TSTP Solution File: KLE090-10 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KLE090-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n032.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 02:15:11 EDT 2022

% Result   : Unsatisfiable 99.45s 99.62s
% Output   : CNFRefutation 99.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  173
%            Number of leaves      :  679
% Syntax   : Number of clauses     : 2776 (1393 unt;   0 nHn;1620 RR)
%            Number of literals    : 4781 (4780 equ;2007 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   16 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-4 aty)
%            Number of variables   : 3633 (  95 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq2(A,A,B,C) = B ).

cnf(ifeq_axiom_001,axiom,
    ifeq(A,A,B,C) = B ).

cnf(additive_commutativity,axiom,
    addition(A,B) = addition(B,A) ).

cnf(additive_associativity,axiom,
    addition(A,addition(B,C)) = addition(addition(A,B),C) ).

cnf(additive_identity,axiom,
    addition(A,zero) = A ).

cnf(additive_idempotence,axiom,
    addition(A,A) = A ).

cnf(multiplicative_associativity,axiom,
    multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).

cnf(multiplicative_right_identity,axiom,
    multiplication(A,one) = A ).

cnf(multiplicative_left_identity,axiom,
    multiplication(one,A) = A ).

cnf(right_distributivity,axiom,
    multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).

cnf(left_distributivity,axiom,
    multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).

cnf(right_annihilation,axiom,
    multiplication(A,zero) = zero ).

cnf(left_annihilation,axiom,
    multiplication(zero,A) = zero ).

cnf(order_1,axiom,
    ifeq(leq(A,B),true,addition(A,B),B) = B ).

cnf(order,axiom,
    ifeq2(addition(A,B),B,leq(A,B),true) = true ).

cnf(domain1,axiom,
    multiplication(antidomain(X0),X0) = zero ).

cnf(domain2,axiom,
    addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ).

cnf(domain3,axiom,
    addition(antidomain(antidomain(X0)),antidomain(X0)) = one ).

cnf(domain4,axiom,
    domain(X0) = antidomain(antidomain(X0)) ).

cnf(codomain1,axiom,
    multiplication(X0,coantidomain(X0)) = zero ).

cnf(codomain2,axiom,
    addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ).

cnf(codomain3,axiom,
    addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one ).

cnf(codomain4,axiom,
    codomain(X0) = coantidomain(coantidomain(X0)) ).

cnf(goals,negated_conjecture,
    addition(sK2_goals_X0,sK1_goals_X1) = sK1_goals_X1 ).

cnf(goals_1,negated_conjecture,
    addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) != antidomain(sK2_goals_X0) ).

cnf(refute_0_0,plain,
    multiplication(addition(one,X_73),X_74) = addition(multiplication(one,X_74),multiplication(X_73,X_74)),
    inference(subst,[],[left_distributivity:[bind(A,$fot(one)),bind(B,$fot(X_73)),bind(C,$fot(X_74))]]) ).

cnf(refute_0_1,plain,
    multiplication(one,X_74) = X_74,
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(X_74))]]) ).

cnf(refute_0_2,plain,
    ( multiplication(addition(one,X_73),X_74) != addition(multiplication(one,X_74),multiplication(X_73,X_74))
    | multiplication(one,X_74) != X_74
    | multiplication(addition(one,X_73),X_74) = addition(X_74,multiplication(X_73,X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_73),X_74),addition(multiplication(one,X_74),multiplication(X_73,X_74))) ),[1,0],$fot(X_74)]]) ).

cnf(refute_0_3,plain,
    ( multiplication(addition(one,X_73),X_74) != addition(multiplication(one,X_74),multiplication(X_73,X_74))
    | multiplication(addition(one,X_73),X_74) = addition(X_74,multiplication(X_73,X_74)) ),
    inference(resolve,[$cnf( $equal(multiplication(one,X_74),X_74) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    multiplication(addition(one,X_73),X_74) = addition(X_74,multiplication(X_73,X_74)),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,X_73),X_74),addition(multiplication(one,X_74),multiplication(X_73,X_74))) )],[refute_0_0,refute_0_3]) ).

cnf(refute_0_5,plain,
    multiplication(addition(one,X_84),X_85) = addition(X_85,multiplication(X_84,X_85)),
    inference(subst,[],[refute_0_4:[bind(X_73,$fot(X_84)),bind(X_74,$fot(X_85))]]) ).

cnf(refute_0_6,plain,
    addition(X_84,one) = addition(one,X_84),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(X_84)),bind(B,$fot(one))]]) ).

cnf(refute_0_7,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_8,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_9,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( addition(X_84,one) != addition(one,X_84)
    | addition(one,X_84) = addition(X_84,one) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_84,one))),bind(Y,$fot(addition(one,X_84)))]]) ).

cnf(refute_0_11,plain,
    addition(one,X_84) = addition(X_84,one),
    inference(resolve,[$cnf( $equal(addition(X_84,one),addition(one,X_84)) )],[refute_0_6,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( addition(one,X_84) != addition(X_84,one)
    | multiplication(addition(one,X_84),X_85) != addition(X_85,multiplication(X_84,X_85))
    | multiplication(addition(X_84,one),X_85) = addition(X_85,multiplication(X_84,X_85)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_84),X_85),addition(X_85,multiplication(X_84,X_85))) ),[0,0],$fot(addition(X_84,one))]]) ).

cnf(refute_0_13,plain,
    ( multiplication(addition(one,X_84),X_85) != addition(X_85,multiplication(X_84,X_85))
    | multiplication(addition(X_84,one),X_85) = addition(X_85,multiplication(X_84,X_85)) ),
    inference(resolve,[$cnf( $equal(addition(one,X_84),addition(X_84,one)) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    multiplication(addition(X_84,one),X_85) = addition(X_85,multiplication(X_84,X_85)),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,X_84),X_85),addition(X_85,multiplication(X_84,X_85))) )],[refute_0_5,refute_0_13]) ).

cnf(refute_0_15,plain,
    multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) = addition(antidomain(sK2_goals_X0),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))),
    inference(subst,[],[refute_0_14:[bind(X_84,$fot(antidomain(sK1_goals_X1))),bind(X_85,$fot(antidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_16,plain,
    multiplication(antidomain(X_99),addition(X_216,domain(X_99))) = addition(multiplication(antidomain(X_99),X_216),multiplication(antidomain(X_99),domain(X_99))),
    inference(subst,[],[right_distributivity:[bind(A,$fot(antidomain(X_99))),bind(B,$fot(X_216)),bind(C,$fot(domain(X_99)))]]) ).

cnf(refute_0_17,plain,
    multiplication(antidomain(X_57),multiplication(X_57,X_58)) = multiplication(multiplication(antidomain(X_57),X_57),X_58),
    inference(subst,[],[multiplicative_associativity:[bind(A,$fot(antidomain(X_57))),bind(B,$fot(X_57)),bind(C,$fot(X_58))]]) ).

cnf(refute_0_18,plain,
    multiplication(antidomain(X_57),X_57) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(X_57))]]) ).

cnf(refute_0_19,plain,
    ( multiplication(antidomain(X_57),X_57) != zero
    | multiplication(antidomain(X_57),multiplication(X_57,X_58)) != multiplication(multiplication(antidomain(X_57),X_57),X_58)
    | multiplication(antidomain(X_57),multiplication(X_57,X_58)) = multiplication(zero,X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_57),multiplication(X_57,X_58)),multiplication(multiplication(antidomain(X_57),X_57),X_58)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_20,plain,
    ( multiplication(antidomain(X_57),multiplication(X_57,X_58)) != multiplication(multiplication(antidomain(X_57),X_57),X_58)
    | multiplication(antidomain(X_57),multiplication(X_57,X_58)) = multiplication(zero,X_58) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_57),X_57),zero) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    multiplication(antidomain(X_57),multiplication(X_57,X_58)) = multiplication(zero,X_58),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_57),multiplication(X_57,X_58)),multiplication(multiplication(antidomain(X_57),X_57),X_58)) )],[refute_0_17,refute_0_20]) ).

cnf(refute_0_22,plain,
    multiplication(zero,X_58) = zero,
    inference(subst,[],[left_annihilation:[bind(A,$fot(X_58))]]) ).

cnf(refute_0_23,plain,
    ( multiplication(antidomain(X_57),multiplication(X_57,X_58)) != multiplication(zero,X_58)
    | multiplication(zero,X_58) != zero
    | multiplication(antidomain(X_57),multiplication(X_57,X_58)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(antidomain(X_57),multiplication(X_57,X_58)),zero) ),[0],$fot(multiplication(zero,X_58))]]) ).

cnf(refute_0_24,plain,
    ( multiplication(antidomain(X_57),multiplication(X_57,X_58)) != multiplication(zero,X_58)
    | multiplication(antidomain(X_57),multiplication(X_57,X_58)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(zero,X_58),zero) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    multiplication(antidomain(X_57),multiplication(X_57,X_58)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_57),multiplication(X_57,X_58)),multiplication(zero,X_58)) )],[refute_0_21,refute_0_24]) ).

cnf(refute_0_26,plain,
    multiplication(antidomain(addition(antidomain(X_58),X_75)),multiplication(addition(antidomain(X_58),X_75),X_58)) = zero,
    inference(subst,[],[refute_0_25:[bind(X_57,$fot(addition(antidomain(X_58),X_75)))]]) ).

cnf(refute_0_27,plain,
    multiplication(addition(antidomain(X_74),X_73),X_74) = addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74)),
    inference(subst,[],[left_distributivity:[bind(A,$fot(antidomain(X_74))),bind(B,$fot(X_73)),bind(C,$fot(X_74))]]) ).

cnf(refute_0_28,plain,
    multiplication(antidomain(X_74),X_74) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(X_74))]]) ).

cnf(refute_0_29,plain,
    ( multiplication(addition(antidomain(X_74),X_73),X_74) != addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74))
    | multiplication(antidomain(X_74),X_74) != zero
    | multiplication(addition(antidomain(X_74),X_73),X_74) = addition(zero,multiplication(X_73,X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_74),X_73),X_74),addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_30,plain,
    ( multiplication(addition(antidomain(X_74),X_73),X_74) != addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74))
    | multiplication(addition(antidomain(X_74),X_73),X_74) = addition(zero,multiplication(X_73,X_74)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_74),X_74),zero) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    multiplication(addition(antidomain(X_74),X_73),X_74) = addition(zero,multiplication(X_73,X_74)),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_74),X_73),X_74),addition(multiplication(antidomain(X_74),X_74),multiplication(X_73,X_74))) )],[refute_0_27,refute_0_30]) ).

cnf(refute_0_32,plain,
    addition(A,zero) = addition(zero,A),
    inference(subst,[],[additive_commutativity:[bind(B,$fot(zero))]]) ).

cnf(refute_0_33,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_34,plain,
    ( addition(A,zero) != A
    | addition(zero,A) = A ),
    inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    addition(zero,A) = A,
    inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[additive_identity,refute_0_34]) ).

cnf(refute_0_36,plain,
    addition(zero,multiplication(X_73,X_74)) = multiplication(X_73,X_74),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(X_73,X_74)))]]) ).

cnf(refute_0_37,plain,
    ( addition(zero,multiplication(X_73,X_74)) != multiplication(X_73,X_74)
    | multiplication(addition(antidomain(X_74),X_73),X_74) != addition(zero,multiplication(X_73,X_74))
    | multiplication(addition(antidomain(X_74),X_73),X_74) = multiplication(X_73,X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_74),X_73),X_74),addition(zero,multiplication(X_73,X_74))) ),[1],$fot(multiplication(X_73,X_74))]]) ).

cnf(refute_0_38,plain,
    ( multiplication(addition(antidomain(X_74),X_73),X_74) != addition(zero,multiplication(X_73,X_74))
    | multiplication(addition(antidomain(X_74),X_73),X_74) = multiplication(X_73,X_74) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_73,X_74)),multiplication(X_73,X_74)) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    multiplication(addition(antidomain(X_74),X_73),X_74) = multiplication(X_73,X_74),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_74),X_73),X_74),addition(zero,multiplication(X_73,X_74))) )],[refute_0_31,refute_0_38]) ).

cnf(refute_0_40,plain,
    multiplication(addition(antidomain(X_58),X_75),X_58) = multiplication(X_75,X_58),
    inference(subst,[],[refute_0_39:[bind(X_73,$fot(X_75)),bind(X_74,$fot(X_58))]]) ).

cnf(refute_0_41,plain,
    ( multiplication(addition(antidomain(X_58),X_75),X_58) != multiplication(X_75,X_58)
    | multiplication(antidomain(addition(antidomain(X_58),X_75)),multiplication(addition(antidomain(X_58),X_75),X_58)) != zero
    | multiplication(antidomain(addition(antidomain(X_58),X_75)),multiplication(X_75,X_58)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_58),X_75)),multiplication(addition(antidomain(X_58),X_75),X_58)),zero) ),[0,1],$fot(multiplication(X_75,X_58))]]) ).

cnf(refute_0_42,plain,
    ( multiplication(antidomain(addition(antidomain(X_58),X_75)),multiplication(addition(antidomain(X_58),X_75),X_58)) != zero
    | multiplication(antidomain(addition(antidomain(X_58),X_75)),multiplication(X_75,X_58)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_58),X_75),X_58),multiplication(X_75,X_58)) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    multiplication(antidomain(addition(antidomain(X_58),X_75)),multiplication(X_75,X_58)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_58),X_75)),multiplication(addition(antidomain(X_58),X_75),X_58)),zero) )],[refute_0_26,refute_0_42]) ).

cnf(refute_0_44,plain,
    multiplication(antidomain(addition(antidomain(X_143),one)),multiplication(one,X_143)) = zero,
    inference(subst,[],[refute_0_43:[bind(X_58,$fot(X_143)),bind(X_75,$fot(one))]]) ).

cnf(refute_0_45,plain,
    multiplication(one,X_143) = X_143,
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(X_143))]]) ).

cnf(refute_0_46,plain,
    ( multiplication(antidomain(addition(antidomain(X_143),one)),multiplication(one,X_143)) != zero
    | multiplication(one,X_143) != X_143
    | multiplication(antidomain(addition(antidomain(X_143),one)),X_143) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_143),one)),multiplication(one,X_143)),zero) ),[0,1],$fot(X_143)]]) ).

cnf(refute_0_47,plain,
    ( multiplication(antidomain(addition(antidomain(X_143),one)),multiplication(one,X_143)) != zero
    | multiplication(antidomain(addition(antidomain(X_143),one)),X_143) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(one,X_143),X_143) )],[refute_0_45,refute_0_46]) ).

cnf(refute_0_48,plain,
    multiplication(antidomain(addition(antidomain(X_143),one)),X_143) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_143),one)),multiplication(one,X_143)),zero) )],[refute_0_44,refute_0_47]) ).

cnf(refute_0_49,plain,
    ( addition(A,B) != addition(B,A)
    | addition(B,A) = addition(A,B) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).

cnf(refute_0_50,plain,
    addition(B,A) = addition(A,B),
    inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[additive_commutativity,refute_0_49]) ).

cnf(refute_0_51,plain,
    addition(antidomain(X_143),one) = addition(one,antidomain(X_143)),
    inference(subst,[],[refute_0_50:[bind(A,$fot(one)),bind(B,$fot(antidomain(X_143)))]]) ).

cnf(refute_0_52,plain,
    antidomain(addition(antidomain(X_143),one)) = antidomain(addition(antidomain(X_143),one)),
    introduced(tautology,[refl,[$fot(antidomain(addition(antidomain(X_143),one)))]]) ).

cnf(refute_0_53,plain,
    ( addition(antidomain(X_143),one) != addition(one,antidomain(X_143))
    | antidomain(addition(antidomain(X_143),one)) != antidomain(addition(antidomain(X_143),one))
    | antidomain(addition(antidomain(X_143),one)) = antidomain(addition(one,antidomain(X_143))) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(antidomain(X_143),one)),antidomain(addition(antidomain(X_143),one))) ),[1,0],$fot(addition(one,antidomain(X_143)))]]) ).

cnf(refute_0_54,plain,
    ( addition(antidomain(X_143),one) != addition(one,antidomain(X_143))
    | antidomain(addition(antidomain(X_143),one)) = antidomain(addition(one,antidomain(X_143))) ),
    inference(resolve,[$cnf( $equal(antidomain(addition(antidomain(X_143),one)),antidomain(addition(antidomain(X_143),one))) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    antidomain(addition(antidomain(X_143),one)) = antidomain(addition(one,antidomain(X_143))),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_143),one),addition(one,antidomain(X_143))) )],[refute_0_51,refute_0_54]) ).

cnf(refute_0_56,plain,
    multiplication(antidomain(addition(antidomain(X_143),one)),X_143) = multiplication(antidomain(addition(antidomain(X_143),one)),X_143),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(addition(antidomain(X_143),one)),X_143))]]) ).

cnf(refute_0_57,plain,
    ( antidomain(addition(antidomain(X_143),one)) != antidomain(addition(one,antidomain(X_143)))
    | multiplication(antidomain(addition(antidomain(X_143),one)),X_143) != multiplication(antidomain(addition(antidomain(X_143),one)),X_143)
    | multiplication(antidomain(addition(antidomain(X_143),one)),X_143) = multiplication(antidomain(addition(one,antidomain(X_143))),X_143) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_143),one)),X_143),multiplication(antidomain(addition(antidomain(X_143),one)),X_143)) ),[1,0],$fot(antidomain(addition(one,antidomain(X_143))))]]) ).

cnf(refute_0_58,plain,
    ( antidomain(addition(antidomain(X_143),one)) != antidomain(addition(one,antidomain(X_143)))
    | multiplication(antidomain(addition(antidomain(X_143),one)),X_143) = multiplication(antidomain(addition(one,antidomain(X_143))),X_143) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_143),one)),X_143),multiplication(antidomain(addition(antidomain(X_143),one)),X_143)) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    multiplication(antidomain(addition(antidomain(X_143),one)),X_143) = multiplication(antidomain(addition(one,antidomain(X_143))),X_143),
    inference(resolve,[$cnf( $equal(antidomain(addition(antidomain(X_143),one)),antidomain(addition(one,antidomain(X_143)))) )],[refute_0_55,refute_0_58]) ).

cnf(refute_0_60,plain,
    ( multiplication(antidomain(addition(antidomain(X_143),one)),X_143) != multiplication(antidomain(addition(one,antidomain(X_143))),X_143)
    | multiplication(antidomain(addition(antidomain(X_143),one)),X_143) != zero
    | multiplication(antidomain(addition(one,antidomain(X_143))),X_143) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_143),one)),X_143),zero) ),[0],$fot(multiplication(antidomain(addition(one,antidomain(X_143))),X_143))]]) ).

cnf(refute_0_61,plain,
    ( multiplication(antidomain(addition(antidomain(X_143),one)),X_143) != zero
    | multiplication(antidomain(addition(one,antidomain(X_143))),X_143) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_143),one)),X_143),multiplication(antidomain(addition(one,antidomain(X_143))),X_143)) )],[refute_0_59,refute_0_60]) ).

cnf(refute_0_62,plain,
    multiplication(antidomain(addition(one,antidomain(X_143))),X_143) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(X_143),one)),X_143),zero) )],[refute_0_48,refute_0_61]) ).

cnf(refute_0_63,plain,
    multiplication(antidomain(addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99))))),multiplication(antidomain(X_99),domain(X_99))) = zero,
    inference(subst,[],[refute_0_62:[bind(X_143,$fot(multiplication(antidomain(X_99),domain(X_99))))]]) ).

cnf(refute_0_64,plain,
    ( domain(X0) != antidomain(antidomain(X0))
    | antidomain(antidomain(X0)) = domain(X0) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).

cnf(refute_0_65,plain,
    antidomain(antidomain(X0)) = domain(X0),
    inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[domain4,refute_0_64]) ).

cnf(refute_0_66,plain,
    antidomain(antidomain(X1)) = domain(X1),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X1))]]) ).

cnf(refute_0_67,plain,
    multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
    introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).

cnf(refute_0_68,plain,
    ( antidomain(antidomain(X1)) != domain(X1)
    | multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,antidomain(antidomain(X1)))
    | multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) ),[1,1],$fot(domain(X1))]]) ).

cnf(refute_0_69,plain,
    ( antidomain(antidomain(X1)) != domain(X1)
    | multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_67,refute_0_68]) ).

cnf(refute_0_70,plain,
    multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_66,refute_0_69]) ).

cnf(refute_0_71,plain,
    antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
    introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).

cnf(refute_0_72,plain,
    ( antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
    | multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
    | antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) ),[1,0],$fot(multiplication(X0,domain(X1)))]]) ).

cnf(refute_0_73,plain,
    ( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
    | antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
    inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_70,refute_0_73]) ).

cnf(refute_0_75,plain,
    addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).

cnf(refute_0_76,plain,
    ( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))
    | antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
    | addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) ),[1,1],$fot(antidomain(multiplication(X0,domain(X1))))]]) ).

cnf(refute_0_77,plain,
    ( antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
    | addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_74,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
    | addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
    | addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) ),[0],$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))))]]) ).

cnf(refute_0_80,plain,
    ( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
    | addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
    | antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
    | addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) ),[0],$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).

cnf(refute_0_82,plain,
    ( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
    | addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_74,refute_0_81]) ).

cnf(refute_0_83,plain,
    ( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
    | addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_80,refute_0_82]) ).

cnf(refute_0_84,plain,
    addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[domain2,refute_0_83]) ).

cnf(refute_0_85,plain,
    addition(antidomain(multiplication(antidomain(X_99),X_99)),antidomain(multiplication(antidomain(X_99),domain(X_99)))) = antidomain(multiplication(antidomain(X_99),domain(X_99))),
    inference(subst,[],[refute_0_84:[bind(X0,$fot(antidomain(X_99))),bind(X1,$fot(X_99))]]) ).

cnf(refute_0_86,plain,
    multiplication(antidomain(X_99),X_99) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(X_99))]]) ).

cnf(refute_0_87,plain,
    ( addition(antidomain(multiplication(antidomain(X_99),X_99)),antidomain(multiplication(antidomain(X_99),domain(X_99)))) != antidomain(multiplication(antidomain(X_99),domain(X_99)))
    | multiplication(antidomain(X_99),X_99) != zero
    | addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) = antidomain(multiplication(antidomain(X_99),domain(X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_99),X_99)),antidomain(multiplication(antidomain(X_99),domain(X_99)))),antidomain(multiplication(antidomain(X_99),domain(X_99)))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_88,plain,
    ( addition(antidomain(multiplication(antidomain(X_99),X_99)),antidomain(multiplication(antidomain(X_99),domain(X_99)))) != antidomain(multiplication(antidomain(X_99),domain(X_99)))
    | addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) = antidomain(multiplication(antidomain(X_99),domain(X_99))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_99),X_99),zero) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) = antidomain(multiplication(antidomain(X_99),domain(X_99))),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_99),X_99)),antidomain(multiplication(antidomain(X_99),domain(X_99)))),antidomain(multiplication(antidomain(X_99),domain(X_99)))) )],[refute_0_85,refute_0_88]) ).

cnf(refute_0_90,plain,
    addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).

cnf(refute_0_91,plain,
    addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
    inference(subst,[],[refute_0_50:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).

cnf(refute_0_92,plain,
    ( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
    | addition(antidomain(antidomain(X0)),antidomain(X0)) != one
    | addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).

cnf(refute_0_93,plain,
    ( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
    | addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
    inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    addition(antidomain(X0),antidomain(antidomain(X0))) = one,
    inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[domain3,refute_0_93]) ).

cnf(refute_0_95,plain,
    addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
    introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).

cnf(refute_0_96,plain,
    ( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),antidomain(antidomain(X0)))
    | antidomain(antidomain(X0)) != domain(X0)
    | addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) ),[1,1],$fot(domain(X0))]]) ).

cnf(refute_0_97,plain,
    ( antidomain(antidomain(X0)) != domain(X0)
    | addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_65,refute_0_97]) ).

cnf(refute_0_99,plain,
    ( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
    | addition(antidomain(X0),antidomain(antidomain(X0))) != one
    | addition(antidomain(X0),domain(X0)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).

cnf(refute_0_100,plain,
    ( addition(antidomain(X0),antidomain(antidomain(X0))) != one
    | addition(antidomain(X0),domain(X0)) = one ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_98,refute_0_99]) ).

cnf(refute_0_101,plain,
    addition(antidomain(X0),domain(X0)) = one,
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_94,refute_0_100]) ).

cnf(refute_0_102,plain,
    addition(antidomain(one),domain(one)) = one,
    inference(subst,[],[refute_0_101:[bind(X0,$fot(one))]]) ).

cnf(refute_0_103,plain,
    domain(one) = antidomain(antidomain(one)),
    inference(subst,[],[domain4:[bind(X0,$fot(one))]]) ).

cnf(refute_0_104,plain,
    multiplication(antidomain(one),one) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(one))]]) ).

cnf(refute_0_105,plain,
    multiplication(antidomain(one),one) = antidomain(one),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(antidomain(one)))]]) ).

cnf(refute_0_106,plain,
    ( multiplication(antidomain(one),one) != antidomain(one)
    | multiplication(antidomain(one),one) != zero
    | antidomain(one) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),zero) ),[0],$fot(antidomain(one))]]) ).

cnf(refute_0_107,plain,
    ( multiplication(antidomain(one),one) != zero
    | antidomain(one) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    antidomain(one) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_104,refute_0_107]) ).

cnf(refute_0_109,plain,
    ( antidomain(one) != zero
    | domain(one) != antidomain(antidomain(one))
    | domain(one) = antidomain(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_110,plain,
    ( domain(one) != antidomain(antidomain(one))
    | domain(one) = antidomain(zero) ),
    inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_108,refute_0_109]) ).

cnf(refute_0_111,plain,
    domain(one) = antidomain(zero),
    inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_103,refute_0_110]) ).

cnf(refute_0_112,plain,
    ( addition(antidomain(one),domain(one)) != one
    | domain(one) != antidomain(zero)
    | addition(antidomain(one),antidomain(zero)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,1],$fot(antidomain(zero))]]) ).

cnf(refute_0_113,plain,
    ( addition(antidomain(one),domain(one)) != one
    | addition(antidomain(one),antidomain(zero)) = one ),
    inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    addition(antidomain(one),antidomain(zero)) = one,
    inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_102,refute_0_113]) ).

cnf(refute_0_115,plain,
    addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
    introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).

cnf(refute_0_116,plain,
    ( addition(antidomain(one),antidomain(zero)) != addition(antidomain(one),antidomain(zero))
    | antidomain(one) != zero
    | addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_117,plain,
    ( antidomain(one) != zero
    | addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
    inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_108,refute_0_117]) ).

cnf(refute_0_119,plain,
    ( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
    | addition(antidomain(one),antidomain(zero)) != one
    | addition(zero,antidomain(zero)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).

cnf(refute_0_120,plain,
    ( addition(antidomain(one),antidomain(zero)) != one
    | addition(zero,antidomain(zero)) = one ),
    inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    addition(zero,antidomain(zero)) = one,
    inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_114,refute_0_120]) ).

cnf(refute_0_122,plain,
    ( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
    | addition(zero,antidomain(zero)) != one
    | one = addition(antidomain(zero),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).

cnf(refute_0_123,plain,
    ( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
    | one = addition(antidomain(zero),zero) ),
    inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_121,refute_0_122]) ).

cnf(refute_0_124,plain,
    one = addition(antidomain(zero),zero),
    inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_90,refute_0_123]) ).

cnf(refute_0_125,plain,
    addition(antidomain(zero),zero) = antidomain(zero),
    inference(subst,[],[additive_identity:[bind(A,$fot(antidomain(zero)))]]) ).

cnf(refute_0_126,plain,
    ( addition(antidomain(zero),zero) != antidomain(zero)
    | one != addition(antidomain(zero),zero)
    | one = antidomain(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(one,addition(antidomain(zero),zero)) ),[1],$fot(antidomain(zero))]]) ).

cnf(refute_0_127,plain,
    ( one != addition(antidomain(zero),zero)
    | one = antidomain(zero) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    one = antidomain(zero),
    inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_124,refute_0_127]) ).

cnf(refute_0_129,plain,
    ( one != antidomain(zero)
    | antidomain(zero) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).

cnf(refute_0_130,plain,
    antidomain(zero) = one,
    inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))),
    introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))))]]) ).

cnf(refute_0_132,plain,
    ( addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) != addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99))))
    | antidomain(zero) != one
    | addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) = addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))),addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_133,plain,
    ( antidomain(zero) != one
    | addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) = addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))),addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99))))) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) = addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))),
    inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_130,refute_0_133]) ).

cnf(refute_0_135,plain,
    ( addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) != addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99))))
    | addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) != antidomain(multiplication(antidomain(X_99),domain(X_99)))
    | addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))) = antidomain(multiplication(antidomain(X_99),domain(X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))),antidomain(multiplication(antidomain(X_99),domain(X_99)))) ),[0],$fot(addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))))]]) ).

cnf(refute_0_136,plain,
    ( addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))) != antidomain(multiplication(antidomain(X_99),domain(X_99)))
    | addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))) = antidomain(multiplication(antidomain(X_99),domain(X_99))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))),addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99))))) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))) = antidomain(multiplication(antidomain(X_99),domain(X_99))),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_99),domain(X_99)))),antidomain(multiplication(antidomain(X_99),domain(X_99)))) )],[refute_0_89,refute_0_136]) ).

cnf(refute_0_138,plain,
    ( addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))) != antidomain(multiplication(antidomain(X_99),domain(X_99)))
    | multiplication(antidomain(addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99))))),multiplication(antidomain(X_99),domain(X_99))) != zero
    | multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99))))),multiplication(antidomain(X_99),domain(X_99))),zero) ),[0,0,0],$fot(antidomain(multiplication(antidomain(X_99),domain(X_99))))]]) ).

cnf(refute_0_139,plain,
    ( multiplication(antidomain(addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99))))),multiplication(antidomain(X_99),domain(X_99))) != zero
    | multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = zero ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99)))),antidomain(multiplication(antidomain(X_99),domain(X_99)))) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(one,antidomain(multiplication(antidomain(X_99),domain(X_99))))),multiplication(antidomain(X_99),domain(X_99))),zero) )],[refute_0_63,refute_0_139]) ).

cnf(refute_0_141,plain,
    multiplication(addition(antidomain(X_76),domain(X_76)),X_76) = multiplication(domain(X_76),X_76),
    inference(subst,[],[refute_0_39:[bind(X_73,$fot(domain(X_76))),bind(X_74,$fot(X_76))]]) ).

cnf(refute_0_142,plain,
    addition(antidomain(X_76),domain(X_76)) = one,
    inference(subst,[],[refute_0_101:[bind(X0,$fot(X_76))]]) ).

cnf(refute_0_143,plain,
    ( addition(antidomain(X_76),domain(X_76)) != one
    | multiplication(addition(antidomain(X_76),domain(X_76)),X_76) != multiplication(domain(X_76),X_76)
    | multiplication(one,X_76) = multiplication(domain(X_76),X_76) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_76),domain(X_76)),X_76),multiplication(domain(X_76),X_76)) ),[0,0],$fot(one)]]) ).

cnf(refute_0_144,plain,
    ( multiplication(addition(antidomain(X_76),domain(X_76)),X_76) != multiplication(domain(X_76),X_76)
    | multiplication(one,X_76) = multiplication(domain(X_76),X_76) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_76),domain(X_76)),one) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    multiplication(one,X_76) = multiplication(domain(X_76),X_76),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_76),domain(X_76)),X_76),multiplication(domain(X_76),X_76)) )],[refute_0_141,refute_0_144]) ).

cnf(refute_0_146,plain,
    multiplication(one,X_76) = X_76,
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(X_76))]]) ).

cnf(refute_0_147,plain,
    ( multiplication(one,X_76) != X_76
    | multiplication(one,X_76) != multiplication(domain(X_76),X_76)
    | X_76 = multiplication(domain(X_76),X_76) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_76),multiplication(domain(X_76),X_76)) ),[0],$fot(X_76)]]) ).

cnf(refute_0_148,plain,
    ( multiplication(one,X_76) != multiplication(domain(X_76),X_76)
    | X_76 = multiplication(domain(X_76),X_76) ),
    inference(resolve,[$cnf( $equal(multiplication(one,X_76),X_76) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    X_76 = multiplication(domain(X_76),X_76),
    inference(resolve,[$cnf( $equal(multiplication(one,X_76),multiplication(domain(X_76),X_76)) )],[refute_0_145,refute_0_148]) ).

cnf(refute_0_150,plain,
    ( X_76 != multiplication(domain(X_76),X_76)
    | multiplication(domain(X_76),X_76) = X_76 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_76)),bind(Y,$fot(multiplication(domain(X_76),X_76)))]]) ).

cnf(refute_0_151,plain,
    multiplication(domain(X_76),X_76) = X_76,
    inference(resolve,[$cnf( $equal(X_76,multiplication(domain(X_76),X_76)) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))) = multiplication(antidomain(X_99),domain(X_99)),
    inference(subst,[],[refute_0_151:[bind(X_76,$fot(multiplication(antidomain(X_99),domain(X_99))))]]) ).

cnf(refute_0_153,plain,
    antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))) = domain(multiplication(antidomain(X_99),domain(X_99))),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(multiplication(antidomain(X_99),domain(X_99))))]]) ).

cnf(refute_0_154,plain,
    multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))))]]) ).

cnf(refute_0_155,plain,
    ( antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))) != domain(multiplication(antidomain(X_99),domain(X_99)))
    | multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) != multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99)))
    | multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99)))) ),[1,0],$fot(domain(multiplication(antidomain(X_99),domain(X_99))))]]) ).

cnf(refute_0_156,plain,
    ( antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))) != domain(multiplication(antidomain(X_99),domain(X_99)))
    | multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99)))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),domain(multiplication(antidomain(X_99),domain(X_99)))) )],[refute_0_153,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_159,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_9,refute_0_158]) ).

cnf(refute_0_160,plain,
    ( multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) != multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99)))
    | multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))) != multiplication(antidomain(X_99),domain(X_99))
    | multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = multiplication(antidomain(X_99),domain(X_99)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))))),bind(Y,$fot(multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))))),bind(Z,$fot(multiplication(antidomain(X_99),domain(X_99))))]]) ).

cnf(refute_0_161,plain,
    ( multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))) != multiplication(antidomain(X_99),domain(X_99))
    | multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = multiplication(antidomain(X_99),domain(X_99)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))),multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99)))) )],[refute_0_157,refute_0_160]) ).

cnf(refute_0_162,plain,
    multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) = multiplication(antidomain(X_99),domain(X_99)),
    inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))) )],[refute_0_152,refute_0_161]) ).

cnf(refute_0_163,plain,
    ( multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) != multiplication(antidomain(X_99),domain(X_99))
    | multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) != zero
    | multiplication(antidomain(X_99),domain(X_99)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))),zero) ),[0],$fot(multiplication(antidomain(X_99),domain(X_99)))]]) ).

cnf(refute_0_164,plain,
    ( multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))) != zero
    | multiplication(antidomain(X_99),domain(X_99)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))),multiplication(antidomain(X_99),domain(X_99))) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    multiplication(antidomain(X_99),domain(X_99)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(antidomain(X_99),domain(X_99)))),multiplication(antidomain(X_99),domain(X_99))),zero) )],[refute_0_140,refute_0_164]) ).

cnf(refute_0_166,plain,
    ( multiplication(antidomain(X_99),addition(X_216,domain(X_99))) != addition(multiplication(antidomain(X_99),X_216),multiplication(antidomain(X_99),domain(X_99)))
    | multiplication(antidomain(X_99),domain(X_99)) != zero
    | multiplication(antidomain(X_99),addition(X_216,domain(X_99))) = addition(multiplication(antidomain(X_99),X_216),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_99),addition(X_216,domain(X_99))),addition(multiplication(antidomain(X_99),X_216),multiplication(antidomain(X_99),domain(X_99)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_167,plain,
    ( multiplication(antidomain(X_99),addition(X_216,domain(X_99))) != addition(multiplication(antidomain(X_99),X_216),multiplication(antidomain(X_99),domain(X_99)))
    | multiplication(antidomain(X_99),addition(X_216,domain(X_99))) = addition(multiplication(antidomain(X_99),X_216),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_99),domain(X_99)),zero) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    multiplication(antidomain(X_99),addition(X_216,domain(X_99))) = addition(multiplication(antidomain(X_99),X_216),zero),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_99),addition(X_216,domain(X_99))),addition(multiplication(antidomain(X_99),X_216),multiplication(antidomain(X_99),domain(X_99)))) )],[refute_0_16,refute_0_167]) ).

cnf(refute_0_169,plain,
    addition(multiplication(antidomain(X_99),X_216),zero) = multiplication(antidomain(X_99),X_216),
    inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(antidomain(X_99),X_216)))]]) ).

cnf(refute_0_170,plain,
    ( addition(multiplication(antidomain(X_99),X_216),zero) != multiplication(antidomain(X_99),X_216)
    | multiplication(antidomain(X_99),addition(X_216,domain(X_99))) != addition(multiplication(antidomain(X_99),X_216),zero)
    | multiplication(antidomain(X_99),addition(X_216,domain(X_99))) = multiplication(antidomain(X_99),X_216) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_99),addition(X_216,domain(X_99))),addition(multiplication(antidomain(X_99),X_216),zero)) ),[1],$fot(multiplication(antidomain(X_99),X_216))]]) ).

cnf(refute_0_171,plain,
    ( multiplication(antidomain(X_99),addition(X_216,domain(X_99))) != addition(multiplication(antidomain(X_99),X_216),zero)
    | multiplication(antidomain(X_99),addition(X_216,domain(X_99))) = multiplication(antidomain(X_99),X_216) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_99),X_216),zero),multiplication(antidomain(X_99),X_216)) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    multiplication(antidomain(X_99),addition(X_216,domain(X_99))) = multiplication(antidomain(X_99),X_216),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_99),addition(X_216,domain(X_99))),addition(multiplication(antidomain(X_99),X_216),zero)) )],[refute_0_168,refute_0_171]) ).

cnf(refute_0_173,plain,
    multiplication(antidomain(sK1_goals_X1),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
    inference(subst,[],[refute_0_172:[bind(X_216,$fot(antidomain(sK2_goals_X0))),bind(X_99,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_174,plain,
    multiplication(X_215,addition(X_216,one)) = addition(multiplication(X_215,X_216),multiplication(X_215,one)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(X_215)),bind(B,$fot(X_216)),bind(C,$fot(one))]]) ).

cnf(refute_0_175,plain,
    multiplication(X_215,one) = X_215,
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_215))]]) ).

cnf(refute_0_176,plain,
    ( multiplication(X_215,addition(X_216,one)) != addition(multiplication(X_215,X_216),multiplication(X_215,one))
    | multiplication(X_215,one) != X_215
    | multiplication(X_215,addition(X_216,one)) = addition(multiplication(X_215,X_216),X_215) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(X_216,one)),addition(multiplication(X_215,X_216),multiplication(X_215,one))) ),[1,1],$fot(X_215)]]) ).

cnf(refute_0_177,plain,
    ( multiplication(X_215,addition(X_216,one)) != addition(multiplication(X_215,X_216),multiplication(X_215,one))
    | multiplication(X_215,addition(X_216,one)) = addition(multiplication(X_215,X_216),X_215) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,one),X_215) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    multiplication(X_215,addition(X_216,one)) = addition(multiplication(X_215,X_216),X_215),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(X_216,one)),addition(multiplication(X_215,X_216),multiplication(X_215,one))) )],[refute_0_174,refute_0_177]) ).

cnf(refute_0_179,plain,
    addition(multiplication(X_215,X_216),X_215) = addition(X_215,multiplication(X_215,X_216)),
    inference(subst,[],[refute_0_50:[bind(A,$fot(X_215)),bind(B,$fot(multiplication(X_215,X_216)))]]) ).

cnf(refute_0_180,plain,
    ( addition(multiplication(X_215,X_216),X_215) != addition(X_215,multiplication(X_215,X_216))
    | multiplication(X_215,addition(X_216,one)) != addition(multiplication(X_215,X_216),X_215)
    | multiplication(X_215,addition(X_216,one)) = addition(X_215,multiplication(X_215,X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(X_216,one)),addition(multiplication(X_215,X_216),X_215)) ),[1],$fot(addition(X_215,multiplication(X_215,X_216)))]]) ).

cnf(refute_0_181,plain,
    ( multiplication(X_215,addition(X_216,one)) != addition(multiplication(X_215,X_216),X_215)
    | multiplication(X_215,addition(X_216,one)) = addition(X_215,multiplication(X_215,X_216)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_215,X_216),X_215),addition(X_215,multiplication(X_215,X_216))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    multiplication(X_215,addition(X_216,one)) = addition(X_215,multiplication(X_215,X_216)),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(X_216,one)),addition(multiplication(X_215,X_216),X_215)) )],[refute_0_178,refute_0_181]) ).

cnf(refute_0_183,plain,
    multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) = addition(addition(X_243,antidomain(X_216)),multiplication(addition(X_243,antidomain(X_216)),X_216)),
    inference(subst,[],[refute_0_182:[bind(X_215,$fot(addition(X_243,antidomain(X_216))))]]) ).

cnf(refute_0_184,plain,
    multiplication(addition(X_72,antidomain(X_74)),X_74) = addition(multiplication(X_72,X_74),multiplication(antidomain(X_74),X_74)),
    inference(subst,[],[left_distributivity:[bind(A,$fot(X_72)),bind(B,$fot(antidomain(X_74))),bind(C,$fot(X_74))]]) ).

cnf(refute_0_185,plain,
    ( multiplication(addition(X_72,antidomain(X_74)),X_74) != addition(multiplication(X_72,X_74),multiplication(antidomain(X_74),X_74))
    | multiplication(antidomain(X_74),X_74) != zero
    | multiplication(addition(X_72,antidomain(X_74)),X_74) = addition(multiplication(X_72,X_74),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,antidomain(X_74)),X_74),addition(multiplication(X_72,X_74),multiplication(antidomain(X_74),X_74))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_186,plain,
    ( multiplication(addition(X_72,antidomain(X_74)),X_74) != addition(multiplication(X_72,X_74),multiplication(antidomain(X_74),X_74))
    | multiplication(addition(X_72,antidomain(X_74)),X_74) = addition(multiplication(X_72,X_74),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_74),X_74),zero) )],[refute_0_28,refute_0_185]) ).

cnf(refute_0_187,plain,
    multiplication(addition(X_72,antidomain(X_74)),X_74) = addition(multiplication(X_72,X_74),zero),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,antidomain(X_74)),X_74),addition(multiplication(X_72,X_74),multiplication(antidomain(X_74),X_74))) )],[refute_0_184,refute_0_186]) ).

cnf(refute_0_188,plain,
    addition(multiplication(X_72,X_74),zero) = multiplication(X_72,X_74),
    inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(X_72,X_74)))]]) ).

cnf(refute_0_189,plain,
    ( addition(multiplication(X_72,X_74),zero) != multiplication(X_72,X_74)
    | multiplication(addition(X_72,antidomain(X_74)),X_74) != addition(multiplication(X_72,X_74),zero)
    | multiplication(addition(X_72,antidomain(X_74)),X_74) = multiplication(X_72,X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,antidomain(X_74)),X_74),addition(multiplication(X_72,X_74),zero)) ),[1],$fot(multiplication(X_72,X_74))]]) ).

cnf(refute_0_190,plain,
    ( multiplication(addition(X_72,antidomain(X_74)),X_74) != addition(multiplication(X_72,X_74),zero)
    | multiplication(addition(X_72,antidomain(X_74)),X_74) = multiplication(X_72,X_74) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_72,X_74),zero),multiplication(X_72,X_74)) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    multiplication(addition(X_72,antidomain(X_74)),X_74) = multiplication(X_72,X_74),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,antidomain(X_74)),X_74),addition(multiplication(X_72,X_74),zero)) )],[refute_0_187,refute_0_190]) ).

cnf(refute_0_192,plain,
    multiplication(addition(X_243,antidomain(X_216)),X_216) = multiplication(X_243,X_216),
    inference(subst,[],[refute_0_191:[bind(X_72,$fot(X_243)),bind(X_74,$fot(X_216))]]) ).

cnf(refute_0_193,plain,
    ( multiplication(addition(X_243,antidomain(X_216)),X_216) != multiplication(X_243,X_216)
    | multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) != addition(addition(X_243,antidomain(X_216)),multiplication(addition(X_243,antidomain(X_216)),X_216))
    | multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) = addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)),addition(addition(X_243,antidomain(X_216)),multiplication(addition(X_243,antidomain(X_216)),X_216))) ),[1,1],$fot(multiplication(X_243,X_216))]]) ).

cnf(refute_0_194,plain,
    ( multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) != addition(addition(X_243,antidomain(X_216)),multiplication(addition(X_243,antidomain(X_216)),X_216))
    | multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) = addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(X_216)),X_216),multiplication(X_243,X_216)) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) = addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216)),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)),addition(addition(X_243,antidomain(X_216)),multiplication(addition(X_243,antidomain(X_216)),X_216))) )],[refute_0_183,refute_0_194]) ).

cnf(refute_0_196,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_9:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).

cnf(refute_0_197,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)) )],[additive_associativity,refute_0_196]) ).

cnf(refute_0_198,plain,
    addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216)) = addition(X_243,addition(antidomain(X_216),multiplication(X_243,X_216))),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_243)),bind(B,$fot(antidomain(X_216))),bind(C,$fot(multiplication(X_243,X_216)))]]) ).

cnf(refute_0_199,plain,
    ( addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216)) != addition(X_243,addition(antidomain(X_216),multiplication(X_243,X_216)))
    | multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) != addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216))
    | multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) = addition(X_243,addition(antidomain(X_216),multiplication(X_243,X_216))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)),addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216))) ),[1],$fot(addition(X_243,addition(antidomain(X_216),multiplication(X_243,X_216))))]]) ).

cnf(refute_0_200,plain,
    ( multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) != addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216))
    | multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) = addition(X_243,addition(antidomain(X_216),multiplication(X_243,X_216))) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216)),addition(X_243,addition(antidomain(X_216),multiplication(X_243,X_216)))) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)) = addition(X_243,addition(antidomain(X_216),multiplication(X_243,X_216))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(X_216)),addition(X_216,one)),addition(addition(X_243,antidomain(X_216)),multiplication(X_243,X_216))) )],[refute_0_195,refute_0_200]) ).

cnf(refute_0_202,plain,
    multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) = addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)))),
    inference(subst,[],[refute_0_201:[bind(X_216,$fot(domain(sK2_goals_X0))),bind(X_243,$fot(domain(sK1_goals_X1)))]]) ).

cnf(refute_0_203,plain,
    multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) = addition(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),multiplication(B,domain(sK2_goals_X0))),
    inference(subst,[],[left_distributivity:[bind(A,$fot(antidomain(sK1_goals_X1))),bind(C,$fot(domain(sK2_goals_X0)))]]) ).

cnf(refute_0_204,plain,
    multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))))]]) ).

cnf(refute_0_205,plain,
    ( codomain(X0) != coantidomain(coantidomain(X0))
    | coantidomain(coantidomain(X0)) = codomain(X0) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).

cnf(refute_0_206,plain,
    coantidomain(coantidomain(X0)) = codomain(X0),
    inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[codomain4,refute_0_205]) ).

cnf(refute_0_207,plain,
    multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(coantidomain(coantidomain(X0)),X1),
    introduced(tautology,[refl,[$fot(multiplication(coantidomain(coantidomain(X0)),X1))]]) ).

cnf(refute_0_208,plain,
    ( coantidomain(coantidomain(X0)) != codomain(X0)
    | multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(coantidomain(coantidomain(X0)),X1)
    | multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(coantidomain(coantidomain(X0)),X1)) ),[1,0],$fot(codomain(X0))]]) ).

cnf(refute_0_209,plain,
    ( coantidomain(coantidomain(X0)) != codomain(X0)
    | multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(coantidomain(coantidomain(X0)),X1)) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_206,refute_0_209]) ).

cnf(refute_0_211,plain,
    coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
    introduced(tautology,[refl,[$fot(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))]]) ).

cnf(refute_0_212,plain,
    ( coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
    | multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(codomain(X0),X1)
    | coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) ),[1,0],$fot(multiplication(codomain(X0),X1))]]) ).

cnf(refute_0_213,plain,
    ( multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(codomain(X0),X1)
    | coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)) ),
    inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(codomain(X0),X1)) )],[refute_0_210,refute_0_213]) ).

cnf(refute_0_215,plain,
    addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))))]]) ).

cnf(refute_0_216,plain,
    ( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))
    | coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
    | addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))) ),[1,1],$fot(coantidomain(multiplication(codomain(X0),X1)))]]) ).

cnf(refute_0_217,plain,
    ( coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
    | addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))) )],[refute_0_215,refute_0_216]) ).

cnf(refute_0_218,plain,
    addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),
    inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_214,refute_0_217]) ).

cnf(refute_0_219,plain,
    ( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))
    | addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
    | addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) ),[0],$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))))]]) ).

cnf(refute_0_220,plain,
    ( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
    | addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
    | coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
    | addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(codomain(X0),X1))) ),[0],$fot(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))]]) ).

cnf(refute_0_222,plain,
    ( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
    | addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
    inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_214,refute_0_221]) ).

cnf(refute_0_223,plain,
    ( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
    | addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_220,refute_0_222]) ).

cnf(refute_0_224,plain,
    addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[codomain2,refute_0_223]) ).

cnf(refute_0_225,plain,
    addition(coantidomain(multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))),
    inference(subst,[],[refute_0_224:[bind(X0,$fot(antidomain(multiplication(X0,X1)))),bind(X1,$fot(multiplication(X0,domain(X1))))]]) ).

cnf(refute_0_226,plain,
    multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))) = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
    inference(subst,[],[refute_0_191:[bind(X_72,$fot(antidomain(multiplication(X0,X1)))),bind(X_74,$fot(multiplication(X0,domain(X1))))]]) ).

cnf(refute_0_227,plain,
    ( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1)))
    | multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))) != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
    | multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))),multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) ),[0,0],$fot(antidomain(multiplication(X0,domain(X1))))]]) ).

cnf(refute_0_228,plain,
    ( multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))) != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
    | multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_84,refute_0_227]) ).

cnf(refute_0_229,plain,
    multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))),multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) )],[refute_0_226,refute_0_228]) ).

cnf(refute_0_230,plain,
    multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(multiplication(X0,domain(X1))))]]) ).

cnf(refute_0_231,plain,
    ( multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
    | multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) != zero
    | zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) ),[0],$fot(zero)]]) ).

cnf(refute_0_232,plain,
    ( multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
    | zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),zero) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) )],[refute_0_229,refute_0_232]) ).

cnf(refute_0_234,plain,
    ( zero != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
    | multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))))]]) ).

cnf(refute_0_235,plain,
    multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = zero,
    inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) )],[refute_0_233,refute_0_234]) ).

cnf(refute_0_236,plain,
    ( addition(coantidomain(multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))
    | multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) != zero
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_237,plain,
    ( addition(coantidomain(multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))),zero) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) )],[refute_0_225,refute_0_237]) ).

cnf(refute_0_239,plain,
    addition(codomain(X0),addition(coantidomain(codomain(X0)),X_161)) = addition(addition(codomain(X0),coantidomain(codomain(X0))),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(codomain(X0))),bind(B,$fot(coantidomain(codomain(X0)))),bind(C,$fot(X_161))]]) ).

cnf(refute_0_240,plain,
    addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
    inference(subst,[],[refute_0_50:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).

cnf(refute_0_241,plain,
    ( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
    | addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
    | addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) ),[0],$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).

cnf(refute_0_242,plain,
    ( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
    | addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
    inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[codomain3,refute_0_242]) ).

cnf(refute_0_244,plain,
    addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).

cnf(refute_0_245,plain,
    ( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
    | coantidomain(coantidomain(X0)) != codomain(X0)
    | addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) ),[1,1],$fot(codomain(X0))]]) ).

cnf(refute_0_246,plain,
    ( coantidomain(coantidomain(X0)) != codomain(X0)
    | addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_206,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
    | addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
    | addition(coantidomain(X0),codomain(X0)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).

cnf(refute_0_249,plain,
    ( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
    | addition(coantidomain(X0),codomain(X0)) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    addition(coantidomain(X0),codomain(X0)) = one,
    inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_243,refute_0_249]) ).

cnf(refute_0_251,plain,
    addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) = one,
    inference(subst,[],[refute_0_250:[bind(X0,$fot(coantidomain(X0)))]]) ).

cnf(refute_0_252,plain,
    ( addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) != one
    | coantidomain(coantidomain(X0)) != codomain(X0)
    | addition(codomain(X0),codomain(coantidomain(X0))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))),one) ),[0,0],$fot(codomain(X0))]]) ).

cnf(refute_0_253,plain,
    ( addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) != one
    | addition(codomain(X0),codomain(coantidomain(X0))) = one ),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_206,refute_0_252]) ).

cnf(refute_0_254,plain,
    addition(codomain(X0),codomain(coantidomain(X0))) = one,
    inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))),one) )],[refute_0_251,refute_0_253]) ).

cnf(refute_0_255,plain,
    codomain(coantidomain(X_7)) = coantidomain(coantidomain(coantidomain(X_7))),
    inference(subst,[],[codomain4:[bind(X0,$fot(coantidomain(X_7)))]]) ).

cnf(refute_0_256,plain,
    codomain(X_7) = coantidomain(coantidomain(X_7)),
    inference(subst,[],[codomain4:[bind(X0,$fot(X_7))]]) ).

cnf(refute_0_257,plain,
    ( codomain(X_7) != coantidomain(coantidomain(X_7))
    | coantidomain(coantidomain(X_7)) = codomain(X_7) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(codomain(X_7))),bind(Y,$fot(coantidomain(coantidomain(X_7))))]]) ).

cnf(refute_0_258,plain,
    coantidomain(coantidomain(X_7)) = codomain(X_7),
    inference(resolve,[$cnf( $equal(codomain(X_7),coantidomain(coantidomain(X_7))) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    ( coantidomain(coantidomain(X_7)) != codomain(X_7)
    | codomain(coantidomain(X_7)) != coantidomain(coantidomain(coantidomain(X_7)))
    | codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(coantidomain(coantidomain(X_7)))) ),[1,0],$fot(codomain(X_7))]]) ).

cnf(refute_0_260,plain,
    ( codomain(coantidomain(X_7)) != coantidomain(coantidomain(coantidomain(X_7)))
    | codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)) ),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_7)),codomain(X_7)) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(coantidomain(coantidomain(X_7)))) )],[refute_0_255,refute_0_260]) ).

cnf(refute_0_262,plain,
    codomain(coantidomain(X0)) = coantidomain(codomain(X0)),
    inference(subst,[],[refute_0_261:[bind(X_7,$fot(X0))]]) ).

cnf(refute_0_263,plain,
    addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),codomain(coantidomain(X0))),
    introduced(tautology,[refl,[$fot(addition(codomain(X0),codomain(coantidomain(X0))))]]) ).

cnf(refute_0_264,plain,
    ( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),codomain(coantidomain(X0)))
    | codomain(coantidomain(X0)) != coantidomain(codomain(X0))
    | addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) ),[1,1],$fot(coantidomain(codomain(X0)))]]) ).

cnf(refute_0_265,plain,
    ( codomain(coantidomain(X0)) != coantidomain(codomain(X0))
    | addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) )],[refute_0_263,refute_0_264]) ).

cnf(refute_0_266,plain,
    addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X0)),coantidomain(codomain(X0))) )],[refute_0_262,refute_0_265]) ).

cnf(refute_0_267,plain,
    ( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),coantidomain(codomain(X0)))
    | addition(codomain(X0),codomain(coantidomain(X0))) != one
    | addition(codomain(X0),coantidomain(codomain(X0))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) ),[0],$fot(addition(codomain(X0),coantidomain(codomain(X0))))]]) ).

cnf(refute_0_268,plain,
    ( addition(codomain(X0),codomain(coantidomain(X0))) != one
    | addition(codomain(X0),coantidomain(codomain(X0))) = one ),
    inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),coantidomain(codomain(X0)))) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    addition(codomain(X0),coantidomain(codomain(X0))) = one,
    inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) )],[refute_0_254,refute_0_268]) ).

cnf(refute_0_270,plain,
    ( addition(codomain(X0),addition(coantidomain(codomain(X0)),X_161)) != addition(addition(codomain(X0),coantidomain(codomain(X0))),X_161)
    | addition(codomain(X0),coantidomain(codomain(X0))) != one
    | addition(codomain(X0),addition(coantidomain(codomain(X0)),X_161)) = addition(one,X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),addition(coantidomain(codomain(X0)),X_161)),addition(addition(codomain(X0),coantidomain(codomain(X0))),X_161)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_271,plain,
    ( addition(codomain(X0),addition(coantidomain(codomain(X0)),X_161)) != addition(addition(codomain(X0),coantidomain(codomain(X0))),X_161)
    | addition(codomain(X0),addition(coantidomain(codomain(X0)),X_161)) = addition(one,X_161) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X0),coantidomain(codomain(X0))),one) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    addition(codomain(X0),addition(coantidomain(codomain(X0)),X_161)) = addition(one,X_161),
    inference(resolve,[$cnf( $equal(addition(codomain(X0),addition(coantidomain(codomain(X0)),X_161)),addition(addition(codomain(X0),coantidomain(codomain(X0))),X_161)) )],[refute_0_239,refute_0_271]) ).

cnf(refute_0_273,plain,
    addition(codomain(X_164),addition(coantidomain(codomain(X_164)),coantidomain(codomain(X_164)))) = addition(one,coantidomain(codomain(X_164))),
    inference(subst,[],[refute_0_272:[bind(X0,$fot(X_164)),bind(X_161,$fot(coantidomain(codomain(X_164))))]]) ).

cnf(refute_0_274,plain,
    addition(coantidomain(codomain(X_164)),coantidomain(codomain(X_164))) = coantidomain(codomain(X_164)),
    inference(subst,[],[additive_idempotence:[bind(A,$fot(coantidomain(codomain(X_164))))]]) ).

cnf(refute_0_275,plain,
    ( addition(coantidomain(codomain(X_164)),coantidomain(codomain(X_164))) != coantidomain(codomain(X_164))
    | addition(codomain(X_164),addition(coantidomain(codomain(X_164)),coantidomain(codomain(X_164)))) != addition(one,coantidomain(codomain(X_164)))
    | addition(codomain(X_164),coantidomain(codomain(X_164))) = addition(one,coantidomain(codomain(X_164))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_164),addition(coantidomain(codomain(X_164)),coantidomain(codomain(X_164)))),addition(one,coantidomain(codomain(X_164)))) ),[0,1],$fot(coantidomain(codomain(X_164)))]]) ).

cnf(refute_0_276,plain,
    ( addition(codomain(X_164),addition(coantidomain(codomain(X_164)),coantidomain(codomain(X_164)))) != addition(one,coantidomain(codomain(X_164)))
    | addition(codomain(X_164),coantidomain(codomain(X_164))) = addition(one,coantidomain(codomain(X_164))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_164)),coantidomain(codomain(X_164))),coantidomain(codomain(X_164))) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    addition(codomain(X_164),coantidomain(codomain(X_164))) = addition(one,coantidomain(codomain(X_164))),
    inference(resolve,[$cnf( $equal(addition(codomain(X_164),addition(coantidomain(codomain(X_164)),coantidomain(codomain(X_164)))),addition(one,coantidomain(codomain(X_164)))) )],[refute_0_273,refute_0_276]) ).

cnf(refute_0_278,plain,
    addition(codomain(X_164),coantidomain(codomain(X_164))) = one,
    inference(subst,[],[refute_0_269:[bind(X0,$fot(X_164))]]) ).

cnf(refute_0_279,plain,
    ( addition(codomain(X_164),coantidomain(codomain(X_164))) != addition(one,coantidomain(codomain(X_164)))
    | addition(codomain(X_164),coantidomain(codomain(X_164))) != one
    | one = addition(one,coantidomain(codomain(X_164))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_164),coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))) ),[0],$fot(one)]]) ).

cnf(refute_0_280,plain,
    ( addition(codomain(X_164),coantidomain(codomain(X_164))) != addition(one,coantidomain(codomain(X_164)))
    | one = addition(one,coantidomain(codomain(X_164))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X_164),coantidomain(codomain(X_164))),one) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    one = addition(one,coantidomain(codomain(X_164))),
    inference(resolve,[$cnf( $equal(addition(codomain(X_164),coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))) )],[refute_0_277,refute_0_280]) ).

cnf(refute_0_282,plain,
    multiplication(addition(X_72,X_73),coantidomain(X_73)) = addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73))),
    inference(subst,[],[left_distributivity:[bind(A,$fot(X_72)),bind(B,$fot(X_73)),bind(C,$fot(coantidomain(X_73)))]]) ).

cnf(refute_0_283,plain,
    multiplication(X_73,coantidomain(X_73)) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(X_73))]]) ).

cnf(refute_0_284,plain,
    ( multiplication(X_73,coantidomain(X_73)) != zero
    | multiplication(addition(X_72,X_73),coantidomain(X_73)) != addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73)))
    | multiplication(addition(X_72,X_73),coantidomain(X_73)) = addition(multiplication(X_72,coantidomain(X_73)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,X_73),coantidomain(X_73)),addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_285,plain,
    ( multiplication(addition(X_72,X_73),coantidomain(X_73)) != addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73)))
    | multiplication(addition(X_72,X_73),coantidomain(X_73)) = addition(multiplication(X_72,coantidomain(X_73)),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(X_73,coantidomain(X_73)),zero) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    multiplication(addition(X_72,X_73),coantidomain(X_73)) = addition(multiplication(X_72,coantidomain(X_73)),zero),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,X_73),coantidomain(X_73)),addition(multiplication(X_72,coantidomain(X_73)),multiplication(X_73,coantidomain(X_73)))) )],[refute_0_282,refute_0_285]) ).

cnf(refute_0_287,plain,
    addition(multiplication(X_72,coantidomain(X_73)),zero) = multiplication(X_72,coantidomain(X_73)),
    inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(X_72,coantidomain(X_73))))]]) ).

cnf(refute_0_288,plain,
    ( addition(multiplication(X_72,coantidomain(X_73)),zero) != multiplication(X_72,coantidomain(X_73))
    | multiplication(addition(X_72,X_73),coantidomain(X_73)) != addition(multiplication(X_72,coantidomain(X_73)),zero)
    | multiplication(addition(X_72,X_73),coantidomain(X_73)) = multiplication(X_72,coantidomain(X_73)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,X_73),coantidomain(X_73)),addition(multiplication(X_72,coantidomain(X_73)),zero)) ),[1],$fot(multiplication(X_72,coantidomain(X_73)))]]) ).

cnf(refute_0_289,plain,
    ( multiplication(addition(X_72,X_73),coantidomain(X_73)) != addition(multiplication(X_72,coantidomain(X_73)),zero)
    | multiplication(addition(X_72,X_73),coantidomain(X_73)) = multiplication(X_72,coantidomain(X_73)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_72,coantidomain(X_73)),zero),multiplication(X_72,coantidomain(X_73))) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    multiplication(addition(X_72,X_73),coantidomain(X_73)) = multiplication(X_72,coantidomain(X_73)),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,X_73),coantidomain(X_73)),addition(multiplication(X_72,coantidomain(X_73)),zero)) )],[refute_0_286,refute_0_289]) ).

cnf(refute_0_291,plain,
    multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
    inference(subst,[],[refute_0_290:[bind(X_72,$fot(coantidomain(X0))),bind(X_73,$fot(codomain(X0)))]]) ).

cnf(refute_0_292,plain,
    ( addition(coantidomain(X0),codomain(X0)) != one
    | multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_293,plain,
    ( multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_250,refute_0_292]) ).

cnf(refute_0_294,plain,
    multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_291,refute_0_293]) ).

cnf(refute_0_295,plain,
    multiplication(one,coantidomain(codomain(X0))) = coantidomain(codomain(X0)),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(coantidomain(codomain(X0))))]]) ).

cnf(refute_0_296,plain,
    ( multiplication(one,coantidomain(codomain(X0))) != coantidomain(codomain(X0))
    | multiplication(one,coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[0],$fot(coantidomain(codomain(X0)))]]) ).

cnf(refute_0_297,plain,
    ( multiplication(one,coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),coantidomain(codomain(X0))) )],[refute_0_295,refute_0_296]) ).

cnf(refute_0_298,plain,
    coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_294,refute_0_297]) ).

cnf(refute_0_299,plain,
    multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) = addition(multiplication(X_72,antidomain(X_8)),multiplication(domain(X_8),antidomain(X_8))),
    inference(subst,[],[left_distributivity:[bind(A,$fot(X_72)),bind(B,$fot(domain(X_8))),bind(C,$fot(antidomain(X_8)))]]) ).

cnf(refute_0_300,plain,
    multiplication(antidomain(antidomain(X_8)),antidomain(X_8)) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(antidomain(X_8)))]]) ).

cnf(refute_0_301,plain,
    domain(X_8) = antidomain(antidomain(X_8)),
    inference(subst,[],[domain4:[bind(X0,$fot(X_8))]]) ).

cnf(refute_0_302,plain,
    ( domain(X_8) != antidomain(antidomain(X_8))
    | antidomain(antidomain(X_8)) = domain(X_8) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(domain(X_8))),bind(Y,$fot(antidomain(antidomain(X_8))))]]) ).

cnf(refute_0_303,plain,
    antidomain(antidomain(X_8)) = domain(X_8),
    inference(resolve,[$cnf( $equal(domain(X_8),antidomain(antidomain(X_8))) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    ( antidomain(antidomain(X_8)) != domain(X_8)
    | multiplication(antidomain(antidomain(X_8)),antidomain(X_8)) != zero
    | multiplication(domain(X_8),antidomain(X_8)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(X_8)),antidomain(X_8)),zero) ),[0,0],$fot(domain(X_8))]]) ).

cnf(refute_0_305,plain,
    ( multiplication(antidomain(antidomain(X_8)),antidomain(X_8)) != zero
    | multiplication(domain(X_8),antidomain(X_8)) = zero ),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(X_8)),domain(X_8)) )],[refute_0_303,refute_0_304]) ).

cnf(refute_0_306,plain,
    multiplication(domain(X_8),antidomain(X_8)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X_8)),antidomain(X_8)),zero) )],[refute_0_300,refute_0_305]) ).

cnf(refute_0_307,plain,
    ( multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) != addition(multiplication(X_72,antidomain(X_8)),multiplication(domain(X_8),antidomain(X_8)))
    | multiplication(domain(X_8),antidomain(X_8)) != zero
    | multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) = addition(multiplication(X_72,antidomain(X_8)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,domain(X_8)),antidomain(X_8)),addition(multiplication(X_72,antidomain(X_8)),multiplication(domain(X_8),antidomain(X_8)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_308,plain,
    ( multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) != addition(multiplication(X_72,antidomain(X_8)),multiplication(domain(X_8),antidomain(X_8)))
    | multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) = addition(multiplication(X_72,antidomain(X_8)),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_8),antidomain(X_8)),zero) )],[refute_0_306,refute_0_307]) ).

cnf(refute_0_309,plain,
    multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) = addition(multiplication(X_72,antidomain(X_8)),zero),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,domain(X_8)),antidomain(X_8)),addition(multiplication(X_72,antidomain(X_8)),multiplication(domain(X_8),antidomain(X_8)))) )],[refute_0_299,refute_0_308]) ).

cnf(refute_0_310,plain,
    addition(multiplication(X_72,antidomain(X_8)),zero) = multiplication(X_72,antidomain(X_8)),
    inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(X_72,antidomain(X_8))))]]) ).

cnf(refute_0_311,plain,
    ( addition(multiplication(X_72,antidomain(X_8)),zero) != multiplication(X_72,antidomain(X_8))
    | multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) != addition(multiplication(X_72,antidomain(X_8)),zero)
    | multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) = multiplication(X_72,antidomain(X_8)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,domain(X_8)),antidomain(X_8)),addition(multiplication(X_72,antidomain(X_8)),zero)) ),[1],$fot(multiplication(X_72,antidomain(X_8)))]]) ).

cnf(refute_0_312,plain,
    ( multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) != addition(multiplication(X_72,antidomain(X_8)),zero)
    | multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) = multiplication(X_72,antidomain(X_8)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_72,antidomain(X_8)),zero),multiplication(X_72,antidomain(X_8))) )],[refute_0_310,refute_0_311]) ).

cnf(refute_0_313,plain,
    multiplication(addition(X_72,domain(X_8)),antidomain(X_8)) = multiplication(X_72,antidomain(X_8)),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,domain(X_8)),antidomain(X_8)),addition(multiplication(X_72,antidomain(X_8)),zero)) )],[refute_0_309,refute_0_312]) ).

cnf(refute_0_314,plain,
    multiplication(addition(coantidomain(codomain(X_288)),domain(codomain(codomain(X_288)))),antidomain(codomain(codomain(X_288)))) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))),
    inference(subst,[],[refute_0_313:[bind(X_72,$fot(coantidomain(codomain(X_288)))),bind(X_8,$fot(codomain(codomain(X_288))))]]) ).

cnf(refute_0_315,plain,
    addition(codomain(X0),addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0))))) = addition(one,domain(coantidomain(codomain(X0)))),
    inference(subst,[],[refute_0_272:[bind(X_161,$fot(domain(coantidomain(codomain(X0)))))]]) ).

cnf(refute_0_316,plain,
    multiplication(domain(X_217),addition(X_216,X_217)) = addition(multiplication(domain(X_217),X_216),multiplication(domain(X_217),X_217)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(domain(X_217))),bind(B,$fot(X_216)),bind(C,$fot(X_217))]]) ).

cnf(refute_0_317,plain,
    X_217 = multiplication(domain(X_217),X_217),
    inference(subst,[],[refute_0_149:[bind(X_76,$fot(X_217))]]) ).

cnf(refute_0_318,plain,
    ( X_217 != multiplication(domain(X_217),X_217)
    | multiplication(domain(X_217),X_217) = X_217 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_217)),bind(Y,$fot(multiplication(domain(X_217),X_217)))]]) ).

cnf(refute_0_319,plain,
    multiplication(domain(X_217),X_217) = X_217,
    inference(resolve,[$cnf( $equal(X_217,multiplication(domain(X_217),X_217)) )],[refute_0_317,refute_0_318]) ).

cnf(refute_0_320,plain,
    ( multiplication(domain(X_217),X_217) != X_217
    | multiplication(domain(X_217),addition(X_216,X_217)) != addition(multiplication(domain(X_217),X_216),multiplication(domain(X_217),X_217))
    | multiplication(domain(X_217),addition(X_216,X_217)) = addition(multiplication(domain(X_217),X_216),X_217) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_217),addition(X_216,X_217)),addition(multiplication(domain(X_217),X_216),multiplication(domain(X_217),X_217))) ),[1,1],$fot(X_217)]]) ).

cnf(refute_0_321,plain,
    ( multiplication(domain(X_217),addition(X_216,X_217)) != addition(multiplication(domain(X_217),X_216),multiplication(domain(X_217),X_217))
    | multiplication(domain(X_217),addition(X_216,X_217)) = addition(multiplication(domain(X_217),X_216),X_217) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_217),X_217),X_217) )],[refute_0_319,refute_0_320]) ).

cnf(refute_0_322,plain,
    multiplication(domain(X_217),addition(X_216,X_217)) = addition(multiplication(domain(X_217),X_216),X_217),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_217),addition(X_216,X_217)),addition(multiplication(domain(X_217),X_216),multiplication(domain(X_217),X_217))) )],[refute_0_316,refute_0_321]) ).

cnf(refute_0_323,plain,
    addition(multiplication(domain(X_217),X_216),X_217) = addition(X_217,multiplication(domain(X_217),X_216)),
    inference(subst,[],[refute_0_50:[bind(A,$fot(X_217)),bind(B,$fot(multiplication(domain(X_217),X_216)))]]) ).

cnf(refute_0_324,plain,
    ( addition(multiplication(domain(X_217),X_216),X_217) != addition(X_217,multiplication(domain(X_217),X_216))
    | multiplication(domain(X_217),addition(X_216,X_217)) != addition(multiplication(domain(X_217),X_216),X_217)
    | multiplication(domain(X_217),addition(X_216,X_217)) = addition(X_217,multiplication(domain(X_217),X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_217),addition(X_216,X_217)),addition(multiplication(domain(X_217),X_216),X_217)) ),[1],$fot(addition(X_217,multiplication(domain(X_217),X_216)))]]) ).

cnf(refute_0_325,plain,
    ( multiplication(domain(X_217),addition(X_216,X_217)) != addition(multiplication(domain(X_217),X_216),X_217)
    | multiplication(domain(X_217),addition(X_216,X_217)) = addition(X_217,multiplication(domain(X_217),X_216)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_217),X_216),X_217),addition(X_217,multiplication(domain(X_217),X_216))) )],[refute_0_323,refute_0_324]) ).

cnf(refute_0_326,plain,
    multiplication(domain(X_217),addition(X_216,X_217)) = addition(X_217,multiplication(domain(X_217),X_216)),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_217),addition(X_216,X_217)),addition(multiplication(domain(X_217),X_216),X_217)) )],[refute_0_322,refute_0_325]) ).

cnf(refute_0_327,plain,
    multiplication(domain(coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))) = addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)),
    inference(subst,[],[refute_0_326:[bind(X_216,$fot(one)),bind(X_217,$fot(coantidomain(codomain(X_164))))]]) ).

cnf(refute_0_328,plain,
    ( one != addition(one,coantidomain(codomain(X_164)))
    | addition(one,coantidomain(codomain(X_164))) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(addition(one,coantidomain(codomain(X_164)))))]]) ).

cnf(refute_0_329,plain,
    addition(one,coantidomain(codomain(X_164))) = one,
    inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_164)))) )],[refute_0_281,refute_0_328]) ).

cnf(refute_0_330,plain,
    ( addition(one,coantidomain(codomain(X_164))) != one
    | multiplication(domain(coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))) != addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))
    | multiplication(domain(coantidomain(codomain(X_164))),one) = addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))),addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_331,plain,
    ( multiplication(domain(coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))) != addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))
    | multiplication(domain(coantidomain(codomain(X_164))),one) = addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) ),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_164))),one) )],[refute_0_329,refute_0_330]) ).

cnf(refute_0_332,plain,
    multiplication(domain(coantidomain(codomain(X_164))),one) = addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))),addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))) )],[refute_0_327,refute_0_331]) ).

cnf(refute_0_333,plain,
    multiplication(domain(coantidomain(codomain(X_164))),one) = domain(coantidomain(codomain(X_164))),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(domain(coantidomain(codomain(X_164)))))]]) ).

cnf(refute_0_334,plain,
    ( multiplication(domain(coantidomain(codomain(X_164))),one) != addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))
    | multiplication(domain(coantidomain(codomain(X_164))),one) != domain(coantidomain(codomain(X_164)))
    | domain(coantidomain(codomain(X_164))) = addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(coantidomain(codomain(X_164))),one),addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))) ),[0],$fot(domain(coantidomain(codomain(X_164))))]]) ).

cnf(refute_0_335,plain,
    ( multiplication(domain(coantidomain(codomain(X_164))),one) != addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))
    | domain(coantidomain(codomain(X_164))) = addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(codomain(X_164))),one),domain(coantidomain(codomain(X_164)))) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) = addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)),
    introduced(tautology,[refl,[$fot(addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)))]]) ).

cnf(refute_0_337,plain,
    ( addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) != addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))
    | multiplication(domain(coantidomain(codomain(X_164))),one) != domain(coantidomain(codomain(X_164)))
    | addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) = addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)),addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))) ),[1,1],$fot(domain(coantidomain(codomain(X_164))))]]) ).

cnf(refute_0_338,plain,
    ( multiplication(domain(coantidomain(codomain(X_164))),one) != domain(coantidomain(codomain(X_164)))
    | addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) = addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164)))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)),addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))) )],[refute_0_336,refute_0_337]) ).

cnf(refute_0_339,plain,
    addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) = addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164)))),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(codomain(X_164))),one),domain(coantidomain(codomain(X_164)))) )],[refute_0_333,refute_0_338]) ).

cnf(refute_0_340,plain,
    ( addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)) != addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164))))
    | domain(coantidomain(codomain(X_164))) != addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))
    | domain(coantidomain(codomain(X_164))) = addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164)))) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(codomain(X_164))),addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))) ),[1],$fot(addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164)))))]]) ).

cnf(refute_0_341,plain,
    ( domain(coantidomain(codomain(X_164))) != addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))
    | domain(coantidomain(codomain(X_164))) = addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164)))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one)),addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164))))) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    ( multiplication(domain(coantidomain(codomain(X_164))),one) != addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))
    | domain(coantidomain(codomain(X_164))) = addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164)))) ),
    inference(resolve,[$cnf( $equal(domain(coantidomain(codomain(X_164))),addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))) )],[refute_0_335,refute_0_341]) ).

cnf(refute_0_343,plain,
    domain(coantidomain(codomain(X_164))) = addition(coantidomain(codomain(X_164)),domain(coantidomain(codomain(X_164)))),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(codomain(X_164))),one),addition(coantidomain(codomain(X_164)),multiplication(domain(coantidomain(codomain(X_164))),one))) )],[refute_0_332,refute_0_342]) ).

cnf(refute_0_344,plain,
    domain(coantidomain(codomain(X0))) = addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0)))),
    inference(subst,[],[refute_0_343:[bind(X_164,$fot(X0))]]) ).

cnf(refute_0_345,plain,
    ( domain(coantidomain(codomain(X0))) != addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0))))
    | addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0)))) = domain(coantidomain(codomain(X0))) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(domain(coantidomain(codomain(X0))))),bind(Y,$fot(addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0))))))]]) ).

cnf(refute_0_346,plain,
    addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0)))) = domain(coantidomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(domain(coantidomain(codomain(X0))),addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0))))) )],[refute_0_344,refute_0_345]) ).

cnf(refute_0_347,plain,
    ( addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0)))) != domain(coantidomain(codomain(X0)))
    | addition(codomain(X0),addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0))))) != addition(one,domain(coantidomain(codomain(X0))))
    | addition(codomain(X0),domain(coantidomain(codomain(X0)))) = addition(one,domain(coantidomain(codomain(X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0))))),addition(one,domain(coantidomain(codomain(X0))))) ),[0,1],$fot(domain(coantidomain(codomain(X0))))]]) ).

cnf(refute_0_348,plain,
    ( addition(codomain(X0),addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0))))) != addition(one,domain(coantidomain(codomain(X0))))
    | addition(codomain(X0),domain(coantidomain(codomain(X0)))) = addition(one,domain(coantidomain(codomain(X0)))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0)))),domain(coantidomain(codomain(X0)))) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    addition(codomain(X0),domain(coantidomain(codomain(X0)))) = addition(one,domain(coantidomain(codomain(X0)))),
    inference(resolve,[$cnf( $equal(addition(codomain(X0),addition(coantidomain(codomain(X0)),domain(coantidomain(codomain(X0))))),addition(one,domain(coantidomain(codomain(X0))))) )],[refute_0_315,refute_0_348]) ).

cnf(refute_0_350,plain,
    addition(domain(X0),addition(antidomain(domain(X0)),X_161)) = addition(addition(domain(X0),antidomain(domain(X0))),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(domain(X0))),bind(B,$fot(antidomain(domain(X0)))),bind(C,$fot(X_161))]]) ).

cnf(refute_0_351,plain,
    addition(antidomain(antidomain(X0)),domain(antidomain(X0))) = one,
    inference(subst,[],[refute_0_101:[bind(X0,$fot(antidomain(X0)))]]) ).

cnf(refute_0_352,plain,
    ( addition(antidomain(antidomain(X0)),domain(antidomain(X0))) != one
    | antidomain(antidomain(X0)) != domain(X0)
    | addition(domain(X0),domain(antidomain(X0))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),domain(antidomain(X0))),one) ),[0,0],$fot(domain(X0))]]) ).

cnf(refute_0_353,plain,
    ( addition(antidomain(antidomain(X0)),domain(antidomain(X0))) != one
    | addition(domain(X0),domain(antidomain(X0))) = one ),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_65,refute_0_352]) ).

cnf(refute_0_354,plain,
    addition(domain(X0),domain(antidomain(X0))) = one,
    inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),domain(antidomain(X0))),one) )],[refute_0_351,refute_0_353]) ).

cnf(refute_0_355,plain,
    domain(antidomain(X_8)) = antidomain(antidomain(antidomain(X_8))),
    inference(subst,[],[domain4:[bind(X0,$fot(antidomain(X_8)))]]) ).

cnf(refute_0_356,plain,
    ( antidomain(antidomain(X_8)) != domain(X_8)
    | domain(antidomain(X_8)) != antidomain(antidomain(antidomain(X_8)))
    | domain(antidomain(X_8)) = antidomain(domain(X_8)) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_8)),antidomain(antidomain(antidomain(X_8)))) ),[1,0],$fot(domain(X_8))]]) ).

cnf(refute_0_357,plain,
    ( domain(antidomain(X_8)) != antidomain(antidomain(antidomain(X_8)))
    | domain(antidomain(X_8)) = antidomain(domain(X_8)) ),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(X_8)),domain(X_8)) )],[refute_0_303,refute_0_356]) ).

cnf(refute_0_358,plain,
    domain(antidomain(X_8)) = antidomain(domain(X_8)),
    inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),antidomain(antidomain(antidomain(X_8)))) )],[refute_0_355,refute_0_357]) ).

cnf(refute_0_359,plain,
    domain(antidomain(X0)) = antidomain(domain(X0)),
    inference(subst,[],[refute_0_358:[bind(X_8,$fot(X0))]]) ).

cnf(refute_0_360,plain,
    addition(domain(X0),domain(antidomain(X0))) = addition(domain(X0),domain(antidomain(X0))),
    introduced(tautology,[refl,[$fot(addition(domain(X0),domain(antidomain(X0))))]]) ).

cnf(refute_0_361,plain,
    ( addition(domain(X0),domain(antidomain(X0))) != addition(domain(X0),domain(antidomain(X0)))
    | domain(antidomain(X0)) != antidomain(domain(X0))
    | addition(domain(X0),domain(antidomain(X0))) = addition(domain(X0),antidomain(domain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),addition(domain(X0),domain(antidomain(X0)))) ),[1,1],$fot(antidomain(domain(X0)))]]) ).

cnf(refute_0_362,plain,
    ( domain(antidomain(X0)) != antidomain(domain(X0))
    | addition(domain(X0),domain(antidomain(X0))) = addition(domain(X0),antidomain(domain(X0))) ),
    inference(resolve,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),addition(domain(X0),domain(antidomain(X0)))) )],[refute_0_360,refute_0_361]) ).

cnf(refute_0_363,plain,
    addition(domain(X0),domain(antidomain(X0))) = addition(domain(X0),antidomain(domain(X0))),
    inference(resolve,[$cnf( $equal(domain(antidomain(X0)),antidomain(domain(X0))) )],[refute_0_359,refute_0_362]) ).

cnf(refute_0_364,plain,
    ( addition(domain(X0),domain(antidomain(X0))) != addition(domain(X0),antidomain(domain(X0)))
    | addition(domain(X0),domain(antidomain(X0))) != one
    | addition(domain(X0),antidomain(domain(X0))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),one) ),[0],$fot(addition(domain(X0),antidomain(domain(X0))))]]) ).

cnf(refute_0_365,plain,
    ( addition(domain(X0),domain(antidomain(X0))) != one
    | addition(domain(X0),antidomain(domain(X0))) = one ),
    inference(resolve,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),addition(domain(X0),antidomain(domain(X0)))) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    addition(domain(X0),antidomain(domain(X0))) = one,
    inference(resolve,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),one) )],[refute_0_354,refute_0_365]) ).

cnf(refute_0_367,plain,
    ( addition(domain(X0),addition(antidomain(domain(X0)),X_161)) != addition(addition(domain(X0),antidomain(domain(X0))),X_161)
    | addition(domain(X0),antidomain(domain(X0))) != one
    | addition(domain(X0),addition(antidomain(domain(X0)),X_161)) = addition(one,X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),addition(antidomain(domain(X0)),X_161)),addition(addition(domain(X0),antidomain(domain(X0))),X_161)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_368,plain,
    ( addition(domain(X0),addition(antidomain(domain(X0)),X_161)) != addition(addition(domain(X0),antidomain(domain(X0))),X_161)
    | addition(domain(X0),addition(antidomain(domain(X0)),X_161)) = addition(one,X_161) ),
    inference(resolve,[$cnf( $equal(addition(domain(X0),antidomain(domain(X0))),one) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    addition(domain(X0),addition(antidomain(domain(X0)),X_161)) = addition(one,X_161),
    inference(resolve,[$cnf( $equal(addition(domain(X0),addition(antidomain(domain(X0)),X_161)),addition(addition(domain(X0),antidomain(domain(X0))),X_161)) )],[refute_0_350,refute_0_368]) ).

cnf(refute_0_370,plain,
    addition(domain(X_170),addition(antidomain(domain(X_170)),antidomain(domain(X_170)))) = addition(one,antidomain(domain(X_170))),
    inference(subst,[],[refute_0_369:[bind(X0,$fot(X_170)),bind(X_161,$fot(antidomain(domain(X_170))))]]) ).

cnf(refute_0_371,plain,
    addition(antidomain(domain(X_170)),antidomain(domain(X_170))) = antidomain(domain(X_170)),
    inference(subst,[],[additive_idempotence:[bind(A,$fot(antidomain(domain(X_170))))]]) ).

cnf(refute_0_372,plain,
    ( addition(antidomain(domain(X_170)),antidomain(domain(X_170))) != antidomain(domain(X_170))
    | addition(domain(X_170),addition(antidomain(domain(X_170)),antidomain(domain(X_170)))) != addition(one,antidomain(domain(X_170)))
    | addition(domain(X_170),antidomain(domain(X_170))) = addition(one,antidomain(domain(X_170))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_170),addition(antidomain(domain(X_170)),antidomain(domain(X_170)))),addition(one,antidomain(domain(X_170)))) ),[0,1],$fot(antidomain(domain(X_170)))]]) ).

cnf(refute_0_373,plain,
    ( addition(domain(X_170),addition(antidomain(domain(X_170)),antidomain(domain(X_170)))) != addition(one,antidomain(domain(X_170)))
    | addition(domain(X_170),antidomain(domain(X_170))) = addition(one,antidomain(domain(X_170))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_170)),antidomain(domain(X_170))),antidomain(domain(X_170))) )],[refute_0_371,refute_0_372]) ).

cnf(refute_0_374,plain,
    addition(domain(X_170),antidomain(domain(X_170))) = addition(one,antidomain(domain(X_170))),
    inference(resolve,[$cnf( $equal(addition(domain(X_170),addition(antidomain(domain(X_170)),antidomain(domain(X_170)))),addition(one,antidomain(domain(X_170)))) )],[refute_0_370,refute_0_373]) ).

cnf(refute_0_375,plain,
    addition(domain(X_170),antidomain(domain(X_170))) = one,
    inference(subst,[],[refute_0_366:[bind(X0,$fot(X_170))]]) ).

cnf(refute_0_376,plain,
    ( addition(domain(X_170),antidomain(domain(X_170))) != addition(one,antidomain(domain(X_170)))
    | addition(domain(X_170),antidomain(domain(X_170))) != one
    | one = addition(one,antidomain(domain(X_170))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_170),antidomain(domain(X_170))),addition(one,antidomain(domain(X_170)))) ),[0],$fot(one)]]) ).

cnf(refute_0_377,plain,
    ( addition(domain(X_170),antidomain(domain(X_170))) != addition(one,antidomain(domain(X_170)))
    | one = addition(one,antidomain(domain(X_170))) ),
    inference(resolve,[$cnf( $equal(addition(domain(X_170),antidomain(domain(X_170))),one) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    one = addition(one,antidomain(domain(X_170))),
    inference(resolve,[$cnf( $equal(addition(domain(X_170),antidomain(domain(X_170))),addition(one,antidomain(domain(X_170)))) )],[refute_0_374,refute_0_377]) ).

cnf(refute_0_379,plain,
    one = addition(one,antidomain(domain(antidomain(X_8)))),
    inference(subst,[],[refute_0_378:[bind(X_170,$fot(antidomain(X_8)))]]) ).

