TSTP Solution File: KLE081+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE081+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 44.36s 44.54s
% Output : CNFRefutation 44.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 145
% Number of leaves : 336
% Syntax : Number of formulae : 1477 ( 765 unt; 0 def)
% Number of atoms : 2505 (2434 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 2054 (1026 ~;1016 |; 6 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 2464 ( 112 sgn 90 !; 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(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
fof(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
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 )
=> multiplication(antidomain(X0),X0) = zero ) ).
fof(subgoal_0,plain,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> multiplication(antidomain(X0),X0) = zero ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> multiplication(antidomain(X0),X0) = zero ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X0] : multiplication(antidomain(X0),X0) != zero
& ! [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] : multiplication(antidomain(X0),X0) != zero,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != zero,
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_6,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_10,plain,
! [A] : multiplication(one,A) = A,
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,
! [X0] : addition(domain(X0),one) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_14,plain,
! [X0] : addition(domain(X0),one) = one,
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_16,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = zero,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_18,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = zero,
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[domain5]) ).
fof(normalize_0_20,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_22,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_24,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_26,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_28,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = one,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_30,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = one,
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_32,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_36,plain,
domain(zero) = zero,
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_37,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_38,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_37]) ).
cnf(refute_0_0,plain,
multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != zero,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
multiplication(domain(X_269),addition(X_268,X_269)) = addition(multiplication(domain(X_269),X_268),multiplication(domain(X_269),X_269)),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X_269))),bind(B,$fot(X_268)),bind(C,$fot(X_269))]]) ).
cnf(refute_0_3,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
multiplication(addition(X_138,one),X_140) = addition(multiplication(X_138,X_140),multiplication(one,X_140)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_138)),bind(B,$fot(one)),bind(C,$fot(X_140))]]) ).
cnf(refute_0_6,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
multiplication(one,X_140) = X_140,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_140))]]) ).
cnf(refute_0_8,plain,
( multiplication(addition(X_138,one),X_140) != addition(multiplication(X_138,X_140),multiplication(one,X_140))
| multiplication(one,X_140) != X_140
| multiplication(addition(X_138,one),X_140) = addition(multiplication(X_138,X_140),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_138,one),X_140),addition(multiplication(X_138,X_140),multiplication(one,X_140))) ),[1,1],$fot(X_140)]]) ).
cnf(refute_0_9,plain,
( multiplication(addition(X_138,one),X_140) != addition(multiplication(X_138,X_140),multiplication(one,X_140))
| multiplication(addition(X_138,one),X_140) = addition(multiplication(X_138,X_140),X_140) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_140),X_140) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiplication(addition(X_138,one),X_140) = addition(multiplication(X_138,X_140),X_140),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,one),X_140),addition(multiplication(X_138,X_140),multiplication(one,X_140))) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_16,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
addition(multiplication(X_138,X_140),X_140) = addition(X_140,multiplication(X_138,X_140)),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_140)),bind(B,$fot(multiplication(X_138,X_140)))]]) ).
cnf(refute_0_18,plain,
( addition(multiplication(X_138,X_140),X_140) != addition(X_140,multiplication(X_138,X_140))
| multiplication(addition(X_138,one),X_140) != addition(multiplication(X_138,X_140),X_140)
| multiplication(addition(X_138,one),X_140) = addition(X_140,multiplication(X_138,X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_138,one),X_140),addition(multiplication(X_138,X_140),X_140)) ),[1],$fot(addition(X_140,multiplication(X_138,X_140)))]]) ).
cnf(refute_0_19,plain,
( multiplication(addition(X_138,one),X_140) != addition(multiplication(X_138,X_140),X_140)
| multiplication(addition(X_138,one),X_140) = addition(X_140,multiplication(X_138,X_140)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_138,X_140),X_140),addition(X_140,multiplication(X_138,X_140))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
multiplication(addition(X_138,one),X_140) = addition(X_140,multiplication(X_138,X_140)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,one),X_140),addition(multiplication(X_138,X_140),X_140)) )],[refute_0_10,refute_0_19]) ).
cnf(refute_0_21,plain,
multiplication(addition(domain(X0),one),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(subst,[],[refute_0_20:[bind(X_138,$fot(domain(X0))),bind(X_140,$fot(X0))]]) ).
cnf(refute_0_22,plain,
( multiplication(addition(domain(X0),one),X0) != addition(X0,multiplication(domain(X0),X0))
| addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(addition(X0,multiplication(domain(X0),X0))))]]) ).
cnf(refute_0_23,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),addition(X0,multiplication(domain(X0),X0))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(addition(domain(X0),one),X0)
| addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) ),[0],$fot(multiplication(addition(domain(X0),one),X0))]]) ).
cnf(refute_0_25,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(addition(domain(X0),one),X0)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) )],[refute_0_3,refute_0_25]) ).
cnf(refute_0_27,plain,
multiplication(one,X0) = X0,
inference(subst,[],[refute_0_6:[bind(A,$fot(X0))]]) ).
cnf(refute_0_28,plain,
addition(domain(X0),one) = one,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_29,plain,
addition(domain(X0),one) = addition(one,domain(X0)),
inference(subst,[],[refute_0_16:[bind(A,$fot(one)),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_30,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_31,plain,
( addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),addition(one,domain(X0))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
addition(one,domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(addition(one,domain(X0)),X0),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),X0))]]) ).
cnf(refute_0_34,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_35,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_14,refute_0_37]) ).
cnf(refute_0_39,plain,
( multiplication(addition(one,domain(X0)),X0) != multiplication(one,X0)
| multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Y,$fot(multiplication(one,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_40,plain,
( multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(one,X0)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
multiplication(addition(one,domain(X0)),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(one,X0),X0) )],[refute_0_27,refute_0_40]) ).
cnf(refute_0_42,plain,
addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) = addition(multiplication(X_138,X_140),multiplication(X_139,X_140)),
inference(subst,[],[refute_0_11:[bind(A,$fot(multiplication(X_139,X_140))),bind(B,$fot(multiplication(X_138,X_140)))]]) ).
cnf(refute_0_43,plain,
multiplication(addition(X_138,X_139),X_140) = addition(multiplication(X_138,X_140),multiplication(X_139,X_140)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_138)),bind(B,$fot(X_139)),bind(C,$fot(X_140))]]) ).
cnf(refute_0_44,plain,
( multiplication(addition(X_138,X_139),X_140) != addition(multiplication(X_138,X_140),multiplication(X_139,X_140))
| addition(multiplication(X_138,X_140),multiplication(X_139,X_140)) = multiplication(addition(X_138,X_139),X_140) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(X_138,X_139),X_140))),bind(Y,$fot(addition(multiplication(X_138,X_140),multiplication(X_139,X_140))))]]) ).
cnf(refute_0_45,plain,
addition(multiplication(X_138,X_140),multiplication(X_139,X_140)) = multiplication(addition(X_138,X_139),X_140),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,X_139),X_140),addition(multiplication(X_138,X_140),multiplication(X_139,X_140))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( addition(multiplication(X_138,X_140),multiplication(X_139,X_140)) != multiplication(addition(X_138,X_139),X_140)
| addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) != addition(multiplication(X_138,X_140),multiplication(X_139,X_140))
| addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) = multiplication(addition(X_138,X_139),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_139,X_140),multiplication(X_138,X_140)),addition(multiplication(X_138,X_140),multiplication(X_139,X_140))) ),[1],$fot(multiplication(addition(X_138,X_139),X_140))]]) ).
cnf(refute_0_47,plain,
( addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) != addition(multiplication(X_138,X_140),multiplication(X_139,X_140))
| addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) = multiplication(addition(X_138,X_139),X_140) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_138,X_140),multiplication(X_139,X_140)),multiplication(addition(X_138,X_139),X_140)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) = multiplication(addition(X_138,X_139),X_140),
inference(resolve,[$cnf( $equal(addition(multiplication(X_139,X_140),multiplication(X_138,X_140)),addition(multiplication(X_138,X_140),multiplication(X_139,X_140))) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_50,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_4,refute_0_49]) ).
cnf(refute_0_51,plain,
addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) = multiplication(addition(X_139,X_138),X_140),
inference(subst,[],[refute_0_50:[bind(A,$fot(X_139)),bind(B,$fot(X_138)),bind(C,$fot(X_140))]]) ).
cnf(refute_0_52,plain,
( addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) != multiplication(addition(X_138,X_139),X_140)
| addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) != multiplication(addition(X_139,X_138),X_140)
| multiplication(addition(X_139,X_138),X_140) = multiplication(addition(X_138,X_139),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_139,X_140),multiplication(X_138,X_140)),multiplication(addition(X_138,X_139),X_140)) ),[0],$fot(multiplication(addition(X_139,X_138),X_140))]]) ).
cnf(refute_0_53,plain,
( addition(multiplication(X_139,X_140),multiplication(X_138,X_140)) != multiplication(addition(X_138,X_139),X_140)
| multiplication(addition(X_139,X_138),X_140) = multiplication(addition(X_138,X_139),X_140) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_139,X_140),multiplication(X_138,X_140)),multiplication(addition(X_139,X_138),X_140)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiplication(addition(X_139,X_138),X_140) = multiplication(addition(X_138,X_139),X_140),
inference(resolve,[$cnf( $equal(addition(multiplication(X_139,X_140),multiplication(X_138,X_140)),multiplication(addition(X_138,X_139),X_140)) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
( multiplication(addition(X_139,X_138),X_140) != multiplication(addition(X_138,X_139),X_140)
| multiplication(addition(X_138,X_139),X_140) = multiplication(addition(X_139,X_138),X_140) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(X_139,X_138),X_140))),bind(Y,$fot(multiplication(addition(X_138,X_139),X_140)))]]) ).
cnf(refute_0_56,plain,
multiplication(addition(X_138,X_139),X_140) = multiplication(addition(X_139,X_138),X_140),
inference(resolve,[$cnf( $equal(multiplication(addition(X_139,X_138),X_140),multiplication(addition(X_138,X_139),X_140)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(addition(one,domain(X0)),X0),
inference(subst,[],[refute_0_56:[bind(X_138,$fot(domain(X0))),bind(X_139,$fot(one)),bind(X_140,$fot(X0))]]) ).
cnf(refute_0_58,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_38:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_59,plain,
( multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiplication(addition(domain(X0),one),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),X0) )],[refute_0_41,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiplication(addition(domain(X0),one),X0) != X0
| multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_62,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),X0) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
X0 = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) )],[refute_0_26,refute_0_62]) ).
cnf(refute_0_64,plain,
X_269 = multiplication(domain(X_269),X_269),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_269))]]) ).
cnf(refute_0_65,plain,
( X_269 != multiplication(domain(X_269),X_269)
| multiplication(domain(X_269),X_269) = X_269 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_269)),bind(Y,$fot(multiplication(domain(X_269),X_269)))]]) ).
cnf(refute_0_66,plain,
multiplication(domain(X_269),X_269) = X_269,
inference(resolve,[$cnf( $equal(X_269,multiplication(domain(X_269),X_269)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( multiplication(domain(X_269),X_269) != X_269
| multiplication(domain(X_269),addition(X_268,X_269)) != addition(multiplication(domain(X_269),X_268),multiplication(domain(X_269),X_269))
| multiplication(domain(X_269),addition(X_268,X_269)) = addition(multiplication(domain(X_269),X_268),X_269) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_269),addition(X_268,X_269)),addition(multiplication(domain(X_269),X_268),multiplication(domain(X_269),X_269))) ),[1,1],$fot(X_269)]]) ).
cnf(refute_0_68,plain,
( multiplication(domain(X_269),addition(X_268,X_269)) != addition(multiplication(domain(X_269),X_268),multiplication(domain(X_269),X_269))
| multiplication(domain(X_269),addition(X_268,X_269)) = addition(multiplication(domain(X_269),X_268),X_269) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_269),X_269),X_269) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
multiplication(domain(X_269),addition(X_268,X_269)) = addition(multiplication(domain(X_269),X_268),X_269),
inference(resolve,[$cnf( $equal(multiplication(domain(X_269),addition(X_268,X_269)),addition(multiplication(domain(X_269),X_268),multiplication(domain(X_269),X_269))) )],[refute_0_2,refute_0_68]) ).
cnf(refute_0_70,plain,
addition(multiplication(domain(X_269),X_268),X_269) = addition(X_269,multiplication(domain(X_269),X_268)),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_269)),bind(B,$fot(multiplication(domain(X_269),X_268)))]]) ).
cnf(refute_0_71,plain,
( addition(multiplication(domain(X_269),X_268),X_269) != addition(X_269,multiplication(domain(X_269),X_268))
| multiplication(domain(X_269),addition(X_268,X_269)) != addition(multiplication(domain(X_269),X_268),X_269)
| multiplication(domain(X_269),addition(X_268,X_269)) = addition(X_269,multiplication(domain(X_269),X_268)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_269),addition(X_268,X_269)),addition(multiplication(domain(X_269),X_268),X_269)) ),[1],$fot(addition(X_269,multiplication(domain(X_269),X_268)))]]) ).
cnf(refute_0_72,plain,
( multiplication(domain(X_269),addition(X_268,X_269)) != addition(multiplication(domain(X_269),X_268),X_269)
| multiplication(domain(X_269),addition(X_268,X_269)) = addition(X_269,multiplication(domain(X_269),X_268)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_269),X_268),X_269),addition(X_269,multiplication(domain(X_269),X_268))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiplication(domain(X_269),addition(X_268,X_269)) = addition(X_269,multiplication(domain(X_269),X_268)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_269),addition(X_268,X_269)),addition(multiplication(domain(X_269),X_268),X_269)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)),
inference(subst,[],[refute_0_73:[bind(X_269,$fot(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))))]]) ).
cnf(refute_0_75,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_76,plain,
domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))) = domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))),
inference(subst,[],[refute_0_75:[bind(X0,$fot(antidomain(domain(X_1036)))),bind(X1,$fot(domain(multiplication(X_1036,X_1035))))]]) ).
cnf(refute_0_77,plain,
multiplication(domain(X1),antidomain(X1)) = zero,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_78,plain,
multiplication(domain(addition(X_49,X_48)),antidomain(addition(X_49,X_48))) = zero,
inference(subst,[],[refute_0_77:[bind(X1,$fot(addition(X_49,X_48)))]]) ).
cnf(refute_0_79,plain,
addition(domain(X_14),domain(X_13)) = addition(domain(X_13),domain(X_14)),
inference(subst,[],[refute_0_11:[bind(A,$fot(domain(X_14))),bind(B,$fot(domain(X_13)))]]) ).
cnf(refute_0_80,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_81,plain,
domain(addition(X_13,X_14)) = addition(domain(X_13),domain(X_14)),
inference(subst,[],[refute_0_80:[bind(X0,$fot(X_13)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_82,plain,
( domain(addition(X_13,X_14)) != addition(domain(X_13),domain(X_14))
| addition(domain(X_13),domain(X_14)) = domain(addition(X_13,X_14)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(addition(X_13,X_14)))),bind(Y,$fot(addition(domain(X_13),domain(X_14))))]]) ).
cnf(refute_0_83,plain,
addition(domain(X_13),domain(X_14)) = domain(addition(X_13,X_14)),
inference(resolve,[$cnf( $equal(domain(addition(X_13,X_14)),addition(domain(X_13),domain(X_14))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( addition(domain(X_13),domain(X_14)) != domain(addition(X_13,X_14))
| addition(domain(X_14),domain(X_13)) != addition(domain(X_13),domain(X_14))
| addition(domain(X_14),domain(X_13)) = domain(addition(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_14),domain(X_13)),addition(domain(X_13),domain(X_14))) ),[1],$fot(domain(addition(X_13,X_14)))]]) ).
cnf(refute_0_85,plain,
( addition(domain(X_14),domain(X_13)) != addition(domain(X_13),domain(X_14))
| addition(domain(X_14),domain(X_13)) = domain(addition(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_13),domain(X_14)),domain(addition(X_13,X_14))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
addition(domain(X_14),domain(X_13)) = domain(addition(X_13,X_14)),
inference(resolve,[$cnf( $equal(addition(domain(X_14),domain(X_13)),addition(domain(X_13),domain(X_14))) )],[refute_0_79,refute_0_85]) ).
cnf(refute_0_87,plain,
( domain(addition(X0,X1)) != addition(domain(X0),domain(X1))
| addition(domain(X0),domain(X1)) = domain(addition(X0,X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(addition(X0,X1)))),bind(Y,$fot(addition(domain(X0),domain(X1))))]]) ).
cnf(refute_0_88,plain,
addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X0),domain(X1))) )],[refute_0_80,refute_0_87]) ).
cnf(refute_0_89,plain,
addition(domain(X_14),domain(X_13)) = domain(addition(X_14,X_13)),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_14)),bind(X1,$fot(X_13))]]) ).
cnf(refute_0_90,plain,
( addition(domain(X_14),domain(X_13)) != domain(addition(X_13,X_14))
| addition(domain(X_14),domain(X_13)) != domain(addition(X_14,X_13))
| domain(addition(X_14,X_13)) = domain(addition(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_14),domain(X_13)),domain(addition(X_13,X_14))) ),[0],$fot(domain(addition(X_14,X_13)))]]) ).
cnf(refute_0_91,plain,
( addition(domain(X_14),domain(X_13)) != domain(addition(X_13,X_14))
| domain(addition(X_14,X_13)) = domain(addition(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_14),domain(X_13)),domain(addition(X_14,X_13))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
domain(addition(X_14,X_13)) = domain(addition(X_13,X_14)),
inference(resolve,[$cnf( $equal(addition(domain(X_14),domain(X_13)),domain(addition(X_13,X_14))) )],[refute_0_86,refute_0_91]) ).
cnf(refute_0_93,plain,
domain(addition(X_49,X_48)) = domain(addition(X_48,X_49)),
inference(subst,[],[refute_0_92:[bind(X_13,$fot(X_48)),bind(X_14,$fot(X_49))]]) ).
cnf(refute_0_94,plain,
( domain(addition(X_49,X_48)) != domain(addition(X_48,X_49))
| multiplication(domain(addition(X_49,X_48)),antidomain(addition(X_49,X_48))) != zero
| multiplication(domain(addition(X_48,X_49)),antidomain(addition(X_49,X_48))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_49,X_48)),antidomain(addition(X_49,X_48))),zero) ),[0,0],$fot(domain(addition(X_48,X_49)))]]) ).
cnf(refute_0_95,plain,
( multiplication(domain(addition(X_49,X_48)),antidomain(addition(X_49,X_48))) != zero
| multiplication(domain(addition(X_48,X_49)),antidomain(addition(X_49,X_48))) = zero ),
inference(resolve,[$cnf( $equal(domain(addition(X_49,X_48)),domain(addition(X_48,X_49))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
multiplication(domain(addition(X_48,X_49)),antidomain(addition(X_49,X_48))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_49,X_48)),antidomain(addition(X_49,X_48))),zero) )],[refute_0_78,refute_0_95]) ).
cnf(refute_0_97,plain,
multiplication(domain(addition(X_48,addition(X_54,X_55))),antidomain(addition(addition(X_54,X_55),X_48))) = zero,
inference(subst,[],[refute_0_96:[bind(X_49,$fot(addition(X_54,X_55)))]]) ).
cnf(refute_0_98,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_99,plain,
addition(X_54,addition(X_55,X_48)) = addition(addition(X_54,X_55),X_48),
inference(subst,[],[refute_0_98:[bind(A,$fot(X_54)),bind(B,$fot(X_55)),bind(C,$fot(X_48))]]) ).
cnf(refute_0_100,plain,
( addition(X_54,addition(X_55,X_48)) != addition(addition(X_54,X_55),X_48)
| addition(addition(X_54,X_55),X_48) = addition(X_54,addition(X_55,X_48)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_54,addition(X_55,X_48)))),bind(Y,$fot(addition(addition(X_54,X_55),X_48)))]]) ).
cnf(refute_0_101,plain,
addition(addition(X_54,X_55),X_48) = addition(X_54,addition(X_55,X_48)),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_55,X_48)),addition(addition(X_54,X_55),X_48)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( addition(addition(X_54,X_55),X_48) != addition(X_54,addition(X_55,X_48))
| multiplication(domain(addition(X_48,addition(X_54,X_55))),antidomain(addition(addition(X_54,X_55),X_48))) != zero
| multiplication(domain(addition(X_48,addition(X_54,X_55))),antidomain(addition(X_54,addition(X_55,X_48)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_48,addition(X_54,X_55))),antidomain(addition(addition(X_54,X_55),X_48))),zero) ),[0,1,0],$fot(addition(X_54,addition(X_55,X_48)))]]) ).
cnf(refute_0_103,plain,
( multiplication(domain(addition(X_48,addition(X_54,X_55))),antidomain(addition(addition(X_54,X_55),X_48))) != zero
| multiplication(domain(addition(X_48,addition(X_54,X_55))),antidomain(addition(X_54,addition(X_55,X_48)))) = zero ),
inference(resolve,[$cnf( $equal(addition(addition(X_54,X_55),X_48),addition(X_54,addition(X_55,X_48))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiplication(domain(addition(X_48,addition(X_54,X_55))),antidomain(addition(X_54,addition(X_55,X_48)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_48,addition(X_54,X_55))),antidomain(addition(addition(X_54,X_55),X_48))),zero) )],[refute_0_97,refute_0_103]) ).
cnf(refute_0_105,plain,
multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,addition(X_513,X_513)))) = zero,
inference(subst,[],[refute_0_104:[bind(X_48,$fot(X_513)),bind(X_54,$fot(X_514)),bind(X_55,$fot(X_513))]]) ).
cnf(refute_0_106,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_107,plain,
addition(X_513,X_513) = X_513,
inference(subst,[],[refute_0_106:[bind(A,$fot(X_513))]]) ).
cnf(refute_0_108,plain,
( addition(X_513,X_513) != X_513
| multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,addition(X_513,X_513)))) != zero
| multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,addition(X_513,X_513)))),zero) ),[0,1,0,1],$fot(X_513)]]) ).
cnf(refute_0_109,plain,
( multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,addition(X_513,X_513)))) != zero
| multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))) = zero ),
inference(resolve,[$cnf( $equal(addition(X_513,X_513),X_513) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,addition(X_513,X_513)))),zero) )],[refute_0_105,refute_0_109]) ).
cnf(refute_0_111,plain,
multiplication(addition(X_138,domain(X1)),antidomain(X1)) = addition(multiplication(X_138,antidomain(X1)),multiplication(domain(X1),antidomain(X1))),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_138)),bind(B,$fot(domain(X1))),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_112,plain,
( multiplication(addition(X_138,domain(X1)),antidomain(X1)) != addition(multiplication(X_138,antidomain(X1)),multiplication(domain(X1),antidomain(X1)))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(addition(X_138,domain(X1)),antidomain(X1)) = addition(multiplication(X_138,antidomain(X1)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),antidomain(X1)),addition(multiplication(X_138,antidomain(X1)),multiplication(domain(X1),antidomain(X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_113,plain,
( multiplication(addition(X_138,domain(X1)),antidomain(X1)) != addition(multiplication(X_138,antidomain(X1)),multiplication(domain(X1),antidomain(X1)))
| multiplication(addition(X_138,domain(X1)),antidomain(X1)) = addition(multiplication(X_138,antidomain(X1)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_77,refute_0_112]) ).
cnf(refute_0_114,plain,
multiplication(addition(X_138,domain(X1)),antidomain(X1)) = addition(multiplication(X_138,antidomain(X1)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),antidomain(X1)),addition(multiplication(X_138,antidomain(X1)),multiplication(domain(X1),antidomain(X1)))) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_116,plain,
addition(multiplication(X_138,antidomain(X1)),zero) = multiplication(X_138,antidomain(X1)),
inference(subst,[],[refute_0_115:[bind(A,$fot(multiplication(X_138,antidomain(X1))))]]) ).
cnf(refute_0_117,plain,
( addition(multiplication(X_138,antidomain(X1)),zero) != multiplication(X_138,antidomain(X1))
| multiplication(addition(X_138,domain(X1)),antidomain(X1)) != addition(multiplication(X_138,antidomain(X1)),zero)
| multiplication(addition(X_138,domain(X1)),antidomain(X1)) = multiplication(X_138,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),antidomain(X1)),addition(multiplication(X_138,antidomain(X1)),zero)) ),[1],$fot(multiplication(X_138,antidomain(X1)))]]) ).
cnf(refute_0_118,plain,
( multiplication(addition(X_138,domain(X1)),antidomain(X1)) != addition(multiplication(X_138,antidomain(X1)),zero)
| multiplication(addition(X_138,domain(X1)),antidomain(X1)) = multiplication(X_138,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_138,antidomain(X1)),zero),multiplication(X_138,antidomain(X1))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiplication(addition(X_138,domain(X1)),antidomain(X1)) = multiplication(X_138,antidomain(X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),antidomain(X1)),addition(multiplication(X_138,antidomain(X1)),zero)) )],[refute_0_114,refute_0_118]) ).
cnf(refute_0_120,plain,
multiplication(addition(domain(X0),domain(X_403)),antidomain(X_403)) = multiplication(domain(X0),antidomain(X_403)),
inference(subst,[],[refute_0_119:[bind(X1,$fot(X_403)),bind(X_138,$fot(domain(X0)))]]) ).
cnf(refute_0_121,plain,
domain(addition(X0,X_403)) = addition(domain(X0),domain(X_403)),
inference(subst,[],[refute_0_80:[bind(X1,$fot(X_403))]]) ).
cnf(refute_0_122,plain,
( domain(addition(X0,X_403)) != addition(domain(X0),domain(X_403))
| addition(domain(X0),domain(X_403)) = domain(addition(X0,X_403)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(addition(X0,X_403)))),bind(Y,$fot(addition(domain(X0),domain(X_403))))]]) ).
cnf(refute_0_123,plain,
addition(domain(X0),domain(X_403)) = domain(addition(X0,X_403)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X_403)),addition(domain(X0),domain(X_403))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( addition(domain(X0),domain(X_403)) != domain(addition(X0,X_403))
| multiplication(addition(domain(X0),domain(X_403)),antidomain(X_403)) != multiplication(domain(X0),antidomain(X_403))
| multiplication(domain(addition(X0,X_403)),antidomain(X_403)) = multiplication(domain(X0),antidomain(X_403)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),domain(X_403)),antidomain(X_403)),multiplication(domain(X0),antidomain(X_403))) ),[0,0],$fot(domain(addition(X0,X_403)))]]) ).
cnf(refute_0_125,plain,
( multiplication(addition(domain(X0),domain(X_403)),antidomain(X_403)) != multiplication(domain(X0),antidomain(X_403))
| multiplication(domain(addition(X0,X_403)),antidomain(X_403)) = multiplication(domain(X0),antidomain(X_403)) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X_403)),domain(addition(X0,X_403))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
multiplication(domain(addition(X0,X_403)),antidomain(X_403)) = multiplication(domain(X0),antidomain(X_403)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),domain(X_403)),antidomain(X_403)),multiplication(domain(X0),antidomain(X_403))) )],[refute_0_120,refute_0_125]) ).
cnf(refute_0_127,plain,
multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))) = multiplication(domain(X_513),antidomain(addition(X_514,X_513))),
inference(subst,[],[refute_0_126:[bind(X0,$fot(X_513)),bind(X_403,$fot(addition(X_514,X_513)))]]) ).
cnf(refute_0_128,plain,
( multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))) != multiplication(domain(X_513),antidomain(addition(X_514,X_513)))
| multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))) != zero
| multiplication(domain(X_513),antidomain(addition(X_514,X_513))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))),zero) ),[0],$fot(multiplication(domain(X_513),antidomain(addition(X_514,X_513))))]]) ).
cnf(refute_0_129,plain,
( multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))) != zero
| multiplication(domain(X_513),antidomain(addition(X_514,X_513))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))),multiplication(domain(X_513),antidomain(addition(X_514,X_513)))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiplication(domain(X_513),antidomain(addition(X_514,X_513))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_513,addition(X_514,X_513))),antidomain(addition(X_514,X_513))),zero) )],[refute_0_110,refute_0_129]) ).
cnf(refute_0_131,plain,
multiplication(domain(domain(X1)),antidomain(addition(domain(X0),domain(X1)))) = zero,
inference(subst,[],[refute_0_130:[bind(X_513,$fot(domain(X1))),bind(X_514,$fot(domain(X0)))]]) ).
cnf(refute_0_132,plain,
( addition(domain(X0),domain(X1)) != domain(addition(X0,X1))
| multiplication(domain(domain(X1)),antidomain(addition(domain(X0),domain(X1)))) != zero
| multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(addition(domain(X0),domain(X1)))),zero) ),[0,1,0],$fot(domain(addition(X0,X1)))]]) ).
cnf(refute_0_133,plain,
( multiplication(domain(domain(X1)),antidomain(addition(domain(X0),domain(X1)))) != zero
| multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) = zero ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X1)),domain(addition(X0,X1))) )],[refute_0_88,refute_0_132]) ).
cnf(refute_0_134,plain,
multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(addition(domain(X0),domain(X1)))),zero) )],[refute_0_131,refute_0_133]) ).
cnf(refute_0_135,plain,
domain(multiplication(one,X_32)) = domain(multiplication(one,domain(X_32))),
inference(subst,[],[refute_0_75:[bind(X0,$fot(one)),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_136,plain,
multiplication(one,domain(X_32)) = domain(X_32),
inference(subst,[],[refute_0_6:[bind(A,$fot(domain(X_32)))]]) ).
cnf(refute_0_137,plain,
( domain(multiplication(one,X_32)) != domain(multiplication(one,domain(X_32)))
| multiplication(one,domain(X_32)) != domain(X_32)
| domain(multiplication(one,X_32)) = domain(domain(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_32)),domain(multiplication(one,domain(X_32)))) ),[1,0],$fot(domain(X_32))]]) ).
cnf(refute_0_138,plain,
( domain(multiplication(one,X_32)) != domain(multiplication(one,domain(X_32)))
| domain(multiplication(one,X_32)) = domain(domain(X_32)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_32)),domain(X_32)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
domain(multiplication(one,X_32)) = domain(domain(X_32)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_32)),domain(multiplication(one,domain(X_32)))) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
multiplication(one,X_32) = X_32,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_32))]]) ).
cnf(refute_0_141,plain,
domain(multiplication(one,X_32)) = domain(multiplication(one,X_32)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_32)))]]) ).
cnf(refute_0_142,plain,
( domain(multiplication(one,X_32)) != domain(multiplication(one,X_32))
| multiplication(one,X_32) != X_32
| domain(multiplication(one,X_32)) = domain(X_32) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_32)),domain(multiplication(one,X_32))) ),[1,0],$fot(X_32)]]) ).
cnf(refute_0_143,plain,
( multiplication(one,X_32) != X_32
| domain(multiplication(one,X_32)) = domain(X_32) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_32)),domain(multiplication(one,X_32))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
domain(multiplication(one,X_32)) = domain(X_32),
inference(resolve,[$cnf( $equal(multiplication(one,X_32),X_32) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
( domain(multiplication(one,X_32)) != domain(X_32)
| domain(multiplication(one,X_32)) != domain(domain(X_32))
| domain(X_32) = domain(domain(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_32)),domain(domain(X_32))) ),[0],$fot(domain(X_32))]]) ).
cnf(refute_0_146,plain,
( domain(multiplication(one,X_32)) != domain(domain(X_32))
| domain(X_32) = domain(domain(X_32)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_32)),domain(X_32)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
domain(X_32) = domain(domain(X_32)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_32)),domain(domain(X_32))) )],[refute_0_139,refute_0_146]) ).
cnf(refute_0_148,plain,
( domain(X_32) != domain(domain(X_32))
| domain(domain(X_32)) = domain(X_32) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(X_32))),bind(Y,$fot(domain(domain(X_32))))]]) ).
cnf(refute_0_149,plain,
domain(domain(X_32)) = domain(X_32),
inference(resolve,[$cnf( $equal(domain(X_32),domain(domain(X_32))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
domain(domain(X1)) = domain(X1),
inference(subst,[],[refute_0_149:[bind(X_32,$fot(X1))]]) ).
cnf(refute_0_151,plain,
multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) = multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))))]]) ).
cnf(refute_0_152,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) != multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1))))
| multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) = multiplication(domain(X1),antidomain(domain(addition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))),multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1))))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_153,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) = multiplication(domain(X1),antidomain(domain(addition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))),multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1))))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) = multiplication(domain(X1),antidomain(domain(addition(X0,X1)))),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
( multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) != multiplication(domain(X1),antidomain(domain(addition(X0,X1))))
| multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) != zero
| multiplication(domain(X1),antidomain(domain(addition(X0,X1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))),zero) ),[0],$fot(multiplication(domain(X1),antidomain(domain(addition(X0,X1)))))]]) ).
cnf(refute_0_156,plain,
( multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))) != zero
| multiplication(domain(X1),antidomain(domain(addition(X0,X1)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))),multiplication(domain(X1),antidomain(domain(addition(X0,X1))))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiplication(domain(X1),antidomain(domain(addition(X0,X1)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(domain(addition(X0,X1)))),zero) )],[refute_0_134,refute_0_156]) ).
cnf(refute_0_158,plain,
multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(addition(X_524,multiplication(X_524,X_268))))) = zero,
inference(subst,[],[refute_0_157:[bind(X0,$fot(X_524)),bind(X1,$fot(multiplication(X_524,X_268)))]]) ).
cnf(refute_0_159,plain,
multiplication(X_267,addition(X_268,one)) = addition(multiplication(X_267,X_268),multiplication(X_267,one)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_267)),bind(B,$fot(X_268)),bind(C,$fot(one))]]) ).
cnf(refute_0_160,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_161,plain,
multiplication(X_267,one) = X_267,
inference(subst,[],[refute_0_160:[bind(A,$fot(X_267))]]) ).
cnf(refute_0_162,plain,
( multiplication(X_267,addition(X_268,one)) != addition(multiplication(X_267,X_268),multiplication(X_267,one))
| multiplication(X_267,one) != X_267
| multiplication(X_267,addition(X_268,one)) = addition(multiplication(X_267,X_268),X_267) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_267,addition(X_268,one)),addition(multiplication(X_267,X_268),multiplication(X_267,one))) ),[1,1],$fot(X_267)]]) ).
cnf(refute_0_163,plain,
( multiplication(X_267,addition(X_268,one)) != addition(multiplication(X_267,X_268),multiplication(X_267,one))
| multiplication(X_267,addition(X_268,one)) = addition(multiplication(X_267,X_268),X_267) ),
inference(resolve,[$cnf( $equal(multiplication(X_267,one),X_267) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
multiplication(X_267,addition(X_268,one)) = addition(multiplication(X_267,X_268),X_267),
inference(resolve,[$cnf( $equal(multiplication(X_267,addition(X_268,one)),addition(multiplication(X_267,X_268),multiplication(X_267,one))) )],[refute_0_159,refute_0_163]) ).
cnf(refute_0_165,plain,
addition(multiplication(X_267,X_268),X_267) = addition(X_267,multiplication(X_267,X_268)),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_267)),bind(B,$fot(multiplication(X_267,X_268)))]]) ).
cnf(refute_0_166,plain,
( addition(multiplication(X_267,X_268),X_267) != addition(X_267,multiplication(X_267,X_268))
| multiplication(X_267,addition(X_268,one)) != addition(multiplication(X_267,X_268),X_267)
| multiplication(X_267,addition(X_268,one)) = addition(X_267,multiplication(X_267,X_268)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_267,addition(X_268,one)),addition(multiplication(X_267,X_268),X_267)) ),[1],$fot(addition(X_267,multiplication(X_267,X_268)))]]) ).
cnf(refute_0_167,plain,
( multiplication(X_267,addition(X_268,one)) != addition(multiplication(X_267,X_268),X_267)
| multiplication(X_267,addition(X_268,one)) = addition(X_267,multiplication(X_267,X_268)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_268),X_267),addition(X_267,multiplication(X_267,X_268))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
multiplication(X_267,addition(X_268,one)) = addition(X_267,multiplication(X_267,X_268)),
inference(resolve,[$cnf( $equal(multiplication(X_267,addition(X_268,one)),addition(multiplication(X_267,X_268),X_267)) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
multiplication(X_524,addition(X_268,one)) = addition(X_524,multiplication(X_524,X_268)),
inference(subst,[],[refute_0_168:[bind(X_267,$fot(X_524))]]) ).
cnf(refute_0_170,plain,
( multiplication(X_524,addition(X_268,one)) != addition(X_524,multiplication(X_524,X_268))
| addition(X_524,multiplication(X_524,X_268)) = multiplication(X_524,addition(X_268,one)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(X_524,addition(X_268,one)))),bind(Y,$fot(addition(X_524,multiplication(X_524,X_268))))]]) ).
cnf(refute_0_171,plain,
addition(X_524,multiplication(X_524,X_268)) = multiplication(X_524,addition(X_268,one)),
inference(resolve,[$cnf( $equal(multiplication(X_524,addition(X_268,one)),addition(X_524,multiplication(X_524,X_268))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( addition(X_524,multiplication(X_524,X_268)) != multiplication(X_524,addition(X_268,one))
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(addition(X_524,multiplication(X_524,X_268))))) != zero
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(addition(X_524,multiplication(X_524,X_268))))),zero) ),[0,1,0,0],$fot(multiplication(X_524,addition(X_268,one)))]]) ).
cnf(refute_0_173,plain,
( multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(addition(X_524,multiplication(X_524,X_268))))) != zero
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) = zero ),
inference(resolve,[$cnf( $equal(addition(X_524,multiplication(X_524,X_268)),multiplication(X_524,addition(X_268,one))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(addition(X_524,multiplication(X_524,X_268))))),zero) )],[refute_0_158,refute_0_173]) ).
cnf(refute_0_175,plain,
domain(multiplication(X_31,addition(X_13,one))) = domain(multiplication(X_31,domain(addition(X_13,one)))),
inference(subst,[],[refute_0_75:[bind(X0,$fot(X_31)),bind(X1,$fot(addition(X_13,one)))]]) ).
cnf(refute_0_176,plain,
domain(addition(X_13,one)) = addition(domain(X_13),domain(one)),
inference(subst,[],[refute_0_80:[bind(X0,$fot(X_13)),bind(X1,$fot(one))]]) ).
cnf(refute_0_177,plain,
addition(one,multiplication(domain(one),one)) = multiplication(domain(one),one),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one))]]) ).
cnf(refute_0_178,plain,
multiplication(domain(one),one) = domain(one),
inference(subst,[],[refute_0_160:[bind(A,$fot(domain(one)))]]) ).
cnf(refute_0_179,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| multiplication(domain(one),one) != domain(one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) ),[0,1],$fot(domain(one))]]) ).
cnf(refute_0_180,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(resolve,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
addition(one,domain(one)) = one,
inference(subst,[],[refute_0_32:[bind(X0,$fot(one))]]) ).
cnf(refute_0_183,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_184,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),one) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( multiplication(domain(one),one) != domain(one)
| one != multiplication(domain(one),one)
| one = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(one,multiplication(domain(one),one)) ),[1],$fot(domain(one))]]) ).
cnf(refute_0_186,plain,
( one != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_178,refute_0_185]) ).
cnf(refute_0_187,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(one,multiplication(domain(one),one)) )],[refute_0_184,refute_0_186]) ).
cnf(refute_0_188,plain,
one = domain(one),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) )],[refute_0_181,refute_0_187]) ).
cnf(refute_0_189,plain,
( one != domain(one)
| domain(one) = one ),
inference(subst,[],[refute_0_14:[bind(X,$fot(one)),bind(Y,$fot(domain(one)))]]) ).
cnf(refute_0_190,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(one,domain(one)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
( domain(addition(X_13,one)) != addition(domain(X_13),domain(one))
| domain(one) != one
| domain(addition(X_13,one)) = addition(domain(X_13),one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X_13,one)),addition(domain(X_13),domain(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_192,plain,
( domain(addition(X_13,one)) != addition(domain(X_13),domain(one))
| domain(addition(X_13,one)) = addition(domain(X_13),one) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
domain(addition(X_13,one)) = addition(domain(X_13),one),
inference(resolve,[$cnf( $equal(domain(addition(X_13,one)),addition(domain(X_13),domain(one))) )],[refute_0_176,refute_0_192]) ).
cnf(refute_0_194,plain,
addition(one,domain(X_13)) = one,
inference(subst,[],[refute_0_32:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_195,plain,
addition(domain(X_13),one) = addition(one,domain(X_13)),
inference(subst,[],[refute_0_16:[bind(A,$fot(one)),bind(B,$fot(domain(X_13)))]]) ).
cnf(refute_0_196,plain,
( addition(domain(X_13),one) != addition(one,domain(X_13))
| addition(one,domain(X_13)) != one
| addition(domain(X_13),one) = one ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(domain(X_13),one))),bind(Y,$fot(addition(one,domain(X_13)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_197,plain,
( addition(one,domain(X_13)) != one
| addition(domain(X_13),one) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_13),one),addition(one,domain(X_13))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
addition(domain(X_13),one) = one,
inference(resolve,[$cnf( $equal(addition(one,domain(X_13)),one) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
( addition(domain(X_13),one) != one
| domain(addition(X_13,one)) != addition(domain(X_13),one)
| domain(addition(X_13,one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X_13,one)),addition(domain(X_13),one)) ),[1],$fot(one)]]) ).
cnf(refute_0_200,plain,
( domain(addition(X_13,one)) != addition(domain(X_13),one)
| domain(addition(X_13,one)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_13),one),one) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
domain(addition(X_13,one)) = one,
inference(resolve,[$cnf( $equal(domain(addition(X_13,one)),addition(domain(X_13),one)) )],[refute_0_193,refute_0_200]) ).
cnf(refute_0_202,plain,
( domain(addition(X_13,one)) != one
| domain(multiplication(X_31,addition(X_13,one))) != domain(multiplication(X_31,domain(addition(X_13,one))))
| domain(multiplication(X_31,addition(X_13,one))) = domain(multiplication(X_31,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_31,addition(X_13,one))),domain(multiplication(X_31,domain(addition(X_13,one))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_203,plain,
( domain(multiplication(X_31,addition(X_13,one))) != domain(multiplication(X_31,domain(addition(X_13,one))))
| domain(multiplication(X_31,addition(X_13,one))) = domain(multiplication(X_31,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_13,one)),one) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
domain(multiplication(X_31,addition(X_13,one))) = domain(multiplication(X_31,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_31,addition(X_13,one))),domain(multiplication(X_31,domain(addition(X_13,one))))) )],[refute_0_175,refute_0_203]) ).
