TSTP Solution File: GRP728-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP728-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : Sat Jul 16 10:50:32 EDT 2022
% Result : Unsatisfiable 6.84s 7.02s
% Output : CNFRefutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 100
% Number of leaves : 281
% Syntax : Number of clauses : 1079 ( 550 unt; 0 nHn; 516 RR)
% Number of literals : 1851 (1850 equ; 774 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 : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 2435 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(unit,A) = A ).
cnf(c02,axiom,
mult(A,unit) = A ).
cnf(c03,axiom,
mult(A,i(A)) = unit ).
cnf(c04,axiom,
mult(i(A),A) = unit ).
cnf(c05,axiom,
i(mult(A,B)) = mult(i(A),i(B)) ).
cnf(c06,axiom,
mult(i(A),mult(A,B)) = B ).
cnf(c07,axiom,
rd(mult(A,B),B) = A ).
cnf(c08,axiom,
mult(rd(A,B),B) = A ).
cnf(c09,axiom,
mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))) ).
cnf(c10,axiom,
mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)) ).
cnf(c11,axiom,
mult(A,B) = mult(mult(B,A),op_k(A,B)) ).
cnf(c13,axiom,
op_r(A,B,C) = rd(mult(mult(A,B),C),mult(B,C)) ).
cnf(c14,axiom,
op_t(A,B) = mult(i(B),mult(A,B)) ).
cnf(c21,axiom,
asoc(asoc(A,B,C),D,E) = unit ).
cnf(c22,axiom,
asoc(A,B,asoc(C,D,E)) = unit ).
cnf(goals,negated_conjecture,
op_k(op_k(a,b),c) != unit ).
cnf(refute_0_0,plain,
mult(i(rd(X_48,X_47)),rd(X_48,X_47)) = unit,
inference(subst,[],[c04:[bind(A,$fot(rd(X_48,X_47)))]]) ).
cnf(refute_0_1,plain,
rd(mult(i(rd(X_26,B)),X_26),X_26) = i(rd(X_26,B)),
inference(subst,[],[c07:[bind(A,$fot(i(rd(X_26,B)))),bind(B,$fot(X_26))]]) ).
cnf(refute_0_2,plain,
mult(i(rd(X_6,B)),mult(rd(X_6,B),B)) = B,
inference(subst,[],[c06:[bind(A,$fot(rd(X_6,B)))]]) ).
cnf(refute_0_3,plain,
mult(rd(X_6,B),B) = X_6,
inference(subst,[],[c08:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_4,plain,
( mult(i(rd(X_6,B)),mult(rd(X_6,B),B)) != B
| mult(rd(X_6,B),B) != X_6
| mult(i(rd(X_6,B)),X_6) = B ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(rd(X_6,B)),mult(rd(X_6,B),B)),B) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_5,plain,
( mult(i(rd(X_6,B)),mult(rd(X_6,B),B)) != B
| mult(i(rd(X_6,B)),X_6) = B ),
inference(resolve,[$cnf( $equal(mult(rd(X_6,B),B),X_6) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
mult(i(rd(X_6,B)),X_6) = B,
inference(resolve,[$cnf( $equal(mult(i(rd(X_6,B)),mult(rd(X_6,B),B)),B) )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
mult(i(rd(X_26,B)),X_26) = B,
inference(subst,[],[refute_0_6:[bind(X_6,$fot(X_26))]]) ).
cnf(refute_0_8,plain,
( mult(i(rd(X_26,B)),X_26) != B
| rd(mult(i(rd(X_26,B)),X_26),X_26) != i(rd(X_26,B))
| rd(B,X_26) = i(rd(X_26,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(rd(X_26,B)),X_26),X_26),i(rd(X_26,B))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_9,plain,
( rd(mult(i(rd(X_26,B)),X_26),X_26) != i(rd(X_26,B))
| rd(B,X_26) = i(rd(X_26,B)) ),
inference(resolve,[$cnf( $equal(mult(i(rd(X_26,B)),X_26),B) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
rd(B,X_26) = i(rd(X_26,B)),
inference(resolve,[$cnf( $equal(rd(mult(i(rd(X_26,B)),X_26),X_26),i(rd(X_26,B))) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
rd(X_47,X_48) = i(rd(X_48,X_47)),
inference(subst,[],[refute_0_10:[bind(B,$fot(X_47)),bind(X_26,$fot(X_48))]]) ).
cnf(refute_0_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( rd(X_47,X_48) != i(rd(X_48,X_47))
| i(rd(X_48,X_47)) = rd(X_47,X_48) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(rd(X_47,X_48))),bind(Y,$fot(i(rd(X_48,X_47))))]]) ).
cnf(refute_0_16,plain,
i(rd(X_48,X_47)) = rd(X_47,X_48),
inference(resolve,[$cnf( $equal(rd(X_47,X_48),i(rd(X_48,X_47))) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
( i(rd(X_48,X_47)) != rd(X_47,X_48)
| mult(i(rd(X_48,X_47)),rd(X_48,X_47)) != unit
| mult(rd(X_47,X_48),rd(X_48,X_47)) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(rd(X_48,X_47)),rd(X_48,X_47)),unit) ),[0,0],$fot(rd(X_47,X_48))]]) ).
cnf(refute_0_18,plain,
( mult(i(rd(X_48,X_47)),rd(X_48,X_47)) != unit
| mult(rd(X_47,X_48),rd(X_48,X_47)) = unit ),
inference(resolve,[$cnf( $equal(i(rd(X_48,X_47)),rd(X_47,X_48)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
mult(rd(X_47,X_48),rd(X_48,X_47)) = unit,
inference(resolve,[$cnf( $equal(mult(i(rd(X_48,X_47)),rd(X_48,X_47)),unit) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
mult(rd(i(X_9),X_165),rd(X_165,i(X_9))) = unit,
inference(subst,[],[refute_0_19:[bind(X_47,$fot(i(X_9))),bind(X_48,$fot(X_165))]]) ).
cnf(refute_0_21,plain,
rd(mult(i(A),mult(A,B)),mult(A,B)) = i(A),
inference(subst,[],[c07:[bind(A,$fot(i(A))),bind(B,$fot(mult(A,B)))]]) ).
cnf(refute_0_22,plain,
( mult(i(A),mult(A,B)) != B
| rd(mult(i(A),mult(A,B)),mult(A,B)) != i(A)
| rd(B,mult(A,B)) = i(A) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(A),mult(A,B)),mult(A,B)),i(A)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_23,plain,
( rd(mult(i(A),mult(A,B)),mult(A,B)) != i(A)
| rd(B,mult(A,B)) = i(A) ),
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,B)),B) )],[c06,refute_0_22]) ).
cnf(refute_0_24,plain,
rd(B,mult(A,B)) = i(A),
inference(resolve,[$cnf( $equal(rd(mult(i(A),mult(A,B)),mult(A,B)),i(A)) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
rd(i(X_31),mult(i(X_30),i(X_31))) = i(i(X_30)),
inference(subst,[],[refute_0_24:[bind(A,$fot(i(X_30))),bind(B,$fot(i(X_31)))]]) ).
cnf(refute_0_26,plain,
i(mult(X_30,X_31)) = mult(i(X_30),i(X_31)),
inference(subst,[],[c05:[bind(A,$fot(X_30)),bind(B,$fot(X_31))]]) ).
cnf(refute_0_27,plain,
( i(mult(X_30,X_31)) != mult(i(X_30),i(X_31))
| mult(i(X_30),i(X_31)) = i(mult(X_30,X_31)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i(mult(X_30,X_31)))),bind(Y,$fot(mult(i(X_30),i(X_31))))]]) ).
cnf(refute_0_28,plain,
mult(i(X_30),i(X_31)) = i(mult(X_30,X_31)),
inference(resolve,[$cnf( $equal(i(mult(X_30,X_31)),mult(i(X_30),i(X_31))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( mult(i(X_30),i(X_31)) != i(mult(X_30,X_31))
| rd(i(X_31),mult(i(X_30),i(X_31))) != i(i(X_30))
| rd(i(X_31),i(mult(X_30,X_31))) = i(i(X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(X_31),mult(i(X_30),i(X_31))),i(i(X_30))) ),[0,1],$fot(i(mult(X_30,X_31)))]]) ).
cnf(refute_0_30,plain,
( rd(i(X_31),mult(i(X_30),i(X_31))) != i(i(X_30))
| rd(i(X_31),i(mult(X_30,X_31))) = i(i(X_30)) ),
inference(resolve,[$cnf( $equal(mult(i(X_30),i(X_31)),i(mult(X_30,X_31))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
rd(i(X_31),i(mult(X_30,X_31))) = i(i(X_30)),
inference(resolve,[$cnf( $equal(rd(i(X_31),mult(i(X_30),i(X_31))),i(i(X_30))) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
mult(i(rd(unit,X_9)),unit) = i(rd(unit,X_9)),
inference(subst,[],[c02:[bind(A,$fot(i(rd(unit,X_9))))]]) ).
cnf(refute_0_33,plain,
mult(i(rd(unit,X_9)),unit) = X_9,
inference(subst,[],[refute_0_6:[bind(B,$fot(X_9)),bind(X_6,$fot(unit))]]) ).
cnf(refute_0_34,plain,
( mult(i(rd(unit,X_9)),unit) != X_9
| mult(i(rd(unit,X_9)),unit) != i(rd(unit,X_9))
| X_9 = i(rd(unit,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(rd(unit,X_9)),unit),i(rd(unit,X_9))) ),[0],$fot(X_9)]]) ).
cnf(refute_0_35,plain,
( mult(i(rd(unit,X_9)),unit) != i(rd(unit,X_9))
| X_9 = i(rd(unit,X_9)) ),
inference(resolve,[$cnf( $equal(mult(i(rd(unit,X_9)),unit),X_9) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
X_9 = i(rd(unit,X_9)),
inference(resolve,[$cnf( $equal(mult(i(rd(unit,X_9)),unit),i(rd(unit,X_9))) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
mult(i(A),mult(A,rd(unit,A))) = rd(unit,A),
inference(subst,[],[c06:[bind(B,$fot(rd(unit,A)))]]) ).
cnf(refute_0_38,plain,
mult(i(rd(unit,X_11)),rd(unit,X_11)) = unit,
inference(subst,[],[c04:[bind(A,$fot(rd(unit,X_11)))]]) ).
cnf(refute_0_39,plain,
X_11 = i(rd(unit,X_11)),
inference(subst,[],[refute_0_36:[bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_40,plain,
( X_11 != i(rd(unit,X_11))
| i(rd(unit,X_11)) = X_11 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_11)),bind(Y,$fot(i(rd(unit,X_11))))]]) ).
cnf(refute_0_41,plain,
i(rd(unit,X_11)) = X_11,
inference(resolve,[$cnf( $equal(X_11,i(rd(unit,X_11))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( i(rd(unit,X_11)) != X_11
| mult(i(rd(unit,X_11)),rd(unit,X_11)) != unit
| mult(X_11,rd(unit,X_11)) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(rd(unit,X_11)),rd(unit,X_11)),unit) ),[0,0],$fot(X_11)]]) ).
cnf(refute_0_43,plain,
( mult(i(rd(unit,X_11)),rd(unit,X_11)) != unit
| mult(X_11,rd(unit,X_11)) = unit ),
inference(resolve,[$cnf( $equal(i(rd(unit,X_11)),X_11) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
mult(X_11,rd(unit,X_11)) = unit,
inference(resolve,[$cnf( $equal(mult(i(rd(unit,X_11)),rd(unit,X_11)),unit) )],[refute_0_38,refute_0_43]) ).
cnf(refute_0_45,plain,
mult(A,rd(unit,A)) = unit,
inference(subst,[],[refute_0_44:[bind(X_11,$fot(A))]]) ).
cnf(refute_0_46,plain,
( mult(A,rd(unit,A)) != unit
| mult(i(A),mult(A,rd(unit,A))) != rd(unit,A)
| mult(i(A),unit) = rd(unit,A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(A),mult(A,rd(unit,A))),rd(unit,A)) ),[0,1],$fot(unit)]]) ).
cnf(refute_0_47,plain,
( mult(i(A),mult(A,rd(unit,A))) != rd(unit,A)
| mult(i(A),unit) = rd(unit,A) ),
inference(resolve,[$cnf( $equal(mult(A,rd(unit,A)),unit) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
mult(i(A),unit) = rd(unit,A),
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,rd(unit,A))),rd(unit,A)) )],[refute_0_37,refute_0_47]) ).
cnf(refute_0_49,plain,
mult(i(A),unit) = i(A),
inference(subst,[],[c02:[bind(A,$fot(i(A)))]]) ).
cnf(refute_0_50,plain,
( mult(i(A),unit) != i(A)
| mult(i(A),unit) != rd(unit,A)
| i(A) = rd(unit,A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(A),unit),rd(unit,A)) ),[0],$fot(i(A))]]) ).
cnf(refute_0_51,plain,
( mult(i(A),unit) != rd(unit,A)
| i(A) = rd(unit,A) ),
inference(resolve,[$cnf( $equal(mult(i(A),unit),i(A)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
i(A) = rd(unit,A),
inference(resolve,[$cnf( $equal(mult(i(A),unit),rd(unit,A)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
( i(A) != rd(unit,A)
| rd(unit,A) = i(A) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i(A))),bind(Y,$fot(rd(unit,A)))]]) ).
cnf(refute_0_54,plain,
rd(unit,A) = i(A),
inference(resolve,[$cnf( $equal(i(A),rd(unit,A)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
rd(unit,X_9) = i(X_9),
inference(subst,[],[refute_0_54:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_56,plain,
i(rd(unit,X_9)) = i(rd(unit,X_9)),
introduced(tautology,[refl,[$fot(i(rd(unit,X_9)))]]) ).
cnf(refute_0_57,plain,
( i(rd(unit,X_9)) != i(rd(unit,X_9))
| rd(unit,X_9) != i(X_9)
| i(rd(unit,X_9)) = i(i(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(i(rd(unit,X_9)),i(rd(unit,X_9))) ),[1,0],$fot(i(X_9))]]) ).
cnf(refute_0_58,plain,
( rd(unit,X_9) != i(X_9)
| i(rd(unit,X_9)) = i(i(X_9)) ),
inference(resolve,[$cnf( $equal(i(rd(unit,X_9)),i(rd(unit,X_9))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
i(rd(unit,X_9)) = i(i(X_9)),
inference(resolve,[$cnf( $equal(rd(unit,X_9),i(X_9)) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
( X_9 != i(rd(unit,X_9))
| i(rd(unit,X_9)) != i(i(X_9))
| X_9 = i(i(X_9)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_9,i(i(X_9))) ),[0],$fot(i(rd(unit,X_9)))]]) ).
cnf(refute_0_61,plain,
( X_9 != i(rd(unit,X_9))
| X_9 = i(i(X_9)) ),
inference(resolve,[$cnf( $equal(i(rd(unit,X_9)),i(i(X_9))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
X_9 = i(i(X_9)),
inference(resolve,[$cnf( $equal(X_9,i(rd(unit,X_9))) )],[refute_0_36,refute_0_61]) ).
cnf(refute_0_63,plain,
( X_9 != i(i(X_9))
| i(i(X_9)) = X_9 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_9)),bind(Y,$fot(i(i(X_9))))]]) ).
cnf(refute_0_64,plain,
i(i(X_9)) = X_9,
inference(resolve,[$cnf( $equal(X_9,i(i(X_9))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
i(i(X_30)) = X_30,
inference(subst,[],[refute_0_64:[bind(X_9,$fot(X_30))]]) ).
cnf(refute_0_66,plain,
( i(i(X_30)) != X_30
| rd(i(X_31),i(mult(X_30,X_31))) != i(i(X_30))
| rd(i(X_31),i(mult(X_30,X_31))) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(X_31),i(mult(X_30,X_31))),i(i(X_30))) ),[1],$fot(X_30)]]) ).
cnf(refute_0_67,plain,
( rd(i(X_31),i(mult(X_30,X_31))) != i(i(X_30))
| rd(i(X_31),i(mult(X_30,X_31))) = X_30 ),
inference(resolve,[$cnf( $equal(i(i(X_30)),X_30) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
rd(i(X_31),i(mult(X_30,X_31))) = X_30,
inference(resolve,[$cnf( $equal(rd(i(X_31),i(mult(X_30,X_31))),i(i(X_30))) )],[refute_0_31,refute_0_67]) ).
cnf(refute_0_69,plain,
rd(i(X_33),i(mult(rd(A,X_33),X_33))) = rd(A,X_33),
inference(subst,[],[refute_0_68:[bind(X_30,$fot(rd(A,X_33))),bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_70,plain,
mult(rd(A,X_33),X_33) = A,
inference(subst,[],[c08:[bind(B,$fot(X_33))]]) ).
cnf(refute_0_71,plain,
( mult(rd(A,X_33),X_33) != A
| rd(i(X_33),i(mult(rd(A,X_33),X_33))) != rd(A,X_33)
| rd(i(X_33),i(A)) = rd(A,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(X_33),i(mult(rd(A,X_33),X_33))),rd(A,X_33)) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_72,plain,
( rd(i(X_33),i(mult(rd(A,X_33),X_33))) != rd(A,X_33)
| rd(i(X_33),i(A)) = rd(A,X_33) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_33),X_33),A) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
rd(i(X_33),i(A)) = rd(A,X_33),
inference(resolve,[$cnf( $equal(rd(i(X_33),i(mult(rd(A,X_33),X_33))),rd(A,X_33)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
rd(i(i(X_9)),i(X_101)) = rd(X_101,i(X_9)),
inference(subst,[],[refute_0_73:[bind(A,$fot(X_101)),bind(X_33,$fot(i(X_9)))]]) ).
cnf(refute_0_75,plain,
( i(i(X_9)) != X_9
| rd(i(i(X_9)),i(X_101)) != rd(X_101,i(X_9))
| rd(X_9,i(X_101)) = rd(X_101,i(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(i(X_9)),i(X_101)),rd(X_101,i(X_9))) ),[0,0],$fot(X_9)]]) ).
cnf(refute_0_76,plain,
( rd(i(i(X_9)),i(X_101)) != rd(X_101,i(X_9))
| rd(X_9,i(X_101)) = rd(X_101,i(X_9)) ),
inference(resolve,[$cnf( $equal(i(i(X_9)),X_9) )],[refute_0_64,refute_0_75]) ).
cnf(refute_0_77,plain,
rd(X_9,i(X_101)) = rd(X_101,i(X_9)),
inference(resolve,[$cnf( $equal(rd(i(i(X_9)),i(X_101)),rd(X_101,i(X_9))) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
rd(X_9,i(X_165)) = rd(X_165,i(X_9)),
inference(subst,[],[refute_0_77:[bind(X_101,$fot(X_165))]]) ).
cnf(refute_0_79,plain,
( rd(X_9,i(X_165)) != rd(X_165,i(X_9))
| rd(X_165,i(X_9)) = rd(X_9,i(X_165)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(rd(X_9,i(X_165)))),bind(Y,$fot(rd(X_165,i(X_9))))]]) ).
cnf(refute_0_80,plain,
rd(X_165,i(X_9)) = rd(X_9,i(X_165)),
inference(resolve,[$cnf( $equal(rd(X_9,i(X_165)),rd(X_165,i(X_9))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( mult(rd(i(X_9),X_165),rd(X_165,i(X_9))) != unit
| rd(X_165,i(X_9)) != rd(X_9,i(X_165))
| mult(rd(i(X_9),X_165),rd(X_9,i(X_165))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(i(X_9),X_165),rd(X_165,i(X_9))),unit) ),[0,1],$fot(rd(X_9,i(X_165)))]]) ).
cnf(refute_0_82,plain,
( mult(rd(i(X_9),X_165),rd(X_165,i(X_9))) != unit
| mult(rd(i(X_9),X_165),rd(X_9,i(X_165))) = unit ),
inference(resolve,[$cnf( $equal(rd(X_165,i(X_9)),rd(X_9,i(X_165))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
mult(rd(i(X_9),X_165),rd(X_9,i(X_165))) = unit,
inference(resolve,[$cnf( $equal(mult(rd(i(X_9),X_165),rd(X_165,i(X_9))),unit) )],[refute_0_20,refute_0_82]) ).
cnf(refute_0_84,plain,
mult(rd(i(op_k(X_495,X_496)),X_165),rd(op_k(X_495,X_496),i(X_165))) = unit,
inference(subst,[],[refute_0_83:[bind(X_9,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_85,plain,
mult(i(rd(unit,X_11)),mult(rd(unit,X_11),B)) = B,
inference(subst,[],[c06:[bind(A,$fot(rd(unit,X_11)))]]) ).
cnf(refute_0_86,plain,
( i(rd(unit,X_11)) != X_11
| mult(i(rd(unit,X_11)),mult(rd(unit,X_11),B)) != B
| mult(X_11,mult(rd(unit,X_11),B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(rd(unit,X_11)),mult(rd(unit,X_11),B)),B) ),[0,0],$fot(X_11)]]) ).
cnf(refute_0_87,plain,
( mult(i(rd(unit,X_11)),mult(rd(unit,X_11),B)) != B
| mult(X_11,mult(rd(unit,X_11),B)) = B ),
inference(resolve,[$cnf( $equal(i(rd(unit,X_11)),X_11) )],[refute_0_41,refute_0_86]) ).
cnf(refute_0_88,plain,
mult(X_11,mult(rd(unit,X_11),B)) = B,
inference(resolve,[$cnf( $equal(mult(i(rd(unit,X_11)),mult(rd(unit,X_11),B)),B) )],[refute_0_85,refute_0_87]) ).
cnf(refute_0_89,plain,
rd(unit,X_11) = i(X_11),
inference(subst,[],[refute_0_54:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_90,plain,
mult(rd(unit,X_11),B) = mult(rd(unit,X_11),B),
introduced(tautology,[refl,[$fot(mult(rd(unit,X_11),B))]]) ).
cnf(refute_0_91,plain,
( mult(rd(unit,X_11),B) != mult(rd(unit,X_11),B)
| rd(unit,X_11) != i(X_11)
| mult(rd(unit,X_11),B) = mult(i(X_11),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,X_11),B),mult(rd(unit,X_11),B)) ),[1,0],$fot(i(X_11))]]) ).
cnf(refute_0_92,plain,
( rd(unit,X_11) != i(X_11)
| mult(rd(unit,X_11),B) = mult(i(X_11),B) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_11),B),mult(rd(unit,X_11),B)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
mult(rd(unit,X_11),B) = mult(i(X_11),B),
inference(resolve,[$cnf( $equal(rd(unit,X_11),i(X_11)) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
mult(X_11,mult(rd(unit,X_11),B)) = mult(X_11,mult(rd(unit,X_11),B)),
introduced(tautology,[refl,[$fot(mult(X_11,mult(rd(unit,X_11),B)))]]) ).
cnf(refute_0_95,plain,
( mult(X_11,mult(rd(unit,X_11),B)) != mult(X_11,mult(rd(unit,X_11),B))
| mult(rd(unit,X_11),B) != mult(i(X_11),B)
| mult(X_11,mult(rd(unit,X_11),B)) = mult(X_11,mult(i(X_11),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_11,mult(rd(unit,X_11),B)),mult(X_11,mult(rd(unit,X_11),B))) ),[1,1],$fot(mult(i(X_11),B))]]) ).
cnf(refute_0_96,plain,
( mult(rd(unit,X_11),B) != mult(i(X_11),B)
| mult(X_11,mult(rd(unit,X_11),B)) = mult(X_11,mult(i(X_11),B)) ),
inference(resolve,[$cnf( $equal(mult(X_11,mult(rd(unit,X_11),B)),mult(X_11,mult(rd(unit,X_11),B))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
mult(X_11,mult(rd(unit,X_11),B)) = mult(X_11,mult(i(X_11),B)),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_11),B),mult(i(X_11),B)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( mult(X_11,mult(rd(unit,X_11),B)) != B
| mult(X_11,mult(rd(unit,X_11),B)) != mult(X_11,mult(i(X_11),B))
| mult(X_11,mult(i(X_11),B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_11,mult(rd(unit,X_11),B)),B) ),[0],$fot(mult(X_11,mult(i(X_11),B)))]]) ).
cnf(refute_0_99,plain,
( mult(X_11,mult(rd(unit,X_11),B)) != B
| mult(X_11,mult(i(X_11),B)) = B ),
inference(resolve,[$cnf( $equal(mult(X_11,mult(rd(unit,X_11),B)),mult(X_11,mult(i(X_11),B))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
mult(X_11,mult(i(X_11),B)) = B,
inference(resolve,[$cnf( $equal(mult(X_11,mult(rd(unit,X_11),B)),B) )],[refute_0_88,refute_0_99]) ).
cnf(refute_0_101,plain,
mult(X_11,mult(i(X_11),i(X_31))) = i(X_31),
inference(subst,[],[refute_0_100:[bind(B,$fot(i(X_31)))]]) ).
cnf(refute_0_102,plain,
i(mult(X_11,X_31)) = mult(i(X_11),i(X_31)),
inference(subst,[],[c05:[bind(A,$fot(X_11)),bind(B,$fot(X_31))]]) ).
cnf(refute_0_103,plain,
( i(mult(X_11,X_31)) != mult(i(X_11),i(X_31))
| mult(i(X_11),i(X_31)) = i(mult(X_11,X_31)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i(mult(X_11,X_31)))),bind(Y,$fot(mult(i(X_11),i(X_31))))]]) ).
cnf(refute_0_104,plain,
mult(i(X_11),i(X_31)) = i(mult(X_11,X_31)),
inference(resolve,[$cnf( $equal(i(mult(X_11,X_31)),mult(i(X_11),i(X_31))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( mult(X_11,mult(i(X_11),i(X_31))) != i(X_31)
| mult(i(X_11),i(X_31)) != i(mult(X_11,X_31))
| mult(X_11,i(mult(X_11,X_31))) = i(X_31) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_11,mult(i(X_11),i(X_31))),i(X_31)) ),[0,1],$fot(i(mult(X_11,X_31)))]]) ).
cnf(refute_0_106,plain,
( mult(X_11,mult(i(X_11),i(X_31))) != i(X_31)
| mult(X_11,i(mult(X_11,X_31))) = i(X_31) ),
inference(resolve,[$cnf( $equal(mult(i(X_11),i(X_31)),i(mult(X_11,X_31))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
mult(X_11,i(mult(X_11,X_31))) = i(X_31),
inference(resolve,[$cnf( $equal(mult(X_11,mult(i(X_11),i(X_31))),i(X_31)) )],[refute_0_101,refute_0_106]) ).