cnf(refute_0_380,plain,
    ( domain(antidomain(X_8)) != antidomain(domain(X_8))
    | one != addition(one,antidomain(domain(antidomain(X_8))))
    | one = addition(one,antidomain(antidomain(domain(X_8)))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,addition(one,antidomain(domain(antidomain(X_8))))) ),[1,1,0],$fot(antidomain(domain(X_8)))]]) ).

cnf(refute_0_381,plain,
    ( one != addition(one,antidomain(domain(antidomain(X_8))))
    | one = addition(one,antidomain(antidomain(domain(X_8)))) ),
    inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),antidomain(domain(X_8))) )],[refute_0_358,refute_0_380]) ).

cnf(refute_0_382,plain,
    one = addition(one,antidomain(antidomain(domain(X_8)))),
    inference(resolve,[$cnf( $equal(one,addition(one,antidomain(domain(antidomain(X_8))))) )],[refute_0_379,refute_0_381]) ).

cnf(refute_0_383,plain,
    addition(domain(X_170),addition(antidomain(domain(X_170)),domain(domain(X_170)))) = addition(one,domain(domain(X_170))),
    inference(subst,[],[refute_0_369:[bind(X0,$fot(X_170)),bind(X_161,$fot(domain(domain(X_170))))]]) ).

cnf(refute_0_384,plain,
    addition(antidomain(domain(X_170)),domain(domain(X_170))) = one,
    inference(subst,[],[refute_0_101:[bind(X0,$fot(domain(X_170)))]]) ).

cnf(refute_0_385,plain,
    ( addition(antidomain(domain(X_170)),domain(domain(X_170))) != one
    | addition(domain(X_170),addition(antidomain(domain(X_170)),domain(domain(X_170)))) != addition(one,domain(domain(X_170)))
    | addition(domain(X_170),one) = addition(one,domain(domain(X_170))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_170),addition(antidomain(domain(X_170)),domain(domain(X_170)))),addition(one,domain(domain(X_170)))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_386,plain,
    ( addition(domain(X_170),addition(antidomain(domain(X_170)),domain(domain(X_170)))) != addition(one,domain(domain(X_170)))
    | addition(domain(X_170),one) = addition(one,domain(domain(X_170))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_170)),domain(domain(X_170))),one) )],[refute_0_384,refute_0_385]) ).

cnf(refute_0_387,plain,
    addition(domain(X_170),one) = addition(one,domain(domain(X_170))),
    inference(resolve,[$cnf( $equal(addition(domain(X_170),addition(antidomain(domain(X_170)),domain(domain(X_170)))),addition(one,domain(domain(X_170)))) )],[refute_0_383,refute_0_386]) ).

cnf(refute_0_388,plain,
    addition(domain(X_170),one) = addition(one,domain(X_170)),
    inference(subst,[],[refute_0_50:[bind(A,$fot(one)),bind(B,$fot(domain(X_170)))]]) ).

cnf(refute_0_389,plain,
    ( addition(domain(X_170),one) != addition(one,domain(X_170))
    | addition(domain(X_170),one) != addition(one,domain(domain(X_170)))
    | addition(one,domain(X_170)) = addition(one,domain(domain(X_170))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_170),one),addition(one,domain(domain(X_170)))) ),[0],$fot(addition(one,domain(X_170)))]]) ).

cnf(refute_0_390,plain,
    ( addition(domain(X_170),one) != addition(one,domain(domain(X_170)))
    | addition(one,domain(X_170)) = addition(one,domain(domain(X_170))) ),
    inference(resolve,[$cnf( $equal(addition(domain(X_170),one),addition(one,domain(X_170))) )],[refute_0_388,refute_0_389]) ).

cnf(refute_0_391,plain,
    addition(one,domain(X_170)) = addition(one,domain(domain(X_170))),
    inference(resolve,[$cnf( $equal(addition(domain(X_170),one),addition(one,domain(domain(X_170)))) )],[refute_0_387,refute_0_390]) ).

cnf(refute_0_392,plain,
    ( addition(one,domain(X_170)) != addition(one,domain(domain(X_170)))
    | addition(one,domain(domain(X_170))) = addition(one,domain(X_170)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(one,domain(X_170)))),bind(Y,$fot(addition(one,domain(domain(X_170)))))]]) ).

cnf(refute_0_393,plain,
    addition(one,domain(domain(X_170))) = addition(one,domain(X_170)),
    inference(resolve,[$cnf( $equal(addition(one,domain(X_170)),addition(one,domain(domain(X_170)))) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    addition(one,domain(domain(X_8))) = addition(one,domain(X_8)),
    inference(subst,[],[refute_0_393:[bind(X_170,$fot(X_8))]]) ).

cnf(refute_0_395,plain,
    antidomain(antidomain(domain(X_8))) = domain(domain(X_8)),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(domain(X_8)))]]) ).

cnf(refute_0_396,plain,
    addition(one,antidomain(antidomain(domain(X_8)))) = addition(one,antidomain(antidomain(domain(X_8)))),
    introduced(tautology,[refl,[$fot(addition(one,antidomain(antidomain(domain(X_8)))))]]) ).

cnf(refute_0_397,plain,
    ( addition(one,antidomain(antidomain(domain(X_8)))) != addition(one,antidomain(antidomain(domain(X_8))))
    | antidomain(antidomain(domain(X_8))) != domain(domain(X_8))
    | addition(one,antidomain(antidomain(domain(X_8)))) = addition(one,domain(domain(X_8))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(antidomain(domain(X_8)))),addition(one,antidomain(antidomain(domain(X_8))))) ),[1,1],$fot(domain(domain(X_8)))]]) ).

cnf(refute_0_398,plain,
    ( antidomain(antidomain(domain(X_8))) != domain(domain(X_8))
    | addition(one,antidomain(antidomain(domain(X_8)))) = addition(one,domain(domain(X_8))) ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(antidomain(domain(X_8)))),addition(one,antidomain(antidomain(domain(X_8))))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    addition(one,antidomain(antidomain(domain(X_8)))) = addition(one,domain(domain(X_8))),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(domain(X_8))),domain(domain(X_8))) )],[refute_0_395,refute_0_398]) ).

cnf(refute_0_400,plain,
    ( addition(one,antidomain(antidomain(domain(X_8)))) != addition(one,domain(domain(X_8)))
    | addition(one,domain(domain(X_8))) != addition(one,domain(X_8))
    | addition(one,antidomain(antidomain(domain(X_8)))) = addition(one,domain(X_8)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(one,antidomain(antidomain(domain(X_8)))))),bind(Y,$fot(addition(one,domain(domain(X_8))))),bind(Z,$fot(addition(one,domain(X_8))))]]) ).

cnf(refute_0_401,plain,
    ( addition(one,domain(domain(X_8))) != addition(one,domain(X_8))
    | addition(one,antidomain(antidomain(domain(X_8)))) = addition(one,domain(X_8)) ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(antidomain(domain(X_8)))),addition(one,domain(domain(X_8)))) )],[refute_0_399,refute_0_400]) ).

cnf(refute_0_402,plain,
    addition(one,antidomain(antidomain(domain(X_8)))) = addition(one,domain(X_8)),
    inference(resolve,[$cnf( $equal(addition(one,domain(domain(X_8))),addition(one,domain(X_8))) )],[refute_0_394,refute_0_401]) ).

cnf(refute_0_403,plain,
    ( addition(one,antidomain(antidomain(domain(X_8)))) != addition(one,domain(X_8))
    | one != addition(one,antidomain(antidomain(domain(X_8))))
    | one = addition(one,domain(X_8)) ),
    introduced(tautology,[equality,[$cnf( $equal(one,addition(one,antidomain(antidomain(domain(X_8))))) ),[1],$fot(addition(one,domain(X_8)))]]) ).

cnf(refute_0_404,plain,
    ( one != addition(one,antidomain(antidomain(domain(X_8))))
    | one = addition(one,domain(X_8)) ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(antidomain(domain(X_8)))),addition(one,domain(X_8))) )],[refute_0_402,refute_0_403]) ).

cnf(refute_0_405,plain,
    one = addition(one,domain(X_8)),
    inference(resolve,[$cnf( $equal(one,addition(one,antidomain(antidomain(domain(X_8))))) )],[refute_0_382,refute_0_404]) ).

cnf(refute_0_406,plain,
    ( one != addition(one,domain(X_8))
    | addition(one,domain(X_8)) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_8))))]]) ).

cnf(refute_0_407,plain,
    addition(one,domain(X_8)) = one,
    inference(resolve,[$cnf( $equal(one,addition(one,domain(X_8))) )],[refute_0_405,refute_0_406]) ).

cnf(refute_0_408,plain,
    addition(one,domain(coantidomain(codomain(X0)))) = one,
    inference(subst,[],[refute_0_407:[bind(X_8,$fot(coantidomain(codomain(X0))))]]) ).

cnf(refute_0_409,plain,
    ( addition(codomain(X0),domain(coantidomain(codomain(X0)))) != addition(one,domain(coantidomain(codomain(X0))))
    | addition(one,domain(coantidomain(codomain(X0)))) != one
    | addition(codomain(X0),domain(coantidomain(codomain(X0)))) = one ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(codomain(X0),domain(coantidomain(codomain(X0)))),one) ),[0],$fot(addition(one,domain(coantidomain(codomain(X0)))))]]) ).

cnf(refute_0_410,plain,
    ( addition(codomain(X0),domain(coantidomain(codomain(X0)))) != addition(one,domain(coantidomain(codomain(X0))))
    | addition(codomain(X0),domain(coantidomain(codomain(X0)))) = one ),
    inference(resolve,[$cnf( $equal(addition(one,domain(coantidomain(codomain(X0)))),one) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    addition(codomain(X0),domain(coantidomain(codomain(X0)))) = one,
    inference(resolve,[$cnf( $equal(addition(codomain(X0),domain(coantidomain(codomain(X0)))),addition(one,domain(coantidomain(codomain(X0))))) )],[refute_0_349,refute_0_410]) ).

cnf(refute_0_412,plain,
    addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))) = one,
    inference(subst,[],[refute_0_411:[bind(X0,$fot(coantidomain(X_7)))]]) ).

cnf(refute_0_413,plain,
    ( addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))) != one
    | codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
    | addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))),one) ),[0,1,0,0],$fot(coantidomain(codomain(X_7)))]]) ).

cnf(refute_0_414,plain,
    ( addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))) != one
    | addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = one ),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_261,refute_0_413]) ).

cnf(refute_0_415,plain,
    addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = one,
    inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(codomain(coantidomain(X_7))))),one) )],[refute_0_412,refute_0_414]) ).

cnf(refute_0_416,plain,
    coantidomain(coantidomain(codomain(X_7))) = codomain(codomain(X_7)),
    inference(subst,[],[refute_0_206:[bind(X0,$fot(codomain(X_7)))]]) ).

cnf(refute_0_417,plain,
    domain(coantidomain(coantidomain(codomain(X_7)))) = domain(coantidomain(coantidomain(codomain(X_7)))),
    introduced(tautology,[refl,[$fot(domain(coantidomain(coantidomain(codomain(X_7)))))]]) ).

cnf(refute_0_418,plain,
    ( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
    | domain(coantidomain(coantidomain(codomain(X_7)))) != domain(coantidomain(coantidomain(codomain(X_7))))
    | domain(coantidomain(coantidomain(codomain(X_7)))) = domain(codomain(codomain(X_7))) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(coantidomain(codomain(X_7)))),domain(coantidomain(coantidomain(codomain(X_7))))) ),[1,0],$fot(codomain(codomain(X_7)))]]) ).

cnf(refute_0_419,plain,
    ( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
    | domain(coantidomain(coantidomain(codomain(X_7)))) = domain(codomain(codomain(X_7))) ),
    inference(resolve,[$cnf( $equal(domain(coantidomain(coantidomain(codomain(X_7)))),domain(coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_417,refute_0_418]) ).

cnf(refute_0_420,plain,
    domain(coantidomain(coantidomain(codomain(X_7)))) = domain(codomain(codomain(X_7))),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X_7))),codomain(codomain(X_7))) )],[refute_0_416,refute_0_419]) ).

cnf(refute_0_421,plain,
    addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))))]]) ).

cnf(refute_0_422,plain,
    ( addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))
    | domain(coantidomain(coantidomain(codomain(X_7)))) != domain(codomain(codomain(X_7)))
    | addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) ),[1,1],$fot(domain(codomain(codomain(X_7))))]]) ).

cnf(refute_0_423,plain,
    ( domain(coantidomain(coantidomain(codomain(X_7)))) != domain(codomain(codomain(X_7)))
    | addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))),
    inference(resolve,[$cnf( $equal(domain(coantidomain(coantidomain(codomain(X_7)))),domain(codomain(codomain(X_7)))) )],[refute_0_420,refute_0_423]) ).

cnf(refute_0_425,plain,
    addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),
    introduced(tautology,[refl,[$fot(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))))]]) ).

cnf(refute_0_426,plain,
    ( addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))
    | codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
    | addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) ),[1,0],$fot(coantidomain(codomain(X_7)))]]) ).

cnf(refute_0_427,plain,
    ( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
    | addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) )],[refute_0_425,refute_0_426]) ).

cnf(refute_0_428,plain,
    addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_261,refute_0_427]) ).

cnf(refute_0_429,plain,
    ( addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7))))
    | addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))
    | addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))))),bind(Y,$fot(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))))),bind(Z,$fot(addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7))))))]]) ).

cnf(refute_0_430,plain,
    ( addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7))))
    | addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7)))))) )],[refute_0_428,refute_0_429]) ).

cnf(refute_0_431,plain,
    addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) = addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7))))) )],[refute_0_424,refute_0_430]) ).

cnf(refute_0_432,plain,
    ( addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7))))
    | addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != one
    | addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),one) ),[0],$fot(addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))))]]) ).

cnf(refute_0_433,plain,
    ( addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))) != one
    | addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))) = one ),
    inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7))))) )],[refute_0_431,refute_0_432]) ).

cnf(refute_0_434,plain,
    addition(coantidomain(codomain(X_7)),domain(codomain(codomain(X_7)))) = one,
    inference(resolve,[$cnf( $equal(addition(codomain(coantidomain(X_7)),domain(coantidomain(coantidomain(codomain(X_7))))),one) )],[refute_0_415,refute_0_433]) ).

cnf(refute_0_435,plain,
    addition(coantidomain(codomain(X_288)),domain(codomain(codomain(X_288)))) = one,
    inference(subst,[],[refute_0_434:[bind(X_7,$fot(X_288))]]) ).

cnf(refute_0_436,plain,
    ( addition(coantidomain(codomain(X_288)),domain(codomain(codomain(X_288)))) != one
    | multiplication(addition(coantidomain(codomain(X_288)),domain(codomain(codomain(X_288)))),antidomain(codomain(codomain(X_288)))) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | multiplication(one,antidomain(codomain(codomain(X_288)))) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(codomain(X_288)),domain(codomain(codomain(X_288)))),antidomain(codomain(codomain(X_288)))),multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_437,plain,
    ( multiplication(addition(coantidomain(codomain(X_288)),domain(codomain(codomain(X_288)))),antidomain(codomain(codomain(X_288)))) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | multiplication(one,antidomain(codomain(codomain(X_288)))) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_288)),domain(codomain(codomain(X_288)))),one) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    multiplication(one,antidomain(codomain(codomain(X_288)))) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(codomain(X_288)),domain(codomain(codomain(X_288)))),antidomain(codomain(codomain(X_288)))),multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))) )],[refute_0_314,refute_0_437]) ).

cnf(refute_0_439,plain,
    multiplication(one,antidomain(codomain(codomain(X_288)))) = antidomain(codomain(codomain(X_288))),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(antidomain(codomain(codomain(X_288)))))]]) ).

cnf(refute_0_440,plain,
    ( multiplication(one,antidomain(codomain(codomain(X_288)))) != antidomain(codomain(codomain(X_288)))
    | multiplication(one,antidomain(codomain(codomain(X_288)))) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | antidomain(codomain(codomain(X_288))) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(codomain(codomain(X_288)))),multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))) ),[0],$fot(antidomain(codomain(codomain(X_288))))]]) ).

cnf(refute_0_441,plain,
    ( multiplication(one,antidomain(codomain(codomain(X_288)))) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | antidomain(codomain(codomain(X_288))) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))) ),
    inference(resolve,[$cnf( $equal(multiplication(one,antidomain(codomain(codomain(X_288)))),antidomain(codomain(codomain(X_288)))) )],[refute_0_439,refute_0_440]) ).

cnf(refute_0_442,plain,
    antidomain(codomain(codomain(X_288))) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))),
    inference(resolve,[$cnf( $equal(multiplication(one,antidomain(codomain(codomain(X_288)))),multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))) )],[refute_0_438,refute_0_441]) ).

cnf(refute_0_443,plain,
    multiplication(addition(codomain(X0),coantidomain(codomain(X0))),coantidomain(coantidomain(codomain(X0)))) = multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))),
    inference(subst,[],[refute_0_290:[bind(X_72,$fot(codomain(X0))),bind(X_73,$fot(coantidomain(codomain(X0))))]]) ).

cnf(refute_0_444,plain,
    ( addition(codomain(X0),coantidomain(codomain(X0))) != one
    | multiplication(addition(codomain(X0),coantidomain(codomain(X0))),coantidomain(coantidomain(codomain(X0)))) != multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))
    | multiplication(one,coantidomain(coantidomain(codomain(X0)))) = multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(X0),coantidomain(codomain(X0))),coantidomain(coantidomain(codomain(X0)))),multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_445,plain,
    ( multiplication(addition(codomain(X0),coantidomain(codomain(X0))),coantidomain(coantidomain(codomain(X0)))) != multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))
    | multiplication(one,coantidomain(coantidomain(codomain(X0)))) = multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X0),coantidomain(codomain(X0))),one) )],[refute_0_269,refute_0_444]) ).

cnf(refute_0_446,plain,
    multiplication(one,coantidomain(coantidomain(codomain(X0)))) = multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X0),coantidomain(codomain(X0))),coantidomain(coantidomain(codomain(X0)))),multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))) )],[refute_0_443,refute_0_445]) ).

cnf(refute_0_447,plain,
    coantidomain(coantidomain(codomain(X0))) = codomain(codomain(X0)),
    inference(subst,[],[refute_0_206:[bind(X0,$fot(codomain(X0)))]]) ).

cnf(refute_0_448,plain,
    multiplication(one,coantidomain(coantidomain(codomain(X0)))) = coantidomain(coantidomain(codomain(X0))),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(coantidomain(coantidomain(codomain(X0)))))]]) ).

cnf(refute_0_449,plain,
    ( coantidomain(coantidomain(codomain(X0))) != codomain(codomain(X0))
    | multiplication(one,coantidomain(coantidomain(codomain(X0)))) != coantidomain(coantidomain(codomain(X0)))
    | multiplication(one,coantidomain(coantidomain(codomain(X0)))) = codomain(codomain(X0)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(one,coantidomain(coantidomain(codomain(X0)))))),bind(Y,$fot(coantidomain(coantidomain(codomain(X0))))),bind(Z,$fot(codomain(codomain(X0))))]]) ).

cnf(refute_0_450,plain,
    ( coantidomain(coantidomain(codomain(X0))) != codomain(codomain(X0))
    | multiplication(one,coantidomain(coantidomain(codomain(X0)))) = codomain(codomain(X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(coantidomain(codomain(X0)))),coantidomain(coantidomain(codomain(X0)))) )],[refute_0_448,refute_0_449]) ).

cnf(refute_0_451,plain,
    multiplication(one,coantidomain(coantidomain(codomain(X0)))) = codomain(codomain(X0)),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X0))),codomain(codomain(X0))) )],[refute_0_447,refute_0_450]) ).

cnf(refute_0_452,plain,
    ( multiplication(one,coantidomain(coantidomain(codomain(X0)))) != codomain(codomain(X0))
    | multiplication(one,coantidomain(coantidomain(codomain(X0)))) != multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))
    | codomain(codomain(X0)) = multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(coantidomain(codomain(X0)))),multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))) ),[0],$fot(codomain(codomain(X0)))]]) ).

cnf(refute_0_453,plain,
    ( multiplication(one,coantidomain(coantidomain(codomain(X0)))) != multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))
    | codomain(codomain(X0)) = multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) ),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(coantidomain(codomain(X0)))),codomain(codomain(X0))) )],[refute_0_451,refute_0_452]) ).

cnf(refute_0_454,plain,
    multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) = multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))),
    introduced(tautology,[refl,[$fot(multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))))]]) ).

cnf(refute_0_455,plain,
    ( coantidomain(coantidomain(codomain(X0))) != codomain(codomain(X0))
    | multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) != multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))
    | multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) = multiplication(codomain(X0),codomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))),multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))) ),[1,1],$fot(codomain(codomain(X0)))]]) ).

cnf(refute_0_456,plain,
    ( coantidomain(coantidomain(codomain(X0))) != codomain(codomain(X0))
    | multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) = multiplication(codomain(X0),codomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))),multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))) )],[refute_0_454,refute_0_455]) ).

cnf(refute_0_457,plain,
    multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) = multiplication(codomain(X0),codomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X0))),codomain(codomain(X0))) )],[refute_0_447,refute_0_456]) ).

cnf(refute_0_458,plain,
    ( codomain(codomain(X0)) != multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))
    | multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))) != multiplication(codomain(X0),codomain(codomain(X0)))
    | codomain(codomain(X0)) = multiplication(codomain(X0),codomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(codomain(codomain(X0)),multiplication(codomain(X0),codomain(codomain(X0)))) ),[0],$fot(multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))))]]) ).

cnf(refute_0_459,plain,
    ( codomain(codomain(X0)) != multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))
    | codomain(codomain(X0)) = multiplication(codomain(X0),codomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0)))),multiplication(codomain(X0),codomain(codomain(X0)))) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    ( multiplication(one,coantidomain(coantidomain(codomain(X0)))) != multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))
    | codomain(codomain(X0)) = multiplication(codomain(X0),codomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(codomain(codomain(X0)),multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))) )],[refute_0_453,refute_0_459]) ).

cnf(refute_0_461,plain,
    codomain(codomain(X0)) = multiplication(codomain(X0),codomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(coantidomain(codomain(X0)))),multiplication(codomain(X0),coantidomain(coantidomain(codomain(X0))))) )],[refute_0_446,refute_0_460]) ).

cnf(refute_0_462,plain,
    multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) = addition(multiplication(X_215,domain(coantidomain(codomain(X_215)))),multiplication(X_215,X_217)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(X_215)),bind(B,$fot(domain(coantidomain(codomain(X_215))))),bind(C,$fot(X_217))]]) ).

cnf(refute_0_463,plain,
    multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = zero,
    inference(subst,[],[refute_0_62:[bind(X_143,$fot(multiplication(X_98,domain(coantidomain(codomain(X_98))))))]]) ).

cnf(refute_0_464,plain,
    addition(antidomain(multiplication(X_98,coantidomain(codomain(X_98)))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),
    inference(subst,[],[refute_0_84:[bind(X0,$fot(X_98)),bind(X1,$fot(coantidomain(codomain(X_98))))]]) ).

cnf(refute_0_465,plain,
    multiplication(X_56,multiplication(coantidomain(X_56),X_58)) = multiplication(multiplication(X_56,coantidomain(X_56)),X_58),
    inference(subst,[],[multiplicative_associativity:[bind(A,$fot(X_56)),bind(B,$fot(coantidomain(X_56))),bind(C,$fot(X_58))]]) ).

cnf(refute_0_466,plain,
    multiplication(X_56,coantidomain(X_56)) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(X_56))]]) ).

cnf(refute_0_467,plain,
    ( multiplication(X_56,coantidomain(X_56)) != zero
    | multiplication(X_56,multiplication(coantidomain(X_56),X_58)) != multiplication(multiplication(X_56,coantidomain(X_56)),X_58)
    | multiplication(X_56,multiplication(coantidomain(X_56),X_58)) = multiplication(zero,X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_56,multiplication(coantidomain(X_56),X_58)),multiplication(multiplication(X_56,coantidomain(X_56)),X_58)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_468,plain,
    ( multiplication(X_56,multiplication(coantidomain(X_56),X_58)) != multiplication(multiplication(X_56,coantidomain(X_56)),X_58)
    | multiplication(X_56,multiplication(coantidomain(X_56),X_58)) = multiplication(zero,X_58) ),
    inference(resolve,[$cnf( $equal(multiplication(X_56,coantidomain(X_56)),zero) )],[refute_0_466,refute_0_467]) ).

cnf(refute_0_469,plain,
    multiplication(X_56,multiplication(coantidomain(X_56),X_58)) = multiplication(zero,X_58),
    inference(resolve,[$cnf( $equal(multiplication(X_56,multiplication(coantidomain(X_56),X_58)),multiplication(multiplication(X_56,coantidomain(X_56)),X_58)) )],[refute_0_465,refute_0_468]) ).

cnf(refute_0_470,plain,
    ( multiplication(X_56,multiplication(coantidomain(X_56),X_58)) != multiplication(zero,X_58)
    | multiplication(zero,X_58) != zero
    | multiplication(X_56,multiplication(coantidomain(X_56),X_58)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(X_56,multiplication(coantidomain(X_56),X_58)),zero) ),[0],$fot(multiplication(zero,X_58))]]) ).

cnf(refute_0_471,plain,
    ( multiplication(X_56,multiplication(coantidomain(X_56),X_58)) != multiplication(zero,X_58)
    | multiplication(X_56,multiplication(coantidomain(X_56),X_58)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(zero,X_58),zero) )],[refute_0_22,refute_0_470]) ).

cnf(refute_0_472,plain,
    multiplication(X_56,multiplication(coantidomain(X_56),X_58)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(X_56,multiplication(coantidomain(X_56),X_58)),multiplication(zero,X_58)) )],[refute_0_469,refute_0_471]) ).

cnf(refute_0_473,plain,
    multiplication(X_56,multiplication(coantidomain(X_56),coantidomain(codomain(X_56)))) = zero,
    inference(subst,[],[refute_0_472:[bind(X_58,$fot(coantidomain(codomain(X_56))))]]) ).

cnf(refute_0_474,plain,
    coantidomain(codomain(X_56)) = multiplication(coantidomain(X_56),coantidomain(codomain(X_56))),
    inference(subst,[],[refute_0_298:[bind(X0,$fot(X_56))]]) ).

cnf(refute_0_475,plain,
    ( coantidomain(codomain(X_56)) != multiplication(coantidomain(X_56),coantidomain(codomain(X_56)))
    | multiplication(coantidomain(X_56),coantidomain(codomain(X_56))) = coantidomain(codomain(X_56)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(coantidomain(codomain(X_56)))),bind(Y,$fot(multiplication(coantidomain(X_56),coantidomain(codomain(X_56)))))]]) ).

cnf(refute_0_476,plain,
    multiplication(coantidomain(X_56),coantidomain(codomain(X_56))) = coantidomain(codomain(X_56)),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X_56)),multiplication(coantidomain(X_56),coantidomain(codomain(X_56)))) )],[refute_0_474,refute_0_475]) ).

cnf(refute_0_477,plain,
    ( multiplication(X_56,multiplication(coantidomain(X_56),coantidomain(codomain(X_56)))) != zero
    | multiplication(coantidomain(X_56),coantidomain(codomain(X_56))) != coantidomain(codomain(X_56))
    | multiplication(X_56,coantidomain(codomain(X_56))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_56,multiplication(coantidomain(X_56),coantidomain(codomain(X_56)))),zero) ),[0,1],$fot(coantidomain(codomain(X_56)))]]) ).

cnf(refute_0_478,plain,
    ( multiplication(X_56,multiplication(coantidomain(X_56),coantidomain(codomain(X_56)))) != zero
    | multiplication(X_56,coantidomain(codomain(X_56))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_56),coantidomain(codomain(X_56))),coantidomain(codomain(X_56))) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    multiplication(X_56,coantidomain(codomain(X_56))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(X_56,multiplication(coantidomain(X_56),coantidomain(codomain(X_56)))),zero) )],[refute_0_473,refute_0_478]) ).

cnf(refute_0_480,plain,
    multiplication(X_98,coantidomain(codomain(X_98))) = zero,
    inference(subst,[],[refute_0_479:[bind(X_56,$fot(X_98))]]) ).

cnf(refute_0_481,plain,
    ( addition(antidomain(multiplication(X_98,coantidomain(codomain(X_98)))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | multiplication(X_98,coantidomain(codomain(X_98))) != zero
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_98,coantidomain(codomain(X_98)))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_482,plain,
    ( addition(antidomain(multiplication(X_98,coantidomain(codomain(X_98)))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_98,coantidomain(codomain(X_98))),zero) )],[refute_0_480,refute_0_481]) ).

cnf(refute_0_483,plain,
    addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_98,coantidomain(codomain(X_98)))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) )],[refute_0_464,refute_0_482]) ).

cnf(refute_0_484,plain,
    addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),
    introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))))]]) ).

cnf(refute_0_485,plain,
    ( addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))
    | antidomain(zero) != one
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_486,plain,
    ( antidomain(zero) != one
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),
    inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_130,refute_0_486]) ).

cnf(refute_0_488,plain,
    ( addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) ),[0],$fot(addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))))]]) ).

cnf(refute_0_489,plain,
    ( addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))) )],[refute_0_487,refute_0_488]) ).

cnf(refute_0_490,plain,
    addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) )],[refute_0_483,refute_0_489]) ).

cnf(refute_0_491,plain,
    ( addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != zero
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),zero) ),[0,0,0],$fot(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))]]) ).

cnf(refute_0_492,plain,
    ( multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != zero
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = zero ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) )],[refute_0_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),zero) )],[refute_0_463,refute_0_492]) ).

cnf(refute_0_494,plain,
    multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = multiplication(X_98,domain(coantidomain(codomain(X_98)))),
    inference(subst,[],[refute_0_151:[bind(X_76,$fot(multiplication(X_98,domain(coantidomain(codomain(X_98))))))]]) ).

cnf(refute_0_495,plain,
    antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) = domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(multiplication(X_98,domain(coantidomain(codomain(X_98))))))]]) ).

cnf(refute_0_496,plain,
    multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))))]]) ).

cnf(refute_0_497,plain,
    ( antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != domain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98)))))) ),[1,0],$fot(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))))]]) ).

cnf(refute_0_498,plain,
    ( antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) != domain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98)))))) )],[refute_0_496,refute_0_497]) ).

cnf(refute_0_499,plain,
    multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),domain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))) )],[refute_0_495,refute_0_498]) ).

cnf(refute_0_500,plain,
    ( multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98)))))
    | multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != multiplication(X_98,domain(coantidomain(codomain(X_98))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = multiplication(X_98,domain(coantidomain(codomain(X_98)))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))))),bind(Y,$fot(multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))))),bind(Z,$fot(multiplication(X_98,domain(coantidomain(codomain(X_98))))))]]) ).

cnf(refute_0_501,plain,
    ( multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != multiplication(X_98,domain(coantidomain(codomain(X_98))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = multiplication(X_98,domain(coantidomain(codomain(X_98)))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98)))))) )],[refute_0_499,refute_0_500]) ).

cnf(refute_0_502,plain,
    multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) = multiplication(X_98,domain(coantidomain(codomain(X_98)))),
    inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) )],[refute_0_494,refute_0_501]) ).

cnf(refute_0_503,plain,
    ( multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != multiplication(X_98,domain(coantidomain(codomain(X_98))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != zero
    | multiplication(X_98,domain(coantidomain(codomain(X_98)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),zero) ),[0],$fot(multiplication(X_98,domain(coantidomain(codomain(X_98)))))]]) ).

cnf(refute_0_504,plain,
    ( multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) != zero
    | multiplication(X_98,domain(coantidomain(codomain(X_98)))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))) )],[refute_0_502,refute_0_503]) ).

cnf(refute_0_505,plain,
    multiplication(X_98,domain(coantidomain(codomain(X_98)))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(codomain(X_98)))))),multiplication(X_98,domain(coantidomain(codomain(X_98))))),zero) )],[refute_0_493,refute_0_504]) ).

cnf(refute_0_506,plain,
    multiplication(X_215,domain(coantidomain(codomain(X_215)))) = zero,
    inference(subst,[],[refute_0_505:[bind(X_98,$fot(X_215))]]) ).

cnf(refute_0_507,plain,
    ( multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) != addition(multiplication(X_215,domain(coantidomain(codomain(X_215)))),multiplication(X_215,X_217))
    | multiplication(X_215,domain(coantidomain(codomain(X_215)))) != zero
    | multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) = addition(zero,multiplication(X_215,X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)),addition(multiplication(X_215,domain(coantidomain(codomain(X_215)))),multiplication(X_215,X_217))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_508,plain,
    ( multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) != addition(multiplication(X_215,domain(coantidomain(codomain(X_215)))),multiplication(X_215,X_217))
    | multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) = addition(zero,multiplication(X_215,X_217)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,domain(coantidomain(codomain(X_215)))),zero) )],[refute_0_506,refute_0_507]) ).

cnf(refute_0_509,plain,
    multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) = addition(zero,multiplication(X_215,X_217)),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)),addition(multiplication(X_215,domain(coantidomain(codomain(X_215)))),multiplication(X_215,X_217))) )],[refute_0_462,refute_0_508]) ).

cnf(refute_0_510,plain,
    addition(zero,multiplication(X_215,X_217)) = multiplication(X_215,X_217),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(X_215,X_217)))]]) ).

cnf(refute_0_511,plain,
    ( addition(zero,multiplication(X_215,X_217)) != multiplication(X_215,X_217)
    | multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) != addition(zero,multiplication(X_215,X_217))
    | multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) = multiplication(X_215,X_217) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)),addition(zero,multiplication(X_215,X_217))) ),[1],$fot(multiplication(X_215,X_217))]]) ).

cnf(refute_0_512,plain,
    ( multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) != addition(zero,multiplication(X_215,X_217))
    | multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) = multiplication(X_215,X_217) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_215,X_217)),multiplication(X_215,X_217)) )],[refute_0_510,refute_0_511]) ).

cnf(refute_0_513,plain,
    multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)) = multiplication(X_215,X_217),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(domain(coantidomain(codomain(X_215))),X_217)),addition(zero,multiplication(X_215,X_217))) )],[refute_0_509,refute_0_512]) ).

cnf(refute_0_514,plain,
    multiplication(X_237,addition(domain(coantidomain(codomain(X_237))),antidomain(domain(coantidomain(codomain(X_237)))))) = multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))),
    inference(subst,[],[refute_0_513:[bind(X_215,$fot(X_237)),bind(X_217,$fot(antidomain(domain(coantidomain(codomain(X_237))))))]]) ).

cnf(refute_0_515,plain,
    addition(domain(coantidomain(codomain(X_237))),antidomain(domain(coantidomain(codomain(X_237))))) = one,
    inference(subst,[],[refute_0_366:[bind(X0,$fot(coantidomain(codomain(X_237))))]]) ).

cnf(refute_0_516,plain,
    ( addition(domain(coantidomain(codomain(X_237))),antidomain(domain(coantidomain(codomain(X_237))))) != one
    | multiplication(X_237,addition(domain(coantidomain(codomain(X_237))),antidomain(domain(coantidomain(codomain(X_237)))))) != multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))
    | multiplication(X_237,one) = multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_237,addition(domain(coantidomain(codomain(X_237))),antidomain(domain(coantidomain(codomain(X_237)))))),multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_517,plain,
    ( multiplication(X_237,addition(domain(coantidomain(codomain(X_237))),antidomain(domain(coantidomain(codomain(X_237)))))) != multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))
    | multiplication(X_237,one) = multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) ),
    inference(resolve,[$cnf( $equal(addition(domain(coantidomain(codomain(X_237))),antidomain(domain(coantidomain(codomain(X_237))))),one) )],[refute_0_515,refute_0_516]) ).

cnf(refute_0_518,plain,
    multiplication(X_237,one) = multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))),
    inference(resolve,[$cnf( $equal(multiplication(X_237,addition(domain(coantidomain(codomain(X_237))),antidomain(domain(coantidomain(codomain(X_237)))))),multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))) )],[refute_0_514,refute_0_517]) ).

cnf(refute_0_519,plain,
    multiplication(X_237,one) = X_237,
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_237))]]) ).

cnf(refute_0_520,plain,
    ( multiplication(X_237,one) != X_237
    | multiplication(X_237,one) != multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))
    | X_237 = multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_237,one),multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))) ),[0],$fot(X_237)]]) ).

cnf(refute_0_521,plain,
    ( multiplication(X_237,one) != multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))
    | X_237 = multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_237,one),X_237) )],[refute_0_519,refute_0_520]) ).

cnf(refute_0_522,plain,
    X_237 = multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))),
    inference(resolve,[$cnf( $equal(multiplication(X_237,one),multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))) )],[refute_0_518,refute_0_521]) ).

cnf(refute_0_523,plain,
    multiplication(domain(X_216),addition(X_216,X_217)) = addition(multiplication(domain(X_216),X_216),multiplication(domain(X_216),X_217)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(domain(X_216))),bind(B,$fot(X_216)),bind(C,$fot(X_217))]]) ).

cnf(refute_0_524,plain,
    X_216 = multiplication(domain(X_216),X_216),
    inference(subst,[],[refute_0_149:[bind(X_76,$fot(X_216))]]) ).

cnf(refute_0_525,plain,
    ( X_216 != multiplication(domain(X_216),X_216)
    | multiplication(domain(X_216),X_216) = X_216 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_216)),bind(Y,$fot(multiplication(domain(X_216),X_216)))]]) ).

cnf(refute_0_526,plain,
    multiplication(domain(X_216),X_216) = X_216,
    inference(resolve,[$cnf( $equal(X_216,multiplication(domain(X_216),X_216)) )],[refute_0_524,refute_0_525]) ).

cnf(refute_0_527,plain,
    ( multiplication(domain(X_216),X_216) != X_216
    | multiplication(domain(X_216),addition(X_216,X_217)) != addition(multiplication(domain(X_216),X_216),multiplication(domain(X_216),X_217))
    | multiplication(domain(X_216),addition(X_216,X_217)) = addition(X_216,multiplication(domain(X_216),X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_216),addition(X_216,X_217)),addition(multiplication(domain(X_216),X_216),multiplication(domain(X_216),X_217))) ),[1,0],$fot(X_216)]]) ).

cnf(refute_0_528,plain,
    ( multiplication(domain(X_216),addition(X_216,X_217)) != addition(multiplication(domain(X_216),X_216),multiplication(domain(X_216),X_217))
    | multiplication(domain(X_216),addition(X_216,X_217)) = addition(X_216,multiplication(domain(X_216),X_217)) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_216),X_216),X_216) )],[refute_0_526,refute_0_527]) ).

cnf(refute_0_529,plain,
    multiplication(domain(X_216),addition(X_216,X_217)) = addition(X_216,multiplication(domain(X_216),X_217)),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_216),addition(X_216,X_217)),addition(multiplication(domain(X_216),X_216),multiplication(domain(X_216),X_217))) )],[refute_0_523,refute_0_528]) ).

cnf(refute_0_530,plain,
    multiplication(domain(antidomain(X0)),addition(antidomain(X0),domain(X0))) = addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))),
    inference(subst,[],[refute_0_529:[bind(X_216,$fot(antidomain(X0))),bind(X_217,$fot(domain(X0)))]]) ).

cnf(refute_0_531,plain,
    ( addition(antidomain(X0),domain(X0)) != one
    | multiplication(domain(antidomain(X0)),addition(antidomain(X0),domain(X0))) != addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))
    | multiplication(domain(antidomain(X0)),one) = addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X0)),addition(antidomain(X0),domain(X0))),addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_532,plain,
    ( multiplication(domain(antidomain(X0)),addition(antidomain(X0),domain(X0))) != addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))
    | multiplication(domain(antidomain(X0)),one) = addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_101,refute_0_531]) ).

cnf(refute_0_533,plain,
    multiplication(domain(antidomain(X0)),one) = addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))),
    inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X0)),addition(antidomain(X0),domain(X0))),addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))) )],[refute_0_530,refute_0_532]) ).

cnf(refute_0_534,plain,
    multiplication(domain(antidomain(X0)),one) = domain(antidomain(X0)),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(domain(antidomain(X0))))]]) ).

cnf(refute_0_535,plain,
    ( domain(antidomain(X0)) != antidomain(domain(X0))
    | multiplication(domain(antidomain(X0)),one) != domain(antidomain(X0))
    | multiplication(domain(antidomain(X0)),one) = antidomain(domain(X0)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(domain(antidomain(X0)),one))),bind(Y,$fot(domain(antidomain(X0)))),bind(Z,$fot(antidomain(domain(X0))))]]) ).

cnf(refute_0_536,plain,
    ( domain(antidomain(X0)) != antidomain(domain(X0))
    | multiplication(domain(antidomain(X0)),one) = antidomain(domain(X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X0)),one),domain(antidomain(X0))) )],[refute_0_534,refute_0_535]) ).

cnf(refute_0_537,plain,
    multiplication(domain(antidomain(X0)),one) = antidomain(domain(X0)),
    inference(resolve,[$cnf( $equal(domain(antidomain(X0)),antidomain(domain(X0))) )],[refute_0_359,refute_0_536]) ).

cnf(refute_0_538,plain,
    ( multiplication(domain(antidomain(X0)),one) != addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))
    | multiplication(domain(antidomain(X0)),one) != antidomain(domain(X0))
    | antidomain(domain(X0)) = addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X0)),one),addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))) ),[0],$fot(antidomain(domain(X0)))]]) ).

cnf(refute_0_539,plain,
    ( multiplication(domain(antidomain(X0)),one) != addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))
    | antidomain(domain(X0)) = addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X0)),one),antidomain(domain(X0))) )],[refute_0_537,refute_0_538]) ).

cnf(refute_0_540,plain,
    addition(antidomain(X0),zero) = antidomain(X0),
    inference(subst,[],[additive_identity:[bind(A,$fot(antidomain(X0)))]]) ).

cnf(refute_0_541,plain,
    multiplication(antidomain(domain(X0)),domain(X0)) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(domain(X0)))]]) ).

cnf(refute_0_542,plain,
    multiplication(domain(antidomain(X0)),domain(X0)) = multiplication(domain(antidomain(X0)),domain(X0)),
    introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(X0)),domain(X0)))]]) ).

cnf(refute_0_543,plain,
    ( domain(antidomain(X0)) != antidomain(domain(X0))
    | multiplication(domain(antidomain(X0)),domain(X0)) != multiplication(domain(antidomain(X0)),domain(X0))
    | multiplication(domain(antidomain(X0)),domain(X0)) = multiplication(antidomain(domain(X0)),domain(X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X0)),domain(X0)),multiplication(domain(antidomain(X0)),domain(X0))) ),[1,0],$fot(antidomain(domain(X0)))]]) ).

cnf(refute_0_544,plain,
    ( domain(antidomain(X0)) != antidomain(domain(X0))
    | multiplication(domain(antidomain(X0)),domain(X0)) = multiplication(antidomain(domain(X0)),domain(X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X0)),domain(X0)),multiplication(domain(antidomain(X0)),domain(X0))) )],[refute_0_542,refute_0_543]) ).

cnf(refute_0_545,plain,
    multiplication(domain(antidomain(X0)),domain(X0)) = multiplication(antidomain(domain(X0)),domain(X0)),
    inference(resolve,[$cnf( $equal(domain(antidomain(X0)),antidomain(domain(X0))) )],[refute_0_359,refute_0_544]) ).

cnf(refute_0_546,plain,
    ( multiplication(antidomain(domain(X0)),domain(X0)) != zero
    | multiplication(domain(antidomain(X0)),domain(X0)) != multiplication(antidomain(domain(X0)),domain(X0))
    | multiplication(domain(antidomain(X0)),domain(X0)) = zero ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(domain(antidomain(X0)),domain(X0)))),bind(Y,$fot(multiplication(antidomain(domain(X0)),domain(X0)))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_547,plain,
    ( multiplication(antidomain(domain(X0)),domain(X0)) != zero
    | multiplication(domain(antidomain(X0)),domain(X0)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X0)),domain(X0)),multiplication(antidomain(domain(X0)),domain(X0))) )],[refute_0_545,refute_0_546]) ).

cnf(refute_0_548,plain,
    multiplication(domain(antidomain(X0)),domain(X0)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),domain(X0)),zero) )],[refute_0_541,refute_0_547]) ).

cnf(refute_0_549,plain,
    addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) = addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))),
    introduced(tautology,[refl,[$fot(addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))))]]) ).

cnf(refute_0_550,plain,
    ( addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) != addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))
    | multiplication(domain(antidomain(X0)),domain(X0)) != zero
    | addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) = addition(antidomain(X0),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))),addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_551,plain,
    ( multiplication(domain(antidomain(X0)),domain(X0)) != zero
    | addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) = addition(antidomain(X0),zero) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))),addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))) )],[refute_0_549,refute_0_550]) ).

cnf(refute_0_552,plain,
    addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) = addition(antidomain(X0),zero),
    inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X0)),domain(X0)),zero) )],[refute_0_548,refute_0_551]) ).

cnf(refute_0_553,plain,
    ( addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) != addition(antidomain(X0),zero)
    | addition(antidomain(X0),zero) != antidomain(X0)
    | addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) = antidomain(X0) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))))),bind(Y,$fot(addition(antidomain(X0),zero))),bind(Z,$fot(antidomain(X0)))]]) ).

cnf(refute_0_554,plain,
    ( addition(antidomain(X0),zero) != antidomain(X0)
    | addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) = antidomain(X0) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))),addition(antidomain(X0),zero)) )],[refute_0_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) = antidomain(X0),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),zero),antidomain(X0)) )],[refute_0_540,refute_0_554]) ).

cnf(refute_0_556,plain,
    ( addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))) != antidomain(X0)
    | antidomain(domain(X0)) != addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))
    | antidomain(domain(X0)) = antidomain(X0) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X0)),addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))) ),[1],$fot(antidomain(X0))]]) ).

cnf(refute_0_557,plain,
    ( antidomain(domain(X0)) != addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))
    | antidomain(domain(X0)) = antidomain(X0) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))),antidomain(X0)) )],[refute_0_555,refute_0_556]) ).

cnf(refute_0_558,plain,
    ( multiplication(domain(antidomain(X0)),one) != addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))
    | antidomain(domain(X0)) = antidomain(X0) ),
    inference(resolve,[$cnf( $equal(antidomain(domain(X0)),addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))) )],[refute_0_539,refute_0_557]) ).

cnf(refute_0_559,plain,
    antidomain(domain(X0)) = antidomain(X0),
    inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X0)),one),addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0)))) )],[refute_0_533,refute_0_558]) ).

cnf(refute_0_560,plain,
    antidomain(domain(coantidomain(codomain(X_237)))) = antidomain(coantidomain(codomain(X_237))),
    inference(subst,[],[refute_0_559:[bind(X0,$fot(coantidomain(codomain(X_237))))]]) ).

cnf(refute_0_561,plain,
    multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) = multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))),
    introduced(tautology,[refl,[$fot(multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))))]]) ).

cnf(refute_0_562,plain,
    ( antidomain(domain(coantidomain(codomain(X_237)))) != antidomain(coantidomain(codomain(X_237)))
    | multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) != multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))
    | multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) = multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))),multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))) ),[1,1],$fot(antidomain(coantidomain(codomain(X_237))))]]) ).

cnf(refute_0_563,plain,
    ( antidomain(domain(coantidomain(codomain(X_237)))) != antidomain(coantidomain(codomain(X_237)))
    | multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) = multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))),multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))) )],[refute_0_561,refute_0_562]) ).

cnf(refute_0_564,plain,
    multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) = multiplication(X_237,antidomain(coantidomain(codomain(X_237)))),
    inference(resolve,[$cnf( $equal(antidomain(domain(coantidomain(codomain(X_237)))),antidomain(coantidomain(codomain(X_237)))) )],[refute_0_560,refute_0_563]) ).

cnf(refute_0_565,plain,
    ( X_237 != multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))
    | multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))) != multiplication(X_237,antidomain(coantidomain(codomain(X_237))))
    | X_237 = multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_237,multiplication(X_237,antidomain(coantidomain(codomain(X_237))))) ),[0],$fot(multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))))]]) ).

cnf(refute_0_566,plain,
    ( X_237 != multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))
    | X_237 = multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237))))),multiplication(X_237,antidomain(coantidomain(codomain(X_237))))) )],[refute_0_564,refute_0_565]) ).

cnf(refute_0_567,plain,
    X_237 = multiplication(X_237,antidomain(coantidomain(codomain(X_237)))),
    inference(resolve,[$cnf( $equal(X_237,multiplication(X_237,antidomain(domain(coantidomain(codomain(X_237)))))) )],[refute_0_522,refute_0_566]) ).

cnf(refute_0_568,plain,
    multiplication(addition(codomain(X_287),domain(coantidomain(codomain(X_287)))),antidomain(coantidomain(codomain(X_287)))) = multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))),
    inference(subst,[],[refute_0_313:[bind(X_72,$fot(codomain(X_287))),bind(X_8,$fot(coantidomain(codomain(X_287))))]]) ).

cnf(refute_0_569,plain,
    addition(codomain(X_287),domain(coantidomain(codomain(X_287)))) = one,
    inference(subst,[],[refute_0_411:[bind(X0,$fot(X_287))]]) ).

cnf(refute_0_570,plain,
    ( addition(codomain(X_287),domain(coantidomain(codomain(X_287)))) != one
    | multiplication(addition(codomain(X_287),domain(coantidomain(codomain(X_287)))),antidomain(coantidomain(codomain(X_287)))) != multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))
    | multiplication(one,antidomain(coantidomain(codomain(X_287)))) = multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(X_287),domain(coantidomain(codomain(X_287)))),antidomain(coantidomain(codomain(X_287)))),multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_571,plain,
    ( multiplication(addition(codomain(X_287),domain(coantidomain(codomain(X_287)))),antidomain(coantidomain(codomain(X_287)))) != multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))
    | multiplication(one,antidomain(coantidomain(codomain(X_287)))) = multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X_287),domain(coantidomain(codomain(X_287)))),one) )],[refute_0_569,refute_0_570]) ).

cnf(refute_0_572,plain,
    multiplication(one,antidomain(coantidomain(codomain(X_287)))) = multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X_287),domain(coantidomain(codomain(X_287)))),antidomain(coantidomain(codomain(X_287)))),multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))) )],[refute_0_568,refute_0_571]) ).

cnf(refute_0_573,plain,
    multiplication(one,antidomain(coantidomain(codomain(X_287)))) = antidomain(coantidomain(codomain(X_287))),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(antidomain(coantidomain(codomain(X_287)))))]]) ).

cnf(refute_0_574,plain,
    ( multiplication(one,antidomain(coantidomain(codomain(X_287)))) != antidomain(coantidomain(codomain(X_287)))
    | multiplication(one,antidomain(coantidomain(codomain(X_287)))) != multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))
    | antidomain(coantidomain(codomain(X_287))) = multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(coantidomain(codomain(X_287)))),multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))) ),[0],$fot(antidomain(coantidomain(codomain(X_287))))]]) ).

cnf(refute_0_575,plain,
    ( multiplication(one,antidomain(coantidomain(codomain(X_287)))) != multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))
    | antidomain(coantidomain(codomain(X_287))) = multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))) ),
    inference(resolve,[$cnf( $equal(multiplication(one,antidomain(coantidomain(codomain(X_287)))),antidomain(coantidomain(codomain(X_287)))) )],[refute_0_573,refute_0_574]) ).

cnf(refute_0_576,plain,
    antidomain(coantidomain(codomain(X_287))) = multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))),
    inference(resolve,[$cnf( $equal(multiplication(one,antidomain(coantidomain(codomain(X_287)))),multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))) )],[refute_0_572,refute_0_575]) ).

cnf(refute_0_577,plain,
    multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) = addition(multiplication(X_215,domain(coantidomain(X_215))),multiplication(X_215,X_217)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(X_215)),bind(B,$fot(domain(coantidomain(X_215)))),bind(C,$fot(X_217))]]) ).

cnf(refute_0_578,plain,
    multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98)))))),multiplication(X_98,domain(coantidomain(X_98)))) = zero,
    inference(subst,[],[refute_0_62:[bind(X_143,$fot(multiplication(X_98,domain(coantidomain(X_98)))))]]) ).

cnf(refute_0_579,plain,
    addition(antidomain(multiplication(X_98,coantidomain(X_98))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = antidomain(multiplication(X_98,domain(coantidomain(X_98)))),
    inference(subst,[],[refute_0_84:[bind(X0,$fot(X_98)),bind(X1,$fot(coantidomain(X_98)))]]) ).

cnf(refute_0_580,plain,
    multiplication(X_98,coantidomain(X_98)) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(X_98))]]) ).

cnf(refute_0_581,plain,
    ( addition(antidomain(multiplication(X_98,coantidomain(X_98))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != antidomain(multiplication(X_98,domain(coantidomain(X_98))))
    | multiplication(X_98,coantidomain(X_98)) != zero
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = antidomain(multiplication(X_98,domain(coantidomain(X_98)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_98,coantidomain(X_98))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_582,plain,
    ( addition(antidomain(multiplication(X_98,coantidomain(X_98))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != antidomain(multiplication(X_98,domain(coantidomain(X_98))))
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = antidomain(multiplication(X_98,domain(coantidomain(X_98)))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_98,coantidomain(X_98)),zero) )],[refute_0_580,refute_0_581]) ).

cnf(refute_0_583,plain,
    addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = antidomain(multiplication(X_98,domain(coantidomain(X_98)))),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_98,coantidomain(X_98))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) )],[refute_0_579,refute_0_582]) ).

cnf(refute_0_584,plain,
    addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))),
    introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))))]]) ).

cnf(refute_0_585,plain,
    ( addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98)))))
    | antidomain(zero) != one
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))),addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98)))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_586,plain,
    ( antidomain(zero) != one
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))),addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98)))))) )],[refute_0_584,refute_0_585]) ).

cnf(refute_0_587,plain,
    addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))),
    inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_130,refute_0_586]) ).

cnf(refute_0_588,plain,
    ( addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98)))))
    | addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != antidomain(multiplication(X_98,domain(coantidomain(X_98))))
    | addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = antidomain(multiplication(X_98,domain(coantidomain(X_98)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) ),[0],$fot(addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))))]]) ).

cnf(refute_0_589,plain,
    ( addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != antidomain(multiplication(X_98,domain(coantidomain(X_98))))
    | addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = antidomain(multiplication(X_98,domain(coantidomain(X_98)))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))),addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98)))))) )],[refute_0_587,refute_0_588]) ).

cnf(refute_0_590,plain,
    addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = antidomain(multiplication(X_98,domain(coantidomain(X_98)))),
    inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_98,domain(coantidomain(X_98))))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) )],[refute_0_583,refute_0_589]) ).

cnf(refute_0_591,plain,
    ( addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != antidomain(multiplication(X_98,domain(coantidomain(X_98))))
    | multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98)))))),multiplication(X_98,domain(coantidomain(X_98)))) != zero
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98)))))),multiplication(X_98,domain(coantidomain(X_98)))),zero) ),[0,0,0],$fot(antidomain(multiplication(X_98,domain(coantidomain(X_98)))))]]) ).

cnf(refute_0_592,plain,
    ( multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98)))))),multiplication(X_98,domain(coantidomain(X_98)))) != zero
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = zero ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98))))),antidomain(multiplication(X_98,domain(coantidomain(X_98))))) )],[refute_0_590,refute_0_591]) ).

cnf(refute_0_593,plain,
    multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(one,antidomain(multiplication(X_98,domain(coantidomain(X_98)))))),multiplication(X_98,domain(coantidomain(X_98)))),zero) )],[refute_0_578,refute_0_592]) ).

cnf(refute_0_594,plain,
    multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))) = multiplication(X_98,domain(coantidomain(X_98))),
    inference(subst,[],[refute_0_151:[bind(X_76,$fot(multiplication(X_98,domain(coantidomain(X_98)))))]]) ).

cnf(refute_0_595,plain,
    antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))) = domain(multiplication(X_98,domain(coantidomain(X_98)))),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(multiplication(X_98,domain(coantidomain(X_98)))))]]) ).

cnf(refute_0_596,plain,
    multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))))]]) ).

cnf(refute_0_597,plain,
    ( antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != domain(multiplication(X_98,domain(coantidomain(X_98))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) != multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))),multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98))))) ),[1,0],$fot(domain(multiplication(X_98,domain(coantidomain(X_98)))))]]) ).

cnf(refute_0_598,plain,
    ( antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))) != domain(multiplication(X_98,domain(coantidomain(X_98))))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))),multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98))))) )],[refute_0_596,refute_0_597]) ).

cnf(refute_0_599,plain,
    multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),domain(multiplication(X_98,domain(coantidomain(X_98))))) )],[refute_0_595,refute_0_598]) ).

cnf(refute_0_600,plain,
    ( multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) != multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98))))
    | multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))) != multiplication(X_98,domain(coantidomain(X_98)))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = multiplication(X_98,domain(coantidomain(X_98))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))))),bind(Y,$fot(multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))))),bind(Z,$fot(multiplication(X_98,domain(coantidomain(X_98)))))]]) ).

cnf(refute_0_601,plain,
    ( multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))) != multiplication(X_98,domain(coantidomain(X_98)))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = multiplication(X_98,domain(coantidomain(X_98))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))),multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98))))) )],[refute_0_599,refute_0_600]) ).

cnf(refute_0_602,plain,
    multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) = multiplication(X_98,domain(coantidomain(X_98))),
    inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))) )],[refute_0_594,refute_0_601]) ).

cnf(refute_0_603,plain,
    ( multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) != multiplication(X_98,domain(coantidomain(X_98)))
    | multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) != zero
    | multiplication(X_98,domain(coantidomain(X_98))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))),zero) ),[0],$fot(multiplication(X_98,domain(coantidomain(X_98))))]]) ).

cnf(refute_0_604,plain,
    ( multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))) != zero
    | multiplication(X_98,domain(coantidomain(X_98))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))),multiplication(X_98,domain(coantidomain(X_98)))) )],[refute_0_602,refute_0_603]) ).

cnf(refute_0_605,plain,
    multiplication(X_98,domain(coantidomain(X_98))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(multiplication(X_98,domain(coantidomain(X_98))))),multiplication(X_98,domain(coantidomain(X_98)))),zero) )],[refute_0_593,refute_0_604]) ).

cnf(refute_0_606,plain,
    multiplication(X_215,domain(coantidomain(X_215))) = zero,
    inference(subst,[],[refute_0_605:[bind(X_98,$fot(X_215))]]) ).

cnf(refute_0_607,plain,
    ( multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) != addition(multiplication(X_215,domain(coantidomain(X_215))),multiplication(X_215,X_217))
    | multiplication(X_215,domain(coantidomain(X_215))) != zero
    | multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) = addition(zero,multiplication(X_215,X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)),addition(multiplication(X_215,domain(coantidomain(X_215))),multiplication(X_215,X_217))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_608,plain,
    ( multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) != addition(multiplication(X_215,domain(coantidomain(X_215))),multiplication(X_215,X_217))
    | multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) = addition(zero,multiplication(X_215,X_217)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,domain(coantidomain(X_215))),zero) )],[refute_0_606,refute_0_607]) ).

cnf(refute_0_609,plain,
    multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) = addition(zero,multiplication(X_215,X_217)),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)),addition(multiplication(X_215,domain(coantidomain(X_215))),multiplication(X_215,X_217))) )],[refute_0_577,refute_0_608]) ).

cnf(refute_0_610,plain,
    ( addition(zero,multiplication(X_215,X_217)) != multiplication(X_215,X_217)
    | multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) != addition(zero,multiplication(X_215,X_217))
    | multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) = multiplication(X_215,X_217) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)),addition(zero,multiplication(X_215,X_217))) ),[1],$fot(multiplication(X_215,X_217))]]) ).

cnf(refute_0_611,plain,
    ( multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) != addition(zero,multiplication(X_215,X_217))
    | multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) = multiplication(X_215,X_217) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_215,X_217)),multiplication(X_215,X_217)) )],[refute_0_510,refute_0_610]) ).

cnf(refute_0_612,plain,
    multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)) = multiplication(X_215,X_217),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(domain(coantidomain(X_215)),X_217)),addition(zero,multiplication(X_215,X_217))) )],[refute_0_609,refute_0_611]) ).

cnf(refute_0_613,plain,
    multiplication(X_226,addition(domain(coantidomain(X_226)),antidomain(domain(coantidomain(X_226))))) = multiplication(X_226,antidomain(domain(coantidomain(X_226)))),
    inference(subst,[],[refute_0_612:[bind(X_215,$fot(X_226)),bind(X_217,$fot(antidomain(domain(coantidomain(X_226)))))]]) ).

cnf(refute_0_614,plain,
    addition(domain(coantidomain(X_226)),antidomain(domain(coantidomain(X_226)))) = one,
    inference(subst,[],[refute_0_366:[bind(X0,$fot(coantidomain(X_226)))]]) ).

cnf(refute_0_615,plain,
    ( addition(domain(coantidomain(X_226)),antidomain(domain(coantidomain(X_226)))) != one
    | multiplication(X_226,addition(domain(coantidomain(X_226)),antidomain(domain(coantidomain(X_226))))) != multiplication(X_226,antidomain(domain(coantidomain(X_226))))
    | multiplication(X_226,one) = multiplication(X_226,antidomain(domain(coantidomain(X_226)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_226,addition(domain(coantidomain(X_226)),antidomain(domain(coantidomain(X_226))))),multiplication(X_226,antidomain(domain(coantidomain(X_226))))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_616,plain,
    ( multiplication(X_226,addition(domain(coantidomain(X_226)),antidomain(domain(coantidomain(X_226))))) != multiplication(X_226,antidomain(domain(coantidomain(X_226))))
    | multiplication(X_226,one) = multiplication(X_226,antidomain(domain(coantidomain(X_226)))) ),
    inference(resolve,[$cnf( $equal(addition(domain(coantidomain(X_226)),antidomain(domain(coantidomain(X_226)))),one) )],[refute_0_614,refute_0_615]) ).

cnf(refute_0_617,plain,
    multiplication(X_226,one) = multiplication(X_226,antidomain(domain(coantidomain(X_226)))),
    inference(resolve,[$cnf( $equal(multiplication(X_226,addition(domain(coantidomain(X_226)),antidomain(domain(coantidomain(X_226))))),multiplication(X_226,antidomain(domain(coantidomain(X_226))))) )],[refute_0_613,refute_0_616]) ).

cnf(refute_0_618,plain,
    multiplication(X_226,one) = X_226,
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_226))]]) ).

cnf(refute_0_619,plain,
    ( multiplication(X_226,one) != X_226
    | multiplication(X_226,one) != multiplication(X_226,antidomain(domain(coantidomain(X_226))))
    | X_226 = multiplication(X_226,antidomain(domain(coantidomain(X_226)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_226,one),multiplication(X_226,antidomain(domain(coantidomain(X_226))))) ),[0],$fot(X_226)]]) ).

cnf(refute_0_620,plain,
    ( multiplication(X_226,one) != multiplication(X_226,antidomain(domain(coantidomain(X_226))))
    | X_226 = multiplication(X_226,antidomain(domain(coantidomain(X_226)))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_226,one),X_226) )],[refute_0_618,refute_0_619]) ).

cnf(refute_0_621,plain,
    X_226 = multiplication(X_226,antidomain(domain(coantidomain(X_226)))),
    inference(resolve,[$cnf( $equal(multiplication(X_226,one),multiplication(X_226,antidomain(domain(coantidomain(X_226))))) )],[refute_0_617,refute_0_620]) ).

cnf(refute_0_622,plain,
    antidomain(domain(coantidomain(X_226))) = antidomain(coantidomain(X_226)),
    inference(subst,[],[refute_0_559:[bind(X0,$fot(coantidomain(X_226)))]]) ).

cnf(refute_0_623,plain,
    multiplication(X_226,antidomain(domain(coantidomain(X_226)))) = multiplication(X_226,antidomain(domain(coantidomain(X_226)))),
    introduced(tautology,[refl,[$fot(multiplication(X_226,antidomain(domain(coantidomain(X_226)))))]]) ).

cnf(refute_0_624,plain,
    ( antidomain(domain(coantidomain(X_226))) != antidomain(coantidomain(X_226))
    | multiplication(X_226,antidomain(domain(coantidomain(X_226)))) != multiplication(X_226,antidomain(domain(coantidomain(X_226))))
    | multiplication(X_226,antidomain(domain(coantidomain(X_226)))) = multiplication(X_226,antidomain(coantidomain(X_226))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_226,antidomain(domain(coantidomain(X_226)))),multiplication(X_226,antidomain(domain(coantidomain(X_226))))) ),[1,1],$fot(antidomain(coantidomain(X_226)))]]) ).

cnf(refute_0_625,plain,
    ( antidomain(domain(coantidomain(X_226))) != antidomain(coantidomain(X_226))
    | multiplication(X_226,antidomain(domain(coantidomain(X_226)))) = multiplication(X_226,antidomain(coantidomain(X_226))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_226,antidomain(domain(coantidomain(X_226)))),multiplication(X_226,antidomain(domain(coantidomain(X_226))))) )],[refute_0_623,refute_0_624]) ).

cnf(refute_0_626,plain,
    multiplication(X_226,antidomain(domain(coantidomain(X_226)))) = multiplication(X_226,antidomain(coantidomain(X_226))),
    inference(resolve,[$cnf( $equal(antidomain(domain(coantidomain(X_226))),antidomain(coantidomain(X_226))) )],[refute_0_622,refute_0_625]) ).

cnf(refute_0_627,plain,
    ( X_226 != multiplication(X_226,antidomain(domain(coantidomain(X_226))))
    | multiplication(X_226,antidomain(domain(coantidomain(X_226)))) != multiplication(X_226,antidomain(coantidomain(X_226)))
    | X_226 = multiplication(X_226,antidomain(coantidomain(X_226))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_226,multiplication(X_226,antidomain(coantidomain(X_226)))) ),[0],$fot(multiplication(X_226,antidomain(domain(coantidomain(X_226)))))]]) ).

cnf(refute_0_628,plain,
    ( X_226 != multiplication(X_226,antidomain(domain(coantidomain(X_226))))
    | X_226 = multiplication(X_226,antidomain(coantidomain(X_226))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_226,antidomain(domain(coantidomain(X_226)))),multiplication(X_226,antidomain(coantidomain(X_226)))) )],[refute_0_626,refute_0_627]) ).

cnf(refute_0_629,plain,
    X_226 = multiplication(X_226,antidomain(coantidomain(X_226))),
    inference(resolve,[$cnf( $equal(X_226,multiplication(X_226,antidomain(domain(coantidomain(X_226))))) )],[refute_0_621,refute_0_628]) ).

cnf(refute_0_630,plain,
    ( X_226 != multiplication(X_226,antidomain(coantidomain(X_226)))
    | multiplication(X_226,antidomain(coantidomain(X_226))) = X_226 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_226)),bind(Y,$fot(multiplication(X_226,antidomain(coantidomain(X_226)))))]]) ).

cnf(refute_0_631,plain,
    multiplication(X_226,antidomain(coantidomain(X_226))) = X_226,
    inference(resolve,[$cnf( $equal(X_226,multiplication(X_226,antidomain(coantidomain(X_226)))) )],[refute_0_629,refute_0_630]) ).

cnf(refute_0_632,plain,
    multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))) = codomain(X_287),
    inference(subst,[],[refute_0_631:[bind(X_226,$fot(codomain(X_287)))]]) ).

cnf(refute_0_633,plain,
    ( antidomain(coantidomain(codomain(X_287))) != multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))
    | multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))) != codomain(X_287)
    | antidomain(coantidomain(codomain(X_287))) = codomain(X_287) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(coantidomain(codomain(X_287))),codomain(X_287)) ),[0],$fot(multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))))]]) ).

cnf(refute_0_634,plain,
    ( antidomain(coantidomain(codomain(X_287))) != multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))
    | antidomain(coantidomain(codomain(X_287))) = codomain(X_287) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287)))),codomain(X_287)) )],[refute_0_632,refute_0_633]) ).

cnf(refute_0_635,plain,
    antidomain(coantidomain(codomain(X_287))) = codomain(X_287),
    inference(resolve,[$cnf( $equal(antidomain(coantidomain(codomain(X_287))),multiplication(codomain(X_287),antidomain(coantidomain(codomain(X_287))))) )],[refute_0_576,refute_0_634]) ).

cnf(refute_0_636,plain,
    antidomain(coantidomain(codomain(X_237))) = codomain(X_237),
    inference(subst,[],[refute_0_635:[bind(X_287,$fot(X_237))]]) ).

cnf(refute_0_637,plain,
    multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) = multiplication(X_237,antidomain(coantidomain(codomain(X_237)))),
    introduced(tautology,[refl,[$fot(multiplication(X_237,antidomain(coantidomain(codomain(X_237)))))]]) ).

cnf(refute_0_638,plain,
    ( antidomain(coantidomain(codomain(X_237))) != codomain(X_237)
    | multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) != multiplication(X_237,antidomain(coantidomain(codomain(X_237))))
    | multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) = multiplication(X_237,codomain(X_237)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_237,antidomain(coantidomain(codomain(X_237)))),multiplication(X_237,antidomain(coantidomain(codomain(X_237))))) ),[1,1],$fot(codomain(X_237))]]) ).

cnf(refute_0_639,plain,
    ( antidomain(coantidomain(codomain(X_237))) != codomain(X_237)
    | multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) = multiplication(X_237,codomain(X_237)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_237,antidomain(coantidomain(codomain(X_237)))),multiplication(X_237,antidomain(coantidomain(codomain(X_237))))) )],[refute_0_637,refute_0_638]) ).

cnf(refute_0_640,plain,
    multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) = multiplication(X_237,codomain(X_237)),
    inference(resolve,[$cnf( $equal(antidomain(coantidomain(codomain(X_237))),codomain(X_237)) )],[refute_0_636,refute_0_639]) ).

cnf(refute_0_641,plain,
    ( X_237 != multiplication(X_237,antidomain(coantidomain(codomain(X_237))))
    | multiplication(X_237,antidomain(coantidomain(codomain(X_237)))) != multiplication(X_237,codomain(X_237))
    | X_237 = multiplication(X_237,codomain(X_237)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_237,multiplication(X_237,codomain(X_237))) ),[0],$fot(multiplication(X_237,antidomain(coantidomain(codomain(X_237)))))]]) ).

cnf(refute_0_642,plain,
    ( X_237 != multiplication(X_237,antidomain(coantidomain(codomain(X_237))))
    | X_237 = multiplication(X_237,codomain(X_237)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_237,antidomain(coantidomain(codomain(X_237)))),multiplication(X_237,codomain(X_237))) )],[refute_0_640,refute_0_641]) ).

cnf(refute_0_643,plain,
    X_237 = multiplication(X_237,codomain(X_237)),
    inference(resolve,[$cnf( $equal(X_237,multiplication(X_237,antidomain(coantidomain(codomain(X_237))))) )],[refute_0_567,refute_0_642]) ).

cnf(refute_0_644,plain,
    ( X_237 != multiplication(X_237,codomain(X_237))
    | multiplication(X_237,codomain(X_237)) = X_237 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_237)),bind(Y,$fot(multiplication(X_237,codomain(X_237))))]]) ).

cnf(refute_0_645,plain,
    multiplication(X_237,codomain(X_237)) = X_237,
    inference(resolve,[$cnf( $equal(X_237,multiplication(X_237,codomain(X_237))) )],[refute_0_643,refute_0_644]) ).

cnf(refute_0_646,plain,
    multiplication(codomain(X0),codomain(codomain(X0))) = codomain(X0),
    inference(subst,[],[refute_0_645:[bind(X_237,$fot(codomain(X0)))]]) ).

cnf(refute_0_647,plain,
    ( codomain(codomain(X0)) != multiplication(codomain(X0),codomain(codomain(X0)))
    | multiplication(codomain(X0),codomain(codomain(X0))) != codomain(X0)
    | codomain(codomain(X0)) = codomain(X0) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(codomain(codomain(X0)),codomain(X0)) ),[0],$fot(multiplication(codomain(X0),codomain(codomain(X0))))]]) ).

cnf(refute_0_648,plain,
    ( codomain(codomain(X0)) != multiplication(codomain(X0),codomain(codomain(X0)))
    | codomain(codomain(X0)) = codomain(X0) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X0),codomain(codomain(X0))),codomain(X0)) )],[refute_0_646,refute_0_647]) ).

cnf(refute_0_649,plain,
    codomain(codomain(X0)) = codomain(X0),
    inference(resolve,[$cnf( $equal(codomain(codomain(X0)),multiplication(codomain(X0),codomain(codomain(X0)))) )],[refute_0_461,refute_0_648]) ).

cnf(refute_0_650,plain,
    codomain(codomain(X_288)) = codomain(X_288),
    inference(subst,[],[refute_0_649:[bind(X0,$fot(X_288))]]) ).

cnf(refute_0_651,plain,
    antidomain(codomain(codomain(X_288))) = antidomain(codomain(codomain(X_288))),
    introduced(tautology,[refl,[$fot(antidomain(codomain(codomain(X_288))))]]) ).

cnf(refute_0_652,plain,
    ( antidomain(codomain(codomain(X_288))) != antidomain(codomain(codomain(X_288)))
    | codomain(codomain(X_288)) != codomain(X_288)
    | antidomain(codomain(codomain(X_288))) = antidomain(codomain(X_288)) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(codomain(codomain(X_288))),antidomain(codomain(codomain(X_288)))) ),[1,0],$fot(codomain(X_288))]]) ).

cnf(refute_0_653,plain,
    ( codomain(codomain(X_288)) != codomain(X_288)
    | antidomain(codomain(codomain(X_288))) = antidomain(codomain(X_288)) ),
    inference(resolve,[$cnf( $equal(antidomain(codomain(codomain(X_288))),antidomain(codomain(codomain(X_288)))) )],[refute_0_651,refute_0_652]) ).

cnf(refute_0_654,plain,
    antidomain(codomain(codomain(X_288))) = antidomain(codomain(X_288)),
    inference(resolve,[$cnf( $equal(codomain(codomain(X_288)),codomain(X_288)) )],[refute_0_650,refute_0_653]) ).

cnf(refute_0_655,plain,
    ( antidomain(codomain(codomain(X_288))) != antidomain(codomain(X_288))
    | antidomain(codomain(codomain(X_288))) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | antidomain(codomain(X_288)) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(codomain(codomain(X_288))),multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))) ),[0],$fot(antidomain(codomain(X_288)))]]) ).

cnf(refute_0_656,plain,
    ( antidomain(codomain(codomain(X_288))) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | antidomain(codomain(X_288)) = multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))) ),
    inference(resolve,[$cnf( $equal(antidomain(codomain(codomain(X_288))),antidomain(codomain(X_288))) )],[refute_0_654,refute_0_655]) ).

cnf(refute_0_657,plain,
    coantidomain(X0) = multiplication(coantidomain(X0),antidomain(domain(coantidomain(coantidomain(X0))))),
    inference(subst,[],[refute_0_621:[bind(X_226,$fot(coantidomain(X0)))]]) ).

cnf(refute_0_658,plain,
    ( coantidomain(X0) != multiplication(coantidomain(X0),antidomain(domain(coantidomain(coantidomain(X0)))))
    | coantidomain(coantidomain(X0)) != codomain(X0)
    | coantidomain(X0) = multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(coantidomain(X0),multiplication(coantidomain(X0),antidomain(domain(coantidomain(coantidomain(X0)))))) ),[1,1,0,0],$fot(codomain(X0))]]) ).

cnf(refute_0_659,plain,
    ( coantidomain(X0) != multiplication(coantidomain(X0),antidomain(domain(coantidomain(coantidomain(X0)))))
    | coantidomain(X0) = multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))) ),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_206,refute_0_658]) ).

cnf(refute_0_660,plain,
    coantidomain(X0) = multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))),
    inference(resolve,[$cnf( $equal(coantidomain(X0),multiplication(coantidomain(X0),antidomain(domain(coantidomain(coantidomain(X0)))))) )],[refute_0_657,refute_0_659]) ).

cnf(refute_0_661,plain,
    antidomain(domain(codomain(X0))) = antidomain(codomain(X0)),
    inference(subst,[],[refute_0_559:[bind(X0,$fot(codomain(X0)))]]) ).

cnf(refute_0_662,plain,
    multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))) = multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))),
    introduced(tautology,[refl,[$fot(multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))))]]) ).

cnf(refute_0_663,plain,
    ( antidomain(domain(codomain(X0))) != antidomain(codomain(X0))
    | multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))) != multiplication(coantidomain(X0),antidomain(domain(codomain(X0))))
    | multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))) = multiplication(coantidomain(X0),antidomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))),multiplication(coantidomain(X0),antidomain(domain(codomain(X0))))) ),[1,1],$fot(antidomain(codomain(X0)))]]) ).

cnf(refute_0_664,plain,
    ( antidomain(domain(codomain(X0))) != antidomain(codomain(X0))
    | multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))) = multiplication(coantidomain(X0),antidomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))),multiplication(coantidomain(X0),antidomain(domain(codomain(X0))))) )],[refute_0_662,refute_0_663]) ).

cnf(refute_0_665,plain,
    multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(antidomain(domain(codomain(X0))),antidomain(codomain(X0))) )],[refute_0_661,refute_0_664]) ).

cnf(refute_0_666,plain,
    ( coantidomain(X0) != multiplication(coantidomain(X0),antidomain(domain(codomain(X0))))
    | multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))) != multiplication(coantidomain(X0),antidomain(codomain(X0)))
    | coantidomain(X0) = multiplication(coantidomain(X0),antidomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(coantidomain(X0),multiplication(coantidomain(X0),antidomain(codomain(X0)))) ),[0],$fot(multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))))]]) ).

cnf(refute_0_667,plain,
    ( coantidomain(X0) != multiplication(coantidomain(X0),antidomain(domain(codomain(X0))))
    | coantidomain(X0) = multiplication(coantidomain(X0),antidomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),antidomain(domain(codomain(X0)))),multiplication(coantidomain(X0),antidomain(codomain(X0)))) )],[refute_0_665,refute_0_666]) ).

cnf(refute_0_668,plain,
    coantidomain(X0) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(coantidomain(X0),multiplication(coantidomain(X0),antidomain(domain(codomain(X0))))) )],[refute_0_660,refute_0_667]) ).

cnf(refute_0_669,plain,
    ( coantidomain(X0) != multiplication(coantidomain(X0),antidomain(codomain(X0)))
    | multiplication(coantidomain(X0),antidomain(codomain(X0))) = coantidomain(X0) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(coantidomain(X0))),bind(Y,$fot(multiplication(coantidomain(X0),antidomain(codomain(X0)))))]]) ).

cnf(refute_0_670,plain,
    multiplication(coantidomain(X0),antidomain(codomain(X0))) = coantidomain(X0),
    inference(resolve,[$cnf( $equal(coantidomain(X0),multiplication(coantidomain(X0),antidomain(codomain(X0)))) )],[refute_0_668,refute_0_669]) ).

cnf(refute_0_671,plain,
    multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))) = coantidomain(codomain(X_288)),
    inference(subst,[],[refute_0_670:[bind(X0,$fot(codomain(X_288)))]]) ).

cnf(refute_0_672,plain,
    ( antidomain(codomain(X_288)) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))) != coantidomain(codomain(X_288))
    | antidomain(codomain(X_288)) = coantidomain(codomain(X_288)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(codomain(X_288)),coantidomain(codomain(X_288))) ),[0],$fot(multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))))]]) ).

cnf(refute_0_673,plain,
    ( antidomain(codomain(X_288)) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | antidomain(codomain(X_288)) = coantidomain(codomain(X_288)) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288)))),coantidomain(codomain(X_288))) )],[refute_0_671,refute_0_672]) ).

cnf(refute_0_674,plain,
    ( antidomain(codomain(codomain(X_288))) != multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))
    | antidomain(codomain(X_288)) = coantidomain(codomain(X_288)) ),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_288)),multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))) )],[refute_0_656,refute_0_673]) ).

cnf(refute_0_675,plain,
    antidomain(codomain(X_288)) = coantidomain(codomain(X_288)),
    inference(resolve,[$cnf( $equal(antidomain(codomain(codomain(X_288))),multiplication(coantidomain(codomain(X_288)),antidomain(codomain(codomain(X_288))))) )],[refute_0_442,refute_0_674]) ).

cnf(refute_0_676,plain,
    ( antidomain(codomain(X_288)) != coantidomain(codomain(X_288))
    | coantidomain(codomain(X_288)) = antidomain(codomain(X_288)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(antidomain(codomain(X_288)))),bind(Y,$fot(coantidomain(codomain(X_288))))]]) ).

cnf(refute_0_677,plain,
    coantidomain(codomain(X_288)) = antidomain(codomain(X_288)),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_288)),coantidomain(codomain(X_288))) )],[refute_0_675,refute_0_676]) ).

cnf(refute_0_678,plain,
    coantidomain(codomain(X0)) = antidomain(codomain(X0)),
    inference(subst,[],[refute_0_677:[bind(X_288,$fot(X0))]]) ).

cnf(refute_0_679,plain,
    ( coantidomain(codomain(X0)) != antidomain(codomain(X0))
    | coantidomain(codomain(X0)) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | antidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(coantidomain(codomain(X0)),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[0],$fot(antidomain(codomain(X0)))]]) ).

cnf(refute_0_680,plain,
    ( coantidomain(codomain(X0)) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | antidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X0)),antidomain(codomain(X0))) )],[refute_0_678,refute_0_679]) ).

cnf(refute_0_681,plain,
    multiplication(coantidomain(X0),coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
    introduced(tautology,[refl,[$fot(multiplication(coantidomain(X0),coantidomain(codomain(X0))))]]) ).

cnf(refute_0_682,plain,
    ( coantidomain(codomain(X0)) != antidomain(codomain(X0))
    | multiplication(coantidomain(X0),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | multiplication(coantidomain(X0),coantidomain(codomain(X0))) = multiplication(coantidomain(X0),antidomain(codomain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X0),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[1,1],$fot(antidomain(codomain(X0)))]]) ).

cnf(refute_0_683,plain,
    ( coantidomain(codomain(X0)) != antidomain(codomain(X0))
    | multiplication(coantidomain(X0),coantidomain(codomain(X0))) = multiplication(coantidomain(X0),antidomain(codomain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_681,refute_0_682]) ).

cnf(refute_0_684,plain,
    multiplication(coantidomain(X0),coantidomain(codomain(X0))) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X0)),antidomain(codomain(X0))) )],[refute_0_678,refute_0_683]) ).

cnf(refute_0_685,plain,
    ( multiplication(coantidomain(X0),antidomain(codomain(X0))) != coantidomain(X0)
    | multiplication(coantidomain(X0),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),antidomain(codomain(X0)))
    | multiplication(coantidomain(X0),coantidomain(codomain(X0))) = coantidomain(X0) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(coantidomain(X0),coantidomain(codomain(X0))))),bind(Y,$fot(multiplication(coantidomain(X0),antidomain(codomain(X0))))),bind(Z,$fot(coantidomain(X0)))]]) ).

cnf(refute_0_686,plain,
    ( multiplication(coantidomain(X0),antidomain(codomain(X0))) != coantidomain(X0)
    | multiplication(coantidomain(X0),coantidomain(codomain(X0))) = coantidomain(X0) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),coantidomain(codomain(X0))),multiplication(coantidomain(X0),antidomain(codomain(X0)))) )],[refute_0_684,refute_0_685]) ).

cnf(refute_0_687,plain,
    multiplication(coantidomain(X0),coantidomain(codomain(X0))) = coantidomain(X0),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),antidomain(codomain(X0))),coantidomain(X0)) )],[refute_0_670,refute_0_686]) ).

cnf(refute_0_688,plain,
    ( antidomain(codomain(X0)) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | multiplication(coantidomain(X0),coantidomain(codomain(X0))) != coantidomain(X0)
    | antidomain(codomain(X0)) = coantidomain(X0) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(codomain(X0)),coantidomain(X0)) ),[0],$fot(multiplication(coantidomain(X0),coantidomain(codomain(X0))))]]) ).

cnf(refute_0_689,plain,
    ( antidomain(codomain(X0)) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | antidomain(codomain(X0)) = coantidomain(X0) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),coantidomain(codomain(X0))),coantidomain(X0)) )],[refute_0_687,refute_0_688]) ).

cnf(refute_0_690,plain,
    ( coantidomain(codomain(X0)) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
    | antidomain(codomain(X0)) = coantidomain(X0) ),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X0)),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_680,refute_0_689]) ).

cnf(refute_0_691,plain,
    antidomain(codomain(X0)) = coantidomain(X0),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X0)),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_298,refute_0_690]) ).

cnf(refute_0_692,plain,
    antidomain(codomain(X_164)) = coantidomain(X_164),
    inference(subst,[],[refute_0_691:[bind(X0,$fot(X_164))]]) ).

cnf(refute_0_693,plain,
    coantidomain(codomain(X_164)) = antidomain(codomain(X_164)),
    inference(subst,[],[refute_0_677:[bind(X_288,$fot(X_164))]]) ).

cnf(refute_0_694,plain,
    ( antidomain(codomain(X_164)) != coantidomain(X_164)
    | coantidomain(codomain(X_164)) != antidomain(codomain(X_164))
    | coantidomain(codomain(X_164)) = coantidomain(X_164) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(coantidomain(codomain(X_164)))),bind(Y,$fot(antidomain(codomain(X_164)))),bind(Z,$fot(coantidomain(X_164)))]]) ).

cnf(refute_0_695,plain,
    ( antidomain(codomain(X_164)) != coantidomain(X_164)
    | coantidomain(codomain(X_164)) = coantidomain(X_164) ),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X_164)),antidomain(codomain(X_164))) )],[refute_0_693,refute_0_694]) ).

cnf(refute_0_696,plain,
    coantidomain(codomain(X_164)) = coantidomain(X_164),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_164)),coantidomain(X_164)) )],[refute_0_692,refute_0_695]) ).

cnf(refute_0_697,plain,
    addition(one,coantidomain(codomain(X_164))) = addition(one,coantidomain(codomain(X_164))),
    introduced(tautology,[refl,[$fot(addition(one,coantidomain(codomain(X_164))))]]) ).

cnf(refute_0_698,plain,
    ( addition(one,coantidomain(codomain(X_164))) != addition(one,coantidomain(codomain(X_164)))
    | coantidomain(codomain(X_164)) != coantidomain(X_164)
    | addition(one,coantidomain(codomain(X_164))) = addition(one,coantidomain(X_164)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))) ),[1,1],$fot(coantidomain(X_164))]]) ).

cnf(refute_0_699,plain,
    ( coantidomain(codomain(X_164)) != coantidomain(X_164)
    | addition(one,coantidomain(codomain(X_164))) = addition(one,coantidomain(X_164)) ),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_164))),addition(one,coantidomain(codomain(X_164)))) )],[refute_0_697,refute_0_698]) ).

cnf(refute_0_700,plain,
    addition(one,coantidomain(codomain(X_164))) = addition(one,coantidomain(X_164)),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X_164)),coantidomain(X_164)) )],[refute_0_696,refute_0_699]) ).

cnf(refute_0_701,plain,
    ( addition(one,coantidomain(codomain(X_164))) != addition(one,coantidomain(X_164))
    | one != addition(one,coantidomain(codomain(X_164)))
    | one = addition(one,coantidomain(X_164)) ),
    introduced(tautology,[equality,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_164)))) ),[1],$fot(addition(one,coantidomain(X_164)))]]) ).

cnf(refute_0_702,plain,
    ( one != addition(one,coantidomain(codomain(X_164)))
    | one = addition(one,coantidomain(X_164)) ),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_164))),addition(one,coantidomain(X_164))) )],[refute_0_700,refute_0_701]) ).

cnf(refute_0_703,plain,
    one = addition(one,coantidomain(X_164)),
    inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_164)))) )],[refute_0_281,refute_0_702]) ).

