TSTP Solution File: KLE044-10 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE044-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 02:14:53 EDT 2022
% Result : Unsatisfiable 71.11s 71.31s
% Output : CNFRefutation 71.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 87
% Number of leaves : 211
% Syntax : Number of clauses : 846 ( 445 unt; 0 nHn; 427 RR)
% Number of literals : 1428 (1427 equ; 585 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 : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 1371 ( 16 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(additive_idempotence,axiom,
addition(A,A) = A ).
cnf(multiplicative_associativity,axiom,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
cnf(multiplicative_right_identity,axiom,
multiplication(A,one) = A ).
cnf(multiplicative_left_identity,axiom,
multiplication(one,A) = A ).
cnf(right_distributivity,axiom,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
cnf(left_distributivity,axiom,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
cnf(right_annihilation,axiom,
multiplication(A,zero) = zero ).
cnf(left_annihilation,axiom,
multiplication(zero,A) = zero ).
cnf(order_1,axiom,
ifeq2(leq(A,B),true,addition(A,B),B) = B ).
cnf(order,axiom,
ifeq3(addition(A,B),B,leq(A,B),true) = true ).
cnf(star_unfold_right,axiom,
leq(addition(one,multiplication(A,star(A))),star(A)) = true ).
cnf(star_unfold_left,axiom,
leq(addition(one,multiplication(star(A),A)),star(A)) = true ).
cnf(star_induction_left,axiom,
ifeq(leq(addition(multiplication(A,B),C),B),true,leq(multiplication(star(A),C),B),true) = true ).
cnf(star_induction_right,axiom,
ifeq(leq(addition(multiplication(A,B),C),A),true,leq(multiplication(C,star(B)),A),true) = true ).
cnf(goals,negated_conjecture,
tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,true) ).
cnf(refute_0_0,plain,
ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(multiplication(one,star(X_97)),X_96),true) = true,
inference(subst,[],[star_induction_right:[bind(A,$fot(X_96)),bind(B,$fot(X_97)),bind(C,$fot(one))]]) ).
cnf(refute_0_1,plain,
multiplication(one,star(X_97)) = star(X_97),
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(star(X_97)))]]) ).
cnf(refute_0_2,plain,
( ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(multiplication(one,star(X_97)),X_96),true) != true
| multiplication(one,star(X_97)) != star(X_97)
| ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(multiplication(one,star(X_97)),X_96),true),true) ),[0,2,0],$fot(star(X_97))]]) ).
cnf(refute_0_3,plain,
( ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(multiplication(one,star(X_97)),X_96),true) != true
| ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(one,star(X_97)),star(X_97)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(multiplication(one,star(X_97)),X_96),true),true) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_9,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[additive_commutativity,refute_0_8]) ).
cnf(refute_0_10,plain,
addition(multiplication(X_96,X_97),one) = addition(one,multiplication(X_96,X_97)),
inference(subst,[],[refute_0_9:[bind(A,$fot(one)),bind(B,$fot(multiplication(X_96,X_97)))]]) ).
cnf(refute_0_11,plain,
leq(addition(multiplication(X_96,X_97),one),X_96) = leq(addition(multiplication(X_96,X_97),one),X_96),
introduced(tautology,[refl,[$fot(leq(addition(multiplication(X_96,X_97),one),X_96))]]) ).
cnf(refute_0_12,plain,
( addition(multiplication(X_96,X_97),one) != addition(one,multiplication(X_96,X_97))
| leq(addition(multiplication(X_96,X_97),one),X_96) != leq(addition(multiplication(X_96,X_97),one),X_96)
| leq(addition(multiplication(X_96,X_97),one),X_96) = leq(addition(one,multiplication(X_96,X_97)),X_96) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(multiplication(X_96,X_97),one),X_96),leq(addition(multiplication(X_96,X_97),one),X_96)) ),[1,0],$fot(addition(one,multiplication(X_96,X_97)))]]) ).
cnf(refute_0_13,plain,
( addition(multiplication(X_96,X_97),one) != addition(one,multiplication(X_96,X_97))
| leq(addition(multiplication(X_96,X_97),one),X_96) = leq(addition(one,multiplication(X_96,X_97)),X_96) ),
inference(resolve,[$cnf( $equal(leq(addition(multiplication(X_96,X_97),one),X_96),leq(addition(multiplication(X_96,X_97),one),X_96)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
leq(addition(multiplication(X_96,X_97),one),X_96) = leq(addition(one,multiplication(X_96,X_97)),X_96),
inference(resolve,[$cnf( $equal(addition(multiplication(X_96,X_97),one),addition(one,multiplication(X_96,X_97))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) = ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true),
introduced(tautology,[refl,[$fot(ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true))]]) ).
cnf(refute_0_16,plain,
( ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) != ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true)
| leq(addition(multiplication(X_96,X_97),one),X_96) != leq(addition(one,multiplication(X_96,X_97)),X_96)
| ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) = ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true),ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true)) ),[1,0],$fot(leq(addition(one,multiplication(X_96,X_97)),X_96))]]) ).
cnf(refute_0_17,plain,
( leq(addition(multiplication(X_96,X_97),one),X_96) != leq(addition(one,multiplication(X_96,X_97)),X_96)
| ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) = ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true),ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) = ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true),
inference(resolve,[$cnf( $equal(leq(addition(multiplication(X_96,X_97),one),X_96),leq(addition(one,multiplication(X_96,X_97)),X_96)) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
( ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) != ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true)
| ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) != true
| ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true),true) ),[0],$fot(ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true))]]) ).
cnf(refute_0_20,plain,
( ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true) != true
| ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true),ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
ifeq(leq(addition(one,multiplication(X_96,X_97)),X_96),true,leq(star(X_97),X_96),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),one),X_96),true,leq(star(X_97),X_96),true),true) )],[refute_0_4,refute_0_20]) ).
cnf(refute_0_22,plain,
ifeq(leq(addition(one,multiplication(star(X_22),addition(one,X_22))),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = true,
inference(subst,[],[refute_0_21:[bind(X_96,$fot(star(X_22))),bind(X_97,$fot(addition(one,X_22)))]]) ).
cnf(refute_0_23,plain,
addition(addition(X_47,X_48),addition(X_47,X_48)) = addition(addition(addition(X_47,X_48),X_47),X_48),
inference(subst,[],[additive_associativity:[bind(A,$fot(addition(X_47,X_48))),bind(B,$fot(X_47)),bind(C,$fot(X_48))]]) ).
cnf(refute_0_24,plain,
addition(addition(X_47,X_48),addition(X_47,X_48)) = addition(X_47,X_48),
inference(subst,[],[additive_idempotence:[bind(A,$fot(addition(X_47,X_48)))]]) ).
cnf(refute_0_25,plain,
( addition(addition(X_47,X_48),addition(X_47,X_48)) != addition(X_47,X_48)
| addition(addition(X_47,X_48),addition(X_47,X_48)) != addition(addition(addition(X_47,X_48),X_47),X_48)
| addition(X_47,X_48) = addition(addition(addition(X_47,X_48),X_47),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_47,X_48),addition(X_47,X_48)),addition(addition(addition(X_47,X_48),X_47),X_48)) ),[0],$fot(addition(X_47,X_48))]]) ).
cnf(refute_0_26,plain,
( addition(addition(X_47,X_48),addition(X_47,X_48)) != addition(addition(addition(X_47,X_48),X_47),X_48)
| addition(X_47,X_48) = addition(addition(addition(X_47,X_48),X_47),X_48) ),
inference(resolve,[$cnf( $equal(addition(addition(X_47,X_48),addition(X_47,X_48)),addition(X_47,X_48)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
addition(X_47,X_48) = addition(addition(addition(X_47,X_48),X_47),X_48),
inference(resolve,[$cnf( $equal(addition(addition(X_47,X_48),addition(X_47,X_48)),addition(addition(addition(X_47,X_48),X_47),X_48)) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
addition(X_46,addition(X_47,X_48)) = addition(addition(X_46,X_47),X_48),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_46)),bind(B,$fot(X_47)),bind(C,$fot(X_48))]]) ).
cnf(refute_0_29,plain,
addition(X_48,X_47) = addition(X_47,X_48),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_48)),bind(B,$fot(X_47))]]) ).
cnf(refute_0_30,plain,
( addition(X_48,X_47) != addition(X_47,X_48)
| addition(X_47,X_48) = addition(X_48,X_47) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_48,X_47))),bind(Y,$fot(addition(X_47,X_48)))]]) ).
cnf(refute_0_31,plain,
addition(X_47,X_48) = addition(X_48,X_47),
inference(resolve,[$cnf( $equal(addition(X_48,X_47),addition(X_47,X_48)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( addition(X_46,addition(X_47,X_48)) != addition(addition(X_46,X_47),X_48)
| addition(X_47,X_48) != addition(X_48,X_47)
| addition(X_46,addition(X_48,X_47)) = addition(addition(X_46,X_47),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_46,addition(X_47,X_48)),addition(addition(X_46,X_47),X_48)) ),[0,1],$fot(addition(X_48,X_47))]]) ).
cnf(refute_0_33,plain,
( addition(X_46,addition(X_47,X_48)) != addition(addition(X_46,X_47),X_48)
| addition(X_46,addition(X_48,X_47)) = addition(addition(X_46,X_47),X_48) ),
inference(resolve,[$cnf( $equal(addition(X_47,X_48),addition(X_48,X_47)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
addition(X_46,addition(X_48,X_47)) = addition(addition(X_46,X_47),X_48),
inference(resolve,[$cnf( $equal(addition(X_46,addition(X_47,X_48)),addition(addition(X_46,X_47),X_48)) )],[refute_0_28,refute_0_33]) ).
cnf(refute_0_35,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_36,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[additive_associativity,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(addition(X_46,X_47),X_48) = addition(X_46,addition(X_47,X_48)),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_46)),bind(B,$fot(X_47)),bind(C,$fot(X_48))]]) ).
cnf(refute_0_38,plain,
( addition(X_46,addition(X_48,X_47)) != addition(addition(X_46,X_47),X_48)
| addition(addition(X_46,X_47),X_48) != addition(X_46,addition(X_47,X_48))
| addition(X_46,addition(X_48,X_47)) = addition(X_46,addition(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_46,addition(X_48,X_47)),addition(X_46,addition(X_47,X_48))) ),[0],$fot(addition(addition(X_46,X_47),X_48))]]) ).
cnf(refute_0_39,plain,
( addition(X_46,addition(X_48,X_47)) != addition(addition(X_46,X_47),X_48)
| addition(X_46,addition(X_48,X_47)) = addition(X_46,addition(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_46,X_47),X_48),addition(X_46,addition(X_47,X_48))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
addition(X_46,addition(X_48,X_47)) = addition(X_46,addition(X_47,X_48)),
inference(resolve,[$cnf( $equal(addition(X_46,addition(X_48,X_47)),addition(addition(X_46,X_47),X_48)) )],[refute_0_34,refute_0_39]) ).
cnf(refute_0_41,plain,
( addition(X_46,addition(X_48,X_47)) != addition(X_46,addition(X_47,X_48))
| addition(X_46,addition(X_47,X_48)) = addition(X_46,addition(X_48,X_47)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_46,addition(X_48,X_47)))),bind(Y,$fot(addition(X_46,addition(X_47,X_48))))]]) ).
cnf(refute_0_42,plain,
addition(X_46,addition(X_47,X_48)) = addition(X_46,addition(X_48,X_47)),
inference(resolve,[$cnf( $equal(addition(X_46,addition(X_48,X_47)),addition(X_46,addition(X_47,X_48))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
addition(X_48,addition(addition(X_47,X_48),X_47)) = addition(X_48,addition(X_47,addition(X_47,X_48))),
inference(subst,[],[refute_0_42:[bind(X_46,$fot(X_48)),bind(X_47,$fot(addition(X_47,X_48))),bind(X_48,$fot(X_47))]]) ).
cnf(refute_0_44,plain,
addition(A,addition(X_46,X_47)) = addition(addition(X_46,X_47),A),
inference(subst,[],[additive_commutativity:[bind(B,$fot(addition(X_46,X_47)))]]) ).
cnf(refute_0_45,plain,
addition(X_46,addition(X_47,A)) = addition(addition(X_46,X_47),A),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_46)),bind(B,$fot(X_47)),bind(C,$fot(A))]]) ).
cnf(refute_0_46,plain,
( addition(X_46,addition(X_47,A)) != addition(addition(X_46,X_47),A)
| addition(addition(X_46,X_47),A) = addition(X_46,addition(X_47,A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_46,addition(X_47,A)))),bind(Y,$fot(addition(addition(X_46,X_47),A)))]]) ).
cnf(refute_0_47,plain,
addition(addition(X_46,X_47),A) = addition(X_46,addition(X_47,A)),
inference(resolve,[$cnf( $equal(addition(X_46,addition(X_47,A)),addition(addition(X_46,X_47),A)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( addition(A,addition(X_46,X_47)) != addition(addition(X_46,X_47),A)
| addition(addition(X_46,X_47),A) != addition(X_46,addition(X_47,A))
| addition(A,addition(X_46,X_47)) = addition(X_46,addition(X_47,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_46,X_47)),addition(X_46,addition(X_47,A))) ),[0],$fot(addition(addition(X_46,X_47),A))]]) ).
cnf(refute_0_49,plain,
( addition(A,addition(X_46,X_47)) != addition(addition(X_46,X_47),A)
| addition(A,addition(X_46,X_47)) = addition(X_46,addition(X_47,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_46,X_47),A),addition(X_46,addition(X_47,A))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
addition(A,addition(X_46,X_47)) = addition(X_46,addition(X_47,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_46,X_47)),addition(addition(X_46,X_47),A)) )],[refute_0_44,refute_0_49]) ).
cnf(refute_0_51,plain,
( addition(A,addition(X_46,X_47)) != addition(X_46,addition(X_47,A))
| addition(X_46,addition(X_47,A)) = addition(A,addition(X_46,X_47)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(A,addition(X_46,X_47)))),bind(Y,$fot(addition(X_46,addition(X_47,A))))]]) ).
cnf(refute_0_52,plain,
addition(X_46,addition(X_47,A)) = addition(A,addition(X_46,X_47)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_46,X_47)),addition(X_46,addition(X_47,A))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
addition(addition(X_47,X_48),addition(X_47,X_48)) = addition(X_48,addition(addition(X_47,X_48),X_47)),
inference(subst,[],[refute_0_52:[bind(A,$fot(X_48)),bind(X_46,$fot(addition(X_47,X_48)))]]) ).
cnf(refute_0_54,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_55,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_7,refute_0_54]) ).
cnf(refute_0_56,plain,
( addition(X_48,addition(addition(X_47,X_48),X_47)) != addition(X_48,addition(X_47,addition(X_47,X_48)))
| addition(addition(X_47,X_48),addition(X_47,X_48)) != addition(X_48,addition(addition(X_47,X_48),X_47))
| addition(addition(X_47,X_48),addition(X_47,X_48)) = addition(X_48,addition(X_47,addition(X_47,X_48))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(X_47,X_48),addition(X_47,X_48)))),bind(Y,$fot(addition(X_48,addition(addition(X_47,X_48),X_47)))),bind(Z,$fot(addition(X_48,addition(X_47,addition(X_47,X_48)))))]]) ).
cnf(refute_0_57,plain,
( addition(X_48,addition(addition(X_47,X_48),X_47)) != addition(X_48,addition(X_47,addition(X_47,X_48)))
| addition(addition(X_47,X_48),addition(X_47,X_48)) = addition(X_48,addition(X_47,addition(X_47,X_48))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_47,X_48),addition(X_47,X_48)),addition(X_48,addition(addition(X_47,X_48),X_47))) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
addition(addition(X_47,X_48),addition(X_47,X_48)) = addition(X_48,addition(X_47,addition(X_47,X_48))),
inference(resolve,[$cnf( $equal(addition(X_48,addition(addition(X_47,X_48),X_47)),addition(X_48,addition(X_47,addition(X_47,X_48)))) )],[refute_0_43,refute_0_57]) ).
cnf(refute_0_59,plain,
addition(addition(addition(X_47,X_48),X_47),X_48) = addition(addition(X_47,X_48),addition(X_47,X_48)),
inference(subst,[],[refute_0_36:[bind(A,$fot(addition(X_47,X_48))),bind(B,$fot(X_47)),bind(C,$fot(X_48))]]) ).
cnf(refute_0_60,plain,
( addition(addition(X_47,X_48),addition(X_47,X_48)) != addition(X_48,addition(X_47,addition(X_47,X_48)))
| addition(addition(addition(X_47,X_48),X_47),X_48) != addition(addition(X_47,X_48),addition(X_47,X_48))
| addition(addition(addition(X_47,X_48),X_47),X_48) = addition(X_48,addition(X_47,addition(X_47,X_48))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(addition(X_47,X_48),X_47),X_48))),bind(Y,$fot(addition(addition(X_47,X_48),addition(X_47,X_48)))),bind(Z,$fot(addition(X_48,addition(X_47,addition(X_47,X_48)))))]]) ).
cnf(refute_0_61,plain,
( addition(addition(X_47,X_48),addition(X_47,X_48)) != addition(X_48,addition(X_47,addition(X_47,X_48)))
| addition(addition(addition(X_47,X_48),X_47),X_48) = addition(X_48,addition(X_47,addition(X_47,X_48))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_47,X_48),X_47),X_48),addition(addition(X_47,X_48),addition(X_47,X_48))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
addition(addition(addition(X_47,X_48),X_47),X_48) = addition(X_48,addition(X_47,addition(X_47,X_48))),
inference(resolve,[$cnf( $equal(addition(addition(X_47,X_48),addition(X_47,X_48)),addition(X_48,addition(X_47,addition(X_47,X_48)))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
( addition(X_47,X_48) != addition(addition(addition(X_47,X_48),X_47),X_48)
| addition(addition(addition(X_47,X_48),X_47),X_48) != addition(X_48,addition(X_47,addition(X_47,X_48)))
| addition(X_47,X_48) = addition(X_48,addition(X_47,addition(X_47,X_48))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_47,X_48),addition(X_48,addition(X_47,addition(X_47,X_48)))) ),[0],$fot(addition(addition(addition(X_47,X_48),X_47),X_48))]]) ).
cnf(refute_0_64,plain,
( addition(X_47,X_48) != addition(addition(addition(X_47,X_48),X_47),X_48)
| addition(X_47,X_48) = addition(X_48,addition(X_47,addition(X_47,X_48))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_47,X_48),X_47),X_48),addition(X_48,addition(X_47,addition(X_47,X_48)))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
addition(X_47,X_48) = addition(X_48,addition(X_47,addition(X_47,X_48))),
inference(resolve,[$cnf( $equal(addition(X_47,X_48),addition(addition(addition(X_47,X_48),X_47),X_48)) )],[refute_0_27,refute_0_64]) ).
cnf(refute_0_66,plain,
addition(X_47,addition(X_47,X_48)) = addition(addition(X_47,X_47),X_48),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_47)),bind(B,$fot(X_47)),bind(C,$fot(X_48))]]) ).
cnf(refute_0_67,plain,
addition(X_47,X_47) = X_47,
inference(subst,[],[additive_idempotence:[bind(A,$fot(X_47))]]) ).
cnf(refute_0_68,plain,
( addition(X_47,X_47) != X_47
| addition(X_47,addition(X_47,X_48)) != addition(addition(X_47,X_47),X_48)
| addition(X_47,addition(X_47,X_48)) = addition(X_47,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_47,addition(X_47,X_48)),addition(addition(X_47,X_47),X_48)) ),[1,0],$fot(X_47)]]) ).
cnf(refute_0_69,plain,
( addition(X_47,addition(X_47,X_48)) != addition(addition(X_47,X_47),X_48)
| addition(X_47,addition(X_47,X_48)) = addition(X_47,X_48) ),
inference(resolve,[$cnf( $equal(addition(X_47,X_47),X_47) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
addition(X_47,addition(X_47,X_48)) = addition(X_47,X_48),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_47,X_48)),addition(addition(X_47,X_47),X_48)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
addition(X_48,addition(X_47,addition(X_47,X_48))) = addition(X_48,addition(X_47,addition(X_47,X_48))),
introduced(tautology,[refl,[$fot(addition(X_48,addition(X_47,addition(X_47,X_48))))]]) ).
cnf(refute_0_72,plain,
( addition(X_47,addition(X_47,X_48)) != addition(X_47,X_48)
| addition(X_48,addition(X_47,addition(X_47,X_48))) != addition(X_48,addition(X_47,addition(X_47,X_48)))
| addition(X_48,addition(X_47,addition(X_47,X_48))) = addition(X_48,addition(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_48,addition(X_47,addition(X_47,X_48))),addition(X_48,addition(X_47,addition(X_47,X_48)))) ),[1,1],$fot(addition(X_47,X_48))]]) ).
cnf(refute_0_73,plain,
( addition(X_47,addition(X_47,X_48)) != addition(X_47,X_48)
| addition(X_48,addition(X_47,addition(X_47,X_48))) = addition(X_48,addition(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(addition(X_48,addition(X_47,addition(X_47,X_48))),addition(X_48,addition(X_47,addition(X_47,X_48)))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
addition(X_48,addition(X_47,addition(X_47,X_48))) = addition(X_48,addition(X_47,X_48)),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_47,X_48)),addition(X_47,X_48)) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( addition(X_47,X_48) != addition(X_48,addition(X_47,addition(X_47,X_48)))
| addition(X_48,addition(X_47,addition(X_47,X_48))) != addition(X_48,addition(X_47,X_48))
| addition(X_47,X_48) = addition(X_48,addition(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_47,X_48),addition(X_48,addition(X_47,X_48))) ),[0],$fot(addition(X_48,addition(X_47,addition(X_47,X_48))))]]) ).
cnf(refute_0_76,plain,
( addition(X_47,X_48) != addition(X_48,addition(X_47,addition(X_47,X_48)))
| addition(X_47,X_48) = addition(X_48,addition(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(addition(X_48,addition(X_47,addition(X_47,X_48))),addition(X_48,addition(X_47,X_48))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
addition(X_47,X_48) = addition(X_48,addition(X_47,X_48)),
inference(resolve,[$cnf( $equal(addition(X_47,X_48),addition(X_48,addition(X_47,addition(X_47,X_48)))) )],[refute_0_65,refute_0_76]) ).
cnf(refute_0_78,plain,
addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = addition(addition(star(X_22),multiplication(star(X_22),X_22)),addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))),
inference(subst,[],[refute_0_77:[bind(X_47,$fot(one)),bind(X_48,$fot(addition(star(X_22),multiplication(star(X_22),X_22))))]]) ).
cnf(refute_0_79,plain,
ifeq2(leq(addition(one,multiplication(star(X_22),X_22)),star(X_22)),true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = star(X_22),
inference(subst,[],[order_1:[bind(A,$fot(addition(one,multiplication(star(X_22),X_22)))),bind(B,$fot(star(X_22)))]]) ).
cnf(refute_0_80,plain,
leq(addition(one,multiplication(star(X_22),X_22)),star(X_22)) = true,
inference(subst,[],[star_unfold_left:[bind(A,$fot(X_22))]]) ).
cnf(refute_0_81,plain,
( ifeq2(leq(addition(one,multiplication(star(X_22),X_22)),star(X_22)),true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) != star(X_22)
| leq(addition(one,multiplication(star(X_22),X_22)),star(X_22)) != true
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = star(X_22) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(one,multiplication(star(X_22),X_22)),star(X_22)),true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)),star(X_22)) ),[0,0],$fot(true)]]) ).
cnf(refute_0_82,plain,
( ifeq2(leq(addition(one,multiplication(star(X_22),X_22)),star(X_22)),true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) != star(X_22)
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = star(X_22) ),
inference(resolve,[$cnf( $equal(leq(addition(one,multiplication(star(X_22),X_22)),star(X_22)),true) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = star(X_22),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(one,multiplication(star(X_22),X_22)),star(X_22)),true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)),star(X_22)) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(multiplication(star(X_22),X_22),star(X_22)) = addition(star(X_22),multiplication(star(X_22),X_22)),
inference(subst,[],[refute_0_9:[bind(A,$fot(star(X_22))),bind(B,$fot(multiplication(star(X_22),X_22)))]]) ).
cnf(refute_0_85,plain,
addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) = addition(one,addition(multiplication(star(X_22),X_22),star(X_22))),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(star(X_22),X_22),star(X_22))))]]) ).
cnf(refute_0_86,plain,
( addition(multiplication(star(X_22),X_22),star(X_22)) != addition(star(X_22),multiplication(star(X_22),X_22))
| addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) != addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))
| addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) = addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(star(X_22),X_22),star(X_22))),addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))) ),[1,1],$fot(addition(star(X_22),multiplication(star(X_22),X_22)))]]) ).
cnf(refute_0_87,plain,
( addition(multiplication(star(X_22),X_22),star(X_22)) != addition(star(X_22),multiplication(star(X_22),X_22))
| addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) = addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(X_22),X_22),star(X_22))),addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) = addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),
inference(resolve,[$cnf( $equal(addition(multiplication(star(X_22),X_22),star(X_22)),addition(star(X_22),multiplication(star(X_22),X_22))) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)) = addition(one,addition(multiplication(star(X_22),X_22),star(X_22))),
inference(subst,[],[refute_0_36:[bind(A,$fot(one)),bind(B,$fot(multiplication(star(X_22),X_22))),bind(C,$fot(star(X_22)))]]) ).
cnf(refute_0_90,plain,
ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)))),bind(C,$fot(star(X_22)))]]) ).
cnf(refute_0_91,plain,
( addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)) != addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) != addition(addition(one,multiplication(star(X_22),X_22)),star(X_22))
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)))),bind(Y,$fot(addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)))),bind(Z,$fot(addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))))]]) ).
cnf(refute_0_92,plain,
( addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)) != addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)),addition(addition(one,multiplication(star(X_22),X_22)),star(X_22))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = addition(one,addition(multiplication(star(X_22),X_22),star(X_22))),
inference(resolve,[$cnf( $equal(addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
( addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) != addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) != addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)))),bind(Y,$fot(addition(one,addition(multiplication(star(X_22),X_22),star(X_22))))),bind(Z,$fot(addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))))]]) ).
cnf(refute_0_95,plain,
( addition(one,addition(multiplication(star(X_22),X_22),star(X_22))) != addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)),addition(one,addition(multiplication(star(X_22),X_22),star(X_22)))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) = addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(X_22),X_22),star(X_22))),addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))) )],[refute_0_88,refute_0_95]) ).
cnf(refute_0_97,plain,
( ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) != addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))
| ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) != star(X_22)
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = star(X_22) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)),star(X_22)) ),[0],$fot(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))))]]) ).
cnf(refute_0_98,plain,
( ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)) != star(X_22)
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = star(X_22) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)),addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = star(X_22),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(star(X_22),X_22)),star(X_22)),star(X_22)),star(X_22)) )],[refute_0_83,refute_0_98]) ).