cnf(refute_0_205,plain,
multiplication(X_31,one) = X_31,
inference(subst,[],[refute_0_160:[bind(A,$fot(X_31))]]) ).
cnf(refute_0_206,plain,
domain(multiplication(X_31,one)) = domain(multiplication(X_31,one)),
introduced(tautology,[refl,[$fot(domain(multiplication(X_31,one)))]]) ).
cnf(refute_0_207,plain,
( domain(multiplication(X_31,one)) != domain(multiplication(X_31,one))
| multiplication(X_31,one) != X_31
| domain(multiplication(X_31,one)) = domain(X_31) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_31,one)),domain(multiplication(X_31,one))) ),[1,0],$fot(X_31)]]) ).
cnf(refute_0_208,plain,
( multiplication(X_31,one) != X_31
| domain(multiplication(X_31,one)) = domain(X_31) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_31,one)),domain(multiplication(X_31,one))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
domain(multiplication(X_31,one)) = domain(X_31),
inference(resolve,[$cnf( $equal(multiplication(X_31,one),X_31) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
( domain(multiplication(X_31,addition(X_13,one))) != domain(multiplication(X_31,one))
| domain(multiplication(X_31,one)) != domain(X_31)
| domain(multiplication(X_31,addition(X_13,one))) = domain(X_31) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X_31,addition(X_13,one))),domain(X_31)) ),[0],$fot(domain(multiplication(X_31,one)))]]) ).
cnf(refute_0_211,plain,
( domain(multiplication(X_31,addition(X_13,one))) != domain(multiplication(X_31,one))
| domain(multiplication(X_31,addition(X_13,one))) = domain(X_31) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_31,one)),domain(X_31)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
domain(multiplication(X_31,addition(X_13,one))) = domain(X_31),
inference(resolve,[$cnf( $equal(domain(multiplication(X_31,addition(X_13,one))),domain(multiplication(X_31,one))) )],[refute_0_204,refute_0_211]) ).
cnf(refute_0_213,plain,
domain(multiplication(X_524,addition(X_268,one))) = domain(X_524),
inference(subst,[],[refute_0_212:[bind(X_13,$fot(X_268)),bind(X_31,$fot(X_524))]]) ).
cnf(refute_0_214,plain,
antidomain(domain(multiplication(X_524,addition(X_268,one)))) = antidomain(domain(multiplication(X_524,addition(X_268,one)))),
introduced(tautology,[refl,[$fot(antidomain(domain(multiplication(X_524,addition(X_268,one)))))]]) ).
cnf(refute_0_215,plain,
( antidomain(domain(multiplication(X_524,addition(X_268,one)))) != antidomain(domain(multiplication(X_524,addition(X_268,one))))
| domain(multiplication(X_524,addition(X_268,one))) != domain(X_524)
| antidomain(domain(multiplication(X_524,addition(X_268,one)))) = antidomain(domain(X_524)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(multiplication(X_524,addition(X_268,one)))),antidomain(domain(multiplication(X_524,addition(X_268,one))))) ),[1,0],$fot(domain(X_524))]]) ).
cnf(refute_0_216,plain,
( domain(multiplication(X_524,addition(X_268,one))) != domain(X_524)
| antidomain(domain(multiplication(X_524,addition(X_268,one)))) = antidomain(domain(X_524)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X_524,addition(X_268,one)))),antidomain(domain(multiplication(X_524,addition(X_268,one))))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
antidomain(domain(multiplication(X_524,addition(X_268,one)))) = antidomain(domain(X_524)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_524,addition(X_268,one))),domain(X_524)) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) = multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))),
introduced(tautology,[refl,[$fot(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))))]]) ).
cnf(refute_0_219,plain,
( antidomain(domain(multiplication(X_524,addition(X_268,one)))) != antidomain(domain(X_524))
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) != multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one)))))
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) = multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))),multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one)))))) ),[1,1],$fot(antidomain(domain(X_524)))]]) ).
cnf(refute_0_220,plain,
( antidomain(domain(multiplication(X_524,addition(X_268,one)))) != antidomain(domain(X_524))
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) = multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))),multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one)))))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) = multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524))),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X_524,addition(X_268,one)))),antidomain(domain(X_524))) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) != multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524)))
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) != zero
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))),zero) ),[0],$fot(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524))))]]) ).
cnf(refute_0_223,plain,
( multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))) != zero
| multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))),multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524)))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(X_524))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_524,X_268)),antidomain(domain(multiplication(X_524,addition(X_268,one))))),zero) )],[refute_0_174,refute_0_223]) ).
cnf(refute_0_225,plain,
multiplication(domain(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = zero,
inference(subst,[],[refute_0_224:[bind(X_268,$fot(antidomain(X_1031))),bind(X_524,$fot(antidomain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_226,plain,
multiplication(addition(domain(X1),X_139),antidomain(X1)) = addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_139,antidomain(X1))),
inference(subst,[],[refute_0_4:[bind(A,$fot(domain(X1))),bind(B,$fot(X_139)),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_227,plain,
( multiplication(addition(domain(X1),X_139),antidomain(X1)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_139,antidomain(X1)))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(addition(domain(X1),X_139),antidomain(X1)) = addition(zero,multiplication(X_139,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X1),X_139),antidomain(X1)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_139,antidomain(X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_228,plain,
( multiplication(addition(domain(X1),X_139),antidomain(X1)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_139,antidomain(X1)))
| multiplication(addition(domain(X1),X_139),antidomain(X1)) = addition(zero,multiplication(X_139,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_77,refute_0_227]) ).
cnf(refute_0_229,plain,
multiplication(addition(domain(X1),X_139),antidomain(X1)) = addition(zero,multiplication(X_139,antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X1),X_139),antidomain(X1)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_139,antidomain(X1)))) )],[refute_0_226,refute_0_228]) ).
cnf(refute_0_230,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_11:[bind(B,$fot(zero))]]) ).
cnf(refute_0_231,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_232,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_115,refute_0_232]) ).
cnf(refute_0_234,plain,
addition(zero,multiplication(X_139,antidomain(X1))) = multiplication(X_139,antidomain(X1)),
inference(subst,[],[refute_0_233:[bind(A,$fot(multiplication(X_139,antidomain(X1))))]]) ).
cnf(refute_0_235,plain,
( addition(zero,multiplication(X_139,antidomain(X1))) != multiplication(X_139,antidomain(X1))
| multiplication(addition(domain(X1),X_139),antidomain(X1)) != addition(zero,multiplication(X_139,antidomain(X1)))
| multiplication(addition(domain(X1),X_139),antidomain(X1)) = multiplication(X_139,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X1),X_139),antidomain(X1)),addition(zero,multiplication(X_139,antidomain(X1)))) ),[1],$fot(multiplication(X_139,antidomain(X1)))]]) ).
cnf(refute_0_236,plain,
( multiplication(addition(domain(X1),X_139),antidomain(X1)) != addition(zero,multiplication(X_139,antidomain(X1)))
| multiplication(addition(domain(X1),X_139),antidomain(X1)) = multiplication(X_139,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_139,antidomain(X1))),multiplication(X_139,antidomain(X1))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiplication(addition(domain(X1),X_139),antidomain(X1)) = multiplication(X_139,antidomain(X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X1),X_139),antidomain(X1)),addition(zero,multiplication(X_139,antidomain(X1)))) )],[refute_0_229,refute_0_236]) ).
cnf(refute_0_238,plain,
multiplication(addition(domain(X_966),antidomain(multiplication(X_966,X_469))),antidomain(X_966)) = multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966)),
inference(subst,[],[refute_0_237:[bind(X1,$fot(X_966)),bind(X_139,$fot(antidomain(multiplication(X_966,X_469))))]]) ).
cnf(refute_0_239,plain,
addition(antidomain(X1),addition(domain(X1),X_56)) = addition(addition(antidomain(X1),domain(X1)),X_56),
inference(subst,[],[refute_0_98:[bind(A,$fot(antidomain(X1))),bind(B,$fot(domain(X1))),bind(C,$fot(X_56))]]) ).
cnf(refute_0_240,plain,
addition(domain(X1),antidomain(X1)) = one,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_241,plain,
addition(domain(X1),antidomain(X1)) = addition(antidomain(X1),domain(X1)),
inference(subst,[],[refute_0_16:[bind(A,$fot(antidomain(X1))),bind(B,$fot(domain(X1)))]]) ).
cnf(refute_0_242,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_243,plain,
( addition(domain(X1),antidomain(X1)) != one
| addition(antidomain(X1),domain(X1)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X1),antidomain(X1)),addition(antidomain(X1),domain(X1))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
addition(antidomain(X1),domain(X1)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X1),antidomain(X1)),one) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( addition(antidomain(X1),addition(domain(X1),X_56)) != addition(addition(antidomain(X1),domain(X1)),X_56)
| addition(antidomain(X1),domain(X1)) != one
| addition(antidomain(X1),addition(domain(X1),X_56)) = addition(one,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X1),addition(domain(X1),X_56)),addition(addition(antidomain(X1),domain(X1)),X_56)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_246,plain,
( addition(antidomain(X1),addition(domain(X1),X_56)) != addition(addition(antidomain(X1),domain(X1)),X_56)
| addition(antidomain(X1),addition(domain(X1),X_56)) = addition(one,X_56) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
addition(antidomain(X1),addition(domain(X1),X_56)) = addition(one,X_56),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),addition(domain(X1),X_56)),addition(addition(antidomain(X1),domain(X1)),X_56)) )],[refute_0_239,refute_0_246]) ).
cnf(refute_0_248,plain,
addition(antidomain(X_64),addition(domain(X_64),domain(X1))) = addition(one,domain(X1)),
inference(subst,[],[refute_0_247:[bind(X1,$fot(X_64)),bind(X_56,$fot(domain(X1)))]]) ).
cnf(refute_0_249,plain,
domain(addition(X_64,X1)) = addition(domain(X_64),domain(X1)),
inference(subst,[],[refute_0_80:[bind(X0,$fot(X_64))]]) ).
cnf(refute_0_250,plain,
( domain(addition(X_64,X1)) != addition(domain(X_64),domain(X1))
| addition(domain(X_64),domain(X1)) = domain(addition(X_64,X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(addition(X_64,X1)))),bind(Y,$fot(addition(domain(X_64),domain(X1))))]]) ).
cnf(refute_0_251,plain,
addition(domain(X_64),domain(X1)) = domain(addition(X_64,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_64,X1)),addition(domain(X_64),domain(X1))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
( addition(antidomain(X_64),addition(domain(X_64),domain(X1))) != addition(one,domain(X1))
| addition(domain(X_64),domain(X1)) != domain(addition(X_64,X1))
| addition(antidomain(X_64),domain(addition(X_64,X1))) = addition(one,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_64),addition(domain(X_64),domain(X1))),addition(one,domain(X1))) ),[0,1],$fot(domain(addition(X_64,X1)))]]) ).
cnf(refute_0_253,plain,
( addition(antidomain(X_64),addition(domain(X_64),domain(X1))) != addition(one,domain(X1))
| addition(antidomain(X_64),domain(addition(X_64,X1))) = addition(one,domain(X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_64),domain(X1)),domain(addition(X_64,X1))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
addition(antidomain(X_64),domain(addition(X_64,X1))) = addition(one,domain(X1)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_64),addition(domain(X_64),domain(X1))),addition(one,domain(X1))) )],[refute_0_248,refute_0_253]) ).
cnf(refute_0_255,plain,
addition(one,domain(X1)) = one,
inference(subst,[],[refute_0_32:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_256,plain,
( addition(antidomain(X_64),domain(addition(X_64,X1))) != addition(one,domain(X1))
| addition(one,domain(X1)) != one
| addition(antidomain(X_64),domain(addition(X_64,X1))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_64),domain(addition(X_64,X1))),one) ),[0],$fot(addition(one,domain(X1)))]]) ).
cnf(refute_0_257,plain,
( addition(antidomain(X_64),domain(addition(X_64,X1))) != addition(one,domain(X1))
| addition(antidomain(X_64),domain(addition(X_64,X1))) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X1)),one) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
addition(antidomain(X_64),domain(addition(X_64,X1))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_64),domain(addition(X_64,X1))),addition(one,domain(X1))) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
addition(antidomain(X_76),domain(addition(X_76,X_75))) = one,
inference(subst,[],[refute_0_258:[bind(X1,$fot(X_75)),bind(X_64,$fot(X_76))]]) ).
cnf(refute_0_260,plain,
addition(X_75,X_76) = addition(X_76,X_75),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_75)),bind(B,$fot(X_76))]]) ).
cnf(refute_0_261,plain,
( addition(X_75,X_76) != addition(X_76,X_75)
| addition(X_76,X_75) = addition(X_75,X_76) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_75,X_76))),bind(Y,$fot(addition(X_76,X_75)))]]) ).
cnf(refute_0_262,plain,
addition(X_76,X_75) = addition(X_75,X_76),
inference(resolve,[$cnf( $equal(addition(X_75,X_76),addition(X_76,X_75)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
( addition(X_76,X_75) != addition(X_75,X_76)
| addition(antidomain(X_76),domain(addition(X_76,X_75))) != one
| addition(antidomain(X_76),domain(addition(X_75,X_76))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_76),domain(addition(X_76,X_75))),one) ),[0,1,0],$fot(addition(X_75,X_76))]]) ).
cnf(refute_0_264,plain,
( addition(antidomain(X_76),domain(addition(X_76,X_75))) != one
| addition(antidomain(X_76),domain(addition(X_75,X_76))) = one ),
inference(resolve,[$cnf( $equal(addition(X_76,X_75),addition(X_75,X_76)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
addition(antidomain(X_76),domain(addition(X_75,X_76))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_76),domain(addition(X_76,X_75))),one) )],[refute_0_259,refute_0_264]) ).
cnf(refute_0_266,plain,
addition(antidomain(multiplication(X_267,X_269)),domain(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)))) = one,
inference(subst,[],[refute_0_265:[bind(X_75,$fot(multiplication(X_267,X_268))),bind(X_76,$fot(multiplication(X_267,X_269)))]]) ).
cnf(refute_0_267,plain,
multiplication(X_267,addition(X_268,X_269)) = addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_267)),bind(B,$fot(X_268)),bind(C,$fot(X_269))]]) ).
cnf(refute_0_268,plain,
( multiplication(X_267,addition(X_268,X_269)) != addition(multiplication(X_267,X_268),multiplication(X_267,X_269))
| addition(multiplication(X_267,X_268),multiplication(X_267,X_269)) = multiplication(X_267,addition(X_268,X_269)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(X_267,addition(X_268,X_269)))),bind(Y,$fot(addition(multiplication(X_267,X_268),multiplication(X_267,X_269))))]]) ).
cnf(refute_0_269,plain,
addition(multiplication(X_267,X_268),multiplication(X_267,X_269)) = multiplication(X_267,addition(X_268,X_269)),
inference(resolve,[$cnf( $equal(multiplication(X_267,addition(X_268,X_269)),addition(multiplication(X_267,X_268),multiplication(X_267,X_269))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
( addition(antidomain(multiplication(X_267,X_269)),domain(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)))) != one
| addition(multiplication(X_267,X_268),multiplication(X_267,X_269)) != multiplication(X_267,addition(X_268,X_269))
| addition(antidomain(multiplication(X_267,X_269)),domain(multiplication(X_267,addition(X_268,X_269)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_267,X_269)),domain(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)))),one) ),[0,1,0],$fot(multiplication(X_267,addition(X_268,X_269)))]]) ).
cnf(refute_0_271,plain,
( addition(antidomain(multiplication(X_267,X_269)),domain(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)))) != one
| addition(antidomain(multiplication(X_267,X_269)),domain(multiplication(X_267,addition(X_268,X_269)))) = one ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),multiplication(X_267,addition(X_268,X_269))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
addition(antidomain(multiplication(X_267,X_269)),domain(multiplication(X_267,addition(X_268,X_269)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_267,X_269)),domain(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)))),one) )],[refute_0_266,refute_0_271]) ).
cnf(refute_0_273,plain,
addition(antidomain(multiplication(X_467,X_469)),domain(multiplication(X_467,addition(one,X_469)))) = one,
inference(subst,[],[refute_0_272:[bind(X_267,$fot(X_467)),bind(X_268,$fot(one)),bind(X_269,$fot(X_469))]]) ).
cnf(refute_0_274,plain,
domain(multiplication(X_31,addition(one,X_14))) = domain(multiplication(X_31,domain(addition(one,X_14)))),
inference(subst,[],[refute_0_75:[bind(X0,$fot(X_31)),bind(X1,$fot(addition(one,X_14)))]]) ).
cnf(refute_0_275,plain,
domain(addition(one,X_14)) = addition(domain(one),domain(X_14)),
inference(subst,[],[refute_0_80:[bind(X0,$fot(one)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_276,plain,
( domain(addition(one,X_14)) != addition(domain(one),domain(X_14))
| domain(one) != one
| domain(addition(one,X_14)) = addition(one,domain(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_14)),addition(domain(one),domain(X_14))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_277,plain,
( domain(addition(one,X_14)) != addition(domain(one),domain(X_14))
| domain(addition(one,X_14)) = addition(one,domain(X_14)) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_190,refute_0_276]) ).
cnf(refute_0_278,plain,
domain(addition(one,X_14)) = addition(one,domain(X_14)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_14)),addition(domain(one),domain(X_14))) )],[refute_0_275,refute_0_277]) ).
cnf(refute_0_279,plain,
addition(one,domain(X_14)) = one,
inference(subst,[],[refute_0_32:[bind(X0,$fot(X_14))]]) ).
cnf(refute_0_280,plain,
( addition(one,domain(X_14)) != one
| domain(addition(one,X_14)) != addition(one,domain(X_14))
| domain(addition(one,X_14)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_14)),addition(one,domain(X_14))) ),[1],$fot(one)]]) ).
cnf(refute_0_281,plain,
( domain(addition(one,X_14)) != addition(one,domain(X_14))
| domain(addition(one,X_14)) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_14)),one) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
domain(addition(one,X_14)) = one,
inference(resolve,[$cnf( $equal(domain(addition(one,X_14)),addition(one,domain(X_14))) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( domain(addition(one,X_14)) != one
| domain(multiplication(X_31,addition(one,X_14))) != domain(multiplication(X_31,domain(addition(one,X_14))))
| domain(multiplication(X_31,addition(one,X_14))) = domain(multiplication(X_31,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_31,addition(one,X_14))),domain(multiplication(X_31,domain(addition(one,X_14))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_284,plain,
( domain(multiplication(X_31,addition(one,X_14))) != domain(multiplication(X_31,domain(addition(one,X_14))))
| domain(multiplication(X_31,addition(one,X_14))) = domain(multiplication(X_31,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X_14)),one) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
domain(multiplication(X_31,addition(one,X_14))) = domain(multiplication(X_31,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_31,addition(one,X_14))),domain(multiplication(X_31,domain(addition(one,X_14))))) )],[refute_0_274,refute_0_284]) ).
cnf(refute_0_286,plain,
( domain(multiplication(X_31,addition(one,X_14))) != domain(multiplication(X_31,one))
| domain(multiplication(X_31,one)) != domain(X_31)
| domain(multiplication(X_31,addition(one,X_14))) = domain(X_31) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X_31,addition(one,X_14))),domain(X_31)) ),[0],$fot(domain(multiplication(X_31,one)))]]) ).
cnf(refute_0_287,plain,
( domain(multiplication(X_31,addition(one,X_14))) != domain(multiplication(X_31,one))
| domain(multiplication(X_31,addition(one,X_14))) = domain(X_31) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_31,one)),domain(X_31)) )],[refute_0_209,refute_0_286]) ).
cnf(refute_0_288,plain,
domain(multiplication(X_31,addition(one,X_14))) = domain(X_31),
inference(resolve,[$cnf( $equal(domain(multiplication(X_31,addition(one,X_14))),domain(multiplication(X_31,one))) )],[refute_0_285,refute_0_287]) ).
cnf(refute_0_289,plain,
domain(multiplication(X_467,addition(one,X_469))) = domain(X_467),
inference(subst,[],[refute_0_288:[bind(X_14,$fot(X_469)),bind(X_31,$fot(X_467))]]) ).
cnf(refute_0_290,plain,
( addition(antidomain(multiplication(X_467,X_469)),domain(multiplication(X_467,addition(one,X_469)))) != one
| domain(multiplication(X_467,addition(one,X_469))) != domain(X_467)
| addition(antidomain(multiplication(X_467,X_469)),domain(X_467)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_467,X_469)),domain(multiplication(X_467,addition(one,X_469)))),one) ),[0,1],$fot(domain(X_467))]]) ).
cnf(refute_0_291,plain,
( addition(antidomain(multiplication(X_467,X_469)),domain(multiplication(X_467,addition(one,X_469)))) != one
| addition(antidomain(multiplication(X_467,X_469)),domain(X_467)) = one ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_467,addition(one,X_469))),domain(X_467)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
addition(antidomain(multiplication(X_467,X_469)),domain(X_467)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_467,X_469)),domain(multiplication(X_467,addition(one,X_469)))),one) )],[refute_0_273,refute_0_291]) ).
cnf(refute_0_293,plain,
addition(antidomain(multiplication(X_467,X_469)),domain(X_467)) = addition(domain(X_467),antidomain(multiplication(X_467,X_469))),
inference(subst,[],[refute_0_16:[bind(A,$fot(domain(X_467))),bind(B,$fot(antidomain(multiplication(X_467,X_469))))]]) ).
cnf(refute_0_294,plain,
( addition(antidomain(multiplication(X_467,X_469)),domain(X_467)) != addition(domain(X_467),antidomain(multiplication(X_467,X_469)))
| addition(antidomain(multiplication(X_467,X_469)),domain(X_467)) != one
| addition(domain(X_467),antidomain(multiplication(X_467,X_469))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_467,X_469)),domain(X_467)),one) ),[0],$fot(addition(domain(X_467),antidomain(multiplication(X_467,X_469))))]]) ).
cnf(refute_0_295,plain,
( addition(antidomain(multiplication(X_467,X_469)),domain(X_467)) != one
| addition(domain(X_467),antidomain(multiplication(X_467,X_469))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_467,X_469)),domain(X_467)),addition(domain(X_467),antidomain(multiplication(X_467,X_469)))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
addition(domain(X_467),antidomain(multiplication(X_467,X_469))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_467,X_469)),domain(X_467)),one) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
addition(domain(X_966),antidomain(multiplication(X_966,X_469))) = one,
inference(subst,[],[refute_0_296:[bind(X_467,$fot(X_966))]]) ).
cnf(refute_0_298,plain,
( addition(domain(X_966),antidomain(multiplication(X_966,X_469))) != one
| multiplication(addition(domain(X_966),antidomain(multiplication(X_966,X_469))),antidomain(X_966)) != multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966))
| multiplication(one,antidomain(X_966)) = multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_966),antidomain(multiplication(X_966,X_469))),antidomain(X_966)),multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_299,plain,
( multiplication(addition(domain(X_966),antidomain(multiplication(X_966,X_469))),antidomain(X_966)) != multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966))
| multiplication(one,antidomain(X_966)) = multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_966),antidomain(multiplication(X_966,X_469))),one) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiplication(one,antidomain(X_966)) = multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_966),antidomain(multiplication(X_966,X_469))),antidomain(X_966)),multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966))) )],[refute_0_238,refute_0_299]) ).
cnf(refute_0_301,plain,
multiplication(one,antidomain(X_966)) = antidomain(X_966),
inference(subst,[],[refute_0_6:[bind(A,$fot(antidomain(X_966)))]]) ).
cnf(refute_0_302,plain,
( multiplication(one,antidomain(X_966)) != antidomain(X_966)
| multiplication(one,antidomain(X_966)) != multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966))
| antidomain(X_966) = multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(X_966)),multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966))) ),[0],$fot(antidomain(X_966))]]) ).
cnf(refute_0_303,plain,
( multiplication(one,antidomain(X_966)) != multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966))
| antidomain(X_966) = multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966)) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_966)),antidomain(X_966)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
antidomain(X_966) = multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_966)),multiplication(antidomain(multiplication(X_966,X_469)),antidomain(X_966))) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
antidomain(X_1031) = multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),
inference(subst,[],[refute_0_304:[bind(X_469,$fot(X_1030)),bind(X_966,$fot(X_1031))]]) ).
cnf(refute_0_306,plain,
( antidomain(X_1031) != multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))
| multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) = antidomain(X_1031) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(antidomain(X_1031))),bind(Y,$fot(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))))]]) ).
cnf(refute_0_307,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) = antidomain(X_1031),
inference(resolve,[$cnf( $equal(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) != antidomain(X_1031)
| multiplication(domain(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != zero
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),zero) ),[0,0,0],$fot(antidomain(X_1031))]]) ).
cnf(refute_0_309,plain,
( multiplication(domain(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != zero
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),antidomain(X_1031)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),zero) )],[refute_0_225,refute_0_309]) ).
cnf(refute_0_311,plain,
multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(domain(antidomain(domain(X_990))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))),
inference(subst,[],[refute_0_73:[bind(X_268,$fot(domain(antidomain(domain(X_990))))),bind(X_269,$fot(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))))]]) ).
cnf(refute_0_312,plain,
addition(antidomain(addition(X_49,X_48)),domain(addition(X_49,X_48))) = one,
inference(subst,[],[refute_0_244:[bind(X1,$fot(addition(X_49,X_48)))]]) ).
cnf(refute_0_313,plain,
( addition(antidomain(addition(X_49,X_48)),domain(addition(X_49,X_48))) != one
| domain(addition(X_49,X_48)) != domain(addition(X_48,X_49))
| addition(antidomain(addition(X_49,X_48)),domain(addition(X_48,X_49))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(X_49,X_48)),domain(addition(X_49,X_48))),one) ),[0,1],$fot(domain(addition(X_48,X_49)))]]) ).
cnf(refute_0_314,plain,
( addition(antidomain(addition(X_49,X_48)),domain(addition(X_49,X_48))) != one
| addition(antidomain(addition(X_49,X_48)),domain(addition(X_48,X_49))) = one ),
inference(resolve,[$cnf( $equal(domain(addition(X_49,X_48)),domain(addition(X_48,X_49))) )],[refute_0_93,refute_0_313]) ).
cnf(refute_0_315,plain,
addition(antidomain(addition(X_49,X_48)),domain(addition(X_48,X_49))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_49,X_48)),domain(addition(X_49,X_48))),one) )],[refute_0_312,refute_0_314]) ).
cnf(refute_0_316,plain,
addition(antidomain(addition(X_351,domain(X_33))),domain(addition(domain(X_33),X_351))) = one,
inference(subst,[],[refute_0_315:[bind(X_48,$fot(domain(X_33))),bind(X_49,$fot(X_351))]]) ).
cnf(refute_0_317,plain,
domain(addition(domain(X_33),X1)) = addition(domain(domain(X_33)),domain(X1)),
inference(subst,[],[refute_0_80:[bind(X0,$fot(domain(X_33)))]]) ).
cnf(refute_0_318,plain,
domain(X_33) = domain(domain(X_33)),
inference(subst,[],[refute_0_147:[bind(X_32,$fot(X_33))]]) ).
cnf(refute_0_319,plain,
( domain(X_33) != domain(domain(X_33))
| domain(domain(X_33)) = domain(X_33) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(X_33))),bind(Y,$fot(domain(domain(X_33))))]]) ).
cnf(refute_0_320,plain,
domain(domain(X_33)) = domain(X_33),
inference(resolve,[$cnf( $equal(domain(X_33),domain(domain(X_33))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
( domain(addition(domain(X_33),X1)) != addition(domain(domain(X_33)),domain(X1))
| domain(domain(X_33)) != domain(X_33)
| domain(addition(domain(X_33),X1)) = addition(domain(X_33),domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_33),X1)),addition(domain(domain(X_33)),domain(X1))) ),[1,0],$fot(domain(X_33))]]) ).
cnf(refute_0_322,plain,
( domain(addition(domain(X_33),X1)) != addition(domain(domain(X_33)),domain(X1))
| domain(addition(domain(X_33),X1)) = addition(domain(X_33),domain(X1)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_33)),domain(X_33)) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
domain(addition(domain(X_33),X1)) = addition(domain(X_33),domain(X1)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_33),X1)),addition(domain(domain(X_33)),domain(X1))) )],[refute_0_317,refute_0_322]) ).
cnf(refute_0_324,plain,
addition(domain(X_33),domain(X1)) = domain(addition(X_33,X1)),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_33))]]) ).
cnf(refute_0_325,plain,
( addition(domain(X_33),domain(X1)) != domain(addition(X_33,X1))
| domain(addition(domain(X_33),X1)) != addition(domain(X_33),domain(X1))
| domain(addition(domain(X_33),X1)) = domain(addition(X_33,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_33),X1)),addition(domain(X_33),domain(X1))) ),[1],$fot(domain(addition(X_33,X1)))]]) ).
cnf(refute_0_326,plain,
( domain(addition(domain(X_33),X1)) != addition(domain(X_33),domain(X1))
| domain(addition(domain(X_33),X1)) = domain(addition(X_33,X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_33),domain(X1)),domain(addition(X_33,X1))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
domain(addition(domain(X_33),X1)) = domain(addition(X_33,X1)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_33),X1)),addition(domain(X_33),domain(X1))) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
domain(addition(domain(X_33),X_351)) = domain(addition(X_33,X_351)),
inference(subst,[],[refute_0_327:[bind(X1,$fot(X_351))]]) ).
cnf(refute_0_329,plain,
( addition(antidomain(addition(X_351,domain(X_33))),domain(addition(domain(X_33),X_351))) != one
| domain(addition(domain(X_33),X_351)) != domain(addition(X_33,X_351))
| addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(X_351,domain(X_33))),domain(addition(domain(X_33),X_351))),one) ),[0,1],$fot(domain(addition(X_33,X_351)))]]) ).
cnf(refute_0_330,plain,
( addition(antidomain(addition(X_351,domain(X_33))),domain(addition(domain(X_33),X_351))) != one
| addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))) = one ),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_33),X_351)),domain(addition(X_33,X_351))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_351,domain(X_33))),domain(addition(domain(X_33),X_351))),one) )],[refute_0_316,refute_0_330]) ).
cnf(refute_0_332,plain,
addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))) = addition(domain(addition(X_33,X_351)),antidomain(addition(X_351,domain(X_33)))),
inference(subst,[],[refute_0_16:[bind(A,$fot(domain(addition(X_33,X_351)))),bind(B,$fot(antidomain(addition(X_351,domain(X_33)))))]]) ).
cnf(refute_0_333,plain,
( addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))) != addition(domain(addition(X_33,X_351)),antidomain(addition(X_351,domain(X_33))))
| addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))) != one
| addition(domain(addition(X_33,X_351)),antidomain(addition(X_351,domain(X_33)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))),one) ),[0],$fot(addition(domain(addition(X_33,X_351)),antidomain(addition(X_351,domain(X_33)))))]]) ).
cnf(refute_0_334,plain,
( addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))) != one
| addition(domain(addition(X_33,X_351)),antidomain(addition(X_351,domain(X_33)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))),addition(domain(addition(X_33,X_351)),antidomain(addition(X_351,domain(X_33))))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
addition(domain(addition(X_33,X_351)),antidomain(addition(X_351,domain(X_33)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_351,domain(X_33))),domain(addition(X_33,X_351))),one) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
addition(domain(addition(X_33,multiplication(X_33,X_411))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = one,
inference(subst,[],[refute_0_335:[bind(X_351,$fot(multiplication(X_33,X_411)))]]) ).
cnf(refute_0_337,plain,
multiplication(X_33,addition(X_411,one)) = addition(X_33,multiplication(X_33,X_411)),
inference(subst,[],[refute_0_168:[bind(X_267,$fot(X_33)),bind(X_268,$fot(X_411))]]) ).
cnf(refute_0_338,plain,
( multiplication(X_33,addition(X_411,one)) != addition(X_33,multiplication(X_33,X_411))
| addition(X_33,multiplication(X_33,X_411)) = multiplication(X_33,addition(X_411,one)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(X_33,addition(X_411,one)))),bind(Y,$fot(addition(X_33,multiplication(X_33,X_411))))]]) ).
cnf(refute_0_339,plain,
addition(X_33,multiplication(X_33,X_411)) = multiplication(X_33,addition(X_411,one)),
inference(resolve,[$cnf( $equal(multiplication(X_33,addition(X_411,one)),addition(X_33,multiplication(X_33,X_411))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
( addition(X_33,multiplication(X_33,X_411)) != multiplication(X_33,addition(X_411,one))
| addition(domain(addition(X_33,multiplication(X_33,X_411))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != one
| addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(addition(X_33,multiplication(X_33,X_411))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),one) ),[0,0,0],$fot(multiplication(X_33,addition(X_411,one)))]]) ).
cnf(refute_0_341,plain,
( addition(domain(addition(X_33,multiplication(X_33,X_411))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != one
| addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = one ),
inference(resolve,[$cnf( $equal(addition(X_33,multiplication(X_33,X_411)),multiplication(X_33,addition(X_411,one))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(addition(X_33,multiplication(X_33,X_411))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),one) )],[refute_0_336,refute_0_341]) ).
cnf(refute_0_343,plain,
addition(multiplication(X_33,X_411),domain(X_33)) = addition(domain(X_33),multiplication(X_33,X_411)),
inference(subst,[],[refute_0_16:[bind(A,$fot(domain(X_33))),bind(B,$fot(multiplication(X_33,X_411)))]]) ).
cnf(refute_0_344,plain,
antidomain(addition(multiplication(X_33,X_411),domain(X_33))) = antidomain(addition(multiplication(X_33,X_411),domain(X_33))),
introduced(tautology,[refl,[$fot(antidomain(addition(multiplication(X_33,X_411),domain(X_33))))]]) ).
cnf(refute_0_345,plain,
( addition(multiplication(X_33,X_411),domain(X_33)) != addition(domain(X_33),multiplication(X_33,X_411))
| antidomain(addition(multiplication(X_33,X_411),domain(X_33))) != antidomain(addition(multiplication(X_33,X_411),domain(X_33)))
| antidomain(addition(multiplication(X_33,X_411),domain(X_33))) = antidomain(addition(domain(X_33),multiplication(X_33,X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(multiplication(X_33,X_411),domain(X_33))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) ),[1,0],$fot(addition(domain(X_33),multiplication(X_33,X_411)))]]) ).
cnf(refute_0_346,plain,
( addition(multiplication(X_33,X_411),domain(X_33)) != addition(domain(X_33),multiplication(X_33,X_411))
| antidomain(addition(multiplication(X_33,X_411),domain(X_33))) = antidomain(addition(domain(X_33),multiplication(X_33,X_411))) ),
inference(resolve,[$cnf( $equal(antidomain(addition(multiplication(X_33,X_411),domain(X_33))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
antidomain(addition(multiplication(X_33,X_411),domain(X_33))) = antidomain(addition(domain(X_33),multiplication(X_33,X_411))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_33,X_411),domain(X_33)),addition(domain(X_33),multiplication(X_33,X_411))) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),
introduced(tautology,[refl,[$fot(addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))))]]) ).
cnf(refute_0_349,plain,
( addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33))))
| antidomain(addition(multiplication(X_33,X_411),domain(X_33))) != antidomain(addition(domain(X_33),multiplication(X_33,X_411)))
| addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33))))) ),[1,1],$fot(antidomain(addition(domain(X_33),multiplication(X_33,X_411))))]]) ).
cnf(refute_0_350,plain,
( antidomain(addition(multiplication(X_33,X_411),domain(X_33))) != antidomain(addition(domain(X_33),multiplication(X_33,X_411)))
| addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33))))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))),
inference(resolve,[$cnf( $equal(antidomain(addition(multiplication(X_33,X_411),domain(X_33))),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))) )],[refute_0_347,refute_0_350]) ).
cnf(refute_0_352,plain,
domain(multiplication(X_33,addition(X_411,one))) = domain(X_33),
inference(subst,[],[refute_0_212:[bind(X_13,$fot(X_411)),bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_353,plain,
addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),
introduced(tautology,[refl,[$fot(addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))))]]) ).
cnf(refute_0_354,plain,
( addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33))))
| domain(multiplication(X_33,addition(X_411,one))) != domain(X_33)
| addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33))))) ),[1,0],$fot(domain(X_33))]]) ).
cnf(refute_0_355,plain,
( domain(multiplication(X_33,addition(X_411,one))) != domain(X_33)
| addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) ),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33))))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),
inference(resolve,[$cnf( $equal(domain(multiplication(X_33,addition(X_411,one))),domain(X_33)) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
( addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411))))
| addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33))))
| addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))))),bind(Y,$fot(addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))))),bind(Z,$fot(addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411))))))]]) ).
cnf(refute_0_358,plain,
( addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411))))
| addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))) ),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33))))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) = addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))),
inference(resolve,[$cnf( $equal(addition(domain(X_33),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411))))) )],[refute_0_351,refute_0_358]) ).
cnf(refute_0_360,plain,
( addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411))))
| addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != one
| addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),one) ),[0],$fot(addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))))]]) ).
cnf(refute_0_361,plain,
( addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))) != one
| addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411))))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
addition(domain(X_33),antidomain(addition(domain(X_33),multiplication(X_33,X_411)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(multiplication(X_33,addition(X_411,one))),antidomain(addition(multiplication(X_33,X_411),domain(X_33)))),one) )],[refute_0_342,refute_0_361]) ).
cnf(refute_0_363,plain,
addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),multiplication(antidomain(domain(X_968)),antidomain(X_968))))) = one,
inference(subst,[],[refute_0_362:[bind(X_33,$fot(antidomain(domain(X_968)))),bind(X_411,$fot(antidomain(X_968)))]]) ).
cnf(refute_0_364,plain,
multiplication(addition(domain(X_966),antidomain(domain(X_966))),antidomain(X_966)) = multiplication(antidomain(domain(X_966)),antidomain(X_966)),
inference(subst,[],[refute_0_237:[bind(X1,$fot(X_966)),bind(X_139,$fot(antidomain(domain(X_966))))]]) ).
cnf(refute_0_365,plain,
addition(antidomain(domain(X_33)),domain(domain(X_33))) = one,
inference(subst,[],[refute_0_244:[bind(X1,$fot(domain(X_33)))]]) ).
cnf(refute_0_366,plain,
( addition(antidomain(domain(X_33)),domain(domain(X_33))) != one
| domain(domain(X_33)) != domain(X_33)
| addition(antidomain(domain(X_33)),domain(X_33)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(domain(X_33))),one) ),[0,1],$fot(domain(X_33))]]) ).
cnf(refute_0_367,plain,
( addition(antidomain(domain(X_33)),domain(domain(X_33))) != one
| addition(antidomain(domain(X_33)),domain(X_33)) = one ),
inference(resolve,[$cnf( $equal(domain(domain(X_33)),domain(X_33)) )],[refute_0_320,refute_0_366]) ).
cnf(refute_0_368,plain,
addition(antidomain(domain(X_33)),domain(X_33)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(domain(X_33))),one) )],[refute_0_365,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(antidomain(domain(X_33)),domain(X_33)) = addition(domain(X_33),antidomain(domain(X_33))),
inference(subst,[],[refute_0_16:[bind(A,$fot(domain(X_33))),bind(B,$fot(antidomain(domain(X_33))))]]) ).
cnf(refute_0_370,plain,
( addition(antidomain(domain(X_33)),domain(X_33)) != addition(domain(X_33),antidomain(domain(X_33)))
| addition(antidomain(domain(X_33)),domain(X_33)) != one
| addition(domain(X_33),antidomain(domain(X_33))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(X_33)),one) ),[0],$fot(addition(domain(X_33),antidomain(domain(X_33))))]]) ).
cnf(refute_0_371,plain,
( addition(antidomain(domain(X_33)),domain(X_33)) != one
| addition(domain(X_33),antidomain(domain(X_33))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(X_33)),addition(domain(X_33),antidomain(domain(X_33)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
addition(domain(X_33),antidomain(domain(X_33))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(X_33)),one) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
addition(domain(X_966),antidomain(domain(X_966))) = one,
inference(subst,[],[refute_0_372:[bind(X_33,$fot(X_966))]]) ).
cnf(refute_0_374,plain,
( addition(domain(X_966),antidomain(domain(X_966))) != one
| multiplication(addition(domain(X_966),antidomain(domain(X_966))),antidomain(X_966)) != multiplication(antidomain(domain(X_966)),antidomain(X_966))
| multiplication(one,antidomain(X_966)) = multiplication(antidomain(domain(X_966)),antidomain(X_966)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_966),antidomain(domain(X_966))),antidomain(X_966)),multiplication(antidomain(domain(X_966)),antidomain(X_966))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_375,plain,
( multiplication(addition(domain(X_966),antidomain(domain(X_966))),antidomain(X_966)) != multiplication(antidomain(domain(X_966)),antidomain(X_966))
| multiplication(one,antidomain(X_966)) = multiplication(antidomain(domain(X_966)),antidomain(X_966)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_966),antidomain(domain(X_966))),one) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiplication(one,antidomain(X_966)) = multiplication(antidomain(domain(X_966)),antidomain(X_966)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_966),antidomain(domain(X_966))),antidomain(X_966)),multiplication(antidomain(domain(X_966)),antidomain(X_966))) )],[refute_0_364,refute_0_375]) ).
cnf(refute_0_377,plain,
( multiplication(one,antidomain(X_966)) != antidomain(X_966)
| multiplication(one,antidomain(X_966)) != multiplication(antidomain(domain(X_966)),antidomain(X_966))
| antidomain(X_966) = multiplication(antidomain(domain(X_966)),antidomain(X_966)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(X_966)),multiplication(antidomain(domain(X_966)),antidomain(X_966))) ),[0],$fot(antidomain(X_966))]]) ).
cnf(refute_0_378,plain,
( multiplication(one,antidomain(X_966)) != multiplication(antidomain(domain(X_966)),antidomain(X_966))
| antidomain(X_966) = multiplication(antidomain(domain(X_966)),antidomain(X_966)) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_966)),antidomain(X_966)) )],[refute_0_301,refute_0_377]) ).
cnf(refute_0_379,plain,
antidomain(X_966) = multiplication(antidomain(domain(X_966)),antidomain(X_966)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_966)),multiplication(antidomain(domain(X_966)),antidomain(X_966))) )],[refute_0_376,refute_0_378]) ).
