TSTP Solution File: KLE145-10 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE145-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 02:15:31 EDT 2022
% Result : Unsatisfiable 33.27s 33.45s
% Output : CNFRefutation 33.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 362
% Syntax : Number of clauses : 1492 ( 758 unt; 0 nHn; 760 RR)
% Number of literals : 2554 (2553 equ;1064 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 2338 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq3(A,A,B,C) = B ).
cnf(ifeq_axiom_001,axiom,
ifeq2(A,A,B,C) = B ).
cnf(ifeq_axiom_002,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(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(distributivity1,axiom,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
cnf(distributivity2,axiom,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
cnf(left_annihilation,axiom,
multiplication(zero,A) = zero ).
cnf(star_unfold1,axiom,
addition(one,multiplication(A,star(A))) = star(A) ).
cnf(star_unfold2,axiom,
addition(one,multiplication(star(A),A)) = star(A) ).
cnf(star_induction2,axiom,
ifeq(leq(addition(multiplication(C,A),B),C),true,leq(multiplication(B,star(A)),C),true) = true ).
cnf(infty_unfold1,axiom,
strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) ).
cnf(infty_coinduction,axiom,
ifeq(leq(C,addition(multiplication(A,C),B)),true,leq(C,multiplication(strong_iteration(A),B)),true) = true ).
cnf(isolation,axiom,
strong_iteration(A) = addition(star(A),multiplication(strong_iteration(A),zero)) ).
cnf(order_1,axiom,
ifeq2(leq(A,B),true,addition(A,B),B) = B ).
cnf(order,axiom,
ifeq3(addition(A,B),B,leq(A,B),true) = true ).
cnf(goals,negated_conjecture,
star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0) ).
cnf(refute_0_0,plain,
ifeq2(leq(X_21,X_22),true,addition(X_21,X_22),X_22) = X_22,
inference(subst,[],[order_1:[bind(A,$fot(X_21)),bind(B,$fot(X_22))]]) ).
cnf(refute_0_1,plain,
addition(X_22,X_21) = addition(X_21,X_22),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_22)),bind(B,$fot(X_21))]]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( addition(X_22,X_21) != addition(X_21,X_22)
| addition(X_21,X_22) = addition(X_22,X_21) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_22,X_21))),bind(Y,$fot(addition(X_21,X_22)))]]) ).
cnf(refute_0_6,plain,
addition(X_21,X_22) = addition(X_22,X_21),
inference(resolve,[$cnf( $equal(addition(X_22,X_21),addition(X_21,X_22)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( addition(X_21,X_22) != addition(X_22,X_21)
| ifeq2(leq(X_21,X_22),true,addition(X_21,X_22),X_22) != X_22
| ifeq2(leq(X_21,X_22),true,addition(X_22,X_21),X_22) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(X_21,X_22),true,addition(X_21,X_22),X_22),X_22) ),[0,2],$fot(addition(X_22,X_21))]]) ).
cnf(refute_0_8,plain,
( ifeq2(leq(X_21,X_22),true,addition(X_21,X_22),X_22) != X_22
| ifeq2(leq(X_21,X_22),true,addition(X_22,X_21),X_22) = X_22 ),
inference(resolve,[$cnf( $equal(addition(X_21,X_22),addition(X_22,X_21)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
ifeq2(leq(X_21,X_22),true,addition(X_22,X_21),X_22) = X_22,
inference(resolve,[$cnf( $equal(ifeq2(leq(X_21,X_22),true,addition(X_21,X_22),X_22),X_22) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
ifeq2(leq(multiplication(X_22,X_54),X_22),true,addition(X_22,multiplication(X_22,X_54)),X_22) = X_22,
inference(subst,[],[refute_0_9:[bind(X_21,$fot(multiplication(X_22,X_54)))]]) ).
cnf(refute_0_11,plain,
multiplication(X_30,addition(X_31,one)) = addition(multiplication(X_30,X_31),multiplication(X_30,one)),
inference(subst,[],[distributivity1:[bind(A,$fot(X_30)),bind(B,$fot(X_31)),bind(C,$fot(one))]]) ).
cnf(refute_0_12,plain,
multiplication(X_30,one) = X_30,
inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_13,plain,
( multiplication(X_30,addition(X_31,one)) != addition(multiplication(X_30,X_31),multiplication(X_30,one))
| multiplication(X_30,one) != X_30
| multiplication(X_30,addition(X_31,one)) = addition(multiplication(X_30,X_31),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_30,addition(X_31,one)),addition(multiplication(X_30,X_31),multiplication(X_30,one))) ),[1,1],$fot(X_30)]]) ).
cnf(refute_0_14,plain,
( multiplication(X_30,addition(X_31,one)) != addition(multiplication(X_30,X_31),multiplication(X_30,one))
| multiplication(X_30,addition(X_31,one)) = addition(multiplication(X_30,X_31),X_30) ),
inference(resolve,[$cnf( $equal(multiplication(X_30,one),X_30) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiplication(X_30,addition(X_31,one)) = addition(multiplication(X_30,X_31),X_30),
inference(resolve,[$cnf( $equal(multiplication(X_30,addition(X_31,one)),addition(multiplication(X_30,X_31),multiplication(X_30,one))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_17,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[additive_commutativity,refute_0_16]) ).
cnf(refute_0_18,plain,
addition(multiplication(X_30,X_31),X_30) = addition(X_30,multiplication(X_30,X_31)),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_30)),bind(B,$fot(multiplication(X_30,X_31)))]]) ).
cnf(refute_0_19,plain,
( addition(multiplication(X_30,X_31),X_30) != addition(X_30,multiplication(X_30,X_31))
| multiplication(X_30,addition(X_31,one)) != addition(multiplication(X_30,X_31),X_30)
| multiplication(X_30,addition(X_31,one)) = addition(X_30,multiplication(X_30,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_30,addition(X_31,one)),addition(multiplication(X_30,X_31),X_30)) ),[1],$fot(addition(X_30,multiplication(X_30,X_31)))]]) ).
cnf(refute_0_20,plain,
( multiplication(X_30,addition(X_31,one)) != addition(multiplication(X_30,X_31),X_30)
| multiplication(X_30,addition(X_31,one)) = addition(X_30,multiplication(X_30,X_31)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_30,X_31),X_30),addition(X_30,multiplication(X_30,X_31))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
multiplication(X_30,addition(X_31,one)) = addition(X_30,multiplication(X_30,X_31)),
inference(resolve,[$cnf( $equal(multiplication(X_30,addition(X_31,one)),addition(multiplication(X_30,X_31),X_30)) )],[refute_0_15,refute_0_20]) ).
cnf(refute_0_22,plain,
multiplication(X_22,addition(X_54,one)) = addition(X_22,multiplication(X_22,X_54)),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(X_22)),bind(X_31,$fot(X_54))]]) ).
cnf(refute_0_23,plain,
( multiplication(X_22,addition(X_54,one)) != addition(X_22,multiplication(X_22,X_54))
| addition(X_22,multiplication(X_22,X_54)) = multiplication(X_22,addition(X_54,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_22,addition(X_54,one)))),bind(Y,$fot(addition(X_22,multiplication(X_22,X_54))))]]) ).
cnf(refute_0_24,plain,
addition(X_22,multiplication(X_22,X_54)) = multiplication(X_22,addition(X_54,one)),
inference(resolve,[$cnf( $equal(multiplication(X_22,addition(X_54,one)),addition(X_22,multiplication(X_22,X_54))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( addition(X_22,multiplication(X_22,X_54)) != multiplication(X_22,addition(X_54,one))
| ifeq2(leq(multiplication(X_22,X_54),X_22),true,addition(X_22,multiplication(X_22,X_54)),X_22) != X_22
| ifeq2(leq(multiplication(X_22,X_54),X_22),true,multiplication(X_22,addition(X_54,one)),X_22) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(multiplication(X_22,X_54),X_22),true,addition(X_22,multiplication(X_22,X_54)),X_22),X_22) ),[0,2],$fot(multiplication(X_22,addition(X_54,one)))]]) ).
cnf(refute_0_26,plain,
( ifeq2(leq(multiplication(X_22,X_54),X_22),true,addition(X_22,multiplication(X_22,X_54)),X_22) != X_22
| ifeq2(leq(multiplication(X_22,X_54),X_22),true,multiplication(X_22,addition(X_54,one)),X_22) = X_22 ),
inference(resolve,[$cnf( $equal(addition(X_22,multiplication(X_22,X_54)),multiplication(X_22,addition(X_54,one))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
ifeq2(leq(multiplication(X_22,X_54),X_22),true,multiplication(X_22,addition(X_54,one)),X_22) = X_22,
inference(resolve,[$cnf( $equal(ifeq2(leq(multiplication(X_22,X_54),X_22),true,addition(X_22,multiplication(X_22,X_54)),X_22),X_22) )],[refute_0_10,refute_0_26]) ).
cnf(refute_0_28,plain,
ifeq2(leq(multiplication(X_234,addition(one,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) = X_234,
inference(subst,[],[refute_0_27:[bind(X_22,$fot(X_234)),bind(X_54,$fot(addition(one,X_32)))]]) ).
cnf(refute_0_29,plain,
multiplication(X_30,addition(one,X_32)) = addition(multiplication(X_30,one),multiplication(X_30,X_32)),
inference(subst,[],[distributivity1:[bind(A,$fot(X_30)),bind(B,$fot(one)),bind(C,$fot(X_32))]]) ).
cnf(refute_0_30,plain,
( multiplication(X_30,addition(one,X_32)) != addition(multiplication(X_30,one),multiplication(X_30,X_32))
| multiplication(X_30,one) != X_30
| multiplication(X_30,addition(one,X_32)) = addition(X_30,multiplication(X_30,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_30,addition(one,X_32)),addition(multiplication(X_30,one),multiplication(X_30,X_32))) ),[1,0],$fot(X_30)]]) ).
cnf(refute_0_31,plain,
( multiplication(X_30,addition(one,X_32)) != addition(multiplication(X_30,one),multiplication(X_30,X_32))
| multiplication(X_30,addition(one,X_32)) = addition(X_30,multiplication(X_30,X_32)) ),
inference(resolve,[$cnf( $equal(multiplication(X_30,one),X_30) )],[refute_0_12,refute_0_30]) ).
cnf(refute_0_32,plain,
multiplication(X_30,addition(one,X_32)) = addition(X_30,multiplication(X_30,X_32)),
inference(resolve,[$cnf( $equal(multiplication(X_30,addition(one,X_32)),addition(multiplication(X_30,one),multiplication(X_30,X_32))) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
multiplication(X_234,addition(one,X_32)) = addition(X_234,multiplication(X_234,X_32)),
inference(subst,[],[refute_0_32:[bind(X_30,$fot(X_234))]]) ).
cnf(refute_0_34,plain,
( ifeq2(leq(multiplication(X_234,addition(one,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) != X_234
| multiplication(X_234,addition(one,X_32)) != addition(X_234,multiplication(X_234,X_32))
| ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) = X_234 ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(multiplication(X_234,addition(one,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234),X_234) ),[0,0,0],$fot(addition(X_234,multiplication(X_234,X_32)))]]) ).
cnf(refute_0_35,plain,
( ifeq2(leq(multiplication(X_234,addition(one,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) != X_234
| ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) = X_234 ),
inference(resolve,[$cnf( $equal(multiplication(X_234,addition(one,X_32)),addition(X_234,multiplication(X_234,X_32))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) = X_234,
inference(resolve,[$cnf( $equal(ifeq2(leq(multiplication(X_234,addition(one,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234),X_234) )],[refute_0_28,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(X_65,addition(X_65,X_66)) = addition(addition(X_65,X_65),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_65)),bind(B,$fot(X_65)),bind(C,$fot(X_66))]]) ).
cnf(refute_0_38,plain,
addition(X_65,X_65) = X_65,
inference(subst,[],[idempotence:[bind(A,$fot(X_65))]]) ).
cnf(refute_0_39,plain,
( addition(X_65,X_65) != X_65
| addition(X_65,addition(X_65,X_66)) != addition(addition(X_65,X_65),X_66)
| addition(X_65,addition(X_65,X_66)) = addition(X_65,X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_65,addition(X_65,X_66)),addition(addition(X_65,X_65),X_66)) ),[1,0],$fot(X_65)]]) ).
cnf(refute_0_40,plain,
( addition(X_65,addition(X_65,X_66)) != addition(addition(X_65,X_65),X_66)
| addition(X_65,addition(X_65,X_66)) = addition(X_65,X_66) ),
inference(resolve,[$cnf( $equal(addition(X_65,X_65),X_65) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
addition(X_65,addition(X_65,X_66)) = addition(X_65,X_66),
inference(resolve,[$cnf( $equal(addition(X_65,addition(X_65,X_66)),addition(addition(X_65,X_65),X_66)) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
addition(one,addition(one,X_32)) = addition(one,X_32),
inference(subst,[],[refute_0_41:[bind(X_65,$fot(one)),bind(X_66,$fot(X_32))]]) ).
cnf(refute_0_43,plain,
multiplication(X_234,addition(one,addition(one,X_32))) = multiplication(X_234,addition(one,addition(one,X_32))),
introduced(tautology,[refl,[$fot(multiplication(X_234,addition(one,addition(one,X_32))))]]) ).
cnf(refute_0_44,plain,
( addition(one,addition(one,X_32)) != addition(one,X_32)
| multiplication(X_234,addition(one,addition(one,X_32))) != multiplication(X_234,addition(one,addition(one,X_32)))
| multiplication(X_234,addition(one,addition(one,X_32))) = multiplication(X_234,addition(one,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_234,addition(one,addition(one,X_32))),multiplication(X_234,addition(one,addition(one,X_32)))) ),[1,1],$fot(addition(one,X_32))]]) ).
cnf(refute_0_45,plain,
( addition(one,addition(one,X_32)) != addition(one,X_32)
| multiplication(X_234,addition(one,addition(one,X_32))) = multiplication(X_234,addition(one,X_32)) ),
inference(resolve,[$cnf( $equal(multiplication(X_234,addition(one,addition(one,X_32))),multiplication(X_234,addition(one,addition(one,X_32)))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiplication(X_234,addition(one,addition(one,X_32))) = multiplication(X_234,addition(one,X_32)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_32)),addition(one,X_32)) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
multiplication(X_30,addition(one,X_31)) = addition(X_30,multiplication(X_30,X_31)),
inference(subst,[],[refute_0_32:[bind(X_32,$fot(X_31))]]) ).
cnf(refute_0_48,plain,
( multiplication(X_30,addition(one,X_31)) != addition(X_30,multiplication(X_30,X_31))
| addition(X_30,multiplication(X_30,X_31)) = multiplication(X_30,addition(one,X_31)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_30,addition(one,X_31)))),bind(Y,$fot(addition(X_30,multiplication(X_30,X_31))))]]) ).
cnf(refute_0_49,plain,
addition(X_30,multiplication(X_30,X_31)) = multiplication(X_30,addition(one,X_31)),
inference(resolve,[$cnf( $equal(multiplication(X_30,addition(one,X_31)),addition(X_30,multiplication(X_30,X_31))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( addition(X_30,multiplication(X_30,X_31)) != multiplication(X_30,addition(one,X_31))
| multiplication(X_30,addition(X_31,one)) != addition(X_30,multiplication(X_30,X_31))
| multiplication(X_30,addition(X_31,one)) = multiplication(X_30,addition(one,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_30,addition(X_31,one)),addition(X_30,multiplication(X_30,X_31))) ),[1],$fot(multiplication(X_30,addition(one,X_31)))]]) ).
cnf(refute_0_51,plain,
( multiplication(X_30,addition(X_31,one)) != addition(X_30,multiplication(X_30,X_31))
| multiplication(X_30,addition(X_31,one)) = multiplication(X_30,addition(one,X_31)) ),
inference(resolve,[$cnf( $equal(addition(X_30,multiplication(X_30,X_31)),multiplication(X_30,addition(one,X_31))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
multiplication(X_30,addition(X_31,one)) = multiplication(X_30,addition(one,X_31)),
inference(resolve,[$cnf( $equal(multiplication(X_30,addition(X_31,one)),addition(X_30,multiplication(X_30,X_31))) )],[refute_0_21,refute_0_51]) ).
cnf(refute_0_53,plain,
multiplication(X_234,addition(addition(one,X_32),one)) = multiplication(X_234,addition(one,addition(one,X_32))),
inference(subst,[],[refute_0_52:[bind(X_30,$fot(X_234)),bind(X_31,$fot(addition(one,X_32)))]]) ).
cnf(refute_0_54,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_55,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_54]) ).
cnf(refute_0_56,plain,
( multiplication(X_234,addition(addition(one,X_32),one)) != multiplication(X_234,addition(one,addition(one,X_32)))
| multiplication(X_234,addition(one,addition(one,X_32))) != multiplication(X_234,addition(one,X_32))
| multiplication(X_234,addition(addition(one,X_32),one)) = multiplication(X_234,addition(one,X_32)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(X_234,addition(addition(one,X_32),one)))),bind(Y,$fot(multiplication(X_234,addition(one,addition(one,X_32))))),bind(Z,$fot(multiplication(X_234,addition(one,X_32))))]]) ).
cnf(refute_0_57,plain,
( multiplication(X_234,addition(one,addition(one,X_32))) != multiplication(X_234,addition(one,X_32))
| multiplication(X_234,addition(addition(one,X_32),one)) = multiplication(X_234,addition(one,X_32)) ),
inference(resolve,[$cnf( $equal(multiplication(X_234,addition(addition(one,X_32),one)),multiplication(X_234,addition(one,addition(one,X_32)))) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
multiplication(X_234,addition(addition(one,X_32),one)) = multiplication(X_234,addition(one,X_32)),
inference(resolve,[$cnf( $equal(multiplication(X_234,addition(one,addition(one,X_32))),multiplication(X_234,addition(one,X_32))) )],[refute_0_46,refute_0_57]) ).
cnf(refute_0_59,plain,
ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) = ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234),
introduced(tautology,[refl,[$fot(ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234))]]) ).
cnf(refute_0_60,plain,
( ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) != ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234)
| multiplication(X_234,addition(addition(one,X_32),one)) != multiplication(X_234,addition(one,X_32))
| ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) = ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234),ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234)) ),[1,2],$fot(multiplication(X_234,addition(one,X_32)))]]) ).
cnf(refute_0_61,plain,
( multiplication(X_234,addition(addition(one,X_32),one)) != multiplication(X_234,addition(one,X_32))
| ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) = ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234),ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) = ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234),
inference(resolve,[$cnf( $equal(multiplication(X_234,addition(addition(one,X_32),one)),multiplication(X_234,addition(one,X_32))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
( ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) != X_234
| ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) != ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234)
| ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234) = X_234 ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234),X_234) ),[0],$fot(ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234))]]) ).
cnf(refute_0_64,plain,
( ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234) != X_234
| ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234) = X_234 ),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234),ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(one,X_32)),X_234) = X_234,
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(X_234,multiplication(X_234,X_32)),X_234),true,multiplication(X_234,addition(addition(one,X_32),one)),X_234),X_234) )],[refute_0_36,refute_0_64]) ).
cnf(refute_0_66,plain,
ifeq2(leq(addition(strong_iteration(A),multiplication(strong_iteration(A),star(strong_iteration(A)))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = strong_iteration(A),
inference(subst,[],[refute_0_65:[bind(X_234,$fot(strong_iteration(A))),bind(X_32,$fot(star(strong_iteration(A))))]]) ).
cnf(refute_0_67,plain,
addition(addition(X_65,X_66),addition(X_65,X_66)) = addition(addition(addition(X_65,X_66),X_65),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(addition(X_65,X_66))),bind(B,$fot(X_65)),bind(C,$fot(X_66))]]) ).
cnf(refute_0_68,plain,
addition(addition(X_65,X_66),addition(X_65,X_66)) = addition(X_65,X_66),
inference(subst,[],[idempotence:[bind(A,$fot(addition(X_65,X_66)))]]) ).
cnf(refute_0_69,plain,
( addition(addition(X_65,X_66),addition(X_65,X_66)) != addition(X_65,X_66)
| addition(addition(X_65,X_66),addition(X_65,X_66)) != addition(addition(addition(X_65,X_66),X_65),X_66)
| addition(X_65,X_66) = addition(addition(addition(X_65,X_66),X_65),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_65,X_66),addition(X_65,X_66)),addition(addition(addition(X_65,X_66),X_65),X_66)) ),[0],$fot(addition(X_65,X_66))]]) ).
cnf(refute_0_70,plain,
( addition(addition(X_65,X_66),addition(X_65,X_66)) != addition(addition(addition(X_65,X_66),X_65),X_66)
| addition(X_65,X_66) = addition(addition(addition(X_65,X_66),X_65),X_66) ),
inference(resolve,[$cnf( $equal(addition(addition(X_65,X_66),addition(X_65,X_66)),addition(X_65,X_66)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
addition(X_65,X_66) = addition(addition(addition(X_65,X_66),X_65),X_66),
inference(resolve,[$cnf( $equal(addition(addition(X_65,X_66),addition(X_65,X_66)),addition(addition(addition(X_65,X_66),X_65),X_66)) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
addition(X_64,addition(X_65,X_66)) = addition(addition(X_64,X_65),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_64)),bind(B,$fot(X_65)),bind(C,$fot(X_66))]]) ).
cnf(refute_0_73,plain,
addition(X_66,X_65) = addition(X_65,X_66),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_66)),bind(B,$fot(X_65))]]) ).
cnf(refute_0_74,plain,
( addition(X_66,X_65) != addition(X_65,X_66)
| addition(X_65,X_66) = addition(X_66,X_65) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_66,X_65))),bind(Y,$fot(addition(X_65,X_66)))]]) ).
cnf(refute_0_75,plain,
addition(X_65,X_66) = addition(X_66,X_65),
inference(resolve,[$cnf( $equal(addition(X_66,X_65),addition(X_65,X_66)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( addition(X_64,addition(X_65,X_66)) != addition(addition(X_64,X_65),X_66)
| addition(X_65,X_66) != addition(X_66,X_65)
| addition(X_64,addition(X_66,X_65)) = addition(addition(X_64,X_65),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_64,addition(X_65,X_66)),addition(addition(X_64,X_65),X_66)) ),[0,1],$fot(addition(X_66,X_65))]]) ).
cnf(refute_0_77,plain,
( addition(X_64,addition(X_65,X_66)) != addition(addition(X_64,X_65),X_66)
| addition(X_64,addition(X_66,X_65)) = addition(addition(X_64,X_65),X_66) ),
inference(resolve,[$cnf( $equal(addition(X_65,X_66),addition(X_66,X_65)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
addition(X_64,addition(X_66,X_65)) = addition(addition(X_64,X_65),X_66),
inference(resolve,[$cnf( $equal(addition(X_64,addition(X_65,X_66)),addition(addition(X_64,X_65),X_66)) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_80,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[additive_associativity,refute_0_79]) ).
cnf(refute_0_81,plain,
addition(addition(X_64,X_65),X_66) = addition(X_64,addition(X_65,X_66)),
inference(subst,[],[refute_0_80:[bind(A,$fot(X_64)),bind(B,$fot(X_65)),bind(C,$fot(X_66))]]) ).
cnf(refute_0_82,plain,
( addition(X_64,addition(X_66,X_65)) != addition(addition(X_64,X_65),X_66)
| addition(addition(X_64,X_65),X_66) != addition(X_64,addition(X_65,X_66))
| addition(X_64,addition(X_66,X_65)) = addition(X_64,addition(X_65,X_66)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_64,addition(X_66,X_65)),addition(X_64,addition(X_65,X_66))) ),[0],$fot(addition(addition(X_64,X_65),X_66))]]) ).
cnf(refute_0_83,plain,
( addition(X_64,addition(X_66,X_65)) != addition(addition(X_64,X_65),X_66)
| addition(X_64,addition(X_66,X_65)) = addition(X_64,addition(X_65,X_66)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_64,X_65),X_66),addition(X_64,addition(X_65,X_66))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(X_64,addition(X_66,X_65)) = addition(X_64,addition(X_65,X_66)),
inference(resolve,[$cnf( $equal(addition(X_64,addition(X_66,X_65)),addition(addition(X_64,X_65),X_66)) )],[refute_0_78,refute_0_83]) ).
cnf(refute_0_85,plain,
( addition(X_64,addition(X_66,X_65)) != addition(X_64,addition(X_65,X_66))
| addition(X_64,addition(X_65,X_66)) = addition(X_64,addition(X_66,X_65)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_64,addition(X_66,X_65)))),bind(Y,$fot(addition(X_64,addition(X_65,X_66))))]]) ).
cnf(refute_0_86,plain,
addition(X_64,addition(X_65,X_66)) = addition(X_64,addition(X_66,X_65)),
inference(resolve,[$cnf( $equal(addition(X_64,addition(X_66,X_65)),addition(X_64,addition(X_65,X_66))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
addition(X_66,addition(addition(X_65,X_66),X_65)) = addition(X_66,addition(X_65,addition(X_65,X_66))),
inference(subst,[],[refute_0_86:[bind(X_64,$fot(X_66)),bind(X_65,$fot(addition(X_65,X_66))),bind(X_66,$fot(X_65))]]) ).
cnf(refute_0_88,plain,
addition(A,addition(X_64,X_65)) = addition(addition(X_64,X_65),A),
inference(subst,[],[additive_commutativity:[bind(B,$fot(addition(X_64,X_65)))]]) ).
cnf(refute_0_89,plain,
addition(X_64,addition(X_65,A)) = addition(addition(X_64,X_65),A),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_64)),bind(B,$fot(X_65)),bind(C,$fot(A))]]) ).
cnf(refute_0_90,plain,
( addition(X_64,addition(X_65,A)) != addition(addition(X_64,X_65),A)
| addition(addition(X_64,X_65),A) = addition(X_64,addition(X_65,A)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_64,addition(X_65,A)))),bind(Y,$fot(addition(addition(X_64,X_65),A)))]]) ).
cnf(refute_0_91,plain,
addition(addition(X_64,X_65),A) = addition(X_64,addition(X_65,A)),
inference(resolve,[$cnf( $equal(addition(X_64,addition(X_65,A)),addition(addition(X_64,X_65),A)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( addition(A,addition(X_64,X_65)) != addition(addition(X_64,X_65),A)
| addition(addition(X_64,X_65),A) != addition(X_64,addition(X_65,A))
| addition(A,addition(X_64,X_65)) = addition(X_64,addition(X_65,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_64,X_65)),addition(X_64,addition(X_65,A))) ),[0],$fot(addition(addition(X_64,X_65),A))]]) ).
cnf(refute_0_93,plain,
( addition(A,addition(X_64,X_65)) != addition(addition(X_64,X_65),A)
| addition(A,addition(X_64,X_65)) = addition(X_64,addition(X_65,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_64,X_65),A),addition(X_64,addition(X_65,A))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
addition(A,addition(X_64,X_65)) = addition(X_64,addition(X_65,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_64,X_65)),addition(addition(X_64,X_65),A)) )],[refute_0_88,refute_0_93]) ).
cnf(refute_0_95,plain,
( addition(A,addition(X_64,X_65)) != addition(X_64,addition(X_65,A))
| addition(X_64,addition(X_65,A)) = addition(A,addition(X_64,X_65)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,addition(X_64,X_65)))),bind(Y,$fot(addition(X_64,addition(X_65,A))))]]) ).
cnf(refute_0_96,plain,
addition(X_64,addition(X_65,A)) = addition(A,addition(X_64,X_65)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_64,X_65)),addition(X_64,addition(X_65,A))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
addition(addition(X_65,X_66),addition(X_65,X_66)) = addition(X_66,addition(addition(X_65,X_66),X_65)),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_66)),bind(X_64,$fot(addition(X_65,X_66)))]]) ).
cnf(refute_0_98,plain,
( addition(X_66,addition(addition(X_65,X_66),X_65)) != addition(X_66,addition(X_65,addition(X_65,X_66)))
| addition(addition(X_65,X_66),addition(X_65,X_66)) != addition(X_66,addition(addition(X_65,X_66),X_65))
| addition(addition(X_65,X_66),addition(X_65,X_66)) = addition(X_66,addition(X_65,addition(X_65,X_66))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(X_65,X_66),addition(X_65,X_66)))),bind(Y,$fot(addition(X_66,addition(addition(X_65,X_66),X_65)))),bind(Z,$fot(addition(X_66,addition(X_65,addition(X_65,X_66)))))]]) ).
cnf(refute_0_99,plain,
( addition(X_66,addition(addition(X_65,X_66),X_65)) != addition(X_66,addition(X_65,addition(X_65,X_66)))
| addition(addition(X_65,X_66),addition(X_65,X_66)) = addition(X_66,addition(X_65,addition(X_65,X_66))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_65,X_66),addition(X_65,X_66)),addition(X_66,addition(addition(X_65,X_66),X_65))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
addition(addition(X_65,X_66),addition(X_65,X_66)) = addition(X_66,addition(X_65,addition(X_65,X_66))),
inference(resolve,[$cnf( $equal(addition(X_66,addition(addition(X_65,X_66),X_65)),addition(X_66,addition(X_65,addition(X_65,X_66)))) )],[refute_0_87,refute_0_99]) ).
cnf(refute_0_101,plain,
addition(addition(addition(X_65,X_66),X_65),X_66) = addition(addition(X_65,X_66),addition(X_65,X_66)),
inference(subst,[],[refute_0_80:[bind(A,$fot(addition(X_65,X_66))),bind(B,$fot(X_65)),bind(C,$fot(X_66))]]) ).
cnf(refute_0_102,plain,
( addition(addition(X_65,X_66),addition(X_65,X_66)) != addition(X_66,addition(X_65,addition(X_65,X_66)))
| addition(addition(addition(X_65,X_66),X_65),X_66) != addition(addition(X_65,X_66),addition(X_65,X_66))
| addition(addition(addition(X_65,X_66),X_65),X_66) = addition(X_66,addition(X_65,addition(X_65,X_66))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(addition(X_65,X_66),X_65),X_66))),bind(Y,$fot(addition(addition(X_65,X_66),addition(X_65,X_66)))),bind(Z,$fot(addition(X_66,addition(X_65,addition(X_65,X_66)))))]]) ).
cnf(refute_0_103,plain,
( addition(addition(X_65,X_66),addition(X_65,X_66)) != addition(X_66,addition(X_65,addition(X_65,X_66)))
| addition(addition(addition(X_65,X_66),X_65),X_66) = addition(X_66,addition(X_65,addition(X_65,X_66))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_65,X_66),X_65),X_66),addition(addition(X_65,X_66),addition(X_65,X_66))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
addition(addition(addition(X_65,X_66),X_65),X_66) = addition(X_66,addition(X_65,addition(X_65,X_66))),
inference(resolve,[$cnf( $equal(addition(addition(X_65,X_66),addition(X_65,X_66)),addition(X_66,addition(X_65,addition(X_65,X_66)))) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
( addition(X_65,X_66) != addition(addition(addition(X_65,X_66),X_65),X_66)
| addition(addition(addition(X_65,X_66),X_65),X_66) != addition(X_66,addition(X_65,addition(X_65,X_66)))
| addition(X_65,X_66) = addition(X_66,addition(X_65,addition(X_65,X_66))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_65,X_66),addition(X_66,addition(X_65,addition(X_65,X_66)))) ),[0],$fot(addition(addition(addition(X_65,X_66),X_65),X_66))]]) ).
cnf(refute_0_106,plain,
( addition(X_65,X_66) != addition(addition(addition(X_65,X_66),X_65),X_66)
| addition(X_65,X_66) = addition(X_66,addition(X_65,addition(X_65,X_66))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_65,X_66),X_65),X_66),addition(X_66,addition(X_65,addition(X_65,X_66)))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
addition(X_65,X_66) = addition(X_66,addition(X_65,addition(X_65,X_66))),
inference(resolve,[$cnf( $equal(addition(X_65,X_66),addition(addition(addition(X_65,X_66),X_65),X_66)) )],[refute_0_71,refute_0_106]) ).
cnf(refute_0_108,plain,
addition(X_66,addition(X_65,addition(X_65,X_66))) = addition(X_66,addition(X_65,addition(X_65,X_66))),
introduced(tautology,[refl,[$fot(addition(X_66,addition(X_65,addition(X_65,X_66))))]]) ).
cnf(refute_0_109,plain,
( addition(X_65,addition(X_65,X_66)) != addition(X_65,X_66)
| addition(X_66,addition(X_65,addition(X_65,X_66))) != addition(X_66,addition(X_65,addition(X_65,X_66)))
| addition(X_66,addition(X_65,addition(X_65,X_66))) = addition(X_66,addition(X_65,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_66,addition(X_65,addition(X_65,X_66))),addition(X_66,addition(X_65,addition(X_65,X_66)))) ),[1,1],$fot(addition(X_65,X_66))]]) ).
cnf(refute_0_110,plain,
( addition(X_65,addition(X_65,X_66)) != addition(X_65,X_66)
| addition(X_66,addition(X_65,addition(X_65,X_66))) = addition(X_66,addition(X_65,X_66)) ),
inference(resolve,[$cnf( $equal(addition(X_66,addition(X_65,addition(X_65,X_66))),addition(X_66,addition(X_65,addition(X_65,X_66)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
addition(X_66,addition(X_65,addition(X_65,X_66))) = addition(X_66,addition(X_65,X_66)),
inference(resolve,[$cnf( $equal(addition(X_65,addition(X_65,X_66)),addition(X_65,X_66)) )],[refute_0_41,refute_0_110]) ).
cnf(refute_0_112,plain,
( addition(X_65,X_66) != addition(X_66,addition(X_65,addition(X_65,X_66)))
| addition(X_66,addition(X_65,addition(X_65,X_66))) != addition(X_66,addition(X_65,X_66))
| addition(X_65,X_66) = addition(X_66,addition(X_65,X_66)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_65,X_66),addition(X_66,addition(X_65,X_66))) ),[0],$fot(addition(X_66,addition(X_65,addition(X_65,X_66))))]]) ).
cnf(refute_0_113,plain,
( addition(X_65,X_66) != addition(X_66,addition(X_65,addition(X_65,X_66)))
| addition(X_65,X_66) = addition(X_66,addition(X_65,X_66)) ),
inference(resolve,[$cnf( $equal(addition(X_66,addition(X_65,addition(X_65,X_66))),addition(X_66,addition(X_65,X_66))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
addition(X_65,X_66) = addition(X_66,addition(X_65,X_66)),
inference(resolve,[$cnf( $equal(addition(X_65,X_66),addition(X_66,addition(X_65,addition(X_65,X_66)))) )],[refute_0_107,refute_0_113]) ).
cnf(refute_0_115,plain,
addition(one,multiplication(A,star(A))) = addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))),
inference(subst,[],[refute_0_114:[bind(X_65,$fot(one)),bind(X_66,$fot(multiplication(A,star(A))))]]) ).
cnf(refute_0_116,plain,
( addition(one,multiplication(A,star(A))) != addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A))))
| addition(one,multiplication(A,star(A))) != star(A)
| star(A) = addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(A,star(A))),addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A))))) ),[0],$fot(star(A))]]) ).
cnf(refute_0_117,plain,
( addition(one,multiplication(A,star(A))) != addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A))))
| star(A) = addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,star(A))),star(A)) )],[star_unfold1,refute_0_116]) ).
cnf(refute_0_118,plain,
star(A) = addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,star(A))),addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A))))) )],[refute_0_115,refute_0_117]) ).
cnf(refute_0_119,plain,
multiplication(addition(one,X_79),X_80) = addition(multiplication(one,X_80),multiplication(X_79,X_80)),
inference(subst,[],[distributivity2:[bind(A,$fot(one)),bind(B,$fot(X_79)),bind(C,$fot(X_80))]]) ).
cnf(refute_0_120,plain,
multiplication(one,X_80) = X_80,
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(X_80))]]) ).
cnf(refute_0_121,plain,
( multiplication(addition(one,X_79),X_80) != addition(multiplication(one,X_80),multiplication(X_79,X_80))
| multiplication(one,X_80) != X_80
| multiplication(addition(one,X_79),X_80) = addition(X_80,multiplication(X_79,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_79),X_80),addition(multiplication(one,X_80),multiplication(X_79,X_80))) ),[1,0],$fot(X_80)]]) ).
cnf(refute_0_122,plain,
( multiplication(addition(one,X_79),X_80) != addition(multiplication(one,X_80),multiplication(X_79,X_80))
| multiplication(addition(one,X_79),X_80) = addition(X_80,multiplication(X_79,X_80)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_80),X_80) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiplication(addition(one,X_79),X_80) = addition(X_80,multiplication(X_79,X_80)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_79),X_80),addition(multiplication(one,X_80),multiplication(X_79,X_80))) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
multiplication(addition(one,multiplication(addition(X_216,one),star(one))),X_80) = addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)),
inference(subst,[],[refute_0_123:[bind(X_79,$fot(multiplication(addition(X_216,one),star(one))))]]) ).
cnf(refute_0_125,plain,
addition(one,addition(star(one),X_66)) = addition(addition(one,star(one)),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(one)),bind(B,$fot(star(one))),bind(C,$fot(X_66))]]) ).
cnf(refute_0_126,plain,
addition(one,multiplication(one,star(one))) = star(one),
inference(subst,[],[star_unfold1:[bind(A,$fot(one))]]) ).
cnf(refute_0_127,plain,
multiplication(one,star(one)) = star(one),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(star(one)))]]) ).
cnf(refute_0_128,plain,
( addition(one,multiplication(one,star(one))) != star(one)
| multiplication(one,star(one)) != star(one)
| addition(one,star(one)) = star(one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(one,star(one))),star(one)) ),[0,1],$fot(star(one))]]) ).
cnf(refute_0_129,plain,
( addition(one,multiplication(one,star(one))) != star(one)
| addition(one,star(one)) = star(one) ),
inference(resolve,[$cnf( $equal(multiplication(one,star(one)),star(one)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(one,star(one)) = star(one),
inference(resolve,[$cnf( $equal(addition(one,multiplication(one,star(one))),star(one)) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
( addition(one,addition(star(one),X_66)) != addition(addition(one,star(one)),X_66)
| addition(one,star(one)) != star(one)
| addition(one,addition(star(one),X_66)) = addition(star(one),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(one),X_66)),addition(addition(one,star(one)),X_66)) ),[1,0],$fot(star(one))]]) ).
cnf(refute_0_132,plain,
( addition(one,addition(star(one),X_66)) != addition(addition(one,star(one)),X_66)
| addition(one,addition(star(one),X_66)) = addition(star(one),X_66) ),
inference(resolve,[$cnf( $equal(addition(one,star(one)),star(one)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
addition(one,addition(star(one),X_66)) = addition(star(one),X_66),
inference(resolve,[$cnf( $equal(addition(one,addition(star(one),X_66)),addition(addition(one,star(one)),X_66)) )],[refute_0_125,refute_0_132]) ).
cnf(refute_0_134,plain,
addition(one,addition(star(one),multiplication(X_81,star(one)))) = addition(star(one),multiplication(X_81,star(one))),
inference(subst,[],[refute_0_133:[bind(X_66,$fot(multiplication(X_81,star(one))))]]) ).
cnf(refute_0_135,plain,
multiplication(addition(X_78,one),X_80) = addition(multiplication(X_78,X_80),multiplication(one,X_80)),
inference(subst,[],[distributivity2:[bind(A,$fot(X_78)),bind(B,$fot(one)),bind(C,$fot(X_80))]]) ).
cnf(refute_0_136,plain,
( multiplication(addition(X_78,one),X_80) != addition(multiplication(X_78,X_80),multiplication(one,X_80))
| multiplication(one,X_80) != X_80
| multiplication(addition(X_78,one),X_80) = addition(multiplication(X_78,X_80),X_80) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_78,one),X_80),addition(multiplication(X_78,X_80),multiplication(one,X_80))) ),[1,1],$fot(X_80)]]) ).
cnf(refute_0_137,plain,
( multiplication(addition(X_78,one),X_80) != addition(multiplication(X_78,X_80),multiplication(one,X_80))
| multiplication(addition(X_78,one),X_80) = addition(multiplication(X_78,X_80),X_80) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_80),X_80) )],[refute_0_120,refute_0_136]) ).
cnf(refute_0_138,plain,
multiplication(addition(X_78,one),X_80) = addition(multiplication(X_78,X_80),X_80),
inference(resolve,[$cnf( $equal(multiplication(addition(X_78,one),X_80),addition(multiplication(X_78,X_80),multiplication(one,X_80))) )],[refute_0_135,refute_0_137]) ).
cnf(refute_0_139,plain,
addition(multiplication(X_78,X_80),X_80) = addition(X_80,multiplication(X_78,X_80)),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_80)),bind(B,$fot(multiplication(X_78,X_80)))]]) ).
cnf(refute_0_140,plain,
( addition(multiplication(X_78,X_80),X_80) != addition(X_80,multiplication(X_78,X_80))
| multiplication(addition(X_78,one),X_80) != addition(multiplication(X_78,X_80),X_80)
| multiplication(addition(X_78,one),X_80) = addition(X_80,multiplication(X_78,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_78,one),X_80),addition(multiplication(X_78,X_80),X_80)) ),[1],$fot(addition(X_80,multiplication(X_78,X_80)))]]) ).
cnf(refute_0_141,plain,
( multiplication(addition(X_78,one),X_80) != addition(multiplication(X_78,X_80),X_80)
| multiplication(addition(X_78,one),X_80) = addition(X_80,multiplication(X_78,X_80)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_78,X_80),X_80),addition(X_80,multiplication(X_78,X_80))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiplication(addition(X_78,one),X_80) = addition(X_80,multiplication(X_78,X_80)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_78,one),X_80),addition(multiplication(X_78,X_80),X_80)) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
multiplication(addition(X_81,one),star(one)) = addition(star(one),multiplication(X_81,star(one))),
inference(subst,[],[refute_0_142:[bind(X_78,$fot(X_81)),bind(X_80,$fot(star(one)))]]) ).
cnf(refute_0_144,plain,
( multiplication(addition(X_81,one),star(one)) != addition(star(one),multiplication(X_81,star(one)))
| addition(star(one),multiplication(X_81,star(one))) = multiplication(addition(X_81,one),star(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_81,one),star(one)))),bind(Y,$fot(addition(star(one),multiplication(X_81,star(one)))))]]) ).
cnf(refute_0_145,plain,
addition(star(one),multiplication(X_81,star(one))) = multiplication(addition(X_81,one),star(one)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_81,one),star(one)),addition(star(one),multiplication(X_81,star(one)))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
( addition(one,addition(star(one),multiplication(X_81,star(one)))) != addition(star(one),multiplication(X_81,star(one)))
| addition(star(one),multiplication(X_81,star(one))) != multiplication(addition(X_81,one),star(one))
| addition(one,multiplication(addition(X_81,one),star(one))) = addition(star(one),multiplication(X_81,star(one))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(one),multiplication(X_81,star(one)))),addition(star(one),multiplication(X_81,star(one)))) ),[0,1],$fot(multiplication(addition(X_81,one),star(one)))]]) ).
cnf(refute_0_147,plain,
( addition(one,addition(star(one),multiplication(X_81,star(one)))) != addition(star(one),multiplication(X_81,star(one)))
| addition(one,multiplication(addition(X_81,one),star(one))) = addition(star(one),multiplication(X_81,star(one))) ),
inference(resolve,[$cnf( $equal(addition(star(one),multiplication(X_81,star(one))),multiplication(addition(X_81,one),star(one))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
addition(one,multiplication(addition(X_81,one),star(one))) = addition(star(one),multiplication(X_81,star(one))),
inference(resolve,[$cnf( $equal(addition(one,addition(star(one),multiplication(X_81,star(one)))),addition(star(one),multiplication(X_81,star(one)))) )],[refute_0_134,refute_0_147]) ).
cnf(refute_0_149,plain,
( multiplication(addition(one,X_79),X_80) != addition(X_80,multiplication(X_79,X_80))
| addition(X_80,multiplication(X_79,X_80)) = multiplication(addition(one,X_79),X_80) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(one,X_79),X_80))),bind(Y,$fot(addition(X_80,multiplication(X_79,X_80))))]]) ).
cnf(refute_0_150,plain,
addition(X_80,multiplication(X_79,X_80)) = multiplication(addition(one,X_79),X_80),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_79),X_80),addition(X_80,multiplication(X_79,X_80))) )],[refute_0_123,refute_0_149]) ).
cnf(refute_0_151,plain,
addition(star(one),multiplication(X_81,star(one))) = multiplication(addition(one,X_81),star(one)),
inference(subst,[],[refute_0_150:[bind(X_79,$fot(X_81)),bind(X_80,$fot(star(one)))]]) ).
cnf(refute_0_152,plain,
( addition(one,multiplication(addition(X_81,one),star(one))) != addition(star(one),multiplication(X_81,star(one)))
| addition(star(one),multiplication(X_81,star(one))) != multiplication(addition(one,X_81),star(one))
| addition(one,multiplication(addition(X_81,one),star(one))) = multiplication(addition(one,X_81),star(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,multiplication(addition(X_81,one),star(one))),multiplication(addition(one,X_81),star(one))) ),[0],$fot(addition(star(one),multiplication(X_81,star(one))))]]) ).
cnf(refute_0_153,plain,
( addition(one,multiplication(addition(X_81,one),star(one))) != addition(star(one),multiplication(X_81,star(one)))
| addition(one,multiplication(addition(X_81,one),star(one))) = multiplication(addition(one,X_81),star(one)) ),
inference(resolve,[$cnf( $equal(addition(star(one),multiplication(X_81,star(one))),multiplication(addition(one,X_81),star(one))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
addition(one,multiplication(addition(X_81,one),star(one))) = multiplication(addition(one,X_81),star(one)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(addition(X_81,one),star(one))),addition(star(one),multiplication(X_81,star(one)))) )],[refute_0_148,refute_0_153]) ).
cnf(refute_0_155,plain,
addition(one,multiplication(addition(X_216,one),star(one))) = multiplication(addition(one,X_216),star(one)),
inference(subst,[],[refute_0_154:[bind(X_81,$fot(X_216))]]) ).
cnf(refute_0_156,plain,
( addition(one,multiplication(addition(X_216,one),star(one))) != multiplication(addition(one,X_216),star(one))
| multiplication(addition(one,multiplication(addition(X_216,one),star(one))),X_80) != addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))
| multiplication(multiplication(addition(one,X_216),star(one)),X_80) = addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,multiplication(addition(X_216,one),star(one))),X_80),addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))) ),[0,0],$fot(multiplication(addition(one,X_216),star(one)))]]) ).
cnf(refute_0_157,plain,
( multiplication(addition(one,multiplication(addition(X_216,one),star(one))),X_80) != addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))
| multiplication(multiplication(addition(one,X_216),star(one)),X_80) = addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(addition(X_216,one),star(one))),multiplication(addition(one,X_216),star(one))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
multiplication(multiplication(addition(one,X_216),star(one)),X_80) = addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,multiplication(addition(X_216,one),star(one))),X_80),addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))) )],[refute_0_124,refute_0_157]) ).
cnf(refute_0_159,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_160,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[multiplicative_associativity,refute_0_159]) ).
cnf(refute_0_161,plain,
multiplication(multiplication(addition(one,X_216),star(one)),X_80) = multiplication(addition(one,X_216),multiplication(star(one),X_80)),
inference(subst,[],[refute_0_160:[bind(A,$fot(addition(one,X_216))),bind(B,$fot(star(one))),bind(C,$fot(X_80))]]) ).
cnf(refute_0_162,plain,
( multiplication(multiplication(addition(one,X_216),star(one)),X_80) != addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))
| multiplication(multiplication(addition(one,X_216),star(one)),X_80) != multiplication(addition(one,X_216),multiplication(star(one),X_80))
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) = addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(addition(one,X_216),star(one)),X_80),addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))) ),[0],$fot(multiplication(addition(one,X_216),multiplication(star(one),X_80)))]]) ).
cnf(refute_0_163,plain,
( multiplication(multiplication(addition(one,X_216),star(one)),X_80) != addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) = addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(addition(one,X_216),star(one)),X_80),multiplication(addition(one,X_216),multiplication(star(one),X_80))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
multiplication(multiplication(addition(X_216,one),star(one)),X_80) = multiplication(addition(X_216,one),multiplication(star(one),X_80)),
inference(subst,[],[refute_0_160:[bind(A,$fot(addition(X_216,one))),bind(B,$fot(star(one))),bind(C,$fot(X_80))]]) ).
cnf(refute_0_165,plain,
addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) = addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)),
introduced(tautology,[refl,[$fot(addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)))]]) ).
cnf(refute_0_166,plain,
( addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) != addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))
| multiplication(multiplication(addition(X_216,one),star(one)),X_80) != multiplication(addition(X_216,one),multiplication(star(one),X_80))
| addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)),addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))) ),[1,1],$fot(multiplication(addition(X_216,one),multiplication(star(one),X_80)))]]) ).
cnf(refute_0_167,plain,
( multiplication(multiplication(addition(X_216,one),star(one)),X_80) != multiplication(addition(X_216,one),multiplication(star(one),X_80))
| addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) ),
inference(resolve,[$cnf( $equal(addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)),addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(addition(X_216,one),star(one)),X_80),multiplication(addition(X_216,one),multiplication(star(one),X_80))) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)) != addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) != addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_216),multiplication(star(one),X_80)),addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))) ),[1],$fot(addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))))]]) ).
cnf(refute_0_170,plain,
( multiplication(addition(one,X_216),multiplication(star(one),X_80)) != addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) ),
inference(resolve,[$cnf( $equal(addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80)),addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
( multiplication(multiplication(addition(one,X_216),star(one)),X_80) != addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),multiplication(star(one),X_80)),addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))) )],[refute_0_163,refute_0_170]) ).
cnf(refute_0_172,plain,
multiplication(addition(one,X_216),multiplication(star(one),X_80)) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(addition(one,X_216),star(one)),X_80),addition(X_80,multiplication(multiplication(addition(X_216,one),star(one)),X_80))) )],[refute_0_158,refute_0_171]) ).
cnf(refute_0_173,plain,
ifeq2(leq(star(one),one),true,addition(one,star(one)),one) = one,
inference(subst,[],[refute_0_9:[bind(X_21,$fot(star(one))),bind(X_22,$fot(one))]]) ).