cnf(refute_0_100,plain,
( addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != addition(addition(star(X_22),multiplication(star(X_22),X_22)),addition(one,addition(star(X_22),multiplication(star(X_22),X_22))))
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != star(X_22)
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),addition(addition(star(X_22),multiplication(star(X_22),X_22)),addition(one,addition(star(X_22),multiplication(star(X_22),X_22))))) ),[1,1],$fot(star(X_22))]]) ).
cnf(refute_0_101,plain,
( addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != addition(addition(star(X_22),multiplication(star(X_22),X_22)),addition(one,addition(star(X_22),multiplication(star(X_22),X_22))))
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),star(X_22)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),addition(addition(star(X_22),multiplication(star(X_22),X_22)),addition(one,addition(star(X_22),multiplication(star(X_22),X_22))))) )],[refute_0_78,refute_0_101]) ).
cnf(refute_0_103,plain,
( addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != star(X_22)
| star(X_22) = addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))) ),[0],$fot(star(X_22))]]) ).
cnf(refute_0_104,plain,
( addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))
| star(X_22) = addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),star(X_22)) )],[refute_0_99,refute_0_103]) ).
cnf(refute_0_105,plain,
addition(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))) = addition(star(X_22),multiplication(star(X_22),X_22)),
inference(subst,[],[refute_0_70:[bind(X_47,$fot(star(X_22))),bind(X_48,$fot(multiplication(star(X_22),X_22)))]]) ).
cnf(refute_0_106,plain,
addition(A,addition(B,addition(X_57,B))) = addition(addition(A,B),addition(X_57,B)),
inference(subst,[],[additive_associativity:[bind(C,$fot(addition(X_57,B)))]]) ).
cnf(refute_0_107,plain,
addition(X_57,B) = addition(B,addition(X_57,B)),
inference(subst,[],[refute_0_77:[bind(X_47,$fot(X_57)),bind(X_48,$fot(B))]]) ).
cnf(refute_0_108,plain,
( addition(X_57,B) != addition(B,addition(X_57,B))
| addition(B,addition(X_57,B)) = addition(X_57,B) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_57,B))),bind(Y,$fot(addition(B,addition(X_57,B))))]]) ).
cnf(refute_0_109,plain,
addition(B,addition(X_57,B)) = addition(X_57,B),
inference(resolve,[$cnf( $equal(addition(X_57,B),addition(B,addition(X_57,B))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( addition(A,addition(B,addition(X_57,B))) != addition(addition(A,B),addition(X_57,B))
| addition(B,addition(X_57,B)) != addition(X_57,B)
| addition(A,addition(X_57,B)) = addition(addition(A,B),addition(X_57,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,addition(X_57,B))),addition(addition(A,B),addition(X_57,B))) ),[0,1],$fot(addition(X_57,B))]]) ).
cnf(refute_0_111,plain,
( addition(A,addition(B,addition(X_57,B))) != addition(addition(A,B),addition(X_57,B))
| addition(A,addition(X_57,B)) = addition(addition(A,B),addition(X_57,B)) ),
inference(resolve,[$cnf( $equal(addition(B,addition(X_57,B)),addition(X_57,B)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
addition(A,addition(X_57,B)) = addition(addition(A,B),addition(X_57,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,addition(X_57,B))),addition(addition(A,B),addition(X_57,B))) )],[refute_0_106,refute_0_111]) ).
cnf(refute_0_113,plain,
addition(A,addition(addition(X_57,A),C)) = addition(addition(A,addition(X_57,A)),C),
inference(subst,[],[additive_associativity:[bind(B,$fot(addition(X_57,A)))]]) ).
cnf(refute_0_114,plain,
addition(X_57,A) = addition(A,addition(X_57,A)),
inference(subst,[],[refute_0_77:[bind(X_47,$fot(X_57)),bind(X_48,$fot(A))]]) ).
cnf(refute_0_115,plain,
( addition(X_57,A) != addition(A,addition(X_57,A))
| addition(A,addition(X_57,A)) = addition(X_57,A) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_57,A))),bind(Y,$fot(addition(A,addition(X_57,A))))]]) ).
cnf(refute_0_116,plain,
addition(A,addition(X_57,A)) = addition(X_57,A),
inference(resolve,[$cnf( $equal(addition(X_57,A),addition(A,addition(X_57,A))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
( addition(A,addition(X_57,A)) != addition(X_57,A)
| addition(A,addition(addition(X_57,A),C)) != addition(addition(A,addition(X_57,A)),C)
| addition(A,addition(addition(X_57,A),C)) = addition(addition(X_57,A),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(addition(X_57,A),C)),addition(addition(A,addition(X_57,A)),C)) ),[1,0],$fot(addition(X_57,A))]]) ).
cnf(refute_0_118,plain,
( addition(A,addition(addition(X_57,A),C)) != addition(addition(A,addition(X_57,A)),C)
| addition(A,addition(addition(X_57,A),C)) = addition(addition(X_57,A),C) ),
inference(resolve,[$cnf( $equal(addition(A,addition(X_57,A)),addition(X_57,A)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
addition(A,addition(addition(X_57,A),C)) = addition(addition(X_57,A),C),
inference(resolve,[$cnf( $equal(addition(A,addition(addition(X_57,A),C)),addition(addition(A,addition(X_57,A)),C)) )],[refute_0_113,refute_0_118]) ).
cnf(refute_0_120,plain,
addition(addition(X_57,A),C) = addition(X_57,addition(A,C)),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_57)),bind(B,$fot(A))]]) ).
cnf(refute_0_121,plain,
addition(A,addition(addition(X_57,A),C)) = addition(A,addition(addition(X_57,A),C)),
introduced(tautology,[refl,[$fot(addition(A,addition(addition(X_57,A),C)))]]) ).
cnf(refute_0_122,plain,
( addition(A,addition(addition(X_57,A),C)) != addition(A,addition(addition(X_57,A),C))
| addition(addition(X_57,A),C) != addition(X_57,addition(A,C))
| addition(A,addition(addition(X_57,A),C)) = addition(A,addition(X_57,addition(A,C))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(addition(X_57,A),C)),addition(A,addition(addition(X_57,A),C))) ),[1,1],$fot(addition(X_57,addition(A,C)))]]) ).
cnf(refute_0_123,plain,
( addition(addition(X_57,A),C) != addition(X_57,addition(A,C))
| addition(A,addition(addition(X_57,A),C)) = addition(A,addition(X_57,addition(A,C))) ),
inference(resolve,[$cnf( $equal(addition(A,addition(addition(X_57,A),C)),addition(A,addition(addition(X_57,A),C))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
addition(A,addition(addition(X_57,A),C)) = addition(A,addition(X_57,addition(A,C))),
inference(resolve,[$cnf( $equal(addition(addition(X_57,A),C),addition(X_57,addition(A,C))) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
( addition(A,addition(addition(X_57,A),C)) != addition(A,addition(X_57,addition(A,C)))
| addition(A,addition(addition(X_57,A),C)) != addition(addition(X_57,A),C)
| addition(A,addition(X_57,addition(A,C))) = addition(addition(X_57,A),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(addition(X_57,A),C)),addition(addition(X_57,A),C)) ),[0],$fot(addition(A,addition(X_57,addition(A,C))))]]) ).
cnf(refute_0_126,plain,
( addition(A,addition(addition(X_57,A),C)) != addition(addition(X_57,A),C)
| addition(A,addition(X_57,addition(A,C))) = addition(addition(X_57,A),C) ),
inference(resolve,[$cnf( $equal(addition(A,addition(addition(X_57,A),C)),addition(A,addition(X_57,addition(A,C)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( addition(A,addition(X_57,addition(A,C))) != addition(addition(X_57,A),C)
| addition(addition(X_57,A),C) != addition(X_57,addition(A,C))
| addition(A,addition(X_57,addition(A,C))) = addition(X_57,addition(A,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_57,addition(A,C))),addition(X_57,addition(A,C))) ),[0],$fot(addition(addition(X_57,A),C))]]) ).
cnf(refute_0_128,plain,
( addition(A,addition(X_57,addition(A,C))) != addition(addition(X_57,A),C)
| addition(A,addition(X_57,addition(A,C))) = addition(X_57,addition(A,C)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_57,A),C),addition(X_57,addition(A,C))) )],[refute_0_120,refute_0_127]) ).
cnf(refute_0_129,plain,
( addition(A,addition(addition(X_57,A),C)) != addition(addition(X_57,A),C)
| addition(A,addition(X_57,addition(A,C))) = addition(X_57,addition(A,C)) ),
inference(resolve,[$cnf( $equal(addition(A,addition(X_57,addition(A,C))),addition(addition(X_57,A),C)) )],[refute_0_126,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(A,addition(X_57,addition(A,C))) = addition(X_57,addition(A,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(addition(X_57,A),C)),addition(addition(X_57,A),C)) )],[refute_0_119,refute_0_129]) ).
cnf(refute_0_131,plain,
addition(B,addition(A,addition(B,X_57))) = addition(A,addition(B,X_57)),
inference(subst,[],[refute_0_130:[bind(A,$fot(B)),bind(C,$fot(X_57)),bind(X_57,$fot(A))]]) ).
cnf(refute_0_132,plain,
addition(addition(A,B),X_57) = addition(A,addition(B,X_57)),
inference(subst,[],[refute_0_36:[bind(C,$fot(X_57))]]) ).
cnf(refute_0_133,plain,
addition(B,addition(addition(A,B),X_57)) = addition(B,addition(addition(A,B),X_57)),
introduced(tautology,[refl,[$fot(addition(B,addition(addition(A,B),X_57)))]]) ).
cnf(refute_0_134,plain,
( addition(B,addition(addition(A,B),X_57)) != addition(B,addition(addition(A,B),X_57))
| addition(addition(A,B),X_57) != addition(A,addition(B,X_57))
| addition(B,addition(addition(A,B),X_57)) = addition(B,addition(A,addition(B,X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(B,addition(addition(A,B),X_57)),addition(B,addition(addition(A,B),X_57))) ),[1,1],$fot(addition(A,addition(B,X_57)))]]) ).
cnf(refute_0_135,plain,
( addition(addition(A,B),X_57) != addition(A,addition(B,X_57))
| addition(B,addition(addition(A,B),X_57)) = addition(B,addition(A,addition(B,X_57))) ),
inference(resolve,[$cnf( $equal(addition(B,addition(addition(A,B),X_57)),addition(B,addition(addition(A,B),X_57))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(B,addition(addition(A,B),X_57)) = addition(B,addition(A,addition(B,X_57))),
inference(resolve,[$cnf( $equal(addition(addition(A,B),X_57),addition(A,addition(B,X_57))) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
( addition(B,addition(A,addition(B,X_57))) != addition(A,addition(B,X_57))
| addition(B,addition(addition(A,B),X_57)) != addition(B,addition(A,addition(B,X_57)))
| addition(B,addition(addition(A,B),X_57)) = addition(A,addition(B,X_57)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(B,addition(addition(A,B),X_57)))),bind(Y,$fot(addition(B,addition(A,addition(B,X_57))))),bind(Z,$fot(addition(A,addition(B,X_57))))]]) ).
cnf(refute_0_138,plain,
( addition(B,addition(A,addition(B,X_57))) != addition(A,addition(B,X_57))
| addition(B,addition(addition(A,B),X_57)) = addition(A,addition(B,X_57)) ),
inference(resolve,[$cnf( $equal(addition(B,addition(addition(A,B),X_57)),addition(B,addition(A,addition(B,X_57)))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
addition(B,addition(addition(A,B),X_57)) = addition(A,addition(B,X_57)),
inference(resolve,[$cnf( $equal(addition(B,addition(A,addition(B,X_57))),addition(A,addition(B,X_57))) )],[refute_0_131,refute_0_138]) ).
cnf(refute_0_140,plain,
addition(addition(A,B),addition(X_57,B)) = addition(B,addition(addition(A,B),X_57)),
inference(subst,[],[refute_0_52:[bind(A,$fot(B)),bind(X_46,$fot(addition(A,B))),bind(X_47,$fot(X_57))]]) ).
cnf(refute_0_141,plain,
( addition(B,addition(addition(A,B),X_57)) != addition(A,addition(B,X_57))
| addition(addition(A,B),addition(X_57,B)) != addition(B,addition(addition(A,B),X_57))
| addition(addition(A,B),addition(X_57,B)) = addition(A,addition(B,X_57)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(A,B),addition(X_57,B)))),bind(Y,$fot(addition(B,addition(addition(A,B),X_57)))),bind(Z,$fot(addition(A,addition(B,X_57))))]]) ).
cnf(refute_0_142,plain,
( addition(B,addition(addition(A,B),X_57)) != addition(A,addition(B,X_57))
| addition(addition(A,B),addition(X_57,B)) = addition(A,addition(B,X_57)) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_57,B)),addition(B,addition(addition(A,B),X_57))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
addition(addition(A,B),addition(X_57,B)) = addition(A,addition(B,X_57)),
inference(resolve,[$cnf( $equal(addition(B,addition(addition(A,B),X_57)),addition(A,addition(B,X_57))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( addition(A,addition(X_57,B)) != addition(addition(A,B),addition(X_57,B))
| addition(addition(A,B),addition(X_57,B)) != addition(A,addition(B,X_57))
| addition(A,addition(X_57,B)) = addition(A,addition(B,X_57)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_57,B)),addition(A,addition(B,X_57))) ),[0],$fot(addition(addition(A,B),addition(X_57,B)))]]) ).
cnf(refute_0_145,plain,
( addition(A,addition(X_57,B)) != addition(addition(A,B),addition(X_57,B))
| addition(A,addition(X_57,B)) = addition(A,addition(B,X_57)) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_57,B)),addition(A,addition(B,X_57))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
addition(A,addition(X_57,B)) = addition(A,addition(B,X_57)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_57,B)),addition(addition(A,B),addition(X_57,B))) )],[refute_0_112,refute_0_145]) ).
cnf(refute_0_147,plain,
( addition(A,addition(X_57,B)) != addition(A,addition(B,X_57))
| addition(A,addition(B,X_57)) = addition(A,addition(X_57,B)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(A,addition(X_57,B)))),bind(Y,$fot(addition(A,addition(B,X_57))))]]) ).
cnf(refute_0_148,plain,
addition(A,addition(B,X_57)) = addition(A,addition(X_57,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_57,B)),addition(A,addition(B,X_57))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))) = addition(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))),
inference(subst,[],[refute_0_148:[bind(A,$fot(star(X_22))),bind(B,$fot(multiplication(star(X_22),X_22))),bind(X_57,$fot(star(X_22)))]]) ).
cnf(refute_0_150,plain,
( addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))) != addition(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22)))
| addition(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))) != addition(star(X_22),multiplication(star(X_22),X_22))
| addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))) = addition(star(X_22),multiplication(star(X_22),X_22)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))))),bind(Y,$fot(addition(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))))),bind(Z,$fot(addition(star(X_22),multiplication(star(X_22),X_22))))]]) ).
cnf(refute_0_151,plain,
( addition(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))) != addition(star(X_22),multiplication(star(X_22),X_22))
| addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))) = addition(star(X_22),multiplication(star(X_22),X_22)) ),
inference(resolve,[$cnf( $equal(addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))),addition(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22)))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))) = addition(star(X_22),multiplication(star(X_22),X_22)),
inference(resolve,[$cnf( $equal(addition(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))),addition(star(X_22),multiplication(star(X_22),X_22))) )],[refute_0_105,refute_0_151]) ).
cnf(refute_0_153,plain,
addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) = addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))),
inference(subst,[],[refute_0_36:[bind(A,$fot(star(X_22))),bind(B,$fot(multiplication(star(X_22),X_22))),bind(C,$fot(star(X_22)))]]) ).
cnf(refute_0_154,plain,
( addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) != addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22)))
| addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))) != addition(star(X_22),multiplication(star(X_22),X_22))
| addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) = addition(star(X_22),multiplication(star(X_22),X_22)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)))),bind(Y,$fot(addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))))),bind(Z,$fot(addition(star(X_22),multiplication(star(X_22),X_22))))]]) ).
cnf(refute_0_155,plain,
( addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))) != addition(star(X_22),multiplication(star(X_22),X_22))
| addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) = addition(star(X_22),multiplication(star(X_22),X_22)) ),
inference(resolve,[$cnf( $equal(addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)),addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22)))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) = addition(star(X_22),multiplication(star(X_22),X_22)),
inference(resolve,[$cnf( $equal(addition(star(X_22),addition(multiplication(star(X_22),X_22),star(X_22))),addition(star(X_22),multiplication(star(X_22),X_22))) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
( addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) != addition(star(X_22),multiplication(star(X_22),X_22))
| star(X_22) != addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))
| star(X_22) = addition(star(X_22),multiplication(star(X_22),X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(star(X_22),addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))) ),[1],$fot(addition(star(X_22),multiplication(star(X_22),X_22)))]]) ).
cnf(refute_0_158,plain,
( star(X_22) != addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))
| star(X_22) = addition(star(X_22),multiplication(star(X_22),X_22)) ),
inference(resolve,[$cnf( $equal(addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)),addition(star(X_22),multiplication(star(X_22),X_22))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))
| star(X_22) = addition(star(X_22),multiplication(star(X_22),X_22)) ),
inference(resolve,[$cnf( $equal(star(X_22),addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))) )],[refute_0_104,refute_0_158]) ).
cnf(refute_0_160,plain,
star(X_22) = addition(star(X_22),multiplication(star(X_22),X_22)),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),addition(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22))) )],[refute_0_102,refute_0_159]) ).
cnf(refute_0_161,plain,
multiplication(X_68,addition(one,X_70)) = addition(multiplication(X_68,one),multiplication(X_68,X_70)),
inference(subst,[],[right_distributivity:[bind(A,$fot(X_68)),bind(B,$fot(one)),bind(C,$fot(X_70))]]) ).
cnf(refute_0_162,plain,
multiplication(X_68,one) = X_68,
inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(X_68))]]) ).
cnf(refute_0_163,plain,
( multiplication(X_68,addition(one,X_70)) != addition(multiplication(X_68,one),multiplication(X_68,X_70))
| multiplication(X_68,one) != X_68
| multiplication(X_68,addition(one,X_70)) = addition(X_68,multiplication(X_68,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_68,addition(one,X_70)),addition(multiplication(X_68,one),multiplication(X_68,X_70))) ),[1,0],$fot(X_68)]]) ).
cnf(refute_0_164,plain,
( multiplication(X_68,addition(one,X_70)) != addition(multiplication(X_68,one),multiplication(X_68,X_70))
| multiplication(X_68,addition(one,X_70)) = addition(X_68,multiplication(X_68,X_70)) ),
inference(resolve,[$cnf( $equal(multiplication(X_68,one),X_68) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiplication(X_68,addition(one,X_70)) = addition(X_68,multiplication(X_68,X_70)),
inference(resolve,[$cnf( $equal(multiplication(X_68,addition(one,X_70)),addition(multiplication(X_68,one),multiplication(X_68,X_70))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( multiplication(X_68,addition(one,X_70)) != addition(X_68,multiplication(X_68,X_70))
| addition(X_68,multiplication(X_68,X_70)) = multiplication(X_68,addition(one,X_70)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(X_68,addition(one,X_70)))),bind(Y,$fot(addition(X_68,multiplication(X_68,X_70))))]]) ).
cnf(refute_0_167,plain,
addition(X_68,multiplication(X_68,X_70)) = multiplication(X_68,addition(one,X_70)),
inference(resolve,[$cnf( $equal(multiplication(X_68,addition(one,X_70)),addition(X_68,multiplication(X_68,X_70))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
addition(star(X_22),multiplication(star(X_22),X_22)) = multiplication(star(X_22),addition(one,X_22)),
inference(subst,[],[refute_0_167:[bind(X_68,$fot(star(X_22))),bind(X_70,$fot(X_22))]]) ).
cnf(refute_0_169,plain,
( addition(star(X_22),multiplication(star(X_22),X_22)) != multiplication(star(X_22),addition(one,X_22))
| star(X_22) != addition(star(X_22),multiplication(star(X_22),X_22))
| star(X_22) = multiplication(star(X_22),addition(one,X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))) ),[1],$fot(multiplication(star(X_22),addition(one,X_22)))]]) ).
cnf(refute_0_170,plain,
( star(X_22) != addition(star(X_22),multiplication(star(X_22),X_22))
| star(X_22) = multiplication(star(X_22),addition(one,X_22)) ),
inference(resolve,[$cnf( $equal(addition(star(X_22),multiplication(star(X_22),X_22)),multiplication(star(X_22),addition(one,X_22))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
star(X_22) = multiplication(star(X_22),addition(one,X_22)),
inference(resolve,[$cnf( $equal(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))) )],[refute_0_160,refute_0_170]) ).
cnf(refute_0_172,plain,
( star(X_22) != multiplication(star(X_22),addition(one,X_22))
| multiplication(star(X_22),addition(one,X_22)) = star(X_22) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(star(X_22))),bind(Y,$fot(multiplication(star(X_22),addition(one,X_22))))]]) ).
cnf(refute_0_173,plain,
multiplication(star(X_22),addition(one,X_22)) = star(X_22),
inference(resolve,[$cnf( $equal(star(X_22),multiplication(star(X_22),addition(one,X_22))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
( ifeq(leq(addition(one,multiplication(star(X_22),addition(one,X_22))),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) != true
| multiplication(star(X_22),addition(one,X_22)) != star(X_22)
| ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,multiplication(star(X_22),addition(one,X_22))),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),true) ),[0,0,0,1],$fot(star(X_22))]]) ).
cnf(refute_0_175,plain,
( ifeq(leq(addition(one,multiplication(star(X_22),addition(one,X_22))),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) != true
| ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(star(X_22),addition(one,X_22)),star(X_22)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,multiplication(star(X_22),addition(one,X_22))),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),true) )],[refute_0_22,refute_0_175]) ).
cnf(refute_0_177,plain,
ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true) = leq(star(addition(one,X_22)),star(X_22)),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(star(addition(one,X_22)),star(X_22)))),bind(C,$fot(true))]]) ).
cnf(refute_0_178,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_179,plain,
addition(X_26,X_26) = X_26,
inference(subst,[],[additive_idempotence:[bind(A,$fot(X_26))]]) ).
cnf(refute_0_180,plain,
( addition(X_26,X_26) != X_26
| ifeq3(addition(X_26,X_26),X_26,leq(X_26,X_26),true) != true
| ifeq3(X_26,X_26,leq(X_26,X_26),true) = true ),
introduced(tautology,[equality,[$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_181,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( $equal(addition(X_26,X_26),X_26) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
ifeq3(X_26,X_26,leq(X_26,X_26),true) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(X_26,X_26),X_26,leq(X_26,X_26),true),true) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
ifeq3(X_26,X_26,leq(X_26,X_26),true) = leq(X_26,X_26),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(X_26)),bind(B,$fot(leq(X_26,X_26))),bind(C,$fot(true))]]) ).
cnf(refute_0_184,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_185,plain,
( ifeq3(X_26,X_26,leq(X_26,X_26),true) != true
| leq(X_26,X_26) = true ),
inference(resolve,[$cnf( $equal(ifeq3(X_26,X_26,leq(X_26,X_26),true),leq(X_26,X_26)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
leq(X_26,X_26) = true,
inference(resolve,[$cnf( $equal(ifeq3(X_26,X_26,leq(X_26,X_26),true),true) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
leq(star(X_22),star(X_22)) = true,
inference(subst,[],[refute_0_186:[bind(X_26,$fot(star(X_22)))]]) ).
cnf(refute_0_188,plain,
( star(X_22) != addition(star(X_22),multiplication(star(X_22),X_22))
| addition(star(X_22),multiplication(star(X_22),X_22)) = star(X_22) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(star(X_22))),bind(Y,$fot(addition(star(X_22),multiplication(star(X_22),X_22))))]]) ).
cnf(refute_0_189,plain,
addition(star(X_22),multiplication(star(X_22),X_22)) = star(X_22),
inference(resolve,[$cnf( $equal(star(X_22),addition(star(X_22),multiplication(star(X_22),X_22))) )],[refute_0_160,refute_0_188]) ).
cnf(refute_0_190,plain,
addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),
introduced(tautology,[refl,[$fot(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))))]]) ).
cnf(refute_0_191,plain,
( addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))
| addition(star(X_22),multiplication(star(X_22),X_22)) != star(X_22)
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = addition(one,star(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))) ),[1,1],$fot(star(X_22))]]) ).
cnf(refute_0_192,plain,
( addition(star(X_22),multiplication(star(X_22),X_22)) != star(X_22)
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = addition(one,star(X_22)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),addition(one,addition(star(X_22),multiplication(star(X_22),X_22)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) = addition(one,star(X_22)),
inference(resolve,[$cnf( $equal(addition(star(X_22),multiplication(star(X_22),X_22)),star(X_22)) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
( addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != addition(one,star(X_22))
| addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != star(X_22)
| addition(one,star(X_22)) = star(X_22) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),star(X_22)) ),[0],$fot(addition(one,star(X_22)))]]) ).
cnf(refute_0_195,plain,
( addition(one,addition(star(X_22),multiplication(star(X_22),X_22))) != star(X_22)
| addition(one,star(X_22)) = star(X_22) ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),addition(one,star(X_22))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
addition(one,star(X_22)) = star(X_22),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_22),multiplication(star(X_22),X_22))),star(X_22)) )],[refute_0_99,refute_0_195]) ).
cnf(refute_0_197,plain,
leq(addition(one,star(X_22)),star(X_22)) = leq(addition(one,star(X_22)),star(X_22)),
introduced(tautology,[refl,[$fot(leq(addition(one,star(X_22)),star(X_22)))]]) ).
cnf(refute_0_198,plain,
( addition(one,star(X_22)) != star(X_22)
| leq(addition(one,star(X_22)),star(X_22)) != leq(addition(one,star(X_22)),star(X_22))
| leq(addition(one,star(X_22)),star(X_22)) = leq(star(X_22),star(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(one,star(X_22)),star(X_22)),leq(addition(one,star(X_22)),star(X_22))) ),[1,0],$fot(star(X_22))]]) ).
cnf(refute_0_199,plain,
( addition(one,star(X_22)) != star(X_22)
| leq(addition(one,star(X_22)),star(X_22)) = leq(star(X_22),star(X_22)) ),
inference(resolve,[$cnf( $equal(leq(addition(one,star(X_22)),star(X_22)),leq(addition(one,star(X_22)),star(X_22))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
leq(addition(one,star(X_22)),star(X_22)) = leq(star(X_22),star(X_22)),
inference(resolve,[$cnf( $equal(addition(one,star(X_22)),star(X_22)) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( leq(addition(one,star(X_22)),star(X_22)) != leq(star(X_22),star(X_22))
| leq(star(X_22),star(X_22)) != true
| leq(addition(one,star(X_22)),star(X_22)) = true ),
inference(subst,[],[refute_0_55:[bind(X,$fot(leq(addition(one,star(X_22)),star(X_22)))),bind(Y,$fot(leq(star(X_22),star(X_22)))),bind(Z,$fot(true))]]) ).