cnf(refute_0_704,plain,
    ( one != addition(one,coantidomain(X_164))
    | addition(one,coantidomain(X_164)) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(addition(one,coantidomain(X_164))))]]) ).

cnf(refute_0_705,plain,
    addition(one,coantidomain(X_164)) = one,
    inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(X_164))) )],[refute_0_703,refute_0_704]) ).

cnf(refute_0_706,plain,
    addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = one,
    inference(subst,[],[refute_0_705:[bind(X_164,$fot(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))))]]) ).

cnf(refute_0_707,plain,
    addition(zero,coantidomain(zero)) = addition(coantidomain(zero),zero),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(zero)),bind(B,$fot(coantidomain(zero)))]]) ).

cnf(refute_0_708,plain,
    addition(coantidomain(one),codomain(one)) = one,
    inference(subst,[],[refute_0_250:[bind(X0,$fot(one))]]) ).

cnf(refute_0_709,plain,
    codomain(one) = coantidomain(coantidomain(one)),
    inference(subst,[],[codomain4:[bind(X0,$fot(one))]]) ).

cnf(refute_0_710,plain,
    multiplication(one,coantidomain(one)) = coantidomain(one),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(coantidomain(one)))]]) ).

cnf(refute_0_711,plain,
    multiplication(one,coantidomain(one)) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(one))]]) ).

cnf(refute_0_712,plain,
    ( multiplication(one,coantidomain(one)) != coantidomain(one)
    | multiplication(one,coantidomain(one)) != zero
    | zero = coantidomain(one) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) ),[0],$fot(zero)]]) ).

cnf(refute_0_713,plain,
    ( multiplication(one,coantidomain(one)) != coantidomain(one)
    | zero = coantidomain(one) ),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) )],[refute_0_711,refute_0_712]) ).

cnf(refute_0_714,plain,
    zero = coantidomain(one),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) )],[refute_0_710,refute_0_713]) ).

cnf(refute_0_715,plain,
    ( zero != coantidomain(one)
    | coantidomain(one) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(coantidomain(one)))]]) ).

cnf(refute_0_716,plain,
    coantidomain(one) = zero,
    inference(resolve,[$cnf( $equal(zero,coantidomain(one)) )],[refute_0_714,refute_0_715]) ).

cnf(refute_0_717,plain,
    ( coantidomain(one) != zero
    | codomain(one) != coantidomain(coantidomain(one))
    | codomain(one) = coantidomain(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_718,plain,
    ( codomain(one) != coantidomain(coantidomain(one))
    | codomain(one) = coantidomain(zero) ),
    inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_716,refute_0_717]) ).

cnf(refute_0_719,plain,
    codomain(one) = coantidomain(zero),
    inference(resolve,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) )],[refute_0_709,refute_0_718]) ).

cnf(refute_0_720,plain,
    ( addition(coantidomain(one),codomain(one)) != one
    | codomain(one) != coantidomain(zero)
    | addition(coantidomain(one),coantidomain(zero)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) ),[0,1],$fot(coantidomain(zero))]]) ).

cnf(refute_0_721,plain,
    ( addition(coantidomain(one),codomain(one)) != one
    | addition(coantidomain(one),coantidomain(zero)) = one ),
    inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_719,refute_0_720]) ).

cnf(refute_0_722,plain,
    addition(coantidomain(one),coantidomain(zero)) = one,
    inference(resolve,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) )],[refute_0_708,refute_0_721]) ).

cnf(refute_0_723,plain,
    addition(coantidomain(one),coantidomain(zero)) = addition(coantidomain(one),coantidomain(zero)),
    introduced(tautology,[refl,[$fot(addition(coantidomain(one),coantidomain(zero)))]]) ).

cnf(refute_0_724,plain,
    ( addition(coantidomain(one),coantidomain(zero)) != addition(coantidomain(one),coantidomain(zero))
    | coantidomain(one) != zero
    | addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_725,plain,
    ( coantidomain(one) != zero
    | addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) )],[refute_0_723,refute_0_724]) ).

cnf(refute_0_726,plain,
    addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)),
    inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_716,refute_0_725]) ).

cnf(refute_0_727,plain,
    ( addition(coantidomain(one),coantidomain(zero)) != addition(zero,coantidomain(zero))
    | addition(coantidomain(one),coantidomain(zero)) != one
    | addition(zero,coantidomain(zero)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) ),[0],$fot(addition(zero,coantidomain(zero)))]]) ).

cnf(refute_0_728,plain,
    ( addition(coantidomain(one),coantidomain(zero)) != one
    | addition(zero,coantidomain(zero)) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(zero,coantidomain(zero))) )],[refute_0_726,refute_0_727]) ).

cnf(refute_0_729,plain,
    addition(zero,coantidomain(zero)) = one,
    inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) )],[refute_0_722,refute_0_728]) ).

cnf(refute_0_730,plain,
    ( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
    | addition(zero,coantidomain(zero)) != one
    | one = addition(coantidomain(zero),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) ),[0],$fot(one)]]) ).

cnf(refute_0_731,plain,
    ( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
    | one = addition(coantidomain(zero),zero) ),
    inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),one) )],[refute_0_729,refute_0_730]) ).

cnf(refute_0_732,plain,
    one = addition(coantidomain(zero),zero),
    inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) )],[refute_0_707,refute_0_731]) ).

cnf(refute_0_733,plain,
    addition(coantidomain(zero),zero) = coantidomain(zero),
    inference(subst,[],[additive_identity:[bind(A,$fot(coantidomain(zero)))]]) ).

cnf(refute_0_734,plain,
    ( addition(coantidomain(zero),zero) != coantidomain(zero)
    | one != addition(coantidomain(zero),zero)
    | one = coantidomain(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(one,addition(coantidomain(zero),zero)) ),[1],$fot(coantidomain(zero))]]) ).

cnf(refute_0_735,plain,
    ( one != addition(coantidomain(zero),zero)
    | one = coantidomain(zero) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),zero),coantidomain(zero)) )],[refute_0_733,refute_0_734]) ).

cnf(refute_0_736,plain,
    one = coantidomain(zero),
    inference(resolve,[$cnf( $equal(one,addition(coantidomain(zero),zero)) )],[refute_0_732,refute_0_735]) ).

cnf(refute_0_737,plain,
    ( one != coantidomain(zero)
    | coantidomain(zero) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(zero)))]]) ).

cnf(refute_0_738,plain,
    coantidomain(zero) = one,
    inference(resolve,[$cnf( $equal(one,coantidomain(zero)) )],[refute_0_736,refute_0_737]) ).

cnf(refute_0_739,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))))]]) ).

cnf(refute_0_740,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))))
    | coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_741,plain,
    ( coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))))) )],[refute_0_739,refute_0_740]) ).

cnf(refute_0_742,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),
    inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_738,refute_0_741]) ).

cnf(refute_0_743,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))))
    | addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))))),bind(Y,$fot(addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_744,plain,
    ( addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))))) )],[refute_0_742,refute_0_743]) ).

cnf(refute_0_745,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) = one,
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),one) )],[refute_0_706,refute_0_744]) ).

cnf(refute_0_746,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != one
    | one = coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) ),[0],$fot(one)]]) ).

cnf(refute_0_747,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) != coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))
    | one = coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),one) )],[refute_0_745,refute_0_746]) ).

cnf(refute_0_748,plain,
    one = coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1)))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))),coantidomain(multiplication(codomain(antidomain(multiplication(X0,X1))),multiplication(X0,domain(X1))))) )],[refute_0_238,refute_0_747]) ).

cnf(refute_0_749,plain,
    one = coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))),
    inference(subst,[],[refute_0_748:[bind(X0,$fot(X_491)),bind(X1,$fot(X_492))]]) ).

cnf(refute_0_750,plain,
    ( one != coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))
    | coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))))]]) ).

cnf(refute_0_751,plain,
    coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))) = one,
    inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))) )],[refute_0_749,refute_0_750]) ).

cnf(refute_0_752,plain,
    ( coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))) != one
    | multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))) != zero
    | multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))),zero) ),[0,1],$fot(one)]]) ).

cnf(refute_0_753,plain,
    ( multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))) != zero
    | multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one) = zero ),
    inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))),one) )],[refute_0_751,refute_0_752]) ).

cnf(refute_0_754,plain,
    multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),coantidomain(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))),zero) )],[refute_0_204,refute_0_753]) ).

cnf(refute_0_755,plain,
    multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one) = multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))))]]) ).

cnf(refute_0_756,plain,
    ( multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one) != multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))
    | multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one) != zero
    | multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one),zero) ),[0],$fot(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))))]]) ).

cnf(refute_0_757,plain,
    ( multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one) != zero
    | multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one),multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492)))) )],[refute_0_755,refute_0_756]) ).

cnf(refute_0_758,plain,
    multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(multiplication(X_491,X_492))),multiplication(X_491,domain(X_492))),one),zero) )],[refute_0_754,refute_0_757]) ).

cnf(refute_0_759,plain,
    multiplication(codomain(antidomain(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0))),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = zero,
    inference(subst,[],[refute_0_758:[bind(X_491,$fot(antidomain(sK1_goals_X1))),bind(X_492,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_760,plain,
    multiplication(antidomain(X_216),addition(X_216,X_217)) = addition(multiplication(antidomain(X_216),X_216),multiplication(antidomain(X_216),X_217)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(antidomain(X_216))),bind(B,$fot(X_216)),bind(C,$fot(X_217))]]) ).

cnf(refute_0_761,plain,
    multiplication(antidomain(X_216),X_216) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(X_216))]]) ).

cnf(refute_0_762,plain,
    ( multiplication(antidomain(X_216),X_216) != zero
    | multiplication(antidomain(X_216),addition(X_216,X_217)) != addition(multiplication(antidomain(X_216),X_216),multiplication(antidomain(X_216),X_217))
    | multiplication(antidomain(X_216),addition(X_216,X_217)) = addition(zero,multiplication(antidomain(X_216),X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_216),addition(X_216,X_217)),addition(multiplication(antidomain(X_216),X_216),multiplication(antidomain(X_216),X_217))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_763,plain,
    ( multiplication(antidomain(X_216),addition(X_216,X_217)) != addition(multiplication(antidomain(X_216),X_216),multiplication(antidomain(X_216),X_217))
    | multiplication(antidomain(X_216),addition(X_216,X_217)) = addition(zero,multiplication(antidomain(X_216),X_217)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_216),X_216),zero) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    multiplication(antidomain(X_216),addition(X_216,X_217)) = addition(zero,multiplication(antidomain(X_216),X_217)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_216),addition(X_216,X_217)),addition(multiplication(antidomain(X_216),X_216),multiplication(antidomain(X_216),X_217))) )],[refute_0_760,refute_0_763]) ).

cnf(refute_0_765,plain,
    addition(zero,multiplication(antidomain(X_216),X_217)) = multiplication(antidomain(X_216),X_217),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(antidomain(X_216),X_217)))]]) ).

cnf(refute_0_766,plain,
    ( addition(zero,multiplication(antidomain(X_216),X_217)) != multiplication(antidomain(X_216),X_217)
    | multiplication(antidomain(X_216),addition(X_216,X_217)) != addition(zero,multiplication(antidomain(X_216),X_217))
    | multiplication(antidomain(X_216),addition(X_216,X_217)) = multiplication(antidomain(X_216),X_217) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_216),addition(X_216,X_217)),addition(zero,multiplication(antidomain(X_216),X_217))) ),[1],$fot(multiplication(antidomain(X_216),X_217))]]) ).

cnf(refute_0_767,plain,
    ( multiplication(antidomain(X_216),addition(X_216,X_217)) != addition(zero,multiplication(antidomain(X_216),X_217))
    | multiplication(antidomain(X_216),addition(X_216,X_217)) = multiplication(antidomain(X_216),X_217) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(antidomain(X_216),X_217)),multiplication(antidomain(X_216),X_217)) )],[refute_0_765,refute_0_766]) ).

cnf(refute_0_768,plain,
    multiplication(antidomain(X_216),addition(X_216,X_217)) = multiplication(antidomain(X_216),X_217),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_216),addition(X_216,X_217)),addition(zero,multiplication(antidomain(X_216),X_217))) )],[refute_0_764,refute_0_767]) ).

cnf(refute_0_769,plain,
    multiplication(antidomain(sK1_goals_X1),addition(sK1_goals_X1,sK2_goals_X0)) = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0),
    inference(subst,[],[refute_0_768:[bind(X_216,$fot(sK1_goals_X1)),bind(X_217,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_770,plain,
    addition(sK2_goals_X0,sK1_goals_X1) = addition(sK1_goals_X1,sK2_goals_X0),
    inference(subst,[],[refute_0_50:[bind(A,$fot(sK1_goals_X1)),bind(B,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_771,plain,
    ( addition(sK2_goals_X0,sK1_goals_X1) != addition(sK1_goals_X1,sK2_goals_X0)
    | addition(sK2_goals_X0,sK1_goals_X1) != sK1_goals_X1
    | addition(sK1_goals_X1,sK2_goals_X0) = sK1_goals_X1 ),
    introduced(tautology,[equality,[$cnf( $equal(addition(sK2_goals_X0,sK1_goals_X1),sK1_goals_X1) ),[0],$fot(addition(sK1_goals_X1,sK2_goals_X0))]]) ).

cnf(refute_0_772,plain,
    ( addition(sK2_goals_X0,sK1_goals_X1) != sK1_goals_X1
    | addition(sK1_goals_X1,sK2_goals_X0) = sK1_goals_X1 ),
    inference(resolve,[$cnf( $equal(addition(sK2_goals_X0,sK1_goals_X1),addition(sK1_goals_X1,sK2_goals_X0)) )],[refute_0_770,refute_0_771]) ).

cnf(refute_0_773,plain,
    addition(sK1_goals_X1,sK2_goals_X0) = sK1_goals_X1,
    inference(resolve,[$cnf( $equal(addition(sK2_goals_X0,sK1_goals_X1),sK1_goals_X1) )],[goals,refute_0_772]) ).

cnf(refute_0_774,plain,
    ( addition(sK1_goals_X1,sK2_goals_X0) != sK1_goals_X1
    | multiplication(antidomain(sK1_goals_X1),addition(sK1_goals_X1,sK2_goals_X0)) != multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)
    | multiplication(antidomain(sK1_goals_X1),sK1_goals_X1) = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),addition(sK1_goals_X1,sK2_goals_X0)),multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)) ),[0,1],$fot(sK1_goals_X1)]]) ).

cnf(refute_0_775,plain,
    ( multiplication(antidomain(sK1_goals_X1),addition(sK1_goals_X1,sK2_goals_X0)) != multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)
    | multiplication(antidomain(sK1_goals_X1),sK1_goals_X1) = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) ),
    inference(resolve,[$cnf( $equal(addition(sK1_goals_X1,sK2_goals_X0),sK1_goals_X1) )],[refute_0_773,refute_0_774]) ).

cnf(refute_0_776,plain,
    multiplication(antidomain(sK1_goals_X1),sK1_goals_X1) = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),addition(sK1_goals_X1,sK2_goals_X0)),multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)) )],[refute_0_769,refute_0_775]) ).

cnf(refute_0_777,plain,
    multiplication(antidomain(sK1_goals_X1),sK1_goals_X1) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_778,plain,
    ( multiplication(antidomain(sK1_goals_X1),sK1_goals_X1) != multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)
    | multiplication(antidomain(sK1_goals_X1),sK1_goals_X1) != zero
    | zero = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),sK1_goals_X1),multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)) ),[0],$fot(zero)]]) ).

cnf(refute_0_779,plain,
    ( multiplication(antidomain(sK1_goals_X1),sK1_goals_X1) != multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)
    | zero = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),sK1_goals_X1),zero) )],[refute_0_777,refute_0_778]) ).

cnf(refute_0_780,plain,
    zero = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),sK1_goals_X1),multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)) )],[refute_0_776,refute_0_779]) ).

cnf(refute_0_781,plain,
    ( zero != multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)
    | multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)))]]) ).

cnf(refute_0_782,plain,
    multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) = zero,
    inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(sK1_goals_X1),sK2_goals_X0)) )],[refute_0_780,refute_0_781]) ).

cnf(refute_0_783,plain,
    ( multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) != zero
    | multiplication(codomain(antidomain(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0))),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != zero
    | multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0))),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),zero) ),[0,0,0,0],$fot(zero)]]) ).

cnf(refute_0_784,plain,
    ( multiplication(codomain(antidomain(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0))),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != zero
    | multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0),zero) )],[refute_0_782,refute_0_783]) ).

cnf(refute_0_785,plain,
    multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0))),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),zero) )],[refute_0_759,refute_0_784]) ).

cnf(refute_0_786,plain,
    multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))))]]) ).

cnf(refute_0_787,plain,
    ( coantidomain(zero) != one
    | codomain(one) != coantidomain(zero)
    | codomain(one) = one ),
    introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(zero)) ),[1],$fot(one)]]) ).

cnf(refute_0_788,plain,
    ( codomain(one) != coantidomain(zero)
    | codomain(one) = one ),
    inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_738,refute_0_787]) ).

cnf(refute_0_789,plain,
    codomain(one) = one,
    inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_719,refute_0_788]) ).

cnf(refute_0_790,plain,
    codomain(antidomain(zero)) = codomain(antidomain(zero)),
    introduced(tautology,[refl,[$fot(codomain(antidomain(zero)))]]) ).

cnf(refute_0_791,plain,
    ( antidomain(zero) != one
    | codomain(antidomain(zero)) != codomain(antidomain(zero))
    | codomain(antidomain(zero)) = codomain(one) ),
    introduced(tautology,[equality,[$cnf( $equal(codomain(antidomain(zero)),codomain(antidomain(zero))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_792,plain,
    ( antidomain(zero) != one
    | codomain(antidomain(zero)) = codomain(one) ),
    inference(resolve,[$cnf( $equal(codomain(antidomain(zero)),codomain(antidomain(zero))) )],[refute_0_790,refute_0_791]) ).

cnf(refute_0_793,plain,
    codomain(antidomain(zero)) = codomain(one),
    inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_130,refute_0_792]) ).

cnf(refute_0_794,plain,
    ( codomain(antidomain(zero)) != codomain(one)
    | codomain(one) != one
    | codomain(antidomain(zero)) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(codomain(antidomain(zero)))),bind(Y,$fot(codomain(one))),bind(Z,$fot(one))]]) ).

cnf(refute_0_795,plain,
    ( codomain(one) != one
    | codomain(antidomain(zero)) = one ),
    inference(resolve,[$cnf( $equal(codomain(antidomain(zero)),codomain(one)) )],[refute_0_793,refute_0_794]) ).

cnf(refute_0_796,plain,
    codomain(antidomain(zero)) = one,
    inference(resolve,[$cnf( $equal(codomain(one),one) )],[refute_0_789,refute_0_795]) ).

cnf(refute_0_797,plain,
    multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),
    introduced(tautology,[refl,[$fot(multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))))]]) ).

cnf(refute_0_798,plain,
    ( codomain(antidomain(zero)) != one
    | multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))
    | multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_799,plain,
    ( codomain(antidomain(zero)) != one
    | multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))) )],[refute_0_797,refute_0_798]) ).

cnf(refute_0_800,plain,
    multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),
    inference(resolve,[$cnf( $equal(codomain(antidomain(zero)),one) )],[refute_0_796,refute_0_799]) ).

cnf(refute_0_801,plain,
    ( multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))
    | multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))
    | multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))))),bind(Y,$fot(multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))))),bind(Z,$fot(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))))]]) ).

cnf(refute_0_802,plain,
    ( multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))
    | multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))) )],[refute_0_800,refute_0_801]) ).

cnf(refute_0_803,plain,
    multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) )],[refute_0_786,refute_0_802]) ).

cnf(refute_0_804,plain,
    ( multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))
    | multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != zero
    | multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),zero) ),[0],$fot(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))]]) ).

cnf(refute_0_805,plain,
    ( multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) != zero
    | multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) )],[refute_0_803,refute_0_804]) ).

cnf(refute_0_806,plain,
    multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(zero)),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),zero) )],[refute_0_785,refute_0_805]) ).

cnf(refute_0_807,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) != addition(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),multiplication(B,domain(sK2_goals_X0)))
    | multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)) != zero
    | multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) = addition(zero,multiplication(B,domain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)),addition(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),multiplication(B,domain(sK2_goals_X0)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_808,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) != addition(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),multiplication(B,domain(sK2_goals_X0)))
    | multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) = addition(zero,multiplication(B,domain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),zero) )],[refute_0_806,refute_0_807]) ).

cnf(refute_0_809,plain,
    multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) = addition(zero,multiplication(B,domain(sK2_goals_X0))),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)),addition(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),multiplication(B,domain(sK2_goals_X0)))) )],[refute_0_203,refute_0_808]) ).

cnf(refute_0_810,plain,
    addition(zero,multiplication(B,domain(sK2_goals_X0))) = multiplication(B,domain(sK2_goals_X0)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(B,domain(sK2_goals_X0))))]]) ).

cnf(refute_0_811,plain,
    ( addition(zero,multiplication(B,domain(sK2_goals_X0))) != multiplication(B,domain(sK2_goals_X0))
    | multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) != addition(zero,multiplication(B,domain(sK2_goals_X0)))
    | multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) = multiplication(B,domain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)),addition(zero,multiplication(B,domain(sK2_goals_X0)))) ),[1],$fot(multiplication(B,domain(sK2_goals_X0)))]]) ).

cnf(refute_0_812,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) != addition(zero,multiplication(B,domain(sK2_goals_X0)))
    | multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) = multiplication(B,domain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(B,domain(sK2_goals_X0))),multiplication(B,domain(sK2_goals_X0))) )],[refute_0_810,refute_0_811]) ).

cnf(refute_0_813,plain,
    multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)) = multiplication(B,domain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),B),domain(sK2_goals_X0)),addition(zero,multiplication(B,domain(sK2_goals_X0)))) )],[refute_0_809,refute_0_812]) ).

cnf(refute_0_814,plain,
    multiplication(addition(antidomain(sK1_goals_X1),domain(sK1_goals_X1)),domain(sK2_goals_X0)) = multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)),
    inference(subst,[],[refute_0_813:[bind(B,$fot(domain(sK1_goals_X1)))]]) ).

cnf(refute_0_815,plain,
    addition(antidomain(sK1_goals_X1),domain(sK1_goals_X1)) = one,
    inference(subst,[],[refute_0_101:[bind(X0,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_816,plain,
    ( addition(antidomain(sK1_goals_X1),domain(sK1_goals_X1)) != one
    | multiplication(addition(antidomain(sK1_goals_X1),domain(sK1_goals_X1)),domain(sK2_goals_X0)) != multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))
    | multiplication(one,domain(sK2_goals_X0)) = multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),domain(sK1_goals_X1)),domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_817,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),domain(sK1_goals_X1)),domain(sK2_goals_X0)) != multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))
    | multiplication(one,domain(sK2_goals_X0)) = multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(sK1_goals_X1),domain(sK1_goals_X1)),one) )],[refute_0_815,refute_0_816]) ).

cnf(refute_0_818,plain,
    multiplication(one,domain(sK2_goals_X0)) = multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),domain(sK1_goals_X1)),domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))) )],[refute_0_814,refute_0_817]) ).

cnf(refute_0_819,plain,
    multiplication(one,domain(sK2_goals_X0)) = domain(sK2_goals_X0),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(domain(sK2_goals_X0)))]]) ).

cnf(refute_0_820,plain,
    ( multiplication(one,domain(sK2_goals_X0)) != domain(sK2_goals_X0)
    | multiplication(one,domain(sK2_goals_X0)) != multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))
    | domain(sK2_goals_X0) = multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))) ),[0],$fot(domain(sK2_goals_X0))]]) ).

cnf(refute_0_821,plain,
    ( multiplication(one,domain(sK2_goals_X0)) != multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))
    | domain(sK2_goals_X0) = multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(one,domain(sK2_goals_X0)),domain(sK2_goals_X0)) )],[refute_0_819,refute_0_820]) ).

cnf(refute_0_822,plain,
    domain(sK2_goals_X0) = multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(one,domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))) )],[refute_0_818,refute_0_821]) ).

cnf(refute_0_823,plain,
    ( domain(sK2_goals_X0) != multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))
    | multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)) = domain(sK2_goals_X0) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(domain(sK2_goals_X0))),bind(Y,$fot(multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))))]]) ).

cnf(refute_0_824,plain,
    multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)) = domain(sK2_goals_X0),
    inference(resolve,[$cnf( $equal(domain(sK2_goals_X0),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))) )],[refute_0_822,refute_0_823]) ).

cnf(refute_0_825,plain,
    ( multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) != addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))))
    | multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)) != domain(sK2_goals_X0)
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) = addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)),addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))))) ),[1,1,1],$fot(domain(sK2_goals_X0))]]) ).

cnf(refute_0_826,plain,
    ( multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) != addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) = addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0)),domain(sK2_goals_X0)) )],[refute_0_824,refute_0_825]) ).

cnf(refute_0_827,plain,
    multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) = addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)),addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),multiplication(domain(sK1_goals_X1),domain(sK2_goals_X0))))) )],[refute_0_202,refute_0_826]) ).

cnf(refute_0_828,plain,
    multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))))]]) ).

cnf(refute_0_829,plain,
    addition(one,domain(sK2_goals_X0)) = one,
    inference(subst,[],[refute_0_407:[bind(X_8,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_830,plain,
    multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))),
    introduced(tautology,[refl,[$fot(multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))))]]) ).

cnf(refute_0_831,plain,
    ( addition(one,domain(sK2_goals_X0)) != one
    | multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) != multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0)))
    | multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))),multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_832,plain,
    ( addition(one,domain(sK2_goals_X0)) != one
    | multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))),multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0)))) )],[refute_0_830,refute_0_831]) ).

cnf(refute_0_833,plain,
    multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one),
    inference(resolve,[$cnf( $equal(addition(one,domain(sK2_goals_X0)),one) )],[refute_0_829,refute_0_832]) ).

cnf(refute_0_834,plain,
    addition(A,addition(X_159,X_160)) = addition(addition(X_159,X_160),A),
    inference(subst,[],[additive_commutativity:[bind(B,$fot(addition(X_159,X_160)))]]) ).

cnf(refute_0_835,plain,
    addition(X_159,addition(X_160,A)) = addition(addition(X_159,X_160),A),
    inference(subst,[],[additive_associativity:[bind(A,$fot(X_159)),bind(B,$fot(X_160)),bind(C,$fot(A))]]) ).

cnf(refute_0_836,plain,
    ( addition(X_159,addition(X_160,A)) != addition(addition(X_159,X_160),A)
    | addition(addition(X_159,X_160),A) = addition(X_159,addition(X_160,A)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_159,addition(X_160,A)))),bind(Y,$fot(addition(addition(X_159,X_160),A)))]]) ).

cnf(refute_0_837,plain,
    addition(addition(X_159,X_160),A) = addition(X_159,addition(X_160,A)),
    inference(resolve,[$cnf( $equal(addition(X_159,addition(X_160,A)),addition(addition(X_159,X_160),A)) )],[refute_0_835,refute_0_836]) ).

cnf(refute_0_838,plain,
    ( addition(A,addition(X_159,X_160)) != addition(addition(X_159,X_160),A)
    | addition(addition(X_159,X_160),A) != addition(X_159,addition(X_160,A))
    | addition(A,addition(X_159,X_160)) = addition(X_159,addition(X_160,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_159,X_160)),addition(X_159,addition(X_160,A))) ),[0],$fot(addition(addition(X_159,X_160),A))]]) ).

cnf(refute_0_839,plain,
    ( addition(A,addition(X_159,X_160)) != addition(addition(X_159,X_160),A)
    | addition(A,addition(X_159,X_160)) = addition(X_159,addition(X_160,A)) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_159,X_160),A),addition(X_159,addition(X_160,A))) )],[refute_0_837,refute_0_838]) ).

cnf(refute_0_840,plain,
    addition(A,addition(X_159,X_160)) = addition(X_159,addition(X_160,A)),
    inference(resolve,[$cnf( $equal(addition(A,addition(X_159,X_160)),addition(addition(X_159,X_160),A)) )],[refute_0_834,refute_0_839]) ).

cnf(refute_0_841,plain,
    addition(A,addition(antidomain(X_841),coantidomain(domain(X_841)))) = addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)),
    inference(subst,[],[refute_0_840:[bind(X_159,$fot(antidomain(X_841))),bind(X_160,$fot(coantidomain(domain(X_841))))]]) ).

cnf(refute_0_842,plain,
    multiplication(X_215,addition(one,X_217)) = addition(multiplication(X_215,one),multiplication(X_215,X_217)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(X_215)),bind(B,$fot(one)),bind(C,$fot(X_217))]]) ).

cnf(refute_0_843,plain,
    ( multiplication(X_215,addition(one,X_217)) != addition(multiplication(X_215,one),multiplication(X_215,X_217))
    | multiplication(X_215,one) != X_215
    | multiplication(X_215,addition(one,X_217)) = addition(X_215,multiplication(X_215,X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(one,X_217)),addition(multiplication(X_215,one),multiplication(X_215,X_217))) ),[1,0],$fot(X_215)]]) ).

cnf(refute_0_844,plain,
    ( multiplication(X_215,addition(one,X_217)) != addition(multiplication(X_215,one),multiplication(X_215,X_217))
    | multiplication(X_215,addition(one,X_217)) = addition(X_215,multiplication(X_215,X_217)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,one),X_215) )],[refute_0_175,refute_0_843]) ).

cnf(refute_0_845,plain,
    multiplication(X_215,addition(one,X_217)) = addition(X_215,multiplication(X_215,X_217)),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,X_217)),addition(multiplication(X_215,one),multiplication(X_215,X_217))) )],[refute_0_842,refute_0_844]) ).

cnf(refute_0_846,plain,
    multiplication(X_229,addition(one,antidomain(X_185))) = addition(X_229,multiplication(X_229,antidomain(X_185))),
    inference(subst,[],[refute_0_845:[bind(X_215,$fot(X_229)),bind(X_217,$fot(antidomain(X_185)))]]) ).

cnf(refute_0_847,plain,
    addition(antidomain(X_99),addition(antidomain(domain(X_99)),X_161)) = addition(addition(antidomain(X_99),antidomain(domain(X_99))),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(antidomain(X_99))),bind(B,$fot(antidomain(domain(X_99)))),bind(C,$fot(X_161))]]) ).

cnf(refute_0_848,plain,
    addition(antidomain(multiplication(one,X_99)),antidomain(multiplication(one,domain(X_99)))) = antidomain(multiplication(one,domain(X_99))),
    inference(subst,[],[refute_0_84:[bind(X0,$fot(one)),bind(X1,$fot(X_99))]]) ).

cnf(refute_0_849,plain,
    multiplication(one,domain(X_99)) = domain(X_99),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(domain(X_99)))]]) ).

cnf(refute_0_850,plain,
    ( addition(antidomain(multiplication(one,X_99)),antidomain(multiplication(one,domain(X_99)))) != antidomain(multiplication(one,domain(X_99)))
    | multiplication(one,domain(X_99)) != domain(X_99)
    | addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) = antidomain(multiplication(one,domain(X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_99)),antidomain(multiplication(one,domain(X_99)))),antidomain(multiplication(one,domain(X_99)))) ),[0,1,0],$fot(domain(X_99))]]) ).

cnf(refute_0_851,plain,
    ( addition(antidomain(multiplication(one,X_99)),antidomain(multiplication(one,domain(X_99)))) != antidomain(multiplication(one,domain(X_99)))
    | addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) = antidomain(multiplication(one,domain(X_99))) ),
    inference(resolve,[$cnf( $equal(multiplication(one,domain(X_99)),domain(X_99)) )],[refute_0_849,refute_0_850]) ).

cnf(refute_0_852,plain,
    addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) = antidomain(multiplication(one,domain(X_99))),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_99)),antidomain(multiplication(one,domain(X_99)))),antidomain(multiplication(one,domain(X_99)))) )],[refute_0_848,refute_0_851]) ).

cnf(refute_0_853,plain,
    addition(antidomain(domain(X_99)),antidomain(X_99)) = addition(antidomain(X_99),antidomain(domain(X_99))),
    inference(subst,[],[refute_0_50:[bind(A,$fot(antidomain(X_99))),bind(B,$fot(antidomain(domain(X_99))))]]) ).

cnf(refute_0_854,plain,
    multiplication(one,X_99) = X_99,
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(X_99))]]) ).

cnf(refute_0_855,plain,
    antidomain(multiplication(one,X_99)) = antidomain(multiplication(one,X_99)),
    introduced(tautology,[refl,[$fot(antidomain(multiplication(one,X_99)))]]) ).

cnf(refute_0_856,plain,
    ( antidomain(multiplication(one,X_99)) != antidomain(multiplication(one,X_99))
    | multiplication(one,X_99) != X_99
    | antidomain(multiplication(one,X_99)) = antidomain(X_99) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,X_99)),antidomain(multiplication(one,X_99))) ),[1,0],$fot(X_99)]]) ).

cnf(refute_0_857,plain,
    ( multiplication(one,X_99) != X_99
    | antidomain(multiplication(one,X_99)) = antidomain(X_99) ),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_99)),antidomain(multiplication(one,X_99))) )],[refute_0_855,refute_0_856]) ).

cnf(refute_0_858,plain,
    antidomain(multiplication(one,X_99)) = antidomain(X_99),
    inference(resolve,[$cnf( $equal(multiplication(one,X_99),X_99) )],[refute_0_854,refute_0_857]) ).

cnf(refute_0_859,plain,
    addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) = addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))),
    introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))))]]) ).

cnf(refute_0_860,plain,
    ( addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) != addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99)))
    | antidomain(multiplication(one,X_99)) != antidomain(X_99)
    | addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) = addition(antidomain(domain(X_99)),antidomain(X_99)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))),addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99)))) ),[1,1],$fot(antidomain(X_99))]]) ).

cnf(refute_0_861,plain,
    ( antidomain(multiplication(one,X_99)) != antidomain(X_99)
    | addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) = addition(antidomain(domain(X_99)),antidomain(X_99)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))),addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99)))) )],[refute_0_859,refute_0_860]) ).

cnf(refute_0_862,plain,
    addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) = addition(antidomain(domain(X_99)),antidomain(X_99)),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_99)),antidomain(X_99)) )],[refute_0_858,refute_0_861]) ).

cnf(refute_0_863,plain,
    ( addition(antidomain(domain(X_99)),antidomain(X_99)) != addition(antidomain(X_99),antidomain(domain(X_99)))
    | addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) != addition(antidomain(domain(X_99)),antidomain(X_99))
    | addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) = addition(antidomain(X_99),antidomain(domain(X_99))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))))),bind(Y,$fot(addition(antidomain(domain(X_99)),antidomain(X_99)))),bind(Z,$fot(addition(antidomain(X_99),antidomain(domain(X_99)))))]]) ).

cnf(refute_0_864,plain,
    ( addition(antidomain(domain(X_99)),antidomain(X_99)) != addition(antidomain(X_99),antidomain(domain(X_99)))
    | addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) = addition(antidomain(X_99),antidomain(domain(X_99))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))),addition(antidomain(domain(X_99)),antidomain(X_99))) )],[refute_0_862,refute_0_863]) ).

cnf(refute_0_865,plain,
    addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) = addition(antidomain(X_99),antidomain(domain(X_99))),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_99)),antidomain(X_99)),addition(antidomain(X_99),antidomain(domain(X_99)))) )],[refute_0_853,refute_0_864]) ).

cnf(refute_0_866,plain,
    addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) = addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))),
    inference(subst,[],[refute_0_50:[bind(A,$fot(antidomain(domain(X_99)))),bind(B,$fot(antidomain(multiplication(one,X_99))))]]) ).

cnf(refute_0_867,plain,
    ( addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) != addition(antidomain(X_99),antidomain(domain(X_99)))
    | addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) != addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99)))
    | addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) = addition(antidomain(X_99),antidomain(domain(X_99))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))))),bind(Y,$fot(addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))))),bind(Z,$fot(addition(antidomain(X_99),antidomain(domain(X_99)))))]]) ).

cnf(refute_0_868,plain,
    ( addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))) != addition(antidomain(X_99),antidomain(domain(X_99)))
    | addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) = addition(antidomain(X_99),antidomain(domain(X_99))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))),addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99)))) )],[refute_0_866,refute_0_867]) ).

cnf(refute_0_869,plain,
    addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) = addition(antidomain(X_99),antidomain(domain(X_99))),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_99)),antidomain(multiplication(one,X_99))),addition(antidomain(X_99),antidomain(domain(X_99)))) )],[refute_0_865,refute_0_868]) ).

cnf(refute_0_870,plain,
    ( addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) != addition(antidomain(X_99),antidomain(domain(X_99)))
    | addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) != antidomain(multiplication(one,domain(X_99)))
    | addition(antidomain(X_99),antidomain(domain(X_99))) = antidomain(multiplication(one,domain(X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))),antidomain(multiplication(one,domain(X_99)))) ),[0],$fot(addition(antidomain(X_99),antidomain(domain(X_99))))]]) ).

cnf(refute_0_871,plain,
    ( addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) != antidomain(multiplication(one,domain(X_99)))
    | addition(antidomain(X_99),antidomain(domain(X_99))) = antidomain(multiplication(one,domain(X_99))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))),addition(antidomain(X_99),antidomain(domain(X_99)))) )],[refute_0_869,refute_0_870]) ).

cnf(refute_0_872,plain,
    antidomain(multiplication(one,domain(X_99))) = antidomain(multiplication(one,domain(X_99))),
    introduced(tautology,[refl,[$fot(antidomain(multiplication(one,domain(X_99))))]]) ).

cnf(refute_0_873,plain,
    ( antidomain(multiplication(one,domain(X_99))) != antidomain(multiplication(one,domain(X_99)))
    | multiplication(one,domain(X_99)) != domain(X_99)
    | antidomain(multiplication(one,domain(X_99))) = antidomain(domain(X_99)) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,domain(X_99))),antidomain(multiplication(one,domain(X_99)))) ),[1,0],$fot(domain(X_99))]]) ).

cnf(refute_0_874,plain,
    ( multiplication(one,domain(X_99)) != domain(X_99)
    | antidomain(multiplication(one,domain(X_99))) = antidomain(domain(X_99)) ),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_99))),antidomain(multiplication(one,domain(X_99)))) )],[refute_0_872,refute_0_873]) ).

cnf(refute_0_875,plain,
    antidomain(multiplication(one,domain(X_99))) = antidomain(domain(X_99)),
    inference(resolve,[$cnf( $equal(multiplication(one,domain(X_99)),domain(X_99)) )],[refute_0_849,refute_0_874]) ).

cnf(refute_0_876,plain,
    ( addition(antidomain(X_99),antidomain(domain(X_99))) != antidomain(multiplication(one,domain(X_99)))
    | antidomain(multiplication(one,domain(X_99))) != antidomain(domain(X_99))
    | addition(antidomain(X_99),antidomain(domain(X_99))) = antidomain(domain(X_99)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_99),antidomain(domain(X_99))),antidomain(domain(X_99))) ),[0],$fot(antidomain(multiplication(one,domain(X_99))))]]) ).

cnf(refute_0_877,plain,
    ( addition(antidomain(X_99),antidomain(domain(X_99))) != antidomain(multiplication(one,domain(X_99)))
    | addition(antidomain(X_99),antidomain(domain(X_99))) = antidomain(domain(X_99)) ),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_99))),antidomain(domain(X_99))) )],[refute_0_875,refute_0_876]) ).

cnf(refute_0_878,plain,
    ( addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))) != antidomain(multiplication(one,domain(X_99)))
    | addition(antidomain(X_99),antidomain(domain(X_99))) = antidomain(domain(X_99)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_99),antidomain(domain(X_99))),antidomain(multiplication(one,domain(X_99)))) )],[refute_0_871,refute_0_877]) ).

cnf(refute_0_879,plain,
    addition(antidomain(X_99),antidomain(domain(X_99))) = antidomain(domain(X_99)),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_99)),antidomain(domain(X_99))),antidomain(multiplication(one,domain(X_99)))) )],[refute_0_852,refute_0_878]) ).

cnf(refute_0_880,plain,
    ( addition(antidomain(X_99),addition(antidomain(domain(X_99)),X_161)) != addition(addition(antidomain(X_99),antidomain(domain(X_99))),X_161)
    | addition(antidomain(X_99),antidomain(domain(X_99))) != antidomain(domain(X_99))
    | addition(antidomain(X_99),addition(antidomain(domain(X_99)),X_161)) = addition(antidomain(domain(X_99)),X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_99),addition(antidomain(domain(X_99)),X_161)),addition(addition(antidomain(X_99),antidomain(domain(X_99))),X_161)) ),[1,0],$fot(antidomain(domain(X_99)))]]) ).

cnf(refute_0_881,plain,
    ( addition(antidomain(X_99),addition(antidomain(domain(X_99)),X_161)) != addition(addition(antidomain(X_99),antidomain(domain(X_99))),X_161)
    | addition(antidomain(X_99),addition(antidomain(domain(X_99)),X_161)) = addition(antidomain(domain(X_99)),X_161) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_99),antidomain(domain(X_99))),antidomain(domain(X_99))) )],[refute_0_879,refute_0_880]) ).

cnf(refute_0_882,plain,
    addition(antidomain(X_99),addition(antidomain(domain(X_99)),X_161)) = addition(antidomain(domain(X_99)),X_161),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_99),addition(antidomain(domain(X_99)),X_161)),addition(addition(antidomain(X_99),antidomain(domain(X_99))),X_161)) )],[refute_0_847,refute_0_881]) ).

cnf(refute_0_883,plain,
    addition(antidomain(X_185),addition(antidomain(domain(X_185)),domain(domain(X_185)))) = addition(antidomain(domain(X_185)),domain(domain(X_185))),
    inference(subst,[],[refute_0_882:[bind(X_161,$fot(domain(domain(X_185)))),bind(X_99,$fot(X_185))]]) ).

cnf(refute_0_884,plain,
    addition(antidomain(domain(X_185)),domain(domain(X_185))) = one,
    inference(subst,[],[refute_0_101:[bind(X0,$fot(domain(X_185)))]]) ).

cnf(refute_0_885,plain,
    ( addition(antidomain(X_185),addition(antidomain(domain(X_185)),domain(domain(X_185)))) != addition(antidomain(domain(X_185)),domain(domain(X_185)))
    | addition(antidomain(domain(X_185)),domain(domain(X_185))) != one
    | addition(antidomain(X_185),one) = addition(antidomain(domain(X_185)),domain(domain(X_185))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_185),addition(antidomain(domain(X_185)),domain(domain(X_185)))),addition(antidomain(domain(X_185)),domain(domain(X_185)))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_886,plain,
    ( addition(antidomain(X_185),addition(antidomain(domain(X_185)),domain(domain(X_185)))) != addition(antidomain(domain(X_185)),domain(domain(X_185)))
    | addition(antidomain(X_185),one) = addition(antidomain(domain(X_185)),domain(domain(X_185))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_185)),domain(domain(X_185))),one) )],[refute_0_884,refute_0_885]) ).

cnf(refute_0_887,plain,
    addition(antidomain(X_185),one) = addition(antidomain(domain(X_185)),domain(domain(X_185))),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_185),addition(antidomain(domain(X_185)),domain(domain(X_185)))),addition(antidomain(domain(X_185)),domain(domain(X_185)))) )],[refute_0_883,refute_0_886]) ).

cnf(refute_0_888,plain,
    addition(antidomain(X_185),one) = addition(one,antidomain(X_185)),
    inference(subst,[],[refute_0_50:[bind(A,$fot(one)),bind(B,$fot(antidomain(X_185)))]]) ).

cnf(refute_0_889,plain,
    ( addition(antidomain(X_185),one) != addition(antidomain(domain(X_185)),domain(domain(X_185)))
    | addition(antidomain(X_185),one) != addition(one,antidomain(X_185))
    | addition(one,antidomain(X_185)) = addition(antidomain(domain(X_185)),domain(domain(X_185))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_185),one),addition(antidomain(domain(X_185)),domain(domain(X_185)))) ),[0],$fot(addition(one,antidomain(X_185)))]]) ).

cnf(refute_0_890,plain,
    ( addition(antidomain(X_185),one) != addition(antidomain(domain(X_185)),domain(domain(X_185)))
    | addition(one,antidomain(X_185)) = addition(antidomain(domain(X_185)),domain(domain(X_185))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_185),one),addition(one,antidomain(X_185))) )],[refute_0_888,refute_0_889]) ).

cnf(refute_0_891,plain,
    ( addition(antidomain(domain(X_185)),domain(domain(X_185))) != one
    | addition(one,antidomain(X_185)) != addition(antidomain(domain(X_185)),domain(domain(X_185)))
    | addition(one,antidomain(X_185)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(X_185)),addition(antidomain(domain(X_185)),domain(domain(X_185)))) ),[1],$fot(one)]]) ).

cnf(refute_0_892,plain,
    ( addition(one,antidomain(X_185)) != addition(antidomain(domain(X_185)),domain(domain(X_185)))
    | addition(one,antidomain(X_185)) = one ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_185)),domain(domain(X_185))),one) )],[refute_0_884,refute_0_891]) ).

cnf(refute_0_893,plain,
    ( addition(antidomain(X_185),one) != addition(antidomain(domain(X_185)),domain(domain(X_185)))
    | addition(one,antidomain(X_185)) = one ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(X_185)),addition(antidomain(domain(X_185)),domain(domain(X_185)))) )],[refute_0_890,refute_0_892]) ).

cnf(refute_0_894,plain,
    addition(one,antidomain(X_185)) = one,
    inference(resolve,[$cnf( $equal(addition(antidomain(X_185),one),addition(antidomain(domain(X_185)),domain(domain(X_185)))) )],[refute_0_887,refute_0_893]) ).

cnf(refute_0_895,plain,
    ( addition(one,antidomain(X_185)) != one
    | multiplication(X_229,addition(one,antidomain(X_185))) != addition(X_229,multiplication(X_229,antidomain(X_185)))
    | multiplication(X_229,one) = addition(X_229,multiplication(X_229,antidomain(X_185))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_229,addition(one,antidomain(X_185))),addition(X_229,multiplication(X_229,antidomain(X_185)))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_896,plain,
    ( multiplication(X_229,addition(one,antidomain(X_185))) != addition(X_229,multiplication(X_229,antidomain(X_185)))
    | multiplication(X_229,one) = addition(X_229,multiplication(X_229,antidomain(X_185))) ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(X_185)),one) )],[refute_0_894,refute_0_895]) ).

cnf(refute_0_897,plain,
    multiplication(X_229,one) = addition(X_229,multiplication(X_229,antidomain(X_185))),
    inference(resolve,[$cnf( $equal(multiplication(X_229,addition(one,antidomain(X_185))),addition(X_229,multiplication(X_229,antidomain(X_185)))) )],[refute_0_846,refute_0_896]) ).

cnf(refute_0_898,plain,
    multiplication(X_229,one) = X_229,
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_229))]]) ).

cnf(refute_0_899,plain,
    ( multiplication(X_229,one) != X_229
    | multiplication(X_229,one) != addition(X_229,multiplication(X_229,antidomain(X_185)))
    | X_229 = addition(X_229,multiplication(X_229,antidomain(X_185))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_229,one),addition(X_229,multiplication(X_229,antidomain(X_185)))) ),[0],$fot(X_229)]]) ).

cnf(refute_0_900,plain,
    ( multiplication(X_229,one) != addition(X_229,multiplication(X_229,antidomain(X_185)))
    | X_229 = addition(X_229,multiplication(X_229,antidomain(X_185))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_229,one),X_229) )],[refute_0_898,refute_0_899]) ).

cnf(refute_0_901,plain,
    X_229 = addition(X_229,multiplication(X_229,antidomain(X_185))),
    inference(resolve,[$cnf( $equal(multiplication(X_229,one),addition(X_229,multiplication(X_229,antidomain(X_185)))) )],[refute_0_897,refute_0_900]) ).

cnf(refute_0_902,plain,
    coantidomain(antidomain(antidomain(X_185))) = addition(coantidomain(antidomain(antidomain(X_185))),multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))),
    inference(subst,[],[refute_0_901:[bind(X_229,$fot(coantidomain(antidomain(antidomain(X_185)))))]]) ).

cnf(refute_0_903,plain,
    multiplication(addition(A,codomain(antidomain(C))),C) = addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C)),
    inference(subst,[],[left_distributivity:[bind(B,$fot(codomain(antidomain(C))))]]) ).

cnf(refute_0_904,plain,
    multiplication(multiplication(codomain(antidomain(X_429)),X_429),coantidomain(multiplication(codomain(antidomain(X_429)),X_429))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(multiplication(codomain(antidomain(X_429)),X_429)))]]) ).

cnf(refute_0_905,plain,
    addition(coantidomain(multiplication(antidomain(X_428),X_428)),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = coantidomain(multiplication(codomain(antidomain(X_428)),X_428)),
    inference(subst,[],[refute_0_224:[bind(X0,$fot(antidomain(X_428))),bind(X1,$fot(X_428))]]) ).

cnf(refute_0_906,plain,
    multiplication(antidomain(X_428),X_428) = zero,
    inference(subst,[],[domain1:[bind(X0,$fot(X_428))]]) ).

cnf(refute_0_907,plain,
    ( addition(coantidomain(multiplication(antidomain(X_428),X_428)),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != coantidomain(multiplication(codomain(antidomain(X_428)),X_428))
    | multiplication(antidomain(X_428),X_428) != zero
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = coantidomain(multiplication(codomain(antidomain(X_428)),X_428)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(X_428),X_428)),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_908,plain,
    ( addition(coantidomain(multiplication(antidomain(X_428),X_428)),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != coantidomain(multiplication(codomain(antidomain(X_428)),X_428))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = coantidomain(multiplication(codomain(antidomain(X_428)),X_428)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_428),X_428),zero) )],[refute_0_906,refute_0_907]) ).

cnf(refute_0_909,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = coantidomain(multiplication(codomain(antidomain(X_428)),X_428)),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(X_428),X_428)),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) )],[refute_0_905,refute_0_908]) ).

cnf(refute_0_910,plain,
    addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = one,
    inference(subst,[],[refute_0_705:[bind(X_164,$fot(multiplication(codomain(antidomain(X_428)),X_428)))]]) ).

cnf(refute_0_911,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))))]]) ).

cnf(refute_0_912,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428)))
    | coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428)))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_913,plain,
    ( coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428)))) )],[refute_0_911,refute_0_912]) ).

cnf(refute_0_914,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),
    inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_738,refute_0_913]) ).

cnf(refute_0_915,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428)))
    | addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))))),bind(Y,$fot(addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_916,plain,
    ( addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428)))) )],[refute_0_914,refute_0_915]) ).

cnf(refute_0_917,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) = one,
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),one) )],[refute_0_910,refute_0_916]) ).

cnf(refute_0_918,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != coantidomain(multiplication(codomain(antidomain(X_428)),X_428))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != one
    | one = coantidomain(multiplication(codomain(antidomain(X_428)),X_428)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) ),[0],$fot(one)]]) ).

cnf(refute_0_919,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) != coantidomain(multiplication(codomain(antidomain(X_428)),X_428))
    | one = coantidomain(multiplication(codomain(antidomain(X_428)),X_428)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),one) )],[refute_0_917,refute_0_918]) ).

cnf(refute_0_920,plain,
    one = coantidomain(multiplication(codomain(antidomain(X_428)),X_428)),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))),coantidomain(multiplication(codomain(antidomain(X_428)),X_428))) )],[refute_0_909,refute_0_919]) ).

cnf(refute_0_921,plain,
    one = coantidomain(multiplication(codomain(antidomain(X_429)),X_429)),
    inference(subst,[],[refute_0_920:[bind(X_428,$fot(X_429))]]) ).

cnf(refute_0_922,plain,
    ( one != coantidomain(multiplication(codomain(antidomain(X_429)),X_429))
    | coantidomain(multiplication(codomain(antidomain(X_429)),X_429)) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(antidomain(X_429)),X_429))))]]) ).

cnf(refute_0_923,plain,
    coantidomain(multiplication(codomain(antidomain(X_429)),X_429)) = one,
    inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(antidomain(X_429)),X_429))) )],[refute_0_921,refute_0_922]) ).

cnf(refute_0_924,plain,
    ( coantidomain(multiplication(codomain(antidomain(X_429)),X_429)) != one
    | multiplication(multiplication(codomain(antidomain(X_429)),X_429),coantidomain(multiplication(codomain(antidomain(X_429)),X_429))) != zero
    | multiplication(multiplication(codomain(antidomain(X_429)),X_429),one) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_429)),X_429),coantidomain(multiplication(codomain(antidomain(X_429)),X_429))),zero) ),[0,1],$fot(one)]]) ).

cnf(refute_0_925,plain,
    ( multiplication(multiplication(codomain(antidomain(X_429)),X_429),coantidomain(multiplication(codomain(antidomain(X_429)),X_429))) != zero
    | multiplication(multiplication(codomain(antidomain(X_429)),X_429),one) = zero ),
    inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(antidomain(X_429)),X_429)),one) )],[refute_0_923,refute_0_924]) ).

cnf(refute_0_926,plain,
    multiplication(multiplication(codomain(antidomain(X_429)),X_429),one) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_429)),X_429),coantidomain(multiplication(codomain(antidomain(X_429)),X_429))),zero) )],[refute_0_904,refute_0_925]) ).

cnf(refute_0_927,plain,
    multiplication(multiplication(codomain(antidomain(X_429)),X_429),one) = multiplication(codomain(antidomain(X_429)),X_429),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(multiplication(codomain(antidomain(X_429)),X_429)))]]) ).

cnf(refute_0_928,plain,
    ( multiplication(multiplication(codomain(antidomain(X_429)),X_429),one) != multiplication(codomain(antidomain(X_429)),X_429)
    | multiplication(multiplication(codomain(antidomain(X_429)),X_429),one) != zero
    | multiplication(codomain(antidomain(X_429)),X_429) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_429)),X_429),one),zero) ),[0],$fot(multiplication(codomain(antidomain(X_429)),X_429))]]) ).

cnf(refute_0_929,plain,
    ( multiplication(multiplication(codomain(antidomain(X_429)),X_429),one) != zero
    | multiplication(codomain(antidomain(X_429)),X_429) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_429)),X_429),one),multiplication(codomain(antidomain(X_429)),X_429)) )],[refute_0_927,refute_0_928]) ).

cnf(refute_0_930,plain,
    multiplication(codomain(antidomain(X_429)),X_429) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_429)),X_429),one),zero) )],[refute_0_926,refute_0_929]) ).

cnf(refute_0_931,plain,
    multiplication(codomain(antidomain(C)),C) = zero,
    inference(subst,[],[refute_0_930:[bind(X_429,$fot(C))]]) ).

cnf(refute_0_932,plain,
    ( multiplication(addition(A,codomain(antidomain(C))),C) != addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C))
    | multiplication(codomain(antidomain(C)),C) != zero
    | multiplication(addition(A,codomain(antidomain(C))),C) = addition(multiplication(A,C),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,codomain(antidomain(C))),C),addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_933,plain,
    ( multiplication(addition(A,codomain(antidomain(C))),C) != addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C))
    | multiplication(addition(A,codomain(antidomain(C))),C) = addition(multiplication(A,C),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(C)),C),zero) )],[refute_0_931,refute_0_932]) ).

cnf(refute_0_934,plain,
    multiplication(addition(A,codomain(antidomain(C))),C) = addition(multiplication(A,C),zero),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,codomain(antidomain(C))),C),addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C))) )],[refute_0_903,refute_0_933]) ).

cnf(refute_0_935,plain,
    addition(multiplication(A,C),zero) = multiplication(A,C),
    inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(A,C)))]]) ).

cnf(refute_0_936,plain,
    ( addition(multiplication(A,C),zero) != multiplication(A,C)
    | multiplication(addition(A,codomain(antidomain(C))),C) != addition(multiplication(A,C),zero)
    | multiplication(addition(A,codomain(antidomain(C))),C) = multiplication(A,C) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,codomain(antidomain(C))),C),addition(multiplication(A,C),zero)) ),[1],$fot(multiplication(A,C))]]) ).

cnf(refute_0_937,plain,
    ( multiplication(addition(A,codomain(antidomain(C))),C) != addition(multiplication(A,C),zero)
    | multiplication(addition(A,codomain(antidomain(C))),C) = multiplication(A,C) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(A,C),zero),multiplication(A,C)) )],[refute_0_935,refute_0_936]) ).

cnf(refute_0_938,plain,
    multiplication(addition(A,codomain(antidomain(C))),C) = multiplication(A,C),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,codomain(antidomain(C))),C),addition(multiplication(A,C),zero)) )],[refute_0_934,refute_0_937]) ).

cnf(refute_0_939,plain,
    multiplication(addition(coantidomain(antidomain(X_739)),codomain(antidomain(X_739))),X_739) = multiplication(coantidomain(antidomain(X_739)),X_739),
    inference(subst,[],[refute_0_938:[bind(A,$fot(coantidomain(antidomain(X_739)))),bind(C,$fot(X_739))]]) ).

cnf(refute_0_940,plain,
    addition(coantidomain(antidomain(X_739)),codomain(antidomain(X_739))) = one,
    inference(subst,[],[refute_0_250:[bind(X0,$fot(antidomain(X_739)))]]) ).

cnf(refute_0_941,plain,
    ( addition(coantidomain(antidomain(X_739)),codomain(antidomain(X_739))) != one
    | multiplication(addition(coantidomain(antidomain(X_739)),codomain(antidomain(X_739))),X_739) != multiplication(coantidomain(antidomain(X_739)),X_739)
    | multiplication(one,X_739) = multiplication(coantidomain(antidomain(X_739)),X_739) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(antidomain(X_739)),codomain(antidomain(X_739))),X_739),multiplication(coantidomain(antidomain(X_739)),X_739)) ),[0,0],$fot(one)]]) ).

cnf(refute_0_942,plain,
    ( multiplication(addition(coantidomain(antidomain(X_739)),codomain(antidomain(X_739))),X_739) != multiplication(coantidomain(antidomain(X_739)),X_739)
    | multiplication(one,X_739) = multiplication(coantidomain(antidomain(X_739)),X_739) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(antidomain(X_739)),codomain(antidomain(X_739))),one) )],[refute_0_940,refute_0_941]) ).

cnf(refute_0_943,plain,
    multiplication(one,X_739) = multiplication(coantidomain(antidomain(X_739)),X_739),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(antidomain(X_739)),codomain(antidomain(X_739))),X_739),multiplication(coantidomain(antidomain(X_739)),X_739)) )],[refute_0_939,refute_0_942]) ).

cnf(refute_0_944,plain,
    multiplication(one,X_739) = X_739,
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(X_739))]]) ).

cnf(refute_0_945,plain,
    ( multiplication(one,X_739) != X_739
    | multiplication(one,X_739) != multiplication(coantidomain(antidomain(X_739)),X_739)
    | X_739 = multiplication(coantidomain(antidomain(X_739)),X_739) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_739),multiplication(coantidomain(antidomain(X_739)),X_739)) ),[0],$fot(X_739)]]) ).

cnf(refute_0_946,plain,
    ( multiplication(one,X_739) != multiplication(coantidomain(antidomain(X_739)),X_739)
    | X_739 = multiplication(coantidomain(antidomain(X_739)),X_739) ),
    inference(resolve,[$cnf( $equal(multiplication(one,X_739),X_739) )],[refute_0_944,refute_0_945]) ).

cnf(refute_0_947,plain,
    X_739 = multiplication(coantidomain(antidomain(X_739)),X_739),
    inference(resolve,[$cnf( $equal(multiplication(one,X_739),multiplication(coantidomain(antidomain(X_739)),X_739)) )],[refute_0_943,refute_0_946]) ).

cnf(refute_0_948,plain,
    antidomain(X_185) = multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)),
    inference(subst,[],[refute_0_947:[bind(X_739,$fot(antidomain(X_185)))]]) ).

cnf(refute_0_949,plain,
    ( antidomain(X_185) != multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))
    | multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) = antidomain(X_185) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(antidomain(X_185))),bind(Y,$fot(multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))))]]) ).

cnf(refute_0_950,plain,
    multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) = antidomain(X_185),
    inference(resolve,[$cnf( $equal(antidomain(X_185),multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))) )],[refute_0_948,refute_0_949]) ).

cnf(refute_0_951,plain,
    ( coantidomain(antidomain(antidomain(X_185))) != addition(coantidomain(antidomain(antidomain(X_185))),multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)))
    | multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) != antidomain(X_185)
    | coantidomain(antidomain(antidomain(X_185))) = addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) ),
    introduced(tautology,[equality,[$cnf( $equal(coantidomain(antidomain(antidomain(X_185))),addition(coantidomain(antidomain(antidomain(X_185))),multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)))) ),[1,1],$fot(antidomain(X_185))]]) ).

cnf(refute_0_952,plain,
    ( coantidomain(antidomain(antidomain(X_185))) != addition(coantidomain(antidomain(antidomain(X_185))),multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)))
    | coantidomain(antidomain(antidomain(X_185))) = addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)),antidomain(X_185)) )],[refute_0_950,refute_0_951]) ).

cnf(refute_0_953,plain,
    coantidomain(antidomain(antidomain(X_185))) = addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)),
    inference(resolve,[$cnf( $equal(coantidomain(antidomain(antidomain(X_185))),addition(coantidomain(antidomain(antidomain(X_185))),multiplication(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)))) )],[refute_0_902,refute_0_952]) ).

cnf(refute_0_954,plain,
    antidomain(antidomain(X_185)) = domain(X_185),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_185))]]) ).

cnf(refute_0_955,plain,
    coantidomain(antidomain(antidomain(X_185))) = coantidomain(antidomain(antidomain(X_185))),
    introduced(tautology,[refl,[$fot(coantidomain(antidomain(antidomain(X_185))))]]) ).

cnf(refute_0_956,plain,
    ( antidomain(antidomain(X_185)) != domain(X_185)
    | coantidomain(antidomain(antidomain(X_185))) != coantidomain(antidomain(antidomain(X_185)))
    | coantidomain(antidomain(antidomain(X_185))) = coantidomain(domain(X_185)) ),
    introduced(tautology,[equality,[$cnf( $equal(coantidomain(antidomain(antidomain(X_185))),coantidomain(antidomain(antidomain(X_185)))) ),[1,0],$fot(domain(X_185))]]) ).

cnf(refute_0_957,plain,
    ( antidomain(antidomain(X_185)) != domain(X_185)
    | coantidomain(antidomain(antidomain(X_185))) = coantidomain(domain(X_185)) ),
    inference(resolve,[$cnf( $equal(coantidomain(antidomain(antidomain(X_185))),coantidomain(antidomain(antidomain(X_185)))) )],[refute_0_955,refute_0_956]) ).

cnf(refute_0_958,plain,
    coantidomain(antidomain(antidomain(X_185))) = coantidomain(domain(X_185)),
    inference(resolve,[$cnf( $equal(antidomain(antidomain(X_185)),domain(X_185)) )],[refute_0_954,refute_0_957]) ).

cnf(refute_0_959,plain,
    ( coantidomain(antidomain(antidomain(X_185))) != addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))
    | coantidomain(antidomain(antidomain(X_185))) != coantidomain(domain(X_185))
    | coantidomain(domain(X_185)) = addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) ),
    introduced(tautology,[equality,[$cnf( $equal(coantidomain(antidomain(antidomain(X_185))),addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))) ),[0],$fot(coantidomain(domain(X_185)))]]) ).

cnf(refute_0_960,plain,
    ( coantidomain(antidomain(antidomain(X_185))) != addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))
    | coantidomain(domain(X_185)) = addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) ),
    inference(resolve,[$cnf( $equal(coantidomain(antidomain(antidomain(X_185))),coantidomain(domain(X_185))) )],[refute_0_958,refute_0_959]) ).

cnf(refute_0_961,plain,
    addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))) = addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))),
    introduced(tautology,[refl,[$fot(addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))))]]) ).

cnf(refute_0_962,plain,
    ( addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))) != addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185))))
    | coantidomain(antidomain(antidomain(X_185))) != coantidomain(domain(X_185))
    | addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))) = addition(antidomain(X_185),coantidomain(domain(X_185))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))),addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185))))) ),[1,1],$fot(coantidomain(domain(X_185)))]]) ).

cnf(refute_0_963,plain,
    ( coantidomain(antidomain(antidomain(X_185))) != coantidomain(domain(X_185))
    | addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))) = addition(antidomain(X_185),coantidomain(domain(X_185))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))),addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185))))) )],[refute_0_961,refute_0_962]) ).

cnf(refute_0_964,plain,
    addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))) = addition(antidomain(X_185),coantidomain(domain(X_185))),
    inference(resolve,[$cnf( $equal(coantidomain(antidomain(antidomain(X_185))),coantidomain(domain(X_185))) )],[refute_0_958,refute_0_963]) ).

cnf(refute_0_965,plain,
    addition(X_532,X_531) = addition(X_531,X_532),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(X_532)),bind(B,$fot(X_531))]]) ).

cnf(refute_0_966,plain,
    addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) = addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))),
    inference(subst,[],[refute_0_965:[bind(X_531,$fot(antidomain(X_185))),bind(X_532,$fot(coantidomain(antidomain(antidomain(X_185)))))]]) ).

cnf(refute_0_967,plain,
    ( addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))) != addition(antidomain(X_185),coantidomain(domain(X_185)))
    | addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) != addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185))))
    | addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) = addition(antidomain(X_185),coantidomain(domain(X_185))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)))),bind(Y,$fot(addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))))),bind(Z,$fot(addition(antidomain(X_185),coantidomain(domain(X_185)))))]]) ).

cnf(refute_0_968,plain,
    ( addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))) != addition(antidomain(X_185),coantidomain(domain(X_185)))
    | addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) = addition(antidomain(X_185),coantidomain(domain(X_185))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)),addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185))))) )],[refute_0_966,refute_0_967]) ).

cnf(refute_0_969,plain,
    addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) = addition(antidomain(X_185),coantidomain(domain(X_185))),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_185),coantidomain(antidomain(antidomain(X_185)))),addition(antidomain(X_185),coantidomain(domain(X_185)))) )],[refute_0_964,refute_0_968]) ).

cnf(refute_0_970,plain,
    ( addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)) != addition(antidomain(X_185),coantidomain(domain(X_185)))
    | coantidomain(domain(X_185)) != addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))
    | coantidomain(domain(X_185)) = addition(antidomain(X_185),coantidomain(domain(X_185))) ),
    introduced(tautology,[equality,[$cnf( $equal(coantidomain(domain(X_185)),addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))) ),[1],$fot(addition(antidomain(X_185),coantidomain(domain(X_185))))]]) ).

cnf(refute_0_971,plain,
    ( coantidomain(domain(X_185)) != addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))
    | coantidomain(domain(X_185)) = addition(antidomain(X_185),coantidomain(domain(X_185))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185)),addition(antidomain(X_185),coantidomain(domain(X_185)))) )],[refute_0_969,refute_0_970]) ).

cnf(refute_0_972,plain,
    ( coantidomain(antidomain(antidomain(X_185))) != addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))
    | coantidomain(domain(X_185)) = addition(antidomain(X_185),coantidomain(domain(X_185))) ),
    inference(resolve,[$cnf( $equal(coantidomain(domain(X_185)),addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))) )],[refute_0_960,refute_0_971]) ).

cnf(refute_0_973,plain,
    coantidomain(domain(X_185)) = addition(antidomain(X_185),coantidomain(domain(X_185))),
    inference(resolve,[$cnf( $equal(coantidomain(antidomain(antidomain(X_185))),addition(coantidomain(antidomain(antidomain(X_185))),antidomain(X_185))) )],[refute_0_953,refute_0_972]) ).

cnf(refute_0_974,plain,
    coantidomain(domain(X_841)) = addition(antidomain(X_841),coantidomain(domain(X_841))),
    inference(subst,[],[refute_0_973:[bind(X_185,$fot(X_841))]]) ).

cnf(refute_0_975,plain,
    ( coantidomain(domain(X_841)) != addition(antidomain(X_841),coantidomain(domain(X_841)))
    | addition(antidomain(X_841),coantidomain(domain(X_841))) = coantidomain(domain(X_841)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(coantidomain(domain(X_841)))),bind(Y,$fot(addition(antidomain(X_841),coantidomain(domain(X_841)))))]]) ).

cnf(refute_0_976,plain,
    addition(antidomain(X_841),coantidomain(domain(X_841))) = coantidomain(domain(X_841)),
    inference(resolve,[$cnf( $equal(coantidomain(domain(X_841)),addition(antidomain(X_841),coantidomain(domain(X_841)))) )],[refute_0_974,refute_0_975]) ).

cnf(refute_0_977,plain,
    ( addition(A,addition(antidomain(X_841),coantidomain(domain(X_841)))) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(antidomain(X_841),coantidomain(domain(X_841))) != coantidomain(domain(X_841))
    | addition(A,coantidomain(domain(X_841))) = addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(antidomain(X_841),coantidomain(domain(X_841)))),addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))) ),[0,1],$fot(coantidomain(domain(X_841)))]]) ).

cnf(refute_0_978,plain,
    ( addition(A,addition(antidomain(X_841),coantidomain(domain(X_841)))) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(A,coantidomain(domain(X_841))) = addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_841),coantidomain(domain(X_841))),coantidomain(domain(X_841))) )],[refute_0_976,refute_0_977]) ).

cnf(refute_0_979,plain,
    addition(A,coantidomain(domain(X_841))) = addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)),
    inference(resolve,[$cnf( $equal(addition(A,addition(antidomain(X_841),coantidomain(domain(X_841)))),addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))) )],[refute_0_841,refute_0_978]) ).

cnf(refute_0_980,plain,
    multiplication(X_215,addition(coantidomain(X_215),X_217)) = addition(multiplication(X_215,coantidomain(X_215)),multiplication(X_215,X_217)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(X_215)),bind(B,$fot(coantidomain(X_215))),bind(C,$fot(X_217))]]) ).

cnf(refute_0_981,plain,
    multiplication(X_215,coantidomain(X_215)) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(X_215))]]) ).

cnf(refute_0_982,plain,
    ( multiplication(X_215,addition(coantidomain(X_215),X_217)) != addition(multiplication(X_215,coantidomain(X_215)),multiplication(X_215,X_217))
    | multiplication(X_215,coantidomain(X_215)) != zero
    | multiplication(X_215,addition(coantidomain(X_215),X_217)) = addition(zero,multiplication(X_215,X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(coantidomain(X_215),X_217)),addition(multiplication(X_215,coantidomain(X_215)),multiplication(X_215,X_217))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_983,plain,
    ( multiplication(X_215,addition(coantidomain(X_215),X_217)) != addition(multiplication(X_215,coantidomain(X_215)),multiplication(X_215,X_217))
    | multiplication(X_215,addition(coantidomain(X_215),X_217)) = addition(zero,multiplication(X_215,X_217)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,coantidomain(X_215)),zero) )],[refute_0_981,refute_0_982]) ).

cnf(refute_0_984,plain,
    multiplication(X_215,addition(coantidomain(X_215),X_217)) = addition(zero,multiplication(X_215,X_217)),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(coantidomain(X_215),X_217)),addition(multiplication(X_215,coantidomain(X_215)),multiplication(X_215,X_217))) )],[refute_0_980,refute_0_983]) ).

cnf(refute_0_985,plain,
    ( addition(zero,multiplication(X_215,X_217)) != multiplication(X_215,X_217)
    | multiplication(X_215,addition(coantidomain(X_215),X_217)) != addition(zero,multiplication(X_215,X_217))
    | multiplication(X_215,addition(coantidomain(X_215),X_217)) = multiplication(X_215,X_217) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(coantidomain(X_215),X_217)),addition(zero,multiplication(X_215,X_217))) ),[1],$fot(multiplication(X_215,X_217))]]) ).

cnf(refute_0_986,plain,
    ( multiplication(X_215,addition(coantidomain(X_215),X_217)) != addition(zero,multiplication(X_215,X_217))
    | multiplication(X_215,addition(coantidomain(X_215),X_217)) = multiplication(X_215,X_217) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_215,X_217)),multiplication(X_215,X_217)) )],[refute_0_510,refute_0_985]) ).

cnf(refute_0_987,plain,
    multiplication(X_215,addition(coantidomain(X_215),X_217)) = multiplication(X_215,X_217),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(coantidomain(X_215),X_217)),addition(zero,multiplication(X_215,X_217))) )],[refute_0_984,refute_0_986]) ).

cnf(refute_0_988,plain,
    multiplication(antidomain(X_878),addition(coantidomain(antidomain(X_878)),coantidomain(domain(X_878)))) = multiplication(antidomain(X_878),coantidomain(domain(X_878))),
    inference(subst,[],[refute_0_987:[bind(X_215,$fot(antidomain(X_878))),bind(X_217,$fot(coantidomain(domain(X_878))))]]) ).

cnf(refute_0_989,plain,
    multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) = addition(multiplication(antidomain(X0),X_216),multiplication(antidomain(X0),coantidomain(domain(X0)))),
    inference(subst,[],[right_distributivity:[bind(A,$fot(antidomain(X0))),bind(B,$fot(X_216)),bind(C,$fot(coantidomain(domain(X0))))]]) ).

cnf(refute_0_990,plain,
    multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))) = multiplication(antidomain(X0),coantidomain(domain(X0))),
    inference(subst,[],[refute_0_290:[bind(X_72,$fot(antidomain(X0))),bind(X_73,$fot(domain(X0)))]]) ).

cnf(refute_0_991,plain,
    ( addition(antidomain(X0),domain(X0)) != one
    | multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))) != multiplication(antidomain(X0),coantidomain(domain(X0)))
    | multiplication(one,coantidomain(domain(X0))) = multiplication(antidomain(X0),coantidomain(domain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))),multiplication(antidomain(X0),coantidomain(domain(X0)))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_992,plain,
    ( multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))) != multiplication(antidomain(X0),coantidomain(domain(X0)))
    | multiplication(one,coantidomain(domain(X0))) = multiplication(antidomain(X0),coantidomain(domain(X0))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_101,refute_0_991]) ).

cnf(refute_0_993,plain,
    multiplication(one,coantidomain(domain(X0))) = multiplication(antidomain(X0),coantidomain(domain(X0))),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))),multiplication(antidomain(X0),coantidomain(domain(X0)))) )],[refute_0_990,refute_0_992]) ).

cnf(refute_0_994,plain,
    multiplication(one,coantidomain(domain(X0))) = coantidomain(domain(X0)),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(coantidomain(domain(X0))))]]) ).

cnf(refute_0_995,plain,
    ( multiplication(one,coantidomain(domain(X0))) != coantidomain(domain(X0))
    | multiplication(one,coantidomain(domain(X0))) != multiplication(antidomain(X0),coantidomain(domain(X0)))
    | coantidomain(domain(X0)) = multiplication(antidomain(X0),coantidomain(domain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(domain(X0))),multiplication(antidomain(X0),coantidomain(domain(X0)))) ),[0],$fot(coantidomain(domain(X0)))]]) ).

cnf(refute_0_996,plain,
    ( multiplication(one,coantidomain(domain(X0))) != multiplication(antidomain(X0),coantidomain(domain(X0)))
    | coantidomain(domain(X0)) = multiplication(antidomain(X0),coantidomain(domain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(domain(X0))),coantidomain(domain(X0))) )],[refute_0_994,refute_0_995]) ).

cnf(refute_0_997,plain,
    coantidomain(domain(X0)) = multiplication(antidomain(X0),coantidomain(domain(X0))),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(domain(X0))),multiplication(antidomain(X0),coantidomain(domain(X0)))) )],[refute_0_993,refute_0_996]) ).

cnf(refute_0_998,plain,
    ( coantidomain(domain(X0)) != multiplication(antidomain(X0),coantidomain(domain(X0)))
    | multiplication(antidomain(X0),coantidomain(domain(X0))) = coantidomain(domain(X0)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(coantidomain(domain(X0)))),bind(Y,$fot(multiplication(antidomain(X0),coantidomain(domain(X0)))))]]) ).

cnf(refute_0_999,plain,
    multiplication(antidomain(X0),coantidomain(domain(X0))) = coantidomain(domain(X0)),
    inference(resolve,[$cnf( $equal(coantidomain(domain(X0)),multiplication(antidomain(X0),coantidomain(domain(X0)))) )],[refute_0_997,refute_0_998]) ).

cnf(refute_0_1000,plain,
    ( multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) != addition(multiplication(antidomain(X0),X_216),multiplication(antidomain(X0),coantidomain(domain(X0))))
    | multiplication(antidomain(X0),coantidomain(domain(X0))) != coantidomain(domain(X0))
    | multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) = addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))),addition(multiplication(antidomain(X0),X_216),multiplication(antidomain(X0),coantidomain(domain(X0))))) ),[1,1],$fot(coantidomain(domain(X0)))]]) ).

cnf(refute_0_1001,plain,
    ( multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) != addition(multiplication(antidomain(X0),X_216),multiplication(antidomain(X0),coantidomain(domain(X0))))
    | multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) = addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X0),coantidomain(domain(X0))),coantidomain(domain(X0))) )],[refute_0_999,refute_0_1000]) ).

cnf(refute_0_1002,plain,
    multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) = addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0))),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))),addition(multiplication(antidomain(X0),X_216),multiplication(antidomain(X0),coantidomain(domain(X0))))) )],[refute_0_989,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0))) = addition(coantidomain(domain(X0)),multiplication(antidomain(X0),X_216)),
    inference(subst,[],[refute_0_50:[bind(A,$fot(coantidomain(domain(X0)))),bind(B,$fot(multiplication(antidomain(X0),X_216)))]]) ).

cnf(refute_0_1004,plain,
    ( addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0))) != addition(coantidomain(domain(X0)),multiplication(antidomain(X0),X_216))
    | multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) != addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0)))
    | multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) = addition(coantidomain(domain(X0)),multiplication(antidomain(X0),X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))),addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0)))) ),[1],$fot(addition(coantidomain(domain(X0)),multiplication(antidomain(X0),X_216)))]]) ).

cnf(refute_0_1005,plain,
    ( multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) != addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0)))
    | multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) = addition(coantidomain(domain(X0)),multiplication(antidomain(X0),X_216)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0))),addition(coantidomain(domain(X0)),multiplication(antidomain(X0),X_216))) )],[refute_0_1003,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))) = addition(coantidomain(domain(X0)),multiplication(antidomain(X0),X_216)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X0),addition(X_216,coantidomain(domain(X0)))),addition(multiplication(antidomain(X0),X_216),coantidomain(domain(X0)))) )],[refute_0_1002,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    multiplication(antidomain(X_878),addition(coantidomain(antidomain(X_878)),coantidomain(domain(X_878)))) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))),
    inference(subst,[],[refute_0_1006:[bind(X0,$fot(X_878)),bind(X_216,$fot(coantidomain(antidomain(X_878))))]]) ).

cnf(refute_0_1008,plain,
    ( multiplication(antidomain(X_878),addition(coantidomain(antidomain(X_878)),coantidomain(domain(X_878)))) != addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878))))
    | multiplication(antidomain(X_878),addition(coantidomain(antidomain(X_878)),coantidomain(domain(X_878)))) != multiplication(antidomain(X_878),coantidomain(domain(X_878)))
    | addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) = multiplication(antidomain(X_878),coantidomain(domain(X_878))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_878),addition(coantidomain(antidomain(X_878)),coantidomain(domain(X_878)))),multiplication(antidomain(X_878),coantidomain(domain(X_878)))) ),[0],$fot(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))))]]) ).

cnf(refute_0_1009,plain,
    ( multiplication(antidomain(X_878),addition(coantidomain(antidomain(X_878)),coantidomain(domain(X_878)))) != multiplication(antidomain(X_878),coantidomain(domain(X_878)))
    | addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) = multiplication(antidomain(X_878),coantidomain(domain(X_878))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(coantidomain(antidomain(X_878)),coantidomain(domain(X_878)))),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878))))) )],[refute_0_1007,refute_0_1008]) ).

cnf(refute_0_1010,plain,
    addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) = multiplication(antidomain(X_878),coantidomain(domain(X_878))),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(coantidomain(antidomain(X_878)),coantidomain(domain(X_878)))),multiplication(antidomain(X_878),coantidomain(domain(X_878)))) )],[refute_0_988,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    multiplication(antidomain(X_878),one) = antidomain(X_878),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(antidomain(X_878)))]]) ).

cnf(refute_0_1012,plain,
    multiplication(X_215,addition(X_216,coantidomain(X_215))) = addition(multiplication(X_215,X_216),multiplication(X_215,coantidomain(X_215))),
    inference(subst,[],[right_distributivity:[bind(A,$fot(X_215)),bind(B,$fot(X_216)),bind(C,$fot(coantidomain(X_215)))]]) ).

cnf(refute_0_1013,plain,
    ( multiplication(X_215,addition(X_216,coantidomain(X_215))) != addition(multiplication(X_215,X_216),multiplication(X_215,coantidomain(X_215)))
    | multiplication(X_215,coantidomain(X_215)) != zero
    | multiplication(X_215,addition(X_216,coantidomain(X_215))) = addition(multiplication(X_215,X_216),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(X_216,coantidomain(X_215))),addition(multiplication(X_215,X_216),multiplication(X_215,coantidomain(X_215)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1014,plain,
    ( multiplication(X_215,addition(X_216,coantidomain(X_215))) != addition(multiplication(X_215,X_216),multiplication(X_215,coantidomain(X_215)))
    | multiplication(X_215,addition(X_216,coantidomain(X_215))) = addition(multiplication(X_215,X_216),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,coantidomain(X_215)),zero) )],[refute_0_981,refute_0_1013]) ).

cnf(refute_0_1015,plain,
    multiplication(X_215,addition(X_216,coantidomain(X_215))) = addition(multiplication(X_215,X_216),zero),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(X_216,coantidomain(X_215))),addition(multiplication(X_215,X_216),multiplication(X_215,coantidomain(X_215)))) )],[refute_0_1012,refute_0_1014]) ).

cnf(refute_0_1016,plain,
    addition(multiplication(X_215,X_216),zero) = multiplication(X_215,X_216),
    inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(X_215,X_216)))]]) ).

cnf(refute_0_1017,plain,
    ( addition(multiplication(X_215,X_216),zero) != multiplication(X_215,X_216)
    | multiplication(X_215,addition(X_216,coantidomain(X_215))) != addition(multiplication(X_215,X_216),zero)
    | multiplication(X_215,addition(X_216,coantidomain(X_215))) = multiplication(X_215,X_216) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(X_216,coantidomain(X_215))),addition(multiplication(X_215,X_216),zero)) ),[1],$fot(multiplication(X_215,X_216))]]) ).

cnf(refute_0_1018,plain,
    ( multiplication(X_215,addition(X_216,coantidomain(X_215))) != addition(multiplication(X_215,X_216),zero)
    | multiplication(X_215,addition(X_216,coantidomain(X_215))) = multiplication(X_215,X_216) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_215,X_216),zero),multiplication(X_215,X_216)) )],[refute_0_1016,refute_0_1017]) ).

cnf(refute_0_1019,plain,
    multiplication(X_215,addition(X_216,coantidomain(X_215))) = multiplication(X_215,X_216),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(X_216,coantidomain(X_215))),addition(multiplication(X_215,X_216),zero)) )],[refute_0_1015,refute_0_1018]) ).

cnf(refute_0_1020,plain,
    multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))) = multiplication(antidomain(X_878),one),
    inference(subst,[],[refute_0_1019:[bind(X_215,$fot(antidomain(X_878))),bind(X_216,$fot(one))]]) ).

cnf(refute_0_1021,plain,
    ( multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))) != multiplication(antidomain(X_878),one)
    | multiplication(antidomain(X_878),one) != antidomain(X_878)
    | multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))) = antidomain(X_878) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))))),bind(Y,$fot(multiplication(antidomain(X_878),one))),bind(Z,$fot(antidomain(X_878)))]]) ).

cnf(refute_0_1022,plain,
    ( multiplication(antidomain(X_878),one) != antidomain(X_878)
    | multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))) = antidomain(X_878) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))),multiplication(antidomain(X_878),one)) )],[refute_0_1020,refute_0_1021]) ).

cnf(refute_0_1023,plain,
    multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))) = antidomain(X_878),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),one),antidomain(X_878)) )],[refute_0_1011,refute_0_1022]) ).

cnf(refute_0_1024,plain,
    multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) = addition(antidomain(X_878),multiplication(antidomain(X_878),addition(X_879,coantidomain(domain(X_878))))),
    inference(subst,[],[refute_0_845:[bind(X_215,$fot(antidomain(X_878))),bind(X_217,$fot(addition(X_879,coantidomain(domain(X_878)))))]]) ).

cnf(refute_0_1025,plain,
    multiplication(antidomain(X_878),addition(X_879,coantidomain(domain(X_878)))) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)),
    inference(subst,[],[refute_0_1006:[bind(X0,$fot(X_878)),bind(X_216,$fot(X_879))]]) ).

cnf(refute_0_1026,plain,
    ( multiplication(antidomain(X_878),addition(X_879,coantidomain(domain(X_878)))) != addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))
    | multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) != addition(antidomain(X_878),multiplication(antidomain(X_878),addition(X_879,coantidomain(domain(X_878)))))
    | multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) = addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))),addition(antidomain(X_878),multiplication(antidomain(X_878),addition(X_879,coantidomain(domain(X_878)))))) ),[1,1],$fot(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))]]) ).

cnf(refute_0_1027,plain,
    ( multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) != addition(antidomain(X_878),multiplication(antidomain(X_878),addition(X_879,coantidomain(domain(X_878)))))
    | multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) = addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(X_879,coantidomain(domain(X_878)))),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) )],[refute_0_1025,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) = addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))),addition(antidomain(X_878),multiplication(antidomain(X_878),addition(X_879,coantidomain(domain(X_878)))))) )],[refute_0_1024,refute_0_1027]) ).

cnf(refute_0_1029,plain,
    addition(antidomain(X0),addition(domain(X0),X_161)) = addition(addition(antidomain(X0),domain(X0)),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(antidomain(X0))),bind(B,$fot(domain(X0))),bind(C,$fot(X_161))]]) ).

cnf(refute_0_1030,plain,
    ( addition(antidomain(X0),addition(domain(X0),X_161)) != addition(addition(antidomain(X0),domain(X0)),X_161)
    | addition(antidomain(X0),domain(X0)) != one
    | addition(antidomain(X0),addition(domain(X0),X_161)) = addition(one,X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_161)),addition(addition(antidomain(X0),domain(X0)),X_161)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1031,plain,
    ( addition(antidomain(X0),addition(domain(X0),X_161)) != addition(addition(antidomain(X0),domain(X0)),X_161)
    | addition(antidomain(X0),addition(domain(X0),X_161)) = addition(one,X_161) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_101,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    addition(antidomain(X0),addition(domain(X0),X_161)) = addition(one,X_161),
    inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_161)),addition(addition(antidomain(X0),domain(X0)),X_161)) )],[refute_0_1029,refute_0_1031]) ).

cnf(refute_0_1033,plain,
    addition(antidomain(X_353),addition(domain(X_353),X_354)) = addition(one,X_354),
    inference(subst,[],[refute_0_1032:[bind(X0,$fot(X_353)),bind(X_161,$fot(X_354))]]) ).

cnf(refute_0_1034,plain,
    addition(X_354,domain(X_353)) = addition(domain(X_353),X_354),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(X_354)),bind(B,$fot(domain(X_353)))]]) ).

cnf(refute_0_1035,plain,
    ( addition(X_354,domain(X_353)) != addition(domain(X_353),X_354)
    | addition(domain(X_353),X_354) = addition(X_354,domain(X_353)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_354,domain(X_353)))),bind(Y,$fot(addition(domain(X_353),X_354)))]]) ).

cnf(refute_0_1036,plain,
    addition(domain(X_353),X_354) = addition(X_354,domain(X_353)),
    inference(resolve,[$cnf( $equal(addition(X_354,domain(X_353)),addition(domain(X_353),X_354)) )],[refute_0_1034,refute_0_1035]) ).