cnf(refute_0_380,plain,
antidomain(X_968) = multiplication(antidomain(domain(X_968)),antidomain(X_968)),
inference(subst,[],[refute_0_379:[bind(X_966,$fot(X_968))]]) ).
cnf(refute_0_381,plain,
( antidomain(X_968) != multiplication(antidomain(domain(X_968)),antidomain(X_968))
| multiplication(antidomain(domain(X_968)),antidomain(X_968)) = antidomain(X_968) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(antidomain(X_968))),bind(Y,$fot(multiplication(antidomain(domain(X_968)),antidomain(X_968))))]]) ).
cnf(refute_0_382,plain,
multiplication(antidomain(domain(X_968)),antidomain(X_968)) = antidomain(X_968),
inference(resolve,[$cnf( $equal(antidomain(X_968),multiplication(antidomain(domain(X_968)),antidomain(X_968))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),multiplication(antidomain(domain(X_968)),antidomain(X_968))))) != one
| multiplication(antidomain(domain(X_968)),antidomain(X_968)) != antidomain(X_968)
| addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),multiplication(antidomain(domain(X_968)),antidomain(X_968))))),one) ),[0,1,0,1],$fot(antidomain(X_968))]]) ).
cnf(refute_0_384,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),multiplication(antidomain(domain(X_968)),antidomain(X_968))))) != one
| addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) = one ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),antidomain(X_968)),antidomain(X_968)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),multiplication(antidomain(domain(X_968)),antidomain(X_968))))),one) )],[refute_0_363,refute_0_384]) ).
cnf(refute_0_386,plain,
multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) = addition(addition(X_138,domain(X1)),multiplication(addition(X_138,domain(X1)),antidomain(X1))),
inference(subst,[],[refute_0_168:[bind(X_267,$fot(addition(X_138,domain(X1)))),bind(X_268,$fot(antidomain(X1)))]]) ).
cnf(refute_0_387,plain,
( multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) != addition(addition(X_138,domain(X1)),multiplication(addition(X_138,domain(X1)),antidomain(X1)))
| multiplication(addition(X_138,domain(X1)),antidomain(X1)) != multiplication(X_138,antidomain(X1))
| multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) = addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)),addition(addition(X_138,domain(X1)),multiplication(addition(X_138,domain(X1)),antidomain(X1)))) ),[1,1],$fot(multiplication(X_138,antidomain(X1)))]]) ).
cnf(refute_0_388,plain,
( multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) != addition(addition(X_138,domain(X1)),multiplication(addition(X_138,domain(X1)),antidomain(X1)))
| multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) = addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),antidomain(X1)),multiplication(X_138,antidomain(X1))) )],[refute_0_119,refute_0_387]) ).
cnf(refute_0_389,plain,
multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) = addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)),addition(addition(X_138,domain(X1)),multiplication(addition(X_138,domain(X1)),antidomain(X1)))) )],[refute_0_386,refute_0_388]) ).
cnf(refute_0_390,plain,
multiplication(addition(X_138,domain(X1)),one) = addition(X_138,domain(X1)),
inference(subst,[],[refute_0_160:[bind(A,$fot(addition(X_138,domain(X1))))]]) ).
cnf(refute_0_391,plain,
addition(antidomain(X_64),addition(domain(X_64),antidomain(domain(X_64)))) = addition(one,antidomain(domain(X_64))),
inference(subst,[],[refute_0_247:[bind(X1,$fot(X_64)),bind(X_56,$fot(antidomain(domain(X_64))))]]) ).
cnf(refute_0_392,plain,
addition(domain(X_64),antidomain(domain(X_64))) = one,
inference(subst,[],[refute_0_372:[bind(X_33,$fot(X_64))]]) ).
cnf(refute_0_393,plain,
( addition(antidomain(X_64),addition(domain(X_64),antidomain(domain(X_64)))) != addition(one,antidomain(domain(X_64)))
| addition(domain(X_64),antidomain(domain(X_64))) != one
| addition(antidomain(X_64),one) = addition(one,antidomain(domain(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_64),addition(domain(X_64),antidomain(domain(X_64)))),addition(one,antidomain(domain(X_64)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_394,plain,
( addition(antidomain(X_64),addition(domain(X_64),antidomain(domain(X_64)))) != addition(one,antidomain(domain(X_64)))
| addition(antidomain(X_64),one) = addition(one,antidomain(domain(X_64))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_64),antidomain(domain(X_64))),one) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
addition(antidomain(X_64),one) = addition(one,antidomain(domain(X_64))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_64),addition(domain(X_64),antidomain(domain(X_64)))),addition(one,antidomain(domain(X_64)))) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
addition(addition(one,X_29),one) = addition(one,addition(one,X_29)),
inference(subst,[],[refute_0_11:[bind(A,$fot(addition(one,X_29))),bind(B,$fot(one))]]) ).
cnf(refute_0_397,plain,
addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(addition(one,X_16)))]]) ).
cnf(refute_0_398,plain,
domain(addition(one,X_16)) = one,
inference(subst,[],[refute_0_282:[bind(X_14,$fot(X_16))]]) ).
cnf(refute_0_399,plain,
( addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| domain(addition(one,X_16)) != one
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_400,plain,
( addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X_16)),one) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)),
inference(resolve,[$cnf( $equal(addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
multiplication(one,addition(one,X_16)) = addition(one,X_16),
inference(subst,[],[refute_0_6:[bind(A,$fot(addition(one,X_16)))]]) ).
cnf(refute_0_403,plain,
addition(X_16,multiplication(one,addition(one,X_16))) = addition(X_16,multiplication(one,addition(one,X_16))),
introduced(tautology,[refl,[$fot(addition(X_16,multiplication(one,addition(one,X_16))))]]) ).
cnf(refute_0_404,plain,
( addition(X_16,multiplication(one,addition(one,X_16))) != addition(X_16,multiplication(one,addition(one,X_16)))
| multiplication(one,addition(one,X_16)) != addition(one,X_16)
| addition(X_16,multiplication(one,addition(one,X_16))) = addition(X_16,addition(one,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_16,multiplication(one,addition(one,X_16))),addition(X_16,multiplication(one,addition(one,X_16)))) ),[1,1],$fot(addition(one,X_16))]]) ).
cnf(refute_0_405,plain,
( multiplication(one,addition(one,X_16)) != addition(one,X_16)
| addition(X_16,multiplication(one,addition(one,X_16))) = addition(X_16,addition(one,X_16)) ),
inference(resolve,[$cnf( $equal(addition(X_16,multiplication(one,addition(one,X_16))),addition(X_16,multiplication(one,addition(one,X_16)))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
addition(X_16,multiplication(one,addition(one,X_16))) = addition(X_16,addition(one,X_16)),
inference(resolve,[$cnf( $equal(multiplication(one,addition(one,X_16)),addition(one,X_16)) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) = addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),
introduced(tautology,[refl,[$fot(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))))]]) ).
cnf(refute_0_408,plain,
( addition(X_16,multiplication(one,addition(one,X_16))) != addition(X_16,addition(one,X_16))
| addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) != addition(one,addition(X_16,multiplication(one,addition(one,X_16))))
| addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) = addition(one,addition(X_16,addition(one,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),addition(one,addition(X_16,multiplication(one,addition(one,X_16))))) ),[1,1],$fot(addition(X_16,addition(one,X_16)))]]) ).
cnf(refute_0_409,plain,
( addition(X_16,multiplication(one,addition(one,X_16))) != addition(X_16,addition(one,X_16))
| addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) = addition(one,addition(X_16,addition(one,X_16))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),addition(one,addition(X_16,multiplication(one,addition(one,X_16))))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) = addition(one,addition(X_16,addition(one,X_16))),
inference(resolve,[$cnf( $equal(addition(X_16,multiplication(one,addition(one,X_16))),addition(X_16,addition(one,X_16))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_412,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_98,refute_0_411]) ).
cnf(refute_0_413,plain,
addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),
inference(subst,[],[refute_0_412:[bind(A,$fot(one)),bind(B,$fot(X_16)),bind(C,$fot(multiplication(one,addition(one,X_16))))]]) ).
cnf(refute_0_414,plain,
( addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != addition(one,addition(X_16,multiplication(one,addition(one,X_16))))
| addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) != addition(one,addition(X_16,addition(one,X_16)))
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = addition(one,addition(X_16,addition(one,X_16))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(addition(one,X_16),multiplication(one,addition(one,X_16))))),bind(Y,$fot(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))))),bind(Z,$fot(addition(one,addition(X_16,addition(one,X_16)))))]]) ).
cnf(refute_0_415,plain,
( addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) != addition(one,addition(X_16,addition(one,X_16)))
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = addition(one,addition(X_16,addition(one,X_16))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_16),multiplication(one,addition(one,X_16))),addition(one,addition(X_16,multiplication(one,addition(one,X_16))))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = addition(one,addition(X_16,addition(one,X_16))),
inference(resolve,[$cnf( $equal(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),addition(one,addition(X_16,addition(one,X_16)))) )],[refute_0_410,refute_0_415]) ).
cnf(refute_0_417,plain,
( addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != addition(one,addition(X_16,addition(one,X_16)))
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(one,addition(X_16,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_16),multiplication(one,addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) ),[0],$fot(addition(one,addition(X_16,addition(one,X_16))))]]) ).
cnf(refute_0_418,plain,
( addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(one,addition(X_16,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_16),multiplication(one,addition(one,X_16))),addition(one,addition(X_16,addition(one,X_16)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
multiplication(domain(addition(one,X_16)),addition(one,X_16)) = multiplication(domain(addition(one,X_16)),addition(one,X_16)),
introduced(tautology,[refl,[$fot(multiplication(domain(addition(one,X_16)),addition(one,X_16)))]]) ).
cnf(refute_0_420,plain,
( domain(addition(one,X_16)) != one
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) = multiplication(one,addition(one,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(one,X_16)),addition(one,X_16)),multiplication(domain(addition(one,X_16)),addition(one,X_16))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_421,plain,
( domain(addition(one,X_16)) != one
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) = multiplication(one,addition(one,X_16)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_16)),addition(one,X_16)),multiplication(domain(addition(one,X_16)),addition(one,X_16))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
multiplication(domain(addition(one,X_16)),addition(one,X_16)) = multiplication(one,addition(one,X_16)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_16)),one) )],[refute_0_398,refute_0_421]) ).
cnf(refute_0_423,plain,
( multiplication(domain(addition(one,X_16)),addition(one,X_16)) != multiplication(one,addition(one,X_16))
| multiplication(one,addition(one,X_16)) != addition(one,X_16)
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) = addition(one,X_16) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(addition(one,X_16)),addition(one,X_16)))),bind(Y,$fot(multiplication(one,addition(one,X_16)))),bind(Z,$fot(addition(one,X_16)))]]) ).
cnf(refute_0_424,plain,
( multiplication(one,addition(one,X_16)) != addition(one,X_16)
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) = addition(one,X_16) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_16)),addition(one,X_16)),multiplication(one,addition(one,X_16))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
multiplication(domain(addition(one,X_16)),addition(one,X_16)) = addition(one,X_16),
inference(resolve,[$cnf( $equal(multiplication(one,addition(one,X_16)),addition(one,X_16)) )],[refute_0_402,refute_0_424]) ).
cnf(refute_0_426,plain,
( addition(one,addition(X_16,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) != addition(one,X_16)
| addition(one,addition(X_16,addition(one,X_16))) = addition(one,X_16) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,addition(X_16,addition(one,X_16))),addition(one,X_16)) ),[0],$fot(multiplication(domain(addition(one,X_16)),addition(one,X_16)))]]) ).
cnf(refute_0_427,plain,
( addition(one,addition(X_16,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(one,addition(X_16,addition(one,X_16))) = addition(one,X_16) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_16)),addition(one,X_16)),addition(one,X_16)) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
( addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(one,addition(X_16,addition(one,X_16))) = addition(one,X_16) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_16,addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) )],[refute_0_418,refute_0_427]) ).
cnf(refute_0_429,plain,
addition(one,addition(X_16,addition(one,X_16))) = addition(one,X_16),
inference(resolve,[$cnf( $equal(addition(addition(one,X_16),multiplication(one,addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) )],[refute_0_401,refute_0_428]) ).
cnf(refute_0_430,plain,
addition(one,addition(X_25,addition(one,X_25))) = addition(one,X_25),
inference(subst,[],[refute_0_429:[bind(X_16,$fot(X_25))]]) ).
cnf(refute_0_431,plain,
addition(X_25,one) = addition(one,X_25),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_25)),bind(B,$fot(one))]]) ).
cnf(refute_0_432,plain,
( addition(X_25,one) != addition(one,X_25)
| addition(one,X_25) = addition(X_25,one) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_25,one))),bind(Y,$fot(addition(one,X_25)))]]) ).
cnf(refute_0_433,plain,
addition(one,X_25) = addition(X_25,one),
inference(resolve,[$cnf( $equal(addition(X_25,one),addition(one,X_25)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
( addition(one,X_25) != addition(X_25,one)
| addition(one,addition(X_25,addition(one,X_25))) != addition(one,X_25)
| addition(one,addition(X_25,addition(X_25,one))) = addition(one,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_25,addition(one,X_25))),addition(one,X_25)) ),[0,1,1],$fot(addition(X_25,one))]]) ).
cnf(refute_0_435,plain,
( addition(one,addition(X_25,addition(one,X_25))) != addition(one,X_25)
| addition(one,addition(X_25,addition(X_25,one))) = addition(one,X_25) ),
inference(resolve,[$cnf( $equal(addition(one,X_25),addition(X_25,one)) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
addition(one,addition(X_25,addition(X_25,one))) = addition(one,X_25),
inference(resolve,[$cnf( $equal(addition(one,addition(X_25,addition(one,X_25))),addition(one,X_25)) )],[refute_0_430,refute_0_435]) ).
cnf(refute_0_437,plain,
addition(addition(X_26,addition(X_26,one)),one) = addition(one,addition(X_26,addition(X_26,one))),
inference(subst,[],[refute_0_11:[bind(A,$fot(addition(X_26,addition(X_26,one)))),bind(B,$fot(one))]]) ).
cnf(refute_0_438,plain,
addition(one,addition(X_26,addition(X_26,one))) = addition(one,X_26),
inference(subst,[],[refute_0_436:[bind(X_25,$fot(X_26))]]) ).
cnf(refute_0_439,plain,
( addition(addition(X_26,addition(X_26,one)),one) != addition(one,addition(X_26,addition(X_26,one)))
| addition(one,addition(X_26,addition(X_26,one))) != addition(one,X_26)
| addition(addition(X_26,addition(X_26,one)),one) = addition(one,X_26) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(X_26,addition(X_26,one)),one),addition(one,X_26)) ),[0],$fot(addition(one,addition(X_26,addition(X_26,one))))]]) ).
cnf(refute_0_440,plain,
( addition(addition(X_26,addition(X_26,one)),one) != addition(one,addition(X_26,addition(X_26,one)))
| addition(addition(X_26,addition(X_26,one)),one) = addition(one,X_26) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_26,addition(X_26,one))),addition(one,X_26)) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
addition(addition(X_26,addition(X_26,one)),one) = addition(one,X_26),
inference(resolve,[$cnf( $equal(addition(addition(X_26,addition(X_26,one)),one),addition(one,addition(X_26,addition(X_26,one)))) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
addition(one,one) = one,
inference(subst,[],[refute_0_106:[bind(A,$fot(one))]]) ).
cnf(refute_0_443,plain,
addition(X_26,addition(one,one)) = addition(X_26,addition(one,one)),
introduced(tautology,[refl,[$fot(addition(X_26,addition(one,one)))]]) ).
cnf(refute_0_444,plain,
( addition(X_26,addition(one,one)) != addition(X_26,addition(one,one))
| addition(one,one) != one
| addition(X_26,addition(one,one)) = addition(X_26,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_26,addition(one,one)),addition(X_26,addition(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_445,plain,
( addition(one,one) != one
| addition(X_26,addition(one,one)) = addition(X_26,one) ),
inference(resolve,[$cnf( $equal(addition(X_26,addition(one,one)),addition(X_26,addition(one,one))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
addition(X_26,addition(one,one)) = addition(X_26,one),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_442,refute_0_445]) ).
cnf(refute_0_447,plain,
addition(addition(X_26,one),one) = addition(X_26,addition(one,one)),
inference(subst,[],[refute_0_412:[bind(A,$fot(X_26)),bind(B,$fot(one)),bind(C,$fot(one))]]) ).
cnf(refute_0_448,plain,
( addition(X_26,addition(one,one)) != addition(X_26,one)
| addition(addition(X_26,one),one) != addition(X_26,addition(one,one))
| addition(addition(X_26,one),one) = addition(X_26,one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(addition(X_26,one),one))),bind(Y,$fot(addition(X_26,addition(one,one)))),bind(Z,$fot(addition(X_26,one)))]]) ).
cnf(refute_0_449,plain,
( addition(X_26,addition(one,one)) != addition(X_26,one)
| addition(addition(X_26,one),one) = addition(X_26,one) ),
inference(resolve,[$cnf( $equal(addition(addition(X_26,one),one),addition(X_26,addition(one,one))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
addition(addition(X_26,one),one) = addition(X_26,one),
inference(resolve,[$cnf( $equal(addition(X_26,addition(one,one)),addition(X_26,one)) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
addition(X_26,addition(addition(X_26,one),one)) = addition(X_26,addition(addition(X_26,one),one)),
introduced(tautology,[refl,[$fot(addition(X_26,addition(addition(X_26,one),one)))]]) ).
cnf(refute_0_452,plain,
( addition(X_26,addition(addition(X_26,one),one)) != addition(X_26,addition(addition(X_26,one),one))
| addition(addition(X_26,one),one) != addition(X_26,one)
| addition(X_26,addition(addition(X_26,one),one)) = addition(X_26,addition(X_26,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_26,addition(addition(X_26,one),one)),addition(X_26,addition(addition(X_26,one),one))) ),[1,1],$fot(addition(X_26,one))]]) ).
cnf(refute_0_453,plain,
( addition(addition(X_26,one),one) != addition(X_26,one)
| addition(X_26,addition(addition(X_26,one),one)) = addition(X_26,addition(X_26,one)) ),
inference(resolve,[$cnf( $equal(addition(X_26,addition(addition(X_26,one),one)),addition(X_26,addition(addition(X_26,one),one))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
addition(X_26,addition(addition(X_26,one),one)) = addition(X_26,addition(X_26,one)),
inference(resolve,[$cnf( $equal(addition(addition(X_26,one),one),addition(X_26,one)) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
addition(addition(X_26,addition(X_26,one)),one) = addition(X_26,addition(addition(X_26,one),one)),
inference(subst,[],[refute_0_412:[bind(A,$fot(X_26)),bind(B,$fot(addition(X_26,one))),bind(C,$fot(one))]]) ).
cnf(refute_0_456,plain,
( addition(X_26,addition(addition(X_26,one),one)) != addition(X_26,addition(X_26,one))
| addition(addition(X_26,addition(X_26,one)),one) != addition(X_26,addition(addition(X_26,one),one))
| addition(addition(X_26,addition(X_26,one)),one) = addition(X_26,addition(X_26,one)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(addition(X_26,addition(X_26,one)),one))),bind(Y,$fot(addition(X_26,addition(addition(X_26,one),one)))),bind(Z,$fot(addition(X_26,addition(X_26,one))))]]) ).
cnf(refute_0_457,plain,
( addition(X_26,addition(addition(X_26,one),one)) != addition(X_26,addition(X_26,one))
| addition(addition(X_26,addition(X_26,one)),one) = addition(X_26,addition(X_26,one)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_26,addition(X_26,one)),one),addition(X_26,addition(addition(X_26,one),one))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
addition(addition(X_26,addition(X_26,one)),one) = addition(X_26,addition(X_26,one)),
inference(resolve,[$cnf( $equal(addition(X_26,addition(addition(X_26,one),one)),addition(X_26,addition(X_26,one))) )],[refute_0_454,refute_0_457]) ).
cnf(refute_0_459,plain,
( addition(addition(X_26,addition(X_26,one)),one) != addition(X_26,addition(X_26,one))
| addition(addition(X_26,addition(X_26,one)),one) != addition(one,X_26)
| addition(X_26,addition(X_26,one)) = addition(one,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_26,addition(X_26,one)),one),addition(one,X_26)) ),[0],$fot(addition(X_26,addition(X_26,one)))]]) ).
cnf(refute_0_460,plain,
( addition(addition(X_26,addition(X_26,one)),one) != addition(one,X_26)
| addition(X_26,addition(X_26,one)) = addition(one,X_26) ),
inference(resolve,[$cnf( $equal(addition(addition(X_26,addition(X_26,one)),one),addition(X_26,addition(X_26,one))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
addition(X_26,addition(X_26,one)) = addition(one,X_26),
inference(resolve,[$cnf( $equal(addition(addition(X_26,addition(X_26,one)),one),addition(one,X_26)) )],[refute_0_441,refute_0_460]) ).
cnf(refute_0_462,plain,
addition(X_25,addition(X_25,one)) = addition(one,X_25),
inference(subst,[],[refute_0_461:[bind(X_26,$fot(X_25))]]) ).
cnf(refute_0_463,plain,
addition(one,addition(X_25,addition(X_25,one))) = addition(one,addition(X_25,addition(X_25,one))),
introduced(tautology,[refl,[$fot(addition(one,addition(X_25,addition(X_25,one))))]]) ).
cnf(refute_0_464,plain,
( addition(X_25,addition(X_25,one)) != addition(one,X_25)
| addition(one,addition(X_25,addition(X_25,one))) != addition(one,addition(X_25,addition(X_25,one)))
| addition(one,addition(X_25,addition(X_25,one))) = addition(one,addition(one,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_25,addition(X_25,one))),addition(one,addition(X_25,addition(X_25,one)))) ),[1,1],$fot(addition(one,X_25))]]) ).
cnf(refute_0_465,plain,
( addition(X_25,addition(X_25,one)) != addition(one,X_25)
| addition(one,addition(X_25,addition(X_25,one))) = addition(one,addition(one,X_25)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_25,addition(X_25,one))),addition(one,addition(X_25,addition(X_25,one)))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
addition(one,addition(X_25,addition(X_25,one))) = addition(one,addition(one,X_25)),
inference(resolve,[$cnf( $equal(addition(X_25,addition(X_25,one)),addition(one,X_25)) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
( addition(one,addition(X_25,addition(X_25,one))) != addition(one,X_25)
| addition(one,addition(X_25,addition(X_25,one))) != addition(one,addition(one,X_25))
| addition(one,addition(one,X_25)) = addition(one,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_25,addition(X_25,one))),addition(one,X_25)) ),[0],$fot(addition(one,addition(one,X_25)))]]) ).
cnf(refute_0_468,plain,
( addition(one,addition(X_25,addition(X_25,one))) != addition(one,X_25)
| addition(one,addition(one,X_25)) = addition(one,X_25) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_25,addition(X_25,one))),addition(one,addition(one,X_25))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
addition(one,addition(one,X_25)) = addition(one,X_25),
inference(resolve,[$cnf( $equal(addition(one,addition(X_25,addition(X_25,one))),addition(one,X_25)) )],[refute_0_436,refute_0_468]) ).
cnf(refute_0_470,plain,
addition(one,addition(one,X_29)) = addition(one,X_29),
inference(subst,[],[refute_0_469:[bind(X_25,$fot(X_29))]]) ).
cnf(refute_0_471,plain,
( addition(addition(one,X_29),one) != addition(one,addition(one,X_29))
| addition(one,addition(one,X_29)) != addition(one,X_29)
| addition(addition(one,X_29),one) = addition(one,X_29) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(one,X_29),one),addition(one,X_29)) ),[0],$fot(addition(one,addition(one,X_29)))]]) ).
cnf(refute_0_472,plain,
( addition(addition(one,X_29),one) != addition(one,addition(one,X_29))
| addition(addition(one,X_29),one) = addition(one,X_29) ),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_29)),addition(one,X_29)) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
addition(addition(one,X_29),one) = addition(one,X_29),
inference(resolve,[$cnf( $equal(addition(addition(one,X_29),one),addition(one,addition(one,X_29))) )],[refute_0_396,refute_0_472]) ).
cnf(refute_0_474,plain,
addition(addition(one,X_29),one) = addition(one,addition(X_29,one)),
inference(subst,[],[refute_0_412:[bind(A,$fot(one)),bind(B,$fot(X_29)),bind(C,$fot(one))]]) ).
cnf(refute_0_475,plain,
( addition(addition(one,X_29),one) != addition(one,X_29)
| addition(addition(one,X_29),one) != addition(one,addition(X_29,one))
| addition(one,addition(X_29,one)) = addition(one,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_29),one),addition(one,X_29)) ),[0],$fot(addition(one,addition(X_29,one)))]]) ).
cnf(refute_0_476,plain,
( addition(addition(one,X_29),one) != addition(one,X_29)
| addition(one,addition(X_29,one)) = addition(one,X_29) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_29),one),addition(one,addition(X_29,one))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
addition(one,addition(X_29,one)) = addition(one,X_29),
inference(resolve,[$cnf( $equal(addition(addition(one,X_29),one),addition(one,X_29)) )],[refute_0_473,refute_0_476]) ).
cnf(refute_0_478,plain,
addition(addition(X_55,X_56),addition(X_55,X_56)) = addition(addition(addition(X_55,X_56),X_55),X_56),
inference(subst,[],[refute_0_98:[bind(A,$fot(addition(X_55,X_56))),bind(B,$fot(X_55)),bind(C,$fot(X_56))]]) ).
cnf(refute_0_479,plain,
addition(addition(X_55,X_56),addition(X_55,X_56)) = addition(X_55,X_56),
inference(subst,[],[refute_0_106:[bind(A,$fot(addition(X_55,X_56)))]]) ).
cnf(refute_0_480,plain,
( addition(addition(X_55,X_56),addition(X_55,X_56)) != addition(X_55,X_56)
| addition(addition(X_55,X_56),addition(X_55,X_56)) != addition(addition(addition(X_55,X_56),X_55),X_56)
| addition(X_55,X_56) = addition(addition(addition(X_55,X_56),X_55),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_55,X_56),addition(X_55,X_56)),addition(addition(addition(X_55,X_56),X_55),X_56)) ),[0],$fot(addition(X_55,X_56))]]) ).
cnf(refute_0_481,plain,
( addition(addition(X_55,X_56),addition(X_55,X_56)) != addition(addition(addition(X_55,X_56),X_55),X_56)
| addition(X_55,X_56) = addition(addition(addition(X_55,X_56),X_55),X_56) ),
inference(resolve,[$cnf( $equal(addition(addition(X_55,X_56),addition(X_55,X_56)),addition(X_55,X_56)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
addition(X_55,X_56) = addition(addition(addition(X_55,X_56),X_55),X_56),
inference(resolve,[$cnf( $equal(addition(addition(X_55,X_56),addition(X_55,X_56)),addition(addition(addition(X_55,X_56),X_55),X_56)) )],[refute_0_478,refute_0_481]) ).
cnf(refute_0_483,plain,
addition(X_54,addition(X_55,X_56)) = addition(addition(X_54,X_55),X_56),
inference(subst,[],[refute_0_98:[bind(A,$fot(X_54)),bind(B,$fot(X_55)),bind(C,$fot(X_56))]]) ).
cnf(refute_0_484,plain,
addition(X_56,X_55) = addition(X_55,X_56),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_56)),bind(B,$fot(X_55))]]) ).
cnf(refute_0_485,plain,
( addition(X_56,X_55) != addition(X_55,X_56)
| addition(X_55,X_56) = addition(X_56,X_55) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_56,X_55))),bind(Y,$fot(addition(X_55,X_56)))]]) ).
cnf(refute_0_486,plain,
addition(X_55,X_56) = addition(X_56,X_55),
inference(resolve,[$cnf( $equal(addition(X_56,X_55),addition(X_55,X_56)) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( addition(X_54,addition(X_55,X_56)) != addition(addition(X_54,X_55),X_56)
| addition(X_55,X_56) != addition(X_56,X_55)
| addition(X_54,addition(X_56,X_55)) = addition(addition(X_54,X_55),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_54,addition(X_55,X_56)),addition(addition(X_54,X_55),X_56)) ),[0,1],$fot(addition(X_56,X_55))]]) ).
cnf(refute_0_488,plain,
( addition(X_54,addition(X_55,X_56)) != addition(addition(X_54,X_55),X_56)
| addition(X_54,addition(X_56,X_55)) = addition(addition(X_54,X_55),X_56) ),
inference(resolve,[$cnf( $equal(addition(X_55,X_56),addition(X_56,X_55)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
addition(X_54,addition(X_56,X_55)) = addition(addition(X_54,X_55),X_56),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_55,X_56)),addition(addition(X_54,X_55),X_56)) )],[refute_0_483,refute_0_488]) ).
cnf(refute_0_490,plain,
addition(addition(X_54,X_55),X_56) = addition(X_54,addition(X_55,X_56)),
inference(subst,[],[refute_0_412:[bind(A,$fot(X_54)),bind(B,$fot(X_55)),bind(C,$fot(X_56))]]) ).
cnf(refute_0_491,plain,
( addition(X_54,addition(X_56,X_55)) != addition(addition(X_54,X_55),X_56)
| addition(addition(X_54,X_55),X_56) != addition(X_54,addition(X_55,X_56))
| addition(X_54,addition(X_56,X_55)) = addition(X_54,addition(X_55,X_56)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_54,addition(X_56,X_55)),addition(X_54,addition(X_55,X_56))) ),[0],$fot(addition(addition(X_54,X_55),X_56))]]) ).
cnf(refute_0_492,plain,
( addition(X_54,addition(X_56,X_55)) != addition(addition(X_54,X_55),X_56)
| addition(X_54,addition(X_56,X_55)) = addition(X_54,addition(X_55,X_56)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_54,X_55),X_56),addition(X_54,addition(X_55,X_56))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
addition(X_54,addition(X_56,X_55)) = addition(X_54,addition(X_55,X_56)),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_56,X_55)),addition(addition(X_54,X_55),X_56)) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
( addition(X_54,addition(X_56,X_55)) != addition(X_54,addition(X_55,X_56))
| addition(X_54,addition(X_55,X_56)) = addition(X_54,addition(X_56,X_55)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_54,addition(X_56,X_55)))),bind(Y,$fot(addition(X_54,addition(X_55,X_56))))]]) ).
cnf(refute_0_495,plain,
addition(X_54,addition(X_55,X_56)) = addition(X_54,addition(X_56,X_55)),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_56,X_55)),addition(X_54,addition(X_55,X_56))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
addition(X_56,addition(addition(X_55,X_56),X_55)) = addition(X_56,addition(X_55,addition(X_55,X_56))),
inference(subst,[],[refute_0_495:[bind(X_54,$fot(X_56)),bind(X_55,$fot(addition(X_55,X_56))),bind(X_56,$fot(X_55))]]) ).
cnf(refute_0_497,plain,
addition(A,addition(X_54,X_55)) = addition(addition(X_54,X_55),A),
inference(subst,[],[refute_0_11:[bind(B,$fot(addition(X_54,X_55)))]]) ).
cnf(refute_0_498,plain,
addition(X_54,addition(X_55,A)) = addition(addition(X_54,X_55),A),
inference(subst,[],[refute_0_98:[bind(A,$fot(X_54)),bind(B,$fot(X_55)),bind(C,$fot(A))]]) ).
cnf(refute_0_499,plain,
( addition(X_54,addition(X_55,A)) != addition(addition(X_54,X_55),A)
| addition(addition(X_54,X_55),A) = addition(X_54,addition(X_55,A)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_54,addition(X_55,A)))),bind(Y,$fot(addition(addition(X_54,X_55),A)))]]) ).
cnf(refute_0_500,plain,
addition(addition(X_54,X_55),A) = addition(X_54,addition(X_55,A)),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_55,A)),addition(addition(X_54,X_55),A)) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
( addition(A,addition(X_54,X_55)) != addition(addition(X_54,X_55),A)
| addition(addition(X_54,X_55),A) != addition(X_54,addition(X_55,A))
| addition(A,addition(X_54,X_55)) = addition(X_54,addition(X_55,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_54,X_55)),addition(X_54,addition(X_55,A))) ),[0],$fot(addition(addition(X_54,X_55),A))]]) ).
cnf(refute_0_502,plain,
( addition(A,addition(X_54,X_55)) != addition(addition(X_54,X_55),A)
| addition(A,addition(X_54,X_55)) = addition(X_54,addition(X_55,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_54,X_55),A),addition(X_54,addition(X_55,A))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
addition(A,addition(X_54,X_55)) = addition(X_54,addition(X_55,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_54,X_55)),addition(addition(X_54,X_55),A)) )],[refute_0_497,refute_0_502]) ).
cnf(refute_0_504,plain,
( addition(A,addition(X_54,X_55)) != addition(X_54,addition(X_55,A))
| addition(X_54,addition(X_55,A)) = addition(A,addition(X_54,X_55)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(A,addition(X_54,X_55)))),bind(Y,$fot(addition(X_54,addition(X_55,A))))]]) ).
cnf(refute_0_505,plain,
addition(X_54,addition(X_55,A)) = addition(A,addition(X_54,X_55)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_54,X_55)),addition(X_54,addition(X_55,A))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
addition(addition(X_55,X_56),addition(X_55,X_56)) = addition(X_56,addition(addition(X_55,X_56),X_55)),
inference(subst,[],[refute_0_505:[bind(A,$fot(X_56)),bind(X_54,$fot(addition(X_55,X_56)))]]) ).
cnf(refute_0_507,plain,
( addition(X_56,addition(addition(X_55,X_56),X_55)) != addition(X_56,addition(X_55,addition(X_55,X_56)))
| addition(addition(X_55,X_56),addition(X_55,X_56)) != addition(X_56,addition(addition(X_55,X_56),X_55))
| addition(addition(X_55,X_56),addition(X_55,X_56)) = addition(X_56,addition(X_55,addition(X_55,X_56))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(addition(X_55,X_56),addition(X_55,X_56)))),bind(Y,$fot(addition(X_56,addition(addition(X_55,X_56),X_55)))),bind(Z,$fot(addition(X_56,addition(X_55,addition(X_55,X_56)))))]]) ).
cnf(refute_0_508,plain,
( addition(X_56,addition(addition(X_55,X_56),X_55)) != addition(X_56,addition(X_55,addition(X_55,X_56)))
| addition(addition(X_55,X_56),addition(X_55,X_56)) = addition(X_56,addition(X_55,addition(X_55,X_56))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_55,X_56),addition(X_55,X_56)),addition(X_56,addition(addition(X_55,X_56),X_55))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
addition(addition(X_55,X_56),addition(X_55,X_56)) = addition(X_56,addition(X_55,addition(X_55,X_56))),
inference(resolve,[$cnf( $equal(addition(X_56,addition(addition(X_55,X_56),X_55)),addition(X_56,addition(X_55,addition(X_55,X_56)))) )],[refute_0_496,refute_0_508]) ).
cnf(refute_0_510,plain,
addition(addition(addition(X_55,X_56),X_55),X_56) = addition(addition(X_55,X_56),addition(X_55,X_56)),
inference(subst,[],[refute_0_412:[bind(A,$fot(addition(X_55,X_56))),bind(B,$fot(X_55)),bind(C,$fot(X_56))]]) ).
cnf(refute_0_511,plain,
( addition(addition(X_55,X_56),addition(X_55,X_56)) != addition(X_56,addition(X_55,addition(X_55,X_56)))
| addition(addition(addition(X_55,X_56),X_55),X_56) != addition(addition(X_55,X_56),addition(X_55,X_56))
| addition(addition(addition(X_55,X_56),X_55),X_56) = addition(X_56,addition(X_55,addition(X_55,X_56))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(addition(addition(X_55,X_56),X_55),X_56))),bind(Y,$fot(addition(addition(X_55,X_56),addition(X_55,X_56)))),bind(Z,$fot(addition(X_56,addition(X_55,addition(X_55,X_56)))))]]) ).
cnf(refute_0_512,plain,
( addition(addition(X_55,X_56),addition(X_55,X_56)) != addition(X_56,addition(X_55,addition(X_55,X_56)))
| addition(addition(addition(X_55,X_56),X_55),X_56) = addition(X_56,addition(X_55,addition(X_55,X_56))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_55,X_56),X_55),X_56),addition(addition(X_55,X_56),addition(X_55,X_56))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
addition(addition(addition(X_55,X_56),X_55),X_56) = addition(X_56,addition(X_55,addition(X_55,X_56))),
inference(resolve,[$cnf( $equal(addition(addition(X_55,X_56),addition(X_55,X_56)),addition(X_56,addition(X_55,addition(X_55,X_56)))) )],[refute_0_509,refute_0_512]) ).
cnf(refute_0_514,plain,
( addition(X_55,X_56) != addition(addition(addition(X_55,X_56),X_55),X_56)
| addition(addition(addition(X_55,X_56),X_55),X_56) != addition(X_56,addition(X_55,addition(X_55,X_56)))
| addition(X_55,X_56) = addition(X_56,addition(X_55,addition(X_55,X_56))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_55,X_56),addition(X_56,addition(X_55,addition(X_55,X_56)))) ),[0],$fot(addition(addition(addition(X_55,X_56),X_55),X_56))]]) ).
cnf(refute_0_515,plain,
( addition(X_55,X_56) != addition(addition(addition(X_55,X_56),X_55),X_56)
| addition(X_55,X_56) = addition(X_56,addition(X_55,addition(X_55,X_56))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_55,X_56),X_55),X_56),addition(X_56,addition(X_55,addition(X_55,X_56)))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
addition(X_55,X_56) = addition(X_56,addition(X_55,addition(X_55,X_56))),
inference(resolve,[$cnf( $equal(addition(X_55,X_56),addition(addition(addition(X_55,X_56),X_55),X_56)) )],[refute_0_482,refute_0_515]) ).
cnf(refute_0_517,plain,
addition(X_55,addition(X_55,X_56)) = addition(addition(X_55,X_55),X_56),
inference(subst,[],[refute_0_98:[bind(A,$fot(X_55)),bind(B,$fot(X_55)),bind(C,$fot(X_56))]]) ).
cnf(refute_0_518,plain,
addition(X_55,X_55) = X_55,
inference(subst,[],[refute_0_106:[bind(A,$fot(X_55))]]) ).
cnf(refute_0_519,plain,
( addition(X_55,X_55) != X_55
| addition(X_55,addition(X_55,X_56)) != addition(addition(X_55,X_55),X_56)
| addition(X_55,addition(X_55,X_56)) = addition(X_55,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_55,addition(X_55,X_56)),addition(addition(X_55,X_55),X_56)) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_520,plain,
( addition(X_55,addition(X_55,X_56)) != addition(addition(X_55,X_55),X_56)
| addition(X_55,addition(X_55,X_56)) = addition(X_55,X_56) ),
inference(resolve,[$cnf( $equal(addition(X_55,X_55),X_55) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
addition(X_55,addition(X_55,X_56)) = addition(X_55,X_56),
inference(resolve,[$cnf( $equal(addition(X_55,addition(X_55,X_56)),addition(addition(X_55,X_55),X_56)) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
addition(X_56,addition(X_55,addition(X_55,X_56))) = addition(X_56,addition(X_55,addition(X_55,X_56))),
introduced(tautology,[refl,[$fot(addition(X_56,addition(X_55,addition(X_55,X_56))))]]) ).
cnf(refute_0_523,plain,
( addition(X_55,addition(X_55,X_56)) != addition(X_55,X_56)
| addition(X_56,addition(X_55,addition(X_55,X_56))) != addition(X_56,addition(X_55,addition(X_55,X_56)))
| addition(X_56,addition(X_55,addition(X_55,X_56))) = addition(X_56,addition(X_55,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_56,addition(X_55,addition(X_55,X_56))),addition(X_56,addition(X_55,addition(X_55,X_56)))) ),[1,1],$fot(addition(X_55,X_56))]]) ).
cnf(refute_0_524,plain,
( addition(X_55,addition(X_55,X_56)) != addition(X_55,X_56)
| addition(X_56,addition(X_55,addition(X_55,X_56))) = addition(X_56,addition(X_55,X_56)) ),
inference(resolve,[$cnf( $equal(addition(X_56,addition(X_55,addition(X_55,X_56))),addition(X_56,addition(X_55,addition(X_55,X_56)))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
addition(X_56,addition(X_55,addition(X_55,X_56))) = addition(X_56,addition(X_55,X_56)),
inference(resolve,[$cnf( $equal(addition(X_55,addition(X_55,X_56)),addition(X_55,X_56)) )],[refute_0_521,refute_0_524]) ).
cnf(refute_0_526,plain,
( addition(X_55,X_56) != addition(X_56,addition(X_55,addition(X_55,X_56)))
| addition(X_56,addition(X_55,addition(X_55,X_56))) != addition(X_56,addition(X_55,X_56))
| addition(X_55,X_56) = addition(X_56,addition(X_55,X_56)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_55,X_56),addition(X_56,addition(X_55,X_56))) ),[0],$fot(addition(X_56,addition(X_55,addition(X_55,X_56))))]]) ).
cnf(refute_0_527,plain,
( addition(X_55,X_56) != addition(X_56,addition(X_55,addition(X_55,X_56)))
| addition(X_55,X_56) = addition(X_56,addition(X_55,X_56)) ),
inference(resolve,[$cnf( $equal(addition(X_56,addition(X_55,addition(X_55,X_56))),addition(X_56,addition(X_55,X_56))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
addition(X_55,X_56) = addition(X_56,addition(X_55,X_56)),
inference(resolve,[$cnf( $equal(addition(X_55,X_56),addition(X_56,addition(X_55,addition(X_55,X_56)))) )],[refute_0_516,refute_0_527]) ).
cnf(refute_0_529,plain,
( addition(X_55,X_56) != addition(X_56,addition(X_55,X_56))
| addition(X_56,addition(X_55,X_56)) = addition(X_55,X_56) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_55,X_56))),bind(Y,$fot(addition(X_56,addition(X_55,X_56))))]]) ).
cnf(refute_0_530,plain,
addition(X_56,addition(X_55,X_56)) = addition(X_55,X_56),
inference(resolve,[$cnf( $equal(addition(X_55,X_56),addition(X_56,addition(X_55,X_56))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
addition(one,addition(X_29,one)) = addition(X_29,one),
inference(subst,[],[refute_0_530:[bind(X_55,$fot(X_29)),bind(X_56,$fot(one))]]) ).