cnf(refute_0_108,plain,
mult(mult(B,A),i(mult(mult(B,A),op_k(A,B)))) = i(op_k(A,B)),
inference(subst,[],[refute_0_107:[bind(X_11,$fot(mult(B,A))),bind(X_31,$fot(op_k(A,B)))]]) ).
cnf(refute_0_109,plain,
( mult(A,B) != mult(mult(B,A),op_k(A,B))
| mult(mult(B,A),op_k(A,B)) = mult(A,B) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(mult(A,B))),bind(Y,$fot(mult(mult(B,A),op_k(A,B))))]]) ).
cnf(refute_0_110,plain,
mult(mult(B,A),op_k(A,B)) = mult(A,B),
inference(resolve,[$cnf( $equal(mult(A,B),mult(mult(B,A),op_k(A,B))) )],[c11,refute_0_109]) ).
cnf(refute_0_111,plain,
( mult(mult(B,A),i(mult(mult(B,A),op_k(A,B)))) != i(op_k(A,B))
| mult(mult(B,A),op_k(A,B)) != mult(A,B)
| mult(mult(B,A),i(mult(A,B))) = i(op_k(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(B,A),i(mult(mult(B,A),op_k(A,B)))),i(op_k(A,B))) ),[0,1,0],$fot(mult(A,B))]]) ).
cnf(refute_0_112,plain,
( mult(mult(B,A),i(mult(mult(B,A),op_k(A,B)))) != i(op_k(A,B))
| mult(mult(B,A),i(mult(A,B))) = i(op_k(A,B)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,A),op_k(A,B)),mult(A,B)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
mult(mult(B,A),i(mult(A,B))) = i(op_k(A,B)),
inference(resolve,[$cnf( $equal(mult(mult(B,A),i(mult(mult(B,A),op_k(A,B)))),i(op_k(A,B))) )],[refute_0_108,refute_0_112]) ).
cnf(refute_0_114,plain,
mult(mult(X_106,rd(A,X_106)),i(mult(rd(A,X_106),X_106))) = i(op_k(rd(A,X_106),X_106)),
inference(subst,[],[refute_0_113:[bind(A,$fot(rd(A,X_106))),bind(B,$fot(X_106))]]) ).
cnf(refute_0_115,plain,
mult(rd(A,X_106),X_106) = A,
inference(subst,[],[c08:[bind(B,$fot(X_106))]]) ).
cnf(refute_0_116,plain,
( mult(mult(X_106,rd(A,X_106)),i(mult(rd(A,X_106),X_106))) != i(op_k(rd(A,X_106),X_106))
| mult(rd(A,X_106),X_106) != A
| mult(mult(X_106,rd(A,X_106)),i(A)) = i(op_k(rd(A,X_106),X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_106,rd(A,X_106)),i(mult(rd(A,X_106),X_106))),i(op_k(rd(A,X_106),X_106))) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_117,plain,
( mult(mult(X_106,rd(A,X_106)),i(mult(rd(A,X_106),X_106))) != i(op_k(rd(A,X_106),X_106))
| mult(mult(X_106,rd(A,X_106)),i(A)) = i(op_k(rd(A,X_106),X_106)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_106),X_106),A) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
mult(mult(X_106,rd(A,X_106)),i(A)) = i(op_k(rd(A,X_106),X_106)),
inference(resolve,[$cnf( $equal(mult(mult(X_106,rd(A,X_106)),i(mult(rd(A,X_106),X_106))),i(op_k(rd(A,X_106),X_106))) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
op_t(mult(B,A),op_k(A,B)) = mult(i(op_k(A,B)),mult(mult(B,A),op_k(A,B))),
inference(subst,[],[c14:[bind(A,$fot(mult(B,A))),bind(B,$fot(op_k(A,B)))]]) ).
cnf(refute_0_120,plain,
( mult(mult(B,A),op_k(A,B)) != mult(A,B)
| op_t(mult(B,A),op_k(A,B)) != mult(i(op_k(A,B)),mult(mult(B,A),op_k(A,B)))
| op_t(mult(B,A),op_k(A,B)) = mult(i(op_k(A,B)),mult(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(mult(B,A),op_k(A,B)),mult(i(op_k(A,B)),mult(mult(B,A),op_k(A,B)))) ),[1,1],$fot(mult(A,B))]]) ).
cnf(refute_0_121,plain,
( op_t(mult(B,A),op_k(A,B)) != mult(i(op_k(A,B)),mult(mult(B,A),op_k(A,B)))
| op_t(mult(B,A),op_k(A,B)) = mult(i(op_k(A,B)),mult(A,B)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,A),op_k(A,B)),mult(A,B)) )],[refute_0_110,refute_0_120]) ).
cnf(refute_0_122,plain,
op_t(mult(B,A),op_k(A,B)) = mult(i(op_k(A,B)),mult(A,B)),
inference(resolve,[$cnf( $equal(op_t(mult(B,A),op_k(A,B)),mult(i(op_k(A,B)),mult(mult(B,A),op_k(A,B)))) )],[refute_0_119,refute_0_121]) ).
cnf(refute_0_123,plain,
op_t(mult(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))),
inference(subst,[],[refute_0_122:[bind(A,$fot(mult(X_305,rd(X_304,X_305)))),bind(B,$fot(i(X_304)))]]) ).
cnf(refute_0_124,plain,
mult(i(mult(X_16,X_15)),mult(mult(X_16,X_15),op_k(X_15,X_16))) = op_k(X_15,X_16),
inference(subst,[],[c06:[bind(A,$fot(mult(X_16,X_15))),bind(B,$fot(op_k(X_15,X_16)))]]) ).
cnf(refute_0_125,plain,
mult(X_15,X_16) = mult(mult(X_16,X_15),op_k(X_15,X_16)),
inference(subst,[],[c11:[bind(A,$fot(X_15)),bind(B,$fot(X_16))]]) ).
cnf(refute_0_126,plain,
( mult(X_15,X_16) != mult(mult(X_16,X_15),op_k(X_15,X_16))
| mult(mult(X_16,X_15),op_k(X_15,X_16)) = mult(X_15,X_16) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(mult(X_15,X_16))),bind(Y,$fot(mult(mult(X_16,X_15),op_k(X_15,X_16))))]]) ).
cnf(refute_0_127,plain,
mult(mult(X_16,X_15),op_k(X_15,X_16)) = mult(X_15,X_16),
inference(resolve,[$cnf( $equal(mult(X_15,X_16),mult(mult(X_16,X_15),op_k(X_15,X_16))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
( mult(i(mult(X_16,X_15)),mult(mult(X_16,X_15),op_k(X_15,X_16))) != op_k(X_15,X_16)
| mult(mult(X_16,X_15),op_k(X_15,X_16)) != mult(X_15,X_16)
| mult(i(mult(X_16,X_15)),mult(X_15,X_16)) = op_k(X_15,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_16,X_15)),mult(mult(X_16,X_15),op_k(X_15,X_16))),op_k(X_15,X_16)) ),[0,1],$fot(mult(X_15,X_16))]]) ).
cnf(refute_0_129,plain,
( mult(i(mult(X_16,X_15)),mult(mult(X_16,X_15),op_k(X_15,X_16))) != op_k(X_15,X_16)
| mult(i(mult(X_16,X_15)),mult(X_15,X_16)) = op_k(X_15,X_16) ),
inference(resolve,[$cnf( $equal(mult(mult(X_16,X_15),op_k(X_15,X_16)),mult(X_15,X_16)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
mult(i(mult(X_16,X_15)),mult(X_15,X_16)) = op_k(X_15,X_16),
inference(resolve,[$cnf( $equal(mult(i(mult(X_16,X_15)),mult(mult(X_16,X_15),op_k(X_15,X_16))),op_k(X_15,X_16)) )],[refute_0_124,refute_0_129]) ).
cnf(refute_0_131,plain,
mult(i(mult(rd(A,X_66),X_66)),mult(X_66,rd(A,X_66))) = op_k(X_66,rd(A,X_66)),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(X_66)),bind(X_16,$fot(rd(A,X_66)))]]) ).
cnf(refute_0_132,plain,
mult(rd(A,X_66),X_66) = A,
inference(subst,[],[c08:[bind(B,$fot(X_66))]]) ).
cnf(refute_0_133,plain,
( mult(i(mult(rd(A,X_66),X_66)),mult(X_66,rd(A,X_66))) != op_k(X_66,rd(A,X_66))
| mult(rd(A,X_66),X_66) != A
| mult(i(A),mult(X_66,rd(A,X_66))) = op_k(X_66,rd(A,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(rd(A,X_66),X_66)),mult(X_66,rd(A,X_66))),op_k(X_66,rd(A,X_66))) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_134,plain,
( mult(i(mult(rd(A,X_66),X_66)),mult(X_66,rd(A,X_66))) != op_k(X_66,rd(A,X_66))
| mult(i(A),mult(X_66,rd(A,X_66))) = op_k(X_66,rd(A,X_66)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_66),X_66),A) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
mult(i(A),mult(X_66,rd(A,X_66))) = op_k(X_66,rd(A,X_66)),
inference(resolve,[$cnf( $equal(mult(i(mult(rd(A,X_66),X_66)),mult(X_66,rd(A,X_66))),op_k(X_66,rd(A,X_66))) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
mult(i(X_304),mult(X_305,rd(X_304,X_305))) = op_k(X_305,rd(X_304,X_305)),
inference(subst,[],[refute_0_135:[bind(A,$fot(X_304)),bind(X_66,$fot(X_305))]]) ).
cnf(refute_0_137,plain,
( mult(i(X_304),mult(X_305,rd(X_304,X_305))) != op_k(X_305,rd(X_304,X_305))
| op_t(mult(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(mult(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304)))) ),[0,0],$fot(op_k(X_305,rd(X_304,X_305)))]]) ).
cnf(refute_0_138,plain,
( op_t(mult(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))) ),
inference(resolve,[$cnf( $equal(mult(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(X_305,rd(X_304,X_305))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))),
inference(resolve,[$cnf( $equal(op_t(mult(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304)))) )],[refute_0_123,refute_0_138]) ).
cnf(refute_0_140,plain,
mult(i(mult(X_67,rd(A,X_67))),mult(rd(A,X_67),X_67)) = op_k(rd(A,X_67),X_67),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(rd(A,X_67))),bind(X_16,$fot(X_67))]]) ).
cnf(refute_0_141,plain,
mult(rd(A,X_67),X_67) = A,
inference(subst,[],[c08:[bind(B,$fot(X_67))]]) ).
cnf(refute_0_142,plain,
( mult(i(mult(X_67,rd(A,X_67))),mult(rd(A,X_67),X_67)) != op_k(rd(A,X_67),X_67)
| mult(rd(A,X_67),X_67) != A
| mult(i(mult(X_67,rd(A,X_67))),A) = op_k(rd(A,X_67),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_67,rd(A,X_67))),mult(rd(A,X_67),X_67)),op_k(rd(A,X_67),X_67)) ),[0,1],$fot(A)]]) ).
cnf(refute_0_143,plain,
( mult(i(mult(X_67,rd(A,X_67))),mult(rd(A,X_67),X_67)) != op_k(rd(A,X_67),X_67)
| mult(i(mult(X_67,rd(A,X_67))),A) = op_k(rd(A,X_67),X_67) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_67),X_67),A) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
mult(i(mult(X_67,rd(A,X_67))),A) = op_k(rd(A,X_67),X_67),
inference(resolve,[$cnf( $equal(mult(i(mult(X_67,rd(A,X_67))),mult(rd(A,X_67),X_67)),op_k(rd(A,X_67),X_67)) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
mult(i(mult(X_305,rd(X_304,X_305))),X_304) = op_k(rd(X_304,X_305),X_305),
inference(subst,[],[refute_0_144:[bind(A,$fot(X_304)),bind(X_67,$fot(X_305))]]) ).
cnf(refute_0_146,plain,
mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)) = mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)),
introduced(tautology,[refl,[$fot(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)))]]) ).
cnf(refute_0_147,plain,
( mult(i(mult(X_305,rd(X_304,X_305))),X_304) != op_k(rd(X_304,X_305),X_305)
| mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)) != mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))
| mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)) = mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)),mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) ),[1,1],$fot(op_k(rd(X_304,X_305),X_305))]]) ).
cnf(refute_0_148,plain,
( mult(i(mult(X_305,rd(X_304,X_305))),X_304) != op_k(rd(X_304,X_305),X_305)
| mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)) = mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) ),
inference(resolve,[$cnf( $equal(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)),mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)) = mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)),
inference(resolve,[$cnf( $equal(mult(i(mult(X_305,rd(X_304,X_305))),X_304),op_k(rd(X_304,X_305),X_305)) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))),
introduced(tautology,[refl,[$fot(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))))]]) ).
cnf(refute_0_151,plain,
( i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)))
| mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)) != mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))
| i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)))) ),[1,0],$fot(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))]]) ).
cnf(refute_0_152,plain,
( mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)) != mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))
| i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),
inference(resolve,[$cnf( $equal(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))),
inference(resolve,[$cnf( $equal(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)),mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
i(mult(A,mult(i(X_44),X_43))) = mult(i(A),i(mult(i(X_44),X_43))),
inference(subst,[],[c05:[bind(B,$fot(mult(i(X_44),X_43)))]]) ).
cnf(refute_0_155,plain,
i(mult(i(X_9),X_31)) = mult(i(i(X_9)),i(X_31)),
inference(subst,[],[c05:[bind(A,$fot(i(X_9))),bind(B,$fot(X_31))]]) ).
cnf(refute_0_156,plain,
( i(i(X_9)) != X_9
| i(mult(i(X_9),X_31)) != mult(i(i(X_9)),i(X_31))
| i(mult(i(X_9),X_31)) = mult(X_9,i(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(i(X_9),X_31)),mult(i(i(X_9)),i(X_31))) ),[1,0],$fot(X_9)]]) ).
cnf(refute_0_157,plain,
( i(mult(i(X_9),X_31)) != mult(i(i(X_9)),i(X_31))
| i(mult(i(X_9),X_31)) = mult(X_9,i(X_31)) ),
inference(resolve,[$cnf( $equal(i(i(X_9)),X_9) )],[refute_0_64,refute_0_156]) ).
cnf(refute_0_158,plain,
i(mult(i(X_9),X_31)) = mult(X_9,i(X_31)),
inference(resolve,[$cnf( $equal(i(mult(i(X_9),X_31)),mult(i(i(X_9)),i(X_31))) )],[refute_0_155,refute_0_157]) ).
cnf(refute_0_159,plain,
i(mult(i(X_44),X_43)) = mult(X_44,i(X_43)),
inference(subst,[],[refute_0_158:[bind(X_31,$fot(X_43)),bind(X_9,$fot(X_44))]]) ).
cnf(refute_0_160,plain,
( i(mult(A,mult(i(X_44),X_43))) != mult(i(A),i(mult(i(X_44),X_43)))
| i(mult(i(X_44),X_43)) != mult(X_44,i(X_43))
| i(mult(A,mult(i(X_44),X_43))) = mult(i(A),mult(X_44,i(X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(A,mult(i(X_44),X_43))),mult(i(A),i(mult(i(X_44),X_43)))) ),[1,1],$fot(mult(X_44,i(X_43)))]]) ).
cnf(refute_0_161,plain,
( i(mult(A,mult(i(X_44),X_43))) != mult(i(A),i(mult(i(X_44),X_43)))
| i(mult(A,mult(i(X_44),X_43))) = mult(i(A),mult(X_44,i(X_43))) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_44),X_43)),mult(X_44,i(X_43))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
i(mult(A,mult(i(X_44),X_43))) = mult(i(A),mult(X_44,i(X_43))),
inference(resolve,[$cnf( $equal(i(mult(A,mult(i(X_44),X_43))),mult(i(A),i(mult(i(X_44),X_43)))) )],[refute_0_154,refute_0_161]) ).
cnf(refute_0_163,plain,
( i(mult(A,mult(i(X_44),X_43))) != mult(i(A),mult(X_44,i(X_43)))
| mult(i(A),mult(X_44,i(X_43))) = i(mult(A,mult(i(X_44),X_43))) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i(mult(A,mult(i(X_44),X_43))))),bind(Y,$fot(mult(i(A),mult(X_44,i(X_43)))))]]) ).
cnf(refute_0_164,plain,
mult(i(A),mult(X_44,i(X_43))) = i(mult(A,mult(i(X_44),X_43))),
inference(resolve,[$cnf( $equal(i(mult(A,mult(i(X_44),X_43))),mult(i(A),mult(X_44,i(X_43)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))),
inference(subst,[],[refute_0_164:[bind(A,$fot(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)))),bind(X_43,$fot(X_304)),bind(X_44,$fot(mult(X_305,rd(X_304,X_305))))]]) ).
cnf(refute_0_166,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_167,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_14,refute_0_166]) ).
cnf(refute_0_168,plain,
( i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)))
| mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))))),bind(Y,$fot(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))))),bind(Z,$fot(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))))]]) ).
cnf(refute_0_169,plain,
( i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),
inference(resolve,[$cnf( $equal(mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304)))) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))),
inference(resolve,[$cnf( $equal(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),mult(i(mult(X_305,rd(X_304,X_305))),X_304))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))) )],[refute_0_153,refute_0_169]) ).
cnf(refute_0_171,plain,
( mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304)))) ),[1],$fot(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))))]]) ).
cnf(refute_0_172,plain,
( op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),
inference(resolve,[$cnf( $equal(mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))),
inference(resolve,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(i(op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),mult(mult(X_305,rd(X_304,X_305)),i(X_304)))) )],[refute_0_139,refute_0_172]) ).
cnf(refute_0_174,plain,
mult(X_11,i(mult(X_11,op_k(mult(i(X_75),X_11),X_75)))) = i(op_k(mult(i(X_75),X_11),X_75)),
inference(subst,[],[refute_0_107:[bind(X_31,$fot(op_k(mult(i(X_75),X_11),X_75)))]]) ).
cnf(refute_0_175,plain,
mult(mult(i(B),X_23),B) = mult(mult(B,mult(i(B),X_23)),op_k(mult(i(B),X_23),B)),
inference(subst,[],[c11:[bind(A,$fot(mult(i(B),X_23)))]]) ).
cnf(refute_0_176,plain,
mult(B,mult(i(B),X_23)) = X_23,
inference(subst,[],[refute_0_100:[bind(B,$fot(X_23)),bind(X_11,$fot(B))]]) ).
cnf(refute_0_177,plain,
( mult(B,mult(i(B),X_23)) != X_23
| mult(mult(i(B),X_23),B) != mult(mult(B,mult(i(B),X_23)),op_k(mult(i(B),X_23),B))
| mult(mult(i(B),X_23),B) = mult(X_23,op_k(mult(i(B),X_23),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(B),X_23),B),mult(mult(B,mult(i(B),X_23)),op_k(mult(i(B),X_23),B))) ),[1,0],$fot(X_23)]]) ).
cnf(refute_0_178,plain,
( mult(mult(i(B),X_23),B) != mult(mult(B,mult(i(B),X_23)),op_k(mult(i(B),X_23),B))
| mult(mult(i(B),X_23),B) = mult(X_23,op_k(mult(i(B),X_23),B)) ),
inference(resolve,[$cnf( $equal(mult(B,mult(i(B),X_23)),X_23) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
mult(mult(i(B),X_23),B) = mult(X_23,op_k(mult(i(B),X_23),B)),
inference(resolve,[$cnf( $equal(mult(mult(i(B),X_23),B),mult(mult(B,mult(i(B),X_23)),op_k(mult(i(B),X_23),B))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
mult(mult(i(X_75),X_11),X_75) = mult(X_11,op_k(mult(i(X_75),X_11),X_75)),
inference(subst,[],[refute_0_179:[bind(B,$fot(X_75)),bind(X_23,$fot(X_11))]]) ).
cnf(refute_0_181,plain,
( mult(mult(i(X_75),X_11),X_75) != mult(X_11,op_k(mult(i(X_75),X_11),X_75))
| mult(X_11,op_k(mult(i(X_75),X_11),X_75)) = mult(mult(i(X_75),X_11),X_75) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(mult(mult(i(X_75),X_11),X_75))),bind(Y,$fot(mult(X_11,op_k(mult(i(X_75),X_11),X_75))))]]) ).
cnf(refute_0_182,plain,
mult(X_11,op_k(mult(i(X_75),X_11),X_75)) = mult(mult(i(X_75),X_11),X_75),
inference(resolve,[$cnf( $equal(mult(mult(i(X_75),X_11),X_75),mult(X_11,op_k(mult(i(X_75),X_11),X_75))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( mult(X_11,i(mult(X_11,op_k(mult(i(X_75),X_11),X_75)))) != i(op_k(mult(i(X_75),X_11),X_75))
| mult(X_11,op_k(mult(i(X_75),X_11),X_75)) != mult(mult(i(X_75),X_11),X_75)
| mult(X_11,i(mult(mult(i(X_75),X_11),X_75))) = i(op_k(mult(i(X_75),X_11),X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_11,i(mult(X_11,op_k(mult(i(X_75),X_11),X_75)))),i(op_k(mult(i(X_75),X_11),X_75))) ),[0,1,0],$fot(mult(mult(i(X_75),X_11),X_75))]]) ).
cnf(refute_0_184,plain,
( mult(X_11,i(mult(X_11,op_k(mult(i(X_75),X_11),X_75)))) != i(op_k(mult(i(X_75),X_11),X_75))
| mult(X_11,i(mult(mult(i(X_75),X_11),X_75))) = i(op_k(mult(i(X_75),X_11),X_75)) ),
inference(resolve,[$cnf( $equal(mult(X_11,op_k(mult(i(X_75),X_11),X_75)),mult(mult(i(X_75),X_11),X_75)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
mult(X_11,i(mult(mult(i(X_75),X_11),X_75))) = i(op_k(mult(i(X_75),X_11),X_75)),
inference(resolve,[$cnf( $equal(mult(X_11,i(mult(X_11,op_k(mult(i(X_75),X_11),X_75)))),i(op_k(mult(i(X_75),X_11),X_75))) )],[refute_0_174,refute_0_184]) ).
cnf(refute_0_186,plain,
mult(mult(B,i(X_325)),i(mult(mult(i(X_325),mult(B,i(X_325))),X_325))) = i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)),
inference(subst,[],[refute_0_185:[bind(X_11,$fot(mult(B,i(X_325)))),bind(X_75,$fot(X_325))]]) ).
cnf(refute_0_187,plain,
mult(mult(i(X_325),mult(B,i(X_325))),X_325) = mult(i(X_325),mult(B,mult(i(X_325),X_325))),
inference(subst,[],[c09:[bind(A,$fot(i(X_325))),bind(C,$fot(X_325))]]) ).
cnf(refute_0_188,plain,
( mult(mult(B,i(X_325)),i(mult(mult(i(X_325),mult(B,i(X_325))),X_325))) != i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))
| mult(mult(i(X_325),mult(B,i(X_325))),X_325) != mult(i(X_325),mult(B,mult(i(X_325),X_325)))
| mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(B,i(X_325)),i(mult(mult(i(X_325),mult(B,i(X_325))),X_325))),i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))) ),[0,1,0],$fot(mult(i(X_325),mult(B,mult(i(X_325),X_325))))]]) ).
cnf(refute_0_189,plain,
( mult(mult(B,i(X_325)),i(mult(mult(i(X_325),mult(B,i(X_325))),X_325))) != i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))
| mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) ),
inference(resolve,[$cnf( $equal(mult(mult(i(X_325),mult(B,i(X_325))),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)),
inference(resolve,[$cnf( $equal(mult(mult(B,i(X_325)),i(mult(mult(i(X_325),mult(B,i(X_325))),X_325))),i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
mult(mult(X_106,i(X_9)),i(mult(i(X_9),X_106))) = i(op_k(i(X_9),X_106)),
inference(subst,[],[refute_0_113:[bind(A,$fot(i(X_9))),bind(B,$fot(X_106))]]) ).
cnf(refute_0_192,plain,
i(mult(i(X_9),X_106)) = mult(X_9,i(X_106)),
inference(subst,[],[refute_0_158:[bind(X_31,$fot(X_106))]]) ).
cnf(refute_0_193,plain,
( i(mult(i(X_9),X_106)) != mult(X_9,i(X_106))
| mult(mult(X_106,i(X_9)),i(mult(i(X_9),X_106))) != i(op_k(i(X_9),X_106))
| mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))) = i(op_k(i(X_9),X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_106,i(X_9)),i(mult(i(X_9),X_106))),i(op_k(i(X_9),X_106))) ),[0,1],$fot(mult(X_9,i(X_106)))]]) ).
cnf(refute_0_194,plain,
( mult(mult(X_106,i(X_9)),i(mult(i(X_9),X_106))) != i(op_k(i(X_9),X_106))
| mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))) = i(op_k(i(X_9),X_106)) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_9),X_106)),mult(X_9,i(X_106))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))) = i(op_k(i(X_9),X_106)),
inference(resolve,[$cnf( $equal(mult(mult(X_106,i(X_9)),i(mult(i(X_9),X_106))),i(op_k(i(X_9),X_106))) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
mult(i(mult(i(X_9),X_66)),mult(X_66,i(X_9))) = op_k(X_66,i(X_9)),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(X_66)),bind(X_16,$fot(i(X_9)))]]) ).
cnf(refute_0_197,plain,
i(mult(i(X_9),X_66)) = mult(X_9,i(X_66)),
inference(subst,[],[refute_0_158:[bind(X_31,$fot(X_66))]]) ).
cnf(refute_0_198,plain,
( i(mult(i(X_9),X_66)) != mult(X_9,i(X_66))
| mult(i(mult(i(X_9),X_66)),mult(X_66,i(X_9))) != op_k(X_66,i(X_9))
| mult(mult(X_9,i(X_66)),mult(X_66,i(X_9))) = op_k(X_66,i(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(i(X_9),X_66)),mult(X_66,i(X_9))),op_k(X_66,i(X_9))) ),[0,0],$fot(mult(X_9,i(X_66)))]]) ).
cnf(refute_0_199,plain,
( mult(i(mult(i(X_9),X_66)),mult(X_66,i(X_9))) != op_k(X_66,i(X_9))
| mult(mult(X_9,i(X_66)),mult(X_66,i(X_9))) = op_k(X_66,i(X_9)) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_9),X_66)),mult(X_9,i(X_66))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
mult(mult(X_9,i(X_66)),mult(X_66,i(X_9))) = op_k(X_66,i(X_9)),
inference(resolve,[$cnf( $equal(mult(i(mult(i(X_9),X_66)),mult(X_66,i(X_9))),op_k(X_66,i(X_9))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))) = op_k(X_9,i(X_106)),
inference(subst,[],[refute_0_200:[bind(X_66,$fot(X_9)),bind(X_9,$fot(X_106))]]) ).
