomain(X_388),domain(X_388)),antidomain(domain(X_388))) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| multiplication(one,antidomain(domain(X_388))) = multiplication(antidomain(X_388),antidomain(domain(X_388))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_388),domain(X_388)),antidomain(domain(X_388))),multiplication(antidomain(X_388),antidomain(domain(X_388)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_424,plain,
( multiplication(addition(antidomain(X_388),domain(X_388)),antidomain(domain(X_388))) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| multiplication(one,antidomain(domain(X_388))) = multiplication(antidomain(X_388),antidomain(domain(X_388))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_388),domain(X_388)),one) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
multiplication(one,antidomain(domain(X_388))) = multiplication(antidomain(X_388),antidomain(domain(X_388))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_388),domain(X_388)),antidomain(domain(X_388))),multiplication(antidomain(X_388),antidomain(domain(X_388)))) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
multiplication(one,antidomain(domain(X_388))) = antidomain(domain(X_388)),
inference(subst,[],[refute_0_75:[bind(A,$fot(antidomain(domain(X_388))))]]) ).
cnf(refute_0_427,plain,
( multiplication(one,antidomain(domain(X_388))) != antidomain(domain(X_388))
| multiplication(one,antidomain(domain(X_388))) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| antidomain(domain(X_388)) = multiplication(antidomain(X_388),antidomain(domain(X_388))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(domain(X_388))),multiplication(antidomain(X_388),antidomain(domain(X_388)))) ),[0],$fot(antidomain(domain(X_388)))]]) ).
cnf(refute_0_428,plain,
( multiplication(one,antidomain(domain(X_388))) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| antidomain(domain(X_388)) = multiplication(antidomain(X_388),antidomain(domain(X_388))) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(domain(X_388))),antidomain(domain(X_388))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
antidomain(domain(X_388)) = multiplication(antidomain(X_388),antidomain(domain(X_388))),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(domain(X_388))),multiplication(antidomain(X_388),antidomain(domain(X_388)))) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
( antidomain(domain(X_388)) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| multiplication(antidomain(X_388),antidomain(domain(X_388))) = antidomain(domain(X_388)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(antidomain(domain(X_388)))),bind(Y,$fot(multiplication(antidomain(X_388),antidomain(domain(X_388)))))]]) ).
cnf(refute_0_431,plain,
multiplication(antidomain(X_388),antidomain(domain(X_388))) = antidomain(domain(X_388)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_388)),multiplication(antidomain(X_388),antidomain(domain(X_388)))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
( multiplication(antidomain(X_388),antidomain(domain(X_388))) != antidomain(domain(X_388))
| multiplication(domain(antidomain(X_388)),multiplication(antidomain(X_388),antidomain(domain(X_388)))) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))) = multiplication(antidomain(X_388),antidomain(domain(X_388))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_388)),multiplication(antidomain(X_388),antidomain(domain(X_388)))),multiplication(antidomain(X_388),antidomain(domain(X_388)))) ),[0,1],$fot(antidomain(domain(X_388)))]]) ).
cnf(refute_0_433,plain,
( multiplication(domain(antidomain(X_388)),multiplication(antidomain(X_388),antidomain(domain(X_388)))) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))) = multiplication(antidomain(X_388),antidomain(domain(X_388))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_388),antidomain(domain(X_388))),antidomain(domain(X_388))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))) = multiplication(antidomain(X_388),antidomain(domain(X_388))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_388)),multiplication(antidomain(X_388),antidomain(domain(X_388)))),multiplication(antidomain(X_388),antidomain(domain(X_388)))) )],[refute_0_408,refute_0_433]) ).
cnf(refute_0_435,plain,
( multiplication(antidomain(X_388),antidomain(domain(X_388))) != antidomain(domain(X_388))
| multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))) = antidomain(domain(X_388)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))),multiplication(antidomain(X_388),antidomain(domain(X_388)))) ),[1],$fot(antidomain(domain(X_388)))]]) ).
cnf(refute_0_436,plain,
( multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))) != multiplication(antidomain(X_388),antidomain(domain(X_388)))
| multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))) = antidomain(domain(X_388)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_388),antidomain(domain(X_388))),antidomain(domain(X_388))) )],[refute_0_431,refute_0_435]) ).
cnf(refute_0_437,plain,
multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))) = antidomain(domain(X_388)),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_388)),antidomain(domain(X_388))),multiplication(antidomain(X_388),antidomain(domain(X_388)))) )],[refute_0_434,refute_0_436]) ).
cnf(refute_0_438,plain,
multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))) = antidomain(domain(X_367)),
inference(subst,[],[refute_0_437:[bind(X_388,$fot(X_367))]]) ).
cnf(refute_0_439,plain,
domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) = domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))))]]) ).
cnf(refute_0_440,plain,
( domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) != domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))
| multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))) != antidomain(domain(X_367))
| domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) = domain(antidomain(domain(X_367))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))),domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))) ),[1,0],$fot(antidomain(domain(X_367)))]]) ).
cnf(refute_0_441,plain,
( multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))) != antidomain(domain(X_367))
| domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) = domain(antidomain(domain(X_367))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))),domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) = domain(antidomain(domain(X_367))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))),antidomain(domain(X_367))) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( domain(antidomain(X_367)) != domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))
| domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))) != domain(antidomain(domain(X_367)))
| domain(antidomain(X_367)) = domain(antidomain(domain(X_367))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))) ),[0],$fot(domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))))]]) ).
cnf(refute_0_444,plain,
( domain(antidomain(X_367)) != domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))
| domain(antidomain(X_367)) = domain(antidomain(domain(X_367))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367)))),domain(antidomain(domain(X_367)))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
domain(antidomain(X_367)) = domain(antidomain(domain(X_367))),
inference(resolve,[$cnf( $equal(domain(antidomain(X_367)),domain(multiplication(domain(antidomain(X_367)),antidomain(domain(X_367))))) )],[refute_0_399,refute_0_444]) ).
cnf(refute_0_446,plain,
( domain(antidomain(X_367)) != domain(antidomain(domain(X_367)))
| domain(antidomain(domain(X_367))) = domain(antidomain(X_367)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(antidomain(X_367)))),bind(Y,$fot(domain(antidomain(domain(X_367)))))]]) ).
cnf(refute_0_447,plain,
domain(antidomain(domain(X_367))) = domain(antidomain(X_367)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_367)),domain(antidomain(domain(X_367)))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
domain(antidomain(domain(X_15))) = domain(antidomain(X_15)),
inference(subst,[],[refute_0_447:[bind(X_367,$fot(X_15))]]) ).
cnf(refute_0_449,plain,
( domain(antidomain(domain(X_15))) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| domain(antidomain(domain(X_15))) != domain(antidomain(X_15))
| domain(antidomain(X_15)) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(domain(X_15))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) ),[0],$fot(domain(antidomain(X_15)))]]) ).
cnf(refute_0_450,plain,
( domain(antidomain(domain(X_15))) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| domain(antidomain(X_15)) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_15))),domain(antidomain(X_15))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
multiplication(domain(antidomain(domain(X_15))),domain(X_15)) = multiplication(domain(antidomain(domain(X_15))),domain(X_15)),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(domain(X_15))),domain(X_15)))]]) ).
cnf(refute_0_452,plain,
( domain(antidomain(domain(X_15))) != domain(antidomain(X_15))
| multiplication(domain(antidomain(domain(X_15))),domain(X_15)) != multiplication(domain(antidomain(domain(X_15))),domain(X_15))
| multiplication(domain(antidomain(domain(X_15))),domain(X_15)) = multiplication(domain(antidomain(X_15)),domain(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_15))),domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) ),[1,0],$fot(domain(antidomain(X_15)))]]) ).
cnf(refute_0_453,plain,
( domain(antidomain(domain(X_15))) != domain(antidomain(X_15))
| multiplication(domain(antidomain(domain(X_15))),domain(X_15)) = multiplication(domain(antidomain(X_15)),domain(X_15)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_15))),domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
multiplication(domain(antidomain(domain(X_15))),domain(X_15)) = multiplication(domain(antidomain(X_15)),domain(X_15)),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_15))),domain(antidomain(X_15))) )],[refute_0_448,refute_0_453]) ).
cnf(refute_0_455,plain,
addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))))]]) ).
cnf(refute_0_456,plain,
( addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| multiplication(domain(antidomain(domain(X_15))),domain(X_15)) != multiplication(domain(antidomain(X_15)),domain(X_15))
| addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) ),[1,1],$fot(multiplication(domain(antidomain(X_15)),domain(X_15)))]]) ).
cnf(refute_0_457,plain,
( multiplication(domain(antidomain(domain(X_15))),domain(X_15)) != multiplication(domain(antidomain(X_15)),domain(X_15))
| addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_15))),domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) )],[refute_0_454,refute_0_457]) ).
cnf(refute_0_459,plain,
( addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))
| domain(antidomain(X_15)) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| domain(antidomain(X_15)) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_15)),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) ),[1],$fot(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))))]]) ).
cnf(refute_0_460,plain,
( domain(antidomain(X_15)) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| domain(antidomain(X_15)) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
( domain(antidomain(domain(X_15))) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))
| domain(antidomain(X_15)) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_15)),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) )],[refute_0_450,refute_0_460]) ).
cnf(refute_0_462,plain,
domain(antidomain(X_15)) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_15))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(domain(X_15))),domain(X_15)))) )],[refute_0_311,refute_0_461]) ).
cnf(refute_0_463,plain,
addition(antidomain(domain(X_15)),zero) = antidomain(domain(X_15)),
inference(subst,[],[refute_0_7:[bind(A,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_464,plain,
addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))) = multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_465,plain,
domain(multiplication(X_13,X_14)) = domain(multiplication(X_13,domain(X_14))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_13)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_466,plain,
( domain(multiplication(X_13,X_14)) != domain(multiplication(X_13,domain(X_14)))
| domain(multiplication(X_13,domain(X_14))) = domain(multiplication(X_13,X_14)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(multiplication(X_13,X_14)))),bind(Y,$fot(domain(multiplication(X_13,domain(X_14)))))]]) ).
cnf(refute_0_467,plain,
domain(multiplication(X_13,domain(X_14))) = domain(multiplication(X_13,X_14)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_13,X_14)),domain(multiplication(X_13,domain(X_14)))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
( addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))) != multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))
| domain(multiplication(X_13,domain(X_14))) != domain(multiplication(X_13,X_14))
| addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))) ),[0,1,0],$fot(domain(multiplication(X_13,X_14)))]]) ).
cnf(refute_0_469,plain,
( addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))) != multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))
| addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_13,domain(X_14))),domain(multiplication(X_13,X_14))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))) )],[refute_0_464,refute_0_469]) ).
cnf(refute_0_471,plain,
multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) = multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))),
introduced(tautology,[refl,[$fot(multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_472,plain,
( domain(multiplication(X_13,domain(X_14))) != domain(multiplication(X_13,X_14))
| multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) != multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))
| multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))) ),[1,0],$fot(domain(multiplication(X_13,X_14)))]]) ).