cnf(refute_0_174,plain,
ifeq(leq(addition(multiplication(one,X_120),X_121),one),true,leq(multiplication(X_121,star(X_120)),one),true) = true,
inference(subst,[],[star_induction2:[bind(A,$fot(X_120)),bind(B,$fot(X_121)),bind(C,$fot(one))]]) ).
cnf(refute_0_175,plain,
multiplication(one,X_120) = X_120,
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(X_120))]]) ).
cnf(refute_0_176,plain,
( ifeq(leq(addition(multiplication(one,X_120),X_121),one),true,leq(multiplication(X_121,star(X_120)),one),true) != true
| multiplication(one,X_120) != X_120
| ifeq(leq(addition(X_120,X_121),one),true,leq(multiplication(X_121,star(X_120)),one),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(one,X_120),X_121),one),true,leq(multiplication(X_121,star(X_120)),one),true),true) ),[0,0,0,0],$fot(X_120)]]) ).
cnf(refute_0_177,plain,
( ifeq(leq(addition(multiplication(one,X_120),X_121),one),true,leq(multiplication(X_121,star(X_120)),one),true) != true
| ifeq(leq(addition(X_120,X_121),one),true,leq(multiplication(X_121,star(X_120)),one),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(one,X_120),X_120) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
ifeq(leq(addition(X_120,X_121),one),true,leq(multiplication(X_121,star(X_120)),one),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(one,X_120),X_121),one),true,leq(multiplication(X_121,star(X_120)),one),true),true) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
ifeq(leq(addition(X_287,one),one),true,leq(multiplication(one,star(X_287)),one),true) = true,
inference(subst,[],[refute_0_178:[bind(X_120,$fot(X_287)),bind(X_121,$fot(one))]]) ).
cnf(refute_0_180,plain,
multiplication(one,star(X_287)) = star(X_287),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(star(X_287)))]]) ).
cnf(refute_0_181,plain,
( ifeq(leq(addition(X_287,one),one),true,leq(multiplication(one,star(X_287)),one),true) != true
| multiplication(one,star(X_287)) != star(X_287)
| ifeq(leq(addition(X_287,one),one),true,leq(star(X_287),one),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(X_287,one),one),true,leq(multiplication(one,star(X_287)),one),true),true) ),[0,2,0],$fot(star(X_287))]]) ).
cnf(refute_0_182,plain,
( ifeq(leq(addition(X_287,one),one),true,leq(multiplication(one,star(X_287)),one),true) != true
| ifeq(leq(addition(X_287,one),one),true,leq(star(X_287),one),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(one,star(X_287)),star(X_287)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
ifeq(leq(addition(X_287,one),one),true,leq(star(X_287),one),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(X_287,one),one),true,leq(multiplication(one,star(X_287)),one),true),true) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
ifeq(leq(addition(one,one),one),true,leq(star(one),one),true) = true,
inference(subst,[],[refute_0_183:[bind(X_287,$fot(one))]]) ).
cnf(refute_0_185,plain,
addition(one,one) = one,
inference(subst,[],[idempotence:[bind(A,$fot(one))]]) ).
cnf(refute_0_186,plain,
( addition(one,one) != one
| ifeq(leq(addition(one,one),one),true,leq(star(one),one),true) != true
| ifeq(leq(one,one),true,leq(star(one),one),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,one),one),true,leq(star(one),one),true),true) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_187,plain,
( ifeq(leq(addition(one,one),one),true,leq(star(one),one),true) != true
| ifeq(leq(one,one),true,leq(star(one),one),true) = true ),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
ifeq(leq(one,one),true,leq(star(one),one),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,one),one),true,leq(star(one),one),true),true) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
ifeq(true,true,leq(star(one),one),true) = leq(star(one),one),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(star(one),one))),bind(C,$fot(true))]]) ).
cnf(refute_0_190,plain,
ifeq3(addition(X_26,X_26),X_26,leq(X_26,X_26),true) = true,
inference(subst,[],[order:[bind(A,$fot(X_26)),bind(B,$fot(X_26))]]) ).
cnf(refute_0_191,plain,
addition(X_26,X_26) = X_26,
inference(subst,[],[idempotence:[bind(A,$fot(X_26))]]) ).
cnf(refute_0_192,plain,
( addition(X_26,X_26) != X_26
| ifeq3(addition(X_26,X_26),X_26,leq(X_26,X_26),true) != true
| ifeq3(X_26,X_26,leq(X_26,X_26),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(X_26,X_26),X_26,leq(X_26,X_26),true),true) ),[0,0],$fot(X_26)]]) ).
cnf(refute_0_193,plain,
( ifeq3(addition(X_26,X_26),X_26,leq(X_26,X_26),true) != true
| ifeq3(X_26,X_26,leq(X_26,X_26),true) = true ),
inference(resolve,[$cnf( $equal(addition(X_26,X_26),X_26) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
ifeq3(X_26,X_26,leq(X_26,X_26),true) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(X_26,X_26),X_26,leq(X_26,X_26),true),true) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
ifeq3(X_26,X_26,leq(X_26,X_26),true) = leq(X_26,X_26),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(X_26)),bind(B,$fot(leq(X_26,X_26))),bind(C,$fot(true))]]) ).
cnf(refute_0_196,plain,
( ifeq3(X_26,X_26,leq(X_26,X_26),true) != leq(X_26,X_26)
| ifeq3(X_26,X_26,leq(X_26,X_26),true) != true
| leq(X_26,X_26) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(X_26,X_26,leq(X_26,X_26),true),true) ),[0],$fot(leq(X_26,X_26))]]) ).
cnf(refute_0_197,plain,
( ifeq3(X_26,X_26,leq(X_26,X_26),true) != true
| leq(X_26,X_26) = true ),
inference(resolve,[$cnf( $equal(ifeq3(X_26,X_26,leq(X_26,X_26),true),leq(X_26,X_26)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
leq(X_26,X_26) = true,
inference(resolve,[$cnf( $equal(ifeq3(X_26,X_26,leq(X_26,X_26),true),true) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
leq(one,one) = true,
inference(subst,[],[refute_0_198:[bind(X_26,$fot(one))]]) ).
cnf(refute_0_200,plain,
ifeq(leq(one,one),true,leq(star(one),one),true) = ifeq(leq(one,one),true,leq(star(one),one),true),
introduced(tautology,[refl,[$fot(ifeq(leq(one,one),true,leq(star(one),one),true))]]) ).
cnf(refute_0_201,plain,
( ifeq(leq(one,one),true,leq(star(one),one),true) != ifeq(leq(one,one),true,leq(star(one),one),true)
| leq(one,one) != true
| ifeq(leq(one,one),true,leq(star(one),one),true) = ifeq(true,true,leq(star(one),one),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(one,one),true,leq(star(one),one),true),ifeq(leq(one,one),true,leq(star(one),one),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_202,plain,
( leq(one,one) != true
| ifeq(leq(one,one),true,leq(star(one),one),true) = ifeq(true,true,leq(star(one),one),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(one,one),true,leq(star(one),one),true),ifeq(leq(one,one),true,leq(star(one),one),true)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
ifeq(leq(one,one),true,leq(star(one),one),true) = ifeq(true,true,leq(star(one),one),true),
inference(resolve,[$cnf( $equal(leq(one,one),true) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( ifeq(leq(one,one),true,leq(star(one),one),true) != ifeq(true,true,leq(star(one),one),true)
| ifeq(true,true,leq(star(one),one),true) != leq(star(one),one)
| ifeq(leq(one,one),true,leq(star(one),one),true) = leq(star(one),one) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(one,one),true,leq(star(one),one),true))),bind(Y,$fot(ifeq(true,true,leq(star(one),one),true))),bind(Z,$fot(leq(star(one),one)))]]) ).
cnf(refute_0_205,plain,
( ifeq(true,true,leq(star(one),one),true) != leq(star(one),one)
| ifeq(leq(one,one),true,leq(star(one),one),true) = leq(star(one),one) ),
inference(resolve,[$cnf( $equal(ifeq(leq(one,one),true,leq(star(one),one),true),ifeq(true,true,leq(star(one),one),true)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
ifeq(leq(one,one),true,leq(star(one),one),true) = leq(star(one),one),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(star(one),one),true),leq(star(one),one)) )],[refute_0_189,refute_0_205]) ).
cnf(refute_0_207,plain,
( ifeq(leq(one,one),true,leq(star(one),one),true) != leq(star(one),one)
| ifeq(leq(one,one),true,leq(star(one),one),true) != true
| leq(star(one),one) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(one,one),true,leq(star(one),one),true),true) ),[0],$fot(leq(star(one),one))]]) ).
cnf(refute_0_208,plain,
( ifeq(leq(one,one),true,leq(star(one),one),true) != true
| leq(star(one),one) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(one,one),true,leq(star(one),one),true),leq(star(one),one)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
leq(star(one),one) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(one,one),true,leq(star(one),one),true),true) )],[refute_0_188,refute_0_208]) ).
cnf(refute_0_210,plain,
( ifeq2(leq(star(one),one),true,addition(one,star(one)),one) != one
| leq(star(one),one) != true
| ifeq2(true,true,addition(one,star(one)),one) = one ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(star(one),one),true,addition(one,star(one)),one),one) ),[0,0],$fot(true)]]) ).
cnf(refute_0_211,plain,
( ifeq2(leq(star(one),one),true,addition(one,star(one)),one) != one
| ifeq2(true,true,addition(one,star(one)),one) = one ),
inference(resolve,[$cnf( $equal(leq(star(one),one),true) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
ifeq2(true,true,addition(one,star(one)),one) = one,
inference(resolve,[$cnf( $equal(ifeq2(leq(star(one),one),true,addition(one,star(one)),one),one) )],[refute_0_173,refute_0_211]) ).
cnf(refute_0_213,plain,
ifeq2(true,true,addition(one,star(one)),one) = addition(one,star(one)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(one,star(one)))),bind(C,$fot(one))]]) ).
cnf(refute_0_214,plain,
( addition(one,star(one)) != star(one)
| ifeq2(true,true,addition(one,star(one)),one) != addition(one,star(one))
| ifeq2(true,true,addition(one,star(one)),one) = star(one) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(one,star(one)),one))),bind(Y,$fot(addition(one,star(one)))),bind(Z,$fot(star(one)))]]) ).
cnf(refute_0_215,plain,
( addition(one,star(one)) != star(one)
| ifeq2(true,true,addition(one,star(one)),one) = star(one) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(one,star(one)),one),addition(one,star(one))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
ifeq2(true,true,addition(one,star(one)),one) = star(one),
inference(resolve,[$cnf( $equal(addition(one,star(one)),star(one)) )],[refute_0_130,refute_0_215]) ).
cnf(refute_0_217,plain,
( ifeq2(true,true,addition(one,star(one)),one) != one
| ifeq2(true,true,addition(one,star(one)),one) != star(one)
| star(one) = one ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(one,star(one)),one),one) ),[0],$fot(star(one))]]) ).
cnf(refute_0_218,plain,
( ifeq2(true,true,addition(one,star(one)),one) != one
| star(one) = one ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(one,star(one)),one),star(one)) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
star(one) = one,
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(one,star(one)),one),one) )],[refute_0_212,refute_0_218]) ).
cnf(refute_0_220,plain,
multiplication(star(one),X_80) = multiplication(star(one),X_80),
introduced(tautology,[refl,[$fot(multiplication(star(one),X_80))]]) ).
cnf(refute_0_221,plain,
( multiplication(star(one),X_80) != multiplication(star(one),X_80)
| star(one) != one
| multiplication(star(one),X_80) = multiplication(one,X_80) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),X_80),multiplication(star(one),X_80)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_222,plain,
( star(one) != one
| multiplication(star(one),X_80) = multiplication(one,X_80) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),X_80),multiplication(star(one),X_80)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
multiplication(star(one),X_80) = multiplication(one,X_80),
inference(resolve,[$cnf( $equal(star(one),one) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiplication(one,X_80) != X_80
| multiplication(star(one),X_80) != multiplication(one,X_80)
| multiplication(star(one),X_80) = X_80 ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(star(one),X_80))),bind(Y,$fot(multiplication(one,X_80))),bind(Z,$fot(X_80))]]) ).
cnf(refute_0_225,plain,
( multiplication(one,X_80) != X_80
| multiplication(star(one),X_80) = X_80 ),
inference(resolve,[$cnf( $equal(multiplication(star(one),X_80),multiplication(one,X_80)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiplication(star(one),X_80) = X_80,
inference(resolve,[$cnf( $equal(multiplication(one,X_80),X_80) )],[refute_0_120,refute_0_225]) ).
cnf(refute_0_227,plain,
multiplication(addition(one,X_216),multiplication(star(one),X_80)) = multiplication(addition(one,X_216),multiplication(star(one),X_80)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,X_216),multiplication(star(one),X_80)))]]) ).
cnf(refute_0_228,plain,
( multiplication(addition(one,X_216),multiplication(star(one),X_80)) != multiplication(addition(one,X_216),multiplication(star(one),X_80))
| multiplication(star(one),X_80) != X_80
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) = multiplication(addition(one,X_216),X_80) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_216),multiplication(star(one),X_80)),multiplication(addition(one,X_216),multiplication(star(one),X_80))) ),[1,1],$fot(X_80)]]) ).
cnf(refute_0_229,plain,
( multiplication(star(one),X_80) != X_80
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) = multiplication(addition(one,X_216),X_80) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),multiplication(star(one),X_80)),multiplication(addition(one,X_216),multiplication(star(one),X_80))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
multiplication(addition(one,X_216),multiplication(star(one),X_80)) = multiplication(addition(one,X_216),X_80),
inference(resolve,[$cnf( $equal(multiplication(star(one),X_80),X_80) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( multiplication(addition(one,X_216),multiplication(star(one),X_80)) != addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))
| multiplication(addition(one,X_216),multiplication(star(one),X_80)) != multiplication(addition(one,X_216),X_80)
| multiplication(addition(one,X_216),X_80) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_216),multiplication(star(one),X_80)),addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))) ),[0],$fot(multiplication(addition(one,X_216),X_80))]]) ).
cnf(refute_0_232,plain,
( multiplication(addition(one,X_216),multiplication(star(one),X_80)) != addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))
| multiplication(addition(one,X_216),X_80) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),multiplication(star(one),X_80)),multiplication(addition(one,X_216),X_80)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
addition(X_138,addition(X_138,multiplication(X_78,X_138))) = addition(X_138,multiplication(X_78,X_138)),
inference(subst,[],[refute_0_41:[bind(X_65,$fot(X_138)),bind(X_66,$fot(multiplication(X_78,X_138)))]]) ).
cnf(refute_0_234,plain,
multiplication(addition(X_78,one),X_138) = addition(X_138,multiplication(X_78,X_138)),
inference(subst,[],[refute_0_142:[bind(X_80,$fot(X_138))]]) ).
cnf(refute_0_235,plain,
( multiplication(addition(X_78,one),X_138) != addition(X_138,multiplication(X_78,X_138))
| addition(X_138,multiplication(X_78,X_138)) = multiplication(addition(X_78,one),X_138) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_78,one),X_138))),bind(Y,$fot(addition(X_138,multiplication(X_78,X_138))))]]) ).
cnf(refute_0_236,plain,
addition(X_138,multiplication(X_78,X_138)) = multiplication(addition(X_78,one),X_138),
inference(resolve,[$cnf( $equal(multiplication(addition(X_78,one),X_138),addition(X_138,multiplication(X_78,X_138))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
( addition(X_138,addition(X_138,multiplication(X_78,X_138))) != addition(X_138,multiplication(X_78,X_138))
| addition(X_138,multiplication(X_78,X_138)) != multiplication(addition(X_78,one),X_138)
| addition(X_138,multiplication(addition(X_78,one),X_138)) = addition(X_138,multiplication(X_78,X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_138,addition(X_138,multiplication(X_78,X_138))),addition(X_138,multiplication(X_78,X_138))) ),[0,1],$fot(multiplication(addition(X_78,one),X_138))]]) ).
cnf(refute_0_238,plain,
( addition(X_138,addition(X_138,multiplication(X_78,X_138))) != addition(X_138,multiplication(X_78,X_138))
| addition(X_138,multiplication(addition(X_78,one),X_138)) = addition(X_138,multiplication(X_78,X_138)) ),
inference(resolve,[$cnf( $equal(addition(X_138,multiplication(X_78,X_138)),multiplication(addition(X_78,one),X_138)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
addition(X_138,multiplication(addition(X_78,one),X_138)) = addition(X_138,multiplication(X_78,X_138)),
inference(resolve,[$cnf( $equal(addition(X_138,addition(X_138,multiplication(X_78,X_138))),addition(X_138,multiplication(X_78,X_138))) )],[refute_0_233,refute_0_238]) ).
cnf(refute_0_240,plain,
addition(X_80,multiplication(addition(X_216,one),X_80)) = addition(X_80,multiplication(X_216,X_80)),
inference(subst,[],[refute_0_239:[bind(X_138,$fot(X_80)),bind(X_78,$fot(X_216))]]) ).
cnf(refute_0_241,plain,
multiplication(addition(X_216,one),multiplication(star(one),X_80)) = multiplication(addition(X_216,one),multiplication(star(one),X_80)),
introduced(tautology,[refl,[$fot(multiplication(addition(X_216,one),multiplication(star(one),X_80)))]]) ).
cnf(refute_0_242,plain,
( multiplication(addition(X_216,one),multiplication(star(one),X_80)) != multiplication(addition(X_216,one),multiplication(star(one),X_80))
| multiplication(star(one),X_80) != X_80
| multiplication(addition(X_216,one),multiplication(star(one),X_80)) = multiplication(addition(X_216,one),X_80) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_216,one),multiplication(star(one),X_80)),multiplication(addition(X_216,one),multiplication(star(one),X_80))) ),[1,1],$fot(X_80)]]) ).
cnf(refute_0_243,plain,
( multiplication(star(one),X_80) != X_80
| multiplication(addition(X_216,one),multiplication(star(one),X_80)) = multiplication(addition(X_216,one),X_80) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_216,one),multiplication(star(one),X_80)),multiplication(addition(X_216,one),multiplication(star(one),X_80))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiplication(addition(X_216,one),multiplication(star(one),X_80)) = multiplication(addition(X_216,one),X_80),
inference(resolve,[$cnf( $equal(multiplication(star(one),X_80),X_80) )],[refute_0_226,refute_0_243]) ).
cnf(refute_0_245,plain,
addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) = addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))),
introduced(tautology,[refl,[$fot(addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))))]]) ).
cnf(refute_0_246,plain,
( addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) != addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))
| multiplication(addition(X_216,one),multiplication(star(one),X_80)) != multiplication(addition(X_216,one),X_80)
| addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) = addition(X_80,multiplication(addition(X_216,one),X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))),addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))) ),[1,1],$fot(multiplication(addition(X_216,one),X_80))]]) ).
cnf(refute_0_247,plain,
( multiplication(addition(X_216,one),multiplication(star(one),X_80)) != multiplication(addition(X_216,one),X_80)
| addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) = addition(X_80,multiplication(addition(X_216,one),X_80)) ),
inference(resolve,[$cnf( $equal(addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))),addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) = addition(X_80,multiplication(addition(X_216,one),X_80)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_216,one),multiplication(star(one),X_80)),multiplication(addition(X_216,one),X_80)) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
( addition(X_80,multiplication(addition(X_216,one),X_80)) != addition(X_80,multiplication(X_216,X_80))
| addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) != addition(X_80,multiplication(addition(X_216,one),X_80))
| addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) = addition(X_80,multiplication(X_216,X_80)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))))),bind(Y,$fot(addition(X_80,multiplication(addition(X_216,one),X_80)))),bind(Z,$fot(addition(X_80,multiplication(X_216,X_80))))]]) ).
cnf(refute_0_250,plain,
( addition(X_80,multiplication(addition(X_216,one),X_80)) != addition(X_80,multiplication(X_216,X_80))
| addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) = addition(X_80,multiplication(X_216,X_80)) ),
inference(resolve,[$cnf( $equal(addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))),addition(X_80,multiplication(addition(X_216,one),X_80))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) = addition(X_80,multiplication(X_216,X_80)),
inference(resolve,[$cnf( $equal(addition(X_80,multiplication(addition(X_216,one),X_80)),addition(X_80,multiplication(X_216,X_80))) )],[refute_0_240,refute_0_250]) ).
cnf(refute_0_252,plain,
( addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))) != addition(X_80,multiplication(X_216,X_80))
| multiplication(addition(one,X_216),X_80) != addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))
| multiplication(addition(one,X_216),X_80) = addition(X_80,multiplication(X_216,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_216),X_80),addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))) ),[1],$fot(addition(X_80,multiplication(X_216,X_80)))]]) ).
cnf(refute_0_253,plain,
( multiplication(addition(one,X_216),X_80) != addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))
| multiplication(addition(one,X_216),X_80) = addition(X_80,multiplication(X_216,X_80)) ),
inference(resolve,[$cnf( $equal(addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80))),addition(X_80,multiplication(X_216,X_80))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( multiplication(addition(one,X_216),multiplication(star(one),X_80)) != addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))
| multiplication(addition(one,X_216),X_80) = addition(X_80,multiplication(X_216,X_80)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),X_80),addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))) )],[refute_0_232,refute_0_253]) ).
cnf(refute_0_255,plain,
multiplication(addition(one,X_216),X_80) = addition(X_80,multiplication(X_216,X_80)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),multiplication(star(one),X_80)),addition(X_80,multiplication(addition(X_216,one),multiplication(star(one),X_80)))) )],[refute_0_172,refute_0_254]) ).
cnf(refute_0_256,plain,
( multiplication(addition(one,X_216),X_80) != addition(X_80,multiplication(X_216,X_80))
| addition(X_80,multiplication(X_216,X_80)) = multiplication(addition(one,X_216),X_80) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(one,X_216),X_80))),bind(Y,$fot(addition(X_80,multiplication(X_216,X_80))))]]) ).
cnf(refute_0_257,plain,
addition(X_80,multiplication(X_216,X_80)) = multiplication(addition(one,X_216),X_80),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),X_80),addition(X_80,multiplication(X_216,X_80))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
addition(star(A),multiplication(A,star(A))) = multiplication(addition(one,A),star(A)),
inference(subst,[],[refute_0_257:[bind(X_216,$fot(A)),bind(X_80,$fot(star(A)))]]) ).
cnf(refute_0_259,plain,
addition(A,addition(one,multiplication(star(one),star(X_206)))) = addition(one,addition(multiplication(star(one),star(X_206)),A)),
inference(subst,[],[refute_0_94:[bind(X_64,$fot(one)),bind(X_65,$fot(multiplication(star(one),star(X_206))))]]) ).
cnf(refute_0_260,plain,
addition(one,addition(star(one),multiplication(star(one),X_32))) = addition(star(one),multiplication(star(one),X_32)),
inference(subst,[],[refute_0_133:[bind(X_66,$fot(multiplication(star(one),X_32)))]]) ).
cnf(refute_0_261,plain,
multiplication(star(one),addition(one,X_32)) = addition(star(one),multiplication(star(one),X_32)),
inference(subst,[],[refute_0_32:[bind(X_30,$fot(star(one)))]]) ).
cnf(refute_0_262,plain,
( multiplication(star(one),addition(one,X_32)) != addition(star(one),multiplication(star(one),X_32))
| addition(star(one),multiplication(star(one),X_32)) = multiplication(star(one),addition(one,X_32)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(star(one),addition(one,X_32)))),bind(Y,$fot(addition(star(one),multiplication(star(one),X_32))))]]) ).
cnf(refute_0_263,plain,
addition(star(one),multiplication(star(one),X_32)) = multiplication(star(one),addition(one,X_32)),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(one,X_32)),addition(star(one),multiplication(star(one),X_32))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
( addition(one,addition(star(one),multiplication(star(one),X_32))) != addition(star(one),multiplication(star(one),X_32))
| addition(star(one),multiplication(star(one),X_32)) != multiplication(star(one),addition(one,X_32))
| addition(one,multiplication(star(one),addition(one,X_32))) = addition(star(one),multiplication(star(one),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(one),multiplication(star(one),X_32))),addition(star(one),multiplication(star(one),X_32))) ),[0,1],$fot(multiplication(star(one),addition(one,X_32)))]]) ).
cnf(refute_0_265,plain,
( addition(one,addition(star(one),multiplication(star(one),X_32))) != addition(star(one),multiplication(star(one),X_32))
| addition(one,multiplication(star(one),addition(one,X_32))) = addition(star(one),multiplication(star(one),X_32)) ),
inference(resolve,[$cnf( $equal(addition(star(one),multiplication(star(one),X_32)),multiplication(star(one),addition(one,X_32))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
addition(one,multiplication(star(one),addition(one,X_32))) = addition(star(one),multiplication(star(one),X_32)),
inference(resolve,[$cnf( $equal(addition(one,addition(star(one),multiplication(star(one),X_32))),addition(star(one),multiplication(star(one),X_32))) )],[refute_0_260,refute_0_265]) ).
cnf(refute_0_267,plain,
multiplication(X_57,addition(X_31,one)) = addition(X_57,multiplication(X_57,X_31)),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(X_57))]]) ).
cnf(refute_0_268,plain,
( multiplication(X_57,addition(X_31,one)) != addition(X_57,multiplication(X_57,X_31))
| addition(X_57,multiplication(X_57,X_31)) = multiplication(X_57,addition(X_31,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_57,addition(X_31,one)))),bind(Y,$fot(addition(X_57,multiplication(X_57,X_31))))]]) ).
cnf(refute_0_269,plain,
addition(X_57,multiplication(X_57,X_31)) = multiplication(X_57,addition(X_31,one)),
inference(resolve,[$cnf( $equal(multiplication(X_57,addition(X_31,one)),addition(X_57,multiplication(X_57,X_31))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
addition(star(one),multiplication(star(one),X_32)) = multiplication(star(one),addition(X_32,one)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(X_32)),bind(X_57,$fot(star(one)))]]) ).
cnf(refute_0_271,plain,
( addition(one,multiplication(star(one),addition(one,X_32))) != addition(star(one),multiplication(star(one),X_32))
| addition(star(one),multiplication(star(one),X_32)) != multiplication(star(one),addition(X_32,one))
| addition(one,multiplication(star(one),addition(one,X_32))) = multiplication(star(one),addition(X_32,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,multiplication(star(one),addition(one,X_32))),multiplication(star(one),addition(X_32,one))) ),[0],$fot(addition(star(one),multiplication(star(one),X_32)))]]) ).
cnf(refute_0_272,plain,
( addition(one,multiplication(star(one),addition(one,X_32))) != addition(star(one),multiplication(star(one),X_32))
| addition(one,multiplication(star(one),addition(one,X_32))) = multiplication(star(one),addition(X_32,one)) ),
inference(resolve,[$cnf( $equal(addition(star(one),multiplication(star(one),X_32)),multiplication(star(one),addition(X_32,one))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
addition(one,multiplication(star(one),addition(one,X_32))) = multiplication(star(one),addition(X_32,one)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(one),addition(one,X_32))),addition(star(one),multiplication(star(one),X_32))) )],[refute_0_266,refute_0_272]) ).
cnf(refute_0_274,plain,
addition(one,multiplication(star(one),addition(one,multiplication(star(A),A)))) = multiplication(star(one),addition(multiplication(star(A),A),one)),
inference(subst,[],[refute_0_273:[bind(X_32,$fot(multiplication(star(A),A)))]]) ).
cnf(refute_0_275,plain,
( addition(one,multiplication(star(A),A)) != star(A)
| addition(one,multiplication(star(one),addition(one,multiplication(star(A),A)))) != multiplication(star(one),addition(multiplication(star(A),A),one))
| addition(one,multiplication(star(one),star(A))) = multiplication(star(one),addition(multiplication(star(A),A),one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(star(one),addition(one,multiplication(star(A),A)))),multiplication(star(one),addition(multiplication(star(A),A),one))) ),[0,1,1],$fot(star(A))]]) ).
cnf(refute_0_276,plain,
( addition(one,multiplication(star(one),addition(one,multiplication(star(A),A)))) != multiplication(star(one),addition(multiplication(star(A),A),one))
| addition(one,multiplication(star(one),star(A))) = multiplication(star(one),addition(multiplication(star(A),A),one)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(A),A)),star(A)) )],[star_unfold2,refute_0_275]) ).
cnf(refute_0_277,plain,
addition(one,multiplication(star(one),star(A))) = multiplication(star(one),addition(multiplication(star(A),A),one)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(one),addition(one,multiplication(star(A),A)))),multiplication(star(one),addition(multiplication(star(A),A),one))) )],[refute_0_274,refute_0_276]) ).
cnf(refute_0_278,plain,
multiplication(star(one),addition(one,multiplication(star(A),A))) = multiplication(star(one),addition(one,multiplication(star(A),A))),
introduced(tautology,[refl,[$fot(multiplication(star(one),addition(one,multiplication(star(A),A))))]]) ).
cnf(refute_0_279,plain,
( addition(one,multiplication(star(A),A)) != star(A)
| multiplication(star(one),addition(one,multiplication(star(A),A))) != multiplication(star(one),addition(one,multiplication(star(A),A)))
| multiplication(star(one),addition(one,multiplication(star(A),A))) = multiplication(star(one),star(A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),addition(one,multiplication(star(A),A))),multiplication(star(one),addition(one,multiplication(star(A),A)))) ),[1,1],$fot(star(A))]]) ).
cnf(refute_0_280,plain,
( addition(one,multiplication(star(A),A)) != star(A)
| multiplication(star(one),addition(one,multiplication(star(A),A))) = multiplication(star(one),star(A)) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(one,multiplication(star(A),A))),multiplication(star(one),addition(one,multiplication(star(A),A)))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiplication(star(one),addition(one,multiplication(star(A),A))) = multiplication(star(one),star(A)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(A),A)),star(A)) )],[star_unfold2,refute_0_280]) ).
cnf(refute_0_282,plain,
ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,addition(one,multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(one,X_149)),
inference(subst,[],[order_1:[bind(A,$fot(one)),bind(B,$fot(multiplication(star(one),addition(one,X_149))))]]) ).
cnf(refute_0_283,plain,
addition(one,multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(X_149,one)),
inference(subst,[],[refute_0_273:[bind(X_32,$fot(X_149))]]) ).
cnf(refute_0_284,plain,
( addition(one,multiplication(star(one),addition(one,X_149))) != multiplication(star(one),addition(X_149,one))
| ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,addition(one,multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))) != multiplication(star(one),addition(one,X_149))
| ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(one,X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,addition(one,multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))) ),[0,2],$fot(multiplication(star(one),addition(X_149,one)))]]) ).
cnf(refute_0_285,plain,
( ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,addition(one,multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))) != multiplication(star(one),addition(one,X_149))
| ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(one,X_149)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(X_149,one))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(one,X_149)),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,addition(one,multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(X_149,one)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(multiplication(star(one),addition(X_149,one)))),bind(C,$fot(multiplication(star(one),addition(one,X_149))))]]) ).
cnf(refute_0_288,plain,
ifeq3(addition(one,addition(star(one),X_67)),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) = true,
inference(subst,[],[order:[bind(A,$fot(one)),bind(B,$fot(addition(star(one),X_67)))]]) ).
cnf(refute_0_289,plain,
addition(one,addition(star(one),X_67)) = addition(star(one),X_67),
inference(subst,[],[refute_0_133:[bind(X_66,$fot(X_67))]]) ).
cnf(refute_0_290,plain,
( addition(one,addition(star(one),X_67)) != addition(star(one),X_67)
| ifeq3(addition(one,addition(star(one),X_67)),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) != true
| ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(one,addition(star(one),X_67)),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true),true) ),[0,0],$fot(addition(star(one),X_67))]]) ).
cnf(refute_0_291,plain,
( ifeq3(addition(one,addition(star(one),X_67)),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) != true
| ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) = true ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(one),X_67)),addition(star(one),X_67)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(one,addition(star(one),X_67)),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true),true) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) = leq(one,addition(star(one),X_67)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(addition(star(one),X_67))),bind(B,$fot(leq(one,addition(star(one),X_67)))),bind(C,$fot(true))]]) ).
cnf(refute_0_294,plain,
( ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) != leq(one,addition(star(one),X_67))
| ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) != true
| leq(one,addition(star(one),X_67)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true),true) ),[0],$fot(leq(one,addition(star(one),X_67)))]]) ).
cnf(refute_0_295,plain,
( ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true) != true
| leq(one,addition(star(one),X_67)) = true ),
inference(resolve,[$cnf( $equal(ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true),leq(one,addition(star(one),X_67))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
leq(one,addition(star(one),X_67)) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(star(one),X_67),addition(star(one),X_67),leq(one,addition(star(one),X_67)),true),true) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
leq(one,addition(star(one),multiplication(star(one),X_32))) = true,
inference(subst,[],[refute_0_296:[bind(X_67,$fot(multiplication(star(one),X_32)))]]) ).
cnf(refute_0_298,plain,
( addition(star(one),multiplication(star(one),X_32)) != multiplication(star(one),addition(one,X_32))
| leq(one,addition(star(one),multiplication(star(one),X_32))) != true
| leq(one,multiplication(star(one),addition(one,X_32))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(one,addition(star(one),multiplication(star(one),X_32))),true) ),[0,1],$fot(multiplication(star(one),addition(one,X_32)))]]) ).
cnf(refute_0_299,plain,
( leq(one,addition(star(one),multiplication(star(one),X_32))) != true
| leq(one,multiplication(star(one),addition(one,X_32))) = true ),
inference(resolve,[$cnf( $equal(addition(star(one),multiplication(star(one),X_32)),multiplication(star(one),addition(one,X_32))) )],[refute_0_263,refute_0_298]) ).
cnf(refute_0_300,plain,
leq(one,multiplication(star(one),addition(one,X_32))) = true,
inference(resolve,[$cnf( $equal(leq(one,addition(star(one),multiplication(star(one),X_32))),true) )],[refute_0_297,refute_0_299]) ).
cnf(refute_0_301,plain,
leq(one,multiplication(star(one),addition(one,X_149))) = true,
inference(subst,[],[refute_0_300:[bind(X_32,$fot(X_149))]]) ).
cnf(refute_0_302,plain,
ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),
introduced(tautology,[refl,[$fot(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))))]]) ).
cnf(refute_0_303,plain,
( ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) != ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149)))
| leq(one,multiplication(star(one),addition(one,X_149))) != true
| ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149)))) ),[1,0],$fot(true)]]) ).
cnf(refute_0_304,plain,
( leq(one,multiplication(star(one),addition(one,X_149))) != true
| ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149)))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),
inference(resolve,[$cnf( $equal(leq(one,multiplication(star(one),addition(one,X_149))),true) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
( ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) != ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149)))
| ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) != multiplication(star(one),addition(X_149,one))
| ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(X_149,one)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))))),bind(Y,$fot(ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))))),bind(Z,$fot(multiplication(star(one),addition(X_149,one))))]]) ).
cnf(refute_0_307,plain,
( ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) != multiplication(star(one),addition(X_149,one))
| ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(X_149,one)) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149)))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) = multiplication(star(one),addition(X_149,one)),
inference(resolve,[$cnf( $equal(ifeq2(true,true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(X_149,one))) )],[refute_0_287,refute_0_307]) ).
cnf(refute_0_309,plain,
( ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) != multiplication(star(one),addition(X_149,one))
| ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) != multiplication(star(one),addition(one,X_149))
| multiplication(star(one),addition(X_149,one)) = multiplication(star(one),addition(one,X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))) ),[0],$fot(multiplication(star(one),addition(X_149,one)))]]) ).
cnf(refute_0_310,plain,
( ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))) != multiplication(star(one),addition(one,X_149))
| multiplication(star(one),addition(X_149,one)) = multiplication(star(one),addition(one,X_149)) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(X_149,one))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
multiplication(star(one),addition(X_149,one)) = multiplication(star(one),addition(one,X_149)),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),addition(one,X_149))),true,multiplication(star(one),addition(X_149,one)),multiplication(star(one),addition(one,X_149))),multiplication(star(one),addition(one,X_149))) )],[refute_0_286,refute_0_310]) ).
cnf(refute_0_312,plain,
multiplication(star(one),addition(multiplication(star(A),A),one)) = multiplication(star(one),addition(one,multiplication(star(A),A))),
inference(subst,[],[refute_0_311:[bind(X_149,$fot(multiplication(star(A),A)))]]) ).
cnf(refute_0_313,plain,
( multiplication(star(one),addition(multiplication(star(A),A),one)) != multiplication(star(one),addition(one,multiplication(star(A),A)))
| multiplication(star(one),addition(one,multiplication(star(A),A))) != multiplication(star(one),star(A))
| multiplication(star(one),addition(multiplication(star(A),A),one)) = multiplication(star(one),star(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(star(one),addition(multiplication(star(A),A),one)))),bind(Y,$fot(multiplication(star(one),addition(one,multiplication(star(A),A))))),bind(Z,$fot(multiplication(star(one),star(A))))]]) ).
cnf(refute_0_314,plain,
( multiplication(star(one),addition(one,multiplication(star(A),A))) != multiplication(star(one),star(A))
| multiplication(star(one),addition(multiplication(star(A),A),one)) = multiplication(star(one),star(A)) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(multiplication(star(A),A),one)),multiplication(star(one),addition(one,multiplication(star(A),A)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
multiplication(star(one),addition(multiplication(star(A),A),one)) = multiplication(star(one),star(A)),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(one,multiplication(star(A),A))),multiplication(star(one),star(A))) )],[refute_0_281,refute_0_314]) ).
cnf(refute_0_316,plain,
( addition(one,multiplication(star(one),star(A))) != multiplication(star(one),addition(multiplication(star(A),A),one))
| multiplication(star(one),addition(multiplication(star(A),A),one)) != multiplication(star(one),star(A))
| addition(one,multiplication(star(one),star(A))) = multiplication(star(one),star(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,multiplication(star(one),star(A))),multiplication(star(one),star(A))) ),[0],$fot(multiplication(star(one),addition(multiplication(star(A),A),one)))]]) ).
cnf(refute_0_317,plain,
( addition(one,multiplication(star(one),star(A))) != multiplication(star(one),addition(multiplication(star(A),A),one))
| addition(one,multiplication(star(one),star(A))) = multiplication(star(one),star(A)) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(multiplication(star(A),A),one)),multiplication(star(one),star(A))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
addition(one,multiplication(star(one),star(A))) = multiplication(star(one),star(A)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(one),star(A))),multiplication(star(one),addition(multiplication(star(A),A),one))) )],[refute_0_277,refute_0_317]) ).
cnf(refute_0_319,plain,
addition(one,multiplication(star(one),star(X_206))) = multiplication(star(one),star(X_206)),
inference(subst,[],[refute_0_318:[bind(A,$fot(X_206))]]) ).
cnf(refute_0_320,plain,
( addition(A,addition(one,multiplication(star(one),star(X_206)))) != addition(one,addition(multiplication(star(one),star(X_206)),A))
| addition(one,multiplication(star(one),star(X_206))) != multiplication(star(one),star(X_206))
| addition(A,multiplication(star(one),star(X_206))) = addition(one,addition(multiplication(star(one),star(X_206)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(one,multiplication(star(one),star(X_206)))),addition(one,addition(multiplication(star(one),star(X_206)),A))) ),[0,1],$fot(multiplication(star(one),star(X_206)))]]) ).
cnf(refute_0_321,plain,
( addition(A,addition(one,multiplication(star(one),star(X_206)))) != addition(one,addition(multiplication(star(one),star(X_206)),A))
| addition(A,multiplication(star(one),star(X_206))) = addition(one,addition(multiplication(star(one),star(X_206)),A)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(one),star(X_206))),multiplication(star(one),star(X_206))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
addition(A,multiplication(star(one),star(X_206))) = addition(one,addition(multiplication(star(one),star(X_206)),A)),
inference(resolve,[$cnf( $equal(addition(A,addition(one,multiplication(star(one),star(X_206)))),addition(one,addition(multiplication(star(one),star(X_206)),A))) )],[refute_0_259,refute_0_321]) ).
cnf(refute_0_323,plain,
multiplication(one,star(X_206)) = star(X_206),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(star(X_206)))]]) ).
cnf(refute_0_324,plain,
multiplication(star(one),star(X_206)) = multiplication(star(one),star(X_206)),
introduced(tautology,[refl,[$fot(multiplication(star(one),star(X_206)))]]) ).
cnf(refute_0_325,plain,
( multiplication(star(one),star(X_206)) != multiplication(star(one),star(X_206))
| star(one) != one
| multiplication(star(one),star(X_206)) = multiplication(one,star(X_206)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),star(X_206)),multiplication(star(one),star(X_206))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_326,plain,
( star(one) != one
| multiplication(star(one),star(X_206)) = multiplication(one,star(X_206)) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),star(X_206)),multiplication(star(one),star(X_206))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
multiplication(star(one),star(X_206)) = multiplication(one,star(X_206)),
inference(resolve,[$cnf( $equal(star(one),one) )],[refute_0_219,refute_0_326]) ).
cnf(refute_0_328,plain,
( multiplication(one,star(X_206)) != star(X_206)
| multiplication(star(one),star(X_206)) != multiplication(one,star(X_206))
| multiplication(star(one),star(X_206)) = star(X_206) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(star(one),star(X_206)))),bind(Y,$fot(multiplication(one,star(X_206)))),bind(Z,$fot(star(X_206)))]]) ).
cnf(refute_0_329,plain,
( multiplication(one,star(X_206)) != star(X_206)
| multiplication(star(one),star(X_206)) = star(X_206) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),star(X_206)),multiplication(one,star(X_206))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiplication(star(one),star(X_206)) = star(X_206),
inference(resolve,[$cnf( $equal(multiplication(one,star(X_206)),star(X_206)) )],[refute_0_323,refute_0_329]) ).
cnf(refute_0_331,plain,
addition(A,multiplication(star(one),star(X_206))) = addition(A,multiplication(star(one),star(X_206))),
introduced(tautology,[refl,[$fot(addition(A,multiplication(star(one),star(X_206))))]]) ).
cnf(refute_0_332,plain,
( addition(A,multiplication(star(one),star(X_206))) != addition(A,multiplication(star(one),star(X_206)))
| multiplication(star(one),star(X_206)) != star(X_206)
| addition(A,multiplication(star(one),star(X_206))) = addition(A,star(X_206)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,multiplication(star(one),star(X_206))),addition(A,multiplication(star(one),star(X_206)))) ),[1,1],$fot(star(X_206))]]) ).
cnf(refute_0_333,plain,
( multiplication(star(one),star(X_206)) != star(X_206)
| addition(A,multiplication(star(one),star(X_206))) = addition(A,star(X_206)) ),
inference(resolve,[$cnf( $equal(addition(A,multiplication(star(one),star(X_206))),addition(A,multiplication(star(one),star(X_206)))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
addition(A,multiplication(star(one),star(X_206))) = addition(A,star(X_206)),
inference(resolve,[$cnf( $equal(multiplication(star(one),star(X_206)),star(X_206)) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
( addition(A,multiplication(star(one),star(X_206))) != addition(A,star(X_206))
| addition(A,multiplication(star(one),star(X_206))) != addition(one,addition(multiplication(star(one),star(X_206)),A))
| addition(A,star(X_206)) = addition(one,addition(multiplication(star(one),star(X_206)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,multiplication(star(one),star(X_206))),addition(one,addition(multiplication(star(one),star(X_206)),A))) ),[0],$fot(addition(A,star(X_206)))]]) ).
cnf(refute_0_336,plain,
( addition(A,multiplication(star(one),star(X_206))) != addition(one,addition(multiplication(star(one),star(X_206)),A))
| addition(A,star(X_206)) = addition(one,addition(multiplication(star(one),star(X_206)),A)) ),
inference(resolve,[$cnf( $equal(addition(A,multiplication(star(one),star(X_206))),addition(A,star(X_206))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
addition(one,addition(star(X_147),C)) = addition(addition(one,star(X_147)),C),
inference(subst,[],[additive_associativity:[bind(A,$fot(one)),bind(B,$fot(star(X_147)))]]) ).
cnf(refute_0_338,plain,
addition(one,addition(one,multiplication(star(A),A))) = addition(one,multiplication(star(A),A)),
inference(subst,[],[refute_0_41:[bind(X_65,$fot(one)),bind(X_66,$fot(multiplication(star(A),A)))]]) ).
cnf(refute_0_339,plain,
( addition(one,addition(one,multiplication(star(A),A))) != addition(one,multiplication(star(A),A))
| addition(one,multiplication(star(A),A)) != star(A)
| addition(one,star(A)) = addition(one,multiplication(star(A),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(one,multiplication(star(A),A))),addition(one,multiplication(star(A),A))) ),[0,1],$fot(star(A))]]) ).
cnf(refute_0_340,plain,
( addition(one,addition(one,multiplication(star(A),A))) != addition(one,multiplication(star(A),A))
| addition(one,star(A)) = addition(one,multiplication(star(A),A)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(A),A)),star(A)) )],[star_unfold2,refute_0_339]) ).
cnf(refute_0_341,plain,
addition(one,star(A)) = addition(one,multiplication(star(A),A)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,multiplication(star(A),A))),addition(one,multiplication(star(A),A))) )],[refute_0_338,refute_0_340]) ).
cnf(refute_0_342,plain,
( addition(one,multiplication(star(A),A)) != star(A)
| addition(one,star(A)) != addition(one,multiplication(star(A),A))
| addition(one,star(A)) = star(A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,star(A)),addition(one,multiplication(star(A),A))) ),[1],$fot(star(A))]]) ).
cnf(refute_0_343,plain,
( addition(one,star(A)) != addition(one,multiplication(star(A),A))
| addition(one,star(A)) = star(A) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(A),A)),star(A)) )],[star_unfold2,refute_0_342]) ).
cnf(refute_0_344,plain,
addition(one,star(A)) = star(A),
inference(resolve,[$cnf( $equal(addition(one,star(A)),addition(one,multiplication(star(A),A))) )],[refute_0_341,refute_0_343]) ).
cnf(refute_0_345,plain,
addition(one,star(X_147)) = star(X_147),
inference(subst,[],[refute_0_344:[bind(A,$fot(X_147))]]) ).
cnf(refute_0_346,plain,
( addition(one,addition(star(X_147),C)) != addition(addition(one,star(X_147)),C)
| addition(one,star(X_147)) != star(X_147)
| addition(one,addition(star(X_147),C)) = addition(star(X_147),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(X_147),C)),addition(addition(one,star(X_147)),C)) ),[1,0],$fot(star(X_147))]]) ).
cnf(refute_0_347,plain,
( addition(one,addition(star(X_147),C)) != addition(addition(one,star(X_147)),C)
| addition(one,addition(star(X_147),C)) = addition(star(X_147),C) ),
inference(resolve,[$cnf( $equal(addition(one,star(X_147)),star(X_147)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
addition(one,addition(star(X_147),C)) = addition(star(X_147),C),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_147),C)),addition(addition(one,star(X_147)),C)) )],[refute_0_337,refute_0_347]) ).
cnf(refute_0_349,plain,
addition(one,addition(star(X_206),A)) = addition(star(X_206),A),
inference(subst,[],[refute_0_348:[bind(C,$fot(A)),bind(X_147,$fot(X_206))]]) ).
cnf(refute_0_350,plain,
addition(multiplication(star(one),star(X_206)),A) = addition(multiplication(star(one),star(X_206)),A),
introduced(tautology,[refl,[$fot(addition(multiplication(star(one),star(X_206)),A))]]) ).
cnf(refute_0_351,plain,
( addition(multiplication(star(one),star(X_206)),A) != addition(multiplication(star(one),star(X_206)),A)
| multiplication(star(one),star(X_206)) != star(X_206)
| addition(multiplication(star(one),star(X_206)),A) = addition(star(X_206),A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(star(one),star(X_206)),A),addition(multiplication(star(one),star(X_206)),A)) ),[1,0],$fot(star(X_206))]]) ).
cnf(refute_0_352,plain,
( multiplication(star(one),star(X_206)) != star(X_206)
| addition(multiplication(star(one),star(X_206)),A) = addition(star(X_206),A) ),
inference(resolve,[$cnf( $equal(addition(multiplication(star(one),star(X_206)),A),addition(multiplication(star(one),star(X_206)),A)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
addition(multiplication(star(one),star(X_206)),A) = addition(star(X_206),A),
inference(resolve,[$cnf( $equal(multiplication(star(one),star(X_206)),star(X_206)) )],[refute_0_330,refute_0_352]) ).
cnf(refute_0_354,plain,
addition(one,addition(multiplication(star(one),star(X_206)),A)) = addition(one,addition(multiplication(star(one),star(X_206)),A)),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(star(one),star(X_206)),A)))]]) ).
cnf(refute_0_355,plain,
( addition(multiplication(star(one),star(X_206)),A) != addition(star(X_206),A)
| addition(one,addition(multiplication(star(one),star(X_206)),A)) != addition(one,addition(multiplication(star(one),star(X_206)),A))
| addition(one,addition(multiplication(star(one),star(X_206)),A)) = addition(one,addition(star(X_206),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(star(one),star(X_206)),A)),addition(one,addition(multiplication(star(one),star(X_206)),A))) ),[1,1],$fot(addition(star(X_206),A))]]) ).
cnf(refute_0_356,plain,
( addition(multiplication(star(one),star(X_206)),A) != addition(star(X_206),A)
| addition(one,addition(multiplication(star(one),star(X_206)),A)) = addition(one,addition(star(X_206),A)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(one),star(X_206)),A)),addition(one,addition(multiplication(star(one),star(X_206)),A))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
addition(one,addition(multiplication(star(one),star(X_206)),A)) = addition(one,addition(star(X_206),A)),
inference(resolve,[$cnf( $equal(addition(multiplication(star(one),star(X_206)),A),addition(star(X_206),A)) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
( addition(one,addition(multiplication(star(one),star(X_206)),A)) != addition(one,addition(star(X_206),A))
| addition(one,addition(star(X_206),A)) != addition(star(X_206),A)
| addition(one,addition(multiplication(star(one),star(X_206)),A)) = addition(star(X_206),A) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(one,addition(multiplication(star(one),star(X_206)),A)))),bind(Y,$fot(addition(one,addition(star(X_206),A)))),bind(Z,$fot(addition(star(X_206),A)))]]) ).