cnf(refute_0_532,plain,
( addition(one,addition(X_29,one)) != addition(X_29,one)
| addition(one,addition(X_29,one)) != addition(one,X_29)
| addition(X_29,one) = addition(one,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_29,one)),addition(one,X_29)) ),[0],$fot(addition(X_29,one))]]) ).
cnf(refute_0_533,plain,
( addition(one,addition(X_29,one)) != addition(one,X_29)
| addition(X_29,one) = addition(one,X_29) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_29,one)),addition(X_29,one)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
addition(X_29,one) = addition(one,X_29),
inference(resolve,[$cnf( $equal(addition(one,addition(X_29,one)),addition(one,X_29)) )],[refute_0_477,refute_0_533]) ).
cnf(refute_0_535,plain,
addition(antidomain(X_64),one) = addition(one,antidomain(X_64)),
inference(subst,[],[refute_0_534:[bind(X_29,$fot(antidomain(X_64)))]]) ).
cnf(refute_0_536,plain,
( addition(antidomain(X_64),one) != addition(one,antidomain(X_64))
| addition(antidomain(X_64),one) != addition(one,antidomain(domain(X_64)))
| addition(one,antidomain(X_64)) = addition(one,antidomain(domain(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_64),one),addition(one,antidomain(domain(X_64)))) ),[0],$fot(addition(one,antidomain(X_64)))]]) ).
cnf(refute_0_537,plain,
( addition(antidomain(X_64),one) != addition(one,antidomain(domain(X_64)))
| addition(one,antidomain(X_64)) = addition(one,antidomain(domain(X_64))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_64),one),addition(one,antidomain(X_64))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
addition(one,addition(domain(X0),X_56)) = addition(addition(one,domain(X0)),X_56),
inference(subst,[],[refute_0_98:[bind(A,$fot(one)),bind(B,$fot(domain(X0))),bind(C,$fot(X_56))]]) ).
cnf(refute_0_539,plain,
( addition(one,addition(domain(X0),X_56)) != addition(addition(one,domain(X0)),X_56)
| addition(one,domain(X0)) != one
| addition(one,addition(domain(X0),X_56)) = addition(one,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(domain(X0),X_56)),addition(addition(one,domain(X0)),X_56)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_540,plain,
( addition(one,addition(domain(X0),X_56)) != addition(addition(one,domain(X0)),X_56)
| addition(one,addition(domain(X0),X_56)) = addition(one,X_56) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_32,refute_0_539]) ).
cnf(refute_0_541,plain,
addition(one,addition(domain(X0),X_56)) = addition(one,X_56),
inference(resolve,[$cnf( $equal(addition(one,addition(domain(X0),X_56)),addition(addition(one,domain(X0)),X_56)) )],[refute_0_538,refute_0_540]) ).
cnf(refute_0_542,plain,
addition(one,addition(domain(X_57),antidomain(domain(X_57)))) = addition(one,antidomain(domain(X_57))),
inference(subst,[],[refute_0_541:[bind(X0,$fot(X_57)),bind(X_56,$fot(antidomain(domain(X_57))))]]) ).
cnf(refute_0_543,plain,
addition(domain(X_57),antidomain(domain(X_57))) = one,
inference(subst,[],[refute_0_372:[bind(X_33,$fot(X_57))]]) ).
cnf(refute_0_544,plain,
( addition(domain(X_57),antidomain(domain(X_57))) != one
| addition(one,addition(domain(X_57),antidomain(domain(X_57)))) != addition(one,antidomain(domain(X_57)))
| addition(one,one) = addition(one,antidomain(domain(X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(domain(X_57),antidomain(domain(X_57)))),addition(one,antidomain(domain(X_57)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_545,plain,
( addition(one,addition(domain(X_57),antidomain(domain(X_57)))) != addition(one,antidomain(domain(X_57)))
| addition(one,one) = addition(one,antidomain(domain(X_57))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_57),antidomain(domain(X_57))),one) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
addition(one,one) = addition(one,antidomain(domain(X_57))),
inference(resolve,[$cnf( $equal(addition(one,addition(domain(X_57),antidomain(domain(X_57)))),addition(one,antidomain(domain(X_57)))) )],[refute_0_542,refute_0_545]) ).
cnf(refute_0_547,plain,
( addition(one,one) != addition(one,antidomain(domain(X_57)))
| addition(one,one) != one
| one = addition(one,antidomain(domain(X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,one),addition(one,antidomain(domain(X_57)))) ),[0],$fot(one)]]) ).
cnf(refute_0_548,plain,
( addition(one,one) != addition(one,antidomain(domain(X_57)))
| one = addition(one,antidomain(domain(X_57))) ),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_442,refute_0_547]) ).
cnf(refute_0_549,plain,
one = addition(one,antidomain(domain(X_57))),
inference(resolve,[$cnf( $equal(addition(one,one),addition(one,antidomain(domain(X_57)))) )],[refute_0_546,refute_0_548]) ).
cnf(refute_0_550,plain,
( one != addition(one,antidomain(domain(X_57)))
| addition(one,antidomain(domain(X_57))) = one ),
inference(subst,[],[refute_0_14:[bind(X,$fot(one)),bind(Y,$fot(addition(one,antidomain(domain(X_57)))))]]) ).
cnf(refute_0_551,plain,
addition(one,antidomain(domain(X_57))) = one,
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(domain(X_57)))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
addition(one,antidomain(domain(X_64))) = one,
inference(subst,[],[refute_0_551:[bind(X_57,$fot(X_64))]]) ).
cnf(refute_0_553,plain,
( addition(one,antidomain(X_64)) != addition(one,antidomain(domain(X_64)))
| addition(one,antidomain(domain(X_64))) != one
| addition(one,antidomain(X_64)) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,antidomain(X_64)),one) ),[0],$fot(addition(one,antidomain(domain(X_64))))]]) ).
cnf(refute_0_554,plain,
( addition(one,antidomain(X_64)) != addition(one,antidomain(domain(X_64)))
| addition(one,antidomain(X_64)) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(domain(X_64))),one) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
( addition(antidomain(X_64),one) != addition(one,antidomain(domain(X_64)))
| addition(one,antidomain(X_64)) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_64)),addition(one,antidomain(domain(X_64)))) )],[refute_0_537,refute_0_554]) ).
cnf(refute_0_556,plain,
addition(one,antidomain(X_64)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_64),one),addition(one,antidomain(domain(X_64)))) )],[refute_0_395,refute_0_555]) ).
cnf(refute_0_557,plain,
addition(one,antidomain(X1)) = one,
inference(subst,[],[refute_0_556:[bind(X_64,$fot(X1))]]) ).
cnf(refute_0_558,plain,
multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) = multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))))]]) ).
cnf(refute_0_559,plain,
( addition(one,antidomain(X1)) != one
| multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) != multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1)))
| multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) = multiplication(addition(X_138,domain(X1)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))),multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_560,plain,
( addition(one,antidomain(X1)) != one
| multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) = multiplication(addition(X_138,domain(X1)),one) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))),multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1)))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) = multiplication(addition(X_138,domain(X1)),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X1)),one) )],[refute_0_557,refute_0_560]) ).
cnf(refute_0_562,plain,
( multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) != multiplication(addition(X_138,domain(X1)),one)
| multiplication(addition(X_138,domain(X1)),one) != addition(X_138,domain(X1))
| multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) = addition(X_138,domain(X1)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))))),bind(Y,$fot(multiplication(addition(X_138,domain(X1)),one))),bind(Z,$fot(addition(X_138,domain(X1))))]]) ).
cnf(refute_0_563,plain,
( multiplication(addition(X_138,domain(X1)),one) != addition(X_138,domain(X1))
| multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) = addition(X_138,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))),multiplication(addition(X_138,domain(X1)),one)) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) = addition(X_138,domain(X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),one),addition(X_138,domain(X1))) )],[refute_0_390,refute_0_563]) ).
cnf(refute_0_565,plain,
multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) = addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(addition(X_404,domain(X_403)),antidomain(X_403))),
inference(subst,[],[refute_0_1:[bind(A,$fot(addition(X_404,domain(X_403)))),bind(C,$fot(antidomain(X_403)))]]) ).
cnf(refute_0_566,plain,
multiplication(addition(X_404,domain(X_403)),antidomain(X_403)) = multiplication(X_404,antidomain(X_403)),
inference(subst,[],[refute_0_119:[bind(X1,$fot(X_403)),bind(X_138,$fot(X_404))]]) ).
cnf(refute_0_567,plain,
( multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) != addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(addition(X_404,domain(X_403)),antidomain(X_403)))
| multiplication(addition(X_404,domain(X_403)),antidomain(X_403)) != multiplication(X_404,antidomain(X_403))
| multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) = addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))),addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(addition(X_404,domain(X_403)),antidomain(X_403)))) ),[1,1],$fot(multiplication(X_404,antidomain(X_403)))]]) ).
cnf(refute_0_568,plain,
( multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) != addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(addition(X_404,domain(X_403)),antidomain(X_403)))
| multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) = addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),antidomain(X_403)),multiplication(X_404,antidomain(X_403))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) = addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))),addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(addition(X_404,domain(X_403)),antidomain(X_403)))) )],[refute_0_565,refute_0_568]) ).
cnf(refute_0_570,plain,
multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)) = addition(multiplication(addition(X_404,domain(X_403)),antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C)),
inference(subst,[],[refute_0_1:[bind(A,$fot(addition(X_404,domain(X_403)))),bind(B,$fot(antidomain(X_403)))]]) ).
cnf(refute_0_571,plain,
( multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)) != addition(multiplication(addition(X_404,domain(X_403)),antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C))
| multiplication(addition(X_404,domain(X_403)),antidomain(X_403)) != multiplication(X_404,antidomain(X_403))
| multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)) = addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)),addition(multiplication(addition(X_404,domain(X_403)),antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C))) ),[1,0],$fot(multiplication(X_404,antidomain(X_403)))]]) ).
cnf(refute_0_572,plain,
( multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)) != addition(multiplication(addition(X_404,domain(X_403)),antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C))
| multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)) = addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),antidomain(X_403)),multiplication(X_404,antidomain(X_403))) )],[refute_0_566,refute_0_571]) ).
cnf(refute_0_573,plain,
multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)) = addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)),addition(multiplication(addition(X_404,domain(X_403)),antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C))) )],[refute_0_570,refute_0_572]) ).
cnf(refute_0_574,plain,
( multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)) != addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C))
| addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C)) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)))),bind(Y,$fot(addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C))))]]) ).
cnf(refute_0_575,plain,
addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C)) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),C)),addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),C))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),B)) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)),
inference(subst,[],[refute_0_575:[bind(C,$fot(B))]]) ).
cnf(refute_0_577,plain,
addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))) = addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),B)),
inference(subst,[],[refute_0_16:[bind(A,$fot(multiplication(X_404,antidomain(X_403)))),bind(B,$fot(multiplication(addition(X_404,domain(X_403)),B)))]]) ).
cnf(refute_0_578,plain,
( addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),B)) != multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))
| addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))) != addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),B))
| addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))))),bind(Y,$fot(addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),B)))),bind(Z,$fot(multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))))]]) ).
cnf(refute_0_579,plain,
( addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),B)) != multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))
| addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))),addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),B))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_404,antidomain(X_403)),multiplication(addition(X_404,domain(X_403)),B)),multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
( addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))) != multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))
| multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) != addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403)))
| multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))),addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403)))) ),[1],$fot(multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)))]]) ).
cnf(refute_0_582,plain,
( multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) != addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403)))
| multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403))),multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) = multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))),addition(multiplication(addition(X_404,domain(X_403)),B),multiplication(X_404,antidomain(X_403)))) )],[refute_0_569,refute_0_582]) ).
cnf(refute_0_584,plain,
( multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) != multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))
| multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)) = multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))))),bind(Y,$fot(multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))))]]) ).
cnf(refute_0_585,plain,
multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B)) = multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_404,domain(X_403)),addition(B,antidomain(X_403))),multiplication(addition(X_404,domain(X_403)),addition(antidomain(X_403),B))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) = multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))),
inference(subst,[],[refute_0_585:[bind(B,$fot(one)),bind(X_403,$fot(X1)),bind(X_404,$fot(X_138))]]) ).
cnf(refute_0_587,plain,
( multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) != multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1)))
| multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) != addition(X_138,domain(X1))
| multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) = addition(X_138,domain(X1)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)))),bind(Y,$fot(multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))))),bind(Z,$fot(addition(X_138,domain(X1))))]]) ).
cnf(refute_0_588,plain,
( multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))) != addition(X_138,domain(X1))
| multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) = addition(X_138,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)),multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1)))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) = addition(X_138,domain(X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(one,antidomain(X1))),addition(X_138,domain(X1))) )],[refute_0_564,refute_0_588]) ).
cnf(refute_0_590,plain,
( multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) != addition(X_138,domain(X1))
| multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) != addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1)))
| addition(X_138,domain(X1)) = addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)),addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1)))) ),[0],$fot(addition(X_138,domain(X1)))]]) ).
cnf(refute_0_591,plain,
( multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) != addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1)))
| addition(X_138,domain(X1)) = addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)),addition(X_138,domain(X1))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))) = addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1)))),
inference(subst,[],[refute_0_412:[bind(A,$fot(X_138)),bind(B,$fot(domain(X1))),bind(C,$fot(multiplication(X_138,antidomain(X1))))]]) ).
cnf(refute_0_593,plain,
( addition(X_138,domain(X1)) != addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1)))
| addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))) != addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1))))
| addition(X_138,domain(X1)) = addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_138,domain(X1)),addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1))))) ),[0],$fot(addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))))]]) ).
cnf(refute_0_594,plain,
( addition(X_138,domain(X1)) != addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1)))
| addition(X_138,domain(X1)) = addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1))),addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1))))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
( multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)) != addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1)))
| addition(X_138,domain(X1)) = addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(X_138,domain(X1)),addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1)))) )],[refute_0_591,refute_0_594]) ).
cnf(refute_0_596,plain,
addition(X_138,domain(X1)) = addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1)))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_138,domain(X1)),addition(antidomain(X1),one)),addition(addition(X_138,domain(X1)),multiplication(X_138,antidomain(X1)))) )],[refute_0_389,refute_0_595]) ).
cnf(refute_0_597,plain,
addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) = addition(X_54,addition(X_55,multiplication(X_55,antidomain(X_850)))),
inference(subst,[],[refute_0_503:[bind(A,$fot(multiplication(X_55,antidomain(X_850))))]]) ).
cnf(refute_0_598,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_599,plain,
( ~ leq(multiplication(X_534,antidomain(X_535)),X_534)
| addition(multiplication(X_534,antidomain(X_535)),X_534) = X_534 ),
inference(subst,[],[refute_0_598:[bind(A,$fot(multiplication(X_534,antidomain(X_535)))),bind(B,$fot(X_534))]]) ).
cnf(refute_0_600,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_601,plain,
( addition(X_160,addition(X_160,X_56)) != addition(X_160,X_56)
| leq(X_160,addition(X_160,X_56)) ),
inference(subst,[],[refute_0_600:[bind(A,$fot(X_160)),bind(B,$fot(addition(X_160,X_56)))]]) ).
cnf(refute_0_602,plain,
addition(X_160,addition(X_160,X_56)) = addition(X_160,X_56),
inference(subst,[],[refute_0_521:[bind(X_55,$fot(X_160))]]) ).
cnf(refute_0_603,plain,
( addition(X_160,X_56) != addition(X_160,X_56)
| addition(X_160,addition(X_160,X_56)) != addition(X_160,X_56)
| addition(X_160,addition(X_160,X_56)) = addition(X_160,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_160,addition(X_160,X_56)),addition(X_160,X_56)) ),[0,1],$fot(addition(X_160,X_56))]]) ).
cnf(refute_0_604,plain,
( addition(X_160,X_56) != addition(X_160,X_56)
| addition(X_160,addition(X_160,X_56)) = addition(X_160,X_56) ),
inference(resolve,[$cnf( $equal(addition(X_160,addition(X_160,X_56)),addition(X_160,X_56)) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
( addition(X_160,X_56) != addition(X_160,X_56)
| leq(X_160,addition(X_160,X_56)) ),
inference(resolve,[$cnf( $equal(addition(X_160,addition(X_160,X_56)),addition(X_160,X_56)) )],[refute_0_604,refute_0_601]) ).
cnf(refute_0_606,plain,
addition(X_160,X_56) = addition(X_160,X_56),
introduced(tautology,[refl,[$fot(addition(X_160,X_56))]]) ).
cnf(refute_0_607,plain,
leq(X_160,addition(X_160,X_56)),
inference(resolve,[$cnf( $equal(addition(X_160,X_56),addition(X_160,X_56)) )],[refute_0_606,refute_0_605]) ).
cnf(refute_0_608,plain,
leq(X_164,addition(X_164,X_165)),
inference(subst,[],[refute_0_607:[bind(X_160,$fot(X_164)),bind(X_56,$fot(X_165))]]) ).
cnf(refute_0_609,plain,
addition(X_165,X_164) = addition(X_164,X_165),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_165)),bind(B,$fot(X_164))]]) ).
cnf(refute_0_610,plain,
( addition(X_165,X_164) != addition(X_164,X_165)
| addition(X_164,X_165) = addition(X_165,X_164) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_165,X_164))),bind(Y,$fot(addition(X_164,X_165)))]]) ).
cnf(refute_0_611,plain,
addition(X_164,X_165) = addition(X_165,X_164),
inference(resolve,[$cnf( $equal(addition(X_165,X_164),addition(X_164,X_165)) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
( addition(X_164,X_165) != addition(X_165,X_164)
| ~ leq(X_164,addition(X_164,X_165))
| leq(X_164,addition(X_165,X_164)) ),
introduced(tautology,[equality,[$cnf( leq(X_164,addition(X_164,X_165)) ),[1],$fot(addition(X_165,X_164))]]) ).
cnf(refute_0_613,plain,
( ~ leq(X_164,addition(X_164,X_165))
| leq(X_164,addition(X_165,X_164)) ),
inference(resolve,[$cnf( $equal(addition(X_164,X_165),addition(X_165,X_164)) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
leq(X_164,addition(X_165,X_164)),
inference(resolve,[$cnf( leq(X_164,addition(X_164,X_165)) )],[refute_0_608,refute_0_613]) ).
cnf(refute_0_615,plain,
leq(multiplication(X_267,X_269),addition(multiplication(X_267,X_268),multiplication(X_267,X_269))),
inference(subst,[],[refute_0_614:[bind(X_164,$fot(multiplication(X_267,X_269))),bind(X_165,$fot(multiplication(X_267,X_268)))]]) ).
cnf(refute_0_616,plain,
( addition(multiplication(X_267,X_268),multiplication(X_267,X_269)) != multiplication(X_267,addition(X_268,X_269))
| ~ leq(multiplication(X_267,X_269),addition(multiplication(X_267,X_268),multiplication(X_267,X_269)))
| leq(multiplication(X_267,X_269),multiplication(X_267,addition(X_268,X_269))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(X_267,X_269),addition(multiplication(X_267,X_268),multiplication(X_267,X_269))) ),[1],$fot(multiplication(X_267,addition(X_268,X_269)))]]) ).
cnf(refute_0_617,plain,
( ~ leq(multiplication(X_267,X_269),addition(multiplication(X_267,X_268),multiplication(X_267,X_269)))
| leq(multiplication(X_267,X_269),multiplication(X_267,addition(X_268,X_269))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),multiplication(X_267,addition(X_268,X_269))) )],[refute_0_269,refute_0_616]) ).
cnf(refute_0_618,plain,
leq(multiplication(X_267,X_269),multiplication(X_267,addition(X_268,X_269))),
inference(resolve,[$cnf( leq(multiplication(X_267,X_269),addition(multiplication(X_267,X_268),multiplication(X_267,X_269))) )],[refute_0_615,refute_0_617]) ).
cnf(refute_0_619,plain,
leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,addition(one,antidomain(X_64)))),
inference(subst,[],[refute_0_618:[bind(X_267,$fot(X_299)),bind(X_268,$fot(one)),bind(X_269,$fot(antidomain(X_64)))]]) ).
cnf(refute_0_620,plain,
( addition(one,antidomain(X_64)) != one
| ~ leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,addition(one,antidomain(X_64))))
| leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,one)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,addition(one,antidomain(X_64)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_621,plain,
( ~ leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,addition(one,antidomain(X_64))))
| leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,one)) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_64)),one) )],[refute_0_556,refute_0_620]) ).
cnf(refute_0_622,plain,
leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,one)),
inference(resolve,[$cnf( leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,addition(one,antidomain(X_64)))) )],[refute_0_619,refute_0_621]) ).
cnf(refute_0_623,plain,
multiplication(X_299,one) = X_299,
inference(subst,[],[refute_0_160:[bind(A,$fot(X_299))]]) ).
cnf(refute_0_624,plain,
( multiplication(X_299,one) != X_299
| ~ leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,one))
| leq(multiplication(X_299,antidomain(X_64)),X_299) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,one)) ),[1],$fot(X_299)]]) ).
cnf(refute_0_625,plain,
( ~ leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,one))
| leq(multiplication(X_299,antidomain(X_64)),X_299) ),
inference(resolve,[$cnf( $equal(multiplication(X_299,one),X_299) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
leq(multiplication(X_299,antidomain(X_64)),X_299),
inference(resolve,[$cnf( leq(multiplication(X_299,antidomain(X_64)),multiplication(X_299,one)) )],[refute_0_622,refute_0_625]) ).
cnf(refute_0_627,plain,
leq(multiplication(X_534,antidomain(X_535)),X_534),
inference(subst,[],[refute_0_626:[bind(X_299,$fot(X_534)),bind(X_64,$fot(X_535))]]) ).
cnf(refute_0_628,plain,
addition(multiplication(X_534,antidomain(X_535)),X_534) = X_534,
inference(resolve,[$cnf( leq(multiplication(X_534,antidomain(X_535)),X_534) )],[refute_0_627,refute_0_599]) ).
cnf(refute_0_629,plain,
addition(multiplication(X_534,antidomain(X_535)),X_534) = addition(X_534,multiplication(X_534,antidomain(X_535))),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_534)),bind(B,$fot(multiplication(X_534,antidomain(X_535))))]]) ).
cnf(refute_0_630,plain,
( addition(multiplication(X_534,antidomain(X_535)),X_534) != X_534
| addition(multiplication(X_534,antidomain(X_535)),X_534) != addition(X_534,multiplication(X_534,antidomain(X_535)))
| addition(X_534,multiplication(X_534,antidomain(X_535))) = X_534 ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_534,antidomain(X_535)),X_534),X_534) ),[0],$fot(addition(X_534,multiplication(X_534,antidomain(X_535))))]]) ).
cnf(refute_0_631,plain,
( addition(multiplication(X_534,antidomain(X_535)),X_534) != X_534
| addition(X_534,multiplication(X_534,antidomain(X_535))) = X_534 ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_534,antidomain(X_535)),X_534),addition(X_534,multiplication(X_534,antidomain(X_535)))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
addition(X_534,multiplication(X_534,antidomain(X_535))) = X_534,
inference(resolve,[$cnf( $equal(addition(multiplication(X_534,antidomain(X_535)),X_534),X_534) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
addition(X_55,multiplication(X_55,antidomain(X_850))) = X_55,
inference(subst,[],[refute_0_632:[bind(X_534,$fot(X_55)),bind(X_535,$fot(X_850))]]) ).
cnf(refute_0_634,plain,
( addition(X_55,multiplication(X_55,antidomain(X_850))) != X_55
| addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) != addition(X_54,addition(X_55,multiplication(X_55,antidomain(X_850))))
| addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) = addition(X_54,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)),addition(X_54,addition(X_55,multiplication(X_55,antidomain(X_850))))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_635,plain,
( addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) != addition(X_54,addition(X_55,multiplication(X_55,antidomain(X_850))))
| addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) = addition(X_54,X_55) ),
inference(resolve,[$cnf( $equal(addition(X_55,multiplication(X_55,antidomain(X_850))),X_55) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) = addition(X_54,X_55),
inference(resolve,[$cnf( $equal(addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)),addition(X_54,addition(X_55,multiplication(X_55,antidomain(X_850))))) )],[refute_0_597,refute_0_635]) ).
cnf(refute_0_637,plain,
addition(X_55,X_54) = addition(X_54,X_55),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_55)),bind(B,$fot(X_54))]]) ).
cnf(refute_0_638,plain,
( addition(X_55,X_54) != addition(X_54,X_55)
| addition(X_54,X_55) = addition(X_55,X_54) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_55,X_54))),bind(Y,$fot(addition(X_54,X_55)))]]) ).
cnf(refute_0_639,plain,
addition(X_54,X_55) = addition(X_55,X_54),
inference(resolve,[$cnf( $equal(addition(X_55,X_54),addition(X_54,X_55)) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
( addition(X_54,X_55) != addition(X_55,X_54)
| addition(X_54,addition(X_55,X_56)) != addition(addition(X_54,X_55),X_56)
| addition(X_54,addition(X_55,X_56)) = addition(addition(X_55,X_54),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_54,addition(X_55,X_56)),addition(addition(X_54,X_55),X_56)) ),[1,0],$fot(addition(X_55,X_54))]]) ).
cnf(refute_0_641,plain,
( addition(X_54,addition(X_55,X_56)) != addition(addition(X_54,X_55),X_56)
| addition(X_54,addition(X_55,X_56)) = addition(addition(X_55,X_54),X_56) ),
inference(resolve,[$cnf( $equal(addition(X_54,X_55),addition(X_55,X_54)) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
addition(X_54,addition(X_55,X_56)) = addition(addition(X_55,X_54),X_56),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_55,X_56)),addition(addition(X_54,X_55),X_56)) )],[refute_0_483,refute_0_641]) ).
cnf(refute_0_643,plain,
addition(addition(X_55,X_54),X_56) = addition(X_55,addition(X_54,X_56)),
inference(subst,[],[refute_0_412:[bind(A,$fot(X_55)),bind(B,$fot(X_54)),bind(C,$fot(X_56))]]) ).
cnf(refute_0_644,plain,
( addition(X_54,addition(X_55,X_56)) != addition(addition(X_55,X_54),X_56)
| addition(addition(X_55,X_54),X_56) != addition(X_55,addition(X_54,X_56))
| addition(X_54,addition(X_55,X_56)) = addition(X_55,addition(X_54,X_56)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_54,addition(X_55,X_56)),addition(X_55,addition(X_54,X_56))) ),[0],$fot(addition(addition(X_55,X_54),X_56))]]) ).
cnf(refute_0_645,plain,
( addition(X_54,addition(X_55,X_56)) != addition(addition(X_55,X_54),X_56)
| addition(X_54,addition(X_55,X_56)) = addition(X_55,addition(X_54,X_56)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_55,X_54),X_56),addition(X_55,addition(X_54,X_56))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
addition(X_54,addition(X_55,X_56)) = addition(X_55,addition(X_54,X_56)),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_55,X_56)),addition(addition(X_55,X_54),X_56)) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
addition(X_56,addition(X_55,X_54)) = addition(X_55,addition(X_54,X_56)),
inference(subst,[],[refute_0_503:[bind(A,$fot(X_56)),bind(X_54,$fot(X_55)),bind(X_55,$fot(X_54))]]) ).
cnf(refute_0_648,plain,
( addition(X_56,addition(X_55,X_54)) != addition(X_55,addition(X_54,X_56))
| addition(X_55,addition(X_54,X_56)) = addition(X_56,addition(X_55,X_54)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_56,addition(X_55,X_54)))),bind(Y,$fot(addition(X_55,addition(X_54,X_56))))]]) ).
cnf(refute_0_649,plain,
addition(X_55,addition(X_54,X_56)) = addition(X_56,addition(X_55,X_54)),
inference(resolve,[$cnf( $equal(addition(X_56,addition(X_55,X_54)),addition(X_55,addition(X_54,X_56))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
( addition(X_54,addition(X_55,X_56)) != addition(X_55,addition(X_54,X_56))
| addition(X_55,addition(X_54,X_56)) != addition(X_56,addition(X_55,X_54))
| addition(X_54,addition(X_55,X_56)) = addition(X_56,addition(X_55,X_54)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_54,addition(X_55,X_56)),addition(X_56,addition(X_55,X_54))) ),[0],$fot(addition(X_55,addition(X_54,X_56)))]]) ).
cnf(refute_0_651,plain,
( addition(X_54,addition(X_55,X_56)) != addition(X_55,addition(X_54,X_56))
| addition(X_54,addition(X_55,X_56)) = addition(X_56,addition(X_55,X_54)) ),
inference(resolve,[$cnf( $equal(addition(X_55,addition(X_54,X_56)),addition(X_56,addition(X_55,X_54))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
addition(X_54,addition(X_55,X_56)) = addition(X_56,addition(X_55,X_54)),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_55,X_56)),addition(X_55,addition(X_54,X_56))) )],[refute_0_646,refute_0_651]) ).
cnf(refute_0_653,plain,
( addition(X_54,addition(X_55,X_56)) != addition(X_56,addition(X_55,X_54))
| addition(X_56,addition(X_55,X_54)) = addition(X_54,addition(X_55,X_56)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_54,addition(X_55,X_56)))),bind(Y,$fot(addition(X_56,addition(X_55,X_54))))]]) ).
cnf(refute_0_654,plain,
addition(X_56,addition(X_55,X_54)) = addition(X_54,addition(X_55,X_56)),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_55,X_56)),addition(X_56,addition(X_55,X_54))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) = addition(X_55,addition(X_54,multiplication(X_55,antidomain(X_850)))),
inference(subst,[],[refute_0_654:[bind(X_54,$fot(X_55)),bind(X_55,$fot(X_54)),bind(X_56,$fot(multiplication(X_55,antidomain(X_850))))]]) ).
cnf(refute_0_656,plain,
( addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) != addition(X_54,X_55)
| addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) != addition(X_55,addition(X_54,multiplication(X_55,antidomain(X_850))))
| addition(X_55,addition(X_54,multiplication(X_55,antidomain(X_850)))) = addition(X_54,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)),addition(X_54,X_55)) ),[0],$fot(addition(X_55,addition(X_54,multiplication(X_55,antidomain(X_850)))))]]) ).
cnf(refute_0_657,plain,
( addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)) != addition(X_54,X_55)
| addition(X_55,addition(X_54,multiplication(X_55,antidomain(X_850)))) = addition(X_54,X_55) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)),addition(X_55,addition(X_54,multiplication(X_55,antidomain(X_850))))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
addition(X_55,addition(X_54,multiplication(X_55,antidomain(X_850)))) = addition(X_54,X_55),
inference(resolve,[$cnf( $equal(addition(multiplication(X_55,antidomain(X_850)),addition(X_54,X_55)),addition(X_54,X_55)) )],[refute_0_636,refute_0_657]) ).
cnf(refute_0_659,plain,
addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1)))) = addition(domain(X1),X_138),
inference(subst,[],[refute_0_658:[bind(X_54,$fot(domain(X1))),bind(X_55,$fot(X_138)),bind(X_850,$fot(X1))]]) ).
cnf(refute_0_660,plain,
( addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1)))) != addition(domain(X1),X_138)
| addition(X_138,domain(X1)) != addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1))))
| addition(X_138,domain(X1)) = addition(domain(X1),X_138) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_138,domain(X1)),addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1))))) ),[1],$fot(addition(domain(X1),X_138))]]) ).
cnf(refute_0_661,plain,
( addition(X_138,domain(X1)) != addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1))))
| addition(X_138,domain(X1)) = addition(domain(X1),X_138) ),
inference(resolve,[$cnf( $equal(addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1)))),addition(domain(X1),X_138)) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
addition(X_138,domain(X1)) = addition(domain(X1),X_138),
inference(resolve,[$cnf( $equal(addition(X_138,domain(X1)),addition(X_138,addition(domain(X1),multiplication(X_138,antidomain(X1))))) )],[refute_0_596,refute_0_661]) ).
cnf(refute_0_663,plain,
( addition(X_138,domain(X1)) != addition(domain(X1),X_138)
| addition(domain(X1),X_138) = addition(X_138,domain(X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_138,domain(X1)))),bind(Y,$fot(addition(domain(X1),X_138)))]]) ).
cnf(refute_0_664,plain,
addition(domain(X1),X_138) = addition(X_138,domain(X1)),
inference(resolve,[$cnf( $equal(addition(X_138,domain(X1)),addition(domain(X1),X_138)) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
addition(domain(antidomain(domain(X_968))),antidomain(X_968)) = addition(antidomain(X_968),domain(antidomain(domain(X_968)))),
inference(subst,[],[refute_0_664:[bind(X1,$fot(antidomain(domain(X_968)))),bind(X_138,$fot(antidomain(X_968)))]]) ).
cnf(refute_0_666,plain,
antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))) = antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))),
introduced(tautology,[refl,[$fot(antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))))]]) ).
cnf(refute_0_667,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(X_968)) != addition(antidomain(X_968),domain(antidomain(domain(X_968))))
| antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))) != antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))
| antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))) = antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968))))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) ),[1,0],$fot(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))]]) ).
cnf(refute_0_668,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(X_968)) != addition(antidomain(X_968),domain(antidomain(domain(X_968))))
| antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))) = antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968))))) ),
inference(resolve,[$cnf( $equal(antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))) = antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968))))),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(X_968)),addition(antidomain(X_968),domain(antidomain(domain(X_968))))) )],[refute_0_665,refute_0_668]) ).
cnf(refute_0_670,plain,
addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) = addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))),
introduced(tautology,[refl,[$fot(addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))))]]) ).
cnf(refute_0_671,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) != addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))))
| antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))) != antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))
| addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) = addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))),addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))))) ),[1,1],$fot(antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968))))))]]) ).
cnf(refute_0_672,plain,
( antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))) != antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))
| addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) = addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))) ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))),addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) = addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))),
inference(resolve,[$cnf( $equal(antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))) )],[refute_0_669,refute_0_672]) ).
cnf(refute_0_674,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) != addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968))))))
| addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) != one
| addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))),one) ),[0],$fot(addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))))]]) ).
cnf(refute_0_675,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))) != one
| addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))),addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968))))))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
addition(domain(antidomain(domain(X_968))),antidomain(addition(antidomain(X_968),domain(antidomain(domain(X_968)))))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(addition(domain(antidomain(domain(X_968))),antidomain(X_968)))),one) )],[refute_0_385,refute_0_675]) ).
cnf(refute_0_677,plain,
addition(domain(antidomain(domain(X_990))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = one,
inference(subst,[],[refute_0_676:[bind(X_968,$fot(X_990))]]) ).
cnf(refute_0_678,plain,
( addition(domain(antidomain(domain(X_990))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != one
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(domain(antidomain(domain(X_990))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(domain(antidomain(domain(X_990))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_679,plain,
( multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(domain(antidomain(domain(X_990))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_990))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(domain(antidomain(domain(X_990))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))) )],[refute_0_311,refute_0_679]) ).
cnf(refute_0_681,plain,
multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) = domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),
inference(subst,[],[refute_0_160:[bind(A,$fot(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))))]]) ).
cnf(refute_0_682,plain,
( multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) != domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))) ),[0],$fot(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))))]]) ).
cnf(refute_0_683,plain,
( multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one),domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
multiplication(domain(X1),addition(X_268,antidomain(X1))) = addition(multiplication(domain(X1),X_268),multiplication(domain(X1),antidomain(X1))),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X1))),bind(B,$fot(X_268)),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_685,plain,
( multiplication(domain(X1),addition(X_268,antidomain(X1))) != addition(multiplication(domain(X1),X_268),multiplication(domain(X1),antidomain(X1)))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(domain(X1),addition(X_268,antidomain(X1))) = addition(multiplication(domain(X1),X_268),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(X_268,antidomain(X1))),addition(multiplication(domain(X1),X_268),multiplication(domain(X1),antidomain(X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_686,plain,
( multiplication(domain(X1),addition(X_268,antidomain(X1))) != addition(multiplication(domain(X1),X_268),multiplication(domain(X1),antidomain(X1)))
| multiplication(domain(X1),addition(X_268,antidomain(X1))) = addition(multiplication(domain(X1),X_268),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_77,refute_0_685]) ).
cnf(refute_0_687,plain,
multiplication(domain(X1),addition(X_268,antidomain(X1))) = addition(multiplication(domain(X1),X_268),zero),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(X_268,antidomain(X1))),addition(multiplication(domain(X1),X_268),multiplication(domain(X1),antidomain(X1)))) )],[refute_0_684,refute_0_686]) ).
cnf(refute_0_688,plain,
addition(multiplication(domain(X1),X_268),zero) = multiplication(domain(X1),X_268),
inference(subst,[],[refute_0_115:[bind(A,$fot(multiplication(domain(X1),X_268)))]]) ).
cnf(refute_0_689,plain,
( addition(multiplication(domain(X1),X_268),zero) != multiplication(domain(X1),X_268)
| multiplication(domain(X1),addition(X_268,antidomain(X1))) != addition(multiplication(domain(X1),X_268),zero)
| multiplication(domain(X1),addition(X_268,antidomain(X1))) = multiplication(domain(X1),X_268) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(X_268,antidomain(X1))),addition(multiplication(domain(X1),X_268),zero)) ),[1],$fot(multiplication(domain(X1),X_268))]]) ).
cnf(refute_0_690,plain,
( multiplication(domain(X1),addition(X_268,antidomain(X1))) != addition(multiplication(domain(X1),X_268),zero)
| multiplication(domain(X1),addition(X_268,antidomain(X1))) = multiplication(domain(X1),X_268) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X1),X_268),zero),multiplication(domain(X1),X_268)) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
multiplication(domain(X1),addition(X_268,antidomain(X1))) = multiplication(domain(X1),X_268),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(X_268,antidomain(X1))),addition(multiplication(domain(X1),X_268),zero)) )],[refute_0_687,refute_0_690]) ).
cnf(refute_0_692,plain,
multiplication(domain(multiplication(domain(X_770),domain(X_769))),addition(domain(X_769),antidomain(multiplication(domain(X_770),domain(X_769))))) = multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)),
inference(subst,[],[refute_0_691:[bind(X1,$fot(multiplication(domain(X_770),domain(X_769)))),bind(X_268,$fot(domain(X_769)))]]) ).
cnf(refute_0_693,plain,
addition(antidomain(multiplication(X_138,X_140)),domain(addition(multiplication(X_138,X_140),multiplication(X_139,X_140)))) = one,
inference(subst,[],[refute_0_258:[bind(X1,$fot(multiplication(X_139,X_140))),bind(X_64,$fot(multiplication(X_138,X_140)))]]) ).
cnf(refute_0_694,plain,
( addition(antidomain(multiplication(X_138,X_140)),domain(addition(multiplication(X_138,X_140),multiplication(X_139,X_140)))) != one
| addition(multiplication(X_138,X_140),multiplication(X_139,X_140)) != multiplication(addition(X_138,X_139),X_140)
| addition(antidomain(multiplication(X_138,X_140)),domain(multiplication(addition(X_138,X_139),X_140))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_138,X_140)),domain(addition(multiplication(X_138,X_140),multiplication(X_139,X_140)))),one) ),[0,1,0],$fot(multiplication(addition(X_138,X_139),X_140))]]) ).
cnf(refute_0_695,plain,
( addition(antidomain(multiplication(X_138,X_140)),domain(addition(multiplication(X_138,X_140),multiplication(X_139,X_140)))) != one
| addition(antidomain(multiplication(X_138,X_140)),domain(multiplication(addition(X_138,X_139),X_140))) = one ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_138,X_140),multiplication(X_139,X_140)),multiplication(addition(X_138,X_139),X_140)) )],[refute_0_45,refute_0_694]) ).
cnf(refute_0_696,plain,
addition(antidomain(multiplication(X_138,X_140)),domain(multiplication(addition(X_138,X_139),X_140))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_138,X_140)),domain(addition(multiplication(X_138,X_140),multiplication(X_139,X_140)))),one) )],[refute_0_693,refute_0_695]) ).
cnf(refute_0_697,plain,
addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))),X_362))) = one,
inference(subst,[],[refute_0_696:[bind(X_138,$fot(domain(X_353))),bind(X_139,$fot(antidomain(addition(X_353,domain(X_353))))),bind(X_140,$fot(X_362))]]) ).
cnf(refute_0_698,plain,
addition(domain(addition(X_353,X_353)),antidomain(addition(X_353,domain(X_353)))) = one,
inference(subst,[],[refute_0_335:[bind(X_33,$fot(X_353)),bind(X_351,$fot(X_353))]]) ).
cnf(refute_0_699,plain,
addition(X_353,X_353) = X_353,
inference(subst,[],[refute_0_106:[bind(A,$fot(X_353))]]) ).
cnf(refute_0_700,plain,
( addition(X_353,X_353) != X_353
| addition(domain(addition(X_353,X_353)),antidomain(addition(X_353,domain(X_353)))) != one
| addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(addition(X_353,X_353)),antidomain(addition(X_353,domain(X_353)))),one) ),[0,0,0],$fot(X_353)]]) ).
cnf(refute_0_701,plain,
( addition(domain(addition(X_353,X_353)),antidomain(addition(X_353,domain(X_353)))) != one
| addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))) = one ),
inference(resolve,[$cnf( $equal(addition(X_353,X_353),X_353) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(addition(X_353,X_353)),antidomain(addition(X_353,domain(X_353)))),one) )],[refute_0_698,refute_0_701]) ).
cnf(refute_0_703,plain,
( addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))),X_362))) != one
| addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))) != one
| addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))),X_362))),one) ),[0,1,0,0],$fot(one)]]) ).
cnf(refute_0_704,plain,
( addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))),X_362))) != one
| addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))),one) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(addition(domain(X_353),antidomain(addition(X_353,domain(X_353)))),X_362))),one) )],[refute_0_697,refute_0_704]) ).
cnf(refute_0_706,plain,
multiplication(one,X_362) = X_362,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_362))]]) ).
cnf(refute_0_707,plain,
domain(multiplication(one,X_362)) = domain(multiplication(one,X_362)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_362)))]]) ).
cnf(refute_0_708,plain,
( domain(multiplication(one,X_362)) != domain(multiplication(one,X_362))
| multiplication(one,X_362) != X_362
| domain(multiplication(one,X_362)) = domain(X_362) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_362)),domain(multiplication(one,X_362))) ),[1,0],$fot(X_362)]]) ).