cnf(refute_0_202,plain,
( mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))) != i(op_k(i(X_9),X_106))
| mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))) != op_k(X_9,i(X_106))
| op_k(X_9,i(X_106)) = i(op_k(i(X_9),X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))),i(op_k(i(X_9),X_106))) ),[0],$fot(op_k(X_9,i(X_106)))]]) ).
cnf(refute_0_203,plain,
( mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))) != i(op_k(i(X_9),X_106))
| op_k(X_9,i(X_106)) = i(op_k(i(X_9),X_106)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))),op_k(X_9,i(X_106))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
op_k(X_9,i(X_106)) = i(op_k(i(X_9),X_106)),
inference(resolve,[$cnf( $equal(mult(mult(X_106,i(X_9)),mult(X_9,i(X_106))),i(op_k(i(X_9),X_106))) )],[refute_0_195,refute_0_203]) ).
cnf(refute_0_205,plain,
( op_k(X_9,i(X_106)) != i(op_k(i(X_9),X_106))
| i(op_k(i(X_9),X_106)) = op_k(X_9,i(X_106)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_k(X_9,i(X_106)))),bind(Y,$fot(i(op_k(i(X_9),X_106))))]]) ).
cnf(refute_0_206,plain,
i(op_k(i(X_9),X_106)) = op_k(X_9,i(X_106)),
inference(resolve,[$cnf( $equal(op_k(X_9,i(X_106)),i(op_k(i(X_9),X_106))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
i(op_k(i(X_325),B)) = op_k(X_325,i(B)),
inference(subst,[],[refute_0_206:[bind(X_106,$fot(B)),bind(X_9,$fot(X_325))]]) ).
cnf(refute_0_208,plain,
mult(i(mult(X_16,i(X_98))),mult(i(X_98),X_16)) = op_k(i(X_98),X_16),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(i(X_98)))]]) ).
cnf(refute_0_209,plain,
i(mult(X_30,i(X_9))) = mult(i(X_30),i(i(X_9))),
inference(subst,[],[c05:[bind(A,$fot(X_30)),bind(B,$fot(i(X_9)))]]) ).
cnf(refute_0_210,plain,
( i(i(X_9)) != X_9
| i(mult(X_30,i(X_9))) != mult(i(X_30),i(i(X_9)))
| i(mult(X_30,i(X_9))) = mult(i(X_30),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(X_30,i(X_9))),mult(i(X_30),i(i(X_9)))) ),[1,1],$fot(X_9)]]) ).
cnf(refute_0_211,plain,
( i(mult(X_30,i(X_9))) != mult(i(X_30),i(i(X_9)))
| i(mult(X_30,i(X_9))) = mult(i(X_30),X_9) ),
inference(resolve,[$cnf( $equal(i(i(X_9)),X_9) )],[refute_0_64,refute_0_210]) ).
cnf(refute_0_212,plain,
i(mult(X_30,i(X_9))) = mult(i(X_30),X_9),
inference(resolve,[$cnf( $equal(i(mult(X_30,i(X_9))),mult(i(X_30),i(i(X_9)))) )],[refute_0_209,refute_0_211]) ).
cnf(refute_0_213,plain,
i(mult(X_16,i(X_98))) = mult(i(X_16),X_98),
inference(subst,[],[refute_0_212:[bind(X_30,$fot(X_16)),bind(X_9,$fot(X_98))]]) ).
cnf(refute_0_214,plain,
( i(mult(X_16,i(X_98))) != mult(i(X_16),X_98)
| mult(i(mult(X_16,i(X_98))),mult(i(X_98),X_16)) != op_k(i(X_98),X_16)
| mult(mult(i(X_16),X_98),mult(i(X_98),X_16)) = op_k(i(X_98),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_16,i(X_98))),mult(i(X_98),X_16)),op_k(i(X_98),X_16)) ),[0,0],$fot(mult(i(X_16),X_98))]]) ).
cnf(refute_0_215,plain,
( mult(i(mult(X_16,i(X_98))),mult(i(X_98),X_16)) != op_k(i(X_98),X_16)
| mult(mult(i(X_16),X_98),mult(i(X_98),X_16)) = op_k(i(X_98),X_16) ),
inference(resolve,[$cnf( $equal(i(mult(X_16,i(X_98))),mult(i(X_16),X_98)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
mult(mult(i(X_16),X_98),mult(i(X_98),X_16)) = op_k(i(X_98),X_16),
inference(resolve,[$cnf( $equal(mult(i(mult(X_16,i(X_98))),mult(i(X_98),X_16)),op_k(i(X_98),X_16)) )],[refute_0_208,refute_0_215]) ).
cnf(refute_0_217,plain,
mult(mult(i(B),X_325),mult(i(X_325),B)) = op_k(i(X_325),B),
inference(subst,[],[refute_0_216:[bind(X_16,$fot(B)),bind(X_98,$fot(X_325))]]) ).
cnf(refute_0_218,plain,
mult(B,unit) = B,
inference(subst,[],[c02:[bind(A,$fot(B))]]) ).
cnf(refute_0_219,plain,
mult(i(X_325),X_325) = unit,
inference(subst,[],[c04:[bind(A,$fot(X_325))]]) ).
cnf(refute_0_220,plain,
mult(B,mult(i(X_325),X_325)) = mult(B,mult(i(X_325),X_325)),
introduced(tautology,[refl,[$fot(mult(B,mult(i(X_325),X_325)))]]) ).
cnf(refute_0_221,plain,
( mult(B,mult(i(X_325),X_325)) != mult(B,mult(i(X_325),X_325))
| mult(i(X_325),X_325) != unit
| mult(B,mult(i(X_325),X_325)) = mult(B,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(B,mult(i(X_325),X_325)),mult(B,mult(i(X_325),X_325))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_222,plain,
( mult(i(X_325),X_325) != unit
| mult(B,mult(i(X_325),X_325)) = mult(B,unit) ),
inference(resolve,[$cnf( $equal(mult(B,mult(i(X_325),X_325)),mult(B,mult(i(X_325),X_325))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
mult(B,mult(i(X_325),X_325)) = mult(B,unit),
inference(resolve,[$cnf( $equal(mult(i(X_325),X_325),unit) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
( mult(B,mult(i(X_325),X_325)) != mult(B,unit)
| mult(B,unit) != B
| mult(B,mult(i(X_325),X_325)) = B ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(B,mult(i(X_325),X_325)))),bind(Y,$fot(mult(B,unit))),bind(Z,$fot(B))]]) ).
cnf(refute_0_225,plain,
( mult(B,unit) != B
| mult(B,mult(i(X_325),X_325)) = B ),
inference(resolve,[$cnf( $equal(mult(B,mult(i(X_325),X_325)),mult(B,unit)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
mult(B,mult(i(X_325),X_325)) = B,
inference(resolve,[$cnf( $equal(mult(B,unit),B) )],[refute_0_218,refute_0_225]) ).
cnf(refute_0_227,plain,
mult(i(X_325),mult(B,mult(i(X_325),X_325))) = mult(i(X_325),mult(B,mult(i(X_325),X_325))),
introduced(tautology,[refl,[$fot(mult(i(X_325),mult(B,mult(i(X_325),X_325))))]]) ).
cnf(refute_0_228,plain,
( mult(B,mult(i(X_325),X_325)) != B
| mult(i(X_325),mult(B,mult(i(X_325),X_325))) != mult(i(X_325),mult(B,mult(i(X_325),X_325)))
| mult(i(X_325),mult(B,mult(i(X_325),X_325))) = mult(i(X_325),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_325),mult(B,mult(i(X_325),X_325))),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_229,plain,
( mult(B,mult(i(X_325),X_325)) != B
| mult(i(X_325),mult(B,mult(i(X_325),X_325))) = mult(i(X_325),B) ),
inference(resolve,[$cnf( $equal(mult(i(X_325),mult(B,mult(i(X_325),X_325))),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
mult(i(X_325),mult(B,mult(i(X_325),X_325))) = mult(i(X_325),B),
inference(resolve,[$cnf( $equal(mult(B,mult(i(X_325),X_325)),B) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) = mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))),
introduced(tautology,[refl,[$fot(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))))]]) ).
cnf(refute_0_232,plain,
( mult(i(X_325),mult(B,mult(i(X_325),X_325))) != mult(i(X_325),B)
| mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) != mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))
| mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) = mult(mult(i(B),X_325),mult(i(X_325),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))),mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) ),[1,1],$fot(mult(i(X_325),B))]]) ).
cnf(refute_0_233,plain,
( mult(i(X_325),mult(B,mult(i(X_325),X_325))) != mult(i(X_325),B)
| mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) = mult(mult(i(B),X_325),mult(i(X_325),B)) ),
inference(resolve,[$cnf( $equal(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))),mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) = mult(mult(i(B),X_325),mult(i(X_325),B)),
inference(resolve,[$cnf( $equal(mult(i(X_325),mult(B,mult(i(X_325),X_325))),mult(i(X_325),B)) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
( mult(mult(i(B),X_325),mult(i(X_325),B)) != op_k(i(X_325),B)
| mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) != mult(mult(i(B),X_325),mult(i(X_325),B))
| mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) = op_k(i(X_325),B) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))))),bind(Y,$fot(mult(mult(i(B),X_325),mult(i(X_325),B)))),bind(Z,$fot(op_k(i(X_325),B)))]]) ).
cnf(refute_0_236,plain,
( mult(mult(i(B),X_325),mult(i(X_325),B)) != op_k(i(X_325),B)
| mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) = op_k(i(X_325),B) ),
inference(resolve,[$cnf( $equal(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))),mult(mult(i(B),X_325),mult(i(X_325),B))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) = op_k(i(X_325),B),
inference(resolve,[$cnf( $equal(mult(mult(i(B),X_325),mult(i(X_325),B)),op_k(i(X_325),B)) )],[refute_0_217,refute_0_236]) ).
cnf(refute_0_238,plain,
i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))),
introduced(tautology,[refl,[$fot(i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))))]]) ).
cnf(refute_0_239,plain,
( i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))))
| mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) != op_k(i(X_325),B)
| i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = i(op_k(i(X_325),B)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))),i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))))) ),[1,0],$fot(op_k(i(X_325),B))]]) ).
cnf(refute_0_240,plain,
( mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))) != op_k(i(X_325),B)
| i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = i(op_k(i(X_325),B)) ),
inference(resolve,[$cnf( $equal(i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))),i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = i(op_k(i(X_325),B)),
inference(resolve,[$cnf( $equal(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))),op_k(i(X_325),B)) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != i(op_k(i(X_325),B))
| i(op_k(i(X_325),B)) != op_k(X_325,i(B))
| i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = op_k(X_325,i(B)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))))),bind(Y,$fot(i(op_k(i(X_325),B)))),bind(Z,$fot(op_k(X_325,i(B))))]]) ).
cnf(refute_0_243,plain,
( i(op_k(i(X_325),B)) != op_k(X_325,i(B))
| i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = op_k(X_325,i(B)) ),
inference(resolve,[$cnf( $equal(i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))),i(op_k(i(X_325),B))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = op_k(X_325,i(B)),
inference(resolve,[$cnf( $equal(i(op_k(i(X_325),B)),op_k(X_325,i(B))) )],[refute_0_207,refute_0_243]) ).
cnf(refute_0_245,plain,
i(mult(mult(i(X_44),X_43),B)) = mult(i(mult(i(X_44),X_43)),i(B)),
inference(subst,[],[c05:[bind(A,$fot(mult(i(X_44),X_43)))]]) ).
cnf(refute_0_246,plain,
( i(mult(i(X_44),X_43)) != mult(X_44,i(X_43))
| i(mult(mult(i(X_44),X_43),B)) != mult(i(mult(i(X_44),X_43)),i(B))
| i(mult(mult(i(X_44),X_43),B)) = mult(mult(X_44,i(X_43)),i(B)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(i(X_44),X_43),B)),mult(i(mult(i(X_44),X_43)),i(B))) ),[1,0],$fot(mult(X_44,i(X_43)))]]) ).
cnf(refute_0_247,plain,
( i(mult(mult(i(X_44),X_43),B)) != mult(i(mult(i(X_44),X_43)),i(B))
| i(mult(mult(i(X_44),X_43),B)) = mult(mult(X_44,i(X_43)),i(B)) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_44),X_43)),mult(X_44,i(X_43))) )],[refute_0_159,refute_0_246]) ).
cnf(refute_0_248,plain,
i(mult(mult(i(X_44),X_43),B)) = mult(mult(X_44,i(X_43)),i(B)),
inference(resolve,[$cnf( $equal(i(mult(mult(i(X_44),X_43),B)),mult(i(mult(i(X_44),X_43)),i(B))) )],[refute_0_245,refute_0_247]) ).
cnf(refute_0_249,plain,
( i(mult(mult(i(X_44),X_43),B)) != mult(mult(X_44,i(X_43)),i(B))
| mult(mult(X_44,i(X_43)),i(B)) = i(mult(mult(i(X_44),X_43),B)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i(mult(mult(i(X_44),X_43),B)))),bind(Y,$fot(mult(mult(X_44,i(X_43)),i(B))))]]) ).
cnf(refute_0_250,plain,
mult(mult(X_44,i(X_43)),i(B)) = i(mult(mult(i(X_44),X_43),B)),
inference(resolve,[$cnf( $equal(i(mult(mult(i(X_44),X_43),B)),mult(mult(X_44,i(X_43)),i(B))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))),
inference(subst,[],[refute_0_250:[bind(B,$fot(mult(i(X_325),mult(B,mult(i(X_325),X_325))))),bind(X_43,$fot(X_325)),bind(X_44,$fot(B))]]) ).
cnf(refute_0_252,plain,
( i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != op_k(X_325,i(B))
| mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))))
| mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = op_k(X_325,i(B)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))))),bind(Y,$fot(i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))))),bind(Z,$fot(op_k(X_325,i(B))))]]) ).
cnf(refute_0_253,plain,
( i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != op_k(X_325,i(B))
| mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = op_k(X_325,i(B)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))),i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325)))))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) = op_k(X_325,i(B)),
inference(resolve,[$cnf( $equal(i(mult(mult(i(B),X_325),mult(i(X_325),mult(B,mult(i(X_325),X_325))))),op_k(X_325,i(B))) )],[refute_0_244,refute_0_253]) ).
cnf(refute_0_255,plain,
( mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))
| mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != op_k(X_325,i(B))
| op_k(X_325,i(B)) = i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))),i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))) ),[0],$fot(op_k(X_325,i(B)))]]) ).
cnf(refute_0_256,plain,
( mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))
| op_k(X_325,i(B)) = i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))),op_k(X_325,i(B))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325)) = op_k(mult(X_325,mult(i(B),X_325)),i(X_325)),
inference(subst,[],[refute_0_206:[bind(X_106,$fot(X_325)),bind(X_9,$fot(mult(X_325,mult(i(B),X_325))))]]) ).
cnf(refute_0_258,plain,
mult(i(X_325),mult(B,i(X_325))) = i(mult(X_325,mult(i(B),X_325))),
inference(subst,[],[refute_0_164:[bind(A,$fot(X_325)),bind(X_43,$fot(X_325)),bind(X_44,$fot(B))]]) ).
cnf(refute_0_259,plain,
op_k(mult(i(X_325),mult(B,i(X_325))),X_325) = op_k(mult(i(X_325),mult(B,i(X_325))),X_325),
introduced(tautology,[refl,[$fot(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))]]) ).
cnf(refute_0_260,plain,
( mult(i(X_325),mult(B,i(X_325))) != i(mult(X_325,mult(i(B),X_325)))
| op_k(mult(i(X_325),mult(B,i(X_325))),X_325) != op_k(mult(i(X_325),mult(B,i(X_325))),X_325)
| op_k(mult(i(X_325),mult(B,i(X_325))),X_325) = op_k(i(mult(X_325,mult(i(B),X_325))),X_325) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(mult(i(X_325),mult(B,i(X_325))),X_325),op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) ),[1,0],$fot(i(mult(X_325,mult(i(B),X_325))))]]) ).
cnf(refute_0_261,plain,
( mult(i(X_325),mult(B,i(X_325))) != i(mult(X_325,mult(i(B),X_325)))
| op_k(mult(i(X_325),mult(B,i(X_325))),X_325) = op_k(i(mult(X_325,mult(i(B),X_325))),X_325) ),
inference(resolve,[$cnf( $equal(op_k(mult(i(X_325),mult(B,i(X_325))),X_325),op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
op_k(mult(i(X_325),mult(B,i(X_325))),X_325) = op_k(i(mult(X_325,mult(i(B),X_325))),X_325),
inference(resolve,[$cnf( $equal(mult(i(X_325),mult(B,i(X_325))),i(mult(X_325,mult(i(B),X_325)))) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) = i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)),
introduced(tautology,[refl,[$fot(i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)))]]) ).
cnf(refute_0_264,plain,
( i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) != i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))
| op_k(mult(i(X_325),mult(B,i(X_325))),X_325) != op_k(i(mult(X_325,mult(i(B),X_325))),X_325)
| i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) = i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)),i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))) ),[1,0],$fot(op_k(i(mult(X_325,mult(i(B),X_325))),X_325))]]) ).
cnf(refute_0_265,plain,
( op_k(mult(i(X_325),mult(B,i(X_325))),X_325) != op_k(i(mult(X_325,mult(i(B),X_325))),X_325)
| i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) = i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325)) ),
inference(resolve,[$cnf( $equal(i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)),i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) = i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325)),
inference(resolve,[$cnf( $equal(op_k(mult(i(X_325),mult(B,i(X_325))),X_325),op_k(i(mult(X_325,mult(i(B),X_325))),X_325)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
( i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325)) != op_k(mult(X_325,mult(i(B),X_325)),i(X_325))
| i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) != i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325))
| i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) = op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)))),bind(Y,$fot(i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325)))),bind(Z,$fot(op_k(mult(X_325,mult(i(B),X_325)),i(X_325))))]]) ).
cnf(refute_0_268,plain,
( i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325)) != op_k(mult(X_325,mult(i(B),X_325)),i(X_325))
| i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) = op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) ),
inference(resolve,[$cnf( $equal(i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)),i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) = op_k(mult(X_325,mult(i(B),X_325)),i(X_325)),
inference(resolve,[$cnf( $equal(i(op_k(i(mult(X_325,mult(i(B),X_325))),X_325)),op_k(mult(X_325,mult(i(B),X_325)),i(X_325))) )],[refute_0_257,refute_0_268]) ).
cnf(refute_0_270,plain,
( i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)) != op_k(mult(X_325,mult(i(B),X_325)),i(X_325))
| op_k(X_325,i(B)) != i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))
| op_k(X_325,i(B)) = op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(X_325,i(B)),i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))) ),[1],$fot(op_k(mult(X_325,mult(i(B),X_325)),i(X_325)))]]) ).
cnf(refute_0_271,plain,
( op_k(X_325,i(B)) != i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))
| op_k(X_325,i(B)) = op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) ),
inference(resolve,[$cnf( $equal(i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325)),op_k(mult(X_325,mult(i(B),X_325)),i(X_325))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
( mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))) != i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))
| op_k(X_325,i(B)) = op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) ),
inference(resolve,[$cnf( $equal(op_k(X_325,i(B)),i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))) )],[refute_0_256,refute_0_271]) ).
cnf(refute_0_273,plain,
op_k(X_325,i(B)) = op_k(mult(X_325,mult(i(B),X_325)),i(X_325)),
inference(resolve,[$cnf( $equal(mult(mult(B,i(X_325)),i(mult(i(X_325),mult(B,mult(i(X_325),X_325))))),i(op_k(mult(i(X_325),mult(B,i(X_325))),X_325))) )],[refute_0_190,refute_0_272]) ).
cnf(refute_0_274,plain,
mult(i(mult(mult(i(X_66),B),X_66)),mult(X_66,mult(i(X_66),B))) = op_k(X_66,mult(i(X_66),B)),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(X_66)),bind(X_16,$fot(mult(i(X_66),B)))]]) ).
cnf(refute_0_275,plain,
mult(X_66,mult(i(X_66),B)) = B,
inference(subst,[],[refute_0_100:[bind(X_11,$fot(X_66))]]) ).
cnf(refute_0_276,plain,
( mult(X_66,mult(i(X_66),B)) != B
| mult(i(mult(mult(i(X_66),B),X_66)),mult(X_66,mult(i(X_66),B))) != op_k(X_66,mult(i(X_66),B))
| mult(i(mult(mult(i(X_66),B),X_66)),B) = op_k(X_66,mult(i(X_66),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(mult(i(X_66),B),X_66)),mult(X_66,mult(i(X_66),B))),op_k(X_66,mult(i(X_66),B))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_277,plain,
( mult(i(mult(mult(i(X_66),B),X_66)),mult(X_66,mult(i(X_66),B))) != op_k(X_66,mult(i(X_66),B))
| mult(i(mult(mult(i(X_66),B),X_66)),B) = op_k(X_66,mult(i(X_66),B)) ),
inference(resolve,[$cnf( $equal(mult(X_66,mult(i(X_66),B)),B) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
mult(i(mult(mult(i(X_66),B),X_66)),B) = op_k(X_66,mult(i(X_66),B)),
inference(resolve,[$cnf( $equal(mult(i(mult(mult(i(X_66),B),X_66)),mult(X_66,mult(i(X_66),B))),op_k(X_66,mult(i(X_66),B))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
mult(i(mult(mult(i(X_465),mult(B,i(X_465))),X_465)),mult(B,i(X_465))) = op_k(X_465,mult(i(X_465),mult(B,i(X_465)))),
inference(subst,[],[refute_0_278:[bind(B,$fot(mult(B,i(X_465)))),bind(X_66,$fot(X_465))]]) ).
cnf(refute_0_280,plain,
mult(mult(i(X_465),mult(B,i(X_465))),X_465) = mult(i(X_465),mult(B,mult(i(X_465),X_465))),
inference(subst,[],[c09:[bind(A,$fot(i(X_465))),bind(C,$fot(X_465))]]) ).
cnf(refute_0_281,plain,
( mult(i(mult(mult(i(X_465),mult(B,i(X_465))),X_465)),mult(B,i(X_465))) != op_k(X_465,mult(i(X_465),mult(B,i(X_465))))
| mult(mult(i(X_465),mult(B,i(X_465))),X_465) != mult(i(X_465),mult(B,mult(i(X_465),X_465)))
| mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) = op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(mult(i(X_465),mult(B,i(X_465))),X_465)),mult(B,i(X_465))),op_k(X_465,mult(i(X_465),mult(B,i(X_465))))) ),[0,0,0],$fot(mult(i(X_465),mult(B,mult(i(X_465),X_465))))]]) ).
cnf(refute_0_282,plain,
( mult(i(mult(mult(i(X_465),mult(B,i(X_465))),X_465)),mult(B,i(X_465))) != op_k(X_465,mult(i(X_465),mult(B,i(X_465))))
| mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) = op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(X_465),mult(B,i(X_465))),X_465),mult(i(X_465),mult(B,mult(i(X_465),X_465)))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) = op_k(X_465,mult(i(X_465),mult(B,i(X_465)))),
inference(resolve,[$cnf( $equal(mult(i(mult(mult(i(X_465),mult(B,i(X_465))),X_465)),mult(B,i(X_465))),op_k(X_465,mult(i(X_465),mult(B,i(X_465))))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
i(op_k(i(B),X_465)) = op_k(B,i(X_465)),
inference(subst,[],[refute_0_206:[bind(X_106,$fot(X_465)),bind(X_9,$fot(B))]]) ).
cnf(refute_0_285,plain,
mult(mult(i(X_465),B),mult(i(B),X_465)) = op_k(i(B),X_465),
inference(subst,[],[refute_0_216:[bind(X_16,$fot(X_465)),bind(X_98,$fot(B))]]) ).
cnf(refute_0_286,plain,
mult(i(X_465),X_465) = unit,
inference(subst,[],[c04:[bind(A,$fot(X_465))]]) ).
cnf(refute_0_287,plain,
mult(B,mult(i(X_465),X_465)) = mult(B,mult(i(X_465),X_465)),
introduced(tautology,[refl,[$fot(mult(B,mult(i(X_465),X_465)))]]) ).
cnf(refute_0_288,plain,
( mult(B,mult(i(X_465),X_465)) != mult(B,mult(i(X_465),X_465))
| mult(i(X_465),X_465) != unit
| mult(B,mult(i(X_465),X_465)) = mult(B,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(B,mult(i(X_465),X_465)),mult(B,mult(i(X_465),X_465))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_289,plain,
( mult(i(X_465),X_465) != unit
| mult(B,mult(i(X_465),X_465)) = mult(B,unit) ),
inference(resolve,[$cnf( $equal(mult(B,mult(i(X_465),X_465)),mult(B,mult(i(X_465),X_465))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
mult(B,mult(i(X_465),X_465)) = mult(B,unit),
inference(resolve,[$cnf( $equal(mult(i(X_465),X_465),unit) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
( mult(B,mult(i(X_465),X_465)) != mult(B,unit)
| mult(B,unit) != B
| mult(B,mult(i(X_465),X_465)) = B ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(B,mult(i(X_465),X_465)))),bind(Y,$fot(mult(B,unit))),bind(Z,$fot(B))]]) ).
cnf(refute_0_292,plain,
( mult(B,unit) != B
| mult(B,mult(i(X_465),X_465)) = B ),
inference(resolve,[$cnf( $equal(mult(B,mult(i(X_465),X_465)),mult(B,unit)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
mult(B,mult(i(X_465),X_465)) = B,
inference(resolve,[$cnf( $equal(mult(B,unit),B) )],[refute_0_218,refute_0_292]) ).
cnf(refute_0_294,plain,
mult(i(X_465),mult(B,mult(i(X_465),X_465))) = mult(i(X_465),mult(B,mult(i(X_465),X_465))),
introduced(tautology,[refl,[$fot(mult(i(X_465),mult(B,mult(i(X_465),X_465))))]]) ).
cnf(refute_0_295,plain,
( mult(B,mult(i(X_465),X_465)) != B
| mult(i(X_465),mult(B,mult(i(X_465),X_465))) != mult(i(X_465),mult(B,mult(i(X_465),X_465)))
| mult(i(X_465),mult(B,mult(i(X_465),X_465))) = mult(i(X_465),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(X_465),mult(B,mult(i(X_465),X_465)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_296,plain,
( mult(B,mult(i(X_465),X_465)) != B
| mult(i(X_465),mult(B,mult(i(X_465),X_465))) = mult(i(X_465),B) ),
inference(resolve,[$cnf( $equal(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(X_465),mult(B,mult(i(X_465),X_465)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
mult(i(X_465),mult(B,mult(i(X_465),X_465))) = mult(i(X_465),B),
inference(resolve,[$cnf( $equal(mult(B,mult(i(X_465),X_465)),B) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) = mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)),
introduced(tautology,[refl,[$fot(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)))]]) ).