cnf(refute_0_359,plain,
( addition(one,addition(star(X_206),A)) != addition(star(X_206),A)
| addition(one,addition(multiplication(star(one),star(X_206)),A)) = addition(star(X_206),A) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(one),star(X_206)),A)),addition(one,addition(star(X_206),A))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
addition(one,addition(multiplication(star(one),star(X_206)),A)) = addition(star(X_206),A),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_206),A)),addition(star(X_206),A)) )],[refute_0_349,refute_0_359]) ).
cnf(refute_0_361,plain,
( addition(A,star(X_206)) != addition(one,addition(multiplication(star(one),star(X_206)),A))
| addition(one,addition(multiplication(star(one),star(X_206)),A)) != addition(star(X_206),A)
| addition(A,star(X_206)) = addition(star(X_206),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,star(X_206)),addition(star(X_206),A)) ),[0],$fot(addition(one,addition(multiplication(star(one),star(X_206)),A)))]]) ).
cnf(refute_0_362,plain,
( addition(A,star(X_206)) != addition(one,addition(multiplication(star(one),star(X_206)),A))
| addition(A,star(X_206)) = addition(star(X_206),A) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(one),star(X_206)),A)),addition(star(X_206),A)) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( addition(A,multiplication(star(one),star(X_206))) != addition(one,addition(multiplication(star(one),star(X_206)),A))
| addition(A,star(X_206)) = addition(star(X_206),A) ),
inference(resolve,[$cnf( $equal(addition(A,star(X_206)),addition(one,addition(multiplication(star(one),star(X_206)),A))) )],[refute_0_336,refute_0_362]) ).
cnf(refute_0_364,plain,
addition(A,star(X_206)) = addition(star(X_206),A),
inference(resolve,[$cnf( $equal(addition(A,multiplication(star(one),star(X_206))),addition(one,addition(multiplication(star(one),star(X_206)),A))) )],[refute_0_322,refute_0_363]) ).
cnf(refute_0_365,plain,
addition(multiplication(A,star(A)),star(A)) = addition(star(A),multiplication(A,star(A))),
inference(subst,[],[refute_0_364:[bind(A,$fot(multiplication(A,star(A)))),bind(X_206,$fot(A))]]) ).
cnf(refute_0_366,plain,
( addition(multiplication(A,star(A)),star(A)) != addition(star(A),multiplication(A,star(A)))
| addition(star(A),multiplication(A,star(A))) != multiplication(addition(one,A),star(A))
| addition(multiplication(A,star(A)),star(A)) = multiplication(addition(one,A),star(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(multiplication(A,star(A)),star(A)))),bind(Y,$fot(addition(star(A),multiplication(A,star(A))))),bind(Z,$fot(multiplication(addition(one,A),star(A))))]]) ).
cnf(refute_0_367,plain,
( addition(star(A),multiplication(A,star(A))) != multiplication(addition(one,A),star(A))
| addition(multiplication(A,star(A)),star(A)) = multiplication(addition(one,A),star(A)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),star(A)),addition(star(A),multiplication(A,star(A)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
addition(multiplication(A,star(A)),star(A)) = multiplication(addition(one,A),star(A)),
inference(resolve,[$cnf( $equal(addition(star(A),multiplication(A,star(A))),multiplication(addition(one,A),star(A))) )],[refute_0_258,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(multiplication(A,star(A)),addition(X_170,one)) = addition(X_170,addition(one,multiplication(A,star(A)))),
inference(subst,[],[refute_0_94:[bind(A,$fot(multiplication(A,star(A)))),bind(X_64,$fot(X_170)),bind(X_65,$fot(one))]]) ).
cnf(refute_0_370,plain,
( addition(multiplication(A,star(A)),addition(X_170,one)) != addition(X_170,addition(one,multiplication(A,star(A))))
| addition(one,multiplication(A,star(A))) != star(A)
| addition(multiplication(A,star(A)),addition(X_170,one)) = addition(X_170,star(A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(A,star(A)),addition(X_170,one)),addition(X_170,addition(one,multiplication(A,star(A))))) ),[1,1],$fot(star(A))]]) ).
cnf(refute_0_371,plain,
( addition(multiplication(A,star(A)),addition(X_170,one)) != addition(X_170,addition(one,multiplication(A,star(A))))
| addition(multiplication(A,star(A)),addition(X_170,one)) = addition(X_170,star(A)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,star(A))),star(A)) )],[star_unfold1,refute_0_370]) ).
cnf(refute_0_372,plain,
addition(multiplication(A,star(A)),addition(X_170,one)) = addition(X_170,star(A)),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),addition(X_170,one)),addition(X_170,addition(one,multiplication(A,star(A))))) )],[refute_0_369,refute_0_371]) ).
cnf(refute_0_373,plain,
addition(X_169,addition(X_170,X_171)) = addition(X_170,addition(X_171,X_169)),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_169)),bind(X_64,$fot(X_170)),bind(X_65,$fot(X_171))]]) ).
cnf(refute_0_374,plain,
addition(X_171,X_170) = addition(X_170,X_171),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_171)),bind(B,$fot(X_170))]]) ).
cnf(refute_0_375,plain,
( addition(X_171,X_170) != addition(X_170,X_171)
| addition(X_170,X_171) = addition(X_171,X_170) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_171,X_170))),bind(Y,$fot(addition(X_170,X_171)))]]) ).
cnf(refute_0_376,plain,
addition(X_170,X_171) = addition(X_171,X_170),
inference(resolve,[$cnf( $equal(addition(X_171,X_170),addition(X_170,X_171)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
( addition(X_169,addition(X_170,X_171)) != addition(X_170,addition(X_171,X_169))
| addition(X_170,X_171) != addition(X_171,X_170)
| addition(X_169,addition(X_171,X_170)) = addition(X_170,addition(X_171,X_169)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_169,addition(X_170,X_171)),addition(X_170,addition(X_171,X_169))) ),[0,1],$fot(addition(X_171,X_170))]]) ).
cnf(refute_0_378,plain,
( addition(X_169,addition(X_170,X_171)) != addition(X_170,addition(X_171,X_169))
| addition(X_169,addition(X_171,X_170)) = addition(X_170,addition(X_171,X_169)) ),
inference(resolve,[$cnf( $equal(addition(X_170,X_171),addition(X_171,X_170)) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
addition(X_169,addition(X_171,X_170)) = addition(X_170,addition(X_171,X_169)),
inference(resolve,[$cnf( $equal(addition(X_169,addition(X_170,X_171)),addition(X_170,addition(X_171,X_169))) )],[refute_0_373,refute_0_378]) ).
cnf(refute_0_380,plain,
( addition(X_169,addition(X_171,X_170)) != addition(X_170,addition(X_171,X_169))
| addition(X_170,addition(X_171,X_169)) = addition(X_169,addition(X_171,X_170)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_169,addition(X_171,X_170)))),bind(Y,$fot(addition(X_170,addition(X_171,X_169))))]]) ).
cnf(refute_0_381,plain,
addition(X_170,addition(X_171,X_169)) = addition(X_169,addition(X_171,X_170)),
inference(resolve,[$cnf( $equal(addition(X_169,addition(X_171,X_170)),addition(X_170,addition(X_171,X_169))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
addition(multiplication(A,star(A)),addition(X_170,one)) = addition(one,addition(X_170,multiplication(A,star(A)))),
inference(subst,[],[refute_0_381:[bind(X_169,$fot(one)),bind(X_170,$fot(multiplication(A,star(A)))),bind(X_171,$fot(X_170))]]) ).
cnf(refute_0_383,plain,
( addition(multiplication(A,star(A)),addition(X_170,one)) != addition(X_170,star(A))
| addition(multiplication(A,star(A)),addition(X_170,one)) != addition(one,addition(X_170,multiplication(A,star(A))))
| addition(one,addition(X_170,multiplication(A,star(A)))) = addition(X_170,star(A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(A,star(A)),addition(X_170,one)),addition(X_170,star(A))) ),[0],$fot(addition(one,addition(X_170,multiplication(A,star(A)))))]]) ).
cnf(refute_0_384,plain,
( addition(multiplication(A,star(A)),addition(X_170,one)) != addition(X_170,star(A))
| addition(one,addition(X_170,multiplication(A,star(A)))) = addition(X_170,star(A)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),addition(X_170,one)),addition(one,addition(X_170,multiplication(A,star(A))))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
addition(one,addition(X_170,multiplication(A,star(A)))) = addition(X_170,star(A)),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),addition(X_170,one)),addition(X_170,star(A))) )],[refute_0_372,refute_0_384]) ).
cnf(refute_0_386,plain,
addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))) = addition(multiplication(A,star(A)),star(A)),
inference(subst,[],[refute_0_385:[bind(X_170,$fot(multiplication(A,star(A))))]]) ).
cnf(refute_0_387,plain,
( addition(multiplication(A,star(A)),star(A)) != multiplication(addition(one,A),star(A))
| addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))) != addition(multiplication(A,star(A)),star(A))
| addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))) = multiplication(addition(one,A),star(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))))),bind(Y,$fot(addition(multiplication(A,star(A)),star(A)))),bind(Z,$fot(multiplication(addition(one,A),star(A))))]]) ).
cnf(refute_0_388,plain,
( addition(multiplication(A,star(A)),star(A)) != multiplication(addition(one,A),star(A))
| addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))) = multiplication(addition(one,A),star(A)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))),addition(multiplication(A,star(A)),star(A))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))) = multiplication(addition(one,A),star(A)),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),star(A)),multiplication(addition(one,A),star(A))) )],[refute_0_368,refute_0_388]) ).
cnf(refute_0_390,plain,
addition(A,addition(one,multiplication(addition(X_216,one),star(one)))) = addition(one,addition(multiplication(addition(X_216,one),star(one)),A)),
inference(subst,[],[refute_0_94:[bind(X_64,$fot(one)),bind(X_65,$fot(multiplication(addition(X_216,one),star(one))))]]) ).
cnf(refute_0_391,plain,
( addition(A,addition(one,multiplication(addition(X_216,one),star(one)))) != addition(one,addition(multiplication(addition(X_216,one),star(one)),A))
| addition(one,multiplication(addition(X_216,one),star(one))) != multiplication(addition(one,X_216),star(one))
| addition(A,multiplication(addition(one,X_216),star(one))) = addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(one,multiplication(addition(X_216,one),star(one)))),addition(one,addition(multiplication(addition(X_216,one),star(one)),A))) ),[0,1],$fot(multiplication(addition(one,X_216),star(one)))]]) ).
cnf(refute_0_392,plain,
( addition(A,addition(one,multiplication(addition(X_216,one),star(one)))) != addition(one,addition(multiplication(addition(X_216,one),star(one)),A))
| addition(A,multiplication(addition(one,X_216),star(one))) = addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(addition(X_216,one),star(one))),multiplication(addition(one,X_216),star(one))) )],[refute_0_155,refute_0_391]) ).
cnf(refute_0_393,plain,
addition(A,multiplication(addition(one,X_216),star(one))) = addition(one,addition(multiplication(addition(X_216,one),star(one)),A)),
inference(resolve,[$cnf( $equal(addition(A,addition(one,multiplication(addition(X_216,one),star(one)))),addition(one,addition(multiplication(addition(X_216,one),star(one)),A))) )],[refute_0_390,refute_0_392]) ).
cnf(refute_0_394,plain,
multiplication(X_216,one) = X_216,
inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_216))]]) ).
cnf(refute_0_395,plain,
addition(one,multiplication(X_216,one)) = addition(one,multiplication(X_216,one)),
introduced(tautology,[refl,[$fot(addition(one,multiplication(X_216,one)))]]) ).
cnf(refute_0_396,plain,
( addition(one,multiplication(X_216,one)) != addition(one,multiplication(X_216,one))
| multiplication(X_216,one) != X_216
| addition(one,multiplication(X_216,one)) = addition(one,X_216) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(X_216,one)),addition(one,multiplication(X_216,one))) ),[1,1],$fot(X_216)]]) ).
cnf(refute_0_397,plain,
( multiplication(X_216,one) != X_216
| addition(one,multiplication(X_216,one)) = addition(one,X_216) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_216,one)),addition(one,multiplication(X_216,one))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
addition(one,multiplication(X_216,one)) = addition(one,X_216),
inference(resolve,[$cnf( $equal(multiplication(X_216,one),X_216) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
multiplication(addition(X_81,one),X_82) = addition(X_82,multiplication(X_81,X_82)),
inference(subst,[],[refute_0_142:[bind(X_78,$fot(X_81)),bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_400,plain,
addition(one,X_81) = addition(X_81,one),
inference(subst,[],[additive_commutativity:[bind(A,$fot(one)),bind(B,$fot(X_81))]]) ).
cnf(refute_0_401,plain,
( addition(one,X_81) != addition(X_81,one)
| addition(X_81,one) = addition(one,X_81) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(one,X_81))),bind(Y,$fot(addition(X_81,one)))]]) ).
cnf(refute_0_402,plain,
addition(X_81,one) = addition(one,X_81),
inference(resolve,[$cnf( $equal(addition(one,X_81),addition(X_81,one)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
( addition(X_81,one) != addition(one,X_81)
| multiplication(addition(X_81,one),X_82) != addition(X_82,multiplication(X_81,X_82))
| multiplication(addition(one,X_81),X_82) = addition(X_82,multiplication(X_81,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_81,one),X_82),addition(X_82,multiplication(X_81,X_82))) ),[0,0],$fot(addition(one,X_81))]]) ).
cnf(refute_0_404,plain,
( multiplication(addition(X_81,one),X_82) != addition(X_82,multiplication(X_81,X_82))
| multiplication(addition(one,X_81),X_82) = addition(X_82,multiplication(X_81,X_82)) ),
inference(resolve,[$cnf( $equal(addition(X_81,one),addition(one,X_81)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
multiplication(addition(one,X_81),X_82) = addition(X_82,multiplication(X_81,X_82)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_81,one),X_82),addition(X_82,multiplication(X_81,X_82))) )],[refute_0_399,refute_0_404]) ).
cnf(refute_0_406,plain,
multiplication(addition(one,X_216),one) = addition(one,multiplication(X_216,one)),
inference(subst,[],[refute_0_405:[bind(X_81,$fot(X_216)),bind(X_82,$fot(one))]]) ).
cnf(refute_0_407,plain,
( addition(one,multiplication(X_216,one)) != addition(one,X_216)
| multiplication(addition(one,X_216),one) != addition(one,multiplication(X_216,one))
| multiplication(addition(one,X_216),one) = addition(one,X_216) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(addition(one,X_216),one))),bind(Y,$fot(addition(one,multiplication(X_216,one)))),bind(Z,$fot(addition(one,X_216)))]]) ).
cnf(refute_0_408,plain,
( addition(one,multiplication(X_216,one)) != addition(one,X_216)
| multiplication(addition(one,X_216),one) = addition(one,X_216) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),one),addition(one,multiplication(X_216,one))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
multiplication(addition(one,X_216),one) = addition(one,X_216),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_216,one)),addition(one,X_216)) )],[refute_0_398,refute_0_408]) ).
cnf(refute_0_410,plain,
multiplication(addition(one,X_216),star(one)) = multiplication(addition(one,X_216),star(one)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,X_216),star(one)))]]) ).
cnf(refute_0_411,plain,
( multiplication(addition(one,X_216),star(one)) != multiplication(addition(one,X_216),star(one))
| star(one) != one
| multiplication(addition(one,X_216),star(one)) = multiplication(addition(one,X_216),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_216),star(one)),multiplication(addition(one,X_216),star(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_412,plain,
( star(one) != one
| multiplication(addition(one,X_216),star(one)) = multiplication(addition(one,X_216),one) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),star(one)),multiplication(addition(one,X_216),star(one))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
multiplication(addition(one,X_216),star(one)) = multiplication(addition(one,X_216),one),
inference(resolve,[$cnf( $equal(star(one),one) )],[refute_0_219,refute_0_412]) ).
cnf(refute_0_414,plain,
( multiplication(addition(one,X_216),one) != addition(one,X_216)
| multiplication(addition(one,X_216),star(one)) != multiplication(addition(one,X_216),one)
| multiplication(addition(one,X_216),star(one)) = addition(one,X_216) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(addition(one,X_216),star(one)))),bind(Y,$fot(multiplication(addition(one,X_216),one))),bind(Z,$fot(addition(one,X_216)))]]) ).
cnf(refute_0_415,plain,
( multiplication(addition(one,X_216),one) != addition(one,X_216)
| multiplication(addition(one,X_216),star(one)) = addition(one,X_216) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),star(one)),multiplication(addition(one,X_216),one)) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
multiplication(addition(one,X_216),star(one)) = addition(one,X_216),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),one),addition(one,X_216)) )],[refute_0_409,refute_0_415]) ).
cnf(refute_0_417,plain,
addition(A,multiplication(addition(one,X_216),star(one))) = addition(A,multiplication(addition(one,X_216),star(one))),
introduced(tautology,[refl,[$fot(addition(A,multiplication(addition(one,X_216),star(one))))]]) ).
cnf(refute_0_418,plain,
( addition(A,multiplication(addition(one,X_216),star(one))) != addition(A,multiplication(addition(one,X_216),star(one)))
| multiplication(addition(one,X_216),star(one)) != addition(one,X_216)
| addition(A,multiplication(addition(one,X_216),star(one))) = addition(A,addition(one,X_216)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,multiplication(addition(one,X_216),star(one))),addition(A,multiplication(addition(one,X_216),star(one)))) ),[1,1],$fot(addition(one,X_216))]]) ).
cnf(refute_0_419,plain,
( multiplication(addition(one,X_216),star(one)) != addition(one,X_216)
| addition(A,multiplication(addition(one,X_216),star(one))) = addition(A,addition(one,X_216)) ),
inference(resolve,[$cnf( $equal(addition(A,multiplication(addition(one,X_216),star(one))),addition(A,multiplication(addition(one,X_216),star(one)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
addition(A,multiplication(addition(one,X_216),star(one))) = addition(A,addition(one,X_216)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_216),star(one)),addition(one,X_216)) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
( addition(A,multiplication(addition(one,X_216),star(one))) != addition(A,addition(one,X_216))
| addition(A,multiplication(addition(one,X_216),star(one))) != addition(one,addition(multiplication(addition(X_216,one),star(one)),A))
| addition(A,addition(one,X_216)) = addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,multiplication(addition(one,X_216),star(one))),addition(one,addition(multiplication(addition(X_216,one),star(one)),A))) ),[0],$fot(addition(A,addition(one,X_216)))]]) ).
cnf(refute_0_422,plain,
( addition(A,multiplication(addition(one,X_216),star(one))) != addition(one,addition(multiplication(addition(X_216,one),star(one)),A))
| addition(A,addition(one,X_216)) = addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) ),
inference(resolve,[$cnf( $equal(addition(A,multiplication(addition(one,X_216),star(one))),addition(A,addition(one,X_216))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
addition(one,addition(one,addition(X_216,A))) = addition(one,addition(X_216,A)),
inference(subst,[],[refute_0_41:[bind(X_65,$fot(one)),bind(X_66,$fot(addition(X_216,A)))]]) ).
cnf(refute_0_424,plain,
addition(addition(one,X_216),A) = addition(one,addition(X_216,A)),
inference(subst,[],[refute_0_80:[bind(A,$fot(one)),bind(B,$fot(X_216)),bind(C,$fot(A))]]) ).
cnf(refute_0_425,plain,
multiplication(addition(one,multiplication(star(one),addition(X_31,one))),X_190) = addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)),
inference(subst,[],[refute_0_123:[bind(X_79,$fot(multiplication(star(one),addition(X_31,one)))),bind(X_80,$fot(X_190))]]) ).
cnf(refute_0_426,plain,
addition(one,addition(star(one),multiplication(star(one),X_31))) = addition(star(one),multiplication(star(one),X_31)),
inference(subst,[],[refute_0_133:[bind(X_66,$fot(multiplication(star(one),X_31)))]]) ).
cnf(refute_0_427,plain,
multiplication(star(one),addition(X_31,one)) = addition(star(one),multiplication(star(one),X_31)),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(star(one)))]]) ).
cnf(refute_0_428,plain,
( multiplication(star(one),addition(X_31,one)) != addition(star(one),multiplication(star(one),X_31))
| addition(star(one),multiplication(star(one),X_31)) = multiplication(star(one),addition(X_31,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(star(one),addition(X_31,one)))),bind(Y,$fot(addition(star(one),multiplication(star(one),X_31))))]]) ).
cnf(refute_0_429,plain,
addition(star(one),multiplication(star(one),X_31)) = multiplication(star(one),addition(X_31,one)),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(X_31,one)),addition(star(one),multiplication(star(one),X_31))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
( addition(one,addition(star(one),multiplication(star(one),X_31))) != addition(star(one),multiplication(star(one),X_31))
| addition(star(one),multiplication(star(one),X_31)) != multiplication(star(one),addition(X_31,one))
| addition(one,multiplication(star(one),addition(X_31,one))) = addition(star(one),multiplication(star(one),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(one),multiplication(star(one),X_31))),addition(star(one),multiplication(star(one),X_31))) ),[0,1],$fot(multiplication(star(one),addition(X_31,one)))]]) ).
cnf(refute_0_431,plain,
( addition(one,addition(star(one),multiplication(star(one),X_31))) != addition(star(one),multiplication(star(one),X_31))
| addition(one,multiplication(star(one),addition(X_31,one))) = addition(star(one),multiplication(star(one),X_31)) ),
inference(resolve,[$cnf( $equal(addition(star(one),multiplication(star(one),X_31)),multiplication(star(one),addition(X_31,one))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
addition(one,multiplication(star(one),addition(X_31,one))) = addition(star(one),multiplication(star(one),X_31)),
inference(resolve,[$cnf( $equal(addition(one,addition(star(one),multiplication(star(one),X_31))),addition(star(one),multiplication(star(one),X_31))) )],[refute_0_426,refute_0_431]) ).
cnf(refute_0_433,plain,
( addition(one,multiplication(star(one),addition(X_31,one))) != addition(star(one),multiplication(star(one),X_31))
| addition(star(one),multiplication(star(one),X_31)) != multiplication(star(one),addition(X_31,one))
| addition(one,multiplication(star(one),addition(X_31,one))) = multiplication(star(one),addition(X_31,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,multiplication(star(one),addition(X_31,one))),multiplication(star(one),addition(X_31,one))) ),[0],$fot(addition(star(one),multiplication(star(one),X_31)))]]) ).
cnf(refute_0_434,plain,
( addition(one,multiplication(star(one),addition(X_31,one))) != addition(star(one),multiplication(star(one),X_31))
| addition(one,multiplication(star(one),addition(X_31,one))) = multiplication(star(one),addition(X_31,one)) ),
inference(resolve,[$cnf( $equal(addition(star(one),multiplication(star(one),X_31)),multiplication(star(one),addition(X_31,one))) )],[refute_0_429,refute_0_433]) ).
cnf(refute_0_435,plain,
addition(one,multiplication(star(one),addition(X_31,one))) = multiplication(star(one),addition(X_31,one)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(one),addition(X_31,one))),addition(star(one),multiplication(star(one),X_31))) )],[refute_0_432,refute_0_434]) ).
cnf(refute_0_436,plain,
( addition(one,multiplication(star(one),addition(X_31,one))) != multiplication(star(one),addition(X_31,one))
| multiplication(addition(one,multiplication(star(one),addition(X_31,one))),X_190) != addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))
| multiplication(multiplication(star(one),addition(X_31,one)),X_190) = addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,multiplication(star(one),addition(X_31,one))),X_190),addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))) ),[0,0],$fot(multiplication(star(one),addition(X_31,one)))]]) ).
cnf(refute_0_437,plain,
( multiplication(addition(one,multiplication(star(one),addition(X_31,one))),X_190) != addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))
| multiplication(multiplication(star(one),addition(X_31,one)),X_190) = addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(one),addition(X_31,one))),multiplication(star(one),addition(X_31,one))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
multiplication(multiplication(star(one),addition(X_31,one)),X_190) = addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,multiplication(star(one),addition(X_31,one))),X_190),addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))) )],[refute_0_425,refute_0_437]) ).
cnf(refute_0_439,plain,
multiplication(multiplication(star(one),addition(X_31,one)),X_190) = multiplication(star(one),multiplication(addition(X_31,one),X_190)),
inference(subst,[],[refute_0_160:[bind(A,$fot(star(one))),bind(B,$fot(addition(X_31,one))),bind(C,$fot(X_190))]]) ).
cnf(refute_0_440,plain,
( multiplication(multiplication(star(one),addition(X_31,one)),X_190) != addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))
| multiplication(multiplication(star(one),addition(X_31,one)),X_190) != multiplication(star(one),multiplication(addition(X_31,one),X_190))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(star(one),addition(X_31,one)),X_190),addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))) ),[0],$fot(multiplication(star(one),multiplication(addition(X_31,one),X_190)))]]) ).
cnf(refute_0_441,plain,
( multiplication(multiplication(star(one),addition(X_31,one)),X_190) != addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(star(one),addition(X_31,one)),X_190),multiplication(star(one),multiplication(addition(X_31,one),X_190))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) = addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)),
introduced(tautology,[refl,[$fot(addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)))]]) ).
cnf(refute_0_443,plain,
( addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) != addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))
| multiplication(multiplication(star(one),addition(X_31,one)),X_190) != multiplication(star(one),multiplication(addition(X_31,one),X_190))
| addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)),addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))) ),[1,1],$fot(multiplication(star(one),multiplication(addition(X_31,one),X_190)))]]) ).
cnf(refute_0_444,plain,
( multiplication(multiplication(star(one),addition(X_31,one)),X_190) != multiplication(star(one),multiplication(addition(X_31,one),X_190))
| addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)),addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(star(one),addition(X_31,one)),X_190),multiplication(star(one),multiplication(addition(X_31,one),X_190))) )],[refute_0_439,refute_0_444]) ).
cnf(refute_0_446,plain,
( addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)) != addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) != addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))) ),[1],$fot(addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))))]]) ).
cnf(refute_0_447,plain,
( multiplication(star(one),multiplication(addition(X_31,one),X_190)) != addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190)),addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
( multiplication(multiplication(star(one),addition(X_31,one)),X_190) != addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))) )],[refute_0_441,refute_0_447]) ).
cnf(refute_0_449,plain,
multiplication(star(one),multiplication(addition(X_31,one),X_190)) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(star(one),addition(X_31,one)),X_190),addition(X_190,multiplication(multiplication(star(one),addition(X_31,one)),X_190))) )],[refute_0_438,refute_0_448]) ).
cnf(refute_0_450,plain,
multiplication(one,multiplication(addition(X_31,one),X_190)) = multiplication(addition(X_31,one),X_190),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(multiplication(addition(X_31,one),X_190)))]]) ).
cnf(refute_0_451,plain,
multiplication(star(one),multiplication(addition(X_31,one),X_190)) = multiplication(star(one),multiplication(addition(X_31,one),X_190)),
introduced(tautology,[refl,[$fot(multiplication(star(one),multiplication(addition(X_31,one),X_190)))]]) ).
cnf(refute_0_452,plain,
( multiplication(star(one),multiplication(addition(X_31,one),X_190)) != multiplication(star(one),multiplication(addition(X_31,one),X_190))
| star(one) != one
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = multiplication(one,multiplication(addition(X_31,one),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),multiplication(star(one),multiplication(addition(X_31,one),X_190))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_453,plain,
( star(one) != one
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = multiplication(one,multiplication(addition(X_31,one),X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),multiplication(star(one),multiplication(addition(X_31,one),X_190))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
multiplication(star(one),multiplication(addition(X_31,one),X_190)) = multiplication(one,multiplication(addition(X_31,one),X_190)),
inference(resolve,[$cnf( $equal(star(one),one) )],[refute_0_219,refute_0_453]) ).
cnf(refute_0_455,plain,
( multiplication(one,multiplication(addition(X_31,one),X_190)) != multiplication(addition(X_31,one),X_190)
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) != multiplication(one,multiplication(addition(X_31,one),X_190))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = multiplication(addition(X_31,one),X_190) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(star(one),multiplication(addition(X_31,one),X_190)))),bind(Y,$fot(multiplication(one,multiplication(addition(X_31,one),X_190)))),bind(Z,$fot(multiplication(addition(X_31,one),X_190)))]]) ).
cnf(refute_0_456,plain,
( multiplication(one,multiplication(addition(X_31,one),X_190)) != multiplication(addition(X_31,one),X_190)
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) = multiplication(addition(X_31,one),X_190) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),multiplication(one,multiplication(addition(X_31,one),X_190))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
multiplication(star(one),multiplication(addition(X_31,one),X_190)) = multiplication(addition(X_31,one),X_190),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(addition(X_31,one),X_190)),multiplication(addition(X_31,one),X_190)) )],[refute_0_450,refute_0_456]) ).
cnf(refute_0_458,plain,
( multiplication(star(one),multiplication(addition(X_31,one),X_190)) != addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) != multiplication(addition(X_31,one),X_190)
| multiplication(addition(X_31,one),X_190) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))) ),[0],$fot(multiplication(addition(X_31,one),X_190))]]) ).
cnf(refute_0_459,plain,
( multiplication(star(one),multiplication(addition(X_31,one),X_190)) != addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))
| multiplication(addition(X_31,one),X_190) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),multiplication(addition(X_31,one),X_190)) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
addition(X_190,multiplication(addition(X_31,one),X_190)) = addition(X_190,multiplication(X_31,X_190)),
inference(subst,[],[refute_0_239:[bind(X_138,$fot(X_190)),bind(X_78,$fot(X_31))]]) ).
cnf(refute_0_461,plain,
addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) = addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))),
introduced(tautology,[refl,[$fot(addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))))]]) ).
cnf(refute_0_462,plain,
( addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) != addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))
| multiplication(star(one),multiplication(addition(X_31,one),X_190)) != multiplication(addition(X_31,one),X_190)
| addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) = addition(X_190,multiplication(addition(X_31,one),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))),addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))) ),[1,1],$fot(multiplication(addition(X_31,one),X_190))]]) ).
cnf(refute_0_463,plain,
( multiplication(star(one),multiplication(addition(X_31,one),X_190)) != multiplication(addition(X_31,one),X_190)
| addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) = addition(X_190,multiplication(addition(X_31,one),X_190)) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))),addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) = addition(X_190,multiplication(addition(X_31,one),X_190)),
inference(resolve,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),multiplication(addition(X_31,one),X_190)) )],[refute_0_457,refute_0_463]) ).
cnf(refute_0_465,plain,
( addition(X_190,multiplication(addition(X_31,one),X_190)) != addition(X_190,multiplication(X_31,X_190))
| addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) != addition(X_190,multiplication(addition(X_31,one),X_190))
| addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) = addition(X_190,multiplication(X_31,X_190)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))))),bind(Y,$fot(addition(X_190,multiplication(addition(X_31,one),X_190)))),bind(Z,$fot(addition(X_190,multiplication(X_31,X_190))))]]) ).
cnf(refute_0_466,plain,
( addition(X_190,multiplication(addition(X_31,one),X_190)) != addition(X_190,multiplication(X_31,X_190))
| addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) = addition(X_190,multiplication(X_31,X_190)) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))),addition(X_190,multiplication(addition(X_31,one),X_190))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) = addition(X_190,multiplication(X_31,X_190)),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(addition(X_31,one),X_190)),addition(X_190,multiplication(X_31,X_190))) )],[refute_0_460,refute_0_466]) ).
cnf(refute_0_468,plain,
( addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))) != addition(X_190,multiplication(X_31,X_190))
| multiplication(addition(X_31,one),X_190) != addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))
| multiplication(addition(X_31,one),X_190) = addition(X_190,multiplication(X_31,X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_31,one),X_190),addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))) ),[1],$fot(addition(X_190,multiplication(X_31,X_190)))]]) ).
cnf(refute_0_469,plain,
( multiplication(addition(X_31,one),X_190) != addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))
| multiplication(addition(X_31,one),X_190) = addition(X_190,multiplication(X_31,X_190)) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190))),addition(X_190,multiplication(X_31,X_190))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
( multiplication(star(one),multiplication(addition(X_31,one),X_190)) != addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))
| multiplication(addition(X_31,one),X_190) = addition(X_190,multiplication(X_31,X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_31,one),X_190),addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))) )],[refute_0_459,refute_0_469]) ).
cnf(refute_0_471,plain,
multiplication(addition(X_31,one),X_190) = addition(X_190,multiplication(X_31,X_190)),
inference(resolve,[$cnf( $equal(multiplication(star(one),multiplication(addition(X_31,one),X_190)),addition(X_190,multiplication(star(one),multiplication(addition(X_31,one),X_190)))) )],[refute_0_449,refute_0_470]) ).
cnf(refute_0_472,plain,
multiplication(addition(X_216,one),one) = addition(one,multiplication(X_216,one)),
inference(subst,[],[refute_0_471:[bind(X_190,$fot(one)),bind(X_31,$fot(X_216))]]) ).
cnf(refute_0_473,plain,
( addition(one,multiplication(X_216,one)) != addition(one,X_216)
| multiplication(addition(X_216,one),one) != addition(one,multiplication(X_216,one))
| multiplication(addition(X_216,one),one) = addition(one,X_216) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(addition(X_216,one),one))),bind(Y,$fot(addition(one,multiplication(X_216,one)))),bind(Z,$fot(addition(one,X_216)))]]) ).
cnf(refute_0_474,plain,
( addition(one,multiplication(X_216,one)) != addition(one,X_216)
| multiplication(addition(X_216,one),one) = addition(one,X_216) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_216,one),one),addition(one,multiplication(X_216,one))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
multiplication(addition(X_216,one),one) = addition(one,X_216),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_216,one)),addition(one,X_216)) )],[refute_0_398,refute_0_474]) ).
cnf(refute_0_476,plain,
multiplication(addition(X_216,one),star(one)) = multiplication(addition(X_216,one),star(one)),
introduced(tautology,[refl,[$fot(multiplication(addition(X_216,one),star(one)))]]) ).
cnf(refute_0_477,plain,
( multiplication(addition(X_216,one),star(one)) != multiplication(addition(X_216,one),star(one))
| star(one) != one
| multiplication(addition(X_216,one),star(one)) = multiplication(addition(X_216,one),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_216,one),star(one)),multiplication(addition(X_216,one),star(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_478,plain,
( star(one) != one
| multiplication(addition(X_216,one),star(one)) = multiplication(addition(X_216,one),one) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_216,one),star(one)),multiplication(addition(X_216,one),star(one))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
multiplication(addition(X_216,one),star(one)) = multiplication(addition(X_216,one),one),
inference(resolve,[$cnf( $equal(star(one),one) )],[refute_0_219,refute_0_478]) ).
cnf(refute_0_480,plain,
( multiplication(addition(X_216,one),one) != addition(one,X_216)
| multiplication(addition(X_216,one),star(one)) != multiplication(addition(X_216,one),one)
| multiplication(addition(X_216,one),star(one)) = addition(one,X_216) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(addition(X_216,one),star(one)))),bind(Y,$fot(multiplication(addition(X_216,one),one))),bind(Z,$fot(addition(one,X_216)))]]) ).
cnf(refute_0_481,plain,
( multiplication(addition(X_216,one),one) != addition(one,X_216)
| multiplication(addition(X_216,one),star(one)) = addition(one,X_216) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_216,one),star(one)),multiplication(addition(X_216,one),one)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
multiplication(addition(X_216,one),star(one)) = addition(one,X_216),
inference(resolve,[$cnf( $equal(multiplication(addition(X_216,one),one),addition(one,X_216)) )],[refute_0_475,refute_0_481]) ).
cnf(refute_0_483,plain,
addition(multiplication(addition(X_216,one),star(one)),A) = addition(multiplication(addition(X_216,one),star(one)),A),
introduced(tautology,[refl,[$fot(addition(multiplication(addition(X_216,one),star(one)),A))]]) ).
cnf(refute_0_484,plain,
( addition(multiplication(addition(X_216,one),star(one)),A) != addition(multiplication(addition(X_216,one),star(one)),A)
| multiplication(addition(X_216,one),star(one)) != addition(one,X_216)
| addition(multiplication(addition(X_216,one),star(one)),A) = addition(addition(one,X_216),A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(addition(X_216,one),star(one)),A),addition(multiplication(addition(X_216,one),star(one)),A)) ),[1,0],$fot(addition(one,X_216))]]) ).
cnf(refute_0_485,plain,
( multiplication(addition(X_216,one),star(one)) != addition(one,X_216)
| addition(multiplication(addition(X_216,one),star(one)),A) = addition(addition(one,X_216),A) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(X_216,one),star(one)),A),addition(multiplication(addition(X_216,one),star(one)),A)) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
addition(multiplication(addition(X_216,one),star(one)),A) = addition(addition(one,X_216),A),
inference(resolve,[$cnf( $equal(multiplication(addition(X_216,one),star(one)),addition(one,X_216)) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
( addition(addition(one,X_216),A) != addition(one,addition(X_216,A))
| addition(multiplication(addition(X_216,one),star(one)),A) != addition(addition(one,X_216),A)
| addition(multiplication(addition(X_216,one),star(one)),A) = addition(one,addition(X_216,A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(multiplication(addition(X_216,one),star(one)),A))),bind(Y,$fot(addition(addition(one,X_216),A))),bind(Z,$fot(addition(one,addition(X_216,A))))]]) ).
cnf(refute_0_488,plain,
( addition(addition(one,X_216),A) != addition(one,addition(X_216,A))
| addition(multiplication(addition(X_216,one),star(one)),A) = addition(one,addition(X_216,A)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(X_216,one),star(one)),A),addition(addition(one,X_216),A)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
addition(multiplication(addition(X_216,one),star(one)),A) = addition(one,addition(X_216,A)),
inference(resolve,[$cnf( $equal(addition(addition(one,X_216),A),addition(one,addition(X_216,A))) )],[refute_0_424,refute_0_488]) ).
cnf(refute_0_490,plain,
addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) = addition(one,addition(multiplication(addition(X_216,one),star(one)),A)),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(addition(X_216,one),star(one)),A)))]]) ).
cnf(refute_0_491,plain,
( addition(multiplication(addition(X_216,one),star(one)),A) != addition(one,addition(X_216,A))
| addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) != addition(one,addition(multiplication(addition(X_216,one),star(one)),A))
| addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) = addition(one,addition(one,addition(X_216,A))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(addition(X_216,one),star(one)),A)),addition(one,addition(multiplication(addition(X_216,one),star(one)),A))) ),[1,1],$fot(addition(one,addition(X_216,A)))]]) ).
cnf(refute_0_492,plain,
( addition(multiplication(addition(X_216,one),star(one)),A) != addition(one,addition(X_216,A))
| addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) = addition(one,addition(one,addition(X_216,A))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(addition(X_216,one),star(one)),A)),addition(one,addition(multiplication(addition(X_216,one),star(one)),A))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) = addition(one,addition(one,addition(X_216,A))),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(X_216,one),star(one)),A),addition(one,addition(X_216,A))) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
( addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) != addition(one,addition(one,addition(X_216,A)))
| addition(one,addition(one,addition(X_216,A))) != addition(one,addition(X_216,A))
| addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) = addition(one,addition(X_216,A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(one,addition(multiplication(addition(X_216,one),star(one)),A)))),bind(Y,$fot(addition(one,addition(one,addition(X_216,A))))),bind(Z,$fot(addition(one,addition(X_216,A))))]]) ).
cnf(refute_0_495,plain,
( addition(one,addition(one,addition(X_216,A))) != addition(one,addition(X_216,A))
| addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) = addition(one,addition(X_216,A)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(addition(X_216,one),star(one)),A)),addition(one,addition(one,addition(X_216,A)))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) = addition(one,addition(X_216,A)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,addition(X_216,A))),addition(one,addition(X_216,A))) )],[refute_0_423,refute_0_495]) ).
cnf(refute_0_497,plain,
( addition(A,addition(one,X_216)) != addition(one,addition(multiplication(addition(X_216,one),star(one)),A))
| addition(one,addition(multiplication(addition(X_216,one),star(one)),A)) != addition(one,addition(X_216,A))
| addition(A,addition(one,X_216)) = addition(one,addition(X_216,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(one,X_216)),addition(one,addition(X_216,A))) ),[0],$fot(addition(one,addition(multiplication(addition(X_216,one),star(one)),A)))]]) ).
cnf(refute_0_498,plain,
( addition(A,addition(one,X_216)) != addition(one,addition(multiplication(addition(X_216,one),star(one)),A))
| addition(A,addition(one,X_216)) = addition(one,addition(X_216,A)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(addition(X_216,one),star(one)),A)),addition(one,addition(X_216,A))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
( addition(A,multiplication(addition(one,X_216),star(one))) != addition(one,addition(multiplication(addition(X_216,one),star(one)),A))
| addition(A,addition(one,X_216)) = addition(one,addition(X_216,A)) ),
inference(resolve,[$cnf( $equal(addition(A,addition(one,X_216)),addition(one,addition(multiplication(addition(X_216,one),star(one)),A))) )],[refute_0_422,refute_0_498]) ).
cnf(refute_0_500,plain,
addition(A,addition(one,X_216)) = addition(one,addition(X_216,A)),
inference(resolve,[$cnf( $equal(addition(A,multiplication(addition(one,X_216),star(one))),addition(one,addition(multiplication(addition(X_216,one),star(one)),A))) )],[refute_0_393,refute_0_499]) ).
cnf(refute_0_501,plain,
addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))) = addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))),
inference(subst,[],[refute_0_500:[bind(A,$fot(multiplication(A,star(A)))),bind(X_216,$fot(multiplication(A,star(A))))]]) ).
cnf(refute_0_502,plain,
( addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))) != addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A))))
| addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))) != multiplication(addition(one,A),star(A))
| addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))) = multiplication(addition(one,A),star(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))))),bind(Y,$fot(addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))))),bind(Z,$fot(multiplication(addition(one,A),star(A))))]]) ).
cnf(refute_0_503,plain,
( addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))) != multiplication(addition(one,A),star(A))
| addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))) = multiplication(addition(one,A),star(A)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))),addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A))))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))) = multiplication(addition(one,A),star(A)),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),multiplication(A,star(A)))),multiplication(addition(one,A),star(A))) )],[refute_0_389,refute_0_503]) ).
cnf(refute_0_505,plain,
( addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))) != multiplication(addition(one,A),star(A))
| star(A) != addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A))))
| star(A) = multiplication(addition(one,A),star(A)) ),
introduced(tautology,[equality,[$cnf( $equal(star(A),addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A))))) ),[1],$fot(multiplication(addition(one,A),star(A)))]]) ).
cnf(refute_0_506,plain,
( star(A) != addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A))))
| star(A) = multiplication(addition(one,A),star(A)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A)))),multiplication(addition(one,A),star(A))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
star(A) = multiplication(addition(one,A),star(A)),
inference(resolve,[$cnf( $equal(star(A),addition(multiplication(A,star(A)),addition(one,multiplication(A,star(A))))) )],[refute_0_118,refute_0_506]) ).
cnf(refute_0_508,plain,
star(multiplication(strong_iteration(A),one)) = multiplication(addition(one,multiplication(strong_iteration(A),one)),star(multiplication(strong_iteration(A),one))),
inference(subst,[],[refute_0_507:[bind(A,$fot(multiplication(strong_iteration(A),one)))]]) ).
cnf(refute_0_509,plain,
multiplication(addition(one,strong_iteration(A)),X_190) = addition(X_190,multiplication(strong_iteration(A),X_190)),
inference(subst,[],[refute_0_123:[bind(X_79,$fot(strong_iteration(A))),bind(X_80,$fot(X_190))]]) ).
cnf(refute_0_510,plain,
addition(one,addition(one,multiplication(A,strong_iteration(A)))) = addition(one,multiplication(A,strong_iteration(A))),
inference(subst,[],[refute_0_41:[bind(X_65,$fot(one)),bind(X_66,$fot(multiplication(A,strong_iteration(A))))]]) ).
cnf(refute_0_511,plain,
addition(multiplication(A,strong_iteration(A)),one) = addition(one,multiplication(A,strong_iteration(A))),
inference(subst,[],[refute_0_17:[bind(A,$fot(one)),bind(B,$fot(multiplication(A,strong_iteration(A))))]]) ).
cnf(refute_0_512,plain,
( addition(multiplication(A,strong_iteration(A)),one) != addition(one,multiplication(A,strong_iteration(A)))
| strong_iteration(A) != addition(multiplication(A,strong_iteration(A)),one)
| strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))) ),
introduced(tautology,[equality,[$cnf( $equal(strong_iteration(A),addition(multiplication(A,strong_iteration(A)),one)) ),[1],$fot(addition(one,multiplication(A,strong_iteration(A))))]]) ).
cnf(refute_0_513,plain,
( strong_iteration(A) != addition(multiplication(A,strong_iteration(A)),one)
| strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,strong_iteration(A)),one),addition(one,multiplication(A,strong_iteration(A)))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))),
inference(resolve,[$cnf( $equal(strong_iteration(A),addition(multiplication(A,strong_iteration(A)),one)) )],[infty_unfold1,refute_0_513]) ).
cnf(refute_0_515,plain,
( strong_iteration(A) != addition(one,multiplication(A,strong_iteration(A)))
| addition(one,multiplication(A,strong_iteration(A))) = strong_iteration(A) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(strong_iteration(A))),bind(Y,$fot(addition(one,multiplication(A,strong_iteration(A)))))]]) ).
cnf(refute_0_516,plain,
addition(one,multiplication(A,strong_iteration(A))) = strong_iteration(A),
inference(resolve,[$cnf( $equal(strong_iteration(A),addition(one,multiplication(A,strong_iteration(A)))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
( addition(one,addition(one,multiplication(A,strong_iteration(A)))) != addition(one,multiplication(A,strong_iteration(A)))
| addition(one,multiplication(A,strong_iteration(A))) != strong_iteration(A)
| addition(one,strong_iteration(A)) = addition(one,multiplication(A,strong_iteration(A))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(one,multiplication(A,strong_iteration(A)))),addition(one,multiplication(A,strong_iteration(A)))) ),[0,1],$fot(strong_iteration(A))]]) ).
cnf(refute_0_518,plain,
( addition(one,addition(one,multiplication(A,strong_iteration(A)))) != addition(one,multiplication(A,strong_iteration(A)))
| addition(one,strong_iteration(A)) = addition(one,multiplication(A,strong_iteration(A))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,strong_iteration(A))),strong_iteration(A)) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
addition(one,strong_iteration(A)) = addition(one,multiplication(A,strong_iteration(A))),
inference(resolve,[$cnf( $equal(addition(one,addition(one,multiplication(A,strong_iteration(A)))),addition(one,multiplication(A,strong_iteration(A)))) )],[refute_0_510,refute_0_518]) ).
cnf(refute_0_520,plain,
( addition(one,multiplication(A,strong_iteration(A))) != strong_iteration(A)
| addition(one,strong_iteration(A)) != addition(one,multiplication(A,strong_iteration(A)))
| addition(one,strong_iteration(A)) = strong_iteration(A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,strong_iteration(A)),addition(one,multiplication(A,strong_iteration(A)))) ),[1],$fot(strong_iteration(A))]]) ).
cnf(refute_0_521,plain,
( addition(one,strong_iteration(A)) != addition(one,multiplication(A,strong_iteration(A)))
| addition(one,strong_iteration(A)) = strong_iteration(A) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,strong_iteration(A))),strong_iteration(A)) )],[refute_0_516,refute_0_520]) ).
cnf(refute_0_522,plain,
addition(one,strong_iteration(A)) = strong_iteration(A),
inference(resolve,[$cnf( $equal(addition(one,strong_iteration(A)),addition(one,multiplication(A,strong_iteration(A)))) )],[refute_0_519,refute_0_521]) ).
cnf(refute_0_523,plain,
( addition(one,strong_iteration(A)) != strong_iteration(A)
| multiplication(addition(one,strong_iteration(A)),X_190) != addition(X_190,multiplication(strong_iteration(A),X_190))
| multiplication(strong_iteration(A),X_190) = addition(X_190,multiplication(strong_iteration(A),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,strong_iteration(A)),X_190),addition(X_190,multiplication(strong_iteration(A),X_190))) ),[0,0],$fot(strong_iteration(A))]]) ).
cnf(refute_0_524,plain,
( multiplication(addition(one,strong_iteration(A)),X_190) != addition(X_190,multiplication(strong_iteration(A),X_190))
| multiplication(strong_iteration(A),X_190) = addition(X_190,multiplication(strong_iteration(A),X_190)) ),
inference(resolve,[$cnf( $equal(addition(one,strong_iteration(A)),strong_iteration(A)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
multiplication(strong_iteration(A),X_190) = addition(X_190,multiplication(strong_iteration(A),X_190)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,strong_iteration(A)),X_190),addition(X_190,multiplication(strong_iteration(A),X_190))) )],[refute_0_509,refute_0_524]) ).
cnf(refute_0_526,plain,
multiplication(strong_iteration(A),one) = addition(one,multiplication(strong_iteration(A),one)),
inference(subst,[],[refute_0_525:[bind(X_190,$fot(one))]]) ).
cnf(refute_0_527,plain,
( multiplication(strong_iteration(A),one) != addition(one,multiplication(strong_iteration(A),one))
| addition(one,multiplication(strong_iteration(A),one)) = multiplication(strong_iteration(A),one) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(strong_iteration(A),one))),bind(Y,$fot(addition(one,multiplication(strong_iteration(A),one))))]]) ).
cnf(refute_0_528,plain,
addition(one,multiplication(strong_iteration(A),one)) = multiplication(strong_iteration(A),one),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(A),one),addition(one,multiplication(strong_iteration(A),one))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
( addition(one,multiplication(strong_iteration(A),one)) != multiplication(strong_iteration(A),one)
| star(multiplication(strong_iteration(A),one)) != multiplication(addition(one,multiplication(strong_iteration(A),one)),star(multiplication(strong_iteration(A),one)))
| star(multiplication(strong_iteration(A),one)) = multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) ),
introduced(tautology,[equality,[$cnf( $equal(star(multiplication(strong_iteration(A),one)),multiplication(addition(one,multiplication(strong_iteration(A),one)),star(multiplication(strong_iteration(A),one)))) ),[1,0],$fot(multiplication(strong_iteration(A),one))]]) ).