cnf(refute_0_709,plain,
( multiplication(one,X_362) != X_362
| domain(multiplication(one,X_362)) = domain(X_362) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_362)),domain(multiplication(one,X_362))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
domain(multiplication(one,X_362)) = domain(X_362),
inference(resolve,[$cnf( $equal(multiplication(one,X_362),X_362) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))) = addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))),
introduced(tautology,[refl,[$fot(addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))))]]) ).
cnf(refute_0_712,plain,
( addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))) != addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362)))
| domain(multiplication(one,X_362)) != domain(X_362)
| addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))) = addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))),addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362)))) ),[1,0],$fot(domain(X_362))]]) ).
cnf(refute_0_713,plain,
( domain(multiplication(one,X_362)) != domain(X_362)
| addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))) = addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))) ),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))),addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362)))) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))) = addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_362)),domain(X_362)) )],[refute_0_710,refute_0_713]) ).
cnf(refute_0_715,plain,
addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) = addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))),
inference(subst,[],[refute_0_16:[bind(A,$fot(domain(multiplication(one,X_362)))),bind(B,$fot(antidomain(multiplication(domain(X_353),X_362))))]]) ).
cnf(refute_0_716,plain,
( addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) != addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362)))
| addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))) != addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362)))
| addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) = addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))))),bind(Y,$fot(addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))))),bind(Z,$fot(addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362)))))]]) ).
cnf(refute_0_717,plain,
( addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))) != addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362)))
| addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) = addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))),addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362)))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) = addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(one,X_362)),antidomain(multiplication(domain(X_353),X_362))),addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362)))) )],[refute_0_714,refute_0_717]) ).
cnf(refute_0_719,plain,
( addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) != addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362)))
| addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) != one
| addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))),one) ),[0],$fot(addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))))]]) ).
cnf(refute_0_720,plain,
( addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))) != one
| addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))),addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362)))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
addition(domain(X_362),antidomain(multiplication(domain(X_353),X_362))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X_353),X_362)),domain(multiplication(one,X_362))),one) )],[refute_0_705,refute_0_720]) ).
cnf(refute_0_722,plain,
addition(domain(domain(X_32)),antidomain(multiplication(domain(X_765),domain(X_32)))) = one,
inference(subst,[],[refute_0_721:[bind(X_353,$fot(X_765)),bind(X_362,$fot(domain(X_32)))]]) ).
cnf(refute_0_723,plain,
( addition(domain(domain(X_32)),antidomain(multiplication(domain(X_765),domain(X_32)))) != one
| domain(domain(X_32)) != domain(X_32)
| addition(domain(X_32),antidomain(multiplication(domain(X_765),domain(X_32)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(domain(X_32)),antidomain(multiplication(domain(X_765),domain(X_32)))),one) ),[0,0],$fot(domain(X_32))]]) ).
cnf(refute_0_724,plain,
( addition(domain(domain(X_32)),antidomain(multiplication(domain(X_765),domain(X_32)))) != one
| addition(domain(X_32),antidomain(multiplication(domain(X_765),domain(X_32)))) = one ),
inference(resolve,[$cnf( $equal(domain(domain(X_32)),domain(X_32)) )],[refute_0_149,refute_0_723]) ).
cnf(refute_0_725,plain,
addition(domain(X_32),antidomain(multiplication(domain(X_765),domain(X_32)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(domain(X_32)),antidomain(multiplication(domain(X_765),domain(X_32)))),one) )],[refute_0_722,refute_0_724]) ).
cnf(refute_0_726,plain,
addition(domain(X_769),antidomain(multiplication(domain(X_770),domain(X_769)))) = one,
inference(subst,[],[refute_0_725:[bind(X_32,$fot(X_769)),bind(X_765,$fot(X_770))]]) ).
cnf(refute_0_727,plain,
( addition(domain(X_769),antidomain(multiplication(domain(X_770),domain(X_769)))) != one
| multiplication(domain(multiplication(domain(X_770),domain(X_769))),addition(domain(X_769),antidomain(multiplication(domain(X_770),domain(X_769))))) != multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))
| multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) = multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_770),domain(X_769))),addition(domain(X_769),antidomain(multiplication(domain(X_770),domain(X_769))))),multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_728,plain,
( multiplication(domain(multiplication(domain(X_770),domain(X_769))),addition(domain(X_769),antidomain(multiplication(domain(X_770),domain(X_769))))) != multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))
| multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) = multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_769),antidomain(multiplication(domain(X_770),domain(X_769)))),one) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) = multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_770),domain(X_769))),addition(domain(X_769),antidomain(multiplication(domain(X_770),domain(X_769))))),multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))) )],[refute_0_692,refute_0_728]) ).
cnf(refute_0_730,plain,
( domain(multiplication(X0,X1)) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(multiplication(X0,X1)))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_731,plain,
domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,X1)),domain(multiplication(X0,domain(X1)))) )],[refute_0_75,refute_0_730]) ).
cnf(refute_0_732,plain,
domain(multiplication(domain(X_770),domain(X_769))) = domain(multiplication(domain(X_770),X_769)),
inference(subst,[],[refute_0_731:[bind(X0,$fot(domain(X_770))),bind(X1,$fot(X_769))]]) ).
cnf(refute_0_733,plain,
multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) = domain(multiplication(domain(X_770),domain(X_769))),
inference(subst,[],[refute_0_160:[bind(A,$fot(domain(multiplication(domain(X_770),domain(X_769)))))]]) ).
cnf(refute_0_734,plain,
( domain(multiplication(domain(X_770),domain(X_769))) != domain(multiplication(domain(X_770),X_769))
| multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) != domain(multiplication(domain(X_770),domain(X_769)))
| multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) = domain(multiplication(domain(X_770),X_769)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(multiplication(domain(X_770),domain(X_769))),one))),bind(Y,$fot(domain(multiplication(domain(X_770),domain(X_769))))),bind(Z,$fot(domain(multiplication(domain(X_770),X_769))))]]) ).
cnf(refute_0_735,plain,
( domain(multiplication(domain(X_770),domain(X_769))) != domain(multiplication(domain(X_770),X_769))
| multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) = domain(multiplication(domain(X_770),X_769)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_770),domain(X_769))),one),domain(multiplication(domain(X_770),domain(X_769)))) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) = domain(multiplication(domain(X_770),X_769)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_770),domain(X_769))),domain(multiplication(domain(X_770),X_769))) )],[refute_0_732,refute_0_735]) ).
cnf(refute_0_737,plain,
( multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) != domain(multiplication(domain(X_770),X_769))
| multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) != multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))
| domain(multiplication(domain(X_770),X_769)) = multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_770),domain(X_769))),one),multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))) ),[0],$fot(domain(multiplication(domain(X_770),X_769)))]]) ).
cnf(refute_0_738,plain,
( multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) != multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))
| domain(multiplication(domain(X_770),X_769)) = multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_770),domain(X_769))),one),domain(multiplication(domain(X_770),X_769))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
multiplication(domain(multiplication(domain(X0),X_688)),addition(X_688,multiplication(domain(X0),X_688))) = addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)),
inference(subst,[],[refute_0_73:[bind(X_268,$fot(X_688)),bind(X_269,$fot(multiplication(domain(X0),X_688)))]]) ).
cnf(refute_0_740,plain,
multiplication(addition(one,X_139),X_140) = addition(multiplication(one,X_140),multiplication(X_139,X_140)),
inference(subst,[],[refute_0_4:[bind(A,$fot(one)),bind(B,$fot(X_139)),bind(C,$fot(X_140))]]) ).
cnf(refute_0_741,plain,
( multiplication(addition(one,X_139),X_140) != addition(multiplication(one,X_140),multiplication(X_139,X_140))
| multiplication(one,X_140) != X_140
| multiplication(addition(one,X_139),X_140) = addition(X_140,multiplication(X_139,X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_139),X_140),addition(multiplication(one,X_140),multiplication(X_139,X_140))) ),[1,0],$fot(X_140)]]) ).
cnf(refute_0_742,plain,
( multiplication(addition(one,X_139),X_140) != addition(multiplication(one,X_140),multiplication(X_139,X_140))
| multiplication(addition(one,X_139),X_140) = addition(X_140,multiplication(X_139,X_140)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_140),X_140) )],[refute_0_7,refute_0_741]) ).
cnf(refute_0_743,plain,
multiplication(addition(one,X_139),X_140) = addition(X_140,multiplication(X_139,X_140)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_139),X_140),addition(multiplication(one,X_140),multiplication(X_139,X_140))) )],[refute_0_740,refute_0_742]) ).
cnf(refute_0_744,plain,
multiplication(addition(one,domain(X0)),X_315) = addition(X_315,multiplication(domain(X0),X_315)),
inference(subst,[],[refute_0_743:[bind(X_139,$fot(domain(X0))),bind(X_140,$fot(X_315))]]) ).
cnf(refute_0_745,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X_315) != addition(X_315,multiplication(domain(X0),X_315))
| multiplication(one,X_315) = addition(X_315,multiplication(domain(X0),X_315)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_315),addition(X_315,multiplication(domain(X0),X_315))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_746,plain,
( multiplication(addition(one,domain(X0)),X_315) != addition(X_315,multiplication(domain(X0),X_315))
| multiplication(one,X_315) = addition(X_315,multiplication(domain(X0),X_315)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_32,refute_0_745]) ).
cnf(refute_0_747,plain,
multiplication(one,X_315) = addition(X_315,multiplication(domain(X0),X_315)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_315),addition(X_315,multiplication(domain(X0),X_315))) )],[refute_0_744,refute_0_746]) ).
cnf(refute_0_748,plain,
multiplication(one,X_315) = X_315,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_315))]]) ).
cnf(refute_0_749,plain,
( multiplication(one,X_315) != X_315
| multiplication(one,X_315) != addition(X_315,multiplication(domain(X0),X_315))
| X_315 = addition(X_315,multiplication(domain(X0),X_315)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_315),addition(X_315,multiplication(domain(X0),X_315))) ),[0],$fot(X_315)]]) ).
cnf(refute_0_750,plain,
( multiplication(one,X_315) != addition(X_315,multiplication(domain(X0),X_315))
| X_315 = addition(X_315,multiplication(domain(X0),X_315)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_315),X_315) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
X_315 = addition(X_315,multiplication(domain(X0),X_315)),
inference(resolve,[$cnf( $equal(multiplication(one,X_315),addition(X_315,multiplication(domain(X0),X_315))) )],[refute_0_747,refute_0_750]) ).
cnf(refute_0_752,plain,
X_688 = addition(X_688,multiplication(domain(X0),X_688)),
inference(subst,[],[refute_0_751:[bind(X_315,$fot(X_688))]]) ).
cnf(refute_0_753,plain,
( X_688 != addition(X_688,multiplication(domain(X0),X_688))
| addition(X_688,multiplication(domain(X0),X_688)) = X_688 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_688)),bind(Y,$fot(addition(X_688,multiplication(domain(X0),X_688))))]]) ).
cnf(refute_0_754,plain,
addition(X_688,multiplication(domain(X0),X_688)) = X_688,
inference(resolve,[$cnf( $equal(X_688,addition(X_688,multiplication(domain(X0),X_688))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
( addition(X_688,multiplication(domain(X0),X_688)) != X_688
| multiplication(domain(multiplication(domain(X0),X_688)),addition(X_688,multiplication(domain(X0),X_688))) != addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688))
| multiplication(domain(multiplication(domain(X0),X_688)),X_688) = addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_688)),addition(X_688,multiplication(domain(X0),X_688))),addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688))) ),[0,1],$fot(X_688)]]) ).
cnf(refute_0_756,plain,
( multiplication(domain(multiplication(domain(X0),X_688)),addition(X_688,multiplication(domain(X0),X_688))) != addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688))
| multiplication(domain(multiplication(domain(X0),X_688)),X_688) = addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)) ),
inference(resolve,[$cnf( $equal(addition(X_688,multiplication(domain(X0),X_688)),X_688) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
multiplication(domain(multiplication(domain(X0),X_688)),X_688) = addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_688)),addition(X_688,multiplication(domain(X0),X_688))),addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688))) )],[refute_0_739,refute_0_756]) ).
cnf(refute_0_758,plain,
domain(addition(domain(X_33),multiplication(domain(X_33),X_411))) = domain(addition(X_33,multiplication(domain(X_33),X_411))),
inference(subst,[],[refute_0_327:[bind(X1,$fot(multiplication(domain(X_33),X_411)))]]) ).
cnf(refute_0_759,plain,
multiplication(domain(X_33),addition(X_411,one)) = addition(domain(X_33),multiplication(domain(X_33),X_411)),
inference(subst,[],[refute_0_168:[bind(X_267,$fot(domain(X_33))),bind(X_268,$fot(X_411))]]) ).
cnf(refute_0_760,plain,
( multiplication(domain(X_33),addition(X_411,one)) != addition(domain(X_33),multiplication(domain(X_33),X_411))
| addition(domain(X_33),multiplication(domain(X_33),X_411)) = multiplication(domain(X_33),addition(X_411,one)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(domain(X_33),addition(X_411,one)))),bind(Y,$fot(addition(domain(X_33),multiplication(domain(X_33),X_411))))]]) ).
cnf(refute_0_761,plain,
addition(domain(X_33),multiplication(domain(X_33),X_411)) = multiplication(domain(X_33),addition(X_411,one)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_33),addition(X_411,one)),addition(domain(X_33),multiplication(domain(X_33),X_411))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
( addition(domain(X_33),multiplication(domain(X_33),X_411)) != multiplication(domain(X_33),addition(X_411,one))
| domain(addition(domain(X_33),multiplication(domain(X_33),X_411))) != domain(addition(X_33,multiplication(domain(X_33),X_411)))
| domain(multiplication(domain(X_33),addition(X_411,one))) = domain(addition(X_33,multiplication(domain(X_33),X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_33),multiplication(domain(X_33),X_411))),domain(addition(X_33,multiplication(domain(X_33),X_411)))) ),[0,0],$fot(multiplication(domain(X_33),addition(X_411,one)))]]) ).
cnf(refute_0_763,plain,
( domain(addition(domain(X_33),multiplication(domain(X_33),X_411))) != domain(addition(X_33,multiplication(domain(X_33),X_411)))
| domain(multiplication(domain(X_33),addition(X_411,one))) = domain(addition(X_33,multiplication(domain(X_33),X_411))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_33),multiplication(domain(X_33),X_411)),multiplication(domain(X_33),addition(X_411,one))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
domain(multiplication(domain(X_33),addition(X_411,one))) = domain(addition(X_33,multiplication(domain(X_33),X_411))),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_33),multiplication(domain(X_33),X_411))),domain(addition(X_33,multiplication(domain(X_33),X_411)))) )],[refute_0_758,refute_0_763]) ).
cnf(refute_0_765,plain,
domain(multiplication(domain(X_33),addition(X_411,one))) = domain(domain(X_33)),
inference(subst,[],[refute_0_212:[bind(X_13,$fot(X_411)),bind(X_31,$fot(domain(X_33)))]]) ).
cnf(refute_0_766,plain,
( domain(domain(X_33)) != domain(X_33)
| domain(multiplication(domain(X_33),addition(X_411,one))) != domain(domain(X_33))
| domain(multiplication(domain(X_33),addition(X_411,one))) = domain(X_33) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(domain(multiplication(domain(X_33),addition(X_411,one))))),bind(Y,$fot(domain(domain(X_33)))),bind(Z,$fot(domain(X_33)))]]) ).
cnf(refute_0_767,plain,
( domain(domain(X_33)) != domain(X_33)
| domain(multiplication(domain(X_33),addition(X_411,one))) = domain(X_33) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_33),addition(X_411,one))),domain(domain(X_33))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
domain(multiplication(domain(X_33),addition(X_411,one))) = domain(X_33),
inference(resolve,[$cnf( $equal(domain(domain(X_33)),domain(X_33)) )],[refute_0_320,refute_0_767]) ).
cnf(refute_0_769,plain,
( domain(multiplication(domain(X_33),addition(X_411,one))) != domain(X_33)
| domain(multiplication(domain(X_33),addition(X_411,one))) != domain(addition(X_33,multiplication(domain(X_33),X_411)))
| domain(X_33) = domain(addition(X_33,multiplication(domain(X_33),X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_33),addition(X_411,one))),domain(addition(X_33,multiplication(domain(X_33),X_411)))) ),[0],$fot(domain(X_33))]]) ).
cnf(refute_0_770,plain,
( domain(multiplication(domain(X_33),addition(X_411,one))) != domain(addition(X_33,multiplication(domain(X_33),X_411)))
| domain(X_33) = domain(addition(X_33,multiplication(domain(X_33),X_411))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_33),addition(X_411,one))),domain(X_33)) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
domain(X_33) = domain(addition(X_33,multiplication(domain(X_33),X_411))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_33),addition(X_411,one))),domain(addition(X_33,multiplication(domain(X_33),X_411)))) )],[refute_0_764,refute_0_770]) ).
cnf(refute_0_772,plain,
( domain(X_33) != domain(addition(X_33,multiplication(domain(X_33),X_411)))
| domain(addition(X_33,multiplication(domain(X_33),X_411))) = domain(X_33) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(X_33))),bind(Y,$fot(domain(addition(X_33,multiplication(domain(X_33),X_411)))))]]) ).
cnf(refute_0_773,plain,
domain(addition(X_33,multiplication(domain(X_33),X_411))) = domain(X_33),
inference(resolve,[$cnf( $equal(domain(X_33),domain(addition(X_33,multiplication(domain(X_33),X_411)))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
domain(addition(X0,multiplication(domain(X0),X_688))) = domain(X0),
inference(subst,[],[refute_0_773:[bind(X_33,$fot(X0)),bind(X_411,$fot(X_688))]]) ).
cnf(refute_0_775,plain,
addition(domain(X0),domain(multiplication(domain(X0),X_688))) = domain(addition(X0,multiplication(domain(X0),X_688))),
inference(subst,[],[refute_0_88:[bind(X1,$fot(multiplication(domain(X0),X_688)))]]) ).
cnf(refute_0_776,plain,
( addition(domain(X0),domain(multiplication(domain(X0),X_688))) != domain(addition(X0,multiplication(domain(X0),X_688)))
| domain(addition(X0,multiplication(domain(X0),X_688))) != domain(X0)
| addition(domain(X0),domain(multiplication(domain(X0),X_688))) = domain(X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(domain(X0),domain(multiplication(domain(X0),X_688))))),bind(Y,$fot(domain(addition(X0,multiplication(domain(X0),X_688))))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_777,plain,
( domain(addition(X0,multiplication(domain(X0),X_688))) != domain(X0)
| addition(domain(X0),domain(multiplication(domain(X0),X_688))) = domain(X0) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(multiplication(domain(X0),X_688))),domain(addition(X0,multiplication(domain(X0),X_688)))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
addition(domain(X0),domain(multiplication(domain(X0),X_688))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(addition(X0,multiplication(domain(X0),X_688))),domain(X0)) )],[refute_0_774,refute_0_777]) ).
cnf(refute_0_779,plain,
multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688) = multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688),
introduced(tautology,[refl,[$fot(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688))]]) ).
cnf(refute_0_780,plain,
( addition(domain(X0),domain(multiplication(domain(X0),X_688))) != domain(X0)
| multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688) != multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688)
| multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688) = multiplication(domain(X0),X_688) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688),multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688)) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_781,plain,
( addition(domain(X0),domain(multiplication(domain(X0),X_688))) != domain(X0)
| multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688) = multiplication(domain(X0),X_688) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688),multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688)) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688) = multiplication(domain(X0),X_688),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(multiplication(domain(X0),X_688))),domain(X0)) )],[refute_0_778,refute_0_781]) ).
cnf(refute_0_783,plain,
addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)) = multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688),
inference(subst,[],[refute_0_50:[bind(A,$fot(domain(X0))),bind(B,$fot(domain(multiplication(domain(X0),X_688)))),bind(C,$fot(X_688))]]) ).
cnf(refute_0_784,plain,
( addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)) != multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688)
| multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688) != multiplication(domain(X0),X_688)
| addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)) = multiplication(domain(X0),X_688) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)))),bind(Y,$fot(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688))),bind(Z,$fot(multiplication(domain(X0),X_688)))]]) ).
cnf(refute_0_785,plain,
( multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688) != multiplication(domain(X0),X_688)
| addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)) = multiplication(domain(X0),X_688) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)),multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688)) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)) = multiplication(domain(X0),X_688),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_688))),X_688),multiplication(domain(X0),X_688)) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
( addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)) != multiplication(domain(X0),X_688)
| multiplication(domain(multiplication(domain(X0),X_688)),X_688) != addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688))
| multiplication(domain(multiplication(domain(X0),X_688)),X_688) = multiplication(domain(X0),X_688) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_688)),X_688),addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688))) ),[1],$fot(multiplication(domain(X0),X_688))]]) ).
cnf(refute_0_788,plain,
( multiplication(domain(multiplication(domain(X0),X_688)),X_688) != addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688))
| multiplication(domain(multiplication(domain(X0),X_688)),X_688) = multiplication(domain(X0),X_688) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688)),multiplication(domain(X0),X_688)) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
multiplication(domain(multiplication(domain(X0),X_688)),X_688) = multiplication(domain(X0),X_688),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_688)),X_688),addition(multiplication(domain(X0),X_688),multiplication(domain(multiplication(domain(X0),X_688)),X_688))) )],[refute_0_757,refute_0_788]) ).
cnf(refute_0_790,plain,
multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)) = multiplication(domain(X_770),domain(X_769)),
inference(subst,[],[refute_0_789:[bind(X0,$fot(X_770)),bind(X_688,$fot(domain(X_769)))]]) ).
cnf(refute_0_791,plain,
( domain(multiplication(domain(X_770),X_769)) != multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))
| multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)) != multiplication(domain(X_770),domain(X_769))
| domain(multiplication(domain(X_770),X_769)) = multiplication(domain(X_770),domain(X_769)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(domain(X_770),X_769)),multiplication(domain(X_770),domain(X_769))) ),[0],$fot(multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)))]]) ).
cnf(refute_0_792,plain,
( domain(multiplication(domain(X_770),X_769)) != multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))
| domain(multiplication(domain(X_770),X_769)) = multiplication(domain(X_770),domain(X_769)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769)),multiplication(domain(X_770),domain(X_769))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
( multiplication(domain(multiplication(domain(X_770),domain(X_769))),one) != multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))
| domain(multiplication(domain(X_770),X_769)) = multiplication(domain(X_770),domain(X_769)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_770),X_769)),multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))) )],[refute_0_738,refute_0_792]) ).
cnf(refute_0_794,plain,
domain(multiplication(domain(X_770),X_769)) = multiplication(domain(X_770),domain(X_769)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_770),domain(X_769))),one),multiplication(domain(multiplication(domain(X_770),domain(X_769))),domain(X_769))) )],[refute_0_729,refute_0_793]) ).
cnf(refute_0_795,plain,
( domain(multiplication(domain(X_770),X_769)) != multiplication(domain(X_770),domain(X_769))
| multiplication(domain(X_770),domain(X_769)) = domain(multiplication(domain(X_770),X_769)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(multiplication(domain(X_770),X_769)))),bind(Y,$fot(multiplication(domain(X_770),domain(X_769))))]]) ).
cnf(refute_0_796,plain,
multiplication(domain(X_770),domain(X_769)) = domain(multiplication(domain(X_770),X_769)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_770),X_769)),multiplication(domain(X_770),domain(X_769))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))) = domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))),
inference(subst,[],[refute_0_796:[bind(X_769,$fot(antidomain(domain(X_990)))),bind(X_770,$fot(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))))]]) ).
cnf(refute_0_798,plain,
addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))),
introduced(tautology,[refl,[$fot(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))))]]) ).
cnf(refute_0_799,plain,
( addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))) != domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))
| addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))) ),[1,1],$fot(domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))]]) ).
cnf(refute_0_800,plain,
( multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))) != domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))
| addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) )],[refute_0_797,refute_0_800]) ).
cnf(refute_0_802,plain,
( addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))) ),[1],$fot(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))))]]) ).
cnf(refute_0_803,plain,
( domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
( multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))) )],[refute_0_683,refute_0_803]) ).
cnf(refute_0_805,plain,
domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),one),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(X_990)))))) )],[refute_0_680,refute_0_804]) ).
cnf(refute_0_806,plain,
domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(multiplication(X0,domain(addition(X_50,antidomain(X_50))))),
inference(subst,[],[refute_0_75:[bind(X1,$fot(addition(X_50,antidomain(X_50))))]]) ).
cnf(refute_0_807,plain,
domain(addition(antidomain(X1),domain(X1))) = domain(addition(domain(X1),antidomain(X1))),
inference(subst,[],[refute_0_92:[bind(X_13,$fot(domain(X1))),bind(X_14,$fot(antidomain(X1)))]]) ).
cnf(refute_0_808,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_809,plain,
( domain(addition(antidomain(X1),domain(X1))) != domain(addition(domain(X1),antidomain(X1)))
| domain(one) = domain(addition(domain(X1),antidomain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_244,refute_0_808]) ).
cnf(refute_0_810,plain,
domain(one) = domain(addition(domain(X1),antidomain(X1))),
inference(resolve,[$cnf( $equal(domain(addition(antidomain(X1),domain(X1))),domain(addition(domain(X1),antidomain(X1)))) )],[refute_0_807,refute_0_809]) ).
cnf(refute_0_811,plain,
( domain(one) != domain(addition(domain(X1),antidomain(X1)))
| domain(one) != one
| one = domain(addition(domain(X1),antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),domain(addition(domain(X1),antidomain(X1)))) ),[0],$fot(one)]]) ).
cnf(refute_0_812,plain,
( domain(one) != domain(addition(domain(X1),antidomain(X1)))
| one = domain(addition(domain(X1),antidomain(X1))) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_190,refute_0_811]) ).
cnf(refute_0_813,plain,
domain(addition(domain(X1),antidomain(X1))) = domain(addition(X1,antidomain(X1))),
inference(subst,[],[refute_0_327:[bind(X1,$fot(antidomain(X1))),bind(X_33,$fot(X1))]]) ).
cnf(refute_0_814,plain,
( domain(addition(domain(X1),antidomain(X1))) != domain(addition(X1,antidomain(X1)))
| one != domain(addition(domain(X1),antidomain(X1)))
| one = domain(addition(X1,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,domain(addition(domain(X1),antidomain(X1)))) ),[1],$fot(domain(addition(X1,antidomain(X1))))]]) ).
cnf(refute_0_815,plain,
( one != domain(addition(domain(X1),antidomain(X1)))
| one = domain(addition(X1,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(domain(addition(domain(X1),antidomain(X1))),domain(addition(X1,antidomain(X1)))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
( domain(one) != domain(addition(domain(X1),antidomain(X1)))
| one = domain(addition(X1,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(one,domain(addition(domain(X1),antidomain(X1)))) )],[refute_0_812,refute_0_815]) ).
cnf(refute_0_817,plain,
one = domain(addition(X1,antidomain(X1))),
inference(resolve,[$cnf( $equal(domain(one),domain(addition(domain(X1),antidomain(X1)))) )],[refute_0_810,refute_0_816]) ).
cnf(refute_0_818,plain,
one = domain(addition(X_50,antidomain(X_50))),
inference(subst,[],[refute_0_817:[bind(X1,$fot(X_50))]]) ).
cnf(refute_0_819,plain,
( one != domain(addition(X_50,antidomain(X_50)))
| domain(addition(X_50,antidomain(X_50))) = one ),
inference(subst,[],[refute_0_14:[bind(X,$fot(one)),bind(Y,$fot(domain(addition(X_50,antidomain(X_50)))))]]) ).
cnf(refute_0_820,plain,
domain(addition(X_50,antidomain(X_50))) = one,
inference(resolve,[$cnf( $equal(one,domain(addition(X_50,antidomain(X_50)))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
( domain(addition(X_50,antidomain(X_50))) != one
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) != domain(multiplication(X0,domain(addition(X_50,antidomain(X_50)))))
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(multiplication(X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,addition(X_50,antidomain(X_50)))),domain(multiplication(X0,domain(addition(X_50,antidomain(X_50)))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_822,plain,
( domain(multiplication(X0,addition(X_50,antidomain(X_50)))) != domain(multiplication(X0,domain(addition(X_50,antidomain(X_50)))))
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(multiplication(X0,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_50,antidomain(X_50))),one) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(multiplication(X0,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_50,antidomain(X_50)))),domain(multiplication(X0,domain(addition(X_50,antidomain(X_50)))))) )],[refute_0_806,refute_0_822]) ).
cnf(refute_0_824,plain,
multiplication(X0,one) = X0,
inference(subst,[],[refute_0_160:[bind(A,$fot(X0))]]) ).
cnf(refute_0_825,plain,
domain(multiplication(X0,one)) = domain(multiplication(X0,one)),
introduced(tautology,[refl,[$fot(domain(multiplication(X0,one)))]]) ).
cnf(refute_0_826,plain,
( domain(multiplication(X0,one)) != domain(multiplication(X0,one))
| multiplication(X0,one) != X0
| domain(multiplication(X0,one)) = domain(X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,one)),domain(multiplication(X0,one))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_827,plain,
( multiplication(X0,one) != X0
| domain(multiplication(X0,one)) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,one)),domain(multiplication(X0,one))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
domain(multiplication(X0,one)) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(X0,one),X0) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
( domain(multiplication(X0,addition(X_50,antidomain(X_50)))) != domain(multiplication(X0,one))
| domain(multiplication(X0,one)) != domain(X0)
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X0,addition(X_50,antidomain(X_50)))),domain(X0)) ),[0],$fot(domain(multiplication(X0,one)))]]) ).
cnf(refute_0_830,plain,
( domain(multiplication(X0,addition(X_50,antidomain(X_50)))) != domain(multiplication(X0,one))
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,one)),domain(X0)) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_50,antidomain(X_50)))),domain(multiplication(X0,one))) )],[refute_0_823,refute_0_830]) ).
cnf(refute_0_832,plain,
domain(multiplication(domain(X_561),addition(antidomain(X_561),antidomain(antidomain(X_561))))) = domain(domain(X_561)),
inference(subst,[],[refute_0_831:[bind(X0,$fot(domain(X_561))),bind(X_50,$fot(antidomain(X_561)))]]) ).
cnf(refute_0_833,plain,
multiplication(domain(X1),addition(antidomain(X1),X_269)) = addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_269)),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X1))),bind(B,$fot(antidomain(X1))),bind(C,$fot(X_269))]]) ).
cnf(refute_0_834,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_269)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_269))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(domain(X1),addition(antidomain(X1),X_269)) = addition(zero,multiplication(domain(X1),X_269)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_269)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_269))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_835,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_269)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_269))
| multiplication(domain(X1),addition(antidomain(X1),X_269)) = addition(zero,multiplication(domain(X1),X_269)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_77,refute_0_834]) ).
cnf(refute_0_836,plain,
multiplication(domain(X1),addition(antidomain(X1),X_269)) = addition(zero,multiplication(domain(X1),X_269)),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_269)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_269))) )],[refute_0_833,refute_0_835]) ).
cnf(refute_0_837,plain,
addition(zero,multiplication(domain(X1),X_269)) = multiplication(domain(X1),X_269),
inference(subst,[],[refute_0_233:[bind(A,$fot(multiplication(domain(X1),X_269)))]]) ).
cnf(refute_0_838,plain,
( addition(zero,multiplication(domain(X1),X_269)) != multiplication(domain(X1),X_269)
| multiplication(domain(X1),addition(antidomain(X1),X_269)) != addition(zero,multiplication(domain(X1),X_269))
| multiplication(domain(X1),addition(antidomain(X1),X_269)) = multiplication(domain(X1),X_269) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_269)),addition(zero,multiplication(domain(X1),X_269))) ),[1],$fot(multiplication(domain(X1),X_269))]]) ).
cnf(refute_0_839,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_269)) != addition(zero,multiplication(domain(X1),X_269))
| multiplication(domain(X1),addition(antidomain(X1),X_269)) = multiplication(domain(X1),X_269) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(domain(X1),X_269)),multiplication(domain(X1),X_269)) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
multiplication(domain(X1),addition(antidomain(X1),X_269)) = multiplication(domain(X1),X_269),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_269)),addition(zero,multiplication(domain(X1),X_269))) )],[refute_0_836,refute_0_839]) ).
cnf(refute_0_841,plain,
multiplication(domain(X_561),addition(antidomain(X_561),antidomain(antidomain(X_561)))) = multiplication(domain(X_561),antidomain(antidomain(X_561))),
inference(subst,[],[refute_0_840:[bind(X1,$fot(X_561)),bind(X_269,$fot(antidomain(antidomain(X_561))))]]) ).
cnf(refute_0_842,plain,
( domain(multiplication(domain(X_561),addition(antidomain(X_561),antidomain(antidomain(X_561))))) != domain(domain(X_561))
| multiplication(domain(X_561),addition(antidomain(X_561),antidomain(antidomain(X_561)))) != multiplication(domain(X_561),antidomain(antidomain(X_561)))
| domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(domain(X_561)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_561),addition(antidomain(X_561),antidomain(antidomain(X_561))))),domain(domain(X_561))) ),[0,0],$fot(multiplication(domain(X_561),antidomain(antidomain(X_561))))]]) ).
cnf(refute_0_843,plain,
( domain(multiplication(domain(X_561),addition(antidomain(X_561),antidomain(antidomain(X_561))))) != domain(domain(X_561))
| domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(domain(X_561)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_561),addition(antidomain(X_561),antidomain(antidomain(X_561)))),multiplication(domain(X_561),antidomain(antidomain(X_561)))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(domain(X_561)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_561),addition(antidomain(X_561),antidomain(antidomain(X_561))))),domain(domain(X_561))) )],[refute_0_832,refute_0_843]) ).
cnf(refute_0_845,plain,
domain(domain(X_561)) = domain(X_561),
inference(subst,[],[refute_0_149:[bind(X_32,$fot(X_561))]]) ).
cnf(refute_0_846,plain,
( domain(domain(X_561)) != domain(X_561)
| domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) != domain(domain(X_561))
| domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(X_561) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))),domain(domain(X_561))) ),[1],$fot(domain(X_561))]]) ).
cnf(refute_0_847,plain,
( domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) != domain(domain(X_561))
| domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(X_561) ),
inference(resolve,[$cnf( $equal(domain(domain(X_561)),domain(X_561)) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(X_561),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))),domain(domain(X_561))) )],[refute_0_844,refute_0_847]) ).
cnf(refute_0_849,plain,
multiplication(addition(domain(X_966),domain(X1)),antidomain(X_966)) = multiplication(domain(X1),antidomain(X_966)),
inference(subst,[],[refute_0_237:[bind(X1,$fot(X_966)),bind(X_139,$fot(domain(X1)))]]) ).
cnf(refute_0_850,plain,
domain(addition(X_966,X1)) = addition(domain(X_966),domain(X1)),
inference(subst,[],[refute_0_80:[bind(X0,$fot(X_966))]]) ).
cnf(refute_0_851,plain,
( domain(addition(X_966,X1)) != addition(domain(X_966),domain(X1))
| addition(domain(X_966),domain(X1)) = domain(addition(X_966,X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(addition(X_966,X1)))),bind(Y,$fot(addition(domain(X_966),domain(X1))))]]) ).
cnf(refute_0_852,plain,
addition(domain(X_966),domain(X1)) = domain(addition(X_966,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_966,X1)),addition(domain(X_966),domain(X1))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
( addition(domain(X_966),domain(X1)) != domain(addition(X_966,X1))
| multiplication(addition(domain(X_966),domain(X1)),antidomain(X_966)) != multiplication(domain(X1),antidomain(X_966))
| multiplication(domain(addition(X_966,X1)),antidomain(X_966)) = multiplication(domain(X1),antidomain(X_966)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_966),domain(X1)),antidomain(X_966)),multiplication(domain(X1),antidomain(X_966))) ),[0,0],$fot(domain(addition(X_966,X1)))]]) ).
cnf(refute_0_854,plain,
( multiplication(addition(domain(X_966),domain(X1)),antidomain(X_966)) != multiplication(domain(X1),antidomain(X_966))
| multiplication(domain(addition(X_966,X1)),antidomain(X_966)) = multiplication(domain(X1),antidomain(X_966)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_966),domain(X1)),domain(addition(X_966,X1))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
multiplication(domain(addition(X_966,X1)),antidomain(X_966)) = multiplication(domain(X1),antidomain(X_966)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_966),domain(X1)),antidomain(X_966)),multiplication(domain(X1),antidomain(X_966))) )],[refute_0_849,refute_0_854]) ).
cnf(refute_0_856,plain,
multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))),
inference(subst,[],[refute_0_855:[bind(X1,$fot(domain(X1))),bind(X_966,$fot(antidomain(X1)))]]) ).
cnf(refute_0_857,plain,
( addition(antidomain(X1),domain(X1)) != one
| multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_858,plain,
( multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_244,refute_0_857]) ).
cnf(refute_0_859,plain,
multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) )],[refute_0_856,refute_0_858]) ).
cnf(refute_0_860,plain,
multiplication(one,antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(subst,[],[refute_0_6:[bind(A,$fot(antidomain(antidomain(X1))))]]) ).
cnf(refute_0_861,plain,
multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(domain(one),antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(one),antidomain(antidomain(X1))))]]) ).
cnf(refute_0_862,plain,
( domain(one) != one
| multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(domain(one),antidomain(antidomain(X1)))
| multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(one,antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(domain(one),antidomain(antidomain(X1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_863,plain,
( domain(one) != one
| multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(one,antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(domain(one),antidomain(antidomain(X1)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(one,antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_190,refute_0_863]) ).
cnf(refute_0_865,plain,
( multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(one,antidomain(antidomain(X1)))
| multiplication(one,antidomain(antidomain(X1))) != antidomain(antidomain(X1))
| multiplication(domain(one),antidomain(antidomain(X1))) = antidomain(antidomain(X1)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(one),antidomain(antidomain(X1))))),bind(Y,$fot(multiplication(one,antidomain(antidomain(X1))))),bind(Z,$fot(antidomain(antidomain(X1))))]]) ).
cnf(refute_0_866,plain,
( multiplication(one,antidomain(antidomain(X1))) != antidomain(antidomain(X1))
| multiplication(domain(one),antidomain(antidomain(X1))) = antidomain(antidomain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(one,antidomain(antidomain(X1)))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
multiplication(domain(one),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(antidomain(X1))),antidomain(antidomain(X1))) )],[refute_0_860,refute_0_866]) ).
cnf(refute_0_868,plain,
( multiplication(domain(one),antidomain(antidomain(X1))) != antidomain(antidomain(X1))
| multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) ),[0],$fot(antidomain(antidomain(X1)))]]) ).
cnf(refute_0_869,plain,
( multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),antidomain(antidomain(X1))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
multiplication(domain(domain(X1)),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X1)),antidomain(antidomain(X1))))]]) ).
cnf(refute_0_871,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| multiplication(domain(domain(X1)),antidomain(antidomain(X1))) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_872,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),antidomain(antidomain(X1))) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
multiplication(domain(domain(X1)),antidomain(antidomain(X1))) = multiplication(domain(X1),antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_150,refute_0_872]) ).
cnf(refute_0_874,plain,
( antidomain(antidomain(X1)) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| multiplication(domain(domain(X1)),antidomain(antidomain(X1))) != multiplication(domain(X1),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(antidomain(X1)),multiplication(domain(X1),antidomain(antidomain(X1)))) ),[0],$fot(multiplication(domain(domain(X1)),antidomain(antidomain(X1))))]]) ).
cnf(refute_0_875,plain,
( antidomain(antidomain(X1)) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(antidomain(X1))),multiplication(domain(X1),antidomain(antidomain(X1)))) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
( multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) )],[refute_0_869,refute_0_875]) ).
cnf(refute_0_877,plain,
antidomain(antidomain(X1)) = multiplication(domain(X1),antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) )],[refute_0_859,refute_0_876]) ).
cnf(refute_0_878,plain,
( antidomain(antidomain(X1)) != multiplication(domain(X1),antidomain(antidomain(X1)))
| multiplication(domain(X1),antidomain(antidomain(X1))) = antidomain(antidomain(X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(antidomain(antidomain(X1)))),bind(Y,$fot(multiplication(domain(X1),antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_879,plain,
multiplication(domain(X1),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),multiplication(domain(X1),antidomain(antidomain(X1)))) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
multiplication(domain(X_561),antidomain(antidomain(X_561))) = antidomain(antidomain(X_561)),
inference(subst,[],[refute_0_879:[bind(X1,$fot(X_561))]]) ).
cnf(refute_0_881,plain,
domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))))]]) ).
cnf(refute_0_882,plain,
( domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) != domain(multiplication(domain(X_561),antidomain(antidomain(X_561))))
| multiplication(domain(X_561),antidomain(antidomain(X_561))) != antidomain(antidomain(X_561))
| domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(antidomain(antidomain(X_561))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))),domain(multiplication(domain(X_561),antidomain(antidomain(X_561))))) ),[1,0],$fot(antidomain(antidomain(X_561)))]]) ).
cnf(refute_0_883,plain,
( multiplication(domain(X_561),antidomain(antidomain(X_561))) != antidomain(antidomain(X_561))
| domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(antidomain(antidomain(X_561))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))),domain(multiplication(domain(X_561),antidomain(antidomain(X_561))))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) = domain(antidomain(antidomain(X_561))),
inference(resolve,[$cnf( $equal(multiplication(domain(X_561),antidomain(antidomain(X_561))),antidomain(antidomain(X_561))) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
( domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) != domain(X_561)
| domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) != domain(antidomain(antidomain(X_561)))
| domain(antidomain(antidomain(X_561))) = domain(X_561) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))),domain(X_561)) ),[0],$fot(domain(antidomain(antidomain(X_561))))]]) ).
cnf(refute_0_886,plain,
( domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))) != domain(X_561)
| domain(antidomain(antidomain(X_561))) = domain(X_561) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))),domain(antidomain(antidomain(X_561)))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
domain(antidomain(antidomain(X_561))) = domain(X_561),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_561),antidomain(antidomain(X_561)))),domain(X_561)) )],[refute_0_848,refute_0_886]) ).