cnf(refute_0_473,plain,
( domain(multiplication(X_13,domain(X_14))) != domain(multiplication(X_13,X_14))
| multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))),
inference(resolve,[$cnf( $equal(domain(multiplication(X_13,domain(X_14))),domain(multiplication(X_13,X_14))) )],[refute_0_467,refute_0_473]) ).
cnf(refute_0_475,plain,
( addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) != multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))
| multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) != multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))
| addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) ),[0],$fot(multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_476,plain,
( addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) != multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))
| addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))),multiplication(domain(multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14)))) )],[refute_0_470,refute_0_476]) ).
cnf(refute_0_478,plain,
multiplication(one,multiplication(X_13,domain(X_14))) = multiplication(X_13,domain(X_14)),
inference(subst,[],[refute_0_75:[bind(A,$fot(multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_479,plain,
addition(one,domain(multiplication(X_13,X_14))) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(multiplication(X_13,X_14)))]]) ).
cnf(refute_0_480,plain,
multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) = multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_481,plain,
( addition(one,domain(multiplication(X_13,X_14))) != one
| multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) != multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14)))
| multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) = multiplication(one,multiplication(X_13,domain(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))),multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_482,plain,
( addition(one,domain(multiplication(X_13,X_14))) != one
| multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) = multiplication(one,multiplication(X_13,domain(X_14))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))),multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14)))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) = multiplication(one,multiplication(X_13,domain(X_14))),
inference(resolve,[$cnf( $equal(addition(one,domain(multiplication(X_13,X_14))),one) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
( multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) != multiplication(one,multiplication(X_13,domain(X_14)))
| multiplication(one,multiplication(X_13,domain(X_14))) != multiplication(X_13,domain(X_14))
| multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) = multiplication(X_13,domain(X_14)) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))))),bind(Y,$fot(multiplication(one,multiplication(X_13,domain(X_14))))),bind(Z,$fot(multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_485,plain,
( multiplication(one,multiplication(X_13,domain(X_14))) != multiplication(X_13,domain(X_14))
| multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) = multiplication(X_13,domain(X_14)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))),multiplication(one,multiplication(X_13,domain(X_14)))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) = multiplication(X_13,domain(X_14)),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) )],[refute_0_478,refute_0_485]) ).
cnf(refute_0_487,plain,
( multiplication(addition(one,X_97),X_98) != addition(X_98,multiplication(X_97,X_98))
| addition(X_98,multiplication(X_97,X_98)) = multiplication(addition(one,X_97),X_98) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(multiplication(addition(one,X_97),X_98))),bind(Y,$fot(addition(X_98,multiplication(X_97,X_98))))]]) ).
cnf(refute_0_488,plain,
addition(X_98,multiplication(X_97,X_98)) = multiplication(addition(one,X_97),X_98),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_97),X_98),addition(X_98,multiplication(X_97,X_98))) )],[refute_0_165,refute_0_487]) ).
cnf(refute_0_489,plain,
addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))),
inference(subst,[],[refute_0_488:[bind(X_97,$fot(domain(multiplication(X_13,X_14)))),bind(X_98,$fot(multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_490,plain,
( addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) != multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14)))
| multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) != multiplication(X_13,domain(X_14))
| addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(X_13,domain(X_14)) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))))),bind(Y,$fot(multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))))),bind(Z,$fot(multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_491,plain,
( multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))) != multiplication(X_13,domain(X_14))
| addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(X_13,domain(X_14)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))),multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14)))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) = multiplication(X_13,domain(X_14)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(multiplication(X_13,X_14))),multiplication(X_13,domain(X_14))),multiplication(X_13,domain(X_14))) )],[refute_0_486,refute_0_491]) ).
cnf(refute_0_493,plain,
( addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) != multiplication(X_13,domain(X_14))
| addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) != multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))
| multiplication(X_13,domain(X_14)) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) ),[0],$fot(multiplication(X_13,domain(X_14)))]]) ).
cnf(refute_0_494,plain,
( addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) != multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))
| multiplication(X_13,domain(X_14)) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))),multiplication(X_13,domain(X_14))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
multiplication(X_13,domain(X_14)) = multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_13,domain(X_14)),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))),multiplication(domain(multiplication(X_13,X_14)),multiplication(X_13,domain(X_14)))) )],[refute_0_477,refute_0_494]) ).
cnf(refute_0_496,plain,
multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),
inference(subst,[],[refute_0_495:[bind(X_13,$fot(domain(X_522))),bind(X_14,$fot(multiplication(domain(X0),antidomain(domain(X_522)))))]]) ).
cnf(refute_0_497,plain,
multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) = addition(multiplication(domain(X_15),antidomain(domain(X_15))),multiplication(domain(X_15),X_174)),
inference(subst,[],[refute_0_111:[bind(A,$fot(domain(X_15))),bind(B,$fot(antidomain(domain(X_15)))),bind(C,$fot(X_174))]]) ).
cnf(refute_0_498,plain,
( multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) != addition(multiplication(domain(X_15),antidomain(domain(X_15))),multiplication(domain(X_15),X_174))
| multiplication(domain(X_15),antidomain(domain(X_15))) != zero
| multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) = addition(zero,multiplication(domain(X_15),X_174)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)),addition(multiplication(domain(X_15),antidomain(domain(X_15))),multiplication(domain(X_15),X_174))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_499,plain,
( multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) != addition(multiplication(domain(X_15),antidomain(domain(X_15))),multiplication(domain(X_15),X_174))
| multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) = addition(zero,multiplication(domain(X_15),X_174)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_15),antidomain(domain(X_15))),zero) )],[refute_0_413,refute_0_498]) ).
cnf(refute_0_500,plain,
multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) = addition(zero,multiplication(domain(X_15),X_174)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)),addition(multiplication(domain(X_15),antidomain(domain(X_15))),multiplication(domain(X_15),X_174))) )],[refute_0_497,refute_0_499]) ).
cnf(refute_0_501,plain,
addition(zero,multiplication(domain(X_15),X_174)) = multiplication(domain(X_15),X_174),
inference(subst,[],[refute_0_119:[bind(A,$fot(multiplication(domain(X_15),X_174)))]]) ).
cnf(refute_0_502,plain,
( addition(zero,multiplication(domain(X_15),X_174)) != multiplication(domain(X_15),X_174)
| multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) != addition(zero,multiplication(domain(X_15),X_174))
| multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) = multiplication(domain(X_15),X_174) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)),addition(zero,multiplication(domain(X_15),X_174))) ),[1],$fot(multiplication(domain(X_15),X_174))]]) ).
cnf(refute_0_503,plain,
( multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) != addition(zero,multiplication(domain(X_15),X_174))
| multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) = multiplication(domain(X_15),X_174) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(domain(X_15),X_174)),multiplication(domain(X_15),X_174)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)) = multiplication(domain(X_15),X_174),
inference(resolve,[$cnf( $equal(multiplication(domain(X_15),addition(antidomain(domain(X_15)),X_174)),addition(zero,multiplication(domain(X_15),X_174))) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
multiplication(domain(X_522),addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))),
inference(subst,[],[refute_0_504:[bind(X_15,$fot(X_522)),bind(X_174,$fot(multiplication(domain(X0),antidomain(domain(X_522)))))]]) ).
cnf(refute_0_506,plain,
antidomain(domain(X_522)) = addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522)))),
inference(subst,[],[refute_0_173:[bind(X_464,$fot(antidomain(domain(X_522))))]]) ).
cnf(refute_0_507,plain,
( antidomain(domain(X_522)) != addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522))))
| addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522)))) = antidomain(domain(X_522)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(antidomain(domain(X_522)))),bind(Y,$fot(addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522))))))]]) ).
cnf(refute_0_508,plain,
addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522)))) = antidomain(domain(X_522)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_522)),addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522))))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
( addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522)))) != antidomain(domain(X_522))
| multiplication(domain(X_522),addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))
| multiplication(domain(X_522),antidomain(domain(X_522))) = multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_522),addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))) ),[0,1],$fot(antidomain(domain(X_522)))]]) ).
cnf(refute_0_510,plain,
( multiplication(domain(X_522),addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))
| multiplication(domain(X_522),antidomain(domain(X_522))) = multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522)))),antidomain(domain(X_522))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
multiplication(domain(X_522),antidomain(domain(X_522))) = multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),addition(antidomain(domain(X_522)),multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))) )],[refute_0_505,refute_0_510]) ).
cnf(refute_0_512,plain,
multiplication(domain(X_522),antidomain(domain(X_522))) = zero,
inference(subst,[],[refute_0_413:[bind(X_15,$fot(X_522))]]) ).
cnf(refute_0_513,plain,
( multiplication(domain(X_522),antidomain(domain(X_522))) != multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))
| multiplication(domain(X_522),antidomain(domain(X_522))) != zero
| zero = multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_522),antidomain(domain(X_522))),multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_514,plain,
( multiplication(domain(X_522),antidomain(domain(X_522))) != multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))
| zero = multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),antidomain(domain(X_522))),zero) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
zero = multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),antidomain(domain(X_522))),multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))) )],[refute_0_511,refute_0_514]) ).
cnf(refute_0_516,plain,
( zero != multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))
| multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))))]]) ).
cnf(refute_0_517,plain,
multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))) != zero
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_519,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522)))),zero) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(multiplication(domain(X_522),multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) )],[refute_0_496,refute_0_519]) ).
cnf(refute_0_521,plain,
domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))))),
inference(subst,[],[refute_0_73:[bind(X1,$fot(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))))]]) ).
cnf(refute_0_522,plain,
domain(antidomain(X_535)) = domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))),
inference(subst,[],[refute_0_399:[bind(X_367,$fot(X_535))]]) ).
cnf(refute_0_523,plain,
( domain(antidomain(X_535)) != domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))
| domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) = domain(antidomain(X_535)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(antidomain(X_535)))),bind(Y,$fot(domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))))]]) ).
cnf(refute_0_524,plain,
domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) = domain(antidomain(X_535)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_535)),domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
( domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) != domain(multiplication(X0,domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))))
| domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) != domain(antidomain(X_535))
| domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,domain(antidomain(X_535)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))))) ),[1,0,1],$fot(domain(antidomain(X_535)))]]) ).
cnf(refute_0_526,plain,
( domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) != domain(multiplication(X0,domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))))
| domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,domain(antidomain(X_535)))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))),domain(antidomain(X_535))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,domain(antidomain(X_535)))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,domain(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))))) )],[refute_0_521,refute_0_526]) ).
cnf(refute_0_528,plain,
domain(multiplication(X0,domain(antidomain(X_535)))) = domain(multiplication(X0,antidomain(X_535))),
inference(subst,[],[refute_0_390:[bind(X1,$fot(antidomain(X_535)))]]) ).
cnf(refute_0_529,plain,
( domain(multiplication(X0,domain(antidomain(X_535)))) != domain(multiplication(X0,antidomain(X_535)))
| domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) != domain(multiplication(X0,domain(antidomain(X_535))))
| domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,antidomain(X_535))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,domain(antidomain(X_535))))) ),[1],$fot(domain(multiplication(X0,antidomain(X_535))))]]) ).