cnf(refute_0_530,plain,
( star(multiplication(strong_iteration(A),one)) != multiplication(addition(one,multiplication(strong_iteration(A),one)),star(multiplication(strong_iteration(A),one)))
| star(multiplication(strong_iteration(A),one)) = multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(strong_iteration(A),one)),multiplication(strong_iteration(A),one)) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
star(multiplication(strong_iteration(A),one)) = multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))),
inference(resolve,[$cnf( $equal(star(multiplication(strong_iteration(A),one)),multiplication(addition(one,multiplication(strong_iteration(A),one)),star(multiplication(strong_iteration(A),one)))) )],[refute_0_508,refute_0_530]) ).
cnf(refute_0_532,plain,
multiplication(strong_iteration(A),one) = strong_iteration(A),
inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(strong_iteration(A)))]]) ).
cnf(refute_0_533,plain,
star(multiplication(strong_iteration(A),one)) = star(multiplication(strong_iteration(A),one)),
introduced(tautology,[refl,[$fot(star(multiplication(strong_iteration(A),one)))]]) ).
cnf(refute_0_534,plain,
( multiplication(strong_iteration(A),one) != strong_iteration(A)
| star(multiplication(strong_iteration(A),one)) != star(multiplication(strong_iteration(A),one))
| star(multiplication(strong_iteration(A),one)) = star(strong_iteration(A)) ),
introduced(tautology,[equality,[$cnf( $equal(star(multiplication(strong_iteration(A),one)),star(multiplication(strong_iteration(A),one))) ),[1,0],$fot(strong_iteration(A))]]) ).
cnf(refute_0_535,plain,
( multiplication(strong_iteration(A),one) != strong_iteration(A)
| star(multiplication(strong_iteration(A),one)) = star(strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(star(multiplication(strong_iteration(A),one)),star(multiplication(strong_iteration(A),one))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
star(multiplication(strong_iteration(A),one)) = star(strong_iteration(A)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(A),one),strong_iteration(A)) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
( star(multiplication(strong_iteration(A),one)) != multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))
| star(multiplication(strong_iteration(A),one)) != star(strong_iteration(A))
| star(strong_iteration(A)) = multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) ),
introduced(tautology,[equality,[$cnf( $equal(star(multiplication(strong_iteration(A),one)),multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))) ),[0],$fot(star(strong_iteration(A)))]]) ).
cnf(refute_0_538,plain,
( star(multiplication(strong_iteration(A),one)) != multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))
| star(strong_iteration(A)) = multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) ),
inference(resolve,[$cnf( $equal(star(multiplication(strong_iteration(A),one)),star(strong_iteration(A))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
multiplication(one,star(multiplication(strong_iteration(A),one))) = star(multiplication(strong_iteration(A),one)),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(star(multiplication(strong_iteration(A),one))))]]) ).
cnf(refute_0_540,plain,
( multiplication(one,star(multiplication(strong_iteration(A),one))) != star(multiplication(strong_iteration(A),one))
| star(multiplication(strong_iteration(A),one)) != star(strong_iteration(A))
| multiplication(one,star(multiplication(strong_iteration(A),one))) = star(strong_iteration(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(one,star(multiplication(strong_iteration(A),one))))),bind(Y,$fot(star(multiplication(strong_iteration(A),one)))),bind(Z,$fot(star(strong_iteration(A))))]]) ).
cnf(refute_0_541,plain,
( star(multiplication(strong_iteration(A),one)) != star(strong_iteration(A))
| multiplication(one,star(multiplication(strong_iteration(A),one))) = star(strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(multiplication(one,star(multiplication(strong_iteration(A),one))),star(multiplication(strong_iteration(A),one))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
multiplication(one,star(multiplication(strong_iteration(A),one))) = star(strong_iteration(A)),
inference(resolve,[$cnf( $equal(star(multiplication(strong_iteration(A),one)),star(strong_iteration(A))) )],[refute_0_536,refute_0_541]) ).
cnf(refute_0_543,plain,
multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))) = multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))),
introduced(tautology,[refl,[$fot(multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))))]]) ).
cnf(refute_0_544,plain,
( multiplication(one,star(multiplication(strong_iteration(A),one))) != star(strong_iteration(A))
| multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))) != multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one))))
| multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))) = multiplication(strong_iteration(A),star(strong_iteration(A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))),multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one))))) ),[1,1],$fot(star(strong_iteration(A)))]]) ).
cnf(refute_0_545,plain,
( multiplication(one,star(multiplication(strong_iteration(A),one))) != star(strong_iteration(A))
| multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))) = multiplication(strong_iteration(A),star(strong_iteration(A))) ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))),multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one))))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))) = multiplication(strong_iteration(A),star(strong_iteration(A))),
inference(resolve,[$cnf( $equal(multiplication(one,star(multiplication(strong_iteration(A),one))),star(strong_iteration(A))) )],[refute_0_542,refute_0_545]) ).
cnf(refute_0_547,plain,
multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) = multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))),
inference(subst,[],[refute_0_160:[bind(A,$fot(strong_iteration(A))),bind(B,$fot(one)),bind(C,$fot(star(multiplication(strong_iteration(A),one))))]]) ).
cnf(refute_0_548,plain,
( multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) != multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one))))
| multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))) != multiplication(strong_iteration(A),star(strong_iteration(A)))
| multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) = multiplication(strong_iteration(A),star(strong_iteration(A))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))))),bind(Y,$fot(multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))))),bind(Z,$fot(multiplication(strong_iteration(A),star(strong_iteration(A)))))]]) ).
cnf(refute_0_549,plain,
( multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))) != multiplication(strong_iteration(A),star(strong_iteration(A)))
| multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) = multiplication(strong_iteration(A),star(strong_iteration(A))) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))),multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one))))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) = multiplication(strong_iteration(A),star(strong_iteration(A))),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(A),multiplication(one,star(multiplication(strong_iteration(A),one)))),multiplication(strong_iteration(A),star(strong_iteration(A)))) )],[refute_0_546,refute_0_549]) ).
cnf(refute_0_551,plain,
( multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))) != multiplication(strong_iteration(A),star(strong_iteration(A)))
| star(strong_iteration(A)) != multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))
| star(strong_iteration(A)) = multiplication(strong_iteration(A),star(strong_iteration(A))) ),
introduced(tautology,[equality,[$cnf( $equal(star(strong_iteration(A)),multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))) ),[1],$fot(multiplication(strong_iteration(A),star(strong_iteration(A))))]]) ).
cnf(refute_0_552,plain,
( star(strong_iteration(A)) != multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))
| star(strong_iteration(A)) = multiplication(strong_iteration(A),star(strong_iteration(A))) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one))),multiplication(strong_iteration(A),star(strong_iteration(A)))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
( star(multiplication(strong_iteration(A),one)) != multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))
| star(strong_iteration(A)) = multiplication(strong_iteration(A),star(strong_iteration(A))) ),
inference(resolve,[$cnf( $equal(star(strong_iteration(A)),multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))) )],[refute_0_538,refute_0_552]) ).
cnf(refute_0_554,plain,
star(strong_iteration(A)) = multiplication(strong_iteration(A),star(strong_iteration(A))),
inference(resolve,[$cnf( $equal(star(multiplication(strong_iteration(A),one)),multiplication(multiplication(strong_iteration(A),one),star(multiplication(strong_iteration(A),one)))) )],[refute_0_531,refute_0_553]) ).
cnf(refute_0_555,plain,
( star(strong_iteration(A)) != multiplication(strong_iteration(A),star(strong_iteration(A)))
| multiplication(strong_iteration(A),star(strong_iteration(A))) = star(strong_iteration(A)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(star(strong_iteration(A)))),bind(Y,$fot(multiplication(strong_iteration(A),star(strong_iteration(A)))))]]) ).
cnf(refute_0_556,plain,
multiplication(strong_iteration(A),star(strong_iteration(A))) = star(strong_iteration(A)),
inference(resolve,[$cnf( $equal(star(strong_iteration(A)),multiplication(strong_iteration(A),star(strong_iteration(A)))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
( ifeq2(leq(addition(strong_iteration(A),multiplication(strong_iteration(A),star(strong_iteration(A)))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != strong_iteration(A)
| multiplication(strong_iteration(A),star(strong_iteration(A))) != star(strong_iteration(A))
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = strong_iteration(A) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),multiplication(strong_iteration(A),star(strong_iteration(A)))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),strong_iteration(A)) ),[0,0,0,1],$fot(star(strong_iteration(A)))]]) ).
cnf(refute_0_558,plain,
( ifeq2(leq(addition(strong_iteration(A),multiplication(strong_iteration(A),star(strong_iteration(A)))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != strong_iteration(A)
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = strong_iteration(A) ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(A),star(strong_iteration(A))),star(strong_iteration(A))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = strong_iteration(A),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),multiplication(strong_iteration(A),star(strong_iteration(A)))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),strong_iteration(A)) )],[refute_0_66,refute_0_558]) ).
cnf(refute_0_560,plain,
ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)) = star(strong_iteration(A)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(star(strong_iteration(A)))),bind(C,$fot(strong_iteration(A)))]]) ).
cnf(refute_0_561,plain,
multiplication(addition(one,X_299),addition(one,star(X_299))) = addition(addition(one,X_299),multiplication(addition(one,X_299),star(X_299))),
inference(subst,[],[refute_0_32:[bind(X_30,$fot(addition(one,X_299))),bind(X_32,$fot(star(X_299)))]]) ).
cnf(refute_0_562,plain,
star(X_299) = multiplication(addition(one,X_299),star(X_299)),
inference(subst,[],[refute_0_507:[bind(A,$fot(X_299))]]) ).
cnf(refute_0_563,plain,
( star(X_299) != multiplication(addition(one,X_299),star(X_299))
| multiplication(addition(one,X_299),star(X_299)) = star(X_299) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(star(X_299))),bind(Y,$fot(multiplication(addition(one,X_299),star(X_299))))]]) ).
cnf(refute_0_564,plain,
multiplication(addition(one,X_299),star(X_299)) = star(X_299),
inference(resolve,[$cnf( $equal(star(X_299),multiplication(addition(one,X_299),star(X_299))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
( multiplication(addition(one,X_299),addition(one,star(X_299))) != addition(addition(one,X_299),multiplication(addition(one,X_299),star(X_299)))
| multiplication(addition(one,X_299),star(X_299)) != star(X_299)
| multiplication(addition(one,X_299),addition(one,star(X_299))) = addition(addition(one,X_299),star(X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_299),addition(one,star(X_299))),addition(addition(one,X_299),multiplication(addition(one,X_299),star(X_299)))) ),[1,1],$fot(star(X_299))]]) ).
cnf(refute_0_566,plain,
( multiplication(addition(one,X_299),addition(one,star(X_299))) != addition(addition(one,X_299),multiplication(addition(one,X_299),star(X_299)))
| multiplication(addition(one,X_299),addition(one,star(X_299))) = addition(addition(one,X_299),star(X_299)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_299),star(X_299)),star(X_299)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
multiplication(addition(one,X_299),addition(one,star(X_299))) = addition(addition(one,X_299),star(X_299)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_299),addition(one,star(X_299))),addition(addition(one,X_299),multiplication(addition(one,X_299),star(X_299)))) )],[refute_0_561,refute_0_566]) ).
cnf(refute_0_568,plain,
addition(one,star(X_299)) = star(X_299),
inference(subst,[],[refute_0_344:[bind(A,$fot(X_299))]]) ).
cnf(refute_0_569,plain,
multiplication(addition(one,X_299),addition(one,star(X_299))) = multiplication(addition(one,X_299),addition(one,star(X_299))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,X_299),addition(one,star(X_299))))]]) ).
cnf(refute_0_570,plain,
( addition(one,star(X_299)) != star(X_299)
| multiplication(addition(one,X_299),addition(one,star(X_299))) != multiplication(addition(one,X_299),addition(one,star(X_299)))
| multiplication(addition(one,X_299),addition(one,star(X_299))) = multiplication(addition(one,X_299),star(X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_299),addition(one,star(X_299))),multiplication(addition(one,X_299),addition(one,star(X_299)))) ),[1,1],$fot(star(X_299))]]) ).
cnf(refute_0_571,plain,
( addition(one,star(X_299)) != star(X_299)
| multiplication(addition(one,X_299),addition(one,star(X_299))) = multiplication(addition(one,X_299),star(X_299)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_299),addition(one,star(X_299))),multiplication(addition(one,X_299),addition(one,star(X_299)))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
multiplication(addition(one,X_299),addition(one,star(X_299))) = multiplication(addition(one,X_299),star(X_299)),
inference(resolve,[$cnf( $equal(addition(one,star(X_299)),star(X_299)) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
( multiplication(addition(one,X_299),addition(one,star(X_299))) != multiplication(addition(one,X_299),star(X_299))
| multiplication(addition(one,X_299),star(X_299)) != star(X_299)
| multiplication(addition(one,X_299),addition(one,star(X_299))) = star(X_299) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(addition(one,X_299),addition(one,star(X_299))))),bind(Y,$fot(multiplication(addition(one,X_299),star(X_299)))),bind(Z,$fot(star(X_299)))]]) ).
cnf(refute_0_574,plain,
( multiplication(addition(one,X_299),star(X_299)) != star(X_299)
| multiplication(addition(one,X_299),addition(one,star(X_299))) = star(X_299) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_299),addition(one,star(X_299))),multiplication(addition(one,X_299),star(X_299))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
multiplication(addition(one,X_299),addition(one,star(X_299))) = star(X_299),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_299),star(X_299)),star(X_299)) )],[refute_0_564,refute_0_574]) ).
cnf(refute_0_576,plain,
( multiplication(addition(one,X_299),addition(one,star(X_299))) != addition(addition(one,X_299),star(X_299))
| multiplication(addition(one,X_299),addition(one,star(X_299))) != star(X_299)
| star(X_299) = addition(addition(one,X_299),star(X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_299),addition(one,star(X_299))),addition(addition(one,X_299),star(X_299))) ),[0],$fot(star(X_299))]]) ).
cnf(refute_0_577,plain,
( multiplication(addition(one,X_299),addition(one,star(X_299))) != addition(addition(one,X_299),star(X_299))
| star(X_299) = addition(addition(one,X_299),star(X_299)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_299),addition(one,star(X_299))),star(X_299)) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
addition(X_299,addition(one,star(X_299))) = addition(X_299,addition(one,star(X_299))),
introduced(tautology,[refl,[$fot(addition(X_299,addition(one,star(X_299))))]]) ).
cnf(refute_0_579,plain,
( addition(X_299,addition(one,star(X_299))) != addition(X_299,addition(one,star(X_299)))
| addition(one,star(X_299)) != star(X_299)
| addition(X_299,addition(one,star(X_299))) = addition(X_299,star(X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_299,addition(one,star(X_299))),addition(X_299,addition(one,star(X_299)))) ),[1,1],$fot(star(X_299))]]) ).
cnf(refute_0_580,plain,
( addition(one,star(X_299)) != star(X_299)
| addition(X_299,addition(one,star(X_299))) = addition(X_299,star(X_299)) ),
inference(resolve,[$cnf( $equal(addition(X_299,addition(one,star(X_299))),addition(X_299,addition(one,star(X_299)))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
addition(X_299,addition(one,star(X_299))) = addition(X_299,star(X_299)),
inference(resolve,[$cnf( $equal(addition(one,star(X_299)),star(X_299)) )],[refute_0_568,refute_0_580]) ).
cnf(refute_0_582,plain,
addition(A,addition(B,addition(X_297,B))) = addition(addition(A,B),addition(X_297,B)),
inference(subst,[],[additive_associativity:[bind(C,$fot(addition(X_297,B)))]]) ).
cnf(refute_0_583,plain,
addition(X_297,B) = addition(B,addition(X_297,B)),
inference(subst,[],[refute_0_114:[bind(X_65,$fot(X_297)),bind(X_66,$fot(B))]]) ).
cnf(refute_0_584,plain,
( addition(X_297,B) != addition(B,addition(X_297,B))
| addition(B,addition(X_297,B)) = addition(X_297,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_297,B))),bind(Y,$fot(addition(B,addition(X_297,B))))]]) ).
cnf(refute_0_585,plain,
addition(B,addition(X_297,B)) = addition(X_297,B),
inference(resolve,[$cnf( $equal(addition(X_297,B),addition(B,addition(X_297,B))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
( addition(A,addition(B,addition(X_297,B))) != addition(addition(A,B),addition(X_297,B))
| addition(B,addition(X_297,B)) != addition(X_297,B)
| addition(A,addition(X_297,B)) = addition(addition(A,B),addition(X_297,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,addition(X_297,B))),addition(addition(A,B),addition(X_297,B))) ),[0,1],$fot(addition(X_297,B))]]) ).
cnf(refute_0_587,plain,
( addition(A,addition(B,addition(X_297,B))) != addition(addition(A,B),addition(X_297,B))
| addition(A,addition(X_297,B)) = addition(addition(A,B),addition(X_297,B)) ),
inference(resolve,[$cnf( $equal(addition(B,addition(X_297,B)),addition(X_297,B)) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
addition(A,addition(X_297,B)) = addition(addition(A,B),addition(X_297,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,addition(X_297,B))),addition(addition(A,B),addition(X_297,B))) )],[refute_0_582,refute_0_587]) ).
cnf(refute_0_589,plain,
addition(X_65,addition(X_65,addition(X_170,X_171))) = addition(X_65,addition(X_170,X_171)),
inference(subst,[],[refute_0_41:[bind(X_66,$fot(addition(X_170,X_171)))]]) ).
cnf(refute_0_590,plain,
addition(X_65,addition(X_170,X_171)) = addition(X_170,addition(X_171,X_65)),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_65)),bind(X_64,$fot(X_170)),bind(X_65,$fot(X_171))]]) ).
cnf(refute_0_591,plain,
( addition(X_65,addition(X_170,X_171)) != addition(X_170,addition(X_171,X_65))
| addition(X_65,addition(X_65,addition(X_170,X_171))) != addition(X_65,addition(X_170,X_171))
| addition(X_65,addition(X_170,addition(X_171,X_65))) = addition(X_65,addition(X_170,X_171)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_65,addition(X_65,addition(X_170,X_171))),addition(X_65,addition(X_170,X_171))) ),[0,1],$fot(addition(X_170,addition(X_171,X_65)))]]) ).
cnf(refute_0_592,plain,
( addition(X_65,addition(X_65,addition(X_170,X_171))) != addition(X_65,addition(X_170,X_171))
| addition(X_65,addition(X_170,addition(X_171,X_65))) = addition(X_65,addition(X_170,X_171)) ),
inference(resolve,[$cnf( $equal(addition(X_65,addition(X_170,X_171)),addition(X_170,addition(X_171,X_65))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
addition(X_65,addition(X_170,addition(X_171,X_65))) = addition(X_65,addition(X_170,X_171)),
inference(resolve,[$cnf( $equal(addition(X_65,addition(X_65,addition(X_170,X_171))),addition(X_65,addition(X_170,X_171))) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
addition(B,addition(X_297,addition(A,B))) = addition(B,addition(X_297,A)),
inference(subst,[],[refute_0_593:[bind(X_170,$fot(X_297)),bind(X_171,$fot(A)),bind(X_65,$fot(B))]]) ).
cnf(refute_0_595,plain,
addition(X_65,X_64) = addition(X_64,X_65),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_65)),bind(B,$fot(X_64))]]) ).
cnf(refute_0_596,plain,
( addition(X_65,X_64) != addition(X_64,X_65)
| addition(X_64,X_65) = addition(X_65,X_64) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_65,X_64))),bind(Y,$fot(addition(X_64,X_65)))]]) ).
cnf(refute_0_597,plain,
addition(X_64,X_65) = addition(X_65,X_64),
inference(resolve,[$cnf( $equal(addition(X_65,X_64),addition(X_64,X_65)) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
( addition(X_64,X_65) != addition(X_65,X_64)
| addition(X_64,addition(X_65,X_66)) != addition(addition(X_64,X_65),X_66)
| addition(X_64,addition(X_65,X_66)) = addition(addition(X_65,X_64),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_64,addition(X_65,X_66)),addition(addition(X_64,X_65),X_66)) ),[1,0],$fot(addition(X_65,X_64))]]) ).
cnf(refute_0_599,plain,
( addition(X_64,addition(X_65,X_66)) != addition(addition(X_64,X_65),X_66)
| addition(X_64,addition(X_65,X_66)) = addition(addition(X_65,X_64),X_66) ),
inference(resolve,[$cnf( $equal(addition(X_64,X_65),addition(X_65,X_64)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
addition(X_64,addition(X_65,X_66)) = addition(addition(X_65,X_64),X_66),
inference(resolve,[$cnf( $equal(addition(X_64,addition(X_65,X_66)),addition(addition(X_64,X_65),X_66)) )],[refute_0_72,refute_0_599]) ).
cnf(refute_0_601,plain,
addition(addition(X_65,X_64),X_66) = addition(X_65,addition(X_64,X_66)),
inference(subst,[],[refute_0_80:[bind(A,$fot(X_65)),bind(B,$fot(X_64)),bind(C,$fot(X_66))]]) ).
cnf(refute_0_602,plain,
( addition(X_64,addition(X_65,X_66)) != addition(addition(X_65,X_64),X_66)
| addition(addition(X_65,X_64),X_66) != addition(X_65,addition(X_64,X_66))
| addition(X_64,addition(X_65,X_66)) = addition(X_65,addition(X_64,X_66)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_64,addition(X_65,X_66)),addition(X_65,addition(X_64,X_66))) ),[0],$fot(addition(addition(X_65,X_64),X_66))]]) ).
cnf(refute_0_603,plain,
( addition(X_64,addition(X_65,X_66)) != addition(addition(X_65,X_64),X_66)
| addition(X_64,addition(X_65,X_66)) = addition(X_65,addition(X_64,X_66)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_65,X_64),X_66),addition(X_65,addition(X_64,X_66))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
addition(X_64,addition(X_65,X_66)) = addition(X_65,addition(X_64,X_66)),
inference(resolve,[$cnf( $equal(addition(X_64,addition(X_65,X_66)),addition(addition(X_65,X_64),X_66)) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
addition(X_64,addition(X_65,A)) = addition(X_65,addition(X_64,A)),
inference(subst,[],[refute_0_604:[bind(X_66,$fot(A))]]) ).
cnf(refute_0_606,plain,
( addition(A,addition(X_64,X_65)) != addition(X_64,addition(X_65,A))
| addition(X_64,addition(X_65,A)) != addition(X_65,addition(X_64,A))
| addition(A,addition(X_64,X_65)) = addition(X_65,addition(X_64,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_64,X_65)),addition(X_65,addition(X_64,A))) ),[0],$fot(addition(X_64,addition(X_65,A)))]]) ).
cnf(refute_0_607,plain,
( addition(A,addition(X_64,X_65)) != addition(X_64,addition(X_65,A))
| addition(A,addition(X_64,X_65)) = addition(X_65,addition(X_64,A)) ),
inference(resolve,[$cnf( $equal(addition(X_64,addition(X_65,A)),addition(X_65,addition(X_64,A))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
addition(A,addition(X_64,X_65)) = addition(X_65,addition(X_64,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_64,X_65)),addition(X_64,addition(X_65,A))) )],[refute_0_94,refute_0_607]) ).
cnf(refute_0_609,plain,
( addition(A,addition(X_64,X_65)) != addition(X_65,addition(X_64,A))
| addition(X_65,addition(X_64,A)) = addition(A,addition(X_64,X_65)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,addition(X_64,X_65)))),bind(Y,$fot(addition(X_65,addition(X_64,A))))]]) ).
cnf(refute_0_610,plain,
addition(X_65,addition(X_64,A)) = addition(A,addition(X_64,X_65)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_64,X_65)),addition(X_65,addition(X_64,A))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
addition(addition(A,B),addition(X_297,B)) = addition(B,addition(X_297,addition(A,B))),
inference(subst,[],[refute_0_610:[bind(A,$fot(B)),bind(X_64,$fot(X_297)),bind(X_65,$fot(addition(A,B)))]]) ).
cnf(refute_0_612,plain,
( addition(B,addition(X_297,addition(A,B))) != addition(B,addition(X_297,A))
| addition(addition(A,B),addition(X_297,B)) != addition(B,addition(X_297,addition(A,B)))
| addition(addition(A,B),addition(X_297,B)) = addition(B,addition(X_297,A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(A,B),addition(X_297,B)))),bind(Y,$fot(addition(B,addition(X_297,addition(A,B))))),bind(Z,$fot(addition(B,addition(X_297,A))))]]) ).
cnf(refute_0_613,plain,
( addition(B,addition(X_297,addition(A,B))) != addition(B,addition(X_297,A))
| addition(addition(A,B),addition(X_297,B)) = addition(B,addition(X_297,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_297,B)),addition(B,addition(X_297,addition(A,B)))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
addition(addition(A,B),addition(X_297,B)) = addition(B,addition(X_297,A)),
inference(resolve,[$cnf( $equal(addition(B,addition(X_297,addition(A,B))),addition(B,addition(X_297,A))) )],[refute_0_594,refute_0_613]) ).
cnf(refute_0_615,plain,
( addition(A,addition(X_297,B)) != addition(addition(A,B),addition(X_297,B))
| addition(addition(A,B),addition(X_297,B)) != addition(B,addition(X_297,A))
| addition(A,addition(X_297,B)) = addition(B,addition(X_297,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_297,B)),addition(B,addition(X_297,A))) ),[0],$fot(addition(addition(A,B),addition(X_297,B)))]]) ).
cnf(refute_0_616,plain,
( addition(A,addition(X_297,B)) != addition(addition(A,B),addition(X_297,B))
| addition(A,addition(X_297,B)) = addition(B,addition(X_297,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_297,B)),addition(B,addition(X_297,A))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
addition(A,addition(X_297,B)) = addition(B,addition(X_297,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_297,B)),addition(addition(A,B),addition(X_297,B))) )],[refute_0_588,refute_0_616]) ).
cnf(refute_0_618,plain,
( addition(A,addition(X_297,B)) != addition(B,addition(X_297,A))
| addition(B,addition(X_297,A)) = addition(A,addition(X_297,B)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,addition(X_297,B)))),bind(Y,$fot(addition(B,addition(X_297,A))))]]) ).
cnf(refute_0_619,plain,
addition(B,addition(X_297,A)) = addition(A,addition(X_297,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_297,B)),addition(B,addition(X_297,A))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
addition(star(X_299),addition(one,X_299)) = addition(X_299,addition(one,star(X_299))),
inference(subst,[],[refute_0_619:[bind(A,$fot(X_299)),bind(B,$fot(star(X_299))),bind(X_297,$fot(one))]]) ).
cnf(refute_0_621,plain,
addition(addition(one,X_299),star(X_299)) = addition(star(X_299),addition(one,X_299)),
inference(subst,[],[refute_0_364:[bind(A,$fot(addition(one,X_299))),bind(X_206,$fot(X_299))]]) ).
cnf(refute_0_622,plain,
( addition(addition(one,X_299),star(X_299)) != addition(star(X_299),addition(one,X_299))
| addition(star(X_299),addition(one,X_299)) != addition(X_299,addition(one,star(X_299)))
| addition(addition(one,X_299),star(X_299)) = addition(X_299,addition(one,star(X_299))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(one,X_299),star(X_299)))),bind(Y,$fot(addition(star(X_299),addition(one,X_299)))),bind(Z,$fot(addition(X_299,addition(one,star(X_299)))))]]) ).
cnf(refute_0_623,plain,
( addition(star(X_299),addition(one,X_299)) != addition(X_299,addition(one,star(X_299)))
| addition(addition(one,X_299),star(X_299)) = addition(X_299,addition(one,star(X_299))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_299),star(X_299)),addition(star(X_299),addition(one,X_299))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
addition(addition(one,X_299),star(X_299)) = addition(X_299,addition(one,star(X_299))),
inference(resolve,[$cnf( $equal(addition(star(X_299),addition(one,X_299)),addition(X_299,addition(one,star(X_299)))) )],[refute_0_620,refute_0_623]) ).
cnf(refute_0_625,plain,
( addition(X_299,addition(one,star(X_299))) != addition(X_299,star(X_299))
| addition(addition(one,X_299),star(X_299)) != addition(X_299,addition(one,star(X_299)))
| addition(addition(one,X_299),star(X_299)) = addition(X_299,star(X_299)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(one,X_299),star(X_299)))),bind(Y,$fot(addition(X_299,addition(one,star(X_299))))),bind(Z,$fot(addition(X_299,star(X_299))))]]) ).
cnf(refute_0_626,plain,
( addition(X_299,addition(one,star(X_299))) != addition(X_299,star(X_299))
| addition(addition(one,X_299),star(X_299)) = addition(X_299,star(X_299)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_299),star(X_299)),addition(X_299,addition(one,star(X_299)))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
addition(addition(one,X_299),star(X_299)) = addition(X_299,star(X_299)),
inference(resolve,[$cnf( $equal(addition(X_299,addition(one,star(X_299))),addition(X_299,star(X_299))) )],[refute_0_581,refute_0_626]) ).
cnf(refute_0_628,plain,
( addition(addition(one,X_299),star(X_299)) != addition(X_299,star(X_299))
| star(X_299) != addition(addition(one,X_299),star(X_299))
| star(X_299) = addition(X_299,star(X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(star(X_299),addition(addition(one,X_299),star(X_299))) ),[1],$fot(addition(X_299,star(X_299)))]]) ).
cnf(refute_0_629,plain,
( star(X_299) != addition(addition(one,X_299),star(X_299))
| star(X_299) = addition(X_299,star(X_299)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_299),star(X_299)),addition(X_299,star(X_299))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
( multiplication(addition(one,X_299),addition(one,star(X_299))) != addition(addition(one,X_299),star(X_299))
| star(X_299) = addition(X_299,star(X_299)) ),
inference(resolve,[$cnf( $equal(star(X_299),addition(addition(one,X_299),star(X_299))) )],[refute_0_577,refute_0_629]) ).
cnf(refute_0_631,plain,
star(X_299) = addition(X_299,star(X_299)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_299),addition(one,star(X_299))),addition(addition(one,X_299),star(X_299))) )],[refute_0_567,refute_0_630]) ).
cnf(refute_0_632,plain,
( star(X_299) != addition(X_299,star(X_299))
| addition(X_299,star(X_299)) = star(X_299) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(star(X_299))),bind(Y,$fot(addition(X_299,star(X_299))))]]) ).
cnf(refute_0_633,plain,
addition(X_299,star(X_299)) = star(X_299),
inference(resolve,[$cnf( $equal(star(X_299),addition(X_299,star(X_299))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
addition(strong_iteration(A),star(strong_iteration(A))) = star(strong_iteration(A)),
inference(subst,[],[refute_0_633:[bind(X_299,$fot(strong_iteration(A)))]]) ).
cnf(refute_0_635,plain,
addition(A,addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))) = addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)),
inference(subst,[],[refute_0_94:[bind(X_64,$fot(one)),bind(X_65,$fot(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))))]]) ).
cnf(refute_0_636,plain,
multiplication(X_57,addition(one,multiplication(A,strong_iteration(A)))) = addition(X_57,multiplication(X_57,multiplication(A,strong_iteration(A)))),
inference(subst,[],[refute_0_32:[bind(X_30,$fot(X_57)),bind(X_32,$fot(multiplication(A,strong_iteration(A))))]]) ).
cnf(refute_0_637,plain,
( addition(one,multiplication(A,strong_iteration(A))) != strong_iteration(A)
| multiplication(X_57,addition(one,multiplication(A,strong_iteration(A)))) != addition(X_57,multiplication(X_57,multiplication(A,strong_iteration(A))))
| multiplication(X_57,strong_iteration(A)) = addition(X_57,multiplication(X_57,multiplication(A,strong_iteration(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_57,addition(one,multiplication(A,strong_iteration(A)))),addition(X_57,multiplication(X_57,multiplication(A,strong_iteration(A))))) ),[0,1],$fot(strong_iteration(A))]]) ).
cnf(refute_0_638,plain,
( multiplication(X_57,addition(one,multiplication(A,strong_iteration(A)))) != addition(X_57,multiplication(X_57,multiplication(A,strong_iteration(A))))
| multiplication(X_57,strong_iteration(A)) = addition(X_57,multiplication(X_57,multiplication(A,strong_iteration(A)))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,strong_iteration(A))),strong_iteration(A)) )],[refute_0_516,refute_0_637]) ).
cnf(refute_0_639,plain,
multiplication(X_57,strong_iteration(A)) = addition(X_57,multiplication(X_57,multiplication(A,strong_iteration(A)))),
inference(resolve,[$cnf( $equal(multiplication(X_57,addition(one,multiplication(A,strong_iteration(A)))),addition(X_57,multiplication(X_57,multiplication(A,strong_iteration(A))))) )],[refute_0_636,refute_0_638]) ).
cnf(refute_0_640,plain,
multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) = addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187)))),
inference(subst,[],[refute_0_639:[bind(A,$fot(X_187)),bind(X_57,$fot(addition(multiplication(X_187,strong_iteration(X_187)),one)))]]) ).
cnf(refute_0_641,plain,
multiplication(X_32,addition(one,X_32)) = addition(X_32,multiplication(X_32,X_32)),
inference(subst,[],[refute_0_32:[bind(X_30,$fot(X_32))]]) ).
cnf(refute_0_642,plain,
multiplication(addition(X_32,one),X_32) = addition(X_32,multiplication(X_32,X_32)),
inference(subst,[],[refute_0_142:[bind(X_78,$fot(X_32)),bind(X_80,$fot(X_32))]]) ).
cnf(refute_0_643,plain,
( multiplication(addition(X_32,one),X_32) != addition(X_32,multiplication(X_32,X_32))
| addition(X_32,multiplication(X_32,X_32)) = multiplication(addition(X_32,one),X_32) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_32,one),X_32))),bind(Y,$fot(addition(X_32,multiplication(X_32,X_32))))]]) ).
cnf(refute_0_644,plain,
addition(X_32,multiplication(X_32,X_32)) = multiplication(addition(X_32,one),X_32),
inference(resolve,[$cnf( $equal(multiplication(addition(X_32,one),X_32),addition(X_32,multiplication(X_32,X_32))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
( addition(X_32,multiplication(X_32,X_32)) != multiplication(addition(X_32,one),X_32)
| multiplication(X_32,addition(one,X_32)) != addition(X_32,multiplication(X_32,X_32))
| multiplication(X_32,addition(one,X_32)) = multiplication(addition(X_32,one),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_32,addition(one,X_32)),addition(X_32,multiplication(X_32,X_32))) ),[1],$fot(multiplication(addition(X_32,one),X_32))]]) ).
cnf(refute_0_646,plain,
( multiplication(X_32,addition(one,X_32)) != addition(X_32,multiplication(X_32,X_32))
| multiplication(X_32,addition(one,X_32)) = multiplication(addition(X_32,one),X_32) ),
inference(resolve,[$cnf( $equal(addition(X_32,multiplication(X_32,X_32)),multiplication(addition(X_32,one),X_32)) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
multiplication(X_32,addition(one,X_32)) = multiplication(addition(X_32,one),X_32),
inference(resolve,[$cnf( $equal(multiplication(X_32,addition(one,X_32)),addition(X_32,multiplication(X_32,X_32))) )],[refute_0_641,refute_0_646]) ).
cnf(refute_0_648,plain,
multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))) = multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))),
inference(subst,[],[refute_0_647:[bind(X_32,$fot(multiplication(X_187,strong_iteration(X_187))))]]) ).
cnf(refute_0_649,plain,
( multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))) != multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187)))
| multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))) = multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))),bind(Y,$fot(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187)))))]]) ).
cnf(refute_0_650,plain,
multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))) = multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))),multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187)))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
( multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))) != multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))
| multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) != addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))))
| multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) = addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)),addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))))) ),[1,1],$fot(multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))]]) ).
cnf(refute_0_652,plain,
( multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) != addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))))
| multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) = addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) = addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))),
inference(resolve,[$cnf( $equal(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)),addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(X_187,strong_iteration(X_187))))) )],[refute_0_640,refute_0_652]) ).
cnf(refute_0_654,plain,
addition(one,multiplication(X_187,strong_iteration(X_187))) = strong_iteration(X_187),
inference(subst,[],[refute_0_516:[bind(A,$fot(X_187))]]) ).
cnf(refute_0_655,plain,
multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)) = multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)))]]) ).
cnf(refute_0_656,plain,
( addition(one,multiplication(X_187,strong_iteration(X_187))) != strong_iteration(X_187)
| multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)) != multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187))
| multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)) = multiplication(strong_iteration(X_187),strong_iteration(X_187)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)),multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187))) ),[1,0],$fot(strong_iteration(X_187))]]) ).
cnf(refute_0_657,plain,
( addition(one,multiplication(X_187,strong_iteration(X_187))) != strong_iteration(X_187)
| multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)) = multiplication(strong_iteration(X_187),strong_iteration(X_187)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)),multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)) = multiplication(strong_iteration(X_187),strong_iteration(X_187)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)) )],[refute_0_654,refute_0_657]) ).
cnf(refute_0_659,plain,
addition(star(A),addition(multiplication(strong_iteration(A),zero),X_66)) = addition(addition(star(A),multiplication(strong_iteration(A),zero)),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(star(A))),bind(B,$fot(multiplication(strong_iteration(A),zero))),bind(C,$fot(X_66))]]) ).
cnf(refute_0_660,plain,
( strong_iteration(A) != addition(star(A),multiplication(strong_iteration(A),zero))
| addition(star(A),multiplication(strong_iteration(A),zero)) = strong_iteration(A) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(strong_iteration(A))),bind(Y,$fot(addition(star(A),multiplication(strong_iteration(A),zero))))]]) ).
cnf(refute_0_661,plain,
addition(star(A),multiplication(strong_iteration(A),zero)) = strong_iteration(A),
inference(resolve,[$cnf( $equal(strong_iteration(A),addition(star(A),multiplication(strong_iteration(A),zero))) )],[isolation,refute_0_660]) ).
cnf(refute_0_662,plain,
( addition(star(A),addition(multiplication(strong_iteration(A),zero),X_66)) != addition(addition(star(A),multiplication(strong_iteration(A),zero)),X_66)
| addition(star(A),multiplication(strong_iteration(A),zero)) != strong_iteration(A)
| addition(star(A),addition(multiplication(strong_iteration(A),zero),X_66)) = addition(strong_iteration(A),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(A),addition(multiplication(strong_iteration(A),zero),X_66)),addition(addition(star(A),multiplication(strong_iteration(A),zero)),X_66)) ),[1,0],$fot(strong_iteration(A))]]) ).
cnf(refute_0_663,plain,
( addition(star(A),addition(multiplication(strong_iteration(A),zero),X_66)) != addition(addition(star(A),multiplication(strong_iteration(A),zero)),X_66)
| addition(star(A),addition(multiplication(strong_iteration(A),zero),X_66)) = addition(strong_iteration(A),X_66) ),
inference(resolve,[$cnf( $equal(addition(star(A),multiplication(strong_iteration(A),zero)),strong_iteration(A)) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
addition(star(A),addition(multiplication(strong_iteration(A),zero),X_66)) = addition(strong_iteration(A),X_66),
inference(resolve,[$cnf( $equal(addition(star(A),addition(multiplication(strong_iteration(A),zero),X_66)),addition(addition(star(A),multiplication(strong_iteration(A),zero)),X_66)) )],[refute_0_659,refute_0_663]) ).
cnf(refute_0_665,plain,
addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) = addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))),
inference(subst,[],[refute_0_664:[bind(A,$fot(X_157)),bind(X_66,$fot(multiplication(X_78,strong_iteration(X_157))))]]) ).
cnf(refute_0_666,plain,
multiplication(addition(X_78,one),strong_iteration(X_157)) = addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))),
inference(subst,[],[refute_0_142:[bind(X_80,$fot(strong_iteration(X_157)))]]) ).
cnf(refute_0_667,plain,
( multiplication(addition(X_78,one),strong_iteration(X_157)) != addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157)))
| addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))) = multiplication(addition(X_78,one),strong_iteration(X_157)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_78,one),strong_iteration(X_157)))),bind(Y,$fot(addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157)))))]]) ).
cnf(refute_0_668,plain,
addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))) = multiplication(addition(X_78,one),strong_iteration(X_157)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_78,one),strong_iteration(X_157)),addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157)))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
( addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) != addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157)))
| addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))) != multiplication(addition(X_78,one),strong_iteration(X_157))
| addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) = multiplication(addition(X_78,one),strong_iteration(X_157)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))),multiplication(addition(X_78,one),strong_iteration(X_157))) ),[0],$fot(addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))))]]) ).
cnf(refute_0_670,plain,
( addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) != addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157)))
| addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) = multiplication(addition(X_78,one),strong_iteration(X_157)) ),
inference(resolve,[$cnf( $equal(addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))),multiplication(addition(X_78,one),strong_iteration(X_157))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) = multiplication(addition(X_78,one),strong_iteration(X_157)),
inference(resolve,[$cnf( $equal(addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))),addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157)))) )],[refute_0_665,refute_0_670]) ).
cnf(refute_0_672,plain,
( multiplication(addition(one,X_81),X_82) != addition(X_82,multiplication(X_81,X_82))
| addition(X_82,multiplication(X_81,X_82)) = multiplication(addition(one,X_81),X_82) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(one,X_81),X_82))),bind(Y,$fot(addition(X_82,multiplication(X_81,X_82))))]]) ).
cnf(refute_0_673,plain,
addition(X_82,multiplication(X_81,X_82)) = multiplication(addition(one,X_81),X_82),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_81),X_82),addition(X_82,multiplication(X_81,X_82))) )],[refute_0_405,refute_0_672]) ).
cnf(refute_0_674,plain,
addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))) = multiplication(addition(one,X_78),strong_iteration(X_157)),
inference(subst,[],[refute_0_673:[bind(X_81,$fot(X_78)),bind(X_82,$fot(strong_iteration(X_157)))]]) ).
cnf(refute_0_675,plain,
( addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) != addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157)))
| addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))) != multiplication(addition(one,X_78),strong_iteration(X_157))
| addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) = multiplication(addition(one,X_78),strong_iteration(X_157)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))))),bind(Y,$fot(addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))))),bind(Z,$fot(multiplication(addition(one,X_78),strong_iteration(X_157))))]]) ).
cnf(refute_0_676,plain,
( addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))) != multiplication(addition(one,X_78),strong_iteration(X_157))
| addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) = multiplication(addition(one,X_78),strong_iteration(X_157)) ),
inference(resolve,[$cnf( $equal(addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))),addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157)))) )],[refute_0_665,refute_0_675]) ).
cnf(refute_0_677,plain,
addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) = multiplication(addition(one,X_78),strong_iteration(X_157)),
inference(resolve,[$cnf( $equal(addition(strong_iteration(X_157),multiplication(X_78,strong_iteration(X_157))),multiplication(addition(one,X_78),strong_iteration(X_157))) )],[refute_0_674,refute_0_676]) ).
cnf(refute_0_678,plain,
( addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) != multiplication(addition(X_78,one),strong_iteration(X_157))
| addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) != multiplication(addition(one,X_78),strong_iteration(X_157))
| multiplication(addition(one,X_78),strong_iteration(X_157)) = multiplication(addition(X_78,one),strong_iteration(X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))),multiplication(addition(X_78,one),strong_iteration(X_157))) ),[0],$fot(multiplication(addition(one,X_78),strong_iteration(X_157)))]]) ).
cnf(refute_0_679,plain,
( addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))) != multiplication(addition(X_78,one),strong_iteration(X_157))
| multiplication(addition(one,X_78),strong_iteration(X_157)) = multiplication(addition(X_78,one),strong_iteration(X_157)) ),
inference(resolve,[$cnf( $equal(addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))),multiplication(addition(one,X_78),strong_iteration(X_157))) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
multiplication(addition(one,X_78),strong_iteration(X_157)) = multiplication(addition(X_78,one),strong_iteration(X_157)),
inference(resolve,[$cnf( $equal(addition(star(X_157),addition(multiplication(strong_iteration(X_157),zero),multiplication(X_78,strong_iteration(X_157)))),multiplication(addition(X_78,one),strong_iteration(X_157))) )],[refute_0_671,refute_0_679]) ).
cnf(refute_0_681,plain,
( multiplication(addition(one,X_78),strong_iteration(X_157)) != multiplication(addition(X_78,one),strong_iteration(X_157))
| multiplication(addition(X_78,one),strong_iteration(X_157)) = multiplication(addition(one,X_78),strong_iteration(X_157)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(one,X_78),strong_iteration(X_157)))),bind(Y,$fot(multiplication(addition(X_78,one),strong_iteration(X_157))))]]) ).
cnf(refute_0_682,plain,
multiplication(addition(X_78,one),strong_iteration(X_157)) = multiplication(addition(one,X_78),strong_iteration(X_157)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_78),strong_iteration(X_157)),multiplication(addition(X_78,one),strong_iteration(X_157))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) = multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)),
inference(subst,[],[refute_0_682:[bind(X_157,$fot(X_187)),bind(X_78,$fot(multiplication(X_187,strong_iteration(X_187))))]]) ).
cnf(refute_0_684,plain,
( multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) != multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187))
| multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)) != multiplication(strong_iteration(X_187),strong_iteration(X_187))
| multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) = multiplication(strong_iteration(X_187),strong_iteration(X_187)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)))),bind(Y,$fot(multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)))),bind(Z,$fot(multiplication(strong_iteration(X_187),strong_iteration(X_187))))]]) ).
cnf(refute_0_685,plain,
( multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)) != multiplication(strong_iteration(X_187),strong_iteration(X_187))
| multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) = multiplication(strong_iteration(X_187),strong_iteration(X_187)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)),multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) = multiplication(strong_iteration(X_187),strong_iteration(X_187)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,multiplication(X_187,strong_iteration(X_187))),strong_iteration(X_187)),multiplication(strong_iteration(X_187),strong_iteration(X_187))) )],[refute_0_658,refute_0_685]) ).
cnf(refute_0_687,plain,
( multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) != addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))
| multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) != multiplication(strong_iteration(X_187),strong_iteration(X_187))
| multiplication(strong_iteration(X_187),strong_iteration(X_187)) = addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)),addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) ),[0],$fot(multiplication(strong_iteration(X_187),strong_iteration(X_187)))]]) ).
cnf(refute_0_688,plain,
( multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) != addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))
| multiplication(strong_iteration(X_187),strong_iteration(X_187)) = addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)),multiplication(strong_iteration(X_187),strong_iteration(X_187))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
addition(one,strong_iteration(X_187)) = strong_iteration(X_187),
inference(subst,[],[refute_0_522:[bind(A,$fot(X_187))]]) ).
cnf(refute_0_690,plain,
addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) = addition(X_170,addition(one,multiplication(A,strong_iteration(A)))),
inference(subst,[],[refute_0_94:[bind(A,$fot(multiplication(A,strong_iteration(A)))),bind(X_64,$fot(X_170)),bind(X_65,$fot(one))]]) ).
cnf(refute_0_691,plain,
( addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) != addition(X_170,addition(one,multiplication(A,strong_iteration(A))))
| addition(one,multiplication(A,strong_iteration(A))) != strong_iteration(A)
| addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) = addition(X_170,strong_iteration(A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(A,strong_iteration(A)),addition(X_170,one)),addition(X_170,addition(one,multiplication(A,strong_iteration(A))))) ),[1,1],$fot(strong_iteration(A))]]) ).
cnf(refute_0_692,plain,
( addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) != addition(X_170,addition(one,multiplication(A,strong_iteration(A))))
| addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) = addition(X_170,strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,strong_iteration(A))),strong_iteration(A)) )],[refute_0_516,refute_0_691]) ).
cnf(refute_0_693,plain,
addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) = addition(X_170,strong_iteration(A)),
inference(resolve,[$cnf( $equal(addition(multiplication(A,strong_iteration(A)),addition(X_170,one)),addition(X_170,addition(one,multiplication(A,strong_iteration(A))))) )],[refute_0_690,refute_0_692]) ).
cnf(refute_0_694,plain,
addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) = addition(one,addition(X_170,multiplication(A,strong_iteration(A)))),
inference(subst,[],[refute_0_381:[bind(X_169,$fot(one)),bind(X_170,$fot(multiplication(A,strong_iteration(A)))),bind(X_171,$fot(X_170))]]) ).
cnf(refute_0_695,plain,
( addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) != addition(X_170,strong_iteration(A))
| addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) != addition(one,addition(X_170,multiplication(A,strong_iteration(A))))
| addition(one,addition(X_170,multiplication(A,strong_iteration(A)))) = addition(X_170,strong_iteration(A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(A,strong_iteration(A)),addition(X_170,one)),addition(X_170,strong_iteration(A))) ),[0],$fot(addition(one,addition(X_170,multiplication(A,strong_iteration(A)))))]]) ).
cnf(refute_0_696,plain,
( addition(multiplication(A,strong_iteration(A)),addition(X_170,one)) != addition(X_170,strong_iteration(A))
| addition(one,addition(X_170,multiplication(A,strong_iteration(A)))) = addition(X_170,strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,strong_iteration(A)),addition(X_170,one)),addition(one,addition(X_170,multiplication(A,strong_iteration(A))))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
addition(one,addition(X_170,multiplication(A,strong_iteration(A)))) = addition(X_170,strong_iteration(A)),
inference(resolve,[$cnf( $equal(addition(multiplication(A,strong_iteration(A)),addition(X_170,one)),addition(X_170,strong_iteration(A))) )],[refute_0_693,refute_0_696]) ).
cnf(refute_0_698,plain,
addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))) = addition(one,strong_iteration(X_187)),
inference(subst,[],[refute_0_697:[bind(A,$fot(X_187)),bind(X_170,$fot(one))]]) ).
cnf(refute_0_699,plain,
( addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))) != addition(one,strong_iteration(X_187))
| addition(one,strong_iteration(X_187)) != strong_iteration(X_187)
| addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))) = strong_iteration(X_187) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),bind(Y,$fot(addition(one,strong_iteration(X_187)))),bind(Z,$fot(strong_iteration(X_187)))]]) ).
cnf(refute_0_700,plain,
( addition(one,strong_iteration(X_187)) != strong_iteration(X_187)
| addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))) = strong_iteration(X_187) ),
inference(resolve,[$cnf( $equal(addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))),addition(one,strong_iteration(X_187))) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))) = strong_iteration(X_187),
inference(resolve,[$cnf( $equal(addition(one,strong_iteration(X_187)),strong_iteration(X_187)) )],[refute_0_689,refute_0_700]) ).