cnf(refute_0_299,plain,
( mult(i(X_465),mult(B,mult(i(X_465),X_465))) != mult(i(X_465),B)
| mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) != mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))
| mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) = mult(mult(i(X_465),B),mult(i(B),X_465)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)),mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) ),[1,0],$fot(mult(i(X_465),B))]]) ).
cnf(refute_0_300,plain,
( mult(i(X_465),mult(B,mult(i(X_465),X_465))) != mult(i(X_465),B)
| mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) = mult(mult(i(X_465),B),mult(i(B),X_465)) ),
inference(resolve,[$cnf( $equal(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)),mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) = mult(mult(i(X_465),B),mult(i(B),X_465)),
inference(resolve,[$cnf( $equal(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(X_465),B)) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
( mult(mult(i(X_465),B),mult(i(B),X_465)) != op_k(i(B),X_465)
| mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) != mult(mult(i(X_465),B),mult(i(B),X_465))
| mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) = op_k(i(B),X_465) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)))),bind(Y,$fot(mult(mult(i(X_465),B),mult(i(B),X_465)))),bind(Z,$fot(op_k(i(B),X_465)))]]) ).
cnf(refute_0_303,plain,
( mult(mult(i(X_465),B),mult(i(B),X_465)) != op_k(i(B),X_465)
| mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) = op_k(i(B),X_465) ),
inference(resolve,[$cnf( $equal(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)),mult(mult(i(X_465),B),mult(i(B),X_465))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) = op_k(i(B),X_465),
inference(resolve,[$cnf( $equal(mult(mult(i(X_465),B),mult(i(B),X_465)),op_k(i(B),X_465)) )],[refute_0_285,refute_0_303]) ).
cnf(refute_0_305,plain,
i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) = i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))),
introduced(tautology,[refl,[$fot(i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))))]]) ).
cnf(refute_0_306,plain,
( i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) != i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)))
| mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) != op_k(i(B),X_465)
| i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) = i(op_k(i(B),X_465)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))),i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)))) ),[1,0],$fot(op_k(i(B),X_465))]]) ).
cnf(refute_0_307,plain,
( mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)) != op_k(i(B),X_465)
| i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) = i(op_k(i(B),X_465)) ),
inference(resolve,[$cnf( $equal(i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))),i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) = i(op_k(i(B),X_465)),
inference(resolve,[$cnf( $equal(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)),op_k(i(B),X_465)) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
( i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) != i(op_k(i(B),X_465))
| i(op_k(i(B),X_465)) != op_k(B,i(X_465))
| i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) = op_k(B,i(X_465)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))))),bind(Y,$fot(i(op_k(i(B),X_465)))),bind(Z,$fot(op_k(B,i(X_465))))]]) ).
cnf(refute_0_310,plain,
( i(op_k(i(B),X_465)) != op_k(B,i(X_465))
| i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) = op_k(B,i(X_465)) ),
inference(resolve,[$cnf( $equal(i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))),i(op_k(i(B),X_465))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) = op_k(B,i(X_465)),
inference(resolve,[$cnf( $equal(i(op_k(i(B),X_465)),op_k(B,i(X_465))) )],[refute_0_284,refute_0_310]) ).
cnf(refute_0_312,plain,
mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) = i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))),
inference(subst,[],[refute_0_164:[bind(A,$fot(mult(i(X_465),mult(B,mult(i(X_465),X_465))))),bind(X_43,$fot(X_465)),bind(X_44,$fot(B))]]) ).
cnf(refute_0_313,plain,
( i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) != op_k(B,i(X_465))
| mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) != i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)))
| mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) = op_k(B,i(X_465)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))))),bind(Y,$fot(i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))))),bind(Z,$fot(op_k(B,i(X_465))))]]) ).
cnf(refute_0_314,plain,
( i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))) != op_k(B,i(X_465))
| mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) = op_k(B,i(X_465)) ),
inference(resolve,[$cnf( $equal(mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))),i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) = op_k(B,i(X_465)),
inference(resolve,[$cnf( $equal(i(mult(mult(i(X_465),mult(B,mult(i(X_465),X_465))),mult(i(B),X_465))),op_k(B,i(X_465))) )],[refute_0_311,refute_0_314]) ).
cnf(refute_0_316,plain,
( mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) != op_k(B,i(X_465))
| mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) != op_k(X_465,mult(i(X_465),mult(B,i(X_465))))
| op_k(B,i(X_465)) = op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))),op_k(X_465,mult(i(X_465),mult(B,i(X_465))))) ),[0],$fot(op_k(B,i(X_465)))]]) ).
cnf(refute_0_317,plain,
( mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) != op_k(X_465,mult(i(X_465),mult(B,i(X_465))))
| op_k(B,i(X_465)) = op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) ),
inference(resolve,[$cnf( $equal(mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))),op_k(B,i(X_465))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
mult(i(X_465),mult(B,i(X_465))) = i(mult(X_465,mult(i(B),X_465))),
inference(subst,[],[refute_0_164:[bind(A,$fot(X_465)),bind(X_43,$fot(X_465)),bind(X_44,$fot(B))]]) ).
cnf(refute_0_319,plain,
op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) = op_k(X_465,mult(i(X_465),mult(B,i(X_465)))),
introduced(tautology,[refl,[$fot(op_k(X_465,mult(i(X_465),mult(B,i(X_465)))))]]) ).
cnf(refute_0_320,plain,
( mult(i(X_465),mult(B,i(X_465))) != i(mult(X_465,mult(i(B),X_465)))
| op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) != op_k(X_465,mult(i(X_465),mult(B,i(X_465))))
| op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) = op_k(X_465,i(mult(X_465,mult(i(B),X_465)))) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(X_465,mult(i(X_465),mult(B,i(X_465)))),op_k(X_465,mult(i(X_465),mult(B,i(X_465))))) ),[1,1],$fot(i(mult(X_465,mult(i(B),X_465))))]]) ).
cnf(refute_0_321,plain,
( mult(i(X_465),mult(B,i(X_465))) != i(mult(X_465,mult(i(B),X_465)))
| op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) = op_k(X_465,i(mult(X_465,mult(i(B),X_465)))) ),
inference(resolve,[$cnf( $equal(op_k(X_465,mult(i(X_465),mult(B,i(X_465)))),op_k(X_465,mult(i(X_465),mult(B,i(X_465))))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) = op_k(X_465,i(mult(X_465,mult(i(B),X_465)))),
inference(resolve,[$cnf( $equal(mult(i(X_465),mult(B,i(X_465))),i(mult(X_465,mult(i(B),X_465)))) )],[refute_0_318,refute_0_321]) ).
cnf(refute_0_323,plain,
( op_k(B,i(X_465)) != op_k(X_465,mult(i(X_465),mult(B,i(X_465))))
| op_k(X_465,mult(i(X_465),mult(B,i(X_465)))) != op_k(X_465,i(mult(X_465,mult(i(B),X_465))))
| op_k(B,i(X_465)) = op_k(X_465,i(mult(X_465,mult(i(B),X_465)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op_k(B,i(X_465)),op_k(X_465,i(mult(X_465,mult(i(B),X_465))))) ),[0],$fot(op_k(X_465,mult(i(X_465),mult(B,i(X_465)))))]]) ).
cnf(refute_0_324,plain,
( op_k(B,i(X_465)) != op_k(X_465,mult(i(X_465),mult(B,i(X_465))))
| op_k(B,i(X_465)) = op_k(X_465,i(mult(X_465,mult(i(B),X_465)))) ),
inference(resolve,[$cnf( $equal(op_k(X_465,mult(i(X_465),mult(B,i(X_465)))),op_k(X_465,i(mult(X_465,mult(i(B),X_465))))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))) != op_k(X_465,mult(i(X_465),mult(B,i(X_465))))
| op_k(B,i(X_465)) = op_k(X_465,i(mult(X_465,mult(i(B),X_465)))) ),
inference(resolve,[$cnf( $equal(op_k(B,i(X_465)),op_k(X_465,mult(i(X_465),mult(B,i(X_465))))) )],[refute_0_317,refute_0_324]) ).
cnf(refute_0_326,plain,
op_k(B,i(X_465)) = op_k(X_465,i(mult(X_465,mult(i(B),X_465)))),
inference(resolve,[$cnf( $equal(mult(i(mult(i(X_465),mult(B,mult(i(X_465),X_465)))),mult(B,i(X_465))),op_k(X_465,mult(i(X_465),mult(B,i(X_465))))) )],[refute_0_283,refute_0_325]) ).
cnf(refute_0_327,plain,
( op_k(B,i(X_465)) != op_k(X_465,i(mult(X_465,mult(i(B),X_465))))
| op_k(X_465,i(mult(X_465,mult(i(B),X_465)))) = op_k(B,i(X_465)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_k(B,i(X_465)))),bind(Y,$fot(op_k(X_465,i(mult(X_465,mult(i(B),X_465))))))]]) ).
cnf(refute_0_328,plain,
op_k(X_465,i(mult(X_465,mult(i(B),X_465)))) = op_k(B,i(X_465)),
inference(resolve,[$cnf( $equal(op_k(B,i(X_465)),op_k(X_465,i(mult(X_465,mult(i(B),X_465))))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
op_k(X_325,i(mult(X_325,mult(i(B),X_325)))) = op_k(B,i(X_325)),
inference(subst,[],[refute_0_328:[bind(X_465,$fot(X_325))]]) ).
cnf(refute_0_330,plain,
rd(op_k(A,B),mult(mult(B,A),op_k(A,B))) = i(mult(B,A)),
inference(subst,[],[refute_0_24:[bind(A,$fot(mult(B,A))),bind(B,$fot(op_k(A,B)))]]) ).
cnf(refute_0_331,plain,
( mult(mult(B,A),op_k(A,B)) != mult(A,B)
| rd(op_k(A,B),mult(mult(B,A),op_k(A,B))) != i(mult(B,A))
| rd(op_k(A,B),mult(A,B)) = i(mult(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(A,B),mult(mult(B,A),op_k(A,B))),i(mult(B,A))) ),[0,1],$fot(mult(A,B))]]) ).
cnf(refute_0_332,plain,
( rd(op_k(A,B),mult(mult(B,A),op_k(A,B))) != i(mult(B,A))
| rd(op_k(A,B),mult(A,B)) = i(mult(B,A)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,A),op_k(A,B)),mult(A,B)) )],[refute_0_110,refute_0_331]) ).
cnf(refute_0_333,plain,
rd(op_k(A,B),mult(A,B)) = i(mult(B,A)),
inference(resolve,[$cnf( $equal(rd(op_k(A,B),mult(mult(B,A),op_k(A,B))),i(mult(B,A))) )],[refute_0_330,refute_0_332]) ).
cnf(refute_0_334,plain,
rd(op_k(rd(A,X_50),X_50),mult(rd(A,X_50),X_50)) = i(mult(X_50,rd(A,X_50))),
inference(subst,[],[refute_0_333:[bind(A,$fot(rd(A,X_50))),bind(B,$fot(X_50))]]) ).
cnf(refute_0_335,plain,
mult(rd(A,X_50),X_50) = A,
inference(subst,[],[c08:[bind(B,$fot(X_50))]]) ).
cnf(refute_0_336,plain,
( mult(rd(A,X_50),X_50) != A
| rd(op_k(rd(A,X_50),X_50),mult(rd(A,X_50),X_50)) != i(mult(X_50,rd(A,X_50)))
| rd(op_k(rd(A,X_50),X_50),A) = i(mult(X_50,rd(A,X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(rd(A,X_50),X_50),mult(rd(A,X_50),X_50)),i(mult(X_50,rd(A,X_50)))) ),[0,1],$fot(A)]]) ).
cnf(refute_0_337,plain,
( rd(op_k(rd(A,X_50),X_50),mult(rd(A,X_50),X_50)) != i(mult(X_50,rd(A,X_50)))
| rd(op_k(rd(A,X_50),X_50),A) = i(mult(X_50,rd(A,X_50))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_50),X_50),A) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
rd(op_k(rd(A,X_50),X_50),A) = i(mult(X_50,rd(A,X_50))),
inference(resolve,[$cnf( $equal(rd(op_k(rd(A,X_50),X_50),mult(rd(A,X_50),X_50)),i(mult(X_50,rd(A,X_50)))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
rd(op_k(rd(op_k(i(X_200),mult(X_200,X_50)),X_50),X_50),op_k(i(X_200),mult(X_200,X_50))) = i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))),
inference(subst,[],[refute_0_338:[bind(A,$fot(op_k(i(X_200),mult(X_200,X_50))))]]) ).
cnf(refute_0_340,plain,
rd(op_k(i(A),mult(A,B)),mult(i(A),mult(A,B))) = i(mult(mult(A,B),i(A))),
inference(subst,[],[refute_0_333:[bind(A,$fot(i(A))),bind(B,$fot(mult(A,B)))]]) ).
cnf(refute_0_341,plain,
( mult(i(A),mult(A,B)) != B
| rd(op_k(i(A),mult(A,B)),mult(i(A),mult(A,B))) != i(mult(mult(A,B),i(A)))
| rd(op_k(i(A),mult(A,B)),B) = i(mult(mult(A,B),i(A))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(i(A),mult(A,B)),mult(i(A),mult(A,B))),i(mult(mult(A,B),i(A)))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_342,plain,
( rd(op_k(i(A),mult(A,B)),mult(i(A),mult(A,B))) != i(mult(mult(A,B),i(A)))
| rd(op_k(i(A),mult(A,B)),B) = i(mult(mult(A,B),i(A))) ),
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,B)),B) )],[c06,refute_0_341]) ).
cnf(refute_0_343,plain,
rd(op_k(i(A),mult(A,B)),B) = i(mult(mult(A,B),i(A))),
inference(resolve,[$cnf( $equal(rd(op_k(i(A),mult(A,B)),mult(i(A),mult(A,B))),i(mult(mult(A,B),i(A)))) )],[refute_0_340,refute_0_342]) ).
cnf(refute_0_344,plain,
i(mult(mult(A,B),i(A))) = mult(i(mult(A,B)),A),
inference(subst,[],[refute_0_212:[bind(X_30,$fot(mult(A,B))),bind(X_9,$fot(A))]]) ).
cnf(refute_0_345,plain,
( i(mult(mult(A,B),i(A))) != mult(i(mult(A,B)),A)
| rd(op_k(i(A),mult(A,B)),B) != i(mult(mult(A,B),i(A)))
| rd(op_k(i(A),mult(A,B)),B) = mult(i(mult(A,B)),A) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(i(A),mult(A,B)),B),i(mult(mult(A,B),i(A)))) ),[1],$fot(mult(i(mult(A,B)),A))]]) ).
cnf(refute_0_346,plain,
( rd(op_k(i(A),mult(A,B)),B) != i(mult(mult(A,B),i(A)))
| rd(op_k(i(A),mult(A,B)),B) = mult(i(mult(A,B)),A) ),
inference(resolve,[$cnf( $equal(i(mult(mult(A,B),i(A))),mult(i(mult(A,B)),A)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
rd(op_k(i(A),mult(A,B)),B) = mult(i(mult(A,B)),A),
inference(resolve,[$cnf( $equal(rd(op_k(i(A),mult(A,B)),B),i(mult(mult(A,B),i(A)))) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
rd(op_k(i(X_200),mult(X_200,X_50)),X_50) = mult(i(mult(X_200,X_50)),X_200),
inference(subst,[],[refute_0_347:[bind(A,$fot(X_200)),bind(B,$fot(X_50))]]) ).
cnf(refute_0_349,plain,
( rd(op_k(i(X_200),mult(X_200,X_50)),X_50) != mult(i(mult(X_200,X_50)),X_200)
| rd(op_k(rd(op_k(i(X_200),mult(X_200,X_50)),X_50),X_50),op_k(i(X_200),mult(X_200,X_50))) != i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(rd(op_k(i(X_200),mult(X_200,X_50)),X_50),X_50),op_k(i(X_200),mult(X_200,X_50))),i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))) ),[0,0,0],$fot(mult(i(mult(X_200,X_50)),X_200))]]) ).
cnf(refute_0_350,plain,
( rd(op_k(rd(op_k(i(X_200),mult(X_200,X_50)),X_50),X_50),op_k(i(X_200),mult(X_200,X_50))) != i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) ),
inference(resolve,[$cnf( $equal(rd(op_k(i(X_200),mult(X_200,X_50)),X_50),mult(i(mult(X_200,X_50)),X_200)) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))),
inference(resolve,[$cnf( $equal(rd(op_k(rd(op_k(i(X_200),mult(X_200,X_50)),X_50),X_50),op_k(i(X_200),mult(X_200,X_50))),i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))) )],[refute_0_339,refute_0_350]) ).
cnf(refute_0_352,plain,
i(op_k(i(mult(X_200,X_50)),X_200)) = op_k(mult(X_200,X_50),i(X_200)),
inference(subst,[],[refute_0_206:[bind(X_106,$fot(X_200)),bind(X_9,$fot(mult(X_200,X_50)))]]) ).
cnf(refute_0_353,plain,
mult(i(mult(X_67,i(mult(X_67,X_31)))),mult(i(mult(X_67,X_31)),X_67)) = op_k(i(mult(X_67,X_31)),X_67),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(i(mult(X_67,X_31)))),bind(X_16,$fot(X_67))]]) ).
cnf(refute_0_354,plain,
mult(X_67,i(mult(X_67,X_31))) = i(X_31),
inference(subst,[],[refute_0_107:[bind(X_11,$fot(X_67))]]) ).
cnf(refute_0_355,plain,
( mult(X_67,i(mult(X_67,X_31))) != i(X_31)
| mult(i(mult(X_67,i(mult(X_67,X_31)))),mult(i(mult(X_67,X_31)),X_67)) != op_k(i(mult(X_67,X_31)),X_67)
| mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) = op_k(i(mult(X_67,X_31)),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_67,i(mult(X_67,X_31)))),mult(i(mult(X_67,X_31)),X_67)),op_k(i(mult(X_67,X_31)),X_67)) ),[0,0,0],$fot(i(X_31))]]) ).
cnf(refute_0_356,plain,
( mult(i(mult(X_67,i(mult(X_67,X_31)))),mult(i(mult(X_67,X_31)),X_67)) != op_k(i(mult(X_67,X_31)),X_67)
| mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) = op_k(i(mult(X_67,X_31)),X_67) ),
inference(resolve,[$cnf( $equal(mult(X_67,i(mult(X_67,X_31))),i(X_31)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) = op_k(i(mult(X_67,X_31)),X_67),
inference(resolve,[$cnf( $equal(mult(i(mult(X_67,i(mult(X_67,X_31)))),mult(i(mult(X_67,X_31)),X_67)),op_k(i(mult(X_67,X_31)),X_67)) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
i(i(X_31)) = X_31,
inference(subst,[],[refute_0_64:[bind(X_9,$fot(X_31))]]) ).
cnf(refute_0_359,plain,
mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) = mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)),
introduced(tautology,[refl,[$fot(mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)))]]) ).
cnf(refute_0_360,plain,
( i(i(X_31)) != X_31
| mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) != mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67))
| mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) = mult(X_31,mult(i(mult(X_67,X_31)),X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)),mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67))) ),[1,0],$fot(X_31)]]) ).
cnf(refute_0_361,plain,
( i(i(X_31)) != X_31
| mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) = mult(X_31,mult(i(mult(X_67,X_31)),X_67)) ),
inference(resolve,[$cnf( $equal(mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)),mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) = mult(X_31,mult(i(mult(X_67,X_31)),X_67)),
inference(resolve,[$cnf( $equal(i(i(X_31)),X_31) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
( mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) != mult(X_31,mult(i(mult(X_67,X_31)),X_67))
| mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) != op_k(i(mult(X_67,X_31)),X_67)
| mult(X_31,mult(i(mult(X_67,X_31)),X_67)) = op_k(i(mult(X_67,X_31)),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)),op_k(i(mult(X_67,X_31)),X_67)) ),[0],$fot(mult(X_31,mult(i(mult(X_67,X_31)),X_67)))]]) ).
cnf(refute_0_364,plain,
( mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)) != op_k(i(mult(X_67,X_31)),X_67)
| mult(X_31,mult(i(mult(X_67,X_31)),X_67)) = op_k(i(mult(X_67,X_31)),X_67) ),
inference(resolve,[$cnf( $equal(mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)),mult(X_31,mult(i(mult(X_67,X_31)),X_67))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
mult(X_31,mult(i(mult(X_67,X_31)),X_67)) = op_k(i(mult(X_67,X_31)),X_67),
inference(resolve,[$cnf( $equal(mult(i(i(X_31)),mult(i(mult(X_67,X_31)),X_67)),op_k(i(mult(X_67,X_31)),X_67)) )],[refute_0_357,refute_0_364]) ).
cnf(refute_0_366,plain,
mult(X_50,mult(i(mult(X_200,X_50)),X_200)) = op_k(i(mult(X_200,X_50)),X_200),
inference(subst,[],[refute_0_365:[bind(X_31,$fot(X_50)),bind(X_67,$fot(X_200))]]) ).
cnf(refute_0_367,plain,
mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) = mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)),
introduced(tautology,[refl,[$fot(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))]]) ).
cnf(refute_0_368,plain,
( mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) != mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))
| rd(op_k(i(X_200),mult(X_200,X_50)),X_50) != mult(i(mult(X_200,X_50)),X_200)
| mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) = mult(X_50,mult(i(mult(X_200,X_50)),X_200)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)),mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) ),[1,1],$fot(mult(i(mult(X_200,X_50)),X_200))]]) ).
cnf(refute_0_369,plain,
( rd(op_k(i(X_200),mult(X_200,X_50)),X_50) != mult(i(mult(X_200,X_50)),X_200)
| mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) = mult(X_50,mult(i(mult(X_200,X_50)),X_200)) ),
inference(resolve,[$cnf( $equal(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)),mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) = mult(X_50,mult(i(mult(X_200,X_50)),X_200)),
inference(resolve,[$cnf( $equal(rd(op_k(i(X_200),mult(X_200,X_50)),X_50),mult(i(mult(X_200,X_50)),X_200)) )],[refute_0_348,refute_0_369]) ).
cnf(refute_0_371,plain,
( mult(X_50,mult(i(mult(X_200,X_50)),X_200)) != op_k(i(mult(X_200,X_50)),X_200)
| mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) != mult(X_50,mult(i(mult(X_200,X_50)),X_200))
| mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) = op_k(i(mult(X_200,X_50)),X_200) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))),bind(Y,$fot(mult(X_50,mult(i(mult(X_200,X_50)),X_200)))),bind(Z,$fot(op_k(i(mult(X_200,X_50)),X_200)))]]) ).
cnf(refute_0_372,plain,
( mult(X_50,mult(i(mult(X_200,X_50)),X_200)) != op_k(i(mult(X_200,X_50)),X_200)
| mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) = op_k(i(mult(X_200,X_50)),X_200) ),
inference(resolve,[$cnf( $equal(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)),mult(X_50,mult(i(mult(X_200,X_50)),X_200))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) = op_k(i(mult(X_200,X_50)),X_200),
inference(resolve,[$cnf( $equal(mult(X_50,mult(i(mult(X_200,X_50)),X_200)),op_k(i(mult(X_200,X_50)),X_200)) )],[refute_0_366,refute_0_372]) ).
cnf(refute_0_374,plain,
i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) = i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))),
introduced(tautology,[refl,[$fot(i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))))]]) ).
cnf(refute_0_375,plain,
( i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) != i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))
| mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) != op_k(i(mult(X_200,X_50)),X_200)
| i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) = i(op_k(i(mult(X_200,X_50)),X_200)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))),i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))) ),[1,0],$fot(op_k(i(mult(X_200,X_50)),X_200))]]) ).
cnf(refute_0_376,plain,
( mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)) != op_k(i(mult(X_200,X_50)),X_200)
| i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) = i(op_k(i(mult(X_200,X_50)),X_200)) ),
inference(resolve,[$cnf( $equal(i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))),i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) = i(op_k(i(mult(X_200,X_50)),X_200)),
inference(resolve,[$cnf( $equal(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)),op_k(i(mult(X_200,X_50)),X_200)) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
( i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) != i(op_k(i(mult(X_200,X_50)),X_200))
| i(op_k(i(mult(X_200,X_50)),X_200)) != op_k(mult(X_200,X_50),i(X_200))
| i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) = op_k(mult(X_200,X_50),i(X_200)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))))),bind(Y,$fot(i(op_k(i(mult(X_200,X_50)),X_200)))),bind(Z,$fot(op_k(mult(X_200,X_50),i(X_200))))]]) ).
cnf(refute_0_379,plain,
( i(op_k(i(mult(X_200,X_50)),X_200)) != op_k(mult(X_200,X_50),i(X_200))
| i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) = op_k(mult(X_200,X_50),i(X_200)) ),
inference(resolve,[$cnf( $equal(i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))),i(op_k(i(mult(X_200,X_50)),X_200))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) = op_k(mult(X_200,X_50),i(X_200)),
inference(resolve,[$cnf( $equal(i(op_k(i(mult(X_200,X_50)),X_200)),op_k(mult(X_200,X_50),i(X_200))) )],[refute_0_352,refute_0_379]) ).
cnf(refute_0_381,plain,
( i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))) != op_k(mult(X_200,X_50),i(X_200))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) != i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = op_k(mult(X_200,X_50),i(X_200)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))),i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))) ),[1],$fot(op_k(mult(X_200,X_50),i(X_200)))]]) ).
cnf(refute_0_382,plain,
( rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) != i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = op_k(mult(X_200,X_50),i(X_200)) ),
inference(resolve,[$cnf( $equal(i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50))),op_k(mult(X_200,X_50),i(X_200))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = op_k(mult(X_200,X_50),i(X_200)),
inference(resolve,[$cnf( $equal(rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))),i(mult(X_50,rd(op_k(i(X_200),mult(X_200,X_50)),X_50)))) )],[refute_0_351,refute_0_382]) ).
cnf(refute_0_384,plain,
mult(unit,op_k(X_200,i(mult(X_200,X_50)))) = op_k(X_200,i(mult(X_200,X_50))),
inference(subst,[],[c01:[bind(A,$fot(op_k(X_200,i(mult(X_200,X_50)))))]]) ).