cnf(refute_0_530,plain,
( domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) != domain(multiplication(X0,domain(antidomain(X_535))))
| domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,antidomain(X_535))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(antidomain(X_535)))),domain(multiplication(X0,antidomain(X_535)))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,antidomain(X_535))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,domain(antidomain(X_535))))) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))) = antidomain(domain(X_535)),
inference(subst,[],[refute_0_437:[bind(X_388,$fot(X_535))]]) ).
cnf(refute_0_533,plain,
multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) = multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))),
introduced(tautology,[refl,[$fot(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))))]]) ).
cnf(refute_0_534,plain,
( multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) != multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))
| multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))) != antidomain(domain(X_535))
| multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) = multiplication(X0,antidomain(domain(X_535))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))),multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) ),[1,1],$fot(antidomain(domain(X_535)))]]) ).
cnf(refute_0_535,plain,
( multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))) != antidomain(domain(X_535))
| multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) = multiplication(X0,antidomain(domain(X_535))) ),
inference(resolve,[$cnf( $equal(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))),multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) = multiplication(X0,antidomain(domain(X_535))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))),antidomain(domain(X_535))) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),
introduced(tautology,[refl,[$fot(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))))]]) ).
cnf(refute_0_538,plain,
( domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) != domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))))
| multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) != multiplication(X0,antidomain(domain(X_535)))
| domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,antidomain(domain(X_535)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))))) ),[1,0],$fot(multiplication(X0,antidomain(domain(X_535))))]]) ).
cnf(refute_0_539,plain,
( multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))) != multiplication(X0,antidomain(domain(X_535)))
| domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,antidomain(domain(X_535)))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) = domain(multiplication(X0,antidomain(domain(X_535)))),
inference(resolve,[$cnf( $equal(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535)))),multiplication(X0,antidomain(domain(X_535)))) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
( domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) != domain(multiplication(X0,antidomain(X_535)))
| domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) != domain(multiplication(X0,antidomain(domain(X_535))))
| domain(multiplication(X0,antidomain(domain(X_535)))) = domain(multiplication(X0,antidomain(X_535))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,antidomain(X_535)))) ),[0],$fot(domain(multiplication(X0,antidomain(domain(X_535)))))]]) ).
cnf(refute_0_542,plain,
( domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))) != domain(multiplication(X0,antidomain(X_535)))
| domain(multiplication(X0,antidomain(domain(X_535)))) = domain(multiplication(X0,antidomain(X_535))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,antidomain(domain(X_535))))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
domain(multiplication(X0,antidomain(domain(X_535)))) = domain(multiplication(X0,antidomain(X_535))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,multiplication(domain(antidomain(X_535)),antidomain(domain(X_535))))),domain(multiplication(X0,antidomain(X_535)))) )],[refute_0_531,refute_0_542]) ).
cnf(refute_0_544,plain,
domain(multiplication(domain(X0),antidomain(domain(X_522)))) = domain(multiplication(domain(X0),antidomain(X_522))),
inference(subst,[],[refute_0_543:[bind(X0,$fot(domain(X0))),bind(X_535,$fot(X_522))]]) ).
cnf(refute_0_545,plain,
multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),
introduced(tautology,[refl,[$fot(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))]]) ).
cnf(refute_0_546,plain,
( domain(multiplication(domain(X0),antidomain(domain(X_522)))) != domain(multiplication(domain(X0),antidomain(X_522)))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) ),[1,1],$fot(domain(multiplication(domain(X0),antidomain(X_522))))]]) ).
cnf(refute_0_547,plain,
( domain(multiplication(domain(X0),antidomain(domain(X_522)))) != domain(multiplication(domain(X0),antidomain(X_522)))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) = multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X0),antidomain(domain(X_522)))),domain(multiplication(domain(X0),antidomain(X_522)))) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) = multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) ),[0],$fot(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))))]]) ).
cnf(refute_0_550,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) = multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_552,plain,
multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) = zero,
inference(subst,[],[refute_0_551:[bind(A,$fot(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))))]]) ).
cnf(refute_0_553,plain,
multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),
introduced(tautology,[refl,[$fot(multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))))]]) ).
cnf(refute_0_554,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))
| multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) != multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) ),[1,1],$fot(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))))]]) ).
cnf(refute_0_555,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))
| multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) ),
inference(resolve,[$cnf( $equal(multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) )],[refute_0_548,refute_0_555]) ).
cnf(refute_0_557,plain,
domain(zero) = zero,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_558,plain,
multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),
introduced(tautology,[refl,[$fot(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))))]]) ).
cnf(refute_0_559,plain,
( domain(zero) != zero
| multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) != multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_560,plain,
( domain(zero) != zero
| multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_557,refute_0_560]) ).
cnf(refute_0_562,plain,
( multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) != multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) != multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))))
| multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))))),bind(Y,$fot(multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))))),bind(Z,$fot(multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))))))]]) ).
cnf(refute_0_563,plain,
( multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) != multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))))
| multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))),
inference(resolve,[$cnf( $equal(multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))))) )],[refute_0_556,refute_0_563]) ).
cnf(refute_0_565,plain,
( multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) != multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))))
| multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) != zero
| multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = zero ),
inference(subst,[],[refute_0_224:[bind(X,$fot(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))))),bind(Y,$fot(multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_566,plain,
( multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))) != zero
| multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(zero,multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522))))),zero) )],[refute_0_552,refute_0_566]) ).
cnf(refute_0_568,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) != multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))) != zero
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))),zero) ),[0],$fot(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))))]]) ).
cnf(refute_0_569,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) != multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522)))))),zero) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))) != multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))
| multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))),multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) )],[refute_0_550,refute_0_569]) ).
cnf(refute_0_571,plain,
multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(X_522)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))),multiplication(domain(zero),multiplication(domain(X_522),domain(multiplication(domain(X0),antidomain(domain(X_522))))))) )],[refute_0_520,refute_0_570]) ).
cnf(refute_0_572,plain,
multiplication(domain(antidomain(domain(X_1188))),domain(multiplication(domain(X_1188),antidomain(antidomain(domain(X_1188)))))) = zero,
inference(subst,[],[refute_0_571:[bind(X0,$fot(X_1188)),bind(X_522,$fot(antidomain(domain(X_1188))))]]) ).
cnf(refute_0_573,plain,
domain(multiplication(domain(X_15),addition(antidomain(domain(X_15)),antidomain(antidomain(domain(X_15)))))) = domain(domain(X_15)),
inference(subst,[],[refute_0_199:[bind(X0,$fot(domain(X_15))),bind(X_85,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_574,plain,
multiplication(domain(X_15),addition(antidomain(domain(X_15)),antidomain(antidomain(domain(X_15))))) = multiplication(domain(X_15),antidomain(antidomain(domain(X_15)))),
inference(subst,[],[refute_0_504:[bind(X_174,$fot(antidomain(antidomain(domain(X_15)))))]]) ).
cnf(refute_0_575,plain,
( domain(multiplication(domain(X_15),addition(antidomain(domain(X_15)),antidomain(antidomain(domain(X_15)))))) != domain(domain(X_15))
| multiplication(domain(X_15),addition(antidomain(domain(X_15)),antidomain(antidomain(domain(X_15))))) != multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))
| domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) = domain(domain(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_15),addition(antidomain(domain(X_15)),antidomain(antidomain(domain(X_15)))))),domain(domain(X_15))) ),[0,0],$fot(multiplication(domain(X_15),antidomain(antidomain(domain(X_15)))))]]) ).
cnf(refute_0_576,plain,
( domain(multiplication(domain(X_15),addition(antidomain(domain(X_15)),antidomain(antidomain(domain(X_15)))))) != domain(domain(X_15))
| domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) = domain(domain(X_15)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_15),addition(antidomain(domain(X_15)),antidomain(antidomain(domain(X_15))))),multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) = domain(domain(X_15)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_15),addition(antidomain(domain(X_15)),antidomain(antidomain(domain(X_15)))))),domain(domain(X_15))) )],[refute_0_573,refute_0_576]) ).
cnf(refute_0_578,plain,
( domain(domain(X_15)) != domain(X_15)
| domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) != domain(domain(X_15))
| domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) = domain(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))),domain(domain(X_15))) ),[1],$fot(domain(X_15))]]) ).
cnf(refute_0_579,plain,
( domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) != domain(domain(X_15))
| domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) = domain(X_15) ),
inference(resolve,[$cnf( $equal(domain(domain(X_15)),domain(X_15)) )],[refute_0_297,refute_0_578]) ).
cnf(refute_0_580,plain,
domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))) = domain(X_15),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_15),antidomain(antidomain(domain(X_15))))),domain(domain(X_15))) )],[refute_0_577,refute_0_579]) ).
cnf(refute_0_581,plain,
domain(multiplication(domain(X_1188),antidomain(antidomain(domain(X_1188))))) = domain(X_1188),
inference(subst,[],[refute_0_580:[bind(X_15,$fot(X_1188))]]) ).
cnf(refute_0_582,plain,
( domain(multiplication(domain(X_1188),antidomain(antidomain(domain(X_1188))))) != domain(X_1188)
| multiplication(domain(antidomain(domain(X_1188))),domain(multiplication(domain(X_1188),antidomain(antidomain(domain(X_1188)))))) != zero
| multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_1188))),domain(multiplication(domain(X_1188),antidomain(antidomain(domain(X_1188)))))),zero) ),[0,1],$fot(domain(X_1188))]]) ).
cnf(refute_0_583,plain,
( multiplication(domain(antidomain(domain(X_1188))),domain(multiplication(domain(X_1188),antidomain(antidomain(domain(X_1188)))))) != zero
| multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_1188),antidomain(antidomain(domain(X_1188))))),domain(X_1188)) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_1188))),domain(multiplication(domain(X_1188),antidomain(antidomain(domain(X_1188)))))),zero) )],[refute_0_572,refute_0_583]) ).
cnf(refute_0_585,plain,
domain(antidomain(domain(X_1188))) = domain(antidomain(X_1188)),
inference(subst,[],[refute_0_447:[bind(X_367,$fot(X_1188))]]) ).
cnf(refute_0_586,plain,
multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) = multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)))]]) ).
cnf(refute_0_587,plain,
( domain(antidomain(domain(X_1188))) != domain(antidomain(X_1188))
| multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) != multiplication(domain(antidomain(domain(X_1188))),domain(X_1188))
| multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) = multiplication(domain(antidomain(X_1188)),domain(X_1188)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)),multiplication(domain(antidomain(domain(X_1188))),domain(X_1188))) ),[1,0],$fot(domain(antidomain(X_1188)))]]) ).
cnf(refute_0_588,plain,
( domain(antidomain(domain(X_1188))) != domain(antidomain(X_1188))
| multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) = multiplication(domain(antidomain(X_1188)),domain(X_1188)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)),multiplication(domain(antidomain(domain(X_1188))),domain(X_1188))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) = multiplication(domain(antidomain(X_1188)),domain(X_1188)),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_1188))),domain(antidomain(X_1188))) )],[refute_0_585,refute_0_588]) ).