cnf(refute_0_702,plain,
multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) = multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))),
introduced(tautology,[refl,[$fot(multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))]]) ).
cnf(refute_0_703,plain,
( addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))) != strong_iteration(X_187)
| multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) != multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))
| multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) = multiplication(strong_iteration(X_187),strong_iteration(X_187)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))),multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) ),[1,1],$fot(strong_iteration(X_187))]]) ).
cnf(refute_0_704,plain,
( addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))) != strong_iteration(X_187)
| multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) = multiplication(strong_iteration(X_187),strong_iteration(X_187)) ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))),multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) = multiplication(strong_iteration(X_187),strong_iteration(X_187)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))),strong_iteration(X_187)) )],[refute_0_701,refute_0_704]) ).
cnf(refute_0_706,plain,
multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) = multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),
introduced(tautology,[refl,[$fot(multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))))]]) ).
cnf(refute_0_707,plain,
( multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) != multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))
| multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) != multiplication(strong_iteration(X_187),strong_iteration(X_187))
| multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) = multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))) ),[1,1],$fot(multiplication(strong_iteration(X_187),strong_iteration(X_187)))]]) ).
cnf(refute_0_708,plain,
( multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) != multiplication(strong_iteration(X_187),strong_iteration(X_187))
| multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) = multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))) ),
inference(resolve,[$cnf( $equal(multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) = multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))),multiplication(strong_iteration(X_187),strong_iteration(X_187))) )],[refute_0_705,refute_0_708]) ).
cnf(refute_0_710,plain,
multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) = multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),
inference(subst,[],[refute_0_160:[bind(A,$fot(X_187)),bind(B,$fot(strong_iteration(X_187))),bind(C,$fot(addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))]]) ).
cnf(refute_0_711,plain,
( multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) != multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))
| multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) != multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))
| multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) = multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))),bind(Y,$fot(multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))))),bind(Z,$fot(multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))))]]) ).
cnf(refute_0_712,plain,
( multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) != multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))
| multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) = multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))),multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) = multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))),
inference(resolve,[$cnf( $equal(multiplication(X_187,multiplication(strong_iteration(X_187),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) )],[refute_0_709,refute_0_712]) ).
cnf(refute_0_714,plain,
addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),
introduced(tautology,[refl,[$fot(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))))]]) ).
cnf(refute_0_715,plain,
( addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) != addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))
| multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) != multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))
| addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))) ),[1,1],$fot(multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))))]]) ).
cnf(refute_0_716,plain,
( multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))) != multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))
| addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))),multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) )],[refute_0_713,refute_0_716]) ).
cnf(refute_0_718,plain,
addition(X_172,addition(multiplication(A,B),multiplication(A,C))) = addition(multiplication(A,B),addition(X_172,multiplication(A,C))),
inference(subst,[],[refute_0_604:[bind(X_64,$fot(X_172)),bind(X_65,$fot(multiplication(A,B))),bind(X_66,$fot(multiplication(A,C)))]]) ).
cnf(refute_0_719,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_720,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[distributivity1,refute_0_719]) ).
cnf(refute_0_721,plain,
( addition(X_172,addition(multiplication(A,B),multiplication(A,C))) != addition(multiplication(A,B),addition(X_172,multiplication(A,C)))
| addition(multiplication(A,B),multiplication(A,C)) != multiplication(A,addition(B,C))
| addition(X_172,multiplication(A,addition(B,C))) = addition(multiplication(A,B),addition(X_172,multiplication(A,C))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_172,addition(multiplication(A,B),multiplication(A,C))),addition(multiplication(A,B),addition(X_172,multiplication(A,C)))) ),[0,1],$fot(multiplication(A,addition(B,C)))]]) ).
cnf(refute_0_722,plain,
( addition(X_172,addition(multiplication(A,B),multiplication(A,C))) != addition(multiplication(A,B),addition(X_172,multiplication(A,C)))
| addition(X_172,multiplication(A,addition(B,C))) = addition(multiplication(A,B),addition(X_172,multiplication(A,C))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,C)),multiplication(A,addition(B,C))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
addition(X_172,multiplication(A,addition(B,C))) = addition(multiplication(A,B),addition(X_172,multiplication(A,C))),
inference(resolve,[$cnf( $equal(addition(X_172,addition(multiplication(A,B),multiplication(A,C))),addition(multiplication(A,B),addition(X_172,multiplication(A,C)))) )],[refute_0_718,refute_0_722]) ).
cnf(refute_0_724,plain,
addition(multiplication(A,C),addition(X_170,multiplication(A,B))) = addition(X_170,addition(multiplication(A,B),multiplication(A,C))),
inference(subst,[],[refute_0_94:[bind(A,$fot(multiplication(A,C))),bind(X_64,$fot(X_170)),bind(X_65,$fot(multiplication(A,B)))]]) ).
cnf(refute_0_725,plain,
( addition(multiplication(A,B),multiplication(A,C)) != multiplication(A,addition(B,C))
| addition(multiplication(A,C),addition(X_170,multiplication(A,B))) != addition(X_170,addition(multiplication(A,B),multiplication(A,C)))
| addition(multiplication(A,C),addition(X_170,multiplication(A,B))) = addition(X_170,multiplication(A,addition(B,C))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(A,C),addition(X_170,multiplication(A,B))),addition(X_170,addition(multiplication(A,B),multiplication(A,C)))) ),[1,1],$fot(multiplication(A,addition(B,C)))]]) ).
cnf(refute_0_726,plain,
( addition(multiplication(A,C),addition(X_170,multiplication(A,B))) != addition(X_170,addition(multiplication(A,B),multiplication(A,C)))
| addition(multiplication(A,C),addition(X_170,multiplication(A,B))) = addition(X_170,multiplication(A,addition(B,C))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,C)),multiplication(A,addition(B,C))) )],[refute_0_720,refute_0_725]) ).
cnf(refute_0_727,plain,
addition(multiplication(A,C),addition(X_170,multiplication(A,B))) = addition(X_170,multiplication(A,addition(B,C))),
inference(resolve,[$cnf( $equal(addition(multiplication(A,C),addition(X_170,multiplication(A,B))),addition(X_170,addition(multiplication(A,B),multiplication(A,C)))) )],[refute_0_724,refute_0_726]) ).
cnf(refute_0_728,plain,
addition(multiplication(A,B),addition(X_172,multiplication(A,C))) = addition(X_172,multiplication(A,addition(C,B))),
inference(subst,[],[refute_0_727:[bind(B,$fot(C)),bind(C,$fot(B)),bind(X_170,$fot(X_172))]]) ).
cnf(refute_0_729,plain,
( addition(X_172,multiplication(A,addition(B,C))) != addition(multiplication(A,B),addition(X_172,multiplication(A,C)))
| addition(multiplication(A,B),addition(X_172,multiplication(A,C))) != addition(X_172,multiplication(A,addition(C,B)))
| addition(X_172,multiplication(A,addition(B,C))) = addition(X_172,multiplication(A,addition(C,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_172,multiplication(A,addition(B,C))),addition(X_172,multiplication(A,addition(C,B)))) ),[0],$fot(addition(multiplication(A,B),addition(X_172,multiplication(A,C))))]]) ).
cnf(refute_0_730,plain,
( addition(X_172,multiplication(A,addition(B,C))) != addition(multiplication(A,B),addition(X_172,multiplication(A,C)))
| addition(X_172,multiplication(A,addition(B,C))) = addition(X_172,multiplication(A,addition(C,B))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),addition(X_172,multiplication(A,C))),addition(X_172,multiplication(A,addition(C,B)))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
addition(X_172,multiplication(A,addition(B,C))) = addition(X_172,multiplication(A,addition(C,B))),
inference(resolve,[$cnf( $equal(addition(X_172,multiplication(A,addition(B,C))),addition(multiplication(A,B),addition(X_172,multiplication(A,C)))) )],[refute_0_723,refute_0_730]) ).
cnf(refute_0_732,plain,
( addition(X_172,multiplication(A,addition(B,C))) != addition(X_172,multiplication(A,addition(C,B)))
| addition(X_172,multiplication(A,addition(C,B))) = addition(X_172,multiplication(A,addition(B,C))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_172,multiplication(A,addition(B,C))))),bind(Y,$fot(addition(X_172,multiplication(A,addition(C,B)))))]]) ).
cnf(refute_0_733,plain,
addition(X_172,multiplication(A,addition(C,B))) = addition(X_172,multiplication(A,addition(B,C))),
inference(resolve,[$cnf( $equal(addition(X_172,multiplication(A,addition(B,C))),addition(X_172,multiplication(A,addition(C,B)))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(addition(one,multiplication(X_187,strong_iteration(X_187))),one))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),
inference(subst,[],[refute_0_733:[bind(A,$fot(multiplication(X_187,strong_iteration(X_187)))),bind(B,$fot(one)),bind(C,$fot(addition(one,multiplication(X_187,strong_iteration(X_187))))),bind(X_172,$fot(one))]]) ).
cnf(refute_0_735,plain,
addition(X_172,addition(X_173,multiplication(X_173,X_31))) = addition(X_173,addition(X_172,multiplication(X_173,X_31))),
inference(subst,[],[refute_0_604:[bind(X_64,$fot(X_172)),bind(X_65,$fot(X_173)),bind(X_66,$fot(multiplication(X_173,X_31)))]]) ).
cnf(refute_0_736,plain,
multiplication(X_173,addition(X_31,one)) = addition(X_173,multiplication(X_173,X_31)),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(X_173))]]) ).
cnf(refute_0_737,plain,
( multiplication(X_173,addition(X_31,one)) != addition(X_173,multiplication(X_173,X_31))
| addition(X_173,multiplication(X_173,X_31)) = multiplication(X_173,addition(X_31,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_173,addition(X_31,one)))),bind(Y,$fot(addition(X_173,multiplication(X_173,X_31))))]]) ).
cnf(refute_0_738,plain,
addition(X_173,multiplication(X_173,X_31)) = multiplication(X_173,addition(X_31,one)),
inference(resolve,[$cnf( $equal(multiplication(X_173,addition(X_31,one)),addition(X_173,multiplication(X_173,X_31))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
( addition(X_172,addition(X_173,multiplication(X_173,X_31))) != addition(X_173,addition(X_172,multiplication(X_173,X_31)))
| addition(X_173,multiplication(X_173,X_31)) != multiplication(X_173,addition(X_31,one))
| addition(X_172,multiplication(X_173,addition(X_31,one))) = addition(X_173,addition(X_172,multiplication(X_173,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_172,addition(X_173,multiplication(X_173,X_31))),addition(X_173,addition(X_172,multiplication(X_173,X_31)))) ),[0,1],$fot(multiplication(X_173,addition(X_31,one)))]]) ).
cnf(refute_0_740,plain,
( addition(X_172,addition(X_173,multiplication(X_173,X_31))) != addition(X_173,addition(X_172,multiplication(X_173,X_31)))
| addition(X_172,multiplication(X_173,addition(X_31,one))) = addition(X_173,addition(X_172,multiplication(X_173,X_31))) ),
inference(resolve,[$cnf( $equal(addition(X_173,multiplication(X_173,X_31)),multiplication(X_173,addition(X_31,one))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
addition(X_172,multiplication(X_173,addition(X_31,one))) = addition(X_173,addition(X_172,multiplication(X_173,X_31))),
inference(resolve,[$cnf( $equal(addition(X_172,addition(X_173,multiplication(X_173,X_31))),addition(X_173,addition(X_172,multiplication(X_173,X_31)))) )],[refute_0_735,refute_0_740]) ).
cnf(refute_0_742,plain,
( addition(X_172,multiplication(X_173,addition(X_31,one))) != addition(X_173,addition(X_172,multiplication(X_173,X_31)))
| addition(X_173,addition(X_172,multiplication(X_173,X_31))) = addition(X_172,multiplication(X_173,addition(X_31,one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_172,multiplication(X_173,addition(X_31,one))))),bind(Y,$fot(addition(X_173,addition(X_172,multiplication(X_173,X_31)))))]]) ).
cnf(refute_0_743,plain,
addition(X_173,addition(X_172,multiplication(X_173,X_31))) = addition(X_172,multiplication(X_173,addition(X_31,one))),
inference(resolve,[$cnf( $equal(addition(X_172,multiplication(X_173,addition(X_31,one))),addition(X_173,addition(X_172,multiplication(X_173,X_31)))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(addition(one,multiplication(X_187,strong_iteration(X_187))),one))),
inference(subst,[],[refute_0_743:[bind(X_172,$fot(one)),bind(X_173,$fot(multiplication(X_187,strong_iteration(X_187)))),bind(X_31,$fot(addition(one,multiplication(X_187,strong_iteration(X_187)))))]]) ).
cnf(refute_0_745,plain,
( addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) != addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(addition(one,multiplication(X_187,strong_iteration(X_187))),one)))
| addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(addition(one,multiplication(X_187,strong_iteration(X_187))),one))) != addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))
| addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))))),bind(Y,$fot(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(addition(one,multiplication(X_187,strong_iteration(X_187))),one))))),bind(Z,$fot(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))))]]) ).
cnf(refute_0_746,plain,
( addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(addition(one,multiplication(X_187,strong_iteration(X_187))),one))) != addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))
| addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(addition(one,multiplication(X_187,strong_iteration(X_187))),one)))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),
inference(resolve,[$cnf( $equal(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(addition(one,multiplication(X_187,strong_iteration(X_187))),one))),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))) )],[refute_0_734,refute_0_746]) ).
cnf(refute_0_748,plain,
addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) = addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))),
inference(subst,[],[refute_0_80:[bind(A,$fot(multiplication(X_187,strong_iteration(X_187)))),bind(B,$fot(one)),bind(C,$fot(multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))))]]) ).
cnf(refute_0_749,plain,
( addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) != addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))))
| addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) != addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))
| addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))))),bind(Y,$fot(addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))))),bind(Z,$fot(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))))]]) ).
cnf(refute_0_750,plain,
( addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) != addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))
| addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))),addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) = addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))) )],[refute_0_747,refute_0_750]) ).
cnf(refute_0_752,plain,
( addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) != addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))
| addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) != addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))))
| addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))))),bind(Y,$fot(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))))),bind(Z,$fot(addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))))))]]) ).
cnf(refute_0_753,plain,
( addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))) != addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))))
| addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) ),
inference(resolve,[$cnf( $equal(addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))),addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187))))))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))),
inference(resolve,[$cnf( $equal(addition(one,multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,addition(one,multiplication(X_187,strong_iteration(X_187)))))),addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))))) )],[refute_0_717,refute_0_753]) ).
cnf(refute_0_755,plain,
( addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))) != addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))))
| multiplication(strong_iteration(X_187),strong_iteration(X_187)) != addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))
| multiplication(strong_iteration(X_187),strong_iteration(X_187)) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(strong_iteration(X_187),strong_iteration(X_187)),addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) ),[1],$fot(addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))))]]) ).
cnf(refute_0_756,plain,
( multiplication(strong_iteration(X_187),strong_iteration(X_187)) != addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))
| multiplication(strong_iteration(X_187),strong_iteration(X_187)) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) ),
inference(resolve,[$cnf( $equal(addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187))))),addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187))))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
( multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)) != addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))
| multiplication(strong_iteration(X_187),strong_iteration(X_187)) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))) ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_187),strong_iteration(X_187)),addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) )],[refute_0_688,refute_0_756]) ).
cnf(refute_0_758,plain,
multiplication(strong_iteration(X_187),strong_iteration(X_187)) = addition(one,multiplication(X_187,multiplication(strong_iteration(X_187),strong_iteration(X_187)))),
inference(resolve,[$cnf( $equal(multiplication(addition(multiplication(X_187,strong_iteration(X_187)),one),strong_iteration(X_187)),addition(addition(multiplication(X_187,strong_iteration(X_187)),one),multiplication(multiplication(X_187,strong_iteration(X_187)),addition(one,multiplication(X_187,strong_iteration(X_187)))))) )],[refute_0_653,refute_0_757]) ).
cnf(refute_0_759,plain,
multiplication(strong_iteration(X_740),strong_iteration(X_740)) = addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))),
inference(subst,[],[refute_0_758:[bind(X_187,$fot(X_740))]]) ).
cnf(refute_0_760,plain,
( multiplication(strong_iteration(X_740),strong_iteration(X_740)) != addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))
| addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))) = multiplication(strong_iteration(X_740),strong_iteration(X_740)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(strong_iteration(X_740),strong_iteration(X_740)))),bind(Y,$fot(addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))))]]) ).
cnf(refute_0_761,plain,
addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))) = multiplication(strong_iteration(X_740),strong_iteration(X_740)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_740),strong_iteration(X_740)),addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
( addition(A,addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))) != addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))
| addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))) != multiplication(strong_iteration(X_740),strong_iteration(X_740))
| addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))),addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))) ),[0,1],$fot(multiplication(strong_iteration(X_740),strong_iteration(X_740)))]]) ).
cnf(refute_0_763,plain,
( addition(A,addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))) != addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))
| addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))),multiplication(strong_iteration(X_740),strong_iteration(X_740))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)),
inference(resolve,[$cnf( $equal(addition(A,addition(one,multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))),addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))) )],[refute_0_635,refute_0_763]) ).
cnf(refute_0_765,plain,
ifeq2(leq(multiplication(strong_iteration(X_741),strong_iteration(X_741)),strong_iteration(X_741)),true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = strong_iteration(X_741),
inference(subst,[],[refute_0_9:[bind(X_21,$fot(multiplication(strong_iteration(X_741),strong_iteration(X_741)))),bind(X_22,$fot(strong_iteration(X_741)))]]) ).
cnf(refute_0_766,plain,
ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,multiplication(strong_iteration(X_127),one)),true) = true,
inference(subst,[],[infty_coinduction:[bind(A,$fot(X_127)),bind(B,$fot(one)),bind(C,$fot(X_129))]]) ).
cnf(refute_0_767,plain,
multiplication(strong_iteration(X_127),one) = strong_iteration(X_127),
inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(strong_iteration(X_127)))]]) ).
cnf(refute_0_768,plain,
( ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,multiplication(strong_iteration(X_127),one)),true) != true
| multiplication(strong_iteration(X_127),one) != strong_iteration(X_127)
| ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,multiplication(strong_iteration(X_127),one)),true),true) ),[0,2,1],$fot(strong_iteration(X_127))]]) ).
cnf(refute_0_769,plain,
( ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,multiplication(strong_iteration(X_127),one)),true) != true
| ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_127),one),strong_iteration(X_127)) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,multiplication(strong_iteration(X_127),one)),true),true) )],[refute_0_766,refute_0_769]) ).
cnf(refute_0_771,plain,
addition(multiplication(X_127,X_129),one) = addition(one,multiplication(X_127,X_129)),
inference(subst,[],[refute_0_17:[bind(A,$fot(one)),bind(B,$fot(multiplication(X_127,X_129)))]]) ).
cnf(refute_0_772,plain,
leq(X_129,addition(multiplication(X_127,X_129),one)) = leq(X_129,addition(multiplication(X_127,X_129),one)),
introduced(tautology,[refl,[$fot(leq(X_129,addition(multiplication(X_127,X_129),one)))]]) ).
cnf(refute_0_773,plain,
( addition(multiplication(X_127,X_129),one) != addition(one,multiplication(X_127,X_129))
| leq(X_129,addition(multiplication(X_127,X_129),one)) != leq(X_129,addition(multiplication(X_127,X_129),one))
| leq(X_129,addition(multiplication(X_127,X_129),one)) = leq(X_129,addition(one,multiplication(X_127,X_129))) ),
introduced(tautology,[equality,[$cnf( $equal(leq(X_129,addition(multiplication(X_127,X_129),one)),leq(X_129,addition(multiplication(X_127,X_129),one))) ),[1,1],$fot(addition(one,multiplication(X_127,X_129)))]]) ).
cnf(refute_0_774,plain,
( addition(multiplication(X_127,X_129),one) != addition(one,multiplication(X_127,X_129))
| leq(X_129,addition(multiplication(X_127,X_129),one)) = leq(X_129,addition(one,multiplication(X_127,X_129))) ),
inference(resolve,[$cnf( $equal(leq(X_129,addition(multiplication(X_127,X_129),one)),leq(X_129,addition(multiplication(X_127,X_129),one))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
leq(X_129,addition(multiplication(X_127,X_129),one)) = leq(X_129,addition(one,multiplication(X_127,X_129))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_127,X_129),one),addition(one,multiplication(X_127,X_129))) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) = ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true),
introduced(tautology,[refl,[$fot(ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true))]]) ).
cnf(refute_0_777,plain,
( ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) != ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true)
| leq(X_129,addition(multiplication(X_127,X_129),one)) != leq(X_129,addition(one,multiplication(X_127,X_129)))
| ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) = ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true),ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true)) ),[1,0],$fot(leq(X_129,addition(one,multiplication(X_127,X_129))))]]) ).
cnf(refute_0_778,plain,
( leq(X_129,addition(multiplication(X_127,X_129),one)) != leq(X_129,addition(one,multiplication(X_127,X_129)))
| ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) = ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true),ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true)) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) = ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true),
inference(resolve,[$cnf( $equal(leq(X_129,addition(multiplication(X_127,X_129),one)),leq(X_129,addition(one,multiplication(X_127,X_129)))) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
( ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) != ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true)
| ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) != true
| ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true),true) ),[0],$fot(ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true))]]) ).
cnf(refute_0_781,plain,
( ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true) != true
| ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true),ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true)) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
ifeq(leq(X_129,addition(one,multiplication(X_127,X_129))),true,leq(X_129,strong_iteration(X_127)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(X_129,addition(multiplication(X_127,X_129),one)),true,leq(X_129,strong_iteration(X_127)),true),true) )],[refute_0_770,refute_0_781]) ).
cnf(refute_0_783,plain,
ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127))))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = true,
inference(subst,[],[refute_0_782:[bind(X_129,$fot(multiplication(strong_iteration(X_127),strong_iteration(X_127))))]]) ).
cnf(refute_0_784,plain,
multiplication(strong_iteration(X_127),strong_iteration(X_127)) = addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127)))),
inference(subst,[],[refute_0_758:[bind(X_187,$fot(X_127))]]) ).
cnf(refute_0_785,plain,
( multiplication(strong_iteration(X_127),strong_iteration(X_127)) != addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127))))
| addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127)))) = multiplication(strong_iteration(X_127),strong_iteration(X_127)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(strong_iteration(X_127),strong_iteration(X_127)))),bind(Y,$fot(addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127))))))]]) ).
cnf(refute_0_786,plain,
addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127)))) = multiplication(strong_iteration(X_127),strong_iteration(X_127)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_127),strong_iteration(X_127)),addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127))))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
( addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127)))) != multiplication(strong_iteration(X_127),strong_iteration(X_127))
| ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127))))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != true
| ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127))))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),true) ),[0,0,1],$fot(multiplication(strong_iteration(X_127),strong_iteration(X_127)))]]) ).
cnf(refute_0_788,plain,
( ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127))))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != true
| ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = true ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127)))),multiplication(strong_iteration(X_127),strong_iteration(X_127))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),addition(one,multiplication(X_127,multiplication(strong_iteration(X_127),strong_iteration(X_127))))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),true) )],[refute_0_783,refute_0_788]) ).
cnf(refute_0_790,plain,
ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)))),bind(C,$fot(true))]]) ).
cnf(refute_0_791,plain,
leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))) = true,
inference(subst,[],[refute_0_198:[bind(X_26,$fot(multiplication(strong_iteration(X_127),strong_iteration(X_127))))]]) ).
cnf(refute_0_792,plain,
ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),
introduced(tautology,[refl,[$fot(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true))]]) ).
cnf(refute_0_793,plain,
( ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true)
| leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))) != true
| ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_794,plain,
( leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))) != true
| ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true)) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),
inference(resolve,[$cnf( $equal(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true) )],[refute_0_791,refute_0_794]) ).
cnf(refute_0_796,plain,
( ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true)
| ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127))
| ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true))),bind(Y,$fot(ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true))),bind(Z,$fot(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127))))]]) ).
cnf(refute_0_797,plain,
( ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127))
| ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)) ),
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true)) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) = leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127))) )],[refute_0_790,refute_0_797]) ).
cnf(refute_0_799,plain,
( ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127))
| ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != true
| leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),true) ),[0],$fot(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)))]]) ).
cnf(refute_0_800,plain,
( ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true) != true
| leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),multiplication(strong_iteration(X_127),strong_iteration(X_127))),true,leq(multiplication(strong_iteration(X_127),strong_iteration(X_127)),strong_iteration(X_127)),true),true) )],[refute_0_789,refute_0_800]) ).
cnf(refute_0_802,plain,
leq(multiplication(strong_iteration(X_741),strong_iteration(X_741)),strong_iteration(X_741)) = true,
inference(subst,[],[refute_0_801:[bind(X_127,$fot(X_741))]]) ).
cnf(refute_0_803,plain,
( ifeq2(leq(multiplication(strong_iteration(X_741),strong_iteration(X_741)),strong_iteration(X_741)),true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) != strong_iteration(X_741)
| leq(multiplication(strong_iteration(X_741),strong_iteration(X_741)),strong_iteration(X_741)) != true
| ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = strong_iteration(X_741) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(multiplication(strong_iteration(X_741),strong_iteration(X_741)),strong_iteration(X_741)),true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)),strong_iteration(X_741)) ),[0,0],$fot(true)]]) ).
cnf(refute_0_804,plain,
( ifeq2(leq(multiplication(strong_iteration(X_741),strong_iteration(X_741)),strong_iteration(X_741)),true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) != strong_iteration(X_741)
| ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = strong_iteration(X_741) ),
inference(resolve,[$cnf( $equal(leq(multiplication(strong_iteration(X_741),strong_iteration(X_741)),strong_iteration(X_741)),true) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = strong_iteration(X_741),
inference(resolve,[$cnf( $equal(ifeq2(leq(multiplication(strong_iteration(X_741),strong_iteration(X_741)),strong_iteration(X_741)),true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)),strong_iteration(X_741)) )],[refute_0_765,refute_0_804]) ).
cnf(refute_0_806,plain,
addition(one,strong_iteration(X_741)) = strong_iteration(X_741),
inference(subst,[],[refute_0_522:[bind(A,$fot(X_741))]]) ).
cnf(refute_0_807,plain,
multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) = multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))),
introduced(tautology,[refl,[$fot(multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))))]]) ).
cnf(refute_0_808,plain,
( addition(one,strong_iteration(X_741)) != strong_iteration(X_741)
| multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) != multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))
| multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) = multiplication(strong_iteration(X_741),strong_iteration(X_741)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))),multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))) ),[1,1],$fot(strong_iteration(X_741))]]) ).
cnf(refute_0_809,plain,
( addition(one,strong_iteration(X_741)) != strong_iteration(X_741)
| multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) = multiplication(strong_iteration(X_741),strong_iteration(X_741)) ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))),multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) = multiplication(strong_iteration(X_741),strong_iteration(X_741)),
inference(resolve,[$cnf( $equal(addition(one,strong_iteration(X_741)),strong_iteration(X_741)) )],[refute_0_806,refute_0_809]) ).
cnf(refute_0_811,plain,
multiplication(X_167,addition(one,X_167)) = multiplication(addition(X_167,one),X_167),
inference(subst,[],[refute_0_647:[bind(X_32,$fot(X_167))]]) ).
cnf(refute_0_812,plain,
addition(one,X_167) = addition(X_167,one),
inference(subst,[],[additive_commutativity:[bind(A,$fot(one)),bind(B,$fot(X_167))]]) ).
cnf(refute_0_813,plain,
( addition(one,X_167) != addition(X_167,one)
| addition(X_167,one) = addition(one,X_167) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(one,X_167))),bind(Y,$fot(addition(X_167,one)))]]) ).
cnf(refute_0_814,plain,
addition(X_167,one) = addition(one,X_167),
inference(resolve,[$cnf( $equal(addition(one,X_167),addition(X_167,one)) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
( addition(X_167,one) != addition(one,X_167)
| multiplication(X_167,addition(one,X_167)) != multiplication(addition(X_167,one),X_167)
| multiplication(X_167,addition(one,X_167)) = multiplication(addition(one,X_167),X_167) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_167,addition(one,X_167)),multiplication(addition(X_167,one),X_167)) ),[1,0],$fot(addition(one,X_167))]]) ).
cnf(refute_0_816,plain,
( multiplication(X_167,addition(one,X_167)) != multiplication(addition(X_167,one),X_167)
| multiplication(X_167,addition(one,X_167)) = multiplication(addition(one,X_167),X_167) ),
inference(resolve,[$cnf( $equal(addition(X_167,one),addition(one,X_167)) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
multiplication(X_167,addition(one,X_167)) = multiplication(addition(one,X_167),X_167),
inference(resolve,[$cnf( $equal(multiplication(X_167,addition(one,X_167)),multiplication(addition(X_167,one),X_167)) )],[refute_0_811,refute_0_816]) ).
cnf(refute_0_818,plain,
( multiplication(X_167,addition(one,X_167)) != multiplication(addition(one,X_167),X_167)
| multiplication(addition(one,X_167),X_167) = multiplication(X_167,addition(one,X_167)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_167,addition(one,X_167)))),bind(Y,$fot(multiplication(addition(one,X_167),X_167)))]]) ).
cnf(refute_0_819,plain,
multiplication(addition(one,X_167),X_167) = multiplication(X_167,addition(one,X_167)),
inference(resolve,[$cnf( $equal(multiplication(X_167,addition(one,X_167)),multiplication(addition(one,X_167),X_167)) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
multiplication(addition(one,strong_iteration(X_741)),strong_iteration(X_741)) = multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))),
inference(subst,[],[refute_0_819:[bind(X_167,$fot(strong_iteration(X_741)))]]) ).
cnf(refute_0_821,plain,
addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))) = multiplication(addition(one,strong_iteration(X_741)),strong_iteration(X_741)),
inference(subst,[],[refute_0_257:[bind(X_216,$fot(strong_iteration(X_741))),bind(X_80,$fot(strong_iteration(X_741)))]]) ).
cnf(refute_0_822,plain,
( addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))) != multiplication(addition(one,strong_iteration(X_741)),strong_iteration(X_741))
| multiplication(addition(one,strong_iteration(X_741)),strong_iteration(X_741)) != multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))
| addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))) = multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))))),bind(Y,$fot(multiplication(addition(one,strong_iteration(X_741)),strong_iteration(X_741)))),bind(Z,$fot(multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))))]]) ).
cnf(refute_0_823,plain,
( multiplication(addition(one,strong_iteration(X_741)),strong_iteration(X_741)) != multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))
| addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))) = multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) ),
inference(resolve,[$cnf( $equal(addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),multiplication(addition(one,strong_iteration(X_741)),strong_iteration(X_741))) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))) = multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,strong_iteration(X_741)),strong_iteration(X_741)),multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))) )],[refute_0_820,refute_0_823]) ).
cnf(refute_0_825,plain,
ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))))),bind(C,$fot(strong_iteration(X_741)))]]) ).
cnf(refute_0_826,plain,
( addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))) != multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))
| ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) != addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741)))
| ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)))),bind(Y,$fot(addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))))),bind(Z,$fot(multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))))]]) ).
cnf(refute_0_827,plain,
( addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))) != multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))
| ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)),addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741)))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))),
inference(resolve,[$cnf( $equal(addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
( ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) != multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))
| multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) != multiplication(strong_iteration(X_741),strong_iteration(X_741))
| ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = multiplication(strong_iteration(X_741),strong_iteration(X_741)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)))),bind(Y,$fot(multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))))),bind(Z,$fot(multiplication(strong_iteration(X_741),strong_iteration(X_741))))]]) ).
cnf(refute_0_830,plain,
( multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))) != multiplication(strong_iteration(X_741),strong_iteration(X_741))
| ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = multiplication(strong_iteration(X_741),strong_iteration(X_741)) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)),multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741)))) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) = multiplication(strong_iteration(X_741),strong_iteration(X_741)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_741),addition(one,strong_iteration(X_741))),multiplication(strong_iteration(X_741),strong_iteration(X_741))) )],[refute_0_810,refute_0_830]) ).
cnf(refute_0_832,plain,
( ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) != multiplication(strong_iteration(X_741),strong_iteration(X_741))
| ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) != strong_iteration(X_741)
| multiplication(strong_iteration(X_741),strong_iteration(X_741)) = strong_iteration(X_741) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)),strong_iteration(X_741)) ),[0],$fot(multiplication(strong_iteration(X_741),strong_iteration(X_741)))]]) ).
cnf(refute_0_833,plain,
( ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)) != strong_iteration(X_741)
| multiplication(strong_iteration(X_741),strong_iteration(X_741)) = strong_iteration(X_741) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)),multiplication(strong_iteration(X_741),strong_iteration(X_741))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
multiplication(strong_iteration(X_741),strong_iteration(X_741)) = strong_iteration(X_741),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(strong_iteration(X_741),multiplication(strong_iteration(X_741),strong_iteration(X_741))),strong_iteration(X_741)),strong_iteration(X_741)) )],[refute_0_805,refute_0_833]) ).
cnf(refute_0_835,plain,
multiplication(strong_iteration(X_740),strong_iteration(X_740)) = strong_iteration(X_740),
inference(subst,[],[refute_0_834:[bind(X_741,$fot(X_740))]]) ).
cnf(refute_0_836,plain,
addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))),
introduced(tautology,[refl,[$fot(addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))))]]) ).
cnf(refute_0_837,plain,
( addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) != addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740)))
| multiplication(strong_iteration(X_740),strong_iteration(X_740)) != strong_iteration(X_740)
| addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = addition(A,strong_iteration(X_740)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))),addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740)))) ),[1,1],$fot(strong_iteration(X_740))]]) ).
cnf(refute_0_838,plain,
( multiplication(strong_iteration(X_740),strong_iteration(X_740)) != strong_iteration(X_740)
| addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = addition(A,strong_iteration(X_740)) ),
inference(resolve,[$cnf( $equal(addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))),addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740)))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = addition(A,strong_iteration(X_740)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_740),strong_iteration(X_740)),strong_iteration(X_740)) )],[refute_0_835,refute_0_838]) ).
cnf(refute_0_840,plain,
( addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) != addition(A,strong_iteration(X_740))
| addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) != addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))
| addition(A,strong_iteration(X_740)) = addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))),addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))) ),[0],$fot(addition(A,strong_iteration(X_740)))]]) ).
cnf(refute_0_841,plain,
( addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) != addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))
| addition(A,strong_iteration(X_740)) = addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) ),
inference(resolve,[$cnf( $equal(addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))),addition(A,strong_iteration(X_740))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
addition(one,addition(multiplication(A,strong_iteration(A)),X_66)) = addition(addition(one,multiplication(A,strong_iteration(A))),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(one)),bind(B,$fot(multiplication(A,strong_iteration(A)))),bind(C,$fot(X_66))]]) ).
cnf(refute_0_843,plain,
( addition(one,addition(multiplication(A,strong_iteration(A)),X_66)) != addition(addition(one,multiplication(A,strong_iteration(A))),X_66)
| addition(one,multiplication(A,strong_iteration(A))) != strong_iteration(A)
| addition(one,addition(multiplication(A,strong_iteration(A)),X_66)) = addition(strong_iteration(A),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(A,strong_iteration(A)),X_66)),addition(addition(one,multiplication(A,strong_iteration(A))),X_66)) ),[1,0],$fot(strong_iteration(A))]]) ).
cnf(refute_0_844,plain,
( addition(one,addition(multiplication(A,strong_iteration(A)),X_66)) != addition(addition(one,multiplication(A,strong_iteration(A))),X_66)
| addition(one,addition(multiplication(A,strong_iteration(A)),X_66)) = addition(strong_iteration(A),X_66) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,strong_iteration(A))),strong_iteration(A)) )],[refute_0_516,refute_0_843]) ).
cnf(refute_0_845,plain,
addition(one,addition(multiplication(A,strong_iteration(A)),X_66)) = addition(strong_iteration(A),X_66),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,strong_iteration(A)),X_66)),addition(addition(one,multiplication(A,strong_iteration(A))),X_66)) )],[refute_0_842,refute_0_844]) ).
cnf(refute_0_846,plain,
addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A)) = addition(strong_iteration(X_740),A),
inference(subst,[],[refute_0_845:[bind(A,$fot(X_740)),bind(X_66,$fot(A))]]) ).
cnf(refute_0_847,plain,
multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),
introduced(tautology,[refl,[$fot(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))))]]) ).
cnf(refute_0_848,plain,
( multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))) != multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))
| multiplication(strong_iteration(X_740),strong_iteration(X_740)) != strong_iteration(X_740)
| multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = multiplication(X_740,strong_iteration(X_740)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))) ),[1,1],$fot(strong_iteration(X_740))]]) ).
cnf(refute_0_849,plain,
( multiplication(strong_iteration(X_740),strong_iteration(X_740)) != strong_iteration(X_740)
| multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = multiplication(X_740,strong_iteration(X_740)) ),
inference(resolve,[$cnf( $equal(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740)))) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))) = multiplication(X_740,strong_iteration(X_740)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_740),strong_iteration(X_740)),strong_iteration(X_740)) )],[refute_0_835,refute_0_849]) ).
cnf(refute_0_851,plain,
addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A) = addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A),
introduced(tautology,[refl,[$fot(addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))]]) ).
cnf(refute_0_852,plain,
( addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A) != addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)
| multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))) != multiplication(X_740,strong_iteration(X_740))
| addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A) = addition(multiplication(X_740,strong_iteration(X_740)),A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A),addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) ),[1,0],$fot(multiplication(X_740,strong_iteration(X_740)))]]) ).
cnf(refute_0_853,plain,
( multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))) != multiplication(X_740,strong_iteration(X_740))
| addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A) = addition(multiplication(X_740,strong_iteration(X_740)),A) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A),addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A) = addition(multiplication(X_740,strong_iteration(X_740)),A),
inference(resolve,[$cnf( $equal(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),multiplication(X_740,strong_iteration(X_740))) )],[refute_0_850,refute_0_853]) ).
cnf(refute_0_855,plain,
addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) = addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)))]]) ).
cnf(refute_0_856,plain,
( addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A) != addition(multiplication(X_740,strong_iteration(X_740)),A)
| addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) != addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))
| addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) = addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)),addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))) ),[1,1],$fot(addition(multiplication(X_740,strong_iteration(X_740)),A))]]) ).
cnf(refute_0_857,plain,
( addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A) != addition(multiplication(X_740,strong_iteration(X_740)),A)
| addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) = addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)),addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) = addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A),addition(multiplication(X_740,strong_iteration(X_740)),A)) )],[refute_0_854,refute_0_857]) ).
cnf(refute_0_859,plain,
( addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) != addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A))
| addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A)) != addition(strong_iteration(X_740),A)
| addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) = addition(strong_iteration(X_740),A) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)))),bind(Y,$fot(addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A)))),bind(Z,$fot(addition(strong_iteration(X_740),A)))]]) ).
cnf(refute_0_860,plain,
( addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A)) != addition(strong_iteration(X_740),A)
| addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) = addition(strong_iteration(X_740),A) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)),addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) = addition(strong_iteration(X_740),A),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_740,strong_iteration(X_740)),A)),addition(strong_iteration(X_740),A)) )],[refute_0_846,refute_0_860]) ).
cnf(refute_0_862,plain,
( addition(A,strong_iteration(X_740)) != addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))
| addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)) != addition(strong_iteration(X_740),A)
| addition(A,strong_iteration(X_740)) = addition(strong_iteration(X_740),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,strong_iteration(X_740)),addition(strong_iteration(X_740),A)) ),[0],$fot(addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)))]]) ).
cnf(refute_0_863,plain,
( addition(A,strong_iteration(X_740)) != addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))
| addition(A,strong_iteration(X_740)) = addition(strong_iteration(X_740),A) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A)),addition(strong_iteration(X_740),A)) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
( addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))) != addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))
| addition(A,strong_iteration(X_740)) = addition(strong_iteration(X_740),A) ),
inference(resolve,[$cnf( $equal(addition(A,strong_iteration(X_740)),addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))) )],[refute_0_841,refute_0_863]) ).
cnf(refute_0_865,plain,
addition(A,strong_iteration(X_740)) = addition(strong_iteration(X_740),A),
inference(resolve,[$cnf( $equal(addition(A,multiplication(strong_iteration(X_740),strong_iteration(X_740))),addition(one,addition(multiplication(X_740,multiplication(strong_iteration(X_740),strong_iteration(X_740))),A))) )],[refute_0_764,refute_0_864]) ).
cnf(refute_0_866,plain,
addition(star(strong_iteration(A)),strong_iteration(A)) = addition(strong_iteration(A),star(strong_iteration(A))),
inference(subst,[],[refute_0_865:[bind(A,$fot(star(strong_iteration(A)))),bind(X_740,$fot(A))]]) ).
cnf(refute_0_867,plain,
( addition(star(strong_iteration(A)),strong_iteration(A)) != addition(strong_iteration(A),star(strong_iteration(A)))
| addition(strong_iteration(A),star(strong_iteration(A))) != star(strong_iteration(A))
| addition(star(strong_iteration(A)),strong_iteration(A)) = star(strong_iteration(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(strong_iteration(A)),strong_iteration(A)))),bind(Y,$fot(addition(strong_iteration(A),star(strong_iteration(A))))),bind(Z,$fot(star(strong_iteration(A))))]]) ).
cnf(refute_0_868,plain,
( addition(strong_iteration(A),star(strong_iteration(A))) != star(strong_iteration(A))
| addition(star(strong_iteration(A)),strong_iteration(A)) = star(strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(addition(star(strong_iteration(A)),strong_iteration(A)),addition(strong_iteration(A),star(strong_iteration(A)))) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
addition(star(strong_iteration(A)),strong_iteration(A)) = star(strong_iteration(A)),
inference(resolve,[$cnf( $equal(addition(strong_iteration(A),star(strong_iteration(A))),star(strong_iteration(A))) )],[refute_0_634,refute_0_868]) ).
cnf(refute_0_870,plain,
addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) = addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)),
introduced(tautology,[refl,[$fot(addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)))]]) ).
cnf(refute_0_871,plain,
( addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) != addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one))
| multiplication(strong_iteration(A),one) != strong_iteration(A)
| addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) = addition(star(strong_iteration(A)),strong_iteration(A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)),addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one))) ),[1,1],$fot(strong_iteration(A))]]) ).
cnf(refute_0_872,plain,
( multiplication(strong_iteration(A),one) != strong_iteration(A)
| addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) = addition(star(strong_iteration(A)),strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)),addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) = addition(star(strong_iteration(A)),strong_iteration(A)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(A),one),strong_iteration(A)) )],[refute_0_532,refute_0_872]) ).
cnf(refute_0_874,plain,
( addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) != addition(star(strong_iteration(A)),strong_iteration(A))
| addition(star(strong_iteration(A)),strong_iteration(A)) != star(strong_iteration(A))
| addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) = star(strong_iteration(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)))),bind(Y,$fot(addition(star(strong_iteration(A)),strong_iteration(A)))),bind(Z,$fot(star(strong_iteration(A))))]]) ).
cnf(refute_0_875,plain,
( addition(star(strong_iteration(A)),strong_iteration(A)) != star(strong_iteration(A))
| addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) = star(strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)),addition(star(strong_iteration(A)),strong_iteration(A))) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) = star(strong_iteration(A)),
inference(resolve,[$cnf( $equal(addition(star(strong_iteration(A)),strong_iteration(A)),star(strong_iteration(A))) )],[refute_0_869,refute_0_875]) ).
cnf(refute_0_877,plain,
multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) = addition(multiplication(strong_iteration(X_545),B),multiplication(strong_iteration(X_545),star(strong_iteration(X_545)))),
inference(subst,[],[distributivity1:[bind(A,$fot(strong_iteration(X_545))),bind(C,$fot(star(strong_iteration(X_545))))]]) ).
cnf(refute_0_878,plain,
star(strong_iteration(X_545)) = multiplication(strong_iteration(X_545),star(strong_iteration(X_545))),
inference(subst,[],[refute_0_554:[bind(A,$fot(X_545))]]) ).
cnf(refute_0_879,plain,
( star(strong_iteration(X_545)) != multiplication(strong_iteration(X_545),star(strong_iteration(X_545)))
| multiplication(strong_iteration(X_545),star(strong_iteration(X_545))) = star(strong_iteration(X_545)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(star(strong_iteration(X_545)))),bind(Y,$fot(multiplication(strong_iteration(X_545),star(strong_iteration(X_545)))))]]) ).
cnf(refute_0_880,plain,
multiplication(strong_iteration(X_545),star(strong_iteration(X_545))) = star(strong_iteration(X_545)),
inference(resolve,[$cnf( $equal(star(strong_iteration(X_545)),multiplication(strong_iteration(X_545),star(strong_iteration(X_545)))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
( multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) != addition(multiplication(strong_iteration(X_545),B),multiplication(strong_iteration(X_545),star(strong_iteration(X_545))))
| multiplication(strong_iteration(X_545),star(strong_iteration(X_545))) != star(strong_iteration(X_545))
| multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) = addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))),addition(multiplication(strong_iteration(X_545),B),multiplication(strong_iteration(X_545),star(strong_iteration(X_545))))) ),[1,1],$fot(star(strong_iteration(X_545)))]]) ).
cnf(refute_0_882,plain,
( multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) != addition(multiplication(strong_iteration(X_545),B),multiplication(strong_iteration(X_545),star(strong_iteration(X_545))))
| multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) = addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545))) ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_545),star(strong_iteration(X_545))),star(strong_iteration(X_545))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) = addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545))),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))),addition(multiplication(strong_iteration(X_545),B),multiplication(strong_iteration(X_545),star(strong_iteration(X_545))))) )],[refute_0_877,refute_0_882]) ).
cnf(refute_0_884,plain,
addition(one,addition(multiplication(A,star(A)),X_66)) = addition(addition(one,multiplication(A,star(A))),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(one)),bind(B,$fot(multiplication(A,star(A)))),bind(C,$fot(X_66))]]) ).
cnf(refute_0_885,plain,
( addition(one,addition(multiplication(A,star(A)),X_66)) != addition(addition(one,multiplication(A,star(A))),X_66)
| addition(one,multiplication(A,star(A))) != star(A)
| addition(one,addition(multiplication(A,star(A)),X_66)) = addition(star(A),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),X_66)),addition(addition(one,multiplication(A,star(A))),X_66)) ),[1,0],$fot(star(A))]]) ).
cnf(refute_0_886,plain,
( addition(one,addition(multiplication(A,star(A)),X_66)) != addition(addition(one,multiplication(A,star(A))),X_66)
| addition(one,addition(multiplication(A,star(A)),X_66)) = addition(star(A),X_66) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,star(A))),star(A)) )],[star_unfold1,refute_0_885]) ).
cnf(refute_0_887,plain,
addition(one,addition(multiplication(A,star(A)),X_66)) = addition(star(A),X_66),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),X_66)),addition(addition(one,multiplication(A,star(A))),X_66)) )],[refute_0_884,refute_0_886]) ).
cnf(refute_0_888,plain,
addition(one,addition(multiplication(X_479,star(X_479)),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) = addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)),
inference(subst,[],[refute_0_887:[bind(A,$fot(X_479)),bind(X_66,$fot(addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)))]]) ).
cnf(refute_0_889,plain,
addition(X_64,addition(multiplication(X_64,zero),X_66)) = addition(addition(X_64,multiplication(X_64,zero)),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_64)),bind(B,$fot(multiplication(X_64,zero))),bind(C,$fot(X_66))]]) ).
cnf(refute_0_890,plain,
multiplication(X_53,addition(zero,one)) = addition(X_53,multiplication(X_53,zero)),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(X_53)),bind(X_31,$fot(zero))]]) ).
cnf(refute_0_891,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[additive_commutativity:[bind(B,$fot(zero))]]) ).
cnf(refute_0_892,plain,
( addition(A,zero) != A
| addition(A,zero) != addition(zero,A)
| addition(zero,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,zero),A) ),[0],$fot(addition(zero,A))]]) ).
cnf(refute_0_893,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[additive_identity,refute_0_893]) ).
cnf(refute_0_895,plain,
addition(zero,one) = one,
inference(subst,[],[refute_0_894:[bind(A,$fot(one))]]) ).
cnf(refute_0_896,plain,
( addition(zero,one) != one
| multiplication(X_53,addition(zero,one)) != addition(X_53,multiplication(X_53,zero))
| multiplication(X_53,one) = addition(X_53,multiplication(X_53,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_53,addition(zero,one)),addition(X_53,multiplication(X_53,zero))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_897,plain,
( multiplication(X_53,addition(zero,one)) != addition(X_53,multiplication(X_53,zero))
| multiplication(X_53,one) = addition(X_53,multiplication(X_53,zero)) ),
inference(resolve,[$cnf( $equal(addition(zero,one),one) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
multiplication(X_53,one) = addition(X_53,multiplication(X_53,zero)),
inference(resolve,[$cnf( $equal(multiplication(X_53,addition(zero,one)),addition(X_53,multiplication(X_53,zero))) )],[refute_0_890,refute_0_897]) ).
cnf(refute_0_899,plain,
multiplication(X_53,one) = X_53,
inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_53))]]) ).
cnf(refute_0_900,plain,
( multiplication(X_53,one) != X_53
| multiplication(X_53,one) != addition(X_53,multiplication(X_53,zero))
| X_53 = addition(X_53,multiplication(X_53,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_53,one),addition(X_53,multiplication(X_53,zero))) ),[0],$fot(X_53)]]) ).
cnf(refute_0_901,plain,
( multiplication(X_53,one) != addition(X_53,multiplication(X_53,zero))
| X_53 = addition(X_53,multiplication(X_53,zero)) ),
inference(resolve,[$cnf( $equal(multiplication(X_53,one),X_53) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
X_53 = addition(X_53,multiplication(X_53,zero)),
inference(resolve,[$cnf( $equal(multiplication(X_53,one),addition(X_53,multiplication(X_53,zero))) )],[refute_0_898,refute_0_901]) ).