cnf(refute_0_202,plain,
( leq(star(X_22),star(X_22)) != true
| leq(addition(one,star(X_22)),star(X_22)) = true ),
inference(resolve,[$cnf( $equal(leq(addition(one,star(X_22)),star(X_22)),leq(star(X_22),star(X_22))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
leq(addition(one,star(X_22)),star(X_22)) = true,
inference(resolve,[$cnf( $equal(leq(star(X_22),star(X_22)),true) )],[refute_0_187,refute_0_202]) ).
cnf(refute_0_204,plain,
ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),
introduced(tautology,[refl,[$fot(ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true))]]) ).
cnf(refute_0_205,plain,
( ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) != ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true)
| leq(addition(one,star(X_22)),star(X_22)) != true
| ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_206,plain,
( leq(addition(one,star(X_22)),star(X_22)) != true
| ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true)) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true),
inference(resolve,[$cnf( $equal(leq(addition(one,star(X_22)),star(X_22)),true) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
( ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) != ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true)
| ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true) != leq(star(addition(one,X_22)),star(X_22))
| ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = leq(star(addition(one,X_22)),star(X_22)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true))),bind(Y,$fot(ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true))),bind(Z,$fot(leq(star(addition(one,X_22)),star(X_22))))]]) ).
cnf(refute_0_209,plain,
( ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true) != leq(star(addition(one,X_22)),star(X_22))
| ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = leq(star(addition(one,X_22)),star(X_22)) ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) = leq(star(addition(one,X_22)),star(X_22)),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(star(addition(one,X_22)),star(X_22)),true),leq(star(addition(one,X_22)),star(X_22))) )],[refute_0_177,refute_0_209]) ).
cnf(refute_0_211,plain,
( ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) != leq(star(addition(one,X_22)),star(X_22))
| ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) != true
| leq(star(addition(one,X_22)),star(X_22)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),true) ),[0],$fot(leq(star(addition(one,X_22)),star(X_22)))]]) ).
cnf(refute_0_212,plain,
( ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true) != true
| leq(star(addition(one,X_22)),star(X_22)) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),leq(star(addition(one,X_22)),star(X_22))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
leq(star(addition(one,X_22)),star(X_22)) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,star(X_22)),star(X_22)),true,leq(star(addition(one,X_22)),star(X_22)),true),true) )],[refute_0_176,refute_0_212]) ).
cnf(refute_0_214,plain,
leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)) = true,
inference(subst,[],[refute_0_213:[bind(X_22,$fot(sK2_goals_X0))]]) ).
cnf(refute_0_215,plain,
tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),
introduced(tautology,[refl,[$fot(tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))))]]) ).
cnf(refute_0_216,plain,
( leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)) != true
| tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))
| tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))) ),[1,0],$fot(true)]]) ).
cnf(refute_0_217,plain,
( leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)) != true
| tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) ),
inference(resolve,[$cnf( $equal(tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),
inference(resolve,[$cnf( $equal(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),true) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
( tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))
| tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,true)
| tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,true) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(true,true)) ),[0],$fot(tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))))]]) ).
cnf(refute_0_220,plain,
( tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,true)
| tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,true) ),
inference(resolve,[$cnf( $equal(tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,true),
inference(resolve,[$cnf( $equal(tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(true,true)) )],[refute_0_220,goals]) ).
cnf(refute_0_222,plain,
ifeq(leq(addition(one,multiplication(star(addition(X_685,X_684)),addition(one,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = true,
inference(subst,[],[refute_0_21:[bind(X_96,$fot(star(addition(X_685,X_684)))),bind(X_97,$fot(addition(one,X_684)))]]) ).
cnf(refute_0_223,plain,
star(addition(X_169,X_168)) = multiplication(star(addition(X_169,X_168)),addition(one,addition(X_169,X_168))),
inference(subst,[],[refute_0_171:[bind(X_22,$fot(addition(X_169,X_168)))]]) ).
cnf(refute_0_224,plain,
addition(one,addition(X_169,X_168)) = addition(one,addition(X_168,X_169)),
inference(subst,[],[refute_0_40:[bind(X_46,$fot(one)),bind(X_47,$fot(X_168)),bind(X_48,$fot(X_169))]]) ).
cnf(refute_0_225,plain,
( addition(one,addition(X_169,X_168)) != addition(one,addition(X_168,X_169))
| star(addition(X_169,X_168)) != multiplication(star(addition(X_169,X_168)),addition(one,addition(X_169,X_168)))
| star(addition(X_169,X_168)) = multiplication(star(addition(X_169,X_168)),addition(one,addition(X_168,X_169))) ),
introduced(tautology,[equality,[$cnf( $equal(star(addition(X_169,X_168)),multiplication(star(addition(X_169,X_168)),addition(one,addition(X_169,X_168)))) ),[1,1],$fot(addition(one,addition(X_168,X_169)))]]) ).
cnf(refute_0_226,plain,
( star(addition(X_169,X_168)) != multiplication(star(addition(X_169,X_168)),addition(one,addition(X_169,X_168)))
| star(addition(X_169,X_168)) = multiplication(star(addition(X_169,X_168)),addition(one,addition(X_168,X_169))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_169,X_168)),addition(one,addition(X_168,X_169))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
star(addition(X_169,X_168)) = multiplication(star(addition(X_169,X_168)),addition(one,addition(X_168,X_169))),
inference(resolve,[$cnf( $equal(star(addition(X_169,X_168)),multiplication(star(addition(X_169,X_168)),addition(one,addition(X_169,X_168)))) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
star(addition(X_365,addition(X_47,X_365))) = multiplication(star(addition(X_365,addition(X_47,X_365))),addition(one,addition(addition(X_47,X_365),X_365))),
inference(subst,[],[refute_0_227:[bind(X_168,$fot(addition(X_47,X_365))),bind(X_169,$fot(X_365))]]) ).
cnf(refute_0_229,plain,
addition(X_47,X_365) = addition(X_365,addition(X_47,X_365)),
inference(subst,[],[refute_0_77:[bind(X_48,$fot(X_365))]]) ).
cnf(refute_0_230,plain,
( addition(X_47,X_365) != addition(X_365,addition(X_47,X_365))
| addition(X_365,addition(X_47,X_365)) = addition(X_47,X_365) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_47,X_365))),bind(Y,$fot(addition(X_365,addition(X_47,X_365))))]]) ).
cnf(refute_0_231,plain,
addition(X_365,addition(X_47,X_365)) = addition(X_47,X_365),
inference(resolve,[$cnf( $equal(addition(X_47,X_365),addition(X_365,addition(X_47,X_365))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
( addition(X_365,addition(X_47,X_365)) != addition(X_47,X_365)
| star(addition(X_365,addition(X_47,X_365))) != multiplication(star(addition(X_365,addition(X_47,X_365))),addition(one,addition(addition(X_47,X_365),X_365)))
| star(addition(X_365,addition(X_47,X_365))) = multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) ),
introduced(tautology,[equality,[$cnf( $equal(star(addition(X_365,addition(X_47,X_365))),multiplication(star(addition(X_365,addition(X_47,X_365))),addition(one,addition(addition(X_47,X_365),X_365)))) ),[1,0,0],$fot(addition(X_47,X_365))]]) ).
cnf(refute_0_233,plain,
( star(addition(X_365,addition(X_47,X_365))) != multiplication(star(addition(X_365,addition(X_47,X_365))),addition(one,addition(addition(X_47,X_365),X_365)))
| star(addition(X_365,addition(X_47,X_365))) = multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) ),
inference(resolve,[$cnf( $equal(addition(X_365,addition(X_47,X_365)),addition(X_47,X_365)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
star(addition(X_365,addition(X_47,X_365))) = multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))),
inference(resolve,[$cnf( $equal(star(addition(X_365,addition(X_47,X_365))),multiplication(star(addition(X_365,addition(X_47,X_365))),addition(one,addition(addition(X_47,X_365),X_365)))) )],[refute_0_228,refute_0_233]) ).
cnf(refute_0_235,plain,
star(addition(X_365,addition(X_47,X_365))) = star(addition(X_365,addition(X_47,X_365))),
introduced(tautology,[refl,[$fot(star(addition(X_365,addition(X_47,X_365))))]]) ).
cnf(refute_0_236,plain,
( addition(X_365,addition(X_47,X_365)) != addition(X_47,X_365)
| star(addition(X_365,addition(X_47,X_365))) != star(addition(X_365,addition(X_47,X_365)))
| star(addition(X_365,addition(X_47,X_365))) = star(addition(X_47,X_365)) ),
introduced(tautology,[equality,[$cnf( $equal(star(addition(X_365,addition(X_47,X_365))),star(addition(X_365,addition(X_47,X_365)))) ),[1,0],$fot(addition(X_47,X_365))]]) ).
cnf(refute_0_237,plain,
( addition(X_365,addition(X_47,X_365)) != addition(X_47,X_365)
| star(addition(X_365,addition(X_47,X_365))) = star(addition(X_47,X_365)) ),
inference(resolve,[$cnf( $equal(star(addition(X_365,addition(X_47,X_365))),star(addition(X_365,addition(X_47,X_365)))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
star(addition(X_365,addition(X_47,X_365))) = star(addition(X_47,X_365)),
inference(resolve,[$cnf( $equal(addition(X_365,addition(X_47,X_365)),addition(X_47,X_365)) )],[refute_0_231,refute_0_237]) ).
cnf(refute_0_239,plain,
( star(addition(X_365,addition(X_47,X_365))) != multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))
| star(addition(X_365,addition(X_47,X_365))) != star(addition(X_47,X_365))
| star(addition(X_47,X_365)) = multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) ),
introduced(tautology,[equality,[$cnf( $equal(star(addition(X_365,addition(X_47,X_365))),multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))) ),[0],$fot(star(addition(X_47,X_365)))]]) ).
cnf(refute_0_240,plain,
( star(addition(X_365,addition(X_47,X_365))) != multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))
| star(addition(X_47,X_365)) = multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) ),
inference(resolve,[$cnf( $equal(star(addition(X_365,addition(X_47,X_365))),star(addition(X_47,X_365))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) = addition(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))),multiplication(star(addition(X_365,X_364)),C)),
inference(subst,[],[right_distributivity:[bind(A,$fot(star(addition(X_365,X_364)))),bind(B,$fot(addition(one,addition(X_364,X_365))))]]) ).
cnf(refute_0_242,plain,
star(addition(X_365,X_364)) = multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))),
inference(subst,[],[refute_0_227:[bind(X_168,$fot(X_364)),bind(X_169,$fot(X_365))]]) ).
cnf(refute_0_243,plain,
( star(addition(X_365,X_364)) != multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365)))
| multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))) = star(addition(X_365,X_364)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(star(addition(X_365,X_364)))),bind(Y,$fot(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365)))))]]) ).
cnf(refute_0_244,plain,
multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))) = star(addition(X_365,X_364)),
inference(resolve,[$cnf( $equal(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365)))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) != addition(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))),multiplication(star(addition(X_365,X_364)),C))
| multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))) != star(addition(X_365,X_364))
| multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) = addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)),addition(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))),multiplication(star(addition(X_365,X_364)),C))) ),[1,0],$fot(star(addition(X_365,X_364)))]]) ).
cnf(refute_0_246,plain,
( multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) != addition(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))),multiplication(star(addition(X_365,X_364)),C))
| multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) = addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C)) ),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))),star(addition(X_365,X_364))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) = addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C)),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)),addition(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,X_365))),multiplication(star(addition(X_365,X_364)),C))) )],[refute_0_241,refute_0_246]) ).
cnf(refute_0_248,plain,
addition(addition(X_364,X_365),C) = addition(X_364,addition(X_365,C)),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_364)),bind(B,$fot(X_365))]]) ).
cnf(refute_0_249,plain,
addition(one,addition(addition(X_364,X_365),C)) = addition(one,addition(addition(X_364,X_365),C)),
introduced(tautology,[refl,[$fot(addition(one,addition(addition(X_364,X_365),C)))]]) ).
cnf(refute_0_250,plain,
( addition(addition(X_364,X_365),C) != addition(X_364,addition(X_365,C))
| addition(one,addition(addition(X_364,X_365),C)) != addition(one,addition(addition(X_364,X_365),C))
| addition(one,addition(addition(X_364,X_365),C)) = addition(one,addition(X_364,addition(X_365,C))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(addition(X_364,X_365),C)),addition(one,addition(addition(X_364,X_365),C))) ),[1,1],$fot(addition(X_364,addition(X_365,C)))]]) ).
cnf(refute_0_251,plain,
( addition(addition(X_364,X_365),C) != addition(X_364,addition(X_365,C))
| addition(one,addition(addition(X_364,X_365),C)) = addition(one,addition(X_364,addition(X_365,C))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_364,X_365),C)),addition(one,addition(addition(X_364,X_365),C))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
addition(one,addition(addition(X_364,X_365),C)) = addition(one,addition(X_364,addition(X_365,C))),
inference(resolve,[$cnf( $equal(addition(addition(X_364,X_365),C),addition(X_364,addition(X_365,C))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
addition(addition(one,addition(X_364,X_365)),C) = addition(one,addition(addition(X_364,X_365),C)),
inference(subst,[],[refute_0_36:[bind(A,$fot(one)),bind(B,$fot(addition(X_364,X_365)))]]) ).
cnf(refute_0_254,plain,
( addition(addition(one,addition(X_364,X_365)),C) != addition(one,addition(addition(X_364,X_365),C))
| addition(one,addition(addition(X_364,X_365),C)) != addition(one,addition(X_364,addition(X_365,C)))
| addition(addition(one,addition(X_364,X_365)),C) = addition(one,addition(X_364,addition(X_365,C))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(one,addition(X_364,X_365)),C))),bind(Y,$fot(addition(one,addition(addition(X_364,X_365),C)))),bind(Z,$fot(addition(one,addition(X_364,addition(X_365,C)))))]]) ).
cnf(refute_0_255,plain,
( addition(one,addition(addition(X_364,X_365),C)) != addition(one,addition(X_364,addition(X_365,C)))
| addition(addition(one,addition(X_364,X_365)),C) = addition(one,addition(X_364,addition(X_365,C))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,addition(X_364,X_365)),C),addition(one,addition(addition(X_364,X_365),C))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
addition(addition(one,addition(X_364,X_365)),C) = addition(one,addition(X_364,addition(X_365,C))),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_364,X_365),C)),addition(one,addition(X_364,addition(X_365,C)))) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) = multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)),
introduced(tautology,[refl,[$fot(multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)))]]) ).
cnf(refute_0_258,plain,
( addition(addition(one,addition(X_364,X_365)),C) != addition(one,addition(X_364,addition(X_365,C)))
| multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) != multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C))
| multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) = multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)),multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C))) ),[1,1],$fot(addition(one,addition(X_364,addition(X_365,C))))]]) ).
cnf(refute_0_259,plain,
( addition(addition(one,addition(X_364,X_365)),C) != addition(one,addition(X_364,addition(X_365,C)))
| multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) = multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) ),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)),multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) = multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))),
inference(resolve,[$cnf( $equal(addition(addition(one,addition(X_364,X_365)),C),addition(one,addition(X_364,addition(X_365,C)))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) != addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))
| multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) != multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C))))
| multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) = addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)),addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))) ),[0],$fot(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))))]]) ).
cnf(refute_0_262,plain,
( multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) != addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))
| multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) = addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C)) ),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)),multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C))))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
ifeq2(leq(X_18,X_19),true,addition(X_18,X_19),X_19) = X_19,
inference(subst,[],[order_1:[bind(A,$fot(X_18)),bind(B,$fot(X_19))]]) ).
cnf(refute_0_264,plain,
addition(X_19,X_18) = addition(X_18,X_19),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_19)),bind(B,$fot(X_18))]]) ).
cnf(refute_0_265,plain,
( addition(X_19,X_18) != addition(X_18,X_19)
| addition(X_18,X_19) = addition(X_19,X_18) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_19,X_18))),bind(Y,$fot(addition(X_18,X_19)))]]) ).
cnf(refute_0_266,plain,
addition(X_18,X_19) = addition(X_19,X_18),
inference(resolve,[$cnf( $equal(addition(X_19,X_18),addition(X_18,X_19)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
( addition(X_18,X_19) != addition(X_19,X_18)
| ifeq2(leq(X_18,X_19),true,addition(X_18,X_19),X_19) != X_19
| ifeq2(leq(X_18,X_19),true,addition(X_19,X_18),X_19) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(X_18,X_19),true,addition(X_18,X_19),X_19),X_19) ),[0,2],$fot(addition(X_19,X_18))]]) ).
cnf(refute_0_268,plain,
( ifeq2(leq(X_18,X_19),true,addition(X_18,X_19),X_19) != X_19
| ifeq2(leq(X_18,X_19),true,addition(X_19,X_18),X_19) = X_19 ),
inference(resolve,[$cnf( $equal(addition(X_18,X_19),addition(X_19,X_18)) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
ifeq2(leq(X_18,X_19),true,addition(X_19,X_18),X_19) = X_19,
inference(resolve,[$cnf( $equal(ifeq2(leq(X_18,X_19),true,addition(X_18,X_19),X_19),X_19) )],[refute_0_263,refute_0_268]) ).
cnf(refute_0_270,plain,
ifeq2(leq(X_18,multiplication(X_18,addition(star(zero),X_150))),true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) = multiplication(X_18,addition(star(zero),X_150)),
inference(subst,[],[refute_0_269:[bind(X_19,$fot(multiplication(X_18,addition(star(zero),X_150))))]]) ).
cnf(refute_0_271,plain,
ifeq3(addition(A,addition(A,X_65)),addition(A,X_65),leq(A,addition(A,X_65)),true) = true,
inference(subst,[],[order:[bind(B,$fot(addition(A,X_65)))]]) ).
cnf(refute_0_272,plain,
addition(A,addition(A,X_65)) = addition(A,X_65),
inference(subst,[],[refute_0_70:[bind(X_47,$fot(A)),bind(X_48,$fot(X_65))]]) ).
cnf(refute_0_273,plain,
( addition(A,addition(A,X_65)) != addition(A,X_65)
| ifeq3(addition(A,addition(A,X_65)),addition(A,X_65),leq(A,addition(A,X_65)),true) != true
| ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(A,addition(A,X_65)),addition(A,X_65),leq(A,addition(A,X_65)),true),true) ),[0,0],$fot(addition(A,X_65))]]) ).
cnf(refute_0_274,plain,
( ifeq3(addition(A,addition(A,X_65)),addition(A,X_65),leq(A,addition(A,X_65)),true) != true
| ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true) = true ),
inference(resolve,[$cnf( $equal(addition(A,addition(A,X_65)),addition(A,X_65)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(A,addition(A,X_65)),addition(A,X_65),leq(A,addition(A,X_65)),true),true) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true) = leq(A,addition(A,X_65)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(addition(A,X_65))),bind(B,$fot(leq(A,addition(A,X_65)))),bind(C,$fot(true))]]) ).
cnf(refute_0_277,plain,
( ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true) != leq(A,addition(A,X_65))
| ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true) != true
| leq(A,addition(A,X_65)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true),true) ),[0],$fot(leq(A,addition(A,X_65)))]]) ).
cnf(refute_0_278,plain,
( ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true) != true
| leq(A,addition(A,X_65)) = true ),
inference(resolve,[$cnf( $equal(ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true),leq(A,addition(A,X_65))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
leq(A,addition(A,X_65)) = true,
inference(resolve,[$cnf( $equal(ifeq3(addition(A,X_65),addition(A,X_65),leq(A,addition(A,X_65)),true),true) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
leq(A,addition(A,multiplication(A,X_74))) = true,
inference(subst,[],[refute_0_279:[bind(X_65,$fot(multiplication(A,X_74)))]]) ).
cnf(refute_0_281,plain,
multiplication(A,addition(one,X_74)) = addition(A,multiplication(A,X_74)),
inference(subst,[],[refute_0_165:[bind(X_68,$fot(A)),bind(X_70,$fot(X_74))]]) ).
cnf(refute_0_282,plain,
( multiplication(A,addition(one,X_74)) != addition(A,multiplication(A,X_74))
| addition(A,multiplication(A,X_74)) = multiplication(A,addition(one,X_74)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(A,addition(one,X_74)))),bind(Y,$fot(addition(A,multiplication(A,X_74))))]]) ).
cnf(refute_0_283,plain,
addition(A,multiplication(A,X_74)) = multiplication(A,addition(one,X_74)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(one,X_74)),addition(A,multiplication(A,X_74))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( addition(A,multiplication(A,X_74)) != multiplication(A,addition(one,X_74))
| leq(A,addition(A,multiplication(A,X_74))) != true
| leq(A,multiplication(A,addition(one,X_74))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(A,addition(A,multiplication(A,X_74))),true) ),[0,1],$fot(multiplication(A,addition(one,X_74)))]]) ).
cnf(refute_0_285,plain,
( leq(A,addition(A,multiplication(A,X_74))) != true
| leq(A,multiplication(A,addition(one,X_74))) = true ),
inference(resolve,[$cnf( $equal(addition(A,multiplication(A,X_74)),multiplication(A,addition(one,X_74))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
leq(A,multiplication(A,addition(one,X_74))) = true,
inference(resolve,[$cnf( $equal(leq(A,addition(A,multiplication(A,X_74))),true) )],[refute_0_280,refute_0_285]) ).
cnf(refute_0_287,plain,
leq(X_81,multiplication(X_81,addition(one,addition(X_49,star(zero))))) = true,
inference(subst,[],[refute_0_286:[bind(A,$fot(X_81)),bind(X_74,$fot(addition(X_49,star(zero))))]]) ).
cnf(refute_0_288,plain,
addition(one,addition(star(zero),X_48)) = addition(addition(one,star(zero)),X_48),
inference(subst,[],[additive_associativity:[bind(A,$fot(one)),bind(B,$fot(star(zero))),bind(C,$fot(X_48))]]) ).
cnf(refute_0_289,plain,
ifeq2(leq(one,star(zero)),true,addition(one,star(zero)),star(zero)) = star(zero),
inference(subst,[],[order_1:[bind(A,$fot(one)),bind(B,$fot(star(zero)))]]) ).
cnf(refute_0_290,plain,
leq(addition(one,multiplication(star(zero),zero)),star(zero)) = true,
inference(subst,[],[star_unfold_left:[bind(A,$fot(zero))]]) ).
cnf(refute_0_291,plain,
multiplication(star(zero),zero) = zero,
inference(subst,[],[right_annihilation:[bind(A,$fot(star(zero)))]]) ).
cnf(refute_0_292,plain,
( leq(addition(one,multiplication(star(zero),zero)),star(zero)) != true
| multiplication(star(zero),zero) != zero
| leq(addition(one,zero),star(zero)) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(one,multiplication(star(zero),zero)),star(zero)),true) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_293,plain,
( leq(addition(one,multiplication(star(zero),zero)),star(zero)) != true
| leq(addition(one,zero),star(zero)) = true ),
inference(resolve,[$cnf( $equal(multiplication(star(zero),zero),zero) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
leq(addition(one,zero),star(zero)) = true,
inference(resolve,[$cnf( $equal(leq(addition(one,multiplication(star(zero),zero)),star(zero)),true) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
addition(one,zero) = one,
inference(subst,[],[additive_identity:[bind(A,$fot(one))]]) ).
cnf(refute_0_296,plain,
leq(addition(one,zero),star(zero)) = leq(addition(one,zero),star(zero)),
introduced(tautology,[refl,[$fot(leq(addition(one,zero),star(zero)))]]) ).
cnf(refute_0_297,plain,
( addition(one,zero) != one
| leq(addition(one,zero),star(zero)) != leq(addition(one,zero),star(zero))
| leq(addition(one,zero),star(zero)) = leq(one,star(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(one,zero),star(zero)),leq(addition(one,zero),star(zero))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_298,plain,
( addition(one,zero) != one
| leq(addition(one,zero),star(zero)) = leq(one,star(zero)) ),
inference(resolve,[$cnf( $equal(leq(addition(one,zero),star(zero)),leq(addition(one,zero),star(zero))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
leq(addition(one,zero),star(zero)) = leq(one,star(zero)),
inference(resolve,[$cnf( $equal(addition(one,zero),one) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( leq(addition(one,zero),star(zero)) != leq(one,star(zero))
| leq(addition(one,zero),star(zero)) != true
| leq(one,star(zero)) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(one,zero),star(zero)),true) ),[0],$fot(leq(one,star(zero)))]]) ).
cnf(refute_0_301,plain,
( leq(addition(one,zero),star(zero)) != true
| leq(one,star(zero)) = true ),
inference(resolve,[$cnf( $equal(leq(addition(one,zero),star(zero)),leq(one,star(zero))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
leq(one,star(zero)) = true,
inference(resolve,[$cnf( $equal(leq(addition(one,zero),star(zero)),true) )],[refute_0_294,refute_0_301]) ).
cnf(refute_0_303,plain,
( ifeq2(leq(one,star(zero)),true,addition(one,star(zero)),star(zero)) != star(zero)
| leq(one,star(zero)) != true
| ifeq2(true,true,addition(one,star(zero)),star(zero)) = star(zero) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(one,star(zero)),true,addition(one,star(zero)),star(zero)),star(zero)) ),[0,0],$fot(true)]]) ).
cnf(refute_0_304,plain,
( ifeq2(leq(one,star(zero)),true,addition(one,star(zero)),star(zero)) != star(zero)
| ifeq2(true,true,addition(one,star(zero)),star(zero)) = star(zero) ),
inference(resolve,[$cnf( $equal(leq(one,star(zero)),true) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
ifeq2(true,true,addition(one,star(zero)),star(zero)) = star(zero),
inference(resolve,[$cnf( $equal(ifeq2(leq(one,star(zero)),true,addition(one,star(zero)),star(zero)),star(zero)) )],[refute_0_289,refute_0_304]) ).
cnf(refute_0_306,plain,
ifeq2(true,true,addition(one,star(zero)),star(zero)) = addition(one,star(zero)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(one,star(zero)))),bind(C,$fot(star(zero)))]]) ).
cnf(refute_0_307,plain,
( ifeq2(true,true,addition(one,star(zero)),star(zero)) != addition(one,star(zero))
| ifeq2(true,true,addition(one,star(zero)),star(zero)) != star(zero)
| addition(one,star(zero)) = star(zero) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(one,star(zero)),star(zero)),star(zero)) ),[0],$fot(addition(one,star(zero)))]]) ).
cnf(refute_0_308,plain,
( ifeq2(true,true,addition(one,star(zero)),star(zero)) != star(zero)
| addition(one,star(zero)) = star(zero) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(one,star(zero)),star(zero)),addition(one,star(zero))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
addition(one,star(zero)) = star(zero),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(one,star(zero)),star(zero)),star(zero)) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( addition(one,addition(star(zero),X_48)) != addition(addition(one,star(zero)),X_48)
| addition(one,star(zero)) != star(zero)
| addition(one,addition(star(zero),X_48)) = addition(star(zero),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(zero),X_48)),addition(addition(one,star(zero)),X_48)) ),[1,0],$fot(star(zero))]]) ).