cnf(refute_0_590,plain,
( multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) != multiplication(domain(antidomain(X_1188)),domain(X_1188))
| multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) != zero
| multiplication(domain(antidomain(X_1188)),domain(X_1188)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)),zero) ),[0],$fot(multiplication(domain(antidomain(X_1188)),domain(X_1188)))]]) ).
cnf(refute_0_591,plain,
( multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)) != zero
| multiplication(domain(antidomain(X_1188)),domain(X_1188)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)),multiplication(domain(antidomain(X_1188)),domain(X_1188))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
multiplication(domain(antidomain(X_1188)),domain(X_1188)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_1188))),domain(X_1188)),zero) )],[refute_0_584,refute_0_591]) ).
cnf(refute_0_593,plain,
multiplication(domain(antidomain(X_15)),domain(X_15)) = zero,
inference(subst,[],[refute_0_592:[bind(X_1188,$fot(X_15))]]) ).
cnf(refute_0_594,plain,
addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) = addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))))]]) ).
cnf(refute_0_595,plain,
( addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))
| multiplication(domain(antidomain(X_15)),domain(X_15)) != zero
| addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) = addition(antidomain(domain(X_15)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_596,plain,
( multiplication(domain(antidomain(X_15)),domain(X_15)) != zero
| addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) = addition(antidomain(domain(X_15)),zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) = addition(antidomain(domain(X_15)),zero),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_15)),domain(X_15)),zero) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
( addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) != addition(antidomain(domain(X_15)),zero)
| addition(antidomain(domain(X_15)),zero) != antidomain(domain(X_15))
| addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) = antidomain(domain(X_15)) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))))),bind(Y,$fot(addition(antidomain(domain(X_15)),zero))),bind(Z,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_599,plain,
( addition(antidomain(domain(X_15)),zero) != antidomain(domain(X_15))
| addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) = antidomain(domain(X_15)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))),addition(antidomain(domain(X_15)),zero)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) = antidomain(domain(X_15)),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),zero),antidomain(domain(X_15))) )],[refute_0_463,refute_0_599]) ).
cnf(refute_0_601,plain,
( addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))) != antidomain(domain(X_15))
| domain(antidomain(X_15)) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))
| domain(antidomain(X_15)) = antidomain(domain(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_15)),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))) ),[1],$fot(antidomain(domain(X_15)))]]) ).
cnf(refute_0_602,plain,
( domain(antidomain(X_15)) != addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))
| domain(antidomain(X_15)) = antidomain(domain(X_15)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15))),antidomain(domain(X_15))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
domain(antidomain(X_15)) = antidomain(domain(X_15)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_15)),addition(antidomain(domain(X_15)),multiplication(domain(antidomain(X_15)),domain(X_15)))) )],[refute_0_462,refute_0_602]) ).
cnf(refute_0_604,plain,
domain(antidomain(X_1073)) = antidomain(domain(X_1073)),
inference(subst,[],[refute_0_603:[bind(X_15,$fot(X_1073))]]) ).
cnf(refute_0_605,plain,
antidomain(domain(antidomain(X_1073))) = antidomain(domain(antidomain(X_1073))),
introduced(tautology,[refl,[$fot(antidomain(domain(antidomain(X_1073))))]]) ).
cnf(refute_0_606,plain,
( antidomain(domain(antidomain(X_1073))) != antidomain(domain(antidomain(X_1073)))
| domain(antidomain(X_1073)) != antidomain(domain(X_1073))
| antidomain(domain(antidomain(X_1073))) = antidomain(antidomain(domain(X_1073))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(antidomain(X_1073))),antidomain(domain(antidomain(X_1073)))) ),[1,0],$fot(antidomain(domain(X_1073)))]]) ).
cnf(refute_0_607,plain,
( domain(antidomain(X_1073)) != antidomain(domain(X_1073))
| antidomain(domain(antidomain(X_1073))) = antidomain(antidomain(domain(X_1073))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(X_1073))),antidomain(domain(antidomain(X_1073)))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
antidomain(domain(antidomain(X_1073))) = antidomain(antidomain(domain(X_1073))),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1073)),antidomain(domain(X_1073))) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
domain(antidomain(antidomain(X_1073))) = antidomain(domain(antidomain(X_1073))),
inference(subst,[],[refute_0_603:[bind(X_15,$fot(antidomain(X_1073)))]]) ).
cnf(refute_0_610,plain,
( antidomain(domain(antidomain(X_1073))) != antidomain(antidomain(domain(X_1073)))
| domain(antidomain(antidomain(X_1073))) != antidomain(domain(antidomain(X_1073)))
| domain(antidomain(antidomain(X_1073))) = antidomain(antidomain(domain(X_1073))) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(domain(antidomain(antidomain(X_1073))))),bind(Y,$fot(antidomain(domain(antidomain(X_1073))))),bind(Z,$fot(antidomain(antidomain(domain(X_1073)))))]]) ).
cnf(refute_0_611,plain,
( antidomain(domain(antidomain(X_1073))) != antidomain(antidomain(domain(X_1073)))
| domain(antidomain(antidomain(X_1073))) = antidomain(antidomain(domain(X_1073))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(X_1073))),antidomain(domain(antidomain(X_1073)))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
domain(antidomain(antidomain(X_1073))) = antidomain(antidomain(domain(X_1073))),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(X_1073))),antidomain(antidomain(domain(X_1073)))) )],[refute_0_608,refute_0_611]) ).
cnf(refute_0_613,plain,
multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) = multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))),
introduced(tautology,[refl,[$fot(multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))))]]) ).
cnf(refute_0_614,plain,
( domain(antidomain(antidomain(X_1073))) != antidomain(antidomain(domain(X_1073)))
| multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) != multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))
| multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) = multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))),multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))) ),[1,1],$fot(antidomain(antidomain(domain(X_1073))))]]) ).
cnf(refute_0_615,plain,
( domain(antidomain(antidomain(X_1073))) != antidomain(antidomain(domain(X_1073)))
| multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) = multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))),multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) = multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(X_1073))),antidomain(antidomain(domain(X_1073)))) )],[refute_0_612,refute_0_615]) ).
cnf(refute_0_617,plain,
( domain(X_1073) != multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))
| multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))) != multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))
| domain(X_1073) = multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(X_1073),multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))) ),[0],$fot(multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))))]]) ).
cnf(refute_0_618,plain,
( domain(X_1073) != multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))
| domain(X_1073) = multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073)))),multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
domain(X_1073) = multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))),
inference(resolve,[$cnf( $equal(domain(X_1073),multiplication(domain(X_1073),domain(antidomain(antidomain(X_1073))))) )],[refute_0_237,refute_0_618]) ).
cnf(refute_0_620,plain,
multiplication(addition(antidomain(X_57),domain(addition(X_56,X_57))),antidomain(addition(X_56,X_57))) = multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))),
inference(subst,[],[refute_0_11:[bind(X1,$fot(addition(X_56,X_57))),bind(X_96,$fot(antidomain(X_57)))]]) ).
cnf(refute_0_621,plain,
( addition(antidomain(X_57),domain(addition(X_56,X_57))) != one
| multiplication(addition(antidomain(X_57),domain(addition(X_56,X_57))),antidomain(addition(X_56,X_57))) != multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))
| multiplication(one,antidomain(addition(X_56,X_57))) = multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_57),domain(addition(X_56,X_57))),antidomain(addition(X_56,X_57))),multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_622,plain,
( multiplication(addition(antidomain(X_57),domain(addition(X_56,X_57))),antidomain(addition(X_56,X_57))) != multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))
| multiplication(one,antidomain(addition(X_56,X_57))) = multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_57),domain(addition(X_56,X_57))),one) )],[refute_0_147,refute_0_621]) ).
cnf(refute_0_623,plain,
multiplication(one,antidomain(addition(X_56,X_57))) = multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_57),domain(addition(X_56,X_57))),antidomain(addition(X_56,X_57))),multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))) )],[refute_0_620,refute_0_622]) ).
cnf(refute_0_624,plain,
multiplication(one,antidomain(addition(X_56,X_57))) = antidomain(addition(X_56,X_57)),
inference(subst,[],[refute_0_75:[bind(A,$fot(antidomain(addition(X_56,X_57))))]]) ).
cnf(refute_0_625,plain,
( multiplication(one,antidomain(addition(X_56,X_57))) != antidomain(addition(X_56,X_57))
| multiplication(one,antidomain(addition(X_56,X_57))) != multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))
| antidomain(addition(X_56,X_57)) = multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(addition(X_56,X_57))),multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))) ),[0],$fot(antidomain(addition(X_56,X_57)))]]) ).
cnf(refute_0_626,plain,
( multiplication(one,antidomain(addition(X_56,X_57))) != multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))
| antidomain(addition(X_56,X_57)) = multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(addition(X_56,X_57))),antidomain(addition(X_56,X_57))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
antidomain(addition(X_56,X_57)) = multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(addition(X_56,X_57))),multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))) = multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))),
inference(subst,[],[refute_0_627:[bind(X_56,$fot(X_1303)),bind(X_57,$fot(multiplication(X_1303,domain(X0))))]]) ).
cnf(refute_0_629,plain,
multiplication(X_172,addition(one,X_174)) = addition(multiplication(X_172,one),multiplication(X_172,X_174)),
inference(subst,[],[refute_0_111:[bind(A,$fot(X_172)),bind(B,$fot(one)),bind(C,$fot(X_174))]]) ).
cnf(refute_0_630,plain,
multiplication(X_172,one) = X_172,
inference(subst,[],[refute_0_51:[bind(A,$fot(X_172))]]) ).
cnf(refute_0_631,plain,
( multiplication(X_172,addition(one,X_174)) != addition(multiplication(X_172,one),multiplication(X_172,X_174))
| multiplication(X_172,one) != X_172
| multiplication(X_172,addition(one,X_174)) = addition(X_172,multiplication(X_172,X_174)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_172,addition(one,X_174)),addition(multiplication(X_172,one),multiplication(X_172,X_174))) ),[1,0],$fot(X_172)]]) ).
cnf(refute_0_632,plain,
( multiplication(X_172,addition(one,X_174)) != addition(multiplication(X_172,one),multiplication(X_172,X_174))
| multiplication(X_172,addition(one,X_174)) = addition(X_172,multiplication(X_172,X_174)) ),
inference(resolve,[$cnf( $equal(multiplication(X_172,one),X_172) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
multiplication(X_172,addition(one,X_174)) = addition(X_172,multiplication(X_172,X_174)),
inference(resolve,[$cnf( $equal(multiplication(X_172,addition(one,X_174)),addition(multiplication(X_172,one),multiplication(X_172,X_174))) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
multiplication(X_836,addition(one,multiplication(domain(X0),one))) = addition(X_836,multiplication(X_836,multiplication(domain(X0),one))),
inference(subst,[],[refute_0_633:[bind(X_172,$fot(X_836)),bind(X_174,$fot(multiplication(domain(X0),one)))]]) ).