cnf(refute_0_903,plain,
X_64 = addition(X_64,multiplication(X_64,zero)),
inference(subst,[],[refute_0_902:[bind(X_53,$fot(X_64))]]) ).
cnf(refute_0_904,plain,
( X_64 != addition(X_64,multiplication(X_64,zero))
| addition(X_64,multiplication(X_64,zero)) = X_64 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_64)),bind(Y,$fot(addition(X_64,multiplication(X_64,zero))))]]) ).
cnf(refute_0_905,plain,
addition(X_64,multiplication(X_64,zero)) = X_64,
inference(resolve,[$cnf( $equal(X_64,addition(X_64,multiplication(X_64,zero))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
( addition(X_64,addition(multiplication(X_64,zero),X_66)) != addition(addition(X_64,multiplication(X_64,zero)),X_66)
| addition(X_64,multiplication(X_64,zero)) != X_64
| addition(X_64,addition(multiplication(X_64,zero),X_66)) = addition(X_64,X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_64,addition(multiplication(X_64,zero),X_66)),addition(addition(X_64,multiplication(X_64,zero)),X_66)) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_907,plain,
( addition(X_64,addition(multiplication(X_64,zero),X_66)) != addition(addition(X_64,multiplication(X_64,zero)),X_66)
| addition(X_64,addition(multiplication(X_64,zero),X_66)) = addition(X_64,X_66) ),
inference(resolve,[$cnf( $equal(addition(X_64,multiplication(X_64,zero)),X_64) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
addition(X_64,addition(multiplication(X_64,zero),X_66)) = addition(X_64,X_66),
inference(resolve,[$cnf( $equal(addition(X_64,addition(multiplication(X_64,zero),X_66)),addition(addition(X_64,multiplication(X_64,zero)),X_66)) )],[refute_0_889,refute_0_907]) ).
cnf(refute_0_909,plain,
addition(multiplication(X_479,star(X_479)),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) = addition(multiplication(X_479,star(X_479)),X_66),
inference(subst,[],[refute_0_908:[bind(X_64,$fot(multiplication(X_479,star(X_479))))]]) ).
cnf(refute_0_910,plain,
( addition(multiplication(X_479,star(X_479)),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) != addition(multiplication(X_479,star(X_479)),X_66)
| addition(one,addition(multiplication(X_479,star(X_479)),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) != addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))
| addition(one,addition(multiplication(X_479,star(X_479)),X_66)) = addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(X_479,star(X_479)),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))),addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) ),[0,1],$fot(addition(multiplication(X_479,star(X_479)),X_66))]]) ).
cnf(refute_0_911,plain,
( addition(one,addition(multiplication(X_479,star(X_479)),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) != addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))
| addition(one,addition(multiplication(X_479,star(X_479)),X_66)) = addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_479,star(X_479)),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)),addition(multiplication(X_479,star(X_479)),X_66)) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
addition(one,addition(multiplication(X_479,star(X_479)),X_66)) = addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_479,star(X_479)),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))),addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) )],[refute_0_888,refute_0_911]) ).
cnf(refute_0_913,plain,
addition(one,addition(multiplication(X_479,star(X_479)),X_66)) = addition(star(X_479),X_66),
inference(subst,[],[refute_0_887:[bind(A,$fot(X_479))]]) ).
cnf(refute_0_914,plain,
( addition(one,addition(multiplication(X_479,star(X_479)),X_66)) != addition(star(X_479),X_66)
| addition(one,addition(multiplication(X_479,star(X_479)),X_66)) != addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))
| addition(star(X_479),X_66) = addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(X_479,star(X_479)),X_66)),addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) ),[0],$fot(addition(star(X_479),X_66))]]) ).
cnf(refute_0_915,plain,
( addition(one,addition(multiplication(X_479,star(X_479)),X_66)) != addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))
| addition(star(X_479),X_66) = addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_479,star(X_479)),X_66)),addition(star(X_479),X_66)) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
multiplication(multiplication(X_479,star(X_479)),zero) = multiplication(X_479,multiplication(star(X_479),zero)),
inference(subst,[],[refute_0_160:[bind(A,$fot(X_479)),bind(B,$fot(star(X_479))),bind(C,$fot(zero))]]) ).
cnf(refute_0_917,plain,
addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66) = addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66),
introduced(tautology,[refl,[$fot(addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))]]) ).
cnf(refute_0_918,plain,
( addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66) != addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)
| multiplication(multiplication(X_479,star(X_479)),zero) != multiplication(X_479,multiplication(star(X_479),zero))
| addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66) = addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) ),[1,0],$fot(multiplication(X_479,multiplication(star(X_479),zero)))]]) ).
cnf(refute_0_919,plain,
( multiplication(multiplication(X_479,star(X_479)),zero) != multiplication(X_479,multiplication(star(X_479),zero))
| addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66) = addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66) ),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66) = addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_479,star(X_479)),zero),multiplication(X_479,multiplication(star(X_479),zero))) )],[refute_0_916,refute_0_919]) ).
cnf(refute_0_921,plain,
addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) = addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)),
introduced(tautology,[refl,[$fot(addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)))]]) ).
cnf(refute_0_922,plain,
( addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66) != addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)
| addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) != addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))
| addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) = addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)),addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) ),[1,1],$fot(addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66))]]) ).
cnf(refute_0_923,plain,
( addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66) != addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)
| addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) = addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) ),
inference(resolve,[$cnf( $equal(addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)),addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) = addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
( addition(star(X_479),X_66) != addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))
| addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)) != addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66))
| addition(star(X_479),X_66) = addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(star(X_479),X_66),addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66))) ),[0],$fot(addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)))]]) ).
cnf(refute_0_926,plain,
( addition(star(X_479),X_66) != addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))
| addition(star(X_479),X_66) = addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) ),
inference(resolve,[$cnf( $equal(addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66)),addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
( addition(one,addition(multiplication(X_479,star(X_479)),X_66)) != addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))
| addition(star(X_479),X_66) = addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) ),
inference(resolve,[$cnf( $equal(addition(star(X_479),X_66),addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) )],[refute_0_915,refute_0_926]) ).
cnf(refute_0_928,plain,
addition(star(X_479),X_66) = addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_479,star(X_479)),X_66)),addition(star(X_479),addition(multiplication(multiplication(X_479,star(X_479)),zero),X_66))) )],[refute_0_912,refute_0_927]) ).
cnf(refute_0_929,plain,
ifeq2(leq(multiplication(star(X_194),multiplication(X_194,zero)),star(X_194)),true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) = star(X_194),
inference(subst,[],[refute_0_9:[bind(X_21,$fot(multiplication(star(X_194),multiplication(X_194,zero)))),bind(X_22,$fot(star(X_194)))]]) ).
cnf(refute_0_930,plain,
ifeq3(addition(X_25,X_26),X_26,leq(X_25,X_26),true) = true,
inference(subst,[],[order:[bind(A,$fot(X_25)),bind(B,$fot(X_26))]]) ).
cnf(refute_0_931,plain,
addition(X_26,X_25) = addition(X_25,X_26),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_26)),bind(B,$fot(X_25))]]) ).
cnf(refute_0_932,plain,
( addition(X_26,X_25) != addition(X_25,X_26)
| addition(X_25,X_26) = addition(X_26,X_25) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_26,X_25))),bind(Y,$fot(addition(X_25,X_26)))]]) ).
cnf(refute_0_933,plain,
addition(X_25,X_26) = addition(X_26,X_25),
inference(resolve,[$cnf( $equal(addition(X_26,X_25),addition(X_25,X_26)) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
( addition(X_25,X_26) != addition(X_26,X_25)
| ifeq3(addition(X_25,X_26),X_26,leq(X_25,X_26),true) != true
| ifeq3(addition(X_26,X_25),X_26,leq(X_25,X_26),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(X_25,X_26),X_26,leq(X_25,X_26),true),true) ),[0,0],$fot(addition(X_26,X_25))]]) ).
cnf(refute_0_935,plain,
( ifeq3(addition(X_25,X_26),X_26,leq(X_25,X_26),true) != true
| ifeq3(addition(X_26,X_25),X_26,leq(X_25,X_26),true) = true ),
inference(resolve,[$cnf( $equal(addition(X_25,X_26),addition(X_26,X_25)) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
ifeq3(addition(X_26,X_25),X_26,leq(X_25,X_26),true) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(X_25,X_26),X_26,leq(X_25,X_26),true),true) )],[refute_0_930,refute_0_935]) ).
cnf(refute_0_937,plain,
ifeq3(addition(X_26,multiplication(X_26,zero)),X_26,leq(multiplication(X_26,zero),X_26),true) = true,
inference(subst,[],[refute_0_936:[bind(X_25,$fot(multiplication(X_26,zero)))]]) ).
cnf(refute_0_938,plain,
X_26 = addition(X_26,multiplication(X_26,zero)),
inference(subst,[],[refute_0_902:[bind(X_53,$fot(X_26))]]) ).
cnf(refute_0_939,plain,
( X_26 != addition(X_26,multiplication(X_26,zero))
| addition(X_26,multiplication(X_26,zero)) = X_26 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_26)),bind(Y,$fot(addition(X_26,multiplication(X_26,zero))))]]) ).
cnf(refute_0_940,plain,
addition(X_26,multiplication(X_26,zero)) = X_26,
inference(resolve,[$cnf( $equal(X_26,addition(X_26,multiplication(X_26,zero))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
( addition(X_26,multiplication(X_26,zero)) != X_26
| ifeq3(addition(X_26,multiplication(X_26,zero)),X_26,leq(multiplication(X_26,zero),X_26),true) != true
| ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(X_26,multiplication(X_26,zero)),X_26,leq(multiplication(X_26,zero),X_26),true),true) ),[0,0],$fot(X_26)]]) ).
cnf(refute_0_942,plain,
( ifeq3(addition(X_26,multiplication(X_26,zero)),X_26,leq(multiplication(X_26,zero),X_26),true) != true
| ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true) = true ),
inference(resolve,[$cnf( $equal(addition(X_26,multiplication(X_26,zero)),X_26) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(X_26,multiplication(X_26,zero)),X_26,leq(multiplication(X_26,zero),X_26),true),true) )],[refute_0_937,refute_0_942]) ).
cnf(refute_0_944,plain,
ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true) = leq(multiplication(X_26,zero),X_26),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(X_26)),bind(B,$fot(leq(multiplication(X_26,zero),X_26))),bind(C,$fot(true))]]) ).
cnf(refute_0_945,plain,
( ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true) != leq(multiplication(X_26,zero),X_26)
| ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true) != true
| leq(multiplication(X_26,zero),X_26) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true),true) ),[0],$fot(leq(multiplication(X_26,zero),X_26))]]) ).
cnf(refute_0_946,plain,
( ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true) != true
| leq(multiplication(X_26,zero),X_26) = true ),
inference(resolve,[$cnf( $equal(ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true),leq(multiplication(X_26,zero),X_26)) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
leq(multiplication(X_26,zero),X_26) = true,
inference(resolve,[$cnf( $equal(ifeq3(X_26,X_26,leq(multiplication(X_26,zero),X_26),true),true) )],[refute_0_943,refute_0_946]) ).
cnf(refute_0_948,plain,
leq(multiplication(addition(X_81,one),zero),addition(X_81,one)) = true,
inference(subst,[],[refute_0_947:[bind(X_26,$fot(addition(X_81,one)))]]) ).
cnf(refute_0_949,plain,
multiplication(addition(X_81,one),zero) = addition(zero,multiplication(X_81,zero)),
inference(subst,[],[refute_0_142:[bind(X_78,$fot(X_81)),bind(X_80,$fot(zero))]]) ).
cnf(refute_0_950,plain,
( leq(multiplication(addition(X_81,one),zero),addition(X_81,one)) != true
| multiplication(addition(X_81,one),zero) != addition(zero,multiplication(X_81,zero))
| leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(addition(X_81,one),zero),addition(X_81,one)),true) ),[0,0],$fot(addition(zero,multiplication(X_81,zero)))]]) ).
cnf(refute_0_951,plain,
( leq(multiplication(addition(X_81,one),zero),addition(X_81,one)) != true
| leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) = true ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_81,one),zero),addition(zero,multiplication(X_81,zero))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) = true,
inference(resolve,[$cnf( $equal(leq(multiplication(addition(X_81,one),zero),addition(X_81,one)),true) )],[refute_0_948,refute_0_951]) ).
cnf(refute_0_953,plain,
addition(zero,multiplication(X_81,zero)) = multiplication(X_81,zero),
inference(subst,[],[refute_0_894:[bind(A,$fot(multiplication(X_81,zero)))]]) ).
cnf(refute_0_954,plain,
leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) = leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)),
introduced(tautology,[refl,[$fot(leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)))]]) ).
cnf(refute_0_955,plain,
( addition(zero,multiplication(X_81,zero)) != multiplication(X_81,zero)
| leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) != leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one))
| leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) = leq(multiplication(X_81,zero),addition(X_81,one)) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)),leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one))) ),[1,0],$fot(multiplication(X_81,zero))]]) ).
cnf(refute_0_956,plain,
( addition(zero,multiplication(X_81,zero)) != multiplication(X_81,zero)
| leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) = leq(multiplication(X_81,zero),addition(X_81,one)) ),
inference(resolve,[$cnf( $equal(leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)),leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) = leq(multiplication(X_81,zero),addition(X_81,one)),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_81,zero)),multiplication(X_81,zero)) )],[refute_0_953,refute_0_956]) ).
cnf(refute_0_958,plain,
( leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) != leq(multiplication(X_81,zero),addition(X_81,one))
| leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) != true
| leq(multiplication(X_81,zero),addition(X_81,one)) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)),true) ),[0],$fot(leq(multiplication(X_81,zero),addition(X_81,one)))]]) ).
cnf(refute_0_959,plain,
( leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)) != true
| leq(multiplication(X_81,zero),addition(X_81,one)) = true ),
inference(resolve,[$cnf( $equal(leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)),leq(multiplication(X_81,zero),addition(X_81,one))) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
leq(multiplication(X_81,zero),addition(X_81,one)) = true,
inference(resolve,[$cnf( $equal(leq(addition(zero,multiplication(X_81,zero)),addition(X_81,one)),true) )],[refute_0_952,refute_0_959]) ).
cnf(refute_0_961,plain,
leq(multiplication(X_92,zero),addition(X_92,one)) = true,
inference(subst,[],[refute_0_960:[bind(X_81,$fot(X_92))]]) ).
cnf(refute_0_962,plain,
addition(one,X_92) = addition(X_92,one),
inference(subst,[],[additive_commutativity:[bind(A,$fot(one)),bind(B,$fot(X_92))]]) ).
cnf(refute_0_963,plain,
( addition(one,X_92) != addition(X_92,one)
| addition(X_92,one) = addition(one,X_92) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(one,X_92))),bind(Y,$fot(addition(X_92,one)))]]) ).
cnf(refute_0_964,plain,
addition(X_92,one) = addition(one,X_92),
inference(resolve,[$cnf( $equal(addition(one,X_92),addition(X_92,one)) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
( addition(X_92,one) != addition(one,X_92)
| leq(multiplication(X_92,zero),addition(X_92,one)) != true
| leq(multiplication(X_92,zero),addition(one,X_92)) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(X_92,zero),addition(X_92,one)),true) ),[0,1],$fot(addition(one,X_92))]]) ).
cnf(refute_0_966,plain,
( leq(multiplication(X_92,zero),addition(X_92,one)) != true
| leq(multiplication(X_92,zero),addition(one,X_92)) = true ),
inference(resolve,[$cnf( $equal(addition(X_92,one),addition(one,X_92)) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
leq(multiplication(X_92,zero),addition(one,X_92)) = true,
inference(resolve,[$cnf( $equal(leq(multiplication(X_92,zero),addition(X_92,one)),true) )],[refute_0_961,refute_0_966]) ).
cnf(refute_0_968,plain,
leq(multiplication(multiplication(star(A),A),zero),addition(one,multiplication(star(A),A))) = true,
inference(subst,[],[refute_0_967:[bind(X_92,$fot(multiplication(star(A),A)))]]) ).
cnf(refute_0_969,plain,
( addition(one,multiplication(star(A),A)) != star(A)
| leq(multiplication(multiplication(star(A),A),zero),addition(one,multiplication(star(A),A))) != true
| leq(multiplication(multiplication(star(A),A),zero),star(A)) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(multiplication(star(A),A),zero),addition(one,multiplication(star(A),A))),true) ),[0,1],$fot(star(A))]]) ).
cnf(refute_0_970,plain,
( leq(multiplication(multiplication(star(A),A),zero),addition(one,multiplication(star(A),A))) != true
| leq(multiplication(multiplication(star(A),A),zero),star(A)) = true ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(A),A)),star(A)) )],[star_unfold2,refute_0_969]) ).
cnf(refute_0_971,plain,
leq(multiplication(multiplication(star(A),A),zero),star(A)) = true,
inference(resolve,[$cnf( $equal(leq(multiplication(multiplication(star(A),A),zero),addition(one,multiplication(star(A),A))),true) )],[refute_0_968,refute_0_970]) ).
cnf(refute_0_972,plain,
multiplication(multiplication(star(A),A),zero) = multiplication(star(A),multiplication(A,zero)),
inference(subst,[],[refute_0_160:[bind(A,$fot(star(A))),bind(B,$fot(A)),bind(C,$fot(zero))]]) ).
cnf(refute_0_973,plain,
leq(multiplication(multiplication(star(A),A),zero),star(A)) = leq(multiplication(multiplication(star(A),A),zero),star(A)),
introduced(tautology,[refl,[$fot(leq(multiplication(multiplication(star(A),A),zero),star(A)))]]) ).
cnf(refute_0_974,plain,
( leq(multiplication(multiplication(star(A),A),zero),star(A)) != leq(multiplication(multiplication(star(A),A),zero),star(A))
| multiplication(multiplication(star(A),A),zero) != multiplication(star(A),multiplication(A,zero))
| leq(multiplication(multiplication(star(A),A),zero),star(A)) = leq(multiplication(star(A),multiplication(A,zero)),star(A)) ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(multiplication(star(A),A),zero),star(A)),leq(multiplication(multiplication(star(A),A),zero),star(A))) ),[1,0],$fot(multiplication(star(A),multiplication(A,zero)))]]) ).
cnf(refute_0_975,plain,
( multiplication(multiplication(star(A),A),zero) != multiplication(star(A),multiplication(A,zero))
| leq(multiplication(multiplication(star(A),A),zero),star(A)) = leq(multiplication(star(A),multiplication(A,zero)),star(A)) ),
inference(resolve,[$cnf( $equal(leq(multiplication(multiplication(star(A),A),zero),star(A)),leq(multiplication(multiplication(star(A),A),zero),star(A))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
leq(multiplication(multiplication(star(A),A),zero),star(A)) = leq(multiplication(star(A),multiplication(A,zero)),star(A)),
inference(resolve,[$cnf( $equal(multiplication(multiplication(star(A),A),zero),multiplication(star(A),multiplication(A,zero))) )],[refute_0_972,refute_0_975]) ).
cnf(refute_0_977,plain,
( leq(multiplication(multiplication(star(A),A),zero),star(A)) != leq(multiplication(star(A),multiplication(A,zero)),star(A))
| leq(multiplication(multiplication(star(A),A),zero),star(A)) != true
| leq(multiplication(star(A),multiplication(A,zero)),star(A)) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(multiplication(star(A),A),zero),star(A)),true) ),[0],$fot(leq(multiplication(star(A),multiplication(A,zero)),star(A)))]]) ).
cnf(refute_0_978,plain,
( leq(multiplication(multiplication(star(A),A),zero),star(A)) != true
| leq(multiplication(star(A),multiplication(A,zero)),star(A)) = true ),
inference(resolve,[$cnf( $equal(leq(multiplication(multiplication(star(A),A),zero),star(A)),leq(multiplication(star(A),multiplication(A,zero)),star(A))) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
leq(multiplication(star(A),multiplication(A,zero)),star(A)) = true,
inference(resolve,[$cnf( $equal(leq(multiplication(multiplication(star(A),A),zero),star(A)),true) )],[refute_0_971,refute_0_978]) ).
cnf(refute_0_980,plain,
leq(multiplication(star(X_194),multiplication(X_194,zero)),star(X_194)) = true,
inference(subst,[],[refute_0_979:[bind(A,$fot(X_194))]]) ).
cnf(refute_0_981,plain,
( ifeq2(leq(multiplication(star(X_194),multiplication(X_194,zero)),star(X_194)),true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) != star(X_194)
| leq(multiplication(star(X_194),multiplication(X_194,zero)),star(X_194)) != true
| ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) = star(X_194) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(multiplication(star(X_194),multiplication(X_194,zero)),star(X_194)),true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)),star(X_194)) ),[0,0],$fot(true)]]) ).
cnf(refute_0_982,plain,
( ifeq2(leq(multiplication(star(X_194),multiplication(X_194,zero)),star(X_194)),true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) != star(X_194)
| ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) = star(X_194) ),
inference(resolve,[$cnf( $equal(leq(multiplication(star(X_194),multiplication(X_194,zero)),star(X_194)),true) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) = star(X_194),
inference(resolve,[$cnf( $equal(ifeq2(leq(multiplication(star(X_194),multiplication(X_194,zero)),star(X_194)),true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)),star(X_194)) )],[refute_0_929,refute_0_982]) ).
cnf(refute_0_984,plain,
multiplication(X_30,addition(one,multiplication(X_97,zero))) = addition(X_30,multiplication(X_30,multiplication(X_97,zero))),
inference(subst,[],[refute_0_32:[bind(X_32,$fot(multiplication(X_97,zero)))]]) ).
cnf(refute_0_985,plain,
addition(one,multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34)))) = star(multiplication(X_33,X_34)),
inference(subst,[],[star_unfold1:[bind(A,$fot(multiplication(X_33,X_34)))]]) ).
cnf(refute_0_986,plain,
multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34)))) = multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34))),
inference(subst,[],[multiplicative_associativity:[bind(A,$fot(X_33)),bind(B,$fot(X_34)),bind(C,$fot(star(multiplication(X_33,X_34))))]]) ).
cnf(refute_0_987,plain,
( multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34)))) != multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34)))
| multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34))) = multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34)))))),bind(Y,$fot(multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34)))))]]) ).
cnf(refute_0_988,plain,
multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34))) = multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34)))),
inference(resolve,[$cnf( $equal(multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34)))),multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34)))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
( addition(one,multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34)))) != star(multiplication(X_33,X_34))
| multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34))) != multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34))))
| addition(one,multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34))))) = star(multiplication(X_33,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34)))),star(multiplication(X_33,X_34))) ),[0,1],$fot(multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34)))))]]) ).
cnf(refute_0_990,plain,
( addition(one,multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34)))) != star(multiplication(X_33,X_34))
| addition(one,multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34))))) = star(multiplication(X_33,X_34)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34))),multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34))))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
addition(one,multiplication(X_33,multiplication(X_34,star(multiplication(X_33,X_34))))) = star(multiplication(X_33,X_34)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(multiplication(X_33,X_34),star(multiplication(X_33,X_34)))),star(multiplication(X_33,X_34))) )],[refute_0_985,refute_0_990]) ).
cnf(refute_0_992,plain,
addition(one,multiplication(X_95,multiplication(zero,star(multiplication(X_95,zero))))) = star(multiplication(X_95,zero)),
inference(subst,[],[refute_0_991:[bind(X_33,$fot(X_95)),bind(X_34,$fot(zero))]]) ).
cnf(refute_0_993,plain,
multiplication(zero,star(multiplication(X_95,zero))) = zero,
inference(subst,[],[left_annihilation:[bind(A,$fot(star(multiplication(X_95,zero))))]]) ).
cnf(refute_0_994,plain,
( addition(one,multiplication(X_95,multiplication(zero,star(multiplication(X_95,zero))))) != star(multiplication(X_95,zero))
| multiplication(zero,star(multiplication(X_95,zero))) != zero
| addition(one,multiplication(X_95,zero)) = star(multiplication(X_95,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(X_95,multiplication(zero,star(multiplication(X_95,zero))))),star(multiplication(X_95,zero))) ),[0,1,1],$fot(zero)]]) ).
cnf(refute_0_995,plain,
( addition(one,multiplication(X_95,multiplication(zero,star(multiplication(X_95,zero))))) != star(multiplication(X_95,zero))
| addition(one,multiplication(X_95,zero)) = star(multiplication(X_95,zero)) ),
inference(resolve,[$cnf( $equal(multiplication(zero,star(multiplication(X_95,zero))),zero) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
addition(one,multiplication(X_95,zero)) = star(multiplication(X_95,zero)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_95,multiplication(zero,star(multiplication(X_95,zero))))),star(multiplication(X_95,zero))) )],[refute_0_992,refute_0_995]) ).
cnf(refute_0_997,plain,
addition(one,multiplication(X_97,zero)) = star(multiplication(X_97,zero)),
inference(subst,[],[refute_0_996:[bind(X_95,$fot(X_97))]]) ).
cnf(refute_0_998,plain,
( addition(one,multiplication(X_97,zero)) != star(multiplication(X_97,zero))
| multiplication(X_30,addition(one,multiplication(X_97,zero))) != addition(X_30,multiplication(X_30,multiplication(X_97,zero)))
| multiplication(X_30,star(multiplication(X_97,zero))) = addition(X_30,multiplication(X_30,multiplication(X_97,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_30,addition(one,multiplication(X_97,zero))),addition(X_30,multiplication(X_30,multiplication(X_97,zero)))) ),[0,1],$fot(star(multiplication(X_97,zero)))]]) ).
cnf(refute_0_999,plain,
( multiplication(X_30,addition(one,multiplication(X_97,zero))) != addition(X_30,multiplication(X_30,multiplication(X_97,zero)))
| multiplication(X_30,star(multiplication(X_97,zero))) = addition(X_30,multiplication(X_30,multiplication(X_97,zero))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_97,zero)),star(multiplication(X_97,zero))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
multiplication(X_30,star(multiplication(X_97,zero))) = addition(X_30,multiplication(X_30,multiplication(X_97,zero))),
inference(resolve,[$cnf( $equal(multiplication(X_30,addition(one,multiplication(X_97,zero))),addition(X_30,multiplication(X_30,multiplication(X_97,zero)))) )],[refute_0_984,refute_0_999]) ).
cnf(refute_0_1001,plain,
( multiplication(X_30,star(multiplication(X_97,zero))) != addition(X_30,multiplication(X_30,multiplication(X_97,zero)))
| addition(X_30,multiplication(X_30,multiplication(X_97,zero))) = multiplication(X_30,star(multiplication(X_97,zero))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_30,star(multiplication(X_97,zero))))),bind(Y,$fot(addition(X_30,multiplication(X_30,multiplication(X_97,zero)))))]]) ).
cnf(refute_0_1002,plain,
addition(X_30,multiplication(X_30,multiplication(X_97,zero))) = multiplication(X_30,star(multiplication(X_97,zero))),
inference(resolve,[$cnf( $equal(multiplication(X_30,star(multiplication(X_97,zero))),addition(X_30,multiplication(X_30,multiplication(X_97,zero)))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))) = multiplication(star(X_194),star(multiplication(X_194,zero))),
inference(subst,[],[refute_0_1002:[bind(X_30,$fot(star(X_194))),bind(X_97,$fot(X_194))]]) ).
cnf(refute_0_1004,plain,
ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) = addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))))),bind(C,$fot(star(X_194)))]]) ).
cnf(refute_0_1005,plain,
( addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))) != multiplication(star(X_194),star(multiplication(X_194,zero)))
| ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) != addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero)))
| ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) = multiplication(star(X_194),star(multiplication(X_194,zero))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)))),bind(Y,$fot(addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))))),bind(Z,$fot(multiplication(star(X_194),star(multiplication(X_194,zero)))))]]) ).
cnf(refute_0_1006,plain,
( addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))) != multiplication(star(X_194),star(multiplication(X_194,zero)))
| ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) = multiplication(star(X_194),star(multiplication(X_194,zero))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)),addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero)))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) = multiplication(star(X_194),star(multiplication(X_194,zero))),
inference(resolve,[$cnf( $equal(addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),multiplication(star(X_194),star(multiplication(X_194,zero)))) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) != multiplication(star(X_194),star(multiplication(X_194,zero)))
| ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) != star(X_194)
| multiplication(star(X_194),star(multiplication(X_194,zero))) = star(X_194) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)),star(X_194)) ),[0],$fot(multiplication(star(X_194),star(multiplication(X_194,zero))))]]) ).
cnf(refute_0_1009,plain,
( ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)) != star(X_194)
| multiplication(star(X_194),star(multiplication(X_194,zero))) = star(X_194) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)),multiplication(star(X_194),star(multiplication(X_194,zero)))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
multiplication(star(X_194),star(multiplication(X_194,zero))) = star(X_194),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_194),multiplication(star(X_194),multiplication(X_194,zero))),star(X_194)),star(X_194)) )],[refute_0_983,refute_0_1009]) ).
cnf(refute_0_1011,plain,
multiplication(star(X_479),star(multiplication(X_479,zero))) = star(X_479),
inference(subst,[],[refute_0_1010:[bind(X_194,$fot(X_479))]]) ).
cnf(refute_0_1012,plain,
addition(one,multiplication(X_479,zero)) = star(multiplication(X_479,zero)),
inference(subst,[],[refute_0_996:[bind(X_95,$fot(X_479))]]) ).
cnf(refute_0_1013,plain,
multiplication(star(X_479),addition(one,multiplication(X_479,zero))) = multiplication(star(X_479),addition(one,multiplication(X_479,zero))),
introduced(tautology,[refl,[$fot(multiplication(star(X_479),addition(one,multiplication(X_479,zero))))]]) ).
cnf(refute_0_1014,plain,
( addition(one,multiplication(X_479,zero)) != star(multiplication(X_479,zero))
| multiplication(star(X_479),addition(one,multiplication(X_479,zero))) != multiplication(star(X_479),addition(one,multiplication(X_479,zero)))
| multiplication(star(X_479),addition(one,multiplication(X_479,zero))) = multiplication(star(X_479),star(multiplication(X_479,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(X_479),addition(one,multiplication(X_479,zero))),multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) ),[1,1],$fot(star(multiplication(X_479,zero)))]]) ).
cnf(refute_0_1015,plain,
( addition(one,multiplication(X_479,zero)) != star(multiplication(X_479,zero))
| multiplication(star(X_479),addition(one,multiplication(X_479,zero))) = multiplication(star(X_479),star(multiplication(X_479,zero))) ),
inference(resolve,[$cnf( $equal(multiplication(star(X_479),addition(one,multiplication(X_479,zero))),multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
multiplication(star(X_479),addition(one,multiplication(X_479,zero))) = multiplication(star(X_479),star(multiplication(X_479,zero))),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_479,zero)),star(multiplication(X_479,zero))) )],[refute_0_1012,refute_0_1015]) ).
cnf(refute_0_1017,plain,
( multiplication(star(X_479),addition(one,multiplication(X_479,zero))) != multiplication(star(X_479),star(multiplication(X_479,zero)))
| multiplication(star(X_479),star(multiplication(X_479,zero))) != star(X_479)
| multiplication(star(X_479),addition(one,multiplication(X_479,zero))) = star(X_479) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(star(X_479),addition(one,multiplication(X_479,zero))))),bind(Y,$fot(multiplication(star(X_479),star(multiplication(X_479,zero))))),bind(Z,$fot(star(X_479)))]]) ).
cnf(refute_0_1018,plain,
( multiplication(star(X_479),star(multiplication(X_479,zero))) != star(X_479)
| multiplication(star(X_479),addition(one,multiplication(X_479,zero))) = star(X_479) ),
inference(resolve,[$cnf( $equal(multiplication(star(X_479),addition(one,multiplication(X_479,zero))),multiplication(star(X_479),star(multiplication(X_479,zero)))) )],[refute_0_1016,refute_0_1017]) ).
cnf(refute_0_1019,plain,
multiplication(star(X_479),addition(one,multiplication(X_479,zero))) = star(X_479),
inference(resolve,[$cnf( $equal(multiplication(star(X_479),star(multiplication(X_479,zero))),star(X_479)) )],[refute_0_1011,refute_0_1018]) ).
cnf(refute_0_1020,plain,
addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) = addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))),
introduced(tautology,[refl,[$fot(addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))))]]) ).
cnf(refute_0_1021,plain,
( addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) != addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero))))
| multiplication(star(X_479),addition(one,multiplication(X_479,zero))) != star(X_479)
| addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) = addition(X_66,star(X_479)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))),addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero))))) ),[1,1],$fot(star(X_479))]]) ).
cnf(refute_0_1022,plain,
( multiplication(star(X_479),addition(one,multiplication(X_479,zero))) != star(X_479)
| addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) = addition(X_66,star(X_479)) ),
inference(resolve,[$cnf( $equal(addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))),addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero))))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) = addition(X_66,star(X_479)),
inference(resolve,[$cnf( $equal(multiplication(star(X_479),addition(one,multiplication(X_479,zero))),star(X_479)) )],[refute_0_1019,refute_0_1022]) ).
cnf(refute_0_1024,plain,
addition(one,addition(multiplication(A,star(A)),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) = addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)),
inference(subst,[],[refute_0_887:[bind(X_66,$fot(addition(multiplication(multiplication(A,star(A)),X_513),X_515)))]]) ).
cnf(refute_0_1025,plain,
addition(X_64,addition(multiplication(X_64,X_31),X_66)) = addition(addition(X_64,multiplication(X_64,X_31)),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_64)),bind(B,$fot(multiplication(X_64,X_31))),bind(C,$fot(X_66))]]) ).
cnf(refute_0_1026,plain,
multiplication(X_64,addition(X_31,one)) = addition(X_64,multiplication(X_64,X_31)),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(X_64))]]) ).
cnf(refute_0_1027,plain,
( multiplication(X_64,addition(X_31,one)) != addition(X_64,multiplication(X_64,X_31))
| addition(X_64,multiplication(X_64,X_31)) = multiplication(X_64,addition(X_31,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_64,addition(X_31,one)))),bind(Y,$fot(addition(X_64,multiplication(X_64,X_31))))]]) ).
cnf(refute_0_1028,plain,
addition(X_64,multiplication(X_64,X_31)) = multiplication(X_64,addition(X_31,one)),
inference(resolve,[$cnf( $equal(multiplication(X_64,addition(X_31,one)),addition(X_64,multiplication(X_64,X_31))) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
( addition(X_64,addition(multiplication(X_64,X_31),X_66)) != addition(addition(X_64,multiplication(X_64,X_31)),X_66)
| addition(X_64,multiplication(X_64,X_31)) != multiplication(X_64,addition(X_31,one))
| addition(X_64,addition(multiplication(X_64,X_31),X_66)) = addition(multiplication(X_64,addition(X_31,one)),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_64,addition(multiplication(X_64,X_31),X_66)),addition(addition(X_64,multiplication(X_64,X_31)),X_66)) ),[1,0],$fot(multiplication(X_64,addition(X_31,one)))]]) ).
cnf(refute_0_1030,plain,
( addition(X_64,addition(multiplication(X_64,X_31),X_66)) != addition(addition(X_64,multiplication(X_64,X_31)),X_66)
| addition(X_64,addition(multiplication(X_64,X_31),X_66)) = addition(multiplication(X_64,addition(X_31,one)),X_66) ),
inference(resolve,[$cnf( $equal(addition(X_64,multiplication(X_64,X_31)),multiplication(X_64,addition(X_31,one))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
addition(X_64,addition(multiplication(X_64,X_31),X_66)) = addition(multiplication(X_64,addition(X_31,one)),X_66),
inference(resolve,[$cnf( $equal(addition(X_64,addition(multiplication(X_64,X_31),X_66)),addition(addition(X_64,multiplication(X_64,X_31)),X_66)) )],[refute_0_1025,refute_0_1030]) ).
cnf(refute_0_1032,plain,
addition(multiplication(A,star(A)),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) = addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515),
inference(subst,[],[refute_0_1031:[bind(X_31,$fot(X_513)),bind(X_64,$fot(multiplication(A,star(A)))),bind(X_66,$fot(X_515))]]) ).
cnf(refute_0_1033,plain,
( addition(multiplication(A,star(A)),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) != addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)
| addition(one,addition(multiplication(A,star(A)),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) != addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))
| addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) = addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),addition(multiplication(multiplication(A,star(A)),X_513),X_515))),addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) ),[0,1],$fot(addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515))]]) ).
cnf(refute_0_1034,plain,
( addition(one,addition(multiplication(A,star(A)),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) != addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))
| addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) = addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),addition(multiplication(multiplication(A,star(A)),X_513),X_515)),addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) = addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),addition(multiplication(multiplication(A,star(A)),X_513),X_515))),addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) )],[refute_0_1024,refute_0_1034]) ).
cnf(refute_0_1036,plain,
multiplication(multiplication(A,star(A)),addition(X_513,one)) = multiplication(A,multiplication(star(A),addition(X_513,one))),
inference(subst,[],[refute_0_160:[bind(B,$fot(star(A))),bind(C,$fot(addition(X_513,one)))]]) ).
cnf(refute_0_1037,plain,
addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515) = addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515),
introduced(tautology,[refl,[$fot(addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515))]]) ).
cnf(refute_0_1038,plain,
( addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515) != addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)
| multiplication(multiplication(A,star(A)),addition(X_513,one)) != multiplication(A,multiplication(star(A),addition(X_513,one)))
| addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515) = addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515),addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) ),[1,0],$fot(multiplication(A,multiplication(star(A),addition(X_513,one))))]]) ).
cnf(refute_0_1039,plain,
( multiplication(multiplication(A,star(A)),addition(X_513,one)) != multiplication(A,multiplication(star(A),addition(X_513,one)))
| addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515) = addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515) ),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515),addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515) = addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515),
inference(resolve,[$cnf( $equal(multiplication(multiplication(A,star(A)),addition(X_513,one)),multiplication(A,multiplication(star(A),addition(X_513,one)))) )],[refute_0_1036,refute_0_1039]) ).
cnf(refute_0_1041,plain,
addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) = addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)))]]) ).
cnf(refute_0_1042,plain,
( addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515) != addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)
| addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) != addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515))
| addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) = addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)),addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515))) ),[1,1],$fot(addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515))]]) ).
cnf(refute_0_1043,plain,
( addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515) != addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)
| addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) = addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)),addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) = addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515),addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) )],[refute_0_1040,refute_0_1043]) ).
cnf(refute_0_1045,plain,
( addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) != addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515))
| addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) != addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))
| addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)),addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) ),[0],$fot(addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)))]]) ).
cnf(refute_0_1046,plain,
( addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) != addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))
| addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)),addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
multiplication(multiplication(A,star(A)),X_513) = multiplication(A,multiplication(star(A),X_513)),
inference(subst,[],[refute_0_160:[bind(B,$fot(star(A))),bind(C,$fot(X_513))]]) ).
cnf(refute_0_1048,plain,
addition(multiplication(multiplication(A,star(A)),X_513),X_515) = addition(multiplication(multiplication(A,star(A)),X_513),X_515),
introduced(tautology,[refl,[$fot(addition(multiplication(multiplication(A,star(A)),X_513),X_515))]]) ).
cnf(refute_0_1049,plain,
( addition(multiplication(multiplication(A,star(A)),X_513),X_515) != addition(multiplication(multiplication(A,star(A)),X_513),X_515)
| multiplication(multiplication(A,star(A)),X_513) != multiplication(A,multiplication(star(A),X_513))
| addition(multiplication(multiplication(A,star(A)),X_513),X_515) = addition(multiplication(A,multiplication(star(A),X_513)),X_515) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(multiplication(A,star(A)),X_513),X_515),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) ),[1,0],$fot(multiplication(A,multiplication(star(A),X_513)))]]) ).
cnf(refute_0_1050,plain,
( multiplication(multiplication(A,star(A)),X_513) != multiplication(A,multiplication(star(A),X_513))
| addition(multiplication(multiplication(A,star(A)),X_513),X_515) = addition(multiplication(A,multiplication(star(A),X_513)),X_515) ),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(A,star(A)),X_513),X_515),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
addition(multiplication(multiplication(A,star(A)),X_513),X_515) = addition(multiplication(A,multiplication(star(A),X_513)),X_515),
inference(resolve,[$cnf( $equal(multiplication(multiplication(A,star(A)),X_513),multiplication(A,multiplication(star(A),X_513))) )],[refute_0_1047,refute_0_1050]) ).
cnf(refute_0_1052,plain,
addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) = addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)),
introduced(tautology,[refl,[$fot(addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)))]]) ).
cnf(refute_0_1053,plain,
( addition(multiplication(multiplication(A,star(A)),X_513),X_515) != addition(multiplication(A,multiplication(star(A),X_513)),X_515)
| addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) != addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))
| addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)),addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) ),[1,1],$fot(addition(multiplication(A,multiplication(star(A),X_513)),X_515))]]) ).
cnf(refute_0_1054,plain,
( addition(multiplication(multiplication(A,star(A)),X_513),X_515) != addition(multiplication(A,multiplication(star(A),X_513)),X_515)
| addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) ),
inference(resolve,[$cnf( $equal(addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)),addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(A,star(A)),X_513),X_515),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) )],[refute_0_1051,refute_0_1054]) ).
cnf(refute_0_1056,plain,
( addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) != addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))
| addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)) != addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))
| addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)),addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))) ),[0],$fot(addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)))]]) ).
cnf(refute_0_1057,plain,
( addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) != addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))
| addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) ),
inference(resolve,[$cnf( $equal(addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515)),addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))) )],[refute_0_1055,refute_0_1056]) ).
cnf(refute_0_1058,plain,
( addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)) != addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))
| addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)),addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) )],[refute_0_1046,refute_0_1057]) ).
cnf(refute_0_1059,plain,
addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(multiplication(A,star(A)),addition(X_513,one)),X_515)),addition(star(A),addition(multiplication(multiplication(A,star(A)),X_513),X_515))) )],[refute_0_1035,refute_0_1058]) ).
cnf(refute_0_1060,plain,
addition(one,addition(multiplication(star(A),A),X_66)) = addition(addition(one,multiplication(star(A),A)),X_66),
inference(subst,[],[additive_associativity:[bind(A,$fot(one)),bind(B,$fot(multiplication(star(A),A))),bind(C,$fot(X_66))]]) ).
cnf(refute_0_1061,plain,
( addition(one,addition(multiplication(star(A),A),X_66)) != addition(addition(one,multiplication(star(A),A)),X_66)
| addition(one,multiplication(star(A),A)) != star(A)
| addition(one,addition(multiplication(star(A),A),X_66)) = addition(star(A),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(star(A),A),X_66)),addition(addition(one,multiplication(star(A),A)),X_66)) ),[1,0],$fot(star(A))]]) ).
cnf(refute_0_1062,plain,
( addition(one,addition(multiplication(star(A),A),X_66)) != addition(addition(one,multiplication(star(A),A)),X_66)
| addition(one,addition(multiplication(star(A),A),X_66)) = addition(star(A),X_66) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(A),A)),star(A)) )],[star_unfold2,refute_0_1061]) ).
cnf(refute_0_1063,plain,
addition(one,addition(multiplication(star(A),A),X_66)) = addition(star(A),X_66),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(A),A),X_66)),addition(addition(one,multiplication(star(A),A)),X_66)) )],[refute_0_1060,refute_0_1062]) ).
cnf(refute_0_1064,plain,
addition(one,addition(multiplication(star(A),A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) = addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)),
inference(subst,[],[refute_0_1063:[bind(X_66,$fot(addition(multiplication(multiplication(star(A),A),X_513),X_515)))]]) ).
cnf(refute_0_1065,plain,
addition(multiplication(star(A),A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) = addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515),
inference(subst,[],[refute_0_1031:[bind(X_31,$fot(X_513)),bind(X_64,$fot(multiplication(star(A),A))),bind(X_66,$fot(X_515))]]) ).
cnf(refute_0_1066,plain,
( addition(multiplication(star(A),A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) != addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)
| addition(one,addition(multiplication(star(A),A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) != addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))
| addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) = addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(star(A),A),addition(multiplication(multiplication(star(A),A),X_513),X_515))),addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) ),[0,1],$fot(addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515))]]) ).
cnf(refute_0_1067,plain,
( addition(one,addition(multiplication(star(A),A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) != addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))
| addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) = addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(star(A),A),addition(multiplication(multiplication(star(A),A),X_513),X_515)),addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) = addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(A),A),addition(multiplication(multiplication(star(A),A),X_513),X_515))),addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) )],[refute_0_1064,refute_0_1067]) ).
cnf(refute_0_1069,plain,
multiplication(multiplication(star(A),A),addition(X_513,one)) = multiplication(star(A),multiplication(A,addition(X_513,one))),
inference(subst,[],[refute_0_160:[bind(A,$fot(star(A))),bind(B,$fot(A)),bind(C,$fot(addition(X_513,one)))]]) ).
cnf(refute_0_1070,plain,
addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515) = addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515),
introduced(tautology,[refl,[$fot(addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515))]]) ).
cnf(refute_0_1071,plain,
( addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515) != addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)
| multiplication(multiplication(star(A),A),addition(X_513,one)) != multiplication(star(A),multiplication(A,addition(X_513,one)))
| addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515) = addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515),addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) ),[1,0],$fot(multiplication(star(A),multiplication(A,addition(X_513,one))))]]) ).
cnf(refute_0_1072,plain,
( multiplication(multiplication(star(A),A),addition(X_513,one)) != multiplication(star(A),multiplication(A,addition(X_513,one)))
| addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515) = addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) ),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515),addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515) = addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515),
inference(resolve,[$cnf( $equal(multiplication(multiplication(star(A),A),addition(X_513,one)),multiplication(star(A),multiplication(A,addition(X_513,one)))) )],[refute_0_1069,refute_0_1072]) ).
cnf(refute_0_1074,plain,
addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) = addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)))]]) ).
cnf(refute_0_1075,plain,
( addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515) != addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)
| addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) != addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515))
| addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) = addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)),addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515))) ),[1,1],$fot(addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515))]]) ).
cnf(refute_0_1076,plain,
( addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515) != addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)
| addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) = addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)),addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515))) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) = addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515),addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) )],[refute_0_1073,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) != addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515))
| addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) != addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)),addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) ),[0],$fot(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)))]]) ).
cnf(refute_0_1079,plain,
( addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) != addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)),addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
addition(X_515,multiplication(star(A),addition(multiplication(A,X_513),one))) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))),
inference(subst,[],[refute_0_733:[bind(A,$fot(star(A))),bind(B,$fot(one)),bind(C,$fot(multiplication(A,X_513))),bind(X_172,$fot(X_515))]]) ).
cnf(refute_0_1081,plain,
addition(X_169,addition(X_170,multiplication(X_170,X_31))) = addition(X_170,addition(multiplication(X_170,X_31),X_169)),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_169)),bind(X_64,$fot(X_170)),bind(X_65,$fot(multiplication(X_170,X_31)))]]) ).
cnf(refute_0_1082,plain,
multiplication(X_170,addition(X_31,one)) = addition(X_170,multiplication(X_170,X_31)),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(X_170))]]) ).
cnf(refute_0_1083,plain,
( multiplication(X_170,addition(X_31,one)) != addition(X_170,multiplication(X_170,X_31))
| addition(X_170,multiplication(X_170,X_31)) = multiplication(X_170,addition(X_31,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_170,addition(X_31,one)))),bind(Y,$fot(addition(X_170,multiplication(X_170,X_31))))]]) ).
cnf(refute_0_1084,plain,
addition(X_170,multiplication(X_170,X_31)) = multiplication(X_170,addition(X_31,one)),
inference(resolve,[$cnf( $equal(multiplication(X_170,addition(X_31,one)),addition(X_170,multiplication(X_170,X_31))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
( addition(X_169,addition(X_170,multiplication(X_170,X_31))) != addition(X_170,addition(multiplication(X_170,X_31),X_169))
| addition(X_170,multiplication(X_170,X_31)) != multiplication(X_170,addition(X_31,one))
| addition(X_169,multiplication(X_170,addition(X_31,one))) = addition(X_170,addition(multiplication(X_170,X_31),X_169)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_169,addition(X_170,multiplication(X_170,X_31))),addition(X_170,addition(multiplication(X_170,X_31),X_169))) ),[0,1],$fot(multiplication(X_170,addition(X_31,one)))]]) ).
cnf(refute_0_1086,plain,
( addition(X_169,addition(X_170,multiplication(X_170,X_31))) != addition(X_170,addition(multiplication(X_170,X_31),X_169))
| addition(X_169,multiplication(X_170,addition(X_31,one))) = addition(X_170,addition(multiplication(X_170,X_31),X_169)) ),
inference(resolve,[$cnf( $equal(addition(X_170,multiplication(X_170,X_31)),multiplication(X_170,addition(X_31,one))) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
addition(X_169,multiplication(X_170,addition(X_31,one))) = addition(X_170,addition(multiplication(X_170,X_31),X_169)),
inference(resolve,[$cnf( $equal(addition(X_169,addition(X_170,multiplication(X_170,X_31))),addition(X_170,addition(multiplication(X_170,X_31),X_169))) )],[refute_0_1081,refute_0_1086]) ).
cnf(refute_0_1088,plain,
( addition(X_169,multiplication(X_170,addition(X_31,one))) != addition(X_170,addition(multiplication(X_170,X_31),X_169))
| addition(X_170,addition(multiplication(X_170,X_31),X_169)) = addition(X_169,multiplication(X_170,addition(X_31,one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_169,multiplication(X_170,addition(X_31,one))))),bind(Y,$fot(addition(X_170,addition(multiplication(X_170,X_31),X_169))))]]) ).
cnf(refute_0_1089,plain,
addition(X_170,addition(multiplication(X_170,X_31),X_169)) = addition(X_169,multiplication(X_170,addition(X_31,one))),
inference(resolve,[$cnf( $equal(addition(X_169,multiplication(X_170,addition(X_31,one))),addition(X_170,addition(multiplication(X_170,X_31),X_169))) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) = addition(X_515,multiplication(star(A),addition(multiplication(A,X_513),one))),
inference(subst,[],[refute_0_1089:[bind(X_169,$fot(X_515)),bind(X_170,$fot(star(A))),bind(X_31,$fot(multiplication(A,X_513)))]]) ).