cnf(refute_0_385,plain,
mult(mult(i(mult(X_211,X_212)),X_211),X_212) = mult(mult(i(mult(X_211,X_212)),mult(X_211,X_212)),asoc(i(mult(X_211,X_212)),X_211,X_212)),
inference(subst,[],[c10:[bind(A,$fot(i(mult(X_211,X_212)))),bind(B,$fot(X_211)),bind(C,$fot(X_212))]]) ).
cnf(refute_0_386,plain,
mult(i(mult(X_211,X_212)),mult(X_211,X_212)) = unit,
inference(subst,[],[c04:[bind(A,$fot(mult(X_211,X_212)))]]) ).
cnf(refute_0_387,plain,
( mult(i(mult(X_211,X_212)),mult(X_211,X_212)) != unit
| mult(mult(i(mult(X_211,X_212)),X_211),X_212) != mult(mult(i(mult(X_211,X_212)),mult(X_211,X_212)),asoc(i(mult(X_211,X_212)),X_211,X_212))
| mult(mult(i(mult(X_211,X_212)),X_211),X_212) = mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(mult(X_211,X_212)),X_211),X_212),mult(mult(i(mult(X_211,X_212)),mult(X_211,X_212)),asoc(i(mult(X_211,X_212)),X_211,X_212))) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_388,plain,
( mult(mult(i(mult(X_211,X_212)),X_211),X_212) != mult(mult(i(mult(X_211,X_212)),mult(X_211,X_212)),asoc(i(mult(X_211,X_212)),X_211,X_212))
| mult(mult(i(mult(X_211,X_212)),X_211),X_212) = mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212)) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_211,X_212)),mult(X_211,X_212)),unit) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
mult(mult(i(mult(X_211,X_212)),X_211),X_212) = mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212)),
inference(resolve,[$cnf( $equal(mult(mult(i(mult(X_211,X_212)),X_211),X_212),mult(mult(i(mult(X_211,X_212)),mult(X_211,X_212)),asoc(i(mult(X_211,X_212)),X_211,X_212))) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
mult(i(mult(mult(A,B),i(A))),mult(i(A),mult(A,B))) = op_k(i(A),mult(A,B)),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(i(A))),bind(X_16,$fot(mult(A,B)))]]) ).
cnf(refute_0_391,plain,
( mult(i(A),mult(A,B)) != B
| mult(i(mult(mult(A,B),i(A))),mult(i(A),mult(A,B))) != op_k(i(A),mult(A,B))
| mult(i(mult(mult(A,B),i(A))),B) = op_k(i(A),mult(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(mult(A,B),i(A))),mult(i(A),mult(A,B))),op_k(i(A),mult(A,B))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_392,plain,
( mult(i(mult(mult(A,B),i(A))),mult(i(A),mult(A,B))) != op_k(i(A),mult(A,B))
| mult(i(mult(mult(A,B),i(A))),B) = op_k(i(A),mult(A,B)) ),
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,B)),B) )],[c06,refute_0_391]) ).
cnf(refute_0_393,plain,
mult(i(mult(mult(A,B),i(A))),B) = op_k(i(A),mult(A,B)),
inference(resolve,[$cnf( $equal(mult(i(mult(mult(A,B),i(A))),mult(i(A),mult(A,B))),op_k(i(A),mult(A,B))) )],[refute_0_390,refute_0_392]) ).
cnf(refute_0_394,plain,
mult(i(mult(mult(A,B),i(A))),B) = mult(i(mult(mult(A,B),i(A))),B),
introduced(tautology,[refl,[$fot(mult(i(mult(mult(A,B),i(A))),B))]]) ).
cnf(refute_0_395,plain,
( i(mult(mult(A,B),i(A))) != mult(i(mult(A,B)),A)
| mult(i(mult(mult(A,B),i(A))),B) != mult(i(mult(mult(A,B),i(A))),B)
| mult(i(mult(mult(A,B),i(A))),B) = mult(mult(i(mult(A,B)),A),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(mult(A,B),i(A))),B),mult(i(mult(mult(A,B),i(A))),B)) ),[1,0],$fot(mult(i(mult(A,B)),A))]]) ).
cnf(refute_0_396,plain,
( i(mult(mult(A,B),i(A))) != mult(i(mult(A,B)),A)
| mult(i(mult(mult(A,B),i(A))),B) = mult(mult(i(mult(A,B)),A),B) ),
inference(resolve,[$cnf( $equal(mult(i(mult(mult(A,B),i(A))),B),mult(i(mult(mult(A,B),i(A))),B)) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
mult(i(mult(mult(A,B),i(A))),B) = mult(mult(i(mult(A,B)),A),B),
inference(resolve,[$cnf( $equal(i(mult(mult(A,B),i(A))),mult(i(mult(A,B)),A)) )],[refute_0_344,refute_0_396]) ).
cnf(refute_0_398,plain,
( mult(i(mult(mult(A,B),i(A))),B) != mult(mult(i(mult(A,B)),A),B)
| mult(i(mult(mult(A,B),i(A))),B) != op_k(i(A),mult(A,B))
| mult(mult(i(mult(A,B)),A),B) = op_k(i(A),mult(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(mult(A,B),i(A))),B),op_k(i(A),mult(A,B))) ),[0],$fot(mult(mult(i(mult(A,B)),A),B))]]) ).
cnf(refute_0_399,plain,
( mult(i(mult(mult(A,B),i(A))),B) != op_k(i(A),mult(A,B))
| mult(mult(i(mult(A,B)),A),B) = op_k(i(A),mult(A,B)) ),
inference(resolve,[$cnf( $equal(mult(i(mult(mult(A,B),i(A))),B),mult(mult(i(mult(A,B)),A),B)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
mult(mult(i(mult(A,B)),A),B) = op_k(i(A),mult(A,B)),
inference(resolve,[$cnf( $equal(mult(i(mult(mult(A,B),i(A))),B),op_k(i(A),mult(A,B))) )],[refute_0_393,refute_0_399]) ).
cnf(refute_0_401,plain,
mult(mult(i(mult(X_211,X_212)),X_211),X_212) = op_k(i(X_211),mult(X_211,X_212)),
inference(subst,[],[refute_0_400:[bind(A,$fot(X_211)),bind(B,$fot(X_212))]]) ).
cnf(refute_0_402,plain,
( mult(mult(i(mult(X_211,X_212)),X_211),X_212) != mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))
| mult(mult(i(mult(X_211,X_212)),X_211),X_212) != op_k(i(X_211),mult(X_211,X_212))
| op_k(i(X_211),mult(X_211,X_212)) = mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(mult(X_211,X_212)),X_211),X_212),mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))) ),[0],$fot(op_k(i(X_211),mult(X_211,X_212)))]]) ).
cnf(refute_0_403,plain,
( mult(mult(i(mult(X_211,X_212)),X_211),X_212) != mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))
| op_k(i(X_211),mult(X_211,X_212)) = mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212)) ),
inference(resolve,[$cnf( $equal(mult(mult(i(mult(X_211,X_212)),X_211),X_212),op_k(i(X_211),mult(X_211,X_212))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212)) = asoc(i(mult(X_211,X_212)),X_211,X_212),
inference(subst,[],[c01:[bind(A,$fot(asoc(i(mult(X_211,X_212)),X_211,X_212)))]]) ).
cnf(refute_0_405,plain,
( mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212)) != asoc(i(mult(X_211,X_212)),X_211,X_212)
| op_k(i(X_211),mult(X_211,X_212)) != mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))
| op_k(i(X_211),mult(X_211,X_212)) = asoc(i(mult(X_211,X_212)),X_211,X_212) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(i(X_211),mult(X_211,X_212)),mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))) ),[1],$fot(asoc(i(mult(X_211,X_212)),X_211,X_212))]]) ).
cnf(refute_0_406,plain,
( op_k(i(X_211),mult(X_211,X_212)) != mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))
| op_k(i(X_211),mult(X_211,X_212)) = asoc(i(mult(X_211,X_212)),X_211,X_212) ),
inference(resolve,[$cnf( $equal(mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212)),asoc(i(mult(X_211,X_212)),X_211,X_212)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
( mult(mult(i(mult(X_211,X_212)),X_211),X_212) != mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))
| op_k(i(X_211),mult(X_211,X_212)) = asoc(i(mult(X_211,X_212)),X_211,X_212) ),
inference(resolve,[$cnf( $equal(op_k(i(X_211),mult(X_211,X_212)),mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
op_k(i(X_211),mult(X_211,X_212)) = asoc(i(mult(X_211,X_212)),X_211,X_212),
inference(resolve,[$cnf( $equal(mult(mult(i(mult(X_211,X_212)),X_211),X_212),mult(unit,asoc(i(mult(X_211,X_212)),X_211,X_212))) )],[refute_0_389,refute_0_407]) ).
cnf(refute_0_409,plain,
op_k(i(i(A)),mult(i(A),mult(A,B))) = asoc(i(mult(i(A),mult(A,B))),i(A),mult(A,B)),
inference(subst,[],[refute_0_408:[bind(X_211,$fot(i(A))),bind(X_212,$fot(mult(A,B)))]]) ).
cnf(refute_0_410,plain,
( mult(i(A),mult(A,B)) != B
| op_k(i(i(A)),mult(i(A),mult(A,B))) != asoc(i(mult(i(A),mult(A,B))),i(A),mult(A,B))
| op_k(i(i(A)),mult(i(A),mult(A,B))) = asoc(i(B),i(A),mult(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(i(i(A)),mult(i(A),mult(A,B))),asoc(i(mult(i(A),mult(A,B))),i(A),mult(A,B))) ),[1,0,0],$fot(B)]]) ).
cnf(refute_0_411,plain,
( op_k(i(i(A)),mult(i(A),mult(A,B))) != asoc(i(mult(i(A),mult(A,B))),i(A),mult(A,B))
| op_k(i(i(A)),mult(i(A),mult(A,B))) = asoc(i(B),i(A),mult(A,B)) ),
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,B)),B) )],[c06,refute_0_410]) ).
cnf(refute_0_412,plain,
op_k(i(i(A)),mult(i(A),mult(A,B))) = asoc(i(B),i(A),mult(A,B)),
inference(resolve,[$cnf( $equal(op_k(i(i(A)),mult(i(A),mult(A,B))),asoc(i(mult(i(A),mult(A,B))),i(A),mult(A,B))) )],[refute_0_409,refute_0_411]) ).
cnf(refute_0_413,plain,
i(mult(A,i(mult(A,B)))) = mult(i(A),mult(A,B)),
inference(subst,[],[refute_0_212:[bind(X_30,$fot(A)),bind(X_9,$fot(mult(A,B)))]]) ).
cnf(refute_0_414,plain,
( i(mult(A,i(mult(A,B)))) != mult(i(A),mult(A,B))
| mult(i(A),mult(A,B)) != B
| i(mult(A,i(mult(A,B)))) = B ),
inference(subst,[],[refute_0_167:[bind(X,$fot(i(mult(A,i(mult(A,B)))))),bind(Y,$fot(mult(i(A),mult(A,B)))),bind(Z,$fot(B))]]) ).
cnf(refute_0_415,plain,
( mult(i(A),mult(A,B)) != B
| i(mult(A,i(mult(A,B)))) = B ),
inference(resolve,[$cnf( $equal(i(mult(A,i(mult(A,B)))),mult(i(A),mult(A,B))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
i(mult(A,i(mult(A,B)))) = B,
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,B)),B) )],[c06,refute_0_415]) ).
cnf(refute_0_417,plain,
op_k(A,i(mult(A,i(mult(A,B))))) = op_k(A,i(mult(A,i(mult(A,B))))),
introduced(tautology,[refl,[$fot(op_k(A,i(mult(A,i(mult(A,B))))))]]) ).
cnf(refute_0_418,plain,
( i(mult(A,i(mult(A,B)))) != B
| op_k(A,i(mult(A,i(mult(A,B))))) != op_k(A,i(mult(A,i(mult(A,B)))))
| op_k(A,i(mult(A,i(mult(A,B))))) = op_k(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(A,i(mult(A,i(mult(A,B))))),op_k(A,i(mult(A,i(mult(A,B)))))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_419,plain,
( i(mult(A,i(mult(A,B)))) != B
| op_k(A,i(mult(A,i(mult(A,B))))) = op_k(A,B) ),
inference(resolve,[$cnf( $equal(op_k(A,i(mult(A,i(mult(A,B))))),op_k(A,i(mult(A,i(mult(A,B)))))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
op_k(A,i(mult(A,i(mult(A,B))))) = op_k(A,B),
inference(resolve,[$cnf( $equal(i(mult(A,i(mult(A,B)))),B) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
i(op_k(i(A),mult(A,i(mult(A,B))))) = op_k(A,i(mult(A,i(mult(A,B))))),
inference(subst,[],[refute_0_206:[bind(X_106,$fot(mult(A,i(mult(A,B))))),bind(X_9,$fot(A))]]) ).
cnf(refute_0_422,plain,
mult(i(mult(i(B),i(A))),mult(i(A),i(B))) = op_k(i(A),i(B)),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(i(A))),bind(X_16,$fot(i(B)))]]) ).
cnf(refute_0_423,plain,
( i(mult(A,B)) != mult(i(A),i(B))
| mult(i(A),i(B)) = i(mult(A,B)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i(mult(A,B)))),bind(Y,$fot(mult(i(A),i(B))))]]) ).
cnf(refute_0_424,plain,
mult(i(A),i(B)) = i(mult(A,B)),
inference(resolve,[$cnf( $equal(i(mult(A,B)),mult(i(A),i(B))) )],[c05,refute_0_423]) ).
cnf(refute_0_425,plain,
( mult(i(A),i(B)) != i(mult(A,B))
| mult(i(mult(i(B),i(A))),mult(i(A),i(B))) != op_k(i(A),i(B))
| mult(i(mult(i(B),i(A))),i(mult(A,B))) = op_k(i(A),i(B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(i(B),i(A))),mult(i(A),i(B))),op_k(i(A),i(B))) ),[0,1],$fot(i(mult(A,B)))]]) ).
cnf(refute_0_426,plain,
( mult(i(mult(i(B),i(A))),mult(i(A),i(B))) != op_k(i(A),i(B))
| mult(i(mult(i(B),i(A))),i(mult(A,B))) = op_k(i(A),i(B)) ),
inference(resolve,[$cnf( $equal(mult(i(A),i(B)),i(mult(A,B))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
mult(i(mult(i(B),i(A))),i(mult(A,B))) = op_k(i(A),i(B)),
inference(resolve,[$cnf( $equal(mult(i(mult(i(B),i(A))),mult(i(A),i(B))),op_k(i(A),i(B))) )],[refute_0_422,refute_0_426]) ).
cnf(refute_0_428,plain,
mult(i(mult(B,A)),mult(A,B)) = op_k(A,B),
inference(subst,[],[refute_0_130:[bind(X_15,$fot(A)),bind(X_16,$fot(B))]]) ).
cnf(refute_0_429,plain,
mult(i(B),i(A)) = i(mult(B,A)),
inference(subst,[],[refute_0_424:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_430,plain,
mult(mult(i(B),i(A)),mult(A,B)) = mult(mult(i(B),i(A)),mult(A,B)),
introduced(tautology,[refl,[$fot(mult(mult(i(B),i(A)),mult(A,B)))]]) ).
cnf(refute_0_431,plain,
( mult(i(B),i(A)) != i(mult(B,A))
| mult(mult(i(B),i(A)),mult(A,B)) != mult(mult(i(B),i(A)),mult(A,B))
| mult(mult(i(B),i(A)),mult(A,B)) = mult(i(mult(B,A)),mult(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(B),i(A)),mult(A,B)),mult(mult(i(B),i(A)),mult(A,B))) ),[1,0],$fot(i(mult(B,A)))]]) ).
cnf(refute_0_432,plain,
( mult(i(B),i(A)) != i(mult(B,A))
| mult(mult(i(B),i(A)),mult(A,B)) = mult(i(mult(B,A)),mult(A,B)) ),
inference(resolve,[$cnf( $equal(mult(mult(i(B),i(A)),mult(A,B)),mult(mult(i(B),i(A)),mult(A,B))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
mult(mult(i(B),i(A)),mult(A,B)) = mult(i(mult(B,A)),mult(A,B)),
inference(resolve,[$cnf( $equal(mult(i(B),i(A)),i(mult(B,A))) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
( mult(i(mult(B,A)),mult(A,B)) != op_k(A,B)
| mult(mult(i(B),i(A)),mult(A,B)) != mult(i(mult(B,A)),mult(A,B))
| mult(mult(i(B),i(A)),mult(A,B)) = op_k(A,B) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(mult(i(B),i(A)),mult(A,B)))),bind(Y,$fot(mult(i(mult(B,A)),mult(A,B)))),bind(Z,$fot(op_k(A,B)))]]) ).
cnf(refute_0_435,plain,
( mult(i(mult(B,A)),mult(A,B)) != op_k(A,B)
| mult(mult(i(B),i(A)),mult(A,B)) = op_k(A,B) ),
inference(resolve,[$cnf( $equal(mult(mult(i(B),i(A)),mult(A,B)),mult(i(mult(B,A)),mult(A,B))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
mult(mult(i(B),i(A)),mult(A,B)) = op_k(A,B),
inference(resolve,[$cnf( $equal(mult(i(mult(B,A)),mult(A,B)),op_k(A,B)) )],[refute_0_428,refute_0_435]) ).
cnf(refute_0_437,plain,
i(mult(mult(i(B),i(A)),mult(A,B))) = i(mult(mult(i(B),i(A)),mult(A,B))),
introduced(tautology,[refl,[$fot(i(mult(mult(i(B),i(A)),mult(A,B))))]]) ).
cnf(refute_0_438,plain,
( i(mult(mult(i(B),i(A)),mult(A,B))) != i(mult(mult(i(B),i(A)),mult(A,B)))
| mult(mult(i(B),i(A)),mult(A,B)) != op_k(A,B)
| i(mult(mult(i(B),i(A)),mult(A,B))) = i(op_k(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(i(B),i(A)),mult(A,B))),i(mult(mult(i(B),i(A)),mult(A,B)))) ),[1,0],$fot(op_k(A,B))]]) ).
cnf(refute_0_439,plain,
( mult(mult(i(B),i(A)),mult(A,B)) != op_k(A,B)
| i(mult(mult(i(B),i(A)),mult(A,B))) = i(op_k(A,B)) ),
inference(resolve,[$cnf( $equal(i(mult(mult(i(B),i(A)),mult(A,B))),i(mult(mult(i(B),i(A)),mult(A,B)))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
i(mult(mult(i(B),i(A)),mult(A,B))) = i(op_k(A,B)),
inference(resolve,[$cnf( $equal(mult(mult(i(B),i(A)),mult(A,B)),op_k(A,B)) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
mult(i(mult(i(B),i(A))),i(mult(A,B))) = i(mult(mult(i(B),i(A)),mult(A,B))),
inference(subst,[],[refute_0_424:[bind(A,$fot(mult(i(B),i(A)))),bind(B,$fot(mult(A,B)))]]) ).
cnf(refute_0_442,plain,
( i(mult(mult(i(B),i(A)),mult(A,B))) != i(op_k(A,B))
| mult(i(mult(i(B),i(A))),i(mult(A,B))) != i(mult(mult(i(B),i(A)),mult(A,B)))
| mult(i(mult(i(B),i(A))),i(mult(A,B))) = i(op_k(A,B)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(i(mult(i(B),i(A))),i(mult(A,B))))),bind(Y,$fot(i(mult(mult(i(B),i(A)),mult(A,B))))),bind(Z,$fot(i(op_k(A,B))))]]) ).
cnf(refute_0_443,plain,
( i(mult(mult(i(B),i(A)),mult(A,B))) != i(op_k(A,B))
| mult(i(mult(i(B),i(A))),i(mult(A,B))) = i(op_k(A,B)) ),
inference(resolve,[$cnf( $equal(mult(i(mult(i(B),i(A))),i(mult(A,B))),i(mult(mult(i(B),i(A)),mult(A,B)))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
mult(i(mult(i(B),i(A))),i(mult(A,B))) = i(op_k(A,B)),
inference(resolve,[$cnf( $equal(i(mult(mult(i(B),i(A)),mult(A,B))),i(op_k(A,B))) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
( mult(i(mult(i(B),i(A))),i(mult(A,B))) != i(op_k(A,B))
| mult(i(mult(i(B),i(A))),i(mult(A,B))) != op_k(i(A),i(B))
| i(op_k(A,B)) = op_k(i(A),i(B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(i(B),i(A))),i(mult(A,B))),op_k(i(A),i(B))) ),[0],$fot(i(op_k(A,B)))]]) ).
cnf(refute_0_446,plain,
( mult(i(mult(i(B),i(A))),i(mult(A,B))) != op_k(i(A),i(B))
| i(op_k(A,B)) = op_k(i(A),i(B)) ),
inference(resolve,[$cnf( $equal(mult(i(mult(i(B),i(A))),i(mult(A,B))),i(op_k(A,B))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
i(op_k(A,B)) = op_k(i(A),i(B)),
inference(resolve,[$cnf( $equal(mult(i(mult(i(B),i(A))),i(mult(A,B))),op_k(i(A),i(B))) )],[refute_0_427,refute_0_446]) ).
cnf(refute_0_448,plain,
i(op_k(X_152,mult(X_30,i(X_9)))) = op_k(i(X_152),i(mult(X_30,i(X_9)))),
inference(subst,[],[refute_0_447:[bind(A,$fot(X_152)),bind(B,$fot(mult(X_30,i(X_9))))]]) ).
cnf(refute_0_449,plain,
( i(mult(X_30,i(X_9))) != mult(i(X_30),X_9)
| i(op_k(X_152,mult(X_30,i(X_9)))) != op_k(i(X_152),i(mult(X_30,i(X_9))))
| i(op_k(X_152,mult(X_30,i(X_9)))) = op_k(i(X_152),mult(i(X_30),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(X_152,mult(X_30,i(X_9)))),op_k(i(X_152),i(mult(X_30,i(X_9))))) ),[1,1],$fot(mult(i(X_30),X_9))]]) ).
cnf(refute_0_450,plain,
( i(op_k(X_152,mult(X_30,i(X_9)))) != op_k(i(X_152),i(mult(X_30,i(X_9))))
| i(op_k(X_152,mult(X_30,i(X_9)))) = op_k(i(X_152),mult(i(X_30),X_9)) ),
inference(resolve,[$cnf( $equal(i(mult(X_30,i(X_9))),mult(i(X_30),X_9)) )],[refute_0_212,refute_0_449]) ).
cnf(refute_0_451,plain,
i(op_k(X_152,mult(X_30,i(X_9)))) = op_k(i(X_152),mult(i(X_30),X_9)),
inference(resolve,[$cnf( $equal(i(op_k(X_152,mult(X_30,i(X_9)))),op_k(i(X_152),i(mult(X_30,i(X_9))))) )],[refute_0_448,refute_0_450]) ).
cnf(refute_0_452,plain,
( i(op_k(X_152,mult(X_30,i(X_9)))) != op_k(i(X_152),mult(i(X_30),X_9))
| op_k(i(X_152),mult(i(X_30),X_9)) = i(op_k(X_152,mult(X_30,i(X_9)))) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i(op_k(X_152,mult(X_30,i(X_9)))))),bind(Y,$fot(op_k(i(X_152),mult(i(X_30),X_9))))]]) ).
cnf(refute_0_453,plain,
op_k(i(X_152),mult(i(X_30),X_9)) = i(op_k(X_152,mult(X_30,i(X_9)))),
inference(resolve,[$cnf( $equal(i(op_k(X_152,mult(X_30,i(X_9)))),op_k(i(X_152),mult(i(X_30),X_9))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
op_k(i(i(A)),mult(i(A),mult(A,B))) = i(op_k(i(A),mult(A,i(mult(A,B))))),
inference(subst,[],[refute_0_453:[bind(X_152,$fot(i(A))),bind(X_30,$fot(A)),bind(X_9,$fot(mult(A,B)))]]) ).
cnf(refute_0_455,plain,
( i(op_k(i(A),mult(A,i(mult(A,B))))) != op_k(A,i(mult(A,i(mult(A,B)))))
| op_k(i(i(A)),mult(i(A),mult(A,B))) != i(op_k(i(A),mult(A,i(mult(A,B)))))
| op_k(i(i(A)),mult(i(A),mult(A,B))) = op_k(A,i(mult(A,i(mult(A,B))))) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(op_k(i(i(A)),mult(i(A),mult(A,B))))),bind(Y,$fot(i(op_k(i(A),mult(A,i(mult(A,B))))))),bind(Z,$fot(op_k(A,i(mult(A,i(mult(A,B)))))))]]) ).
cnf(refute_0_456,plain,
( i(op_k(i(A),mult(A,i(mult(A,B))))) != op_k(A,i(mult(A,i(mult(A,B)))))
| op_k(i(i(A)),mult(i(A),mult(A,B))) = op_k(A,i(mult(A,i(mult(A,B))))) ),
inference(resolve,[$cnf( $equal(op_k(i(i(A)),mult(i(A),mult(A,B))),i(op_k(i(A),mult(A,i(mult(A,B)))))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
op_k(i(i(A)),mult(i(A),mult(A,B))) = op_k(A,i(mult(A,i(mult(A,B))))),
inference(resolve,[$cnf( $equal(i(op_k(i(A),mult(A,i(mult(A,B))))),op_k(A,i(mult(A,i(mult(A,B)))))) )],[refute_0_421,refute_0_456]) ).
cnf(refute_0_458,plain,
( op_k(A,i(mult(A,i(mult(A,B))))) != op_k(A,B)
| op_k(i(i(A)),mult(i(A),mult(A,B))) != op_k(A,i(mult(A,i(mult(A,B)))))
| op_k(i(i(A)),mult(i(A),mult(A,B))) = op_k(A,B) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(op_k(i(i(A)),mult(i(A),mult(A,B))))),bind(Y,$fot(op_k(A,i(mult(A,i(mult(A,B))))))),bind(Z,$fot(op_k(A,B)))]]) ).
cnf(refute_0_459,plain,
( op_k(A,i(mult(A,i(mult(A,B))))) != op_k(A,B)
| op_k(i(i(A)),mult(i(A),mult(A,B))) = op_k(A,B) ),
inference(resolve,[$cnf( $equal(op_k(i(i(A)),mult(i(A),mult(A,B))),op_k(A,i(mult(A,i(mult(A,B)))))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
op_k(i(i(A)),mult(i(A),mult(A,B))) = op_k(A,B),
inference(resolve,[$cnf( $equal(op_k(A,i(mult(A,i(mult(A,B))))),op_k(A,B)) )],[refute_0_420,refute_0_459]) ).