cnf(refute_0_311,plain,
( addition(one,addition(star(zero),X_48)) != addition(addition(one,star(zero)),X_48)
| addition(one,addition(star(zero),X_48)) = addition(star(zero),X_48) ),
inference(resolve,[$cnf( $equal(addition(one,star(zero)),star(zero)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
addition(one,addition(star(zero),X_48)) = addition(star(zero),X_48),
inference(resolve,[$cnf( $equal(addition(one,addition(star(zero),X_48)),addition(addition(one,star(zero)),X_48)) )],[refute_0_288,refute_0_311]) ).
cnf(refute_0_313,plain,
addition(one,addition(star(zero),X_49)) = addition(star(zero),X_49),
inference(subst,[],[refute_0_312:[bind(X_48,$fot(X_49))]]) ).
cnf(refute_0_314,plain,
addition(X_49,star(zero)) = addition(star(zero),X_49),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_49)),bind(B,$fot(star(zero)))]]) ).
cnf(refute_0_315,plain,
( addition(X_49,star(zero)) != addition(star(zero),X_49)
| addition(star(zero),X_49) = addition(X_49,star(zero)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_49,star(zero)))),bind(Y,$fot(addition(star(zero),X_49)))]]) ).
cnf(refute_0_316,plain,
addition(star(zero),X_49) = addition(X_49,star(zero)),
inference(resolve,[$cnf( $equal(addition(X_49,star(zero)),addition(star(zero),X_49)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
( addition(one,addition(star(zero),X_49)) != addition(star(zero),X_49)
| addition(star(zero),X_49) != addition(X_49,star(zero))
| addition(one,addition(X_49,star(zero))) = addition(star(zero),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(zero),X_49)),addition(star(zero),X_49)) ),[0,1],$fot(addition(X_49,star(zero)))]]) ).
cnf(refute_0_318,plain,
( addition(one,addition(star(zero),X_49)) != addition(star(zero),X_49)
| addition(one,addition(X_49,star(zero))) = addition(star(zero),X_49) ),
inference(resolve,[$cnf( $equal(addition(star(zero),X_49),addition(X_49,star(zero))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
addition(one,addition(X_49,star(zero))) = addition(star(zero),X_49),
inference(resolve,[$cnf( $equal(addition(one,addition(star(zero),X_49)),addition(star(zero),X_49)) )],[refute_0_313,refute_0_318]) ).
cnf(refute_0_320,plain,
( addition(one,addition(X_49,star(zero))) != addition(star(zero),X_49)
| leq(X_81,multiplication(X_81,addition(one,addition(X_49,star(zero))))) != true
| leq(X_81,multiplication(X_81,addition(star(zero),X_49))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(X_81,multiplication(X_81,addition(one,addition(X_49,star(zero))))),true) ),[0,1,1],$fot(addition(star(zero),X_49))]]) ).
cnf(refute_0_321,plain,
( leq(X_81,multiplication(X_81,addition(one,addition(X_49,star(zero))))) != true
| leq(X_81,multiplication(X_81,addition(star(zero),X_49))) = true ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_49,star(zero))),addition(star(zero),X_49)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
leq(X_81,multiplication(X_81,addition(star(zero),X_49))) = true,
inference(resolve,[$cnf( $equal(leq(X_81,multiplication(X_81,addition(one,addition(X_49,star(zero))))),true) )],[refute_0_287,refute_0_321]) ).
cnf(refute_0_323,plain,
leq(X_18,multiplication(X_18,addition(star(zero),X_150))) = true,
inference(subst,[],[refute_0_322:[bind(X_49,$fot(X_150)),bind(X_81,$fot(X_18))]]) ).
cnf(refute_0_324,plain,
( ifeq2(leq(X_18,multiplication(X_18,addition(star(zero),X_150))),true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) != multiplication(X_18,addition(star(zero),X_150))
| leq(X_18,multiplication(X_18,addition(star(zero),X_150))) != true
| ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) = multiplication(X_18,addition(star(zero),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(X_18,multiplication(X_18,addition(star(zero),X_150))),true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))),multiplication(X_18,addition(star(zero),X_150))) ),[0,0],$fot(true)]]) ).
cnf(refute_0_325,plain,
( ifeq2(leq(X_18,multiplication(X_18,addition(star(zero),X_150))),true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) != multiplication(X_18,addition(star(zero),X_150))
| ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) = multiplication(X_18,addition(star(zero),X_150)) ),
inference(resolve,[$cnf( $equal(leq(X_18,multiplication(X_18,addition(star(zero),X_150))),true) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) = multiplication(X_18,addition(star(zero),X_150)),
inference(resolve,[$cnf( $equal(ifeq2(leq(X_18,multiplication(X_18,addition(star(zero),X_150))),true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))),multiplication(X_18,addition(star(zero),X_150))) )],[refute_0_270,refute_0_325]) ).
cnf(refute_0_327,plain,
addition(multiplication(X_18,addition(star(zero),X_150)),X_18) = addition(X_18,multiplication(X_18,addition(star(zero),X_150))),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_18)),bind(B,$fot(multiplication(X_18,addition(star(zero),X_150))))]]) ).
cnf(refute_0_328,plain,
ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) = addition(multiplication(X_18,addition(star(zero),X_150)),X_18),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(multiplication(X_18,addition(star(zero),X_150)),X_18))),bind(C,$fot(multiplication(X_18,addition(star(zero),X_150))))]]) ).
cnf(refute_0_329,plain,
( addition(multiplication(X_18,addition(star(zero),X_150)),X_18) != addition(X_18,multiplication(X_18,addition(star(zero),X_150)))
| ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) != addition(multiplication(X_18,addition(star(zero),X_150)),X_18)
| ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,addition(star(zero),X_150))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))))),bind(Y,$fot(addition(multiplication(X_18,addition(star(zero),X_150)),X_18))),bind(Z,$fot(addition(X_18,multiplication(X_18,addition(star(zero),X_150)))))]]) ).
cnf(refute_0_330,plain,
( addition(multiplication(X_18,addition(star(zero),X_150)),X_18) != addition(X_18,multiplication(X_18,addition(star(zero),X_150)))
| ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,addition(star(zero),X_150))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))),addition(multiplication(X_18,addition(star(zero),X_150)),X_18)) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,addition(star(zero),X_150))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_18,addition(star(zero),X_150)),X_18),addition(X_18,multiplication(X_18,addition(star(zero),X_150)))) )],[refute_0_327,refute_0_330]) ).
cnf(refute_0_332,plain,
( ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) != addition(X_18,multiplication(X_18,addition(star(zero),X_150)))
| ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) != multiplication(X_18,addition(star(zero),X_150))
| addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = multiplication(X_18,addition(star(zero),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))),multiplication(X_18,addition(star(zero),X_150))) ),[0],$fot(addition(X_18,multiplication(X_18,addition(star(zero),X_150))))]]) ).
cnf(refute_0_333,plain,
( ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))) != multiplication(X_18,addition(star(zero),X_150))
| addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = multiplication(X_18,addition(star(zero),X_150)) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))),addition(X_18,multiplication(X_18,addition(star(zero),X_150)))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = multiplication(X_18,addition(star(zero),X_150)),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(multiplication(X_18,addition(star(zero),X_150)),X_18),multiplication(X_18,addition(star(zero),X_150))),multiplication(X_18,addition(star(zero),X_150))) )],[refute_0_326,refute_0_333]) ).
cnf(refute_0_335,plain,
addition(X_47,addition(X_47,multiplication(X_47,X_74))) = addition(X_47,multiplication(X_47,X_74)),
inference(subst,[],[refute_0_70:[bind(X_48,$fot(multiplication(X_47,X_74)))]]) ).
cnf(refute_0_336,plain,
multiplication(X_47,addition(one,X_74)) = addition(X_47,multiplication(X_47,X_74)),
inference(subst,[],[refute_0_165:[bind(X_68,$fot(X_47)),bind(X_70,$fot(X_74))]]) ).
cnf(refute_0_337,plain,
( multiplication(X_47,addition(one,X_74)) != addition(X_47,multiplication(X_47,X_74))
| addition(X_47,multiplication(X_47,X_74)) = multiplication(X_47,addition(one,X_74)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(X_47,addition(one,X_74)))),bind(Y,$fot(addition(X_47,multiplication(X_47,X_74))))]]) ).
cnf(refute_0_338,plain,
addition(X_47,multiplication(X_47,X_74)) = multiplication(X_47,addition(one,X_74)),
inference(resolve,[$cnf( $equal(multiplication(X_47,addition(one,X_74)),addition(X_47,multiplication(X_47,X_74))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
( addition(X_47,addition(X_47,multiplication(X_47,X_74))) != addition(X_47,multiplication(X_47,X_74))
| addition(X_47,multiplication(X_47,X_74)) != multiplication(X_47,addition(one,X_74))
| addition(X_47,multiplication(X_47,addition(one,X_74))) = addition(X_47,multiplication(X_47,X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_47,addition(X_47,multiplication(X_47,X_74))),addition(X_47,multiplication(X_47,X_74))) ),[0,1],$fot(multiplication(X_47,addition(one,X_74)))]]) ).
cnf(refute_0_340,plain,
( addition(X_47,addition(X_47,multiplication(X_47,X_74))) != addition(X_47,multiplication(X_47,X_74))
| addition(X_47,multiplication(X_47,addition(one,X_74))) = addition(X_47,multiplication(X_47,X_74)) ),
inference(resolve,[$cnf( $equal(addition(X_47,multiplication(X_47,X_74)),multiplication(X_47,addition(one,X_74))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
addition(X_47,multiplication(X_47,addition(one,X_74))) = addition(X_47,multiplication(X_47,X_74)),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_47,multiplication(X_47,X_74))),addition(X_47,multiplication(X_47,X_74))) )],[refute_0_335,refute_0_340]) ).
cnf(refute_0_342,plain,
addition(X_18,multiplication(X_18,addition(one,X_150))) = addition(X_18,multiplication(X_18,X_150)),
inference(subst,[],[refute_0_341:[bind(X_47,$fot(X_18)),bind(X_74,$fot(X_150))]]) ).
cnf(refute_0_343,plain,
ifeq2(leq(star(zero),one),true,addition(one,star(zero)),one) = one,
inference(subst,[],[refute_0_269:[bind(X_18,$fot(star(zero))),bind(X_19,$fot(one))]]) ).
cnf(refute_0_344,plain,
ifeq(leq(addition(multiplication(zero,X_91),X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = true,
inference(subst,[],[star_induction_left:[bind(A,$fot(zero)),bind(B,$fot(X_91)),bind(C,$fot(X_92))]]) ).
cnf(refute_0_345,plain,
multiplication(zero,X_91) = zero,
inference(subst,[],[left_annihilation:[bind(A,$fot(X_91))]]) ).
cnf(refute_0_346,plain,
( ifeq(leq(addition(multiplication(zero,X_91),X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) != true
| multiplication(zero,X_91) != zero
| ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(zero,X_91),X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true),true) ),[0,0,0,0],$fot(zero)]]) ).
cnf(refute_0_347,plain,
( ifeq(leq(addition(multiplication(zero,X_91),X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) != true
| ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(zero,X_91),zero) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(zero,X_91),X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true),true) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[additive_commutativity:[bind(B,$fot(zero))]]) ).
cnf(refute_0_350,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_351,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[additive_identity,refute_0_351]) ).
cnf(refute_0_353,plain,
addition(zero,X_92) = X_92,
inference(subst,[],[refute_0_352:[bind(A,$fot(X_92))]]) ).
cnf(refute_0_354,plain,
leq(addition(zero,X_92),X_91) = leq(addition(zero,X_92),X_91),
introduced(tautology,[refl,[$fot(leq(addition(zero,X_92),X_91))]]) ).
cnf(refute_0_355,plain,
( addition(zero,X_92) != X_92
| leq(addition(zero,X_92),X_91) != leq(addition(zero,X_92),X_91)
| leq(addition(zero,X_92),X_91) = leq(X_92,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(zero,X_92),X_91),leq(addition(zero,X_92),X_91)) ),[1,0],$fot(X_92)]]) ).
cnf(refute_0_356,plain,
( addition(zero,X_92) != X_92
| leq(addition(zero,X_92),X_91) = leq(X_92,X_91) ),
inference(resolve,[$cnf( $equal(leq(addition(zero,X_92),X_91),leq(addition(zero,X_92),X_91)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
leq(addition(zero,X_92),X_91) = leq(X_92,X_91),
inference(resolve,[$cnf( $equal(addition(zero,X_92),X_92) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true),
introduced(tautology,[refl,[$fot(ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true))]]) ).
cnf(refute_0_359,plain,
( ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) != ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true)
| leq(addition(zero,X_92),X_91) != leq(X_92,X_91)
| ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true),ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true)) ),[1,0],$fot(leq(X_92,X_91))]]) ).
cnf(refute_0_360,plain,
( leq(addition(zero,X_92),X_91) != leq(X_92,X_91)
| ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true),ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true)) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true),
inference(resolve,[$cnf( $equal(leq(addition(zero,X_92),X_91),leq(X_92,X_91)) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
( ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) != ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true)
| ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) != true
| ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true),true) ),[0],$fot(ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true))]]) ).
cnf(refute_0_363,plain,
( ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true) != true
| ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true),ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
ifeq(leq(X_92,X_91),true,leq(multiplication(star(zero),X_92),X_91),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(zero,X_92),X_91),true,leq(multiplication(star(zero),X_92),X_91),true),true) )],[refute_0_348,refute_0_363]) ).
cnf(refute_0_365,plain,
ifeq(leq(X_155,X_155),true,leq(multiplication(star(zero),X_155),X_155),true) = true,
inference(subst,[],[refute_0_364:[bind(X_91,$fot(X_155)),bind(X_92,$fot(X_155))]]) ).
cnf(refute_0_366,plain,
leq(X_155,X_155) = true,
inference(subst,[],[refute_0_186:[bind(X_26,$fot(X_155))]]) ).
cnf(refute_0_367,plain,
( ifeq(leq(X_155,X_155),true,leq(multiplication(star(zero),X_155),X_155),true) != true
| leq(X_155,X_155) != true
| ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(X_155,X_155),true,leq(multiplication(star(zero),X_155),X_155),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_368,plain,
( ifeq(leq(X_155,X_155),true,leq(multiplication(star(zero),X_155),X_155),true) != true
| ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true) = true ),
inference(resolve,[$cnf( $equal(leq(X_155,X_155),true) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(X_155,X_155),true,leq(multiplication(star(zero),X_155),X_155),true),true) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true) = leq(multiplication(star(zero),X_155),X_155),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(multiplication(star(zero),X_155),X_155))),bind(C,$fot(true))]]) ).
cnf(refute_0_371,plain,
( ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true) != leq(multiplication(star(zero),X_155),X_155)
| ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true) != true
| leq(multiplication(star(zero),X_155),X_155) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true),true) ),[0],$fot(leq(multiplication(star(zero),X_155),X_155))]]) ).
cnf(refute_0_372,plain,
( ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true) != true
| leq(multiplication(star(zero),X_155),X_155) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true),leq(multiplication(star(zero),X_155),X_155)) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
leq(multiplication(star(zero),X_155),X_155) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(zero),X_155),X_155),true),true) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
leq(multiplication(star(zero),one),one) = true,
inference(subst,[],[refute_0_373:[bind(X_155,$fot(one))]]) ).
cnf(refute_0_375,plain,
multiplication(star(zero),one) = star(zero),
inference(subst,[],[multiplicative_right_identity:[bind(A,$fot(star(zero)))]]) ).
cnf(refute_0_376,plain,
( leq(multiplication(star(zero),one),one) != true
| multiplication(star(zero),one) != star(zero)
| leq(star(zero),one) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(star(zero),one),one),true) ),[0,0],$fot(star(zero))]]) ).
cnf(refute_0_377,plain,
( leq(multiplication(star(zero),one),one) != true
| leq(star(zero),one) = true ),
inference(resolve,[$cnf( $equal(multiplication(star(zero),one),star(zero)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
leq(star(zero),one) = true,
inference(resolve,[$cnf( $equal(leq(multiplication(star(zero),one),one),true) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( ifeq2(leq(star(zero),one),true,addition(one,star(zero)),one) != one
| leq(star(zero),one) != true
| ifeq2(true,true,addition(one,star(zero)),one) = one ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(star(zero),one),true,addition(one,star(zero)),one),one) ),[0,0],$fot(true)]]) ).
cnf(refute_0_380,plain,
( ifeq2(leq(star(zero),one),true,addition(one,star(zero)),one) != one
| ifeq2(true,true,addition(one,star(zero)),one) = one ),
inference(resolve,[$cnf( $equal(leq(star(zero),one),true) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
ifeq2(true,true,addition(one,star(zero)),one) = one,
inference(resolve,[$cnf( $equal(ifeq2(leq(star(zero),one),true,addition(one,star(zero)),one),one) )],[refute_0_343,refute_0_380]) ).
cnf(refute_0_382,plain,
ifeq2(true,true,addition(one,star(zero)),one) = addition(one,star(zero)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(one,star(zero)))),bind(C,$fot(one))]]) ).
cnf(refute_0_383,plain,
( addition(one,star(zero)) != star(zero)
| ifeq2(true,true,addition(one,star(zero)),one) != addition(one,star(zero))
| ifeq2(true,true,addition(one,star(zero)),one) = star(zero) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(one,star(zero)),one))),bind(Y,$fot(addition(one,star(zero)))),bind(Z,$fot(star(zero)))]]) ).
cnf(refute_0_384,plain,
( addition(one,star(zero)) != star(zero)
| ifeq2(true,true,addition(one,star(zero)),one) = star(zero) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(one,star(zero)),one),addition(one,star(zero))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
ifeq2(true,true,addition(one,star(zero)),one) = star(zero),
inference(resolve,[$cnf( $equal(addition(one,star(zero)),star(zero)) )],[refute_0_309,refute_0_384]) ).
cnf(refute_0_386,plain,
( ifeq2(true,true,addition(one,star(zero)),one) != one
| ifeq2(true,true,addition(one,star(zero)),one) != star(zero)
| star(zero) = one ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(one,star(zero)),one),one) ),[0],$fot(star(zero))]]) ).
cnf(refute_0_387,plain,
( ifeq2(true,true,addition(one,star(zero)),one) != one
| star(zero) = one ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(one,star(zero)),one),star(zero)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
star(zero) = one,
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(one,star(zero)),one),one) )],[refute_0_381,refute_0_387]) ).
cnf(refute_0_389,plain,
addition(star(zero),X_150) = addition(star(zero),X_150),
introduced(tautology,[refl,[$fot(addition(star(zero),X_150))]]) ).
cnf(refute_0_390,plain,
( addition(star(zero),X_150) != addition(star(zero),X_150)
| star(zero) != one
| addition(star(zero),X_150) = addition(one,X_150) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(zero),X_150),addition(star(zero),X_150)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_391,plain,
( star(zero) != one
| addition(star(zero),X_150) = addition(one,X_150) ),
inference(resolve,[$cnf( $equal(addition(star(zero),X_150),addition(star(zero),X_150)) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
addition(star(zero),X_150) = addition(one,X_150),
inference(resolve,[$cnf( $equal(star(zero),one) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
multiplication(X_18,addition(star(zero),X_150)) = multiplication(X_18,addition(star(zero),X_150)),
introduced(tautology,[refl,[$fot(multiplication(X_18,addition(star(zero),X_150)))]]) ).
cnf(refute_0_394,plain,
( addition(star(zero),X_150) != addition(one,X_150)
| multiplication(X_18,addition(star(zero),X_150)) != multiplication(X_18,addition(star(zero),X_150))
| multiplication(X_18,addition(star(zero),X_150)) = multiplication(X_18,addition(one,X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_18,addition(star(zero),X_150)),multiplication(X_18,addition(star(zero),X_150))) ),[1,1],$fot(addition(one,X_150))]]) ).
cnf(refute_0_395,plain,
( addition(star(zero),X_150) != addition(one,X_150)
| multiplication(X_18,addition(star(zero),X_150)) = multiplication(X_18,addition(one,X_150)) ),
inference(resolve,[$cnf( $equal(multiplication(X_18,addition(star(zero),X_150)),multiplication(X_18,addition(star(zero),X_150))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
multiplication(X_18,addition(star(zero),X_150)) = multiplication(X_18,addition(one,X_150)),
inference(resolve,[$cnf( $equal(addition(star(zero),X_150),addition(one,X_150)) )],[refute_0_392,refute_0_395]) ).
cnf(refute_0_397,plain,
addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,addition(star(zero),X_150))),
introduced(tautology,[refl,[$fot(addition(X_18,multiplication(X_18,addition(star(zero),X_150))))]]) ).
cnf(refute_0_398,plain,
( addition(X_18,multiplication(X_18,addition(star(zero),X_150))) != addition(X_18,multiplication(X_18,addition(star(zero),X_150)))
| multiplication(X_18,addition(star(zero),X_150)) != multiplication(X_18,addition(one,X_150))
| addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,addition(one,X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_18,multiplication(X_18,addition(star(zero),X_150))),addition(X_18,multiplication(X_18,addition(star(zero),X_150)))) ),[1,1],$fot(multiplication(X_18,addition(one,X_150)))]]) ).
cnf(refute_0_399,plain,
( multiplication(X_18,addition(star(zero),X_150)) != multiplication(X_18,addition(one,X_150))
| addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,addition(one,X_150))) ),
inference(resolve,[$cnf( $equal(addition(X_18,multiplication(X_18,addition(star(zero),X_150))),addition(X_18,multiplication(X_18,addition(star(zero),X_150)))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,addition(one,X_150))),
inference(resolve,[$cnf( $equal(multiplication(X_18,addition(star(zero),X_150)),multiplication(X_18,addition(one,X_150))) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
( addition(X_18,multiplication(X_18,addition(one,X_150))) != addition(X_18,multiplication(X_18,X_150))
| addition(X_18,multiplication(X_18,addition(star(zero),X_150))) != addition(X_18,multiplication(X_18,addition(one,X_150)))
| addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,X_150)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(X_18,multiplication(X_18,addition(star(zero),X_150))))),bind(Y,$fot(addition(X_18,multiplication(X_18,addition(one,X_150))))),bind(Z,$fot(addition(X_18,multiplication(X_18,X_150))))]]) ).
cnf(refute_0_402,plain,
( addition(X_18,multiplication(X_18,addition(one,X_150))) != addition(X_18,multiplication(X_18,X_150))
| addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,X_150)) ),
inference(resolve,[$cnf( $equal(addition(X_18,multiplication(X_18,addition(star(zero),X_150))),addition(X_18,multiplication(X_18,addition(one,X_150)))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
addition(X_18,multiplication(X_18,addition(star(zero),X_150))) = addition(X_18,multiplication(X_18,X_150)),
inference(resolve,[$cnf( $equal(addition(X_18,multiplication(X_18,addition(one,X_150))),addition(X_18,multiplication(X_18,X_150))) )],[refute_0_342,refute_0_402]) ).
cnf(refute_0_404,plain,
( addition(X_18,multiplication(X_18,addition(star(zero),X_150))) != addition(X_18,multiplication(X_18,X_150))
| addition(X_18,multiplication(X_18,addition(star(zero),X_150))) != multiplication(X_18,addition(star(zero),X_150))
| addition(X_18,multiplication(X_18,X_150)) = multiplication(X_18,addition(star(zero),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_18,multiplication(X_18,addition(star(zero),X_150))),multiplication(X_18,addition(star(zero),X_150))) ),[0],$fot(addition(X_18,multiplication(X_18,X_150)))]]) ).
cnf(refute_0_405,plain,
( addition(X_18,multiplication(X_18,addition(star(zero),X_150))) != multiplication(X_18,addition(star(zero),X_150))
| addition(X_18,multiplication(X_18,X_150)) = multiplication(X_18,addition(star(zero),X_150)) ),
inference(resolve,[$cnf( $equal(addition(X_18,multiplication(X_18,addition(star(zero),X_150))),addition(X_18,multiplication(X_18,X_150))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
( addition(X_18,multiplication(X_18,X_150)) != multiplication(X_18,addition(star(zero),X_150))
| multiplication(X_18,addition(star(zero),X_150)) != multiplication(X_18,addition(one,X_150))
| addition(X_18,multiplication(X_18,X_150)) = multiplication(X_18,addition(one,X_150)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_18,multiplication(X_18,X_150)),multiplication(X_18,addition(one,X_150))) ),[0],$fot(multiplication(X_18,addition(star(zero),X_150)))]]) ).
cnf(refute_0_407,plain,
( addition(X_18,multiplication(X_18,X_150)) != multiplication(X_18,addition(star(zero),X_150))
| addition(X_18,multiplication(X_18,X_150)) = multiplication(X_18,addition(one,X_150)) ),
inference(resolve,[$cnf( $equal(multiplication(X_18,addition(star(zero),X_150)),multiplication(X_18,addition(one,X_150))) )],[refute_0_396,refute_0_406]) ).
cnf(refute_0_408,plain,
( addition(X_18,multiplication(X_18,addition(star(zero),X_150))) != multiplication(X_18,addition(star(zero),X_150))
| addition(X_18,multiplication(X_18,X_150)) = multiplication(X_18,addition(one,X_150)) ),
inference(resolve,[$cnf( $equal(addition(X_18,multiplication(X_18,X_150)),multiplication(X_18,addition(star(zero),X_150))) )],[refute_0_405,refute_0_407]) ).
cnf(refute_0_409,plain,
addition(X_18,multiplication(X_18,X_150)) = multiplication(X_18,addition(one,X_150)),
inference(resolve,[$cnf( $equal(addition(X_18,multiplication(X_18,addition(star(zero),X_150))),multiplication(X_18,addition(star(zero),X_150))) )],[refute_0_334,refute_0_408]) ).
cnf(refute_0_410,plain,
addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C)) = multiplication(star(addition(X_365,X_364)),addition(one,C)),
inference(subst,[],[refute_0_409:[bind(X_150,$fot(C)),bind(X_18,$fot(star(addition(X_365,X_364))))]]) ).
cnf(refute_0_411,plain,
( addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C)) != multiplication(star(addition(X_365,X_364)),addition(one,C))
| multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) != addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))
| multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) = multiplication(star(addition(X_365,X_364)),addition(one,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))),addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))) ),[1],$fot(multiplication(star(addition(X_365,X_364)),addition(one,C)))]]) ).
cnf(refute_0_412,plain,
( multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) != addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))
| multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) = multiplication(star(addition(X_365,X_364)),addition(one,C)) ),
inference(resolve,[$cnf( $equal(addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C)),multiplication(star(addition(X_365,X_364)),addition(one,C))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
( multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)) != addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))
| multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) = multiplication(star(addition(X_365,X_364)),addition(one,C)) ),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))),addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))) )],[refute_0_262,refute_0_412]) ).