cnf(refute_0_1037,plain,
    ( addition(antidomain(X_353),addition(domain(X_353),X_354)) != addition(one,X_354)
    | addition(domain(X_353),X_354) != addition(X_354,domain(X_353))
    | addition(antidomain(X_353),addition(X_354,domain(X_353))) = addition(one,X_354) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_353),addition(domain(X_353),X_354)),addition(one,X_354)) ),[0,1],$fot(addition(X_354,domain(X_353)))]]) ).

cnf(refute_0_1038,plain,
    ( addition(antidomain(X_353),addition(domain(X_353),X_354)) != addition(one,X_354)
    | addition(antidomain(X_353),addition(X_354,domain(X_353))) = addition(one,X_354) ),
    inference(resolve,[$cnf( $equal(addition(domain(X_353),X_354),addition(X_354,domain(X_353))) )],[refute_0_1036,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    addition(antidomain(X_353),addition(X_354,domain(X_353))) = addition(one,X_354),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_353),addition(domain(X_353),X_354)),addition(one,X_354)) )],[refute_0_1033,refute_0_1038]) ).

cnf(refute_0_1040,plain,
    addition(antidomain(X_353),addition(domain(X_353),addition(X_160,domain(X_353)))) = addition(one,addition(X_160,domain(X_353))),
    inference(subst,[],[refute_0_1032:[bind(X0,$fot(X_353)),bind(X_161,$fot(addition(X_160,domain(X_353))))]]) ).

cnf(refute_0_1041,plain,
    addition(addition(X_160,X_161),addition(X_160,X_161)) = addition(addition(addition(X_160,X_161),X_160),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(addition(X_160,X_161))),bind(B,$fot(X_160)),bind(C,$fot(X_161))]]) ).

cnf(refute_0_1042,plain,
    addition(addition(X_160,X_161),addition(X_160,X_161)) = addition(X_160,X_161),
    inference(subst,[],[additive_idempotence:[bind(A,$fot(addition(X_160,X_161)))]]) ).

cnf(refute_0_1043,plain,
    ( addition(addition(X_160,X_161),addition(X_160,X_161)) != addition(X_160,X_161)
    | addition(addition(X_160,X_161),addition(X_160,X_161)) != addition(addition(addition(X_160,X_161),X_160),X_161)
    | addition(X_160,X_161) = addition(addition(addition(X_160,X_161),X_160),X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_160,X_161),addition(X_160,X_161)),addition(addition(addition(X_160,X_161),X_160),X_161)) ),[0],$fot(addition(X_160,X_161))]]) ).

cnf(refute_0_1044,plain,
    ( addition(addition(X_160,X_161),addition(X_160,X_161)) != addition(addition(addition(X_160,X_161),X_160),X_161)
    | addition(X_160,X_161) = addition(addition(addition(X_160,X_161),X_160),X_161) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_160,X_161),addition(X_160,X_161)),addition(X_160,X_161)) )],[refute_0_1042,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    addition(X_160,X_161) = addition(addition(addition(X_160,X_161),X_160),X_161),
    inference(resolve,[$cnf( $equal(addition(addition(X_160,X_161),addition(X_160,X_161)),addition(addition(addition(X_160,X_161),X_160),X_161)) )],[refute_0_1041,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    addition(X_159,addition(X_160,X_161)) = addition(addition(X_159,X_160),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(X_159)),bind(B,$fot(X_160)),bind(C,$fot(X_161))]]) ).

cnf(refute_0_1047,plain,
    addition(X_161,X_160) = addition(X_160,X_161),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(X_161)),bind(B,$fot(X_160))]]) ).

cnf(refute_0_1048,plain,
    ( addition(X_161,X_160) != addition(X_160,X_161)
    | addition(X_160,X_161) = addition(X_161,X_160) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_161,X_160))),bind(Y,$fot(addition(X_160,X_161)))]]) ).

cnf(refute_0_1049,plain,
    addition(X_160,X_161) = addition(X_161,X_160),
    inference(resolve,[$cnf( $equal(addition(X_161,X_160),addition(X_160,X_161)) )],[refute_0_1047,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    ( addition(X_159,addition(X_160,X_161)) != addition(addition(X_159,X_160),X_161)
    | addition(X_160,X_161) != addition(X_161,X_160)
    | addition(X_159,addition(X_161,X_160)) = addition(addition(X_159,X_160),X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_159,addition(X_160,X_161)),addition(addition(X_159,X_160),X_161)) ),[0,1],$fot(addition(X_161,X_160))]]) ).

cnf(refute_0_1051,plain,
    ( addition(X_159,addition(X_160,X_161)) != addition(addition(X_159,X_160),X_161)
    | addition(X_159,addition(X_161,X_160)) = addition(addition(X_159,X_160),X_161) ),
    inference(resolve,[$cnf( $equal(addition(X_160,X_161),addition(X_161,X_160)) )],[refute_0_1049,refute_0_1050]) ).

cnf(refute_0_1052,plain,
    addition(X_159,addition(X_161,X_160)) = addition(addition(X_159,X_160),X_161),
    inference(resolve,[$cnf( $equal(addition(X_159,addition(X_160,X_161)),addition(addition(X_159,X_160),X_161)) )],[refute_0_1046,refute_0_1051]) ).

cnf(refute_0_1053,plain,
    addition(addition(X_159,X_160),X_161) = addition(X_159,addition(X_160,X_161)),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_159)),bind(B,$fot(X_160)),bind(C,$fot(X_161))]]) ).

cnf(refute_0_1054,plain,
    ( addition(X_159,addition(X_161,X_160)) != addition(addition(X_159,X_160),X_161)
    | addition(addition(X_159,X_160),X_161) != addition(X_159,addition(X_160,X_161))
    | addition(X_159,addition(X_161,X_160)) = addition(X_159,addition(X_160,X_161)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_159,addition(X_161,X_160)),addition(X_159,addition(X_160,X_161))) ),[0],$fot(addition(addition(X_159,X_160),X_161))]]) ).

cnf(refute_0_1055,plain,
    ( addition(X_159,addition(X_161,X_160)) != addition(addition(X_159,X_160),X_161)
    | addition(X_159,addition(X_161,X_160)) = addition(X_159,addition(X_160,X_161)) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_159,X_160),X_161),addition(X_159,addition(X_160,X_161))) )],[refute_0_1053,refute_0_1054]) ).

cnf(refute_0_1056,plain,
    addition(X_159,addition(X_161,X_160)) = addition(X_159,addition(X_160,X_161)),
    inference(resolve,[$cnf( $equal(addition(X_159,addition(X_161,X_160)),addition(addition(X_159,X_160),X_161)) )],[refute_0_1052,refute_0_1055]) ).

cnf(refute_0_1057,plain,
    ( addition(X_159,addition(X_161,X_160)) != addition(X_159,addition(X_160,X_161))
    | addition(X_159,addition(X_160,X_161)) = addition(X_159,addition(X_161,X_160)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_159,addition(X_161,X_160)))),bind(Y,$fot(addition(X_159,addition(X_160,X_161))))]]) ).

cnf(refute_0_1058,plain,
    addition(X_159,addition(X_160,X_161)) = addition(X_159,addition(X_161,X_160)),
    inference(resolve,[$cnf( $equal(addition(X_159,addition(X_161,X_160)),addition(X_159,addition(X_160,X_161))) )],[refute_0_1056,refute_0_1057]) ).

cnf(refute_0_1059,plain,
    addition(X_161,addition(addition(X_160,X_161),X_160)) = addition(X_161,addition(X_160,addition(X_160,X_161))),
    inference(subst,[],[refute_0_1058:[bind(X_159,$fot(X_161)),bind(X_160,$fot(addition(X_160,X_161))),bind(X_161,$fot(X_160))]]) ).

cnf(refute_0_1060,plain,
    ( addition(A,addition(X_159,X_160)) != addition(X_159,addition(X_160,A))
    | addition(X_159,addition(X_160,A)) = addition(A,addition(X_159,X_160)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,addition(X_159,X_160)))),bind(Y,$fot(addition(X_159,addition(X_160,A))))]]) ).

cnf(refute_0_1061,plain,
    addition(X_159,addition(X_160,A)) = addition(A,addition(X_159,X_160)),
    inference(resolve,[$cnf( $equal(addition(A,addition(X_159,X_160)),addition(X_159,addition(X_160,A))) )],[refute_0_840,refute_0_1060]) ).

cnf(refute_0_1062,plain,
    addition(addition(X_160,X_161),addition(X_160,X_161)) = addition(X_161,addition(addition(X_160,X_161),X_160)),
    inference(subst,[],[refute_0_1061:[bind(A,$fot(X_161)),bind(X_159,$fot(addition(X_160,X_161)))]]) ).

cnf(refute_0_1063,plain,
    ( addition(X_161,addition(addition(X_160,X_161),X_160)) != addition(X_161,addition(X_160,addition(X_160,X_161)))
    | addition(addition(X_160,X_161),addition(X_160,X_161)) != addition(X_161,addition(addition(X_160,X_161),X_160))
    | addition(addition(X_160,X_161),addition(X_160,X_161)) = addition(X_161,addition(X_160,addition(X_160,X_161))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(addition(X_160,X_161),addition(X_160,X_161)))),bind(Y,$fot(addition(X_161,addition(addition(X_160,X_161),X_160)))),bind(Z,$fot(addition(X_161,addition(X_160,addition(X_160,X_161)))))]]) ).

cnf(refute_0_1064,plain,
    ( addition(X_161,addition(addition(X_160,X_161),X_160)) != addition(X_161,addition(X_160,addition(X_160,X_161)))
    | addition(addition(X_160,X_161),addition(X_160,X_161)) = addition(X_161,addition(X_160,addition(X_160,X_161))) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_160,X_161),addition(X_160,X_161)),addition(X_161,addition(addition(X_160,X_161),X_160))) )],[refute_0_1062,refute_0_1063]) ).

cnf(refute_0_1065,plain,
    addition(addition(X_160,X_161),addition(X_160,X_161)) = addition(X_161,addition(X_160,addition(X_160,X_161))),
    inference(resolve,[$cnf( $equal(addition(X_161,addition(addition(X_160,X_161),X_160)),addition(X_161,addition(X_160,addition(X_160,X_161)))) )],[refute_0_1059,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    addition(addition(addition(X_160,X_161),X_160),X_161) = addition(addition(X_160,X_161),addition(X_160,X_161)),
    inference(subst,[],[refute_0_197:[bind(A,$fot(addition(X_160,X_161))),bind(B,$fot(X_160)),bind(C,$fot(X_161))]]) ).

cnf(refute_0_1067,plain,
    ( addition(addition(X_160,X_161),addition(X_160,X_161)) != addition(X_161,addition(X_160,addition(X_160,X_161)))
    | addition(addition(addition(X_160,X_161),X_160),X_161) != addition(addition(X_160,X_161),addition(X_160,X_161))
    | addition(addition(addition(X_160,X_161),X_160),X_161) = addition(X_161,addition(X_160,addition(X_160,X_161))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(addition(addition(X_160,X_161),X_160),X_161))),bind(Y,$fot(addition(addition(X_160,X_161),addition(X_160,X_161)))),bind(Z,$fot(addition(X_161,addition(X_160,addition(X_160,X_161)))))]]) ).

cnf(refute_0_1068,plain,
    ( addition(addition(X_160,X_161),addition(X_160,X_161)) != addition(X_161,addition(X_160,addition(X_160,X_161)))
    | addition(addition(addition(X_160,X_161),X_160),X_161) = addition(X_161,addition(X_160,addition(X_160,X_161))) ),
    inference(resolve,[$cnf( $equal(addition(addition(addition(X_160,X_161),X_160),X_161),addition(addition(X_160,X_161),addition(X_160,X_161))) )],[refute_0_1066,refute_0_1067]) ).

cnf(refute_0_1069,plain,
    addition(addition(addition(X_160,X_161),X_160),X_161) = addition(X_161,addition(X_160,addition(X_160,X_161))),
    inference(resolve,[$cnf( $equal(addition(addition(X_160,X_161),addition(X_160,X_161)),addition(X_161,addition(X_160,addition(X_160,X_161)))) )],[refute_0_1065,refute_0_1068]) ).

cnf(refute_0_1070,plain,
    ( addition(X_160,X_161) != addition(addition(addition(X_160,X_161),X_160),X_161)
    | addition(addition(addition(X_160,X_161),X_160),X_161) != addition(X_161,addition(X_160,addition(X_160,X_161)))
    | addition(X_160,X_161) = addition(X_161,addition(X_160,addition(X_160,X_161))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_160,X_161),addition(X_161,addition(X_160,addition(X_160,X_161)))) ),[0],$fot(addition(addition(addition(X_160,X_161),X_160),X_161))]]) ).

cnf(refute_0_1071,plain,
    ( addition(X_160,X_161) != addition(addition(addition(X_160,X_161),X_160),X_161)
    | addition(X_160,X_161) = addition(X_161,addition(X_160,addition(X_160,X_161))) ),
    inference(resolve,[$cnf( $equal(addition(addition(addition(X_160,X_161),X_160),X_161),addition(X_161,addition(X_160,addition(X_160,X_161)))) )],[refute_0_1069,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    addition(X_160,X_161) = addition(X_161,addition(X_160,addition(X_160,X_161))),
    inference(resolve,[$cnf( $equal(addition(X_160,X_161),addition(addition(addition(X_160,X_161),X_160),X_161)) )],[refute_0_1045,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    addition(X_160,addition(X_160,X_161)) = addition(addition(X_160,X_160),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(X_160)),bind(B,$fot(X_160)),bind(C,$fot(X_161))]]) ).

cnf(refute_0_1074,plain,
    addition(X_160,X_160) = X_160,
    inference(subst,[],[additive_idempotence:[bind(A,$fot(X_160))]]) ).

cnf(refute_0_1075,plain,
    ( addition(X_160,X_160) != X_160
    | addition(X_160,addition(X_160,X_161)) != addition(addition(X_160,X_160),X_161)
    | addition(X_160,addition(X_160,X_161)) = addition(X_160,X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_160,addition(X_160,X_161)),addition(addition(X_160,X_160),X_161)) ),[1,0],$fot(X_160)]]) ).

cnf(refute_0_1076,plain,
    ( addition(X_160,addition(X_160,X_161)) != addition(addition(X_160,X_160),X_161)
    | addition(X_160,addition(X_160,X_161)) = addition(X_160,X_161) ),
    inference(resolve,[$cnf( $equal(addition(X_160,X_160),X_160) )],[refute_0_1074,refute_0_1075]) ).

cnf(refute_0_1077,plain,
    addition(X_160,addition(X_160,X_161)) = addition(X_160,X_161),
    inference(resolve,[$cnf( $equal(addition(X_160,addition(X_160,X_161)),addition(addition(X_160,X_160),X_161)) )],[refute_0_1073,refute_0_1076]) ).

cnf(refute_0_1078,plain,
    addition(X_161,addition(X_160,addition(X_160,X_161))) = addition(X_161,addition(X_160,addition(X_160,X_161))),
    introduced(tautology,[refl,[$fot(addition(X_161,addition(X_160,addition(X_160,X_161))))]]) ).

cnf(refute_0_1079,plain,
    ( addition(X_160,addition(X_160,X_161)) != addition(X_160,X_161)
    | addition(X_161,addition(X_160,addition(X_160,X_161))) != addition(X_161,addition(X_160,addition(X_160,X_161)))
    | addition(X_161,addition(X_160,addition(X_160,X_161))) = addition(X_161,addition(X_160,X_161)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_161,addition(X_160,addition(X_160,X_161))),addition(X_161,addition(X_160,addition(X_160,X_161)))) ),[1,1],$fot(addition(X_160,X_161))]]) ).

cnf(refute_0_1080,plain,
    ( addition(X_160,addition(X_160,X_161)) != addition(X_160,X_161)
    | addition(X_161,addition(X_160,addition(X_160,X_161))) = addition(X_161,addition(X_160,X_161)) ),
    inference(resolve,[$cnf( $equal(addition(X_161,addition(X_160,addition(X_160,X_161))),addition(X_161,addition(X_160,addition(X_160,X_161)))) )],[refute_0_1078,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    addition(X_161,addition(X_160,addition(X_160,X_161))) = addition(X_161,addition(X_160,X_161)),
    inference(resolve,[$cnf( $equal(addition(X_160,addition(X_160,X_161)),addition(X_160,X_161)) )],[refute_0_1077,refute_0_1080]) ).

cnf(refute_0_1082,plain,
    ( addition(X_160,X_161) != addition(X_161,addition(X_160,addition(X_160,X_161)))
    | addition(X_161,addition(X_160,addition(X_160,X_161))) != addition(X_161,addition(X_160,X_161))
    | addition(X_160,X_161) = addition(X_161,addition(X_160,X_161)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_160,X_161),addition(X_161,addition(X_160,X_161))) ),[0],$fot(addition(X_161,addition(X_160,addition(X_160,X_161))))]]) ).

cnf(refute_0_1083,plain,
    ( addition(X_160,X_161) != addition(X_161,addition(X_160,addition(X_160,X_161)))
    | addition(X_160,X_161) = addition(X_161,addition(X_160,X_161)) ),
    inference(resolve,[$cnf( $equal(addition(X_161,addition(X_160,addition(X_160,X_161))),addition(X_161,addition(X_160,X_161))) )],[refute_0_1081,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    addition(X_160,X_161) = addition(X_161,addition(X_160,X_161)),
    inference(resolve,[$cnf( $equal(addition(X_160,X_161),addition(X_161,addition(X_160,addition(X_160,X_161)))) )],[refute_0_1072,refute_0_1083]) ).

cnf(refute_0_1085,plain,
    addition(X_160,domain(X_353)) = addition(domain(X_353),addition(X_160,domain(X_353))),
    inference(subst,[],[refute_0_1084:[bind(X_161,$fot(domain(X_353)))]]) ).

cnf(refute_0_1086,plain,
    ( addition(X_160,domain(X_353)) != addition(domain(X_353),addition(X_160,domain(X_353)))
    | addition(domain(X_353),addition(X_160,domain(X_353))) = addition(X_160,domain(X_353)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_160,domain(X_353)))),bind(Y,$fot(addition(domain(X_353),addition(X_160,domain(X_353)))))]]) ).

cnf(refute_0_1087,plain,
    addition(domain(X_353),addition(X_160,domain(X_353))) = addition(X_160,domain(X_353)),
    inference(resolve,[$cnf( $equal(addition(X_160,domain(X_353)),addition(domain(X_353),addition(X_160,domain(X_353)))) )],[refute_0_1085,refute_0_1086]) ).

cnf(refute_0_1088,plain,
    ( addition(antidomain(X_353),addition(domain(X_353),addition(X_160,domain(X_353)))) != addition(one,addition(X_160,domain(X_353)))
    | addition(domain(X_353),addition(X_160,domain(X_353))) != addition(X_160,domain(X_353))
    | addition(antidomain(X_353),addition(X_160,domain(X_353))) = addition(one,addition(X_160,domain(X_353))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_353),addition(domain(X_353),addition(X_160,domain(X_353)))),addition(one,addition(X_160,domain(X_353)))) ),[0,1],$fot(addition(X_160,domain(X_353)))]]) ).

cnf(refute_0_1089,plain,
    ( addition(antidomain(X_353),addition(domain(X_353),addition(X_160,domain(X_353)))) != addition(one,addition(X_160,domain(X_353)))
    | addition(antidomain(X_353),addition(X_160,domain(X_353))) = addition(one,addition(X_160,domain(X_353))) ),
    inference(resolve,[$cnf( $equal(addition(domain(X_353),addition(X_160,domain(X_353))),addition(X_160,domain(X_353))) )],[refute_0_1087,refute_0_1088]) ).

cnf(refute_0_1090,plain,
    addition(antidomain(X_353),addition(X_160,domain(X_353))) = addition(one,addition(X_160,domain(X_353))),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_353),addition(domain(X_353),addition(X_160,domain(X_353)))),addition(one,addition(X_160,domain(X_353)))) )],[refute_0_1040,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    addition(antidomain(X_353),addition(X_354,domain(X_353))) = addition(one,addition(X_354,domain(X_353))),
    inference(subst,[],[refute_0_1090:[bind(X_160,$fot(X_354))]]) ).

cnf(refute_0_1092,plain,
    ( addition(antidomain(X_353),addition(X_354,domain(X_353))) != addition(one,X_354)
    | addition(antidomain(X_353),addition(X_354,domain(X_353))) != addition(one,addition(X_354,domain(X_353)))
    | addition(one,addition(X_354,domain(X_353))) = addition(one,X_354) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_353),addition(X_354,domain(X_353))),addition(one,X_354)) ),[0],$fot(addition(one,addition(X_354,domain(X_353))))]]) ).

cnf(refute_0_1093,plain,
    ( addition(antidomain(X_353),addition(X_354,domain(X_353))) != addition(one,X_354)
    | addition(one,addition(X_354,domain(X_353))) = addition(one,X_354) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_353),addition(X_354,domain(X_353))),addition(one,addition(X_354,domain(X_353)))) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    addition(one,addition(X_354,domain(X_353))) = addition(one,X_354),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_353),addition(X_354,domain(X_353))),addition(one,X_354)) )],[refute_0_1039,refute_0_1093]) ).

cnf(refute_0_1095,plain,
    addition(one,addition(X_359,domain(coantidomain(X_7)))) = addition(one,X_359),
    inference(subst,[],[refute_0_1094:[bind(X_353,$fot(coantidomain(X_7))),bind(X_354,$fot(X_359))]]) ).

cnf(refute_0_1096,plain,
    domain(codomain(X_297)) = antidomain(antidomain(codomain(X_297))),
    inference(subst,[],[domain4:[bind(X0,$fot(codomain(X_297)))]]) ).

cnf(refute_0_1097,plain,
    antidomain(codomain(X_297)) = coantidomain(X_297),
    inference(subst,[],[refute_0_691:[bind(X0,$fot(X_297))]]) ).

cnf(refute_0_1098,plain,
    ( antidomain(codomain(X_297)) != coantidomain(X_297)
    | domain(codomain(X_297)) != antidomain(antidomain(codomain(X_297)))
    | domain(codomain(X_297)) = antidomain(coantidomain(X_297)) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(codomain(X_297)),antidomain(antidomain(codomain(X_297)))) ),[1,0],$fot(coantidomain(X_297))]]) ).

cnf(refute_0_1099,plain,
    ( domain(codomain(X_297)) != antidomain(antidomain(codomain(X_297)))
    | domain(codomain(X_297)) = antidomain(coantidomain(X_297)) ),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_297)),coantidomain(X_297)) )],[refute_0_1097,refute_0_1098]) ).

cnf(refute_0_1100,plain,
    domain(codomain(X_297)) = antidomain(coantidomain(X_297)),
    inference(resolve,[$cnf( $equal(domain(codomain(X_297)),antidomain(antidomain(codomain(X_297)))) )],[refute_0_1096,refute_0_1099]) ).

cnf(refute_0_1101,plain,
    antidomain(codomain(X_287)) = coantidomain(X_287),
    inference(subst,[],[refute_0_691:[bind(X0,$fot(X_287))]]) ).

cnf(refute_0_1102,plain,
    coantidomain(codomain(X_287)) = antidomain(codomain(X_287)),
    inference(subst,[],[refute_0_677:[bind(X_288,$fot(X_287))]]) ).

cnf(refute_0_1103,plain,
    ( antidomain(codomain(X_287)) != coantidomain(X_287)
    | coantidomain(codomain(X_287)) != antidomain(codomain(X_287))
    | coantidomain(codomain(X_287)) = coantidomain(X_287) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(coantidomain(codomain(X_287)))),bind(Y,$fot(antidomain(codomain(X_287)))),bind(Z,$fot(coantidomain(X_287)))]]) ).

cnf(refute_0_1104,plain,
    ( antidomain(codomain(X_287)) != coantidomain(X_287)
    | coantidomain(codomain(X_287)) = coantidomain(X_287) ),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X_287)),antidomain(codomain(X_287))) )],[refute_0_1102,refute_0_1103]) ).

cnf(refute_0_1105,plain,
    coantidomain(codomain(X_287)) = coantidomain(X_287),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_287)),coantidomain(X_287)) )],[refute_0_1101,refute_0_1104]) ).

cnf(refute_0_1106,plain,
    antidomain(coantidomain(codomain(X_287))) = antidomain(coantidomain(codomain(X_287))),
    introduced(tautology,[refl,[$fot(antidomain(coantidomain(codomain(X_287))))]]) ).

cnf(refute_0_1107,plain,
    ( antidomain(coantidomain(codomain(X_287))) != antidomain(coantidomain(codomain(X_287)))
    | coantidomain(codomain(X_287)) != coantidomain(X_287)
    | antidomain(coantidomain(codomain(X_287))) = antidomain(coantidomain(X_287)) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(coantidomain(codomain(X_287))),antidomain(coantidomain(codomain(X_287)))) ),[1,0],$fot(coantidomain(X_287))]]) ).

cnf(refute_0_1108,plain,
    ( coantidomain(codomain(X_287)) != coantidomain(X_287)
    | antidomain(coantidomain(codomain(X_287))) = antidomain(coantidomain(X_287)) ),
    inference(resolve,[$cnf( $equal(antidomain(coantidomain(codomain(X_287))),antidomain(coantidomain(codomain(X_287)))) )],[refute_0_1106,refute_0_1107]) ).

cnf(refute_0_1109,plain,
    antidomain(coantidomain(codomain(X_287))) = antidomain(coantidomain(X_287)),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X_287)),coantidomain(X_287)) )],[refute_0_1105,refute_0_1108]) ).

cnf(refute_0_1110,plain,
    ( antidomain(coantidomain(codomain(X_287))) != antidomain(coantidomain(X_287))
    | antidomain(coantidomain(codomain(X_287))) != codomain(X_287)
    | antidomain(coantidomain(X_287)) = codomain(X_287) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(coantidomain(codomain(X_287))),codomain(X_287)) ),[0],$fot(antidomain(coantidomain(X_287)))]]) ).

cnf(refute_0_1111,plain,
    ( antidomain(coantidomain(codomain(X_287))) != codomain(X_287)
    | antidomain(coantidomain(X_287)) = codomain(X_287) ),
    inference(resolve,[$cnf( $equal(antidomain(coantidomain(codomain(X_287))),antidomain(coantidomain(X_287))) )],[refute_0_1109,refute_0_1110]) ).

cnf(refute_0_1112,plain,
    antidomain(coantidomain(X_287)) = codomain(X_287),
    inference(resolve,[$cnf( $equal(antidomain(coantidomain(codomain(X_287))),codomain(X_287)) )],[refute_0_635,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    antidomain(coantidomain(X_297)) = codomain(X_297),
    inference(subst,[],[refute_0_1112:[bind(X_287,$fot(X_297))]]) ).

cnf(refute_0_1114,plain,
    ( antidomain(coantidomain(X_297)) != codomain(X_297)
    | domain(codomain(X_297)) != antidomain(coantidomain(X_297))
    | domain(codomain(X_297)) = codomain(X_297) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(codomain(X_297)),antidomain(coantidomain(X_297))) ),[1],$fot(codomain(X_297))]]) ).

cnf(refute_0_1115,plain,
    ( domain(codomain(X_297)) != antidomain(coantidomain(X_297))
    | domain(codomain(X_297)) = codomain(X_297) ),
    inference(resolve,[$cnf( $equal(antidomain(coantidomain(X_297)),codomain(X_297)) )],[refute_0_1113,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    domain(codomain(X_297)) = codomain(X_297),
    inference(resolve,[$cnf( $equal(domain(codomain(X_297)),antidomain(coantidomain(X_297))) )],[refute_0_1100,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    domain(codomain(coantidomain(X_7))) = codomain(coantidomain(X_7)),
    inference(subst,[],[refute_0_1116:[bind(X_297,$fot(coantidomain(X_7)))]]) ).

cnf(refute_0_1118,plain,
    coantidomain(codomain(X_7)) = antidomain(codomain(X_7)),
    inference(subst,[],[refute_0_677:[bind(X_288,$fot(X_7))]]) ).

cnf(refute_0_1119,plain,
    ( coantidomain(codomain(X_7)) != antidomain(codomain(X_7))
    | codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
    | codomain(coantidomain(X_7)) = antidomain(codomain(X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) ),[1],$fot(antidomain(codomain(X_7)))]]) ).

cnf(refute_0_1120,plain,
    ( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
    | codomain(coantidomain(X_7)) = antidomain(codomain(X_7)) ),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X_7)),antidomain(codomain(X_7))) )],[refute_0_1118,refute_0_1119]) ).

cnf(refute_0_1121,plain,
    codomain(coantidomain(X_7)) = antidomain(codomain(X_7)),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_261,refute_0_1120]) ).

cnf(refute_0_1122,plain,
    antidomain(codomain(X_7)) = coantidomain(X_7),
    inference(subst,[],[refute_0_691:[bind(X0,$fot(X_7))]]) ).

cnf(refute_0_1123,plain,
    ( antidomain(codomain(X_7)) != coantidomain(X_7)
    | codomain(coantidomain(X_7)) != antidomain(codomain(X_7))
    | codomain(coantidomain(X_7)) = coantidomain(X_7) ),
    introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_7)),antidomain(codomain(X_7))) ),[1],$fot(coantidomain(X_7))]]) ).

cnf(refute_0_1124,plain,
    ( codomain(coantidomain(X_7)) != antidomain(codomain(X_7))
    | codomain(coantidomain(X_7)) = coantidomain(X_7) ),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_7)),coantidomain(X_7)) )],[refute_0_1122,refute_0_1123]) ).

cnf(refute_0_1125,plain,
    codomain(coantidomain(X_7)) = coantidomain(X_7),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),antidomain(codomain(X_7))) )],[refute_0_1121,refute_0_1124]) ).

cnf(refute_0_1126,plain,
    ( codomain(coantidomain(X_7)) != coantidomain(X_7)
    | domain(codomain(coantidomain(X_7))) != codomain(coantidomain(X_7))
    | domain(coantidomain(X_7)) = codomain(coantidomain(X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(codomain(coantidomain(X_7))),codomain(coantidomain(X_7))) ),[0,0],$fot(coantidomain(X_7))]]) ).

cnf(refute_0_1127,plain,
    ( domain(codomain(coantidomain(X_7))) != codomain(coantidomain(X_7))
    | domain(coantidomain(X_7)) = codomain(coantidomain(X_7)) ),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(X_7)) )],[refute_0_1125,refute_0_1126]) ).

cnf(refute_0_1128,plain,
    domain(coantidomain(X_7)) = codomain(coantidomain(X_7)),
    inference(resolve,[$cnf( $equal(domain(codomain(coantidomain(X_7))),codomain(coantidomain(X_7))) )],[refute_0_1117,refute_0_1127]) ).

cnf(refute_0_1129,plain,
    ( codomain(coantidomain(X_7)) != coantidomain(X_7)
    | domain(coantidomain(X_7)) != codomain(coantidomain(X_7))
    | domain(coantidomain(X_7)) = coantidomain(X_7) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(X_7)),codomain(coantidomain(X_7))) ),[1],$fot(coantidomain(X_7))]]) ).

cnf(refute_0_1130,plain,
    ( domain(coantidomain(X_7)) != codomain(coantidomain(X_7))
    | domain(coantidomain(X_7)) = coantidomain(X_7) ),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(X_7)) )],[refute_0_1125,refute_0_1129]) ).

cnf(refute_0_1131,plain,
    domain(coantidomain(X_7)) = coantidomain(X_7),
    inference(resolve,[$cnf( $equal(domain(coantidomain(X_7)),codomain(coantidomain(X_7))) )],[refute_0_1128,refute_0_1130]) ).

cnf(refute_0_1132,plain,
    ( addition(one,addition(X_359,domain(coantidomain(X_7)))) != addition(one,X_359)
    | domain(coantidomain(X_7)) != coantidomain(X_7)
    | addition(one,addition(X_359,coantidomain(X_7))) = addition(one,X_359) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_359,domain(coantidomain(X_7)))),addition(one,X_359)) ),[0,1,1],$fot(coantidomain(X_7))]]) ).

cnf(refute_0_1133,plain,
    ( addition(one,addition(X_359,domain(coantidomain(X_7)))) != addition(one,X_359)
    | addition(one,addition(X_359,coantidomain(X_7))) = addition(one,X_359) ),
    inference(resolve,[$cnf( $equal(domain(coantidomain(X_7)),coantidomain(X_7)) )],[refute_0_1131,refute_0_1132]) ).

cnf(refute_0_1134,plain,
    addition(one,addition(X_359,coantidomain(X_7))) = addition(one,X_359),
    inference(resolve,[$cnf( $equal(addition(one,addition(X_359,domain(coantidomain(X_7)))),addition(one,X_359)) )],[refute_0_1095,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    addition(one,addition(X_879,coantidomain(domain(X_878)))) = addition(one,X_879),
    inference(subst,[],[refute_0_1134:[bind(X_359,$fot(X_879)),bind(X_7,$fot(domain(X_878)))]]) ).

cnf(refute_0_1136,plain,
    multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) = multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))))]]) ).

cnf(refute_0_1137,plain,
    ( addition(one,addition(X_879,coantidomain(domain(X_878)))) != addition(one,X_879)
    | multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) != multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878)))))
    | multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) = multiplication(antidomain(X_878),addition(one,X_879)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))),multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878)))))) ),[1,1],$fot(addition(one,X_879))]]) ).

cnf(refute_0_1138,plain,
    ( addition(one,addition(X_879,coantidomain(domain(X_878)))) != addition(one,X_879)
    | multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) = multiplication(antidomain(X_878),addition(one,X_879)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))),multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878)))))) )],[refute_0_1136,refute_0_1137]) ).

cnf(refute_0_1139,plain,
    multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) = multiplication(antidomain(X_878),addition(one,X_879)),
    inference(resolve,[$cnf( $equal(addition(one,addition(X_879,coantidomain(domain(X_878)))),addition(one,X_879)) )],[refute_0_1135,refute_0_1138]) ).

cnf(refute_0_1140,plain,
    ( multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) != addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))
    | multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) != multiplication(antidomain(X_878),addition(one,X_879))
    | multiplication(antidomain(X_878),addition(one,X_879)) = addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))),addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))) ),[0],$fot(multiplication(antidomain(X_878),addition(one,X_879)))]]) ).

cnf(refute_0_1141,plain,
    ( multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) != addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))
    | multiplication(antidomain(X_878),addition(one,X_879)) = addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))),multiplication(antidomain(X_878),addition(one,X_879))) )],[refute_0_1139,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    addition(multiplication(antidomain(X_878),X_879),coantidomain(domain(X_878))) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)),
    inference(subst,[],[refute_0_965:[bind(X_531,$fot(coantidomain(domain(X_878)))),bind(X_532,$fot(multiplication(antidomain(X_878),X_879)))]]) ).

cnf(refute_0_1143,plain,
    ( addition(A,coantidomain(domain(X_841))) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(A,coantidomain(domain(X_841))) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,coantidomain(domain(X_841))))),bind(Y,$fot(addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))))]]) ).

cnf(refute_0_1144,plain,
    addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(A,coantidomain(domain(X_841))),
    inference(resolve,[$cnf( $equal(addition(A,coantidomain(domain(X_841))),addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))) )],[refute_0_979,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) = addition(multiplication(antidomain(X_878),X_879),coantidomain(domain(X_878))),
    inference(subst,[],[refute_0_1144:[bind(A,$fot(multiplication(antidomain(X_878),X_879))),bind(X_841,$fot(X_878))]]) ).

cnf(refute_0_1146,plain,
    ( addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) != addition(multiplication(antidomain(X_878),X_879),coantidomain(domain(X_878)))
    | addition(multiplication(antidomain(X_878),X_879),coantidomain(domain(X_878))) != addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))
    | addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))))),bind(Y,$fot(addition(multiplication(antidomain(X_878),X_879),coantidomain(domain(X_878))))),bind(Z,$fot(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))))]]) ).

cnf(refute_0_1147,plain,
    ( addition(multiplication(antidomain(X_878),X_879),coantidomain(domain(X_878))) != addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))
    | addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))),addition(multiplication(antidomain(X_878),X_879),coantidomain(domain(X_878)))) )],[refute_0_1145,refute_0_1146]) ).

cnf(refute_0_1148,plain,
    addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)),
    inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_878),X_879),coantidomain(domain(X_878))),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) )],[refute_0_1142,refute_0_1147]) ).

cnf(refute_0_1149,plain,
    ( addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) != addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))
    | multiplication(antidomain(X_878),addition(one,X_879)) != addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))
    | multiplication(antidomain(X_878),addition(one,X_879)) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,X_879)),addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))) ),[1],$fot(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))]]) ).

cnf(refute_0_1150,plain,
    ( multiplication(antidomain(X_878),addition(one,X_879)) != addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))
    | multiplication(antidomain(X_878),addition(one,X_879)) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) )],[refute_0_1148,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    ( multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))) != addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))
    | multiplication(antidomain(X_878),addition(one,X_879)) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,X_879)),addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))) )],[refute_0_1141,refute_0_1150]) ).

cnf(refute_0_1152,plain,
    multiplication(antidomain(X_878),addition(one,X_879)) = addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,addition(X_879,coantidomain(domain(X_878))))),addition(antidomain(X_878),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)))) )],[refute_0_1028,refute_0_1151]) ).

cnf(refute_0_1153,plain,
    ( multiplication(antidomain(X_878),addition(one,X_879)) != addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))
    | addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)) = multiplication(antidomain(X_878),addition(one,X_879)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(antidomain(X_878),addition(one,X_879)))),bind(Y,$fot(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))))]]) ).

cnf(refute_0_1154,plain,
    addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879)) = multiplication(antidomain(X_878),addition(one,X_879)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,X_879)),addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),X_879))) )],[refute_0_1152,refute_0_1153]) ).

cnf(refute_0_1155,plain,
    addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) = multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))),
    inference(subst,[],[refute_0_1154:[bind(X_879,$fot(coantidomain(antidomain(X_878))))]]) ).

cnf(refute_0_1156,plain,
    ( addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) != multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878))))
    | multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))) != antidomain(X_878)
    | addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) = antidomain(X_878) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))))),bind(Y,$fot(multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))))),bind(Z,$fot(antidomain(X_878)))]]) ).

cnf(refute_0_1157,plain,
    ( multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))) != antidomain(X_878)
    | addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) = antidomain(X_878) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))),multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878))))) )],[refute_0_1155,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) = antidomain(X_878),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),addition(one,coantidomain(antidomain(X_878)))),antidomain(X_878)) )],[refute_0_1023,refute_0_1157]) ).

cnf(refute_0_1159,plain,
    ( addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) != antidomain(X_878)
    | addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) != multiplication(antidomain(X_878),coantidomain(domain(X_878)))
    | antidomain(X_878) = multiplication(antidomain(X_878),coantidomain(domain(X_878))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))),multiplication(antidomain(X_878),coantidomain(domain(X_878)))) ),[0],$fot(antidomain(X_878))]]) ).

cnf(refute_0_1160,plain,
    ( addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) != multiplication(antidomain(X_878),coantidomain(domain(X_878)))
    | antidomain(X_878) = multiplication(antidomain(X_878),coantidomain(domain(X_878))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))),antidomain(X_878)) )],[refute_0_1158,refute_0_1159]) ).

cnf(refute_0_1161,plain,
    multiplication(antidomain(X_878),coantidomain(domain(X_878))) = coantidomain(domain(X_878)),
    inference(subst,[],[refute_0_999:[bind(X0,$fot(X_878))]]) ).

cnf(refute_0_1162,plain,
    ( antidomain(X_878) != multiplication(antidomain(X_878),coantidomain(domain(X_878)))
    | multiplication(antidomain(X_878),coantidomain(domain(X_878))) != coantidomain(domain(X_878))
    | antidomain(X_878) = coantidomain(domain(X_878)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(X_878),coantidomain(domain(X_878))) ),[0],$fot(multiplication(antidomain(X_878),coantidomain(domain(X_878))))]]) ).

cnf(refute_0_1163,plain,
    ( antidomain(X_878) != multiplication(antidomain(X_878),coantidomain(domain(X_878)))
    | antidomain(X_878) = coantidomain(domain(X_878)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_878),coantidomain(domain(X_878))),coantidomain(domain(X_878))) )],[refute_0_1161,refute_0_1162]) ).

cnf(refute_0_1164,plain,
    ( addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))) != multiplication(antidomain(X_878),coantidomain(domain(X_878)))
    | antidomain(X_878) = coantidomain(domain(X_878)) ),
    inference(resolve,[$cnf( $equal(antidomain(X_878),multiplication(antidomain(X_878),coantidomain(domain(X_878)))) )],[refute_0_1160,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    antidomain(X_878) = coantidomain(domain(X_878)),
    inference(resolve,[$cnf( $equal(addition(coantidomain(domain(X_878)),multiplication(antidomain(X_878),coantidomain(antidomain(X_878)))),multiplication(antidomain(X_878),coantidomain(domain(X_878)))) )],[refute_0_1010,refute_0_1164]) ).

cnf(refute_0_1166,plain,
    ( antidomain(X_878) != coantidomain(domain(X_878))
    | coantidomain(domain(X_878)) = antidomain(X_878) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(antidomain(X_878))),bind(Y,$fot(coantidomain(domain(X_878))))]]) ).

cnf(refute_0_1167,plain,
    coantidomain(domain(X_878)) = antidomain(X_878),
    inference(resolve,[$cnf( $equal(antidomain(X_878),coantidomain(domain(X_878))) )],[refute_0_1165,refute_0_1166]) ).

cnf(refute_0_1168,plain,
    coantidomain(domain(X_841)) = antidomain(X_841),
    inference(subst,[],[refute_0_1167:[bind(X_878,$fot(X_841))]]) ).

cnf(refute_0_1169,plain,
    addition(A,coantidomain(domain(X_841))) = addition(A,coantidomain(domain(X_841))),
    introduced(tautology,[refl,[$fot(addition(A,coantidomain(domain(X_841))))]]) ).

cnf(refute_0_1170,plain,
    ( addition(A,coantidomain(domain(X_841))) != addition(A,coantidomain(domain(X_841)))
    | coantidomain(domain(X_841)) != antidomain(X_841)
    | addition(A,coantidomain(domain(X_841))) = addition(A,antidomain(X_841)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,coantidomain(domain(X_841))),addition(A,coantidomain(domain(X_841)))) ),[1,1],$fot(antidomain(X_841))]]) ).

cnf(refute_0_1171,plain,
    ( coantidomain(domain(X_841)) != antidomain(X_841)
    | addition(A,coantidomain(domain(X_841))) = addition(A,antidomain(X_841)) ),
    inference(resolve,[$cnf( $equal(addition(A,coantidomain(domain(X_841))),addition(A,coantidomain(domain(X_841)))) )],[refute_0_1169,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    addition(A,coantidomain(domain(X_841))) = addition(A,antidomain(X_841)),
    inference(resolve,[$cnf( $equal(coantidomain(domain(X_841)),antidomain(X_841)) )],[refute_0_1168,refute_0_1171]) ).

cnf(refute_0_1173,plain,
    ( addition(A,coantidomain(domain(X_841))) != addition(A,antidomain(X_841))
    | addition(A,coantidomain(domain(X_841))) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(A,antidomain(X_841)) = addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,coantidomain(domain(X_841))),addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))) ),[0],$fot(addition(A,antidomain(X_841)))]]) ).

cnf(refute_0_1174,plain,
    ( addition(A,coantidomain(domain(X_841))) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(A,antidomain(X_841)) = addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) ),
    inference(resolve,[$cnf( $equal(addition(A,coantidomain(domain(X_841))),addition(A,antidomain(X_841))) )],[refute_0_1172,refute_0_1173]) ).

cnf(refute_0_1175,plain,
    addition(antidomain(X_841),addition(antidomain(X_841),A)) = addition(antidomain(X_841),A),
    inference(subst,[],[refute_0_1077:[bind(X_160,$fot(antidomain(X_841))),bind(X_161,$fot(A))]]) ).

cnf(refute_0_1176,plain,
    addition(coantidomain(domain(X_841)),A) = addition(coantidomain(domain(X_841)),A),
    introduced(tautology,[refl,[$fot(addition(coantidomain(domain(X_841)),A))]]) ).

cnf(refute_0_1177,plain,
    ( addition(coantidomain(domain(X_841)),A) != addition(coantidomain(domain(X_841)),A)
    | coantidomain(domain(X_841)) != antidomain(X_841)
    | addition(coantidomain(domain(X_841)),A) = addition(antidomain(X_841),A) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(domain(X_841)),A),addition(coantidomain(domain(X_841)),A)) ),[1,0],$fot(antidomain(X_841))]]) ).

cnf(refute_0_1178,plain,
    ( coantidomain(domain(X_841)) != antidomain(X_841)
    | addition(coantidomain(domain(X_841)),A) = addition(antidomain(X_841),A) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(domain(X_841)),A),addition(coantidomain(domain(X_841)),A)) )],[refute_0_1176,refute_0_1177]) ).

cnf(refute_0_1179,plain,
    addition(coantidomain(domain(X_841)),A) = addition(antidomain(X_841),A),
    inference(resolve,[$cnf( $equal(coantidomain(domain(X_841)),antidomain(X_841)) )],[refute_0_1168,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)),
    introduced(tautology,[refl,[$fot(addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)))]]) ).

cnf(refute_0_1181,plain,
    ( addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(coantidomain(domain(X_841)),A) != addition(antidomain(X_841),A)
    | addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(antidomain(X_841),addition(antidomain(X_841),A)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)),addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))) ),[1,1],$fot(addition(antidomain(X_841),A))]]) ).

cnf(refute_0_1182,plain,
    ( addition(coantidomain(domain(X_841)),A) != addition(antidomain(X_841),A)
    | addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(antidomain(X_841),addition(antidomain(X_841),A)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)),addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))) )],[refute_0_1180,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(antidomain(X_841),addition(antidomain(X_841),A)),
    inference(resolve,[$cnf( $equal(addition(coantidomain(domain(X_841)),A),addition(antidomain(X_841),A)) )],[refute_0_1179,refute_0_1182]) ).

cnf(refute_0_1184,plain,
    ( addition(antidomain(X_841),addition(antidomain(X_841),A)) != addition(antidomain(X_841),A)
    | addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) != addition(antidomain(X_841),addition(antidomain(X_841),A))
    | addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(antidomain(X_841),A) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)))),bind(Y,$fot(addition(antidomain(X_841),addition(antidomain(X_841),A)))),bind(Z,$fot(addition(antidomain(X_841),A)))]]) ).

cnf(refute_0_1185,plain,
    ( addition(antidomain(X_841),addition(antidomain(X_841),A)) != addition(antidomain(X_841),A)
    | addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(antidomain(X_841),A) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)),addition(antidomain(X_841),addition(antidomain(X_841),A))) )],[refute_0_1183,refute_0_1184]) ).

cnf(refute_0_1186,plain,
    addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) = addition(antidomain(X_841),A),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_841),addition(antidomain(X_841),A)),addition(antidomain(X_841),A)) )],[refute_0_1175,refute_0_1185]) ).

cnf(refute_0_1187,plain,
    ( addition(A,antidomain(X_841)) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)) != addition(antidomain(X_841),A)
    | addition(A,antidomain(X_841)) = addition(antidomain(X_841),A) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,antidomain(X_841)),addition(antidomain(X_841),A)) ),[0],$fot(addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)))]]) ).

cnf(refute_0_1188,plain,
    ( addition(A,antidomain(X_841)) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(A,antidomain(X_841)) = addition(antidomain(X_841),A) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A)),addition(antidomain(X_841),A)) )],[refute_0_1186,refute_0_1187]) ).

cnf(refute_0_1189,plain,
    ( addition(A,coantidomain(domain(X_841))) != addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))
    | addition(A,antidomain(X_841)) = addition(antidomain(X_841),A) ),
    inference(resolve,[$cnf( $equal(addition(A,antidomain(X_841)),addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))) )],[refute_0_1174,refute_0_1188]) ).

cnf(refute_0_1190,plain,
    addition(A,antidomain(X_841)) = addition(antidomain(X_841),A),
    inference(resolve,[$cnf( $equal(addition(A,coantidomain(domain(X_841))),addition(antidomain(X_841),addition(coantidomain(domain(X_841)),A))) )],[refute_0_979,refute_0_1189]) ).

cnf(refute_0_1191,plain,
    addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0)) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),
    inference(subst,[],[refute_0_1190:[bind(A,$fot(domain(sK1_goals_X1))),bind(X_841,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_1192,plain,
    antidomain(domain(sK2_goals_X0)) = antidomain(sK2_goals_X0),
    inference(subst,[],[refute_0_559:[bind(X0,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_1193,plain,
    addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) = addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),
    introduced(tautology,[refl,[$fot(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))))]]) ).

cnf(refute_0_1194,plain,
    ( addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) != addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0)))
    | antidomain(domain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) = addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0)))) ),[1,1],$fot(antidomain(sK2_goals_X0))]]) ).

cnf(refute_0_1195,plain,
    ( antidomain(domain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) = addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0)))) )],[refute_0_1193,refute_0_1194]) ).

cnf(refute_0_1196,plain,
    addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) = addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(antidomain(domain(sK2_goals_X0)),antidomain(sK2_goals_X0)) )],[refute_0_1192,refute_0_1195]) ).

cnf(refute_0_1197,plain,
    ( addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) != addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0))
    | addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0)) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))))),bind(Y,$fot(addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0)))),bind(Z,$fot(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))))]]) ).

cnf(refute_0_1198,plain,
    ( addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0)) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0))) )],[refute_0_1196,refute_0_1197]) ).

cnf(refute_0_1199,plain,
    addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),antidomain(sK2_goals_X0)),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))) )],[refute_0_1191,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))),
    introduced(tautology,[refl,[$fot(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))))]]) ).

cnf(refute_0_1201,plain,
    ( addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) != multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0)))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))),multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0)))) ),[1,0],$fot(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)))]]) ).

cnf(refute_0_1202,plain,
    ( addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))),multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0)))) )],[refute_0_1200,refute_0_1201]) ).

cnf(refute_0_1203,plain,
    multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))) )],[refute_0_1199,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    ( multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) != multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one)
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) != multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0)))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))))),bind(Y,$fot(multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))))),bind(Z,$fot(multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one)))]]) ).

cnf(refute_0_1205,plain,
    ( multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))) != multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one)
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))),multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0)))) )],[refute_0_1203,refute_0_1204]) ).

cnf(refute_0_1206,plain,
    multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(one,domain(sK2_goals_X0))),multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one)) )],[refute_0_833,refute_0_1205]) ).

cnf(refute_0_1207,plain,
    ( multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) != multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one)
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))))),bind(Y,$fot(multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one))),bind(Z,$fot(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))))]]) ).

cnf(refute_0_1208,plain,
    ( multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))),multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one)) )],[refute_0_1206,refute_0_1207]) ).

cnf(refute_0_1209,plain,
    multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))) )],[refute_0_828,refute_0_1208]) ).

cnf(refute_0_1210,plain,
    ifeq(leq(X_27,X_28),true,addition(X_27,X_28),X_28) = X_28,
    inference(subst,[],[order_1:[bind(A,$fot(X_27)),bind(B,$fot(X_28))]]) ).

cnf(refute_0_1211,plain,
    addition(X_28,X_27) = addition(X_27,X_28),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(X_28)),bind(B,$fot(X_27))]]) ).

cnf(refute_0_1212,plain,
    ( addition(X_28,X_27) != addition(X_27,X_28)
    | addition(X_27,X_28) = addition(X_28,X_27) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_28,X_27))),bind(Y,$fot(addition(X_27,X_28)))]]) ).

cnf(refute_0_1213,plain,
    addition(X_27,X_28) = addition(X_28,X_27),
    inference(resolve,[$cnf( $equal(addition(X_28,X_27),addition(X_27,X_28)) )],[refute_0_1211,refute_0_1212]) ).

cnf(refute_0_1214,plain,
    ( addition(X_27,X_28) != addition(X_28,X_27)
    | ifeq(leq(X_27,X_28),true,addition(X_27,X_28),X_28) != X_28
    | ifeq(leq(X_27,X_28),true,addition(X_28,X_27),X_28) = X_28 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(X_27,X_28),true,addition(X_27,X_28),X_28),X_28) ),[0,2],$fot(addition(X_28,X_27))]]) ).

cnf(refute_0_1215,plain,
    ( ifeq(leq(X_27,X_28),true,addition(X_27,X_28),X_28) != X_28
    | ifeq(leq(X_27,X_28),true,addition(X_28,X_27),X_28) = X_28 ),
    inference(resolve,[$cnf( $equal(addition(X_27,X_28),addition(X_28,X_27)) )],[refute_0_1213,refute_0_1214]) ).

cnf(refute_0_1216,plain,
    ifeq(leq(X_27,X_28),true,addition(X_28,X_27),X_28) = X_28,
    inference(resolve,[$cnf( $equal(ifeq(leq(X_27,X_28),true,addition(X_27,X_28),X_28),X_28) )],[refute_0_1210,refute_0_1215]) ).

cnf(refute_0_1217,plain,
    ifeq(leq(addition(X_28,X_528),X_28),true,addition(X_28,addition(X_28,X_528)),X_28) = X_28,
    inference(subst,[],[refute_0_1216:[bind(X_27,$fot(addition(X_28,X_528)))]]) ).

cnf(refute_0_1218,plain,
    addition(X_28,addition(X_28,X_528)) = addition(X_28,X_528),
    inference(subst,[],[refute_0_1077:[bind(X_160,$fot(X_28)),bind(X_161,$fot(X_528))]]) ).

cnf(refute_0_1219,plain,
    ( addition(X_28,addition(X_28,X_528)) != addition(X_28,X_528)
    | ifeq(leq(addition(X_28,X_528),X_28),true,addition(X_28,addition(X_28,X_528)),X_28) != X_28
    | ifeq(leq(addition(X_28,X_528),X_28),true,addition(X_28,X_528),X_28) = X_28 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(X_28,X_528),X_28),true,addition(X_28,addition(X_28,X_528)),X_28),X_28) ),[0,2],$fot(addition(X_28,X_528))]]) ).

cnf(refute_0_1220,plain,
    ( ifeq(leq(addition(X_28,X_528),X_28),true,addition(X_28,addition(X_28,X_528)),X_28) != X_28
    | ifeq(leq(addition(X_28,X_528),X_28),true,addition(X_28,X_528),X_28) = X_28 ),
    inference(resolve,[$cnf( $equal(addition(X_28,addition(X_28,X_528)),addition(X_28,X_528)) )],[refute_0_1218,refute_0_1219]) ).

cnf(refute_0_1221,plain,
    ifeq(leq(addition(X_28,X_528),X_28),true,addition(X_28,X_528),X_28) = X_28,
    inference(resolve,[$cnf( $equal(ifeq(leq(addition(X_28,X_528),X_28),true,addition(X_28,addition(X_28,X_528)),X_28),X_28) )],[refute_0_1217,refute_0_1220]) ).

cnf(refute_0_1222,plain,
    ifeq(leq(addition(X_529,X_530),X_529),true,addition(X_529,X_530),X_529) = X_529,
    inference(subst,[],[refute_0_1221:[bind(X_28,$fot(X_529)),bind(X_528,$fot(X_530))]]) ).

cnf(refute_0_1223,plain,
    addition(X_530,X_529) = addition(X_529,X_530),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(X_530)),bind(B,$fot(X_529))]]) ).

cnf(refute_0_1224,plain,
    ( addition(X_530,X_529) != addition(X_529,X_530)
    | addition(X_529,X_530) = addition(X_530,X_529) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_530,X_529))),bind(Y,$fot(addition(X_529,X_530)))]]) ).

cnf(refute_0_1225,plain,
    addition(X_529,X_530) = addition(X_530,X_529),
    inference(resolve,[$cnf( $equal(addition(X_530,X_529),addition(X_529,X_530)) )],[refute_0_1223,refute_0_1224]) ).

cnf(refute_0_1226,plain,
    ( addition(X_529,X_530) != addition(X_530,X_529)
    | ifeq(leq(addition(X_529,X_530),X_529),true,addition(X_529,X_530),X_529) != X_529
    | ifeq(leq(addition(X_530,X_529),X_529),true,addition(X_529,X_530),X_529) = X_529 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(X_529,X_530),X_529),true,addition(X_529,X_530),X_529),X_529) ),[0,0,0],$fot(addition(X_530,X_529))]]) ).

cnf(refute_0_1227,plain,
    ( ifeq(leq(addition(X_529,X_530),X_529),true,addition(X_529,X_530),X_529) != X_529
    | ifeq(leq(addition(X_530,X_529),X_529),true,addition(X_529,X_530),X_529) = X_529 ),
    inference(resolve,[$cnf( $equal(addition(X_529,X_530),addition(X_530,X_529)) )],[refute_0_1225,refute_0_1226]) ).

cnf(refute_0_1228,plain,
    ifeq(leq(addition(X_530,X_529),X_529),true,addition(X_529,X_530),X_529) = X_529,
    inference(resolve,[$cnf( $equal(ifeq(leq(addition(X_529,X_530),X_529),true,addition(X_529,X_530),X_529),X_529) )],[refute_0_1222,refute_0_1227]) ).

cnf(refute_0_1229,plain,
    ifeq(leq(addition(X_530,multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(one,X_1321)),
    inference(subst,[],[refute_0_1228:[bind(X_529,$fot(multiplication(X_530,addition(one,X_1321))))]]) ).

cnf(refute_0_1230,plain,
    multiplication(X_215,addition(one,addition(X_245,one))) = addition(X_215,multiplication(X_215,addition(X_245,one))),
    inference(subst,[],[refute_0_845:[bind(X_217,$fot(addition(X_245,one)))]]) ).

cnf(refute_0_1231,plain,
    multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(X_216,one)) = addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)),
    inference(subst,[],[refute_0_182:[bind(X_215,$fot(addition(X_243,antidomain(addition(X_216,one)))))]]) ).

cnf(refute_0_1232,plain,
    multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(X_216,one)) = multiplication(X_243,addition(X_216,one)),
    inference(subst,[],[refute_0_191:[bind(X_72,$fot(X_243)),bind(X_74,$fot(addition(X_216,one)))]]) ).

cnf(refute_0_1233,plain,
    ( multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(X_216,one)) != addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216))
    | multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(X_216,one)) != multiplication(X_243,addition(X_216,one))
    | multiplication(X_243,addition(X_216,one)) = addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(X_216,one)),addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216))) ),[0],$fot(multiplication(X_243,addition(X_216,one)))]]) ).

cnf(refute_0_1234,plain,
    ( multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(X_216,one)) != addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216))
    | multiplication(X_243,addition(X_216,one)) = addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(X_216,one)),multiplication(X_243,addition(X_216,one))) )],[refute_0_1232,refute_0_1233]) ).

cnf(refute_0_1235,plain,
    multiplication(X_243,addition(X_216,one)) = addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(X_216,one)),addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216))) )],[refute_0_1231,refute_0_1234]) ).

cnf(refute_0_1236,plain,
    addition(X_243,zero) = X_243,
    inference(subst,[],[additive_identity:[bind(A,$fot(X_243))]]) ).

cnf(refute_0_1237,plain,
    ifeq(leq(antidomain(domain(X_100)),antidomain(X_100)),true,addition(antidomain(X_100),antidomain(domain(X_100))),antidomain(X_100)) = antidomain(X_100),
    inference(subst,[],[refute_0_1216:[bind(X_27,$fot(antidomain(domain(X_100)))),bind(X_28,$fot(antidomain(X_100)))]]) ).

cnf(refute_0_1238,plain,
    addition(antidomain(X_100),antidomain(domain(X_100))) = antidomain(domain(X_100)),
    inference(subst,[],[refute_0_879:[bind(X_99,$fot(X_100))]]) ).

cnf(refute_0_1239,plain,
    ( addition(antidomain(X_100),antidomain(domain(X_100))) != antidomain(domain(X_100))
    | ifeq(leq(antidomain(domain(X_100)),antidomain(X_100)),true,addition(antidomain(X_100),antidomain(domain(X_100))),antidomain(X_100)) != antidomain(X_100)
    | ifeq(leq(antidomain(domain(X_100)),antidomain(X_100)),true,antidomain(domain(X_100)),antidomain(X_100)) = antidomain(X_100) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(antidomain(domain(X_100)),antidomain(X_100)),true,addition(antidomain(X_100),antidomain(domain(X_100))),antidomain(X_100)),antidomain(X_100)) ),[0,2],$fot(antidomain(domain(X_100)))]]) ).

cnf(refute_0_1240,plain,
    ( ifeq(leq(antidomain(domain(X_100)),antidomain(X_100)),true,addition(antidomain(X_100),antidomain(domain(X_100))),antidomain(X_100)) != antidomain(X_100)
    | ifeq(leq(antidomain(domain(X_100)),antidomain(X_100)),true,antidomain(domain(X_100)),antidomain(X_100)) = antidomain(X_100) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_100),antidomain(domain(X_100))),antidomain(domain(X_100))) )],[refute_0_1238,refute_0_1239]) ).

cnf(refute_0_1241,plain,
    ifeq(leq(antidomain(domain(X_100)),antidomain(X_100)),true,antidomain(domain(X_100)),antidomain(X_100)) = antidomain(X_100),
    inference(resolve,[$cnf( $equal(ifeq(leq(antidomain(domain(X_100)),antidomain(X_100)),true,addition(antidomain(X_100),antidomain(domain(X_100))),antidomain(X_100)),antidomain(X_100)) )],[refute_0_1237,refute_0_1240]) ).

cnf(refute_0_1242,plain,
    ifeq(leq(antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = antidomain(addition(X_221,one)),
    inference(subst,[],[refute_0_1241:[bind(X_100,$fot(addition(X_221,one)))]]) ).

cnf(refute_0_1243,plain,
    multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) = addition(antidomain(domain(addition(X_220,one))),multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220))),
    inference(subst,[],[refute_0_182:[bind(X_215,$fot(antidomain(domain(addition(X_220,one))))),bind(X_216,$fot(addition(one,X_220)))]]) ).

cnf(refute_0_1244,plain,
    multiplication(antidomain(domain(addition(X_219,one))),addition(X_219,one)) = addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219)),
    inference(subst,[],[refute_0_182:[bind(X_215,$fot(antidomain(domain(addition(X_219,one))))),bind(X_216,$fot(X_219))]]) ).

cnf(refute_0_1245,plain,
    multiplication(antidomain(domain(X_58)),multiplication(domain(X_58),X_58)) = zero,
    inference(subst,[],[refute_0_25:[bind(X_57,$fot(domain(X_58)))]]) ).

cnf(refute_0_1246,plain,
    X_58 = multiplication(domain(X_58),X_58),
    inference(subst,[],[refute_0_149:[bind(X_76,$fot(X_58))]]) ).

cnf(refute_0_1247,plain,
    ( X_58 != multiplication(domain(X_58),X_58)
    | multiplication(domain(X_58),X_58) = X_58 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_58)),bind(Y,$fot(multiplication(domain(X_58),X_58)))]]) ).

cnf(refute_0_1248,plain,
    multiplication(domain(X_58),X_58) = X_58,
    inference(resolve,[$cnf( $equal(X_58,multiplication(domain(X_58),X_58)) )],[refute_0_1246,refute_0_1247]) ).

cnf(refute_0_1249,plain,
    ( multiplication(antidomain(domain(X_58)),multiplication(domain(X_58),X_58)) != zero
    | multiplication(domain(X_58),X_58) != X_58
    | multiplication(antidomain(domain(X_58)),X_58) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_58)),multiplication(domain(X_58),X_58)),zero) ),[0,1],$fot(X_58)]]) ).

cnf(refute_0_1250,plain,
    ( multiplication(antidomain(domain(X_58)),multiplication(domain(X_58),X_58)) != zero
    | multiplication(antidomain(domain(X_58)),X_58) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_58),X_58),X_58) )],[refute_0_1248,refute_0_1249]) ).

cnf(refute_0_1251,plain,
    multiplication(antidomain(domain(X_58)),X_58) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_58)),multiplication(domain(X_58),X_58)),zero) )],[refute_0_1245,refute_0_1250]) ).

cnf(refute_0_1252,plain,
    multiplication(antidomain(domain(addition(X_219,one))),addition(X_219,one)) = zero,
    inference(subst,[],[refute_0_1251:[bind(X_58,$fot(addition(X_219,one)))]]) ).

cnf(refute_0_1253,plain,
    ( multiplication(antidomain(domain(addition(X_219,one))),addition(X_219,one)) != addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219))
    | multiplication(antidomain(domain(addition(X_219,one))),addition(X_219,one)) != zero
    | zero = addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(addition(X_219,one))),addition(X_219,one)),addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219))) ),[0],$fot(zero)]]) ).

cnf(refute_0_1254,plain,
    ( multiplication(antidomain(domain(addition(X_219,one))),addition(X_219,one)) != addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219))
    | zero = addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_219,one))),addition(X_219,one)),zero) )],[refute_0_1252,refute_0_1253]) ).

cnf(refute_0_1255,plain,
    zero = addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_219,one))),addition(X_219,one)),addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219))) )],[refute_0_1244,refute_0_1254]) ).

cnf(refute_0_1256,plain,
    multiplication(X_218,addition(X_219,one)) = addition(X_218,multiplication(X_218,X_219)),
    inference(subst,[],[refute_0_182:[bind(X_215,$fot(X_218)),bind(X_216,$fot(X_219))]]) ).

cnf(refute_0_1257,plain,
    addition(one,X_219) = addition(X_219,one),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(one)),bind(B,$fot(X_219))]]) ).

cnf(refute_0_1258,plain,
    ( addition(one,X_219) != addition(X_219,one)
    | addition(X_219,one) = addition(one,X_219) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(one,X_219))),bind(Y,$fot(addition(X_219,one)))]]) ).

cnf(refute_0_1259,plain,
    addition(X_219,one) = addition(one,X_219),
    inference(resolve,[$cnf( $equal(addition(one,X_219),addition(X_219,one)) )],[refute_0_1257,refute_0_1258]) ).

cnf(refute_0_1260,plain,
    ( addition(X_219,one) != addition(one,X_219)
    | multiplication(X_218,addition(X_219,one)) != addition(X_218,multiplication(X_218,X_219))
    | multiplication(X_218,addition(one,X_219)) = addition(X_218,multiplication(X_218,X_219)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_218,addition(X_219,one)),addition(X_218,multiplication(X_218,X_219))) ),[0,1],$fot(addition(one,X_219))]]) ).

cnf(refute_0_1261,plain,
    ( multiplication(X_218,addition(X_219,one)) != addition(X_218,multiplication(X_218,X_219))
    | multiplication(X_218,addition(one,X_219)) = addition(X_218,multiplication(X_218,X_219)) ),
    inference(resolve,[$cnf( $equal(addition(X_219,one),addition(one,X_219)) )],[refute_0_1259,refute_0_1260]) ).

cnf(refute_0_1262,plain,
    multiplication(X_218,addition(one,X_219)) = addition(X_218,multiplication(X_218,X_219)),
    inference(resolve,[$cnf( $equal(multiplication(X_218,addition(X_219,one)),addition(X_218,multiplication(X_218,X_219))) )],[refute_0_1256,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    ( multiplication(X_218,addition(one,X_219)) != addition(X_218,multiplication(X_218,X_219))
    | addition(X_218,multiplication(X_218,X_219)) = multiplication(X_218,addition(one,X_219)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(X_218,addition(one,X_219)))),bind(Y,$fot(addition(X_218,multiplication(X_218,X_219))))]]) ).

cnf(refute_0_1264,plain,
    addition(X_218,multiplication(X_218,X_219)) = multiplication(X_218,addition(one,X_219)),
    inference(resolve,[$cnf( $equal(multiplication(X_218,addition(one,X_219)),addition(X_218,multiplication(X_218,X_219))) )],[refute_0_1262,refute_0_1263]) ).

cnf(refute_0_1265,plain,
    addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219)) = multiplication(antidomain(domain(addition(X_219,one))),addition(one,X_219)),
    inference(subst,[],[refute_0_1264:[bind(X_218,$fot(antidomain(domain(addition(X_219,one)))))]]) ).

cnf(refute_0_1266,plain,
    ( addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219)) != multiplication(antidomain(domain(addition(X_219,one))),addition(one,X_219))
    | zero != addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219))
    | zero = multiplication(antidomain(domain(addition(X_219,one))),addition(one,X_219)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219))) ),[1],$fot(multiplication(antidomain(domain(addition(X_219,one))),addition(one,X_219)))]]) ).

cnf(refute_0_1267,plain,
    ( zero != addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219))
    | zero = multiplication(antidomain(domain(addition(X_219,one))),addition(one,X_219)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219)),multiplication(antidomain(domain(addition(X_219,one))),addition(one,X_219))) )],[refute_0_1265,refute_0_1266]) ).

cnf(refute_0_1268,plain,
    zero = multiplication(antidomain(domain(addition(X_219,one))),addition(one,X_219)),
    inference(resolve,[$cnf( $equal(zero,addition(antidomain(domain(addition(X_219,one))),multiplication(antidomain(domain(addition(X_219,one))),X_219))) )],[refute_0_1255,refute_0_1267]) ).

cnf(refute_0_1269,plain,
    zero = multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)),
    inference(subst,[],[refute_0_1268:[bind(X_219,$fot(X_220))]]) ).

cnf(refute_0_1270,plain,
    ( zero != multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220))
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220))))]]) ).

cnf(refute_0_1271,plain,
    multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)) = zero,
    inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220))) )],[refute_0_1269,refute_0_1270]) ).

cnf(refute_0_1272,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) != addition(antidomain(domain(addition(X_220,one))),multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)))
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)) != zero
    | multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) = addition(antidomain(domain(addition(X_220,one))),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)),addition(antidomain(domain(addition(X_220,one))),multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1273,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) != addition(antidomain(domain(addition(X_220,one))),multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)))
    | multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) = addition(antidomain(domain(addition(X_220,one))),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)),zero) )],[refute_0_1271,refute_0_1272]) ).

cnf(refute_0_1274,plain,
    multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) = addition(antidomain(domain(addition(X_220,one))),zero),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)),addition(antidomain(domain(addition(X_220,one))),multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)))) )],[refute_0_1243,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    addition(one,addition(one,X_220)) = addition(one,X_220),
    inference(subst,[],[refute_0_1077:[bind(X_160,$fot(one)),bind(X_161,$fot(X_220))]]) ).

cnf(refute_0_1276,plain,
    multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) = multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))))]]) ).

cnf(refute_0_1277,plain,
    ( addition(one,addition(one,X_220)) != addition(one,X_220)
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) != multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220)))
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) = multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))),multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220)))) ),[1,1],$fot(addition(one,X_220))]]) ).

cnf(refute_0_1278,plain,
    ( addition(one,addition(one,X_220)) != addition(one,X_220)
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) = multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))),multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220)))) )],[refute_0_1276,refute_0_1277]) ).

cnf(refute_0_1279,plain,
    multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) = multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)),
    inference(resolve,[$cnf( $equal(addition(one,addition(one,X_220)),addition(one,X_220)) )],[refute_0_1275,refute_0_1278]) ).

cnf(refute_0_1280,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)) != zero
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) != multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220))
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) = zero ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))))),bind(Y,$fot(multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1281,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)) != zero
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))),multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220))) )],[refute_0_1279,refute_0_1280]) ).

cnf(refute_0_1282,plain,
    multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(one,X_220)),zero) )],[refute_0_1271,refute_0_1281]) ).

cnf(refute_0_1283,plain,
    addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) = addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)),
    inference(subst,[],[refute_0_882:[bind(X_161,$fot(multiplication(antidomain(domain(X_99)),X_219)))]]) ).

cnf(refute_0_1284,plain,
    multiplication(antidomain(domain(X_99)),addition(X_219,one)) = addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)),
    inference(subst,[],[refute_0_182:[bind(X_215,$fot(antidomain(domain(X_99)))),bind(X_216,$fot(X_219))]]) ).

cnf(refute_0_1285,plain,
    ( multiplication(antidomain(domain(X_99)),addition(X_219,one)) != addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))
    | addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)) = multiplication(antidomain(domain(X_99)),addition(X_219,one)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(antidomain(domain(X_99)),addition(X_219,one)))),bind(Y,$fot(addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))))]]) ).

cnf(refute_0_1286,plain,
    addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)) = multiplication(antidomain(domain(X_99)),addition(X_219,one)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_99)),addition(X_219,one)),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) )],[refute_0_1284,refute_0_1285]) ).

cnf(refute_0_1287,plain,
    ( addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) != addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))
    | addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)) != multiplication(antidomain(domain(X_99)),addition(X_219,one))
    | addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) = multiplication(antidomain(domain(X_99)),addition(X_219,one)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))),multiplication(antidomain(domain(X_99)),addition(X_219,one))) ),[0],$fot(addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)))]]) ).

cnf(refute_0_1288,plain,
    ( addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) != addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))
    | addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) = multiplication(antidomain(domain(X_99)),addition(X_219,one)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)),multiplication(antidomain(domain(X_99)),addition(X_219,one))) )],[refute_0_1286,refute_0_1287]) ).

cnf(refute_0_1289,plain,
    addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) = multiplication(antidomain(domain(X_99)),addition(X_219,one)),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) )],[refute_0_1283,refute_0_1288]) ).

cnf(refute_0_1290,plain,
    ( multiplication(X_215,addition(one,X_217)) != addition(X_215,multiplication(X_215,X_217))
    | addition(X_215,multiplication(X_215,X_217)) = multiplication(X_215,addition(one,X_217)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(X_215,addition(one,X_217)))),bind(Y,$fot(addition(X_215,multiplication(X_215,X_217))))]]) ).

cnf(refute_0_1291,plain,
    addition(X_215,multiplication(X_215,X_217)) = multiplication(X_215,addition(one,X_217)),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,X_217)),addition(X_215,multiplication(X_215,X_217))) )],[refute_0_845,refute_0_1290]) ).

cnf(refute_0_1292,plain,
    addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)) = multiplication(antidomain(domain(X_99)),addition(one,X_219)),
    inference(subst,[],[refute_0_1291:[bind(X_215,$fot(antidomain(domain(X_99)))),bind(X_217,$fot(X_219))]]) ).

cnf(refute_0_1293,plain,
    ( addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) != addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))
    | addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)) != multiplication(antidomain(domain(X_99)),addition(one,X_219))
    | addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) = multiplication(antidomain(domain(X_99)),addition(one,X_219)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))))),bind(Y,$fot(addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)))),bind(Z,$fot(multiplication(antidomain(domain(X_99)),addition(one,X_219))))]]) ).

cnf(refute_0_1294,plain,
    ( addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)) != multiplication(antidomain(domain(X_99)),addition(one,X_219))
    | addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) = multiplication(antidomain(domain(X_99)),addition(one,X_219)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) )],[refute_0_1283,refute_0_1293]) ).

cnf(refute_0_1295,plain,
    addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) = multiplication(antidomain(domain(X_99)),addition(one,X_219)),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219)),multiplication(antidomain(domain(X_99)),addition(one,X_219))) )],[refute_0_1292,refute_0_1294]) ).

cnf(refute_0_1296,plain,
    ( addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) != multiplication(antidomain(domain(X_99)),addition(X_219,one))
    | addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) != multiplication(antidomain(domain(X_99)),addition(one,X_219))
    | multiplication(antidomain(domain(X_99)),addition(one,X_219)) = multiplication(antidomain(domain(X_99)),addition(X_219,one)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))),multiplication(antidomain(domain(X_99)),addition(X_219,one))) ),[0],$fot(multiplication(antidomain(domain(X_99)),addition(one,X_219)))]]) ).

cnf(refute_0_1297,plain,
    ( addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))) != multiplication(antidomain(domain(X_99)),addition(X_219,one))
    | multiplication(antidomain(domain(X_99)),addition(one,X_219)) = multiplication(antidomain(domain(X_99)),addition(X_219,one)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))),multiplication(antidomain(domain(X_99)),addition(one,X_219))) )],[refute_0_1295,refute_0_1296]) ).

cnf(refute_0_1298,plain,
    multiplication(antidomain(domain(X_99)),addition(one,X_219)) = multiplication(antidomain(domain(X_99)),addition(X_219,one)),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_99),addition(antidomain(domain(X_99)),multiplication(antidomain(domain(X_99)),X_219))),multiplication(antidomain(domain(X_99)),addition(X_219,one))) )],[refute_0_1289,refute_0_1297]) ).

cnf(refute_0_1299,plain,
    ( multiplication(antidomain(domain(X_99)),addition(one,X_219)) != multiplication(antidomain(domain(X_99)),addition(X_219,one))
    | multiplication(antidomain(domain(X_99)),addition(X_219,one)) = multiplication(antidomain(domain(X_99)),addition(one,X_219)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(antidomain(domain(X_99)),addition(one,X_219)))),bind(Y,$fot(multiplication(antidomain(domain(X_99)),addition(X_219,one))))]]) ).

cnf(refute_0_1300,plain,
    multiplication(antidomain(domain(X_99)),addition(X_219,one)) = multiplication(antidomain(domain(X_99)),addition(one,X_219)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_99)),addition(one,X_219)),multiplication(antidomain(domain(X_99)),addition(X_219,one))) )],[refute_0_1298,refute_0_1299]) ).

cnf(refute_0_1301,plain,
    multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) = multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))),
    inference(subst,[],[refute_0_1300:[bind(X_219,$fot(addition(one,X_220))),bind(X_99,$fot(addition(X_220,one)))]]) ).

cnf(refute_0_1302,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) != multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220)))
    | multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) != zero
    | multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) = zero ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)))),bind(Y,$fot(multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1303,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))) != zero
    | multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)),multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220)))) )],[refute_0_1301,refute_0_1302]) ).

cnf(refute_0_1304,plain,
    multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(one,addition(one,X_220))),zero) )],[refute_0_1282,refute_0_1303]) ).

cnf(refute_0_1305,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) != addition(antidomain(domain(addition(X_220,one))),zero)
    | multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) != zero
    | zero = addition(antidomain(domain(addition(X_220,one))),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)),addition(antidomain(domain(addition(X_220,one))),zero)) ),[0],$fot(zero)]]) ).

cnf(refute_0_1306,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) != addition(antidomain(domain(addition(X_220,one))),zero)
    | zero = addition(antidomain(domain(addition(X_220,one))),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)),zero) )],[refute_0_1304,refute_0_1305]) ).

cnf(refute_0_1307,plain,
    addition(antidomain(domain(addition(X_220,one))),zero) = antidomain(domain(addition(X_220,one))),
    inference(subst,[],[additive_identity:[bind(A,$fot(antidomain(domain(addition(X_220,one)))))]]) ).

cnf(refute_0_1308,plain,
    ( addition(antidomain(domain(addition(X_220,one))),zero) != antidomain(domain(addition(X_220,one)))
    | zero != addition(antidomain(domain(addition(X_220,one))),zero)
    | zero = antidomain(domain(addition(X_220,one))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,addition(antidomain(domain(addition(X_220,one))),zero)) ),[1],$fot(antidomain(domain(addition(X_220,one))))]]) ).

cnf(refute_0_1309,plain,
    ( zero != addition(antidomain(domain(addition(X_220,one))),zero)
    | zero = antidomain(domain(addition(X_220,one))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(domain(addition(X_220,one))),zero),antidomain(domain(addition(X_220,one)))) )],[refute_0_1307,refute_0_1308]) ).

cnf(refute_0_1310,plain,
    ( multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)) != addition(antidomain(domain(addition(X_220,one))),zero)
    | zero = antidomain(domain(addition(X_220,one))) ),
    inference(resolve,[$cnf( $equal(zero,addition(antidomain(domain(addition(X_220,one))),zero)) )],[refute_0_1306,refute_0_1309]) ).

cnf(refute_0_1311,plain,
    zero = antidomain(domain(addition(X_220,one))),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(addition(X_220,one))),addition(addition(one,X_220),one)),addition(antidomain(domain(addition(X_220,one))),zero)) )],[refute_0_1274,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    zero = antidomain(domain(addition(X_221,one))),
    inference(subst,[],[refute_0_1311:[bind(X_220,$fot(X_221))]]) ).

cnf(refute_0_1313,plain,
    ( zero != antidomain(domain(addition(X_221,one)))
    | antidomain(domain(addition(X_221,one))) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(domain(addition(X_221,one)))))]]) ).

cnf(refute_0_1314,plain,
    antidomain(domain(addition(X_221,one))) = zero,
    inference(resolve,[$cnf( $equal(zero,antidomain(domain(addition(X_221,one)))) )],[refute_0_1312,refute_0_1313]) ).

cnf(refute_0_1315,plain,
    ( antidomain(domain(addition(X_221,one))) != zero
    | ifeq(leq(antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != antidomain(addition(X_221,one))
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = antidomain(addition(X_221,one)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),antidomain(addition(X_221,one))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_1316,plain,
    ( ifeq(leq(antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != antidomain(addition(X_221,one))
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = antidomain(addition(X_221,one)) ),
    inference(resolve,[$cnf( $equal(antidomain(domain(addition(X_221,one))),zero) )],[refute_0_1314,refute_0_1315]) ).

cnf(refute_0_1317,plain,
    ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = antidomain(addition(X_221,one)),
    inference(resolve,[$cnf( $equal(ifeq(leq(antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),antidomain(addition(X_221,one))) )],[refute_0_1242,refute_0_1316]) ).

cnf(refute_0_1318,plain,
    ifeq(true,true,zero,antidomain(addition(X_221,one))) = zero,
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(zero)),bind(C,$fot(antidomain(addition(X_221,one))))]]) ).

cnf(refute_0_1319,plain,
    ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),
    introduced(tautology,[refl,[$fot(ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))))]]) ).

cnf(refute_0_1320,plain,
    ( antidomain(domain(addition(X_221,one))) != zero
    | ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one)))
    | ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,zero,antidomain(addition(X_221,one))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one)))) ),[1,2],$fot(zero)]]) ).

cnf(refute_0_1321,plain,
    ( antidomain(domain(addition(X_221,one))) != zero
    | ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,zero,antidomain(addition(X_221,one))) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one)))) )],[refute_0_1319,refute_0_1320]) ).

cnf(refute_0_1322,plain,
    ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,zero,antidomain(addition(X_221,one))),
    inference(resolve,[$cnf( $equal(antidomain(domain(addition(X_221,one))),zero) )],[refute_0_1314,refute_0_1321]) ).

cnf(refute_0_1323,plain,
    ifeq2(addition(zero,X_33),X_33,leq(zero,X_33),true) = true,
    inference(subst,[],[order:[bind(A,$fot(zero)),bind(B,$fot(X_33))]]) ).

cnf(refute_0_1324,plain,
    addition(zero,X_33) = X_33,
    inference(subst,[],[refute_0_35:[bind(A,$fot(X_33))]]) ).

cnf(refute_0_1325,plain,
    ( addition(zero,X_33) != X_33
    | ifeq2(addition(zero,X_33),X_33,leq(zero,X_33),true) != true
    | ifeq2(X_33,X_33,leq(zero,X_33),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(addition(zero,X_33),X_33,leq(zero,X_33),true),true) ),[0,0],$fot(X_33)]]) ).

cnf(refute_0_1326,plain,
    ( ifeq2(addition(zero,X_33),X_33,leq(zero,X_33),true) != true
    | ifeq2(X_33,X_33,leq(zero,X_33),true) = true ),
    inference(resolve,[$cnf( $equal(addition(zero,X_33),X_33) )],[refute_0_1324,refute_0_1325]) ).

cnf(refute_0_1327,plain,
    ifeq2(X_33,X_33,leq(zero,X_33),true) = true,
    inference(resolve,[$cnf( $equal(ifeq2(addition(zero,X_33),X_33,leq(zero,X_33),true),true) )],[refute_0_1323,refute_0_1326]) ).

cnf(refute_0_1328,plain,
    ifeq2(X_33,X_33,leq(zero,X_33),true) = leq(zero,X_33),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(X_33)),bind(B,$fot(leq(zero,X_33))),bind(C,$fot(true))]]) ).

cnf(refute_0_1329,plain,
    ( ifeq2(X_33,X_33,leq(zero,X_33),true) != leq(zero,X_33)
    | ifeq2(X_33,X_33,leq(zero,X_33),true) != true
    | leq(zero,X_33) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(X_33,X_33,leq(zero,X_33),true),true) ),[0],$fot(leq(zero,X_33))]]) ).

cnf(refute_0_1330,plain,
    ( ifeq2(X_33,X_33,leq(zero,X_33),true) != true
    | leq(zero,X_33) = true ),
    inference(resolve,[$cnf( $equal(ifeq2(X_33,X_33,leq(zero,X_33),true),leq(zero,X_33)) )],[refute_0_1328,refute_0_1329]) ).

cnf(refute_0_1331,plain,
    leq(zero,X_33) = true,
    inference(resolve,[$cnf( $equal(ifeq2(X_33,X_33,leq(zero,X_33),true),true) )],[refute_0_1327,refute_0_1330]) ).

cnf(refute_0_1332,plain,
    leq(zero,antidomain(addition(X_221,one))) = true,
    inference(subst,[],[refute_0_1331:[bind(X_33,$fot(antidomain(addition(X_221,one))))]]) ).

cnf(refute_0_1333,plain,
    ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),
    introduced(tautology,[refl,[$fot(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))))]]) ).

cnf(refute_0_1334,plain,
    ( ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one)))
    | leq(zero,antidomain(addition(X_221,one))) != true
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one)))) ),[1,0],$fot(true)]]) ).

cnf(refute_0_1335,plain,
    ( leq(zero,antidomain(addition(X_221,one))) != true
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) ),
    inference(resolve,[$cnf( $equal(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one)))) )],[refute_0_1333,refute_0_1334]) ).

cnf(refute_0_1336,plain,
    ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),
    inference(resolve,[$cnf( $equal(leq(zero,antidomain(addition(X_221,one))),true) )],[refute_0_1332,refute_0_1335]) ).

cnf(refute_0_1337,plain,
    ( ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one)))
    | ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != ifeq(true,true,zero,antidomain(addition(X_221,one)))
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,zero,antidomain(addition(X_221,one))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))))),bind(Y,$fot(ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))))),bind(Z,$fot(ifeq(true,true,zero,antidomain(addition(X_221,one)))))]]) ).

cnf(refute_0_1338,plain,
    ( ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != ifeq(true,true,zero,antidomain(addition(X_221,one)))
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,zero,antidomain(addition(X_221,one))) ),
    inference(resolve,[$cnf( $equal(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one)))) )],[refute_0_1336,refute_0_1337]) ).

cnf(refute_0_1339,plain,
    ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = ifeq(true,true,zero,antidomain(addition(X_221,one))),
    inference(resolve,[$cnf( $equal(ifeq(true,true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),ifeq(true,true,zero,antidomain(addition(X_221,one)))) )],[refute_0_1322,refute_0_1338]) ).

cnf(refute_0_1340,plain,
    ( ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != ifeq(true,true,zero,antidomain(addition(X_221,one)))
    | ifeq(true,true,zero,antidomain(addition(X_221,one))) != zero
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = zero ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))))),bind(Y,$fot(ifeq(true,true,zero,antidomain(addition(X_221,one))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1341,plain,
    ( ifeq(true,true,zero,antidomain(addition(X_221,one))) != zero
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = zero ),
    inference(resolve,[$cnf( $equal(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),ifeq(true,true,zero,antidomain(addition(X_221,one)))) )],[refute_0_1339,refute_0_1340]) ).

cnf(refute_0_1342,plain,
    ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) = zero,
    inference(resolve,[$cnf( $equal(ifeq(true,true,zero,antidomain(addition(X_221,one))),zero) )],[refute_0_1318,refute_0_1341]) ).

cnf(refute_0_1343,plain,
    ( ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != antidomain(addition(X_221,one))
    | ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != zero
    | zero = antidomain(addition(X_221,one)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),antidomain(addition(X_221,one))) ),[0],$fot(zero)]]) ).

cnf(refute_0_1344,plain,
    ( ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))) != antidomain(addition(X_221,one))
    | zero = antidomain(addition(X_221,one)) ),
    inference(resolve,[$cnf( $equal(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),zero) )],[refute_0_1342,refute_0_1343]) ).

cnf(refute_0_1345,plain,
    zero = antidomain(addition(X_221,one)),
    inference(resolve,[$cnf( $equal(ifeq(leq(zero,antidomain(addition(X_221,one))),true,antidomain(domain(addition(X_221,one))),antidomain(addition(X_221,one))),antidomain(addition(X_221,one))) )],[refute_0_1317,refute_0_1344]) ).