cnf(refute_0_461,plain,
( op_k(i(i(A)),mult(i(A),mult(A,B))) != asoc(i(B),i(A),mult(A,B))
| op_k(i(i(A)),mult(i(A),mult(A,B))) != op_k(A,B)
| op_k(A,B) = asoc(i(B),i(A),mult(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(i(i(A)),mult(i(A),mult(A,B))),asoc(i(B),i(A),mult(A,B))) ),[0],$fot(op_k(A,B))]]) ).
cnf(refute_0_462,plain,
( op_k(i(i(A)),mult(i(A),mult(A,B))) != asoc(i(B),i(A),mult(A,B))
| op_k(A,B) = asoc(i(B),i(A),mult(A,B)) ),
inference(resolve,[$cnf( $equal(op_k(i(i(A)),mult(i(A),mult(A,B))),op_k(A,B)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
op_k(A,B) = asoc(i(B),i(A),mult(A,B)),
inference(resolve,[$cnf( $equal(op_k(i(i(A)),mult(i(A),mult(A,B))),asoc(i(B),i(A),mult(A,B))) )],[refute_0_412,refute_0_462]) ).
cnf(refute_0_464,plain,
op_k(mult(i(mult(A,X_490)),A),X_490) = asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),mult(mult(i(mult(A,X_490)),A),X_490)),
inference(subst,[],[refute_0_463:[bind(A,$fot(mult(i(mult(A,X_490)),A))),bind(B,$fot(X_490))]]) ).
cnf(refute_0_465,plain,
mult(mult(i(mult(A,X_490)),A),X_490) = op_k(i(A),mult(A,X_490)),
inference(subst,[],[refute_0_400:[bind(B,$fot(X_490))]]) ).
cnf(refute_0_466,plain,
( mult(mult(i(mult(A,X_490)),A),X_490) != op_k(i(A),mult(A,X_490))
| op_k(mult(i(mult(A,X_490)),A),X_490) != asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),mult(mult(i(mult(A,X_490)),A),X_490))
| op_k(mult(i(mult(A,X_490)),A),X_490) = asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490))) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(mult(i(mult(A,X_490)),A),X_490),asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),mult(mult(i(mult(A,X_490)),A),X_490))) ),[1,2],$fot(op_k(i(A),mult(A,X_490)))]]) ).
cnf(refute_0_467,plain,
( op_k(mult(i(mult(A,X_490)),A),X_490) != asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),mult(mult(i(mult(A,X_490)),A),X_490))
| op_k(mult(i(mult(A,X_490)),A),X_490) = asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(mult(A,X_490)),A),X_490),op_k(i(A),mult(A,X_490))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
op_k(mult(i(mult(A,X_490)),A),X_490) = asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490))),
inference(resolve,[$cnf( $equal(op_k(mult(i(mult(A,X_490)),A),X_490),asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),mult(mult(i(mult(A,X_490)),A),X_490))) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
asoc(A,B,asoc(i(X_490),i(X_489),mult(X_489,X_490))) = unit,
inference(subst,[],[c22:[bind(C,$fot(i(X_490))),bind(D,$fot(i(X_489))),bind(E,$fot(mult(X_489,X_490)))]]) ).
cnf(refute_0_470,plain,
op_k(X_489,X_490) = asoc(i(X_490),i(X_489),mult(X_489,X_490)),
inference(subst,[],[refute_0_463:[bind(A,$fot(X_489)),bind(B,$fot(X_490))]]) ).
cnf(refute_0_471,plain,
( op_k(X_489,X_490) != asoc(i(X_490),i(X_489),mult(X_489,X_490))
| asoc(i(X_490),i(X_489),mult(X_489,X_490)) = op_k(X_489,X_490) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_k(X_489,X_490))),bind(Y,$fot(asoc(i(X_490),i(X_489),mult(X_489,X_490))))]]) ).
cnf(refute_0_472,plain,
asoc(i(X_490),i(X_489),mult(X_489,X_490)) = op_k(X_489,X_490),
inference(resolve,[$cnf( $equal(op_k(X_489,X_490),asoc(i(X_490),i(X_489),mult(X_489,X_490))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
( asoc(A,B,asoc(i(X_490),i(X_489),mult(X_489,X_490))) != unit
| asoc(i(X_490),i(X_489),mult(X_489,X_490)) != op_k(X_489,X_490)
| asoc(A,B,op_k(X_489,X_490)) = unit ),
introduced(tautology,[equality,[$cnf( $equal(asoc(A,B,asoc(i(X_490),i(X_489),mult(X_489,X_490))),unit) ),[0,2],$fot(op_k(X_489,X_490))]]) ).
cnf(refute_0_474,plain,
( asoc(A,B,asoc(i(X_490),i(X_489),mult(X_489,X_490))) != unit
| asoc(A,B,op_k(X_489,X_490)) = unit ),
inference(resolve,[$cnf( $equal(asoc(i(X_490),i(X_489),mult(X_489,X_490)),op_k(X_489,X_490)) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
asoc(A,B,op_k(X_489,X_490)) = unit,
inference(resolve,[$cnf( $equal(asoc(A,B,asoc(i(X_490),i(X_489),mult(X_489,X_490))),unit) )],[refute_0_469,refute_0_474]) ).
cnf(refute_0_476,plain,
asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490))) = unit,
inference(subst,[],[refute_0_475:[bind(A,$fot(i(X_490))),bind(B,$fot(i(mult(i(mult(A,X_490)),A)))),bind(X_489,$fot(i(A))),bind(X_490,$fot(mult(A,X_490)))]]) ).
cnf(refute_0_477,plain,
( asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490))) != unit
| op_k(mult(i(mult(A,X_490)),A),X_490) != asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490)))
| op_k(mult(i(mult(A,X_490)),A),X_490) = unit ),
introduced(tautology,[equality,[$cnf( $equal(op_k(mult(i(mult(A,X_490)),A),X_490),asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490)))) ),[1],$fot(unit)]]) ).
cnf(refute_0_478,plain,
( op_k(mult(i(mult(A,X_490)),A),X_490) != asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490)))
| op_k(mult(i(mult(A,X_490)),A),X_490) = unit ),
inference(resolve,[$cnf( $equal(asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490))),unit) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
op_k(mult(i(mult(A,X_490)),A),X_490) = unit,
inference(resolve,[$cnf( $equal(op_k(mult(i(mult(A,X_490)),A),X_490),asoc(i(X_490),i(mult(i(mult(A,X_490)),A)),op_k(i(A),mult(A,X_490)))) )],[refute_0_468,refute_0_478]) ).
cnf(refute_0_480,plain,
op_k(mult(i(mult(X_200,X_50)),X_200),X_50) = unit,
inference(subst,[],[refute_0_479:[bind(A,$fot(X_200)),bind(X_490,$fot(X_50))]]) ).
cnf(refute_0_481,plain,
mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) = mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))),
introduced(tautology,[refl,[$fot(mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))))]]) ).
cnf(refute_0_482,plain,
( mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) != mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50))))
| op_k(mult(i(mult(X_200,X_50)),X_200),X_50) != unit
| mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) = mult(unit,op_k(X_200,i(mult(X_200,X_50)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))),mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50))))) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_483,plain,
( op_k(mult(i(mult(X_200,X_50)),X_200),X_50) != unit
| mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) = mult(unit,op_k(X_200,i(mult(X_200,X_50)))) ),
inference(resolve,[$cnf( $equal(mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))),mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50))))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) = mult(unit,op_k(X_200,i(mult(X_200,X_50)))),
inference(resolve,[$cnf( $equal(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),unit) )],[refute_0_480,refute_0_483]) ).
cnf(refute_0_485,plain,
( mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) != mult(unit,op_k(X_200,i(mult(X_200,X_50))))
| mult(unit,op_k(X_200,i(mult(X_200,X_50)))) != op_k(X_200,i(mult(X_200,X_50)))
| mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) = op_k(X_200,i(mult(X_200,X_50))) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))))),bind(Y,$fot(mult(unit,op_k(X_200,i(mult(X_200,X_50)))))),bind(Z,$fot(op_k(X_200,i(mult(X_200,X_50)))))]]) ).
cnf(refute_0_486,plain,
( mult(unit,op_k(X_200,i(mult(X_200,X_50)))) != op_k(X_200,i(mult(X_200,X_50)))
| mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) = op_k(X_200,i(mult(X_200,X_50))) ),
inference(resolve,[$cnf( $equal(mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))),mult(unit,op_k(X_200,i(mult(X_200,X_50))))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) = op_k(X_200,i(mult(X_200,X_50))),
inference(resolve,[$cnf( $equal(mult(unit,op_k(X_200,i(mult(X_200,X_50)))),op_k(X_200,i(mult(X_200,X_50)))) )],[refute_0_384,refute_0_486]) ).
cnf(refute_0_488,plain,
rd(mult(i(X_37),mult(X_36,X_37)),mult(X_36,X_37)) = i(X_37),
inference(subst,[],[c07:[bind(A,$fot(i(X_37))),bind(B,$fot(mult(X_36,X_37)))]]) ).
cnf(refute_0_489,plain,
op_t(X_36,X_37) = mult(i(X_37),mult(X_36,X_37)),
inference(subst,[],[c14:[bind(A,$fot(X_36)),bind(B,$fot(X_37))]]) ).
cnf(refute_0_490,plain,
( op_t(X_36,X_37) != mult(i(X_37),mult(X_36,X_37))
| mult(i(X_37),mult(X_36,X_37)) = op_t(X_36,X_37) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_t(X_36,X_37))),bind(Y,$fot(mult(i(X_37),mult(X_36,X_37))))]]) ).
cnf(refute_0_491,plain,
mult(i(X_37),mult(X_36,X_37)) = op_t(X_36,X_37),
inference(resolve,[$cnf( $equal(op_t(X_36,X_37),mult(i(X_37),mult(X_36,X_37))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
( mult(i(X_37),mult(X_36,X_37)) != op_t(X_36,X_37)
| rd(mult(i(X_37),mult(X_36,X_37)),mult(X_36,X_37)) != i(X_37)
| rd(op_t(X_36,X_37),mult(X_36,X_37)) = i(X_37) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(X_37),mult(X_36,X_37)),mult(X_36,X_37)),i(X_37)) ),[0,0],$fot(op_t(X_36,X_37))]]) ).
cnf(refute_0_493,plain,
( rd(mult(i(X_37),mult(X_36,X_37)),mult(X_36,X_37)) != i(X_37)
| rd(op_t(X_36,X_37),mult(X_36,X_37)) = i(X_37) ),
inference(resolve,[$cnf( $equal(mult(i(X_37),mult(X_36,X_37)),op_t(X_36,X_37)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
rd(op_t(X_36,X_37),mult(X_36,X_37)) = i(X_37),
inference(resolve,[$cnf( $equal(rd(mult(i(X_37),mult(X_36,X_37)),mult(X_36,X_37)),i(X_37)) )],[refute_0_488,refute_0_493]) ).
cnf(refute_0_495,plain,
rd(op_t(X_183,mult(i(X_183),B)),mult(X_183,mult(i(X_183),B))) = i(mult(i(X_183),B)),
inference(subst,[],[refute_0_494:[bind(X_36,$fot(X_183)),bind(X_37,$fot(mult(i(X_183),B)))]]) ).
cnf(refute_0_496,plain,
op_t(X_36,mult(i(X_36),B)) = mult(i(mult(i(X_36),B)),mult(X_36,mult(i(X_36),B))),
inference(subst,[],[c14:[bind(A,$fot(X_36)),bind(B,$fot(mult(i(X_36),B)))]]) ).
cnf(refute_0_497,plain,
mult(X_36,mult(i(X_36),B)) = B,
inference(subst,[],[refute_0_100:[bind(X_11,$fot(X_36))]]) ).
cnf(refute_0_498,plain,
( mult(X_36,mult(i(X_36),B)) != B
| op_t(X_36,mult(i(X_36),B)) != mult(i(mult(i(X_36),B)),mult(X_36,mult(i(X_36),B)))
| op_t(X_36,mult(i(X_36),B)) = mult(i(mult(i(X_36),B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_36,mult(i(X_36),B)),mult(i(mult(i(X_36),B)),mult(X_36,mult(i(X_36),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_499,plain,
( op_t(X_36,mult(i(X_36),B)) != mult(i(mult(i(X_36),B)),mult(X_36,mult(i(X_36),B)))
| op_t(X_36,mult(i(X_36),B)) = mult(i(mult(i(X_36),B)),B) ),
inference(resolve,[$cnf( $equal(mult(X_36,mult(i(X_36),B)),B) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
op_t(X_36,mult(i(X_36),B)) = mult(i(mult(i(X_36),B)),B),
inference(resolve,[$cnf( $equal(op_t(X_36,mult(i(X_36),B)),mult(i(mult(i(X_36),B)),mult(X_36,mult(i(X_36),B)))) )],[refute_0_496,refute_0_499]) ).
cnf(refute_0_501,plain,
i(mult(i(X_36),B)) = mult(X_36,i(B)),
inference(subst,[],[refute_0_158:[bind(X_31,$fot(B)),bind(X_9,$fot(X_36))]]) ).
cnf(refute_0_502,plain,
mult(i(mult(i(X_36),B)),B) = mult(i(mult(i(X_36),B)),B),
introduced(tautology,[refl,[$fot(mult(i(mult(i(X_36),B)),B))]]) ).
cnf(refute_0_503,plain,
( i(mult(i(X_36),B)) != mult(X_36,i(B))
| mult(i(mult(i(X_36),B)),B) != mult(i(mult(i(X_36),B)),B)
| mult(i(mult(i(X_36),B)),B) = mult(mult(X_36,i(B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(i(X_36),B)),B),mult(i(mult(i(X_36),B)),B)) ),[1,0],$fot(mult(X_36,i(B)))]]) ).
cnf(refute_0_504,plain,
( i(mult(i(X_36),B)) != mult(X_36,i(B))
| mult(i(mult(i(X_36),B)),B) = mult(mult(X_36,i(B)),B) ),
inference(resolve,[$cnf( $equal(mult(i(mult(i(X_36),B)),B),mult(i(mult(i(X_36),B)),B)) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
mult(i(mult(i(X_36),B)),B) = mult(mult(X_36,i(B)),B),
inference(resolve,[$cnf( $equal(i(mult(i(X_36),B)),mult(X_36,i(B))) )],[refute_0_501,refute_0_504]) ).
cnf(refute_0_506,plain,
( mult(i(mult(i(X_36),B)),B) != mult(mult(X_36,i(B)),B)
| op_t(X_36,mult(i(X_36),B)) != mult(i(mult(i(X_36),B)),B)
| op_t(X_36,mult(i(X_36),B)) = mult(mult(X_36,i(B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_36,mult(i(X_36),B)),mult(i(mult(i(X_36),B)),B)) ),[1],$fot(mult(mult(X_36,i(B)),B))]]) ).
cnf(refute_0_507,plain,
( op_t(X_36,mult(i(X_36),B)) != mult(i(mult(i(X_36),B)),B)
| op_t(X_36,mult(i(X_36),B)) = mult(mult(X_36,i(B)),B) ),
inference(resolve,[$cnf( $equal(mult(i(mult(i(X_36),B)),B),mult(mult(X_36,i(B)),B)) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
op_t(X_36,mult(i(X_36),B)) = mult(mult(X_36,i(B)),B),
inference(resolve,[$cnf( $equal(op_t(X_36,mult(i(X_36),B)),mult(i(mult(i(X_36),B)),B)) )],[refute_0_500,refute_0_507]) ).
cnf(refute_0_509,plain,
op_r(X_88,i(X_90),X_90) = rd(mult(mult(X_88,i(X_90)),X_90),mult(i(X_90),X_90)),
inference(subst,[],[c13:[bind(A,$fot(X_88)),bind(B,$fot(i(X_90))),bind(C,$fot(X_90))]]) ).
cnf(refute_0_510,plain,
mult(i(X_90),X_90) = unit,
inference(subst,[],[c04:[bind(A,$fot(X_90))]]) ).
cnf(refute_0_511,plain,
( mult(i(X_90),X_90) != unit
| op_r(X_88,i(X_90),X_90) != rd(mult(mult(X_88,i(X_90)),X_90),mult(i(X_90),X_90))
| op_r(X_88,i(X_90),X_90) = rd(mult(mult(X_88,i(X_90)),X_90),unit) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_88,i(X_90),X_90),rd(mult(mult(X_88,i(X_90)),X_90),mult(i(X_90),X_90))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_512,plain,
( op_r(X_88,i(X_90),X_90) != rd(mult(mult(X_88,i(X_90)),X_90),mult(i(X_90),X_90))
| op_r(X_88,i(X_90),X_90) = rd(mult(mult(X_88,i(X_90)),X_90),unit) ),
inference(resolve,[$cnf( $equal(mult(i(X_90),X_90),unit) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
op_r(X_88,i(X_90),X_90) = rd(mult(mult(X_88,i(X_90)),X_90),unit),
inference(resolve,[$cnf( $equal(op_r(X_88,i(X_90),X_90),rd(mult(mult(X_88,i(X_90)),X_90),mult(i(X_90),X_90))) )],[refute_0_509,refute_0_512]) ).
cnf(refute_0_514,plain,
mult(rd(X_6,unit),unit) = rd(X_6,unit),
inference(subst,[],[c02:[bind(A,$fot(rd(X_6,unit)))]]) ).
cnf(refute_0_515,plain,
mult(rd(X_6,unit),unit) = X_6,
inference(subst,[],[c08:[bind(A,$fot(X_6)),bind(B,$fot(unit))]]) ).
cnf(refute_0_516,plain,
( mult(rd(X_6,unit),unit) != X_6
| mult(rd(X_6,unit),unit) != rd(X_6,unit)
| X_6 = rd(X_6,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_6,unit),unit),rd(X_6,unit)) ),[0],$fot(X_6)]]) ).
cnf(refute_0_517,plain,
( mult(rd(X_6,unit),unit) != rd(X_6,unit)
| X_6 = rd(X_6,unit) ),
inference(resolve,[$cnf( $equal(mult(rd(X_6,unit),unit),X_6) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
X_6 = rd(X_6,unit),
inference(resolve,[$cnf( $equal(mult(rd(X_6,unit),unit),rd(X_6,unit)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
( X_6 != rd(X_6,unit)
| rd(X_6,unit) = X_6 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_6)),bind(Y,$fot(rd(X_6,unit)))]]) ).
cnf(refute_0_520,plain,
rd(X_6,unit) = X_6,
inference(resolve,[$cnf( $equal(X_6,rd(X_6,unit)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
rd(mult(mult(X_88,i(X_90)),X_90),unit) = mult(mult(X_88,i(X_90)),X_90),
inference(subst,[],[refute_0_520:[bind(X_6,$fot(mult(mult(X_88,i(X_90)),X_90)))]]) ).
cnf(refute_0_522,plain,
( op_r(X_88,i(X_90),X_90) != rd(mult(mult(X_88,i(X_90)),X_90),unit)
| rd(mult(mult(X_88,i(X_90)),X_90),unit) != mult(mult(X_88,i(X_90)),X_90)
| op_r(X_88,i(X_90),X_90) = mult(mult(X_88,i(X_90)),X_90) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op_r(X_88,i(X_90),X_90),mult(mult(X_88,i(X_90)),X_90)) ),[0],$fot(rd(mult(mult(X_88,i(X_90)),X_90),unit))]]) ).
cnf(refute_0_523,plain,
( op_r(X_88,i(X_90),X_90) != rd(mult(mult(X_88,i(X_90)),X_90),unit)
| op_r(X_88,i(X_90),X_90) = mult(mult(X_88,i(X_90)),X_90) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_88,i(X_90)),X_90),unit),mult(mult(X_88,i(X_90)),X_90)) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
op_r(X_88,i(X_90),X_90) = mult(mult(X_88,i(X_90)),X_90),
inference(resolve,[$cnf( $equal(op_r(X_88,i(X_90),X_90),rd(mult(mult(X_88,i(X_90)),X_90),unit)) )],[refute_0_513,refute_0_523]) ).
cnf(refute_0_525,plain,
( op_r(X_88,i(X_90),X_90) != mult(mult(X_88,i(X_90)),X_90)
| mult(mult(X_88,i(X_90)),X_90) = op_r(X_88,i(X_90),X_90) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_r(X_88,i(X_90),X_90))),bind(Y,$fot(mult(mult(X_88,i(X_90)),X_90)))]]) ).
cnf(refute_0_526,plain,
mult(mult(X_88,i(X_90)),X_90) = op_r(X_88,i(X_90),X_90),
inference(resolve,[$cnf( $equal(op_r(X_88,i(X_90),X_90),mult(mult(X_88,i(X_90)),X_90)) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
mult(mult(X_36,i(B)),B) = op_r(X_36,i(B),B),
inference(subst,[],[refute_0_526:[bind(X_88,$fot(X_36)),bind(X_90,$fot(B))]]) ).
cnf(refute_0_528,plain,
( mult(mult(X_36,i(B)),B) != op_r(X_36,i(B),B)
| op_t(X_36,mult(i(X_36),B)) != mult(mult(X_36,i(B)),B)
| op_t(X_36,mult(i(X_36),B)) = op_r(X_36,i(B),B) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_36,mult(i(X_36),B)),mult(mult(X_36,i(B)),B)) ),[1],$fot(op_r(X_36,i(B),B))]]) ).
cnf(refute_0_529,plain,
( op_t(X_36,mult(i(X_36),B)) != mult(mult(X_36,i(B)),B)
| op_t(X_36,mult(i(X_36),B)) = op_r(X_36,i(B),B) ),
inference(resolve,[$cnf( $equal(mult(mult(X_36,i(B)),B),op_r(X_36,i(B),B)) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
op_t(X_36,mult(i(X_36),B)) = op_r(X_36,i(B),B),
inference(resolve,[$cnf( $equal(op_t(X_36,mult(i(X_36),B)),mult(mult(X_36,i(B)),B)) )],[refute_0_508,refute_0_529]) ).
cnf(refute_0_531,plain,
op_t(X_183,mult(i(X_183),B)) = op_r(X_183,i(B),B),
inference(subst,[],[refute_0_530:[bind(X_36,$fot(X_183))]]) ).
cnf(refute_0_532,plain,
( op_t(X_183,mult(i(X_183),B)) != op_r(X_183,i(B),B)
| rd(op_t(X_183,mult(i(X_183),B)),mult(X_183,mult(i(X_183),B))) != i(mult(i(X_183),B))
| rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) = i(mult(i(X_183),B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_t(X_183,mult(i(X_183),B)),mult(X_183,mult(i(X_183),B))),i(mult(i(X_183),B))) ),[0,0],$fot(op_r(X_183,i(B),B))]]) ).
cnf(refute_0_533,plain,
( rd(op_t(X_183,mult(i(X_183),B)),mult(X_183,mult(i(X_183),B))) != i(mult(i(X_183),B))
| rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) = i(mult(i(X_183),B)) ),
inference(resolve,[$cnf( $equal(op_t(X_183,mult(i(X_183),B)),op_r(X_183,i(B),B)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) = i(mult(i(X_183),B)),
inference(resolve,[$cnf( $equal(rd(op_t(X_183,mult(i(X_183),B)),mult(X_183,mult(i(X_183),B))),i(mult(i(X_183),B))) )],[refute_0_495,refute_0_533]) ).
cnf(refute_0_535,plain,
mult(X_183,mult(i(X_183),B)) = B,
inference(subst,[],[refute_0_100:[bind(X_11,$fot(X_183))]]) ).
cnf(refute_0_536,plain,
rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) = rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))),
introduced(tautology,[refl,[$fot(rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))))]]) ).
cnf(refute_0_537,plain,
( mult(X_183,mult(i(X_183),B)) != B
| rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) != rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B)))
| rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) = rd(op_r(X_183,i(B),B),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))),rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_538,plain,
( mult(X_183,mult(i(X_183),B)) != B
| rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) = rd(op_r(X_183,i(B),B),B) ),
inference(resolve,[$cnf( $equal(rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))),rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B)))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) = rd(op_r(X_183,i(B),B),B),
inference(resolve,[$cnf( $equal(mult(X_183,mult(i(X_183),B)),B) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
( rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) != i(mult(i(X_183),B))
| rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) != rd(op_r(X_183,i(B),B),B)
| rd(op_r(X_183,i(B),B),B) = i(mult(i(X_183),B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))),i(mult(i(X_183),B))) ),[0],$fot(rd(op_r(X_183,i(B),B),B))]]) ).
cnf(refute_0_541,plain,
( rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) != i(mult(i(X_183),B))
| rd(op_r(X_183,i(B),B),B) = i(mult(i(X_183),B)) ),
inference(resolve,[$cnf( $equal(rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))),rd(op_r(X_183,i(B),B),B)) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
i(mult(i(X_183),B)) = mult(X_183,i(B)),
inference(subst,[],[refute_0_158:[bind(X_31,$fot(B)),bind(X_9,$fot(X_183))]]) ).
cnf(refute_0_543,plain,
( i(mult(i(X_183),B)) != mult(X_183,i(B))
| rd(op_r(X_183,i(B),B),B) != i(mult(i(X_183),B))
| rd(op_r(X_183,i(B),B),B) = mult(X_183,i(B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_r(X_183,i(B),B),B),i(mult(i(X_183),B))) ),[1],$fot(mult(X_183,i(B)))]]) ).
cnf(refute_0_544,plain,
( rd(op_r(X_183,i(B),B),B) != i(mult(i(X_183),B))
| rd(op_r(X_183,i(B),B),B) = mult(X_183,i(B)) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_183),B)),mult(X_183,i(B))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
( rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))) != i(mult(i(X_183),B))
| rd(op_r(X_183,i(B),B),B) = mult(X_183,i(B)) ),
inference(resolve,[$cnf( $equal(rd(op_r(X_183,i(B),B),B),i(mult(i(X_183),B))) )],[refute_0_541,refute_0_544]) ).
cnf(refute_0_546,plain,
rd(op_r(X_183,i(B),B),B) = mult(X_183,i(B)),
inference(resolve,[$cnf( $equal(rd(op_r(X_183,i(B),B),mult(X_183,mult(i(X_183),B))),i(mult(i(X_183),B))) )],[refute_0_534,refute_0_545]) ).
cnf(refute_0_547,plain,
rd(op_r(X_240,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_240,i(op_k(i(X_9),X_106))),
inference(subst,[],[refute_0_546:[bind(B,$fot(op_k(i(X_9),X_106))),bind(X_183,$fot(X_240))]]) ).