cnf(refute_0_414,plain,
multiplication(star(addition(X_365,X_364)),addition(one,addition(X_364,addition(X_365,C)))) = multiplication(star(addition(X_365,X_364)),addition(one,C)),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_365,X_364)),addition(addition(one,addition(X_364,X_365)),C)),addition(star(addition(X_365,X_364)),multiplication(star(addition(X_365,X_364)),C))) )],[refute_0_247,refute_0_413]) ).
cnf(refute_0_415,plain,
multiplication(star(addition(X_47,X_365)),addition(one,addition(X_365,addition(X_47,X_365)))) = multiplication(star(addition(X_47,X_365)),addition(one,X_365)),
inference(subst,[],[refute_0_414:[bind(C,$fot(X_365)),bind(X_364,$fot(X_365)),bind(X_365,$fot(X_47))]]) ).
cnf(refute_0_416,plain,
multiplication(A,addition(B,addition(X_169,X_168))) = addition(multiplication(A,B),multiplication(A,addition(X_169,X_168))),
inference(subst,[],[right_distributivity:[bind(C,$fot(addition(X_169,X_168)))]]) ).
cnf(refute_0_417,plain,
addition(B,addition(X_169,X_168)) = addition(B,addition(X_168,X_169)),
inference(subst,[],[refute_0_40:[bind(X_46,$fot(B)),bind(X_47,$fot(X_168)),bind(X_48,$fot(X_169))]]) ).
cnf(refute_0_418,plain,
( addition(B,addition(X_169,X_168)) != addition(B,addition(X_168,X_169))
| multiplication(A,addition(B,addition(X_169,X_168))) != addition(multiplication(A,B),multiplication(A,addition(X_169,X_168)))
| multiplication(A,addition(B,addition(X_168,X_169))) = addition(multiplication(A,B),multiplication(A,addition(X_169,X_168))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(B,addition(X_169,X_168))),addition(multiplication(A,B),multiplication(A,addition(X_169,X_168)))) ),[0,1],$fot(addition(B,addition(X_168,X_169)))]]) ).
cnf(refute_0_419,plain,
( multiplication(A,addition(B,addition(X_169,X_168))) != addition(multiplication(A,B),multiplication(A,addition(X_169,X_168)))
| multiplication(A,addition(B,addition(X_168,X_169))) = addition(multiplication(A,B),multiplication(A,addition(X_169,X_168))) ),
inference(resolve,[$cnf( $equal(addition(B,addition(X_169,X_168)),addition(B,addition(X_168,X_169))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiplication(A,addition(B,addition(X_168,X_169))) = addition(multiplication(A,B),multiplication(A,addition(X_169,X_168))),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,addition(X_169,X_168))),addition(multiplication(A,B),multiplication(A,addition(X_169,X_168)))) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_422,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[right_distributivity,refute_0_421]) ).
cnf(refute_0_423,plain,
addition(multiplication(A,B),multiplication(A,addition(X_169,X_168))) = multiplication(A,addition(B,addition(X_169,X_168))),
inference(subst,[],[refute_0_422:[bind(C,$fot(addition(X_169,X_168)))]]) ).
cnf(refute_0_424,plain,
( addition(multiplication(A,B),multiplication(A,addition(X_169,X_168))) != multiplication(A,addition(B,addition(X_169,X_168)))
| multiplication(A,addition(B,addition(X_168,X_169))) != addition(multiplication(A,B),multiplication(A,addition(X_169,X_168)))
| multiplication(A,addition(B,addition(X_168,X_169))) = multiplication(A,addition(B,addition(X_169,X_168))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(B,addition(X_168,X_169))),addition(multiplication(A,B),multiplication(A,addition(X_169,X_168)))) ),[1],$fot(multiplication(A,addition(B,addition(X_169,X_168))))]]) ).
cnf(refute_0_425,plain,
( multiplication(A,addition(B,addition(X_168,X_169))) != addition(multiplication(A,B),multiplication(A,addition(X_169,X_168)))
| multiplication(A,addition(B,addition(X_168,X_169))) = multiplication(A,addition(B,addition(X_169,X_168))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,addition(X_169,X_168))),multiplication(A,addition(B,addition(X_169,X_168)))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
multiplication(A,addition(B,addition(X_168,X_169))) = multiplication(A,addition(B,addition(X_169,X_168))),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,addition(X_168,X_169))),addition(multiplication(A,B),multiplication(A,addition(X_169,X_168)))) )],[refute_0_420,refute_0_425]) ).
cnf(refute_0_427,plain,
( multiplication(A,addition(B,addition(X_168,X_169))) != multiplication(A,addition(B,addition(X_169,X_168)))
| multiplication(A,addition(B,addition(X_169,X_168))) = multiplication(A,addition(B,addition(X_168,X_169))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(A,addition(B,addition(X_168,X_169))))),bind(Y,$fot(multiplication(A,addition(B,addition(X_169,X_168)))))]]) ).
cnf(refute_0_428,plain,
multiplication(A,addition(B,addition(X_169,X_168))) = multiplication(A,addition(B,addition(X_168,X_169))),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,addition(X_168,X_169))),multiplication(A,addition(B,addition(X_169,X_168)))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) = multiplication(star(addition(X_47,X_365)),addition(one,addition(X_365,addition(X_47,X_365)))),
inference(subst,[],[refute_0_428:[bind(A,$fot(star(addition(X_47,X_365)))),bind(B,$fot(one)),bind(X_168,$fot(X_365)),bind(X_169,$fot(addition(X_47,X_365)))]]) ).
cnf(refute_0_430,plain,
( multiplication(star(addition(X_47,X_365)),addition(one,addition(X_365,addition(X_47,X_365)))) != multiplication(star(addition(X_47,X_365)),addition(one,X_365))
| multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) != multiplication(star(addition(X_47,X_365)),addition(one,addition(X_365,addition(X_47,X_365))))
| multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) = multiplication(star(addition(X_47,X_365)),addition(one,X_365)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))))),bind(Y,$fot(multiplication(star(addition(X_47,X_365)),addition(one,addition(X_365,addition(X_47,X_365)))))),bind(Z,$fot(multiplication(star(addition(X_47,X_365)),addition(one,X_365))))]]) ).
cnf(refute_0_431,plain,
( multiplication(star(addition(X_47,X_365)),addition(one,addition(X_365,addition(X_47,X_365)))) != multiplication(star(addition(X_47,X_365)),addition(one,X_365))
| multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) = multiplication(star(addition(X_47,X_365)),addition(one,X_365)) ),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))),multiplication(star(addition(X_47,X_365)),addition(one,addition(X_365,addition(X_47,X_365))))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) = multiplication(star(addition(X_47,X_365)),addition(one,X_365)),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_47,X_365)),addition(one,addition(X_365,addition(X_47,X_365)))),multiplication(star(addition(X_47,X_365)),addition(one,X_365))) )],[refute_0_415,refute_0_431]) ).
cnf(refute_0_433,plain,
( multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))) != multiplication(star(addition(X_47,X_365)),addition(one,X_365))
| star(addition(X_47,X_365)) != multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))
| star(addition(X_47,X_365)) = multiplication(star(addition(X_47,X_365)),addition(one,X_365)) ),
introduced(tautology,[equality,[$cnf( $equal(star(addition(X_47,X_365)),multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))) ),[1],$fot(multiplication(star(addition(X_47,X_365)),addition(one,X_365)))]]) ).
cnf(refute_0_434,plain,
( star(addition(X_47,X_365)) != multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))
| star(addition(X_47,X_365)) = multiplication(star(addition(X_47,X_365)),addition(one,X_365)) ),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365))),multiplication(star(addition(X_47,X_365)),addition(one,X_365))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
( star(addition(X_365,addition(X_47,X_365))) != multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))
| star(addition(X_47,X_365)) = multiplication(star(addition(X_47,X_365)),addition(one,X_365)) ),
inference(resolve,[$cnf( $equal(star(addition(X_47,X_365)),multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))) )],[refute_0_240,refute_0_434]) ).
cnf(refute_0_436,plain,
star(addition(X_47,X_365)) = multiplication(star(addition(X_47,X_365)),addition(one,X_365)),
inference(resolve,[$cnf( $equal(star(addition(X_365,addition(X_47,X_365))),multiplication(star(addition(X_47,X_365)),addition(one,addition(addition(X_47,X_365),X_365)))) )],[refute_0_234,refute_0_435]) ).
cnf(refute_0_437,plain,
star(addition(X_685,X_684)) = multiplication(star(addition(X_685,X_684)),addition(one,X_684)),
inference(subst,[],[refute_0_436:[bind(X_365,$fot(X_684)),bind(X_47,$fot(X_685))]]) ).
cnf(refute_0_438,plain,
( star(addition(X_685,X_684)) != multiplication(star(addition(X_685,X_684)),addition(one,X_684))
| multiplication(star(addition(X_685,X_684)),addition(one,X_684)) = star(addition(X_685,X_684)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(star(addition(X_685,X_684)))),bind(Y,$fot(multiplication(star(addition(X_685,X_684)),addition(one,X_684))))]]) ).
cnf(refute_0_439,plain,
multiplication(star(addition(X_685,X_684)),addition(one,X_684)) = star(addition(X_685,X_684)),
inference(resolve,[$cnf( $equal(star(addition(X_685,X_684)),multiplication(star(addition(X_685,X_684)),addition(one,X_684))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
( ifeq(leq(addition(one,multiplication(star(addition(X_685,X_684)),addition(one,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != true
| multiplication(star(addition(X_685,X_684)),addition(one,X_684)) != star(addition(X_685,X_684))
| ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,multiplication(star(addition(X_685,X_684)),addition(one,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),true) ),[0,0,0,1],$fot(star(addition(X_685,X_684)))]]) ).
cnf(refute_0_441,plain,
( ifeq(leq(addition(one,multiplication(star(addition(X_685,X_684)),addition(one,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != true
| ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_685,X_684)),addition(one,X_684)),star(addition(X_685,X_684))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,multiplication(star(addition(X_685,X_684)),addition(one,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),true) )],[refute_0_222,refute_0_441]) ).
cnf(refute_0_443,plain,
ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = leq(star(addition(one,X_684)),star(addition(X_685,X_684))),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(star(addition(one,X_684)),star(addition(X_685,X_684))))),bind(C,$fot(true))]]) ).
cnf(refute_0_444,plain,
leq(star(addition(X_685,X_684)),star(addition(X_685,X_684))) = true,
inference(subst,[],[refute_0_186:[bind(X_26,$fot(star(addition(X_685,X_684))))]]) ).
cnf(refute_0_445,plain,
addition(one,star(addition(X_685,X_684))) = star(addition(X_685,X_684)),
inference(subst,[],[refute_0_196:[bind(X_22,$fot(addition(X_685,X_684)))]]) ).
cnf(refute_0_446,plain,
leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) = leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),
introduced(tautology,[refl,[$fot(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))))]]) ).
cnf(refute_0_447,plain,
( addition(one,star(addition(X_685,X_684))) != star(addition(X_685,X_684))
| leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) != leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684)))
| leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) = leq(star(addition(X_685,X_684)),star(addition(X_685,X_684))) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684)))) ),[1,0],$fot(star(addition(X_685,X_684)))]]) ).
cnf(refute_0_448,plain,
( addition(one,star(addition(X_685,X_684))) != star(addition(X_685,X_684))
| leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) = leq(star(addition(X_685,X_684)),star(addition(X_685,X_684))) ),
inference(resolve,[$cnf( $equal(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684)))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) = leq(star(addition(X_685,X_684)),star(addition(X_685,X_684))),
inference(resolve,[$cnf( $equal(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) != leq(star(addition(X_685,X_684)),star(addition(X_685,X_684)))
| leq(star(addition(X_685,X_684)),star(addition(X_685,X_684))) != true
| leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) = true ),
inference(subst,[],[refute_0_55:[bind(X,$fot(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))))),bind(Y,$fot(leq(star(addition(X_685,X_684)),star(addition(X_685,X_684))))),bind(Z,$fot(true))]]) ).
cnf(refute_0_451,plain,
( leq(star(addition(X_685,X_684)),star(addition(X_685,X_684))) != true
| leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) = true ),
inference(resolve,[$cnf( $equal(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),leq(star(addition(X_685,X_684)),star(addition(X_685,X_684)))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) = true,
inference(resolve,[$cnf( $equal(leq(star(addition(X_685,X_684)),star(addition(X_685,X_684))),true) )],[refute_0_444,refute_0_451]) ).
cnf(refute_0_453,plain,
ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),
introduced(tautology,[refl,[$fot(ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true))]]) ).
cnf(refute_0_454,plain,
( ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true)
| leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) != true
| ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_455,plain,
( leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))) != true
| ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),
inference(resolve,[$cnf( $equal(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
( ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true)
| ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != leq(star(addition(one,X_684)),star(addition(X_685,X_684)))
| ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = leq(star(addition(one,X_684)),star(addition(X_685,X_684))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true))),bind(Y,$fot(ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true))),bind(Z,$fot(leq(star(addition(one,X_684)),star(addition(X_685,X_684)))))]]) ).
cnf(refute_0_458,plain,
( ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != leq(star(addition(one,X_684)),star(addition(X_685,X_684)))
| ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = leq(star(addition(one,X_684)),star(addition(X_685,X_684))) ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true)) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) = leq(star(addition(one,X_684)),star(addition(X_685,X_684))),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),leq(star(addition(one,X_684)),star(addition(X_685,X_684)))) )],[refute_0_443,refute_0_458]) ).
cnf(refute_0_460,plain,
( ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != leq(star(addition(one,X_684)),star(addition(X_685,X_684)))
| ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != true
| leq(star(addition(one,X_684)),star(addition(X_685,X_684))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),true) ),[0],$fot(leq(star(addition(one,X_684)),star(addition(X_685,X_684))))]]) ).
cnf(refute_0_461,plain,
( ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) != true
| leq(star(addition(one,X_684)),star(addition(X_685,X_684))) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),leq(star(addition(one,X_684)),star(addition(X_685,X_684)))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
leq(star(addition(one,X_684)),star(addition(X_685,X_684))) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,star(addition(X_685,X_684))),star(addition(X_685,X_684))),true,leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true),true) )],[refute_0_442,refute_0_461]) ).
cnf(refute_0_463,plain,
ifeq2(leq(addition(X_57,X_19),X_19),true,addition(X_19,addition(X_57,X_19)),X_19) = X_19,
inference(subst,[],[refute_0_269:[bind(X_18,$fot(addition(X_57,X_19)))]]) ).
cnf(refute_0_464,plain,
addition(X_57,X_19) = addition(X_19,addition(X_57,X_19)),
inference(subst,[],[refute_0_77:[bind(X_47,$fot(X_57)),bind(X_48,$fot(X_19))]]) ).
cnf(refute_0_465,plain,
( addition(X_57,X_19) != addition(X_19,addition(X_57,X_19))
| addition(X_19,addition(X_57,X_19)) = addition(X_57,X_19) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_57,X_19))),bind(Y,$fot(addition(X_19,addition(X_57,X_19))))]]) ).
cnf(refute_0_466,plain,
addition(X_19,addition(X_57,X_19)) = addition(X_57,X_19),
inference(resolve,[$cnf( $equal(addition(X_57,X_19),addition(X_19,addition(X_57,X_19))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
( addition(X_19,addition(X_57,X_19)) != addition(X_57,X_19)
| ifeq2(leq(addition(X_57,X_19),X_19),true,addition(X_19,addition(X_57,X_19)),X_19) != X_19
| ifeq2(leq(addition(X_57,X_19),X_19),true,addition(X_57,X_19),X_19) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(X_57,X_19),X_19),true,addition(X_19,addition(X_57,X_19)),X_19),X_19) ),[0,2],$fot(addition(X_57,X_19))]]) ).
cnf(refute_0_468,plain,
( ifeq2(leq(addition(X_57,X_19),X_19),true,addition(X_19,addition(X_57,X_19)),X_19) != X_19
| ifeq2(leq(addition(X_57,X_19),X_19),true,addition(X_57,X_19),X_19) = X_19 ),
inference(resolve,[$cnf( $equal(addition(X_19,addition(X_57,X_19)),addition(X_57,X_19)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
ifeq2(leq(addition(X_57,X_19),X_19),true,addition(X_57,X_19),X_19) = X_19,
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(X_57,X_19),X_19),true,addition(X_19,addition(X_57,X_19)),X_19),X_19) )],[refute_0_463,refute_0_468]) ).
cnf(refute_0_470,plain,
ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) = star(addition(one,X_225)),
inference(subst,[],[refute_0_469:[bind(X_19,$fot(star(addition(one,X_225)))),bind(X_57,$fot(star(X_225)))]]) ).
cnf(refute_0_471,plain,
ifeq2(leq(star(addition(one,X_223)),star(X_223)),true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) = star(X_223),
inference(subst,[],[refute_0_269:[bind(X_18,$fot(star(addition(one,X_223)))),bind(X_19,$fot(star(X_223)))]]) ).
cnf(refute_0_472,plain,
leq(star(addition(one,X_223)),star(X_223)) = true,
inference(subst,[],[refute_0_213:[bind(X_22,$fot(X_223))]]) ).
cnf(refute_0_473,plain,
( ifeq2(leq(star(addition(one,X_223)),star(X_223)),true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) != star(X_223)
| leq(star(addition(one,X_223)),star(X_223)) != true
| ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) = star(X_223) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(star(addition(one,X_223)),star(X_223)),true,addition(star(X_223),star(addition(one,X_223))),star(X_223)),star(X_223)) ),[0,0],$fot(true)]]) ).
cnf(refute_0_474,plain,
( ifeq2(leq(star(addition(one,X_223)),star(X_223)),true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) != star(X_223)
| ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) = star(X_223) ),
inference(resolve,[$cnf( $equal(leq(star(addition(one,X_223)),star(X_223)),true) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) = star(X_223),
inference(resolve,[$cnf( $equal(ifeq2(leq(star(addition(one,X_223)),star(X_223)),true,addition(star(X_223),star(addition(one,X_223))),star(X_223)),star(X_223)) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) = addition(star(X_223),star(addition(one,X_223))),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(star(X_223),star(addition(one,X_223))))),bind(C,$fot(star(X_223)))]]) ).
cnf(refute_0_477,plain,
( ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) != addition(star(X_223),star(addition(one,X_223)))
| ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) != star(X_223)
| addition(star(X_223),star(addition(one,X_223))) = star(X_223) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)),star(X_223)) ),[0],$fot(addition(star(X_223),star(addition(one,X_223))))]]) ).
cnf(refute_0_478,plain,
( ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)) != star(X_223)
| addition(star(X_223),star(addition(one,X_223))) = star(X_223) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)),addition(star(X_223),star(addition(one,X_223)))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
addition(star(X_223),star(addition(one,X_223))) = star(X_223),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_223),star(addition(one,X_223))),star(X_223)),star(X_223)) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
addition(star(X_225),star(addition(one,X_225))) = star(X_225),
inference(subst,[],[refute_0_479:[bind(X_223,$fot(X_225))]]) ).
cnf(refute_0_481,plain,
( addition(star(X_225),star(addition(one,X_225))) != star(X_225)
| ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) != star(addition(one,X_225))
| ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(addition(one,X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),star(addition(one,X_225))) ),[0,2],$fot(star(X_225))]]) ).
cnf(refute_0_482,plain,
( ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) != star(addition(one,X_225))
| ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(addition(one,X_225)) ),
inference(resolve,[$cnf( $equal(addition(star(X_225),star(addition(one,X_225))),star(X_225)) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(addition(one,X_225)),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),star(addition(one,X_225))) )],[refute_0_470,refute_0_482]) ).
cnf(refute_0_484,plain,
leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) = leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),
introduced(tautology,[refl,[$fot(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))))]]) ).
cnf(refute_0_485,plain,
( addition(star(X_225),star(addition(one,X_225))) != star(X_225)
| leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) != leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225)))
| leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) = leq(star(X_225),star(addition(one,X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225)))) ),[1,0],$fot(star(X_225))]]) ).
cnf(refute_0_486,plain,
( addition(star(X_225),star(addition(one,X_225))) != star(X_225)
| leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) = leq(star(X_225),star(addition(one,X_225))) ),
inference(resolve,[$cnf( $equal(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225)))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) = leq(star(X_225),star(addition(one,X_225))),
inference(resolve,[$cnf( $equal(addition(star(X_225),star(addition(one,X_225))),star(X_225)) )],[refute_0_480,refute_0_486]) ).
cnf(refute_0_488,plain,
ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),
introduced(tautology,[refl,[$fot(ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))))]]) ).
cnf(refute_0_489,plain,
( ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225)))
| leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) != leq(star(X_225),star(addition(one,X_225)))
| ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225)))) ),[1,0],$fot(leq(star(X_225),star(addition(one,X_225))))]]) ).
cnf(refute_0_490,plain,
( leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) != leq(star(X_225),star(addition(one,X_225)))
| ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225)))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),
inference(resolve,[$cnf( $equal(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),leq(star(X_225),star(addition(one,X_225)))) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
( ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225)))
| ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != star(addition(one,X_225))
| ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(addition(one,X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) ),[0],$fot(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))))]]) ).
cnf(refute_0_493,plain,
( ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != star(addition(one,X_225))
| ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(addition(one,X_225)) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225)))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(addition(one,X_225)),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(star(X_225),star(addition(one,X_225))),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) )],[refute_0_483,refute_0_493]) ).
cnf(refute_0_495,plain,
ifeq2(true,true,star(X_225),star(addition(one,X_225))) = star(X_225),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(star(X_225))),bind(C,$fot(star(addition(one,X_225))))]]) ).
cnf(refute_0_496,plain,
ifeq(leq(addition(multiplication(X_90,X_91),X_92),X_91),true,leq(multiplication(star(X_90),X_92),X_91),true) = true,
inference(subst,[],[star_induction_left:[bind(A,$fot(X_90)),bind(B,$fot(X_91)),bind(C,$fot(X_92))]]) ).
cnf(refute_0_497,plain,
addition(X_92,multiplication(X_90,X_91)) = addition(multiplication(X_90,X_91),X_92),
inference(subst,[],[additive_commutativity:[bind(A,$fot(X_92)),bind(B,$fot(multiplication(X_90,X_91)))]]) ).
cnf(refute_0_498,plain,
( addition(X_92,multiplication(X_90,X_91)) != addition(multiplication(X_90,X_91),X_92)
| addition(multiplication(X_90,X_91),X_92) = addition(X_92,multiplication(X_90,X_91)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_92,multiplication(X_90,X_91)))),bind(Y,$fot(addition(multiplication(X_90,X_91),X_92)))]]) ).
cnf(refute_0_499,plain,
addition(multiplication(X_90,X_91),X_92) = addition(X_92,multiplication(X_90,X_91)),
inference(resolve,[$cnf( $equal(addition(X_92,multiplication(X_90,X_91)),addition(multiplication(X_90,X_91),X_92)) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
( addition(multiplication(X_90,X_91),X_92) != addition(X_92,multiplication(X_90,X_91))
| ifeq(leq(addition(multiplication(X_90,X_91),X_92),X_91),true,leq(multiplication(star(X_90),X_92),X_91),true) != true
| ifeq(leq(addition(X_92,multiplication(X_90,X_91)),X_91),true,leq(multiplication(star(X_90),X_92),X_91),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(X_90,X_91),X_92),X_91),true,leq(multiplication(star(X_90),X_92),X_91),true),true) ),[0,0,0],$fot(addition(X_92,multiplication(X_90,X_91)))]]) ).
cnf(refute_0_501,plain,
( ifeq(leq(addition(multiplication(X_90,X_91),X_92),X_91),true,leq(multiplication(star(X_90),X_92),X_91),true) != true
| ifeq(leq(addition(X_92,multiplication(X_90,X_91)),X_91),true,leq(multiplication(star(X_90),X_92),X_91),true) = true ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_90,X_91),X_92),addition(X_92,multiplication(X_90,X_91))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
ifeq(leq(addition(X_92,multiplication(X_90,X_91)),X_91),true,leq(multiplication(star(X_90),X_92),X_91),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_90,X_91),X_92),X_91),true,leq(multiplication(star(X_90),X_92),X_91),true),true) )],[refute_0_496,refute_0_501]) ).
cnf(refute_0_503,plain,
ifeq(leq(addition(star(addition(X_90,one)),multiplication(X_90,star(addition(one,X_90)))),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = true,
inference(subst,[],[refute_0_502:[bind(X_91,$fot(star(addition(one,X_90)))),bind(X_92,$fot(star(addition(X_90,one))))]]) ).
cnf(refute_0_504,plain,
ifeq2(leq(multiplication(X_231,star(addition(one,X_231))),star(addition(X_231,one))),true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) = star(addition(X_231,one)),
inference(subst,[],[refute_0_269:[bind(X_18,$fot(multiplication(X_231,star(addition(one,X_231))))),bind(X_19,$fot(star(addition(X_231,one))))]]) ).
cnf(refute_0_505,plain,
leq(multiplication(X_170,X_172),addition(multiplication(X_170,X_172),multiplication(X_171,X_172))) = true,
inference(subst,[],[refute_0_279:[bind(A,$fot(multiplication(X_170,X_172))),bind(X_65,$fot(multiplication(X_171,X_172)))]]) ).
cnf(refute_0_506,plain,
multiplication(addition(X_170,X_171),X_172) = addition(multiplication(X_170,X_172),multiplication(X_171,X_172)),
inference(subst,[],[left_distributivity:[bind(A,$fot(X_170)),bind(B,$fot(X_171)),bind(C,$fot(X_172))]]) ).
cnf(refute_0_507,plain,
( multiplication(addition(X_170,X_171),X_172) != addition(multiplication(X_170,X_172),multiplication(X_171,X_172))
| addition(multiplication(X_170,X_172),multiplication(X_171,X_172)) = multiplication(addition(X_170,X_171),X_172) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(addition(X_170,X_171),X_172))),bind(Y,$fot(addition(multiplication(X_170,X_172),multiplication(X_171,X_172))))]]) ).
cnf(refute_0_508,plain,
addition(multiplication(X_170,X_172),multiplication(X_171,X_172)) = multiplication(addition(X_170,X_171),X_172),
inference(resolve,[$cnf( $equal(multiplication(addition(X_170,X_171),X_172),addition(multiplication(X_170,X_172),multiplication(X_171,X_172))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
( addition(multiplication(X_170,X_172),multiplication(X_171,X_172)) != multiplication(addition(X_170,X_171),X_172)
| leq(multiplication(X_170,X_172),addition(multiplication(X_170,X_172),multiplication(X_171,X_172))) != true
| leq(multiplication(X_170,X_172),multiplication(addition(X_170,X_171),X_172)) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(X_170,X_172),addition(multiplication(X_170,X_172),multiplication(X_171,X_172))),true) ),[0,1],$fot(multiplication(addition(X_170,X_171),X_172))]]) ).