cnf(refute_0_1346,plain,
    ( zero != antidomain(addition(X_221,one))
    | antidomain(addition(X_221,one)) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(addition(X_221,one))))]]) ).

cnf(refute_0_1347,plain,
    antidomain(addition(X_221,one)) = zero,
    inference(resolve,[$cnf( $equal(zero,antidomain(addition(X_221,one))) )],[refute_0_1345,refute_0_1346]) ).

cnf(refute_0_1348,plain,
    antidomain(addition(X_216,one)) = zero,
    inference(subst,[],[refute_0_1347:[bind(X_221,$fot(X_216))]]) ).

cnf(refute_0_1349,plain,
    addition(X_243,antidomain(addition(X_216,one))) = addition(X_243,antidomain(addition(X_216,one))),
    introduced(tautology,[refl,[$fot(addition(X_243,antidomain(addition(X_216,one))))]]) ).

cnf(refute_0_1350,plain,
    ( addition(X_243,antidomain(addition(X_216,one))) != addition(X_243,antidomain(addition(X_216,one)))
    | antidomain(addition(X_216,one)) != zero
    | addition(X_243,antidomain(addition(X_216,one))) = addition(X_243,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_243,antidomain(addition(X_216,one))),addition(X_243,antidomain(addition(X_216,one)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1351,plain,
    ( antidomain(addition(X_216,one)) != zero
    | addition(X_243,antidomain(addition(X_216,one))) = addition(X_243,zero) ),
    inference(resolve,[$cnf( $equal(addition(X_243,antidomain(addition(X_216,one))),addition(X_243,antidomain(addition(X_216,one)))) )],[refute_0_1349,refute_0_1350]) ).

cnf(refute_0_1352,plain,
    addition(X_243,antidomain(addition(X_216,one))) = addition(X_243,zero),
    inference(resolve,[$cnf( $equal(antidomain(addition(X_216,one)),zero) )],[refute_0_1348,refute_0_1351]) ).

cnf(refute_0_1353,plain,
    ( addition(X_243,antidomain(addition(X_216,one))) != addition(X_243,zero)
    | addition(X_243,zero) != X_243
    | addition(X_243,antidomain(addition(X_216,one))) = X_243 ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(X_243,antidomain(addition(X_216,one))))),bind(Y,$fot(addition(X_243,zero))),bind(Z,$fot(X_243))]]) ).

cnf(refute_0_1354,plain,
    ( addition(X_243,zero) != X_243
    | addition(X_243,antidomain(addition(X_216,one))) = X_243 ),
    inference(resolve,[$cnf( $equal(addition(X_243,antidomain(addition(X_216,one))),addition(X_243,zero)) )],[refute_0_1352,refute_0_1353]) ).

cnf(refute_0_1355,plain,
    addition(X_243,antidomain(addition(X_216,one))) = X_243,
    inference(resolve,[$cnf( $equal(addition(X_243,zero),X_243) )],[refute_0_1236,refute_0_1354]) ).

cnf(refute_0_1356,plain,
    multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)) = multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)),
    introduced(tautology,[refl,[$fot(multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)))]]) ).

cnf(refute_0_1357,plain,
    ( addition(X_243,antidomain(addition(X_216,one))) != X_243
    | multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)) != multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216))
    | multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)) = multiplication(X_243,addition(one,X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)),multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216))) ),[1,0],$fot(X_243)]]) ).

cnf(refute_0_1358,plain,
    ( addition(X_243,antidomain(addition(X_216,one))) != X_243
    | multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)) = multiplication(X_243,addition(one,X_216)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)),multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216))) )],[refute_0_1356,refute_0_1357]) ).

cnf(refute_0_1359,plain,
    multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)) = multiplication(X_243,addition(one,X_216)),
    inference(resolve,[$cnf( $equal(addition(X_243,antidomain(addition(X_216,one))),X_243) )],[refute_0_1355,refute_0_1358]) ).

cnf(refute_0_1360,plain,
    multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) = addition(multiplication(A,antidomain(domain(coantidomain(A)))),multiplication(A,C)),
    inference(subst,[],[right_distributivity:[bind(B,$fot(antidomain(domain(coantidomain(A)))))]]) ).

cnf(refute_0_1361,plain,
    A = multiplication(A,antidomain(domain(coantidomain(A)))),
    inference(subst,[],[refute_0_621:[bind(X_226,$fot(A))]]) ).

cnf(refute_0_1362,plain,
    ( A != multiplication(A,antidomain(domain(coantidomain(A))))
    | multiplication(A,antidomain(domain(coantidomain(A)))) = A ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(A)),bind(Y,$fot(multiplication(A,antidomain(domain(coantidomain(A))))))]]) ).

cnf(refute_0_1363,plain,
    multiplication(A,antidomain(domain(coantidomain(A)))) = A,
    inference(resolve,[$cnf( $equal(A,multiplication(A,antidomain(domain(coantidomain(A))))) )],[refute_0_1361,refute_0_1362]) ).

cnf(refute_0_1364,plain,
    ( multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) != addition(multiplication(A,antidomain(domain(coantidomain(A)))),multiplication(A,C))
    | multiplication(A,antidomain(domain(coantidomain(A)))) != A
    | multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) = addition(A,multiplication(A,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(antidomain(domain(coantidomain(A))),C)),addition(multiplication(A,antidomain(domain(coantidomain(A)))),multiplication(A,C))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_1365,plain,
    ( multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) != addition(multiplication(A,antidomain(domain(coantidomain(A)))),multiplication(A,C))
    | multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) = addition(A,multiplication(A,C)) ),
    inference(resolve,[$cnf( $equal(multiplication(A,antidomain(domain(coantidomain(A)))),A) )],[refute_0_1363,refute_0_1364]) ).

cnf(refute_0_1366,plain,
    multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) = addition(A,multiplication(A,C)),
    inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(domain(coantidomain(A))),C)),addition(multiplication(A,antidomain(domain(coantidomain(A)))),multiplication(A,C))) )],[refute_0_1360,refute_0_1365]) ).

cnf(refute_0_1367,plain,
    multiplication(X_226,addition(domain(coantidomain(X_226)),addition(antidomain(domain(coantidomain(X_226))),X_161))) = multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161)),
    inference(subst,[],[refute_0_612:[bind(X_215,$fot(X_226)),bind(X_217,$fot(addition(antidomain(domain(coantidomain(X_226))),X_161)))]]) ).

cnf(refute_0_1368,plain,
    addition(domain(coantidomain(X_226)),addition(antidomain(domain(coantidomain(X_226))),X_161)) = addition(one,X_161),
    inference(subst,[],[refute_0_369:[bind(X0,$fot(coantidomain(X_226)))]]) ).

cnf(refute_0_1369,plain,
    ( addition(domain(coantidomain(X_226)),addition(antidomain(domain(coantidomain(X_226))),X_161)) != addition(one,X_161)
    | multiplication(X_226,addition(domain(coantidomain(X_226)),addition(antidomain(domain(coantidomain(X_226))),X_161))) != multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161))
    | multiplication(X_226,addition(one,X_161)) = multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_226,addition(domain(coantidomain(X_226)),addition(antidomain(domain(coantidomain(X_226))),X_161))),multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161))) ),[0,1],$fot(addition(one,X_161))]]) ).

cnf(refute_0_1370,plain,
    ( multiplication(X_226,addition(domain(coantidomain(X_226)),addition(antidomain(domain(coantidomain(X_226))),X_161))) != multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161))
    | multiplication(X_226,addition(one,X_161)) = multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161)) ),
    inference(resolve,[$cnf( $equal(addition(domain(coantidomain(X_226)),addition(antidomain(domain(coantidomain(X_226))),X_161)),addition(one,X_161)) )],[refute_0_1368,refute_0_1369]) ).

cnf(refute_0_1371,plain,
    multiplication(X_226,addition(one,X_161)) = multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161)),
    inference(resolve,[$cnf( $equal(multiplication(X_226,addition(domain(coantidomain(X_226)),addition(antidomain(domain(coantidomain(X_226))),X_161))),multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161))) )],[refute_0_1367,refute_0_1370]) ).

cnf(refute_0_1372,plain,
    ( multiplication(X_226,addition(one,X_161)) != multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161))
    | multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161)) = multiplication(X_226,addition(one,X_161)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(X_226,addition(one,X_161)))),bind(Y,$fot(multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161))))]]) ).

cnf(refute_0_1373,plain,
    multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161)) = multiplication(X_226,addition(one,X_161)),
    inference(resolve,[$cnf( $equal(multiplication(X_226,addition(one,X_161)),multiplication(X_226,addition(antidomain(domain(coantidomain(X_226))),X_161))) )],[refute_0_1371,refute_0_1372]) ).

cnf(refute_0_1374,plain,
    multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) = multiplication(A,addition(one,C)),
    inference(subst,[],[refute_0_1373:[bind(X_161,$fot(C)),bind(X_226,$fot(A))]]) ).

cnf(refute_0_1375,plain,
    ( multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) != addition(A,multiplication(A,C))
    | multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) != multiplication(A,addition(one,C))
    | multiplication(A,addition(one,C)) = addition(A,multiplication(A,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(antidomain(domain(coantidomain(A))),C)),addition(A,multiplication(A,C))) ),[0],$fot(multiplication(A,addition(one,C)))]]) ).

cnf(refute_0_1376,plain,
    ( multiplication(A,addition(antidomain(domain(coantidomain(A))),C)) != addition(A,multiplication(A,C))
    | multiplication(A,addition(one,C)) = addition(A,multiplication(A,C)) ),
    inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(domain(coantidomain(A))),C)),multiplication(A,addition(one,C))) )],[refute_0_1374,refute_0_1375]) ).

cnf(refute_0_1377,plain,
    multiplication(A,addition(one,C)) = addition(A,multiplication(A,C)),
    inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(domain(coantidomain(A))),C)),addition(A,multiplication(A,C))) )],[refute_0_1366,refute_0_1376]) ).

cnf(refute_0_1378,plain,
    ( multiplication(A,addition(one,C)) != addition(A,multiplication(A,C))
    | addition(A,multiplication(A,C)) = multiplication(A,addition(one,C)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(A,addition(one,C)))),bind(Y,$fot(addition(A,multiplication(A,C))))]]) ).

cnf(refute_0_1379,plain,
    addition(A,multiplication(A,C)) = multiplication(A,addition(one,C)),
    inference(resolve,[$cnf( $equal(multiplication(A,addition(one,C)),addition(A,multiplication(A,C))) )],[refute_0_1377,refute_0_1378]) ).

cnf(refute_0_1380,plain,
    addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)) = multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)),
    inference(subst,[],[refute_0_1379:[bind(A,$fot(addition(X_243,antidomain(addition(X_216,one))))),bind(C,$fot(X_216))]]) ).

cnf(refute_0_1381,plain,
    ( addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)) != multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216))
    | multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)) != multiplication(X_243,addition(one,X_216))
    | addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)) = multiplication(X_243,addition(one,X_216)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)))),bind(Y,$fot(multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)))),bind(Z,$fot(multiplication(X_243,addition(one,X_216))))]]) ).

cnf(refute_0_1382,plain,
    ( multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)) != multiplication(X_243,addition(one,X_216))
    | addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)) = multiplication(X_243,addition(one,X_216)) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)),multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216))) )],[refute_0_1380,refute_0_1381]) ).

cnf(refute_0_1383,plain,
    addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)) = multiplication(X_243,addition(one,X_216)),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(addition(X_216,one))),addition(one,X_216)),multiplication(X_243,addition(one,X_216))) )],[refute_0_1359,refute_0_1382]) ).

cnf(refute_0_1384,plain,
    ( addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)) != multiplication(X_243,addition(one,X_216))
    | multiplication(X_243,addition(X_216,one)) != addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216))
    | multiplication(X_243,addition(X_216,one)) = multiplication(X_243,addition(one,X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_243,addition(X_216,one)),addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216))) ),[1],$fot(multiplication(X_243,addition(one,X_216)))]]) ).

cnf(refute_0_1385,plain,
    ( multiplication(X_243,addition(X_216,one)) != addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216))
    | multiplication(X_243,addition(X_216,one)) = multiplication(X_243,addition(one,X_216)) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216)),multiplication(X_243,addition(one,X_216))) )],[refute_0_1383,refute_0_1384]) ).

cnf(refute_0_1386,plain,
    multiplication(X_243,addition(X_216,one)) = multiplication(X_243,addition(one,X_216)),
    inference(resolve,[$cnf( $equal(multiplication(X_243,addition(X_216,one)),addition(addition(X_243,antidomain(addition(X_216,one))),multiplication(addition(X_243,antidomain(addition(X_216,one))),X_216))) )],[refute_0_1235,refute_0_1385]) ).

cnf(refute_0_1387,plain,
    multiplication(X_215,addition(X_245,one)) = multiplication(X_215,addition(one,X_245)),
    inference(subst,[],[refute_0_1386:[bind(X_216,$fot(X_245)),bind(X_243,$fot(X_215))]]) ).

cnf(refute_0_1388,plain,
    ( multiplication(X_215,addition(X_245,one)) != multiplication(X_215,addition(one,X_245))
    | multiplication(X_215,addition(one,addition(X_245,one))) != addition(X_215,multiplication(X_215,addition(X_245,one)))
    | multiplication(X_215,addition(one,addition(X_245,one))) = addition(X_215,multiplication(X_215,addition(one,X_245))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(one,addition(X_245,one))),addition(X_215,multiplication(X_215,addition(X_245,one)))) ),[1,1],$fot(multiplication(X_215,addition(one,X_245)))]]) ).

cnf(refute_0_1389,plain,
    ( multiplication(X_215,addition(one,addition(X_245,one))) != addition(X_215,multiplication(X_215,addition(X_245,one)))
    | multiplication(X_215,addition(one,addition(X_245,one))) = addition(X_215,multiplication(X_215,addition(one,X_245))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(X_245,one)),multiplication(X_215,addition(one,X_245))) )],[refute_0_1387,refute_0_1388]) ).

cnf(refute_0_1390,plain,
    multiplication(X_215,addition(one,addition(X_245,one))) = addition(X_215,multiplication(X_215,addition(one,X_245))),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,addition(X_245,one))),addition(X_215,multiplication(X_215,addition(X_245,one)))) )],[refute_0_1230,refute_0_1389]) ).

cnf(refute_0_1391,plain,
    ( addition(X_160,X_161) != addition(X_161,addition(X_160,X_161))
    | addition(X_161,addition(X_160,X_161)) = addition(X_160,X_161) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_160,X_161))),bind(Y,$fot(addition(X_161,addition(X_160,X_161))))]]) ).

cnf(refute_0_1392,plain,
    addition(X_161,addition(X_160,X_161)) = addition(X_160,X_161),
    inference(resolve,[$cnf( $equal(addition(X_160,X_161),addition(X_161,addition(X_160,X_161))) )],[refute_0_1084,refute_0_1391]) ).

cnf(refute_0_1393,plain,
    addition(one,addition(X_245,one)) = addition(X_245,one),
    inference(subst,[],[refute_0_1392:[bind(X_160,$fot(X_245)),bind(X_161,$fot(one))]]) ).

cnf(refute_0_1394,plain,
    multiplication(X_215,addition(one,addition(X_245,one))) = multiplication(X_215,addition(one,addition(X_245,one))),
    introduced(tautology,[refl,[$fot(multiplication(X_215,addition(one,addition(X_245,one))))]]) ).

cnf(refute_0_1395,plain,
    ( addition(one,addition(X_245,one)) != addition(X_245,one)
    | multiplication(X_215,addition(one,addition(X_245,one))) != multiplication(X_215,addition(one,addition(X_245,one)))
    | multiplication(X_215,addition(one,addition(X_245,one))) = multiplication(X_215,addition(X_245,one)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(one,addition(X_245,one))),multiplication(X_215,addition(one,addition(X_245,one)))) ),[1,1],$fot(addition(X_245,one))]]) ).

cnf(refute_0_1396,plain,
    ( addition(one,addition(X_245,one)) != addition(X_245,one)
    | multiplication(X_215,addition(one,addition(X_245,one))) = multiplication(X_215,addition(X_245,one)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,addition(X_245,one))),multiplication(X_215,addition(one,addition(X_245,one)))) )],[refute_0_1394,refute_0_1395]) ).

cnf(refute_0_1397,plain,
    multiplication(X_215,addition(one,addition(X_245,one))) = multiplication(X_215,addition(X_245,one)),
    inference(resolve,[$cnf( $equal(addition(one,addition(X_245,one)),addition(X_245,one)) )],[refute_0_1393,refute_0_1396]) ).

cnf(refute_0_1398,plain,
    ( multiplication(X_215,addition(one,addition(X_245,one))) != addition(X_215,multiplication(X_215,addition(one,X_245)))
    | multiplication(X_215,addition(one,addition(X_245,one))) != multiplication(X_215,addition(X_245,one))
    | multiplication(X_215,addition(X_245,one)) = addition(X_215,multiplication(X_215,addition(one,X_245))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(one,addition(X_245,one))),addition(X_215,multiplication(X_215,addition(one,X_245)))) ),[0],$fot(multiplication(X_215,addition(X_245,one)))]]) ).

cnf(refute_0_1399,plain,
    ( multiplication(X_215,addition(one,addition(X_245,one))) != addition(X_215,multiplication(X_215,addition(one,X_245)))
    | multiplication(X_215,addition(X_245,one)) = addition(X_215,multiplication(X_215,addition(one,X_245))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,addition(X_245,one))),multiplication(X_215,addition(X_245,one))) )],[refute_0_1397,refute_0_1398]) ).

cnf(refute_0_1400,plain,
    multiplication(X_215,addition(X_245,one)) = addition(X_215,multiplication(X_215,addition(one,X_245))),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,addition(X_245,one))),addition(X_215,multiplication(X_215,addition(one,X_245)))) )],[refute_0_1390,refute_0_1399]) ).

cnf(refute_0_1401,plain,
    multiplication(X_530,addition(X_1321,one)) = addition(X_530,multiplication(X_530,addition(one,X_1321))),
    inference(subst,[],[refute_0_1400:[bind(X_215,$fot(X_530)),bind(X_245,$fot(X_1321))]]) ).

cnf(refute_0_1402,plain,
    ( multiplication(X_530,addition(X_1321,one)) != addition(X_530,multiplication(X_530,addition(one,X_1321)))
    | addition(X_530,multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(X_1321,one)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(X_530,addition(X_1321,one)))),bind(Y,$fot(addition(X_530,multiplication(X_530,addition(one,X_1321)))))]]) ).

cnf(refute_0_1403,plain,
    addition(X_530,multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(X_1321,one)),
    inference(resolve,[$cnf( $equal(multiplication(X_530,addition(X_1321,one)),addition(X_530,multiplication(X_530,addition(one,X_1321)))) )],[refute_0_1401,refute_0_1402]) ).

cnf(refute_0_1404,plain,
    ( addition(X_530,multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(X_1321,one))
    | ifeq(leq(addition(X_530,multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(one,X_1321))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(one,X_1321)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(X_530,multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))) ),[0,0,0],$fot(multiplication(X_530,addition(X_1321,one)))]]) ).

cnf(refute_0_1405,plain,
    ( ifeq(leq(addition(X_530,multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(one,X_1321))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(one,X_1321)) ),
    inference(resolve,[$cnf( $equal(addition(X_530,multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(X_1321,one))) )],[refute_0_1403,refute_0_1404]) ).

cnf(refute_0_1406,plain,
    ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(one,X_1321)),
    inference(resolve,[$cnf( $equal(ifeq(leq(addition(X_530,multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))) )],[refute_0_1229,refute_0_1405]) ).

cnf(refute_0_1407,plain,
    addition(multiplication(X_530,addition(one,X_1321)),X_530) = addition(X_530,multiplication(X_530,addition(one,X_1321))),
    inference(subst,[],[refute_0_965:[bind(X_531,$fot(X_530)),bind(X_532,$fot(multiplication(X_530,addition(one,X_1321))))]]) ).

cnf(refute_0_1408,plain,
    ( addition(X_530,multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(X_1321,one))
    | addition(multiplication(X_530,addition(one,X_1321)),X_530) != addition(X_530,multiplication(X_530,addition(one,X_1321)))
    | addition(multiplication(X_530,addition(one,X_1321)),X_530) = multiplication(X_530,addition(X_1321,one)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(multiplication(X_530,addition(one,X_1321)),X_530))),bind(Y,$fot(addition(X_530,multiplication(X_530,addition(one,X_1321))))),bind(Z,$fot(multiplication(X_530,addition(X_1321,one))))]]) ).

cnf(refute_0_1409,plain,
    ( addition(X_530,multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(X_1321,one))
    | addition(multiplication(X_530,addition(one,X_1321)),X_530) = multiplication(X_530,addition(X_1321,one)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_530,addition(one,X_1321)),X_530),addition(X_530,multiplication(X_530,addition(one,X_1321)))) )],[refute_0_1407,refute_0_1408]) ).

cnf(refute_0_1410,plain,
    addition(multiplication(X_530,addition(one,X_1321)),X_530) = multiplication(X_530,addition(X_1321,one)),
    inference(resolve,[$cnf( $equal(addition(X_530,multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(X_1321,one))) )],[refute_0_1403,refute_0_1409]) ).

cnf(refute_0_1411,plain,
    ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) = ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))),
    introduced(tautology,[refl,[$fot(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))))]]) ).

cnf(refute_0_1412,plain,
    ( addition(multiplication(X_530,addition(one,X_1321)),X_530) != multiplication(X_530,addition(X_1321,one))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) != ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321)))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) = ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))),ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321)))) ),[1,2],$fot(multiplication(X_530,addition(X_1321,one)))]]) ).

cnf(refute_0_1413,plain,
    ( addition(multiplication(X_530,addition(one,X_1321)),X_530) != multiplication(X_530,addition(X_1321,one))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) = ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) ),
    inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))),ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321)))) )],[refute_0_1411,refute_0_1412]) ).

cnf(refute_0_1414,plain,
    ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) = ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(X_1321,one))) )],[refute_0_1410,refute_0_1413]) ).

cnf(refute_0_1415,plain,
    ( ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) != ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321)))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(one,X_1321))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(one,X_1321)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))) ),[0],$fot(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))))]]) ).

cnf(refute_0_1416,plain,
    ( ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(one,X_1321))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(one,X_1321)) ),
    inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))),ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321)))) )],[refute_0_1414,refute_0_1415]) ).

cnf(refute_0_1417,plain,
    ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(one,X_1321)),
    inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,addition(multiplication(X_530,addition(one,X_1321)),X_530),multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))) )],[refute_0_1406,refute_0_1416]) ).

cnf(refute_0_1418,plain,
    ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(X_1321,one)),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(multiplication(X_530,addition(X_1321,one)))),bind(C,$fot(multiplication(X_530,addition(one,X_1321))))]]) ).

cnf(refute_0_1419,plain,
    ifeq2(addition(A,addition(X_322,A)),addition(X_322,A),leq(A,addition(X_322,A)),true) = true,
    inference(subst,[],[order:[bind(B,$fot(addition(X_322,A)))]]) ).

cnf(refute_0_1420,plain,
    addition(X_322,A) = addition(A,addition(X_322,A)),
    inference(subst,[],[refute_0_1084:[bind(X_160,$fot(X_322)),bind(X_161,$fot(A))]]) ).

cnf(refute_0_1421,plain,
    ( addition(X_322,A) != addition(A,addition(X_322,A))
    | addition(A,addition(X_322,A)) = addition(X_322,A) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_322,A))),bind(Y,$fot(addition(A,addition(X_322,A))))]]) ).

cnf(refute_0_1422,plain,
    addition(A,addition(X_322,A)) = addition(X_322,A),
    inference(resolve,[$cnf( $equal(addition(X_322,A),addition(A,addition(X_322,A))) )],[refute_0_1420,refute_0_1421]) ).

cnf(refute_0_1423,plain,
    ( addition(A,addition(X_322,A)) != addition(X_322,A)
    | ifeq2(addition(A,addition(X_322,A)),addition(X_322,A),leq(A,addition(X_322,A)),true) != true
    | ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(addition(A,addition(X_322,A)),addition(X_322,A),leq(A,addition(X_322,A)),true),true) ),[0,0],$fot(addition(X_322,A))]]) ).

cnf(refute_0_1424,plain,
    ( ifeq2(addition(A,addition(X_322,A)),addition(X_322,A),leq(A,addition(X_322,A)),true) != true
    | ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true) = true ),
    inference(resolve,[$cnf( $equal(addition(A,addition(X_322,A)),addition(X_322,A)) )],[refute_0_1422,refute_0_1423]) ).

cnf(refute_0_1425,plain,
    ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq2(addition(A,addition(X_322,A)),addition(X_322,A),leq(A,addition(X_322,A)),true),true) )],[refute_0_1419,refute_0_1424]) ).

cnf(refute_0_1426,plain,
    ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true) = leq(A,addition(X_322,A)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(addition(X_322,A))),bind(B,$fot(leq(A,addition(X_322,A)))),bind(C,$fot(true))]]) ).

cnf(refute_0_1427,plain,
    ( ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true) != leq(A,addition(X_322,A))
    | ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true) != true
    | leq(A,addition(X_322,A)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true),true) ),[0],$fot(leq(A,addition(X_322,A)))]]) ).

cnf(refute_0_1428,plain,
    ( ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true) != true
    | leq(A,addition(X_322,A)) = true ),
    inference(resolve,[$cnf( $equal(ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true),leq(A,addition(X_322,A))) )],[refute_0_1426,refute_0_1427]) ).

cnf(refute_0_1429,plain,
    leq(A,addition(X_322,A)) = true,
    inference(resolve,[$cnf( $equal(ifeq2(addition(X_322,A),addition(X_322,A),leq(A,addition(X_322,A)),true),true) )],[refute_0_1425,refute_0_1428]) ).

cnf(refute_0_1430,plain,
    leq(multiplication(X_322,addition(X_1323,one)),addition(X_322,multiplication(X_322,addition(X_1323,one)))) = true,
    inference(subst,[],[refute_0_1429:[bind(A,$fot(multiplication(X_322,addition(X_1323,one))))]]) ).

cnf(refute_0_1431,plain,
    multiplication(X_215,addition(one,addition(one,X_245))) = addition(X_215,multiplication(X_215,addition(one,X_245))),
    inference(subst,[],[refute_0_845:[bind(X_217,$fot(addition(one,X_245)))]]) ).

cnf(refute_0_1432,plain,
    ( multiplication(X_215,addition(X_245,one)) != multiplication(X_215,addition(one,X_245))
    | multiplication(X_215,addition(one,X_245)) = multiplication(X_215,addition(X_245,one)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(X_215,addition(X_245,one)))),bind(Y,$fot(multiplication(X_215,addition(one,X_245))))]]) ).

cnf(refute_0_1433,plain,
    multiplication(X_215,addition(one,X_245)) = multiplication(X_215,addition(X_245,one)),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(X_245,one)),multiplication(X_215,addition(one,X_245))) )],[refute_0_1387,refute_0_1432]) ).

cnf(refute_0_1434,plain,
    ( multiplication(X_215,addition(one,X_245)) != multiplication(X_215,addition(X_245,one))
    | multiplication(X_215,addition(one,addition(one,X_245))) != addition(X_215,multiplication(X_215,addition(one,X_245)))
    | multiplication(X_215,addition(one,addition(one,X_245))) = addition(X_215,multiplication(X_215,addition(X_245,one))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(one,addition(one,X_245))),addition(X_215,multiplication(X_215,addition(one,X_245)))) ),[1,1],$fot(multiplication(X_215,addition(X_245,one)))]]) ).

cnf(refute_0_1435,plain,
    ( multiplication(X_215,addition(one,addition(one,X_245))) != addition(X_215,multiplication(X_215,addition(one,X_245)))
    | multiplication(X_215,addition(one,addition(one,X_245))) = addition(X_215,multiplication(X_215,addition(X_245,one))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,X_245)),multiplication(X_215,addition(X_245,one))) )],[refute_0_1433,refute_0_1434]) ).

cnf(refute_0_1436,plain,
    multiplication(X_215,addition(one,addition(one,X_245))) = addition(X_215,multiplication(X_215,addition(X_245,one))),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,addition(one,X_245))),addition(X_215,multiplication(X_215,addition(one,X_245)))) )],[refute_0_1431,refute_0_1435]) ).

cnf(refute_0_1437,plain,
    addition(one,addition(one,X_245)) = addition(one,X_245),
    inference(subst,[],[refute_0_1077:[bind(X_160,$fot(one)),bind(X_161,$fot(X_245))]]) ).

cnf(refute_0_1438,plain,
    multiplication(X_215,addition(one,addition(one,X_245))) = multiplication(X_215,addition(one,addition(one,X_245))),
    introduced(tautology,[refl,[$fot(multiplication(X_215,addition(one,addition(one,X_245))))]]) ).

cnf(refute_0_1439,plain,
    ( addition(one,addition(one,X_245)) != addition(one,X_245)
    | multiplication(X_215,addition(one,addition(one,X_245))) != multiplication(X_215,addition(one,addition(one,X_245)))
    | multiplication(X_215,addition(one,addition(one,X_245))) = multiplication(X_215,addition(one,X_245)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(one,addition(one,X_245))),multiplication(X_215,addition(one,addition(one,X_245)))) ),[1,1],$fot(addition(one,X_245))]]) ).

cnf(refute_0_1440,plain,
    ( addition(one,addition(one,X_245)) != addition(one,X_245)
    | multiplication(X_215,addition(one,addition(one,X_245))) = multiplication(X_215,addition(one,X_245)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,addition(one,X_245))),multiplication(X_215,addition(one,addition(one,X_245)))) )],[refute_0_1438,refute_0_1439]) ).

cnf(refute_0_1441,plain,
    multiplication(X_215,addition(one,addition(one,X_245))) = multiplication(X_215,addition(one,X_245)),
    inference(resolve,[$cnf( $equal(addition(one,addition(one,X_245)),addition(one,X_245)) )],[refute_0_1437,refute_0_1440]) ).

cnf(refute_0_1442,plain,
    ( multiplication(X_215,addition(one,addition(one,X_245))) != addition(X_215,multiplication(X_215,addition(X_245,one)))
    | multiplication(X_215,addition(one,addition(one,X_245))) != multiplication(X_215,addition(one,X_245))
    | multiplication(X_215,addition(one,X_245)) = addition(X_215,multiplication(X_215,addition(X_245,one))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_215,addition(one,addition(one,X_245))),addition(X_215,multiplication(X_215,addition(X_245,one)))) ),[0],$fot(multiplication(X_215,addition(one,X_245)))]]) ).

cnf(refute_0_1443,plain,
    ( multiplication(X_215,addition(one,addition(one,X_245))) != addition(X_215,multiplication(X_215,addition(X_245,one)))
    | multiplication(X_215,addition(one,X_245)) = addition(X_215,multiplication(X_215,addition(X_245,one))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,addition(one,X_245))),multiplication(X_215,addition(one,X_245))) )],[refute_0_1441,refute_0_1442]) ).

cnf(refute_0_1444,plain,
    multiplication(X_215,addition(one,X_245)) = addition(X_215,multiplication(X_215,addition(X_245,one))),
    inference(resolve,[$cnf( $equal(multiplication(X_215,addition(one,addition(one,X_245))),addition(X_215,multiplication(X_215,addition(X_245,one)))) )],[refute_0_1436,refute_0_1443]) ).

cnf(refute_0_1445,plain,
    multiplication(X_322,addition(one,X_1323)) = addition(X_322,multiplication(X_322,addition(X_1323,one))),
    inference(subst,[],[refute_0_1444:[bind(X_215,$fot(X_322)),bind(X_245,$fot(X_1323))]]) ).

cnf(refute_0_1446,plain,
    ( multiplication(X_322,addition(one,X_1323)) != addition(X_322,multiplication(X_322,addition(X_1323,one)))
    | addition(X_322,multiplication(X_322,addition(X_1323,one))) = multiplication(X_322,addition(one,X_1323)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(X_322,addition(one,X_1323)))),bind(Y,$fot(addition(X_322,multiplication(X_322,addition(X_1323,one)))))]]) ).

cnf(refute_0_1447,plain,
    addition(X_322,multiplication(X_322,addition(X_1323,one))) = multiplication(X_322,addition(one,X_1323)),
    inference(resolve,[$cnf( $equal(multiplication(X_322,addition(one,X_1323)),addition(X_322,multiplication(X_322,addition(X_1323,one)))) )],[refute_0_1445,refute_0_1446]) ).

cnf(refute_0_1448,plain,
    ( addition(X_322,multiplication(X_322,addition(X_1323,one))) != multiplication(X_322,addition(one,X_1323))
    | leq(multiplication(X_322,addition(X_1323,one)),addition(X_322,multiplication(X_322,addition(X_1323,one)))) != true
    | leq(multiplication(X_322,addition(X_1323,one)),multiplication(X_322,addition(one,X_1323))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(X_322,addition(X_1323,one)),addition(X_322,multiplication(X_322,addition(X_1323,one)))),true) ),[0,1],$fot(multiplication(X_322,addition(one,X_1323)))]]) ).

cnf(refute_0_1449,plain,
    ( leq(multiplication(X_322,addition(X_1323,one)),addition(X_322,multiplication(X_322,addition(X_1323,one)))) != true
    | leq(multiplication(X_322,addition(X_1323,one)),multiplication(X_322,addition(one,X_1323))) = true ),
    inference(resolve,[$cnf( $equal(addition(X_322,multiplication(X_322,addition(X_1323,one))),multiplication(X_322,addition(one,X_1323))) )],[refute_0_1447,refute_0_1448]) ).

cnf(refute_0_1450,plain,
    leq(multiplication(X_322,addition(X_1323,one)),multiplication(X_322,addition(one,X_1323))) = true,
    inference(resolve,[$cnf( $equal(leq(multiplication(X_322,addition(X_1323,one)),addition(X_322,multiplication(X_322,addition(X_1323,one)))),true) )],[refute_0_1430,refute_0_1449]) ).

cnf(refute_0_1451,plain,
    leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = true,
    inference(subst,[],[refute_0_1450:[bind(X_1323,$fot(X_1321)),bind(X_322,$fot(X_530))]]) ).

cnf(refute_0_1452,plain,
    ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),
    introduced(tautology,[refl,[$fot(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))))]]) ).

cnf(refute_0_1453,plain,
    ( ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321)))
    | leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != true
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321)))) ),[1,0],$fot(true)]]) ).

cnf(refute_0_1454,plain,
    ( leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != true
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) ),
    inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321)))) )],[refute_0_1452,refute_0_1453]) ).

cnf(refute_0_1455,plain,
    ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),
    inference(resolve,[$cnf( $equal(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true) )],[refute_0_1451,refute_0_1454]) ).

cnf(refute_0_1456,plain,
    ( ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321)))
    | ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(X_1321,one))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(X_1321,one)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))))),bind(Y,$fot(ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))))),bind(Z,$fot(multiplication(X_530,addition(X_1321,one))))]]) ).

cnf(refute_0_1457,plain,
    ( ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(X_1321,one))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(X_1321,one)) ),
    inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321)))) )],[refute_0_1455,refute_0_1456]) ).

cnf(refute_0_1458,plain,
    ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) = multiplication(X_530,addition(X_1321,one)),
    inference(resolve,[$cnf( $equal(ifeq(true,true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(X_1321,one))) )],[refute_0_1418,refute_0_1457]) ).

cnf(refute_0_1459,plain,
    ( ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(X_1321,one))
    | ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(one,X_1321))
    | multiplication(X_530,addition(X_1321,one)) = multiplication(X_530,addition(one,X_1321)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))) ),[0],$fot(multiplication(X_530,addition(X_1321,one)))]]) ).

cnf(refute_0_1460,plain,
    ( ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))) != multiplication(X_530,addition(one,X_1321))
    | multiplication(X_530,addition(X_1321,one)) = multiplication(X_530,addition(one,X_1321)) ),
    inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(X_1321,one))) )],[refute_0_1458,refute_0_1459]) ).

cnf(refute_0_1461,plain,
    multiplication(X_530,addition(X_1321,one)) = multiplication(X_530,addition(one,X_1321)),
    inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),true,multiplication(X_530,addition(X_1321,one)),multiplication(X_530,addition(one,X_1321))),multiplication(X_530,addition(one,X_1321))) )],[refute_0_1417,refute_0_1460]) ).

cnf(refute_0_1462,plain,
    multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) = multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))),
    inference(subst,[],[refute_0_1461:[bind(X_1321,$fot(domain(sK2_goals_X0))),bind(X_530,$fot(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0)))))]]) ).

cnf(refute_0_1463,plain,
    ( multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) != multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0)))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)))),bind(Y,$fot(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))))),bind(Z,$fot(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))))]]) ).

cnf(refute_0_1464,plain,
    ( multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)),multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0)))) )],[refute_0_1462,refute_0_1463]) ).

cnf(refute_0_1465,plain,
    multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) = addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(one,domain(sK2_goals_X0))),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))) )],[refute_0_1209,refute_0_1464]) ).

cnf(refute_0_1466,plain,
    ( multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) != addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))
    | multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) != addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0)))
    | addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) = addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)),addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0)))) ),[0],$fot(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)))]]) ).

cnf(refute_0_1467,plain,
    ( multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) != addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0)))
    | addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) = addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))) )],[refute_0_1465,refute_0_1466]) ).

cnf(refute_0_1468,plain,
    addition(one,domain(sK1_goals_X1)) = one,
    inference(subst,[],[refute_0_407:[bind(X_8,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_1469,plain,
    multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = addition(X_243,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),
    inference(subst,[],[refute_0_201:[bind(X_216,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_1470,plain,
    ifeq(leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),
    inference(subst,[],[refute_0_1216:[bind(X_27,$fot(one)),bind(X_28,$fot(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_1471,plain,
    ifeq2(addition(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) = true,
    inference(subst,[],[order:[bind(A,$fot(antidomain(multiplication(X_98,X_99)))),bind(B,$fot(antidomain(multiplication(X_98,domain(X_99)))))]]) ).

cnf(refute_0_1472,plain,
    addition(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))) = antidomain(multiplication(X_98,domain(X_99))),
    inference(subst,[],[refute_0_84:[bind(X0,$fot(X_98)),bind(X1,$fot(X_99))]]) ).

cnf(refute_0_1473,plain,
    ( addition(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))) != antidomain(multiplication(X_98,domain(X_99)))
    | ifeq2(addition(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) != true
    | ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(addition(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true),true) ),[0,0],$fot(antidomain(multiplication(X_98,domain(X_99))))]]) ).

cnf(refute_0_1474,plain,
    ( ifeq2(addition(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) != true
    | ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) = true ),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),antidomain(multiplication(X_98,domain(X_99)))) )],[refute_0_1472,refute_0_1473]) ).

cnf(refute_0_1475,plain,
    ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) = true,
    inference(resolve,[$cnf( $equal(ifeq2(addition(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true),true) )],[refute_0_1471,refute_0_1474]) ).

cnf(refute_0_1476,plain,
    ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) = leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(antidomain(multiplication(X_98,domain(X_99))))),bind(B,$fot(leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))))),bind(C,$fot(true))]]) ).

cnf(refute_0_1477,plain,
    ( ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) != leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99))))
    | ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) != true
    | leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true),true) ),[0],$fot(leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))))]]) ).

cnf(refute_0_1478,plain,
    ( ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true) != true
    | leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))) = true ),
    inference(resolve,[$cnf( $equal(ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99))))) )],[refute_0_1476,refute_0_1477]) ).

cnf(refute_0_1479,plain,
    leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))) = true,
    inference(resolve,[$cnf( $equal(ifeq2(antidomain(multiplication(X_98,domain(X_99))),antidomain(multiplication(X_98,domain(X_99))),leq(antidomain(multiplication(X_98,X_99)),antidomain(multiplication(X_98,domain(X_99)))),true),true) )],[refute_0_1475,refute_0_1478]) ).

cnf(refute_0_1480,plain,
    leq(antidomain(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),X_837))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),X_837))))) = true,
    inference(subst,[],[refute_0_1479:[bind(X_98,$fot(codomain(sK2_goals_X0))),bind(X_99,$fot(addition(coantidomain(sK1_goals_X1),X_837)))]]) ).

cnf(refute_0_1481,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) = addition(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),C)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(codomain(sK2_goals_X0))),bind(B,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1482,plain,
    multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1483,plain,
    addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))),
    inference(subst,[],[refute_0_224:[bind(X0,$fot(sK2_goals_X0)),bind(X1,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1484,plain,
    multiplication(addition(X_72,addition(X_322,X_72)),coantidomain(addition(X_322,X_72))) = multiplication(X_72,coantidomain(addition(X_322,X_72))),
    inference(subst,[],[refute_0_290:[bind(X_73,$fot(addition(X_322,X_72)))]]) ).

cnf(refute_0_1485,plain,
    addition(X_322,X_72) = addition(X_72,addition(X_322,X_72)),
    inference(subst,[],[refute_0_1084:[bind(X_160,$fot(X_322)),bind(X_161,$fot(X_72))]]) ).

cnf(refute_0_1486,plain,
    ( addition(X_322,X_72) != addition(X_72,addition(X_322,X_72))
    | addition(X_72,addition(X_322,X_72)) = addition(X_322,X_72) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_322,X_72))),bind(Y,$fot(addition(X_72,addition(X_322,X_72))))]]) ).

cnf(refute_0_1487,plain,
    addition(X_72,addition(X_322,X_72)) = addition(X_322,X_72),
    inference(resolve,[$cnf( $equal(addition(X_322,X_72),addition(X_72,addition(X_322,X_72))) )],[refute_0_1485,refute_0_1486]) ).

cnf(refute_0_1488,plain,
    ( addition(X_72,addition(X_322,X_72)) != addition(X_322,X_72)
    | multiplication(addition(X_72,addition(X_322,X_72)),coantidomain(addition(X_322,X_72))) != multiplication(X_72,coantidomain(addition(X_322,X_72)))
    | multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))) = multiplication(X_72,coantidomain(addition(X_322,X_72))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,addition(X_322,X_72)),coantidomain(addition(X_322,X_72))),multiplication(X_72,coantidomain(addition(X_322,X_72)))) ),[0,0],$fot(addition(X_322,X_72))]]) ).

cnf(refute_0_1489,plain,
    ( multiplication(addition(X_72,addition(X_322,X_72)),coantidomain(addition(X_322,X_72))) != multiplication(X_72,coantidomain(addition(X_322,X_72)))
    | multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))) = multiplication(X_72,coantidomain(addition(X_322,X_72))) ),
    inference(resolve,[$cnf( $equal(addition(X_72,addition(X_322,X_72)),addition(X_322,X_72)) )],[refute_0_1487,refute_0_1488]) ).

cnf(refute_0_1490,plain,
    multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))) = multiplication(X_72,coantidomain(addition(X_322,X_72))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,addition(X_322,X_72)),coantidomain(addition(X_322,X_72))),multiplication(X_72,coantidomain(addition(X_322,X_72)))) )],[refute_0_1484,refute_0_1489]) ).

cnf(refute_0_1491,plain,
    multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(addition(X_322,X_72)))]]) ).

cnf(refute_0_1492,plain,
    ( multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))) != multiplication(X_72,coantidomain(addition(X_322,X_72)))
    | multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))) != zero
    | zero = multiplication(X_72,coantidomain(addition(X_322,X_72))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))),multiplication(X_72,coantidomain(addition(X_322,X_72)))) ),[0],$fot(zero)]]) ).

cnf(refute_0_1493,plain,
    ( multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))) != multiplication(X_72,coantidomain(addition(X_322,X_72)))
    | zero = multiplication(X_72,coantidomain(addition(X_322,X_72))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))),zero) )],[refute_0_1491,refute_0_1492]) ).

cnf(refute_0_1494,plain,
    zero = multiplication(X_72,coantidomain(addition(X_322,X_72))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_322,X_72),coantidomain(addition(X_322,X_72))),multiplication(X_72,coantidomain(addition(X_322,X_72)))) )],[refute_0_1490,refute_0_1493]) ).

cnf(refute_0_1495,plain,
    zero = multiplication(sK2_goals_X0,coantidomain(addition(sK1_goals_X1,sK2_goals_X0))),
    inference(subst,[],[refute_0_1494:[bind(X_322,$fot(sK1_goals_X1)),bind(X_72,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_1496,plain,
    ( addition(sK1_goals_X1,sK2_goals_X0) != sK1_goals_X1
    | zero != multiplication(sK2_goals_X0,coantidomain(addition(sK1_goals_X1,sK2_goals_X0)))
    | zero = multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(sK2_goals_X0,coantidomain(addition(sK1_goals_X1,sK2_goals_X0)))) ),[1,1,0],$fot(sK1_goals_X1)]]) ).

cnf(refute_0_1497,plain,
    ( zero != multiplication(sK2_goals_X0,coantidomain(addition(sK1_goals_X1,sK2_goals_X0)))
    | zero = multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(addition(sK1_goals_X1,sK2_goals_X0),sK1_goals_X1) )],[refute_0_773,refute_0_1496]) ).

cnf(refute_0_1498,plain,
    zero = multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(zero,multiplication(sK2_goals_X0,coantidomain(addition(sK1_goals_X1,sK2_goals_X0)))) )],[refute_0_1495,refute_0_1497]) ).

cnf(refute_0_1499,plain,
    ( zero != multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1))
    | multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1500,plain,
    multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)) = zero,
    inference(resolve,[$cnf( $equal(zero,multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1))) )],[refute_0_1498,refute_0_1499]) ).

cnf(refute_0_1501,plain,
    ( addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)) != zero
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_1502,plain,
    ( addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)),zero) )],[refute_0_1500,refute_0_1501]) ).

cnf(refute_0_1503,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) )],[refute_0_1483,refute_0_1502]) ).

cnf(refute_0_1504,plain,
    addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = one,
    inference(subst,[],[refute_0_705:[bind(X_164,$fot(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1505,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))))]]) ).

cnf(refute_0_1506,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))
    | coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1507,plain,
    ( coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))) )],[refute_0_1505,refute_0_1506]) ).

cnf(refute_0_1508,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),
    inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_738,refute_0_1507]) ).

cnf(refute_0_1509,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))
    | addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))))),bind(Y,$fot(addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_1510,plain,
    ( addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))) )],[refute_0_1508,refute_0_1509]) ).

cnf(refute_0_1511,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) = one,
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),one) )],[refute_0_1504,refute_0_1510]) ).

cnf(refute_0_1512,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != one
    | one = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) ),[0],$fot(one)]]) ).

cnf(refute_0_1513,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | one = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),one) )],[refute_0_1511,refute_0_1512]) ).

cnf(refute_0_1514,plain,
    one = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) )],[refute_0_1503,refute_0_1513]) ).

cnf(refute_0_1515,plain,
    ( one != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))))]]) ).

cnf(refute_0_1516,plain,
    coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) = one,
    inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) )],[refute_0_1514,refute_0_1515]) ).

cnf(refute_0_1517,plain,
    ( coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) != one
    | multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != zero
    | multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),zero) ),[0,1],$fot(one)]]) ).

cnf(refute_0_1518,plain,
    ( multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) != zero
    | multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one) = zero ),
    inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))),one) )],[refute_0_1516,refute_0_1517]) ).

cnf(refute_0_1519,plain,
    multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))),zero) )],[refute_0_1482,refute_0_1518]) ).

cnf(refute_0_1520,plain,
    multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one) = multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1521,plain,
    ( multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one) != multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))
    | multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one) != zero
    | multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one),zero) ),[0],$fot(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1522,plain,
    ( multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one) != zero
    | multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one),multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) )],[refute_0_1520,refute_0_1521]) ).

cnf(refute_0_1523,plain,
    multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),one),zero) )],[refute_0_1519,refute_0_1522]) ).

cnf(refute_0_1524,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) != addition(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),C))
    | multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) != zero
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) = addition(zero,multiplication(codomain(sK2_goals_X0),C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),C))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1525,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) != addition(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),C))
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) = addition(zero,multiplication(codomain(sK2_goals_X0),C)) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),zero) )],[refute_0_1523,refute_0_1524]) ).

cnf(refute_0_1526,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) = addition(zero,multiplication(codomain(sK2_goals_X0),C)),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),C))) )],[refute_0_1481,refute_0_1525]) ).

cnf(refute_0_1527,plain,
    addition(zero,multiplication(codomain(sK2_goals_X0),C)) = multiplication(codomain(sK2_goals_X0),C),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(codomain(sK2_goals_X0),C)))]]) ).

cnf(refute_0_1528,plain,
    ( addition(zero,multiplication(codomain(sK2_goals_X0),C)) != multiplication(codomain(sK2_goals_X0),C)
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) != addition(zero,multiplication(codomain(sK2_goals_X0),C))
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) = multiplication(codomain(sK2_goals_X0),C) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(zero,multiplication(codomain(sK2_goals_X0),C))) ),[1],$fot(multiplication(codomain(sK2_goals_X0),C))]]) ).

cnf(refute_0_1529,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) != addition(zero,multiplication(codomain(sK2_goals_X0),C))
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) = multiplication(codomain(sK2_goals_X0),C) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(codomain(sK2_goals_X0),C)),multiplication(codomain(sK2_goals_X0),C)) )],[refute_0_1527,refute_0_1528]) ).

cnf(refute_0_1530,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) = multiplication(codomain(sK2_goals_X0),C),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(zero,multiplication(codomain(sK2_goals_X0),C))) )],[refute_0_1526,refute_0_1529]) ).

cnf(refute_0_1531,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),X_837)) = multiplication(codomain(sK2_goals_X0),X_837),
    inference(subst,[],[refute_0_1530:[bind(C,$fot(X_837))]]) ).

cnf(refute_0_1532,plain,
    ( leq(antidomain(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),X_837))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),X_837))))) != true
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),X_837)) != multiplication(codomain(sK2_goals_X0),X_837)
    | leq(antidomain(multiplication(codomain(sK2_goals_X0),X_837)),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),X_837))))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(leq(antidomain(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),X_837))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),X_837))))),true) ),[0,0,0],$fot(multiplication(codomain(sK2_goals_X0),X_837))]]) ).

cnf(refute_0_1533,plain,
    ( leq(antidomain(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),X_837))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),X_837))))) != true
    | leq(antidomain(multiplication(codomain(sK2_goals_X0),X_837)),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),X_837))))) = true ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),X_837)),multiplication(codomain(sK2_goals_X0),X_837)) )],[refute_0_1531,refute_0_1532]) ).

cnf(refute_0_1534,plain,
    leq(antidomain(multiplication(codomain(sK2_goals_X0),X_837)),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),X_837))))) = true,
    inference(resolve,[$cnf( $equal(leq(antidomain(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),X_837))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),X_837))))),true) )],[refute_0_1480,refute_0_1533]) ).

cnf(refute_0_1535,plain,
    leq(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = true,
    inference(subst,[],[refute_0_1534:[bind(X_837,$fot(domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))]]) ).

cnf(refute_0_1536,plain,
    multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))))]]) ).

cnf(refute_0_1537,plain,
    addition(coantidomain(multiplication(X_427,multiplication(X_57,coantidomain(multiplication(X_427,X_57))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))),
    inference(subst,[],[refute_0_224:[bind(X0,$fot(X_427)),bind(X1,$fot(multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))]]) ).

cnf(refute_0_1538,plain,
    multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(multiplication(X_56,X_57)))]]) ).

cnf(refute_0_1539,plain,
    multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))) = multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))),
    inference(subst,[],[multiplicative_associativity:[bind(A,$fot(X_56)),bind(B,$fot(X_57)),bind(C,$fot(coantidomain(multiplication(X_56,X_57))))]]) ).

cnf(refute_0_1540,plain,
    ( multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))) != multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57)))
    | multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))) = multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))))),bind(Y,$fot(multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57)))))]]) ).

cnf(refute_0_1541,plain,
    multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))) = multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))),
    inference(resolve,[$cnf( $equal(multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))),multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57)))) )],[refute_0_1539,refute_0_1540]) ).

cnf(refute_0_1542,plain,
    ( multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))) != multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57))))
    | multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))) != zero
    | multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))),zero) ),[0],$fot(multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))))]]) ).

cnf(refute_0_1543,plain,
    ( multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))) != zero
    | multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))),multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57))))) )],[refute_0_1541,refute_0_1542]) ).

cnf(refute_0_1544,plain,
    multiplication(X_56,multiplication(X_57,coantidomain(multiplication(X_56,X_57)))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(X_56,X_57),coantidomain(multiplication(X_56,X_57))),zero) )],[refute_0_1538,refute_0_1543]) ).

cnf(refute_0_1545,plain,
    multiplication(X_427,multiplication(X_57,coantidomain(multiplication(X_427,X_57)))) = zero,
    inference(subst,[],[refute_0_1544:[bind(X_56,$fot(X_427))]]) ).

cnf(refute_0_1546,plain,
    ( addition(coantidomain(multiplication(X_427,multiplication(X_57,coantidomain(multiplication(X_427,X_57))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))
    | multiplication(X_427,multiplication(X_57,coantidomain(multiplication(X_427,X_57)))) != zero
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X_427,multiplication(X_57,coantidomain(multiplication(X_427,X_57))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_1547,plain,
    ( addition(coantidomain(multiplication(X_427,multiplication(X_57,coantidomain(multiplication(X_427,X_57))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_427,multiplication(X_57,coantidomain(multiplication(X_427,X_57)))),zero) )],[refute_0_1545,refute_0_1546]) ).

cnf(refute_0_1548,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_427,multiplication(X_57,coantidomain(multiplication(X_427,X_57))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) )],[refute_0_1537,refute_0_1547]) ).

cnf(refute_0_1549,plain,
    addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = one,
    inference(subst,[],[refute_0_705:[bind(X_164,$fot(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))))]]) ).

cnf(refute_0_1550,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))))]]) ).

cnf(refute_0_1551,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))))
    | coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1552,plain,
    ( coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))))) )],[refute_0_1550,refute_0_1551]) ).

cnf(refute_0_1553,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),
    inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_738,refute_0_1552]) ).

cnf(refute_0_1554,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))))
    | addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))))),bind(Y,$fot(addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_1555,plain,
    ( addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))))) )],[refute_0_1553,refute_0_1554]) ).

cnf(refute_0_1556,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) = one,
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),one) )],[refute_0_1549,refute_0_1555]) ).

cnf(refute_0_1557,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != one
    | one = coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) ),[0],$fot(one)]]) ).

cnf(refute_0_1558,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) != coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))
    | one = coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),one) )],[refute_0_1556,refute_0_1557]) ).

cnf(refute_0_1559,plain,
    one = coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57))))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))),coantidomain(multiplication(codomain(X_427),multiplication(X_57,coantidomain(multiplication(X_427,X_57)))))) )],[refute_0_1548,refute_0_1558]) ).

cnf(refute_0_1560,plain,
    one = coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))),
    inference(subst,[],[refute_0_1559:[bind(X_427,$fot(X_475)),bind(X_57,$fot(X_476))]]) ).

cnf(refute_0_1561,plain,
    ( one != coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))
    | coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))))]]) ).

cnf(refute_0_1562,plain,
    coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))) = one,
    inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))) )],[refute_0_1560,refute_0_1561]) ).

cnf(refute_0_1563,plain,
    ( coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))) != one
    | multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))) != zero
    | multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))),zero) ),[0,1],$fot(one)]]) ).

cnf(refute_0_1564,plain,
    ( multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))) != zero
    | multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one) = zero ),
    inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))),one) )],[refute_0_1562,refute_0_1563]) ).

cnf(refute_0_1565,plain,
    multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),coantidomain(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))),zero) )],[refute_0_1536,refute_0_1564]) ).

cnf(refute_0_1566,plain,
    multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one) = multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))))]]) ).

cnf(refute_0_1567,plain,
    ( multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one) != multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))
    | multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one) != zero
    | multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one),zero) ),[0],$fot(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))))]]) ).

cnf(refute_0_1568,plain,
    ( multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one) != zero
    | multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one),multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476))))) )],[refute_0_1566,refute_0_1567]) ).

cnf(refute_0_1569,plain,
    multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(X_475),multiplication(X_476,coantidomain(multiplication(X_475,X_476)))),one),zero) )],[refute_0_1565,refute_0_1568]) ).

cnf(refute_0_1570,plain,
    multiplication(codomain(X_475),multiplication(addition(coantidomain(X_475),X_603),coantidomain(multiplication(X_475,addition(coantidomain(X_475),X_603))))) = zero,
    inference(subst,[],[refute_0_1569:[bind(X_476,$fot(addition(coantidomain(X_475),X_603)))]]) ).

cnf(refute_0_1571,plain,
    multiplication(X_475,addition(coantidomain(X_475),X_603)) = multiplication(X_475,X_603),
    inference(subst,[],[refute_0_987:[bind(X_215,$fot(X_475)),bind(X_217,$fot(X_603))]]) ).

cnf(refute_0_1572,plain,
    ( multiplication(X_475,addition(coantidomain(X_475),X_603)) != multiplication(X_475,X_603)
    | multiplication(codomain(X_475),multiplication(addition(coantidomain(X_475),X_603),coantidomain(multiplication(X_475,addition(coantidomain(X_475),X_603))))) != zero
    | multiplication(codomain(X_475),multiplication(addition(coantidomain(X_475),X_603),coantidomain(multiplication(X_475,X_603)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X_475),multiplication(addition(coantidomain(X_475),X_603),coantidomain(multiplication(X_475,addition(coantidomain(X_475),X_603))))),zero) ),[0,1,1,0],$fot(multiplication(X_475,X_603))]]) ).

cnf(refute_0_1573,plain,
    ( multiplication(codomain(X_475),multiplication(addition(coantidomain(X_475),X_603),coantidomain(multiplication(X_475,addition(coantidomain(X_475),X_603))))) != zero
    | multiplication(codomain(X_475),multiplication(addition(coantidomain(X_475),X_603),coantidomain(multiplication(X_475,X_603)))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(X_475,addition(coantidomain(X_475),X_603)),multiplication(X_475,X_603)) )],[refute_0_1571,refute_0_1572]) ).

cnf(refute_0_1574,plain,
    multiplication(codomain(X_475),multiplication(addition(coantidomain(X_475),X_603),coantidomain(multiplication(X_475,X_603)))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(codomain(X_475),multiplication(addition(coantidomain(X_475),X_603),coantidomain(multiplication(X_475,addition(coantidomain(X_475),X_603))))),zero) )],[refute_0_1570,refute_0_1573]) ).

cnf(refute_0_1575,plain,
    multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = zero,
    inference(subst,[],[refute_0_1574:[bind(X_475,$fot(sK2_goals_X0)),bind(X_603,$fot(domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))]]) ).

cnf(refute_0_1576,plain,
    zero = multiplication(antidomain(multiplication(X_247,multiplication(X_57,coantidomain(multiplication(X_247,X_57))))),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),
    inference(subst,[],[refute_0_233:[bind(X0,$fot(X_247)),bind(X1,$fot(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))]]) ).

cnf(refute_0_1577,plain,
    multiplication(X_247,multiplication(X_57,coantidomain(multiplication(X_247,X_57)))) = zero,
    inference(subst,[],[refute_0_1544:[bind(X_56,$fot(X_247))]]) ).

cnf(refute_0_1578,plain,
    ( multiplication(X_247,multiplication(X_57,coantidomain(multiplication(X_247,X_57)))) != zero
    | zero != multiplication(antidomain(multiplication(X_247,multiplication(X_57,coantidomain(multiplication(X_247,X_57))))),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))
    | zero = multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(multiplication(X_247,multiplication(X_57,coantidomain(multiplication(X_247,X_57))))),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))) ),[1,0,0],$fot(zero)]]) ).

cnf(refute_0_1579,plain,
    ( zero != multiplication(antidomain(multiplication(X_247,multiplication(X_57,coantidomain(multiplication(X_247,X_57))))),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))
    | zero = multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_247,multiplication(X_57,coantidomain(multiplication(X_247,X_57)))),zero) )],[refute_0_1577,refute_0_1578]) ).

cnf(refute_0_1580,plain,
    zero = multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),
    inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(multiplication(X_247,multiplication(X_57,coantidomain(multiplication(X_247,X_57))))),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))) )],[refute_0_1576,refute_0_1579]) ).

cnf(refute_0_1581,plain,
    multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) = multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))))]]) ).

cnf(refute_0_1582,plain,
    multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) = multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))))]]) ).

cnf(refute_0_1583,plain,
    ( antidomain(zero) != one
    | multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) != multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))
    | multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) = multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1584,plain,
    ( antidomain(zero) != one
    | multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) = multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))) )],[refute_0_1582,refute_0_1583]) ).

cnf(refute_0_1585,plain,
    multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) = multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),
    inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_130,refute_0_1584]) ).

cnf(refute_0_1586,plain,
    ( multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) != multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))
    | multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) != multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))
    | multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) = multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))))),bind(Y,$fot(multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))))),bind(Z,$fot(multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))))]]) ).

cnf(refute_0_1587,plain,
    ( multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) != multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))
    | multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) = multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))) )],[refute_0_1585,refute_0_1586]) ).

cnf(refute_0_1588,plain,
    multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) = multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))),
    inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) )],[refute_0_1581,refute_0_1587]) ).

cnf(refute_0_1589,plain,
    ( multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) != multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))
    | zero != multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))
    | zero = multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))) ),[1],$fot(multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))]]) ).

cnf(refute_0_1590,plain,
    ( zero != multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))
    | zero = multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57)))))) )],[refute_0_1588,refute_0_1589]) ).

cnf(refute_0_1591,plain,
    zero = multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))),
    inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(zero),multiplication(X_247,domain(multiplication(X_57,coantidomain(multiplication(X_247,X_57))))))) )],[refute_0_1580,refute_0_1590]) ).

cnf(refute_0_1592,plain,
    zero = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),C),coantidomain(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)))))),
    inference(subst,[],[refute_0_1591:[bind(X_247,$fot(sK2_goals_X0)),bind(X_57,$fot(addition(coantidomain(sK1_goals_X1),C)))]]) ).

cnf(refute_0_1593,plain,
    multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) = addition(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)),multiplication(sK2_goals_X0,C)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(sK2_goals_X0)),bind(B,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1594,plain,
    ( multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) != addition(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)),multiplication(sK2_goals_X0,C))
    | multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)) != zero
    | multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) = addition(zero,multiplication(sK2_goals_X0,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)),addition(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)),multiplication(sK2_goals_X0,C))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1595,plain,
    ( multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) != addition(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)),multiplication(sK2_goals_X0,C))
    | multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) = addition(zero,multiplication(sK2_goals_X0,C)) ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)),zero) )],[refute_0_1500,refute_0_1594]) ).

cnf(refute_0_1596,plain,
    multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) = addition(zero,multiplication(sK2_goals_X0,C)),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)),addition(multiplication(sK2_goals_X0,coantidomain(sK1_goals_X1)),multiplication(sK2_goals_X0,C))) )],[refute_0_1593,refute_0_1595]) ).

cnf(refute_0_1597,plain,
    addition(zero,multiplication(sK2_goals_X0,C)) = multiplication(sK2_goals_X0,C),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(sK2_goals_X0,C)))]]) ).

cnf(refute_0_1598,plain,
    ( addition(zero,multiplication(sK2_goals_X0,C)) != multiplication(sK2_goals_X0,C)
    | multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) != addition(zero,multiplication(sK2_goals_X0,C))
    | multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) = multiplication(sK2_goals_X0,C) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)),addition(zero,multiplication(sK2_goals_X0,C))) ),[1],$fot(multiplication(sK2_goals_X0,C))]]) ).

cnf(refute_0_1599,plain,
    ( multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) != addition(zero,multiplication(sK2_goals_X0,C))
    | multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) = multiplication(sK2_goals_X0,C) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(sK2_goals_X0,C)),multiplication(sK2_goals_X0,C)) )],[refute_0_1597,refute_0_1598]) ).

cnf(refute_0_1600,plain,
    multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) = multiplication(sK2_goals_X0,C),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)),addition(zero,multiplication(sK2_goals_X0,C))) )],[refute_0_1596,refute_0_1599]) ).

cnf(refute_0_1601,plain,
    ( multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)) != multiplication(sK2_goals_X0,C)
    | zero != multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),C),coantidomain(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C))))))
    | zero = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),C),coantidomain(multiplication(sK2_goals_X0,C))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),C),coantidomain(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C))))))) ),[1,1,0,1,0],$fot(multiplication(sK2_goals_X0,C))]]) ).

cnf(refute_0_1602,plain,
    ( zero != multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),C),coantidomain(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C))))))
    | zero = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),C),coantidomain(multiplication(sK2_goals_X0,C))))) ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C)),multiplication(sK2_goals_X0,C)) )],[refute_0_1600,refute_0_1601]) ).

cnf(refute_0_1603,plain,
    zero = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),C),coantidomain(multiplication(sK2_goals_X0,C))))),
    inference(resolve,[$cnf( $equal(zero,multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),C),coantidomain(multiplication(sK2_goals_X0,addition(coantidomain(sK1_goals_X1),C))))))) )],[refute_0_1592,refute_0_1602]) ).

cnf(refute_0_1604,plain,
    zero = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))))),
    inference(subst,[],[refute_0_1603:[bind(C,$fot(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1605,plain,
    multiplication(sK2_goals_X0,addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(subst,[],[refute_0_987:[bind(X_215,$fot(sK2_goals_X0)),bind(X_217,$fot(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1606,plain,
    ifeq(leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(subst,[],[refute_0_1216:[bind(X_27,$fot(codomain(sK2_goals_X0))),bind(X_28,$fot(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_1607,plain,
    ifeq2(addition(X_32,X_33),X_33,leq(X_32,X_33),true) = true,
    inference(subst,[],[order:[bind(A,$fot(X_32)),bind(B,$fot(X_33))]]) ).

cnf(refute_0_1608,plain,
    addition(X_33,X_32) = addition(X_32,X_33),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(X_33)),bind(B,$fot(X_32))]]) ).

cnf(refute_0_1609,plain,
    ( addition(X_33,X_32) != addition(X_32,X_33)
    | addition(X_32,X_33) = addition(X_33,X_32) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_33,X_32))),bind(Y,$fot(addition(X_32,X_33)))]]) ).

cnf(refute_0_1610,plain,
    addition(X_32,X_33) = addition(X_33,X_32),
    inference(resolve,[$cnf( $equal(addition(X_33,X_32),addition(X_32,X_33)) )],[refute_0_1608,refute_0_1609]) ).

cnf(refute_0_1611,plain,
    ( addition(X_32,X_33) != addition(X_33,X_32)
    | ifeq2(addition(X_32,X_33),X_33,leq(X_32,X_33),true) != true
    | ifeq2(addition(X_33,X_32),X_33,leq(X_32,X_33),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(addition(X_32,X_33),X_33,leq(X_32,X_33),true),true) ),[0,0],$fot(addition(X_33,X_32))]]) ).

cnf(refute_0_1612,plain,
    ( ifeq2(addition(X_32,X_33),X_33,leq(X_32,X_33),true) != true
    | ifeq2(addition(X_33,X_32),X_33,leq(X_32,X_33),true) = true ),
    inference(resolve,[$cnf( $equal(addition(X_32,X_33),addition(X_33,X_32)) )],[refute_0_1610,refute_0_1611]) ).

cnf(refute_0_1613,plain,
    ifeq2(addition(X_33,X_32),X_33,leq(X_32,X_33),true) = true,
    inference(resolve,[$cnf( $equal(ifeq2(addition(X_32,X_33),X_33,leq(X_32,X_33),true),true) )],[refute_0_1607,refute_0_1612]) ).

cnf(refute_0_1614,plain,
    ifeq2(addition(X_33,multiplication(X_84,X_33)),X_33,leq(multiplication(X_84,X_33),X_33),true) = true,
    inference(subst,[],[refute_0_1613:[bind(X_32,$fot(multiplication(X_84,X_33)))]]) ).

cnf(refute_0_1615,plain,
    multiplication(addition(one,X_84),X_33) = addition(X_33,multiplication(X_84,X_33)),
    inference(subst,[],[refute_0_4:[bind(X_73,$fot(X_84)),bind(X_74,$fot(X_33))]]) ).

cnf(refute_0_1616,plain,
    ( multiplication(addition(one,X_84),X_33) != addition(X_33,multiplication(X_84,X_33))
    | addition(X_33,multiplication(X_84,X_33)) = multiplication(addition(one,X_84),X_33) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(addition(one,X_84),X_33))),bind(Y,$fot(addition(X_33,multiplication(X_84,X_33))))]]) ).

cnf(refute_0_1617,plain,
    addition(X_33,multiplication(X_84,X_33)) = multiplication(addition(one,X_84),X_33),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,X_84),X_33),addition(X_33,multiplication(X_84,X_33))) )],[refute_0_1615,refute_0_1616]) ).

cnf(refute_0_1618,plain,
    ( addition(X_33,multiplication(X_84,X_33)) != multiplication(addition(one,X_84),X_33)
    | ifeq2(addition(X_33,multiplication(X_84,X_33)),X_33,leq(multiplication(X_84,X_33),X_33),true) != true
    | ifeq2(multiplication(addition(one,X_84),X_33),X_33,leq(multiplication(X_84,X_33),X_33),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(addition(X_33,multiplication(X_84,X_33)),X_33,leq(multiplication(X_84,X_33),X_33),true),true) ),[0,0],$fot(multiplication(addition(one,X_84),X_33))]]) ).

cnf(refute_0_1619,plain,
    ( ifeq2(addition(X_33,multiplication(X_84,X_33)),X_33,leq(multiplication(X_84,X_33),X_33),true) != true
    | ifeq2(multiplication(addition(one,X_84),X_33),X_33,leq(multiplication(X_84,X_33),X_33),true) = true ),
    inference(resolve,[$cnf( $equal(addition(X_33,multiplication(X_84,X_33)),multiplication(addition(one,X_84),X_33)) )],[refute_0_1617,refute_0_1618]) ).

cnf(refute_0_1620,plain,
    ifeq2(multiplication(addition(one,X_84),X_33),X_33,leq(multiplication(X_84,X_33),X_33),true) = true,
    inference(resolve,[$cnf( $equal(ifeq2(addition(X_33,multiplication(X_84,X_33)),X_33,leq(multiplication(X_84,X_33),X_33),true),true) )],[refute_0_1614,refute_0_1619]) ).

cnf(refute_0_1621,plain,
    ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C)),true) = true,
    inference(subst,[],[refute_0_1620:[bind(X_33,$fot(addition(coantidomain(sK1_goals_X1),C))),bind(X_84,$fot(codomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1622,plain,
    ( ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C)),true) != true
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)) != multiplication(codomain(sK2_goals_X0),C)
    | ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C)),true),true) ),[0,2,0],$fot(multiplication(codomain(sK2_goals_X0),C))]]) ).

cnf(refute_0_1623,plain,
    ( ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C)),true) != true
    | ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = true ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),multiplication(codomain(sK2_goals_X0),C)) )],[refute_0_1530,refute_0_1622]) ).

cnf(refute_0_1624,plain,
    ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C)),true),true) )],[refute_0_1621,refute_0_1623]) ).

cnf(refute_0_1625,plain,
    ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(addition(coantidomain(sK1_goals_X1),C))),bind(B,$fot(leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)))),bind(C,$fot(true))]]) ).

cnf(refute_0_1626,plain,
    multiplication(one,addition(coantidomain(sK1_goals_X1),C)) = addition(coantidomain(sK1_goals_X1),C),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(addition(coantidomain(sK1_goals_X1),C)))]]) ).

cnf(refute_0_1627,plain,
    one = addition(one,coantidomain(codomain(coantidomain(X_7)))),
    inference(subst,[],[refute_0_281:[bind(X_164,$fot(coantidomain(X_7)))]]) ).

cnf(refute_0_1628,plain,
    ( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
    | one != addition(one,coantidomain(codomain(coantidomain(X_7))))
    | one = addition(one,coantidomain(coantidomain(codomain(X_7)))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,addition(one,coantidomain(codomain(coantidomain(X_7))))) ),[1,1,0],$fot(coantidomain(codomain(X_7)))]]) ).

cnf(refute_0_1629,plain,
    ( one != addition(one,coantidomain(codomain(coantidomain(X_7))))
    | one = addition(one,coantidomain(coantidomain(codomain(X_7)))) ),
    inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_261,refute_0_1628]) ).

cnf(refute_0_1630,plain,
    one = addition(one,coantidomain(coantidomain(codomain(X_7)))),
    inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(codomain(coantidomain(X_7))))) )],[refute_0_1627,refute_0_1629]) ).

cnf(refute_0_1631,plain,
    addition(codomain(X_164),addition(coantidomain(codomain(X_164)),codomain(codomain(X_164)))) = addition(one,codomain(codomain(X_164))),
    inference(subst,[],[refute_0_272:[bind(X0,$fot(X_164)),bind(X_161,$fot(codomain(codomain(X_164))))]]) ).

cnf(refute_0_1632,plain,
    addition(coantidomain(codomain(X_164)),codomain(codomain(X_164))) = one,
    inference(subst,[],[refute_0_250:[bind(X0,$fot(codomain(X_164)))]]) ).

cnf(refute_0_1633,plain,
    ( addition(coantidomain(codomain(X_164)),codomain(codomain(X_164))) != one
    | addition(codomain(X_164),addition(coantidomain(codomain(X_164)),codomain(codomain(X_164)))) != addition(one,codomain(codomain(X_164)))
    | addition(codomain(X_164),one) = addition(one,codomain(codomain(X_164))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_164),addition(coantidomain(codomain(X_164)),codomain(codomain(X_164)))),addition(one,codomain(codomain(X_164)))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_1634,plain,
    ( addition(codomain(X_164),addition(coantidomain(codomain(X_164)),codomain(codomain(X_164)))) != addition(one,codomain(codomain(X_164)))
    | addition(codomain(X_164),one) = addition(one,codomain(codomain(X_164))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_164)),codomain(codomain(X_164))),one) )],[refute_0_1632,refute_0_1633]) ).

cnf(refute_0_1635,plain,
    addition(codomain(X_164),one) = addition(one,codomain(codomain(X_164))),
    inference(resolve,[$cnf( $equal(addition(codomain(X_164),addition(coantidomain(codomain(X_164)),codomain(codomain(X_164)))),addition(one,codomain(codomain(X_164)))) )],[refute_0_1631,refute_0_1634]) ).

cnf(refute_0_1636,plain,
    addition(codomain(X_164),one) = addition(one,codomain(X_164)),
    inference(subst,[],[refute_0_50:[bind(A,$fot(one)),bind(B,$fot(codomain(X_164)))]]) ).

cnf(refute_0_1637,plain,
    ( addition(codomain(X_164),one) != addition(one,codomain(X_164))
    | addition(codomain(X_164),one) != addition(one,codomain(codomain(X_164)))
    | addition(one,codomain(X_164)) = addition(one,codomain(codomain(X_164))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_164),one),addition(one,codomain(codomain(X_164)))) ),[0],$fot(addition(one,codomain(X_164)))]]) ).

cnf(refute_0_1638,plain,
    ( addition(codomain(X_164),one) != addition(one,codomain(codomain(X_164)))
    | addition(one,codomain(X_164)) = addition(one,codomain(codomain(X_164))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X_164),one),addition(one,codomain(X_164))) )],[refute_0_1636,refute_0_1637]) ).

cnf(refute_0_1639,plain,
    addition(one,codomain(X_164)) = addition(one,codomain(codomain(X_164))),
    inference(resolve,[$cnf( $equal(addition(codomain(X_164),one),addition(one,codomain(codomain(X_164)))) )],[refute_0_1635,refute_0_1638]) ).

cnf(refute_0_1640,plain,
    ( addition(one,codomain(X_164)) != addition(one,codomain(codomain(X_164)))
    | addition(one,codomain(codomain(X_164))) = addition(one,codomain(X_164)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(one,codomain(X_164)))),bind(Y,$fot(addition(one,codomain(codomain(X_164)))))]]) ).

cnf(refute_0_1641,plain,
    addition(one,codomain(codomain(X_164))) = addition(one,codomain(X_164)),
    inference(resolve,[$cnf( $equal(addition(one,codomain(X_164)),addition(one,codomain(codomain(X_164)))) )],[refute_0_1639,refute_0_1640]) ).

cnf(refute_0_1642,plain,
    addition(one,codomain(codomain(X_7))) = addition(one,codomain(X_7)),
    inference(subst,[],[refute_0_1641:[bind(X_164,$fot(X_7))]]) ).

cnf(refute_0_1643,plain,
    addition(one,coantidomain(coantidomain(codomain(X_7)))) = addition(one,coantidomain(coantidomain(codomain(X_7)))),
    introduced(tautology,[refl,[$fot(addition(one,coantidomain(coantidomain(codomain(X_7)))))]]) ).

cnf(refute_0_1644,plain,
    ( addition(one,coantidomain(coantidomain(codomain(X_7)))) != addition(one,coantidomain(coantidomain(codomain(X_7))))
    | coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
    | addition(one,coantidomain(coantidomain(codomain(X_7)))) = addition(one,codomain(codomain(X_7))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,coantidomain(coantidomain(codomain(X_7)))),addition(one,coantidomain(coantidomain(codomain(X_7))))) ),[1,1],$fot(codomain(codomain(X_7)))]]) ).

cnf(refute_0_1645,plain,
    ( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
    | addition(one,coantidomain(coantidomain(codomain(X_7)))) = addition(one,codomain(codomain(X_7))) ),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(coantidomain(codomain(X_7)))),addition(one,coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_1643,refute_0_1644]) ).

cnf(refute_0_1646,plain,
    addition(one,coantidomain(coantidomain(codomain(X_7)))) = addition(one,codomain(codomain(X_7))),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X_7))),codomain(codomain(X_7))) )],[refute_0_416,refute_0_1645]) ).

cnf(refute_0_1647,plain,
    ( addition(one,coantidomain(coantidomain(codomain(X_7)))) != addition(one,codomain(codomain(X_7)))
    | addition(one,codomain(codomain(X_7))) != addition(one,codomain(X_7))
    | addition(one,coantidomain(coantidomain(codomain(X_7)))) = addition(one,codomain(X_7)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(one,coantidomain(coantidomain(codomain(X_7)))))),bind(Y,$fot(addition(one,codomain(codomain(X_7))))),bind(Z,$fot(addition(one,codomain(X_7))))]]) ).

cnf(refute_0_1648,plain,
    ( addition(one,codomain(codomain(X_7))) != addition(one,codomain(X_7))
    | addition(one,coantidomain(coantidomain(codomain(X_7)))) = addition(one,codomain(X_7)) ),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(coantidomain(codomain(X_7)))),addition(one,codomain(codomain(X_7)))) )],[refute_0_1646,refute_0_1647]) ).

cnf(refute_0_1649,plain,
    addition(one,coantidomain(coantidomain(codomain(X_7)))) = addition(one,codomain(X_7)),
    inference(resolve,[$cnf( $equal(addition(one,codomain(codomain(X_7))),addition(one,codomain(X_7))) )],[refute_0_1642,refute_0_1648]) ).

cnf(refute_0_1650,plain,
    ( addition(one,coantidomain(coantidomain(codomain(X_7)))) != addition(one,codomain(X_7))
    | one != addition(one,coantidomain(coantidomain(codomain(X_7))))
    | one = addition(one,codomain(X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(one,addition(one,coantidomain(coantidomain(codomain(X_7))))) ),[1],$fot(addition(one,codomain(X_7)))]]) ).

cnf(refute_0_1651,plain,
    ( one != addition(one,coantidomain(coantidomain(codomain(X_7))))
    | one = addition(one,codomain(X_7)) ),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(coantidomain(codomain(X_7)))),addition(one,codomain(X_7))) )],[refute_0_1649,refute_0_1650]) ).

cnf(refute_0_1652,plain,
    one = addition(one,codomain(X_7)),
    inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_1630,refute_0_1651]) ).

cnf(refute_0_1653,plain,
    ( one != addition(one,codomain(X_7))
    | addition(one,codomain(X_7)) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(addition(one,codomain(X_7))))]]) ).

cnf(refute_0_1654,plain,
    addition(one,codomain(X_7)) = one,
    inference(resolve,[$cnf( $equal(one,addition(one,codomain(X_7))) )],[refute_0_1652,refute_0_1653]) ).

cnf(refute_0_1655,plain,
    addition(one,codomain(sK2_goals_X0)) = one,
    inference(subst,[],[refute_0_1654:[bind(X_7,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_1656,plain,
    multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) = multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),
    introduced(tautology,[refl,[$fot(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)))]]) ).

cnf(refute_0_1657,plain,
    ( addition(one,codomain(sK2_goals_X0)) != one
    | multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) != multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C))
    | multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) = multiplication(one,addition(coantidomain(sK1_goals_X1),C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1658,plain,
    ( addition(one,codomain(sK2_goals_X0)) != one
    | multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) = multiplication(one,addition(coantidomain(sK1_goals_X1),C)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C))) )],[refute_0_1656,refute_0_1657]) ).

cnf(refute_0_1659,plain,
    multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) = multiplication(one,addition(coantidomain(sK1_goals_X1),C)),
    inference(resolve,[$cnf( $equal(addition(one,codomain(sK2_goals_X0)),one) )],[refute_0_1655,refute_0_1658]) ).

cnf(refute_0_1660,plain,
    ( multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) != multiplication(one,addition(coantidomain(sK1_goals_X1),C))
    | multiplication(one,addition(coantidomain(sK1_goals_X1),C)) != addition(coantidomain(sK1_goals_X1),C)
    | multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) = addition(coantidomain(sK1_goals_X1),C) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)))),bind(Y,$fot(multiplication(one,addition(coantidomain(sK1_goals_X1),C)))),bind(Z,$fot(addition(coantidomain(sK1_goals_X1),C)))]]) ).

cnf(refute_0_1661,plain,
    ( multiplication(one,addition(coantidomain(sK1_goals_X1),C)) != addition(coantidomain(sK1_goals_X1),C)
    | multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) = addition(coantidomain(sK1_goals_X1),C) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),multiplication(one,addition(coantidomain(sK1_goals_X1),C))) )],[refute_0_1659,refute_0_1660]) ).

cnf(refute_0_1662,plain,
    multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) = addition(coantidomain(sK1_goals_X1),C),
    inference(resolve,[$cnf( $equal(multiplication(one,addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C)) )],[refute_0_1626,refute_0_1661]) ).

cnf(refute_0_1663,plain,
    ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),
    introduced(tautology,[refl,[$fot(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true))]]) ).

cnf(refute_0_1664,plain,
    ( ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) != ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true)
    | multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) != addition(coantidomain(sK1_goals_X1),C)
    | ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true)) ),[1,0],$fot(addition(coantidomain(sK1_goals_X1),C))]]) ).

cnf(refute_0_1665,plain,
    ( multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)) != addition(coantidomain(sK1_goals_X1),C)
    | ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) ),
    inference(resolve,[$cnf( $equal(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true)) )],[refute_0_1663,refute_0_1664]) ).

cnf(refute_0_1666,plain,
    ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C)) )],[refute_0_1662,refute_0_1665]) ).

cnf(refute_0_1667,plain,
    ( ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) != leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C))
    | ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) != ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true)
    | ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true))),bind(Y,$fot(ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true))),bind(Z,$fot(leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C))))]]) ).

cnf(refute_0_1668,plain,
    ( ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) != leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C))
    | ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)) ),
    inference(resolve,[$cnf( $equal(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true)) )],[refute_0_1666,refute_0_1667]) ).

cnf(refute_0_1669,plain,
    ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) = leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),
    inference(resolve,[$cnf( $equal(ifeq2(addition(coantidomain(sK1_goals_X1),C),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C))) )],[refute_0_1625,refute_0_1668]) ).

cnf(refute_0_1670,plain,
    ( ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) != leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C))
    | ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) != true
    | leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),true) ),[0],$fot(leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)))]]) ).

cnf(refute_0_1671,plain,
    ( ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true) != true
    | leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)) = true ),
    inference(resolve,[$cnf( $equal(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C))) )],[refute_0_1669,refute_0_1670]) ).

cnf(refute_0_1672,plain,
    leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)) = true,
    inference(resolve,[$cnf( $equal(ifeq2(multiplication(addition(one,codomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),C)),addition(coantidomain(sK1_goals_X1),C),leq(multiplication(codomain(sK2_goals_X0),C),addition(coantidomain(sK1_goals_X1),C)),true),true) )],[refute_0_1624,refute_0_1671]) ).

cnf(refute_0_1673,plain,
    leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) = true,
    inference(subst,[],[refute_0_1672:[bind(C,$fot(addition(coantidomain(codomain(sK2_goals_X0)),X_217)))]]) ).

cnf(refute_0_1674,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) = multiplication(codomain(sK2_goals_X0),X_217),
    inference(subst,[],[refute_0_987:[bind(X_215,$fot(codomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1675,plain,
    ( leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) != true
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) != multiplication(codomain(sK2_goals_X0),X_217)
    | leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))),true) ),[0,0],$fot(multiplication(codomain(sK2_goals_X0),X_217))]]) ).

cnf(refute_0_1676,plain,
    ( leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) != true
    | leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) = true ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),multiplication(codomain(sK2_goals_X0),X_217)) )],[refute_0_1674,refute_0_1675]) ).

cnf(refute_0_1677,plain,
    leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) = true,
    inference(resolve,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))),true) )],[refute_0_1673,refute_0_1676]) ).

cnf(refute_0_1678,plain,
    addition(A,addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) = addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A)),
    inference(subst,[],[refute_0_840:[bind(X_159,$fot(coantidomain(sK1_goals_X1))),bind(X_160,$fot(coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1679,plain,
    multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = addition(coantidomain(sK2_goals_X0),multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))),
    inference(subst,[],[refute_0_845:[bind(X_215,$fot(coantidomain(sK2_goals_X0))),bind(X_217,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1680,plain,
    multiplication(addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)),coantidomain(codomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))),
    inference(subst,[],[refute_0_290:[bind(X_72,$fot(coantidomain(sK2_goals_X0))),bind(X_73,$fot(codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1681,plain,
    addition(coantidomain(X0),addition(codomain(X0),X_161)) = addition(addition(coantidomain(X0),codomain(X0)),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(codomain(X0))),bind(C,$fot(X_161))]]) ).

cnf(refute_0_1682,plain,
    ( addition(coantidomain(X0),addition(codomain(X0),X_161)) != addition(addition(coantidomain(X0),codomain(X0)),X_161)
    | addition(coantidomain(X0),codomain(X0)) != one
    | addition(coantidomain(X0),addition(codomain(X0),X_161)) = addition(one,X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_161)),addition(addition(coantidomain(X0),codomain(X0)),X_161)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1683,plain,
    ( addition(coantidomain(X0),addition(codomain(X0),X_161)) != addition(addition(coantidomain(X0),codomain(X0)),X_161)
    | addition(coantidomain(X0),addition(codomain(X0),X_161)) = addition(one,X_161) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_250,refute_0_1682]) ).

cnf(refute_0_1684,plain,
    addition(coantidomain(X0),addition(codomain(X0),X_161)) = addition(one,X_161),
    inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_161)),addition(addition(coantidomain(X0),codomain(X0)),X_161)) )],[refute_0_1681,refute_0_1683]) ).

cnf(refute_0_1685,plain,
    addition(coantidomain(X_369),addition(codomain(X_369),addition(X_160,codomain(X_369)))) = addition(one,addition(X_160,codomain(X_369))),
    inference(subst,[],[refute_0_1684:[bind(X0,$fot(X_369)),bind(X_161,$fot(addition(X_160,codomain(X_369))))]]) ).

cnf(refute_0_1686,plain,
    addition(X_160,codomain(X_369)) = addition(codomain(X_369),addition(X_160,codomain(X_369))),
    inference(subst,[],[refute_0_1084:[bind(X_161,$fot(codomain(X_369)))]]) ).