cnf(refute_0_888,plain,
domain(antidomain(antidomain(X_990))) = domain(X_990),
inference(subst,[],[refute_0_887:[bind(X_561,$fot(X_990))]]) ).
cnf(refute_0_889,plain,
multiplication(domain(antidomain(X_970)),addition(antidomain(antidomain(X_970)),domain(antidomain(domain(X_970))))) = multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))),
inference(subst,[],[refute_0_840:[bind(X1,$fot(antidomain(X_970))),bind(X_269,$fot(domain(antidomain(domain(X_970)))))]]) ).
cnf(refute_0_890,plain,
addition(domain(antidomain(domain(X_968))),antidomain(multiplication(antidomain(domain(X_968)),antidomain(X_968)))) = one,
inference(subst,[],[refute_0_296:[bind(X_467,$fot(antidomain(domain(X_968)))),bind(X_469,$fot(antidomain(X_968)))]]) ).
cnf(refute_0_891,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(multiplication(antidomain(domain(X_968)),antidomain(X_968)))) != one
| multiplication(antidomain(domain(X_968)),antidomain(X_968)) != antidomain(X_968)
| addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(multiplication(antidomain(domain(X_968)),antidomain(X_968)))),one) ),[0,1,0],$fot(antidomain(X_968))]]) ).
cnf(refute_0_892,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(multiplication(antidomain(domain(X_968)),antidomain(X_968)))) != one
| addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))) = one ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),antidomain(X_968)),antidomain(X_968)) )],[refute_0_382,refute_0_891]) ).
cnf(refute_0_893,plain,
addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(multiplication(antidomain(domain(X_968)),antidomain(X_968)))),one) )],[refute_0_890,refute_0_892]) ).
cnf(refute_0_894,plain,
addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))) = addition(antidomain(antidomain(X_968)),domain(antidomain(domain(X_968)))),
inference(subst,[],[refute_0_664:[bind(X1,$fot(antidomain(domain(X_968)))),bind(X_138,$fot(antidomain(antidomain(X_968))))]]) ).
cnf(refute_0_895,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))) != addition(antidomain(antidomain(X_968)),domain(antidomain(domain(X_968))))
| addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))) != one
| addition(antidomain(antidomain(X_968)),domain(antidomain(domain(X_968)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))),one) ),[0],$fot(addition(antidomain(antidomain(X_968)),domain(antidomain(domain(X_968)))))]]) ).
cnf(refute_0_896,plain,
( addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))) != one
| addition(antidomain(antidomain(X_968)),domain(antidomain(domain(X_968)))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))),addition(antidomain(antidomain(X_968)),domain(antidomain(domain(X_968))))) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
addition(antidomain(antidomain(X_968)),domain(antidomain(domain(X_968)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(domain(X_968))),antidomain(antidomain(X_968))),one) )],[refute_0_893,refute_0_896]) ).
cnf(refute_0_898,plain,
addition(antidomain(antidomain(X_970)),domain(antidomain(domain(X_970)))) = one,
inference(subst,[],[refute_0_897:[bind(X_968,$fot(X_970))]]) ).
cnf(refute_0_899,plain,
( addition(antidomain(antidomain(X_970)),domain(antidomain(domain(X_970)))) != one
| multiplication(domain(antidomain(X_970)),addition(antidomain(antidomain(X_970)),domain(antidomain(domain(X_970))))) != multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))
| multiplication(domain(antidomain(X_970)),one) = multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_970)),addition(antidomain(antidomain(X_970)),domain(antidomain(domain(X_970))))),multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_900,plain,
( multiplication(domain(antidomain(X_970)),addition(antidomain(antidomain(X_970)),domain(antidomain(domain(X_970))))) != multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))
| multiplication(domain(antidomain(X_970)),one) = multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_970)),domain(antidomain(domain(X_970)))),one) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
multiplication(domain(antidomain(X_970)),one) = multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_970)),addition(antidomain(antidomain(X_970)),domain(antidomain(domain(X_970))))),multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))) )],[refute_0_889,refute_0_900]) ).
cnf(refute_0_902,plain,
multiplication(domain(antidomain(X_970)),one) = domain(antidomain(X_970)),
inference(subst,[],[refute_0_160:[bind(A,$fot(domain(antidomain(X_970))))]]) ).
cnf(refute_0_903,plain,
( multiplication(domain(antidomain(X_970)),one) != domain(antidomain(X_970))
| multiplication(domain(antidomain(X_970)),one) != multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))
| domain(antidomain(X_970)) = multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_970)),one),multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))) ),[0],$fot(domain(antidomain(X_970)))]]) ).
cnf(refute_0_904,plain,
( multiplication(domain(antidomain(X_970)),one) != multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))
| domain(antidomain(X_970)) = multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_970)),one),domain(antidomain(X_970))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))) = domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))),
inference(subst,[],[refute_0_796:[bind(X_769,$fot(antidomain(domain(X_970)))),bind(X_770,$fot(antidomain(X_970)))]]) ).
cnf(refute_0_906,plain,
( domain(antidomain(X_970)) != multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))
| multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))) != domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))
| domain(antidomain(X_970)) = domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(antidomain(X_970)),domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))) ),[0],$fot(multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))))]]) ).
cnf(refute_0_907,plain,
( domain(antidomain(X_970)) != multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))
| domain(antidomain(X_970)) = domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))),domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
( multiplication(domain(antidomain(X_970)),one) != multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))
| domain(antidomain(X_970)) = domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_970)),multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))) )],[refute_0_904,refute_0_907]) ).
cnf(refute_0_909,plain,
domain(antidomain(X_970)) = domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_970)),one),multiplication(domain(antidomain(X_970)),domain(antidomain(domain(X_970))))) )],[refute_0_901,refute_0_908]) ).
cnf(refute_0_910,plain,
multiplication(domain(addition(domain(X_993),antidomain(antidomain(antidomain(X_993))))),antidomain(domain(X_993))) = multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))),
inference(subst,[],[refute_0_855:[bind(X1,$fot(antidomain(antidomain(antidomain(X_993))))),bind(X_966,$fot(domain(X_993)))]]) ).
cnf(refute_0_911,plain,
addition(antidomain(antidomain(antidomain(X_984))),domain(antidomain(antidomain(X_984)))) = one,
inference(subst,[],[refute_0_244:[bind(X1,$fot(antidomain(antidomain(X_984))))]]) ).
cnf(refute_0_912,plain,
domain(antidomain(antidomain(X_984))) = domain(X_984),
inference(subst,[],[refute_0_887:[bind(X_561,$fot(X_984))]]) ).
cnf(refute_0_913,plain,
( addition(antidomain(antidomain(antidomain(X_984))),domain(antidomain(antidomain(X_984)))) != one
| domain(antidomain(antidomain(X_984))) != domain(X_984)
| addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(antidomain(X_984))),domain(antidomain(antidomain(X_984)))),one) ),[0,1],$fot(domain(X_984))]]) ).
cnf(refute_0_914,plain,
( addition(antidomain(antidomain(antidomain(X_984))),domain(antidomain(antidomain(X_984)))) != one
| addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)) = one ),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(X_984))),domain(X_984)) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(antidomain(X_984))),domain(antidomain(antidomain(X_984)))),one) )],[refute_0_911,refute_0_914]) ).
cnf(refute_0_916,plain,
addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)) = addition(domain(X_984),antidomain(antidomain(antidomain(X_984)))),
inference(subst,[],[refute_0_662:[bind(X1,$fot(X_984)),bind(X_138,$fot(antidomain(antidomain(antidomain(X_984)))))]]) ).
cnf(refute_0_917,plain,
( addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)) != addition(domain(X_984),antidomain(antidomain(antidomain(X_984))))
| addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)) != one
| addition(domain(X_984),antidomain(antidomain(antidomain(X_984)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)),one) ),[0],$fot(addition(domain(X_984),antidomain(antidomain(antidomain(X_984)))))]]) ).
cnf(refute_0_918,plain,
( addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)) != one
| addition(domain(X_984),antidomain(antidomain(antidomain(X_984)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)),addition(domain(X_984),antidomain(antidomain(antidomain(X_984))))) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
addition(domain(X_984),antidomain(antidomain(antidomain(X_984)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(antidomain(X_984))),domain(X_984)),one) )],[refute_0_915,refute_0_918]) ).
cnf(refute_0_920,plain,
addition(domain(X_993),antidomain(antidomain(antidomain(X_993)))) = one,
inference(subst,[],[refute_0_919:[bind(X_984,$fot(X_993))]]) ).
cnf(refute_0_921,plain,
( addition(domain(X_993),antidomain(antidomain(antidomain(X_993)))) != one
| multiplication(domain(addition(domain(X_993),antidomain(antidomain(antidomain(X_993))))),antidomain(domain(X_993))) != multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))
| multiplication(domain(one),antidomain(domain(X_993))) = multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(domain(X_993),antidomain(antidomain(antidomain(X_993))))),antidomain(domain(X_993))),multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_922,plain,
( multiplication(domain(addition(domain(X_993),antidomain(antidomain(antidomain(X_993))))),antidomain(domain(X_993))) != multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))
| multiplication(domain(one),antidomain(domain(X_993))) = multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_993),antidomain(antidomain(antidomain(X_993)))),one) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
multiplication(domain(one),antidomain(domain(X_993))) = multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(domain(X_993),antidomain(antidomain(antidomain(X_993))))),antidomain(domain(X_993))),multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))) )],[refute_0_910,refute_0_922]) ).
cnf(refute_0_924,plain,
multiplication(one,antidomain(domain(X_993))) = antidomain(domain(X_993)),
inference(subst,[],[refute_0_6:[bind(A,$fot(antidomain(domain(X_993))))]]) ).
cnf(refute_0_925,plain,
multiplication(domain(one),antidomain(domain(X_993))) = multiplication(domain(one),antidomain(domain(X_993))),
introduced(tautology,[refl,[$fot(multiplication(domain(one),antidomain(domain(X_993))))]]) ).
cnf(refute_0_926,plain,
( domain(one) != one
| multiplication(domain(one),antidomain(domain(X_993))) != multiplication(domain(one),antidomain(domain(X_993)))
| multiplication(domain(one),antidomain(domain(X_993))) = multiplication(one,antidomain(domain(X_993))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(one),antidomain(domain(X_993))),multiplication(domain(one),antidomain(domain(X_993)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_927,plain,
( domain(one) != one
| multiplication(domain(one),antidomain(domain(X_993))) = multiplication(one,antidomain(domain(X_993))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(domain(X_993))),multiplication(domain(one),antidomain(domain(X_993)))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
multiplication(domain(one),antidomain(domain(X_993))) = multiplication(one,antidomain(domain(X_993))),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_190,refute_0_927]) ).
cnf(refute_0_929,plain,
( multiplication(domain(one),antidomain(domain(X_993))) != multiplication(one,antidomain(domain(X_993)))
| multiplication(one,antidomain(domain(X_993))) != antidomain(domain(X_993))
| multiplication(domain(one),antidomain(domain(X_993))) = antidomain(domain(X_993)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(one),antidomain(domain(X_993))))),bind(Y,$fot(multiplication(one,antidomain(domain(X_993))))),bind(Z,$fot(antidomain(domain(X_993))))]]) ).
cnf(refute_0_930,plain,
( multiplication(one,antidomain(domain(X_993))) != antidomain(domain(X_993))
| multiplication(domain(one),antidomain(domain(X_993))) = antidomain(domain(X_993)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(domain(X_993))),multiplication(one,antidomain(domain(X_993)))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
multiplication(domain(one),antidomain(domain(X_993))) = antidomain(domain(X_993)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(domain(X_993))),antidomain(domain(X_993))) )],[refute_0_924,refute_0_930]) ).
cnf(refute_0_932,plain,
( multiplication(domain(one),antidomain(domain(X_993))) != antidomain(domain(X_993))
| multiplication(domain(one),antidomain(domain(X_993))) != multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))
| antidomain(domain(X_993)) = multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(one),antidomain(domain(X_993))),multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))) ),[0],$fot(antidomain(domain(X_993)))]]) ).
cnf(refute_0_933,plain,
( multiplication(domain(one),antidomain(domain(X_993))) != multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))
| antidomain(domain(X_993)) = multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(domain(X_993))),antidomain(domain(X_993))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
domain(antidomain(antidomain(antidomain(X_993)))) = domain(antidomain(X_993)),
inference(subst,[],[refute_0_887:[bind(X_561,$fot(antidomain(X_993)))]]) ).
cnf(refute_0_935,plain,
multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) = multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))))]]) ).
cnf(refute_0_936,plain,
( domain(antidomain(antidomain(antidomain(X_993)))) != domain(antidomain(X_993))
| multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) != multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))
| multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) = multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))),multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))) ),[1,0],$fot(domain(antidomain(X_993)))]]) ).
cnf(refute_0_937,plain,
( domain(antidomain(antidomain(antidomain(X_993)))) != domain(antidomain(X_993))
| multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) = multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))),multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) = multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(antidomain(X_993)))),domain(antidomain(X_993))) )],[refute_0_934,refute_0_937]) ).
cnf(refute_0_939,plain,
( antidomain(domain(X_993)) != multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))
| multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))) != multiplication(domain(antidomain(X_993)),antidomain(domain(X_993)))
| antidomain(domain(X_993)) = multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(domain(X_993)),multiplication(domain(antidomain(X_993)),antidomain(domain(X_993)))) ),[0],$fot(multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))))]]) ).
cnf(refute_0_940,plain,
( antidomain(domain(X_993)) != multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))
| antidomain(domain(X_993)) = multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993))),multiplication(domain(antidomain(X_993)),antidomain(domain(X_993)))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
( multiplication(domain(one),antidomain(domain(X_993))) != multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))
| antidomain(domain(X_993)) = multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_993)),multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))) )],[refute_0_933,refute_0_940]) ).
cnf(refute_0_942,plain,
antidomain(domain(X_993)) = multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(domain(X_993))),multiplication(domain(antidomain(antidomain(antidomain(X_993)))),antidomain(domain(X_993)))) )],[refute_0_923,refute_0_941]) ).
cnf(refute_0_943,plain,
( antidomain(domain(X_993)) != multiplication(domain(antidomain(X_993)),antidomain(domain(X_993)))
| multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))) = antidomain(domain(X_993)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(antidomain(domain(X_993)))),bind(Y,$fot(multiplication(domain(antidomain(X_993)),antidomain(domain(X_993)))))]]) ).
cnf(refute_0_944,plain,
multiplication(domain(antidomain(X_993)),antidomain(domain(X_993))) = antidomain(domain(X_993)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_993)),multiplication(domain(antidomain(X_993)),antidomain(domain(X_993)))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))) = antidomain(domain(X_970)),
inference(subst,[],[refute_0_944:[bind(X_993,$fot(X_970))]]) ).
cnf(refute_0_946,plain,
domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) = domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))))]]) ).
cnf(refute_0_947,plain,
( domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) != domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))
| multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))) != antidomain(domain(X_970))
| domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) = domain(antidomain(domain(X_970))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))),domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))) ),[1,0],$fot(antidomain(domain(X_970)))]]) ).
cnf(refute_0_948,plain,
( multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))) != antidomain(domain(X_970))
| domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) = domain(antidomain(domain(X_970))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))),domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) = domain(antidomain(domain(X_970))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))),antidomain(domain(X_970))) )],[refute_0_945,refute_0_948]) ).
cnf(refute_0_950,plain,
( domain(antidomain(X_970)) != domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))
| domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))) != domain(antidomain(domain(X_970)))
| domain(antidomain(X_970)) = domain(antidomain(domain(X_970))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))) ),[0],$fot(domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))))]]) ).
cnf(refute_0_951,plain,
( domain(antidomain(X_970)) != domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))
| domain(antidomain(X_970)) = domain(antidomain(domain(X_970))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970)))),domain(antidomain(domain(X_970)))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
domain(antidomain(X_970)) = domain(antidomain(domain(X_970))),
inference(resolve,[$cnf( $equal(domain(antidomain(X_970)),domain(multiplication(domain(antidomain(X_970)),antidomain(domain(X_970))))) )],[refute_0_909,refute_0_951]) ).
cnf(refute_0_953,plain,
( domain(antidomain(X_970)) != domain(antidomain(domain(X_970)))
| domain(antidomain(domain(X_970))) = domain(antidomain(X_970)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(antidomain(X_970)))),bind(Y,$fot(domain(antidomain(domain(X_970)))))]]) ).
cnf(refute_0_954,plain,
domain(antidomain(domain(X_970))) = domain(antidomain(X_970)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_970)),domain(antidomain(domain(X_970)))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
domain(antidomain(domain(antidomain(X_990)))) = domain(antidomain(antidomain(X_990))),
inference(subst,[],[refute_0_954:[bind(X_970,$fot(antidomain(X_990)))]]) ).
cnf(refute_0_956,plain,
( domain(antidomain(antidomain(X_990))) != domain(X_990)
| domain(antidomain(domain(antidomain(X_990)))) != domain(antidomain(antidomain(X_990)))
| domain(antidomain(domain(antidomain(X_990)))) = domain(X_990) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(domain(antidomain(domain(antidomain(X_990)))))),bind(Y,$fot(domain(antidomain(antidomain(X_990))))),bind(Z,$fot(domain(X_990)))]]) ).
cnf(refute_0_957,plain,
( domain(antidomain(antidomain(X_990))) != domain(X_990)
| domain(antidomain(domain(antidomain(X_990)))) = domain(X_990) ),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(antidomain(X_990)))),domain(antidomain(antidomain(X_990)))) )],[refute_0_955,refute_0_956]) ).
cnf(refute_0_958,plain,
domain(antidomain(domain(antidomain(X_990)))) = domain(X_990),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(X_990))),domain(X_990)) )],[refute_0_888,refute_0_957]) ).
cnf(refute_0_959,plain,
( ~ leq(antidomain(X_536),domain(antidomain(X_536)))
| addition(antidomain(X_536),domain(antidomain(X_536))) = domain(antidomain(X_536)) ),
inference(subst,[],[refute_0_598:[bind(A,$fot(antidomain(X_536))),bind(B,$fot(domain(antidomain(X_536))))]]) ).
cnf(refute_0_960,plain,
leq(multiplication(domain(antidomain(X_535)),antidomain(X_535)),domain(antidomain(X_535))),
inference(subst,[],[refute_0_626:[bind(X_299,$fot(domain(antidomain(X_535)))),bind(X_64,$fot(X_535))]]) ).
cnf(refute_0_961,plain,
antidomain(X_535) = multiplication(domain(antidomain(X_535)),antidomain(X_535)),
inference(subst,[],[refute_0_63:[bind(X0,$fot(antidomain(X_535)))]]) ).
cnf(refute_0_962,plain,
( antidomain(X_535) != multiplication(domain(antidomain(X_535)),antidomain(X_535))
| multiplication(domain(antidomain(X_535)),antidomain(X_535)) = antidomain(X_535) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(antidomain(X_535))),bind(Y,$fot(multiplication(domain(antidomain(X_535)),antidomain(X_535))))]]) ).
cnf(refute_0_963,plain,
multiplication(domain(antidomain(X_535)),antidomain(X_535)) = antidomain(X_535),
inference(resolve,[$cnf( $equal(antidomain(X_535),multiplication(domain(antidomain(X_535)),antidomain(X_535))) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
( multiplication(domain(antidomain(X_535)),antidomain(X_535)) != antidomain(X_535)
| ~ leq(multiplication(domain(antidomain(X_535)),antidomain(X_535)),domain(antidomain(X_535)))
| leq(antidomain(X_535),domain(antidomain(X_535))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(domain(antidomain(X_535)),antidomain(X_535)),domain(antidomain(X_535))) ),[0],$fot(antidomain(X_535))]]) ).
cnf(refute_0_965,plain,
( ~ leq(multiplication(domain(antidomain(X_535)),antidomain(X_535)),domain(antidomain(X_535)))
| leq(antidomain(X_535),domain(antidomain(X_535))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_535)),antidomain(X_535)),antidomain(X_535)) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
leq(antidomain(X_535),domain(antidomain(X_535))),
inference(resolve,[$cnf( leq(multiplication(domain(antidomain(X_535)),antidomain(X_535)),domain(antidomain(X_535))) )],[refute_0_960,refute_0_965]) ).
cnf(refute_0_967,plain,
leq(antidomain(X_536),domain(antidomain(X_536))),
inference(subst,[],[refute_0_966:[bind(X_535,$fot(X_536))]]) ).
cnf(refute_0_968,plain,
addition(antidomain(X_536),domain(antidomain(X_536))) = domain(antidomain(X_536)),
inference(resolve,[$cnf( leq(antidomain(X_536),domain(antidomain(X_536))) )],[refute_0_967,refute_0_959]) ).
cnf(refute_0_969,plain,
addition(antidomain(X_990),domain(antidomain(X_990))) = domain(antidomain(X_990)),
inference(subst,[],[refute_0_968:[bind(X_536,$fot(X_990))]]) ).
cnf(refute_0_970,plain,
domain(antidomain(domain(X_990))) = domain(antidomain(X_990)),
inference(subst,[],[refute_0_954:[bind(X_970,$fot(X_990))]]) ).
cnf(refute_0_971,plain,
addition(antidomain(X_990),domain(antidomain(domain(X_990)))) = addition(antidomain(X_990),domain(antidomain(domain(X_990)))),
introduced(tautology,[refl,[$fot(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))]]) ).
cnf(refute_0_972,plain,
( addition(antidomain(X_990),domain(antidomain(domain(X_990)))) != addition(antidomain(X_990),domain(antidomain(domain(X_990))))
| domain(antidomain(domain(X_990))) != domain(antidomain(X_990))
| addition(antidomain(X_990),domain(antidomain(domain(X_990)))) = addition(antidomain(X_990),domain(antidomain(X_990))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_990),domain(antidomain(domain(X_990)))),addition(antidomain(X_990),domain(antidomain(domain(X_990))))) ),[1,1],$fot(domain(antidomain(X_990)))]]) ).
cnf(refute_0_973,plain,
( domain(antidomain(domain(X_990))) != domain(antidomain(X_990))
| addition(antidomain(X_990),domain(antidomain(domain(X_990)))) = addition(antidomain(X_990),domain(antidomain(X_990))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_990),domain(antidomain(domain(X_990)))),addition(antidomain(X_990),domain(antidomain(domain(X_990))))) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
addition(antidomain(X_990),domain(antidomain(domain(X_990)))) = addition(antidomain(X_990),domain(antidomain(X_990))),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_990))),domain(antidomain(X_990))) )],[refute_0_970,refute_0_973]) ).
cnf(refute_0_975,plain,
( addition(antidomain(X_990),domain(antidomain(X_990))) != domain(antidomain(X_990))
| addition(antidomain(X_990),domain(antidomain(domain(X_990)))) != addition(antidomain(X_990),domain(antidomain(X_990)))
| addition(antidomain(X_990),domain(antidomain(domain(X_990)))) = domain(antidomain(X_990)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),bind(Y,$fot(addition(antidomain(X_990),domain(antidomain(X_990))))),bind(Z,$fot(domain(antidomain(X_990))))]]) ).
cnf(refute_0_976,plain,
( addition(antidomain(X_990),domain(antidomain(X_990))) != domain(antidomain(X_990))
| addition(antidomain(X_990),domain(antidomain(domain(X_990)))) = domain(antidomain(X_990)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_990),domain(antidomain(domain(X_990)))),addition(antidomain(X_990),domain(antidomain(X_990)))) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
addition(antidomain(X_990),domain(antidomain(domain(X_990)))) = domain(antidomain(X_990)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_990),domain(antidomain(X_990))),domain(antidomain(X_990))) )],[refute_0_969,refute_0_976]) ).
cnf(refute_0_978,plain,
antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) = antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),
introduced(tautology,[refl,[$fot(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))]]) ).
cnf(refute_0_979,plain,
( addition(antidomain(X_990),domain(antidomain(domain(X_990)))) != domain(antidomain(X_990))
| antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) != antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))
| antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) = antidomain(domain(antidomain(X_990))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) ),[1,0],$fot(domain(antidomain(X_990)))]]) ).
cnf(refute_0_980,plain,
( addition(antidomain(X_990),domain(antidomain(domain(X_990)))) != domain(antidomain(X_990))
| antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) = antidomain(domain(antidomain(X_990))) ),
inference(resolve,[$cnf( $equal(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) = antidomain(domain(antidomain(X_990))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_990),domain(antidomain(domain(X_990)))),domain(antidomain(X_990))) )],[refute_0_977,refute_0_980]) ).
cnf(refute_0_982,plain,
domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),
introduced(tautology,[refl,[$fot(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))))]]) ).
cnf(refute_0_983,plain,
( antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) != antidomain(domain(antidomain(X_990)))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = domain(antidomain(domain(antidomain(X_990)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))) ),[1,0],$fot(antidomain(domain(antidomain(X_990))))]]) ).
cnf(refute_0_984,plain,
( antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) != antidomain(domain(antidomain(X_990)))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = domain(antidomain(domain(antidomain(X_990)))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = domain(antidomain(domain(antidomain(X_990)))),
inference(resolve,[$cnf( $equal(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),antidomain(domain(antidomain(X_990)))) )],[refute_0_981,refute_0_984]) ).
cnf(refute_0_986,plain,
( domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != domain(antidomain(domain(antidomain(X_990))))
| domain(antidomain(domain(antidomain(X_990)))) != domain(X_990)
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = domain(X_990) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))))),bind(Y,$fot(domain(antidomain(domain(antidomain(X_990)))))),bind(Z,$fot(domain(X_990)))]]) ).
cnf(refute_0_987,plain,
( domain(antidomain(domain(antidomain(X_990)))) != domain(X_990)
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = domain(X_990) ),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(antidomain(domain(antidomain(X_990))))) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) = domain(X_990),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(antidomain(X_990)))),domain(X_990)) )],[refute_0_958,refute_0_987]) ).
cnf(refute_0_989,plain,
( domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != domain(X_990)
| domain(X_990) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) ),[0],$fot(domain(X_990))]]) ).
cnf(refute_0_990,plain,
( domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| domain(X_990) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(X_990)) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
addition(zero,antidomain(domain(antidomain(X_990)))) = antidomain(domain(antidomain(X_990))),
inference(subst,[],[refute_0_233:[bind(A,$fot(antidomain(domain(antidomain(X_990)))))]]) ).
cnf(refute_0_992,plain,
multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) = addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),addition(X_270,antidomain(domain(X_271))))),
inference(subst,[],[refute_0_20:[bind(X_138,$fot(domain(X_271))),bind(X_140,$fot(addition(X_270,antidomain(domain(X_271)))))]]) ).
cnf(refute_0_993,plain,
multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) = addition(multiplication(domain(X_33),X_268),multiplication(domain(X_33),antidomain(domain(X_33)))),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X_33))),bind(B,$fot(X_268)),bind(C,$fot(antidomain(domain(X_33))))]]) ).
cnf(refute_0_994,plain,
multiplication(domain(domain(X_33)),antidomain(domain(X_33))) = zero,
inference(subst,[],[refute_0_77:[bind(X1,$fot(domain(X_33)))]]) ).
cnf(refute_0_995,plain,
( domain(domain(X_33)) != domain(X_33)
| multiplication(domain(domain(X_33)),antidomain(domain(X_33))) != zero
| multiplication(domain(X_33),antidomain(domain(X_33))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_33)),antidomain(domain(X_33))),zero) ),[0,0],$fot(domain(X_33))]]) ).
cnf(refute_0_996,plain,
( multiplication(domain(domain(X_33)),antidomain(domain(X_33))) != zero
| multiplication(domain(X_33),antidomain(domain(X_33))) = zero ),
inference(resolve,[$cnf( $equal(domain(domain(X_33)),domain(X_33)) )],[refute_0_320,refute_0_995]) ).
cnf(refute_0_997,plain,
multiplication(domain(X_33),antidomain(domain(X_33))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_33)),antidomain(domain(X_33))),zero) )],[refute_0_994,refute_0_996]) ).
cnf(refute_0_998,plain,
( multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) != addition(multiplication(domain(X_33),X_268),multiplication(domain(X_33),antidomain(domain(X_33))))
| multiplication(domain(X_33),antidomain(domain(X_33))) != zero
| multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) = addition(multiplication(domain(X_33),X_268),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))),addition(multiplication(domain(X_33),X_268),multiplication(domain(X_33),antidomain(domain(X_33))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_999,plain,
( multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) != addition(multiplication(domain(X_33),X_268),multiplication(domain(X_33),antidomain(domain(X_33))))
| multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) = addition(multiplication(domain(X_33),X_268),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_33),antidomain(domain(X_33))),zero) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) = addition(multiplication(domain(X_33),X_268),zero),
inference(resolve,[$cnf( $equal(multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))),addition(multiplication(domain(X_33),X_268),multiplication(domain(X_33),antidomain(domain(X_33))))) )],[refute_0_993,refute_0_999]) ).
cnf(refute_0_1001,plain,
addition(multiplication(domain(X_33),X_268),zero) = multiplication(domain(X_33),X_268),
inference(subst,[],[refute_0_115:[bind(A,$fot(multiplication(domain(X_33),X_268)))]]) ).
cnf(refute_0_1002,plain,
( addition(multiplication(domain(X_33),X_268),zero) != multiplication(domain(X_33),X_268)
| multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) != addition(multiplication(domain(X_33),X_268),zero)
| multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) = multiplication(domain(X_33),X_268) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))),addition(multiplication(domain(X_33),X_268),zero)) ),[1],$fot(multiplication(domain(X_33),X_268))]]) ).
cnf(refute_0_1003,plain,
( multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) != addition(multiplication(domain(X_33),X_268),zero)
| multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) = multiplication(domain(X_33),X_268) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_33),X_268),zero),multiplication(domain(X_33),X_268)) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))) = multiplication(domain(X_33),X_268),
inference(resolve,[$cnf( $equal(multiplication(domain(X_33),addition(X_268,antidomain(domain(X_33)))),addition(multiplication(domain(X_33),X_268),zero)) )],[refute_0_1000,refute_0_1003]) ).
cnf(refute_0_1005,plain,
multiplication(domain(X_271),addition(X_270,antidomain(domain(X_271)))) = multiplication(domain(X_271),X_270),
inference(subst,[],[refute_0_1004:[bind(X_268,$fot(X_270)),bind(X_33,$fot(X_271))]]) ).
cnf(refute_0_1006,plain,
( multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) != addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),addition(X_270,antidomain(domain(X_271)))))
| multiplication(domain(X_271),addition(X_270,antidomain(domain(X_271)))) != multiplication(domain(X_271),X_270)
| multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) = addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))),addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),addition(X_270,antidomain(domain(X_271)))))) ),[1,1],$fot(multiplication(domain(X_271),X_270))]]) ).
cnf(refute_0_1007,plain,
( multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) != addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),addition(X_270,antidomain(domain(X_271)))))
| multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) = addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_271),addition(X_270,antidomain(domain(X_271)))),multiplication(domain(X_271),X_270)) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) = addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))),addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),addition(X_270,antidomain(domain(X_271)))))) )],[refute_0_992,refute_0_1007]) ).
cnf(refute_0_1009,plain,
multiplication(one,addition(X_270,antidomain(domain(X_271)))) = addition(X_270,antidomain(domain(X_271))),
inference(subst,[],[refute_0_6:[bind(A,$fot(addition(X_270,antidomain(domain(X_271)))))]]) ).
cnf(refute_0_1010,plain,
addition(one,domain(X_271)) = one,
inference(subst,[],[refute_0_32:[bind(X0,$fot(X_271))]]) ).
cnf(refute_0_1011,plain,
multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) = multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))))]]) ).
cnf(refute_0_1012,plain,
( addition(one,domain(X_271)) != one
| multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) != multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271))))
| multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) = multiplication(one,addition(X_270,antidomain(domain(X_271)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))),multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1013,plain,
( addition(one,domain(X_271)) != one
| multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) = multiplication(one,addition(X_270,antidomain(domain(X_271)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))),multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271))))) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) = multiplication(one,addition(X_270,antidomain(domain(X_271)))),
inference(resolve,[$cnf( $equal(addition(one,domain(X_271)),one) )],[refute_0_1010,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) != multiplication(one,addition(X_270,antidomain(domain(X_271))))
| multiplication(one,addition(X_270,antidomain(domain(X_271)))) != addition(X_270,antidomain(domain(X_271)))
| multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) = addition(X_270,antidomain(domain(X_271))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))))),bind(Y,$fot(multiplication(one,addition(X_270,antidomain(domain(X_271)))))),bind(Z,$fot(addition(X_270,antidomain(domain(X_271)))))]]) ).
cnf(refute_0_1016,plain,
( multiplication(one,addition(X_270,antidomain(domain(X_271)))) != addition(X_270,antidomain(domain(X_271)))
| multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) = addition(X_270,antidomain(domain(X_271))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))),multiplication(one,addition(X_270,antidomain(domain(X_271))))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) = addition(X_270,antidomain(domain(X_271))),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_270,antidomain(domain(X_271)))),addition(X_270,antidomain(domain(X_271)))) )],[refute_0_1009,refute_0_1016]) ).
cnf(refute_0_1018,plain,
multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) = multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))),
inference(subst,[],[refute_0_56:[bind(X_138,$fot(domain(X_271))),bind(X_139,$fot(one)),bind(X_140,$fot(addition(X_270,antidomain(domain(X_271)))))]]) ).
cnf(refute_0_1019,plain,
( multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) != multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271))))
| multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) != addition(X_270,antidomain(domain(X_271)))
| multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) = addition(X_270,antidomain(domain(X_271))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))))),bind(Y,$fot(multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))))),bind(Z,$fot(addition(X_270,antidomain(domain(X_271)))))]]) ).
cnf(refute_0_1020,plain,
( multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))) != addition(X_270,antidomain(domain(X_271)))
| multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) = addition(X_270,antidomain(domain(X_271))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))),multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271))))) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) = addition(X_270,antidomain(domain(X_271))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_271)),addition(X_270,antidomain(domain(X_271)))),addition(X_270,antidomain(domain(X_271)))) )],[refute_0_1017,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) != addition(X_270,antidomain(domain(X_271)))
| multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) != addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270))
| addition(X_270,antidomain(domain(X_271))) = addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))),addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270))) ),[0],$fot(addition(X_270,antidomain(domain(X_271))))]]) ).
cnf(refute_0_1023,plain,
( multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) != addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270))
| addition(X_270,antidomain(domain(X_271))) = addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))),addition(X_270,antidomain(domain(X_271)))) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)) = addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270))),
inference(subst,[],[refute_0_412:[bind(A,$fot(X_270)),bind(B,$fot(antidomain(domain(X_271)))),bind(C,$fot(multiplication(domain(X_271),X_270)))]]) ).
cnf(refute_0_1025,plain,
( addition(X_270,antidomain(domain(X_271))) != addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270))
| addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)) != addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270)))
| addition(X_270,antidomain(domain(X_271))) = addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_270,antidomain(domain(X_271))),addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270)))) ),[0],$fot(addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)))]]) ).
cnf(refute_0_1026,plain,
( addition(X_270,antidomain(domain(X_271))) != addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270))
| addition(X_270,antidomain(domain(X_271))) = addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270)),addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270)))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))) != addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270))
| addition(X_270,antidomain(domain(X_271))) = addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270))) ),
inference(resolve,[$cnf( $equal(addition(X_270,antidomain(domain(X_271))),addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270))) )],[refute_0_1023,refute_0_1026]) ).
cnf(refute_0_1028,plain,
addition(X_270,antidomain(domain(X_271))) = addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_271),one),addition(X_270,antidomain(domain(X_271)))),addition(addition(X_270,antidomain(domain(X_271))),multiplication(domain(X_271),X_270))) )],[refute_0_1008,refute_0_1027]) ).
cnf(refute_0_1029,plain,
addition(X_54,addition(X_55,multiplication(domain(X_551),X_54))) = addition(X_55,addition(X_54,multiplication(domain(X_551),X_54))),
inference(subst,[],[refute_0_646:[bind(X_56,$fot(multiplication(domain(X_551),X_54)))]]) ).
cnf(refute_0_1030,plain,
X_54 = addition(X_54,multiplication(domain(X_551),X_54)),
inference(subst,[],[refute_0_751:[bind(X0,$fot(X_551)),bind(X_315,$fot(X_54))]]) ).
cnf(refute_0_1031,plain,
( X_54 != addition(X_54,multiplication(domain(X_551),X_54))
| addition(X_54,multiplication(domain(X_551),X_54)) = X_54 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_54)),bind(Y,$fot(addition(X_54,multiplication(domain(X_551),X_54))))]]) ).
cnf(refute_0_1032,plain,
addition(X_54,multiplication(domain(X_551),X_54)) = X_54,
inference(resolve,[$cnf( $equal(X_54,addition(X_54,multiplication(domain(X_551),X_54))) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
( addition(X_54,addition(X_55,multiplication(domain(X_551),X_54))) != addition(X_55,addition(X_54,multiplication(domain(X_551),X_54)))
| addition(X_54,multiplication(domain(X_551),X_54)) != X_54
| addition(X_54,addition(X_55,multiplication(domain(X_551),X_54))) = addition(X_55,X_54) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_54,addition(X_55,multiplication(domain(X_551),X_54))),addition(X_55,addition(X_54,multiplication(domain(X_551),X_54)))) ),[1,1],$fot(X_54)]]) ).
cnf(refute_0_1034,plain,
( addition(X_54,addition(X_55,multiplication(domain(X_551),X_54))) != addition(X_55,addition(X_54,multiplication(domain(X_551),X_54)))
| addition(X_54,addition(X_55,multiplication(domain(X_551),X_54))) = addition(X_55,X_54) ),
inference(resolve,[$cnf( $equal(addition(X_54,multiplication(domain(X_551),X_54)),X_54) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
addition(X_54,addition(X_55,multiplication(domain(X_551),X_54))) = addition(X_55,X_54),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_55,multiplication(domain(X_551),X_54))),addition(X_55,addition(X_54,multiplication(domain(X_551),X_54)))) )],[refute_0_1029,refute_0_1034]) ).
cnf(refute_0_1036,plain,
addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270))) = addition(antidomain(domain(X_271)),X_270),
inference(subst,[],[refute_0_1035:[bind(X_54,$fot(X_270)),bind(X_55,$fot(antidomain(domain(X_271)))),bind(X_551,$fot(X_271))]]) ).
cnf(refute_0_1037,plain,
( addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270))) != addition(antidomain(domain(X_271)),X_270)
| addition(X_270,antidomain(domain(X_271))) != addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270)))
| addition(X_270,antidomain(domain(X_271))) = addition(antidomain(domain(X_271)),X_270) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_270,antidomain(domain(X_271))),addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270)))) ),[1],$fot(addition(antidomain(domain(X_271)),X_270))]]) ).
cnf(refute_0_1038,plain,
( addition(X_270,antidomain(domain(X_271))) != addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270)))
| addition(X_270,antidomain(domain(X_271))) = addition(antidomain(domain(X_271)),X_270) ),
inference(resolve,[$cnf( $equal(addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270))),addition(antidomain(domain(X_271)),X_270)) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
addition(X_270,antidomain(domain(X_271))) = addition(antidomain(domain(X_271)),X_270),
inference(resolve,[$cnf( $equal(addition(X_270,antidomain(domain(X_271))),addition(X_270,addition(antidomain(domain(X_271)),multiplication(domain(X_271),X_270)))) )],[refute_0_1028,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( addition(X_270,antidomain(domain(X_271))) != addition(antidomain(domain(X_271)),X_270)
| addition(antidomain(domain(X_271)),X_270) = addition(X_270,antidomain(domain(X_271))) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_270,antidomain(domain(X_271))))),bind(Y,$fot(addition(antidomain(domain(X_271)),X_270)))]]) ).
cnf(refute_0_1041,plain,
addition(antidomain(domain(X_271)),X_270) = addition(X_270,antidomain(domain(X_271))),
inference(resolve,[$cnf( $equal(addition(X_270,antidomain(domain(X_271))),addition(antidomain(domain(X_271)),X_270)) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
addition(antidomain(domain(antidomain(X_990))),zero) = addition(zero,antidomain(domain(antidomain(X_990)))),
inference(subst,[],[refute_0_1041:[bind(X_270,$fot(zero)),bind(X_271,$fot(antidomain(X_990)))]]) ).
cnf(refute_0_1043,plain,
( addition(antidomain(domain(antidomain(X_990))),zero) != addition(zero,antidomain(domain(antidomain(X_990))))
| addition(zero,antidomain(domain(antidomain(X_990)))) != antidomain(domain(antidomain(X_990)))
| addition(antidomain(domain(antidomain(X_990))),zero) = antidomain(domain(antidomain(X_990))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(domain(antidomain(X_990))),zero))),bind(Y,$fot(addition(zero,antidomain(domain(antidomain(X_990)))))),bind(Z,$fot(antidomain(domain(antidomain(X_990)))))]]) ).
cnf(refute_0_1044,plain,
( addition(zero,antidomain(domain(antidomain(X_990)))) != antidomain(domain(antidomain(X_990)))
| addition(antidomain(domain(antidomain(X_990))),zero) = antidomain(domain(antidomain(X_990))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(antidomain(X_990))),zero),addition(zero,antidomain(domain(antidomain(X_990))))) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
addition(antidomain(domain(antidomain(X_990))),zero) = antidomain(domain(antidomain(X_990))),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(domain(antidomain(X_990)))),antidomain(domain(antidomain(X_990)))) )],[refute_0_991,refute_0_1044]) ).
cnf(refute_0_1046,plain,
domain(zero) = zero,
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_1047,plain,
multiplication(domain(X_990),antidomain(domain(X_990))) = zero,
inference(subst,[],[refute_0_997:[bind(X_33,$fot(X_990))]]) ).
cnf(refute_0_1048,plain,
multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) = multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))]]) ).
cnf(refute_0_1049,plain,
( domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != domain(X_990)
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) != multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) = multiplication(domain(X_990),antidomain(domain(X_990))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) ),[1,0],$fot(domain(X_990))]]) ).
cnf(refute_0_1050,plain,
( domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != domain(X_990)
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) = multiplication(domain(X_990),antidomain(domain(X_990))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))),multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) = multiplication(domain(X_990),antidomain(domain(X_990))),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),domain(X_990)) )],[refute_0_988,refute_0_1050]) ).