cnf(refute_0_510,plain,
( leq(multiplication(X_170,X_172),addition(multiplication(X_170,X_172),multiplication(X_171,X_172))) != true
| leq(multiplication(X_170,X_172),multiplication(addition(X_170,X_171),X_172)) = true ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_170,X_172),multiplication(X_171,X_172)),multiplication(addition(X_170,X_171),X_172)) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
leq(multiplication(X_170,X_172),multiplication(addition(X_170,X_171),X_172)) = true,
inference(resolve,[$cnf( $equal(leq(multiplication(X_170,X_172),addition(multiplication(X_170,X_172),multiplication(X_171,X_172))),true) )],[refute_0_505,refute_0_510]) ).
cnf(refute_0_512,plain,
leq(multiplication(X_191,star(addition(X_191,one))),multiplication(addition(X_191,one),star(addition(X_191,one)))) = true,
inference(subst,[],[refute_0_511:[bind(X_170,$fot(X_191)),bind(X_171,$fot(one)),bind(X_172,$fot(star(addition(X_191,one))))]]) ).
cnf(refute_0_513,plain,
addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) = addition(addition(star(X_23),multiplication(X_23,star(X_23))),addition(one,addition(star(X_23),multiplication(X_23,star(X_23))))),
inference(subst,[],[refute_0_77:[bind(X_47,$fot(one)),bind(X_48,$fot(addition(star(X_23),multiplication(X_23,star(X_23)))))]]) ).
cnf(refute_0_514,plain,
ifeq2(leq(addition(one,multiplication(X_23,star(X_23))),star(X_23)),true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = star(X_23),
inference(subst,[],[order_1:[bind(A,$fot(addition(one,multiplication(X_23,star(X_23))))),bind(B,$fot(star(X_23)))]]) ).
cnf(refute_0_515,plain,
leq(addition(one,multiplication(X_23,star(X_23))),star(X_23)) = true,
inference(subst,[],[star_unfold_right:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_516,plain,
( ifeq2(leq(addition(one,multiplication(X_23,star(X_23))),star(X_23)),true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) != star(X_23)
| leq(addition(one,multiplication(X_23,star(X_23))),star(X_23)) != true
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = star(X_23) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(addition(one,multiplication(X_23,star(X_23))),star(X_23)),true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)),star(X_23)) ),[0,0],$fot(true)]]) ).
cnf(refute_0_517,plain,
( ifeq2(leq(addition(one,multiplication(X_23,star(X_23))),star(X_23)),true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) != star(X_23)
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = star(X_23) ),
inference(resolve,[$cnf( $equal(leq(addition(one,multiplication(X_23,star(X_23))),star(X_23)),true) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = star(X_23),
inference(resolve,[$cnf( $equal(ifeq2(leq(addition(one,multiplication(X_23,star(X_23))),star(X_23)),true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)),star(X_23)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
addition(multiplication(X_23,star(X_23)),star(X_23)) = addition(star(X_23),multiplication(X_23,star(X_23))),
inference(subst,[],[refute_0_9:[bind(A,$fot(star(X_23))),bind(B,$fot(multiplication(X_23,star(X_23))))]]) ).
cnf(refute_0_520,plain,
addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) = addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))))]]) ).
cnf(refute_0_521,plain,
( addition(multiplication(X_23,star(X_23)),star(X_23)) != addition(star(X_23),multiplication(X_23,star(X_23)))
| addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) != addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))
| addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) = addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))),addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))) ),[1,1],$fot(addition(star(X_23),multiplication(X_23,star(X_23))))]]) ).
cnf(refute_0_522,plain,
( addition(multiplication(X_23,star(X_23)),star(X_23)) != addition(star(X_23),multiplication(X_23,star(X_23)))
| addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) = addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))),addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) = addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_23,star(X_23)),star(X_23)),addition(star(X_23),multiplication(X_23,star(X_23)))) )],[refute_0_519,refute_0_522]) ).
cnf(refute_0_524,plain,
addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)) = addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))),
inference(subst,[],[refute_0_36:[bind(A,$fot(one)),bind(B,$fot(multiplication(X_23,star(X_23)))),bind(C,$fot(star(X_23)))]]) ).
cnf(refute_0_525,plain,
ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)))),bind(C,$fot(star(X_23)))]]) ).
cnf(refute_0_526,plain,
( addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)) != addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) != addition(addition(one,multiplication(X_23,star(X_23))),star(X_23))
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)))),bind(Y,$fot(addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)))),bind(Z,$fot(addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))))]]) ).
cnf(refute_0_527,plain,
( addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)) != addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)),addition(addition(one,multiplication(X_23,star(X_23))),star(X_23))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))),
inference(resolve,[$cnf( $equal(addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
( addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) != addition(one,addition(star(X_23),multiplication(X_23,star(X_23))))
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) != addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)))),bind(Y,$fot(addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))))),bind(Z,$fot(addition(one,addition(star(X_23),multiplication(X_23,star(X_23))))))]]) ).
cnf(refute_0_530,plain,
( addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))) != addition(one,addition(star(X_23),multiplication(X_23,star(X_23))))
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)),addition(one,addition(multiplication(X_23,star(X_23)),star(X_23)))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) = addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(X_23,star(X_23)),star(X_23))),addition(one,addition(star(X_23),multiplication(X_23,star(X_23))))) )],[refute_0_523,refute_0_530]) ).
cnf(refute_0_532,plain,
( ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) != addition(one,addition(star(X_23),multiplication(X_23,star(X_23))))
| ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) != star(X_23)
| addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) = star(X_23) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)),star(X_23)) ),[0],$fot(addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))))]]) ).
cnf(refute_0_533,plain,
( ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)) != star(X_23)
| addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) = star(X_23) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)),addition(one,addition(star(X_23),multiplication(X_23,star(X_23))))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) = star(X_23),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(addition(one,multiplication(X_23,star(X_23))),star(X_23)),star(X_23)),star(X_23)) )],[refute_0_518,refute_0_533]) ).
cnf(refute_0_535,plain,
( addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) != addition(addition(star(X_23),multiplication(X_23,star(X_23))),addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))))
| addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) != star(X_23)
| addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) = addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))),addition(addition(star(X_23),multiplication(X_23,star(X_23))),addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))))) ),[1,1],$fot(star(X_23))]]) ).
cnf(refute_0_536,plain,
( addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) != addition(addition(star(X_23),multiplication(X_23,star(X_23))),addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))))
| addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) = addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))),star(X_23)) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) = addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))),addition(addition(star(X_23),multiplication(X_23,star(X_23))),addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))))) )],[refute_0_513,refute_0_536]) ).
cnf(refute_0_538,plain,
( addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) != addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))
| addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) != star(X_23)
| star(X_23) = addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))),addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))) ),[0],$fot(star(X_23))]]) ).
cnf(refute_0_539,plain,
( addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) != addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))
| star(X_23) = addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))),star(X_23)) )],[refute_0_534,refute_0_538]) ).
cnf(refute_0_540,plain,
addition(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23)))) = addition(star(X_23),multiplication(X_23,star(X_23))),
inference(subst,[],[refute_0_70:[bind(X_47,$fot(star(X_23))),bind(X_48,$fot(multiplication(X_23,star(X_23))))]]) ).
cnf(refute_0_541,plain,
addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))) = addition(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23)))),
inference(subst,[],[refute_0_148:[bind(A,$fot(star(X_23))),bind(B,$fot(multiplication(X_23,star(X_23)))),bind(X_57,$fot(star(X_23)))]]) ).
cnf(refute_0_542,plain,
( addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))) != addition(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23))))
| addition(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23)))) != addition(star(X_23),multiplication(X_23,star(X_23)))
| addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))) = addition(star(X_23),multiplication(X_23,star(X_23))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))))),bind(Y,$fot(addition(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23)))))),bind(Z,$fot(addition(star(X_23),multiplication(X_23,star(X_23)))))]]) ).
cnf(refute_0_543,plain,
( addition(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23)))) != addition(star(X_23),multiplication(X_23,star(X_23)))
| addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))) = addition(star(X_23),multiplication(X_23,star(X_23))) ),
inference(resolve,[$cnf( $equal(addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))),addition(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23))))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))) = addition(star(X_23),multiplication(X_23,star(X_23))),
inference(resolve,[$cnf( $equal(addition(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23)))),addition(star(X_23),multiplication(X_23,star(X_23)))) )],[refute_0_540,refute_0_543]) ).
cnf(refute_0_545,plain,
addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) = addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))),
inference(subst,[],[refute_0_36:[bind(A,$fot(star(X_23))),bind(B,$fot(multiplication(X_23,star(X_23)))),bind(C,$fot(star(X_23)))]]) ).
cnf(refute_0_546,plain,
( addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) != addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23)))
| addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))) != addition(star(X_23),multiplication(X_23,star(X_23)))
| addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) = addition(star(X_23),multiplication(X_23,star(X_23))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)))),bind(Y,$fot(addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))))),bind(Z,$fot(addition(star(X_23),multiplication(X_23,star(X_23)))))]]) ).
cnf(refute_0_547,plain,
( addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))) != addition(star(X_23),multiplication(X_23,star(X_23)))
| addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) = addition(star(X_23),multiplication(X_23,star(X_23))) ),
inference(resolve,[$cnf( $equal(addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)),addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23)))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) = addition(star(X_23),multiplication(X_23,star(X_23))),
inference(resolve,[$cnf( $equal(addition(star(X_23),addition(multiplication(X_23,star(X_23)),star(X_23))),addition(star(X_23),multiplication(X_23,star(X_23)))) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
( addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)) != addition(star(X_23),multiplication(X_23,star(X_23)))
| star(X_23) != addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))
| star(X_23) = addition(star(X_23),multiplication(X_23,star(X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(star(X_23),addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))) ),[1],$fot(addition(star(X_23),multiplication(X_23,star(X_23))))]]) ).
cnf(refute_0_550,plain,
( star(X_23) != addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))
| star(X_23) = addition(star(X_23),multiplication(X_23,star(X_23))) ),
inference(resolve,[$cnf( $equal(addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23)),addition(star(X_23),multiplication(X_23,star(X_23)))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
( addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))) != addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))
| star(X_23) = addition(star(X_23),multiplication(X_23,star(X_23))) ),
inference(resolve,[$cnf( $equal(star(X_23),addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))) )],[refute_0_539,refute_0_550]) ).
cnf(refute_0_552,plain,
star(X_23) = addition(star(X_23),multiplication(X_23,star(X_23))),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_23),multiplication(X_23,star(X_23)))),addition(addition(star(X_23),multiplication(X_23,star(X_23))),star(X_23))) )],[refute_0_537,refute_0_551]) ).
cnf(refute_0_553,plain,
multiplication(addition(one,X_171),X_172) = addition(multiplication(one,X_172),multiplication(X_171,X_172)),
inference(subst,[],[left_distributivity:[bind(A,$fot(one)),bind(B,$fot(X_171)),bind(C,$fot(X_172))]]) ).
cnf(refute_0_554,plain,
multiplication(one,X_172) = X_172,
inference(subst,[],[multiplicative_left_identity:[bind(A,$fot(X_172))]]) ).
cnf(refute_0_555,plain,
( multiplication(addition(one,X_171),X_172) != addition(multiplication(one,X_172),multiplication(X_171,X_172))
| multiplication(one,X_172) != X_172
| multiplication(addition(one,X_171),X_172) = addition(X_172,multiplication(X_171,X_172)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_171),X_172),addition(multiplication(one,X_172),multiplication(X_171,X_172))) ),[1,0],$fot(X_172)]]) ).
cnf(refute_0_556,plain,
( multiplication(addition(one,X_171),X_172) != addition(multiplication(one,X_172),multiplication(X_171,X_172))
| multiplication(addition(one,X_171),X_172) = addition(X_172,multiplication(X_171,X_172)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_172),X_172) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
multiplication(addition(one,X_171),X_172) = addition(X_172,multiplication(X_171,X_172)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_171),X_172),addition(multiplication(one,X_172),multiplication(X_171,X_172))) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
( multiplication(addition(one,X_171),X_172) != addition(X_172,multiplication(X_171,X_172))
| addition(X_172,multiplication(X_171,X_172)) = multiplication(addition(one,X_171),X_172) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(addition(one,X_171),X_172))),bind(Y,$fot(addition(X_172,multiplication(X_171,X_172))))]]) ).
cnf(refute_0_559,plain,
addition(X_172,multiplication(X_171,X_172)) = multiplication(addition(one,X_171),X_172),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_171),X_172),addition(X_172,multiplication(X_171,X_172))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
addition(star(X_23),multiplication(X_23,star(X_23))) = multiplication(addition(one,X_23),star(X_23)),
inference(subst,[],[refute_0_559:[bind(X_171,$fot(X_23)),bind(X_172,$fot(star(X_23)))]]) ).
cnf(refute_0_561,plain,
( addition(star(X_23),multiplication(X_23,star(X_23))) != multiplication(addition(one,X_23),star(X_23))
| star(X_23) != addition(star(X_23),multiplication(X_23,star(X_23)))
| star(X_23) = multiplication(addition(one,X_23),star(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23)))) ),[1],$fot(multiplication(addition(one,X_23),star(X_23)))]]) ).
cnf(refute_0_562,plain,
( star(X_23) != addition(star(X_23),multiplication(X_23,star(X_23)))
| star(X_23) = multiplication(addition(one,X_23),star(X_23)) ),
inference(resolve,[$cnf( $equal(addition(star(X_23),multiplication(X_23,star(X_23))),multiplication(addition(one,X_23),star(X_23))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
star(X_23) = multiplication(addition(one,X_23),star(X_23)),
inference(resolve,[$cnf( $equal(star(X_23),addition(star(X_23),multiplication(X_23,star(X_23)))) )],[refute_0_552,refute_0_562]) ).
cnf(refute_0_564,plain,
star(addition(X_47,one)) = multiplication(addition(one,addition(X_47,one)),star(addition(X_47,one))),
inference(subst,[],[refute_0_563:[bind(X_23,$fot(addition(X_47,one)))]]) ).
cnf(refute_0_565,plain,
addition(X_47,one) = addition(one,addition(X_47,one)),
inference(subst,[],[refute_0_77:[bind(X_48,$fot(one))]]) ).
cnf(refute_0_566,plain,
( addition(X_47,one) != addition(one,addition(X_47,one))
| addition(one,addition(X_47,one)) = addition(X_47,one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(X_47,one))),bind(Y,$fot(addition(one,addition(X_47,one))))]]) ).
cnf(refute_0_567,plain,
addition(one,addition(X_47,one)) = addition(X_47,one),
inference(resolve,[$cnf( $equal(addition(X_47,one),addition(one,addition(X_47,one))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
( addition(one,addition(X_47,one)) != addition(X_47,one)
| star(addition(X_47,one)) != multiplication(addition(one,addition(X_47,one)),star(addition(X_47,one)))
| star(addition(X_47,one)) = multiplication(addition(X_47,one),star(addition(X_47,one))) ),
introduced(tautology,[equality,[$cnf( $equal(star(addition(X_47,one)),multiplication(addition(one,addition(X_47,one)),star(addition(X_47,one)))) ),[1,0],$fot(addition(X_47,one))]]) ).
cnf(refute_0_569,plain,
( star(addition(X_47,one)) != multiplication(addition(one,addition(X_47,one)),star(addition(X_47,one)))
| star(addition(X_47,one)) = multiplication(addition(X_47,one),star(addition(X_47,one))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_47,one)),addition(X_47,one)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
star(addition(X_47,one)) = multiplication(addition(X_47,one),star(addition(X_47,one))),
inference(resolve,[$cnf( $equal(star(addition(X_47,one)),multiplication(addition(one,addition(X_47,one)),star(addition(X_47,one)))) )],[refute_0_564,refute_0_569]) ).
cnf(refute_0_571,plain,
star(addition(X_191,one)) = multiplication(addition(X_191,one),star(addition(X_191,one))),
inference(subst,[],[refute_0_570:[bind(X_47,$fot(X_191))]]) ).
cnf(refute_0_572,plain,
( star(addition(X_191,one)) != multiplication(addition(X_191,one),star(addition(X_191,one)))
| multiplication(addition(X_191,one),star(addition(X_191,one))) = star(addition(X_191,one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(star(addition(X_191,one)))),bind(Y,$fot(multiplication(addition(X_191,one),star(addition(X_191,one)))))]]) ).
cnf(refute_0_573,plain,
multiplication(addition(X_191,one),star(addition(X_191,one))) = star(addition(X_191,one)),
inference(resolve,[$cnf( $equal(star(addition(X_191,one)),multiplication(addition(X_191,one),star(addition(X_191,one)))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
( leq(multiplication(X_191,star(addition(X_191,one))),multiplication(addition(X_191,one),star(addition(X_191,one)))) != true
| multiplication(addition(X_191,one),star(addition(X_191,one))) != star(addition(X_191,one))
| leq(multiplication(X_191,star(addition(X_191,one))),star(addition(X_191,one))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(X_191,star(addition(X_191,one))),multiplication(addition(X_191,one),star(addition(X_191,one)))),true) ),[0,1],$fot(star(addition(X_191,one)))]]) ).
cnf(refute_0_575,plain,
( leq(multiplication(X_191,star(addition(X_191,one))),multiplication(addition(X_191,one),star(addition(X_191,one)))) != true
| leq(multiplication(X_191,star(addition(X_191,one))),star(addition(X_191,one))) = true ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_191,one),star(addition(X_191,one))),star(addition(X_191,one))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
leq(multiplication(X_191,star(addition(X_191,one))),star(addition(X_191,one))) = true,
inference(resolve,[$cnf( $equal(leq(multiplication(X_191,star(addition(X_191,one))),multiplication(addition(X_191,one),star(addition(X_191,one)))),true) )],[refute_0_512,refute_0_575]) ).
cnf(refute_0_577,plain,
leq(multiplication(X_230,star(addition(X_230,one))),star(addition(X_230,one))) = true,
inference(subst,[],[refute_0_576:[bind(X_191,$fot(X_230))]]) ).
cnf(refute_0_578,plain,
addition(one,X_230) = addition(X_230,one),
inference(subst,[],[additive_commutativity:[bind(A,$fot(one)),bind(B,$fot(X_230))]]) ).
cnf(refute_0_579,plain,
( addition(one,X_230) != addition(X_230,one)
| addition(X_230,one) = addition(one,X_230) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(one,X_230))),bind(Y,$fot(addition(X_230,one)))]]) ).
cnf(refute_0_580,plain,
addition(X_230,one) = addition(one,X_230),
inference(resolve,[$cnf( $equal(addition(one,X_230),addition(X_230,one)) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
( addition(X_230,one) != addition(one,X_230)
| leq(multiplication(X_230,star(addition(X_230,one))),star(addition(X_230,one))) != true
| leq(multiplication(X_230,star(addition(one,X_230))),star(addition(X_230,one))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(X_230,star(addition(X_230,one))),star(addition(X_230,one))),true) ),[0,0,1,0],$fot(addition(one,X_230))]]) ).
cnf(refute_0_582,plain,
( leq(multiplication(X_230,star(addition(X_230,one))),star(addition(X_230,one))) != true
| leq(multiplication(X_230,star(addition(one,X_230))),star(addition(X_230,one))) = true ),
inference(resolve,[$cnf( $equal(addition(X_230,one),addition(one,X_230)) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
leq(multiplication(X_230,star(addition(one,X_230))),star(addition(X_230,one))) = true,
inference(resolve,[$cnf( $equal(leq(multiplication(X_230,star(addition(X_230,one))),star(addition(X_230,one))),true) )],[refute_0_577,refute_0_582]) ).
cnf(refute_0_584,plain,
leq(multiplication(X_231,star(addition(one,X_231))),star(addition(X_231,one))) = true,
inference(subst,[],[refute_0_583:[bind(X_230,$fot(X_231))]]) ).
cnf(refute_0_585,plain,
( ifeq2(leq(multiplication(X_231,star(addition(one,X_231))),star(addition(X_231,one))),true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) != star(addition(X_231,one))
| leq(multiplication(X_231,star(addition(one,X_231))),star(addition(X_231,one))) != true
| ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) = star(addition(X_231,one)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(multiplication(X_231,star(addition(one,X_231))),star(addition(X_231,one))),true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))),star(addition(X_231,one))) ),[0,0],$fot(true)]]) ).
cnf(refute_0_586,plain,
( ifeq2(leq(multiplication(X_231,star(addition(one,X_231))),star(addition(X_231,one))),true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) != star(addition(X_231,one))
| ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) = star(addition(X_231,one)) ),
inference(resolve,[$cnf( $equal(leq(multiplication(X_231,star(addition(one,X_231))),star(addition(X_231,one))),true) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) = star(addition(X_231,one)),
inference(resolve,[$cnf( $equal(ifeq2(leq(multiplication(X_231,star(addition(one,X_231))),star(addition(X_231,one))),true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))),star(addition(X_231,one))) )],[refute_0_504,refute_0_586]) ).
cnf(refute_0_588,plain,
ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) = addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))))),bind(C,$fot(star(addition(X_231,one))))]]) ).
cnf(refute_0_589,plain,
( ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) != addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231))))
| ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) != star(addition(X_231,one))
| addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))) = star(addition(X_231,one)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))),star(addition(X_231,one))) ),[0],$fot(addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))))]]) ).
cnf(refute_0_590,plain,
( ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))) != star(addition(X_231,one))
| addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))) = star(addition(X_231,one)) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))),addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231))))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))) = star(addition(X_231,one)),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(addition(X_231,one)),multiplication(X_231,star(addition(one,X_231)))),star(addition(X_231,one))),star(addition(X_231,one))) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
addition(star(addition(X_90,one)),multiplication(X_90,star(addition(one,X_90)))) = star(addition(X_90,one)),
inference(subst,[],[refute_0_591:[bind(X_231,$fot(X_90))]]) ).
cnf(refute_0_593,plain,
( addition(star(addition(X_90,one)),multiplication(X_90,star(addition(one,X_90)))) != star(addition(X_90,one))
| ifeq(leq(addition(star(addition(X_90,one)),multiplication(X_90,star(addition(one,X_90)))),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != true
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(star(addition(X_90,one)),multiplication(X_90,star(addition(one,X_90)))),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),true) ),[0,0,0],$fot(star(addition(X_90,one)))]]) ).
cnf(refute_0_594,plain,
( ifeq(leq(addition(star(addition(X_90,one)),multiplication(X_90,star(addition(one,X_90)))),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != true
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = true ),
inference(resolve,[$cnf( $equal(addition(star(addition(X_90,one)),multiplication(X_90,star(addition(one,X_90)))),star(addition(X_90,one))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(star(addition(X_90,one)),multiplication(X_90,star(addition(one,X_90)))),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),true) )],[refute_0_503,refute_0_594]) ).
cnf(refute_0_596,plain,
ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true) = leq(star(X_90),star(addition(one,X_90))),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(star(X_90),star(addition(one,X_90))))),bind(C,$fot(true))]]) ).
cnf(refute_0_597,plain,
ifeq2(leq(multiplication(star(X_292),star(addition(X_292,one))),star(X_292)),true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = star(X_292),
inference(subst,[],[refute_0_269:[bind(X_18,$fot(multiplication(star(X_292),star(addition(X_292,one))))),bind(X_19,$fot(star(X_292)))]]) ).
cnf(refute_0_598,plain,
ifeq(leq(addition(multiplication(X_96,X_97),multiplication(X_96,X_97)),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) = true,
inference(subst,[],[star_induction_right:[bind(A,$fot(X_96)),bind(B,$fot(X_97)),bind(C,$fot(multiplication(X_96,X_97)))]]) ).
cnf(refute_0_599,plain,
addition(multiplication(X_96,X_97),multiplication(X_96,X_97)) = multiplication(X_96,X_97),
inference(subst,[],[additive_idempotence:[bind(A,$fot(multiplication(X_96,X_97)))]]) ).
cnf(refute_0_600,plain,
( addition(multiplication(X_96,X_97),multiplication(X_96,X_97)) != multiplication(X_96,X_97)
| ifeq(leq(addition(multiplication(X_96,X_97),multiplication(X_96,X_97)),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) != true
| ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),multiplication(X_96,X_97)),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true),true) ),[0,0,0],$fot(multiplication(X_96,X_97))]]) ).
cnf(refute_0_601,plain,
( ifeq(leq(addition(multiplication(X_96,X_97),multiplication(X_96,X_97)),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) != true
| ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) = true ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_96,X_97),multiplication(X_96,X_97)),multiplication(X_96,X_97)) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(multiplication(X_96,X_97),multiplication(X_96,X_97)),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true),true) )],[refute_0_598,refute_0_601]) ).
cnf(refute_0_603,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_604,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[multiplicative_associativity,refute_0_603]) ).
cnf(refute_0_605,plain,
multiplication(multiplication(X_96,X_97),star(X_97)) = multiplication(X_96,multiplication(X_97,star(X_97))),
inference(subst,[],[refute_0_604:[bind(A,$fot(X_96)),bind(B,$fot(X_97)),bind(C,$fot(star(X_97)))]]) ).
cnf(refute_0_606,plain,
leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96) = leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),
introduced(tautology,[refl,[$fot(leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96))]]) ).
cnf(refute_0_607,plain,
( leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96) != leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96)
| multiplication(multiplication(X_96,X_97),star(X_97)) != multiplication(X_96,multiplication(X_97,star(X_97)))
| leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96) = leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96) ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96)) ),[1,0],$fot(multiplication(X_96,multiplication(X_97,star(X_97))))]]) ).
cnf(refute_0_608,plain,
( multiplication(multiplication(X_96,X_97),star(X_97)) != multiplication(X_96,multiplication(X_97,star(X_97)))
| leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96) = leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96) ),
inference(resolve,[$cnf( $equal(leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96) = leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_96,X_97),star(X_97)),multiplication(X_96,multiplication(X_97,star(X_97)))) )],[refute_0_605,refute_0_608]) ).
cnf(refute_0_610,plain,
ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) = ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true),
introduced(tautology,[refl,[$fot(ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true))]]) ).
cnf(refute_0_611,plain,
( ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) != ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true)
| leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96) != leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96)
| ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) = ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true),ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true)) ),[1,2],$fot(leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96))]]) ).
cnf(refute_0_612,plain,
( leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96) != leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96)
| ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) = ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true),ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true)) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) = ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true),
inference(resolve,[$cnf( $equal(leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96)) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
( ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) != ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true)
| ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) != true
| ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true),true) ),[0],$fot(ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true))]]) ).
cnf(refute_0_615,plain,
( ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true) != true
| ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true),ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true)) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(X_96,multiplication(X_97,star(X_97))),X_96),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(X_96,X_97),X_96),true,leq(multiplication(multiplication(X_96,X_97),star(X_97)),X_96),true),true) )],[refute_0_602,refute_0_615]) ).