cnf(refute_0_1687,plain,
    ( addition(X_160,codomain(X_369)) != addition(codomain(X_369),addition(X_160,codomain(X_369)))
    | addition(codomain(X_369),addition(X_160,codomain(X_369))) = addition(X_160,codomain(X_369)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_160,codomain(X_369)))),bind(Y,$fot(addition(codomain(X_369),addition(X_160,codomain(X_369)))))]]) ).

cnf(refute_0_1688,plain,
    addition(codomain(X_369),addition(X_160,codomain(X_369))) = addition(X_160,codomain(X_369)),
    inference(resolve,[$cnf( $equal(addition(X_160,codomain(X_369)),addition(codomain(X_369),addition(X_160,codomain(X_369)))) )],[refute_0_1686,refute_0_1687]) ).

cnf(refute_0_1689,plain,
    ( addition(coantidomain(X_369),addition(codomain(X_369),addition(X_160,codomain(X_369)))) != addition(one,addition(X_160,codomain(X_369)))
    | addition(codomain(X_369),addition(X_160,codomain(X_369))) != addition(X_160,codomain(X_369))
    | addition(coantidomain(X_369),addition(X_160,codomain(X_369))) = addition(one,addition(X_160,codomain(X_369))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_369),addition(codomain(X_369),addition(X_160,codomain(X_369)))),addition(one,addition(X_160,codomain(X_369)))) ),[0,1],$fot(addition(X_160,codomain(X_369)))]]) ).

cnf(refute_0_1690,plain,
    ( addition(coantidomain(X_369),addition(codomain(X_369),addition(X_160,codomain(X_369)))) != addition(one,addition(X_160,codomain(X_369)))
    | addition(coantidomain(X_369),addition(X_160,codomain(X_369))) = addition(one,addition(X_160,codomain(X_369))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X_369),addition(X_160,codomain(X_369))),addition(X_160,codomain(X_369))) )],[refute_0_1688,refute_0_1689]) ).

cnf(refute_0_1691,plain,
    addition(coantidomain(X_369),addition(X_160,codomain(X_369))) = addition(one,addition(X_160,codomain(X_369))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(X_369),addition(codomain(X_369),addition(X_160,codomain(X_369)))),addition(one,addition(X_160,codomain(X_369)))) )],[refute_0_1685,refute_0_1690]) ).

cnf(refute_0_1692,plain,
    addition(one,addition(X_359,domain(codomain(X_297)))) = addition(one,X_359),
    inference(subst,[],[refute_0_1094:[bind(X_353,$fot(codomain(X_297))),bind(X_354,$fot(X_359))]]) ).

cnf(refute_0_1693,plain,
    ( addition(one,addition(X_359,domain(codomain(X_297)))) != addition(one,X_359)
    | domain(codomain(X_297)) != codomain(X_297)
    | addition(one,addition(X_359,codomain(X_297))) = addition(one,X_359) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_359,domain(codomain(X_297)))),addition(one,X_359)) ),[0,1,1],$fot(codomain(X_297))]]) ).

cnf(refute_0_1694,plain,
    ( addition(one,addition(X_359,domain(codomain(X_297)))) != addition(one,X_359)
    | addition(one,addition(X_359,codomain(X_297))) = addition(one,X_359) ),
    inference(resolve,[$cnf( $equal(domain(codomain(X_297)),codomain(X_297)) )],[refute_0_1116,refute_0_1693]) ).

cnf(refute_0_1695,plain,
    addition(one,addition(X_359,codomain(X_297))) = addition(one,X_359),
    inference(resolve,[$cnf( $equal(addition(one,addition(X_359,domain(codomain(X_297)))),addition(one,X_359)) )],[refute_0_1692,refute_0_1694]) ).

cnf(refute_0_1696,plain,
    addition(one,addition(X_160,codomain(X_369))) = addition(one,X_160),
    inference(subst,[],[refute_0_1695:[bind(X_297,$fot(X_369)),bind(X_359,$fot(X_160))]]) ).

cnf(refute_0_1697,plain,
    ( addition(coantidomain(X_369),addition(X_160,codomain(X_369))) != addition(one,addition(X_160,codomain(X_369)))
    | addition(one,addition(X_160,codomain(X_369))) != addition(one,X_160)
    | addition(coantidomain(X_369),addition(X_160,codomain(X_369))) = addition(one,X_160) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(coantidomain(X_369),addition(X_160,codomain(X_369))),addition(one,X_160)) ),[0],$fot(addition(one,addition(X_160,codomain(X_369))))]]) ).

cnf(refute_0_1698,plain,
    ( addition(coantidomain(X_369),addition(X_160,codomain(X_369))) != addition(one,addition(X_160,codomain(X_369)))
    | addition(coantidomain(X_369),addition(X_160,codomain(X_369))) = addition(one,X_160) ),
    inference(resolve,[$cnf( $equal(addition(one,addition(X_160,codomain(X_369))),addition(one,X_160)) )],[refute_0_1696,refute_0_1697]) ).

cnf(refute_0_1699,plain,
    addition(coantidomain(X_369),addition(X_160,codomain(X_369))) = addition(one,X_160),
    inference(resolve,[$cnf( $equal(addition(coantidomain(X_369),addition(X_160,codomain(X_369))),addition(one,addition(X_160,codomain(X_369)))) )],[refute_0_1691,refute_0_1698]) ).

cnf(refute_0_1700,plain,
    addition(coantidomain(sK2_goals_X0),addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))) = addition(one,codomain(sK1_goals_X1)),
    inference(subst,[],[refute_0_1699:[bind(X_160,$fot(codomain(sK1_goals_X1))),bind(X_369,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_1701,plain,
    multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) = addition(codomain(sK1_goals_X1),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))),
    inference(subst,[],[refute_0_14:[bind(X_84,$fot(codomain(sK2_goals_X0))),bind(X_85,$fot(codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1702,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),codomain(sK1_goals_X1))) = multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)),
    inference(subst,[],[refute_0_1530:[bind(C,$fot(codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1703,plain,
    addition(coantidomain(sK1_goals_X1),codomain(sK1_goals_X1)) = one,
    inference(subst,[],[refute_0_250:[bind(X0,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_1704,plain,
    ( addition(coantidomain(sK1_goals_X1),codomain(sK1_goals_X1)) != one
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),codomain(sK1_goals_X1))) != multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))
    | multiplication(codomain(sK2_goals_X0),one) = multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),codomain(sK1_goals_X1))),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_1705,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),codomain(sK1_goals_X1))) != multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))
    | multiplication(codomain(sK2_goals_X0),one) = multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),codomain(sK1_goals_X1)),one) )],[refute_0_1703,refute_0_1704]) ).

cnf(refute_0_1706,plain,
    multiplication(codomain(sK2_goals_X0),one) = multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),codomain(sK1_goals_X1))),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))) )],[refute_0_1702,refute_0_1705]) ).

cnf(refute_0_1707,plain,
    multiplication(codomain(sK2_goals_X0),one) = codomain(sK2_goals_X0),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(codomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1708,plain,
    ( multiplication(codomain(sK2_goals_X0),one) != codomain(sK2_goals_X0)
    | multiplication(codomain(sK2_goals_X0),one) != multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))
    | codomain(sK2_goals_X0) = multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),one),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))) ),[0],$fot(codomain(sK2_goals_X0))]]) ).

cnf(refute_0_1709,plain,
    ( multiplication(codomain(sK2_goals_X0),one) != multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))
    | codomain(sK2_goals_X0) = multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),one),codomain(sK2_goals_X0)) )],[refute_0_1707,refute_0_1708]) ).

cnf(refute_0_1710,plain,
    codomain(sK2_goals_X0) = multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),one),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))) )],[refute_0_1706,refute_0_1709]) ).

cnf(refute_0_1711,plain,
    ( codomain(sK2_goals_X0) != multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))
    | multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)) = codomain(sK2_goals_X0) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(codomain(sK2_goals_X0))),bind(Y,$fot(multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1712,plain,
    multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)) = codomain(sK2_goals_X0),
    inference(resolve,[$cnf( $equal(codomain(sK2_goals_X0),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1))) )],[refute_0_1710,refute_0_1711]) ).

cnf(refute_0_1713,plain,
    ( multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) != addition(codomain(sK1_goals_X1),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)))
    | multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)) != codomain(sK2_goals_X0)
    | multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) = addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)),addition(codomain(sK1_goals_X1),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)))) ),[1,1],$fot(codomain(sK2_goals_X0))]]) ).

cnf(refute_0_1714,plain,
    ( multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) != addition(codomain(sK1_goals_X1),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)))
    | multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) = addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)),codomain(sK2_goals_X0)) )],[refute_0_1712,refute_0_1713]) ).

cnf(refute_0_1715,plain,
    multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) = addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)),addition(codomain(sK1_goals_X1),multiplication(codomain(sK2_goals_X0),codomain(sK1_goals_X1)))) )],[refute_0_1701,refute_0_1714]) ).

cnf(refute_0_1716,plain,
    multiplication(one,codomain(sK1_goals_X1)) = codomain(sK1_goals_X1),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1717,plain,
    multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) = multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)),
    introduced(tautology,[refl,[$fot(multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1718,plain,
    ( addition(one,codomain(sK2_goals_X0)) != one
    | multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) != multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1))
    | multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) = multiplication(one,codomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)),multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1719,plain,
    ( addition(one,codomain(sK2_goals_X0)) != one
    | multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) = multiplication(one,codomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)),multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1))) )],[refute_0_1717,refute_0_1718]) ).

cnf(refute_0_1720,plain,
    multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) = multiplication(one,codomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(addition(one,codomain(sK2_goals_X0)),one) )],[refute_0_1655,refute_0_1719]) ).

cnf(refute_0_1721,plain,
    ( multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) != multiplication(one,codomain(sK1_goals_X1))
    | multiplication(one,codomain(sK1_goals_X1)) != codomain(sK1_goals_X1)
    | multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) = codomain(sK1_goals_X1) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)))),bind(Y,$fot(multiplication(one,codomain(sK1_goals_X1)))),bind(Z,$fot(codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1722,plain,
    ( multiplication(one,codomain(sK1_goals_X1)) != codomain(sK1_goals_X1)
    | multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) = codomain(sK1_goals_X1) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)),multiplication(one,codomain(sK1_goals_X1))) )],[refute_0_1720,refute_0_1721]) ).

cnf(refute_0_1723,plain,
    multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) = codomain(sK1_goals_X1),
    inference(resolve,[$cnf( $equal(multiplication(one,codomain(sK1_goals_X1)),codomain(sK1_goals_X1)) )],[refute_0_1716,refute_0_1722]) ).

cnf(refute_0_1724,plain,
    multiplication(addition(codomain(antidomain(C)),B),C) = addition(multiplication(codomain(antidomain(C)),C),multiplication(B,C)),
    inference(subst,[],[left_distributivity:[bind(A,$fot(codomain(antidomain(C))))]]) ).

cnf(refute_0_1725,plain,
    ( multiplication(addition(codomain(antidomain(C)),B),C) != addition(multiplication(codomain(antidomain(C)),C),multiplication(B,C))
    | multiplication(codomain(antidomain(C)),C) != zero
    | multiplication(addition(codomain(antidomain(C)),B),C) = addition(zero,multiplication(B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(antidomain(C)),B),C),addition(multiplication(codomain(antidomain(C)),C),multiplication(B,C))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1726,plain,
    ( multiplication(addition(codomain(antidomain(C)),B),C) != addition(multiplication(codomain(antidomain(C)),C),multiplication(B,C))
    | multiplication(addition(codomain(antidomain(C)),B),C) = addition(zero,multiplication(B,C)) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(C)),C),zero) )],[refute_0_931,refute_0_1725]) ).

cnf(refute_0_1727,plain,
    multiplication(addition(codomain(antidomain(C)),B),C) = addition(zero,multiplication(B,C)),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(antidomain(C)),B),C),addition(multiplication(codomain(antidomain(C)),C),multiplication(B,C))) )],[refute_0_1724,refute_0_1726]) ).

cnf(refute_0_1728,plain,
    addition(zero,multiplication(B,C)) = multiplication(B,C),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(B,C)))]]) ).

cnf(refute_0_1729,plain,
    ( addition(zero,multiplication(B,C)) != multiplication(B,C)
    | multiplication(addition(codomain(antidomain(C)),B),C) != addition(zero,multiplication(B,C))
    | multiplication(addition(codomain(antidomain(C)),B),C) = multiplication(B,C) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(antidomain(C)),B),C),addition(zero,multiplication(B,C))) ),[1],$fot(multiplication(B,C))]]) ).

cnf(refute_0_1730,plain,
    ( multiplication(addition(codomain(antidomain(C)),B),C) != addition(zero,multiplication(B,C))
    | multiplication(addition(codomain(antidomain(C)),B),C) = multiplication(B,C) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(B,C)),multiplication(B,C)) )],[refute_0_1728,refute_0_1729]) ).

cnf(refute_0_1731,plain,
    multiplication(addition(codomain(antidomain(C)),B),C) = multiplication(B,C),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(antidomain(C)),B),C),addition(zero,multiplication(B,C))) )],[refute_0_1727,refute_0_1730]) ).

cnf(refute_0_1732,plain,
    multiplication(addition(codomain(antidomain(X_737)),addition(X_160,A)),X_737) = multiplication(addition(X_160,A),X_737),
    inference(subst,[],[refute_0_1731:[bind(B,$fot(addition(X_160,A))),bind(C,$fot(X_737))]]) ).

cnf(refute_0_1733,plain,
    addition(A,addition(codomain(antidomain(X_737)),X_160)) = addition(codomain(antidomain(X_737)),addition(X_160,A)),
    inference(subst,[],[refute_0_840:[bind(X_159,$fot(codomain(antidomain(X_737))))]]) ).

cnf(refute_0_1734,plain,
    ( addition(A,addition(codomain(antidomain(X_737)),X_160)) != addition(codomain(antidomain(X_737)),addition(X_160,A))
    | addition(codomain(antidomain(X_737)),addition(X_160,A)) = addition(A,addition(codomain(antidomain(X_737)),X_160)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,addition(codomain(antidomain(X_737)),X_160)))),bind(Y,$fot(addition(codomain(antidomain(X_737)),addition(X_160,A))))]]) ).

cnf(refute_0_1735,plain,
    addition(codomain(antidomain(X_737)),addition(X_160,A)) = addition(A,addition(codomain(antidomain(X_737)),X_160)),
    inference(resolve,[$cnf( $equal(addition(A,addition(codomain(antidomain(X_737)),X_160)),addition(codomain(antidomain(X_737)),addition(X_160,A))) )],[refute_0_1733,refute_0_1734]) ).

cnf(refute_0_1736,plain,
    ( addition(codomain(antidomain(X_737)),addition(X_160,A)) != addition(A,addition(codomain(antidomain(X_737)),X_160))
    | multiplication(addition(codomain(antidomain(X_737)),addition(X_160,A)),X_737) != multiplication(addition(X_160,A),X_737)
    | multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737) = multiplication(addition(X_160,A),X_737) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(antidomain(X_737)),addition(X_160,A)),X_737),multiplication(addition(X_160,A),X_737)) ),[0,0],$fot(addition(A,addition(codomain(antidomain(X_737)),X_160)))]]) ).

cnf(refute_0_1737,plain,
    ( multiplication(addition(codomain(antidomain(X_737)),addition(X_160,A)),X_737) != multiplication(addition(X_160,A),X_737)
    | multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737) = multiplication(addition(X_160,A),X_737) ),
    inference(resolve,[$cnf( $equal(addition(codomain(antidomain(X_737)),addition(X_160,A)),addition(A,addition(codomain(antidomain(X_737)),X_160))) )],[refute_0_1735,refute_0_1736]) ).

cnf(refute_0_1738,plain,
    multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737) = multiplication(addition(X_160,A),X_737),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(antidomain(X_737)),addition(X_160,A)),X_737),multiplication(addition(X_160,A),X_737)) )],[refute_0_1732,refute_0_1737]) ).

cnf(refute_0_1739,plain,
    multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) = addition(multiplication(A,C),multiplication(addition(codomain(antidomain(C)),X_736),C)),
    inference(subst,[],[left_distributivity:[bind(B,$fot(addition(codomain(antidomain(C)),X_736)))]]) ).

cnf(refute_0_1740,plain,
    multiplication(addition(codomain(antidomain(C)),X_736),C) = multiplication(X_736,C),
    inference(subst,[],[refute_0_1731:[bind(B,$fot(X_736))]]) ).

cnf(refute_0_1741,plain,
    ( multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) != addition(multiplication(A,C),multiplication(addition(codomain(antidomain(C)),X_736),C))
    | multiplication(addition(codomain(antidomain(C)),X_736),C) != multiplication(X_736,C)
    | multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) = addition(multiplication(A,C),multiplication(X_736,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C),addition(multiplication(A,C),multiplication(addition(codomain(antidomain(C)),X_736),C))) ),[1,1],$fot(multiplication(X_736,C))]]) ).

cnf(refute_0_1742,plain,
    ( multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) != addition(multiplication(A,C),multiplication(addition(codomain(antidomain(C)),X_736),C))
    | multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) = addition(multiplication(A,C),multiplication(X_736,C)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(antidomain(C)),X_736),C),multiplication(X_736,C)) )],[refute_0_1740,refute_0_1741]) ).

cnf(refute_0_1743,plain,
    multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) = addition(multiplication(A,C),multiplication(X_736,C)),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C),addition(multiplication(A,C),multiplication(addition(codomain(antidomain(C)),X_736),C))) )],[refute_0_1739,refute_0_1742]) ).

cnf(refute_0_1744,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_9:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).

cnf(refute_0_1745,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))) )],[left_distributivity,refute_0_1744]) ).

cnf(refute_0_1746,plain,
    addition(multiplication(A,C),multiplication(X_736,C)) = multiplication(addition(A,X_736),C),
    inference(subst,[],[refute_0_1745:[bind(B,$fot(X_736))]]) ).

cnf(refute_0_1747,plain,
    ( addition(multiplication(A,C),multiplication(X_736,C)) != multiplication(addition(A,X_736),C)
    | multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) != addition(multiplication(A,C),multiplication(X_736,C))
    | multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) = multiplication(addition(A,X_736),C) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C),addition(multiplication(A,C),multiplication(X_736,C))) ),[1],$fot(multiplication(addition(A,X_736),C))]]) ).

cnf(refute_0_1748,plain,
    ( multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) != addition(multiplication(A,C),multiplication(X_736,C))
    | multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) = multiplication(addition(A,X_736),C) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(A,C),multiplication(X_736,C)),multiplication(addition(A,X_736),C)) )],[refute_0_1746,refute_0_1747]) ).

cnf(refute_0_1749,plain,
    multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C) = multiplication(addition(A,X_736),C),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,addition(codomain(antidomain(C)),X_736)),C),addition(multiplication(A,C),multiplication(X_736,C))) )],[refute_0_1743,refute_0_1748]) ).

cnf(refute_0_1750,plain,
    multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737) = multiplication(addition(A,X_160),X_737),
    inference(subst,[],[refute_0_1749:[bind(C,$fot(X_737)),bind(X_736,$fot(X_160))]]) ).

cnf(refute_0_1751,plain,
    ( multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737) != multiplication(addition(A,X_160),X_737)
    | multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737) != multiplication(addition(X_160,A),X_737)
    | multiplication(addition(A,X_160),X_737) = multiplication(addition(X_160,A),X_737) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737),multiplication(addition(X_160,A),X_737)) ),[0],$fot(multiplication(addition(A,X_160),X_737))]]) ).

cnf(refute_0_1752,plain,
    ( multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737) != multiplication(addition(X_160,A),X_737)
    | multiplication(addition(A,X_160),X_737) = multiplication(addition(X_160,A),X_737) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737),multiplication(addition(A,X_160),X_737)) )],[refute_0_1750,refute_0_1751]) ).

cnf(refute_0_1753,plain,
    multiplication(addition(A,X_160),X_737) = multiplication(addition(X_160,A),X_737),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,addition(codomain(antidomain(X_737)),X_160)),X_737),multiplication(addition(X_160,A),X_737)) )],[refute_0_1738,refute_0_1752]) ).

cnf(refute_0_1754,plain,
    ( multiplication(addition(A,X_160),X_737) != multiplication(addition(X_160,A),X_737)
    | multiplication(addition(X_160,A),X_737) = multiplication(addition(A,X_160),X_737) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(addition(A,X_160),X_737))),bind(Y,$fot(multiplication(addition(X_160,A),X_737)))]]) ).

cnf(refute_0_1755,plain,
    multiplication(addition(X_160,A),X_737) = multiplication(addition(A,X_160),X_737),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,X_160),X_737),multiplication(addition(X_160,A),X_737)) )],[refute_0_1753,refute_0_1754]) ).

cnf(refute_0_1756,plain,
    multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) = multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)),
    inference(subst,[],[refute_0_1755:[bind(A,$fot(one)),bind(X_160,$fot(codomain(sK2_goals_X0))),bind(X_737,$fot(codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1757,plain,
    ( multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) != multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1))
    | multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) != codomain(sK1_goals_X1)
    | multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) = codomain(sK1_goals_X1) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)))),bind(Y,$fot(multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)))),bind(Z,$fot(codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1758,plain,
    ( multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) != codomain(sK1_goals_X1)
    | multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) = codomain(sK1_goals_X1) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)),multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1))) )],[refute_0_1756,refute_0_1757]) ).

cnf(refute_0_1759,plain,
    multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) = codomain(sK1_goals_X1),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(sK2_goals_X0)),codomain(sK1_goals_X1)),codomain(sK1_goals_X1)) )],[refute_0_1723,refute_0_1758]) ).

cnf(refute_0_1760,plain,
    ( multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) != addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))
    | multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) != codomain(sK1_goals_X1)
    | codomain(sK1_goals_X1) = addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)),addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))) ),[0],$fot(codomain(sK1_goals_X1))]]) ).

cnf(refute_0_1761,plain,
    ( multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)) != addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))
    | codomain(sK1_goals_X1) = addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)),codomain(sK1_goals_X1)) )],[refute_0_1759,refute_0_1760]) ).

cnf(refute_0_1762,plain,
    codomain(sK1_goals_X1) = addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(sK2_goals_X0),one),codomain(sK1_goals_X1)),addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))) )],[refute_0_1715,refute_0_1761]) ).

cnf(refute_0_1763,plain,
    ( codomain(sK1_goals_X1) != addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))
    | addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)) = codomain(sK1_goals_X1) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(codomain(sK1_goals_X1))),bind(Y,$fot(addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))))]]) ).

cnf(refute_0_1764,plain,
    addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)) = codomain(sK1_goals_X1),
    inference(resolve,[$cnf( $equal(codomain(sK1_goals_X1),addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))) )],[refute_0_1762,refute_0_1763]) ).

cnf(refute_0_1765,plain,
    ( addition(coantidomain(sK2_goals_X0),addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))) != addition(one,codomain(sK1_goals_X1))
    | addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)) != codomain(sK1_goals_X1)
    | addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) = addition(one,codomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(sK2_goals_X0),addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))),addition(one,codomain(sK1_goals_X1))) ),[0,1],$fot(codomain(sK1_goals_X1))]]) ).

cnf(refute_0_1766,plain,
    ( addition(coantidomain(sK2_goals_X0),addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))) != addition(one,codomain(sK1_goals_X1))
    | addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) = addition(one,codomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0)),codomain(sK1_goals_X1)) )],[refute_0_1764,refute_0_1765]) ).

cnf(refute_0_1767,plain,
    addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) = addition(one,codomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK2_goals_X0),addition(codomain(sK1_goals_X1),codomain(sK2_goals_X0))),addition(one,codomain(sK1_goals_X1))) )],[refute_0_1700,refute_0_1766]) ).

cnf(refute_0_1768,plain,
    addition(one,codomain(sK1_goals_X1)) = one,
    inference(subst,[],[refute_0_1654:[bind(X_7,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_1769,plain,
    ( addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) != addition(one,codomain(sK1_goals_X1))
    | addition(one,codomain(sK1_goals_X1)) != one
    | addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) = one ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)),one) ),[0],$fot(addition(one,codomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1770,plain,
    ( addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) != addition(one,codomain(sK1_goals_X1))
    | addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) = one ),
    inference(resolve,[$cnf( $equal(addition(one,codomain(sK1_goals_X1)),one) )],[refute_0_1768,refute_0_1769]) ).

cnf(refute_0_1771,plain,
    addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) = one,
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)),addition(one,codomain(sK1_goals_X1))) )],[refute_0_1767,refute_0_1770]) ).

cnf(refute_0_1772,plain,
    ( addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)) != one
    | multiplication(addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)),coantidomain(codomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))
    | multiplication(one,coantidomain(codomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)),coantidomain(codomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_1773,plain,
    ( multiplication(addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)),coantidomain(codomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))
    | multiplication(one,coantidomain(codomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)),one) )],[refute_0_1771,refute_0_1772]) ).

cnf(refute_0_1774,plain,
    multiplication(one,coantidomain(codomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(sK2_goals_X0),codomain(sK1_goals_X1)),coantidomain(codomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))) )],[refute_0_1680,refute_0_1773]) ).

cnf(refute_0_1775,plain,
    antidomain(codomain(X_288)) = coantidomain(X_288),
    inference(subst,[],[refute_0_691:[bind(X0,$fot(X_288))]]) ).

cnf(refute_0_1776,plain,
    ( antidomain(codomain(X_288)) != coantidomain(X_288)
    | antidomain(codomain(X_288)) != coantidomain(codomain(X_288))
    | coantidomain(X_288) = coantidomain(codomain(X_288)) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(codomain(X_288)),coantidomain(codomain(X_288))) ),[0],$fot(coantidomain(X_288))]]) ).

cnf(refute_0_1777,plain,
    ( antidomain(codomain(X_288)) != coantidomain(codomain(X_288))
    | coantidomain(X_288) = coantidomain(codomain(X_288)) ),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_288)),coantidomain(X_288)) )],[refute_0_1775,refute_0_1776]) ).

cnf(refute_0_1778,plain,
    coantidomain(X_288) = coantidomain(codomain(X_288)),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_288)),coantidomain(codomain(X_288))) )],[refute_0_675,refute_0_1777]) ).

cnf(refute_0_1779,plain,
    ( coantidomain(X_288) != coantidomain(codomain(X_288))
    | coantidomain(codomain(X_288)) = coantidomain(X_288) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(coantidomain(X_288))),bind(Y,$fot(coantidomain(codomain(X_288))))]]) ).

cnf(refute_0_1780,plain,
    coantidomain(codomain(X_288)) = coantidomain(X_288),
    inference(resolve,[$cnf( $equal(coantidomain(X_288),coantidomain(codomain(X_288))) )],[refute_0_1778,refute_0_1779]) ).

cnf(refute_0_1781,plain,
    coantidomain(codomain(sK1_goals_X1)) = coantidomain(sK1_goals_X1),
    inference(subst,[],[refute_0_1780:[bind(X_288,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_1782,plain,
    multiplication(one,coantidomain(codomain(sK1_goals_X1))) = coantidomain(codomain(sK1_goals_X1)),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(coantidomain(codomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1783,plain,
    ( coantidomain(codomain(sK1_goals_X1)) != coantidomain(sK1_goals_X1)
    | multiplication(one,coantidomain(codomain(sK1_goals_X1))) != coantidomain(codomain(sK1_goals_X1))
    | multiplication(one,coantidomain(codomain(sK1_goals_X1))) = coantidomain(sK1_goals_X1) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(one,coantidomain(codomain(sK1_goals_X1))))),bind(Y,$fot(coantidomain(codomain(sK1_goals_X1)))),bind(Z,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_1784,plain,
    ( coantidomain(codomain(sK1_goals_X1)) != coantidomain(sK1_goals_X1)
    | multiplication(one,coantidomain(codomain(sK1_goals_X1))) = coantidomain(sK1_goals_X1) ),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(sK1_goals_X1))),coantidomain(codomain(sK1_goals_X1))) )],[refute_0_1782,refute_0_1783]) ).

cnf(refute_0_1785,plain,
    multiplication(one,coantidomain(codomain(sK1_goals_X1))) = coantidomain(sK1_goals_X1),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(sK1_goals_X1)),coantidomain(sK1_goals_X1)) )],[refute_0_1781,refute_0_1784]) ).

cnf(refute_0_1786,plain,
    ( multiplication(one,coantidomain(codomain(sK1_goals_X1))) != coantidomain(sK1_goals_X1)
    | multiplication(one,coantidomain(codomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))
    | coantidomain(sK1_goals_X1) = multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(codomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))) ),[0],$fot(coantidomain(sK1_goals_X1))]]) ).

cnf(refute_0_1787,plain,
    ( multiplication(one,coantidomain(codomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))
    | coantidomain(sK1_goals_X1) = multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(sK1_goals_X1))),coantidomain(sK1_goals_X1)) )],[refute_0_1785,refute_0_1786]) ).

cnf(refute_0_1788,plain,
    multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))),
    introduced(tautology,[refl,[$fot(multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1789,plain,
    ( coantidomain(codomain(sK1_goals_X1)) != coantidomain(sK1_goals_X1)
    | multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))
    | multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))) ),[1,1],$fot(coantidomain(sK1_goals_X1))]]) ).

cnf(refute_0_1790,plain,
    ( coantidomain(codomain(sK1_goals_X1)) != coantidomain(sK1_goals_X1)
    | multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))) )],[refute_0_1788,refute_0_1789]) ).

cnf(refute_0_1791,plain,
    multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(sK1_goals_X1)),coantidomain(sK1_goals_X1)) )],[refute_0_1781,refute_0_1790]) ).

cnf(refute_0_1792,plain,
    ( coantidomain(sK1_goals_X1) != multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))
    | multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))
    | coantidomain(sK1_goals_X1) = multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) ),[0],$fot(multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1793,plain,
    ( coantidomain(sK1_goals_X1) != multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))
    | coantidomain(sK1_goals_X1) = multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) )],[refute_0_1791,refute_0_1792]) ).

cnf(refute_0_1794,plain,
    ( multiplication(one,coantidomain(codomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))
    | coantidomain(sK1_goals_X1) = multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))) )],[refute_0_1787,refute_0_1793]) ).

cnf(refute_0_1795,plain,
    coantidomain(sK1_goals_X1) = multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),coantidomain(codomain(sK1_goals_X1)))) )],[refute_0_1774,refute_0_1794]) ).

cnf(refute_0_1796,plain,
    ( coantidomain(sK1_goals_X1) != multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))
    | multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) = coantidomain(sK1_goals_X1) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(coantidomain(sK1_goals_X1))),bind(Y,$fot(multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1797,plain,
    multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) = coantidomain(sK1_goals_X1),
    inference(resolve,[$cnf( $equal(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) )],[refute_0_1795,refute_0_1796]) ).

cnf(refute_0_1798,plain,
    ( multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) != addition(coantidomain(sK2_goals_X0),multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) != coantidomain(sK1_goals_X1)
    | multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),addition(coantidomain(sK2_goals_X0),multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) ),[1,1],$fot(coantidomain(sK1_goals_X1))]]) ).

cnf(refute_0_1799,plain,
    ( multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) != addition(coantidomain(sK2_goals_X0),multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),coantidomain(sK1_goals_X1)) )],[refute_0_1797,refute_0_1798]) ).

cnf(refute_0_1800,plain,
    multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),addition(coantidomain(sK2_goals_X0),multiplication(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) )],[refute_0_1679,refute_0_1799]) ).

cnf(refute_0_1801,plain,
    multiplication(coantidomain(sK2_goals_X0),one) = coantidomain(sK2_goals_X0),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1802,plain,
    addition(one,coantidomain(sK1_goals_X1)) = one,
    inference(subst,[],[refute_0_705:[bind(X_164,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_1803,plain,
    multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),
    introduced(tautology,[refl,[$fot(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_1804,plain,
    ( addition(one,coantidomain(sK1_goals_X1)) != one
    | multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1)))
    | multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),one) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1805,plain,
    ( addition(one,coantidomain(sK1_goals_X1)) != one
    | multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),one) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1)))) )],[refute_0_1803,refute_0_1804]) ).

cnf(refute_0_1806,plain,
    multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = multiplication(coantidomain(sK2_goals_X0),one),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(sK1_goals_X1)),one) )],[refute_0_1802,refute_0_1805]) ).

cnf(refute_0_1807,plain,
    ( multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) != multiplication(coantidomain(sK2_goals_X0),one)
    | multiplication(coantidomain(sK2_goals_X0),one) != coantidomain(sK2_goals_X0)
    | multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = coantidomain(sK2_goals_X0) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))))),bind(Y,$fot(multiplication(coantidomain(sK2_goals_X0),one))),bind(Z,$fot(coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1808,plain,
    ( multiplication(coantidomain(sK2_goals_X0),one) != coantidomain(sK2_goals_X0)
    | multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = coantidomain(sK2_goals_X0) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),multiplication(coantidomain(sK2_goals_X0),one)) )],[refute_0_1806,refute_0_1807]) ).

cnf(refute_0_1809,plain,
    multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) = coantidomain(sK2_goals_X0),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),one),coantidomain(sK2_goals_X0)) )],[refute_0_1801,refute_0_1808]) ).

cnf(refute_0_1810,plain,
    ( multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) != addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))
    | multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) != coantidomain(sK2_goals_X0)
    | coantidomain(sK2_goals_X0) = addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) ),[0],$fot(coantidomain(sK2_goals_X0))]]) ).

cnf(refute_0_1811,plain,
    ( multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) != addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))
    | coantidomain(sK2_goals_X0) = addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),coantidomain(sK2_goals_X0)) )],[refute_0_1809,refute_0_1810]) ).

cnf(refute_0_1812,plain,
    addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) = addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),
    inference(subst,[],[refute_0_965:[bind(X_531,$fot(coantidomain(sK1_goals_X1))),bind(X_532,$fot(coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1813,plain,
    ( addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) != addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))
    | coantidomain(sK2_goals_X0) != addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))
    | coantidomain(sK2_goals_X0) = addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(coantidomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) ),[1],$fot(addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1814,plain,
    ( coantidomain(sK2_goals_X0) != addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))
    | coantidomain(sK2_goals_X0) = addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) )],[refute_0_1812,refute_0_1813]) ).

cnf(refute_0_1815,plain,
    ( multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))) != addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))
    | coantidomain(sK2_goals_X0) = addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(coantidomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) )],[refute_0_1811,refute_0_1814]) ).

cnf(refute_0_1816,plain,
    coantidomain(sK2_goals_X0) = addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK2_goals_X0),addition(one,coantidomain(sK1_goals_X1))),addition(coantidomain(sK2_goals_X0),coantidomain(sK1_goals_X1))) )],[refute_0_1800,refute_0_1815]) ).

cnf(refute_0_1817,plain,
    ( coantidomain(sK2_goals_X0) != addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))
    | addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) = coantidomain(sK2_goals_X0) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(coantidomain(sK2_goals_X0))),bind(Y,$fot(addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_1818,plain,
    addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) = coantidomain(sK2_goals_X0),
    inference(resolve,[$cnf( $equal(coantidomain(sK2_goals_X0),addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) )],[refute_0_1816,refute_0_1817]) ).

cnf(refute_0_1819,plain,
    ( addition(A,addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) != addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A))
    | addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) != coantidomain(sK2_goals_X0)
    | addition(A,coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))),addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A))) ),[0,1],$fot(coantidomain(sK2_goals_X0))]]) ).

cnf(refute_0_1820,plain,
    ( addition(A,addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) != addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A))
    | addition(A,coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),coantidomain(sK2_goals_X0)) )],[refute_0_1818,refute_0_1819]) ).

cnf(refute_0_1821,plain,
    addition(A,coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A)),
    inference(resolve,[$cnf( $equal(addition(A,addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))),addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A))) )],[refute_0_1678,refute_0_1820]) ).

cnf(refute_0_1822,plain,
    ( addition(A,coantidomain(sK2_goals_X0)) != addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A))
    | addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A)) = addition(A,coantidomain(sK2_goals_X0)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,coantidomain(sK2_goals_X0)))),bind(Y,$fot(addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A))))]]) ).

cnf(refute_0_1823,plain,
    addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A)) = addition(A,coantidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(addition(A,coantidomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),A))) )],[refute_0_1821,refute_0_1822]) ).

cnf(refute_0_1824,plain,
    addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217)) = addition(X_217,coantidomain(sK2_goals_X0)),
    inference(subst,[],[refute_0_1823:[bind(A,$fot(X_217))]]) ).

cnf(refute_0_1825,plain,
    coantidomain(codomain(sK2_goals_X0)) = coantidomain(sK2_goals_X0),
    inference(subst,[],[refute_0_1780:[bind(X_288,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_1826,plain,
    addition(coantidomain(codomain(sK2_goals_X0)),X_217) = addition(coantidomain(codomain(sK2_goals_X0)),X_217),
    introduced(tautology,[refl,[$fot(addition(coantidomain(codomain(sK2_goals_X0)),X_217))]]) ).

cnf(refute_0_1827,plain,
    ( addition(coantidomain(codomain(sK2_goals_X0)),X_217) != addition(coantidomain(codomain(sK2_goals_X0)),X_217)
    | coantidomain(codomain(sK2_goals_X0)) != coantidomain(sK2_goals_X0)
    | addition(coantidomain(codomain(sK2_goals_X0)),X_217) = addition(coantidomain(sK2_goals_X0),X_217) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(codomain(sK2_goals_X0)),X_217),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) ),[1,0],$fot(coantidomain(sK2_goals_X0))]]) ).

cnf(refute_0_1828,plain,
    ( coantidomain(codomain(sK2_goals_X0)) != coantidomain(sK2_goals_X0)
    | addition(coantidomain(codomain(sK2_goals_X0)),X_217) = addition(coantidomain(sK2_goals_X0),X_217) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(sK2_goals_X0)),X_217),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) )],[refute_0_1826,refute_0_1827]) ).

cnf(refute_0_1829,plain,
    addition(coantidomain(codomain(sK2_goals_X0)),X_217) = addition(coantidomain(sK2_goals_X0),X_217),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(sK2_goals_X0)),coantidomain(sK2_goals_X0)) )],[refute_0_1825,refute_0_1828]) ).

cnf(refute_0_1830,plain,
    addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) = addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),
    introduced(tautology,[refl,[$fot(addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)))]]) ).

cnf(refute_0_1831,plain,
    ( addition(coantidomain(codomain(sK2_goals_X0)),X_217) != addition(coantidomain(sK2_goals_X0),X_217)
    | addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) != addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))
    | addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) = addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) ),[1,1],$fot(addition(coantidomain(sK2_goals_X0),X_217))]]) ).

cnf(refute_0_1832,plain,
    ( addition(coantidomain(codomain(sK2_goals_X0)),X_217) != addition(coantidomain(sK2_goals_X0),X_217)
    | addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) = addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) )],[refute_0_1830,refute_0_1831]) ).

cnf(refute_0_1833,plain,
    addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) = addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217)),
    inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(sK2_goals_X0)),X_217),addition(coantidomain(sK2_goals_X0),X_217)) )],[refute_0_1829,refute_0_1832]) ).

cnf(refute_0_1834,plain,
    ( addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) != addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217))
    | addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217)) != addition(X_217,coantidomain(sK2_goals_X0))
    | addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) = addition(X_217,coantidomain(sK2_goals_X0)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)))),bind(Y,$fot(addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217)))),bind(Z,$fot(addition(X_217,coantidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_1835,plain,
    ( addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217)) != addition(X_217,coantidomain(sK2_goals_X0))
    | addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) = addition(X_217,coantidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217))) )],[refute_0_1833,refute_0_1834]) ).

cnf(refute_0_1836,plain,
    addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) = addition(X_217,coantidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),addition(coantidomain(sK2_goals_X0),X_217)),addition(X_217,coantidomain(sK2_goals_X0))) )],[refute_0_1824,refute_0_1835]) ).

cnf(refute_0_1837,plain,
    leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) = leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))),
    introduced(tautology,[refl,[$fot(leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))))]]) ).

cnf(refute_0_1838,plain,
    ( addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) != addition(X_217,coantidomain(sK2_goals_X0))
    | leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) != leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)))
    | leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) = leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))),leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)))) ),[1,1],$fot(addition(X_217,coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_1839,plain,
    ( addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)) != addition(X_217,coantidomain(sK2_goals_X0))
    | leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) = leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))),leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)))) )],[refute_0_1837,refute_0_1838]) ).

cnf(refute_0_1840,plain,
    leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) = leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217)),addition(X_217,coantidomain(sK2_goals_X0))) )],[refute_0_1836,refute_0_1839]) ).

cnf(refute_0_1841,plain,
    ( leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) != leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0)))
    | leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) != true
    | leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))),true) ),[0],$fot(leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_1842,plain,
    ( leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))) != true
    | leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0))) = true ),
    inference(resolve,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))),leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0)))) )],[refute_0_1840,refute_0_1841]) ).

cnf(refute_0_1843,plain,
    leq(multiplication(codomain(sK2_goals_X0),X_217),addition(X_217,coantidomain(sK2_goals_X0))) = true,
    inference(resolve,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),X_217),addition(coantidomain(sK1_goals_X1),addition(coantidomain(codomain(sK2_goals_X0)),X_217))),true) )],[refute_0_1677,refute_0_1842]) ).

cnf(refute_0_1844,plain,
    leq(multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) = true,
    inference(subst,[],[refute_0_1843:[bind(X_217,$fot(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1845,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) = addition(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(codomain(sK2_goals_X0),C)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(codomain(sK2_goals_X0))),bind(B,$fot(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1846,plain,
    multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_1847,plain,
    addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),
    inference(subst,[],[refute_0_224:[bind(X0,$fot(sK2_goals_X0)),bind(X1,$fot(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1848,plain,
    multiplication(addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(subst,[],[refute_0_290:[bind(X_72,$fot(sK2_goals_X0)),bind(X_73,$fot(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))]]) ).

cnf(refute_0_1849,plain,
    multiplication(domain(sK2_goals_X0),addition(sK1_goals_X1,sK2_goals_X0)) = addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)),
    inference(subst,[],[refute_0_326:[bind(X_216,$fot(sK1_goals_X1)),bind(X_217,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_1850,plain,
    ( addition(sK1_goals_X1,sK2_goals_X0) != sK1_goals_X1
    | multiplication(domain(sK2_goals_X0),addition(sK1_goals_X1,sK2_goals_X0)) != addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1))
    | multiplication(domain(sK2_goals_X0),sK1_goals_X1) = addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(sK2_goals_X0),addition(sK1_goals_X1,sK2_goals_X0)),addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),[0,1],$fot(sK1_goals_X1)]]) ).

cnf(refute_0_1851,plain,
    ( multiplication(domain(sK2_goals_X0),addition(sK1_goals_X1,sK2_goals_X0)) != addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1))
    | multiplication(domain(sK2_goals_X0),sK1_goals_X1) = addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(addition(sK1_goals_X1,sK2_goals_X0),sK1_goals_X1) )],[refute_0_773,refute_0_1850]) ).

cnf(refute_0_1852,plain,
    multiplication(domain(sK2_goals_X0),sK1_goals_X1) = addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(domain(sK2_goals_X0),addition(sK1_goals_X1,sK2_goals_X0)),addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1))) )],[refute_0_1849,refute_0_1851]) ).

cnf(refute_0_1853,plain,
    ( multiplication(domain(sK2_goals_X0),sK1_goals_X1) != addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1))
    | addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)) = multiplication(domain(sK2_goals_X0),sK1_goals_X1) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),bind(Y,$fot(addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1854,plain,
    addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)) = multiplication(domain(sK2_goals_X0),sK1_goals_X1),
    inference(resolve,[$cnf( $equal(multiplication(domain(sK2_goals_X0),sK1_goals_X1),addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1))) )],[refute_0_1852,refute_0_1853]) ).

cnf(refute_0_1855,plain,
    ( addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)) != multiplication(domain(sK2_goals_X0),sK1_goals_X1)
    | multiplication(addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),[0,0],$fot(multiplication(domain(sK2_goals_X0),sK1_goals_X1))]]) ).

cnf(refute_0_1856,plain,
    ( multiplication(addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)),multiplication(domain(sK2_goals_X0),sK1_goals_X1)) )],[refute_0_1854,refute_0_1855]) ).

cnf(refute_0_1857,plain,
    multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(multiplication(addition(sK2_goals_X0,multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1848,refute_0_1856]) ).

cnf(refute_0_1858,plain,
    multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))]]) ).

cnf(refute_0_1859,plain,
    ( multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != zero
    | zero = multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),[0],$fot(zero)]]) ).

cnf(refute_0_1860,plain,
    ( multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | zero = multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),zero) )],[refute_0_1858,refute_0_1859]) ).

cnf(refute_0_1861,plain,
    zero = multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(multiplication(multiplication(domain(sK2_goals_X0),sK1_goals_X1),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1857,refute_0_1860]) ).

cnf(refute_0_1862,plain,
    ( zero != multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_1863,plain,
    multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = zero,
    inference(resolve,[$cnf( $equal(zero,multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1861,refute_0_1862]) ).

cnf(refute_0_1864,plain,
    ( addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))
    | multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != zero
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_1865,plain,
    ( addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),zero) )],[refute_0_1863,refute_0_1864]) ).

cnf(refute_0_1866,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(sK2_goals_X0,coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) )],[refute_0_1847,refute_0_1865]) ).

cnf(refute_0_1867,plain,
    addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = one,
    inference(subst,[],[refute_0_705:[bind(X_164,$fot(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_1868,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))))]]) ).

cnf(refute_0_1869,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))
    | coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1870,plain,
    ( coantidomain(zero) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))) )],[refute_0_1868,refute_0_1869]) ).

cnf(refute_0_1871,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),
    inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_738,refute_0_1870]) ).

cnf(refute_0_1872,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))
    | addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))))),bind(Y,$fot(addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_1873,plain,
    ( addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != one
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))) )],[refute_0_1871,refute_0_1872]) ).

cnf(refute_0_1874,plain,
    addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) = one,
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),one) )],[refute_0_1867,refute_0_1873]) ).

cnf(refute_0_1875,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))
    | addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != one
    | one = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) ),[0],$fot(one)]]) ).

cnf(refute_0_1876,plain,
    ( addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))
    | one = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),one) )],[refute_0_1874,refute_0_1875]) ).

cnf(refute_0_1877,plain,
    one = coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),
    inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) )],[refute_0_1866,refute_0_1876]) ).

cnf(refute_0_1878,plain,
    ( one != coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))
    | coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))))]]) ).

cnf(refute_0_1879,plain,
    coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one,
    inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) )],[refute_0_1877,refute_0_1878]) ).

cnf(refute_0_1880,plain,
    ( coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != one
    | multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != zero
    | multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),zero) ),[0,1],$fot(one)]]) ).

cnf(refute_0_1881,plain,
    ( multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) != zero
    | multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) = zero ),
    inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),one) )],[refute_0_1879,refute_0_1880]) ).

cnf(refute_0_1882,plain,
    multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),zero) )],[refute_0_1846,refute_0_1881]) ).

cnf(refute_0_1883,plain,
    multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) = multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_1884,plain,
    ( multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) != multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) != zero
    | multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one),zero) ),[0],$fot(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1885,plain,
    ( multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) != zero
    | multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one),multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1883,refute_0_1884]) ).

cnf(refute_0_1886,plain,
    multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one),zero) )],[refute_0_1882,refute_0_1885]) ).

cnf(refute_0_1887,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) != addition(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(codomain(sK2_goals_X0),C))
    | multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != zero
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) = addition(zero,multiplication(codomain(sK2_goals_X0),C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)),addition(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(codomain(sK2_goals_X0),C))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1888,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) != addition(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(codomain(sK2_goals_X0),C))
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) = addition(zero,multiplication(codomain(sK2_goals_X0),C)) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),zero) )],[refute_0_1886,refute_0_1887]) ).

cnf(refute_0_1889,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) = addition(zero,multiplication(codomain(sK2_goals_X0),C)),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)),addition(multiplication(codomain(sK2_goals_X0),coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),multiplication(codomain(sK2_goals_X0),C))) )],[refute_0_1845,refute_0_1888]) ).

cnf(refute_0_1890,plain,
    ( addition(zero,multiplication(codomain(sK2_goals_X0),C)) != multiplication(codomain(sK2_goals_X0),C)
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) != addition(zero,multiplication(codomain(sK2_goals_X0),C))
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) = multiplication(codomain(sK2_goals_X0),C) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)),addition(zero,multiplication(codomain(sK2_goals_X0),C))) ),[1],$fot(multiplication(codomain(sK2_goals_X0),C))]]) ).

cnf(refute_0_1891,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) != addition(zero,multiplication(codomain(sK2_goals_X0),C))
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) = multiplication(codomain(sK2_goals_X0),C) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(codomain(sK2_goals_X0),C)),multiplication(codomain(sK2_goals_X0),C)) )],[refute_0_1527,refute_0_1890]) ).

cnf(refute_0_1892,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)) = multiplication(codomain(sK2_goals_X0),C),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),C)),addition(zero,multiplication(codomain(sK2_goals_X0),C))) )],[refute_0_1889,refute_0_1891]) ).

cnf(refute_0_1893,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(subst,[],[refute_0_1892:[bind(C,$fot(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1894,plain,
    addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = one,
    inference(subst,[],[refute_0_250:[bind(X0,$fot(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))]]) ).

cnf(refute_0_1895,plain,
    ( addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != one
    | multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(codomain(sK2_goals_X0),one) = multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_1896,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(codomain(sK2_goals_X0),one) = multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) )],[refute_0_1894,refute_0_1895]) ).

cnf(refute_0_1897,plain,
    multiplication(codomain(sK2_goals_X0),one) = multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1893,refute_0_1896]) ).

cnf(refute_0_1898,plain,
    ( multiplication(codomain(sK2_goals_X0),one) != codomain(sK2_goals_X0)
    | multiplication(codomain(sK2_goals_X0),one) != multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | codomain(sK2_goals_X0) = multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),one),multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),[0],$fot(codomain(sK2_goals_X0))]]) ).

cnf(refute_0_1899,plain,
    ( multiplication(codomain(sK2_goals_X0),one) != multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | codomain(sK2_goals_X0) = multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),one),codomain(sK2_goals_X0)) )],[refute_0_1707,refute_0_1898]) ).

cnf(refute_0_1900,plain,
    codomain(sK2_goals_X0) = multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),one),multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1897,refute_0_1899]) ).

cnf(refute_0_1901,plain,
    ( codomain(sK2_goals_X0) != multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = codomain(sK2_goals_X0) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(codomain(sK2_goals_X0))),bind(Y,$fot(multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_1902,plain,
    multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = codomain(sK2_goals_X0),
    inference(resolve,[$cnf( $equal(codomain(sK2_goals_X0),multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1900,refute_0_1901]) ).

cnf(refute_0_1903,plain,
    ( leq(multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) != true
    | multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != codomain(sK2_goals_X0)
    | leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),true) ),[0,0],$fot(codomain(sK2_goals_X0))]]) ).

cnf(refute_0_1904,plain,
    ( leq(multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) != true
    | leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) = true ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)) )],[refute_0_1902,refute_0_1903]) ).

cnf(refute_0_1905,plain,
    leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) = true,
    inference(resolve,[$cnf( $equal(leq(multiplication(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),true) )],[refute_0_1844,refute_0_1904]) ).

cnf(refute_0_1906,plain,
    multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = addition(addition(X_610,coantidomain(X_609)),multiplication(addition(X_610,coantidomain(X_609)),codomain(X_609))),
    inference(subst,[],[refute_0_845:[bind(X_215,$fot(addition(X_610,coantidomain(X_609)))),bind(X_217,$fot(codomain(X_609)))]]) ).

cnf(refute_0_1907,plain,
    multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) = addition(multiplication(X_72,codomain(X_7)),multiplication(coantidomain(X_7),codomain(X_7))),
    inference(subst,[],[left_distributivity:[bind(A,$fot(X_72)),bind(B,$fot(coantidomain(X_7))),bind(C,$fot(codomain(X_7)))]]) ).

cnf(refute_0_1908,plain,
    multiplication(coantidomain(X_7),coantidomain(coantidomain(X_7))) = zero,
    inference(subst,[],[codomain1:[bind(X0,$fot(coantidomain(X_7)))]]) ).

cnf(refute_0_1909,plain,
    ( coantidomain(coantidomain(X_7)) != codomain(X_7)
    | multiplication(coantidomain(X_7),coantidomain(coantidomain(X_7))) != zero
    | multiplication(coantidomain(X_7),codomain(X_7)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_7),coantidomain(coantidomain(X_7))),zero) ),[0,1],$fot(codomain(X_7))]]) ).

cnf(refute_0_1910,plain,
    ( multiplication(coantidomain(X_7),coantidomain(coantidomain(X_7))) != zero
    | multiplication(coantidomain(X_7),codomain(X_7)) = zero ),
    inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_7)),codomain(X_7)) )],[refute_0_258,refute_0_1909]) ).

cnf(refute_0_1911,plain,
    multiplication(coantidomain(X_7),codomain(X_7)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_7),coantidomain(coantidomain(X_7))),zero) )],[refute_0_1908,refute_0_1910]) ).

cnf(refute_0_1912,plain,
    ( multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) != addition(multiplication(X_72,codomain(X_7)),multiplication(coantidomain(X_7),codomain(X_7)))
    | multiplication(coantidomain(X_7),codomain(X_7)) != zero
    | multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) = addition(multiplication(X_72,codomain(X_7)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)),addition(multiplication(X_72,codomain(X_7)),multiplication(coantidomain(X_7),codomain(X_7)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1913,plain,
    ( multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) != addition(multiplication(X_72,codomain(X_7)),multiplication(coantidomain(X_7),codomain(X_7)))
    | multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) = addition(multiplication(X_72,codomain(X_7)),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_7),codomain(X_7)),zero) )],[refute_0_1911,refute_0_1912]) ).

cnf(refute_0_1914,plain,
    multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) = addition(multiplication(X_72,codomain(X_7)),zero),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)),addition(multiplication(X_72,codomain(X_7)),multiplication(coantidomain(X_7),codomain(X_7)))) )],[refute_0_1907,refute_0_1913]) ).

cnf(refute_0_1915,plain,
    addition(multiplication(X_72,codomain(X_7)),zero) = multiplication(X_72,codomain(X_7)),
    inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(X_72,codomain(X_7))))]]) ).

cnf(refute_0_1916,plain,
    ( addition(multiplication(X_72,codomain(X_7)),zero) != multiplication(X_72,codomain(X_7))
    | multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) != addition(multiplication(X_72,codomain(X_7)),zero)
    | multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) = multiplication(X_72,codomain(X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)),addition(multiplication(X_72,codomain(X_7)),zero)) ),[1],$fot(multiplication(X_72,codomain(X_7)))]]) ).

cnf(refute_0_1917,plain,
    ( multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) != addition(multiplication(X_72,codomain(X_7)),zero)
    | multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) = multiplication(X_72,codomain(X_7)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_72,codomain(X_7)),zero),multiplication(X_72,codomain(X_7))) )],[refute_0_1915,refute_0_1916]) ).

cnf(refute_0_1918,plain,
    multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)) = multiplication(X_72,codomain(X_7)),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_72,coantidomain(X_7)),codomain(X_7)),addition(multiplication(X_72,codomain(X_7)),zero)) )],[refute_0_1914,refute_0_1917]) ).

cnf(refute_0_1919,plain,
    multiplication(addition(X_610,coantidomain(X_609)),codomain(X_609)) = multiplication(X_610,codomain(X_609)),
    inference(subst,[],[refute_0_1918:[bind(X_7,$fot(X_609)),bind(X_72,$fot(X_610))]]) ).

cnf(refute_0_1920,plain,
    ( multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) != addition(addition(X_610,coantidomain(X_609)),multiplication(addition(X_610,coantidomain(X_609)),codomain(X_609)))
    | multiplication(addition(X_610,coantidomain(X_609)),codomain(X_609)) != multiplication(X_610,codomain(X_609))
    | multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),addition(addition(X_610,coantidomain(X_609)),multiplication(addition(X_610,coantidomain(X_609)),codomain(X_609)))) ),[1,1],$fot(multiplication(X_610,codomain(X_609)))]]) ).

cnf(refute_0_1921,plain,
    ( multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) != addition(addition(X_610,coantidomain(X_609)),multiplication(addition(X_610,coantidomain(X_609)),codomain(X_609)))
    | multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),codomain(X_609)),multiplication(X_610,codomain(X_609))) )],[refute_0_1919,refute_0_1920]) ).

cnf(refute_0_1922,plain,
    multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),addition(addition(X_610,coantidomain(X_609)),multiplication(addition(X_610,coantidomain(X_609)),codomain(X_609)))) )],[refute_0_1906,refute_0_1921]) ).

cnf(refute_0_1923,plain,
    multiplication(addition(X_610,coantidomain(X_609)),one) = addition(X_610,coantidomain(X_609)),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(addition(X_610,coantidomain(X_609))))]]) ).

cnf(refute_0_1924,plain,
    addition(one,codomain(X_609)) = one,
    inference(subst,[],[refute_0_1654:[bind(X_7,$fot(X_609))]]) ).

cnf(refute_0_1925,plain,
    multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),
    introduced(tautology,[refl,[$fot(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))))]]) ).

cnf(refute_0_1926,plain,
    ( addition(one,codomain(X_609)) != one
    | multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) != multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609)))
    | multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = multiplication(addition(X_610,coantidomain(X_609)),one) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1927,plain,
    ( addition(one,codomain(X_609)) != one
    | multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = multiplication(addition(X_610,coantidomain(X_609)),one) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609)))) )],[refute_0_1925,refute_0_1926]) ).

cnf(refute_0_1928,plain,
    multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = multiplication(addition(X_610,coantidomain(X_609)),one),
    inference(resolve,[$cnf( $equal(addition(one,codomain(X_609)),one) )],[refute_0_1924,refute_0_1927]) ).

cnf(refute_0_1929,plain,
    ( multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) != multiplication(addition(X_610,coantidomain(X_609)),one)
    | multiplication(addition(X_610,coantidomain(X_609)),one) != addition(X_610,coantidomain(X_609))
    | multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = addition(X_610,coantidomain(X_609)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))))),bind(Y,$fot(multiplication(addition(X_610,coantidomain(X_609)),one))),bind(Z,$fot(addition(X_610,coantidomain(X_609))))]]) ).

cnf(refute_0_1930,plain,
    ( multiplication(addition(X_610,coantidomain(X_609)),one) != addition(X_610,coantidomain(X_609))
    | multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = addition(X_610,coantidomain(X_609)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),multiplication(addition(X_610,coantidomain(X_609)),one)) )],[refute_0_1928,refute_0_1929]) ).

cnf(refute_0_1931,plain,
    multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) = addition(X_610,coantidomain(X_609)),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),one),addition(X_610,coantidomain(X_609))) )],[refute_0_1923,refute_0_1930]) ).

cnf(refute_0_1932,plain,
    ( multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) != addition(X_610,coantidomain(X_609))
    | multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) != addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609)))
    | addition(X_610,coantidomain(X_609)) = addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609)))) ),[0],$fot(addition(X_610,coantidomain(X_609)))]]) ).

cnf(refute_0_1933,plain,
    ( multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) != addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609)))
    | addition(X_610,coantidomain(X_609)) = addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),addition(X_610,coantidomain(X_609))) )],[refute_0_1931,refute_0_1932]) ).

cnf(refute_0_1934,plain,
    addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))) = addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609)))),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_610)),bind(B,$fot(coantidomain(X_609))),bind(C,$fot(multiplication(X_610,codomain(X_609))))]]) ).

cnf(refute_0_1935,plain,
    ( addition(X_610,coantidomain(X_609)) != addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609)))
    | addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))) != addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609))))
    | addition(X_610,coantidomain(X_609)) = addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_610,coantidomain(X_609)),addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609))))) ),[0],$fot(addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))))]]) ).

cnf(refute_0_1936,plain,
    ( addition(X_610,coantidomain(X_609)) != addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609)))
    | addition(X_610,coantidomain(X_609)) = addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609)))) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609))),addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609))))) )],[refute_0_1934,refute_0_1935]) ).

cnf(refute_0_1937,plain,
    ( multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))) != addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609)))
    | addition(X_610,coantidomain(X_609)) = addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609)))) ),
    inference(resolve,[$cnf( $equal(addition(X_610,coantidomain(X_609)),addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609)))) )],[refute_0_1933,refute_0_1936]) ).

cnf(refute_0_1938,plain,
    addition(X_610,coantidomain(X_609)) = addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609)))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_610,coantidomain(X_609)),addition(one,codomain(X_609))),addition(addition(X_610,coantidomain(X_609)),multiplication(X_610,codomain(X_609)))) )],[refute_0_1922,refute_0_1937]) ).

cnf(refute_0_1939,plain,
    addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) = addition(X_159,addition(X_160,multiplication(X_160,codomain(X_934)))),
    inference(subst,[],[refute_0_840:[bind(A,$fot(multiplication(X_160,codomain(X_934))))]]) ).

cnf(refute_0_1940,plain,
    multiplication(X_229,addition(one,codomain(X_7))) = addition(X_229,multiplication(X_229,codomain(X_7))),
    inference(subst,[],[refute_0_845:[bind(X_215,$fot(X_229)),bind(X_217,$fot(codomain(X_7)))]]) ).

cnf(refute_0_1941,plain,
    ( addition(one,codomain(X_7)) != one
    | multiplication(X_229,addition(one,codomain(X_7))) != addition(X_229,multiplication(X_229,codomain(X_7)))
    | multiplication(X_229,one) = addition(X_229,multiplication(X_229,codomain(X_7))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_229,addition(one,codomain(X_7))),addition(X_229,multiplication(X_229,codomain(X_7)))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_1942,plain,
    ( multiplication(X_229,addition(one,codomain(X_7))) != addition(X_229,multiplication(X_229,codomain(X_7)))
    | multiplication(X_229,one) = addition(X_229,multiplication(X_229,codomain(X_7))) ),
    inference(resolve,[$cnf( $equal(addition(one,codomain(X_7)),one) )],[refute_0_1654,refute_0_1941]) ).

cnf(refute_0_1943,plain,
    multiplication(X_229,one) = addition(X_229,multiplication(X_229,codomain(X_7))),
    inference(resolve,[$cnf( $equal(multiplication(X_229,addition(one,codomain(X_7))),addition(X_229,multiplication(X_229,codomain(X_7)))) )],[refute_0_1940,refute_0_1942]) ).

cnf(refute_0_1944,plain,
    ( multiplication(X_229,one) != X_229
    | multiplication(X_229,one) != addition(X_229,multiplication(X_229,codomain(X_7)))
    | X_229 = addition(X_229,multiplication(X_229,codomain(X_7))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_229,one),addition(X_229,multiplication(X_229,codomain(X_7)))) ),[0],$fot(X_229)]]) ).

cnf(refute_0_1945,plain,
    ( multiplication(X_229,one) != addition(X_229,multiplication(X_229,codomain(X_7)))
    | X_229 = addition(X_229,multiplication(X_229,codomain(X_7))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_229,one),X_229) )],[refute_0_898,refute_0_1944]) ).

cnf(refute_0_1946,plain,
    X_229 = addition(X_229,multiplication(X_229,codomain(X_7))),
    inference(resolve,[$cnf( $equal(multiplication(X_229,one),addition(X_229,multiplication(X_229,codomain(X_7)))) )],[refute_0_1943,refute_0_1945]) ).

cnf(refute_0_1947,plain,
    X_160 = addition(X_160,multiplication(X_160,codomain(X_934))),
    inference(subst,[],[refute_0_1946:[bind(X_229,$fot(X_160)),bind(X_7,$fot(X_934))]]) ).

cnf(refute_0_1948,plain,
    ( X_160 != addition(X_160,multiplication(X_160,codomain(X_934)))
    | addition(X_160,multiplication(X_160,codomain(X_934))) = X_160 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_160)),bind(Y,$fot(addition(X_160,multiplication(X_160,codomain(X_934)))))]]) ).

cnf(refute_0_1949,plain,
    addition(X_160,multiplication(X_160,codomain(X_934))) = X_160,
    inference(resolve,[$cnf( $equal(X_160,addition(X_160,multiplication(X_160,codomain(X_934)))) )],[refute_0_1947,refute_0_1948]) ).

cnf(refute_0_1950,plain,
    ( addition(X_160,multiplication(X_160,codomain(X_934))) != X_160
    | addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) != addition(X_159,addition(X_160,multiplication(X_160,codomain(X_934))))
    | addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) = addition(X_159,X_160) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)),addition(X_159,addition(X_160,multiplication(X_160,codomain(X_934))))) ),[1,1],$fot(X_160)]]) ).

cnf(refute_0_1951,plain,
    ( addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) != addition(X_159,addition(X_160,multiplication(X_160,codomain(X_934))))
    | addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) = addition(X_159,X_160) ),
    inference(resolve,[$cnf( $equal(addition(X_160,multiplication(X_160,codomain(X_934))),X_160) )],[refute_0_1949,refute_0_1950]) ).

cnf(refute_0_1952,plain,
    addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) = addition(X_159,X_160),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)),addition(X_159,addition(X_160,multiplication(X_160,codomain(X_934))))) )],[refute_0_1939,refute_0_1951]) ).

cnf(refute_0_1953,plain,
    addition(X_593,addition(X_594,X_595)) = addition(X_594,addition(X_595,X_593)),
    inference(subst,[],[refute_0_840:[bind(A,$fot(X_593)),bind(X_159,$fot(X_594)),bind(X_160,$fot(X_595))]]) ).

cnf(refute_0_1954,plain,
    addition(X_595,X_594) = addition(X_594,X_595),
    inference(subst,[],[additive_commutativity:[bind(A,$fot(X_595)),bind(B,$fot(X_594))]]) ).

cnf(refute_0_1955,plain,
    ( addition(X_595,X_594) != addition(X_594,X_595)
    | addition(X_594,X_595) = addition(X_595,X_594) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_595,X_594))),bind(Y,$fot(addition(X_594,X_595)))]]) ).

cnf(refute_0_1956,plain,
    addition(X_594,X_595) = addition(X_595,X_594),
    inference(resolve,[$cnf( $equal(addition(X_595,X_594),addition(X_594,X_595)) )],[refute_0_1954,refute_0_1955]) ).

cnf(refute_0_1957,plain,
    ( addition(X_593,addition(X_594,X_595)) != addition(X_594,addition(X_595,X_593))
    | addition(X_594,X_595) != addition(X_595,X_594)
    | addition(X_593,addition(X_595,X_594)) = addition(X_594,addition(X_595,X_593)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_593,addition(X_594,X_595)),addition(X_594,addition(X_595,X_593))) ),[0,1],$fot(addition(X_595,X_594))]]) ).

cnf(refute_0_1958,plain,
    ( addition(X_593,addition(X_594,X_595)) != addition(X_594,addition(X_595,X_593))
    | addition(X_593,addition(X_595,X_594)) = addition(X_594,addition(X_595,X_593)) ),
    inference(resolve,[$cnf( $equal(addition(X_594,X_595),addition(X_595,X_594)) )],[refute_0_1956,refute_0_1957]) ).

cnf(refute_0_1959,plain,
    addition(X_593,addition(X_595,X_594)) = addition(X_594,addition(X_595,X_593)),
    inference(resolve,[$cnf( $equal(addition(X_593,addition(X_594,X_595)),addition(X_594,addition(X_595,X_593))) )],[refute_0_1953,refute_0_1958]) ).

cnf(refute_0_1960,plain,
    ( addition(X_593,addition(X_595,X_594)) != addition(X_594,addition(X_595,X_593))
    | addition(X_594,addition(X_595,X_593)) = addition(X_593,addition(X_595,X_594)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_593,addition(X_595,X_594)))),bind(Y,$fot(addition(X_594,addition(X_595,X_593))))]]) ).

cnf(refute_0_1961,plain,
    addition(X_594,addition(X_595,X_593)) = addition(X_593,addition(X_595,X_594)),
    inference(resolve,[$cnf( $equal(addition(X_593,addition(X_595,X_594)),addition(X_594,addition(X_595,X_593))) )],[refute_0_1959,refute_0_1960]) ).

cnf(refute_0_1962,plain,
    addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) = addition(X_160,addition(X_159,multiplication(X_160,codomain(X_934)))),
    inference(subst,[],[refute_0_1961:[bind(X_593,$fot(X_160)),bind(X_594,$fot(multiplication(X_160,codomain(X_934)))),bind(X_595,$fot(X_159))]]) ).

cnf(refute_0_1963,plain,
    ( addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) != addition(X_159,X_160)
    | addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) != addition(X_160,addition(X_159,multiplication(X_160,codomain(X_934))))
    | addition(X_160,addition(X_159,multiplication(X_160,codomain(X_934)))) = addition(X_159,X_160) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)),addition(X_159,X_160)) ),[0],$fot(addition(X_160,addition(X_159,multiplication(X_160,codomain(X_934)))))]]) ).

cnf(refute_0_1964,plain,
    ( addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)) != addition(X_159,X_160)
    | addition(X_160,addition(X_159,multiplication(X_160,codomain(X_934)))) = addition(X_159,X_160) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)),addition(X_160,addition(X_159,multiplication(X_160,codomain(X_934))))) )],[refute_0_1962,refute_0_1963]) ).

cnf(refute_0_1965,plain,
    addition(X_160,addition(X_159,multiplication(X_160,codomain(X_934)))) = addition(X_159,X_160),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_160,codomain(X_934)),addition(X_159,X_160)),addition(X_159,X_160)) )],[refute_0_1952,refute_0_1964]) ).

cnf(refute_0_1966,plain,
    addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609)))) = addition(coantidomain(X_609),X_610),
    inference(subst,[],[refute_0_1965:[bind(X_159,$fot(coantidomain(X_609))),bind(X_160,$fot(X_610)),bind(X_934,$fot(X_609))]]) ).

cnf(refute_0_1967,plain,
    ( addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609)))) != addition(coantidomain(X_609),X_610)
    | addition(X_610,coantidomain(X_609)) != addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609))))
    | addition(X_610,coantidomain(X_609)) = addition(coantidomain(X_609),X_610) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_610,coantidomain(X_609)),addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609))))) ),[1],$fot(addition(coantidomain(X_609),X_610))]]) ).

cnf(refute_0_1968,plain,
    ( addition(X_610,coantidomain(X_609)) != addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609))))
    | addition(X_610,coantidomain(X_609)) = addition(coantidomain(X_609),X_610) ),
    inference(resolve,[$cnf( $equal(addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609)))),addition(coantidomain(X_609),X_610)) )],[refute_0_1966,refute_0_1967]) ).

cnf(refute_0_1969,plain,
    addition(X_610,coantidomain(X_609)) = addition(coantidomain(X_609),X_610),
    inference(resolve,[$cnf( $equal(addition(X_610,coantidomain(X_609)),addition(X_610,addition(coantidomain(X_609),multiplication(X_610,codomain(X_609))))) )],[refute_0_1938,refute_0_1968]) ).

cnf(refute_0_1970,plain,
    addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(subst,[],[refute_0_1969:[bind(X_609,$fot(sK2_goals_X0)),bind(X_610,$fot(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1971,plain,
    leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) = leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),
    introduced(tautology,[refl,[$fot(leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_1972,plain,
    ( addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) != leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) = leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))) ),[1,1],$fot(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1973,plain,
    ( addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) = leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),
    inference(resolve,[$cnf( $equal(leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))) )],[refute_0_1971,refute_0_1972]) ).

cnf(refute_0_1974,plain,
    leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) = leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),
    inference(resolve,[$cnf( $equal(addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1970,refute_0_1973]) ).

cnf(refute_0_1975,plain,
    ( leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) != leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))
    | leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) != true
    | leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),true) ),[0],$fot(leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_1976,plain,
    ( leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))) != true
    | leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = true ),
    inference(resolve,[$cnf( $equal(leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) )],[refute_0_1974,refute_0_1975]) ).

cnf(refute_0_1977,plain,
    leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = true,
    inference(resolve,[$cnf( $equal(leq(codomain(sK2_goals_X0),addition(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),true) )],[refute_0_1905,refute_0_1976]) ).

cnf(refute_0_1978,plain,
    ( ifeq(leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != true
    | ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),[0,0],$fot(true)]]) ).

cnf(refute_0_1979,plain,
    ( ifeq(leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),true) )],[refute_0_1977,refute_0_1978]) ).

cnf(refute_0_1980,plain,
    ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(ifeq(leq(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1606,refute_0_1979]) ).

cnf(refute_0_1981,plain,
    addition(one,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = one,
    inference(subst,[],[refute_0_1654:[bind(X_7,$fot(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))]]) ).

cnf(refute_0_1982,plain,
    addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = addition(one,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(subst,[],[refute_0_1684:[bind(X0,$fot(sK2_goals_X0)),bind(X_161,$fot(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_1983,plain,
    ( addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != addition(one,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | addition(one,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != one
    | addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))),bind(Y,$fot(addition(one,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_1984,plain,
    ( addition(one,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != one
    | addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),addition(one,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1982,refute_0_1983]) ).

cnf(refute_0_1985,plain,
    addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one,
    inference(resolve,[$cnf( $equal(addition(one,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) )],[refute_0_1981,refute_0_1984]) ).

cnf(refute_0_1986,plain,
    addition(X_159,addition(multiplication(X_73,X_159),X_161)) = addition(addition(X_159,multiplication(X_73,X_159)),X_161),
    inference(subst,[],[additive_associativity:[bind(A,$fot(X_159)),bind(B,$fot(multiplication(X_73,X_159))),bind(C,$fot(X_161))]]) ).

cnf(refute_0_1987,plain,
    multiplication(addition(one,X_73),X_159) = addition(X_159,multiplication(X_73,X_159)),
    inference(subst,[],[refute_0_4:[bind(X_74,$fot(X_159))]]) ).

cnf(refute_0_1988,plain,
    ( multiplication(addition(one,X_73),X_159) != addition(X_159,multiplication(X_73,X_159))
    | addition(X_159,multiplication(X_73,X_159)) = multiplication(addition(one,X_73),X_159) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(addition(one,X_73),X_159))),bind(Y,$fot(addition(X_159,multiplication(X_73,X_159))))]]) ).

cnf(refute_0_1989,plain,
    addition(X_159,multiplication(X_73,X_159)) = multiplication(addition(one,X_73),X_159),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,X_73),X_159),addition(X_159,multiplication(X_73,X_159))) )],[refute_0_1987,refute_0_1988]) ).

cnf(refute_0_1990,plain,
    ( addition(X_159,addition(multiplication(X_73,X_159),X_161)) != addition(addition(X_159,multiplication(X_73,X_159)),X_161)
    | addition(X_159,multiplication(X_73,X_159)) != multiplication(addition(one,X_73),X_159)
    | addition(X_159,addition(multiplication(X_73,X_159),X_161)) = addition(multiplication(addition(one,X_73),X_159),X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_159,addition(multiplication(X_73,X_159),X_161)),addition(addition(X_159,multiplication(X_73,X_159)),X_161)) ),[1,0],$fot(multiplication(addition(one,X_73),X_159))]]) ).

cnf(refute_0_1991,plain,
    ( addition(X_159,addition(multiplication(X_73,X_159),X_161)) != addition(addition(X_159,multiplication(X_73,X_159)),X_161)
    | addition(X_159,addition(multiplication(X_73,X_159),X_161)) = addition(multiplication(addition(one,X_73),X_159),X_161) ),
    inference(resolve,[$cnf( $equal(addition(X_159,multiplication(X_73,X_159)),multiplication(addition(one,X_73),X_159)) )],[refute_0_1989,refute_0_1990]) ).

cnf(refute_0_1992,plain,
    addition(X_159,addition(multiplication(X_73,X_159),X_161)) = addition(multiplication(addition(one,X_73),X_159),X_161),
    inference(resolve,[$cnf( $equal(addition(X_159,addition(multiplication(X_73,X_159),X_161)),addition(addition(X_159,multiplication(X_73,X_159)),X_161)) )],[refute_0_1986,refute_0_1991]) ).

cnf(refute_0_1993,plain,
    addition(addition(X_216,X_217),addition(multiplication(domain(X_217),addition(X_216,X_217)),X_789)) = addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789),
    inference(subst,[],[refute_0_1992:[bind(X_159,$fot(addition(X_216,X_217))),bind(X_161,$fot(X_789)),bind(X_73,$fot(domain(X_217)))]]) ).

cnf(refute_0_1994,plain,
    ( addition(addition(X_216,X_217),addition(multiplication(domain(X_217),addition(X_216,X_217)),X_789)) != addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)
    | multiplication(domain(X_217),addition(X_216,X_217)) != addition(X_217,multiplication(domain(X_217),X_216))
    | addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_216,X_217),addition(multiplication(domain(X_217),addition(X_216,X_217)),X_789)),addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)) ),[0,1,0],$fot(addition(X_217,multiplication(domain(X_217),X_216)))]]) ).

cnf(refute_0_1995,plain,
    ( addition(addition(X_216,X_217),addition(multiplication(domain(X_217),addition(X_216,X_217)),X_789)) != addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)
    | addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_217),addition(X_216,X_217)),addition(X_217,multiplication(domain(X_217),X_216))) )],[refute_0_326,refute_0_1994]) ).

cnf(refute_0_1996,plain,
    addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),addition(multiplication(domain(X_217),addition(X_216,X_217)),X_789)),addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)) )],[refute_0_1993,refute_0_1995]) ).

cnf(refute_0_1997,plain,
    addition(addition(X_216,X_217),addition(multiplication(domain(X_216),addition(X_216,X_217)),X_789)) = addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789),
    inference(subst,[],[refute_0_1992:[bind(X_159,$fot(addition(X_216,X_217))),bind(X_161,$fot(X_789)),bind(X_73,$fot(domain(X_216)))]]) ).

cnf(refute_0_1998,plain,
    ( addition(addition(X_216,X_217),addition(multiplication(domain(X_216),addition(X_216,X_217)),X_789)) != addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)
    | multiplication(domain(X_216),addition(X_216,X_217)) != addition(X_216,multiplication(domain(X_216),X_217))
    | addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_216,X_217),addition(multiplication(domain(X_216),addition(X_216,X_217)),X_789)),addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)) ),[0,1,0],$fot(addition(X_216,multiplication(domain(X_216),X_217)))]]) ).

cnf(refute_0_1999,plain,
    ( addition(addition(X_216,X_217),addition(multiplication(domain(X_216),addition(X_216,X_217)),X_789)) != addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)
    | addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_216),addition(X_216,X_217)),addition(X_216,multiplication(domain(X_216),X_217))) )],[refute_0_529,refute_0_1998]) ).

cnf(refute_0_2000,plain,
    addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),addition(multiplication(domain(X_216),addition(X_216,X_217)),X_789)),addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)) )],[refute_0_1997,refute_0_1999]) ).

cnf(refute_0_2001,plain,
    addition(A,addition(addition(X_322,A),C)) = addition(addition(A,addition(X_322,A)),C),
    inference(subst,[],[additive_associativity:[bind(B,$fot(addition(X_322,A)))]]) ).

cnf(refute_0_2002,plain,
    ( addition(A,addition(X_322,A)) != addition(X_322,A)
    | addition(A,addition(addition(X_322,A),C)) != addition(addition(A,addition(X_322,A)),C)
    | addition(A,addition(addition(X_322,A),C)) = addition(addition(X_322,A),C) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(addition(X_322,A),C)),addition(addition(A,addition(X_322,A)),C)) ),[1,0],$fot(addition(X_322,A))]]) ).

cnf(refute_0_2003,plain,
    ( addition(A,addition(addition(X_322,A),C)) != addition(addition(A,addition(X_322,A)),C)
    | addition(A,addition(addition(X_322,A),C)) = addition(addition(X_322,A),C) ),
    inference(resolve,[$cnf( $equal(addition(A,addition(X_322,A)),addition(X_322,A)) )],[refute_0_1422,refute_0_2002]) ).

cnf(refute_0_2004,plain,
    addition(A,addition(addition(X_322,A),C)) = addition(addition(X_322,A),C),
    inference(resolve,[$cnf( $equal(addition(A,addition(addition(X_322,A),C)),addition(addition(A,addition(X_322,A)),C)) )],[refute_0_2001,refute_0_2003]) ).

cnf(refute_0_2005,plain,
    addition(addition(X_322,A),C) = addition(X_322,addition(A,C)),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_322)),bind(B,$fot(A))]]) ).

cnf(refute_0_2006,plain,
    addition(A,addition(addition(X_322,A),C)) = addition(A,addition(addition(X_322,A),C)),
    introduced(tautology,[refl,[$fot(addition(A,addition(addition(X_322,A),C)))]]) ).

cnf(refute_0_2007,plain,
    ( addition(A,addition(addition(X_322,A),C)) != addition(A,addition(addition(X_322,A),C))
    | addition(addition(X_322,A),C) != addition(X_322,addition(A,C))
    | addition(A,addition(addition(X_322,A),C)) = addition(A,addition(X_322,addition(A,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(addition(X_322,A),C)),addition(A,addition(addition(X_322,A),C))) ),[1,1],$fot(addition(X_322,addition(A,C)))]]) ).

cnf(refute_0_2008,plain,
    ( addition(addition(X_322,A),C) != addition(X_322,addition(A,C))
    | addition(A,addition(addition(X_322,A),C)) = addition(A,addition(X_322,addition(A,C))) ),
    inference(resolve,[$cnf( $equal(addition(A,addition(addition(X_322,A),C)),addition(A,addition(addition(X_322,A),C))) )],[refute_0_2006,refute_0_2007]) ).

cnf(refute_0_2009,plain,
    addition(A,addition(addition(X_322,A),C)) = addition(A,addition(X_322,addition(A,C))),
    inference(resolve,[$cnf( $equal(addition(addition(X_322,A),C),addition(X_322,addition(A,C))) )],[refute_0_2005,refute_0_2008]) ).

cnf(refute_0_2010,plain,
    ( addition(A,addition(addition(X_322,A),C)) != addition(A,addition(X_322,addition(A,C)))
    | addition(A,addition(addition(X_322,A),C)) != addition(addition(X_322,A),C)
    | addition(A,addition(X_322,addition(A,C))) = addition(addition(X_322,A),C) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(addition(X_322,A),C)),addition(addition(X_322,A),C)) ),[0],$fot(addition(A,addition(X_322,addition(A,C))))]]) ).

cnf(refute_0_2011,plain,
    ( addition(A,addition(addition(X_322,A),C)) != addition(addition(X_322,A),C)
    | addition(A,addition(X_322,addition(A,C))) = addition(addition(X_322,A),C) ),
    inference(resolve,[$cnf( $equal(addition(A,addition(addition(X_322,A),C)),addition(A,addition(X_322,addition(A,C)))) )],[refute_0_2009,refute_0_2010]) ).

cnf(refute_0_2012,plain,
    ( addition(A,addition(X_322,addition(A,C))) != addition(addition(X_322,A),C)
    | addition(addition(X_322,A),C) != addition(X_322,addition(A,C))
    | addition(A,addition(X_322,addition(A,C))) = addition(X_322,addition(A,C)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_322,addition(A,C))),addition(X_322,addition(A,C))) ),[0],$fot(addition(addition(X_322,A),C))]]) ).

cnf(refute_0_2013,plain,
    ( addition(A,addition(X_322,addition(A,C))) != addition(addition(X_322,A),C)
    | addition(A,addition(X_322,addition(A,C))) = addition(X_322,addition(A,C)) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_322,A),C),addition(X_322,addition(A,C))) )],[refute_0_2005,refute_0_2012]) ).

cnf(refute_0_2014,plain,
    ( addition(A,addition(addition(X_322,A),C)) != addition(addition(X_322,A),C)
    | addition(A,addition(X_322,addition(A,C))) = addition(X_322,addition(A,C)) ),
    inference(resolve,[$cnf( $equal(addition(A,addition(X_322,addition(A,C))),addition(addition(X_322,A),C)) )],[refute_0_2011,refute_0_2013]) ).

cnf(refute_0_2015,plain,
    addition(A,addition(X_322,addition(A,C))) = addition(X_322,addition(A,C)),
    inference(resolve,[$cnf( $equal(addition(A,addition(addition(X_322,A),C)),addition(addition(X_322,A),C)) )],[refute_0_2004,refute_0_2014]) ).

cnf(refute_0_2016,plain,
    addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))),
    inference(subst,[],[refute_0_2015:[bind(A,$fot(X_216)),bind(C,$fot(addition(multiplication(domain(X_216),X_217),X_789))),bind(X_322,$fot(X_217))]]) ).

cnf(refute_0_2017,plain,
    addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789) = addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_216)),bind(B,$fot(multiplication(domain(X_216),X_217))),bind(C,$fot(X_789))]]) ).

cnf(refute_0_2018,plain,
    addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)),
    introduced(tautology,[refl,[$fot(addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)))]]) ).

cnf(refute_0_2019,plain,
    ( addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) != addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))
    | addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789) != addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))
    | addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)),addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) ),[1,1],$fot(addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))]]) ).

cnf(refute_0_2020,plain,
    ( addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789) != addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))
    | addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) ),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)),addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) )],[refute_0_2018,refute_0_2019]) ).

cnf(refute_0_2021,plain,
    addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789),addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) )],[refute_0_2017,refute_0_2020]) ).

cnf(refute_0_2022,plain,
    addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) = addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))),
    introduced(tautology,[refl,[$fot(addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))))]]) ).

cnf(refute_0_2023,plain,
    ( addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) != addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)))
    | addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) != addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))
    | addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) = addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))),addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)))) ),[1,1],$fot(addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))))]]) ).

cnf(refute_0_2024,plain,
    ( addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) != addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))
    | addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) = addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) ),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))),addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)))) )],[refute_0_2022,refute_0_2023]) ).

cnf(refute_0_2025,plain,
    addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) = addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)),addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) )],[refute_0_2021,refute_0_2024]) ).

cnf(refute_0_2026,plain,
    ( addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) != addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))
    | addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) != addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))))
    | addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))))),bind(Y,$fot(addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))))),bind(Z,$fot(addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))))]]) ).

cnf(refute_0_2027,plain,
    ( addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) != addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))
    | addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) ),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))),addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))))) )],[refute_0_2025,refute_0_2026]) ).

cnf(refute_0_2028,plain,
    addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))),addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) )],[refute_0_2016,refute_0_2027]) ).

cnf(refute_0_2029,plain,
    addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_216)),bind(B,$fot(X_217)),bind(C,$fot(addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)))]]) ).

cnf(refute_0_2030,plain,
    ( addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) != addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))
    | addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) != addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)))
    | addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)))),bind(Y,$fot(addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))))),bind(Z,$fot(addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))))]]) ).

cnf(refute_0_2031,plain,
    ( addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))) != addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))
    | addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)),addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)))) )],[refute_0_2029,refute_0_2030]) ).

cnf(refute_0_2032,plain,
    addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) = addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789))),addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) )],[refute_0_2028,refute_0_2031]) ).

cnf(refute_0_2033,plain,
    ( addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) != addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))
    | addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) != addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)
    | addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) = addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)),addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)) ),[0],$fot(addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))))]]) ).

cnf(refute_0_2034,plain,
    ( addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) != addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)
    | addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) = addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)),addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789)))) )],[refute_0_2032,refute_0_2033]) ).

cnf(refute_0_2035,plain,
    addition(addition(X_216,X_217),X_789) = addition(X_216,addition(X_217,X_789)),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_216)),bind(B,$fot(X_217)),bind(C,$fot(X_789))]]) ).

cnf(refute_0_2036,plain,
    multiplication(one,addition(X_216,X_217)) = addition(X_216,X_217),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(addition(X_216,X_217)))]]) ).

cnf(refute_0_2037,plain,
    addition(one,domain(X_216)) = one,
    inference(subst,[],[refute_0_407:[bind(X_8,$fot(X_216))]]) ).

cnf(refute_0_2038,plain,
    multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) = multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),
    introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)))]]) ).