cnf(refute_0_635,plain,
one = addition(one,multiplication(domain(X0),one)),
inference(subst,[],[refute_0_173:[bind(X_464,$fot(one))]]) ).
cnf(refute_0_636,plain,
( one != addition(one,multiplication(domain(X0),one))
| addition(one,multiplication(domain(X0),one)) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(one)),bind(Y,$fot(addition(one,multiplication(domain(X0),one))))]]) ).
cnf(refute_0_637,plain,
addition(one,multiplication(domain(X0),one)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,multiplication(domain(X0),one))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
( addition(one,multiplication(domain(X0),one)) != one
| multiplication(X_836,addition(one,multiplication(domain(X0),one))) != addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))
| multiplication(X_836,one) = addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_836,addition(one,multiplication(domain(X0),one))),addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_639,plain,
( multiplication(X_836,addition(one,multiplication(domain(X0),one))) != addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))
| multiplication(X_836,one) = addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(domain(X0),one)),one) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
multiplication(X_836,one) = addition(X_836,multiplication(X_836,multiplication(domain(X0),one))),
inference(resolve,[$cnf( $equal(multiplication(X_836,addition(one,multiplication(domain(X0),one))),addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))) )],[refute_0_634,refute_0_639]) ).
cnf(refute_0_641,plain,
multiplication(X_836,one) = X_836,
inference(subst,[],[refute_0_51:[bind(A,$fot(X_836))]]) ).
cnf(refute_0_642,plain,
( multiplication(X_836,one) != X_836
| multiplication(X_836,one) != addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))
| X_836 = addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_836,one),addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))) ),[0],$fot(X_836)]]) ).
cnf(refute_0_643,plain,
( multiplication(X_836,one) != addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))
| X_836 = addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) ),
inference(resolve,[$cnf( $equal(multiplication(X_836,one),X_836) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
multiplication(domain(X0),one) = domain(X0),
inference(subst,[],[refute_0_51:[bind(A,$fot(domain(X0)))]]) ).
cnf(refute_0_645,plain,
multiplication(X_836,multiplication(domain(X0),one)) = multiplication(X_836,multiplication(domain(X0),one)),
introduced(tautology,[refl,[$fot(multiplication(X_836,multiplication(domain(X0),one)))]]) ).
cnf(refute_0_646,plain,
( multiplication(X_836,multiplication(domain(X0),one)) != multiplication(X_836,multiplication(domain(X0),one))
| multiplication(domain(X0),one) != domain(X0)
| multiplication(X_836,multiplication(domain(X0),one)) = multiplication(X_836,domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_836,multiplication(domain(X0),one)),multiplication(X_836,multiplication(domain(X0),one))) ),[1,1],$fot(domain(X0))]]) ).
cnf(refute_0_647,plain,
( multiplication(domain(X0),one) != domain(X0)
| multiplication(X_836,multiplication(domain(X0),one)) = multiplication(X_836,domain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(X_836,multiplication(domain(X0),one)),multiplication(X_836,multiplication(domain(X0),one))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
multiplication(X_836,multiplication(domain(X0),one)) = multiplication(X_836,domain(X0)),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),one),domain(X0)) )],[refute_0_644,refute_0_647]) ).
cnf(refute_0_649,plain,
addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) = addition(X_836,multiplication(X_836,multiplication(domain(X0),one))),
introduced(tautology,[refl,[$fot(addition(X_836,multiplication(X_836,multiplication(domain(X0),one))))]]) ).
cnf(refute_0_650,plain,
( addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) != addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))
| multiplication(X_836,multiplication(domain(X0),one)) != multiplication(X_836,domain(X0))
| addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) = addition(X_836,multiplication(X_836,domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_836,multiplication(X_836,multiplication(domain(X0),one))),addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))) ),[1,1],$fot(multiplication(X_836,domain(X0)))]]) ).
cnf(refute_0_651,plain,
( multiplication(X_836,multiplication(domain(X0),one)) != multiplication(X_836,domain(X0))
| addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) = addition(X_836,multiplication(X_836,domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(X_836,multiplication(X_836,multiplication(domain(X0),one))),addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) = addition(X_836,multiplication(X_836,domain(X0))),
inference(resolve,[$cnf( $equal(multiplication(X_836,multiplication(domain(X0),one)),multiplication(X_836,domain(X0))) )],[refute_0_648,refute_0_651]) ).
cnf(refute_0_653,plain,
( X_836 != addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))
| addition(X_836,multiplication(X_836,multiplication(domain(X0),one))) != addition(X_836,multiplication(X_836,domain(X0)))
| X_836 = addition(X_836,multiplication(X_836,domain(X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_836,addition(X_836,multiplication(X_836,domain(X0)))) ),[0],$fot(addition(X_836,multiplication(X_836,multiplication(domain(X0),one))))]]) ).
cnf(refute_0_654,plain,
( X_836 != addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))
| X_836 = addition(X_836,multiplication(X_836,domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(X_836,multiplication(X_836,multiplication(domain(X0),one))),addition(X_836,multiplication(X_836,domain(X0)))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
( multiplication(X_836,one) != addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))
| X_836 = addition(X_836,multiplication(X_836,domain(X0))) ),
inference(resolve,[$cnf( $equal(X_836,addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))) )],[refute_0_643,refute_0_654]) ).
cnf(refute_0_656,plain,
X_836 = addition(X_836,multiplication(X_836,domain(X0))),
inference(resolve,[$cnf( $equal(multiplication(X_836,one),addition(X_836,multiplication(X_836,multiplication(domain(X0),one)))) )],[refute_0_640,refute_0_655]) ).
cnf(refute_0_657,plain,
X_1303 = addition(X_1303,multiplication(X_1303,domain(X0))),
inference(subst,[],[refute_0_656:[bind(X_836,$fot(X_1303))]]) ).
cnf(refute_0_658,plain,
( X_1303 != addition(X_1303,multiplication(X_1303,domain(X0)))
| addition(X_1303,multiplication(X_1303,domain(X0))) = X_1303 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(X_1303)),bind(Y,$fot(addition(X_1303,multiplication(X_1303,domain(X0)))))]]) ).
cnf(refute_0_659,plain,
addition(X_1303,multiplication(X_1303,domain(X0))) = X_1303,
inference(resolve,[$cnf( $equal(X_1303,addition(X_1303,multiplication(X_1303,domain(X0)))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
( addition(X_1303,multiplication(X_1303,domain(X0))) != X_1303
| antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))) != multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))))
| antidomain(X_1303) = multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))),multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))))) ),[0,0],$fot(X_1303)]]) ).
cnf(refute_0_661,plain,
( antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))) != multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))))
| antidomain(X_1303) = multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) ),
inference(resolve,[$cnf( $equal(addition(X_1303,multiplication(X_1303,domain(X0))),X_1303) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
antidomain(X_1303) = multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))),
inference(resolve,[$cnf( $equal(antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))),multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))))) )],[refute_0_628,refute_0_661]) ).
cnf(refute_0_663,plain,
multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),addition(domain(X_867),antidomain(addition(X_867,multiplication(X_867,X_868))))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))),
inference(subst,[],[refute_0_292:[bind(X_173,$fot(domain(X_867))),bind(X_174,$fot(antidomain(addition(X_867,multiplication(X_867,X_868)))))]]) ).
cnf(refute_0_664,plain,
addition(domain(domain(X_515)),antidomain(multiplication(domain(X_515),addition(X_514,X_515)))) = one,
inference(subst,[],[refute_0_345:[bind(X_322,$fot(domain(X_515))),bind(X_324,$fot(addition(X_514,X_515)))]]) ).
cnf(refute_0_665,plain,
multiplication(domain(X_515),addition(X_514,X_515)) = addition(X_515,multiplication(domain(X_515),X_514)),
inference(subst,[],[refute_0_292:[bind(X_173,$fot(X_514)),bind(X_174,$fot(X_515))]]) ).
cnf(refute_0_666,plain,
( addition(domain(domain(X_515)),antidomain(multiplication(domain(X_515),addition(X_514,X_515)))) != one
| multiplication(domain(X_515),addition(X_514,X_515)) != addition(X_515,multiplication(domain(X_515),X_514))
| addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(domain(X_515)),antidomain(multiplication(domain(X_515),addition(X_514,X_515)))),one) ),[0,1,0],$fot(addition(X_515,multiplication(domain(X_515),X_514)))]]) ).
cnf(refute_0_667,plain,
( addition(domain(domain(X_515)),antidomain(multiplication(domain(X_515),addition(X_514,X_515)))) != one
| addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = one ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_515),addition(X_514,X_515)),addition(X_515,multiplication(domain(X_515),X_514))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(domain(X_515)),antidomain(multiplication(domain(X_515),addition(X_514,X_515)))),one) )],[refute_0_664,refute_0_667]) ).
cnf(refute_0_669,plain,
domain(domain(X_515)) = domain(X_515),
inference(subst,[],[refute_0_89:[bind(X_14,$fot(X_515))]]) ).
cnf(refute_0_670,plain,
addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))),
introduced(tautology,[refl,[$fot(addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))))]]) ).
cnf(refute_0_671,plain,
( addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) != addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514))))
| domain(domain(X_515)) != domain(X_515)
| addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))),addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514))))) ),[1,0],$fot(domain(X_515))]]) ).
cnf(refute_0_672,plain,
( domain(domain(X_515)) != domain(X_515)
| addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) ),
inference(resolve,[$cnf( $equal(addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))),addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514))))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))),
inference(resolve,[$cnf( $equal(domain(domain(X_515)),domain(X_515)) )],[refute_0_669,refute_0_672]) ).
cnf(refute_0_674,plain,
( addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) != addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514))))
| addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) != one
| addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))),one) ),[0],$fot(addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))))]]) ).
cnf(refute_0_675,plain,
( addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) != one
| addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))),addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514))))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(domain(X_515)),antidomain(addition(X_515,multiplication(domain(X_515),X_514)))),one) )],[refute_0_668,refute_0_675]) ).
cnf(refute_0_677,plain,
addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),multiplication(X_515,X_772))))) = one,
inference(subst,[],[refute_0_676:[bind(X_514,$fot(multiplication(X_515,X_772)))]]) ).
cnf(refute_0_678,plain,
multiplication(domain(X_515),multiplication(X_515,X_772)) = multiplication(X_515,X_772),
inference(subst,[],[refute_0_407:[bind(B,$fot(X_515)),bind(C,$fot(X_772))]]) ).
cnf(refute_0_679,plain,
( addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),multiplication(X_515,X_772))))) != one
| multiplication(domain(X_515),multiplication(X_515,X_772)) != multiplication(X_515,X_772)
| addition(domain(X_515),antidomain(addition(X_515,multiplication(X_515,X_772)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),multiplication(X_515,X_772))))),one) ),[0,1,0,1],$fot(multiplication(X_515,X_772))]]) ).