cnf(refute_0_617,plain,
ifeq(leq(multiplication(star(X_122),addition(X_122,one)),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = true,
inference(subst,[],[refute_0_616:[bind(X_96,$fot(star(X_122))),bind(X_97,$fot(addition(X_122,one)))]]) ).
cnf(refute_0_618,plain,
addition(multiplication(star(X_122),addition(X_122,one)),zero) = multiplication(star(X_122),addition(X_122,one)),
inference(subst,[],[additive_identity:[bind(A,$fot(multiplication(star(X_122),addition(X_122,one))))]]) ).
cnf(refute_0_619,plain,
addition(X_46,addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))) = addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))),
inference(subst,[],[additive_associativity:[bind(A,$fot(X_46)),bind(B,$fot(star(X_31))),bind(C,$fot(addition(one,multiplication(star(X_31),X_31))))]]) ).
cnf(refute_0_620,plain,
addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) = addition(one,addition(star(X_31),multiplication(star(X_31),X_31))),
inference(subst,[],[additive_commutativity:[bind(A,$fot(addition(star(X_31),multiplication(star(X_31),X_31)))),bind(B,$fot(one))]]) ).
cnf(refute_0_621,plain,
addition(one,addition(star(X_31),multiplication(star(X_31),X_31))) = star(X_31),
inference(subst,[],[refute_0_99:[bind(X_22,$fot(X_31))]]) ).
cnf(refute_0_622,plain,
( addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) != addition(one,addition(star(X_31),multiplication(star(X_31),X_31)))
| addition(one,addition(star(X_31),multiplication(star(X_31),X_31))) != star(X_31)
| addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) = star(X_31) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(star(X_31),multiplication(star(X_31),X_31)),one),star(X_31)) ),[0],$fot(addition(one,addition(star(X_31),multiplication(star(X_31),X_31))))]]) ).
cnf(refute_0_623,plain,
( addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) != addition(one,addition(star(X_31),multiplication(star(X_31),X_31)))
| addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) = star(X_31) ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_31),multiplication(star(X_31),X_31))),star(X_31)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) = star(X_31),
inference(resolve,[$cnf( $equal(addition(addition(star(X_31),multiplication(star(X_31),X_31)),one),addition(one,addition(star(X_31),multiplication(star(X_31),X_31)))) )],[refute_0_620,refute_0_623]) ).
cnf(refute_0_625,plain,
addition(multiplication(star(X_31),X_31),one) = addition(one,multiplication(star(X_31),X_31)),
inference(subst,[],[refute_0_9:[bind(A,$fot(one)),bind(B,$fot(multiplication(star(X_31),X_31)))]]) ).
cnf(refute_0_626,plain,
addition(star(X_31),addition(multiplication(star(X_31),X_31),one)) = addition(star(X_31),addition(multiplication(star(X_31),X_31),one)),
introduced(tautology,[refl,[$fot(addition(star(X_31),addition(multiplication(star(X_31),X_31),one)))]]) ).
cnf(refute_0_627,plain,
( addition(multiplication(star(X_31),X_31),one) != addition(one,multiplication(star(X_31),X_31))
| addition(star(X_31),addition(multiplication(star(X_31),X_31),one)) != addition(star(X_31),addition(multiplication(star(X_31),X_31),one))
| addition(star(X_31),addition(multiplication(star(X_31),X_31),one)) = addition(star(X_31),addition(one,multiplication(star(X_31),X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(star(X_31),addition(multiplication(star(X_31),X_31),one)),addition(star(X_31),addition(multiplication(star(X_31),X_31),one))) ),[1,1],$fot(addition(one,multiplication(star(X_31),X_31)))]]) ).
cnf(refute_0_628,plain,
( addition(multiplication(star(X_31),X_31),one) != addition(one,multiplication(star(X_31),X_31))
| addition(star(X_31),addition(multiplication(star(X_31),X_31),one)) = addition(star(X_31),addition(one,multiplication(star(X_31),X_31))) ),
inference(resolve,[$cnf( $equal(addition(star(X_31),addition(multiplication(star(X_31),X_31),one)),addition(star(X_31),addition(multiplication(star(X_31),X_31),one))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
addition(star(X_31),addition(multiplication(star(X_31),X_31),one)) = addition(star(X_31),addition(one,multiplication(star(X_31),X_31))),
inference(resolve,[$cnf( $equal(addition(multiplication(star(X_31),X_31),one),addition(one,multiplication(star(X_31),X_31))) )],[refute_0_625,refute_0_628]) ).
cnf(refute_0_630,plain,
addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) = addition(star(X_31),addition(multiplication(star(X_31),X_31),one)),
inference(subst,[],[refute_0_36:[bind(A,$fot(star(X_31))),bind(B,$fot(multiplication(star(X_31),X_31))),bind(C,$fot(one))]]) ).
cnf(refute_0_631,plain,
( addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) != addition(star(X_31),addition(multiplication(star(X_31),X_31),one))
| addition(star(X_31),addition(multiplication(star(X_31),X_31),one)) != addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))
| addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) = addition(star(X_31),addition(one,multiplication(star(X_31),X_31))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(star(X_31),multiplication(star(X_31),X_31)),one))),bind(Y,$fot(addition(star(X_31),addition(multiplication(star(X_31),X_31),one)))),bind(Z,$fot(addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))))]]) ).
cnf(refute_0_632,plain,
( addition(star(X_31),addition(multiplication(star(X_31),X_31),one)) != addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))
| addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) = addition(star(X_31),addition(one,multiplication(star(X_31),X_31))) ),
inference(resolve,[$cnf( $equal(addition(addition(star(X_31),multiplication(star(X_31),X_31)),one),addition(star(X_31),addition(multiplication(star(X_31),X_31),one))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) = addition(star(X_31),addition(one,multiplication(star(X_31),X_31))),
inference(resolve,[$cnf( $equal(addition(star(X_31),addition(multiplication(star(X_31),X_31),one)),addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
( addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) != addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))
| addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) != star(X_31)
| addition(star(X_31),addition(one,multiplication(star(X_31),X_31))) = star(X_31) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(star(X_31),multiplication(star(X_31),X_31)),one),star(X_31)) ),[0],$fot(addition(star(X_31),addition(one,multiplication(star(X_31),X_31))))]]) ).
cnf(refute_0_635,plain,
( addition(addition(star(X_31),multiplication(star(X_31),X_31)),one) != star(X_31)
| addition(star(X_31),addition(one,multiplication(star(X_31),X_31))) = star(X_31) ),
inference(resolve,[$cnf( $equal(addition(addition(star(X_31),multiplication(star(X_31),X_31)),one),addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
addition(star(X_31),addition(one,multiplication(star(X_31),X_31))) = star(X_31),
inference(resolve,[$cnf( $equal(addition(addition(star(X_31),multiplication(star(X_31),X_31)),one),star(X_31)) )],[refute_0_624,refute_0_635]) ).
cnf(refute_0_637,plain,
( addition(X_46,addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))) != addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31)))
| addition(star(X_31),addition(one,multiplication(star(X_31),X_31))) != star(X_31)
| addition(X_46,star(X_31)) = addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_46,addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))),addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31)))) ),[0,1],$fot(star(X_31))]]) ).
cnf(refute_0_638,plain,
( addition(X_46,addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))) != addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31)))
| addition(X_46,star(X_31)) = addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))) ),
inference(resolve,[$cnf( $equal(addition(star(X_31),addition(one,multiplication(star(X_31),X_31))),star(X_31)) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
addition(X_46,star(X_31)) = addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))),
inference(resolve,[$cnf( $equal(addition(X_46,addition(star(X_31),addition(one,multiplication(star(X_31),X_31)))),addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31)))) )],[refute_0_619,refute_0_638]) ).
cnf(refute_0_640,plain,
addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))) = addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)),
inference(subst,[],[refute_0_52:[bind(A,$fot(star(X_31))),bind(X_46,$fot(multiplication(star(X_31),X_31))),bind(X_47,$fot(X_46))]]) ).
cnf(refute_0_641,plain,
addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))) = addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))),
introduced(tautology,[refl,[$fot(addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))))]]) ).
cnf(refute_0_642,plain,
( addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))) != addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))
| addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))) != addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))))
| addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))),addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))))) ),[1,1],$fot(addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))]]) ).
cnf(refute_0_643,plain,
( addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))) != addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))
| addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))),addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))),
inference(resolve,[$cnf( $equal(addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))),addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) )],[refute_0_640,refute_0_643]) ).
cnf(refute_0_645,plain,
addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))) = addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))),
inference(subst,[],[refute_0_50:[bind(A,$fot(addition(X_46,star(X_31)))),bind(X_46,$fot(one)),bind(X_47,$fot(multiplication(star(X_31),X_31)))]]) ).
cnf(refute_0_646,plain,
( addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))) != addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))))
| addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))) != addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))
| addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))))),bind(Y,$fot(addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))))),bind(Z,$fot(addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))))]]) ).
cnf(refute_0_647,plain,
( addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))) != addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))
| addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))),addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31))))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(star(X_31),X_31),addition(X_46,star(X_31)))),addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))) )],[refute_0_644,refute_0_647]) ).
cnf(refute_0_649,plain,
( addition(X_46,star(X_31)) != addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31)))
| addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))) != addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))
| addition(X_46,star(X_31)) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_46,star(X_31)),addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))) ),[0],$fot(addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))))]]) ).
cnf(refute_0_650,plain,
( addition(X_46,star(X_31)) != addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31)))
| addition(X_46,star(X_31)) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31))),addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
addition(X_46,star(X_31)) = addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))),
inference(resolve,[$cnf( $equal(addition(X_46,star(X_31)),addition(addition(X_46,star(X_31)),addition(one,multiplication(star(X_31),X_31)))) )],[refute_0_639,refute_0_650]) ).
cnf(refute_0_652,plain,
addition(one,addition(star(X_59),C)) = addition(addition(one,star(X_59)),C),
inference(subst,[],[additive_associativity:[bind(A,$fot(one)),bind(B,$fot(star(X_59)))]]) ).
cnf(refute_0_653,plain,
addition(one,star(X_59)) = star(X_59),
inference(subst,[],[refute_0_196:[bind(X_22,$fot(X_59))]]) ).
cnf(refute_0_654,plain,
( addition(one,addition(star(X_59),C)) != addition(addition(one,star(X_59)),C)
| addition(one,star(X_59)) != star(X_59)
| addition(one,addition(star(X_59),C)) = addition(star(X_59),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(star(X_59),C)),addition(addition(one,star(X_59)),C)) ),[1,0],$fot(star(X_59))]]) ).
cnf(refute_0_655,plain,
( addition(one,addition(star(X_59),C)) != addition(addition(one,star(X_59)),C)
| addition(one,addition(star(X_59),C)) = addition(star(X_59),C) ),
inference(resolve,[$cnf( $equal(addition(one,star(X_59)),star(X_59)) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
addition(one,addition(star(X_59),C)) = addition(star(X_59),C),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_59),C)),addition(addition(one,star(X_59)),C)) )],[refute_0_652,refute_0_655]) ).
cnf(refute_0_657,plain,
addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) = addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)),
inference(subst,[],[refute_0_656:[bind(C,$fot(addition(multiplication(star(X_31),X_31),X_46))),bind(X_59,$fot(X_31))]]) ).
cnf(refute_0_658,plain,
( addition(X_46,star(X_31)) != addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))
| addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) != addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))
| addition(X_46,star(X_31)) = addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_46,star(X_31)),addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) ),[0],$fot(addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))))]]) ).
cnf(refute_0_659,plain,
( addition(X_46,star(X_31)) != addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))
| addition(X_46,star(X_31)) = addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))),addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
addition(X_46,star(X_31)) = addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)),
inference(resolve,[$cnf( $equal(addition(X_46,star(X_31)),addition(one,addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))) )],[refute_0_651,refute_0_659]) ).
cnf(refute_0_661,plain,
addition(A,addition(multiplication(A,X_72),C)) = addition(addition(A,multiplication(A,X_72)),C),
inference(subst,[],[additive_associativity:[bind(B,$fot(multiplication(A,X_72)))]]) ).
cnf(refute_0_662,plain,
multiplication(X_68,addition(X_69,one)) = addition(multiplication(X_68,X_69),multiplication(X_68,one)),
inference(subst,[],[right_distributivity:[bind(A,$fot(X_68)),bind(B,$fot(X_69)),bind(C,$fot(one))]]) ).
cnf(refute_0_663,plain,
( multiplication(X_68,addition(X_69,one)) != addition(multiplication(X_68,X_69),multiplication(X_68,one))
| multiplication(X_68,one) != X_68
| multiplication(X_68,addition(X_69,one)) = addition(multiplication(X_68,X_69),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_68,addition(X_69,one)),addition(multiplication(X_68,X_69),multiplication(X_68,one))) ),[1,1],$fot(X_68)]]) ).
cnf(refute_0_664,plain,
( multiplication(X_68,addition(X_69,one)) != addition(multiplication(X_68,X_69),multiplication(X_68,one))
| multiplication(X_68,addition(X_69,one)) = addition(multiplication(X_68,X_69),X_68) ),
inference(resolve,[$cnf( $equal(multiplication(X_68,one),X_68) )],[refute_0_162,refute_0_663]) ).
cnf(refute_0_665,plain,
multiplication(X_68,addition(X_69,one)) = addition(multiplication(X_68,X_69),X_68),
inference(resolve,[$cnf( $equal(multiplication(X_68,addition(X_69,one)),addition(multiplication(X_68,X_69),multiplication(X_68,one))) )],[refute_0_662,refute_0_664]) ).
cnf(refute_0_666,plain,
addition(multiplication(X_68,X_69),X_68) = addition(X_68,multiplication(X_68,X_69)),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_68)),bind(B,$fot(multiplication(X_68,X_69)))]]) ).
cnf(refute_0_667,plain,
( addition(multiplication(X_68,X_69),X_68) != addition(X_68,multiplication(X_68,X_69))
| multiplication(X_68,addition(X_69,one)) != addition(multiplication(X_68,X_69),X_68)
| multiplication(X_68,addition(X_69,one)) = addition(X_68,multiplication(X_68,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_68,addition(X_69,one)),addition(multiplication(X_68,X_69),X_68)) ),[1],$fot(addition(X_68,multiplication(X_68,X_69)))]]) ).
cnf(refute_0_668,plain,
( multiplication(X_68,addition(X_69,one)) != addition(multiplication(X_68,X_69),X_68)
| multiplication(X_68,addition(X_69,one)) = addition(X_68,multiplication(X_68,X_69)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_68,X_69),X_68),addition(X_68,multiplication(X_68,X_69))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
multiplication(X_68,addition(X_69,one)) = addition(X_68,multiplication(X_68,X_69)),
inference(resolve,[$cnf( $equal(multiplication(X_68,addition(X_69,one)),addition(multiplication(X_68,X_69),X_68)) )],[refute_0_665,refute_0_668]) ).
cnf(refute_0_670,plain,
multiplication(A,addition(X_72,one)) = addition(A,multiplication(A,X_72)),
inference(subst,[],[refute_0_669:[bind(X_68,$fot(A)),bind(X_69,$fot(X_72))]]) ).
cnf(refute_0_671,plain,
( multiplication(A,addition(X_72,one)) != addition(A,multiplication(A,X_72))
| addition(A,multiplication(A,X_72)) = multiplication(A,addition(X_72,one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(A,addition(X_72,one)))),bind(Y,$fot(addition(A,multiplication(A,X_72))))]]) ).
cnf(refute_0_672,plain,
addition(A,multiplication(A,X_72)) = multiplication(A,addition(X_72,one)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(X_72,one)),addition(A,multiplication(A,X_72))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
( addition(A,addition(multiplication(A,X_72),C)) != addition(addition(A,multiplication(A,X_72)),C)
| addition(A,multiplication(A,X_72)) != multiplication(A,addition(X_72,one))
| addition(A,addition(multiplication(A,X_72),C)) = addition(multiplication(A,addition(X_72,one)),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(multiplication(A,X_72),C)),addition(addition(A,multiplication(A,X_72)),C)) ),[1,0],$fot(multiplication(A,addition(X_72,one)))]]) ).
cnf(refute_0_674,plain,
( addition(A,addition(multiplication(A,X_72),C)) != addition(addition(A,multiplication(A,X_72)),C)
| addition(A,addition(multiplication(A,X_72),C)) = addition(multiplication(A,addition(X_72,one)),C) ),
inference(resolve,[$cnf( $equal(addition(A,multiplication(A,X_72)),multiplication(A,addition(X_72,one))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
addition(A,addition(multiplication(A,X_72),C)) = addition(multiplication(A,addition(X_72,one)),C),
inference(resolve,[$cnf( $equal(addition(A,addition(multiplication(A,X_72),C)),addition(addition(A,multiplication(A,X_72)),C)) )],[refute_0_661,refute_0_674]) ).
cnf(refute_0_676,plain,
addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)) = addition(multiplication(star(X_31),addition(X_31,one)),X_46),
inference(subst,[],[refute_0_675:[bind(A,$fot(star(X_31))),bind(C,$fot(X_46)),bind(X_72,$fot(X_31))]]) ).
cnf(refute_0_677,plain,
( addition(X_46,star(X_31)) != addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))
| addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)) != addition(multiplication(star(X_31),addition(X_31,one)),X_46)
| addition(X_46,star(X_31)) = addition(multiplication(star(X_31),addition(X_31,one)),X_46) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_46,star(X_31)),addition(multiplication(star(X_31),addition(X_31,one)),X_46)) ),[0],$fot(addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)))]]) ).
cnf(refute_0_678,plain,
( addition(X_46,star(X_31)) != addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))
| addition(X_46,star(X_31)) = addition(multiplication(star(X_31),addition(X_31,one)),X_46) ),
inference(resolve,[$cnf( $equal(addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46)),addition(multiplication(star(X_31),addition(X_31,one)),X_46)) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
addition(X_46,star(X_31)) = addition(multiplication(star(X_31),addition(X_31,one)),X_46),
inference(resolve,[$cnf( $equal(addition(X_46,star(X_31)),addition(star(X_31),addition(multiplication(star(X_31),X_31),X_46))) )],[refute_0_660,refute_0_678]) ).
cnf(refute_0_680,plain,
addition(zero,star(X_122)) = addition(multiplication(star(X_122),addition(X_122,one)),zero),
inference(subst,[],[refute_0_679:[bind(X_31,$fot(X_122)),bind(X_46,$fot(zero))]]) ).
cnf(refute_0_681,plain,
( addition(zero,star(X_122)) != addition(multiplication(star(X_122),addition(X_122,one)),zero)
| addition(multiplication(star(X_122),addition(X_122,one)),zero) = addition(zero,star(X_122)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(zero,star(X_122)))),bind(Y,$fot(addition(multiplication(star(X_122),addition(X_122,one)),zero)))]]) ).
cnf(refute_0_682,plain,
addition(multiplication(star(X_122),addition(X_122,one)),zero) = addition(zero,star(X_122)),
inference(resolve,[$cnf( $equal(addition(zero,star(X_122)),addition(multiplication(star(X_122),addition(X_122,one)),zero)) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
( addition(multiplication(star(X_122),addition(X_122,one)),zero) != addition(zero,star(X_122))
| addition(multiplication(star(X_122),addition(X_122,one)),zero) != multiplication(star(X_122),addition(X_122,one))
| addition(zero,star(X_122)) = multiplication(star(X_122),addition(X_122,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(star(X_122),addition(X_122,one)),zero),multiplication(star(X_122),addition(X_122,one))) ),[0],$fot(addition(zero,star(X_122)))]]) ).
cnf(refute_0_684,plain,
( addition(multiplication(star(X_122),addition(X_122,one)),zero) != multiplication(star(X_122),addition(X_122,one))
| addition(zero,star(X_122)) = multiplication(star(X_122),addition(X_122,one)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(star(X_122),addition(X_122,one)),zero),addition(zero,star(X_122))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
addition(zero,star(X_122)) = multiplication(star(X_122),addition(X_122,one)),
inference(resolve,[$cnf( $equal(addition(multiplication(star(X_122),addition(X_122,one)),zero),multiplication(star(X_122),addition(X_122,one))) )],[refute_0_618,refute_0_684]) ).
cnf(refute_0_686,plain,
addition(zero,star(X_122)) = star(X_122),
inference(subst,[],[refute_0_352:[bind(A,$fot(star(X_122)))]]) ).
cnf(refute_0_687,plain,
( addition(zero,star(X_122)) != multiplication(star(X_122),addition(X_122,one))
| addition(zero,star(X_122)) != star(X_122)
| star(X_122) = multiplication(star(X_122),addition(X_122,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,star(X_122)),multiplication(star(X_122),addition(X_122,one))) ),[0],$fot(star(X_122))]]) ).
cnf(refute_0_688,plain,
( addition(zero,star(X_122)) != multiplication(star(X_122),addition(X_122,one))
| star(X_122) = multiplication(star(X_122),addition(X_122,one)) ),
inference(resolve,[$cnf( $equal(addition(zero,star(X_122)),star(X_122)) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
star(X_122) = multiplication(star(X_122),addition(X_122,one)),
inference(resolve,[$cnf( $equal(addition(zero,star(X_122)),multiplication(star(X_122),addition(X_122,one))) )],[refute_0_685,refute_0_688]) ).
cnf(refute_0_690,plain,
( star(X_122) != multiplication(star(X_122),addition(X_122,one))
| multiplication(star(X_122),addition(X_122,one)) = star(X_122) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(star(X_122))),bind(Y,$fot(multiplication(star(X_122),addition(X_122,one))))]]) ).
cnf(refute_0_691,plain,
multiplication(star(X_122),addition(X_122,one)) = star(X_122),
inference(resolve,[$cnf( $equal(star(X_122),multiplication(star(X_122),addition(X_122,one))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
( ifeq(leq(multiplication(star(X_122),addition(X_122,one)),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != true
| multiplication(star(X_122),addition(X_122,one)) != star(X_122)
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(multiplication(star(X_122),addition(X_122,one)),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),true) ),[0,0,0],$fot(star(X_122))]]) ).
cnf(refute_0_693,plain,
( ifeq(leq(multiplication(star(X_122),addition(X_122,one)),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != true
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = true ),
inference(resolve,[$cnf( $equal(multiplication(star(X_122),addition(X_122,one)),star(X_122)) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(multiplication(star(X_122),addition(X_122,one)),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),true) )],[refute_0_617,refute_0_693]) ).
cnf(refute_0_695,plain,
ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true) = leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)))),bind(C,$fot(true))]]) ).
cnf(refute_0_696,plain,
multiplication(star(X_124),multiplication(addition(X_124,one),C)) = multiplication(multiplication(star(X_124),addition(X_124,one)),C),
inference(subst,[],[multiplicative_associativity:[bind(A,$fot(star(X_124))),bind(B,$fot(addition(X_124,one)))]]) ).
cnf(refute_0_697,plain,
star(X_124) = multiplication(star(X_124),addition(X_124,one)),
inference(subst,[],[refute_0_689:[bind(X_122,$fot(X_124))]]) ).
cnf(refute_0_698,plain,
( star(X_124) != multiplication(star(X_124),addition(X_124,one))
| multiplication(star(X_124),addition(X_124,one)) = star(X_124) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(star(X_124))),bind(Y,$fot(multiplication(star(X_124),addition(X_124,one))))]]) ).
cnf(refute_0_699,plain,
multiplication(star(X_124),addition(X_124,one)) = star(X_124),
inference(resolve,[$cnf( $equal(star(X_124),multiplication(star(X_124),addition(X_124,one))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
( multiplication(star(X_124),addition(X_124,one)) != star(X_124)
| multiplication(star(X_124),multiplication(addition(X_124,one),C)) != multiplication(multiplication(star(X_124),addition(X_124,one)),C)
| multiplication(star(X_124),multiplication(addition(X_124,one),C)) = multiplication(star(X_124),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(X_124),multiplication(addition(X_124,one),C)),multiplication(multiplication(star(X_124),addition(X_124,one)),C)) ),[1,0],$fot(star(X_124))]]) ).
cnf(refute_0_701,plain,
( multiplication(star(X_124),multiplication(addition(X_124,one),C)) != multiplication(multiplication(star(X_124),addition(X_124,one)),C)
| multiplication(star(X_124),multiplication(addition(X_124,one),C)) = multiplication(star(X_124),C) ),
inference(resolve,[$cnf( $equal(multiplication(star(X_124),addition(X_124,one)),star(X_124)) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
multiplication(star(X_124),multiplication(addition(X_124,one),C)) = multiplication(star(X_124),C),
inference(resolve,[$cnf( $equal(multiplication(star(X_124),multiplication(addition(X_124,one),C)),multiplication(multiplication(star(X_124),addition(X_124,one)),C)) )],[refute_0_696,refute_0_701]) ).
cnf(refute_0_703,plain,
multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))) = multiplication(star(X_122),star(addition(X_122,one))),
inference(subst,[],[refute_0_702:[bind(C,$fot(star(addition(X_122,one)))),bind(X_124,$fot(X_122))]]) ).
cnf(refute_0_704,plain,
leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)) = leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),
introduced(tautology,[refl,[$fot(leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)))]]) ).
cnf(refute_0_705,plain,
( leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)) != leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122))
| multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))) != multiplication(star(X_122),star(addition(X_122,one)))
| leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)) = leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)) ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122))) ),[1,0],$fot(multiplication(star(X_122),star(addition(X_122,one))))]]) ).
cnf(refute_0_706,plain,
( multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))) != multiplication(star(X_122),star(addition(X_122,one)))
| leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)) = leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)) ),
inference(resolve,[$cnf( $equal(leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)) = leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),
inference(resolve,[$cnf( $equal(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),multiplication(star(X_122),star(addition(X_122,one)))) )],[refute_0_703,refute_0_706]) ).
cnf(refute_0_708,plain,
ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),
introduced(tautology,[refl,[$fot(ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true))]]) ).
cnf(refute_0_709,plain,
( ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true)
| leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)) != leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))
| ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true)) ),[1,2],$fot(leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)))]]) ).
cnf(refute_0_710,plain,
( leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)) != leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))
| ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true) ),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true)) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true),
inference(resolve,[$cnf( $equal(leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))) )],[refute_0_707,refute_0_710]) ).
cnf(refute_0_712,plain,
leq(star(X_122),star(X_122)) = true,
inference(subst,[],[refute_0_186:[bind(X_26,$fot(star(X_122)))]]) ).
cnf(refute_0_713,plain,
ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),
introduced(tautology,[refl,[$fot(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true))]]) ).
cnf(refute_0_714,plain,
( ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true)
| leq(star(X_122),star(X_122)) != true
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_715,plain,
( leq(star(X_122),star(X_122)) != true
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true)) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),
inference(resolve,[$cnf( $equal(leq(star(X_122),star(X_122)),true) )],[refute_0_712,refute_0_715]) ).
cnf(refute_0_717,plain,
( ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true)
| ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true)
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true))),bind(Y,$fot(ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true))),bind(Z,$fot(ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true)))]]) ).
cnf(refute_0_718,plain,
( ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true)
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true)) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true)) )],[refute_0_711,refute_0_718]) ).