cnf(refute_0_1052,plain,
( multiplication(domain(X_990),antidomain(domain(X_990))) != zero
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) != multiplication(domain(X_990),antidomain(domain(X_990)))
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),bind(Y,$fot(multiplication(domain(X_990),antidomain(domain(X_990))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1053,plain,
( multiplication(domain(X_990),antidomain(domain(X_990))) != zero
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))),multiplication(domain(X_990),antidomain(domain(X_990)))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(X_990),antidomain(domain(X_990))),zero) )],[refute_0_1047,refute_0_1053]) ).
cnf(refute_0_1055,plain,
domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) = domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))]]) ).
cnf(refute_0_1056,plain,
( domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) != domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))
| multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) != zero
| domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1057,plain,
( multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))) != zero
| domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) = domain(zero) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) )],[refute_0_1055,refute_0_1056]) ).
cnf(refute_0_1058,plain,
domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) = domain(zero),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))),zero) )],[refute_0_1054,refute_0_1057]) ).
cnf(refute_0_1059,plain,
( domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) != domain(zero)
| domain(zero) != zero
| domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))),bind(Y,$fot(domain(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1060,plain,
( domain(zero) != zero
| domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))),domain(zero)) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) = zero,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_1046,refute_0_1060]) ).
cnf(refute_0_1062,plain,
addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))))]]) ).
cnf(refute_0_1063,plain,
( addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) != addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) != zero
| addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1064,plain,
( domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))) != zero
| addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),zero),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))),zero) )],[refute_0_1061,refute_0_1064]) ).
cnf(refute_0_1066,plain,
addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),
introduced(tautology,[refl,[$fot(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))))]]) ).
cnf(refute_0_1067,plain,
( addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) != antidomain(domain(antidomain(X_990)))
| addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) ),[1,0],$fot(antidomain(domain(antidomain(X_990))))]]) ).
cnf(refute_0_1068,plain,
( antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))) != antidomain(domain(antidomain(X_990)))
| addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) )],[refute_0_1066,refute_0_1067]) ).
cnf(refute_0_1069,plain,
addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),
inference(resolve,[$cnf( $equal(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),antidomain(domain(antidomain(X_990)))) )],[refute_0_981,refute_0_1068]) ).
cnf(refute_0_1070,plain,
( addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) != addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) != addition(antidomain(domain(antidomain(X_990))),zero)
| addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),zero) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))))),bind(Y,$fot(addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))))),bind(Z,$fot(addition(antidomain(domain(antidomain(X_990))),zero)))]]) ).
cnf(refute_0_1071,plain,
( addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) != addition(antidomain(domain(antidomain(X_990))),zero)
| addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = addition(antidomain(domain(antidomain(X_990))),zero),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(antidomain(X_990))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),addition(antidomain(domain(antidomain(X_990))),zero)) )],[refute_0_1065,refute_0_1071]) ).
cnf(refute_0_1073,plain,
( addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) != addition(antidomain(domain(antidomain(X_990))),zero)
| addition(antidomain(domain(antidomain(X_990))),zero) != antidomain(domain(antidomain(X_990)))
| addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = antidomain(domain(antidomain(X_990))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))))),bind(Y,$fot(addition(antidomain(domain(antidomain(X_990))),zero))),bind(Z,$fot(antidomain(domain(antidomain(X_990)))))]]) ).
cnf(refute_0_1074,plain,
( addition(antidomain(domain(antidomain(X_990))),zero) != antidomain(domain(antidomain(X_990)))
| addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = antidomain(domain(antidomain(X_990))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),addition(antidomain(domain(antidomain(X_990))),zero)) )],[refute_0_1072,refute_0_1073]) ).
cnf(refute_0_1075,plain,
addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) = antidomain(domain(antidomain(X_990))),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(antidomain(X_990))),zero),antidomain(domain(antidomain(X_990)))) )],[refute_0_1045,refute_0_1074]) ).
cnf(refute_0_1076,plain,
( addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))) != antidomain(domain(antidomain(X_990)))
| domain(X_990) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| domain(X_990) = antidomain(domain(antidomain(X_990))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(X_990),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) ),[1],$fot(antidomain(domain(antidomain(X_990))))]]) ).
cnf(refute_0_1077,plain,
( domain(X_990) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| domain(X_990) = antidomain(domain(antidomain(X_990))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990))))),antidomain(domain(antidomain(X_990)))) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))) != addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))
| domain(X_990) = antidomain(domain(antidomain(X_990))) ),
inference(resolve,[$cnf( $equal(domain(X_990),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) )],[refute_0_990,refute_0_1077]) ).
cnf(refute_0_1079,plain,
domain(X_990) = antidomain(domain(antidomain(X_990))),
inference(resolve,[$cnf( $equal(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),addition(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990))))),domain(multiplication(domain(antidomain(addition(antidomain(X_990),domain(antidomain(domain(X_990)))))),antidomain(domain(X_990)))))) )],[refute_0_805,refute_0_1078]) ).
cnf(refute_0_1080,plain,
multiplication(domain(antidomain(domain(X_33))),addition(domain(X_33),antidomain(domain(X_33)))) = addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))),
inference(subst,[],[refute_0_73:[bind(X_268,$fot(domain(X_33))),bind(X_269,$fot(antidomain(domain(X_33))))]]) ).
cnf(refute_0_1081,plain,
( addition(domain(X_33),antidomain(domain(X_33))) != one
| multiplication(domain(antidomain(domain(X_33))),addition(domain(X_33),antidomain(domain(X_33)))) != addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))
| multiplication(domain(antidomain(domain(X_33))),one) = addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),addition(domain(X_33),antidomain(domain(X_33)))),addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1082,plain,
( multiplication(domain(antidomain(domain(X_33))),addition(domain(X_33),antidomain(domain(X_33)))) != addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))
| multiplication(domain(antidomain(domain(X_33))),one) = addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_33),antidomain(domain(X_33))),one) )],[refute_0_372,refute_0_1081]) ).
cnf(refute_0_1083,plain,
multiplication(domain(antidomain(domain(X_33))),one) = addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),addition(domain(X_33),antidomain(domain(X_33)))),addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))) )],[refute_0_1080,refute_0_1082]) ).
cnf(refute_0_1084,plain,
multiplication(domain(antidomain(domain(X_33))),one) = domain(antidomain(domain(X_33))),
inference(subst,[],[refute_0_160:[bind(A,$fot(domain(antidomain(domain(X_33)))))]]) ).
cnf(refute_0_1085,plain,
( multiplication(domain(antidomain(domain(X_33))),one) != addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))
| multiplication(domain(antidomain(domain(X_33))),one) != domain(antidomain(domain(X_33)))
| domain(antidomain(domain(X_33))) = addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),one),addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))) ),[0],$fot(domain(antidomain(domain(X_33))))]]) ).
cnf(refute_0_1086,plain,
( multiplication(domain(antidomain(domain(X_33))),one) != addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))
| domain(antidomain(domain(X_33))) = addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),one),domain(antidomain(domain(X_33)))) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
domain(antidomain(domain(X_33))) = addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),one),addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))) )],[refute_0_1083,refute_0_1086]) ).
cnf(refute_0_1088,plain,
multiplication(domain(antidomain(domain(X_33))),domain(X_33)) = domain(multiplication(domain(antidomain(domain(X_33))),X_33)),
inference(subst,[],[refute_0_796:[bind(X_769,$fot(X_33)),bind(X_770,$fot(antidomain(domain(X_33))))]]) ).
cnf(refute_0_1089,plain,
addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) = addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))))]]) ).
cnf(refute_0_1090,plain,
( addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) != addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))
| multiplication(domain(antidomain(domain(X_33))),domain(X_33)) != domain(multiplication(domain(antidomain(domain(X_33))),X_33))
| addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))),addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))) ),[1,1],$fot(domain(multiplication(domain(antidomain(domain(X_33))),X_33)))]]) ).
cnf(refute_0_1091,plain,
( multiplication(domain(antidomain(domain(X_33))),domain(X_33)) != domain(multiplication(domain(antidomain(domain(X_33))),X_33))
| addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))),addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) )],[refute_0_1088,refute_0_1091]) ).
cnf(refute_0_1093,plain,
( addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))
| domain(antidomain(domain(X_33))) != addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))
| domain(antidomain(domain(X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(domain(X_33))),addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))) ),[1],$fot(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))))]]) ).
cnf(refute_0_1094,plain,
( domain(antidomain(domain(X_33))) != addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))
| domain(antidomain(domain(X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33))),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
domain(antidomain(domain(X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_33))),addition(antidomain(domain(X_33)),multiplication(domain(antidomain(domain(X_33))),domain(X_33)))) )],[refute_0_1087,refute_0_1094]) ).
cnf(refute_0_1096,plain,
domain(antidomain(domain(X_33))) = domain(antidomain(X_33)),
inference(subst,[],[refute_0_954:[bind(X_970,$fot(X_33))]]) ).
cnf(refute_0_1097,plain,
( domain(antidomain(domain(X_33))) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))
| domain(antidomain(domain(X_33))) != domain(antidomain(X_33))
| domain(antidomain(X_33)) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(domain(X_33))),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))) ),[0],$fot(domain(antidomain(X_33)))]]) ).
cnf(refute_0_1098,plain,
( domain(antidomain(domain(X_33))) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))
| domain(antidomain(X_33)) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_33))),domain(antidomain(X_33))) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
multiplication(domain(antidomain(domain(X_33))),X_33) = multiplication(domain(antidomain(domain(X_33))),X_33),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(domain(X_33))),X_33))]]) ).
cnf(refute_0_1100,plain,
( domain(antidomain(domain(X_33))) != domain(antidomain(X_33))
| multiplication(domain(antidomain(domain(X_33))),X_33) != multiplication(domain(antidomain(domain(X_33))),X_33)
| multiplication(domain(antidomain(domain(X_33))),X_33) = multiplication(domain(antidomain(X_33)),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),X_33),multiplication(domain(antidomain(domain(X_33))),X_33)) ),[1,0],$fot(domain(antidomain(X_33)))]]) ).
cnf(refute_0_1101,plain,
( domain(antidomain(domain(X_33))) != domain(antidomain(X_33))
| multiplication(domain(antidomain(domain(X_33))),X_33) = multiplication(domain(antidomain(X_33)),X_33) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),X_33),multiplication(domain(antidomain(domain(X_33))),X_33)) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
multiplication(domain(antidomain(domain(X_33))),X_33) = multiplication(domain(antidomain(X_33)),X_33),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_33))),domain(antidomain(X_33))) )],[refute_0_1096,refute_0_1101]) ).
cnf(refute_0_1103,plain,
domain(multiplication(domain(antidomain(domain(X_33))),X_33)) = domain(multiplication(domain(antidomain(domain(X_33))),X_33)),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(antidomain(domain(X_33))),X_33)))]]) ).
cnf(refute_0_1104,plain,
( domain(multiplication(domain(antidomain(domain(X_33))),X_33)) != domain(multiplication(domain(antidomain(domain(X_33))),X_33))
| multiplication(domain(antidomain(domain(X_33))),X_33) != multiplication(domain(antidomain(X_33)),X_33)
| domain(multiplication(domain(antidomain(domain(X_33))),X_33)) = domain(multiplication(domain(antidomain(X_33)),X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(antidomain(domain(X_33))),X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) ),[1,0],$fot(multiplication(domain(antidomain(X_33)),X_33))]]) ).
cnf(refute_0_1105,plain,
( multiplication(domain(antidomain(domain(X_33))),X_33) != multiplication(domain(antidomain(X_33)),X_33)
| domain(multiplication(domain(antidomain(domain(X_33))),X_33)) = domain(multiplication(domain(antidomain(X_33)),X_33)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(domain(X_33))),X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) )],[refute_0_1103,refute_0_1104]) ).
cnf(refute_0_1106,plain,
domain(multiplication(domain(antidomain(domain(X_33))),X_33)) = domain(multiplication(domain(antidomain(X_33)),X_33)),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(domain(X_33))),X_33),multiplication(domain(antidomain(X_33)),X_33)) )],[refute_0_1102,refute_0_1105]) ).
cnf(refute_0_1107,plain,
addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))))]]) ).
cnf(refute_0_1108,plain,
( addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))
| domain(multiplication(domain(antidomain(domain(X_33))),X_33)) != domain(multiplication(domain(antidomain(X_33)),X_33))
| addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))) ),[1,1],$fot(domain(multiplication(domain(antidomain(X_33)),X_33)))]]) ).
cnf(refute_0_1109,plain,
( domain(multiplication(domain(antidomain(domain(X_33))),X_33)) != domain(multiplication(domain(antidomain(X_33)),X_33))
| addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(domain(X_33))),X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) )],[refute_0_1106,refute_0_1109]) ).
cnf(refute_0_1111,plain,
( addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))
| domain(antidomain(X_33)) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))
| domain(antidomain(X_33)) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_33)),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))) ),[1],$fot(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))))]]) ).
cnf(refute_0_1112,plain,
( domain(antidomain(X_33)) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))
| domain(antidomain(X_33)) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33))),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( domain(antidomain(domain(X_33))) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))
| domain(antidomain(X_33)) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_33)),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))) )],[refute_0_1098,refute_0_1112]) ).
cnf(refute_0_1114,plain,
domain(antidomain(X_33)) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X_33))),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(domain(X_33))),X_33)))) )],[refute_0_1095,refute_0_1113]) ).
cnf(refute_0_1115,plain,
addition(zero,antidomain(domain(X_33))) = antidomain(domain(X_33)),
inference(subst,[],[refute_0_233:[bind(A,$fot(antidomain(domain(X_33))))]]) ).
cnf(refute_0_1116,plain,
addition(antidomain(domain(X_33)),zero) = addition(zero,antidomain(domain(X_33))),
inference(subst,[],[refute_0_1041:[bind(X_270,$fot(zero)),bind(X_271,$fot(X_33))]]) ).
cnf(refute_0_1117,plain,
( addition(antidomain(domain(X_33)),zero) != addition(zero,antidomain(domain(X_33)))
| addition(zero,antidomain(domain(X_33))) != antidomain(domain(X_33))
| addition(antidomain(domain(X_33)),zero) = antidomain(domain(X_33)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(domain(X_33)),zero))),bind(Y,$fot(addition(zero,antidomain(domain(X_33))))),bind(Z,$fot(antidomain(domain(X_33))))]]) ).
cnf(refute_0_1118,plain,
( addition(zero,antidomain(domain(X_33))) != antidomain(domain(X_33))
| addition(antidomain(domain(X_33)),zero) = antidomain(domain(X_33)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),zero),addition(zero,antidomain(domain(X_33)))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
addition(antidomain(domain(X_33)),zero) = antidomain(domain(X_33)),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(domain(X_33))),antidomain(domain(X_33))) )],[refute_0_1115,refute_0_1118]) ).
cnf(refute_0_1120,plain,
multiplication(domain(multiplication(antidomain(domain(X_968)),antidomain(X_968))),antidomain(domain(antidomain(domain(X_968))))) = zero,
inference(subst,[],[refute_0_224:[bind(X_268,$fot(antidomain(X_968))),bind(X_524,$fot(antidomain(domain(X_968))))]]) ).
cnf(refute_0_1121,plain,
( multiplication(antidomain(domain(X_968)),antidomain(X_968)) != antidomain(X_968)
| multiplication(domain(multiplication(antidomain(domain(X_968)),antidomain(X_968))),antidomain(domain(antidomain(domain(X_968))))) != zero
| multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(antidomain(domain(X_968)),antidomain(X_968))),antidomain(domain(antidomain(domain(X_968))))),zero) ),[0,0,0],$fot(antidomain(X_968))]]) ).
cnf(refute_0_1122,plain,
( multiplication(domain(multiplication(antidomain(domain(X_968)),antidomain(X_968))),antidomain(domain(antidomain(domain(X_968))))) != zero
| multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),antidomain(X_968)),antidomain(X_968)) )],[refute_0_382,refute_0_1121]) ).
cnf(refute_0_1123,plain,
multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(domain(X_968)),antidomain(X_968))),antidomain(domain(antidomain(domain(X_968))))),zero) )],[refute_0_1120,refute_0_1122]) ).
cnf(refute_0_1124,plain,
multiplication(domain(antidomain(X_968)),domain(X_968)) = domain(multiplication(domain(antidomain(X_968)),X_968)),
inference(subst,[],[refute_0_796:[bind(X_769,$fot(X_968)),bind(X_770,$fot(antidomain(X_968)))]]) ).
cnf(refute_0_1125,plain,
domain(domain(X_968)) = domain(X_968),
inference(subst,[],[refute_0_149:[bind(X_32,$fot(X_968))]]) ).
cnf(refute_0_1126,plain,
( domain(X_990) != antidomain(domain(antidomain(X_990)))
| antidomain(domain(antidomain(X_990))) = domain(X_990) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(X_990))),bind(Y,$fot(antidomain(domain(antidomain(X_990)))))]]) ).
cnf(refute_0_1127,plain,
antidomain(domain(antidomain(X_990))) = domain(X_990),
inference(resolve,[$cnf( $equal(domain(X_990),antidomain(domain(antidomain(X_990)))) )],[refute_0_1079,refute_0_1126]) ).
cnf(refute_0_1128,plain,
antidomain(domain(antidomain(domain(X_968)))) = domain(domain(X_968)),
inference(subst,[],[refute_0_1127:[bind(X_990,$fot(domain(X_968)))]]) ).
cnf(refute_0_1129,plain,
( antidomain(domain(antidomain(domain(X_968)))) != domain(domain(X_968))
| domain(domain(X_968)) != domain(X_968)
| antidomain(domain(antidomain(domain(X_968)))) = domain(X_968) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(antidomain(domain(antidomain(domain(X_968)))))),bind(Y,$fot(domain(domain(X_968)))),bind(Z,$fot(domain(X_968)))]]) ).
cnf(refute_0_1130,plain,
( domain(domain(X_968)) != domain(X_968)
| antidomain(domain(antidomain(domain(X_968)))) = domain(X_968) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(domain(X_968)))),domain(domain(X_968))) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
antidomain(domain(antidomain(domain(X_968)))) = domain(X_968),
inference(resolve,[$cnf( $equal(domain(domain(X_968)),domain(X_968)) )],[refute_0_1125,refute_0_1130]) ).
cnf(refute_0_1132,plain,
multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))))]]) ).
cnf(refute_0_1133,plain,
( antidomain(domain(antidomain(domain(X_968)))) != domain(X_968)
| multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) != multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968)))))
| multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = multiplication(domain(antidomain(X_968)),domain(X_968)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))),multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968)))))) ),[1,1],$fot(domain(X_968))]]) ).
cnf(refute_0_1134,plain,
( antidomain(domain(antidomain(domain(X_968)))) != domain(X_968)
| multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = multiplication(domain(antidomain(X_968)),domain(X_968)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))),multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968)))))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = multiplication(domain(antidomain(X_968)),domain(X_968)),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(domain(X_968)))),domain(X_968)) )],[refute_0_1131,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) != multiplication(domain(antidomain(X_968)),domain(X_968))
| multiplication(domain(antidomain(X_968)),domain(X_968)) != domain(multiplication(domain(antidomain(X_968)),X_968))
| multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = domain(multiplication(domain(antidomain(X_968)),X_968)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))))),bind(Y,$fot(multiplication(domain(antidomain(X_968)),domain(X_968)))),bind(Z,$fot(domain(multiplication(domain(antidomain(X_968)),X_968))))]]) ).
cnf(refute_0_1137,plain,
( multiplication(domain(antidomain(X_968)),domain(X_968)) != domain(multiplication(domain(antidomain(X_968)),X_968))
| multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = domain(multiplication(domain(antidomain(X_968)),X_968)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))),multiplication(domain(antidomain(X_968)),domain(X_968))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) = domain(multiplication(domain(antidomain(X_968)),X_968)),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_968)),domain(X_968)),domain(multiplication(domain(antidomain(X_968)),X_968))) )],[refute_0_1124,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) != domain(multiplication(domain(antidomain(X_968)),X_968))
| multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) != zero
| domain(multiplication(domain(antidomain(X_968)),X_968)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))),zero) ),[0],$fot(domain(multiplication(domain(antidomain(X_968)),X_968)))]]) ).
cnf(refute_0_1140,plain,
( multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))) != zero
| domain(multiplication(domain(antidomain(X_968)),X_968)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))),domain(multiplication(domain(antidomain(X_968)),X_968))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
domain(multiplication(domain(antidomain(X_968)),X_968)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_968)),antidomain(domain(antidomain(domain(X_968))))),zero) )],[refute_0_1123,refute_0_1140]) ).
cnf(refute_0_1142,plain,
domain(multiplication(domain(antidomain(X_33)),X_33)) = zero,
inference(subst,[],[refute_0_1141:[bind(X_968,$fot(X_33))]]) ).
cnf(refute_0_1143,plain,
addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) = addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))))]]) ).
cnf(refute_0_1144,plain,
( addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))
| domain(multiplication(domain(antidomain(X_33)),X_33)) != zero
| addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) = addition(antidomain(domain(X_33)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1145,plain,
( domain(multiplication(domain(antidomain(X_33)),X_33)) != zero
| addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) = addition(antidomain(domain(X_33)),zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) = addition(antidomain(domain(X_33)),zero),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_33)),X_33)),zero) )],[refute_0_1142,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) != addition(antidomain(domain(X_33)),zero)
| addition(antidomain(domain(X_33)),zero) != antidomain(domain(X_33))
| addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) = antidomain(domain(X_33)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))))),bind(Y,$fot(addition(antidomain(domain(X_33)),zero))),bind(Z,$fot(antidomain(domain(X_33))))]]) ).
cnf(refute_0_1148,plain,
( addition(antidomain(domain(X_33)),zero) != antidomain(domain(X_33))
| addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) = antidomain(domain(X_33)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))),addition(antidomain(domain(X_33)),zero)) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) = antidomain(domain(X_33)),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),zero),antidomain(domain(X_33))) )],[refute_0_1119,refute_0_1148]) ).
cnf(refute_0_1150,plain,
( addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))) != antidomain(domain(X_33))
| domain(antidomain(X_33)) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))
| domain(antidomain(X_33)) = antidomain(domain(X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_33)),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))) ),[1],$fot(antidomain(domain(X_33)))]]) ).
cnf(refute_0_1151,plain,
( domain(antidomain(X_33)) != addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))
| domain(antidomain(X_33)) = antidomain(domain(X_33)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33))),antidomain(domain(X_33))) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
domain(antidomain(X_33)) = antidomain(domain(X_33)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_33)),addition(antidomain(domain(X_33)),domain(multiplication(domain(antidomain(X_33)),X_33)))) )],[refute_0_1114,refute_0_1151]) ).
cnf(refute_0_1153,plain,
domain(antidomain(X_990)) = antidomain(domain(X_990)),
inference(subst,[],[refute_0_1152:[bind(X_33,$fot(X_990))]]) ).
cnf(refute_0_1154,plain,
antidomain(domain(antidomain(X_990))) = antidomain(domain(antidomain(X_990))),
introduced(tautology,[refl,[$fot(antidomain(domain(antidomain(X_990))))]]) ).
cnf(refute_0_1155,plain,
( antidomain(domain(antidomain(X_990))) != antidomain(domain(antidomain(X_990)))
| domain(antidomain(X_990)) != antidomain(domain(X_990))
| antidomain(domain(antidomain(X_990))) = antidomain(antidomain(domain(X_990))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(antidomain(X_990))),antidomain(domain(antidomain(X_990)))) ),[1,0],$fot(antidomain(domain(X_990)))]]) ).
cnf(refute_0_1156,plain,
( domain(antidomain(X_990)) != antidomain(domain(X_990))
| antidomain(domain(antidomain(X_990))) = antidomain(antidomain(domain(X_990))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(X_990))),antidomain(domain(antidomain(X_990)))) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
antidomain(domain(antidomain(X_990))) = antidomain(antidomain(domain(X_990))),
inference(resolve,[$cnf( $equal(domain(antidomain(X_990)),antidomain(domain(X_990))) )],[refute_0_1153,refute_0_1156]) ).
cnf(refute_0_1158,plain,
( antidomain(domain(antidomain(X_990))) != antidomain(antidomain(domain(X_990)))
| domain(X_990) != antidomain(domain(antidomain(X_990)))
| domain(X_990) = antidomain(antidomain(domain(X_990))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(X_990),antidomain(domain(antidomain(X_990)))) ),[1],$fot(antidomain(antidomain(domain(X_990))))]]) ).
cnf(refute_0_1159,plain,
( domain(X_990) != antidomain(domain(antidomain(X_990)))
| domain(X_990) = antidomain(antidomain(domain(X_990))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(X_990))),antidomain(antidomain(domain(X_990)))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
domain(X_990) = antidomain(antidomain(domain(X_990))),
inference(resolve,[$cnf( $equal(domain(X_990),antidomain(domain(antidomain(X_990)))) )],[refute_0_1079,refute_0_1159]) ).
cnf(refute_0_1161,plain,
( domain(X_990) != antidomain(antidomain(domain(X_990)))
| antidomain(antidomain(domain(X_990))) = domain(X_990) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(X_990))),bind(Y,$fot(antidomain(antidomain(domain(X_990)))))]]) ).
cnf(refute_0_1162,plain,
antidomain(antidomain(domain(X_990))) = domain(X_990),
inference(resolve,[$cnf( $equal(domain(X_990),antidomain(antidomain(domain(X_990)))) )],[refute_0_1160,refute_0_1161]) ).
cnf(refute_0_1163,plain,
antidomain(antidomain(domain(multiplication(X_1031,X_1030)))) = domain(multiplication(X_1031,X_1030)),
inference(subst,[],[refute_0_1162:[bind(X_990,$fot(multiplication(X_1031,X_1030)))]]) ).
cnf(refute_0_1164,plain,
domain(antidomain(multiplication(X_1031,X_1030))) = antidomain(domain(multiplication(X_1031,X_1030))),
inference(subst,[],[refute_0_1152:[bind(X_33,$fot(multiplication(X_1031,X_1030)))]]) ).
cnf(refute_0_1165,plain,
antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) = antidomain(domain(antidomain(multiplication(X_1031,X_1030)))),
introduced(tautology,[refl,[$fot(antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))]]) ).
cnf(refute_0_1166,plain,
( antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) != antidomain(domain(antidomain(multiplication(X_1031,X_1030))))
| domain(antidomain(multiplication(X_1031,X_1030))) != antidomain(domain(multiplication(X_1031,X_1030)))
| antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) = antidomain(antidomain(domain(multiplication(X_1031,X_1030)))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(antidomain(multiplication(X_1031,X_1030)))),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) ),[1,0],$fot(antidomain(domain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1167,plain,
( domain(antidomain(multiplication(X_1031,X_1030))) != antidomain(domain(multiplication(X_1031,X_1030)))
| antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) = antidomain(antidomain(domain(multiplication(X_1031,X_1030)))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(multiplication(X_1031,X_1030)))),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) = antidomain(antidomain(domain(multiplication(X_1031,X_1030)))),
inference(resolve,[$cnf( $equal(domain(antidomain(multiplication(X_1031,X_1030))),antidomain(domain(multiplication(X_1031,X_1030)))) )],[refute_0_1164,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( antidomain(antidomain(domain(multiplication(X_1031,X_1030)))) != domain(multiplication(X_1031,X_1030))
| antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) != antidomain(antidomain(domain(multiplication(X_1031,X_1030))))
| antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) = domain(multiplication(X_1031,X_1030)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))),bind(Y,$fot(antidomain(antidomain(domain(multiplication(X_1031,X_1030)))))),bind(Z,$fot(domain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1170,plain,
( antidomain(antidomain(domain(multiplication(X_1031,X_1030)))) != domain(multiplication(X_1031,X_1030))
| antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) = domain(multiplication(X_1031,X_1030)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(multiplication(X_1031,X_1030)))),antidomain(antidomain(domain(multiplication(X_1031,X_1030))))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) = domain(multiplication(X_1031,X_1030)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain(multiplication(X_1031,X_1030)))),domain(multiplication(X_1031,X_1030))) )],[refute_0_1163,refute_0_1170]) ).
cnf(refute_0_1172,plain,
multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))))]]) ).
cnf(refute_0_1173,plain,
( antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) != domain(multiplication(X_1031,X_1030))
| multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))
| multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))) ),[1,1],$fot(domain(multiplication(X_1031,X_1030)))]]) ).
cnf(refute_0_1174,plain,
( antidomain(domain(antidomain(multiplication(X_1031,X_1030)))) != domain(multiplication(X_1031,X_1030))
| multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(multiplication(X_1031,X_1030)))),domain(multiplication(X_1031,X_1030))) )],[refute_0_1171,refute_0_1174]) ).
cnf(refute_0_1176,plain,
domain(antidomain(X_1031)) = antidomain(domain(X_1031)),
inference(subst,[],[refute_0_1152:[bind(X_33,$fot(X_1031))]]) ).
cnf(refute_0_1177,plain,
multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))))]]) ).
cnf(refute_0_1178,plain,
( domain(antidomain(X_1031)) != antidomain(domain(X_1031))
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))) ),[1,0],$fot(antidomain(domain(X_1031)))]]) ).
cnf(refute_0_1179,plain,
( domain(antidomain(X_1031)) != antidomain(domain(X_1031))
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1031)),antidomain(domain(X_1031))) )],[refute_0_1176,refute_0_1179]) ).
cnf(refute_0_1181,plain,
( multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030)))
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))))),bind(Y,$fot(multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))))),bind(Z,$fot(multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030)))))]]) ).
cnf(refute_0_1182,plain,
( multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030)))
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030)))))) )],[refute_0_1180,refute_0_1181]) ).
cnf(refute_0_1183,plain,
multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) = multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030)))) )],[refute_0_1175,refute_0_1182]) ).
cnf(refute_0_1184,plain,
( multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030)))
| multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != zero
| multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),zero) ),[0],$fot(multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1185,plain,
( multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))) != zero
| multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030)))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
multiplication(antidomain(domain(X_1031)),domain(multiplication(X_1031,X_1030))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1031)),antidomain(domain(antidomain(multiplication(X_1031,X_1030))))),zero) )],[refute_0_310,refute_0_1185]) ).
cnf(refute_0_1187,plain,
multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035))) = zero,
inference(subst,[],[refute_0_1186:[bind(X_1030,$fot(X_1035)),bind(X_1031,$fot(X_1036))]]) ).
cnf(refute_0_1188,plain,
( domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))) != domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))
| multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035))) != zero
| domain(zero) = domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))),domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1189,plain,
( domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))) != domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))
| domain(zero) = domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035))),zero) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
domain(zero) = domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))),domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))) )],[refute_0_76,refute_0_1189]) ).
cnf(refute_0_1191,plain,
( domain(zero) != domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))
| domain(zero) != zero
| zero = domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(zero),domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1192,plain,
( domain(zero) != domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))
| zero = domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) ),
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_1046,refute_0_1191]) ).
cnf(refute_0_1193,plain,
domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))) = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))),
inference(subst,[],[refute_0_731:[bind(X0,$fot(antidomain(domain(X_1036)))),bind(X1,$fot(multiplication(X_1036,X_1035)))]]) ).
cnf(refute_0_1194,plain,
domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) = domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))),
inference(subst,[],[refute_0_731:[bind(X0,$fot(antidomain(domain(X_1036)))),bind(X1,$fot(domain(multiplication(X_1036,X_1035))))]]) ).
cnf(refute_0_1195,plain,
( domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) != domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035))))
| domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))) != domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))
| domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))))),bind(Y,$fot(domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))))),bind(Z,$fot(domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))))]]) ).
cnf(refute_0_1196,plain,
( domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))) != domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))
| domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))),domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035))))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(domain(X_1036)),domain(multiplication(X_1036,X_1035)))),domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))) )],[refute_0_1193,refute_0_1196]) ).
cnf(refute_0_1198,plain,
( domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))) != domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))
| zero != domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))
| zero = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))) ),[1],$fot(domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))))]]) ).
cnf(refute_0_1199,plain,
( zero != domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))
| zero = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035))))),domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
( domain(zero) != domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))
| zero = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) ),
inference(resolve,[$cnf( $equal(zero,domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))) )],[refute_0_1192,refute_0_1199]) ).
cnf(refute_0_1201,plain,
zero = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))),
inference(resolve,[$cnf( $equal(domain(zero),domain(multiplication(antidomain(domain(X_1036)),domain(domain(multiplication(X_1036,X_1035)))))) )],[refute_0_1190,refute_0_1200]) ).
cnf(refute_0_1202,plain,
( ~ leq(antidomain(domain(X_1041)),antidomain(X_1041))
| addition(antidomain(domain(X_1041)),antidomain(X_1041)) = antidomain(X_1041) ),
inference(subst,[],[refute_0_598:[bind(A,$fot(antidomain(domain(X_1041)))),bind(B,$fot(antidomain(X_1041)))]]) ).
cnf(refute_0_1203,plain,
leq(multiplication(X_165,X_411),addition(X_165,multiplication(X_165,X_411))),
inference(subst,[],[refute_0_614:[bind(X_164,$fot(multiplication(X_165,X_411)))]]) ).
cnf(refute_0_1204,plain,
multiplication(X_165,addition(X_411,one)) = addition(X_165,multiplication(X_165,X_411)),
inference(subst,[],[refute_0_168:[bind(X_267,$fot(X_165)),bind(X_268,$fot(X_411))]]) ).
cnf(refute_0_1205,plain,
( multiplication(X_165,addition(X_411,one)) != addition(X_165,multiplication(X_165,X_411))
| addition(X_165,multiplication(X_165,X_411)) = multiplication(X_165,addition(X_411,one)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(X_165,addition(X_411,one)))),bind(Y,$fot(addition(X_165,multiplication(X_165,X_411))))]]) ).
cnf(refute_0_1206,plain,
addition(X_165,multiplication(X_165,X_411)) = multiplication(X_165,addition(X_411,one)),
inference(resolve,[$cnf( $equal(multiplication(X_165,addition(X_411,one)),addition(X_165,multiplication(X_165,X_411))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
( addition(X_165,multiplication(X_165,X_411)) != multiplication(X_165,addition(X_411,one))
| ~ leq(multiplication(X_165,X_411),addition(X_165,multiplication(X_165,X_411)))
| leq(multiplication(X_165,X_411),multiplication(X_165,addition(X_411,one))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(X_165,X_411),addition(X_165,multiplication(X_165,X_411))) ),[1],$fot(multiplication(X_165,addition(X_411,one)))]]) ).
cnf(refute_0_1208,plain,
( ~ leq(multiplication(X_165,X_411),addition(X_165,multiplication(X_165,X_411)))
| leq(multiplication(X_165,X_411),multiplication(X_165,addition(X_411,one))) ),
inference(resolve,[$cnf( $equal(addition(X_165,multiplication(X_165,X_411)),multiplication(X_165,addition(X_411,one))) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
leq(multiplication(X_165,X_411),multiplication(X_165,addition(X_411,one))),
inference(resolve,[$cnf( leq(multiplication(X_165,X_411),addition(X_165,multiplication(X_165,X_411))) )],[refute_0_1203,refute_0_1208]) ).
cnf(refute_0_1210,plain,
leq(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one))),
inference(subst,[],[refute_0_1209:[bind(X_165,$fot(antidomain(multiplication(X_1031,X_1030)))),bind(X_411,$fot(antidomain(X_1031)))]]) ).
cnf(refute_0_1211,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) != antidomain(X_1031)
| ~ leq(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)))
| leq(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one))) ),[0],$fot(antidomain(X_1031))]]) ).
cnf(refute_0_1212,plain,
( ~ leq(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)))
| leq(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),antidomain(X_1031)) )],[refute_0_307,refute_0_1211]) ).
cnf(refute_0_1213,plain,
leq(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one))),
inference(resolve,[$cnf( leq(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one))) )],[refute_0_1210,refute_0_1212]) ).
cnf(refute_0_1214,plain,
multiplication(X_267,addition(one,X_269)) = addition(multiplication(X_267,one),multiplication(X_267,X_269)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_267)),bind(B,$fot(one)),bind(C,$fot(X_269))]]) ).
cnf(refute_0_1215,plain,
( multiplication(X_267,addition(one,X_269)) != addition(multiplication(X_267,one),multiplication(X_267,X_269))
| multiplication(X_267,one) != X_267
| multiplication(X_267,addition(one,X_269)) = addition(X_267,multiplication(X_267,X_269)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_267,addition(one,X_269)),addition(multiplication(X_267,one),multiplication(X_267,X_269))) ),[1,0],$fot(X_267)]]) ).
cnf(refute_0_1216,plain,
( multiplication(X_267,addition(one,X_269)) != addition(multiplication(X_267,one),multiplication(X_267,X_269))
| multiplication(X_267,addition(one,X_269)) = addition(X_267,multiplication(X_267,X_269)) ),
inference(resolve,[$cnf( $equal(multiplication(X_267,one),X_267) )],[refute_0_161,refute_0_1215]) ).
cnf(refute_0_1217,plain,
multiplication(X_267,addition(one,X_269)) = addition(X_267,multiplication(X_267,X_269)),
inference(resolve,[$cnf( $equal(multiplication(X_267,addition(one,X_269)),addition(multiplication(X_267,one),multiplication(X_267,X_269))) )],[refute_0_1214,refute_0_1216]) ).
cnf(refute_0_1218,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = addition(antidomain(multiplication(X_1031,X_1030)),multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))),
inference(subst,[],[refute_0_1217:[bind(X_267,$fot(antidomain(multiplication(X_1031,X_1030)))),bind(X_269,$fot(antidomain(X_1031)))]]) ).
cnf(refute_0_1219,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) != addition(antidomain(multiplication(X_1031,X_1030)),multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)))
| multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) != antidomain(X_1031)
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),addition(antidomain(multiplication(X_1031,X_1030)),multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)))) ),[1,1],$fot(antidomain(X_1031))]]) ).
cnf(refute_0_1220,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) != addition(antidomain(multiplication(X_1031,X_1030)),multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),antidomain(X_1031)) )],[refute_0_307,refute_0_1219]) ).
cnf(refute_0_1221,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),addition(antidomain(multiplication(X_1031,X_1030)),multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)))) )],[refute_0_1218,refute_0_1220]) ).
cnf(refute_0_1222,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),one) = antidomain(multiplication(X_1031,X_1030)),
inference(subst,[],[refute_0_160:[bind(A,$fot(antidomain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1223,plain,
addition(one,antidomain(X_1031)) = one,
inference(subst,[],[refute_0_556:[bind(X_64,$fot(X_1031))]]) ).
cnf(refute_0_1224,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))))]]) ).
cnf(refute_0_1225,plain,
( addition(one,antidomain(X_1031)) != one
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) != multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031)))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = multiplication(antidomain(multiplication(X_1031,X_1030)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1226,plain,
( addition(one,antidomain(X_1031)) != one
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = multiplication(antidomain(multiplication(X_1031,X_1030)),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031)))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = multiplication(antidomain(multiplication(X_1031,X_1030)),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_1031)),one) )],[refute_0_1223,refute_0_1226]) ).
cnf(refute_0_1228,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) != multiplication(antidomain(multiplication(X_1031,X_1030)),one)
| multiplication(antidomain(multiplication(X_1031,X_1030)),one) != antidomain(multiplication(X_1031,X_1030))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = antidomain(multiplication(X_1031,X_1030)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))))),bind(Y,$fot(multiplication(antidomain(multiplication(X_1031,X_1030)),one))),bind(Z,$fot(antidomain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1229,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),one) != antidomain(multiplication(X_1031,X_1030))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = antidomain(multiplication(X_1031,X_1030)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) )],[refute_0_1227,refute_0_1228]) ).
cnf(refute_0_1230,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) = antidomain(multiplication(X_1031,X_1030)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),one),antidomain(multiplication(X_1031,X_1030))) )],[refute_0_1222,refute_0_1229]) ).
cnf(refute_0_1231,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) != addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) != antidomain(multiplication(X_1031,X_1030))
| antidomain(multiplication(X_1031,X_1030)) = addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))) ),[0],$fot(antidomain(multiplication(X_1031,X_1030)))]]) ).
cnf(refute_0_1232,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) != addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))
| antidomain(multiplication(X_1031,X_1030)) = addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),antidomain(multiplication(X_1031,X_1030))) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) = addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))),
inference(subst,[],[refute_0_16:[bind(A,$fot(antidomain(X_1031))),bind(B,$fot(antidomain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1234,plain,
( addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) != addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030)))
| antidomain(multiplication(X_1031,X_1030)) != addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))
| antidomain(multiplication(X_1031,X_1030)) = addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))) ),[1],$fot(addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1235,plain,
( antidomain(multiplication(X_1031,X_1030)) != addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))
| antidomain(multiplication(X_1031,X_1030)) = addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030)))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))) != addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))
| antidomain(multiplication(X_1031,X_1030)) = addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
antidomain(multiplication(X_1031,X_1030)) = addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(one,antidomain(X_1031))),addition(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031))) )],[refute_0_1221,refute_0_1236]) ).
cnf(refute_0_1238,plain,
( antidomain(multiplication(X_1031,X_1030)) != addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030)))
| addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) = antidomain(multiplication(X_1031,X_1030)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(antidomain(multiplication(X_1031,X_1030)))),bind(Y,$fot(addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030)))))]]) ).
cnf(refute_0_1239,plain,
addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) = antidomain(multiplication(X_1031,X_1030)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030)))) )],[refute_0_1237,refute_0_1238]) ).
cnf(refute_0_1240,plain,
addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) = addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)),
introduced(tautology,[refl,[$fot(addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)))]]) ).
cnf(refute_0_1241,plain,
( addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) != addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one))
| multiplication(antidomain(multiplication(X_1031,X_1030)),one) != antidomain(multiplication(X_1031,X_1030))
| addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) = addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)),addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one))) ),[1,1],$fot(antidomain(multiplication(X_1031,X_1030)))]]) ).
cnf(refute_0_1242,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),one) != antidomain(multiplication(X_1031,X_1030))
| addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) = addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)),addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one))) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) = addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),one),antidomain(multiplication(X_1031,X_1030))) )],[refute_0_1222,refute_0_1242]) ).