cnf(refute_0_2039,plain,
    ( addition(one,domain(X_216)) != one
    | multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) != multiplication(addition(one,domain(X_216)),addition(X_216,X_217))
    | multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) = multiplication(one,addition(X_216,X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),multiplication(addition(one,domain(X_216)),addition(X_216,X_217))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2040,plain,
    ( addition(one,domain(X_216)) != one
    | multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) = multiplication(one,addition(X_216,X_217)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),multiplication(addition(one,domain(X_216)),addition(X_216,X_217))) )],[refute_0_2038,refute_0_2039]) ).

cnf(refute_0_2041,plain,
    multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) = multiplication(one,addition(X_216,X_217)),
    inference(resolve,[$cnf( $equal(addition(one,domain(X_216)),one) )],[refute_0_2037,refute_0_2040]) ).

cnf(refute_0_2042,plain,
    ( multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) != multiplication(one,addition(X_216,X_217))
    | multiplication(one,addition(X_216,X_217)) != addition(X_216,X_217)
    | multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) = addition(X_216,X_217) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)))),bind(Y,$fot(multiplication(one,addition(X_216,X_217)))),bind(Z,$fot(addition(X_216,X_217)))]]) ).

cnf(refute_0_2043,plain,
    ( multiplication(one,addition(X_216,X_217)) != addition(X_216,X_217)
    | multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) = addition(X_216,X_217) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),multiplication(one,addition(X_216,X_217))) )],[refute_0_2041,refute_0_2042]) ).

cnf(refute_0_2044,plain,
    multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) = addition(X_216,X_217),
    inference(resolve,[$cnf( $equal(multiplication(one,addition(X_216,X_217)),addition(X_216,X_217)) )],[refute_0_2036,refute_0_2043]) ).

cnf(refute_0_2045,plain,
    addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) = addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789),
    introduced(tautology,[refl,[$fot(addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789))]]) ).

cnf(refute_0_2046,plain,
    ( addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) != addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)
    | multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) != addition(X_216,X_217)
    | addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) = addition(addition(X_216,X_217),X_789) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789),addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)) ),[1,0],$fot(addition(X_216,X_217))]]) ).

cnf(refute_0_2047,plain,
    ( multiplication(addition(one,domain(X_216)),addition(X_216,X_217)) != addition(X_216,X_217)
    | addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) = addition(addition(X_216,X_217),X_789) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789),addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)) )],[refute_0_2045,refute_0_2046]) ).

cnf(refute_0_2048,plain,
    addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) = addition(addition(X_216,X_217),X_789),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),addition(X_216,X_217)) )],[refute_0_2044,refute_0_2047]) ).

cnf(refute_0_2049,plain,
    ( addition(addition(X_216,X_217),X_789) != addition(X_216,addition(X_217,X_789))
    | addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) != addition(addition(X_216,X_217),X_789)
    | addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) = addition(X_216,addition(X_217,X_789)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789))),bind(Y,$fot(addition(addition(X_216,X_217),X_789))),bind(Z,$fot(addition(X_216,addition(X_217,X_789))))]]) ).

cnf(refute_0_2050,plain,
    ( addition(addition(X_216,X_217),X_789) != addition(X_216,addition(X_217,X_789))
    | addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) = addition(X_216,addition(X_217,X_789)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789),addition(addition(X_216,X_217),X_789)) )],[refute_0_2048,refute_0_2049]) ).

cnf(refute_0_2051,plain,
    addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) = addition(X_216,addition(X_217,X_789)),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),X_789),addition(X_216,addition(X_217,X_789))) )],[refute_0_2035,refute_0_2050]) ).

cnf(refute_0_2052,plain,
    ( addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) != addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)
    | addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789) != addition(X_216,addition(X_217,X_789))
    | addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) = addition(X_216,addition(X_217,X_789)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))),addition(X_216,addition(X_217,X_789))) ),[0],$fot(addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789))]]) ).

cnf(refute_0_2053,plain,
    ( addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) != addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)
    | addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) = addition(X_216,addition(X_217,X_789)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789),addition(X_216,addition(X_217,X_789))) )],[refute_0_2051,refute_0_2052]) ).

cnf(refute_0_2054,plain,
    ( addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)) != addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)
    | addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) = addition(X_216,addition(X_217,X_789)) ),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))),addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)) )],[refute_0_2034,refute_0_2053]) ).

cnf(refute_0_2055,plain,
    addition(X_217,addition(X_216,addition(multiplication(domain(X_216),X_217),X_789))) = addition(X_216,addition(X_217,X_789)),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),addition(addition(X_216,multiplication(domain(X_216),X_217)),X_789)),addition(multiplication(addition(one,domain(X_216)),addition(X_216,X_217)),X_789)) )],[refute_0_2000,refute_0_2054]) ).

cnf(refute_0_2056,plain,
    addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) = addition(X_217,addition(X_216,X_789)),
    inference(subst,[],[refute_0_2055:[bind(X_216,$fot(X_217)),bind(X_217,$fot(X_216))]]) ).

cnf(refute_0_2057,plain,
    addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) = addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)),
    inference(subst,[],[refute_0_1077:[bind(X_160,$fot(X_217)),bind(X_161,$fot(addition(multiplication(domain(X_217),X_216),X_789)))]]) ).

cnf(refute_0_2058,plain,
    addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789) = addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_217)),bind(B,$fot(multiplication(domain(X_217),X_216))),bind(C,$fot(X_789))]]) ).

cnf(refute_0_2059,plain,
    addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),
    introduced(tautology,[refl,[$fot(addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))]]) ).

cnf(refute_0_2060,plain,
    ( addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))
    | addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789) != addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))
    | addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) ),[1,1],$fot(addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)))]]) ).

cnf(refute_0_2061,plain,
    ( addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789) != addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))
    | addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) ),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) )],[refute_0_2059,refute_0_2060]) ).

cnf(refute_0_2062,plain,
    addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))),
    inference(resolve,[$cnf( $equal(addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789),addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) )],[refute_0_2058,refute_0_2061]) ).

cnf(refute_0_2063,plain,
    ( addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) != addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))
    | addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)))
    | addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))),bind(Y,$fot(addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))))),bind(Z,$fot(addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))))]]) ).

cnf(refute_0_2064,plain,
    ( addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) != addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))
    | addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)) ),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)))) )],[refute_0_2062,refute_0_2063]) ).

cnf(refute_0_2065,plain,
    addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))),addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) )],[refute_0_2057,refute_0_2064]) ).

cnf(refute_0_2066,plain,
    addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) = addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))),
    introduced(tautology,[refl,[$fot(addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))))]]) ).

cnf(refute_0_2067,plain,
    ( addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) != addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))
    | addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))
    | addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) = addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))),addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))) ),[1,1],$fot(addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)))]]) ).

cnf(refute_0_2068,plain,
    ( addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))
    | addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) = addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) ),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))),addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))) )],[refute_0_2066,refute_0_2067]) ).

cnf(refute_0_2069,plain,
    addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) = addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) )],[refute_0_2065,refute_0_2068]) ).

cnf(refute_0_2070,plain,
    ( addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) != addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)))
    | addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) != addition(X_217,addition(X_216,X_789))
    | addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) = addition(X_217,addition(X_216,X_789)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))))),bind(Y,$fot(addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))))),bind(Z,$fot(addition(X_217,addition(X_216,X_789))))]]) ).

cnf(refute_0_2071,plain,
    ( addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))) != addition(X_217,addition(X_216,X_789))
    | addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) = addition(X_217,addition(X_216,X_789)) ),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))),addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789)))) )],[refute_0_2069,refute_0_2070]) ).

cnf(refute_0_2072,plain,
    addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) = addition(X_217,addition(X_216,X_789)),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,addition(multiplication(domain(X_217),X_216),X_789))),addition(X_217,addition(X_216,X_789))) )],[refute_0_2056,refute_0_2071]) ).

cnf(refute_0_2073,plain,
    addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_216)),bind(B,$fot(X_217)),bind(C,$fot(addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))]]) ).

cnf(refute_0_2074,plain,
    ( addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) != addition(X_217,addition(X_216,X_789))
    | addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))
    | addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(X_216,X_789)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))),bind(Y,$fot(addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))))),bind(Z,$fot(addition(X_217,addition(X_216,X_789))))]]) ).

cnf(refute_0_2075,plain,
    ( addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))) != addition(X_217,addition(X_216,X_789))
    | addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(X_216,X_789)) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)))) )],[refute_0_2073,refute_0_2074]) ).

cnf(refute_0_2076,plain,
    addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) = addition(X_217,addition(X_216,X_789)),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789))),addition(X_217,addition(X_216,X_789))) )],[refute_0_2072,refute_0_2075]) ).

cnf(refute_0_2077,plain,
    ( addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(X_217,addition(X_216,X_789))
    | addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)
    | addition(X_217,addition(X_216,X_789)) = addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)) ),[0],$fot(addition(X_217,addition(X_216,X_789)))]]) ).

cnf(refute_0_2078,plain,
    ( addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)
    | addition(X_217,addition(X_216,X_789)) = addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),addition(X_217,addition(X_216,X_789))) )],[refute_0_2076,refute_0_2077]) ).

cnf(refute_0_2079,plain,
    addition(one,domain(X_217)) = one,
    inference(subst,[],[refute_0_407:[bind(X_8,$fot(X_217))]]) ).

cnf(refute_0_2080,plain,
    multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) = multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),
    introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)))]]) ).

cnf(refute_0_2081,plain,
    ( addition(one,domain(X_217)) != one
    | multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) != multiplication(addition(one,domain(X_217)),addition(X_216,X_217))
    | multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) = multiplication(one,addition(X_216,X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2082,plain,
    ( addition(one,domain(X_217)) != one
    | multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) = multiplication(one,addition(X_216,X_217)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) )],[refute_0_2080,refute_0_2081]) ).

cnf(refute_0_2083,plain,
    multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) = multiplication(one,addition(X_216,X_217)),
    inference(resolve,[$cnf( $equal(addition(one,domain(X_217)),one) )],[refute_0_2079,refute_0_2082]) ).

cnf(refute_0_2084,plain,
    ( multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) != multiplication(one,addition(X_216,X_217))
    | multiplication(one,addition(X_216,X_217)) != addition(X_216,X_217)
    | multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) = addition(X_216,X_217) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)))),bind(Y,$fot(multiplication(one,addition(X_216,X_217)))),bind(Z,$fot(addition(X_216,X_217)))]]) ).

cnf(refute_0_2085,plain,
    ( multiplication(one,addition(X_216,X_217)) != addition(X_216,X_217)
    | multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) = addition(X_216,X_217) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),multiplication(one,addition(X_216,X_217))) )],[refute_0_2083,refute_0_2084]) ).

cnf(refute_0_2086,plain,
    multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) = addition(X_216,X_217),
    inference(resolve,[$cnf( $equal(multiplication(one,addition(X_216,X_217)),addition(X_216,X_217)) )],[refute_0_2036,refute_0_2085]) ).

cnf(refute_0_2087,plain,
    addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) = addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789),
    introduced(tautology,[refl,[$fot(addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789))]]) ).

cnf(refute_0_2088,plain,
    ( addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) != addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)
    | multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) != addition(X_216,X_217)
    | addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) = addition(addition(X_216,X_217),X_789) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789),addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)) ),[1,0],$fot(addition(X_216,X_217))]]) ).

cnf(refute_0_2089,plain,
    ( multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) != addition(X_216,X_217)
    | addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) = addition(addition(X_216,X_217),X_789) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789),addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)) )],[refute_0_2087,refute_0_2088]) ).

cnf(refute_0_2090,plain,
    addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) = addition(addition(X_216,X_217),X_789),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),addition(X_216,X_217)) )],[refute_0_2086,refute_0_2089]) ).

cnf(refute_0_2091,plain,
    ( addition(addition(X_216,X_217),X_789) != addition(X_216,addition(X_217,X_789))
    | addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) != addition(addition(X_216,X_217),X_789)
    | addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) = addition(X_216,addition(X_217,X_789)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789))),bind(Y,$fot(addition(addition(X_216,X_217),X_789))),bind(Z,$fot(addition(X_216,addition(X_217,X_789))))]]) ).

cnf(refute_0_2092,plain,
    ( addition(addition(X_216,X_217),X_789) != addition(X_216,addition(X_217,X_789))
    | addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) = addition(X_216,addition(X_217,X_789)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789),addition(addition(X_216,X_217),X_789)) )],[refute_0_2090,refute_0_2091]) ).

cnf(refute_0_2093,plain,
    addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) = addition(X_216,addition(X_217,X_789)),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),X_789),addition(X_216,addition(X_217,X_789))) )],[refute_0_2035,refute_0_2092]) ).

cnf(refute_0_2094,plain,
    ( addition(X_217,addition(X_216,X_789)) != addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)
    | addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789) != addition(X_216,addition(X_217,X_789))
    | addition(X_217,addition(X_216,X_789)) = addition(X_216,addition(X_217,X_789)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_217,addition(X_216,X_789)),addition(X_216,addition(X_217,X_789))) ),[0],$fot(addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789))]]) ).

cnf(refute_0_2095,plain,
    ( addition(X_217,addition(X_216,X_789)) != addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)
    | addition(X_217,addition(X_216,X_789)) = addition(X_216,addition(X_217,X_789)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789),addition(X_216,addition(X_217,X_789))) )],[refute_0_2093,refute_0_2094]) ).

cnf(refute_0_2096,plain,
    ( addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)) != addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)
    | addition(X_217,addition(X_216,X_789)) = addition(X_216,addition(X_217,X_789)) ),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(X_216,X_789)),addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)) )],[refute_0_2078,refute_0_2095]) ).

cnf(refute_0_2097,plain,
    addition(X_217,addition(X_216,X_789)) = addition(X_216,addition(X_217,X_789)),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),addition(addition(X_217,multiplication(domain(X_217),X_216)),X_789)),addition(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),X_789)) )],[refute_0_1996,refute_0_2096]) ).

cnf(refute_0_2098,plain,
    ( addition(X_217,addition(X_216,X_789)) != addition(X_216,addition(X_217,X_789))
    | addition(X_216,addition(X_217,X_789)) = addition(X_217,addition(X_216,X_789)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_217,addition(X_216,X_789)))),bind(Y,$fot(addition(X_216,addition(X_217,X_789))))]]) ).

cnf(refute_0_2099,plain,
    addition(X_216,addition(X_217,X_789)) = addition(X_217,addition(X_216,X_789)),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(X_216,X_789)),addition(X_216,addition(X_217,X_789))) )],[refute_0_2097,refute_0_2098]) ).

cnf(refute_0_2100,plain,
    addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),
    inference(subst,[],[refute_0_2099:[bind(X_216,$fot(codomain(sK2_goals_X0))),bind(X_217,$fot(coantidomain(sK2_goals_X0))),bind(X_789,$fot(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_2101,plain,
    ( addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != one
    | addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))
    | addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))),bind(Y,$fot(addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2102,plain,
    ( addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != one
    | addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one ),
    inference(resolve,[$cnf( $equal(addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) )],[refute_0_2100,refute_0_2101]) ).

cnf(refute_0_2103,plain,
    addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one,
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK2_goals_X0),addition(codomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),one) )],[refute_0_1985,refute_0_2102]) ).

cnf(refute_0_2104,plain,
    multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(addition(X_1057,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1))),
    inference(subst,[],[refute_0_845:[bind(X_215,$fot(addition(X_1057,codomain(sK2_goals_X0)))),bind(X_217,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_2105,plain,
    multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) = addition(multiplication(A,coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1))),
    inference(subst,[],[left_distributivity:[bind(B,$fot(codomain(sK2_goals_X0))),bind(C,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_2106,plain,
    ( multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) != addition(multiplication(A,coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)) != zero
    | multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) = addition(multiplication(A,coantidomain(sK1_goals_X1)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)),addition(multiplication(A,coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2107,plain,
    ( multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) != addition(multiplication(A,coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))
    | multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) = addition(multiplication(A,coantidomain(sK1_goals_X1)),zero) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)),zero) )],[refute_0_1523,refute_0_2106]) ).

cnf(refute_0_2108,plain,
    multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) = addition(multiplication(A,coantidomain(sK1_goals_X1)),zero),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)),addition(multiplication(A,coantidomain(sK1_goals_X1)),multiplication(codomain(sK2_goals_X0),coantidomain(sK1_goals_X1)))) )],[refute_0_2105,refute_0_2107]) ).

cnf(refute_0_2109,plain,
    addition(multiplication(A,coantidomain(sK1_goals_X1)),zero) = multiplication(A,coantidomain(sK1_goals_X1)),
    inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(A,coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_2110,plain,
    ( addition(multiplication(A,coantidomain(sK1_goals_X1)),zero) != multiplication(A,coantidomain(sK1_goals_X1))
    | multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) != addition(multiplication(A,coantidomain(sK1_goals_X1)),zero)
    | multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) = multiplication(A,coantidomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)),addition(multiplication(A,coantidomain(sK1_goals_X1)),zero)) ),[1],$fot(multiplication(A,coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_2111,plain,
    ( multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) != addition(multiplication(A,coantidomain(sK1_goals_X1)),zero)
    | multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) = multiplication(A,coantidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(A,coantidomain(sK1_goals_X1)),zero),multiplication(A,coantidomain(sK1_goals_X1))) )],[refute_0_2109,refute_0_2110]) ).

cnf(refute_0_2112,plain,
    multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) = multiplication(A,coantidomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)),addition(multiplication(A,coantidomain(sK1_goals_X1)),zero)) )],[refute_0_2108,refute_0_2111]) ).

cnf(refute_0_2113,plain,
    multiplication(addition(X_1057,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) = multiplication(X_1057,coantidomain(sK1_goals_X1)),
    inference(subst,[],[refute_0_2112:[bind(A,$fot(X_1057))]]) ).

cnf(refute_0_2114,plain,
    ( multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) != addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(addition(X_1057,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)))
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) != multiplication(X_1057,coantidomain(sK1_goals_X1))
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(addition(X_1057,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)))) ),[1,1],$fot(multiplication(X_1057,coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_2115,plain,
    ( multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) != addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(addition(X_1057,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)))
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)),multiplication(X_1057,coantidomain(sK1_goals_X1))) )],[refute_0_2113,refute_0_2114]) ).

cnf(refute_0_2116,plain,
    multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(addition(X_1057,codomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)))) )],[refute_0_2104,refute_0_2115]) ).

cnf(refute_0_2117,plain,
    multiplication(addition(X_1057,codomain(sK2_goals_X0)),one) = addition(X_1057,codomain(sK2_goals_X0)),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(addition(X_1057,codomain(sK2_goals_X0))))]]) ).

cnf(refute_0_2118,plain,
    multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),
    introduced(tautology,[refl,[$fot(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_2119,plain,
    ( addition(one,coantidomain(sK1_goals_X1)) != one
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) != multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1)))
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = multiplication(addition(X_1057,codomain(sK2_goals_X0)),one) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2120,plain,
    ( addition(one,coantidomain(sK1_goals_X1)) != one
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = multiplication(addition(X_1057,codomain(sK2_goals_X0)),one) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1)))) )],[refute_0_2118,refute_0_2119]) ).

cnf(refute_0_2121,plain,
    multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = multiplication(addition(X_1057,codomain(sK2_goals_X0)),one),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(sK1_goals_X1)),one) )],[refute_0_1802,refute_0_2120]) ).

cnf(refute_0_2122,plain,
    ( multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) != multiplication(addition(X_1057,codomain(sK2_goals_X0)),one)
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),one) != addition(X_1057,codomain(sK2_goals_X0))
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = addition(X_1057,codomain(sK2_goals_X0)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))))),bind(Y,$fot(multiplication(addition(X_1057,codomain(sK2_goals_X0)),one))),bind(Z,$fot(addition(X_1057,codomain(sK2_goals_X0))))]]) ).

cnf(refute_0_2123,plain,
    ( multiplication(addition(X_1057,codomain(sK2_goals_X0)),one) != addition(X_1057,codomain(sK2_goals_X0))
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = addition(X_1057,codomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),multiplication(addition(X_1057,codomain(sK2_goals_X0)),one)) )],[refute_0_2121,refute_0_2122]) ).

cnf(refute_0_2124,plain,
    multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) = addition(X_1057,codomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),one),addition(X_1057,codomain(sK2_goals_X0))) )],[refute_0_2117,refute_0_2123]) ).

cnf(refute_0_2125,plain,
    ( multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) != addition(X_1057,codomain(sK2_goals_X0))
    | multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) != addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1)))
    | addition(X_1057,codomain(sK2_goals_X0)) = addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1)))) ),[0],$fot(addition(X_1057,codomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2126,plain,
    ( multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) != addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1)))
    | addition(X_1057,codomain(sK2_goals_X0)) = addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),addition(X_1057,codomain(sK2_goals_X0))) )],[refute_0_2124,refute_0_2125]) ).

cnf(refute_0_2127,plain,
    addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))) = addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1)))),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_1057)),bind(B,$fot(codomain(sK2_goals_X0))),bind(C,$fot(multiplication(X_1057,coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_2128,plain,
    ( addition(X_1057,codomain(sK2_goals_X0)) != addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1)))
    | addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))) != addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1))))
    | addition(X_1057,codomain(sK2_goals_X0)) = addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_1057,codomain(sK2_goals_X0)),addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1))))) ),[0],$fot(addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))))]]) ).

cnf(refute_0_2129,plain,
    ( addition(X_1057,codomain(sK2_goals_X0)) != addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1)))
    | addition(X_1057,codomain(sK2_goals_X0)) = addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1)))) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1))),addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1))))) )],[refute_0_2127,refute_0_2128]) ).

cnf(refute_0_2130,plain,
    ( multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))) != addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1)))
    | addition(X_1057,codomain(sK2_goals_X0)) = addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1)))) ),
    inference(resolve,[$cnf( $equal(addition(X_1057,codomain(sK2_goals_X0)),addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1)))) )],[refute_0_2126,refute_0_2129]) ).

cnf(refute_0_2131,plain,
    addition(X_1057,codomain(sK2_goals_X0)) = addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1)))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_1057,codomain(sK2_goals_X0)),addition(one,coantidomain(sK1_goals_X1))),addition(addition(X_1057,codomain(sK2_goals_X0)),multiplication(X_1057,coantidomain(sK1_goals_X1)))) )],[refute_0_2116,refute_0_2130]) ).

cnf(refute_0_2132,plain,
    addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) = addition(X_159,addition(X_160,multiplication(X_160,coantidomain(X_1283)))),
    inference(subst,[],[refute_0_840:[bind(A,$fot(multiplication(X_160,coantidomain(X_1283))))]]) ).

cnf(refute_0_2133,plain,
    multiplication(X_229,addition(one,coantidomain(codomain(X_164)))) = addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))),
    inference(subst,[],[refute_0_845:[bind(X_215,$fot(X_229)),bind(X_217,$fot(coantidomain(codomain(X_164))))]]) ).

cnf(refute_0_2134,plain,
    ( addition(one,coantidomain(codomain(X_164))) != one
    | multiplication(X_229,addition(one,coantidomain(codomain(X_164)))) != addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))
    | multiplication(X_229,one) = addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_229,addition(one,coantidomain(codomain(X_164)))),addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_2135,plain,
    ( multiplication(X_229,addition(one,coantidomain(codomain(X_164)))) != addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))
    | multiplication(X_229,one) = addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) ),
    inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_164))),one) )],[refute_0_329,refute_0_2134]) ).

cnf(refute_0_2136,plain,
    multiplication(X_229,one) = addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))),
    inference(resolve,[$cnf( $equal(multiplication(X_229,addition(one,coantidomain(codomain(X_164)))),addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))) )],[refute_0_2133,refute_0_2135]) ).

cnf(refute_0_2137,plain,
    ( multiplication(X_229,one) != X_229
    | multiplication(X_229,one) != addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))
    | X_229 = addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_229,one),addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))) ),[0],$fot(X_229)]]) ).

cnf(refute_0_2138,plain,
    ( multiplication(X_229,one) != addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))
    | X_229 = addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) ),
    inference(resolve,[$cnf( $equal(multiplication(X_229,one),X_229) )],[refute_0_898,refute_0_2137]) ).

cnf(refute_0_2139,plain,
    X_229 = addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))),
    inference(resolve,[$cnf( $equal(multiplication(X_229,one),addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))) )],[refute_0_2136,refute_0_2138]) ).

cnf(refute_0_2140,plain,
    multiplication(X_229,coantidomain(codomain(X_164))) = multiplication(X_229,coantidomain(codomain(X_164))),
    introduced(tautology,[refl,[$fot(multiplication(X_229,coantidomain(codomain(X_164))))]]) ).

cnf(refute_0_2141,plain,
    ( coantidomain(codomain(X_164)) != coantidomain(X_164)
    | multiplication(X_229,coantidomain(codomain(X_164))) != multiplication(X_229,coantidomain(codomain(X_164)))
    | multiplication(X_229,coantidomain(codomain(X_164))) = multiplication(X_229,coantidomain(X_164)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_229,coantidomain(codomain(X_164))),multiplication(X_229,coantidomain(codomain(X_164)))) ),[1,1],$fot(coantidomain(X_164))]]) ).

cnf(refute_0_2142,plain,
    ( coantidomain(codomain(X_164)) != coantidomain(X_164)
    | multiplication(X_229,coantidomain(codomain(X_164))) = multiplication(X_229,coantidomain(X_164)) ),
    inference(resolve,[$cnf( $equal(multiplication(X_229,coantidomain(codomain(X_164))),multiplication(X_229,coantidomain(codomain(X_164)))) )],[refute_0_2140,refute_0_2141]) ).

cnf(refute_0_2143,plain,
    multiplication(X_229,coantidomain(codomain(X_164))) = multiplication(X_229,coantidomain(X_164)),
    inference(resolve,[$cnf( $equal(coantidomain(codomain(X_164)),coantidomain(X_164)) )],[refute_0_696,refute_0_2142]) ).

cnf(refute_0_2144,plain,
    addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) = addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))),
    introduced(tautology,[refl,[$fot(addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))))]]) ).

cnf(refute_0_2145,plain,
    ( addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) != addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))
    | multiplication(X_229,coantidomain(codomain(X_164))) != multiplication(X_229,coantidomain(X_164))
    | addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) = addition(X_229,multiplication(X_229,coantidomain(X_164))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))),addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))) ),[1,1],$fot(multiplication(X_229,coantidomain(X_164)))]]) ).

cnf(refute_0_2146,plain,
    ( multiplication(X_229,coantidomain(codomain(X_164))) != multiplication(X_229,coantidomain(X_164))
    | addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) = addition(X_229,multiplication(X_229,coantidomain(X_164))) ),
    inference(resolve,[$cnf( $equal(addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))),addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))) )],[refute_0_2144,refute_0_2145]) ).

cnf(refute_0_2147,plain,
    addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) = addition(X_229,multiplication(X_229,coantidomain(X_164))),
    inference(resolve,[$cnf( $equal(multiplication(X_229,coantidomain(codomain(X_164))),multiplication(X_229,coantidomain(X_164))) )],[refute_0_2143,refute_0_2146]) ).

cnf(refute_0_2148,plain,
    ( X_229 != addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))
    | addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))) != addition(X_229,multiplication(X_229,coantidomain(X_164)))
    | X_229 = addition(X_229,multiplication(X_229,coantidomain(X_164))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_229,addition(X_229,multiplication(X_229,coantidomain(X_164)))) ),[0],$fot(addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))))]]) ).

cnf(refute_0_2149,plain,
    ( X_229 != addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))
    | X_229 = addition(X_229,multiplication(X_229,coantidomain(X_164))) ),
    inference(resolve,[$cnf( $equal(addition(X_229,multiplication(X_229,coantidomain(codomain(X_164)))),addition(X_229,multiplication(X_229,coantidomain(X_164)))) )],[refute_0_2147,refute_0_2148]) ).

cnf(refute_0_2150,plain,
    X_229 = addition(X_229,multiplication(X_229,coantidomain(X_164))),
    inference(resolve,[$cnf( $equal(X_229,addition(X_229,multiplication(X_229,coantidomain(codomain(X_164))))) )],[refute_0_2139,refute_0_2149]) ).

cnf(refute_0_2151,plain,
    X_160 = addition(X_160,multiplication(X_160,coantidomain(X_1283))),
    inference(subst,[],[refute_0_2150:[bind(X_164,$fot(X_1283)),bind(X_229,$fot(X_160))]]) ).

cnf(refute_0_2152,plain,
    ( X_160 != addition(X_160,multiplication(X_160,coantidomain(X_1283)))
    | addition(X_160,multiplication(X_160,coantidomain(X_1283))) = X_160 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_160)),bind(Y,$fot(addition(X_160,multiplication(X_160,coantidomain(X_1283)))))]]) ).

cnf(refute_0_2153,plain,
    addition(X_160,multiplication(X_160,coantidomain(X_1283))) = X_160,
    inference(resolve,[$cnf( $equal(X_160,addition(X_160,multiplication(X_160,coantidomain(X_1283)))) )],[refute_0_2151,refute_0_2152]) ).

cnf(refute_0_2154,plain,
    ( addition(X_160,multiplication(X_160,coantidomain(X_1283))) != X_160
    | addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) != addition(X_159,addition(X_160,multiplication(X_160,coantidomain(X_1283))))
    | addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) = addition(X_159,X_160) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)),addition(X_159,addition(X_160,multiplication(X_160,coantidomain(X_1283))))) ),[1,1],$fot(X_160)]]) ).

cnf(refute_0_2155,plain,
    ( addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) != addition(X_159,addition(X_160,multiplication(X_160,coantidomain(X_1283))))
    | addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) = addition(X_159,X_160) ),
    inference(resolve,[$cnf( $equal(addition(X_160,multiplication(X_160,coantidomain(X_1283))),X_160) )],[refute_0_2153,refute_0_2154]) ).

cnf(refute_0_2156,plain,
    addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) = addition(X_159,X_160),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)),addition(X_159,addition(X_160,multiplication(X_160,coantidomain(X_1283))))) )],[refute_0_2132,refute_0_2155]) ).

cnf(refute_0_2157,plain,
    addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) = addition(X_160,addition(X_159,multiplication(X_160,coantidomain(X_1283)))),
    inference(subst,[],[refute_0_1961:[bind(X_593,$fot(X_160)),bind(X_594,$fot(multiplication(X_160,coantidomain(X_1283)))),bind(X_595,$fot(X_159))]]) ).

cnf(refute_0_2158,plain,
    ( addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) != addition(X_159,X_160)
    | addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) != addition(X_160,addition(X_159,multiplication(X_160,coantidomain(X_1283))))
    | addition(X_160,addition(X_159,multiplication(X_160,coantidomain(X_1283)))) = addition(X_159,X_160) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)),addition(X_159,X_160)) ),[0],$fot(addition(X_160,addition(X_159,multiplication(X_160,coantidomain(X_1283)))))]]) ).

cnf(refute_0_2159,plain,
    ( addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)) != addition(X_159,X_160)
    | addition(X_160,addition(X_159,multiplication(X_160,coantidomain(X_1283)))) = addition(X_159,X_160) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)),addition(X_160,addition(X_159,multiplication(X_160,coantidomain(X_1283))))) )],[refute_0_2157,refute_0_2158]) ).

cnf(refute_0_2160,plain,
    addition(X_160,addition(X_159,multiplication(X_160,coantidomain(X_1283)))) = addition(X_159,X_160),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_160,coantidomain(X_1283)),addition(X_159,X_160)),addition(X_159,X_160)) )],[refute_0_2156,refute_0_2159]) ).

cnf(refute_0_2161,plain,
    addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1)))) = addition(codomain(sK2_goals_X0),X_1057),
    inference(subst,[],[refute_0_2160:[bind(X_1283,$fot(sK1_goals_X1)),bind(X_159,$fot(codomain(sK2_goals_X0))),bind(X_160,$fot(X_1057))]]) ).

cnf(refute_0_2162,plain,
    ( addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1)))) != addition(codomain(sK2_goals_X0),X_1057)
    | addition(X_1057,codomain(sK2_goals_X0)) != addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1))))
    | addition(X_1057,codomain(sK2_goals_X0)) = addition(codomain(sK2_goals_X0),X_1057) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_1057,codomain(sK2_goals_X0)),addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1))))) ),[1],$fot(addition(codomain(sK2_goals_X0),X_1057))]]) ).

cnf(refute_0_2163,plain,
    ( addition(X_1057,codomain(sK2_goals_X0)) != addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1))))
    | addition(X_1057,codomain(sK2_goals_X0)) = addition(codomain(sK2_goals_X0),X_1057) ),
    inference(resolve,[$cnf( $equal(addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1)))),addition(codomain(sK2_goals_X0),X_1057)) )],[refute_0_2161,refute_0_2162]) ).

cnf(refute_0_2164,plain,
    addition(X_1057,codomain(sK2_goals_X0)) = addition(codomain(sK2_goals_X0),X_1057),
    inference(resolve,[$cnf( $equal(addition(X_1057,codomain(sK2_goals_X0)),addition(X_1057,addition(codomain(sK2_goals_X0),multiplication(X_1057,coantidomain(sK1_goals_X1))))) )],[refute_0_2131,refute_0_2163]) ).

cnf(refute_0_2165,plain,
    addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)) = addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),
    inference(subst,[],[refute_0_2164:[bind(X_1057,$fot(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_2166,plain,
    ( addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)) != addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))
    | addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != one
    | addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)))),bind(Y,$fot(addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2167,plain,
    ( addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != one
    | addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)) = one ),
    inference(resolve,[$cnf( $equal(addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))) )],[refute_0_2165,refute_0_2166]) ).

cnf(refute_0_2168,plain,
    addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)) = one,
    inference(resolve,[$cnf( $equal(addition(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),one) )],[refute_0_2103,refute_0_2167]) ).

cnf(refute_0_2169,plain,
    ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)))),bind(C,$fot(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_2170,plain,
    ( addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)) != one
    | ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0))
    | ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))),bind(Y,$fot(addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2171,plain,
    ( addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)) != one
    | ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0))) )],[refute_0_2169,refute_0_2170]) ).

cnf(refute_0_2172,plain,
    ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) = one,
    inference(resolve,[$cnf( $equal(addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),one) )],[refute_0_2168,refute_0_2171]) ).

cnf(refute_0_2173,plain,
    ( ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != one
    | one = addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),[0],$fot(one)]]) ).

cnf(refute_0_2174,plain,
    ( ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | one = addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),one) )],[refute_0_2172,refute_0_2173]) ).

cnf(refute_0_2175,plain,
    one = addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(ifeq(true,true,addition(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),codomain(sK2_goals_X0)),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1980,refute_0_2174]) ).

cnf(refute_0_2176,plain,
    ( one != addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_2177,plain,
    addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = one,
    inference(resolve,[$cnf( $equal(one,addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_2175,refute_0_2176]) ).

cnf(refute_0_2178,plain,
    ( addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != one
    | multiplication(sK2_goals_X0,addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(sK2_goals_X0,one) = multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(sK2_goals_X0,addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_2179,plain,
    ( multiplication(sK2_goals_X0,addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) != multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(sK2_goals_X0,one) = multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),one) )],[refute_0_2177,refute_0_2178]) ).

cnf(refute_0_2180,plain,
    multiplication(sK2_goals_X0,one) = multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,addition(coantidomain(sK2_goals_X0),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))),multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_1605,refute_0_2179]) ).

cnf(refute_0_2181,plain,
    multiplication(sK2_goals_X0,one) = sK2_goals_X0,
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_2182,plain,
    ( multiplication(sK2_goals_X0,one) != multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(sK2_goals_X0,one) != sK2_goals_X0
    | sK2_goals_X0 = multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(sK2_goals_X0,one),multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) ),[0],$fot(sK2_goals_X0)]]) ).

cnf(refute_0_2183,plain,
    ( multiplication(sK2_goals_X0,one) != multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | sK2_goals_X0 = multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,one),sK2_goals_X0) )],[refute_0_2181,refute_0_2182]) ).

cnf(refute_0_2184,plain,
    sK2_goals_X0 = multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,one),multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_2180,refute_0_2183]) ).

cnf(refute_0_2185,plain,
    ( sK2_goals_X0 != multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))
    | multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = sK2_goals_X0 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(sK2_goals_X0)),bind(Y,$fot(multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))]]) ).

cnf(refute_0_2186,plain,
    multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) = sK2_goals_X0,
    inference(resolve,[$cnf( $equal(sK2_goals_X0,multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))) )],[refute_0_2184,refute_0_2185]) ).

cnf(refute_0_2187,plain,
    ( multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))) != sK2_goals_X0
    | zero != multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))))
    | zero = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))))) ),[1,1,0,1,0],$fot(sK2_goals_X0)]]) ).

cnf(refute_0_2188,plain,
    ( zero != multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))))
    | zero = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),sK2_goals_X0) )],[refute_0_2186,refute_0_2187]) ).

cnf(refute_0_2189,plain,
    zero = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))),
    inference(resolve,[$cnf( $equal(zero,multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(multiplication(sK2_goals_X0,codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)))))))) )],[refute_0_1604,refute_0_2188]) ).

cnf(refute_0_2190,plain,
    multiplication(addition(coantidomain(sK1_goals_X1),B),coantidomain(sK2_goals_X0)) = addition(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),multiplication(B,coantidomain(sK2_goals_X0))),
    inference(subst,[],[left_distributivity:[bind(A,$fot(coantidomain(sK1_goals_X1))),bind(C,$fot(coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2191,plain,
    multiplication(domain(coantidomain(sK1_goals_X1)),addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) = addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))),
    inference(subst,[],[refute_0_529:[bind(X_216,$fot(coantidomain(sK1_goals_X1))),bind(X_217,$fot(coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2192,plain,
    ( addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) != coantidomain(sK2_goals_X0)
    | multiplication(domain(coantidomain(sK1_goals_X1)),addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) != addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(coantidomain(sK1_goals_X1)),addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))),addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))) ),[0,1],$fot(coantidomain(sK2_goals_X0))]]) ).

cnf(refute_0_2193,plain,
    ( multiplication(domain(coantidomain(sK1_goals_X1)),addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) != addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),coantidomain(sK2_goals_X0)) )],[refute_0_1818,refute_0_2192]) ).

cnf(refute_0_2194,plain,
    multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(sK1_goals_X1)),addition(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))),addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))) )],[refute_0_2191,refute_0_2193]) ).

cnf(refute_0_2195,plain,
    domain(coantidomain(sK1_goals_X1)) = coantidomain(sK1_goals_X1),
    inference(subst,[],[refute_0_1131:[bind(X_7,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_2196,plain,
    multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) = multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)),
    introduced(tautology,[refl,[$fot(multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2197,plain,
    ( domain(coantidomain(sK1_goals_X1)) != coantidomain(sK1_goals_X1)
    | multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) != multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))
    | multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) = multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) ),[1,0],$fot(coantidomain(sK1_goals_X1))]]) ).

cnf(refute_0_2198,plain,
    ( domain(coantidomain(sK1_goals_X1)) != coantidomain(sK1_goals_X1)
    | multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) = multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) )],[refute_0_2196,refute_0_2197]) ).

cnf(refute_0_2199,plain,
    multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) = multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(domain(coantidomain(sK1_goals_X1)),coantidomain(sK1_goals_X1)) )],[refute_0_2195,refute_0_2198]) ).

cnf(refute_0_2200,plain,
    ( multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) != multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))
    | multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))) ),[0],$fot(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2201,plain,
    ( multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) )],[refute_0_2199,refute_0_2200]) ).

cnf(refute_0_2202,plain,
    ( X_229 != addition(X_229,multiplication(X_229,coantidomain(X_164)))
    | addition(X_229,multiplication(X_229,coantidomain(X_164))) = X_229 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_229)),bind(Y,$fot(addition(X_229,multiplication(X_229,coantidomain(X_164)))))]]) ).

cnf(refute_0_2203,plain,
    addition(X_229,multiplication(X_229,coantidomain(X_164))) = X_229,
    inference(resolve,[$cnf( $equal(X_229,addition(X_229,multiplication(X_229,coantidomain(X_164)))) )],[refute_0_2150,refute_0_2202]) ).

cnf(refute_0_2204,plain,
    addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) = coantidomain(sK1_goals_X1),
    inference(subst,[],[refute_0_2203:[bind(X_164,$fot(sK2_goals_X0)),bind(X_229,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_2205,plain,
    addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) = addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))),
    introduced(tautology,[refl,[$fot(addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_2206,plain,
    ( addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) != addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) != multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))
    | addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) = addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))),addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))) ),[1,1],$fot(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2207,plain,
    ( multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) != multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))
    | addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) = addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))),addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))) )],[refute_0_2205,refute_0_2206]) ).

cnf(refute_0_2208,plain,
    addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) = addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) )],[refute_0_2199,refute_0_2207]) ).

cnf(refute_0_2209,plain,
    ( addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) != coantidomain(sK1_goals_X1)
    | addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) != addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)))
    | addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) = coantidomain(sK1_goals_X1) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))))),bind(Y,$fot(addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))))),bind(Z,$fot(coantidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_2210,plain,
    ( addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))) != coantidomain(sK1_goals_X1)
    | addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) = coantidomain(sK1_goals_X1) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))),addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)))) )],[refute_0_2208,refute_0_2209]) ).

cnf(refute_0_2211,plain,
    addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) = coantidomain(sK1_goals_X1),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0))),coantidomain(sK1_goals_X1)) )],[refute_0_2204,refute_0_2210]) ).

cnf(refute_0_2212,plain,
    ( addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))) != coantidomain(sK1_goals_X1)
    | multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) = coantidomain(sK1_goals_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))) ),[1],$fot(coantidomain(sK1_goals_X1))]]) ).

cnf(refute_0_2213,plain,
    ( multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) = coantidomain(sK1_goals_X1) ),
    inference(resolve,[$cnf( $equal(addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0))),coantidomain(sK1_goals_X1)) )],[refute_0_2211,refute_0_2212]) ).

cnf(refute_0_2214,plain,
    ( multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) = coantidomain(sK1_goals_X1) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))) )],[refute_0_2201,refute_0_2213]) ).

cnf(refute_0_2215,plain,
    multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) = coantidomain(sK1_goals_X1),
    inference(resolve,[$cnf( $equal(multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),multiplication(domain(coantidomain(sK1_goals_X1)),coantidomain(sK2_goals_X0)))) )],[refute_0_2194,refute_0_2214]) ).

cnf(refute_0_2216,plain,
    ( multiplication(addition(coantidomain(sK1_goals_X1),B),coantidomain(sK2_goals_X0)) != addition(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),multiplication(B,coantidomain(sK2_goals_X0)))
    | multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)) != coantidomain(sK1_goals_X1)
    | multiplication(addition(coantidomain(sK1_goals_X1),B),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(B,coantidomain(sK2_goals_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(sK1_goals_X1),B),coantidomain(sK2_goals_X0)),addition(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),multiplication(B,coantidomain(sK2_goals_X0)))) ),[1,0],$fot(coantidomain(sK1_goals_X1))]]) ).

cnf(refute_0_2217,plain,
    ( multiplication(addition(coantidomain(sK1_goals_X1),B),coantidomain(sK2_goals_X0)) != addition(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),multiplication(B,coantidomain(sK2_goals_X0)))
    | multiplication(addition(coantidomain(sK1_goals_X1),B),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(B,coantidomain(sK2_goals_X0))) ),
    inference(resolve,[$cnf( $equal(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),coantidomain(sK1_goals_X1)) )],[refute_0_2215,refute_0_2216]) ).

cnf(refute_0_2218,plain,
    multiplication(addition(coantidomain(sK1_goals_X1),B),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(B,coantidomain(sK2_goals_X0))),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(sK1_goals_X1),B),coantidomain(sK2_goals_X0)),addition(multiplication(coantidomain(sK1_goals_X1),coantidomain(sK2_goals_X0)),multiplication(B,coantidomain(sK2_goals_X0)))) )],[refute_0_2190,refute_0_2217]) ).

cnf(refute_0_2219,plain,
    multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)) = addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))),
    inference(subst,[],[refute_0_2218:[bind(B,$fot(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))))]]) ).

cnf(refute_0_2220,plain,
    domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))) = domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))),
    introduced(tautology,[refl,[$fot(domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_2221,plain,
    ( domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))) != domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))
    | multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))) = domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))),domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) ),[1,0],$fot(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_2222,plain,
    ( multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)) != addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))
    | domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))) = domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))) ),
    inference(resolve,[$cnf( $equal(domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))),domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) )],[refute_0_2220,refute_0_2221]) ).

cnf(refute_0_2223,plain,
    domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))) = domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)),addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))) )],[refute_0_2219,refute_0_2222]) ).

cnf(refute_0_2224,plain,
    multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) = multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))),
    introduced(tautology,[refl,[$fot(multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))))]]) ).

cnf(refute_0_2225,plain,
    ( domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))) != domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))
    | multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) != multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))))
    | multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) = multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))),multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))))) ),[1,1],$fot(domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))]]) ).

cnf(refute_0_2226,plain,
    ( domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))) != domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))
    | multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) = multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))),multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))))) )],[refute_0_2224,refute_0_2225]) ).

cnf(refute_0_2227,plain,
    multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) = multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),
    inference(resolve,[$cnf( $equal(domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) )],[refute_0_2223,refute_0_2226]) ).

cnf(refute_0_2228,plain,
    ( multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))) != multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | zero != multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))))
    | zero = multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))))) ),[1],$fot(multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))]]) ).

cnf(refute_0_2229,plain,
    ( zero != multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))))
    | zero = multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0)))),multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) )],[refute_0_2227,refute_0_2228]) ).

cnf(refute_0_2230,plain,
    zero = multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),
    inference(resolve,[$cnf( $equal(zero,multiplication(sK2_goals_X0,domain(multiplication(addition(coantidomain(sK1_goals_X1),codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1))),coantidomain(sK2_goals_X0))))) )],[refute_0_2189,refute_0_2229]) ).

cnf(refute_0_2231,plain,
    ( zero != multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))]]) ).

cnf(refute_0_2232,plain,
    multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) = zero,
    inference(resolve,[$cnf( $equal(zero,multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) )],[refute_0_2230,refute_0_2231]) ).

cnf(refute_0_2233,plain,
    ( multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != zero
    | multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) != zero
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),zero) ),[0,1,1,0],$fot(zero)]]) ).

cnf(refute_0_2234,plain,
    ( multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != zero
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),zero) )],[refute_0_2232,refute_0_2233]) ).

cnf(refute_0_2235,plain,
    multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(multiplication(sK2_goals_X0,domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),zero) )],[refute_0_1575,refute_0_2234]) ).

cnf(refute_0_2236,plain,
    multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = addition(multiplication(codomain(X_282),antidomain(codomain(X_282))),multiplication(codomain(X_282),C)),
    inference(subst,[],[right_distributivity:[bind(A,$fot(codomain(X_282))),bind(B,$fot(antidomain(codomain(X_282))))]]) ).

cnf(refute_0_2237,plain,
    multiplication(addition(codomain(X_280),domain(codomain(X_280))),antidomain(codomain(X_280))) = multiplication(codomain(X_280),antidomain(codomain(X_280))),
    inference(subst,[],[refute_0_313:[bind(X_72,$fot(codomain(X_280))),bind(X_8,$fot(codomain(X_280)))]]) ).

cnf(refute_0_2238,plain,
    multiplication(domain(codomain(X_7)),addition(one,codomain(X_7))) = addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)),
    inference(subst,[],[refute_0_326:[bind(X_216,$fot(one)),bind(X_217,$fot(codomain(X_7)))]]) ).

cnf(refute_0_2239,plain,
    ( addition(one,codomain(X_7)) != one
    | multiplication(domain(codomain(X_7)),addition(one,codomain(X_7))) != addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))
    | multiplication(domain(codomain(X_7)),one) = addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(codomain(X_7)),addition(one,codomain(X_7))),addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_2240,plain,
    ( multiplication(domain(codomain(X_7)),addition(one,codomain(X_7))) != addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))
    | multiplication(domain(codomain(X_7)),one) = addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) ),
    inference(resolve,[$cnf( $equal(addition(one,codomain(X_7)),one) )],[refute_0_1654,refute_0_2239]) ).

cnf(refute_0_2241,plain,
    multiplication(domain(codomain(X_7)),one) = addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)),
    inference(resolve,[$cnf( $equal(multiplication(domain(codomain(X_7)),addition(one,codomain(X_7))),addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))) )],[refute_0_2238,refute_0_2240]) ).

cnf(refute_0_2242,plain,
    multiplication(domain(codomain(X_7)),one) = domain(codomain(X_7)),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(domain(codomain(X_7))))]]) ).

cnf(refute_0_2243,plain,
    ( multiplication(domain(codomain(X_7)),one) != addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))
    | multiplication(domain(codomain(X_7)),one) != domain(codomain(X_7))
    | domain(codomain(X_7)) = addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(codomain(X_7)),one),addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))) ),[0],$fot(domain(codomain(X_7)))]]) ).

cnf(refute_0_2244,plain,
    ( multiplication(domain(codomain(X_7)),one) != addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))
    | domain(codomain(X_7)) = addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(codomain(X_7)),one),domain(codomain(X_7))) )],[refute_0_2242,refute_0_2243]) ).

cnf(refute_0_2245,plain,
    addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) = addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)),
    introduced(tautology,[refl,[$fot(addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)))]]) ).

cnf(refute_0_2246,plain,
    ( addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) != addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))
    | multiplication(domain(codomain(X_7)),one) != domain(codomain(X_7))
    | addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) = addition(codomain(X_7),domain(codomain(X_7))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)),addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))) ),[1,1],$fot(domain(codomain(X_7)))]]) ).

cnf(refute_0_2247,plain,
    ( multiplication(domain(codomain(X_7)),one) != domain(codomain(X_7))
    | addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) = addition(codomain(X_7),domain(codomain(X_7))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)),addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))) )],[refute_0_2245,refute_0_2246]) ).

cnf(refute_0_2248,plain,
    addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) = addition(codomain(X_7),domain(codomain(X_7))),
    inference(resolve,[$cnf( $equal(multiplication(domain(codomain(X_7)),one),domain(codomain(X_7))) )],[refute_0_2242,refute_0_2247]) ).

cnf(refute_0_2249,plain,
    ( addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)) != addition(codomain(X_7),domain(codomain(X_7)))
    | domain(codomain(X_7)) != addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))
    | domain(codomain(X_7)) = addition(codomain(X_7),domain(codomain(X_7))) ),
    introduced(tautology,[equality,[$cnf( $equal(domain(codomain(X_7)),addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))) ),[1],$fot(addition(codomain(X_7),domain(codomain(X_7))))]]) ).

cnf(refute_0_2250,plain,
    ( domain(codomain(X_7)) != addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))
    | domain(codomain(X_7)) = addition(codomain(X_7),domain(codomain(X_7))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X_7),multiplication(domain(codomain(X_7)),one)),addition(codomain(X_7),domain(codomain(X_7)))) )],[refute_0_2248,refute_0_2249]) ).

cnf(refute_0_2251,plain,
    ( multiplication(domain(codomain(X_7)),one) != addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))
    | domain(codomain(X_7)) = addition(codomain(X_7),domain(codomain(X_7))) ),
    inference(resolve,[$cnf( $equal(domain(codomain(X_7)),addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))) )],[refute_0_2244,refute_0_2250]) ).

cnf(refute_0_2252,plain,
    domain(codomain(X_7)) = addition(codomain(X_7),domain(codomain(X_7))),
    inference(resolve,[$cnf( $equal(multiplication(domain(codomain(X_7)),one),addition(codomain(X_7),multiplication(domain(codomain(X_7)),one))) )],[refute_0_2241,refute_0_2251]) ).

cnf(refute_0_2253,plain,
    domain(codomain(X_280)) = addition(codomain(X_280),domain(codomain(X_280))),
    inference(subst,[],[refute_0_2252:[bind(X_7,$fot(X_280))]]) ).

cnf(refute_0_2254,plain,
    ( domain(codomain(X_280)) != addition(codomain(X_280),domain(codomain(X_280)))
    | addition(codomain(X_280),domain(codomain(X_280))) = domain(codomain(X_280)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(domain(codomain(X_280)))),bind(Y,$fot(addition(codomain(X_280),domain(codomain(X_280)))))]]) ).

cnf(refute_0_2255,plain,
    addition(codomain(X_280),domain(codomain(X_280))) = domain(codomain(X_280)),
    inference(resolve,[$cnf( $equal(domain(codomain(X_280)),addition(codomain(X_280),domain(codomain(X_280)))) )],[refute_0_2253,refute_0_2254]) ).

cnf(refute_0_2256,plain,
    ( addition(codomain(X_280),domain(codomain(X_280))) != domain(codomain(X_280))
    | multiplication(addition(codomain(X_280),domain(codomain(X_280))),antidomain(codomain(X_280))) != multiplication(codomain(X_280),antidomain(codomain(X_280)))
    | multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))) = multiplication(codomain(X_280),antidomain(codomain(X_280))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(X_280),domain(codomain(X_280))),antidomain(codomain(X_280))),multiplication(codomain(X_280),antidomain(codomain(X_280)))) ),[0,0],$fot(domain(codomain(X_280)))]]) ).

cnf(refute_0_2257,plain,
    ( multiplication(addition(codomain(X_280),domain(codomain(X_280))),antidomain(codomain(X_280))) != multiplication(codomain(X_280),antidomain(codomain(X_280)))
    | multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))) = multiplication(codomain(X_280),antidomain(codomain(X_280))) ),
    inference(resolve,[$cnf( $equal(addition(codomain(X_280),domain(codomain(X_280))),domain(codomain(X_280))) )],[refute_0_2255,refute_0_2256]) ).

cnf(refute_0_2258,plain,
    multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))) = multiplication(codomain(X_280),antidomain(codomain(X_280))),
    inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X_280),domain(codomain(X_280))),antidomain(codomain(X_280))),multiplication(codomain(X_280),antidomain(codomain(X_280)))) )],[refute_0_2237,refute_0_2257]) ).

cnf(refute_0_2259,plain,
    multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))) = zero,
    inference(subst,[],[refute_0_306:[bind(X_8,$fot(codomain(X_280)))]]) ).

cnf(refute_0_2260,plain,
    ( multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))) != multiplication(codomain(X_280),antidomain(codomain(X_280)))
    | multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))) != zero
    | zero = multiplication(codomain(X_280),antidomain(codomain(X_280))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))),multiplication(codomain(X_280),antidomain(codomain(X_280)))) ),[0],$fot(zero)]]) ).

cnf(refute_0_2261,plain,
    ( multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))) != multiplication(codomain(X_280),antidomain(codomain(X_280)))
    | zero = multiplication(codomain(X_280),antidomain(codomain(X_280))) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))),zero) )],[refute_0_2259,refute_0_2260]) ).

cnf(refute_0_2262,plain,
    zero = multiplication(codomain(X_280),antidomain(codomain(X_280))),
    inference(resolve,[$cnf( $equal(multiplication(domain(codomain(X_280)),antidomain(codomain(X_280))),multiplication(codomain(X_280),antidomain(codomain(X_280)))) )],[refute_0_2258,refute_0_2261]) ).

cnf(refute_0_2263,plain,
    zero = multiplication(codomain(X_282),antidomain(codomain(X_282))),
    inference(subst,[],[refute_0_2262:[bind(X_280,$fot(X_282))]]) ).

cnf(refute_0_2264,plain,
    ( zero != multiplication(codomain(X_282),antidomain(codomain(X_282)))
    | multiplication(codomain(X_282),antidomain(codomain(X_282))) = zero ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(codomain(X_282),antidomain(codomain(X_282)))))]]) ).

cnf(refute_0_2265,plain,
    multiplication(codomain(X_282),antidomain(codomain(X_282))) = zero,
    inference(resolve,[$cnf( $equal(zero,multiplication(codomain(X_282),antidomain(codomain(X_282)))) )],[refute_0_2263,refute_0_2264]) ).

cnf(refute_0_2266,plain,
    ( multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) != addition(multiplication(codomain(X_282),antidomain(codomain(X_282))),multiplication(codomain(X_282),C))
    | multiplication(codomain(X_282),antidomain(codomain(X_282))) != zero
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = addition(zero,multiplication(codomain(X_282),C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),addition(multiplication(codomain(X_282),antidomain(codomain(X_282))),multiplication(codomain(X_282),C))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2267,plain,
    ( multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) != addition(multiplication(codomain(X_282),antidomain(codomain(X_282))),multiplication(codomain(X_282),C))
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = addition(zero,multiplication(codomain(X_282),C)) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X_282),antidomain(codomain(X_282))),zero) )],[refute_0_2265,refute_0_2266]) ).

cnf(refute_0_2268,plain,
    multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = addition(zero,multiplication(codomain(X_282),C)),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),addition(multiplication(codomain(X_282),antidomain(codomain(X_282))),multiplication(codomain(X_282),C))) )],[refute_0_2236,refute_0_2267]) ).

cnf(refute_0_2269,plain,
    addition(zero,multiplication(codomain(X_282),C)) = multiplication(codomain(X_282),C),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(codomain(X_282),C)))]]) ).

cnf(refute_0_2270,plain,
    ( addition(zero,multiplication(codomain(X_282),C)) != multiplication(codomain(X_282),C)
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) != addition(zero,multiplication(codomain(X_282),C))
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = multiplication(codomain(X_282),C) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),addition(zero,multiplication(codomain(X_282),C))) ),[1],$fot(multiplication(codomain(X_282),C))]]) ).

cnf(refute_0_2271,plain,
    ( multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) != addition(zero,multiplication(codomain(X_282),C))
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = multiplication(codomain(X_282),C) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(codomain(X_282),C)),multiplication(codomain(X_282),C)) )],[refute_0_2269,refute_0_2270]) ).

cnf(refute_0_2272,plain,
    multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = multiplication(codomain(X_282),C),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),addition(zero,multiplication(codomain(X_282),C))) )],[refute_0_2268,refute_0_2271]) ).

cnf(refute_0_2273,plain,
    antidomain(codomain(X_282)) = coantidomain(X_282),
    inference(subst,[],[refute_0_691:[bind(X0,$fot(X_282))]]) ).

cnf(refute_0_2274,plain,
    addition(antidomain(codomain(X_282)),C) = addition(antidomain(codomain(X_282)),C),
    introduced(tautology,[refl,[$fot(addition(antidomain(codomain(X_282)),C))]]) ).

cnf(refute_0_2275,plain,
    ( addition(antidomain(codomain(X_282)),C) != addition(antidomain(codomain(X_282)),C)
    | antidomain(codomain(X_282)) != coantidomain(X_282)
    | addition(antidomain(codomain(X_282)),C) = addition(coantidomain(X_282),C) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(codomain(X_282)),C),addition(antidomain(codomain(X_282)),C)) ),[1,0],$fot(coantidomain(X_282))]]) ).

cnf(refute_0_2276,plain,
    ( antidomain(codomain(X_282)) != coantidomain(X_282)
    | addition(antidomain(codomain(X_282)),C) = addition(coantidomain(X_282),C) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(codomain(X_282)),C),addition(antidomain(codomain(X_282)),C)) )],[refute_0_2274,refute_0_2275]) ).

cnf(refute_0_2277,plain,
    addition(antidomain(codomain(X_282)),C) = addition(coantidomain(X_282),C),
    inference(resolve,[$cnf( $equal(antidomain(codomain(X_282)),coantidomain(X_282)) )],[refute_0_2273,refute_0_2276]) ).

cnf(refute_0_2278,plain,
    multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),
    introduced(tautology,[refl,[$fot(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)))]]) ).

cnf(refute_0_2279,plain,
    ( addition(antidomain(codomain(X_282)),C) != addition(coantidomain(X_282),C)
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) != multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C))
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = multiplication(codomain(X_282),addition(coantidomain(X_282),C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C))) ),[1,1],$fot(addition(coantidomain(X_282),C))]]) ).

cnf(refute_0_2280,plain,
    ( addition(antidomain(codomain(X_282)),C) != addition(coantidomain(X_282),C)
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = multiplication(codomain(X_282),addition(coantidomain(X_282),C)) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C))) )],[refute_0_2278,refute_0_2279]) ).

cnf(refute_0_2281,plain,
    multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) = multiplication(codomain(X_282),addition(coantidomain(X_282),C)),
    inference(resolve,[$cnf( $equal(addition(antidomain(codomain(X_282)),C),addition(coantidomain(X_282),C)) )],[refute_0_2277,refute_0_2280]) ).

cnf(refute_0_2282,plain,
    ( multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) != multiplication(codomain(X_282),C)
    | multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) != multiplication(codomain(X_282),addition(coantidomain(X_282),C))
    | multiplication(codomain(X_282),addition(coantidomain(X_282),C)) = multiplication(codomain(X_282),C) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),multiplication(codomain(X_282),C)) ),[0],$fot(multiplication(codomain(X_282),addition(coantidomain(X_282),C)))]]) ).

cnf(refute_0_2283,plain,
    ( multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)) != multiplication(codomain(X_282),C)
    | multiplication(codomain(X_282),addition(coantidomain(X_282),C)) = multiplication(codomain(X_282),C) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),multiplication(codomain(X_282),addition(coantidomain(X_282),C))) )],[refute_0_2281,refute_0_2282]) ).

cnf(refute_0_2284,plain,
    multiplication(codomain(X_282),addition(coantidomain(X_282),C)) = multiplication(codomain(X_282),C),
    inference(resolve,[$cnf( $equal(multiplication(codomain(X_282),addition(antidomain(codomain(X_282)),C)),multiplication(codomain(X_282),C)) )],[refute_0_2272,refute_0_2283]) ).

cnf(refute_0_2285,plain,
    multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) = multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),
    inference(subst,[],[refute_0_2284:[bind(C,$fot(domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))),bind(X_282,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_2286,plain,
    multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one) = addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))]]) ).

cnf(refute_0_2287,plain,
    multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) = multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)),
    introduced(tautology,[refl,[$fot(multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)))]]) ).

cnf(refute_0_2288,plain,
    ( coantidomain(zero) != one
    | multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) != multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))
    | multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) = multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2289,plain,
    ( coantidomain(zero) != one
    | multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) = multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) )],[refute_0_2287,refute_0_2288]) ).

cnf(refute_0_2290,plain,
    multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) = multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one),
    inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_738,refute_0_2289]) ).

cnf(refute_0_2291,plain,
    ( multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) != multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one)
    | multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one) != addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) = addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)))),bind(Y,$fot(multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one))),bind(Z,$fot(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))]]) ).

cnf(refute_0_2292,plain,
    ( multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one) != addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) = addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one)) )],[refute_0_2290,refute_0_2291]) ).

cnf(refute_0_2293,plain,
    multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) = addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),one),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) )],[refute_0_2286,refute_0_2292]) ).

cnf(refute_0_2294,plain,
    multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))),
    introduced(tautology,[refl,[$fot(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))))]]) ).

cnf(refute_0_2295,plain,
    ( multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) != addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) != multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)))
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))),multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)))) ),[1,1],$fot(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))]]) ).

cnf(refute_0_2296,plain,
    ( multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)) != addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))),multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)))) )],[refute_0_2294,refute_0_2295]) ).

cnf(refute_0_2297,plain,
    multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))),
    inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero)),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) )],[refute_0_2293,refute_0_2296]) ).

cnf(refute_0_2298,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) != multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) != multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))))),bind(Y,$fot(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),bind(Z,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))]]) ).

cnf(refute_0_2299,plain,
    ( multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) != multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))),multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))) )],[refute_0_2297,refute_0_2298]) ).

cnf(refute_0_2300,plain,
    multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) = multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) )],[refute_0_2285,refute_0_2299]) ).

cnf(refute_0_2301,plain,
    ( multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) != multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))
    | multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) != zero
    | multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))),zero) ),[0],$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))]]) ).

cnf(refute_0_2302,plain,
    ( multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))) != zero
    | multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))) )],[refute_0_2300,refute_0_2301]) ).

cnf(refute_0_2303,plain,
    multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),multiplication(addition(coantidomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),coantidomain(zero))),zero) )],[refute_0_2235,refute_0_2302]) ).

cnf(refute_0_2304,plain,
    ( leq(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != true
    | multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))) != zero
    | leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(leq(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true) ),[0,0,0],$fot(zero)]]) ).

cnf(refute_0_2305,plain,
    ( leq(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != true
    | leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = true ),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))),zero) )],[refute_0_2303,refute_0_2304]) ).

cnf(refute_0_2306,plain,
    leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = true,
    inference(resolve,[$cnf( $equal(leq(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true) )],[refute_0_1535,refute_0_2305]) ).

cnf(refute_0_2307,plain,
    leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    introduced(tautology,[refl,[$fot(leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2308,plain,
    ( antidomain(zero) != one
    | leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2309,plain,
    ( antidomain(zero) != one
    | leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),
    inference(resolve,[$cnf( $equal(leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2307,refute_0_2308]) ).

cnf(refute_0_2310,plain,
    leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_130,refute_0_2309]) ).

cnf(refute_0_2311,plain,
    ( leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != true
    | leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true) ),[0],$fot(leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2312,plain,
    ( leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != true
    | leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = true ),
    inference(resolve,[$cnf( $equal(leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2310,refute_0_2311]) ).

cnf(refute_0_2313,plain,
    leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = true,
    inference(resolve,[$cnf( $equal(leq(antidomain(zero),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true) )],[refute_0_2306,refute_0_2312]) ).

cnf(refute_0_2314,plain,
    ( ifeq(leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))
    | leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != true
    | ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),[0,0],$fot(true)]]) ).

cnf(refute_0_2315,plain,
    ( ifeq(leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))
    | ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) ),
    inference(resolve,[$cnf( $equal(leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true) )],[refute_0_2313,refute_0_2314]) ).

cnf(refute_0_2316,plain,
    ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),
    inference(resolve,[$cnf( $equal(ifeq(leq(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) )],[refute_0_1470,refute_0_2315]) ).

cnf(refute_0_2317,plain,
    addition(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = one,
    inference(subst,[],[refute_0_894:[bind(X_185,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2318,plain,
    ( addition(A,antidomain(X_841)) != addition(antidomain(X_841),A)
    | addition(antidomain(X_841),A) = addition(A,antidomain(X_841)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,antidomain(X_841)))),bind(Y,$fot(addition(antidomain(X_841),A)))]]) ).

cnf(refute_0_2319,plain,
    addition(antidomain(X_841),A) = addition(A,antidomain(X_841)),
    inference(resolve,[$cnf( $equal(addition(A,antidomain(X_841)),addition(antidomain(X_841),A)) )],[refute_0_1190,refute_0_2318]) ).

cnf(refute_0_2320,plain,
    addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) = addition(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    inference(subst,[],[refute_0_2319:[bind(A,$fot(one)),bind(X_841,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2321,plain,
    ( addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) != addition(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | addition(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != one
    | addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one))),bind(Y,$fot(addition(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2322,plain,
    ( addition(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != one
    | addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) = one ),
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),addition(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2320,refute_0_2321]) ).

cnf(refute_0_2323,plain,
    addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) = one,
    inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),one) )],[refute_0_2317,refute_0_2322]) ).

cnf(refute_0_2324,plain,
    ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one))),bind(C,$fot(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2325,plain,
    ( addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) != one
    | ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one)
    | ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))),bind(Y,$fot(addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2326,plain,
    ( addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) != one
    | ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = one ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one)) )],[refute_0_2324,refute_0_2325]) ).

cnf(refute_0_2327,plain,
    ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = one,
    inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),one) )],[refute_0_2323,refute_0_2326]) ).

cnf(refute_0_2328,plain,
    ( ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))
    | ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != one
    | one = antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),[0],$fot(one)]]) ).

cnf(refute_0_2329,plain,
    ( ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))
    | one = antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),one) )],[refute_0_2327,refute_0_2328]) ).

cnf(refute_0_2330,plain,
    one = antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),
    inference(resolve,[$cnf( $equal(ifeq(true,true,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) )],[refute_0_2316,refute_0_2329]) ).

cnf(refute_0_2331,plain,
    ( one != antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))
    | antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2332,plain,
    antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = one,
    inference(resolve,[$cnf( $equal(one,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) )],[refute_0_2330,refute_0_2331]) ).

cnf(refute_0_2333,plain,
    ( antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) != addition(X_243,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)),addition(X_243,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))) ),[1,1,0],$fot(one)]]) ).

cnf(refute_0_2334,plain,
    ( multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) != addition(X_243,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) )],[refute_0_2332,refute_0_2333]) ).

cnf(refute_0_2335,plain,
    multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)),addition(X_243,addition(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))) )],[refute_0_1469,refute_0_2334]) ).

cnf(refute_0_2336,plain,
    multiplication(X_243,one) = X_243,
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_243))]]) ).

cnf(refute_0_2337,plain,
    addition(one,multiplication(X_243,one)) = addition(one,multiplication(X_243,one)),
    introduced(tautology,[refl,[$fot(addition(one,multiplication(X_243,one)))]]) ).

cnf(refute_0_2338,plain,
    ( addition(one,multiplication(X_243,one)) != addition(one,multiplication(X_243,one))
    | multiplication(X_243,one) != X_243
    | addition(one,multiplication(X_243,one)) = addition(one,X_243) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(X_243,one)),addition(one,multiplication(X_243,one))) ),[1,1],$fot(X_243)]]) ).

cnf(refute_0_2339,plain,
    ( multiplication(X_243,one) != X_243
    | addition(one,multiplication(X_243,one)) = addition(one,X_243) ),
    inference(resolve,[$cnf( $equal(addition(one,multiplication(X_243,one)),addition(one,multiplication(X_243,one))) )],[refute_0_2337,refute_0_2338]) ).

cnf(refute_0_2340,plain,
    addition(one,multiplication(X_243,one)) = addition(one,X_243),
    inference(resolve,[$cnf( $equal(multiplication(X_243,one),X_243) )],[refute_0_2336,refute_0_2339]) ).

cnf(refute_0_2341,plain,
    multiplication(addition(X_243,one),one) = addition(one,multiplication(X_243,one)),
    inference(subst,[],[refute_0_14:[bind(X_84,$fot(X_243)),bind(X_85,$fot(one))]]) ).

cnf(refute_0_2342,plain,
    ( addition(one,multiplication(X_243,one)) != addition(one,X_243)
    | multiplication(addition(X_243,one),one) != addition(one,multiplication(X_243,one))
    | multiplication(addition(X_243,one),one) = addition(one,X_243) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(X_243,one),one))),bind(Y,$fot(addition(one,multiplication(X_243,one)))),bind(Z,$fot(addition(one,X_243)))]]) ).

cnf(refute_0_2343,plain,
    ( addition(one,multiplication(X_243,one)) != addition(one,X_243)
    | multiplication(addition(X_243,one),one) = addition(one,X_243) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,one),one),addition(one,multiplication(X_243,one))) )],[refute_0_2341,refute_0_2342]) ).

cnf(refute_0_2344,plain,
    multiplication(addition(X_243,one),one) = addition(one,X_243),
    inference(resolve,[$cnf( $equal(addition(one,multiplication(X_243,one)),addition(one,X_243)) )],[refute_0_2340,refute_0_2343]) ).

cnf(refute_0_2345,plain,
    addition(antidomain(X_353),addition(domain(X_353),multiplication(domain(X_173),domain(X_353)))) = addition(one,multiplication(domain(X_173),domain(X_353))),
    inference(subst,[],[refute_0_1032:[bind(X0,$fot(X_353)),bind(X_161,$fot(multiplication(domain(X_173),domain(X_353))))]]) ).

cnf(refute_0_2346,plain,
    multiplication(addition(one,domain(X_173)),X_74) = addition(X_74,multiplication(domain(X_173),X_74)),
    inference(subst,[],[refute_0_4:[bind(X_73,$fot(domain(X_173)))]]) ).

cnf(refute_0_2347,plain,
    one = addition(one,domain(X_173)),
    inference(subst,[],[refute_0_405:[bind(X_8,$fot(X_173))]]) ).

cnf(refute_0_2348,plain,
    ( one != addition(one,domain(X_173))
    | addition(one,domain(X_173)) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_173))))]]) ).

cnf(refute_0_2349,plain,
    addition(one,domain(X_173)) = one,
    inference(resolve,[$cnf( $equal(one,addition(one,domain(X_173))) )],[refute_0_2347,refute_0_2348]) ).

cnf(refute_0_2350,plain,
    ( addition(one,domain(X_173)) != one
    | multiplication(addition(one,domain(X_173)),X_74) != addition(X_74,multiplication(domain(X_173),X_74))
    | multiplication(one,X_74) = addition(X_74,multiplication(domain(X_173),X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_173)),X_74),addition(X_74,multiplication(domain(X_173),X_74))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_2351,plain,
    ( multiplication(addition(one,domain(X_173)),X_74) != addition(X_74,multiplication(domain(X_173),X_74))
    | multiplication(one,X_74) = addition(X_74,multiplication(domain(X_173),X_74)) ),
    inference(resolve,[$cnf( $equal(addition(one,domain(X_173)),one) )],[refute_0_2349,refute_0_2350]) ).

cnf(refute_0_2352,plain,
    multiplication(one,X_74) = addition(X_74,multiplication(domain(X_173),X_74)),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_173)),X_74),addition(X_74,multiplication(domain(X_173),X_74))) )],[refute_0_2346,refute_0_2351]) ).

cnf(refute_0_2353,plain,
    ( multiplication(one,X_74) != X_74
    | multiplication(one,X_74) != addition(X_74,multiplication(domain(X_173),X_74))
    | X_74 = addition(X_74,multiplication(domain(X_173),X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_74),addition(X_74,multiplication(domain(X_173),X_74))) ),[0],$fot(X_74)]]) ).

cnf(refute_0_2354,plain,
    ( multiplication(one,X_74) != addition(X_74,multiplication(domain(X_173),X_74))
    | X_74 = addition(X_74,multiplication(domain(X_173),X_74)) ),
    inference(resolve,[$cnf( $equal(multiplication(one,X_74),X_74) )],[refute_0_1,refute_0_2353]) ).

cnf(refute_0_2355,plain,
    X_74 = addition(X_74,multiplication(domain(X_173),X_74)),
    inference(resolve,[$cnf( $equal(multiplication(one,X_74),addition(X_74,multiplication(domain(X_173),X_74))) )],[refute_0_2352,refute_0_2354]) ).

cnf(refute_0_2356,plain,
    domain(X_353) = addition(domain(X_353),multiplication(domain(X_173),domain(X_353))),
    inference(subst,[],[refute_0_2355:[bind(X_74,$fot(domain(X_353)))]]) ).

cnf(refute_0_2357,plain,
    ( domain(X_353) != addition(domain(X_353),multiplication(domain(X_173),domain(X_353)))
    | addition(domain(X_353),multiplication(domain(X_173),domain(X_353))) = domain(X_353) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(domain(X_353))),bind(Y,$fot(addition(domain(X_353),multiplication(domain(X_173),domain(X_353)))))]]) ).

cnf(refute_0_2358,plain,
    addition(domain(X_353),multiplication(domain(X_173),domain(X_353))) = domain(X_353),
    inference(resolve,[$cnf( $equal(domain(X_353),addition(domain(X_353),multiplication(domain(X_173),domain(X_353)))) )],[refute_0_2356,refute_0_2357]) ).

cnf(refute_0_2359,plain,
    ( addition(antidomain(X_353),addition(domain(X_353),multiplication(domain(X_173),domain(X_353)))) != addition(one,multiplication(domain(X_173),domain(X_353)))
    | addition(domain(X_353),multiplication(domain(X_173),domain(X_353))) != domain(X_353)
    | addition(antidomain(X_353),domain(X_353)) = addition(one,multiplication(domain(X_173),domain(X_353))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_353),addition(domain(X_353),multiplication(domain(X_173),domain(X_353)))),addition(one,multiplication(domain(X_173),domain(X_353)))) ),[0,1],$fot(domain(X_353))]]) ).

cnf(refute_0_2360,plain,
    ( addition(antidomain(X_353),addition(domain(X_353),multiplication(domain(X_173),domain(X_353)))) != addition(one,multiplication(domain(X_173),domain(X_353)))
    | addition(antidomain(X_353),domain(X_353)) = addition(one,multiplication(domain(X_173),domain(X_353))) ),
    inference(resolve,[$cnf( $equal(addition(domain(X_353),multiplication(domain(X_173),domain(X_353))),domain(X_353)) )],[refute_0_2358,refute_0_2359]) ).

cnf(refute_0_2361,plain,
    addition(antidomain(X_353),domain(X_353)) = addition(one,multiplication(domain(X_173),domain(X_353))),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_353),addition(domain(X_353),multiplication(domain(X_173),domain(X_353)))),addition(one,multiplication(domain(X_173),domain(X_353)))) )],[refute_0_2345,refute_0_2360]) ).

cnf(refute_0_2362,plain,
    addition(antidomain(X_353),domain(X_353)) = one,
    inference(subst,[],[refute_0_101:[bind(X0,$fot(X_353))]]) ).

cnf(refute_0_2363,plain,
    ( addition(antidomain(X_353),domain(X_353)) != addition(one,multiplication(domain(X_173),domain(X_353)))
    | addition(antidomain(X_353),domain(X_353)) != one
    | one = addition(one,multiplication(domain(X_173),domain(X_353))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_353),domain(X_353)),addition(one,multiplication(domain(X_173),domain(X_353)))) ),[0],$fot(one)]]) ).

cnf(refute_0_2364,plain,
    ( addition(antidomain(X_353),domain(X_353)) != addition(one,multiplication(domain(X_173),domain(X_353)))
    | one = addition(one,multiplication(domain(X_173),domain(X_353))) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_353),domain(X_353)),one) )],[refute_0_2362,refute_0_2363]) ).

cnf(refute_0_2365,plain,
    one = addition(one,multiplication(domain(X_173),domain(X_353))),
    inference(resolve,[$cnf( $equal(addition(antidomain(X_353),domain(X_353)),addition(one,multiplication(domain(X_173),domain(X_353)))) )],[refute_0_2361,refute_0_2364]) ).

cnf(refute_0_2366,plain,
    one = addition(one,multiplication(domain(codomain(X_297)),domain(X_681))),
    inference(subst,[],[refute_0_2365:[bind(X_173,$fot(codomain(X_297))),bind(X_353,$fot(X_681))]]) ).

cnf(refute_0_2367,plain,
    ( domain(codomain(X_297)) != codomain(X_297)
    | one != addition(one,multiplication(domain(codomain(X_297)),domain(X_681)))
    | one = addition(one,multiplication(codomain(X_297),domain(X_681))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,addition(one,multiplication(domain(codomain(X_297)),domain(X_681)))) ),[1,1,0],$fot(codomain(X_297))]]) ).

cnf(refute_0_2368,plain,
    ( one != addition(one,multiplication(domain(codomain(X_297)),domain(X_681)))
    | one = addition(one,multiplication(codomain(X_297),domain(X_681))) ),
    inference(resolve,[$cnf( $equal(domain(codomain(X_297)),codomain(X_297)) )],[refute_0_1116,refute_0_2367]) ).

cnf(refute_0_2369,plain,
    one = addition(one,multiplication(codomain(X_297),domain(X_681))),
    inference(resolve,[$cnf( $equal(one,addition(one,multiplication(domain(codomain(X_297)),domain(X_681)))) )],[refute_0_2366,refute_0_2368]) ).

cnf(refute_0_2370,plain,
    ( one != addition(one,multiplication(codomain(X_297),domain(X_681)))
    | addition(one,multiplication(codomain(X_297),domain(X_681))) = one ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(one)),bind(Y,$fot(addition(one,multiplication(codomain(X_297),domain(X_681)))))]]) ).

cnf(refute_0_2371,plain,
    addition(one,multiplication(codomain(X_297),domain(X_681))) = one,
    inference(resolve,[$cnf( $equal(one,addition(one,multiplication(codomain(X_297),domain(X_681)))) )],[refute_0_2369,refute_0_2370]) ).

cnf(refute_0_2372,plain,
    addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = one,
    inference(subst,[],[refute_0_2371:[bind(X_297,$fot(sK2_goals_X0)),bind(X_681,$fot(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))]]) ).

cnf(refute_0_2373,plain,
    multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    introduced(tautology,[refl,[$fot(multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2374,plain,
    ( addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),one) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2375,plain,
    ( addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),one) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2373,refute_0_2374]) ).

cnf(refute_0_2376,plain,
    multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),one),
    inference(resolve,[$cnf( $equal(addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) )],[refute_0_2372,refute_0_2375]) ).

cnf(refute_0_2377,plain,
    addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    introduced(tautology,[refl,[$fot(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2378,plain,
    ( addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(X_243,one) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2379,plain,
    ( antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(X_243,one) ),
    inference(resolve,[$cnf( $equal(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2377,refute_0_2378]) ).

cnf(refute_0_2380,plain,
    addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(X_243,one),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) )],[refute_0_2332,refute_0_2379]) ).

cnf(refute_0_2381,plain,
    multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    introduced(tautology,[refl,[$fot(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2382,plain,
    ( addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != addition(X_243,one)
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),[1,0],$fot(addition(X_243,one))]]) ).

cnf(refute_0_2383,plain,
    ( addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != addition(X_243,one)
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2381,refute_0_2382]) ).

cnf(refute_0_2384,plain,
    multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    inference(resolve,[$cnf( $equal(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(X_243,one)) )],[refute_0_2380,refute_0_2383]) ).

cnf(refute_0_2385,plain,
    ( multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(addition(X_243,one),one)
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),one) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))),bind(Y,$fot(multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))),bind(Z,$fot(multiplication(addition(X_243,one),one)))]]) ).

cnf(refute_0_2386,plain,
    ( multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(addition(X_243,one),one)
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),one) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2384,refute_0_2385]) ).

cnf(refute_0_2387,plain,
    multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(addition(X_243,one),one),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,one),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(addition(X_243,one),one)) )],[refute_0_2376,refute_0_2386]) ).

cnf(refute_0_2388,plain,
    ( multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(addition(X_243,one),one)
    | multiplication(addition(X_243,one),one) != addition(one,X_243)
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(one,X_243) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))),bind(Y,$fot(multiplication(addition(X_243,one),one))),bind(Z,$fot(addition(one,X_243)))]]) ).

cnf(refute_0_2389,plain,
    ( multiplication(addition(X_243,one),one) != addition(one,X_243)
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(one,X_243) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(addition(X_243,one),one)) )],[refute_0_2387,refute_0_2388]) ).

cnf(refute_0_2390,plain,
    multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(one,X_243),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,one),one),addition(one,X_243)) )],[refute_0_2344,refute_0_2389]) ).

cnf(refute_0_2391,plain,
    multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    inference(subst,[],[refute_0_1461:[bind(X_1321,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),bind(X_530,$fot(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))))]]) ).

cnf(refute_0_2392,plain,
    ( multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) != multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != addition(one,X_243)
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = addition(one,X_243) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),bind(Y,$fot(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))),bind(Z,$fot(addition(one,X_243)))]]) ).

cnf(refute_0_2393,plain,
    ( multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != addition(one,X_243)
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = addition(one,X_243) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)),multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2391,refute_0_2392]) ).

cnf(refute_0_2394,plain,
    multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = addition(one,X_243),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,X_243)) )],[refute_0_2390,refute_0_2393]) ).

cnf(refute_0_2395,plain,
    ( multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) != addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))
    | multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) != addition(one,X_243)
    | addition(one,X_243) = addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)),addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))) ),[0],$fot(addition(one,X_243))]]) ).

cnf(refute_0_2396,plain,
    ( multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) != addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))
    | addition(one,X_243) = addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)),addition(one,X_243)) )],[refute_0_2394,refute_0_2395]) ).

cnf(refute_0_2397,plain,
    addition(one,X_243) = addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_243,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)),addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))) )],[refute_0_2335,refute_0_2396]) ).

cnf(refute_0_2398,plain,
    addition(one,zero) = one,
    inference(subst,[],[additive_identity:[bind(A,$fot(one))]]) ).

cnf(refute_0_2399,plain,
    multiplication(X_243,zero) = zero,
    inference(subst,[],[right_annihilation:[bind(A,$fot(X_243))]]) ).

cnf(refute_0_2400,plain,
    multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,addition(X_601,coantidomain(X_75)))) = zero,
    inference(subst,[],[refute_0_43:[bind(X_58,$fot(addition(X_601,coantidomain(X_75))))]]) ).

cnf(refute_0_2401,plain,
    multiplication(X_75,addition(X_601,coantidomain(X_75))) = multiplication(X_75,X_601),
    inference(subst,[],[refute_0_1019:[bind(X_215,$fot(X_75)),bind(X_216,$fot(X_601))]]) ).

cnf(refute_0_2402,plain,
    ( multiplication(X_75,addition(X_601,coantidomain(X_75))) != multiplication(X_75,X_601)
    | multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,addition(X_601,coantidomain(X_75)))) != zero
    | multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,addition(X_601,coantidomain(X_75)))),zero) ),[0,1],$fot(multiplication(X_75,X_601))]]) ).

cnf(refute_0_2403,plain,
    ( multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,addition(X_601,coantidomain(X_75)))) != zero
    | multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(X_75,addition(X_601,coantidomain(X_75))),multiplication(X_75,X_601)) )],[refute_0_2401,refute_0_2402]) ).

cnf(refute_0_2404,plain,
    multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,addition(X_601,coantidomain(X_75)))),zero) )],[refute_0_2400,refute_0_2403]) ).

cnf(refute_0_2405,plain,
    addition(antidomain(addition(X_601,coantidomain(X_75))),X_75) = addition(X_75,antidomain(addition(X_601,coantidomain(X_75)))),
    inference(subst,[],[refute_0_965:[bind(X_531,$fot(X_75)),bind(X_532,$fot(antidomain(addition(X_601,coantidomain(X_75)))))]]) ).

cnf(refute_0_2406,plain,
    antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)) = antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),
    introduced(tautology,[refl,[$fot(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)))]]) ).

cnf(refute_0_2407,plain,
    ( addition(antidomain(addition(X_601,coantidomain(X_75))),X_75) != addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))
    | antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)) != antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75))
    | antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)) = antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75))) ),[1,0],$fot(addition(X_75,antidomain(addition(X_601,coantidomain(X_75)))))]]) ).

cnf(refute_0_2408,plain,
    ( addition(antidomain(addition(X_601,coantidomain(X_75))),X_75) != addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))
    | antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)) = antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))) ),
    inference(resolve,[$cnf( $equal(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75))) )],[refute_0_2406,refute_0_2407]) ).

cnf(refute_0_2409,plain,
    antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)) = antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),
    inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75),addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))) )],[refute_0_2405,refute_0_2408]) ).

cnf(refute_0_2410,plain,
    multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) = multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)))]]) ).

cnf(refute_0_2411,plain,
    ( antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)) != antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75)))))
    | multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) != multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601))
    | multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) = multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)),multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601))) ),[1,0],$fot(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))))]]) ).

cnf(refute_0_2412,plain,
    ( antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)) != antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75)))))
    | multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) = multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)),multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601))) )],[refute_0_2410,refute_0_2411]) ).

cnf(refute_0_2413,plain,
    multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) = multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601)),
    inference(resolve,[$cnf( $equal(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75)))))) )],[refute_0_2409,refute_0_2412]) ).

cnf(refute_0_2414,plain,
    ( multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) != multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601))
    | multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) != zero
    | multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)),zero) ),[0],$fot(multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601)))]]) ).

cnf(refute_0_2415,plain,
    ( multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)) != zero
    | multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601)) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)),multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601))) )],[refute_0_2413,refute_0_2414]) ).

cnf(refute_0_2416,plain,
    multiplication(antidomain(addition(X_75,antidomain(addition(X_601,coantidomain(X_75))))),multiplication(X_75,X_601)) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(antidomain(addition(X_601,coantidomain(X_75))),X_75)),multiplication(X_75,X_601)),zero) )],[refute_0_2404,refute_0_2415]) ).