cnf(refute_0_1091,plain,
( addition(X_515,multiplication(star(A),addition(multiplication(A,X_513),one))) != addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))
| addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) != addition(X_515,multiplication(star(A),addition(multiplication(A,X_513),one)))
| addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)))),bind(Y,$fot(addition(X_515,multiplication(star(A),addition(multiplication(A,X_513),one))))),bind(Z,$fot(addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))))]]) ).
cnf(refute_0_1092,plain,
( addition(X_515,multiplication(star(A),addition(multiplication(A,X_513),one))) != addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))
| addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
inference(resolve,[$cnf( $equal(addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)),addition(X_515,multiplication(star(A),addition(multiplication(A,X_513),one)))) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))),
inference(resolve,[$cnf( $equal(addition(X_515,multiplication(star(A),addition(multiplication(A,X_513),one))),addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))) )],[refute_0_1080,refute_0_1092]) ).
cnf(refute_0_1094,plain,
multiplication(multiplication(star(A),A),X_513) = multiplication(star(A),multiplication(A,X_513)),
inference(subst,[],[refute_0_160:[bind(A,$fot(star(A))),bind(B,$fot(A)),bind(C,$fot(X_513))]]) ).
cnf(refute_0_1095,plain,
addition(multiplication(multiplication(star(A),A),X_513),X_515) = addition(multiplication(multiplication(star(A),A),X_513),X_515),
introduced(tautology,[refl,[$fot(addition(multiplication(multiplication(star(A),A),X_513),X_515))]]) ).
cnf(refute_0_1096,plain,
( addition(multiplication(multiplication(star(A),A),X_513),X_515) != addition(multiplication(multiplication(star(A),A),X_513),X_515)
| multiplication(multiplication(star(A),A),X_513) != multiplication(star(A),multiplication(A,X_513))
| addition(multiplication(multiplication(star(A),A),X_513),X_515) = addition(multiplication(star(A),multiplication(A,X_513)),X_515) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(multiplication(star(A),A),X_513),X_515),addition(multiplication(multiplication(star(A),A),X_513),X_515)) ),[1,0],$fot(multiplication(star(A),multiplication(A,X_513)))]]) ).
cnf(refute_0_1097,plain,
( multiplication(multiplication(star(A),A),X_513) != multiplication(star(A),multiplication(A,X_513))
| addition(multiplication(multiplication(star(A),A),X_513),X_515) = addition(multiplication(star(A),multiplication(A,X_513)),X_515) ),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(star(A),A),X_513),X_515),addition(multiplication(multiplication(star(A),A),X_513),X_515)) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
addition(multiplication(multiplication(star(A),A),X_513),X_515) = addition(multiplication(star(A),multiplication(A,X_513)),X_515),
inference(resolve,[$cnf( $equal(multiplication(multiplication(star(A),A),X_513),multiplication(star(A),multiplication(A,X_513))) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) = addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)),
introduced(tautology,[refl,[$fot(addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)))]]) ).
cnf(refute_0_1100,plain,
( addition(multiplication(multiplication(star(A),A),X_513),X_515) != addition(multiplication(star(A),multiplication(A,X_513)),X_515)
| addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) != addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))
| addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) = addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)),addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) ),[1,1],$fot(addition(multiplication(star(A),multiplication(A,X_513)),X_515))]]) ).
cnf(refute_0_1101,plain,
( addition(multiplication(multiplication(star(A),A),X_513),X_515) != addition(multiplication(star(A),multiplication(A,X_513)),X_515)
| addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) = addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) ),
inference(resolve,[$cnf( $equal(addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)),addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) = addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)),
inference(resolve,[$cnf( $equal(addition(multiplication(multiplication(star(A),A),X_513),X_515),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) )],[refute_0_1098,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) != addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515))
| addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) != addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))
| addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)))),bind(Y,$fot(addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)))),bind(Z,$fot(addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))))]]) ).
cnf(refute_0_1104,plain,
( addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)) != addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))
| addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
inference(resolve,[$cnf( $equal(addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)),addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))),
inference(resolve,[$cnf( $equal(addition(star(A),addition(multiplication(star(A),multiplication(A,X_513)),X_515)),addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))) )],[refute_0_1093,refute_0_1104]) ).
cnf(refute_0_1106,plain,
( addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) != addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))
| addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)) != addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))) ),[0],$fot(addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)))]]) ).
cnf(refute_0_1107,plain,
( addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) != addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
inference(resolve,[$cnf( $equal(addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515)),addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))) )],[refute_0_1105,refute_0_1106]) ).
cnf(refute_0_1108,plain,
( addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)) != addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) )],[refute_0_1079,refute_0_1107]) ).
cnf(refute_0_1109,plain,
addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(multiplication(star(A),A),addition(X_513,one)),X_515)),addition(star(A),addition(multiplication(multiplication(star(A),A),X_513),X_515))) )],[refute_0_1068,refute_0_1108]) ).
cnf(refute_0_1110,plain,
multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) = addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B)))),
inference(subst,[],[distributivity1:[bind(C,$fot(multiplication(star(A),multiplication(A,B))))]]) ).
cnf(refute_0_1111,plain,
multiplication(addition(one,multiplication(one,multiplication(A,star(A)))),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)),
inference(subst,[],[refute_0_123:[bind(X_79,$fot(multiplication(one,multiplication(A,star(A))))),bind(X_80,$fot(X_190))]]) ).
cnf(refute_0_1112,plain,
multiplication(X_57,addition(one,multiplication(A,star(A)))) = addition(X_57,multiplication(X_57,multiplication(A,star(A)))),
inference(subst,[],[refute_0_32:[bind(X_30,$fot(X_57)),bind(X_32,$fot(multiplication(A,star(A))))]]) ).
cnf(refute_0_1113,plain,
( addition(one,multiplication(A,star(A))) != star(A)
| multiplication(X_57,addition(one,multiplication(A,star(A)))) != addition(X_57,multiplication(X_57,multiplication(A,star(A))))
| multiplication(X_57,star(A)) = addition(X_57,multiplication(X_57,multiplication(A,star(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_57,addition(one,multiplication(A,star(A)))),addition(X_57,multiplication(X_57,multiplication(A,star(A))))) ),[0,1],$fot(star(A))]]) ).
cnf(refute_0_1114,plain,
( multiplication(X_57,addition(one,multiplication(A,star(A)))) != addition(X_57,multiplication(X_57,multiplication(A,star(A))))
| multiplication(X_57,star(A)) = addition(X_57,multiplication(X_57,multiplication(A,star(A)))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,star(A))),star(A)) )],[star_unfold1,refute_0_1113]) ).
cnf(refute_0_1115,plain,
multiplication(X_57,star(A)) = addition(X_57,multiplication(X_57,multiplication(A,star(A)))),
inference(resolve,[$cnf( $equal(multiplication(X_57,addition(one,multiplication(A,star(A)))),addition(X_57,multiplication(X_57,multiplication(A,star(A))))) )],[refute_0_1112,refute_0_1114]) ).
cnf(refute_0_1116,plain,
multiplication(one,star(A)) = addition(one,multiplication(one,multiplication(A,star(A)))),
inference(subst,[],[refute_0_1115:[bind(X_57,$fot(one))]]) ).
cnf(refute_0_1117,plain,
( multiplication(one,star(A)) != addition(one,multiplication(one,multiplication(A,star(A))))
| addition(one,multiplication(one,multiplication(A,star(A)))) = multiplication(one,star(A)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(one,star(A)))),bind(Y,$fot(addition(one,multiplication(one,multiplication(A,star(A))))))]]) ).
cnf(refute_0_1118,plain,
addition(one,multiplication(one,multiplication(A,star(A)))) = multiplication(one,star(A)),
inference(resolve,[$cnf( $equal(multiplication(one,star(A)),addition(one,multiplication(one,multiplication(A,star(A))))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
( addition(one,multiplication(one,multiplication(A,star(A)))) != multiplication(one,star(A))
| multiplication(addition(one,multiplication(one,multiplication(A,star(A)))),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))
| multiplication(multiplication(one,star(A)),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,multiplication(one,multiplication(A,star(A)))),X_190),addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))) ),[0,0],$fot(multiplication(one,star(A)))]]) ).
cnf(refute_0_1120,plain,
( multiplication(addition(one,multiplication(one,multiplication(A,star(A)))),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))
| multiplication(multiplication(one,star(A)),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(one,multiplication(A,star(A)))),multiplication(one,star(A))) )],[refute_0_1118,refute_0_1119]) ).
cnf(refute_0_1121,plain,
multiplication(multiplication(one,star(A)),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,multiplication(one,multiplication(A,star(A)))),X_190),addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))) )],[refute_0_1111,refute_0_1120]) ).
cnf(refute_0_1122,plain,
multiplication(one,multiplication(star(A),X_190)) = multiplication(star(A),X_190),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(multiplication(star(A),X_190)))]]) ).
cnf(refute_0_1123,plain,
multiplication(multiplication(one,star(A)),X_190) = multiplication(one,multiplication(star(A),X_190)),
inference(subst,[],[refute_0_160:[bind(A,$fot(one)),bind(B,$fot(star(A))),bind(C,$fot(X_190))]]) ).
cnf(refute_0_1124,plain,
( multiplication(multiplication(one,star(A)),X_190) != multiplication(one,multiplication(star(A),X_190))
| multiplication(one,multiplication(star(A),X_190)) != multiplication(star(A),X_190)
| multiplication(multiplication(one,star(A)),X_190) = multiplication(star(A),X_190) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(multiplication(one,star(A)),X_190))),bind(Y,$fot(multiplication(one,multiplication(star(A),X_190)))),bind(Z,$fot(multiplication(star(A),X_190)))]]) ).
cnf(refute_0_1125,plain,
( multiplication(one,multiplication(star(A),X_190)) != multiplication(star(A),X_190)
| multiplication(multiplication(one,star(A)),X_190) = multiplication(star(A),X_190) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,star(A)),X_190),multiplication(one,multiplication(star(A),X_190))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
multiplication(multiplication(one,star(A)),X_190) = multiplication(star(A),X_190),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(star(A),X_190)),multiplication(star(A),X_190)) )],[refute_0_1122,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( multiplication(multiplication(one,star(A)),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))
| multiplication(multiplication(one,star(A)),X_190) != multiplication(star(A),X_190)
| multiplication(star(A),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(one,star(A)),X_190),addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))) ),[0],$fot(multiplication(star(A),X_190))]]) ).
cnf(refute_0_1128,plain,
( multiplication(multiplication(one,star(A)),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))
| multiplication(star(A),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,star(A)),X_190),multiplication(star(A),X_190)) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
multiplication(multiplication(A,star(A)),X_190) = multiplication(A,multiplication(star(A),X_190)),
inference(subst,[],[refute_0_160:[bind(B,$fot(star(A))),bind(C,$fot(X_190))]]) ).
cnf(refute_0_1130,plain,
multiplication(one,multiplication(multiplication(A,star(A)),X_190)) = multiplication(multiplication(A,star(A)),X_190),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(multiplication(multiplication(A,star(A)),X_190)))]]) ).
cnf(refute_0_1131,plain,
( multiplication(multiplication(A,star(A)),X_190) != multiplication(A,multiplication(star(A),X_190))
| multiplication(one,multiplication(multiplication(A,star(A)),X_190)) != multiplication(multiplication(A,star(A)),X_190)
| multiplication(one,multiplication(multiplication(A,star(A)),X_190)) = multiplication(A,multiplication(star(A),X_190)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(one,multiplication(multiplication(A,star(A)),X_190)))),bind(Y,$fot(multiplication(multiplication(A,star(A)),X_190))),bind(Z,$fot(multiplication(A,multiplication(star(A),X_190))))]]) ).
cnf(refute_0_1132,plain,
( multiplication(multiplication(A,star(A)),X_190) != multiplication(A,multiplication(star(A),X_190))
| multiplication(one,multiplication(multiplication(A,star(A)),X_190)) = multiplication(A,multiplication(star(A),X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(multiplication(A,star(A)),X_190)),multiplication(multiplication(A,star(A)),X_190)) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
multiplication(one,multiplication(multiplication(A,star(A)),X_190)) = multiplication(A,multiplication(star(A),X_190)),
inference(resolve,[$cnf( $equal(multiplication(multiplication(A,star(A)),X_190),multiplication(A,multiplication(star(A),X_190))) )],[refute_0_1129,refute_0_1132]) ).
cnf(refute_0_1134,plain,
multiplication(multiplication(one,multiplication(A,star(A))),X_190) = multiplication(one,multiplication(multiplication(A,star(A)),X_190)),
inference(subst,[],[refute_0_160:[bind(A,$fot(one)),bind(B,$fot(multiplication(A,star(A)))),bind(C,$fot(X_190))]]) ).
cnf(refute_0_1135,plain,
( multiplication(multiplication(one,multiplication(A,star(A))),X_190) != multiplication(one,multiplication(multiplication(A,star(A)),X_190))
| multiplication(one,multiplication(multiplication(A,star(A)),X_190)) != multiplication(A,multiplication(star(A),X_190))
| multiplication(multiplication(one,multiplication(A,star(A))),X_190) = multiplication(A,multiplication(star(A),X_190)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(multiplication(one,multiplication(A,star(A))),X_190))),bind(Y,$fot(multiplication(one,multiplication(multiplication(A,star(A)),X_190)))),bind(Z,$fot(multiplication(A,multiplication(star(A),X_190))))]]) ).
cnf(refute_0_1136,plain,
( multiplication(one,multiplication(multiplication(A,star(A)),X_190)) != multiplication(A,multiplication(star(A),X_190))
| multiplication(multiplication(one,multiplication(A,star(A))),X_190) = multiplication(A,multiplication(star(A),X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,multiplication(A,star(A))),X_190),multiplication(one,multiplication(multiplication(A,star(A)),X_190))) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
multiplication(multiplication(one,multiplication(A,star(A))),X_190) = multiplication(A,multiplication(star(A),X_190)),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(multiplication(A,star(A)),X_190)),multiplication(A,multiplication(star(A),X_190))) )],[refute_0_1133,refute_0_1136]) ).
cnf(refute_0_1138,plain,
addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) = addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)),
introduced(tautology,[refl,[$fot(addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)))]]) ).
cnf(refute_0_1139,plain,
( addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) != addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))
| multiplication(multiplication(one,multiplication(A,star(A))),X_190) != multiplication(A,multiplication(star(A),X_190))
| addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) = addition(X_190,multiplication(A,multiplication(star(A),X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)),addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))) ),[1,1],$fot(multiplication(A,multiplication(star(A),X_190)))]]) ).
cnf(refute_0_1140,plain,
( multiplication(multiplication(one,multiplication(A,star(A))),X_190) != multiplication(A,multiplication(star(A),X_190))
| addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) = addition(X_190,multiplication(A,multiplication(star(A),X_190))) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)),addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) = addition(X_190,multiplication(A,multiplication(star(A),X_190))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,multiplication(A,star(A))),X_190),multiplication(A,multiplication(star(A),X_190))) )],[refute_0_1137,refute_0_1140]) ).
cnf(refute_0_1142,plain,
( addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)) != addition(X_190,multiplication(A,multiplication(star(A),X_190)))
| multiplication(star(A),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))
| multiplication(star(A),X_190) = addition(X_190,multiplication(A,multiplication(star(A),X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(A),X_190),addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))) ),[1],$fot(addition(X_190,multiplication(A,multiplication(star(A),X_190))))]]) ).
cnf(refute_0_1143,plain,
( multiplication(star(A),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))
| multiplication(star(A),X_190) = addition(X_190,multiplication(A,multiplication(star(A),X_190))) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190)),addition(X_190,multiplication(A,multiplication(star(A),X_190)))) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
( multiplication(multiplication(one,star(A)),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))
| multiplication(star(A),X_190) = addition(X_190,multiplication(A,multiplication(star(A),X_190))) ),
inference(resolve,[$cnf( $equal(multiplication(star(A),X_190),addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))) )],[refute_0_1128,refute_0_1143]) ).
cnf(refute_0_1145,plain,
multiplication(star(A),X_190) = addition(X_190,multiplication(A,multiplication(star(A),X_190))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,star(A)),X_190),addition(X_190,multiplication(multiplication(one,multiplication(A,star(A))),X_190))) )],[refute_0_1121,refute_0_1144]) ).
cnf(refute_0_1146,plain,
multiplication(star(A),multiplication(A,B)) = addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B)))),
inference(subst,[],[refute_0_1145:[bind(X_190,$fot(multiplication(A,B)))]]) ).
cnf(refute_0_1147,plain,
( multiplication(star(A),multiplication(A,B)) != addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B))))
| addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B)))) = multiplication(star(A),multiplication(A,B)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(star(A),multiplication(A,B)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B))))))]]) ).
cnf(refute_0_1148,plain,
addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B)))) = multiplication(star(A),multiplication(A,B)),
inference(resolve,[$cnf( $equal(multiplication(star(A),multiplication(A,B)),addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B))))) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
( addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B)))) != multiplication(star(A),multiplication(A,B))
| multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) != addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B))))
| multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) = multiplication(star(A),multiplication(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))),addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B))))) ),[1],$fot(multiplication(star(A),multiplication(A,B)))]]) ).
cnf(refute_0_1150,plain,
( multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) != addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B))))
| multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) = multiplication(star(A),multiplication(A,B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B)))),multiplication(star(A),multiplication(A,B))) )],[refute_0_1148,refute_0_1149]) ).
cnf(refute_0_1151,plain,
multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) = multiplication(star(A),multiplication(A,B)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))),addition(multiplication(A,B),multiplication(A,multiplication(star(A),multiplication(A,B))))) )],[refute_0_1110,refute_0_1150]) ).
cnf(refute_0_1152,plain,
multiplication(addition(one,multiplication(one,multiplication(star(A),A))),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)),
inference(subst,[],[refute_0_123:[bind(X_79,$fot(multiplication(one,multiplication(star(A),A)))),bind(X_80,$fot(X_190))]]) ).
cnf(refute_0_1153,plain,
multiplication(X_57,addition(one,multiplication(star(A),A))) = addition(X_57,multiplication(X_57,multiplication(star(A),A))),
inference(subst,[],[refute_0_32:[bind(X_30,$fot(X_57)),bind(X_32,$fot(multiplication(star(A),A)))]]) ).
cnf(refute_0_1154,plain,
( addition(one,multiplication(star(A),A)) != star(A)
| multiplication(X_57,addition(one,multiplication(star(A),A))) != addition(X_57,multiplication(X_57,multiplication(star(A),A)))
| multiplication(X_57,star(A)) = addition(X_57,multiplication(X_57,multiplication(star(A),A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_57,addition(one,multiplication(star(A),A))),addition(X_57,multiplication(X_57,multiplication(star(A),A)))) ),[0,1],$fot(star(A))]]) ).
cnf(refute_0_1155,plain,
( multiplication(X_57,addition(one,multiplication(star(A),A))) != addition(X_57,multiplication(X_57,multiplication(star(A),A)))
| multiplication(X_57,star(A)) = addition(X_57,multiplication(X_57,multiplication(star(A),A))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(A),A)),star(A)) )],[star_unfold2,refute_0_1154]) ).
cnf(refute_0_1156,plain,
multiplication(X_57,star(A)) = addition(X_57,multiplication(X_57,multiplication(star(A),A))),
inference(resolve,[$cnf( $equal(multiplication(X_57,addition(one,multiplication(star(A),A))),addition(X_57,multiplication(X_57,multiplication(star(A),A)))) )],[refute_0_1153,refute_0_1155]) ).
cnf(refute_0_1157,plain,
multiplication(one,star(A)) = addition(one,multiplication(one,multiplication(star(A),A))),
inference(subst,[],[refute_0_1156:[bind(X_57,$fot(one))]]) ).
cnf(refute_0_1158,plain,
( multiplication(one,star(A)) != addition(one,multiplication(one,multiplication(star(A),A)))
| addition(one,multiplication(one,multiplication(star(A),A))) = multiplication(one,star(A)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(one,star(A)))),bind(Y,$fot(addition(one,multiplication(one,multiplication(star(A),A)))))]]) ).
cnf(refute_0_1159,plain,
addition(one,multiplication(one,multiplication(star(A),A))) = multiplication(one,star(A)),
inference(resolve,[$cnf( $equal(multiplication(one,star(A)),addition(one,multiplication(one,multiplication(star(A),A)))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
( addition(one,multiplication(one,multiplication(star(A),A))) != multiplication(one,star(A))
| multiplication(addition(one,multiplication(one,multiplication(star(A),A))),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))
| multiplication(multiplication(one,star(A)),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,multiplication(one,multiplication(star(A),A))),X_190),addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))) ),[0,0],$fot(multiplication(one,star(A)))]]) ).
cnf(refute_0_1161,plain,
( multiplication(addition(one,multiplication(one,multiplication(star(A),A))),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))
| multiplication(multiplication(one,star(A)),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(one,multiplication(star(A),A))),multiplication(one,star(A))) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
multiplication(multiplication(one,star(A)),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,multiplication(one,multiplication(star(A),A))),X_190),addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))) )],[refute_0_1152,refute_0_1161]) ).
cnf(refute_0_1163,plain,
( multiplication(multiplication(one,star(A)),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))
| multiplication(multiplication(one,star(A)),X_190) != multiplication(star(A),X_190)
| multiplication(star(A),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(one,star(A)),X_190),addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))) ),[0],$fot(multiplication(star(A),X_190))]]) ).
cnf(refute_0_1164,plain,
( multiplication(multiplication(one,star(A)),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))
| multiplication(star(A),X_190) = addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,star(A)),X_190),multiplication(star(A),X_190)) )],[refute_0_1126,refute_0_1163]) ).
cnf(refute_0_1165,plain,
multiplication(multiplication(star(A),A),X_190) = multiplication(star(A),multiplication(A,X_190)),
inference(subst,[],[refute_0_160:[bind(A,$fot(star(A))),bind(B,$fot(A)),bind(C,$fot(X_190))]]) ).
cnf(refute_0_1166,plain,
multiplication(one,multiplication(multiplication(star(A),A),X_190)) = multiplication(multiplication(star(A),A),X_190),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(multiplication(multiplication(star(A),A),X_190)))]]) ).
cnf(refute_0_1167,plain,
( multiplication(multiplication(star(A),A),X_190) != multiplication(star(A),multiplication(A,X_190))
| multiplication(one,multiplication(multiplication(star(A),A),X_190)) != multiplication(multiplication(star(A),A),X_190)
| multiplication(one,multiplication(multiplication(star(A),A),X_190)) = multiplication(star(A),multiplication(A,X_190)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(one,multiplication(multiplication(star(A),A),X_190)))),bind(Y,$fot(multiplication(multiplication(star(A),A),X_190))),bind(Z,$fot(multiplication(star(A),multiplication(A,X_190))))]]) ).
cnf(refute_0_1168,plain,
( multiplication(multiplication(star(A),A),X_190) != multiplication(star(A),multiplication(A,X_190))
| multiplication(one,multiplication(multiplication(star(A),A),X_190)) = multiplication(star(A),multiplication(A,X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(multiplication(star(A),A),X_190)),multiplication(multiplication(star(A),A),X_190)) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
multiplication(one,multiplication(multiplication(star(A),A),X_190)) = multiplication(star(A),multiplication(A,X_190)),
inference(resolve,[$cnf( $equal(multiplication(multiplication(star(A),A),X_190),multiplication(star(A),multiplication(A,X_190))) )],[refute_0_1165,refute_0_1168]) ).
cnf(refute_0_1170,plain,
multiplication(multiplication(one,multiplication(star(A),A)),X_190) = multiplication(one,multiplication(multiplication(star(A),A),X_190)),
inference(subst,[],[refute_0_160:[bind(A,$fot(one)),bind(B,$fot(multiplication(star(A),A))),bind(C,$fot(X_190))]]) ).
cnf(refute_0_1171,plain,
( multiplication(multiplication(one,multiplication(star(A),A)),X_190) != multiplication(one,multiplication(multiplication(star(A),A),X_190))
| multiplication(one,multiplication(multiplication(star(A),A),X_190)) != multiplication(star(A),multiplication(A,X_190))
| multiplication(multiplication(one,multiplication(star(A),A)),X_190) = multiplication(star(A),multiplication(A,X_190)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(multiplication(one,multiplication(star(A),A)),X_190))),bind(Y,$fot(multiplication(one,multiplication(multiplication(star(A),A),X_190)))),bind(Z,$fot(multiplication(star(A),multiplication(A,X_190))))]]) ).
cnf(refute_0_1172,plain,
( multiplication(one,multiplication(multiplication(star(A),A),X_190)) != multiplication(star(A),multiplication(A,X_190))
| multiplication(multiplication(one,multiplication(star(A),A)),X_190) = multiplication(star(A),multiplication(A,X_190)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,multiplication(star(A),A)),X_190),multiplication(one,multiplication(multiplication(star(A),A),X_190))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
multiplication(multiplication(one,multiplication(star(A),A)),X_190) = multiplication(star(A),multiplication(A,X_190)),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(multiplication(star(A),A),X_190)),multiplication(star(A),multiplication(A,X_190))) )],[refute_0_1169,refute_0_1172]) ).
cnf(refute_0_1174,plain,
addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) = addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)),
introduced(tautology,[refl,[$fot(addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)))]]) ).
cnf(refute_0_1175,plain,
( addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) != addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))
| multiplication(multiplication(one,multiplication(star(A),A)),X_190) != multiplication(star(A),multiplication(A,X_190))
| addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) = addition(X_190,multiplication(star(A),multiplication(A,X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)),addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))) ),[1,1],$fot(multiplication(star(A),multiplication(A,X_190)))]]) ).
cnf(refute_0_1176,plain,
( multiplication(multiplication(one,multiplication(star(A),A)),X_190) != multiplication(star(A),multiplication(A,X_190))
| addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) = addition(X_190,multiplication(star(A),multiplication(A,X_190))) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)),addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))) )],[refute_0_1174,refute_0_1175]) ).
cnf(refute_0_1177,plain,
addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) = addition(X_190,multiplication(star(A),multiplication(A,X_190))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,multiplication(star(A),A)),X_190),multiplication(star(A),multiplication(A,X_190))) )],[refute_0_1173,refute_0_1176]) ).
cnf(refute_0_1178,plain,
( addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)) != addition(X_190,multiplication(star(A),multiplication(A,X_190)))
| multiplication(star(A),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))
| multiplication(star(A),X_190) = addition(X_190,multiplication(star(A),multiplication(A,X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(A),X_190),addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))) ),[1],$fot(addition(X_190,multiplication(star(A),multiplication(A,X_190))))]]) ).
cnf(refute_0_1179,plain,
( multiplication(star(A),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))
| multiplication(star(A),X_190) = addition(X_190,multiplication(star(A),multiplication(A,X_190))) ),
inference(resolve,[$cnf( $equal(addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190)),addition(X_190,multiplication(star(A),multiplication(A,X_190)))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( multiplication(multiplication(one,star(A)),X_190) != addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))
| multiplication(star(A),X_190) = addition(X_190,multiplication(star(A),multiplication(A,X_190))) ),
inference(resolve,[$cnf( $equal(multiplication(star(A),X_190),addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))) )],[refute_0_1164,refute_0_1179]) ).
cnf(refute_0_1181,plain,
multiplication(star(A),X_190) = addition(X_190,multiplication(star(A),multiplication(A,X_190))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,star(A)),X_190),addition(X_190,multiplication(multiplication(one,multiplication(star(A),A)),X_190))) )],[refute_0_1162,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( multiplication(star(A),X_190) != addition(X_190,multiplication(star(A),multiplication(A,X_190)))
| addition(X_190,multiplication(star(A),multiplication(A,X_190))) = multiplication(star(A),X_190) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(star(A),X_190))),bind(Y,$fot(addition(X_190,multiplication(star(A),multiplication(A,X_190)))))]]) ).
cnf(refute_0_1183,plain,
addition(X_190,multiplication(star(A),multiplication(A,X_190))) = multiplication(star(A),X_190),
inference(resolve,[$cnf( $equal(multiplication(star(A),X_190),addition(X_190,multiplication(star(A),multiplication(A,X_190)))) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
addition(B,multiplication(star(A),multiplication(A,B))) = multiplication(star(A),B),
inference(subst,[],[refute_0_1183:[bind(X_190,$fot(B))]]) ).
cnf(refute_0_1185,plain,
multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) = multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))),
introduced(tautology,[refl,[$fot(multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))))]]) ).
cnf(refute_0_1186,plain,
( addition(B,multiplication(star(A),multiplication(A,B))) != multiplication(star(A),B)
| multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) != multiplication(A,addition(B,multiplication(star(A),multiplication(A,B))))
| multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) = multiplication(A,multiplication(star(A),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))),multiplication(A,addition(B,multiplication(star(A),multiplication(A,B))))) ),[1,1],$fot(multiplication(star(A),B))]]) ).
cnf(refute_0_1187,plain,
( addition(B,multiplication(star(A),multiplication(A,B))) != multiplication(star(A),B)
| multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) = multiplication(A,multiplication(star(A),B)) ),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))),multiplication(A,addition(B,multiplication(star(A),multiplication(A,B))))) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) = multiplication(A,multiplication(star(A),B)),
inference(resolve,[$cnf( $equal(addition(B,multiplication(star(A),multiplication(A,B))),multiplication(star(A),B)) )],[refute_0_1184,refute_0_1187]) ).
cnf(refute_0_1189,plain,
( multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) != multiplication(A,multiplication(star(A),B))
| multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) != multiplication(star(A),multiplication(A,B))
| multiplication(A,multiplication(star(A),B)) = multiplication(star(A),multiplication(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))),multiplication(star(A),multiplication(A,B))) ),[0],$fot(multiplication(A,multiplication(star(A),B)))]]) ).
cnf(refute_0_1190,plain,
( multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))) != multiplication(star(A),multiplication(A,B))
| multiplication(A,multiplication(star(A),B)) = multiplication(star(A),multiplication(A,B)) ),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))),multiplication(A,multiplication(star(A),B))) )],[refute_0_1188,refute_0_1189]) ).
cnf(refute_0_1191,plain,
multiplication(A,multiplication(star(A),B)) = multiplication(star(A),multiplication(A,B)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,multiplication(star(A),multiplication(A,B)))),multiplication(star(A),multiplication(A,B))) )],[refute_0_1151,refute_0_1190]) ).
cnf(refute_0_1192,plain,
( multiplication(A,multiplication(star(A),B)) != multiplication(star(A),multiplication(A,B))
| multiplication(star(A),multiplication(A,B)) = multiplication(A,multiplication(star(A),B)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(A,multiplication(star(A),B)))),bind(Y,$fot(multiplication(star(A),multiplication(A,B))))]]) ).
cnf(refute_0_1193,plain,
multiplication(star(A),multiplication(A,B)) = multiplication(A,multiplication(star(A),B)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(star(A),B)),multiplication(star(A),multiplication(A,B))) )],[refute_0_1191,refute_0_1192]) ).
cnf(refute_0_1194,plain,
multiplication(star(A),multiplication(A,addition(X_513,one))) = multiplication(A,multiplication(star(A),addition(X_513,one))),
inference(subst,[],[refute_0_1193:[bind(B,$fot(addition(X_513,one)))]]) ).
cnf(refute_0_1195,plain,
addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) = addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515),
introduced(tautology,[refl,[$fot(addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515))]]) ).
cnf(refute_0_1196,plain,
( addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) != addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)
| multiplication(star(A),multiplication(A,addition(X_513,one))) != multiplication(A,multiplication(star(A),addition(X_513,one)))
| addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) = addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515),addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) ),[1,0],$fot(multiplication(A,multiplication(star(A),addition(X_513,one))))]]) ).
cnf(refute_0_1197,plain,
( multiplication(star(A),multiplication(A,addition(X_513,one))) != multiplication(A,multiplication(star(A),addition(X_513,one)))
| addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) = addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515) ),
inference(resolve,[$cnf( $equal(addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515),addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) )],[refute_0_1195,refute_0_1196]) ).
cnf(refute_0_1198,plain,
addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) = addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515),
inference(resolve,[$cnf( $equal(multiplication(star(A),multiplication(A,addition(X_513,one))),multiplication(A,multiplication(star(A),addition(X_513,one)))) )],[refute_0_1194,refute_0_1197]) ).
cnf(refute_0_1199,plain,
addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)))]]) ).
cnf(refute_0_1200,plain,
( addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) != addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) != addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515))
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515))) ),[1,1],$fot(addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515))]]) ).
cnf(refute_0_1201,plain,
( addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515) != addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515))) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) = addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)),
inference(resolve,[$cnf( $equal(addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515),addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) )],[refute_0_1198,refute_0_1201]) ).
cnf(refute_0_1203,plain,
( addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) != addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))
| addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) != addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515))
| addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))) ),[0],$fot(addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)))]]) ).
cnf(refute_0_1204,plain,
( addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)) != addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))
| addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515))) )],[refute_0_1202,refute_0_1203]) ).
cnf(refute_0_1205,plain,
addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(A),multiplication(A,addition(X_513,one))),X_515)),addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))) )],[refute_0_1109,refute_0_1204]) ).
cnf(refute_0_1206,plain,
( addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) != addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))
| addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) != addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))
| addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)),addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))) ),[0],$fot(addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))))]]) ).
cnf(refute_0_1207,plain,
( addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)) != addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))
| addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)),addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513))))) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) = addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,multiplication(star(A),addition(X_513,one))),X_515)),addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))) )],[refute_0_1059,refute_0_1207]) ).
cnf(refute_0_1209,plain,
( addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) != addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))
| addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))))),bind(Y,$fot(addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))))]]) ).
cnf(refute_0_1210,plain,
addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515)) = addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))),
inference(resolve,[$cnf( $equal(addition(X_515,multiplication(star(A),addition(one,multiplication(A,X_513)))),addition(star(A),addition(multiplication(A,multiplication(star(A),X_513)),X_515))) )],[refute_0_1208,refute_0_1209]) ).
cnf(refute_0_1211,plain,
addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) = addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))),
inference(subst,[],[refute_0_1210:[bind(A,$fot(X_479)),bind(X_513,$fot(zero)),bind(X_515,$fot(X_66))]]) ).
cnf(refute_0_1212,plain,
( addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) != addition(X_66,star(X_479))
| addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) != addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero))))
| addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) = addition(X_66,star(X_479)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)))),bind(Y,$fot(addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))))),bind(Z,$fot(addition(X_66,star(X_479))))]]) ).
cnf(refute_0_1213,plain,
( addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))) != addition(X_66,star(X_479))
| addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) = addition(X_66,star(X_479)) ),
inference(resolve,[$cnf( $equal(addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)),addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero))))) )],[refute_0_1211,refute_0_1212]) ).
cnf(refute_0_1214,plain,
addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) = addition(X_66,star(X_479)),
inference(resolve,[$cnf( $equal(addition(X_66,multiplication(star(X_479),addition(one,multiplication(X_479,zero)))),addition(X_66,star(X_479))) )],[refute_0_1023,refute_0_1213]) ).
cnf(refute_0_1215,plain,
( addition(star(X_479),X_66) != addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66))
| addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)) != addition(X_66,star(X_479))
| addition(star(X_479),X_66) = addition(X_66,star(X_479)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(star(X_479),X_66),addition(X_66,star(X_479))) ),[0],$fot(addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)))]]) ).
cnf(refute_0_1216,plain,
( addition(star(X_479),X_66) != addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66))
| addition(star(X_479),X_66) = addition(X_66,star(X_479)) ),
inference(resolve,[$cnf( $equal(addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66)),addition(X_66,star(X_479))) )],[refute_0_1214,refute_0_1215]) ).
cnf(refute_0_1217,plain,
addition(star(X_479),X_66) = addition(X_66,star(X_479)),
inference(resolve,[$cnf( $equal(addition(star(X_479),X_66),addition(star(X_479),addition(multiplication(X_479,multiplication(star(X_479),zero)),X_66))) )],[refute_0_928,refute_0_1216]) ).
cnf(refute_0_1218,plain,
( addition(star(X_479),X_66) != addition(X_66,star(X_479))
| addition(X_66,star(X_479)) = addition(star(X_479),X_66) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(star(X_479),X_66))),bind(Y,$fot(addition(X_66,star(X_479))))]]) ).
cnf(refute_0_1219,plain,
addition(X_66,star(X_479)) = addition(star(X_479),X_66),
inference(resolve,[$cnf( $equal(addition(star(X_479),X_66),addition(X_66,star(X_479))) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545))) = addition(star(strong_iteration(X_545)),multiplication(strong_iteration(X_545),B)),
inference(subst,[],[refute_0_1219:[bind(X_479,$fot(strong_iteration(X_545))),bind(X_66,$fot(multiplication(strong_iteration(X_545),B)))]]) ).
cnf(refute_0_1221,plain,
( addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545))) != addition(star(strong_iteration(X_545)),multiplication(strong_iteration(X_545),B))
| multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) != addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545)))
| multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) = addition(star(strong_iteration(X_545)),multiplication(strong_iteration(X_545),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))),addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545)))) ),[1],$fot(addition(star(strong_iteration(X_545)),multiplication(strong_iteration(X_545),B)))]]) ).
cnf(refute_0_1222,plain,
( multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) != addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545)))
| multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) = addition(star(strong_iteration(X_545)),multiplication(strong_iteration(X_545),B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545))),addition(star(strong_iteration(X_545)),multiplication(strong_iteration(X_545),B))) )],[refute_0_1220,refute_0_1221]) ).
cnf(refute_0_1223,plain,
multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))) = addition(star(strong_iteration(X_545)),multiplication(strong_iteration(X_545),B)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_545),addition(B,star(strong_iteration(X_545)))),addition(multiplication(strong_iteration(X_545),B),star(strong_iteration(X_545)))) )],[refute_0_883,refute_0_1222]) ).
cnf(refute_0_1224,plain,
multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))) = addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)),
inference(subst,[],[refute_0_1223:[bind(B,$fot(one)),bind(X_545,$fot(A))]]) ).
cnf(refute_0_1225,plain,
( addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) != star(strong_iteration(A))
| multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))) != addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one))
| multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))) = star(strong_iteration(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))))),bind(Y,$fot(addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)))),bind(Z,$fot(star(strong_iteration(A))))]]) ).
cnf(refute_0_1226,plain,
( addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)) != star(strong_iteration(A))
| multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))) = star(strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))) = star(strong_iteration(A)),
inference(resolve,[$cnf( $equal(addition(star(strong_iteration(A)),multiplication(strong_iteration(A),one)),star(strong_iteration(A))) )],[refute_0_876,refute_0_1226]) ).
cnf(refute_0_1228,plain,
ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),
introduced(tautology,[refl,[$fot(ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)))]]) ).
cnf(refute_0_1229,plain,
( ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A))
| multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))) != star(strong_iteration(A))
| ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A))) ),[1,2],$fot(star(strong_iteration(A)))]]) ).
cnf(refute_0_1230,plain,
( multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))) != star(strong_iteration(A))
| ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A))) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),star(strong_iteration(A))) )],[refute_0_1227,refute_0_1230]) ).
cnf(refute_0_1232,plain,
ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(multiplication(one,star(X_120)),X_122),true) = true,
inference(subst,[],[star_induction2:[bind(A,$fot(X_120)),bind(B,$fot(one)),bind(C,$fot(X_122))]]) ).
cnf(refute_0_1233,plain,
multiplication(one,star(X_120)) = star(X_120),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(star(X_120)))]]) ).
cnf(refute_0_1234,plain,
( ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(multiplication(one,star(X_120)),X_122),true) != true
| multiplication(one,star(X_120)) != star(X_120)
| ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(multiplication(one,star(X_120)),X_122),true),true) ),[0,2,0],$fot(star(X_120))]]) ).
cnf(refute_0_1235,plain,
( ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(multiplication(one,star(X_120)),X_122),true) != true
| ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(one,star(X_120)),star(X_120)) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(multiplication(one,star(X_120)),X_122),true),true) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
addition(multiplication(X_122,X_120),one) = addition(one,multiplication(X_122,X_120)),
inference(subst,[],[refute_0_17:[bind(A,$fot(one)),bind(B,$fot(multiplication(X_122,X_120)))]]) ).
cnf(refute_0_1238,plain,
leq(addition(multiplication(X_122,X_120),one),X_122) = leq(addition(multiplication(X_122,X_120),one),X_122),
introduced(tautology,[refl,[$fot(leq(addition(multiplication(X_122,X_120),one),X_122))]]) ).
cnf(refute_0_1239,plain,
( addition(multiplication(X_122,X_120),one) != addition(one,multiplication(X_122,X_120))
| leq(addition(multiplication(X_122,X_120),one),X_122) != leq(addition(multiplication(X_122,X_120),one),X_122)
| leq(addition(multiplication(X_122,X_120),one),X_122) = leq(addition(one,multiplication(X_122,X_120)),X_122) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(multiplication(X_122,X_120),one),X_122),leq(addition(multiplication(X_122,X_120),one),X_122)) ),[1,0],$fot(addition(one,multiplication(X_122,X_120)))]]) ).
cnf(refute_0_1240,plain,
( addition(multiplication(X_122,X_120),one) != addition(one,multiplication(X_122,X_120))
| leq(addition(multiplication(X_122,X_120),one),X_122) = leq(addition(one,multiplication(X_122,X_120)),X_122) ),
inference(resolve,[$cnf( $equal(leq(addition(multiplication(X_122,X_120),one),X_122),leq(addition(multiplication(X_122,X_120),one),X_122)) )],[refute_0_1238,refute_0_1239]) ).
cnf(refute_0_1241,plain,
leq(addition(multiplication(X_122,X_120),one),X_122) = leq(addition(one,multiplication(X_122,X_120)),X_122),
inference(resolve,[$cnf( $equal(addition(multiplication(X_122,X_120),one),addition(one,multiplication(X_122,X_120))) )],[refute_0_1237,refute_0_1240]) ).
cnf(refute_0_1242,plain,
ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) = ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true),
introduced(tautology,[refl,[$fot(ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true))]]) ).
cnf(refute_0_1243,plain,
( ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) != ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true)
| leq(addition(multiplication(X_122,X_120),one),X_122) != leq(addition(one,multiplication(X_122,X_120)),X_122)
| ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) = ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true),ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true)) ),[1,0],$fot(leq(addition(one,multiplication(X_122,X_120)),X_122))]]) ).
cnf(refute_0_1244,plain,
( leq(addition(multiplication(X_122,X_120),one),X_122) != leq(addition(one,multiplication(X_122,X_120)),X_122)
| ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) = ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true),ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true)) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) = ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true),
inference(resolve,[$cnf( $equal(leq(addition(multiplication(X_122,X_120),one),X_122),leq(addition(one,multiplication(X_122,X_120)),X_122)) )],[refute_0_1241,refute_0_1244]) ).
cnf(refute_0_1246,plain,
( ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) != ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true)
| ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) != true
| ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true),true) ),[0],$fot(ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true))]]) ).
cnf(refute_0_1247,plain,
( ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true) != true
| ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true),ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true)) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
ifeq(leq(addition(one,multiplication(X_122,X_120)),X_122),true,leq(star(X_120),X_122),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_122,X_120),one),X_122),true,leq(star(X_120),X_122),true),true) )],[refute_0_1236,refute_0_1247]) ).
cnf(refute_0_1249,plain,
ifeq(leq(addition(one,multiplication(strong_iteration(X_728),strong_iteration(X_728))),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = true,
inference(subst,[],[refute_0_1248:[bind(X_120,$fot(strong_iteration(X_728))),bind(X_122,$fot(strong_iteration(X_728)))]]) ).
cnf(refute_0_1250,plain,
ifeq2(leq(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))),true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) = multiplication(strong_iteration(X_345),strong_iteration(X_345)),
inference(subst,[],[refute_0_9:[bind(X_21,$fot(one)),bind(X_22,$fot(multiplication(strong_iteration(X_345),strong_iteration(X_345))))]]) ).
cnf(refute_0_1251,plain,
ifeq(leq(one,addition(multiplication(X_127,one),X_128)),true,leq(one,multiplication(strong_iteration(X_127),X_128)),true) = true,
inference(subst,[],[infty_coinduction:[bind(A,$fot(X_127)),bind(B,$fot(X_128)),bind(C,$fot(one))]]) ).
cnf(refute_0_1252,plain,
multiplication(X_127,one) = X_127,
inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_127))]]) ).
cnf(refute_0_1253,plain,
( ifeq(leq(one,addition(multiplication(X_127,one),X_128)),true,leq(one,multiplication(strong_iteration(X_127),X_128)),true) != true
| multiplication(X_127,one) != X_127
| ifeq(leq(one,addition(X_127,X_128)),true,leq(one,multiplication(strong_iteration(X_127),X_128)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(one,addition(multiplication(X_127,one),X_128)),true,leq(one,multiplication(strong_iteration(X_127),X_128)),true),true) ),[0,0,1,0],$fot(X_127)]]) ).
cnf(refute_0_1254,plain,
( ifeq(leq(one,addition(multiplication(X_127,one),X_128)),true,leq(one,multiplication(strong_iteration(X_127),X_128)),true) != true
| ifeq(leq(one,addition(X_127,X_128)),true,leq(one,multiplication(strong_iteration(X_127),X_128)),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(X_127,one),X_127) )],[refute_0_1252,refute_0_1253]) ).
cnf(refute_0_1255,plain,
ifeq(leq(one,addition(X_127,X_128)),true,leq(one,multiplication(strong_iteration(X_127),X_128)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(one,addition(multiplication(X_127,one),X_128)),true,leq(one,multiplication(strong_iteration(X_127),X_128)),true),true) )],[refute_0_1251,refute_0_1254]) ).
cnf(refute_0_1256,plain,
ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(strong_iteration(X_343),one))),true) = true,
inference(subst,[],[refute_0_1255:[bind(X_127,$fot(X_343)),bind(X_128,$fot(addition(strong_iteration(X_343),one)))]]) ).
cnf(refute_0_1257,plain,
multiplication(X_31,addition(X_31,one)) = addition(X_31,multiplication(X_31,X_31)),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(X_31))]]) ).
cnf(refute_0_1258,plain,
multiplication(addition(X_31,one),X_31) = addition(X_31,multiplication(X_31,X_31)),
inference(subst,[],[refute_0_142:[bind(X_78,$fot(X_31)),bind(X_80,$fot(X_31))]]) ).
cnf(refute_0_1259,plain,
( multiplication(addition(X_31,one),X_31) != addition(X_31,multiplication(X_31,X_31))
| addition(X_31,multiplication(X_31,X_31)) = multiplication(addition(X_31,one),X_31) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_31,one),X_31))),bind(Y,$fot(addition(X_31,multiplication(X_31,X_31))))]]) ).
cnf(refute_0_1260,plain,
addition(X_31,multiplication(X_31,X_31)) = multiplication(addition(X_31,one),X_31),
inference(resolve,[$cnf( $equal(multiplication(addition(X_31,one),X_31),addition(X_31,multiplication(X_31,X_31))) )],[refute_0_1258,refute_0_1259]) ).
cnf(refute_0_1261,plain,
( addition(X_31,multiplication(X_31,X_31)) != multiplication(addition(X_31,one),X_31)
| multiplication(X_31,addition(X_31,one)) != addition(X_31,multiplication(X_31,X_31))
| multiplication(X_31,addition(X_31,one)) = multiplication(addition(X_31,one),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_31,addition(X_31,one)),addition(X_31,multiplication(X_31,X_31))) ),[1],$fot(multiplication(addition(X_31,one),X_31))]]) ).
cnf(refute_0_1262,plain,
( multiplication(X_31,addition(X_31,one)) != addition(X_31,multiplication(X_31,X_31))
| multiplication(X_31,addition(X_31,one)) = multiplication(addition(X_31,one),X_31) ),
inference(resolve,[$cnf( $equal(addition(X_31,multiplication(X_31,X_31)),multiplication(addition(X_31,one),X_31)) )],[refute_0_1260,refute_0_1261]) ).
cnf(refute_0_1263,plain,
multiplication(X_31,addition(X_31,one)) = multiplication(addition(X_31,one),X_31),
inference(resolve,[$cnf( $equal(multiplication(X_31,addition(X_31,one)),addition(X_31,multiplication(X_31,X_31))) )],[refute_0_1257,refute_0_1262]) ).
cnf(refute_0_1264,plain,
( multiplication(X_32,addition(one,X_32)) != multiplication(addition(X_32,one),X_32)
| multiplication(addition(X_32,one),X_32) = multiplication(X_32,addition(one,X_32)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_32,addition(one,X_32)))),bind(Y,$fot(multiplication(addition(X_32,one),X_32)))]]) ).
cnf(refute_0_1265,plain,
multiplication(addition(X_32,one),X_32) = multiplication(X_32,addition(one,X_32)),
inference(resolve,[$cnf( $equal(multiplication(X_32,addition(one,X_32)),multiplication(addition(X_32,one),X_32)) )],[refute_0_647,refute_0_1264]) ).
cnf(refute_0_1266,plain,
multiplication(addition(X_31,one),X_31) = multiplication(X_31,addition(one,X_31)),
inference(subst,[],[refute_0_1265:[bind(X_32,$fot(X_31))]]) ).
cnf(refute_0_1267,plain,
( multiplication(X_31,addition(X_31,one)) != multiplication(addition(X_31,one),X_31)
| multiplication(addition(X_31,one),X_31) != multiplication(X_31,addition(one,X_31))
| multiplication(X_31,addition(X_31,one)) = multiplication(X_31,addition(one,X_31)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(X_31,addition(X_31,one)),multiplication(X_31,addition(one,X_31))) ),[0],$fot(multiplication(addition(X_31,one),X_31))]]) ).
cnf(refute_0_1268,plain,
( multiplication(X_31,addition(X_31,one)) != multiplication(addition(X_31,one),X_31)
| multiplication(X_31,addition(X_31,one)) = multiplication(X_31,addition(one,X_31)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_31,one),X_31),multiplication(X_31,addition(one,X_31))) )],[refute_0_1266,refute_0_1267]) ).
cnf(refute_0_1269,plain,
multiplication(X_31,addition(X_31,one)) = multiplication(X_31,addition(one,X_31)),
inference(resolve,[$cnf( $equal(multiplication(X_31,addition(X_31,one)),multiplication(addition(X_31,one),X_31)) )],[refute_0_1263,refute_0_1268]) ).