cnf(refute_0_1244,plain,
( addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) != antidomain(multiplication(X_1031,X_1030))
| addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) != addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030)))
| addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) = antidomain(multiplication(X_1031,X_1030)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)))),bind(Y,$fot(addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))))),bind(Z,$fot(antidomain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1245,plain,
( addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) != antidomain(multiplication(X_1031,X_1030))
| addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) = antidomain(multiplication(X_1031,X_1030)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)),addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030)))) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) = antidomain(multiplication(X_1031,X_1030)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))),antidomain(multiplication(X_1031,X_1030))) )],[refute_0_1239,refute_0_1245]) ).
cnf(refute_0_1247,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),C)) = addition(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),C)),
inference(subst,[],[refute_0_1:[bind(A,$fot(antidomain(multiplication(X_1031,X_1030)))),bind(B,$fot(antidomain(X_1031)))]]) ).
cnf(refute_0_1248,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),C)) != addition(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),C))
| multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)) != antidomain(X_1031)
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),C)) = addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),C)),addition(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),C))) ),[1,0],$fot(antidomain(X_1031))]]) ).
cnf(refute_0_1249,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),C)) != addition(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),C))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),C)) = addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),C)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),antidomain(X_1031)) )],[refute_0_307,refute_0_1248]) ).
cnf(refute_0_1250,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),C)) = addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),C)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),C)),addition(multiplication(antidomain(multiplication(X_1031,X_1030)),antidomain(X_1031)),multiplication(antidomain(multiplication(X_1031,X_1030)),C))) )],[refute_0_1247,refute_0_1249]) ).
cnf(refute_0_1251,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)) = addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)),
inference(subst,[],[refute_0_1250:[bind(C,$fot(one))]]) ).
cnf(refute_0_1252,plain,
( addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) != antidomain(multiplication(X_1031,X_1030))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)) != addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)) = antidomain(multiplication(X_1031,X_1030)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)))),bind(Y,$fot(addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)))),bind(Z,$fot(antidomain(multiplication(X_1031,X_1030))))]]) ).
cnf(refute_0_1253,plain,
( addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)) != antidomain(multiplication(X_1031,X_1030))
| multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)) = antidomain(multiplication(X_1031,X_1030)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)),addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one))) )],[refute_0_1251,refute_0_1252]) ).
cnf(refute_0_1254,plain,
multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)) = antidomain(multiplication(X_1031,X_1030)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),one)),antidomain(multiplication(X_1031,X_1030))) )],[refute_0_1246,refute_0_1253]) ).
cnf(refute_0_1255,plain,
( multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)) != antidomain(multiplication(X_1031,X_1030))
| ~ leq(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)))
| leq(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) ),
introduced(tautology,[equality,[$cnf( leq(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one))) ),[1],$fot(antidomain(multiplication(X_1031,X_1030)))]]) ).
cnf(refute_0_1256,plain,
( ~ leq(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)))
| leq(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one)),antidomain(multiplication(X_1031,X_1030))) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
leq(antidomain(X_1031),antidomain(multiplication(X_1031,X_1030))),
inference(resolve,[$cnf( leq(antidomain(X_1031),multiplication(antidomain(multiplication(X_1031,X_1030)),addition(antidomain(X_1031),one))) )],[refute_0_1213,refute_0_1256]) ).
cnf(refute_0_1258,plain,
leq(antidomain(domain(X_1039)),antidomain(multiplication(domain(X_1039),X_1039))),
inference(subst,[],[refute_0_1257:[bind(X_1030,$fot(X_1039)),bind(X_1031,$fot(domain(X_1039)))]]) ).
cnf(refute_0_1259,plain,
X_1039 = multiplication(domain(X_1039),X_1039),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_1039))]]) ).
cnf(refute_0_1260,plain,
( X_1039 != multiplication(domain(X_1039),X_1039)
| multiplication(domain(X_1039),X_1039) = X_1039 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_1039)),bind(Y,$fot(multiplication(domain(X_1039),X_1039)))]]) ).
cnf(refute_0_1261,plain,
multiplication(domain(X_1039),X_1039) = X_1039,
inference(resolve,[$cnf( $equal(X_1039,multiplication(domain(X_1039),X_1039)) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
( multiplication(domain(X_1039),X_1039) != X_1039
| ~ leq(antidomain(domain(X_1039)),antidomain(multiplication(domain(X_1039),X_1039)))
| leq(antidomain(domain(X_1039)),antidomain(X_1039)) ),
introduced(tautology,[equality,[$cnf( leq(antidomain(domain(X_1039)),antidomain(multiplication(domain(X_1039),X_1039))) ),[1,0],$fot(X_1039)]]) ).
cnf(refute_0_1263,plain,
( ~ leq(antidomain(domain(X_1039)),antidomain(multiplication(domain(X_1039),X_1039)))
| leq(antidomain(domain(X_1039)),antidomain(X_1039)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1039),X_1039),X_1039) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
leq(antidomain(domain(X_1039)),antidomain(X_1039)),
inference(resolve,[$cnf( leq(antidomain(domain(X_1039)),antidomain(multiplication(domain(X_1039),X_1039))) )],[refute_0_1258,refute_0_1263]) ).
cnf(refute_0_1265,plain,
leq(antidomain(domain(X_1041)),antidomain(X_1041)),
inference(subst,[],[refute_0_1264:[bind(X_1039,$fot(X_1041))]]) ).
cnf(refute_0_1266,plain,
addition(antidomain(domain(X_1041)),antidomain(X_1041)) = antidomain(X_1041),
inference(resolve,[$cnf( leq(antidomain(domain(X_1041)),antidomain(X_1041)) )],[refute_0_1265,refute_0_1202]) ).
cnf(refute_0_1267,plain,
multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) = addition(antidomain(domain(X_968)),multiplication(antidomain(domain(X_968)),antidomain(X_968))),
inference(subst,[],[refute_0_168:[bind(X_267,$fot(antidomain(domain(X_968)))),bind(X_268,$fot(antidomain(X_968)))]]) ).
cnf(refute_0_1268,plain,
( multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) != addition(antidomain(domain(X_968)),multiplication(antidomain(domain(X_968)),antidomain(X_968)))
| multiplication(antidomain(domain(X_968)),antidomain(X_968)) != antidomain(X_968)
| multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) = addition(antidomain(domain(X_968)),antidomain(X_968)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)),addition(antidomain(domain(X_968)),multiplication(antidomain(domain(X_968)),antidomain(X_968)))) ),[1,1],$fot(antidomain(X_968))]]) ).
cnf(refute_0_1269,plain,
( multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) != addition(antidomain(domain(X_968)),multiplication(antidomain(domain(X_968)),antidomain(X_968)))
| multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) = addition(antidomain(domain(X_968)),antidomain(X_968)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),antidomain(X_968)),antidomain(X_968)) )],[refute_0_382,refute_0_1268]) ).
cnf(refute_0_1270,plain,
multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) = addition(antidomain(domain(X_968)),antidomain(X_968)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)),addition(antidomain(domain(X_968)),multiplication(antidomain(domain(X_968)),antidomain(X_968)))) )],[refute_0_1267,refute_0_1269]) ).
cnf(refute_0_1271,plain,
multiplication(antidomain(domain(X_968)),one) = antidomain(domain(X_968)),
inference(subst,[],[refute_0_160:[bind(A,$fot(antidomain(domain(X_968))))]]) ).
cnf(refute_0_1272,plain,
addition(one,antidomain(X_968)) = one,
inference(subst,[],[refute_0_556:[bind(X_64,$fot(X_968))]]) ).
cnf(refute_0_1273,plain,
multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) = multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))))]]) ).
cnf(refute_0_1274,plain,
( addition(one,antidomain(X_968)) != one
| multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) != multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968)))
| multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) = multiplication(antidomain(domain(X_968)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))),multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1275,plain,
( addition(one,antidomain(X_968)) != one
| multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) = multiplication(antidomain(domain(X_968)),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))),multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968)))) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) = multiplication(antidomain(domain(X_968)),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_968)),one) )],[refute_0_1272,refute_0_1275]) ).
cnf(refute_0_1277,plain,
( multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) != multiplication(antidomain(domain(X_968)),one)
| multiplication(antidomain(domain(X_968)),one) != antidomain(domain(X_968))
| multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) = antidomain(domain(X_968)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))))),bind(Y,$fot(multiplication(antidomain(domain(X_968)),one))),bind(Z,$fot(antidomain(domain(X_968))))]]) ).
cnf(refute_0_1278,plain,
( multiplication(antidomain(domain(X_968)),one) != antidomain(domain(X_968))
| multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) = antidomain(domain(X_968)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))),multiplication(antidomain(domain(X_968)),one)) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) = antidomain(domain(X_968)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),one),antidomain(domain(X_968))) )],[refute_0_1271,refute_0_1278]) ).
cnf(refute_0_1280,plain,
addition(multiplication(A,B),multiplication(A,C)) = addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))),
inference(subst,[],[refute_0_528:[bind(X_55,$fot(multiplication(A,B))),bind(X_56,$fot(multiplication(A,C)))]]) ).
cnf(refute_0_1281,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_1282,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[refute_0_1,refute_0_1281]) ).
cnf(refute_0_1283,plain,
( addition(multiplication(A,B),multiplication(A,C)) != addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C)))
| addition(multiplication(A,B),multiplication(A,C)) != multiplication(A,addition(B,C))
| multiplication(A,addition(B,C)) = addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,C)),addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C)))) ),[0],$fot(multiplication(A,addition(B,C)))]]) ).
cnf(refute_0_1284,plain,
( addition(multiplication(A,B),multiplication(A,C)) != addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C)))
| multiplication(A,addition(B,C)) = addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,C)),multiplication(A,addition(B,C))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,C)),addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C)))) )],[refute_0_1280,refute_0_1284]) ).
cnf(refute_0_1286,plain,
addition(C,addition(C,B)) = addition(C,B),
inference(subst,[],[refute_0_521:[bind(X_55,$fot(C)),bind(X_56,$fot(B))]]) ).
cnf(refute_0_1287,plain,
multiplication(A,addition(C,addition(C,B))) = multiplication(A,addition(C,addition(C,B))),
introduced(tautology,[refl,[$fot(multiplication(A,addition(C,addition(C,B))))]]) ).
cnf(refute_0_1288,plain,
( addition(C,addition(C,B)) != addition(C,B)
| multiplication(A,addition(C,addition(C,B))) != multiplication(A,addition(C,addition(C,B)))
| multiplication(A,addition(C,addition(C,B))) = multiplication(A,addition(C,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(C,addition(C,B))),multiplication(A,addition(C,addition(C,B)))) ),[1,1],$fot(addition(C,B))]]) ).
cnf(refute_0_1289,plain,
( addition(C,addition(C,B)) != addition(C,B)
| multiplication(A,addition(C,addition(C,B))) = multiplication(A,addition(C,B)) ),
inference(resolve,[$cnf( $equal(multiplication(A,addition(C,addition(C,B))),multiplication(A,addition(C,addition(C,B)))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
multiplication(A,addition(C,addition(C,B))) = multiplication(A,addition(C,B)),
inference(resolve,[$cnf( $equal(addition(C,addition(C,B)),addition(C,B)) )],[refute_0_1286,refute_0_1289]) ).
cnf(refute_0_1291,plain,
addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) = addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),
inference(subst,[],[refute_0_11:[bind(A,$fot(multiplication(X_267,X_269))),bind(B,$fot(multiplication(X_267,X_268)))]]) ).
cnf(refute_0_1292,plain,
( addition(multiplication(X_267,X_268),multiplication(X_267,X_269)) != multiplication(X_267,addition(X_268,X_269))
| addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) != addition(multiplication(X_267,X_268),multiplication(X_267,X_269))
| addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) = multiplication(X_267,addition(X_268,X_269)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_267,X_269),multiplication(X_267,X_268)),addition(multiplication(X_267,X_268),multiplication(X_267,X_269))) ),[1],$fot(multiplication(X_267,addition(X_268,X_269)))]]) ).
cnf(refute_0_1293,plain,
( addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) != addition(multiplication(X_267,X_268),multiplication(X_267,X_269))
| addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) = multiplication(X_267,addition(X_268,X_269)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),multiplication(X_267,addition(X_268,X_269))) )],[refute_0_269,refute_0_1292]) ).
cnf(refute_0_1294,plain,
addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) = multiplication(X_267,addition(X_268,X_269)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_269),multiplication(X_267,X_268)),addition(multiplication(X_267,X_268),multiplication(X_267,X_269))) )],[refute_0_1291,refute_0_1293]) ).
cnf(refute_0_1295,plain,
addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) = multiplication(X_267,addition(X_269,X_268)),
inference(subst,[],[refute_0_1282:[bind(A,$fot(X_267)),bind(B,$fot(X_269)),bind(C,$fot(X_268))]]) ).
cnf(refute_0_1296,plain,
( addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) != multiplication(X_267,addition(X_268,X_269))
| addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) != multiplication(X_267,addition(X_269,X_268))
| multiplication(X_267,addition(X_269,X_268)) = multiplication(X_267,addition(X_268,X_269)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_267,X_269),multiplication(X_267,X_268)),multiplication(X_267,addition(X_268,X_269))) ),[0],$fot(multiplication(X_267,addition(X_269,X_268)))]]) ).
cnf(refute_0_1297,plain,
( addition(multiplication(X_267,X_269),multiplication(X_267,X_268)) != multiplication(X_267,addition(X_268,X_269))
| multiplication(X_267,addition(X_269,X_268)) = multiplication(X_267,addition(X_268,X_269)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_269),multiplication(X_267,X_268)),multiplication(X_267,addition(X_269,X_268))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
multiplication(X_267,addition(X_269,X_268)) = multiplication(X_267,addition(X_268,X_269)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_269),multiplication(X_267,X_268)),multiplication(X_267,addition(X_268,X_269))) )],[refute_0_1294,refute_0_1297]) ).
cnf(refute_0_1299,plain,
( multiplication(X_267,addition(X_269,X_268)) != multiplication(X_267,addition(X_268,X_269))
| multiplication(X_267,addition(X_268,X_269)) = multiplication(X_267,addition(X_269,X_268)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(X_267,addition(X_269,X_268)))),bind(Y,$fot(multiplication(X_267,addition(X_268,X_269))))]]) ).
cnf(refute_0_1300,plain,
multiplication(X_267,addition(X_268,X_269)) = multiplication(X_267,addition(X_269,X_268)),
inference(resolve,[$cnf( $equal(multiplication(X_267,addition(X_269,X_268)),multiplication(X_267,addition(X_268,X_269))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
multiplication(A,addition(addition(C,B),C)) = multiplication(A,addition(C,addition(C,B))),
inference(subst,[],[refute_0_1300:[bind(X_267,$fot(A)),bind(X_268,$fot(addition(C,B))),bind(X_269,$fot(C))]]) ).
cnf(refute_0_1302,plain,
addition(multiplication(A,addition(C,B)),multiplication(A,C)) = multiplication(A,addition(addition(C,B),C)),
inference(subst,[],[refute_0_1282:[bind(B,$fot(addition(C,B)))]]) ).
cnf(refute_0_1303,plain,
( addition(multiplication(A,addition(C,B)),multiplication(A,C)) != multiplication(A,addition(addition(C,B),C))
| multiplication(A,addition(addition(C,B),C)) != multiplication(A,addition(C,addition(C,B)))
| addition(multiplication(A,addition(C,B)),multiplication(A,C)) = multiplication(A,addition(C,addition(C,B))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(multiplication(A,addition(C,B)),multiplication(A,C)))),bind(Y,$fot(multiplication(A,addition(addition(C,B),C)))),bind(Z,$fot(multiplication(A,addition(C,addition(C,B)))))]]) ).
cnf(refute_0_1304,plain,
( multiplication(A,addition(addition(C,B),C)) != multiplication(A,addition(C,addition(C,B)))
| addition(multiplication(A,addition(C,B)),multiplication(A,C)) = multiplication(A,addition(C,addition(C,B))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,addition(C,B)),multiplication(A,C)),multiplication(A,addition(addition(C,B),C))) )],[refute_0_1302,refute_0_1303]) ).
cnf(refute_0_1305,plain,
addition(multiplication(A,addition(C,B)),multiplication(A,C)) = multiplication(A,addition(C,addition(C,B))),
inference(resolve,[$cnf( $equal(multiplication(A,addition(addition(C,B),C)),multiplication(A,addition(C,addition(C,B)))) )],[refute_0_1301,refute_0_1304]) ).
cnf(refute_0_1306,plain,
addition(multiplication(X_267,X_268),addition(multiplication(X_267,X_269),C)) = addition(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),C),
inference(subst,[],[refute_0_98:[bind(A,$fot(multiplication(X_267,X_268))),bind(B,$fot(multiplication(X_267,X_269)))]]) ).
cnf(refute_0_1307,plain,
( addition(multiplication(X_267,X_268),addition(multiplication(X_267,X_269),C)) != addition(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),C)
| addition(multiplication(X_267,X_268),multiplication(X_267,X_269)) != multiplication(X_267,addition(X_268,X_269))
| addition(multiplication(X_267,X_268),addition(multiplication(X_267,X_269),C)) = addition(multiplication(X_267,addition(X_268,X_269)),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_267,X_268),addition(multiplication(X_267,X_269),C)),addition(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),C)) ),[1,0],$fot(multiplication(X_267,addition(X_268,X_269)))]]) ).
cnf(refute_0_1308,plain,
( addition(multiplication(X_267,X_268),addition(multiplication(X_267,X_269),C)) != addition(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),C)
| addition(multiplication(X_267,X_268),addition(multiplication(X_267,X_269),C)) = addition(multiplication(X_267,addition(X_268,X_269)),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),multiplication(X_267,addition(X_268,X_269))) )],[refute_0_269,refute_0_1307]) ).
cnf(refute_0_1309,plain,
addition(multiplication(X_267,X_268),addition(multiplication(X_267,X_269),C)) = addition(multiplication(X_267,addition(X_268,X_269)),C),
inference(resolve,[$cnf( $equal(addition(multiplication(X_267,X_268),addition(multiplication(X_267,X_269),C)),addition(addition(multiplication(X_267,X_268),multiplication(X_267,X_269)),C)) )],[refute_0_1306,refute_0_1308]) ).
cnf(refute_0_1310,plain,
addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) = addition(multiplication(A,addition(C,B)),multiplication(A,C)),
inference(subst,[],[refute_0_1309:[bind(C,$fot(multiplication(A,C))),bind(X_267,$fot(A)),bind(X_268,$fot(C)),bind(X_269,$fot(B))]]) ).
cnf(refute_0_1311,plain,
( addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) != addition(multiplication(A,addition(C,B)),multiplication(A,C))
| addition(multiplication(A,addition(C,B)),multiplication(A,C)) != multiplication(A,addition(C,addition(C,B)))
| addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) = multiplication(A,addition(C,addition(C,B))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))))),bind(Y,$fot(addition(multiplication(A,addition(C,B)),multiplication(A,C)))),bind(Z,$fot(multiplication(A,addition(C,addition(C,B)))))]]) ).
cnf(refute_0_1312,plain,
( addition(multiplication(A,addition(C,B)),multiplication(A,C)) != multiplication(A,addition(C,addition(C,B)))
| addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) = multiplication(A,addition(C,addition(C,B))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))),addition(multiplication(A,addition(C,B)),multiplication(A,C))) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) = multiplication(A,addition(C,addition(C,B))),
inference(resolve,[$cnf( $equal(addition(multiplication(A,addition(C,B)),multiplication(A,C)),multiplication(A,addition(C,addition(C,B)))) )],[refute_0_1305,refute_0_1312]) ).
cnf(refute_0_1314,plain,
( addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) != multiplication(A,addition(C,addition(C,B)))
| multiplication(A,addition(C,addition(C,B))) != multiplication(A,addition(C,B))
| addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) = multiplication(A,addition(C,B)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))))),bind(Y,$fot(multiplication(A,addition(C,addition(C,B))))),bind(Z,$fot(multiplication(A,addition(C,B))))]]) ).
cnf(refute_0_1315,plain,
( multiplication(A,addition(C,addition(C,B))) != multiplication(A,addition(C,B))
| addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) = multiplication(A,addition(C,B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))),multiplication(A,addition(C,addition(C,B)))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) = multiplication(A,addition(C,B)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(C,addition(C,B))),multiplication(A,addition(C,B))) )],[refute_0_1290,refute_0_1315]) ).
cnf(refute_0_1317,plain,
( addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))) != multiplication(A,addition(C,B))
| multiplication(A,addition(B,C)) != addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C)))
| multiplication(A,addition(B,C)) = multiplication(A,addition(C,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C)))) ),[1],$fot(multiplication(A,addition(C,B)))]]) ).
cnf(refute_0_1318,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C)))
| multiplication(A,addition(B,C)) = multiplication(A,addition(C,B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C))),multiplication(A,addition(C,B))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
multiplication(A,addition(B,C)) = multiplication(A,addition(C,B)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,C),addition(multiplication(A,B),multiplication(A,C)))) )],[refute_0_1285,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( multiplication(A,addition(B,C)) != multiplication(A,addition(C,B))
| multiplication(A,addition(C,B)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(multiplication(A,addition(C,B))))]]) ).
cnf(refute_0_1321,plain,
multiplication(A,addition(C,B)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),multiplication(A,addition(C,B))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) = multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))),
inference(subst,[],[refute_0_1321:[bind(A,$fot(antidomain(domain(X_968)))),bind(B,$fot(one)),bind(C,$fot(antidomain(X_968)))]]) ).
cnf(refute_0_1323,plain,
( multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) != multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968)))
| multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) != antidomain(domain(X_968))
| multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) = antidomain(domain(X_968)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)))),bind(Y,$fot(multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))))),bind(Z,$fot(antidomain(domain(X_968))))]]) ).
cnf(refute_0_1324,plain,
( multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))) != antidomain(domain(X_968))
| multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) = antidomain(domain(X_968)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)),multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968)))) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) = antidomain(domain(X_968)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(one,antidomain(X_968))),antidomain(domain(X_968))) )],[refute_0_1279,refute_0_1324]) ).
cnf(refute_0_1326,plain,
( multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) != addition(antidomain(domain(X_968)),antidomain(X_968))
| multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) != antidomain(domain(X_968))
| antidomain(domain(X_968)) = addition(antidomain(domain(X_968)),antidomain(X_968)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)),addition(antidomain(domain(X_968)),antidomain(X_968))) ),[0],$fot(antidomain(domain(X_968)))]]) ).
cnf(refute_0_1327,plain,
( multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) != addition(antidomain(domain(X_968)),antidomain(X_968))
| antidomain(domain(X_968)) = addition(antidomain(domain(X_968)),antidomain(X_968)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)),antidomain(domain(X_968))) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
addition(antidomain(domain(X_968)),antidomain(X_968)) = addition(antidomain(X_968),antidomain(domain(X_968))),
inference(subst,[],[refute_0_1041:[bind(X_270,$fot(antidomain(X_968))),bind(X_271,$fot(X_968))]]) ).
cnf(refute_0_1329,plain,
( addition(antidomain(domain(X_968)),antidomain(X_968)) != addition(antidomain(X_968),antidomain(domain(X_968)))
| antidomain(domain(X_968)) != addition(antidomain(domain(X_968)),antidomain(X_968))
| antidomain(domain(X_968)) = addition(antidomain(X_968),antidomain(domain(X_968))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X_968)),addition(antidomain(domain(X_968)),antidomain(X_968))) ),[1],$fot(addition(antidomain(X_968),antidomain(domain(X_968))))]]) ).
cnf(refute_0_1330,plain,
( antidomain(domain(X_968)) != addition(antidomain(domain(X_968)),antidomain(X_968))
| antidomain(domain(X_968)) = addition(antidomain(X_968),antidomain(domain(X_968))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_968)),antidomain(X_968)),addition(antidomain(X_968),antidomain(domain(X_968)))) )],[refute_0_1328,refute_0_1329]) ).
cnf(refute_0_1331,plain,
( multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)) != addition(antidomain(domain(X_968)),antidomain(X_968))
| antidomain(domain(X_968)) = addition(antidomain(X_968),antidomain(domain(X_968))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_968)),addition(antidomain(domain(X_968)),antidomain(X_968))) )],[refute_0_1327,refute_0_1330]) ).
cnf(refute_0_1332,plain,
antidomain(domain(X_968)) = addition(antidomain(X_968),antidomain(domain(X_968))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_968)),addition(antidomain(X_968),one)),addition(antidomain(domain(X_968)),antidomain(X_968))) )],[refute_0_1270,refute_0_1331]) ).
cnf(refute_0_1333,plain,
( antidomain(domain(X_968)) != addition(antidomain(X_968),antidomain(domain(X_968)))
| addition(antidomain(X_968),antidomain(domain(X_968))) = antidomain(domain(X_968)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(antidomain(domain(X_968)))),bind(Y,$fot(addition(antidomain(X_968),antidomain(domain(X_968)))))]]) ).
cnf(refute_0_1334,plain,
addition(antidomain(X_968),antidomain(domain(X_968))) = antidomain(domain(X_968)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_968)),addition(antidomain(X_968),antidomain(domain(X_968)))) )],[refute_0_1332,refute_0_1333]) ).
cnf(refute_0_1335,plain,
addition(antidomain(X_1041),antidomain(domain(X_1041))) = antidomain(domain(X_1041)),
inference(subst,[],[refute_0_1334:[bind(X_968,$fot(X_1041))]]) ).
cnf(refute_0_1336,plain,
addition(antidomain(domain(X_1041)),antidomain(X_1041)) = addition(antidomain(X_1041),antidomain(domain(X_1041))),
inference(subst,[],[refute_0_1041:[bind(X_270,$fot(antidomain(X_1041))),bind(X_271,$fot(X_1041))]]) ).
cnf(refute_0_1337,plain,
( addition(antidomain(X_1041),antidomain(domain(X_1041))) != antidomain(domain(X_1041))
| addition(antidomain(domain(X_1041)),antidomain(X_1041)) != addition(antidomain(X_1041),antidomain(domain(X_1041)))
| addition(antidomain(domain(X_1041)),antidomain(X_1041)) = antidomain(domain(X_1041)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(antidomain(domain(X_1041)),antidomain(X_1041)))),bind(Y,$fot(addition(antidomain(X_1041),antidomain(domain(X_1041))))),bind(Z,$fot(antidomain(domain(X_1041))))]]) ).
cnf(refute_0_1338,plain,
( addition(antidomain(X_1041),antidomain(domain(X_1041))) != antidomain(domain(X_1041))
| addition(antidomain(domain(X_1041)),antidomain(X_1041)) = antidomain(domain(X_1041)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_1041)),antidomain(X_1041)),addition(antidomain(X_1041),antidomain(domain(X_1041)))) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
addition(antidomain(domain(X_1041)),antidomain(X_1041)) = antidomain(domain(X_1041)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1041),antidomain(domain(X_1041))),antidomain(domain(X_1041))) )],[refute_0_1335,refute_0_1338]) ).
cnf(refute_0_1340,plain,
( addition(antidomain(domain(X_1041)),antidomain(X_1041)) != antidomain(X_1041)
| addition(antidomain(domain(X_1041)),antidomain(X_1041)) != antidomain(domain(X_1041))
| antidomain(domain(X_1041)) = antidomain(X_1041) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_1041)),antidomain(X_1041)),antidomain(X_1041)) ),[0],$fot(antidomain(domain(X_1041)))]]) ).
cnf(refute_0_1341,plain,
( addition(antidomain(domain(X_1041)),antidomain(X_1041)) != antidomain(X_1041)
| antidomain(domain(X_1041)) = antidomain(X_1041) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_1041)),antidomain(X_1041)),antidomain(domain(X_1041))) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
antidomain(domain(X_1041)) = antidomain(X_1041),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_1041)),antidomain(X_1041)),antidomain(X_1041)) )],[refute_0_1266,refute_0_1341]) ).
cnf(refute_0_1343,plain,
antidomain(domain(X_1036)) = antidomain(X_1036),
inference(subst,[],[refute_0_1342:[bind(X_1041,$fot(X_1036))]]) ).
cnf(refute_0_1344,plain,
multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)) = multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))]]) ).
cnf(refute_0_1345,plain,
( antidomain(domain(X_1036)) != antidomain(X_1036)
| multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)) != multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))
| multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)) = multiplication(antidomain(X_1036),multiplication(X_1036,X_1035)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)),multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) ),[1,0],$fot(antidomain(X_1036))]]) ).
cnf(refute_0_1346,plain,
( antidomain(domain(X_1036)) != antidomain(X_1036)
| multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)) = multiplication(antidomain(X_1036),multiplication(X_1036,X_1035)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)),multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)) = multiplication(antidomain(X_1036),multiplication(X_1036,X_1035)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_1036)),antidomain(X_1036)) )],[refute_0_1343,refute_0_1346]) ).
cnf(refute_0_1348,plain,
domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) = domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))),
introduced(tautology,[refl,[$fot(domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))))]]) ).
cnf(refute_0_1349,plain,
( domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) != domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))
| multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)) != multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))
| domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) = domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))),domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))) ),[1,0],$fot(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035)))]]) ).
cnf(refute_0_1350,plain,
( multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)) != multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))
| domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) = domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))),domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) = domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)),multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))) )],[refute_0_1347,refute_0_1350]) ).
cnf(refute_0_1352,plain,
( domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))) != domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035)))
| zero != domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))
| zero = domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))) ),[1],$fot(domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))))]]) ).
cnf(refute_0_1353,plain,
( zero != domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))
| zero = domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035))),domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035)))) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
zero = domain(multiplication(antidomain(X_1036),multiplication(X_1036,X_1035))),
inference(resolve,[$cnf( $equal(zero,domain(multiplication(antidomain(domain(X_1036)),multiplication(X_1036,X_1035)))) )],[refute_0_1201,refute_0_1353]) ).
cnf(refute_0_1355,plain,
zero = domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),
inference(subst,[],[refute_0_1354:[bind(X_1035,$fot(X_1131)),bind(X_1036,$fot(X_1132))]]) ).
cnf(refute_0_1356,plain,
( zero != domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))
| domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))) = zero ),
inference(subst,[],[refute_0_14:[bind(X,$fot(zero)),bind(Y,$fot(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))))]]) ).
cnf(refute_0_1357,plain,
domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))) = zero,
inference(resolve,[$cnf( $equal(zero,domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
( domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))) != zero
| multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))
| multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))),addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1359,plain,
( multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))
| multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),zero) )],[refute_0_1357,refute_0_1358]) ).
cnf(refute_0_1360,plain,
multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))),addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))) )],[refute_0_74,refute_0_1359]) ).
cnf(refute_0_1361,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_1362,plain,
multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) = zero,
inference(subst,[],[refute_0_1361:[bind(A,$fot(addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))))]]) ).
cnf(refute_0_1363,plain,
( multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))
| multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) != zero
| zero = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))),addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1364,plain,
( multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))
| zero = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) ),
inference(resolve,[$cnf( $equal(multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))),zero) )],[refute_0_1362,refute_0_1363]) ).
cnf(refute_0_1365,plain,
addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero) = multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),
inference(subst,[],[refute_0_115:[bind(A,$fot(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))))]]) ).
cnf(refute_0_1366,plain,
multiplication(zero,X_268) = zero,
inference(subst,[],[refute_0_1361:[bind(A,$fot(X_268))]]) ).
cnf(refute_0_1367,plain,
multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) = multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268),
introduced(tautology,[refl,[$fot(multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))]]) ).
cnf(refute_0_1368,plain,
( domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))) != zero
| multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) != multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)
| multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) = multiplication(zero,X_268) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1369,plain,
( domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))) != zero
| multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) = multiplication(zero,X_268) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) )],[refute_0_1367,refute_0_1368]) ).
cnf(refute_0_1370,plain,
multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) = multiplication(zero,X_268),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),zero) )],[refute_0_1357,refute_0_1369]) ).
cnf(refute_0_1371,plain,
( multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) != multiplication(zero,X_268)
| multiplication(zero,X_268) != zero
| multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))),bind(Y,$fot(multiplication(zero,X_268))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1372,plain,
( multiplication(zero,X_268) != zero
| multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268),multiplication(zero,X_268)) )],[refute_0_1370,refute_0_1371]) ).
cnf(refute_0_1373,plain,
multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) = zero,
inference(resolve,[$cnf( $equal(multiplication(zero,X_268),zero) )],[refute_0_1366,refute_0_1372]) ).
cnf(refute_0_1374,plain,
addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)),
introduced(tautology,[refl,[$fot(addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)))]]) ).
cnf(refute_0_1375,plain,
( addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))
| multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) != zero
| addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)),addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1376,plain,
( multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268) != zero
| addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)),addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) = addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268),zero) )],[refute_0_1373,refute_0_1376]) ).
cnf(refute_0_1378,plain,
( addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero)
| addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero) != multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))
| addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) = multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)))),bind(Y,$fot(addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero))),bind(Z,$fot(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))))]]) ).
cnf(refute_0_1379,plain,
( addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero) != multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))
| addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) = multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)),addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero)) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) = multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),zero),multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))) )],[refute_0_1365,refute_0_1379]) ).
cnf(refute_0_1381,plain,
( addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)) != multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))
| zero != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))
| zero = multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))) ),[1],$fot(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))]]) ).
cnf(refute_0_1382,plain,
( zero != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))
| zero = multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268)),multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
( multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))) != addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))
| zero = multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)) ),
inference(resolve,[$cnf( $equal(zero,addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))) )],[refute_0_1364,refute_0_1382]) ).
cnf(refute_0_1384,plain,
zero = multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),
inference(resolve,[$cnf( $equal(multiplication(zero,addition(X_268,multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)))),addition(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131)),multiplication(domain(multiplication(antidomain(X_1132),multiplication(X_1132,X_1131))),X_268))) )],[refute_0_1360,refute_0_1383]) ).
cnf(refute_0_1385,plain,
zero = multiplication(antidomain(domain(X_269)),multiplication(domain(X_269),addition(X_268,X_269))),
inference(subst,[],[refute_0_1384:[bind(X_1131,$fot(addition(X_268,X_269))),bind(X_1132,$fot(domain(X_269)))]]) ).
cnf(refute_0_1386,plain,
( multiplication(domain(X_269),addition(X_268,X_269)) != addition(X_269,multiplication(domain(X_269),X_268))
| zero != multiplication(antidomain(domain(X_269)),multiplication(domain(X_269),addition(X_268,X_269)))
| zero = multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(domain(X_269)),multiplication(domain(X_269),addition(X_268,X_269)))) ),[1,1],$fot(addition(X_269,multiplication(domain(X_269),X_268)))]]) ).
cnf(refute_0_1387,plain,
( zero != multiplication(antidomain(domain(X_269)),multiplication(domain(X_269),addition(X_268,X_269)))
| zero = multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_269),addition(X_268,X_269)),addition(X_269,multiplication(domain(X_269),X_268))) )],[refute_0_73,refute_0_1386]) ).
cnf(refute_0_1388,plain,
zero = multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))),
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(domain(X_269)),multiplication(domain(X_269),addition(X_268,X_269)))) )],[refute_0_1385,refute_0_1387]) ).
cnf(refute_0_1389,plain,
antidomain(domain(X_269)) = antidomain(X_269),
inference(subst,[],[refute_0_1342:[bind(X_1041,$fot(X_269))]]) ).
cnf(refute_0_1390,plain,
multiplication(antidomain(domain(X_269)),X_269) = multiplication(antidomain(domain(X_269)),X_269),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X_269)),X_269))]]) ).
cnf(refute_0_1391,plain,
( antidomain(domain(X_269)) != antidomain(X_269)
| multiplication(antidomain(domain(X_269)),X_269) != multiplication(antidomain(domain(X_269)),X_269)
| multiplication(antidomain(domain(X_269)),X_269) = multiplication(antidomain(X_269),X_269) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_269)),X_269),multiplication(antidomain(domain(X_269)),X_269)) ),[1,0],$fot(antidomain(X_269))]]) ).
cnf(refute_0_1392,plain,
( antidomain(domain(X_269)) != antidomain(X_269)
| multiplication(antidomain(domain(X_269)),X_269) = multiplication(antidomain(X_269),X_269) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_269)),X_269),multiplication(antidomain(domain(X_269)),X_269)) )],[refute_0_1390,refute_0_1391]) ).
cnf(refute_0_1393,plain,
multiplication(antidomain(domain(X_269)),X_269) = multiplication(antidomain(X_269),X_269),
inference(resolve,[$cnf( $equal(antidomain(domain(X_269)),antidomain(X_269)) )],[refute_0_1389,refute_0_1392]) ).
cnf(refute_0_1394,plain,
multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) = addition(multiplication(antidomain(X_1134),B),multiplication(antidomain(X_1134),multiplication(X_1134,X_1133))),
inference(subst,[],[refute_0_1:[bind(A,$fot(antidomain(X_1134))),bind(C,$fot(multiplication(X_1134,X_1133)))]]) ).
cnf(refute_0_1395,plain,
zero = multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)),
inference(subst,[],[refute_0_1384:[bind(X_1131,$fot(X_1133)),bind(X_1132,$fot(X_1134))]]) ).
cnf(refute_0_1396,plain,
( zero != multiplication(antidomain(X_1134),multiplication(X_1134,X_1133))
| multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)) = zero ),
inference(subst,[],[refute_0_14:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(X_1134),multiplication(X_1134,X_1133))))]]) ).
cnf(refute_0_1397,plain,
multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(X_1134),multiplication(X_1134,X_1133))) )],[refute_0_1395,refute_0_1396]) ).
cnf(refute_0_1398,plain,
( multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) != addition(multiplication(antidomain(X_1134),B),multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)))
| multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)) != zero
| multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) = addition(multiplication(antidomain(X_1134),B),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))),addition(multiplication(antidomain(X_1134),B),multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1399,plain,
( multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) != addition(multiplication(antidomain(X_1134),B),multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)))
| multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) = addition(multiplication(antidomain(X_1134),B),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)),zero) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) = addition(multiplication(antidomain(X_1134),B),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))),addition(multiplication(antidomain(X_1134),B),multiplication(antidomain(X_1134),multiplication(X_1134,X_1133)))) )],[refute_0_1394,refute_0_1399]) ).
cnf(refute_0_1401,plain,
addition(multiplication(antidomain(X_1134),B),zero) = multiplication(antidomain(X_1134),B),
inference(subst,[],[refute_0_115:[bind(A,$fot(multiplication(antidomain(X_1134),B)))]]) ).
cnf(refute_0_1402,plain,
( addition(multiplication(antidomain(X_1134),B),zero) != multiplication(antidomain(X_1134),B)
| multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) != addition(multiplication(antidomain(X_1134),B),zero)
| multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) = multiplication(antidomain(X_1134),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))),addition(multiplication(antidomain(X_1134),B),zero)) ),[1],$fot(multiplication(antidomain(X_1134),B))]]) ).
cnf(refute_0_1403,plain,
( multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) != addition(multiplication(antidomain(X_1134),B),zero)
| multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) = multiplication(antidomain(X_1134),B) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_1134),B),zero),multiplication(antidomain(X_1134),B)) )],[refute_0_1401,refute_0_1402]) ).
cnf(refute_0_1404,plain,
multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))) = multiplication(antidomain(X_1134),B),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_1134),addition(B,multiplication(X_1134,X_1133))),addition(multiplication(antidomain(X_1134),B),zero)) )],[refute_0_1400,refute_0_1403]) ).
cnf(refute_0_1405,plain,
multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))) = multiplication(antidomain(domain(X_269)),X_269),
inference(subst,[],[refute_0_1404:[bind(B,$fot(X_269)),bind(X_1133,$fot(X_268)),bind(X_1134,$fot(domain(X_269)))]]) ).
cnf(refute_0_1406,plain,
( multiplication(antidomain(domain(X_269)),X_269) != multiplication(antidomain(X_269),X_269)
| multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))) != multiplication(antidomain(domain(X_269)),X_269)
| multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))) = multiplication(antidomain(X_269),X_269) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))))),bind(Y,$fot(multiplication(antidomain(domain(X_269)),X_269))),bind(Z,$fot(multiplication(antidomain(X_269),X_269)))]]) ).
cnf(refute_0_1407,plain,
( multiplication(antidomain(domain(X_269)),X_269) != multiplication(antidomain(X_269),X_269)
| multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))) = multiplication(antidomain(X_269),X_269) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))),multiplication(antidomain(domain(X_269)),X_269)) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))) = multiplication(antidomain(X_269),X_269),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_269)),X_269),multiplication(antidomain(X_269),X_269)) )],[refute_0_1393,refute_0_1407]) ).
cnf(refute_0_1409,plain,
( multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))) != multiplication(antidomain(X_269),X_269)
| zero != multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268)))
| zero = multiplication(antidomain(X_269),X_269) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268)))) ),[1],$fot(multiplication(antidomain(X_269),X_269))]]) ).
cnf(refute_0_1410,plain,
( zero != multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268)))
| zero = multiplication(antidomain(X_269),X_269) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268))),multiplication(antidomain(X_269),X_269)) )],[refute_0_1408,refute_0_1409]) ).
cnf(refute_0_1411,plain,
zero = multiplication(antidomain(X_269),X_269),
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(domain(X_269)),addition(X_269,multiplication(domain(X_269),X_268)))) )],[refute_0_1388,refute_0_1410]) ).
cnf(refute_0_1412,plain,
( zero != multiplication(antidomain(X_269),X_269)
| multiplication(antidomain(X_269),X_269) = zero ),
inference(subst,[],[refute_0_14:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(X_269),X_269)))]]) ).
cnf(refute_0_1413,plain,
multiplication(antidomain(X_269),X_269) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(X_269),X_269)) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = zero,
inference(subst,[],[refute_0_1413:[bind(X_269,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1415,plain,
( multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != zero
| zero != zero
| multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_1416,plain,
( zero != zero
| multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),zero) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
zero != zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),zero) )],[refute_0_1416,refute_0_0]) ).
cnf(refute_0_1418,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_1419,plain,
$false,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_1418,refute_0_1417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE081+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 16:25:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 44.36/44.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.36/44.54
% 44.36/44.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 44.47/44.68
%------------------------------------------------------------------------------