cnf(refute_0_2417,plain,
    multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),multiplication(domain(X_1254),X_1254)) = zero,
    inference(subst,[],[refute_0_2416:[bind(X_601,$fot(X_1254)),bind(X_75,$fot(domain(X_1254)))]]) ).

cnf(refute_0_2418,plain,
    X_1254 = multiplication(domain(X_1254),X_1254),
    inference(subst,[],[refute_0_149:[bind(X_76,$fot(X_1254))]]) ).

cnf(refute_0_2419,plain,
    ( X_1254 != multiplication(domain(X_1254),X_1254)
    | multiplication(domain(X_1254),X_1254) = X_1254 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_1254)),bind(Y,$fot(multiplication(domain(X_1254),X_1254)))]]) ).

cnf(refute_0_2420,plain,
    multiplication(domain(X_1254),X_1254) = X_1254,
    inference(resolve,[$cnf( $equal(X_1254,multiplication(domain(X_1254),X_1254)) )],[refute_0_2418,refute_0_2419]) ).

cnf(refute_0_2421,plain,
    ( multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),multiplication(domain(X_1254),X_1254)) != zero
    | multiplication(domain(X_1254),X_1254) != X_1254
    | multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),multiplication(domain(X_1254),X_1254)),zero) ),[0,1],$fot(X_1254)]]) ).

cnf(refute_0_2422,plain,
    ( multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),multiplication(domain(X_1254),X_1254)) != zero
    | multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_1254),X_1254),X_1254) )],[refute_0_2420,refute_0_2421]) ).

cnf(refute_0_2423,plain,
    multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),multiplication(domain(X_1254),X_1254)),zero) )],[refute_0_2417,refute_0_2422]) ).

cnf(refute_0_2424,plain,
    coantidomain(domain(X_1254)) = antidomain(X_1254),
    inference(subst,[],[refute_0_1167:[bind(X_878,$fot(X_1254))]]) ).

cnf(refute_0_2425,plain,
    addition(X_1254,coantidomain(domain(X_1254))) = addition(X_1254,coantidomain(domain(X_1254))),
    introduced(tautology,[refl,[$fot(addition(X_1254,coantidomain(domain(X_1254))))]]) ).

cnf(refute_0_2426,plain,
    ( addition(X_1254,coantidomain(domain(X_1254))) != addition(X_1254,coantidomain(domain(X_1254)))
    | coantidomain(domain(X_1254)) != antidomain(X_1254)
    | addition(X_1254,coantidomain(domain(X_1254))) = addition(X_1254,antidomain(X_1254)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_1254,coantidomain(domain(X_1254))),addition(X_1254,coantidomain(domain(X_1254)))) ),[1,1],$fot(antidomain(X_1254))]]) ).

cnf(refute_0_2427,plain,
    ( coantidomain(domain(X_1254)) != antidomain(X_1254)
    | addition(X_1254,coantidomain(domain(X_1254))) = addition(X_1254,antidomain(X_1254)) ),
    inference(resolve,[$cnf( $equal(addition(X_1254,coantidomain(domain(X_1254))),addition(X_1254,coantidomain(domain(X_1254)))) )],[refute_0_2425,refute_0_2426]) ).

cnf(refute_0_2428,plain,
    addition(X_1254,coantidomain(domain(X_1254))) = addition(X_1254,antidomain(X_1254)),
    inference(resolve,[$cnf( $equal(coantidomain(domain(X_1254)),antidomain(X_1254)) )],[refute_0_2424,refute_0_2427]) ).

cnf(refute_0_2429,plain,
    antidomain(addition(X_1254,coantidomain(domain(X_1254)))) = antidomain(addition(X_1254,coantidomain(domain(X_1254)))),
    introduced(tautology,[refl,[$fot(antidomain(addition(X_1254,coantidomain(domain(X_1254)))))]]) ).

cnf(refute_0_2430,plain,
    ( addition(X_1254,coantidomain(domain(X_1254))) != addition(X_1254,antidomain(X_1254))
    | antidomain(addition(X_1254,coantidomain(domain(X_1254)))) != antidomain(addition(X_1254,coantidomain(domain(X_1254))))
    | antidomain(addition(X_1254,coantidomain(domain(X_1254)))) = antidomain(addition(X_1254,antidomain(X_1254))) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(X_1254,coantidomain(domain(X_1254)))),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) ),[1,0],$fot(addition(X_1254,antidomain(X_1254)))]]) ).

cnf(refute_0_2431,plain,
    ( addition(X_1254,coantidomain(domain(X_1254))) != addition(X_1254,antidomain(X_1254))
    | antidomain(addition(X_1254,coantidomain(domain(X_1254)))) = antidomain(addition(X_1254,antidomain(X_1254))) ),
    inference(resolve,[$cnf( $equal(antidomain(addition(X_1254,coantidomain(domain(X_1254)))),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) )],[refute_0_2429,refute_0_2430]) ).

cnf(refute_0_2432,plain,
    antidomain(addition(X_1254,coantidomain(domain(X_1254)))) = antidomain(addition(X_1254,antidomain(X_1254))),
    inference(resolve,[$cnf( $equal(addition(X_1254,coantidomain(domain(X_1254))),addition(X_1254,antidomain(X_1254))) )],[refute_0_2428,refute_0_2431]) ).

cnf(refute_0_2433,plain,
    addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) = addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))),
    introduced(tautology,[refl,[$fot(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))))]]) ).

cnf(refute_0_2434,plain,
    ( addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) != addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))
    | antidomain(addition(X_1254,coantidomain(domain(X_1254)))) != antidomain(addition(X_1254,antidomain(X_1254)))
    | addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) = addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))),addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) ),[1,1],$fot(antidomain(addition(X_1254,antidomain(X_1254))))]]) ).

cnf(refute_0_2435,plain,
    ( antidomain(addition(X_1254,coantidomain(domain(X_1254)))) != antidomain(addition(X_1254,antidomain(X_1254)))
    | addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) = addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254)))) ),
    inference(resolve,[$cnf( $equal(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))),addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) )],[refute_0_2433,refute_0_2434]) ).

cnf(refute_0_2436,plain,
    addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) = addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254)))),
    inference(resolve,[$cnf( $equal(antidomain(addition(X_1254,coantidomain(domain(X_1254)))),antidomain(addition(X_1254,antidomain(X_1254)))) )],[refute_0_2432,refute_0_2435]) ).

cnf(refute_0_2437,plain,
    antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) = antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),
    introduced(tautology,[refl,[$fot(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))))]]) ).

cnf(refute_0_2438,plain,
    ( addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) != addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))
    | antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) != antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))))
    | antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) = antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))))) ),[1,0],$fot(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254)))))]]) ).

cnf(refute_0_2439,plain,
    ( addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))) != addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))
    | antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) = antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))) ),
    inference(resolve,[$cnf( $equal(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))))) )],[refute_0_2437,refute_0_2438]) ).

cnf(refute_0_2440,plain,
    antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) = antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),
    inference(resolve,[$cnf( $equal(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254))))),addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))) )],[refute_0_2436,refute_0_2439]) ).

cnf(refute_0_2441,plain,
    multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) = multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254))]]) ).

cnf(refute_0_2442,plain,
    ( antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) != antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254)))))
    | multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) != multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254)
    | multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) = multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254),multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254)) ),[1,0],$fot(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))))]]) ).

cnf(refute_0_2443,plain,
    ( antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))) != antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254)))))
    | multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) = multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254),multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254)) )],[refute_0_2441,refute_0_2442]) ).

cnf(refute_0_2444,plain,
    multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) = multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254),
    inference(resolve,[$cnf( $equal(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254)))))) )],[refute_0_2440,refute_0_2443]) ).

cnf(refute_0_2445,plain,
    ( multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) != multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254)
    | multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) != zero
    | multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254),zero) ),[0],$fot(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254))]]) ).

cnf(refute_0_2446,plain,
    ( multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254) != zero
    | multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254),multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254)) )],[refute_0_2444,refute_0_2445]) ).

cnf(refute_0_2447,plain,
    multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,antidomain(X_1254))))),X_1254) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(X_1254),antidomain(addition(X_1254,coantidomain(domain(X_1254)))))),X_1254),zero) )],[refute_0_2423,refute_0_2446]) ).

cnf(refute_0_2448,plain,
    multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = zero,
    inference(subst,[],[refute_0_2447:[bind(X_1254,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2449,plain,
    ( antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != zero
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),zero) ),[0,0,0,1,0,1],$fot(one)]]) ).

cnf(refute_0_2450,plain,
    ( multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != zero
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = zero ),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) )],[refute_0_2332,refute_0_2449]) ).

cnf(refute_0_2451,plain,
    multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),zero) )],[refute_0_2448,refute_0_2450]) ).

cnf(refute_0_2452,plain,
    multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2453,plain,
    antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) = zero,
    inference(subst,[],[refute_0_1347:[bind(X_221,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2454,plain,
    multiplication(addition(domain(X_8),X_73),antidomain(X_8)) = addition(multiplication(domain(X_8),antidomain(X_8)),multiplication(X_73,antidomain(X_8))),
    inference(subst,[],[left_distributivity:[bind(A,$fot(domain(X_8))),bind(B,$fot(X_73)),bind(C,$fot(antidomain(X_8)))]]) ).

cnf(refute_0_2455,plain,
    ( multiplication(addition(domain(X_8),X_73),antidomain(X_8)) != addition(multiplication(domain(X_8),antidomain(X_8)),multiplication(X_73,antidomain(X_8)))
    | multiplication(domain(X_8),antidomain(X_8)) != zero
    | multiplication(addition(domain(X_8),X_73),antidomain(X_8)) = addition(zero,multiplication(X_73,antidomain(X_8))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_8),X_73),antidomain(X_8)),addition(multiplication(domain(X_8),antidomain(X_8)),multiplication(X_73,antidomain(X_8)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2456,plain,
    ( multiplication(addition(domain(X_8),X_73),antidomain(X_8)) != addition(multiplication(domain(X_8),antidomain(X_8)),multiplication(X_73,antidomain(X_8)))
    | multiplication(addition(domain(X_8),X_73),antidomain(X_8)) = addition(zero,multiplication(X_73,antidomain(X_8))) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_8),antidomain(X_8)),zero) )],[refute_0_306,refute_0_2455]) ).

cnf(refute_0_2457,plain,
    multiplication(addition(domain(X_8),X_73),antidomain(X_8)) = addition(zero,multiplication(X_73,antidomain(X_8))),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_8),X_73),antidomain(X_8)),addition(multiplication(domain(X_8),antidomain(X_8)),multiplication(X_73,antidomain(X_8)))) )],[refute_0_2454,refute_0_2456]) ).

cnf(refute_0_2458,plain,
    addition(zero,multiplication(X_73,antidomain(X_8))) = multiplication(X_73,antidomain(X_8)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(X_73,antidomain(X_8))))]]) ).

cnf(refute_0_2459,plain,
    ( addition(zero,multiplication(X_73,antidomain(X_8))) != multiplication(X_73,antidomain(X_8))
    | multiplication(addition(domain(X_8),X_73),antidomain(X_8)) != addition(zero,multiplication(X_73,antidomain(X_8)))
    | multiplication(addition(domain(X_8),X_73),antidomain(X_8)) = multiplication(X_73,antidomain(X_8)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_8),X_73),antidomain(X_8)),addition(zero,multiplication(X_73,antidomain(X_8)))) ),[1],$fot(multiplication(X_73,antidomain(X_8)))]]) ).

cnf(refute_0_2460,plain,
    ( multiplication(addition(domain(X_8),X_73),antidomain(X_8)) != addition(zero,multiplication(X_73,antidomain(X_8)))
    | multiplication(addition(domain(X_8),X_73),antidomain(X_8)) = multiplication(X_73,antidomain(X_8)) ),
    inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_73,antidomain(X_8))),multiplication(X_73,antidomain(X_8))) )],[refute_0_2458,refute_0_2459]) ).

cnf(refute_0_2461,plain,
    multiplication(addition(domain(X_8),X_73),antidomain(X_8)) = multiplication(X_73,antidomain(X_8)),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_8),X_73),antidomain(X_8)),addition(zero,multiplication(X_73,antidomain(X_8)))) )],[refute_0_2457,refute_0_2460]) ).

cnf(refute_0_2462,plain,
    multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    inference(subst,[],[refute_0_2461:[bind(X_8,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2463,plain,
    ( antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one) = multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_2464,plain,
    ( multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one) = multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) )],[refute_0_2332,refute_0_2463]) ).

cnf(refute_0_2465,plain,
    multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one) = multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2462,refute_0_2464]) ).

cnf(refute_0_2466,plain,
    multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one) = addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73)))]]) ).

cnf(refute_0_2467,plain,
    ( multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one) != addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73)
    | multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one) != multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73) = multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one),multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),[0],$fot(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73))]]) ).

cnf(refute_0_2468,plain,
    ( multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one) != multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73) = multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one),addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73)) )],[refute_0_2466,refute_0_2467]) ).

cnf(refute_0_2469,plain,
    multiplication(X_73,one) = X_73,
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_73))]]) ).

cnf(refute_0_2470,plain,
    multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    introduced(tautology,[refl,[$fot(multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2471,plain,
    ( antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(X_73,one) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2472,plain,
    ( antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != one
    | multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(X_73,one) ),
    inference(resolve,[$cnf( $equal(multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2470,refute_0_2471]) ).

cnf(refute_0_2473,plain,
    multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = multiplication(X_73,one),
    inference(resolve,[$cnf( $equal(antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),one) )],[refute_0_2332,refute_0_2472]) ).

cnf(refute_0_2474,plain,
    ( multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != multiplication(X_73,one)
    | multiplication(X_73,one) != X_73
    | multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = X_73 ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))),bind(Y,$fot(multiplication(X_73,one))),bind(Z,$fot(X_73))]]) ).

cnf(refute_0_2475,plain,
    ( multiplication(X_73,one) != X_73
    | multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = X_73 ),
    inference(resolve,[$cnf( $equal(multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),multiplication(X_73,one)) )],[refute_0_2473,refute_0_2474]) ).

cnf(refute_0_2476,plain,
    multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = X_73,
    inference(resolve,[$cnf( $equal(multiplication(X_73,one),X_73) )],[refute_0_2469,refute_0_2475]) ).

cnf(refute_0_2477,plain,
    ( addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73) != multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != X_73
    | addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73) = X_73 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),X_73) ),[0],$fot(multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2478,plain,
    ( addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73) != multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73) = X_73 ),
    inference(resolve,[$cnf( $equal(multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),X_73) )],[refute_0_2476,refute_0_2477]) ).

cnf(refute_0_2479,plain,
    ( multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one) != multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73) = X_73 ),
    inference(resolve,[$cnf( $equal(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2468,refute_0_2478]) ).

cnf(refute_0_2480,plain,
    addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73) = X_73,
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),X_73),one),multiplication(X_73,antidomain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2465,refute_0_2479]) ).

cnf(refute_0_2481,plain,
    addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))) = antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)),
    inference(subst,[],[refute_0_2480:[bind(X_73,$fot(antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))))]]) ).

cnf(refute_0_2482,plain,
    ( addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))) != antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))
    | antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) != zero
    | addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))) = zero ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))))),bind(Y,$fot(antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2483,plain,
    ( antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)) != zero
    | addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))) = zero ),
    inference(resolve,[$cnf( $equal(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))) )],[refute_0_2481,refute_0_2482]) ).

cnf(refute_0_2484,plain,
    addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))) = zero,
    inference(resolve,[$cnf( $equal(antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)),zero) )],[refute_0_2453,refute_0_2483]) ).

cnf(refute_0_2485,plain,
    antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) = antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),
    introduced(tautology,[refl,[$fot(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))))]]) ).

cnf(refute_0_2486,plain,
    ( addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))) != zero
    | antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) != antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))))
    | antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) = antidomain(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2487,plain,
    ( addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))) != zero
    | antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) = antidomain(zero) ),
    inference(resolve,[$cnf( $equal(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))))) )],[refute_0_2485,refute_0_2486]) ).

cnf(refute_0_2488,plain,
    antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) = antidomain(zero),
    inference(resolve,[$cnf( $equal(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one))),zero) )],[refute_0_2484,refute_0_2487]) ).

cnf(refute_0_2489,plain,
    ( antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) != antidomain(zero)
    | antidomain(zero) != one
    | antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))))),bind(Y,$fot(antidomain(zero))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2490,plain,
    ( antidomain(zero) != one
    | antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) = one ),
    inference(resolve,[$cnf( $equal(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),antidomain(zero)) )],[refute_0_2488,refute_0_2489]) ).

cnf(refute_0_2491,plain,
    antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) = one,
    inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_130,refute_0_2490]) ).

cnf(refute_0_2492,plain,
    multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),
    introduced(tautology,[refl,[$fot(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2493,plain,
    ( antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) != one
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2494,plain,
    ( antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))) != one
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) )],[refute_0_2492,refute_0_2493]) ).

cnf(refute_0_2495,plain,
    multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),
    inference(resolve,[$cnf( $equal(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),one) )],[refute_0_2491,refute_0_2494]) ).

cnf(refute_0_2496,plain,
    ( multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))
    | multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),bind(Y,$fot(multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),bind(Z,$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2497,plain,
    ( multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) )],[refute_0_2495,refute_0_2496]) ).

cnf(refute_0_2498,plain,
    multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),
    inference(resolve,[$cnf( $equal(multiplication(one,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) )],[refute_0_2452,refute_0_2497]) ).

cnf(refute_0_2499,plain,
    ( multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))
    | multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != zero
    | multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),zero) ),[0],$fot(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))]]) ).

cnf(refute_0_2500,plain,
    ( multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != zero
    | multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) )],[refute_0_2498,refute_0_2499]) ).

cnf(refute_0_2501,plain,
    multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(domain(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),antidomain(addition(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),one)))),multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),zero) )],[refute_0_2451,refute_0_2500]) ).

cnf(refute_0_2502,plain,
    multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),
    introduced(tautology,[refl,[$fot(multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))]]) ).

cnf(refute_0_2503,plain,
    ( multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))
    | multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))) != zero
    | multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(X_243,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2504,plain,
    ( multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))) != zero
    | multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(X_243,zero) ),
    inference(resolve,[$cnf( $equal(multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) )],[refute_0_2502,refute_0_2503]) ).

cnf(refute_0_2505,plain,
    multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = multiplication(X_243,zero),
    inference(resolve,[$cnf( $equal(multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))),zero) )],[refute_0_2501,refute_0_2504]) ).

cnf(refute_0_2506,plain,
    ( multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != multiplication(X_243,zero)
    | multiplication(X_243,zero) != zero
    | multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = zero ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),bind(Y,$fot(multiplication(X_243,zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2507,plain,
    ( multiplication(X_243,zero) != zero
    | multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = zero ),
    inference(resolve,[$cnf( $equal(multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),multiplication(X_243,zero)) )],[refute_0_2505,refute_0_2506]) ).

cnf(refute_0_2508,plain,
    multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) = zero,
    inference(resolve,[$cnf( $equal(multiplication(X_243,zero),zero) )],[refute_0_2399,refute_0_2507]) ).

cnf(refute_0_2509,plain,
    addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),
    introduced(tautology,[refl,[$fot(addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))]]) ).

cnf(refute_0_2510,plain,
    ( addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))
    | multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != zero
    | addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(one,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2511,plain,
    ( multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))) != zero
    | addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(one,zero) ),
    inference(resolve,[$cnf( $equal(addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) )],[refute_0_2509,refute_0_2510]) ).

cnf(refute_0_2512,plain,
    addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = addition(one,zero),
    inference(resolve,[$cnf( $equal(multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))),zero) )],[refute_0_2508,refute_0_2511]) ).

cnf(refute_0_2513,plain,
    ( addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != addition(one,zero)
    | addition(one,zero) != one
    | addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))),bind(Y,$fot(addition(one,zero))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2514,plain,
    ( addition(one,zero) != one
    | addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = one ),
    inference(resolve,[$cnf( $equal(addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),addition(one,zero)) )],[refute_0_2512,refute_0_2513]) ).

cnf(refute_0_2515,plain,
    addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) = one,
    inference(resolve,[$cnf( $equal(addition(one,zero),one) )],[refute_0_2398,refute_0_2514]) ).

cnf(refute_0_2516,plain,
    addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) = addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),
    introduced(tautology,[refl,[$fot(addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))))]]) ).

cnf(refute_0_2517,plain,
    ( addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) != addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))
    | addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != one
    | addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) = addition(X_243,one) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2518,plain,
    ( addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))) != one
    | addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) = addition(X_243,one) ),
    inference(resolve,[$cnf( $equal(addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))) )],[refute_0_2516,refute_0_2517]) ).

cnf(refute_0_2519,plain,
    addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) = addition(X_243,one),
    inference(resolve,[$cnf( $equal(addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))),one) )],[refute_0_2515,refute_0_2518]) ).

cnf(refute_0_2520,plain,
    ( addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))) != addition(X_243,one)
    | addition(one,X_243) != addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))
    | addition(one,X_243) = addition(X_243,one) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(one,X_243),addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))) ),[1],$fot(addition(X_243,one))]]) ).

cnf(refute_0_2521,plain,
    ( addition(one,X_243) != addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))
    | addition(one,X_243) = addition(X_243,one) ),
    inference(resolve,[$cnf( $equal(addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0)))))))))),addition(X_243,one)) )],[refute_0_2519,refute_0_2520]) ).

cnf(refute_0_2522,plain,
    addition(one,X_243) = addition(X_243,one),
    inference(resolve,[$cnf( $equal(addition(one,X_243),addition(X_243,addition(one,multiplication(X_243,multiplication(codomain(sK2_goals_X0),domain(addition(coantidomain(sK1_goals_X1),domain(addition(coantidomain(sK1_goals_X1),multiplication(codomain(multiplication(domain(sK2_goals_X0),sK1_goals_X1)),coantidomain(sK2_goals_X0))))))))))) )],[refute_0_2397,refute_0_2521]) ).

cnf(refute_0_2523,plain,
    ( addition(one,X_243) != addition(X_243,one)
    | addition(X_243,one) = addition(one,X_243) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(one,X_243))),bind(Y,$fot(addition(X_243,one)))]]) ).

cnf(refute_0_2524,plain,
    addition(X_243,one) = addition(one,X_243),
    inference(resolve,[$cnf( $equal(addition(one,X_243),addition(X_243,one)) )],[refute_0_2522,refute_0_2523]) ).

cnf(refute_0_2525,plain,
    addition(domain(sK1_goals_X1),one) = addition(one,domain(sK1_goals_X1)),
    inference(subst,[],[refute_0_2524:[bind(X_243,$fot(domain(sK1_goals_X1)))]]) ).

cnf(refute_0_2526,plain,
    ( addition(domain(sK1_goals_X1),one) != addition(one,domain(sK1_goals_X1))
    | addition(one,domain(sK1_goals_X1)) != one
    | addition(domain(sK1_goals_X1),one) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(domain(sK1_goals_X1),one))),bind(Y,$fot(addition(one,domain(sK1_goals_X1)))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2527,plain,
    ( addition(one,domain(sK1_goals_X1)) != one
    | addition(domain(sK1_goals_X1),one) = one ),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),one),addition(one,domain(sK1_goals_X1))) )],[refute_0_2525,refute_0_2526]) ).

cnf(refute_0_2528,plain,
    addition(domain(sK1_goals_X1),one) = one,
    inference(resolve,[$cnf( $equal(addition(one,domain(sK1_goals_X1)),one) )],[refute_0_1468,refute_0_2527]) ).

cnf(refute_0_2529,plain,
    addition(antidomain(sK2_goals_X0),domain(sK2_goals_X0)) = one,
    inference(subst,[],[refute_0_101:[bind(X0,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_2530,plain,
    addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) = addition(antidomain(sK2_goals_X0),domain(sK2_goals_X0)),
    inference(subst,[],[refute_0_1190:[bind(A,$fot(domain(sK2_goals_X0))),bind(X_841,$fot(sK2_goals_X0))]]) ).

cnf(refute_0_2531,plain,
    ( addition(antidomain(sK2_goals_X0),domain(sK2_goals_X0)) != one
    | addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) != addition(antidomain(sK2_goals_X0),domain(sK2_goals_X0))
    | addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)))),bind(Y,$fot(addition(antidomain(sK2_goals_X0),domain(sK2_goals_X0)))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2532,plain,
    ( addition(antidomain(sK2_goals_X0),domain(sK2_goals_X0)) != one
    | addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) = one ),
    inference(resolve,[$cnf( $equal(addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)),addition(antidomain(sK2_goals_X0),domain(sK2_goals_X0))) )],[refute_0_2530,refute_0_2531]) ).

cnf(refute_0_2533,plain,
    addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) = one,
    inference(resolve,[$cnf( $equal(addition(antidomain(sK2_goals_X0),domain(sK2_goals_X0)),one) )],[refute_0_2529,refute_0_2532]) ).

cnf(refute_0_2534,plain,
    addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) = addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))),
    introduced(tautology,[refl,[$fot(addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))))]]) ).

cnf(refute_0_2535,plain,
    ( addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) != addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))
    | antidomain(domain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) = addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) ),[1,1],$fot(antidomain(sK2_goals_X0))]]) ).

cnf(refute_0_2536,plain,
    ( antidomain(domain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) = addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) )],[refute_0_2534,refute_0_2535]) ).

cnf(refute_0_2537,plain,
    addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) = addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(antidomain(domain(sK2_goals_X0)),antidomain(sK2_goals_X0)) )],[refute_0_1192,refute_0_2536]) ).

cnf(refute_0_2538,plain,
    ( addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) != addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0))
    | addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) != one
    | addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))))),bind(Y,$fot(addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2539,plain,
    ( addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)) != one
    | addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) = one ),
    inference(resolve,[$cnf( $equal(addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0))) )],[refute_0_2537,refute_0_2538]) ).

cnf(refute_0_2540,plain,
    addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) = one,
    inference(resolve,[$cnf( $equal(addition(domain(sK2_goals_X0),antidomain(sK2_goals_X0)),one) )],[refute_0_2533,refute_0_2539]) ).

cnf(refute_0_2541,plain,
    addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) = addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))),
    introduced(tautology,[refl,[$fot(addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))))]]) ).

cnf(refute_0_2542,plain,
    ( addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) != addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))))
    | addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) != one
    | addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) = addition(domain(sK1_goals_X1),one) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))),addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2543,plain,
    ( addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))) != one
    | addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) = addition(domain(sK1_goals_X1),one) ),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))),addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))))) )],[refute_0_2541,refute_0_2542]) ).

cnf(refute_0_2544,plain,
    addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) = addition(domain(sK1_goals_X1),one),
    inference(resolve,[$cnf( $equal(addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))),one) )],[refute_0_2540,refute_0_2543]) ).

cnf(refute_0_2545,plain,
    ( addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) != addition(domain(sK1_goals_X1),one)
    | addition(domain(sK1_goals_X1),one) != one
    | addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))))),bind(Y,$fot(addition(domain(sK1_goals_X1),one))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2546,plain,
    ( addition(domain(sK1_goals_X1),one) != one
    | addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) = one ),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))),addition(domain(sK1_goals_X1),one)) )],[refute_0_2544,refute_0_2545]) ).

cnf(refute_0_2547,plain,
    addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) = one,
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),one),one) )],[refute_0_2528,refute_0_2546]) ).

cnf(refute_0_2548,plain,
    addition(X_159,addition(X_160,multiplication(X_73,X_160))) = addition(addition(X_159,X_160),multiplication(X_73,X_160)),
    inference(subst,[],[additive_associativity:[bind(A,$fot(X_159)),bind(B,$fot(X_160)),bind(C,$fot(multiplication(X_73,X_160)))]]) ).

cnf(refute_0_2549,plain,
    multiplication(addition(one,X_73),X_160) = addition(X_160,multiplication(X_73,X_160)),
    inference(subst,[],[refute_0_4:[bind(X_74,$fot(X_160))]]) ).

cnf(refute_0_2550,plain,
    ( multiplication(addition(one,X_73),X_160) != addition(X_160,multiplication(X_73,X_160))
    | addition(X_160,multiplication(X_73,X_160)) = multiplication(addition(one,X_73),X_160) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(addition(one,X_73),X_160))),bind(Y,$fot(addition(X_160,multiplication(X_73,X_160))))]]) ).

cnf(refute_0_2551,plain,
    addition(X_160,multiplication(X_73,X_160)) = multiplication(addition(one,X_73),X_160),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,X_73),X_160),addition(X_160,multiplication(X_73,X_160))) )],[refute_0_2549,refute_0_2550]) ).

cnf(refute_0_2552,plain,
    ( addition(X_159,addition(X_160,multiplication(X_73,X_160))) != addition(addition(X_159,X_160),multiplication(X_73,X_160))
    | addition(X_160,multiplication(X_73,X_160)) != multiplication(addition(one,X_73),X_160)
    | addition(X_159,multiplication(addition(one,X_73),X_160)) = addition(addition(X_159,X_160),multiplication(X_73,X_160)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_159,addition(X_160,multiplication(X_73,X_160))),addition(addition(X_159,X_160),multiplication(X_73,X_160))) ),[0,1],$fot(multiplication(addition(one,X_73),X_160))]]) ).

cnf(refute_0_2553,plain,
    ( addition(X_159,addition(X_160,multiplication(X_73,X_160))) != addition(addition(X_159,X_160),multiplication(X_73,X_160))
    | addition(X_159,multiplication(addition(one,X_73),X_160)) = addition(addition(X_159,X_160),multiplication(X_73,X_160)) ),
    inference(resolve,[$cnf( $equal(addition(X_160,multiplication(X_73,X_160)),multiplication(addition(one,X_73),X_160)) )],[refute_0_2551,refute_0_2552]) ).

cnf(refute_0_2554,plain,
    addition(X_159,multiplication(addition(one,X_73),X_160)) = addition(addition(X_159,X_160),multiplication(X_73,X_160)),
    inference(resolve,[$cnf( $equal(addition(X_159,addition(X_160,multiplication(X_73,X_160))),addition(addition(X_159,X_160),multiplication(X_73,X_160))) )],[refute_0_2548,refute_0_2553]) ).

cnf(refute_0_2555,plain,
    addition(addition(X_159,X_160),multiplication(X_73,X_160)) = addition(X_159,addition(X_160,multiplication(X_73,X_160))),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_159)),bind(B,$fot(X_160)),bind(C,$fot(multiplication(X_73,X_160)))]]) ).

cnf(refute_0_2556,plain,
    ( addition(X_159,multiplication(addition(one,X_73),X_160)) != addition(addition(X_159,X_160),multiplication(X_73,X_160))
    | addition(addition(X_159,X_160),multiplication(X_73,X_160)) != addition(X_159,addition(X_160,multiplication(X_73,X_160)))
    | addition(X_159,multiplication(addition(one,X_73),X_160)) = addition(X_159,addition(X_160,multiplication(X_73,X_160))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_159,multiplication(addition(one,X_73),X_160)),addition(X_159,addition(X_160,multiplication(X_73,X_160)))) ),[0],$fot(addition(addition(X_159,X_160),multiplication(X_73,X_160)))]]) ).

cnf(refute_0_2557,plain,
    ( addition(X_159,multiplication(addition(one,X_73),X_160)) != addition(addition(X_159,X_160),multiplication(X_73,X_160))
    | addition(X_159,multiplication(addition(one,X_73),X_160)) = addition(X_159,addition(X_160,multiplication(X_73,X_160))) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_159,X_160),multiplication(X_73,X_160)),addition(X_159,addition(X_160,multiplication(X_73,X_160)))) )],[refute_0_2555,refute_0_2556]) ).

cnf(refute_0_2558,plain,
    addition(X_159,multiplication(addition(one,X_73),X_160)) = addition(X_159,addition(X_160,multiplication(X_73,X_160))),
    inference(resolve,[$cnf( $equal(addition(X_159,multiplication(addition(one,X_73),X_160)),addition(addition(X_159,X_160),multiplication(X_73,X_160))) )],[refute_0_2554,refute_0_2557]) ).

cnf(refute_0_2559,plain,
    addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) = addition(X_1657,addition(addition(X_216,X_217),multiplication(domain(X_217),addition(X_216,X_217)))),
    inference(subst,[],[refute_0_2558:[bind(X_159,$fot(X_1657)),bind(X_160,$fot(addition(X_216,X_217))),bind(X_73,$fot(domain(X_217)))]]) ).

cnf(refute_0_2560,plain,
    ( addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) != addition(X_1657,addition(addition(X_216,X_217),multiplication(domain(X_217),addition(X_216,X_217))))
    | multiplication(domain(X_217),addition(X_216,X_217)) != addition(X_217,multiplication(domain(X_217),X_216))
    | addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) = addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))),addition(X_1657,addition(addition(X_216,X_217),multiplication(domain(X_217),addition(X_216,X_217))))) ),[1,1,1],$fot(addition(X_217,multiplication(domain(X_217),X_216)))]]) ).

cnf(refute_0_2561,plain,
    ( addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) != addition(X_1657,addition(addition(X_216,X_217),multiplication(domain(X_217),addition(X_216,X_217))))
    | addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) = addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) ),
    inference(resolve,[$cnf( $equal(multiplication(domain(X_217),addition(X_216,X_217)),addition(X_217,multiplication(domain(X_217),X_216))) )],[refute_0_326,refute_0_2560]) ).

cnf(refute_0_2562,plain,
    addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) = addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))),
    inference(resolve,[$cnf( $equal(addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))),addition(X_1657,addition(addition(X_216,X_217),multiplication(domain(X_217),addition(X_216,X_217))))) )],[refute_0_2559,refute_0_2561]) ).

cnf(refute_0_2563,plain,
    addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) = addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))),
    introduced(tautology,[refl,[$fot(addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))))]]) ).

cnf(refute_0_2564,plain,
    ( addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) != addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217)))
    | multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) != addition(X_216,X_217)
    | addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) = addition(X_1657,addition(X_216,X_217)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))),addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217)))) ),[1,1],$fot(addition(X_216,X_217))]]) ).

cnf(refute_0_2565,plain,
    ( multiplication(addition(one,domain(X_217)),addition(X_216,X_217)) != addition(X_216,X_217)
    | addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) = addition(X_1657,addition(X_216,X_217)) ),
    inference(resolve,[$cnf( $equal(addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))),addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217)))) )],[refute_0_2563,refute_0_2564]) ).

cnf(refute_0_2566,plain,
    addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) = addition(X_1657,addition(X_216,X_217)),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_217)),addition(X_216,X_217)),addition(X_216,X_217)) )],[refute_0_2086,refute_0_2565]) ).

cnf(refute_0_2567,plain,
    ( addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) != addition(X_1657,addition(X_216,X_217))
    | addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) != addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216))))
    | addition(X_1657,addition(X_216,X_217)) = addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))),addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216))))) ),[0],$fot(addition(X_1657,addition(X_216,X_217)))]]) ).

cnf(refute_0_2568,plain,
    ( addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) != addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216))))
    | addition(X_1657,addition(X_216,X_217)) = addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) ),
    inference(resolve,[$cnf( $equal(addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))),addition(X_1657,addition(X_216,X_217))) )],[refute_0_2566,refute_0_2567]) ).

cnf(refute_0_2569,plain,
    addition(X_217,addition(X_217,X_216)) = addition(X_217,X_216),
    inference(subst,[],[refute_0_1077:[bind(X_160,$fot(X_217)),bind(X_161,$fot(X_216))]]) ).

cnf(refute_0_2570,plain,
    addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) = addition(X_594,addition(X_595,multiplication(domain(X_173),X_595))),
    inference(subst,[],[refute_0_840:[bind(A,$fot(multiplication(domain(X_173),X_595))),bind(X_159,$fot(X_594)),bind(X_160,$fot(X_595))]]) ).

cnf(refute_0_2571,plain,
    X_595 = addition(X_595,multiplication(domain(X_173),X_595)),
    inference(subst,[],[refute_0_2355:[bind(X_74,$fot(X_595))]]) ).

cnf(refute_0_2572,plain,
    ( X_595 != addition(X_595,multiplication(domain(X_173),X_595))
    | addition(X_595,multiplication(domain(X_173),X_595)) = X_595 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_595)),bind(Y,$fot(addition(X_595,multiplication(domain(X_173),X_595))))]]) ).

cnf(refute_0_2573,plain,
    addition(X_595,multiplication(domain(X_173),X_595)) = X_595,
    inference(resolve,[$cnf( $equal(X_595,addition(X_595,multiplication(domain(X_173),X_595))) )],[refute_0_2571,refute_0_2572]) ).

cnf(refute_0_2574,plain,
    ( addition(X_595,multiplication(domain(X_173),X_595)) != X_595
    | addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) != addition(X_594,addition(X_595,multiplication(domain(X_173),X_595)))
    | addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) = addition(X_594,X_595) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)),addition(X_594,addition(X_595,multiplication(domain(X_173),X_595)))) ),[1,1],$fot(X_595)]]) ).

cnf(refute_0_2575,plain,
    ( addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) != addition(X_594,addition(X_595,multiplication(domain(X_173),X_595)))
    | addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) = addition(X_594,X_595) ),
    inference(resolve,[$cnf( $equal(addition(X_595,multiplication(domain(X_173),X_595)),X_595) )],[refute_0_2573,refute_0_2574]) ).

cnf(refute_0_2576,plain,
    addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) = addition(X_594,X_595),
    inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)),addition(X_594,addition(X_595,multiplication(domain(X_173),X_595)))) )],[refute_0_2570,refute_0_2575]) ).

cnf(refute_0_2577,plain,
    addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) = addition(X_595,addition(X_594,multiplication(domain(X_173),X_595))),
    inference(subst,[],[refute_0_1961:[bind(X_593,$fot(X_595)),bind(X_594,$fot(multiplication(domain(X_173),X_595))),bind(X_595,$fot(X_594))]]) ).

cnf(refute_0_2578,plain,
    ( addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) != addition(X_594,X_595)
    | addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) != addition(X_595,addition(X_594,multiplication(domain(X_173),X_595)))
    | addition(X_595,addition(X_594,multiplication(domain(X_173),X_595))) = addition(X_594,X_595) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)),addition(X_594,X_595)) ),[0],$fot(addition(X_595,addition(X_594,multiplication(domain(X_173),X_595))))]]) ).

cnf(refute_0_2579,plain,
    ( addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)) != addition(X_594,X_595)
    | addition(X_595,addition(X_594,multiplication(domain(X_173),X_595))) = addition(X_594,X_595) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)),addition(X_595,addition(X_594,multiplication(domain(X_173),X_595)))) )],[refute_0_2577,refute_0_2578]) ).

cnf(refute_0_2580,plain,
    addition(X_595,addition(X_594,multiplication(domain(X_173),X_595))) = addition(X_594,X_595),
    inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_173),X_595),addition(X_594,X_595)),addition(X_594,X_595)) )],[refute_0_2576,refute_0_2579]) ).

cnf(refute_0_2581,plain,
    addition(X_216,addition(X_217,multiplication(domain(X_217),X_216))) = addition(X_217,X_216),
    inference(subst,[],[refute_0_2580:[bind(X_173,$fot(X_217)),bind(X_594,$fot(X_217)),bind(X_595,$fot(X_216))]]) ).

cnf(refute_0_2582,plain,
    addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)) = addition(X_216,addition(X_217,multiplication(domain(X_217),X_216))),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_216)),bind(B,$fot(X_217)),bind(C,$fot(multiplication(domain(X_217),X_216)))]]) ).

cnf(refute_0_2583,plain,
    ( addition(X_216,addition(X_217,multiplication(domain(X_217),X_216))) != addition(X_217,X_216)
    | addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)) != addition(X_216,addition(X_217,multiplication(domain(X_217),X_216)))
    | addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)) = addition(X_217,X_216) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)))),bind(Y,$fot(addition(X_216,addition(X_217,multiplication(domain(X_217),X_216))))),bind(Z,$fot(addition(X_217,X_216)))]]) ).

cnf(refute_0_2584,plain,
    ( addition(X_216,addition(X_217,multiplication(domain(X_217),X_216))) != addition(X_217,X_216)
    | addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)) = addition(X_217,X_216) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)),addition(X_216,addition(X_217,multiplication(domain(X_217),X_216)))) )],[refute_0_2582,refute_0_2583]) ).

cnf(refute_0_2585,plain,
    addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)) = addition(X_217,X_216),
    inference(resolve,[$cnf( $equal(addition(X_216,addition(X_217,multiplication(domain(X_217),X_216))),addition(X_217,X_216)) )],[refute_0_2581,refute_0_2584]) ).

cnf(refute_0_2586,plain,
    addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) = addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))),
    introduced(tautology,[refl,[$fot(addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))))]]) ).

cnf(refute_0_2587,plain,
    ( addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) != addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)))
    | addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)) != addition(X_217,X_216)
    | addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) = addition(X_217,addition(X_217,X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))),addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)))) ),[1,1],$fot(addition(X_217,X_216))]]) ).

cnf(refute_0_2588,plain,
    ( addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)) != addition(X_217,X_216)
    | addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) = addition(X_217,addition(X_217,X_216)) ),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))),addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)))) )],[refute_0_2586,refute_0_2587]) ).

cnf(refute_0_2589,plain,
    addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) = addition(X_217,addition(X_217,X_216)),
    inference(resolve,[$cnf( $equal(addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)),addition(X_217,X_216)) )],[refute_0_2585,refute_0_2588]) ).

cnf(refute_0_2590,plain,
    ( addition(X_217,addition(X_217,X_216)) != addition(X_217,X_216)
    | addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) != addition(X_217,addition(X_217,X_216))
    | addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) = addition(X_217,X_216) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))))),bind(Y,$fot(addition(X_217,addition(X_217,X_216)))),bind(Z,$fot(addition(X_217,X_216)))]]) ).

cnf(refute_0_2591,plain,
    ( addition(X_217,addition(X_217,X_216)) != addition(X_217,X_216)
    | addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) = addition(X_217,X_216) ),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))),addition(X_217,addition(X_217,X_216))) )],[refute_0_2589,refute_0_2590]) ).

cnf(refute_0_2592,plain,
    addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) = addition(X_217,X_216),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(X_217,X_216)),addition(X_217,X_216)) )],[refute_0_2569,refute_0_2591]) ).

cnf(refute_0_2593,plain,
    addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),addition(X_794,X_795)),X_161)) = addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161),
    inference(subst,[],[refute_0_1992:[bind(X_159,$fot(addition(X_794,X_795))),bind(X_73,$fot(antidomain(X_794)))]]) ).

cnf(refute_0_2594,plain,
    multiplication(antidomain(X_794),addition(X_794,X_795)) = multiplication(antidomain(X_794),X_795),
    inference(subst,[],[refute_0_768:[bind(X_216,$fot(X_794)),bind(X_217,$fot(X_795))]]) ).

cnf(refute_0_2595,plain,
    ( addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),addition(X_794,X_795)),X_161)) != addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)
    | multiplication(antidomain(X_794),addition(X_794,X_795)) != multiplication(antidomain(X_794),X_795)
    | addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) = addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),addition(X_794,X_795)),X_161)),addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)) ),[0,1,0],$fot(multiplication(antidomain(X_794),X_795))]]) ).

cnf(refute_0_2596,plain,
    ( addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),addition(X_794,X_795)),X_161)) != addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)
    | addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) = addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(X_794),addition(X_794,X_795)),multiplication(antidomain(X_794),X_795)) )],[refute_0_2594,refute_0_2595]) ).

cnf(refute_0_2597,plain,
    addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) = addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161),
    inference(resolve,[$cnf( $equal(addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),addition(X_794,X_795)),X_161)),addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)) )],[refute_0_2593,refute_0_2596]) ).

cnf(refute_0_2598,plain,
    addition(A,addition(X_159,multiplication(antidomain(X_711),X_159))) = addition(X_159,addition(multiplication(antidomain(X_711),X_159),A)),
    inference(subst,[],[refute_0_840:[bind(X_160,$fot(multiplication(antidomain(X_711),X_159)))]]) ).

cnf(refute_0_2599,plain,
    multiplication(addition(one,antidomain(X_186)),X_74) = addition(X_74,multiplication(antidomain(X_186),X_74)),
    inference(subst,[],[refute_0_4:[bind(X_73,$fot(antidomain(X_186)))]]) ).

cnf(refute_0_2600,plain,
    addition(one,antidomain(X_186)) = one,
    inference(subst,[],[refute_0_894:[bind(X_185,$fot(X_186))]]) ).

cnf(refute_0_2601,plain,
    ( addition(one,antidomain(X_186)) != one
    | multiplication(addition(one,antidomain(X_186)),X_74) != addition(X_74,multiplication(antidomain(X_186),X_74))
    | multiplication(one,X_74) = addition(X_74,multiplication(antidomain(X_186),X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_186)),X_74),addition(X_74,multiplication(antidomain(X_186),X_74))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_2602,plain,
    ( multiplication(addition(one,antidomain(X_186)),X_74) != addition(X_74,multiplication(antidomain(X_186),X_74))
    | multiplication(one,X_74) = addition(X_74,multiplication(antidomain(X_186),X_74)) ),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(X_186)),one) )],[refute_0_2600,refute_0_2601]) ).

cnf(refute_0_2603,plain,
    multiplication(one,X_74) = addition(X_74,multiplication(antidomain(X_186),X_74)),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_186)),X_74),addition(X_74,multiplication(antidomain(X_186),X_74))) )],[refute_0_2599,refute_0_2602]) ).

cnf(refute_0_2604,plain,
    ( multiplication(one,X_74) != X_74
    | multiplication(one,X_74) != addition(X_74,multiplication(antidomain(X_186),X_74))
    | X_74 = addition(X_74,multiplication(antidomain(X_186),X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_74),addition(X_74,multiplication(antidomain(X_186),X_74))) ),[0],$fot(X_74)]]) ).

cnf(refute_0_2605,plain,
    ( multiplication(one,X_74) != addition(X_74,multiplication(antidomain(X_186),X_74))
    | X_74 = addition(X_74,multiplication(antidomain(X_186),X_74)) ),
    inference(resolve,[$cnf( $equal(multiplication(one,X_74),X_74) )],[refute_0_1,refute_0_2604]) ).

cnf(refute_0_2606,plain,
    X_74 = addition(X_74,multiplication(antidomain(X_186),X_74)),
    inference(resolve,[$cnf( $equal(multiplication(one,X_74),addition(X_74,multiplication(antidomain(X_186),X_74))) )],[refute_0_2603,refute_0_2605]) ).

cnf(refute_0_2607,plain,
    X_159 = addition(X_159,multiplication(antidomain(X_711),X_159)),
    inference(subst,[],[refute_0_2606:[bind(X_186,$fot(X_711)),bind(X_74,$fot(X_159))]]) ).

cnf(refute_0_2608,plain,
    ( X_159 != addition(X_159,multiplication(antidomain(X_711),X_159))
    | addition(X_159,multiplication(antidomain(X_711),X_159)) = X_159 ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_159)),bind(Y,$fot(addition(X_159,multiplication(antidomain(X_711),X_159))))]]) ).

cnf(refute_0_2609,plain,
    addition(X_159,multiplication(antidomain(X_711),X_159)) = X_159,
    inference(resolve,[$cnf( $equal(X_159,addition(X_159,multiplication(antidomain(X_711),X_159))) )],[refute_0_2607,refute_0_2608]) ).

cnf(refute_0_2610,plain,
    ( addition(A,addition(X_159,multiplication(antidomain(X_711),X_159))) != addition(X_159,addition(multiplication(antidomain(X_711),X_159),A))
    | addition(X_159,multiplication(antidomain(X_711),X_159)) != X_159
    | addition(A,X_159) = addition(X_159,addition(multiplication(antidomain(X_711),X_159),A)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(X_159,multiplication(antidomain(X_711),X_159))),addition(X_159,addition(multiplication(antidomain(X_711),X_159),A))) ),[0,1],$fot(X_159)]]) ).

cnf(refute_0_2611,plain,
    ( addition(A,addition(X_159,multiplication(antidomain(X_711),X_159))) != addition(X_159,addition(multiplication(antidomain(X_711),X_159),A))
    | addition(A,X_159) = addition(X_159,addition(multiplication(antidomain(X_711),X_159),A)) ),
    inference(resolve,[$cnf( $equal(addition(X_159,multiplication(antidomain(X_711),X_159)),X_159) )],[refute_0_2609,refute_0_2610]) ).

cnf(refute_0_2612,plain,
    addition(A,X_159) = addition(X_159,addition(multiplication(antidomain(X_711),X_159),A)),
    inference(resolve,[$cnf( $equal(addition(A,addition(X_159,multiplication(antidomain(X_711),X_159))),addition(X_159,addition(multiplication(antidomain(X_711),X_159),A))) )],[refute_0_2598,refute_0_2611]) ).

cnf(refute_0_2613,plain,
    ( addition(A,X_159) != addition(X_159,addition(multiplication(antidomain(X_711),X_159),A))
    | addition(X_159,addition(multiplication(antidomain(X_711),X_159),A)) = addition(A,X_159) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,X_159))),bind(Y,$fot(addition(X_159,addition(multiplication(antidomain(X_711),X_159),A))))]]) ).

cnf(refute_0_2614,plain,
    addition(X_159,addition(multiplication(antidomain(X_711),X_159),A)) = addition(A,X_159),
    inference(resolve,[$cnf( $equal(addition(A,X_159),addition(X_159,addition(multiplication(antidomain(X_711),X_159),A))) )],[refute_0_2612,refute_0_2613]) ).

cnf(refute_0_2615,plain,
    addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)) = addition(X_161,X_795),
    inference(subst,[],[refute_0_2614:[bind(A,$fot(X_161)),bind(X_159,$fot(X_795)),bind(X_711,$fot(X_794))]]) ).

cnf(refute_0_2616,plain,
    addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))) = addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))),
    introduced(tautology,[refl,[$fot(addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))))]]) ).

cnf(refute_0_2617,plain,
    ( addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))) != addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)))
    | addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)) != addition(X_161,X_795)
    | addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))) = addition(X_794,addition(X_161,X_795)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))),addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)))) ),[1,1],$fot(addition(X_161,X_795))]]) ).

cnf(refute_0_2618,plain,
    ( addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)) != addition(X_161,X_795)
    | addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))) = addition(X_794,addition(X_161,X_795)) ),
    inference(resolve,[$cnf( $equal(addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))),addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)))) )],[refute_0_2616,refute_0_2617]) ).

cnf(refute_0_2619,plain,
    addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))) = addition(X_794,addition(X_161,X_795)),
    inference(resolve,[$cnf( $equal(addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)),addition(X_161,X_795)) )],[refute_0_2615,refute_0_2618]) ).

cnf(refute_0_2620,plain,
    addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) = addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_794)),bind(B,$fot(X_795)),bind(C,$fot(addition(multiplication(antidomain(X_794),X_795),X_161)))]]) ).

cnf(refute_0_2621,plain,
    ( addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))) != addition(X_794,addition(X_161,X_795))
    | addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) != addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)))
    | addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) = addition(X_794,addition(X_161,X_795)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)))),bind(Y,$fot(addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))))),bind(Z,$fot(addition(X_794,addition(X_161,X_795))))]]) ).

cnf(refute_0_2622,plain,
    ( addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))) != addition(X_794,addition(X_161,X_795))
    | addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) = addition(X_794,addition(X_161,X_795)) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)),addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161)))) )],[refute_0_2620,refute_0_2621]) ).

cnf(refute_0_2623,plain,
    addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) = addition(X_794,addition(X_161,X_795)),
    inference(resolve,[$cnf( $equal(addition(X_794,addition(X_795,addition(multiplication(antidomain(X_794),X_795),X_161))),addition(X_794,addition(X_161,X_795))) )],[refute_0_2619,refute_0_2622]) ).

cnf(refute_0_2624,plain,
    ( addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) != addition(X_794,addition(X_161,X_795))
    | addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) != addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)
    | addition(X_794,addition(X_161,X_795)) = addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)),addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)) ),[0],$fot(addition(X_794,addition(X_161,X_795)))]]) ).

cnf(refute_0_2625,plain,
    ( addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) != addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)
    | addition(X_794,addition(X_161,X_795)) = addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) ),
    inference(resolve,[$cnf( $equal(addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)),addition(X_794,addition(X_161,X_795))) )],[refute_0_2623,refute_0_2624]) ).

cnf(refute_0_2626,plain,
    addition(addition(X_794,X_795),X_161) = addition(X_794,addition(X_795,X_161)),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_794)),bind(B,$fot(X_795)),bind(C,$fot(X_161))]]) ).

cnf(refute_0_2627,plain,
    multiplication(one,addition(X_794,X_795)) = addition(X_794,X_795),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(addition(X_794,X_795)))]]) ).

cnf(refute_0_2628,plain,
    addition(one,antidomain(X_794)) = one,
    inference(subst,[],[refute_0_894:[bind(X_185,$fot(X_794))]]) ).

cnf(refute_0_2629,plain,
    multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) = multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),
    introduced(tautology,[refl,[$fot(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)))]]) ).

cnf(refute_0_2630,plain,
    ( addition(one,antidomain(X_794)) != one
    | multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) != multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795))
    | multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) = multiplication(one,addition(X_794,X_795)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2631,plain,
    ( addition(one,antidomain(X_794)) != one
    | multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) = multiplication(one,addition(X_794,X_795)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795))) )],[refute_0_2629,refute_0_2630]) ).

cnf(refute_0_2632,plain,
    multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) = multiplication(one,addition(X_794,X_795)),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(X_794)),one) )],[refute_0_2628,refute_0_2631]) ).

cnf(refute_0_2633,plain,
    ( multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) != multiplication(one,addition(X_794,X_795))
    | multiplication(one,addition(X_794,X_795)) != addition(X_794,X_795)
    | multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) = addition(X_794,X_795) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)))),bind(Y,$fot(multiplication(one,addition(X_794,X_795)))),bind(Z,$fot(addition(X_794,X_795)))]]) ).

cnf(refute_0_2634,plain,
    ( multiplication(one,addition(X_794,X_795)) != addition(X_794,X_795)
    | multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) = addition(X_794,X_795) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),multiplication(one,addition(X_794,X_795))) )],[refute_0_2632,refute_0_2633]) ).

cnf(refute_0_2635,plain,
    multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) = addition(X_794,X_795),
    inference(resolve,[$cnf( $equal(multiplication(one,addition(X_794,X_795)),addition(X_794,X_795)) )],[refute_0_2627,refute_0_2634]) ).

cnf(refute_0_2636,plain,
    addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) = addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161),
    introduced(tautology,[refl,[$fot(addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161))]]) ).

cnf(refute_0_2637,plain,
    ( addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) != addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)
    | multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) != addition(X_794,X_795)
    | addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) = addition(addition(X_794,X_795),X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161),addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)) ),[1,0],$fot(addition(X_794,X_795))]]) ).

cnf(refute_0_2638,plain,
    ( multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)) != addition(X_794,X_795)
    | addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) = addition(addition(X_794,X_795),X_161) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161),addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)) )],[refute_0_2636,refute_0_2637]) ).

cnf(refute_0_2639,plain,
    addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) = addition(addition(X_794,X_795),X_161),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),addition(X_794,X_795)) )],[refute_0_2635,refute_0_2638]) ).

cnf(refute_0_2640,plain,
    ( addition(addition(X_794,X_795),X_161) != addition(X_794,addition(X_795,X_161))
    | addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) != addition(addition(X_794,X_795),X_161)
    | addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) = addition(X_794,addition(X_795,X_161)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161))),bind(Y,$fot(addition(addition(X_794,X_795),X_161))),bind(Z,$fot(addition(X_794,addition(X_795,X_161))))]]) ).

cnf(refute_0_2641,plain,
    ( addition(addition(X_794,X_795),X_161) != addition(X_794,addition(X_795,X_161))
    | addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) = addition(X_794,addition(X_795,X_161)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161),addition(addition(X_794,X_795),X_161)) )],[refute_0_2639,refute_0_2640]) ).

cnf(refute_0_2642,plain,
    addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) = addition(X_794,addition(X_795,X_161)),
    inference(resolve,[$cnf( $equal(addition(addition(X_794,X_795),X_161),addition(X_794,addition(X_795,X_161))) )],[refute_0_2626,refute_0_2641]) ).

cnf(refute_0_2643,plain,
    ( addition(X_794,addition(X_161,X_795)) != addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)
    | addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161) != addition(X_794,addition(X_795,X_161))
    | addition(X_794,addition(X_161,X_795)) = addition(X_794,addition(X_795,X_161)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_794,addition(X_161,X_795)),addition(X_794,addition(X_795,X_161))) ),[0],$fot(addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161))]]) ).

cnf(refute_0_2644,plain,
    ( addition(X_794,addition(X_161,X_795)) != addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)
    | addition(X_794,addition(X_161,X_795)) = addition(X_794,addition(X_795,X_161)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161),addition(X_794,addition(X_795,X_161))) )],[refute_0_2642,refute_0_2643]) ).

cnf(refute_0_2645,plain,
    ( addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)) != addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)
    | addition(X_794,addition(X_161,X_795)) = addition(X_794,addition(X_795,X_161)) ),
    inference(resolve,[$cnf( $equal(addition(X_794,addition(X_161,X_795)),addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)) )],[refute_0_2625,refute_0_2644]) ).

cnf(refute_0_2646,plain,
    addition(X_794,addition(X_161,X_795)) = addition(X_794,addition(X_795,X_161)),
    inference(resolve,[$cnf( $equal(addition(addition(X_794,X_795),addition(multiplication(antidomain(X_794),X_795),X_161)),addition(multiplication(addition(one,antidomain(X_794)),addition(X_794,X_795)),X_161)) )],[refute_0_2597,refute_0_2645]) ).

cnf(refute_0_2647,plain,
    ( addition(X_794,addition(X_161,X_795)) != addition(X_794,addition(X_795,X_161))
    | addition(X_794,addition(X_795,X_161)) = addition(X_794,addition(X_161,X_795)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_794,addition(X_161,X_795)))),bind(Y,$fot(addition(X_794,addition(X_795,X_161))))]]) ).

cnf(refute_0_2648,plain,
    addition(X_794,addition(X_795,X_161)) = addition(X_794,addition(X_161,X_795)),
    inference(resolve,[$cnf( $equal(addition(X_794,addition(X_161,X_795)),addition(X_794,addition(X_795,X_161))) )],[refute_0_2646,refute_0_2647]) ).

cnf(refute_0_2649,plain,
    addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))) = addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))),
    inference(subst,[],[refute_0_2648:[bind(X_161,$fot(addition(X_216,X_217))),bind(X_794,$fot(X_217)),bind(X_795,$fot(multiplication(domain(X_217),X_216)))]]) ).

cnf(refute_0_2650,plain,
    ( addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) != addition(X_217,X_216)
    | addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))) != addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)))
    | addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))) = addition(X_217,X_216) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))))),bind(Y,$fot(addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))))),bind(Z,$fot(addition(X_217,X_216)))]]) ).

cnf(refute_0_2651,plain,
    ( addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))) != addition(X_217,X_216)
    | addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))) = addition(X_217,X_216) ),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))),addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216)))) )],[refute_0_2649,refute_0_2650]) ).

cnf(refute_0_2652,plain,
    addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))) = addition(X_217,X_216),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(addition(X_216,X_217),multiplication(domain(X_217),X_216))),addition(X_217,X_216)) )],[refute_0_2592,refute_0_2651]) ).

cnf(refute_0_2653,plain,
    addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))) = addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))),
    introduced(tautology,[refl,[$fot(addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))))]]) ).

cnf(refute_0_2654,plain,
    ( addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))) != addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))))
    | addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))) != addition(X_217,X_216)
    | addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))) = addition(X_1657,addition(X_217,X_216)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))),addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))))) ),[1,1],$fot(addition(X_217,X_216))]]) ).

cnf(refute_0_2655,plain,
    ( addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))) != addition(X_217,X_216)
    | addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))) = addition(X_1657,addition(X_217,X_216)) ),
    inference(resolve,[$cnf( $equal(addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))),addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))))) )],[refute_0_2653,refute_0_2654]) ).

cnf(refute_0_2656,plain,
    addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))) = addition(X_1657,addition(X_217,X_216)),
    inference(resolve,[$cnf( $equal(addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))),addition(X_217,X_216)) )],[refute_0_2652,refute_0_2655]) ).

cnf(refute_0_2657,plain,
    addition(A,addition(B,addition(X_594,X_595))) = addition(addition(A,B),addition(X_594,X_595)),
    inference(subst,[],[additive_associativity:[bind(C,$fot(addition(X_594,X_595)))]]) ).

cnf(refute_0_2658,plain,
    addition(B,addition(X_594,X_595)) = addition(X_594,addition(X_595,B)),
    inference(subst,[],[refute_0_840:[bind(A,$fot(B)),bind(X_159,$fot(X_594)),bind(X_160,$fot(X_595))]]) ).

cnf(refute_0_2659,plain,
    ( addition(A,addition(B,addition(X_594,X_595))) != addition(addition(A,B),addition(X_594,X_595))
    | addition(B,addition(X_594,X_595)) != addition(X_594,addition(X_595,B))
    | addition(A,addition(X_594,addition(X_595,B))) = addition(addition(A,B),addition(X_594,X_595)) ),
    introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,addition(X_594,X_595))),addition(addition(A,B),addition(X_594,X_595))) ),[0,1],$fot(addition(X_594,addition(X_595,B)))]]) ).

cnf(refute_0_2660,plain,
    ( addition(A,addition(B,addition(X_594,X_595))) != addition(addition(A,B),addition(X_594,X_595))
    | addition(A,addition(X_594,addition(X_595,B))) = addition(addition(A,B),addition(X_594,X_595)) ),
    inference(resolve,[$cnf( $equal(addition(B,addition(X_594,X_595)),addition(X_594,addition(X_595,B))) )],[refute_0_2658,refute_0_2659]) ).

cnf(refute_0_2661,plain,
    addition(A,addition(X_594,addition(X_595,B))) = addition(addition(A,B),addition(X_594,X_595)),
    inference(resolve,[$cnf( $equal(addition(A,addition(B,addition(X_594,X_595))),addition(addition(A,B),addition(X_594,X_595))) )],[refute_0_2657,refute_0_2660]) ).

cnf(refute_0_2662,plain,
    addition(addition(A,B),addition(X_594,X_595)) = addition(A,addition(B,addition(X_594,X_595))),
    inference(subst,[],[refute_0_197:[bind(C,$fot(addition(X_594,X_595)))]]) ).

cnf(refute_0_2663,plain,
    ( addition(A,addition(X_594,addition(X_595,B))) != addition(addition(A,B),addition(X_594,X_595))
    | addition(addition(A,B),addition(X_594,X_595)) != addition(A,addition(B,addition(X_594,X_595)))
    | addition(A,addition(X_594,addition(X_595,B))) = addition(A,addition(B,addition(X_594,X_595))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_594,addition(X_595,B))),addition(A,addition(B,addition(X_594,X_595)))) ),[0],$fot(addition(addition(A,B),addition(X_594,X_595)))]]) ).

cnf(refute_0_2664,plain,
    ( addition(A,addition(X_594,addition(X_595,B))) != addition(addition(A,B),addition(X_594,X_595))
    | addition(A,addition(X_594,addition(X_595,B))) = addition(A,addition(B,addition(X_594,X_595))) ),
    inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_594,X_595)),addition(A,addition(B,addition(X_594,X_595)))) )],[refute_0_2662,refute_0_2663]) ).

cnf(refute_0_2665,plain,
    addition(A,addition(X_594,addition(X_595,B))) = addition(A,addition(B,addition(X_594,X_595))),
    inference(resolve,[$cnf( $equal(addition(A,addition(X_594,addition(X_595,B))),addition(addition(A,B),addition(X_594,X_595))) )],[refute_0_2661,refute_0_2664]) ).

cnf(refute_0_2666,plain,
    ( addition(A,addition(X_594,addition(X_595,B))) != addition(A,addition(B,addition(X_594,X_595)))
    | addition(A,addition(B,addition(X_594,X_595))) = addition(A,addition(X_594,addition(X_595,B))) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,addition(X_594,addition(X_595,B))))),bind(Y,$fot(addition(A,addition(B,addition(X_594,X_595)))))]]) ).

cnf(refute_0_2667,plain,
    addition(A,addition(B,addition(X_594,X_595))) = addition(A,addition(X_594,addition(X_595,B))),
    inference(resolve,[$cnf( $equal(addition(A,addition(X_594,addition(X_595,B))),addition(A,addition(B,addition(X_594,X_595)))) )],[refute_0_2665,refute_0_2666]) ).

cnf(refute_0_2668,plain,
    addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) = addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))),
    inference(subst,[],[refute_0_2667:[bind(A,$fot(X_1657)),bind(B,$fot(addition(X_216,X_217))),bind(X_594,$fot(X_217)),bind(X_595,$fot(multiplication(domain(X_217),X_216)))]]) ).

cnf(refute_0_2669,plain,
    ( addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))) != addition(X_1657,addition(X_217,X_216))
    | addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) != addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))))
    | addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) = addition(X_1657,addition(X_217,X_216)) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))))),bind(Y,$fot(addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))))),bind(Z,$fot(addition(X_1657,addition(X_217,X_216))))]]) ).

cnf(refute_0_2670,plain,
    ( addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))) != addition(X_1657,addition(X_217,X_216))
    | addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) = addition(X_1657,addition(X_217,X_216)) ),
    inference(resolve,[$cnf( $equal(addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))),addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217))))) )],[refute_0_2668,refute_0_2669]) ).

cnf(refute_0_2671,plain,
    addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) = addition(X_1657,addition(X_217,X_216)),
    inference(resolve,[$cnf( $equal(addition(X_1657,addition(X_217,addition(multiplication(domain(X_217),X_216),addition(X_216,X_217)))),addition(X_1657,addition(X_217,X_216))) )],[refute_0_2656,refute_0_2670]) ).

cnf(refute_0_2672,plain,
    ( addition(X_1657,addition(X_216,X_217)) != addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216))))
    | addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))) != addition(X_1657,addition(X_217,X_216))
    | addition(X_1657,addition(X_216,X_217)) = addition(X_1657,addition(X_217,X_216)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_1657,addition(X_216,X_217)),addition(X_1657,addition(X_217,X_216))) ),[0],$fot(addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))))]]) ).

cnf(refute_0_2673,plain,
    ( addition(X_1657,addition(X_216,X_217)) != addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216))))
    | addition(X_1657,addition(X_216,X_217)) = addition(X_1657,addition(X_217,X_216)) ),
    inference(resolve,[$cnf( $equal(addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216)))),addition(X_1657,addition(X_217,X_216))) )],[refute_0_2671,refute_0_2672]) ).

cnf(refute_0_2674,plain,
    ( addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))) != addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216))))
    | addition(X_1657,addition(X_216,X_217)) = addition(X_1657,addition(X_217,X_216)) ),
    inference(resolve,[$cnf( $equal(addition(X_1657,addition(X_216,X_217)),addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216))))) )],[refute_0_2568,refute_0_2673]) ).

cnf(refute_0_2675,plain,
    addition(X_1657,addition(X_216,X_217)) = addition(X_1657,addition(X_217,X_216)),
    inference(resolve,[$cnf( $equal(addition(X_1657,multiplication(addition(one,domain(X_217)),addition(X_216,X_217))),addition(X_1657,addition(addition(X_216,X_217),addition(X_217,multiplication(domain(X_217),X_216))))) )],[refute_0_2562,refute_0_2674]) ).

cnf(refute_0_2676,plain,
    ( addition(X_1657,addition(X_216,X_217)) != addition(X_1657,addition(X_217,X_216))
    | addition(X_1657,addition(X_217,X_216)) = addition(X_1657,addition(X_216,X_217)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(X_1657,addition(X_216,X_217)))),bind(Y,$fot(addition(X_1657,addition(X_217,X_216))))]]) ).

cnf(refute_0_2677,plain,
    addition(X_1657,addition(X_217,X_216)) = addition(X_1657,addition(X_216,X_217)),
    inference(resolve,[$cnf( $equal(addition(X_1657,addition(X_216,X_217)),addition(X_1657,addition(X_217,X_216))) )],[refute_0_2675,refute_0_2676]) ).

cnf(refute_0_2678,plain,
    addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) = addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))),
    inference(subst,[],[refute_0_2677:[bind(X_1657,$fot(domain(sK1_goals_X1))),bind(X_216,$fot(domain(sK2_goals_X0))),bind(X_217,$fot(antidomain(domain(sK2_goals_X0))))]]) ).

cnf(refute_0_2679,plain,
    ( addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) != addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))))
    | addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) != one
    | addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) = one ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))))),bind(Y,$fot(addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2680,plain,
    ( addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))) != one
    | addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) = one ),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))),addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0))))) )],[refute_0_2678,refute_0_2679]) ).

cnf(refute_0_2681,plain,
    addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) = one,
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),addition(domain(sK2_goals_X0),antidomain(domain(sK2_goals_X0)))),one) )],[refute_0_2547,refute_0_2680]) ).

cnf(refute_0_2682,plain,
    ( addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) != addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0)))
    | addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))) != one
    | addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) = one ),
    introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) ),[0],$fot(addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))))]]) ).

cnf(refute_0_2683,plain,
    ( addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) != addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0)))
    | addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) = one ),
    inference(resolve,[$cnf( $equal(addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0))),one) )],[refute_0_2681,refute_0_2682]) ).

cnf(refute_0_2684,plain,
    ( multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)) != addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0)))
    | addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) = one ),
    inference(resolve,[$cnf( $equal(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0)))) )],[refute_0_1467,refute_0_2683]) ).

cnf(refute_0_2685,plain,
    addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) = one,
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(sK1_goals_X1),antidomain(domain(sK2_goals_X0))),addition(domain(sK2_goals_X0),one)),addition(domain(sK1_goals_X1),addition(antidomain(domain(sK2_goals_X0)),domain(sK2_goals_X0)))) )],[refute_0_827,refute_0_2684]) ).

cnf(refute_0_2686,plain,
    ( addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)) != one
    | multiplication(antidomain(sK1_goals_X1),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))) != multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))
    | multiplication(antidomain(sK1_goals_X1),one) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))) ),[0,1],$fot(one)]]) ).

cnf(refute_0_2687,plain,
    ( multiplication(antidomain(sK1_goals_X1),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))) != multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))
    | multiplication(antidomain(sK1_goals_X1),one) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1)),one) )],[refute_0_2685,refute_0_2686]) ).

cnf(refute_0_2688,plain,
    multiplication(antidomain(sK1_goals_X1),one) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),addition(antidomain(sK2_goals_X0),domain(sK1_goals_X1))),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))) )],[refute_0_173,refute_0_2687]) ).

cnf(refute_0_2689,plain,
    multiplication(antidomain(sK1_goals_X1),one) = antidomain(sK1_goals_X1),
    inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(antidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_2690,plain,
    ( multiplication(antidomain(sK1_goals_X1),one) != antidomain(sK1_goals_X1)
    | multiplication(antidomain(sK1_goals_X1),one) != multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))
    | antidomain(sK1_goals_X1) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),one),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))) ),[0],$fot(antidomain(sK1_goals_X1))]]) ).

cnf(refute_0_2691,plain,
    ( multiplication(antidomain(sK1_goals_X1),one) != multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))
    | antidomain(sK1_goals_X1) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),one),antidomain(sK1_goals_X1)) )],[refute_0_2689,refute_0_2690]) ).

cnf(refute_0_2692,plain,
    antidomain(sK1_goals_X1) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),one),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))) )],[refute_0_2688,refute_0_2691]) ).

cnf(refute_0_2693,plain,
    ( antidomain(sK1_goals_X1) != multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))
    | multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) = antidomain(sK1_goals_X1) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(antidomain(sK1_goals_X1))),bind(Y,$fot(multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_2694,plain,
    multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) = antidomain(sK1_goals_X1),
    inference(resolve,[$cnf( $equal(antidomain(sK1_goals_X1),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))) )],[refute_0_2692,refute_0_2693]) ).

cnf(refute_0_2695,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) != addition(antidomain(sK2_goals_X0),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)))
    | multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) != antidomain(sK1_goals_X1)
    | multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) = addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)),addition(antidomain(sK2_goals_X0),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)))) ),[1,1],$fot(antidomain(sK1_goals_X1))]]) ).

cnf(refute_0_2696,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) != addition(antidomain(sK2_goals_X0),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)))
    | multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) = addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),antidomain(sK1_goals_X1)) )],[refute_0_2694,refute_0_2695]) ).

cnf(refute_0_2697,plain,
    multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) = addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)),addition(antidomain(sK2_goals_X0),multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)))) )],[refute_0_15,refute_0_2696]) ).

cnf(refute_0_2698,plain,
    multiplication(one,antidomain(sK2_goals_X0)) = antidomain(sK2_goals_X0),
    inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(antidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2699,plain,
    addition(one,antidomain(sK1_goals_X1)) = one,
    inference(subst,[],[refute_0_894:[bind(X_185,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_2700,plain,
    multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) = multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)),
    introduced(tautology,[refl,[$fot(multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2701,plain,
    ( addition(one,antidomain(sK1_goals_X1)) != one
    | multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) != multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0))
    | multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) = multiplication(one,antidomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)),multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2702,plain,
    ( addition(one,antidomain(sK1_goals_X1)) != one
    | multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) = multiplication(one,antidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)),multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0))) )],[refute_0_2700,refute_0_2701]) ).

cnf(refute_0_2703,plain,
    multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) = multiplication(one,antidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(addition(one,antidomain(sK1_goals_X1)),one) )],[refute_0_2699,refute_0_2702]) ).

cnf(refute_0_2704,plain,
    ( multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) != multiplication(one,antidomain(sK2_goals_X0))
    | multiplication(one,antidomain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) = antidomain(sK2_goals_X0) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)))),bind(Y,$fot(multiplication(one,antidomain(sK2_goals_X0)))),bind(Z,$fot(antidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2705,plain,
    ( multiplication(one,antidomain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) = antidomain(sK2_goals_X0) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)),multiplication(one,antidomain(sK2_goals_X0))) )],[refute_0_2703,refute_0_2704]) ).

cnf(refute_0_2706,plain,
    multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) = antidomain(sK2_goals_X0),
    inference(resolve,[$cnf( $equal(multiplication(one,antidomain(sK2_goals_X0)),antidomain(sK2_goals_X0)) )],[refute_0_2698,refute_0_2705]) ).

cnf(refute_0_2707,plain,
    multiplication(addition(domain(X_1452),addition(X_160,A)),antidomain(X_1452)) = multiplication(addition(X_160,A),antidomain(X_1452)),
    inference(subst,[],[refute_0_2461:[bind(X_73,$fot(addition(X_160,A))),bind(X_8,$fot(X_1452))]]) ).

cnf(refute_0_2708,plain,
    addition(A,addition(domain(X_1452),X_160)) = addition(domain(X_1452),addition(X_160,A)),
    inference(subst,[],[refute_0_840:[bind(X_159,$fot(domain(X_1452)))]]) ).

cnf(refute_0_2709,plain,
    ( addition(A,addition(domain(X_1452),X_160)) != addition(domain(X_1452),addition(X_160,A))
    | addition(domain(X_1452),addition(X_160,A)) = addition(A,addition(domain(X_1452),X_160)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(addition(A,addition(domain(X_1452),X_160)))),bind(Y,$fot(addition(domain(X_1452),addition(X_160,A))))]]) ).

cnf(refute_0_2710,plain,
    addition(domain(X_1452),addition(X_160,A)) = addition(A,addition(domain(X_1452),X_160)),
    inference(resolve,[$cnf( $equal(addition(A,addition(domain(X_1452),X_160)),addition(domain(X_1452),addition(X_160,A))) )],[refute_0_2708,refute_0_2709]) ).

cnf(refute_0_2711,plain,
    ( addition(domain(X_1452),addition(X_160,A)) != addition(A,addition(domain(X_1452),X_160))
    | multiplication(addition(domain(X_1452),addition(X_160,A)),antidomain(X_1452)) != multiplication(addition(X_160,A),antidomain(X_1452))
    | multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)) = multiplication(addition(X_160,A),antidomain(X_1452)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_1452),addition(X_160,A)),antidomain(X_1452)),multiplication(addition(X_160,A),antidomain(X_1452))) ),[0,0],$fot(addition(A,addition(domain(X_1452),X_160)))]]) ).

cnf(refute_0_2712,plain,
    ( multiplication(addition(domain(X_1452),addition(X_160,A)),antidomain(X_1452)) != multiplication(addition(X_160,A),antidomain(X_1452))
    | multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)) = multiplication(addition(X_160,A),antidomain(X_1452)) ),
    inference(resolve,[$cnf( $equal(addition(domain(X_1452),addition(X_160,A)),addition(A,addition(domain(X_1452),X_160))) )],[refute_0_2710,refute_0_2711]) ).

cnf(refute_0_2713,plain,
    multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)) = multiplication(addition(X_160,A),antidomain(X_1452)),
    inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_1452),addition(X_160,A)),antidomain(X_1452)),multiplication(addition(X_160,A),antidomain(X_1452))) )],[refute_0_2707,refute_0_2712]) ).

cnf(refute_0_2714,plain,
    multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) = addition(multiplication(addition(X_88,domain(X_89)),antidomain(X_89)),multiplication(B,antidomain(X_89))),
    inference(subst,[],[left_distributivity:[bind(A,$fot(addition(X_88,domain(X_89)))),bind(C,$fot(antidomain(X_89)))]]) ).

cnf(refute_0_2715,plain,
    multiplication(addition(X_88,domain(X_89)),antidomain(X_89)) = multiplication(X_88,antidomain(X_89)),
    inference(subst,[],[refute_0_313:[bind(X_72,$fot(X_88)),bind(X_8,$fot(X_89))]]) ).

cnf(refute_0_2716,plain,
    ( multiplication(addition(X_88,domain(X_89)),antidomain(X_89)) != multiplication(X_88,antidomain(X_89))
    | multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) != addition(multiplication(addition(X_88,domain(X_89)),antidomain(X_89)),multiplication(B,antidomain(X_89)))
    | multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) = addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)),addition(multiplication(addition(X_88,domain(X_89)),antidomain(X_89)),multiplication(B,antidomain(X_89)))) ),[1,0],$fot(multiplication(X_88,antidomain(X_89)))]]) ).

cnf(refute_0_2717,plain,
    ( multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) != addition(multiplication(addition(X_88,domain(X_89)),antidomain(X_89)),multiplication(B,antidomain(X_89)))
    | multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) = addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_88,domain(X_89)),antidomain(X_89)),multiplication(X_88,antidomain(X_89))) )],[refute_0_2715,refute_0_2716]) ).

cnf(refute_0_2718,plain,
    multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) = addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89))),
    inference(resolve,[$cnf( $equal(multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)),addition(multiplication(addition(X_88,domain(X_89)),antidomain(X_89)),multiplication(B,antidomain(X_89)))) )],[refute_0_2714,refute_0_2717]) ).

cnf(refute_0_2719,plain,
    addition(addition(X_88,domain(X_89)),B) = addition(X_88,addition(domain(X_89),B)),
    inference(subst,[],[refute_0_197:[bind(A,$fot(X_88)),bind(B,$fot(domain(X_89))),bind(C,$fot(B))]]) ).

cnf(refute_0_2720,plain,
    multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) = multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)),
    introduced(tautology,[refl,[$fot(multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)))]]) ).

cnf(refute_0_2721,plain,
    ( addition(addition(X_88,domain(X_89)),B) != addition(X_88,addition(domain(X_89),B))
    | multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) != multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89))
    | multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) = multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)),multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89))) ),[1,0],$fot(addition(X_88,addition(domain(X_89),B)))]]) ).

cnf(refute_0_2722,plain,
    ( addition(addition(X_88,domain(X_89)),B) != addition(X_88,addition(domain(X_89),B))
    | multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) = multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)),multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89))) )],[refute_0_2720,refute_0_2721]) ).

cnf(refute_0_2723,plain,
    multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) = multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)),
    inference(resolve,[$cnf( $equal(addition(addition(X_88,domain(X_89)),B),addition(X_88,addition(domain(X_89),B))) )],[refute_0_2719,refute_0_2722]) ).

cnf(refute_0_2724,plain,
    ( multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) != addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))
    | multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) != multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89))
    | multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) = addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)),addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))) ),[0],$fot(multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)))]]) ).

cnf(refute_0_2725,plain,
    ( multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) != addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))
    | multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) = addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89))) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)),multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89))) )],[refute_0_2723,refute_0_2724]) ).

cnf(refute_0_2726,plain,
    addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89))) = multiplication(addition(X_88,B),antidomain(X_89)),
    inference(subst,[],[refute_0_1745:[bind(A,$fot(X_88)),bind(C,$fot(antidomain(X_89)))]]) ).

cnf(refute_0_2727,plain,
    ( addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89))) != multiplication(addition(X_88,B),antidomain(X_89))
    | multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) != addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))
    | multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) = multiplication(addition(X_88,B),antidomain(X_89)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)),addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))) ),[1],$fot(multiplication(addition(X_88,B),antidomain(X_89)))]]) ).

cnf(refute_0_2728,plain,
    ( multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) != addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))
    | multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) = multiplication(addition(X_88,B),antidomain(X_89)) ),
    inference(resolve,[$cnf( $equal(addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89))),multiplication(addition(X_88,B),antidomain(X_89))) )],[refute_0_2726,refute_0_2727]) ).

cnf(refute_0_2729,plain,
    ( multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)) != addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))
    | multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) = multiplication(addition(X_88,B),antidomain(X_89)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)),addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))) )],[refute_0_2725,refute_0_2728]) ).

cnf(refute_0_2730,plain,
    multiplication(addition(X_88,addition(domain(X_89),B)),antidomain(X_89)) = multiplication(addition(X_88,B),antidomain(X_89)),
    inference(resolve,[$cnf( $equal(multiplication(addition(addition(X_88,domain(X_89)),B),antidomain(X_89)),addition(multiplication(X_88,antidomain(X_89)),multiplication(B,antidomain(X_89)))) )],[refute_0_2718,refute_0_2729]) ).

cnf(refute_0_2731,plain,
    multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)) = multiplication(addition(A,X_160),antidomain(X_1452)),
    inference(subst,[],[refute_0_2730:[bind(B,$fot(X_160)),bind(X_88,$fot(A)),bind(X_89,$fot(X_1452))]]) ).

cnf(refute_0_2732,plain,
    ( multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)) != multiplication(addition(A,X_160),antidomain(X_1452))
    | multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)) != multiplication(addition(X_160,A),antidomain(X_1452))
    | multiplication(addition(A,X_160),antidomain(X_1452)) = multiplication(addition(X_160,A),antidomain(X_1452)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)),multiplication(addition(X_160,A),antidomain(X_1452))) ),[0],$fot(multiplication(addition(A,X_160),antidomain(X_1452)))]]) ).

cnf(refute_0_2733,plain,
    ( multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)) != multiplication(addition(X_160,A),antidomain(X_1452))
    | multiplication(addition(A,X_160),antidomain(X_1452)) = multiplication(addition(X_160,A),antidomain(X_1452)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)),multiplication(addition(A,X_160),antidomain(X_1452))) )],[refute_0_2731,refute_0_2732]) ).

cnf(refute_0_2734,plain,
    multiplication(addition(A,X_160),antidomain(X_1452)) = multiplication(addition(X_160,A),antidomain(X_1452)),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,addition(domain(X_1452),X_160)),antidomain(X_1452)),multiplication(addition(X_160,A),antidomain(X_1452))) )],[refute_0_2713,refute_0_2733]) ).

cnf(refute_0_2735,plain,
    ( multiplication(addition(A,X_160),antidomain(X_1452)) != multiplication(addition(X_160,A),antidomain(X_1452))
    | multiplication(addition(X_160,A),antidomain(X_1452)) = multiplication(addition(A,X_160),antidomain(X_1452)) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(multiplication(addition(A,X_160),antidomain(X_1452)))),bind(Y,$fot(multiplication(addition(X_160,A),antidomain(X_1452))))]]) ).

cnf(refute_0_2736,plain,
    multiplication(addition(X_160,A),antidomain(X_1452)) = multiplication(addition(A,X_160),antidomain(X_1452)),
    inference(resolve,[$cnf( $equal(multiplication(addition(A,X_160),antidomain(X_1452)),multiplication(addition(X_160,A),antidomain(X_1452))) )],[refute_0_2734,refute_0_2735]) ).

cnf(refute_0_2737,plain,
    multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) = multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)),
    inference(subst,[],[refute_0_2736:[bind(A,$fot(one)),bind(X_1452,$fot(sK2_goals_X0)),bind(X_160,$fot(antidomain(sK1_goals_X1)))]]) ).

cnf(refute_0_2738,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) != multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0))
    | multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) = antidomain(sK2_goals_X0) ),
    inference(subst,[],[refute_0_159:[bind(X,$fot(multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)))),bind(Y,$fot(multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)))),bind(Z,$fot(antidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2739,plain,
    ( multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) = antidomain(sK2_goals_X0) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)),multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0))) )],[refute_0_2737,refute_0_2738]) ).

cnf(refute_0_2740,plain,
    multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) = antidomain(sK2_goals_X0),
    inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)),antidomain(sK2_goals_X0)) )],[refute_0_2706,refute_0_2739]) ).

cnf(refute_0_2741,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) != addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))
    | multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) != antidomain(sK2_goals_X0)
    | antidomain(sK2_goals_X0) = addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)),addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))) ),[0],$fot(antidomain(sK2_goals_X0))]]) ).

cnf(refute_0_2742,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) != addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))
    | antidomain(sK2_goals_X0) = addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) ),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)),antidomain(sK2_goals_X0)) )],[refute_0_2740,refute_0_2741]) ).

cnf(refute_0_2743,plain,
    addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) = addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
    inference(subst,[],[refute_0_1190:[bind(A,$fot(antidomain(sK2_goals_X0))),bind(X_841,$fot(sK1_goals_X1))]]) ).

cnf(refute_0_2744,plain,
    ( addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) != addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))
    | antidomain(sK2_goals_X0) != addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))
    | antidomain(sK2_goals_X0) = addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(antidomain(sK2_goals_X0),addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))) ),[1],$fot(addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)))]]) ).

cnf(refute_0_2745,plain,
    ( antidomain(sK2_goals_X0) != addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))
    | antidomain(sK2_goals_X0) = addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)),addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))) )],[refute_0_2743,refute_0_2744]) ).

cnf(refute_0_2746,plain,
    ( multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)) != addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))
    | antidomain(sK2_goals_X0) = addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) ),
    inference(resolve,[$cnf( $equal(antidomain(sK2_goals_X0),addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))) )],[refute_0_2742,refute_0_2745]) ).

cnf(refute_0_2747,plain,
    antidomain(sK2_goals_X0) = addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(sK1_goals_X1),one),antidomain(sK2_goals_X0)),addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1))) )],[refute_0_2697,refute_0_2746]) ).

cnf(refute_0_2748,plain,
    ( antidomain(sK2_goals_X0) != addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))
    | addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) = antidomain(sK2_goals_X0) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(antidomain(sK2_goals_X0))),bind(Y,$fot(addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))))]]) ).

cnf(refute_0_2749,plain,
    antidomain(sK2_goals_X0) != addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
    inference(resolve,[$cnf( $equal(addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),antidomain(sK2_goals_X0)) )],[refute_0_2748,goals_1]) ).

cnf(refute_0_2750,plain,
    $false,
    inference(resolve,[$cnf( $equal(antidomain(sK2_goals_X0),addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))) )],[refute_0_2747,refute_0_2749]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : KLE090-10 : TPTP v8.1.0. Released v7.3.0.
% 0.05/0.09  % Command  : metis --show proof --show saturation %s
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 600
% 0.10/0.28  % DateTime : Thu Jun 16 13:59:45 EDT 2022
% 0.10/0.28  % CPUTime  : 
% 0.10/0.29  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 99.45/99.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.45/99.62  
% 99.45/99.62  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 99.83/100.04  
%------------------------------------------------------------------------------