cnf(refute_0_720,plain,
( ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true)
| ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true) != leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true))),bind(Y,$fot(ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true))),bind(Z,$fot(leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))))]]) ).
cnf(refute_0_721,plain,
( ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true) != leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)) ),
inference(resolve,[$cnf( $equal(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true)) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) = leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)),true),leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))) )],[refute_0_695,refute_0_721]) ).
cnf(refute_0_723,plain,
( ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))
| ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != true
| leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),true) ),[0],$fot(leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)))]]) ).
cnf(refute_0_724,plain,
( ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true) != true
| leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
leq(multiplication(star(X_122),star(addition(X_122,one))),star(X_122)) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(star(X_122),star(X_122)),true,leq(multiplication(star(X_122),multiplication(addition(X_122,one),star(addition(X_122,one)))),star(X_122)),true),true) )],[refute_0_694,refute_0_724]) ).
cnf(refute_0_726,plain,
leq(multiplication(star(X_292),star(addition(X_292,one))),star(X_292)) = true,
inference(subst,[],[refute_0_725:[bind(X_122,$fot(X_292))]]) ).
cnf(refute_0_727,plain,
( ifeq2(leq(multiplication(star(X_292),star(addition(X_292,one))),star(X_292)),true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) != star(X_292)
| leq(multiplication(star(X_292),star(addition(X_292,one))),star(X_292)) != true
| ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = star(X_292) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(multiplication(star(X_292),star(addition(X_292,one))),star(X_292)),true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)),star(X_292)) ),[0,0],$fot(true)]]) ).
cnf(refute_0_728,plain,
( ifeq2(leq(multiplication(star(X_292),star(addition(X_292,one))),star(X_292)),true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) != star(X_292)
| ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = star(X_292) ),
inference(resolve,[$cnf( $equal(leq(multiplication(star(X_292),star(addition(X_292,one))),star(X_292)),true) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = star(X_292),
inference(resolve,[$cnf( $equal(ifeq2(leq(multiplication(star(X_292),star(addition(X_292,one))),star(X_292)),true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)),star(X_292)) )],[refute_0_597,refute_0_728]) ).
cnf(refute_0_730,plain,
addition(one,star(addition(X_292,one))) = star(addition(X_292,one)),
inference(subst,[],[refute_0_196:[bind(X_22,$fot(addition(X_292,one)))]]) ).
cnf(refute_0_731,plain,
multiplication(star(X_292),addition(one,star(addition(X_292,one)))) = multiplication(star(X_292),addition(one,star(addition(X_292,one)))),
introduced(tautology,[refl,[$fot(multiplication(star(X_292),addition(one,star(addition(X_292,one)))))]]) ).
cnf(refute_0_732,plain,
( addition(one,star(addition(X_292,one))) != star(addition(X_292,one))
| multiplication(star(X_292),addition(one,star(addition(X_292,one)))) != multiplication(star(X_292),addition(one,star(addition(X_292,one))))
| multiplication(star(X_292),addition(one,star(addition(X_292,one)))) = multiplication(star(X_292),star(addition(X_292,one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(star(X_292),addition(one,star(addition(X_292,one)))),multiplication(star(X_292),addition(one,star(addition(X_292,one))))) ),[1,1],$fot(star(addition(X_292,one)))]]) ).
cnf(refute_0_733,plain,
( addition(one,star(addition(X_292,one))) != star(addition(X_292,one))
| multiplication(star(X_292),addition(one,star(addition(X_292,one)))) = multiplication(star(X_292),star(addition(X_292,one))) ),
inference(resolve,[$cnf( $equal(multiplication(star(X_292),addition(one,star(addition(X_292,one)))),multiplication(star(X_292),addition(one,star(addition(X_292,one))))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
multiplication(star(X_292),addition(one,star(addition(X_292,one)))) = multiplication(star(X_292),star(addition(X_292,one))),
inference(resolve,[$cnf( $equal(addition(one,star(addition(X_292,one))),star(addition(X_292,one))) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))) = multiplication(star(X_292),addition(one,star(addition(X_292,one)))),
inference(subst,[],[refute_0_409:[bind(X_150,$fot(star(addition(X_292,one)))),bind(X_18,$fot(star(X_292)))]]) ).
cnf(refute_0_736,plain,
ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))))),bind(C,$fot(star(X_292)))]]) ).
cnf(refute_0_737,plain,
( addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))) != multiplication(star(X_292),addition(one,star(addition(X_292,one))))
| ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) != addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one))))
| ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = multiplication(star(X_292),addition(one,star(addition(X_292,one)))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)))),bind(Y,$fot(addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))))),bind(Z,$fot(multiplication(star(X_292),addition(one,star(addition(X_292,one))))))]]) ).
cnf(refute_0_738,plain,
( addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))) != multiplication(star(X_292),addition(one,star(addition(X_292,one))))
| ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = multiplication(star(X_292),addition(one,star(addition(X_292,one)))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)),addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one))))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = multiplication(star(X_292),addition(one,star(addition(X_292,one)))),
inference(resolve,[$cnf( $equal(addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),multiplication(star(X_292),addition(one,star(addition(X_292,one))))) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
( ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) != multiplication(star(X_292),addition(one,star(addition(X_292,one))))
| multiplication(star(X_292),addition(one,star(addition(X_292,one)))) != multiplication(star(X_292),star(addition(X_292,one)))
| ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = multiplication(star(X_292),star(addition(X_292,one))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)))),bind(Y,$fot(multiplication(star(X_292),addition(one,star(addition(X_292,one)))))),bind(Z,$fot(multiplication(star(X_292),star(addition(X_292,one)))))]]) ).
cnf(refute_0_741,plain,
( multiplication(star(X_292),addition(one,star(addition(X_292,one)))) != multiplication(star(X_292),star(addition(X_292,one)))
| ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = multiplication(star(X_292),star(addition(X_292,one))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)),multiplication(star(X_292),addition(one,star(addition(X_292,one))))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) = multiplication(star(X_292),star(addition(X_292,one))),
inference(resolve,[$cnf( $equal(multiplication(star(X_292),addition(one,star(addition(X_292,one)))),multiplication(star(X_292),star(addition(X_292,one)))) )],[refute_0_734,refute_0_741]) ).
cnf(refute_0_743,plain,
( ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) != multiplication(star(X_292),star(addition(X_292,one)))
| ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) != star(X_292)
| multiplication(star(X_292),star(addition(X_292,one))) = star(X_292) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)),star(X_292)) ),[0],$fot(multiplication(star(X_292),star(addition(X_292,one))))]]) ).
cnf(refute_0_744,plain,
( ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)) != star(X_292)
| multiplication(star(X_292),star(addition(X_292,one))) = star(X_292) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)),multiplication(star(X_292),star(addition(X_292,one)))) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
multiplication(star(X_292),star(addition(X_292,one))) = star(X_292),
inference(resolve,[$cnf( $equal(ifeq2(true,true,addition(star(X_292),multiplication(star(X_292),star(addition(X_292,one)))),star(X_292)),star(X_292)) )],[refute_0_729,refute_0_744]) ).
cnf(refute_0_746,plain,
multiplication(star(X_90),star(addition(X_90,one))) = star(X_90),
inference(subst,[],[refute_0_745:[bind(X_292,$fot(X_90))]]) ).
cnf(refute_0_747,plain,
leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))) = leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),
introduced(tautology,[refl,[$fot(leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))))]]) ).
cnf(refute_0_748,plain,
( leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))) != leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90)))
| multiplication(star(X_90),star(addition(X_90,one))) != star(X_90)
| leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))) = leq(star(X_90),star(addition(one,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90)))) ),[1,0],$fot(star(X_90))]]) ).
cnf(refute_0_749,plain,
( multiplication(star(X_90),star(addition(X_90,one))) != star(X_90)
| leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))) = leq(star(X_90),star(addition(one,X_90))) ),
inference(resolve,[$cnf( $equal(leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90)))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))) = leq(star(X_90),star(addition(one,X_90))),
inference(resolve,[$cnf( $equal(multiplication(star(X_90),star(addition(X_90,one))),star(X_90)) )],[refute_0_746,refute_0_749]) ).
cnf(refute_0_751,plain,
ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),
introduced(tautology,[refl,[$fot(ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true))]]) ).
cnf(refute_0_752,plain,
( ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true)
| leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))) != leq(star(X_90),star(addition(one,X_90)))
| ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true)) ),[1,2],$fot(leq(star(X_90),star(addition(one,X_90))))]]) ).
cnf(refute_0_753,plain,
( leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))) != leq(star(X_90),star(addition(one,X_90)))
| ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true) ),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true)) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true),
inference(resolve,[$cnf( $equal(leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),leq(star(X_90),star(addition(one,X_90)))) )],[refute_0_750,refute_0_753]) ).
cnf(refute_0_755,plain,
ifeq(leq(addition(one,multiplication(star(addition(X_418,X_417)),addition(X_417,X_418))),star(addition(X_418,X_417))),true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) = true,
inference(subst,[],[refute_0_21:[bind(X_96,$fot(star(addition(X_418,X_417)))),bind(X_97,$fot(addition(X_417,X_418)))]]) ).
cnf(refute_0_756,plain,
leq(addition(one,multiplication(star(addition(X_140,X_139)),addition(X_140,X_139))),star(addition(X_140,X_139))) = true,
inference(subst,[],[star_unfold_left:[bind(A,$fot(addition(X_140,X_139)))]]) ).
cnf(refute_0_757,plain,
addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) = addition(multiplication(X_68,X_69),multiplication(X_68,X_70)),
inference(subst,[],[additive_commutativity:[bind(A,$fot(multiplication(X_68,X_70))),bind(B,$fot(multiplication(X_68,X_69)))]]) ).
cnf(refute_0_758,plain,
multiplication(X_68,addition(X_69,X_70)) = addition(multiplication(X_68,X_69),multiplication(X_68,X_70)),
inference(subst,[],[right_distributivity:[bind(A,$fot(X_68)),bind(B,$fot(X_69)),bind(C,$fot(X_70))]]) ).
cnf(refute_0_759,plain,
( multiplication(X_68,addition(X_69,X_70)) != addition(multiplication(X_68,X_69),multiplication(X_68,X_70))
| addition(multiplication(X_68,X_69),multiplication(X_68,X_70)) = multiplication(X_68,addition(X_69,X_70)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(X_68,addition(X_69,X_70)))),bind(Y,$fot(addition(multiplication(X_68,X_69),multiplication(X_68,X_70))))]]) ).
cnf(refute_0_760,plain,
addition(multiplication(X_68,X_69),multiplication(X_68,X_70)) = multiplication(X_68,addition(X_69,X_70)),
inference(resolve,[$cnf( $equal(multiplication(X_68,addition(X_69,X_70)),addition(multiplication(X_68,X_69),multiplication(X_68,X_70))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
( addition(multiplication(X_68,X_69),multiplication(X_68,X_70)) != multiplication(X_68,addition(X_69,X_70))
| addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) != addition(multiplication(X_68,X_69),multiplication(X_68,X_70))
| addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) = multiplication(X_68,addition(X_69,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_68,X_70),multiplication(X_68,X_69)),addition(multiplication(X_68,X_69),multiplication(X_68,X_70))) ),[1],$fot(multiplication(X_68,addition(X_69,X_70)))]]) ).
cnf(refute_0_762,plain,
( addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) != addition(multiplication(X_68,X_69),multiplication(X_68,X_70))
| addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) = multiplication(X_68,addition(X_69,X_70)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_68,X_69),multiplication(X_68,X_70)),multiplication(X_68,addition(X_69,X_70))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) = multiplication(X_68,addition(X_69,X_70)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_68,X_70),multiplication(X_68,X_69)),addition(multiplication(X_68,X_69),multiplication(X_68,X_70))) )],[refute_0_757,refute_0_762]) ).
cnf(refute_0_764,plain,
addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) = multiplication(X_68,addition(X_70,X_69)),
inference(subst,[],[refute_0_422:[bind(A,$fot(X_68)),bind(B,$fot(X_70)),bind(C,$fot(X_69))]]) ).
cnf(refute_0_765,plain,
( addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) != multiplication(X_68,addition(X_69,X_70))
| addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) != multiplication(X_68,addition(X_70,X_69))
| multiplication(X_68,addition(X_70,X_69)) = multiplication(X_68,addition(X_69,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_68,X_70),multiplication(X_68,X_69)),multiplication(X_68,addition(X_69,X_70))) ),[0],$fot(multiplication(X_68,addition(X_70,X_69)))]]) ).
cnf(refute_0_766,plain,
( addition(multiplication(X_68,X_70),multiplication(X_68,X_69)) != multiplication(X_68,addition(X_69,X_70))
| multiplication(X_68,addition(X_70,X_69)) = multiplication(X_68,addition(X_69,X_70)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_68,X_70),multiplication(X_68,X_69)),multiplication(X_68,addition(X_70,X_69))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
multiplication(X_68,addition(X_70,X_69)) = multiplication(X_68,addition(X_69,X_70)),
inference(resolve,[$cnf( $equal(addition(multiplication(X_68,X_70),multiplication(X_68,X_69)),multiplication(X_68,addition(X_69,X_70))) )],[refute_0_763,refute_0_766]) ).
cnf(refute_0_768,plain,
multiplication(star(addition(X_140,X_139)),addition(X_140,X_139)) = multiplication(star(addition(X_140,X_139)),addition(X_139,X_140)),
inference(subst,[],[refute_0_767:[bind(X_68,$fot(star(addition(X_140,X_139)))),bind(X_69,$fot(X_139)),bind(X_70,$fot(X_140))]]) ).
cnf(refute_0_769,plain,
( leq(addition(one,multiplication(star(addition(X_140,X_139)),addition(X_140,X_139))),star(addition(X_140,X_139))) != true
| multiplication(star(addition(X_140,X_139)),addition(X_140,X_139)) != multiplication(star(addition(X_140,X_139)),addition(X_139,X_140))
| leq(addition(one,multiplication(star(addition(X_140,X_139)),addition(X_139,X_140))),star(addition(X_140,X_139))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(addition(one,multiplication(star(addition(X_140,X_139)),addition(X_140,X_139))),star(addition(X_140,X_139))),true) ),[0,0,1],$fot(multiplication(star(addition(X_140,X_139)),addition(X_139,X_140)))]]) ).
cnf(refute_0_770,plain,
( leq(addition(one,multiplication(star(addition(X_140,X_139)),addition(X_140,X_139))),star(addition(X_140,X_139))) != true
| leq(addition(one,multiplication(star(addition(X_140,X_139)),addition(X_139,X_140))),star(addition(X_140,X_139))) = true ),
inference(resolve,[$cnf( $equal(multiplication(star(addition(X_140,X_139)),addition(X_140,X_139)),multiplication(star(addition(X_140,X_139)),addition(X_139,X_140))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
leq(addition(one,multiplication(star(addition(X_140,X_139)),addition(X_139,X_140))),star(addition(X_140,X_139))) = true,
inference(resolve,[$cnf( $equal(leq(addition(one,multiplication(star(addition(X_140,X_139)),addition(X_140,X_139))),star(addition(X_140,X_139))),true) )],[refute_0_756,refute_0_770]) ).
cnf(refute_0_772,plain,
leq(addition(one,multiplication(star(addition(X_418,X_417)),addition(X_417,X_418))),star(addition(X_418,X_417))) = true,
inference(subst,[],[refute_0_771:[bind(X_139,$fot(X_417)),bind(X_140,$fot(X_418))]]) ).
cnf(refute_0_773,plain,
( ifeq(leq(addition(one,multiplication(star(addition(X_418,X_417)),addition(X_417,X_418))),star(addition(X_418,X_417))),true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) != true
| leq(addition(one,multiplication(star(addition(X_418,X_417)),addition(X_417,X_418))),star(addition(X_418,X_417))) != true
| ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(addition(one,multiplication(star(addition(X_418,X_417)),addition(X_417,X_418))),star(addition(X_418,X_417))),true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_774,plain,
( ifeq(leq(addition(one,multiplication(star(addition(X_418,X_417)),addition(X_417,X_418))),star(addition(X_418,X_417))),true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) != true
| ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) = true ),
inference(resolve,[$cnf( $equal(leq(addition(one,multiplication(star(addition(X_418,X_417)),addition(X_417,X_418))),star(addition(X_418,X_417))),true) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(addition(one,multiplication(star(addition(X_418,X_417)),addition(X_417,X_418))),star(addition(X_418,X_417))),true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true),true) )],[refute_0_755,refute_0_774]) ).
cnf(refute_0_776,plain,
ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) = leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),
inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))))),bind(C,$fot(true))]]) ).
cnf(refute_0_777,plain,
( ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) != leq(star(addition(X_417,X_418)),star(addition(X_418,X_417)))
| ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) != true
| leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true),true) ),[0],$fot(leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))))]]) ).
cnf(refute_0_778,plain,
( ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true) != true
| leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true),leq(star(addition(X_417,X_418)),star(addition(X_418,X_417)))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(star(addition(X_417,X_418)),star(addition(X_418,X_417))),true),true) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
leq(star(addition(X_90,one)),star(addition(one,X_90))) = true,
inference(subst,[],[refute_0_779:[bind(X_417,$fot(X_90)),bind(X_418,$fot(one))]]) ).
cnf(refute_0_781,plain,
ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),
introduced(tautology,[refl,[$fot(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true))]]) ).
cnf(refute_0_782,plain,
( ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true)
| leq(star(addition(X_90,one)),star(addition(one,X_90))) != true
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_783,plain,
( leq(star(addition(X_90,one)),star(addition(one,X_90))) != true
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true)) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),
inference(resolve,[$cnf( $equal(leq(star(addition(X_90,one)),star(addition(one,X_90))),true) )],[refute_0_780,refute_0_783]) ).
cnf(refute_0_785,plain,
( ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true)
| ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true)
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true))),bind(Y,$fot(ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true))),bind(Z,$fot(ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true)))]]) ).
cnf(refute_0_786,plain,
( ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true)
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true) ),
inference(resolve,[$cnf( $equal(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true)) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true)) )],[refute_0_754,refute_0_786]) ).
cnf(refute_0_788,plain,
( ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true)
| ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true) != leq(star(X_90),star(addition(one,X_90)))
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = leq(star(X_90),star(addition(one,X_90))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true))),bind(Y,$fot(ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true))),bind(Z,$fot(leq(star(X_90),star(addition(one,X_90)))))]]) ).
cnf(refute_0_789,plain,
( ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true) != leq(star(X_90),star(addition(one,X_90)))
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = leq(star(X_90),star(addition(one,X_90))) ),
inference(resolve,[$cnf( $equal(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true)) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) = leq(star(X_90),star(addition(one,X_90))),
inference(resolve,[$cnf( $equal(ifeq(true,true,leq(star(X_90),star(addition(one,X_90))),true),leq(star(X_90),star(addition(one,X_90)))) )],[refute_0_596,refute_0_789]) ).
cnf(refute_0_791,plain,
( ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != leq(star(X_90),star(addition(one,X_90)))
| ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != true
| leq(star(X_90),star(addition(one,X_90))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),true) ),[0],$fot(leq(star(X_90),star(addition(one,X_90))))]]) ).
cnf(refute_0_792,plain,
( ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true) != true
| leq(star(X_90),star(addition(one,X_90))) = true ),
inference(resolve,[$cnf( $equal(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),leq(star(X_90),star(addition(one,X_90)))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
leq(star(X_90),star(addition(one,X_90))) = true,
inference(resolve,[$cnf( $equal(ifeq(leq(star(addition(X_90,one)),star(addition(one,X_90))),true,leq(multiplication(star(X_90),star(addition(X_90,one))),star(addition(one,X_90))),true),true) )],[refute_0_595,refute_0_792]) ).
cnf(refute_0_794,plain,
leq(star(X_225),star(addition(one,X_225))) = true,
inference(subst,[],[refute_0_793:[bind(X_90,$fot(X_225))]]) ).
cnf(refute_0_795,plain,
ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),
introduced(tautology,[refl,[$fot(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))))]]) ).
cnf(refute_0_796,plain,
( ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225)))
| leq(star(X_225),star(addition(one,X_225))) != true
| ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = ifeq2(true,true,star(X_225),star(addition(one,X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225)))) ),[1,0],$fot(true)]]) ).
cnf(refute_0_797,plain,
( leq(star(X_225),star(addition(one,X_225))) != true
| ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = ifeq2(true,true,star(X_225),star(addition(one,X_225))) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225)))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = ifeq2(true,true,star(X_225),star(addition(one,X_225))),
inference(resolve,[$cnf( $equal(leq(star(X_225),star(addition(one,X_225))),true) )],[refute_0_794,refute_0_797]) ).
cnf(refute_0_799,plain,
( ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != ifeq2(true,true,star(X_225),star(addition(one,X_225)))
| ifeq2(true,true,star(X_225),star(addition(one,X_225))) != star(X_225)
| ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(X_225) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))))),bind(Y,$fot(ifeq2(true,true,star(X_225),star(addition(one,X_225))))),bind(Z,$fot(star(X_225)))]]) ).
cnf(refute_0_800,plain,
( ifeq2(true,true,star(X_225),star(addition(one,X_225))) != star(X_225)
| ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(X_225) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),ifeq2(true,true,star(X_225),star(addition(one,X_225)))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) = star(X_225),
inference(resolve,[$cnf( $equal(ifeq2(true,true,star(X_225),star(addition(one,X_225))),star(X_225)) )],[refute_0_495,refute_0_800]) ).
cnf(refute_0_802,plain,
( ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != star(X_225)
| ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != star(addition(one,X_225))
| star(X_225) = star(addition(one,X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) ),[0],$fot(star(X_225))]]) ).
cnf(refute_0_803,plain,
( ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))) != star(addition(one,X_225))
| star(X_225) = star(addition(one,X_225)) ),
inference(resolve,[$cnf( $equal(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),star(X_225)) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
star(X_225) = star(addition(one,X_225)),
inference(resolve,[$cnf( $equal(ifeq2(leq(star(X_225),star(addition(one,X_225))),true,star(X_225),star(addition(one,X_225))),star(addition(one,X_225))) )],[refute_0_494,refute_0_803]) ).
cnf(refute_0_805,plain,
( star(X_225) != star(addition(one,X_225))
| star(addition(one,X_225)) = star(X_225) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(star(X_225))),bind(Y,$fot(star(addition(one,X_225))))]]) ).
cnf(refute_0_806,plain,
star(addition(one,X_225)) = star(X_225),
inference(resolve,[$cnf( $equal(star(X_225),star(addition(one,X_225))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
star(addition(one,X_684)) = star(X_684),
inference(subst,[],[refute_0_806:[bind(X_225,$fot(X_684))]]) ).
cnf(refute_0_808,plain,
leq(star(addition(one,X_684)),star(addition(X_685,X_684))) = leq(star(addition(one,X_684)),star(addition(X_685,X_684))),
introduced(tautology,[refl,[$fot(leq(star(addition(one,X_684)),star(addition(X_685,X_684))))]]) ).
cnf(refute_0_809,plain,
( leq(star(addition(one,X_684)),star(addition(X_685,X_684))) != leq(star(addition(one,X_684)),star(addition(X_685,X_684)))
| star(addition(one,X_684)) != star(X_684)
| leq(star(addition(one,X_684)),star(addition(X_685,X_684))) = leq(star(X_684),star(addition(X_685,X_684))) ),
introduced(tautology,[equality,[$cnf( $equal(leq(star(addition(one,X_684)),star(addition(X_685,X_684))),leq(star(addition(one,X_684)),star(addition(X_685,X_684)))) ),[1,0],$fot(star(X_684))]]) ).
cnf(refute_0_810,plain,
( star(addition(one,X_684)) != star(X_684)
| leq(star(addition(one,X_684)),star(addition(X_685,X_684))) = leq(star(X_684),star(addition(X_685,X_684))) ),
inference(resolve,[$cnf( $equal(leq(star(addition(one,X_684)),star(addition(X_685,X_684))),leq(star(addition(one,X_684)),star(addition(X_685,X_684)))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
leq(star(addition(one,X_684)),star(addition(X_685,X_684))) = leq(star(X_684),star(addition(X_685,X_684))),
inference(resolve,[$cnf( $equal(star(addition(one,X_684)),star(X_684)) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
( leq(star(addition(one,X_684)),star(addition(X_685,X_684))) != leq(star(X_684),star(addition(X_685,X_684)))
| leq(star(addition(one,X_684)),star(addition(X_685,X_684))) != true
| leq(star(X_684),star(addition(X_685,X_684))) = true ),
introduced(tautology,[equality,[$cnf( $equal(leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) ),[0],$fot(leq(star(X_684),star(addition(X_685,X_684))))]]) ).
cnf(refute_0_813,plain,
( leq(star(addition(one,X_684)),star(addition(X_685,X_684))) != true
| leq(star(X_684),star(addition(X_685,X_684))) = true ),
inference(resolve,[$cnf( $equal(leq(star(addition(one,X_684)),star(addition(X_685,X_684))),leq(star(X_684),star(addition(X_685,X_684)))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
leq(star(X_684),star(addition(X_685,X_684))) = true,
inference(resolve,[$cnf( $equal(leq(star(addition(one,X_684)),star(addition(X_685,X_684))),true) )],[refute_0_462,refute_0_813]) ).
cnf(refute_0_815,plain,
leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))) = true,
inference(subst,[],[refute_0_814:[bind(X_684,$fot(sK1_goals_X0)),bind(X_685,$fot(one))]]) ).
cnf(refute_0_816,plain,
tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),
introduced(tautology,[refl,[$fot(tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))))]]) ).
cnf(refute_0_817,plain,
( leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))) != true
| tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))
| tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,true) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))) ),[1,1],$fot(true)]]) ).
cnf(refute_0_818,plain,
( leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))) != true
| tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,true) ),
inference(resolve,[$cnf( $equal(tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,true),
inference(resolve,[$cnf( $equal(leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))),true) )],[refute_0_815,refute_0_818]) ).
cnf(refute_0_820,plain,
( tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,true)
| tuple(true,true) != tuple(true,true)
| tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,true) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(true,true)) ),[0],$fot(tuple(true,true))]]) ).
cnf(refute_0_821,plain,
( tuple(true,true) != tuple(true,true)
| tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) = tuple(true,true) ),
inference(resolve,[$cnf( $equal(tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(true,true)) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
tuple(true,true) != tuple(true,true),
inference(resolve,[$cnf( $equal(tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))),tuple(true,true)) )],[refute_0_821,refute_0_221]) ).
cnf(refute_0_823,plain,
tuple(true,true) = tuple(true,true),
introduced(tautology,[refl,[$fot(tuple(true,true))]]) ).
cnf(refute_0_824,plain,
$false,
inference(resolve,[$cnf( $equal(tuple(true,true),tuple(true,true)) )],[refute_0_823,refute_0_822]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE044-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 13:42:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 71.11/71.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.11/71.31
% 71.11/71.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 71.19/71.39
%------------------------------------------------------------------------------