cnf(refute_0_680,plain,
( addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),multiplication(X_515,X_772))))) != one
| addition(domain(X_515),antidomain(addition(X_515,multiplication(X_515,X_772)))) = one ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_515),multiplication(X_515,X_772)),multiplication(X_515,X_772)) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
addition(domain(X_515),antidomain(addition(X_515,multiplication(X_515,X_772)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(X_515),antidomain(addition(X_515,multiplication(domain(X_515),multiplication(X_515,X_772))))),one) )],[refute_0_677,refute_0_680]) ).
cnf(refute_0_682,plain,
addition(domain(X_867),antidomain(addition(X_867,multiplication(X_867,X_868)))) = one,
inference(subst,[],[refute_0_681:[bind(X_515,$fot(X_867)),bind(X_772,$fot(X_868))]]) ).
cnf(refute_0_683,plain,
( addition(domain(X_867),antidomain(addition(X_867,multiplication(X_867,X_868)))) != one
| multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),addition(domain(X_867),antidomain(addition(X_867,multiplication(X_867,X_868))))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),addition(domain(X_867),antidomain(addition(X_867,multiplication(X_867,X_868))))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_684,plain,
( multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),addition(domain(X_867),antidomain(addition(X_867,multiplication(X_867,X_868))))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_867),antidomain(addition(X_867,multiplication(X_867,X_868)))),one) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),addition(domain(X_867),antidomain(addition(X_867,multiplication(X_867,X_868))))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) )],[refute_0_663,refute_0_684]) ).
cnf(refute_0_686,plain,
multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one) = domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),
inference(subst,[],[refute_0_51:[bind(A,$fot(domain(antidomain(addition(X_867,multiplication(X_867,X_868))))))]]) ).
cnf(refute_0_687,plain,
( multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one) != domain(antidomain(addition(X_867,multiplication(X_867,X_868))))
| domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) ),[0],$fot(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))))]]) ).
cnf(refute_0_688,plain,
( multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one),domain(antidomain(addition(X_867,multiplication(X_867,X_868))))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),one),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) )],[refute_0_685,refute_0_688]) ).
cnf(refute_0_690,plain,
domain(multiplication(X0,addition(X_801,one))) = domain(multiplication(X0,domain(addition(X_801,one)))),
inference(subst,[],[refute_0_73:[bind(X1,$fot(addition(X_801,one)))]]) ).
cnf(refute_0_691,plain,
multiplication(X_172,addition(X_173,one)) = addition(multiplication(X_172,X_173),multiplication(X_172,one)),
inference(subst,[],[refute_0_111:[bind(A,$fot(X_172)),bind(B,$fot(X_173)),bind(C,$fot(one))]]) ).
cnf(refute_0_692,plain,
( multiplication(X_172,addition(X_173,one)) != addition(multiplication(X_172,X_173),multiplication(X_172,one))
| multiplication(X_172,one) != X_172
| multiplication(X_172,addition(X_173,one)) = addition(multiplication(X_172,X_173),X_172) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_172,addition(X_173,one)),addition(multiplication(X_172,X_173),multiplication(X_172,one))) ),[1,1],$fot(X_172)]]) ).
cnf(refute_0_693,plain,
( multiplication(X_172,addition(X_173,one)) != addition(multiplication(X_172,X_173),multiplication(X_172,one))
| multiplication(X_172,addition(X_173,one)) = addition(multiplication(X_172,X_173),X_172) ),
inference(resolve,[$cnf( $equal(multiplication(X_172,one),X_172) )],[refute_0_630,refute_0_692]) ).
cnf(refute_0_694,plain,
multiplication(X_172,addition(X_173,one)) = addition(multiplication(X_172,X_173),X_172),
inference(resolve,[$cnf( $equal(multiplication(X_172,addition(X_173,one)),addition(multiplication(X_172,X_173),multiplication(X_172,one))) )],[refute_0_691,refute_0_693]) ).
cnf(refute_0_695,plain,
addition(multiplication(X_172,X_173),X_172) = addition(X_172,multiplication(X_172,X_173)),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_172)),bind(B,$fot(multiplication(X_172,X_173)))]]) ).
cnf(refute_0_696,plain,
( addition(multiplication(X_172,X_173),X_172) != addition(X_172,multiplication(X_172,X_173))
| multiplication(X_172,addition(X_173,one)) != addition(multiplication(X_172,X_173),X_172)
| multiplication(X_172,addition(X_173,one)) = addition(X_172,multiplication(X_172,X_173)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_172,addition(X_173,one)),addition(multiplication(X_172,X_173),X_172)) ),[1],$fot(addition(X_172,multiplication(X_172,X_173)))]]) ).
cnf(refute_0_697,plain,
( multiplication(X_172,addition(X_173,one)) != addition(multiplication(X_172,X_173),X_172)
| multiplication(X_172,addition(X_173,one)) = addition(X_172,multiplication(X_172,X_173)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_172,X_173),X_172),addition(X_172,multiplication(X_172,X_173))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
multiplication(X_172,addition(X_173,one)) = addition(X_172,multiplication(X_172,X_173)),
inference(resolve,[$cnf( $equal(multiplication(X_172,addition(X_173,one)),addition(multiplication(X_172,X_173),X_172)) )],[refute_0_694,refute_0_697]) ).
cnf(refute_0_699,plain,
multiplication(X0,addition(X_801,one)) = addition(X0,multiplication(X0,X_801)),
inference(subst,[],[refute_0_698:[bind(X_172,$fot(X0)),bind(X_173,$fot(X_801))]]) ).
cnf(refute_0_700,plain,
( domain(multiplication(X0,addition(X_801,one))) != domain(multiplication(X0,domain(addition(X_801,one))))
| multiplication(X0,addition(X_801,one)) != addition(X0,multiplication(X0,X_801))
| domain(addition(X0,multiplication(X0,X_801))) = domain(multiplication(X0,domain(addition(X_801,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,addition(X_801,one))),domain(multiplication(X0,domain(addition(X_801,one))))) ),[0,0],$fot(addition(X0,multiplication(X0,X_801)))]]) ).
cnf(refute_0_701,plain,
( domain(multiplication(X0,addition(X_801,one))) != domain(multiplication(X0,domain(addition(X_801,one))))
| domain(addition(X0,multiplication(X0,X_801))) = domain(multiplication(X0,domain(addition(X_801,one)))) ),
inference(resolve,[$cnf( $equal(multiplication(X0,addition(X_801,one)),addition(X0,multiplication(X0,X_801))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
domain(addition(X0,multiplication(X0,X_801))) = domain(multiplication(X0,domain(addition(X_801,one)))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_801,one))),domain(multiplication(X0,domain(addition(X_801,one))))) )],[refute_0_690,refute_0_701]) ).
cnf(refute_0_703,plain,
domain(multiplication(X0,addition(X_26,one))) = domain(multiplication(X0,domain(addition(X_26,one)))),
inference(subst,[],[refute_0_73:[bind(X1,$fot(addition(X_26,one)))]]) ).
cnf(refute_0_704,plain,
domain(addition(X_24,one)) = addition(domain(X_24),domain(one)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_24)),bind(X1,$fot(one))]]) ).
cnf(refute_0_705,plain,
( domain(addition(X_24,one)) != addition(domain(X_24),domain(one))
| domain(one) != one
| domain(addition(X_24,one)) = addition(domain(X_24),one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X_24,one)),addition(domain(X_24),domain(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_706,plain,
( domain(addition(X_24,one)) != addition(domain(X_24),domain(one))
| domain(addition(X_24,one)) = addition(domain(X_24),one) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_69,refute_0_705]) ).
cnf(refute_0_707,plain,
domain(addition(X_24,one)) = addition(domain(X_24),one),
inference(resolve,[$cnf( $equal(domain(addition(X_24,one)),addition(domain(X_24),domain(one))) )],[refute_0_704,refute_0_706]) ).
cnf(refute_0_708,plain,
addition(one,domain(X_24)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(X_24))]]) ).
cnf(refute_0_709,plain,
addition(domain(X_24),one) = addition(one,domain(X_24)),
inference(subst,[],[refute_0_41:[bind(A,$fot(one)),bind(B,$fot(domain(X_24)))]]) ).
cnf(refute_0_710,plain,
( addition(domain(X_24),one) != addition(one,domain(X_24))
| addition(one,domain(X_24)) != one
| addition(domain(X_24),one) = one ),
inference(subst,[],[refute_0_224:[bind(X,$fot(addition(domain(X_24),one))),bind(Y,$fot(addition(one,domain(X_24)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_711,plain,
( addition(one,domain(X_24)) != one
| addition(domain(X_24),one) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_24),one),addition(one,domain(X_24))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
addition(domain(X_24),one) = one,
inference(resolve,[$cnf( $equal(addition(one,domain(X_24)),one) )],[refute_0_708,refute_0_711]) ).
cnf(refute_0_713,plain,
( addition(domain(X_24),one) != one
| domain(addition(X_24,one)) != addition(domain(X_24),one)
| domain(addition(X_24,one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X_24,one)),addition(domain(X_24),one)) ),[1],$fot(one)]]) ).
cnf(refute_0_714,plain,
( domain(addition(X_24,one)) != addition(domain(X_24),one)
| domain(addition(X_24,one)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_24),one),one) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
domain(addition(X_24,one)) = one,
inference(resolve,[$cnf( $equal(domain(addition(X_24,one)),addition(domain(X_24),one)) )],[refute_0_707,refute_0_714]) ).
cnf(refute_0_716,plain,
domain(addition(X_26,one)) = one,
inference(subst,[],[refute_0_715:[bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_717,plain,
( domain(addition(X_26,one)) != one
| domain(multiplication(X0,addition(X_26,one))) != domain(multiplication(X0,domain(addition(X_26,one))))
| domain(multiplication(X0,addition(X_26,one))) = domain(multiplication(X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,addition(X_26,one))),domain(multiplication(X0,domain(addition(X_26,one))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_718,plain,
( domain(multiplication(X0,addition(X_26,one))) != domain(multiplication(X0,domain(addition(X_26,one))))
| domain(multiplication(X0,addition(X_26,one))) = domain(multiplication(X0,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_26,one)),one) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
domain(multiplication(X0,addition(X_26,one))) = domain(multiplication(X0,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_26,one))),domain(multiplication(X0,domain(addition(X_26,one))))) )],[refute_0_703,refute_0_718]) ).
cnf(refute_0_720,plain,
( domain(multiplication(X0,addition(X_26,one))) != domain(multiplication(X0,one))
| domain(multiplication(X0,one)) != domain(X0)
| domain(multiplication(X0,addition(X_26,one))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X0,addition(X_26,one))),domain(X0)) ),[0],$fot(domain(multiplication(X0,one)))]]) ).
cnf(refute_0_721,plain,
( domain(multiplication(X0,addition(X_26,one))) != domain(multiplication(X0,one))
| domain(multiplication(X0,addition(X_26,one))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,one)),domain(X0)) )],[refute_0_196,refute_0_720]) ).
cnf(refute_0_722,plain,
domain(multiplication(X0,addition(X_26,one))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_26,one))),domain(multiplication(X0,one))) )],[refute_0_719,refute_0_721]) ).