cnf(refute_0_548,plain,
( i(op_k(i(X_9),X_106)) != op_k(X_9,i(X_106))
| rd(op_r(X_240,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_240,i(op_k(i(X_9),X_106)))
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_240,i(op_k(i(X_9),X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_r(X_240,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_240,i(op_k(i(X_9),X_106)))) ),[0,0,1],$fot(op_k(X_9,i(X_106)))]]) ).
cnf(refute_0_549,plain,
( rd(op_r(X_240,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_240,i(op_k(i(X_9),X_106)))
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_240,i(op_k(i(X_9),X_106))) ),
inference(resolve,[$cnf( $equal(i(op_k(i(X_9),X_106)),op_k(X_9,i(X_106))) )],[refute_0_206,refute_0_548]) ).
cnf(refute_0_550,plain,
rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_240,i(op_k(i(X_9),X_106))),
inference(resolve,[$cnf( $equal(rd(op_r(X_240,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_240,i(op_k(i(X_9),X_106)))) )],[refute_0_547,refute_0_549]) ).
cnf(refute_0_551,plain,
mult(X_240,i(op_k(i(X_9),X_106))) = mult(X_240,i(op_k(i(X_9),X_106))),
introduced(tautology,[refl,[$fot(mult(X_240,i(op_k(i(X_9),X_106))))]]) ).
cnf(refute_0_552,plain,
( i(op_k(i(X_9),X_106)) != op_k(X_9,i(X_106))
| mult(X_240,i(op_k(i(X_9),X_106))) != mult(X_240,i(op_k(i(X_9),X_106)))
| mult(X_240,i(op_k(i(X_9),X_106))) = mult(X_240,op_k(X_9,i(X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_240,i(op_k(i(X_9),X_106))),mult(X_240,i(op_k(i(X_9),X_106)))) ),[1,1],$fot(op_k(X_9,i(X_106)))]]) ).
cnf(refute_0_553,plain,
( i(op_k(i(X_9),X_106)) != op_k(X_9,i(X_106))
| mult(X_240,i(op_k(i(X_9),X_106))) = mult(X_240,op_k(X_9,i(X_106))) ),
inference(resolve,[$cnf( $equal(mult(X_240,i(op_k(i(X_9),X_106))),mult(X_240,i(op_k(i(X_9),X_106)))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
mult(X_240,i(op_k(i(X_9),X_106))) = mult(X_240,op_k(X_9,i(X_106))),
inference(resolve,[$cnf( $equal(i(op_k(i(X_9),X_106)),op_k(X_9,i(X_106))) )],[refute_0_206,refute_0_553]) ).
cnf(refute_0_555,plain,
( mult(X_240,i(op_k(i(X_9),X_106))) != mult(X_240,op_k(X_9,i(X_106)))
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_240,i(op_k(i(X_9),X_106)))
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_240,op_k(X_9,i(X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_240,i(op_k(i(X_9),X_106)))) ),[1],$fot(mult(X_240,op_k(X_9,i(X_106))))]]) ).
cnf(refute_0_556,plain,
( rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_240,i(op_k(i(X_9),X_106)))
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_240,op_k(X_9,i(X_106))) ),
inference(resolve,[$cnf( $equal(mult(X_240,i(op_k(i(X_9),X_106))),mult(X_240,op_k(X_9,i(X_106)))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_240,op_k(X_9,i(X_106))),
inference(resolve,[$cnf( $equal(rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_240,i(op_k(i(X_9),X_106)))) )],[refute_0_550,refute_0_556]) ).
cnf(refute_0_558,plain,
mult(mult(X_210,i(X_212)),X_212) = mult(mult(X_210,mult(i(X_212),X_212)),asoc(X_210,i(X_212),X_212)),
inference(subst,[],[c10:[bind(A,$fot(X_210)),bind(B,$fot(i(X_212))),bind(C,$fot(X_212))]]) ).
cnf(refute_0_559,plain,
mult(i(X_212),X_212) = unit,
inference(subst,[],[c04:[bind(A,$fot(X_212))]]) ).
cnf(refute_0_560,plain,
( mult(i(X_212),X_212) != unit
| mult(mult(X_210,i(X_212)),X_212) != mult(mult(X_210,mult(i(X_212),X_212)),asoc(X_210,i(X_212),X_212))
| mult(mult(X_210,i(X_212)),X_212) = mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_210,i(X_212)),X_212),mult(mult(X_210,mult(i(X_212),X_212)),asoc(X_210,i(X_212),X_212))) ),[1,0,1],$fot(unit)]]) ).
cnf(refute_0_561,plain,
( mult(mult(X_210,i(X_212)),X_212) != mult(mult(X_210,mult(i(X_212),X_212)),asoc(X_210,i(X_212),X_212))
| mult(mult(X_210,i(X_212)),X_212) = mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) ),
inference(resolve,[$cnf( $equal(mult(i(X_212),X_212),unit) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
mult(mult(X_210,i(X_212)),X_212) = mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)),
inference(resolve,[$cnf( $equal(mult(mult(X_210,i(X_212)),X_212),mult(mult(X_210,mult(i(X_212),X_212)),asoc(X_210,i(X_212),X_212))) )],[refute_0_558,refute_0_561]) ).
cnf(refute_0_563,plain,
mult(mult(X_210,i(X_212)),X_212) = op_r(X_210,i(X_212),X_212),
inference(subst,[],[refute_0_526:[bind(X_88,$fot(X_210)),bind(X_90,$fot(X_212))]]) ).
cnf(refute_0_564,plain,
( mult(mult(X_210,i(X_212)),X_212) != mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))
| mult(mult(X_210,i(X_212)),X_212) != op_r(X_210,i(X_212),X_212)
| op_r(X_210,i(X_212),X_212) = mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_210,i(X_212)),X_212),mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))) ),[0],$fot(op_r(X_210,i(X_212),X_212))]]) ).
cnf(refute_0_565,plain,
( mult(mult(X_210,i(X_212)),X_212) != mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))
| op_r(X_210,i(X_212),X_212) = mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_210,i(X_212)),X_212),op_r(X_210,i(X_212),X_212)) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
mult(unit,asoc(X_210,i(X_212),X_212)) = asoc(X_210,i(X_212),X_212),
inference(subst,[],[c01:[bind(A,$fot(asoc(X_210,i(X_212),X_212)))]]) ).
cnf(refute_0_567,plain,
mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))) = mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))),
introduced(tautology,[refl,[$fot(mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))))]]) ).
cnf(refute_0_568,plain,
( mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))) != mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212)))
| mult(unit,asoc(X_210,i(X_212),X_212)) != asoc(X_210,i(X_212),X_212)
| mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))) = mult(X_210,asoc(X_210,i(X_212),X_212)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))),mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212)))) ),[1,1],$fot(asoc(X_210,i(X_212),X_212))]]) ).
cnf(refute_0_569,plain,
( mult(unit,asoc(X_210,i(X_212),X_212)) != asoc(X_210,i(X_212),X_212)
| mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))) = mult(X_210,asoc(X_210,i(X_212),X_212)) ),
inference(resolve,[$cnf( $equal(mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))),mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212)))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))) = mult(X_210,asoc(X_210,i(X_212),X_212)),
inference(resolve,[$cnf( $equal(mult(unit,asoc(X_210,i(X_212),X_212)),asoc(X_210,i(X_212),X_212)) )],[refute_0_566,refute_0_569]) ).
cnf(refute_0_571,plain,
mult(mult(X_210,X_211),asoc(C,D,E)) = mult(mult(X_210,mult(X_211,asoc(C,D,E))),asoc(X_210,X_211,asoc(C,D,E))),
inference(subst,[],[c10:[bind(A,$fot(X_210)),bind(B,$fot(X_211)),bind(C,$fot(asoc(C,D,E)))]]) ).
cnf(refute_0_572,plain,
asoc(X_210,X_211,asoc(C,D,E)) = unit,
inference(subst,[],[c22:[bind(A,$fot(X_210)),bind(B,$fot(X_211))]]) ).
cnf(refute_0_573,plain,
( asoc(X_210,X_211,asoc(C,D,E)) != unit
| mult(mult(X_210,X_211),asoc(C,D,E)) != mult(mult(X_210,mult(X_211,asoc(C,D,E))),asoc(X_210,X_211,asoc(C,D,E)))
| mult(mult(X_210,X_211),asoc(C,D,E)) = mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_210,X_211),asoc(C,D,E)),mult(mult(X_210,mult(X_211,asoc(C,D,E))),asoc(X_210,X_211,asoc(C,D,E)))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_574,plain,
( mult(mult(X_210,X_211),asoc(C,D,E)) != mult(mult(X_210,mult(X_211,asoc(C,D,E))),asoc(X_210,X_211,asoc(C,D,E)))
| mult(mult(X_210,X_211),asoc(C,D,E)) = mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit) ),
inference(resolve,[$cnf( $equal(asoc(X_210,X_211,asoc(C,D,E)),unit) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
mult(mult(X_210,X_211),asoc(C,D,E)) = mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit),
inference(resolve,[$cnf( $equal(mult(mult(X_210,X_211),asoc(C,D,E)),mult(mult(X_210,mult(X_211,asoc(C,D,E))),asoc(X_210,X_211,asoc(C,D,E)))) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit) = mult(X_210,mult(X_211,asoc(C,D,E))),
inference(subst,[],[c02:[bind(A,$fot(mult(X_210,mult(X_211,asoc(C,D,E)))))]]) ).
cnf(refute_0_577,plain,
( mult(mult(X_210,X_211),asoc(C,D,E)) != mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit)
| mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit) != mult(X_210,mult(X_211,asoc(C,D,E)))
| mult(mult(X_210,X_211),asoc(C,D,E)) = mult(X_210,mult(X_211,asoc(C,D,E))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_210,X_211),asoc(C,D,E)),mult(X_210,mult(X_211,asoc(C,D,E)))) ),[0],$fot(mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit))]]) ).
cnf(refute_0_578,plain,
( mult(mult(X_210,X_211),asoc(C,D,E)) != mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit)
| mult(mult(X_210,X_211),asoc(C,D,E)) = mult(X_210,mult(X_211,asoc(C,D,E))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit),mult(X_210,mult(X_211,asoc(C,D,E)))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
mult(mult(X_210,X_211),asoc(C,D,E)) = mult(X_210,mult(X_211,asoc(C,D,E))),
inference(resolve,[$cnf( $equal(mult(mult(X_210,X_211),asoc(C,D,E)),mult(mult(X_210,mult(X_211,asoc(C,D,E))),unit)) )],[refute_0_575,refute_0_578]) ).
cnf(refute_0_580,plain,
mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) = mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))),
inference(subst,[],[refute_0_579:[bind(C,$fot(X_210)),bind(D,$fot(i(X_212))),bind(E,$fot(X_212)),bind(X_211,$fot(unit))]]) ).
cnf(refute_0_581,plain,
( mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))) != mult(X_210,asoc(X_210,i(X_212),X_212))
| mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) != mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212)))
| mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) = mult(X_210,asoc(X_210,i(X_212),X_212)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)))),bind(Y,$fot(mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))))),bind(Z,$fot(mult(X_210,asoc(X_210,i(X_212),X_212))))]]) ).
cnf(refute_0_582,plain,
( mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))) != mult(X_210,asoc(X_210,i(X_212),X_212))
| mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) = mult(X_210,asoc(X_210,i(X_212),X_212)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)),mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212)))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) = mult(X_210,asoc(X_210,i(X_212),X_212)),
inference(resolve,[$cnf( $equal(mult(X_210,mult(unit,asoc(X_210,i(X_212),X_212))),mult(X_210,asoc(X_210,i(X_212),X_212))) )],[refute_0_570,refute_0_582]) ).
cnf(refute_0_584,plain,
( mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)) != mult(X_210,asoc(X_210,i(X_212),X_212))
| op_r(X_210,i(X_212),X_212) != mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))
| op_r(X_210,i(X_212),X_212) = mult(X_210,asoc(X_210,i(X_212),X_212)) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_210,i(X_212),X_212),mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))) ),[1],$fot(mult(X_210,asoc(X_210,i(X_212),X_212)))]]) ).
cnf(refute_0_585,plain,
( op_r(X_210,i(X_212),X_212) != mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))
| op_r(X_210,i(X_212),X_212) = mult(X_210,asoc(X_210,i(X_212),X_212)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212)),mult(X_210,asoc(X_210,i(X_212),X_212))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
( mult(mult(X_210,i(X_212)),X_212) != mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))
| op_r(X_210,i(X_212),X_212) = mult(X_210,asoc(X_210,i(X_212),X_212)) ),
inference(resolve,[$cnf( $equal(op_r(X_210,i(X_212),X_212),mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))) )],[refute_0_565,refute_0_585]) ).
cnf(refute_0_587,plain,
op_r(X_210,i(X_212),X_212) = mult(X_210,asoc(X_210,i(X_212),X_212)),
inference(resolve,[$cnf( $equal(mult(mult(X_210,i(X_212)),X_212),mult(mult(X_210,unit),asoc(X_210,i(X_212),X_212))) )],[refute_0_562,refute_0_586]) ).
cnf(refute_0_588,plain,
op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_227,asoc(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106))),
inference(subst,[],[refute_0_587:[bind(X_210,$fot(X_227)),bind(X_212,$fot(op_k(i(X_9),X_106)))]]) ).
cnf(refute_0_589,plain,
( i(op_k(i(X_9),X_106)) != op_k(X_9,i(X_106))
| op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_227,asoc(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)))
| op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_227,asoc(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)))) ),[1,1,1],$fot(op_k(X_9,i(X_106)))]]) ).
cnf(refute_0_590,plain,
( op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_227,asoc(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)))
| op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) ),
inference(resolve,[$cnf( $equal(i(op_k(i(X_9),X_106)),op_k(X_9,i(X_106))) )],[refute_0_206,refute_0_589]) ).
cnf(refute_0_591,plain,
op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))),
inference(resolve,[$cnf( $equal(op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_227,asoc(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)))) )],[refute_0_588,refute_0_590]) ).
cnf(refute_0_592,plain,
op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),
introduced(tautology,[refl,[$fot(op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)))]]) ).
cnf(refute_0_593,plain,
( i(op_k(i(X_9),X_106)) != op_k(X_9,i(X_106))
| op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106))
| op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106))) ),[1,1],$fot(op_k(X_9,i(X_106)))]]) ).
cnf(refute_0_594,plain,
( i(op_k(i(X_9),X_106)) != op_k(X_9,i(X_106))
| op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) ),
inference(resolve,[$cnf( $equal(op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),
inference(resolve,[$cnf( $equal(i(op_k(i(X_9),X_106)),op_k(X_9,i(X_106))) )],[refute_0_206,refute_0_594]) ).
cnf(refute_0_596,plain,
( op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))
| op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))
| op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) = mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))) ),[0],$fot(op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))]]) ).
cnf(refute_0_597,plain,
( op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))
| op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) = mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) ),
inference(resolve,[$cnf( $equal(op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) = mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))),
inference(resolve,[$cnf( $equal(op_r(X_227,i(op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))) )],[refute_0_591,refute_0_597]) ).
cnf(refute_0_599,plain,
mult(X_227,unit) = X_227,
inference(subst,[],[c02:[bind(A,$fot(X_227))]]) ).
cnf(refute_0_600,plain,
asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) = unit,
inference(subst,[],[refute_0_475:[bind(A,$fot(X_227)),bind(B,$fot(op_k(X_9,i(X_106)))),bind(X_489,$fot(i(X_9))),bind(X_490,$fot(X_106))]]) ).
cnf(refute_0_601,plain,
mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) = mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))),
introduced(tautology,[refl,[$fot(mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))))]]) ).
cnf(refute_0_602,plain,
( asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) != unit
| mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) != mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))
| mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) = mult(X_227,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))),mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_603,plain,
( asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) != unit
| mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) = mult(X_227,unit) ),
inference(resolve,[$cnf( $equal(mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))),mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) = mult(X_227,unit),
inference(resolve,[$cnf( $equal(asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),unit) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
( mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) != mult(X_227,unit)
| mult(X_227,unit) != X_227
| mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) = X_227 ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))))),bind(Y,$fot(mult(X_227,unit))),bind(Z,$fot(X_227))]]) ).
cnf(refute_0_606,plain,
( mult(X_227,unit) != X_227
| mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) = X_227 ),
inference(resolve,[$cnf( $equal(mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))),mult(X_227,unit)) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) = X_227,
inference(resolve,[$cnf( $equal(mult(X_227,unit),X_227) )],[refute_0_599,refute_0_606]) ).
cnf(refute_0_608,plain,
( mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))) != X_227
| op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) != mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))
| op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) = X_227 ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))) ),[1],$fot(X_227)]]) ).
cnf(refute_0_609,plain,
( op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) != mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))
| op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) = X_227 ),
inference(resolve,[$cnf( $equal(mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106))),X_227) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) = X_227,
inference(resolve,[$cnf( $equal(op_r(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),mult(X_227,asoc(X_227,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)))) )],[refute_0_598,refute_0_609]) ).
cnf(refute_0_611,plain,
op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) = X_240,
inference(subst,[],[refute_0_610:[bind(X_227,$fot(X_240))]]) ).
cnf(refute_0_612,plain,
rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),
introduced(tautology,[refl,[$fot(rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)))]]) ).
cnf(refute_0_613,plain,
( op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) != X_240
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106))
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = rd(X_240,op_k(i(X_9),X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106))) ),[1,0],$fot(X_240)]]) ).
cnf(refute_0_614,plain,
( op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)) != X_240
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = rd(X_240,op_k(i(X_9),X_106)) ),
inference(resolve,[$cnf( $equal(rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) = rd(X_240,op_k(i(X_9),X_106)),
inference(resolve,[$cnf( $equal(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),X_240) )],[refute_0_611,refute_0_614]) ).
cnf(refute_0_616,plain,
( rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_240,op_k(X_9,i(X_106)))
| rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != rd(X_240,op_k(i(X_9),X_106))
| rd(X_240,op_k(i(X_9),X_106)) = mult(X_240,op_k(X_9,i(X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_240,op_k(X_9,i(X_106)))) ),[0],$fot(rd(X_240,op_k(i(X_9),X_106)))]]) ).
cnf(refute_0_617,plain,
( rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)) != mult(X_240,op_k(X_9,i(X_106)))
| rd(X_240,op_k(i(X_9),X_106)) = mult(X_240,op_k(X_9,i(X_106))) ),
inference(resolve,[$cnf( $equal(rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),rd(X_240,op_k(i(X_9),X_106))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
rd(X_240,op_k(i(X_9),X_106)) = mult(X_240,op_k(X_9,i(X_106))),
inference(resolve,[$cnf( $equal(rd(op_r(X_240,op_k(X_9,i(X_106)),op_k(i(X_9),X_106)),op_k(i(X_9),X_106)),mult(X_240,op_k(X_9,i(X_106)))) )],[refute_0_557,refute_0_617]) ).
cnf(refute_0_619,plain,
rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))),
inference(subst,[],[refute_0_618:[bind(X_106,$fot(mult(X_200,X_50))),bind(X_240,$fot(op_k(mult(i(mult(X_200,X_50)),X_200),X_50))),bind(X_9,$fot(X_200))]]) ).
cnf(refute_0_620,plain,
( mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) != op_k(X_200,i(mult(X_200,X_50)))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) != mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50))))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = op_k(X_200,i(mult(X_200,X_50))) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))))),bind(Y,$fot(mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))))),bind(Z,$fot(op_k(X_200,i(mult(X_200,X_50)))))]]) ).
cnf(refute_0_621,plain,
( mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))) != op_k(X_200,i(mult(X_200,X_50)))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = op_k(X_200,i(mult(X_200,X_50))) ),
inference(resolve,[$cnf( $equal(rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))),mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50))))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) = op_k(X_200,i(mult(X_200,X_50))),
inference(resolve,[$cnf( $equal(mult(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(X_200,i(mult(X_200,X_50)))),op_k(X_200,i(mult(X_200,X_50)))) )],[refute_0_487,refute_0_621]) ).
cnf(refute_0_623,plain,
( rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) != op_k(X_200,i(mult(X_200,X_50)))
| rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) != op_k(mult(X_200,X_50),i(X_200))
| op_k(X_200,i(mult(X_200,X_50))) = op_k(mult(X_200,X_50),i(X_200)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))),op_k(mult(X_200,X_50),i(X_200))) ),[0],$fot(op_k(X_200,i(mult(X_200,X_50))))]]) ).
cnf(refute_0_624,plain,
( rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))) != op_k(mult(X_200,X_50),i(X_200))
| op_k(X_200,i(mult(X_200,X_50))) = op_k(mult(X_200,X_50),i(X_200)) ),
inference(resolve,[$cnf( $equal(rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))),op_k(X_200,i(mult(X_200,X_50)))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
op_k(X_200,i(mult(X_200,X_50))) = op_k(mult(X_200,X_50),i(X_200)),
inference(resolve,[$cnf( $equal(rd(op_k(mult(i(mult(X_200,X_50)),X_200),X_50),op_k(i(X_200),mult(X_200,X_50))),op_k(mult(X_200,X_50),i(X_200))) )],[refute_0_383,refute_0_624]) ).
cnf(refute_0_626,plain,
( op_k(X_200,i(mult(X_200,X_50))) != op_k(mult(X_200,X_50),i(X_200))
| op_k(mult(X_200,X_50),i(X_200)) = op_k(X_200,i(mult(X_200,X_50))) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_k(X_200,i(mult(X_200,X_50))))),bind(Y,$fot(op_k(mult(X_200,X_50),i(X_200))))]]) ).
cnf(refute_0_627,plain,
op_k(mult(X_200,X_50),i(X_200)) = op_k(X_200,i(mult(X_200,X_50))),
inference(resolve,[$cnf( $equal(op_k(X_200,i(mult(X_200,X_50))),op_k(mult(X_200,X_50),i(X_200))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) = op_k(X_325,i(mult(X_325,mult(i(B),X_325)))),
inference(subst,[],[refute_0_627:[bind(X_200,$fot(X_325)),bind(X_50,$fot(mult(i(B),X_325)))]]) ).
cnf(refute_0_629,plain,
( op_k(X_325,i(mult(X_325,mult(i(B),X_325)))) != op_k(B,i(X_325))
| op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) != op_k(X_325,i(mult(X_325,mult(i(B),X_325))))
| op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) = op_k(B,i(X_325)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(op_k(mult(X_325,mult(i(B),X_325)),i(X_325)))),bind(Y,$fot(op_k(X_325,i(mult(X_325,mult(i(B),X_325)))))),bind(Z,$fot(op_k(B,i(X_325))))]]) ).
cnf(refute_0_630,plain,
( op_k(X_325,i(mult(X_325,mult(i(B),X_325)))) != op_k(B,i(X_325))
| op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) = op_k(B,i(X_325)) ),
inference(resolve,[$cnf( $equal(op_k(mult(X_325,mult(i(B),X_325)),i(X_325)),op_k(X_325,i(mult(X_325,mult(i(B),X_325))))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) = op_k(B,i(X_325)),
inference(resolve,[$cnf( $equal(op_k(X_325,i(mult(X_325,mult(i(B),X_325)))),op_k(B,i(X_325))) )],[refute_0_329,refute_0_630]) ).
cnf(refute_0_632,plain,
( op_k(X_325,i(B)) != op_k(mult(X_325,mult(i(B),X_325)),i(X_325))
| op_k(mult(X_325,mult(i(B),X_325)),i(X_325)) != op_k(B,i(X_325))
| op_k(X_325,i(B)) = op_k(B,i(X_325)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op_k(X_325,i(B)),op_k(B,i(X_325))) ),[0],$fot(op_k(mult(X_325,mult(i(B),X_325)),i(X_325)))]]) ).
cnf(refute_0_633,plain,
( op_k(X_325,i(B)) != op_k(mult(X_325,mult(i(B),X_325)),i(X_325))
| op_k(X_325,i(B)) = op_k(B,i(X_325)) ),
inference(resolve,[$cnf( $equal(op_k(mult(X_325,mult(i(B),X_325)),i(X_325)),op_k(B,i(X_325))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
op_k(X_325,i(B)) = op_k(B,i(X_325)),
inference(resolve,[$cnf( $equal(op_k(X_325,i(B)),op_k(mult(X_325,mult(i(B),X_325)),i(X_325))) )],[refute_0_273,refute_0_633]) ).
cnf(refute_0_635,plain,
( op_k(X_325,i(B)) != op_k(B,i(X_325))
| op_k(B,i(X_325)) = op_k(X_325,i(B)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_k(X_325,i(B)))),bind(Y,$fot(op_k(B,i(X_325))))]]) ).
cnf(refute_0_636,plain,
op_k(B,i(X_325)) = op_k(X_325,i(B)),
inference(resolve,[$cnf( $equal(op_k(X_325,i(B)),op_k(B,i(X_325))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
op_k(mult(X_305,rd(X_304,X_305)),i(X_304)) = op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),
inference(subst,[],[refute_0_636:[bind(B,$fot(mult(X_305,rd(X_304,X_305)))),bind(X_325,$fot(X_304))]]) ).
cnf(refute_0_638,plain,
op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),
introduced(tautology,[refl,[$fot(op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))))]]) ).
cnf(refute_0_639,plain,
( op_k(mult(X_305,rd(X_304,X_305)),i(X_304)) != op_k(X_304,i(mult(X_305,rd(X_304,X_305))))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304)))) ),[1,1],$fot(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))))]]) ).
cnf(refute_0_640,plain,
( op_k(mult(X_305,rd(X_304,X_305)),i(X_304)) != op_k(X_304,i(mult(X_305,rd(X_304,X_305))))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) ),
inference(resolve,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304)))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) = op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))),
inference(resolve,[$cnf( $equal(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) )],[refute_0_637,refute_0_640]) ).
cnf(refute_0_642,plain,
( op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305)))))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))) ),[0],$fot(op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))))]]) ).
cnf(refute_0_643,plain,
( op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),
inference(resolve,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305)))))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) = mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)),
introduced(tautology,[refl,[$fot(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))]]) ).
cnf(refute_0_645,plain,
( mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) != mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))
| op_k(mult(X_305,rd(X_304,X_305)),i(X_304)) != op_k(X_304,i(mult(X_305,rd(X_304,X_305))))
| mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) = mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)),mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) ),[1,0],$fot(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))))]]) ).