cnf(refute_0_1270,plain,
multiplication(strong_iteration(X_343),addition(strong_iteration(X_343),one)) = multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))),
inference(subst,[],[refute_0_1269:[bind(X_31,$fot(strong_iteration(X_343)))]]) ).
cnf(refute_0_1271,plain,
( ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(strong_iteration(X_343),one))),true) != true
| multiplication(strong_iteration(X_343),addition(strong_iteration(X_343),one)) != multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(strong_iteration(X_343),one))),true),true) ),[0,2,1],$fot(multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))))]]) ).
cnf(refute_0_1272,plain,
( ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(strong_iteration(X_343),one))),true) != true
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_343),addition(strong_iteration(X_343),one)),multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) )],[refute_0_1270,refute_0_1271]) ).
cnf(refute_0_1273,plain,
ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(strong_iteration(X_343),one))),true),true) )],[refute_0_1256,refute_0_1272]) ).
cnf(refute_0_1274,plain,
ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true) = leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))))),bind(C,$fot(true))]]) ).
cnf(refute_0_1275,plain,
addition(one,strong_iteration(X_343)) = strong_iteration(X_343),
inference(subst,[],[refute_0_522:[bind(A,$fot(X_343))]]) ).
cnf(refute_0_1276,plain,
multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))) = multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))),
introduced(tautology,[refl,[$fot(multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))))]]) ).
cnf(refute_0_1277,plain,
( addition(one,strong_iteration(X_343)) != strong_iteration(X_343)
| multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))) != multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))
| multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))) = multiplication(strong_iteration(X_343),strong_iteration(X_343)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))),multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) ),[1,1],$fot(strong_iteration(X_343))]]) ).
cnf(refute_0_1278,plain,
( addition(one,strong_iteration(X_343)) != strong_iteration(X_343)
| multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))) = multiplication(strong_iteration(X_343),strong_iteration(X_343)) ),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))),multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))) = multiplication(strong_iteration(X_343),strong_iteration(X_343)),
inference(resolve,[$cnf( $equal(addition(one,strong_iteration(X_343)),strong_iteration(X_343)) )],[refute_0_1275,refute_0_1278]) ).
cnf(refute_0_1280,plain,
leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) = leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),
introduced(tautology,[refl,[$fot(leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))))]]) ).
cnf(refute_0_1281,plain,
( leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) != leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))))
| multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))) != multiplication(strong_iteration(X_343),strong_iteration(X_343))
| leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) = leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))) ),
introduced(tautology,[equality,[$cnf( $equal(leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))))) ),[1,1],$fot(multiplication(strong_iteration(X_343),strong_iteration(X_343)))]]) ).
cnf(refute_0_1282,plain,
( multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))) != multiplication(strong_iteration(X_343),strong_iteration(X_343))
| leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) = leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))) ),
inference(resolve,[$cnf( $equal(leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))))) )],[refute_0_1280,refute_0_1281]) ).
cnf(refute_0_1283,plain,
leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) = leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),
inference(resolve,[$cnf( $equal(multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343))),multiplication(strong_iteration(X_343),strong_iteration(X_343))) )],[refute_0_1279,refute_0_1282]) ).
cnf(refute_0_1284,plain,
ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),
introduced(tautology,[refl,[$fot(ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true))]]) ).
cnf(refute_0_1285,plain,
( ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true)
| leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) != leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))
| ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true)) ),[1,2],$fot(leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))))]]) ).
cnf(refute_0_1286,plain,
( leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))) != leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))
| ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true) ),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true)) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true),
inference(resolve,[$cnf( $equal(leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))) )],[refute_0_1283,refute_0_1286]) ).
cnf(refute_0_1288,plain,
ifeq3(addition(A,addition(A,X_139)),addition(A,X_139),leq(A,addition(A,X_139)),true) = true,
inference(subst,[],[order:[bind(B,$fot(addition(A,X_139)))]]) ).
cnf(refute_0_1289,plain,
addition(A,addition(A,X_139)) = addition(A,X_139),
inference(subst,[],[refute_0_41:[bind(X_65,$fot(A)),bind(X_66,$fot(X_139))]]) ).
cnf(refute_0_1290,plain,
( addition(A,addition(A,X_139)) != addition(A,X_139)
| ifeq3(addition(A,addition(A,X_139)),addition(A,X_139),leq(A,addition(A,X_139)),true) != true
| ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(A,addition(A,X_139)),addition(A,X_139),leq(A,addition(A,X_139)),true),true) ),[0,0],$fot(addition(A,X_139))]]) ).
cnf(refute_0_1291,plain,
( ifeq3(addition(A,addition(A,X_139)),addition(A,X_139),leq(A,addition(A,X_139)),true) != true
| ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true) = true ),
inference(resolve,[$cnf( $equal(addition(A,addition(A,X_139)),addition(A,X_139)) )],[refute_0_1289,refute_0_1290]) ).
cnf(refute_0_1292,plain,
ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(A,addition(A,X_139)),addition(A,X_139),leq(A,addition(A,X_139)),true),true) )],[refute_0_1288,refute_0_1291]) ).
cnf(refute_0_1293,plain,
ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true) = leq(A,addition(A,X_139)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(addition(A,X_139))),bind(B,$fot(leq(A,addition(A,X_139)))),bind(C,$fot(true))]]) ).
cnf(refute_0_1294,plain,
( ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true) != leq(A,addition(A,X_139))
| ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true) != true
| leq(A,addition(A,X_139)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true),true) ),[0],$fot(leq(A,addition(A,X_139)))]]) ).
cnf(refute_0_1295,plain,
( ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true) != true
| leq(A,addition(A,X_139)) = true ),
inference(resolve,[$cnf( $equal(ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true),leq(A,addition(A,X_139))) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
leq(A,addition(A,X_139)) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(A,X_139),addition(A,X_139),leq(A,addition(A,X_139)),true),true) )],[refute_0_1292,refute_0_1295]) ).
cnf(refute_0_1297,plain,
leq(A,addition(A,addition(X_170,X_171))) = true,
inference(subst,[],[refute_0_1296:[bind(X_139,$fot(addition(X_170,X_171)))]]) ).
cnf(refute_0_1298,plain,
addition(A,addition(X_170,X_171)) = addition(X_170,addition(X_171,A)),
inference(subst,[],[refute_0_94:[bind(X_64,$fot(X_170)),bind(X_65,$fot(X_171))]]) ).
cnf(refute_0_1299,plain,
( addition(A,addition(X_170,X_171)) != addition(X_170,addition(X_171,A))
| leq(A,addition(A,addition(X_170,X_171))) != true
| leq(A,addition(X_170,addition(X_171,A))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(A,addition(A,addition(X_170,X_171))),true) ),[0,1],$fot(addition(X_170,addition(X_171,A)))]]) ).
cnf(refute_0_1300,plain,
( leq(A,addition(A,addition(X_170,X_171))) != true
| leq(A,addition(X_170,addition(X_171,A))) = true ),
inference(resolve,[$cnf( $equal(addition(A,addition(X_170,X_171)),addition(X_170,addition(X_171,A))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
leq(A,addition(X_170,addition(X_171,A))) = true,
inference(resolve,[$cnf( $equal(leq(A,addition(A,addition(X_170,X_171))),true) )],[refute_0_1297,refute_0_1300]) ).
cnf(refute_0_1302,plain,
leq(one,addition(X_343,addition(strong_iteration(X_343),one))) = true,
inference(subst,[],[refute_0_1301:[bind(A,$fot(one)),bind(X_170,$fot(X_343)),bind(X_171,$fot(strong_iteration(X_343)))]]) ).
cnf(refute_0_1303,plain,
ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),
introduced(tautology,[refl,[$fot(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true))]]) ).
cnf(refute_0_1304,plain,
( ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true)
| leq(one,addition(X_343,addition(strong_iteration(X_343),one))) != true
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_1305,plain,
( leq(one,addition(X_343,addition(strong_iteration(X_343),one))) != true
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true)) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),
inference(resolve,[$cnf( $equal(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true) )],[refute_0_1302,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true)
| ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true)
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true))),bind(Y,$fot(ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true))),bind(Z,$fot(ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true)))]]) ).
cnf(refute_0_1308,plain,
( ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true)
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true)) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true)) )],[refute_0_1287,refute_0_1308]) ).
cnf(refute_0_1310,plain,
( ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true)
| ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true) != leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true))),bind(Y,$fot(ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true))),bind(Z,$fot(leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))))]]) ).
cnf(refute_0_1311,plain,
( ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true) != leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))) ),
inference(resolve,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true)) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) = leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))),true),leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))) )],[refute_0_1274,refute_0_1311]) ).
cnf(refute_0_1313,plain,
( ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))
| ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != true
| leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),true) ),[0],$fot(leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))))]]) ).
cnf(refute_0_1314,plain,
( ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true) != true
| leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343)))) )],[refute_0_1312,refute_0_1313]) ).
cnf(refute_0_1315,plain,
leq(one,multiplication(strong_iteration(X_343),strong_iteration(X_343))) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(one,addition(X_343,addition(strong_iteration(X_343),one))),true,leq(one,multiplication(strong_iteration(X_343),addition(one,strong_iteration(X_343)))),true),true) )],[refute_0_1273,refute_0_1314]) ).
cnf(refute_0_1316,plain,
leq(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))) = true,
inference(subst,[],[refute_0_1315:[bind(X_343,$fot(X_345))]]) ).
cnf(refute_0_1317,plain,
( ifeq2(leq(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))),true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) != multiplication(strong_iteration(X_345),strong_iteration(X_345))
| leq(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))) != true
| ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) = multiplication(strong_iteration(X_345),strong_iteration(X_345)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))),true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))),multiplication(strong_iteration(X_345),strong_iteration(X_345))) ),[0,0],$fot(true)]]) ).
cnf(refute_0_1318,plain,
( ifeq2(leq(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))),true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) != multiplication(strong_iteration(X_345),strong_iteration(X_345))
| ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) = multiplication(strong_iteration(X_345),strong_iteration(X_345)) ),
inference(resolve,[$cnf( $equal(leq(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))),true) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) = multiplication(strong_iteration(X_345),strong_iteration(X_345)),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))),true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))),multiplication(strong_iteration(X_345),strong_iteration(X_345))) )],[refute_0_1250,refute_0_1318]) ).
cnf(refute_0_1320,plain,
addition(A,addition(star(star(one)),multiplication(star(one),zero))) = addition(star(star(one)),addition(multiplication(star(one),zero),A)),
inference(subst,[],[refute_0_94:[bind(X_64,$fot(star(star(one)))),bind(X_65,$fot(multiplication(star(one),zero)))]]) ).
cnf(refute_0_1321,plain,
addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) = addition(star(one),star(star(one))),
inference(subst,[],[refute_0_908:[bind(X_64,$fot(star(one))),bind(X_66,$fot(star(star(one))))]]) ).
cnf(refute_0_1322,plain,
multiplication(star(one),addition(one,star(star(one)))) = addition(star(one),multiplication(star(one),star(star(one)))),
inference(subst,[],[refute_0_32:[bind(X_30,$fot(star(one))),bind(X_32,$fot(star(star(one))))]]) ).
cnf(refute_0_1323,plain,
ifeq2(leq(one,multiplication(A,star(A))),true,addition(one,multiplication(A,star(A))),multiplication(A,star(A))) = multiplication(A,star(A)),
inference(subst,[],[order_1:[bind(A,$fot(one)),bind(B,$fot(multiplication(A,star(A))))]]) ).
cnf(refute_0_1324,plain,
( addition(one,multiplication(A,star(A))) != star(A)
| ifeq2(leq(one,multiplication(A,star(A))),true,addition(one,multiplication(A,star(A))),multiplication(A,star(A))) != multiplication(A,star(A))
| ifeq2(leq(one,multiplication(A,star(A))),true,star(A),multiplication(A,star(A))) = multiplication(A,star(A)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(one,multiplication(A,star(A))),true,addition(one,multiplication(A,star(A))),multiplication(A,star(A))),multiplication(A,star(A))) ),[0,2],$fot(star(A))]]) ).
cnf(refute_0_1325,plain,
( ifeq2(leq(one,multiplication(A,star(A))),true,addition(one,multiplication(A,star(A))),multiplication(A,star(A))) != multiplication(A,star(A))
| ifeq2(leq(one,multiplication(A,star(A))),true,star(A),multiplication(A,star(A))) = multiplication(A,star(A)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,star(A))),star(A)) )],[star_unfold1,refute_0_1324]) ).
cnf(refute_0_1326,plain,
ifeq2(leq(one,multiplication(A,star(A))),true,star(A),multiplication(A,star(A))) = multiplication(A,star(A)),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,multiplication(A,star(A))),true,addition(one,multiplication(A,star(A))),multiplication(A,star(A))),multiplication(A,star(A))) )],[refute_0_1323,refute_0_1325]) ).
cnf(refute_0_1327,plain,
ifeq2(leq(one,multiplication(star(one),star(star(one)))),true,star(star(one)),multiplication(star(one),star(star(one)))) = multiplication(star(one),star(star(one))),
inference(subst,[],[refute_0_1326:[bind(A,$fot(star(one)))]]) ).
cnf(refute_0_1328,plain,
leq(one,multiplication(star(one),addition(one,multiplication(star(A),A)))) = true,
inference(subst,[],[refute_0_300:[bind(X_32,$fot(multiplication(star(A),A)))]]) ).
cnf(refute_0_1329,plain,
( addition(one,multiplication(star(A),A)) != star(A)
| leq(one,multiplication(star(one),addition(one,multiplication(star(A),A)))) != true
| leq(one,multiplication(star(one),star(A))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(one,multiplication(star(one),addition(one,multiplication(star(A),A)))),true) ),[0,1,1],$fot(star(A))]]) ).
cnf(refute_0_1330,plain,
( leq(one,multiplication(star(one),addition(one,multiplication(star(A),A)))) != true
| leq(one,multiplication(star(one),star(A))) = true ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(star(A),A)),star(A)) )],[star_unfold2,refute_0_1329]) ).
cnf(refute_0_1331,plain,
leq(one,multiplication(star(one),star(A))) = true,
inference(resolve,[$cnf( $equal(leq(one,multiplication(star(one),addition(one,multiplication(star(A),A)))),true) )],[refute_0_1328,refute_0_1330]) ).
cnf(refute_0_1332,plain,
leq(one,multiplication(star(one),star(star(one)))) = true,
inference(subst,[],[refute_0_1331:[bind(A,$fot(star(one)))]]) ).
cnf(refute_0_1333,plain,
( ifeq2(leq(one,multiplication(star(one),star(star(one)))),true,star(star(one)),multiplication(star(one),star(star(one)))) != multiplication(star(one),star(star(one)))
| leq(one,multiplication(star(one),star(star(one)))) != true
| ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))) = multiplication(star(one),star(star(one))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),star(star(one)))),true,star(star(one)),multiplication(star(one),star(star(one)))),multiplication(star(one),star(star(one)))) ),[0,0],$fot(true)]]) ).
cnf(refute_0_1334,plain,
( ifeq2(leq(one,multiplication(star(one),star(star(one)))),true,star(star(one)),multiplication(star(one),star(star(one)))) != multiplication(star(one),star(star(one)))
| ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))) = multiplication(star(one),star(star(one))) ),
inference(resolve,[$cnf( $equal(leq(one,multiplication(star(one),star(star(one)))),true) )],[refute_0_1332,refute_0_1333]) ).
cnf(refute_0_1335,plain,
ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))) = multiplication(star(one),star(star(one))),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,multiplication(star(one),star(star(one)))),true,star(star(one)),multiplication(star(one),star(star(one)))),multiplication(star(one),star(star(one)))) )],[refute_0_1327,refute_0_1334]) ).
cnf(refute_0_1336,plain,
ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))) = star(star(one)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(star(star(one)))),bind(C,$fot(multiplication(star(one),star(star(one)))))]]) ).
cnf(refute_0_1337,plain,
( ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))) != multiplication(star(one),star(star(one)))
| ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))) != star(star(one))
| star(star(one)) = multiplication(star(one),star(star(one))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))),multiplication(star(one),star(star(one)))) ),[0],$fot(star(star(one)))]]) ).
cnf(refute_0_1338,plain,
( ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))) != multiplication(star(one),star(star(one)))
| star(star(one)) = multiplication(star(one),star(star(one))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))),star(star(one))) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
star(star(one)) = multiplication(star(one),star(star(one))),
inference(resolve,[$cnf( $equal(ifeq2(true,true,star(star(one)),multiplication(star(one),star(star(one)))),multiplication(star(one),star(star(one)))) )],[refute_0_1335,refute_0_1338]) ).
cnf(refute_0_1340,plain,
( star(star(one)) != multiplication(star(one),star(star(one)))
| multiplication(star(one),star(star(one))) = star(star(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(star(star(one)))),bind(Y,$fot(multiplication(star(one),star(star(one)))))]]) ).
cnf(refute_0_1341,plain,
multiplication(star(one),star(star(one))) = star(star(one)),
inference(resolve,[$cnf( $equal(star(star(one)),multiplication(star(one),star(star(one)))) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
( multiplication(star(one),addition(one,star(star(one)))) != addition(star(one),multiplication(star(one),star(star(one))))
| multiplication(star(one),star(star(one))) != star(star(one))
| multiplication(star(one),addition(one,star(star(one)))) = addition(star(one),star(star(one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),addition(one,star(star(one)))),addition(star(one),multiplication(star(one),star(star(one))))) ),[1,1],$fot(star(star(one)))]]) ).
cnf(refute_0_1343,plain,
( multiplication(star(one),addition(one,star(star(one)))) != addition(star(one),multiplication(star(one),star(star(one))))
| multiplication(star(one),addition(one,star(star(one)))) = addition(star(one),star(star(one))) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),star(star(one))),star(star(one))) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
multiplication(star(one),addition(one,star(star(one)))) = addition(star(one),star(star(one))),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(one,star(star(one)))),addition(star(one),multiplication(star(one),star(star(one))))) )],[refute_0_1322,refute_0_1343]) ).
cnf(refute_0_1345,plain,
addition(one,star(star(one))) = star(star(one)),
inference(subst,[],[refute_0_344:[bind(A,$fot(star(one)))]]) ).
cnf(refute_0_1346,plain,
multiplication(star(one),addition(one,star(star(one)))) = multiplication(star(one),addition(one,star(star(one)))),
introduced(tautology,[refl,[$fot(multiplication(star(one),addition(one,star(star(one)))))]]) ).
cnf(refute_0_1347,plain,
( addition(one,star(star(one))) != star(star(one))
| multiplication(star(one),addition(one,star(star(one)))) != multiplication(star(one),addition(one,star(star(one))))
| multiplication(star(one),addition(one,star(star(one)))) = multiplication(star(one),star(star(one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),addition(one,star(star(one)))),multiplication(star(one),addition(one,star(star(one))))) ),[1,1],$fot(star(star(one)))]]) ).
cnf(refute_0_1348,plain,
( addition(one,star(star(one))) != star(star(one))
| multiplication(star(one),addition(one,star(star(one)))) = multiplication(star(one),star(star(one))) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(one,star(star(one)))),multiplication(star(one),addition(one,star(star(one))))) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
multiplication(star(one),addition(one,star(star(one)))) = multiplication(star(one),star(star(one))),
inference(resolve,[$cnf( $equal(addition(one,star(star(one))),star(star(one))) )],[refute_0_1345,refute_0_1348]) ).
cnf(refute_0_1350,plain,
( multiplication(star(one),addition(one,star(star(one)))) != multiplication(star(one),star(star(one)))
| multiplication(star(one),star(star(one))) != star(star(one))
| multiplication(star(one),addition(one,star(star(one)))) = star(star(one)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(star(one),addition(one,star(star(one)))))),bind(Y,$fot(multiplication(star(one),star(star(one))))),bind(Z,$fot(star(star(one))))]]) ).
cnf(refute_0_1351,plain,
( multiplication(star(one),star(star(one))) != star(star(one))
| multiplication(star(one),addition(one,star(star(one)))) = star(star(one)) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(one,star(star(one)))),multiplication(star(one),star(star(one)))) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
multiplication(star(one),addition(one,star(star(one)))) = star(star(one)),
inference(resolve,[$cnf( $equal(multiplication(star(one),star(star(one))),star(star(one))) )],[refute_0_1341,refute_0_1351]) ).
cnf(refute_0_1353,plain,
( multiplication(star(one),addition(one,star(star(one)))) != addition(star(one),star(star(one)))
| multiplication(star(one),addition(one,star(star(one)))) != star(star(one))
| star(star(one)) = addition(star(one),star(star(one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),addition(one,star(star(one)))),addition(star(one),star(star(one)))) ),[0],$fot(star(star(one)))]]) ).
cnf(refute_0_1354,plain,
( multiplication(star(one),addition(one,star(star(one)))) != addition(star(one),star(star(one)))
| star(star(one)) = addition(star(one),star(star(one))) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(one,star(star(one)))),star(star(one))) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
star(star(one)) = addition(star(one),star(star(one))),
inference(resolve,[$cnf( $equal(multiplication(star(one),addition(one,star(star(one)))),addition(star(one),star(star(one)))) )],[refute_0_1344,refute_0_1354]) ).
cnf(refute_0_1356,plain,
( star(star(one)) != addition(star(one),star(star(one)))
| addition(star(one),star(star(one))) = star(star(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(star(star(one)))),bind(Y,$fot(addition(star(one),star(star(one)))))]]) ).
cnf(refute_0_1357,plain,
addition(star(one),star(star(one))) = star(star(one)),
inference(resolve,[$cnf( $equal(star(star(one)),addition(star(one),star(star(one)))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
( addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) != addition(star(one),star(star(one)))
| addition(star(one),star(star(one))) != star(star(one))
| addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) = star(star(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(star(one),addition(multiplication(star(one),zero),star(star(one)))),star(star(one))) ),[0],$fot(addition(star(one),star(star(one))))]]) ).
cnf(refute_0_1359,plain,
( addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) != addition(star(one),star(star(one)))
| addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) = star(star(one)) ),
inference(resolve,[$cnf( $equal(addition(star(one),star(star(one))),star(star(one))) )],[refute_0_1357,refute_0_1358]) ).
cnf(refute_0_1360,plain,
addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) = star(star(one)),
inference(resolve,[$cnf( $equal(addition(star(one),addition(multiplication(star(one),zero),star(star(one)))),addition(star(one),star(star(one)))) )],[refute_0_1321,refute_0_1359]) ).
cnf(refute_0_1361,plain,
addition(multiplication(star(one),zero),star(star(one))) = addition(star(star(one)),multiplication(star(one),zero)),
inference(subst,[],[refute_0_17:[bind(A,$fot(star(star(one)))),bind(B,$fot(multiplication(star(one),zero)))]]) ).
cnf(refute_0_1362,plain,
addition(star(one),addition(X_65,star(star(one)))) = addition(X_65,addition(star(one),star(star(one)))),
inference(subst,[],[refute_0_604:[bind(X_64,$fot(star(one))),bind(X_66,$fot(star(star(one))))]]) ).
cnf(refute_0_1363,plain,
( addition(star(one),addition(X_65,star(star(one)))) != addition(X_65,addition(star(one),star(star(one))))
| addition(star(one),star(star(one))) != star(star(one))
| addition(star(one),addition(X_65,star(star(one)))) = addition(X_65,star(star(one))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(one),addition(X_65,star(star(one)))),addition(X_65,addition(star(one),star(star(one))))) ),[1,1],$fot(star(star(one)))]]) ).
cnf(refute_0_1364,plain,
( addition(star(one),addition(X_65,star(star(one)))) != addition(X_65,addition(star(one),star(star(one))))
| addition(star(one),addition(X_65,star(star(one)))) = addition(X_65,star(star(one))) ),
inference(resolve,[$cnf( $equal(addition(star(one),star(star(one))),star(star(one))) )],[refute_0_1357,refute_0_1363]) ).
cnf(refute_0_1365,plain,
addition(star(one),addition(X_65,star(star(one)))) = addition(X_65,star(star(one))),
inference(resolve,[$cnf( $equal(addition(star(one),addition(X_65,star(star(one)))),addition(X_65,addition(star(one),star(star(one))))) )],[refute_0_1362,refute_0_1364]) ).
cnf(refute_0_1366,plain,
addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) = addition(multiplication(star(one),zero),star(star(one))),
inference(subst,[],[refute_0_1365:[bind(X_65,$fot(multiplication(star(one),zero)))]]) ).
cnf(refute_0_1367,plain,
( addition(multiplication(star(one),zero),star(star(one))) != addition(star(star(one)),multiplication(star(one),zero))
| addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) != addition(multiplication(star(one),zero),star(star(one)))
| addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) = addition(star(star(one)),multiplication(star(one),zero)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(one),addition(multiplication(star(one),zero),star(star(one)))))),bind(Y,$fot(addition(multiplication(star(one),zero),star(star(one))))),bind(Z,$fot(addition(star(star(one)),multiplication(star(one),zero))))]]) ).
cnf(refute_0_1368,plain,
( addition(multiplication(star(one),zero),star(star(one))) != addition(star(star(one)),multiplication(star(one),zero))
| addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) = addition(star(star(one)),multiplication(star(one),zero)) ),
inference(resolve,[$cnf( $equal(addition(star(one),addition(multiplication(star(one),zero),star(star(one)))),addition(multiplication(star(one),zero),star(star(one)))) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) = addition(star(star(one)),multiplication(star(one),zero)),
inference(resolve,[$cnf( $equal(addition(multiplication(star(one),zero),star(star(one))),addition(star(star(one)),multiplication(star(one),zero))) )],[refute_0_1361,refute_0_1368]) ).
cnf(refute_0_1370,plain,
( addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) != addition(star(star(one)),multiplication(star(one),zero))
| addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) != star(star(one))
| addition(star(star(one)),multiplication(star(one),zero)) = star(star(one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(one),addition(multiplication(star(one),zero),star(star(one)))),star(star(one))) ),[0],$fot(addition(star(star(one)),multiplication(star(one),zero)))]]) ).
cnf(refute_0_1371,plain,
( addition(star(one),addition(multiplication(star(one),zero),star(star(one)))) != star(star(one))
| addition(star(star(one)),multiplication(star(one),zero)) = star(star(one)) ),
inference(resolve,[$cnf( $equal(addition(star(one),addition(multiplication(star(one),zero),star(star(one)))),addition(star(star(one)),multiplication(star(one),zero))) )],[refute_0_1369,refute_0_1370]) ).
cnf(refute_0_1372,plain,
addition(star(star(one)),multiplication(star(one),zero)) = star(star(one)),
inference(resolve,[$cnf( $equal(addition(star(one),addition(multiplication(star(one),zero),star(star(one)))),star(star(one))) )],[refute_0_1360,refute_0_1371]) ).
cnf(refute_0_1373,plain,
( addition(A,addition(star(star(one)),multiplication(star(one),zero))) != addition(star(star(one)),addition(multiplication(star(one),zero),A))
| addition(star(star(one)),multiplication(star(one),zero)) != star(star(one))
| addition(A,star(star(one))) = addition(star(star(one)),addition(multiplication(star(one),zero),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(star(star(one)),multiplication(star(one),zero))),addition(star(star(one)),addition(multiplication(star(one),zero),A))) ),[0,1],$fot(star(star(one)))]]) ).
cnf(refute_0_1374,plain,
( addition(A,addition(star(star(one)),multiplication(star(one),zero))) != addition(star(star(one)),addition(multiplication(star(one),zero),A))
| addition(A,star(star(one))) = addition(star(star(one)),addition(multiplication(star(one),zero),A)) ),
inference(resolve,[$cnf( $equal(addition(star(star(one)),multiplication(star(one),zero)),star(star(one))) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
addition(A,star(star(one))) = addition(star(star(one)),addition(multiplication(star(one),zero),A)),
inference(resolve,[$cnf( $equal(addition(A,addition(star(star(one)),multiplication(star(one),zero))),addition(star(star(one)),addition(multiplication(star(one),zero),A))) )],[refute_0_1320,refute_0_1374]) ).
cnf(refute_0_1376,plain,
star(star(one)) = star(star(one)),
introduced(tautology,[refl,[$fot(star(star(one)))]]) ).
cnf(refute_0_1377,plain,
( star(one) != one
| star(star(one)) != star(star(one))
| star(star(one)) = star(one) ),
introduced(tautology,[equality,[$cnf( $equal(star(star(one)),star(star(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1378,plain,
( star(one) != one
| star(star(one)) = star(one) ),
inference(resolve,[$cnf( $equal(star(star(one)),star(star(one))) )],[refute_0_1376,refute_0_1377]) ).
cnf(refute_0_1379,plain,
star(star(one)) = star(one),
inference(resolve,[$cnf( $equal(star(one),one) )],[refute_0_219,refute_0_1378]) ).
cnf(refute_0_1380,plain,
( star(one) != one
| star(star(one)) != star(one)
| star(star(one)) = one ),
inference(subst,[],[refute_0_55:[bind(X,$fot(star(star(one)))),bind(Y,$fot(star(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1381,plain,
( star(one) != one
| star(star(one)) = one ),
inference(resolve,[$cnf( $equal(star(star(one)),star(one)) )],[refute_0_1379,refute_0_1380]) ).
cnf(refute_0_1382,plain,
star(star(one)) = one,
inference(resolve,[$cnf( $equal(star(one),one) )],[refute_0_219,refute_0_1381]) ).
cnf(refute_0_1383,plain,
addition(A,star(star(one))) = addition(A,star(star(one))),
introduced(tautology,[refl,[$fot(addition(A,star(star(one))))]]) ).
cnf(refute_0_1384,plain,
( addition(A,star(star(one))) != addition(A,star(star(one)))
| star(star(one)) != one
| addition(A,star(star(one))) = addition(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,star(star(one))),addition(A,star(star(one)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1385,plain,
( star(star(one)) != one
| addition(A,star(star(one))) = addition(A,one) ),
inference(resolve,[$cnf( $equal(addition(A,star(star(one))),addition(A,star(star(one)))) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
addition(A,star(star(one))) = addition(A,one),
inference(resolve,[$cnf( $equal(star(star(one)),one) )],[refute_0_1382,refute_0_1385]) ).
cnf(refute_0_1387,plain,
( addition(A,star(star(one))) != addition(A,one)
| addition(A,star(star(one))) != addition(star(star(one)),addition(multiplication(star(one),zero),A))
| addition(A,one) = addition(star(star(one)),addition(multiplication(star(one),zero),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,star(star(one))),addition(star(star(one)),addition(multiplication(star(one),zero),A))) ),[0],$fot(addition(A,one))]]) ).
cnf(refute_0_1388,plain,
( addition(A,star(star(one))) != addition(star(star(one)),addition(multiplication(star(one),zero),A))
| addition(A,one) = addition(star(star(one)),addition(multiplication(star(one),zero),A)) ),
inference(resolve,[$cnf( $equal(addition(A,star(star(one))),addition(A,one)) )],[refute_0_1386,refute_0_1387]) ).
cnf(refute_0_1389,plain,
multiplication(one,zero) = zero,
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(zero))]]) ).
cnf(refute_0_1390,plain,
multiplication(star(one),zero) = multiplication(star(one),zero),
introduced(tautology,[refl,[$fot(multiplication(star(one),zero))]]) ).
cnf(refute_0_1391,plain,
( multiplication(star(one),zero) != multiplication(star(one),zero)
| star(one) != one
| multiplication(star(one),zero) = multiplication(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(one),zero),multiplication(star(one),zero)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1392,plain,
( star(one) != one
| multiplication(star(one),zero) = multiplication(one,zero) ),
inference(resolve,[$cnf( $equal(multiplication(star(one),zero),multiplication(star(one),zero)) )],[refute_0_1390,refute_0_1391]) ).
cnf(refute_0_1393,plain,
multiplication(star(one),zero) = multiplication(one,zero),
inference(resolve,[$cnf( $equal(star(one),one) )],[refute_0_219,refute_0_1392]) ).
cnf(refute_0_1394,plain,
( multiplication(one,zero) != zero
| multiplication(star(one),zero) != multiplication(one,zero)
| multiplication(star(one),zero) = zero ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(star(one),zero))),bind(Y,$fot(multiplication(one,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1395,plain,
( multiplication(one,zero) != zero
| multiplication(star(one),zero) = zero ),
inference(resolve,[$cnf( $equal(multiplication(star(one),zero),multiplication(one,zero)) )],[refute_0_1393,refute_0_1394]) ).
cnf(refute_0_1396,plain,
multiplication(star(one),zero) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,zero),zero) )],[refute_0_1389,refute_0_1395]) ).
cnf(refute_0_1397,plain,
addition(multiplication(star(one),zero),A) = addition(multiplication(star(one),zero),A),
introduced(tautology,[refl,[$fot(addition(multiplication(star(one),zero),A))]]) ).
cnf(refute_0_1398,plain,
( addition(multiplication(star(one),zero),A) != addition(multiplication(star(one),zero),A)
| multiplication(star(one),zero) != zero
| addition(multiplication(star(one),zero),A) = addition(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(star(one),zero),A),addition(multiplication(star(one),zero),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1399,plain,
( multiplication(star(one),zero) != zero
| addition(multiplication(star(one),zero),A) = addition(zero,A) ),
inference(resolve,[$cnf( $equal(addition(multiplication(star(one),zero),A),addition(multiplication(star(one),zero),A)) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
addition(multiplication(star(one),zero),A) = addition(zero,A),
inference(resolve,[$cnf( $equal(multiplication(star(one),zero),zero) )],[refute_0_1396,refute_0_1399]) ).
cnf(refute_0_1401,plain,
( addition(multiplication(star(one),zero),A) != addition(zero,A)
| addition(zero,A) != A
| addition(multiplication(star(one),zero),A) = A ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(multiplication(star(one),zero),A))),bind(Y,$fot(addition(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_1402,plain,
( addition(zero,A) != A
| addition(multiplication(star(one),zero),A) = A ),
inference(resolve,[$cnf( $equal(addition(multiplication(star(one),zero),A),addition(zero,A)) )],[refute_0_1400,refute_0_1401]) ).
cnf(refute_0_1403,plain,
addition(multiplication(star(one),zero),A) = A,
inference(resolve,[$cnf( $equal(addition(zero,A),A) )],[refute_0_894,refute_0_1402]) ).
cnf(refute_0_1404,plain,
addition(one,addition(multiplication(star(one),zero),A)) = addition(one,addition(multiplication(star(one),zero),A)),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(star(one),zero),A)))]]) ).
cnf(refute_0_1405,plain,
( addition(multiplication(star(one),zero),A) != A
| addition(one,addition(multiplication(star(one),zero),A)) != addition(one,addition(multiplication(star(one),zero),A))
| addition(one,addition(multiplication(star(one),zero),A)) = addition(one,A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(star(one),zero),A)),addition(one,addition(multiplication(star(one),zero),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_1406,plain,
( addition(multiplication(star(one),zero),A) != A
| addition(one,addition(multiplication(star(one),zero),A)) = addition(one,A) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(one),zero),A)),addition(one,addition(multiplication(star(one),zero),A))) )],[refute_0_1404,refute_0_1405]) ).
cnf(refute_0_1407,plain,
addition(one,addition(multiplication(star(one),zero),A)) = addition(one,A),
inference(resolve,[$cnf( $equal(addition(multiplication(star(one),zero),A),A) )],[refute_0_1403,refute_0_1406]) ).
cnf(refute_0_1408,plain,
addition(star(star(one)),addition(multiplication(star(one),zero),A)) = addition(star(star(one)),addition(multiplication(star(one),zero),A)),
introduced(tautology,[refl,[$fot(addition(star(star(one)),addition(multiplication(star(one),zero),A)))]]) ).
cnf(refute_0_1409,plain,
( addition(star(star(one)),addition(multiplication(star(one),zero),A)) != addition(star(star(one)),addition(multiplication(star(one),zero),A))
| star(star(one)) != one
| addition(star(star(one)),addition(multiplication(star(one),zero),A)) = addition(one,addition(multiplication(star(one),zero),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(star(one)),addition(multiplication(star(one),zero),A)),addition(star(star(one)),addition(multiplication(star(one),zero),A))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1410,plain,
( star(star(one)) != one
| addition(star(star(one)),addition(multiplication(star(one),zero),A)) = addition(one,addition(multiplication(star(one),zero),A)) ),
inference(resolve,[$cnf( $equal(addition(star(star(one)),addition(multiplication(star(one),zero),A)),addition(star(star(one)),addition(multiplication(star(one),zero),A))) )],[refute_0_1408,refute_0_1409]) ).
cnf(refute_0_1411,plain,
addition(star(star(one)),addition(multiplication(star(one),zero),A)) = addition(one,addition(multiplication(star(one),zero),A)),
inference(resolve,[$cnf( $equal(star(star(one)),one) )],[refute_0_1382,refute_0_1410]) ).
cnf(refute_0_1412,plain,
( addition(one,addition(multiplication(star(one),zero),A)) != addition(one,A)
| addition(star(star(one)),addition(multiplication(star(one),zero),A)) != addition(one,addition(multiplication(star(one),zero),A))
| addition(star(star(one)),addition(multiplication(star(one),zero),A)) = addition(one,A) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(star(one)),addition(multiplication(star(one),zero),A)))),bind(Y,$fot(addition(one,addition(multiplication(star(one),zero),A)))),bind(Z,$fot(addition(one,A)))]]) ).
cnf(refute_0_1413,plain,
( addition(one,addition(multiplication(star(one),zero),A)) != addition(one,A)
| addition(star(star(one)),addition(multiplication(star(one),zero),A)) = addition(one,A) ),
inference(resolve,[$cnf( $equal(addition(star(star(one)),addition(multiplication(star(one),zero),A)),addition(one,addition(multiplication(star(one),zero),A))) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
addition(star(star(one)),addition(multiplication(star(one),zero),A)) = addition(one,A),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(one),zero),A)),addition(one,A)) )],[refute_0_1407,refute_0_1413]) ).
cnf(refute_0_1415,plain,
( addition(A,one) != addition(star(star(one)),addition(multiplication(star(one),zero),A))
| addition(star(star(one)),addition(multiplication(star(one),zero),A)) != addition(one,A)
| addition(A,one) = addition(one,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,one),addition(one,A)) ),[0],$fot(addition(star(star(one)),addition(multiplication(star(one),zero),A)))]]) ).
cnf(refute_0_1416,plain,
( addition(A,one) != addition(star(star(one)),addition(multiplication(star(one),zero),A))
| addition(A,one) = addition(one,A) ),
inference(resolve,[$cnf( $equal(addition(star(star(one)),addition(multiplication(star(one),zero),A)),addition(one,A)) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( addition(A,star(star(one))) != addition(star(star(one)),addition(multiplication(star(one),zero),A))
| addition(A,one) = addition(one,A) ),
inference(resolve,[$cnf( $equal(addition(A,one),addition(star(star(one)),addition(multiplication(star(one),zero),A))) )],[refute_0_1388,refute_0_1416]) ).
cnf(refute_0_1418,plain,
addition(A,one) = addition(one,A),
inference(resolve,[$cnf( $equal(addition(A,star(star(one))),addition(star(star(one)),addition(multiplication(star(one),zero),A))) )],[refute_0_1375,refute_0_1417]) ).
cnf(refute_0_1419,plain,
addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one) = addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))),
inference(subst,[],[refute_0_1418:[bind(A,$fot(multiplication(strong_iteration(X_345),strong_iteration(X_345))))]]) ).
cnf(refute_0_1420,plain,
ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) = addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one))),bind(C,$fot(multiplication(strong_iteration(X_345),strong_iteration(X_345))))]]) ).
cnf(refute_0_1421,plain,
( addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one) != addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345)))
| ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) != addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one)
| ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) = addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))))),bind(Y,$fot(addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one))),bind(Z,$fot(addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345)))))]]) ).
cnf(refute_0_1422,plain,
( addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one) != addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345)))
| ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) = addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))),addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one)) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) = addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))),
inference(resolve,[$cnf( $equal(addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345)))) )],[refute_0_1419,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) != addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345)))
| ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) != multiplication(strong_iteration(X_345),strong_iteration(X_345))
| addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))) = multiplication(strong_iteration(X_345),strong_iteration(X_345)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))),multiplication(strong_iteration(X_345),strong_iteration(X_345))) ),[0],$fot(addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))))]]) ).
cnf(refute_0_1425,plain,
( ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))) != multiplication(strong_iteration(X_345),strong_iteration(X_345))
| addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))) = multiplication(strong_iteration(X_345),strong_iteration(X_345)) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))),addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345)))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
addition(one,multiplication(strong_iteration(X_345),strong_iteration(X_345))) = multiplication(strong_iteration(X_345),strong_iteration(X_345)),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(multiplication(strong_iteration(X_345),strong_iteration(X_345)),one),multiplication(strong_iteration(X_345),strong_iteration(X_345))),multiplication(strong_iteration(X_345),strong_iteration(X_345))) )],[refute_0_1319,refute_0_1425]) ).
cnf(refute_0_1427,plain,
addition(one,multiplication(strong_iteration(X_728),strong_iteration(X_728))) = multiplication(strong_iteration(X_728),strong_iteration(X_728)),
inference(subst,[],[refute_0_1426:[bind(X_345,$fot(X_728))]]) ).
cnf(refute_0_1428,plain,
( addition(one,multiplication(strong_iteration(X_728),strong_iteration(X_728))) != multiplication(strong_iteration(X_728),strong_iteration(X_728))
| ifeq(leq(addition(one,multiplication(strong_iteration(X_728),strong_iteration(X_728))),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != true
| ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,multiplication(strong_iteration(X_728),strong_iteration(X_728))),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),true) ),[0,0,0],$fot(multiplication(strong_iteration(X_728),strong_iteration(X_728)))]]) ).
cnf(refute_0_1429,plain,
( ifeq(leq(addition(one,multiplication(strong_iteration(X_728),strong_iteration(X_728))),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != true
| ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = true ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(strong_iteration(X_728),strong_iteration(X_728))),multiplication(strong_iteration(X_728),strong_iteration(X_728))) )],[refute_0_1427,refute_0_1428]) ).
cnf(refute_0_1430,plain,
ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,multiplication(strong_iteration(X_728),strong_iteration(X_728))),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),true) )],[refute_0_1249,refute_0_1429]) ).
cnf(refute_0_1431,plain,
ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = leq(star(strong_iteration(X_728)),strong_iteration(X_728)),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(star(strong_iteration(X_728)),strong_iteration(X_728)))),bind(C,$fot(true))]]) ).
cnf(refute_0_1432,plain,
leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)) = true,
inference(subst,[],[refute_0_801:[bind(X_127,$fot(X_728))]]) ).
cnf(refute_0_1433,plain,
ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),
introduced(tautology,[refl,[$fot(ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true))]]) ).
cnf(refute_0_1434,plain,
( ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true)
| leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)) != true
| ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_1435,plain,
( leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)) != true
| ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true)) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),
inference(resolve,[$cnf( $equal(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true) )],[refute_0_1432,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true)
| ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != leq(star(strong_iteration(X_728)),strong_iteration(X_728))
| ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = leq(star(strong_iteration(X_728)),strong_iteration(X_728)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true))),bind(Y,$fot(ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true))),bind(Z,$fot(leq(star(strong_iteration(X_728)),strong_iteration(X_728))))]]) ).
cnf(refute_0_1438,plain,
( ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != leq(star(strong_iteration(X_728)),strong_iteration(X_728))
| ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = leq(star(strong_iteration(X_728)),strong_iteration(X_728)) ),
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true)) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) = leq(star(strong_iteration(X_728)),strong_iteration(X_728)),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),leq(star(strong_iteration(X_728)),strong_iteration(X_728))) )],[refute_0_1431,refute_0_1438]) ).
cnf(refute_0_1440,plain,
( ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != leq(star(strong_iteration(X_728)),strong_iteration(X_728))
| ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != true
| leq(star(strong_iteration(X_728)),strong_iteration(X_728)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),true) ),[0],$fot(leq(star(strong_iteration(X_728)),strong_iteration(X_728)))]]) ).
cnf(refute_0_1441,plain,
( ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true) != true
| leq(star(strong_iteration(X_728)),strong_iteration(X_728)) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),leq(star(strong_iteration(X_728)),strong_iteration(X_728))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
leq(star(strong_iteration(X_728)),strong_iteration(X_728)) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(strong_iteration(X_728),strong_iteration(X_728)),strong_iteration(X_728)),true,leq(star(strong_iteration(X_728)),strong_iteration(X_728)),true),true) )],[refute_0_1430,refute_0_1441]) ).
cnf(refute_0_1443,plain,
leq(star(strong_iteration(A)),strong_iteration(A)) = true,
inference(subst,[],[refute_0_1442:[bind(X_728,$fot(A))]]) ).
cnf(refute_0_1444,plain,
leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) = leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),
introduced(tautology,[refl,[$fot(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)))]]) ).
cnf(refute_0_1445,plain,
( addition(strong_iteration(A),star(strong_iteration(A))) != star(strong_iteration(A))
| leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) != leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A))
| leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) = leq(star(strong_iteration(A)),strong_iteration(A)) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A))) ),[1,0],$fot(star(strong_iteration(A)))]]) ).
cnf(refute_0_1446,plain,
( addition(strong_iteration(A),star(strong_iteration(A))) != star(strong_iteration(A))
| leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) = leq(star(strong_iteration(A)),strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A))) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) = leq(star(strong_iteration(A)),strong_iteration(A)),
inference(resolve,[$cnf( $equal(addition(strong_iteration(A),star(strong_iteration(A))),star(strong_iteration(A))) )],[refute_0_634,refute_0_1446]) ).
cnf(refute_0_1448,plain,
( leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) != leq(star(strong_iteration(A)),strong_iteration(A))
| leq(star(strong_iteration(A)),strong_iteration(A)) != true
| leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) = true ),
inference(subst,[],[refute_0_55:[bind(X,$fot(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)))),bind(Y,$fot(leq(star(strong_iteration(A)),strong_iteration(A)))),bind(Z,$fot(true))]]) ).
cnf(refute_0_1449,plain,
( leq(star(strong_iteration(A)),strong_iteration(A)) != true
| leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) = true ),
inference(resolve,[$cnf( $equal(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),leq(star(strong_iteration(A)),strong_iteration(A))) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) = true,
inference(resolve,[$cnf( $equal(leq(star(strong_iteration(A)),strong_iteration(A)),true) )],[refute_0_1443,refute_0_1449]) ).
cnf(refute_0_1451,plain,
ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),
introduced(tautology,[refl,[$fot(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)))]]) ).
cnf(refute_0_1452,plain,
( ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A))
| leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) != true
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A))) ),[1,0],$fot(true)]]) ).
cnf(refute_0_1453,plain,
( leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)) != true
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A))) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),
inference(resolve,[$cnf( $equal(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true) )],[refute_0_1450,refute_0_1453]) ).
cnf(refute_0_1455,plain,
( ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A))
| ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A))
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)))),bind(Y,$fot(ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)))),bind(Z,$fot(ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A))))]]) ).
cnf(refute_0_1456,plain,
( ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A))
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)),
inference(resolve,[$cnf( $equal(ifeq2(true,true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A))) )],[refute_0_1231,refute_0_1456]) ).
cnf(refute_0_1458,plain,
( ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A))
| ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)) != star(strong_iteration(A))
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = star(strong_iteration(A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)))),bind(Y,$fot(ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)))),bind(Z,$fot(star(strong_iteration(A))))]]) ).
cnf(refute_0_1459,plain,
( ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)) != star(strong_iteration(A))
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = star(strong_iteration(A)) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) = star(strong_iteration(A)),
inference(resolve,[$cnf( $equal(ifeq2(true,true,star(strong_iteration(A)),strong_iteration(A)),star(strong_iteration(A))) )],[refute_0_560,refute_0_1459]) ).
cnf(refute_0_1461,plain,
( ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != star(strong_iteration(A))
| ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != strong_iteration(A)
| star(strong_iteration(A)) = strong_iteration(A) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),strong_iteration(A)) ),[0],$fot(star(strong_iteration(A)))]]) ).
cnf(refute_0_1462,plain,
( ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)) != strong_iteration(A)
| star(strong_iteration(A)) = strong_iteration(A) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),star(strong_iteration(A))) )],[refute_0_1460,refute_0_1461]) ).
cnf(refute_0_1463,plain,
star(strong_iteration(A)) = strong_iteration(A),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(strong_iteration(A),star(strong_iteration(A))),strong_iteration(A)),true,multiplication(strong_iteration(A),addition(one,star(strong_iteration(A)))),strong_iteration(A)),strong_iteration(A)) )],[refute_0_559,refute_0_1462]) ).
cnf(refute_0_1464,plain,
star(strong_iteration(sK1_goals_X0)) = strong_iteration(sK1_goals_X0),
inference(subst,[],[refute_0_1463:[bind(A,$fot(sK1_goals_X0))]]) ).
cnf(refute_0_1465,plain,
( star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0)
| strong_iteration(sK1_goals_X0) != strong_iteration(sK1_goals_X0)
| star(strong_iteration(sK1_goals_X0)) = strong_iteration(sK1_goals_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(star(strong_iteration(sK1_goals_X0)),strong_iteration(sK1_goals_X0)) ),[0],$fot(strong_iteration(sK1_goals_X0))]]) ).
cnf(refute_0_1466,plain,
( strong_iteration(sK1_goals_X0) != strong_iteration(sK1_goals_X0)
| star(strong_iteration(sK1_goals_X0)) = strong_iteration(sK1_goals_X0) ),
inference(resolve,[$cnf( $equal(star(strong_iteration(sK1_goals_X0)),strong_iteration(sK1_goals_X0)) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
strong_iteration(sK1_goals_X0) != strong_iteration(sK1_goals_X0),
inference(resolve,[$cnf( $equal(star(strong_iteration(sK1_goals_X0)),strong_iteration(sK1_goals_X0)) )],[refute_0_1466,goals]) ).
cnf(refute_0_1468,plain,
strong_iteration(sK1_goals_X0) = strong_iteration(sK1_goals_X0),
introduced(tautology,[refl,[$fot(strong_iteration(sK1_goals_X0))]]) ).
cnf(refute_0_1469,plain,
$false,
inference(resolve,[$cnf( $equal(strong_iteration(sK1_goals_X0),strong_iteration(sK1_goals_X0)) )],[refute_0_1468,refute_0_1467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE145-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 11:14:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 33.27/33.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.27/33.45
% 33.27/33.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 33.41/33.61
%------------------------------------------------------------------------------