cnf(refute_0_723,plain,
domain(multiplication(X0,addition(X_801,one))) = domain(X0),
inference(subst,[],[refute_0_722:[bind(X_26,$fot(X_801))]]) ).
cnf(refute_0_724,plain,
domain(multiplication(X0,domain(addition(X_801,one)))) = domain(multiplication(X0,addition(X_801,one))),
inference(subst,[],[refute_0_390:[bind(X1,$fot(addition(X_801,one)))]]) ).
cnf(refute_0_725,plain,
( domain(multiplication(X0,addition(X_801,one))) != domain(X0)
| domain(multiplication(X0,domain(addition(X_801,one)))) != domain(multiplication(X0,addition(X_801,one)))
| domain(multiplication(X0,domain(addition(X_801,one)))) = domain(X0) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(domain(multiplication(X0,domain(addition(X_801,one)))))),bind(Y,$fot(domain(multiplication(X0,addition(X_801,one))))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_726,plain,
( domain(multiplication(X0,addition(X_801,one))) != domain(X0)
| domain(multiplication(X0,domain(addition(X_801,one)))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(addition(X_801,one)))),domain(multiplication(X0,addition(X_801,one)))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
domain(multiplication(X0,domain(addition(X_801,one)))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_801,one))),domain(X0)) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
( domain(addition(X0,multiplication(X0,X_801))) != domain(multiplication(X0,domain(addition(X_801,one))))
| domain(multiplication(X0,domain(addition(X_801,one)))) != domain(X0)
| domain(addition(X0,multiplication(X0,X_801))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(addition(X0,multiplication(X0,X_801))),domain(X0)) ),[0],$fot(domain(multiplication(X0,domain(addition(X_801,one)))))]]) ).
cnf(refute_0_729,plain,
( domain(addition(X0,multiplication(X0,X_801))) != domain(multiplication(X0,domain(addition(X_801,one))))
| domain(addition(X0,multiplication(X0,X_801))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(addition(X_801,one)))),domain(X0)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
domain(addition(X0,multiplication(X0,X_801))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(addition(X0,multiplication(X0,X_801))),domain(multiplication(X0,domain(addition(X_801,one))))) )],[refute_0_702,refute_0_729]) ).
cnf(refute_0_731,plain,
domain(addition(X_867,multiplication(X_867,X_868))) = domain(X_867),
inference(subst,[],[refute_0_730:[bind(X0,$fot(X_867)),bind(X_801,$fot(X_868))]]) ).
cnf(refute_0_732,plain,
antidomain(domain(addition(X_867,multiplication(X_867,X_868)))) = antidomain(domain(addition(X_867,multiplication(X_867,X_868)))),
introduced(tautology,[refl,[$fot(antidomain(domain(addition(X_867,multiplication(X_867,X_868)))))]]) ).
cnf(refute_0_733,plain,
( antidomain(domain(addition(X_867,multiplication(X_867,X_868)))) != antidomain(domain(addition(X_867,multiplication(X_867,X_868))))
| domain(addition(X_867,multiplication(X_867,X_868))) != domain(X_867)
| antidomain(domain(addition(X_867,multiplication(X_867,X_868)))) = antidomain(domain(X_867)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(addition(X_867,multiplication(X_867,X_868)))),antidomain(domain(addition(X_867,multiplication(X_867,X_868))))) ),[1,0],$fot(domain(X_867))]]) ).
cnf(refute_0_734,plain,
( domain(addition(X_867,multiplication(X_867,X_868))) != domain(X_867)
| antidomain(domain(addition(X_867,multiplication(X_867,X_868)))) = antidomain(domain(X_867)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(addition(X_867,multiplication(X_867,X_868)))),antidomain(domain(addition(X_867,multiplication(X_867,X_868))))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
antidomain(domain(addition(X_867,multiplication(X_867,X_868)))) = antidomain(domain(X_867)),
inference(resolve,[$cnf( $equal(domain(addition(X_867,multiplication(X_867,X_868))),domain(X_867)) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) = antidomain(domain(addition(X_867,multiplication(X_867,X_868)))),
inference(subst,[],[refute_0_603:[bind(X_15,$fot(addition(X_867,multiplication(X_867,X_868))))]]) ).
cnf(refute_0_737,plain,
( antidomain(domain(addition(X_867,multiplication(X_867,X_868)))) != antidomain(domain(X_867))
| domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) != antidomain(domain(addition(X_867,multiplication(X_867,X_868))))
| domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) = antidomain(domain(X_867)) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))))),bind(Y,$fot(antidomain(domain(addition(X_867,multiplication(X_867,X_868)))))),bind(Z,$fot(antidomain(domain(X_867))))]]) ).
cnf(refute_0_738,plain,
( antidomain(domain(addition(X_867,multiplication(X_867,X_868)))) != antidomain(domain(X_867))
| domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) = antidomain(domain(X_867)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),antidomain(domain(addition(X_867,multiplication(X_867,X_868))))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) = antidomain(domain(X_867)),
inference(resolve,[$cnf( $equal(antidomain(domain(addition(X_867,multiplication(X_867,X_868)))),antidomain(domain(X_867))) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
( domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) != antidomain(domain(X_867))
| antidomain(domain(X_867)) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) ),[0],$fot(antidomain(domain(X_867)))]]) ).
cnf(refute_0_741,plain,
( domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| antidomain(domain(X_867)) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),antidomain(domain(X_867))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)) = multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))]]) ).
cnf(refute_0_743,plain,
( domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) != antidomain(domain(X_867))
| multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)) != multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))
| multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)) = multiplication(antidomain(domain(X_867)),domain(X_867)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) ),[1,0],$fot(antidomain(domain(X_867)))]]) ).
cnf(refute_0_744,plain,
( domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) != antidomain(domain(X_867))
| multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)) = multiplication(antidomain(domain(X_867)),domain(X_867)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)) = multiplication(antidomain(domain(X_867)),domain(X_867)),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),antidomain(domain(X_867))) )],[refute_0_739,refute_0_744]) ).
cnf(refute_0_746,plain,
addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))),
introduced(tautology,[refl,[$fot(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))))]]) ).
cnf(refute_0_747,plain,
( addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)) != multiplication(antidomain(domain(X_867)),domain(X_867))
| addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) ),[1,1],$fot(multiplication(antidomain(domain(X_867)),domain(X_867)))]]) ).
cnf(refute_0_748,plain,
( multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)) != multiplication(antidomain(domain(X_867)),domain(X_867))
| addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)),multiplication(antidomain(domain(X_867)),domain(X_867))) )],[refute_0_745,refute_0_748]) ).
cnf(refute_0_750,plain,
( addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))
| antidomain(domain(X_867)) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| antidomain(domain(X_867)) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X_867)),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) ),[1],$fot(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))))]]) ).
cnf(refute_0_751,plain,
( antidomain(domain(X_867)) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| antidomain(domain(X_867)) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
( domain(antidomain(addition(X_867,multiplication(X_867,X_868)))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))
| antidomain(domain(X_867)) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_867)),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) )],[refute_0_741,refute_0_751]) ).
cnf(refute_0_753,plain,
antidomain(domain(X_867)) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(domain(antidomain(addition(X_867,multiplication(X_867,X_868)))),domain(X_867)))) )],[refute_0_689,refute_0_752]) ).
cnf(refute_0_754,plain,
addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero) = antidomain(addition(X_867,multiplication(X_867,X_868))),
inference(subst,[],[refute_0_7:[bind(A,$fot(antidomain(addition(X_867,multiplication(X_867,X_868)))))]]) ).
cnf(refute_0_755,plain,
domain(antidomain(X_1188)) = antidomain(domain(X_1188)),
inference(subst,[],[refute_0_603:[bind(X_15,$fot(X_1188))]]) ).
cnf(refute_0_756,plain,
multiplication(domain(antidomain(X_1188)),domain(X_1188)) = multiplication(domain(antidomain(X_1188)),domain(X_1188)),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(X_1188)),domain(X_1188)))]]) ).
cnf(refute_0_757,plain,
( domain(antidomain(X_1188)) != antidomain(domain(X_1188))
| multiplication(domain(antidomain(X_1188)),domain(X_1188)) != multiplication(domain(antidomain(X_1188)),domain(X_1188))
| multiplication(domain(antidomain(X_1188)),domain(X_1188)) = multiplication(antidomain(domain(X_1188)),domain(X_1188)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_1188)),domain(X_1188)),multiplication(domain(antidomain(X_1188)),domain(X_1188))) ),[1,0],$fot(antidomain(domain(X_1188)))]]) ).
cnf(refute_0_758,plain,
( domain(antidomain(X_1188)) != antidomain(domain(X_1188))
| multiplication(domain(antidomain(X_1188)),domain(X_1188)) = multiplication(antidomain(domain(X_1188)),domain(X_1188)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1188)),domain(X_1188)),multiplication(domain(antidomain(X_1188)),domain(X_1188))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
multiplication(domain(antidomain(X_1188)),domain(X_1188)) = multiplication(antidomain(domain(X_1188)),domain(X_1188)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1188)),antidomain(domain(X_1188))) )],[refute_0_755,refute_0_758]) ).
cnf(refute_0_760,plain,
( multiplication(domain(antidomain(X_1188)),domain(X_1188)) != multiplication(antidomain(domain(X_1188)),domain(X_1188))
| multiplication(domain(antidomain(X_1188)),domain(X_1188)) != zero
| multiplication(antidomain(domain(X_1188)),domain(X_1188)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_1188)),domain(X_1188)),zero) ),[0],$fot(multiplication(antidomain(domain(X_1188)),domain(X_1188)))]]) ).
cnf(refute_0_761,plain,
( multiplication(domain(antidomain(X_1188)),domain(X_1188)) != zero
| multiplication(antidomain(domain(X_1188)),domain(X_1188)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1188)),domain(X_1188)),multiplication(antidomain(domain(X_1188)),domain(X_1188))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
multiplication(antidomain(domain(X_1188)),domain(X_1188)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1188)),domain(X_1188)),zero) )],[refute_0_592,refute_0_761]) ).
cnf(refute_0_763,plain,
multiplication(antidomain(domain(X_867)),domain(X_867)) = zero,
inference(subst,[],[refute_0_762:[bind(X_1188,$fot(X_867))]]) ).
cnf(refute_0_764,plain,
addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))),
introduced(tautology,[refl,[$fot(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))))]]) ).
cnf(refute_0_765,plain,
( addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))
| multiplication(antidomain(domain(X_867)),domain(X_867)) != zero
| addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_766,plain,
( multiplication(antidomain(domain(X_867)),domain(X_867)) != zero
| addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) = addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_867)),domain(X_867)),zero) )],[refute_0_763,refute_0_766]) ).
cnf(refute_0_768,plain,
( addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero)
| addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero) != antidomain(addition(X_867,multiplication(X_867,X_868)))
| addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) = antidomain(addition(X_867,multiplication(X_867,X_868))) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))))),bind(Y,$fot(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero))),bind(Z,$fot(antidomain(addition(X_867,multiplication(X_867,X_868)))))]]) ).
cnf(refute_0_769,plain,
( addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero) != antidomain(addition(X_867,multiplication(X_867,X_868)))
| addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) = antidomain(addition(X_867,multiplication(X_867,X_868))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero)) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) = antidomain(addition(X_867,multiplication(X_867,X_868))),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),zero),antidomain(addition(X_867,multiplication(X_867,X_868)))) )],[refute_0_754,refute_0_769]) ).
cnf(refute_0_771,plain,
( addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))) != antidomain(addition(X_867,multiplication(X_867,X_868)))
| antidomain(domain(X_867)) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))
| antidomain(domain(X_867)) = antidomain(addition(X_867,multiplication(X_867,X_868))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X_867)),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))) ),[1],$fot(antidomain(addition(X_867,multiplication(X_867,X_868))))]]) ).
cnf(refute_0_772,plain,
( antidomain(domain(X_867)) != addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))
| antidomain(domain(X_867)) = antidomain(addition(X_867,multiplication(X_867,X_868))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867))),antidomain(addition(X_867,multiplication(X_867,X_868)))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
antidomain(domain(X_867)) = antidomain(addition(X_867,multiplication(X_867,X_868))),
inference(resolve,[$cnf( $equal(antidomain(domain(X_867)),addition(antidomain(addition(X_867,multiplication(X_867,X_868))),multiplication(antidomain(domain(X_867)),domain(X_867)))) )],[refute_0_753,refute_0_772]) ).
cnf(refute_0_774,plain,
( antidomain(domain(X_867)) != antidomain(addition(X_867,multiplication(X_867,X_868)))
| antidomain(addition(X_867,multiplication(X_867,X_868))) = antidomain(domain(X_867)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(antidomain(domain(X_867)))),bind(Y,$fot(antidomain(addition(X_867,multiplication(X_867,X_868)))))]]) ).
cnf(refute_0_775,plain,
antidomain(addition(X_867,multiplication(X_867,X_868))) = antidomain(domain(X_867)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_867)),antidomain(addition(X_867,multiplication(X_867,X_868)))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))) = antidomain(domain(X_1303)),
inference(subst,[],[refute_0_775:[bind(X_867,$fot(X_1303)),bind(X_868,$fot(domain(X0)))]]) ).
cnf(refute_0_777,plain,
( antidomain(addition(X_56,X_57)) != multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))
| multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))) = antidomain(addition(X_56,X_57)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(antidomain(addition(X_56,X_57)))),bind(Y,$fot(multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))))]]) ).
cnf(refute_0_778,plain,
multiplication(antidomain(X_57),antidomain(addition(X_56,X_57))) = antidomain(addition(X_56,X_57)),
inference(resolve,[$cnf( $equal(antidomain(addition(X_56,X_57)),multiplication(antidomain(X_57),antidomain(addition(X_56,X_57)))) )],[refute_0_627,refute_0_777]) ).
cnf(refute_0_779,plain,
multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) = antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))),
inference(subst,[],[refute_0_778:[bind(X_56,$fot(X_1303)),bind(X_57,$fot(multiplication(X_1303,domain(X0))))]]) ).
cnf(refute_0_780,plain,
( antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))) != antidomain(domain(X_1303))
| multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) != antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))
| multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) = antidomain(domain(X_1303)) ),
inference(subst,[],[refute_0_224:[bind(X,$fot(multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))))),bind(Y,$fot(antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))))),bind(Z,$fot(antidomain(domain(X_1303))))]]) ).
cnf(refute_0_781,plain,
( antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))) != antidomain(domain(X_1303))
| multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) = antidomain(domain(X_1303)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) = antidomain(domain(X_1303)),
inference(resolve,[$cnf( $equal(antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))),antidomain(domain(X_1303))) )],[refute_0_776,refute_0_781]) ).
cnf(refute_0_783,plain,
( antidomain(X_1303) != multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))))
| multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))) != antidomain(domain(X_1303))
| antidomain(X_1303) = antidomain(domain(X_1303)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(X_1303),antidomain(domain(X_1303))) ),[0],$fot(multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))))]]) ).
cnf(refute_0_784,plain,
( antidomain(X_1303) != multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))))
| antidomain(X_1303) = antidomain(domain(X_1303)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0))))),antidomain(domain(X_1303))) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
antidomain(X_1303) = antidomain(domain(X_1303)),
inference(resolve,[$cnf( $equal(antidomain(X_1303),multiplication(antidomain(multiplication(X_1303,domain(X0))),antidomain(addition(X_1303,multiplication(X_1303,domain(X0)))))) )],[refute_0_662,refute_0_784]) ).
cnf(refute_0_786,plain,
( antidomain(X_1303) != antidomain(domain(X_1303))
| antidomain(domain(X_1303)) = antidomain(X_1303) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(antidomain(X_1303))),bind(Y,$fot(antidomain(domain(X_1303))))]]) ).
cnf(refute_0_787,plain,
antidomain(domain(X_1303)) = antidomain(X_1303),
inference(resolve,[$cnf( $equal(antidomain(X_1303),antidomain(domain(X_1303))) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
antidomain(domain(X_1073)) = antidomain(X_1073),
inference(subst,[],[refute_0_787:[bind(X_1303,$fot(X_1073))]]) ).
cnf(refute_0_789,plain,
antidomain(antidomain(domain(X_1073))) = antidomain(antidomain(domain(X_1073))),
introduced(tautology,[refl,[$fot(antidomain(antidomain(domain(X_1073))))]]) ).
cnf(refute_0_790,plain,
( antidomain(antidomain(domain(X_1073))) != antidomain(antidomain(domain(X_1073)))
| antidomain(domain(X_1073)) != antidomain(X_1073)
| antidomain(antidomain(domain(X_1073))) = antidomain(antidomain(X_1073)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(antidomain(domain(X_1073))),antidomain(antidomain(domain(X_1073)))) ),[1,0],$fot(antidomain(X_1073))]]) ).
cnf(refute_0_791,plain,
( antidomain(domain(X_1073)) != antidomain(X_1073)
| antidomain(antidomain(domain(X_1073))) = antidomain(antidomain(X_1073)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain(X_1073))),antidomain(antidomain(domain(X_1073)))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
antidomain(antidomain(domain(X_1073))) = antidomain(antidomain(X_1073)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_1073)),antidomain(X_1073)) )],[refute_0_788,refute_0_791]) ).
cnf(refute_0_793,plain,
multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) = multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))),
introduced(tautology,[refl,[$fot(multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))))]]) ).
cnf(refute_0_794,plain,
( antidomain(antidomain(domain(X_1073))) != antidomain(antidomain(X_1073))
| multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) != multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))
| multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) = multiplication(domain(X_1073),antidomain(antidomain(X_1073))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))),multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))) ),[1,1],$fot(antidomain(antidomain(X_1073)))]]) ).
cnf(refute_0_795,plain,
( antidomain(antidomain(domain(X_1073))) != antidomain(antidomain(X_1073))
| multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) = multiplication(domain(X_1073),antidomain(antidomain(X_1073))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))),multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) = multiplication(domain(X_1073),antidomain(antidomain(X_1073))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain(X_1073))),antidomain(antidomain(X_1073))) )],[refute_0_792,refute_0_795]) ).
cnf(refute_0_797,plain,
( domain(X_1073) != multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))
| multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))) != multiplication(domain(X_1073),antidomain(antidomain(X_1073)))
| domain(X_1073) = multiplication(domain(X_1073),antidomain(antidomain(X_1073))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(X_1073),multiplication(domain(X_1073),antidomain(antidomain(X_1073)))) ),[0],$fot(multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))))]]) ).
cnf(refute_0_798,plain,
( domain(X_1073) != multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))
| domain(X_1073) = multiplication(domain(X_1073),antidomain(antidomain(X_1073))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073)))),multiplication(domain(X_1073),antidomain(antidomain(X_1073)))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
domain(X_1073) = multiplication(domain(X_1073),antidomain(antidomain(X_1073))),
inference(resolve,[$cnf( $equal(domain(X_1073),multiplication(domain(X_1073),antidomain(antidomain(domain(X_1073))))) )],[refute_0_619,refute_0_798]) ).
cnf(refute_0_800,plain,
( domain(X_1073) != multiplication(domain(X_1073),antidomain(antidomain(X_1073)))
| multiplication(domain(X_1073),antidomain(antidomain(X_1073))) = domain(X_1073) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(domain(X_1073))),bind(Y,$fot(multiplication(domain(X_1073),antidomain(antidomain(X_1073)))))]]) ).
cnf(refute_0_801,plain,
multiplication(domain(X_1073),antidomain(antidomain(X_1073))) = domain(X_1073),
inference(resolve,[$cnf( $equal(domain(X_1073),multiplication(domain(X_1073),antidomain(antidomain(X_1073)))) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
multiplication(domain(X_1594),antidomain(antidomain(X_1594))) = domain(X_1594),
inference(subst,[],[refute_0_801:[bind(X_1073,$fot(X_1594))]]) ).
cnf(refute_0_803,plain,
( antidomain(antidomain(X_1594)) != multiplication(domain(X_1594),antidomain(antidomain(X_1594)))
| multiplication(domain(X_1594),antidomain(antidomain(X_1594))) != domain(X_1594)
| antidomain(antidomain(X_1594)) = domain(X_1594) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(antidomain(X_1594)),domain(X_1594)) ),[0],$fot(multiplication(domain(X_1594),antidomain(antidomain(X_1594))))]]) ).
cnf(refute_0_804,plain,
( antidomain(antidomain(X_1594)) != multiplication(domain(X_1594),antidomain(antidomain(X_1594)))
| antidomain(antidomain(X_1594)) = domain(X_1594) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1594),antidomain(antidomain(X_1594))),domain(X_1594)) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
( multiplication(one,antidomain(antidomain(X_1594))) != multiplication(domain(X_1594),antidomain(antidomain(X_1594)))
| antidomain(antidomain(X_1594)) = domain(X_1594) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_1594)),multiplication(domain(X_1594),antidomain(antidomain(X_1594)))) )],[refute_0_110,refute_0_804]) ).
cnf(refute_0_806,plain,
antidomain(antidomain(X_1594)) = domain(X_1594),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(antidomain(X_1594))),multiplication(domain(X_1594),antidomain(antidomain(X_1594)))) )],[refute_0_107,refute_0_805]) ).
cnf(refute_0_807,plain,
antidomain(antidomain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_806:[bind(X_1594,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_808,plain,
( antidomain(antidomain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0)
| domain(skolemFOFtoCNF_X0) != domain(skolemFOFtoCNF_X0)
| antidomain(antidomain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(antidomain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) ),[0],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_809,plain,
( domain(skolemFOFtoCNF_X0) != domain(skolemFOFtoCNF_X0)
| antidomain(antidomain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
domain(skolemFOFtoCNF_X0) != domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(antidomain(antidomain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) )],[refute_0_809,refute_0_0]) ).
cnf(refute_0_811,plain,
domain(skolemFOFtoCNF_X0) = domain(skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_812,plain,
$false,
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) )],[refute_0_811,refute_0_810]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE080+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 09:59:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 116.01/116.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.01/116.21
% 116.01/116.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 116.10/116.28
%------------------------------------------------------------------------------