cnf(refute_0_646,plain,
( op_k(mult(X_305,rd(X_304,X_305)),i(X_304)) != op_k(X_304,i(mult(X_305,rd(X_304,X_305))))
| mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) = mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)) ),
inference(resolve,[$cnf( $equal(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)),mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) = mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)),
inference(resolve,[$cnf( $equal(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) )],[refute_0_637,refute_0_646]) ).
cnf(refute_0_648,plain,
i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) = i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))),
introduced(tautology,[refl,[$fot(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))))]]) ).
cnf(refute_0_649,plain,
( i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) != mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))
| i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))) ),[1,0],$fot(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))]]) ).
cnf(refute_0_650,plain,
( mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)) != mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))
| i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) ),
inference(resolve,[$cnf( $equal(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))),
inference(resolve,[$cnf( $equal(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)),mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
( i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))) != i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))) ),[1],$fot(i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))))]]) ).
cnf(refute_0_653,plain,
( op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) ),
inference(resolve,[$cnf( $equal(i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305))),i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
( op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))) != i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) ),
inference(resolve,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))) )],[refute_0_643,refute_0_653]) ).
cnf(refute_0_655,plain,
op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))),
inference(resolve,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(mult(X_305,rd(X_304,X_305)),i(X_304))),i(mult(op_k(mult(X_305,rd(X_304,X_305)),i(X_304)),op_k(rd(X_304,X_305),X_305)))) )],[refute_0_173,refute_0_654]) ).
cnf(refute_0_656,plain,
mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173)))),
inference(subst,[],[refute_0_179:[bind(B,$fot(op_k(X_172,i(X_173))))]]) ).
cnf(refute_0_657,plain,
mult(mult(i(X_9),X_105),i(mult(X_105,i(X_9)))) = i(op_k(X_105,i(X_9))),
inference(subst,[],[refute_0_113:[bind(A,$fot(X_105)),bind(B,$fot(i(X_9)))]]) ).
cnf(refute_0_658,plain,
i(mult(X_105,i(X_9))) = mult(i(X_105),X_9),
inference(subst,[],[refute_0_212:[bind(X_30,$fot(X_105))]]) ).
cnf(refute_0_659,plain,
( i(mult(X_105,i(X_9))) != mult(i(X_105),X_9)
| mult(mult(i(X_9),X_105),i(mult(X_105,i(X_9)))) != i(op_k(X_105,i(X_9)))
| mult(mult(i(X_9),X_105),mult(i(X_105),X_9)) = i(op_k(X_105,i(X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_9),X_105),i(mult(X_105,i(X_9)))),i(op_k(X_105,i(X_9)))) ),[0,1],$fot(mult(i(X_105),X_9))]]) ).
cnf(refute_0_660,plain,
( mult(mult(i(X_9),X_105),i(mult(X_105,i(X_9)))) != i(op_k(X_105,i(X_9)))
| mult(mult(i(X_9),X_105),mult(i(X_105),X_9)) = i(op_k(X_105,i(X_9))) ),
inference(resolve,[$cnf( $equal(i(mult(X_105,i(X_9))),mult(i(X_105),X_9)) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
mult(mult(i(X_9),X_105),mult(i(X_105),X_9)) = i(op_k(X_105,i(X_9))),
inference(resolve,[$cnf( $equal(mult(mult(i(X_9),X_105),i(mult(X_105,i(X_9)))),i(op_k(X_105,i(X_9)))) )],[refute_0_657,refute_0_660]) ).
cnf(refute_0_662,plain,
mult(mult(i(X_9),X_105),mult(i(X_105),X_9)) = op_k(i(X_105),X_9),
inference(subst,[],[refute_0_216:[bind(X_16,$fot(X_9)),bind(X_98,$fot(X_105))]]) ).
cnf(refute_0_663,plain,
( mult(mult(i(X_9),X_105),mult(i(X_105),X_9)) != i(op_k(X_105,i(X_9)))
| mult(mult(i(X_9),X_105),mult(i(X_105),X_9)) != op_k(i(X_105),X_9)
| op_k(i(X_105),X_9) = i(op_k(X_105,i(X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_9),X_105),mult(i(X_105),X_9)),i(op_k(X_105,i(X_9)))) ),[0],$fot(op_k(i(X_105),X_9))]]) ).
cnf(refute_0_664,plain,
( mult(mult(i(X_9),X_105),mult(i(X_105),X_9)) != i(op_k(X_105,i(X_9)))
| op_k(i(X_105),X_9) = i(op_k(X_105,i(X_9))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(X_9),X_105),mult(i(X_105),X_9)),op_k(i(X_105),X_9)) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
op_k(i(X_105),X_9) = i(op_k(X_105,i(X_9))),
inference(resolve,[$cnf( $equal(mult(mult(i(X_9),X_105),mult(i(X_105),X_9)),i(op_k(X_105,i(X_9)))) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
op_k(i(X_172),X_173) = i(op_k(X_172,i(X_173))),
inference(subst,[],[refute_0_665:[bind(X_105,$fot(X_172)),bind(X_9,$fot(X_173))]]) ).
cnf(refute_0_667,plain,
( op_k(i(X_172),X_173) != i(op_k(X_172,i(X_173)))
| i(op_k(X_172,i(X_173))) = op_k(i(X_172),X_173) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_k(i(X_172),X_173))),bind(Y,$fot(i(op_k(X_172,i(X_173)))))]]) ).
cnf(refute_0_668,plain,
i(op_k(X_172,i(X_173))) = op_k(i(X_172),X_173),
inference(resolve,[$cnf( $equal(op_k(i(X_172),X_173),i(op_k(X_172,i(X_173)))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
( i(op_k(X_172,i(X_173))) != op_k(i(X_172),X_173)
| mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))))
| mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))),mult(X_23,op_k(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))))) ),[1,1,0,0],$fot(op_k(i(X_172),X_173))]]) ).
cnf(refute_0_670,plain,
( mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))))
| mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_172,i(X_173))),op_k(i(X_172),X_173)) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))),mult(X_23,op_k(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))))) )],[refute_0_656,refute_0_670]) ).
cnf(refute_0_672,plain,
mult(i(op_k(X_172,i(X_173))),X_23) = mult(i(op_k(X_172,i(X_173))),X_23),
introduced(tautology,[refl,[$fot(mult(i(op_k(X_172,i(X_173))),X_23))]]) ).
cnf(refute_0_673,plain,
( i(op_k(X_172,i(X_173))) != op_k(i(X_172),X_173)
| mult(i(op_k(X_172,i(X_173))),X_23) != mult(i(op_k(X_172,i(X_173))),X_23)
| mult(i(op_k(X_172,i(X_173))),X_23) = mult(op_k(i(X_172),X_173),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(op_k(X_172,i(X_173))),X_23),mult(i(op_k(X_172,i(X_173))),X_23)) ),[1,0],$fot(op_k(i(X_172),X_173))]]) ).
cnf(refute_0_674,plain,
( i(op_k(X_172,i(X_173))) != op_k(i(X_172),X_173)
| mult(i(op_k(X_172,i(X_173))),X_23) = mult(op_k(i(X_172),X_173),X_23) ),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_172,i(X_173))),X_23),mult(i(op_k(X_172,i(X_173))),X_23)) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
mult(i(op_k(X_172,i(X_173))),X_23) = mult(op_k(i(X_172),X_173),X_23),
inference(resolve,[$cnf( $equal(i(op_k(X_172,i(X_173))),op_k(i(X_172),X_173)) )],[refute_0_668,refute_0_674]) ).
cnf(refute_0_676,plain,
mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) = mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))),
introduced(tautology,[refl,[$fot(mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))))]]) ).
cnf(refute_0_677,plain,
( mult(i(op_k(X_172,i(X_173))),X_23) != mult(op_k(i(X_172),X_173),X_23)
| mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) != mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173)))
| mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) = mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))),mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173)))) ),[1,0],$fot(mult(op_k(i(X_172),X_173),X_23))]]) ).
cnf(refute_0_678,plain,
( mult(i(op_k(X_172,i(X_173))),X_23) != mult(op_k(i(X_172),X_173),X_23)
| mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) = mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))),mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173)))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) = mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_172,i(X_173))),X_23),mult(op_k(i(X_172),X_173),X_23)) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
( mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))
| mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) != mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))
| mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))),mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))) ),[0],$fot(mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))]]) ).
cnf(refute_0_681,plain,
( mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))
| mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))),mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_172,i(X_173))),X_23),op_k(X_172,i(X_173))),mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))) )],[refute_0_671,refute_0_681]) ).
cnf(refute_0_683,plain,
mult(mult(i(X_212),X_211),X_212) = mult(mult(i(X_212),mult(X_211,X_212)),asoc(i(X_212),X_211,X_212)),
inference(subst,[],[c10:[bind(A,$fot(i(X_212))),bind(B,$fot(X_211)),bind(C,$fot(X_212))]]) ).
cnf(refute_0_684,plain,
op_t(X_211,X_212) = mult(i(X_212),mult(X_211,X_212)),
inference(subst,[],[c14:[bind(A,$fot(X_211)),bind(B,$fot(X_212))]]) ).
cnf(refute_0_685,plain,
( op_t(X_211,X_212) != mult(i(X_212),mult(X_211,X_212))
| mult(i(X_212),mult(X_211,X_212)) = op_t(X_211,X_212) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_t(X_211,X_212))),bind(Y,$fot(mult(i(X_212),mult(X_211,X_212))))]]) ).
cnf(refute_0_686,plain,
mult(i(X_212),mult(X_211,X_212)) = op_t(X_211,X_212),
inference(resolve,[$cnf( $equal(op_t(X_211,X_212),mult(i(X_212),mult(X_211,X_212))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
( mult(i(X_212),mult(X_211,X_212)) != op_t(X_211,X_212)
| mult(mult(i(X_212),X_211),X_212) != mult(mult(i(X_212),mult(X_211,X_212)),asoc(i(X_212),X_211,X_212))
| mult(mult(i(X_212),X_211),X_212) = mult(op_t(X_211,X_212),asoc(i(X_212),X_211,X_212)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_212),X_211),X_212),mult(mult(i(X_212),mult(X_211,X_212)),asoc(i(X_212),X_211,X_212))) ),[1,0],$fot(op_t(X_211,X_212))]]) ).
cnf(refute_0_688,plain,
( mult(mult(i(X_212),X_211),X_212) != mult(mult(i(X_212),mult(X_211,X_212)),asoc(i(X_212),X_211,X_212))
| mult(mult(i(X_212),X_211),X_212) = mult(op_t(X_211,X_212),asoc(i(X_212),X_211,X_212)) ),
inference(resolve,[$cnf( $equal(mult(i(X_212),mult(X_211,X_212)),op_t(X_211,X_212)) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
mult(mult(i(X_212),X_211),X_212) = mult(op_t(X_211,X_212),asoc(i(X_212),X_211,X_212)),
inference(resolve,[$cnf( $equal(mult(mult(i(X_212),X_211),X_212),mult(mult(i(X_212),mult(X_211,X_212)),asoc(i(X_212),X_211,X_212))) )],[refute_0_683,refute_0_688]) ).
cnf(refute_0_690,plain,
mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) = mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(i(op_k(X_105,i(X_9))),X_352,op_k(X_105,i(X_9)))),
inference(subst,[],[refute_0_689:[bind(X_211,$fot(X_352)),bind(X_212,$fot(op_k(X_105,i(X_9))))]]) ).
cnf(refute_0_691,plain,
( op_k(i(X_105),X_9) != i(op_k(X_105,i(X_9)))
| i(op_k(X_105,i(X_9))) = op_k(i(X_105),X_9) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_k(i(X_105),X_9))),bind(Y,$fot(i(op_k(X_105,i(X_9)))))]]) ).
cnf(refute_0_692,plain,
i(op_k(X_105,i(X_9))) = op_k(i(X_105),X_9),
inference(resolve,[$cnf( $equal(op_k(i(X_105),X_9),i(op_k(X_105,i(X_9)))) )],[refute_0_665,refute_0_691]) ).
cnf(refute_0_693,plain,
( i(op_k(X_105,i(X_9))) != op_k(i(X_105),X_9)
| mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) != mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(i(op_k(X_105,i(X_9))),X_352,op_k(X_105,i(X_9))))
| mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) = mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))),mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(i(op_k(X_105,i(X_9))),X_352,op_k(X_105,i(X_9))))) ),[1,1,0],$fot(op_k(i(X_105),X_9))]]) ).
cnf(refute_0_694,plain,
( mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) != mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(i(op_k(X_105,i(X_9))),X_352,op_k(X_105,i(X_9))))
| mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) = mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_105,i(X_9))),op_k(i(X_105),X_9)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) = mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))),mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(i(op_k(X_105,i(X_9))),X_352,op_k(X_105,i(X_9))))) )],[refute_0_690,refute_0_694]) ).
cnf(refute_0_696,plain,
mult(i(op_k(X_105,i(X_9))),X_352) = mult(i(op_k(X_105,i(X_9))),X_352),
introduced(tautology,[refl,[$fot(mult(i(op_k(X_105,i(X_9))),X_352))]]) ).
cnf(refute_0_697,plain,
( i(op_k(X_105,i(X_9))) != op_k(i(X_105),X_9)
| mult(i(op_k(X_105,i(X_9))),X_352) != mult(i(op_k(X_105,i(X_9))),X_352)
| mult(i(op_k(X_105,i(X_9))),X_352) = mult(op_k(i(X_105),X_9),X_352) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(op_k(X_105,i(X_9))),X_352),mult(i(op_k(X_105,i(X_9))),X_352)) ),[1,0],$fot(op_k(i(X_105),X_9))]]) ).
cnf(refute_0_698,plain,
( i(op_k(X_105,i(X_9))) != op_k(i(X_105),X_9)
| mult(i(op_k(X_105,i(X_9))),X_352) = mult(op_k(i(X_105),X_9),X_352) ),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_105,i(X_9))),X_352),mult(i(op_k(X_105,i(X_9))),X_352)) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
mult(i(op_k(X_105,i(X_9))),X_352) = mult(op_k(i(X_105),X_9),X_352),
inference(resolve,[$cnf( $equal(i(op_k(X_105,i(X_9))),op_k(i(X_105),X_9)) )],[refute_0_692,refute_0_698]) ).
cnf(refute_0_700,plain,
mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) = mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))),
introduced(tautology,[refl,[$fot(mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))))]]) ).
cnf(refute_0_701,plain,
( mult(i(op_k(X_105,i(X_9))),X_352) != mult(op_k(i(X_105),X_9),X_352)
| mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) != mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9)))
| mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) = mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))),mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9)))) ),[1,0],$fot(mult(op_k(i(X_105),X_9),X_352))]]) ).
cnf(refute_0_702,plain,
( mult(i(op_k(X_105,i(X_9))),X_352) != mult(op_k(i(X_105),X_9),X_352)
| mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) = mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))),mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9)))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) = mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_105,i(X_9))),X_352),mult(op_k(i(X_105),X_9),X_352)) )],[refute_0_699,refute_0_702]) ).
cnf(refute_0_704,plain,
( mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) != mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9)))
| mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) != mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))
| mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) = mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))),mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))) ),[0],$fot(mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))))]]) ).
cnf(refute_0_705,plain,
( mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))) != mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))
| mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) = mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))),mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9)))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) = mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_105,i(X_9))),X_352),op_k(X_105,i(X_9))),mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))) )],[refute_0_695,refute_0_705]) ).
cnf(refute_0_707,plain,
mult(op_t(X_352,op_k(X_105,i(X_9))),unit) = op_t(X_352,op_k(X_105,i(X_9))),
inference(subst,[],[c02:[bind(A,$fot(op_t(X_352,op_k(X_105,i(X_9)))))]]) ).
cnf(refute_0_708,plain,
asoc(asoc(i(X_490),i(X_489),mult(X_489,X_490)),D,E) = unit,
inference(subst,[],[c21:[bind(A,$fot(i(X_490))),bind(B,$fot(i(X_489))),bind(C,$fot(mult(X_489,X_490)))]]) ).
cnf(refute_0_709,plain,
( asoc(asoc(i(X_490),i(X_489),mult(X_489,X_490)),D,E) != unit
| asoc(i(X_490),i(X_489),mult(X_489,X_490)) != op_k(X_489,X_490)
| asoc(op_k(X_489,X_490),D,E) = unit ),
introduced(tautology,[equality,[$cnf( $equal(asoc(asoc(i(X_490),i(X_489),mult(X_489,X_490)),D,E),unit) ),[0,0],$fot(op_k(X_489,X_490))]]) ).
cnf(refute_0_710,plain,
( asoc(asoc(i(X_490),i(X_489),mult(X_489,X_490)),D,E) != unit
| asoc(op_k(X_489,X_490),D,E) = unit ),
inference(resolve,[$cnf( $equal(asoc(i(X_490),i(X_489),mult(X_489,X_490)),op_k(X_489,X_490)) )],[refute_0_472,refute_0_709]) ).
cnf(refute_0_711,plain,
asoc(op_k(X_489,X_490),D,E) = unit,
inference(resolve,[$cnf( $equal(asoc(asoc(i(X_490),i(X_489),mult(X_489,X_490)),D,E),unit) )],[refute_0_708,refute_0_710]) ).
cnf(refute_0_712,plain,
asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))) = unit,
inference(subst,[],[refute_0_711:[bind(D,$fot(X_352)),bind(E,$fot(op_k(X_105,i(X_9)))),bind(X_489,$fot(i(X_105))),bind(X_490,$fot(X_9))]]) ).
cnf(refute_0_713,plain,
mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) = mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))),
introduced(tautology,[refl,[$fot(mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))))]]) ).
cnf(refute_0_714,plain,
( asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))) != unit
| mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) != mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))
| mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) = mult(op_t(X_352,op_k(X_105,i(X_9))),unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))),mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_715,plain,
( asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))) != unit
| mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) = mult(op_t(X_352,op_k(X_105,i(X_9))),unit) ),
inference(resolve,[$cnf( $equal(mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))),mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) = mult(op_t(X_352,op_k(X_105,i(X_9))),unit),
inference(resolve,[$cnf( $equal(asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))),unit) )],[refute_0_712,refute_0_715]) ).
cnf(refute_0_717,plain,
( mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) != mult(op_t(X_352,op_k(X_105,i(X_9))),unit)
| mult(op_t(X_352,op_k(X_105,i(X_9))),unit) != op_t(X_352,op_k(X_105,i(X_9)))
| mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) = op_t(X_352,op_k(X_105,i(X_9))) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))))),bind(Y,$fot(mult(op_t(X_352,op_k(X_105,i(X_9))),unit))),bind(Z,$fot(op_t(X_352,op_k(X_105,i(X_9)))))]]) ).
cnf(refute_0_718,plain,
( mult(op_t(X_352,op_k(X_105,i(X_9))),unit) != op_t(X_352,op_k(X_105,i(X_9)))
| mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) = op_t(X_352,op_k(X_105,i(X_9))) ),
inference(resolve,[$cnf( $equal(mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))),mult(op_t(X_352,op_k(X_105,i(X_9))),unit)) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) = op_t(X_352,op_k(X_105,i(X_9))),
inference(resolve,[$cnf( $equal(mult(op_t(X_352,op_k(X_105,i(X_9))),unit),op_t(X_352,op_k(X_105,i(X_9)))) )],[refute_0_707,refute_0_718]) ).
cnf(refute_0_720,plain,
( mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) != mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))
| mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))) != op_t(X_352,op_k(X_105,i(X_9)))
| mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) = op_t(X_352,op_k(X_105,i(X_9))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))),op_t(X_352,op_k(X_105,i(X_9)))) ),[0],$fot(mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))))]]) ).
cnf(refute_0_721,plain,
( mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) != mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))
| mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) = op_t(X_352,op_k(X_105,i(X_9))) ),
inference(resolve,[$cnf( $equal(mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9)))),op_t(X_352,op_k(X_105,i(X_9)))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))) = op_t(X_352,op_k(X_105,i(X_9))),
inference(resolve,[$cnf( $equal(mult(mult(op_k(i(X_105),X_9),X_352),op_k(X_105,i(X_9))),mult(op_t(X_352,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),X_352,op_k(X_105,i(X_9))))) )],[refute_0_706,refute_0_721]) ).
cnf(refute_0_723,plain,
mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) = op_t(X_23,op_k(X_172,i(X_173))),
inference(subst,[],[refute_0_722:[bind(X_105,$fot(X_172)),bind(X_352,$fot(X_23)),bind(X_9,$fot(X_173))]]) ).
cnf(refute_0_724,plain,
( mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))
| mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) != op_t(X_23,op_k(X_172,i(X_173)))
| op_t(X_23,op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))),mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))) ),[0],$fot(op_t(X_23,op_k(X_172,i(X_173))))]]) ).
cnf(refute_0_725,plain,
( mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))
| op_t(X_23,op_k(X_172,i(X_173))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) ),
inference(resolve,[$cnf( $equal(mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))),op_t(X_23,op_k(X_172,i(X_173)))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
mult(X_23,unit) = X_23,
inference(subst,[],[c02:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_727,plain,
op_k(X_489,op_k(X_105,i(X_9))) = asoc(i(op_k(X_105,i(X_9))),i(X_489),mult(X_489,op_k(X_105,i(X_9)))),
inference(subst,[],[refute_0_463:[bind(A,$fot(X_489)),bind(B,$fot(op_k(X_105,i(X_9))))]]) ).
cnf(refute_0_728,plain,
( i(op_k(X_105,i(X_9))) != op_k(i(X_105),X_9)
| op_k(X_489,op_k(X_105,i(X_9))) != asoc(i(op_k(X_105,i(X_9))),i(X_489),mult(X_489,op_k(X_105,i(X_9))))
| op_k(X_489,op_k(X_105,i(X_9))) = asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(X_489,op_k(X_105,i(X_9))),asoc(i(op_k(X_105,i(X_9))),i(X_489),mult(X_489,op_k(X_105,i(X_9))))) ),[1,0],$fot(op_k(i(X_105),X_9))]]) ).
cnf(refute_0_729,plain,
( op_k(X_489,op_k(X_105,i(X_9))) != asoc(i(op_k(X_105,i(X_9))),i(X_489),mult(X_489,op_k(X_105,i(X_9))))
| op_k(X_489,op_k(X_105,i(X_9))) = asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9)))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_105,i(X_9))),op_k(i(X_105),X_9)) )],[refute_0_692,refute_0_728]) ).
cnf(refute_0_730,plain,
op_k(X_489,op_k(X_105,i(X_9))) = asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9)))),
inference(resolve,[$cnf( $equal(op_k(X_489,op_k(X_105,i(X_9))),asoc(i(op_k(X_105,i(X_9))),i(X_489),mult(X_489,op_k(X_105,i(X_9))))) )],[refute_0_727,refute_0_729]) ).
cnf(refute_0_731,plain,
asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9)))) = unit,
inference(subst,[],[refute_0_711:[bind(D,$fot(i(X_489))),bind(E,$fot(mult(X_489,op_k(X_105,i(X_9))))),bind(X_489,$fot(i(X_105))),bind(X_490,$fot(X_9))]]) ).
cnf(refute_0_732,plain,
( asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9)))) != unit
| op_k(X_489,op_k(X_105,i(X_9))) != asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9))))
| op_k(X_489,op_k(X_105,i(X_9))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(op_k(X_489,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9))))) ),[1],$fot(unit)]]) ).
cnf(refute_0_733,plain,
( op_k(X_489,op_k(X_105,i(X_9))) != asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9))))
| op_k(X_489,op_k(X_105,i(X_9))) = unit ),
inference(resolve,[$cnf( $equal(asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9)))),unit) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
op_k(X_489,op_k(X_105,i(X_9))) = unit,
inference(resolve,[$cnf( $equal(op_k(X_489,op_k(X_105,i(X_9))),asoc(op_k(i(X_105),X_9),i(X_489),mult(X_489,op_k(X_105,i(X_9))))) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) = unit,
inference(subst,[],[refute_0_734:[bind(X_105,$fot(X_172)),bind(X_489,$fot(mult(op_k(i(X_172),X_173),X_23))),bind(X_9,$fot(X_173))]]) ).
cnf(refute_0_736,plain,
mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) = mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))),
introduced(tautology,[refl,[$fot(mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))))]]) ).
cnf(refute_0_737,plain,
( mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) != mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))
| op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) != unit
| mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) = mult(X_23,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))),mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_738,plain,
( op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) != unit
| mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) = mult(X_23,unit) ),
inference(resolve,[$cnf( $equal(mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))),mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) = mult(X_23,unit),
inference(resolve,[$cnf( $equal(op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))),unit) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
( mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) != mult(X_23,unit)
| mult(X_23,unit) != X_23
| mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) = X_23 ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))))),bind(Y,$fot(mult(X_23,unit))),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_741,plain,
( mult(X_23,unit) != X_23
| mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) = X_23 ),
inference(resolve,[$cnf( $equal(mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))),mult(X_23,unit)) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) = X_23,
inference(resolve,[$cnf( $equal(mult(X_23,unit),X_23) )],[refute_0_726,refute_0_741]) ).
cnf(refute_0_743,plain,
( mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))) != X_23
| op_t(X_23,op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))
| op_t(X_23,op_k(X_172,i(X_173))) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_23,op_k(X_172,i(X_173))),mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))) ),[1],$fot(X_23)]]) ).
cnf(refute_0_744,plain,
( op_t(X_23,op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))
| op_t(X_23,op_k(X_172,i(X_173))) = X_23 ),
inference(resolve,[$cnf( $equal(mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173)))),X_23) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
( mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))) != mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))
| op_t(X_23,op_k(X_172,i(X_173))) = X_23 ),
inference(resolve,[$cnf( $equal(op_t(X_23,op_k(X_172,i(X_173))),mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))) )],[refute_0_725,refute_0_744]) ).
cnf(refute_0_746,plain,
op_t(X_23,op_k(X_172,i(X_173))) = X_23,
inference(resolve,[$cnf( $equal(mult(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))),mult(X_23,op_k(mult(op_k(i(X_172),X_173),X_23),op_k(X_172,i(X_173))))) )],[refute_0_682,refute_0_745]) ).
cnf(refute_0_747,plain,
op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) = op_k(X_305,rd(X_304,X_305)),
inference(subst,[],[refute_0_746:[bind(X_172,$fot(X_304)),bind(X_173,$fot(mult(X_305,rd(X_304,X_305)))),bind(X_23,$fot(op_k(X_305,rd(X_304,X_305))))]]) ).
cnf(refute_0_748,plain,
( op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) != i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))
| op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) != op_k(X_305,rd(X_304,X_305))
| op_k(X_305,rd(X_304,X_305)) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))),i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))) ),[0],$fot(op_k(X_305,rd(X_304,X_305)))]]) ).
cnf(refute_0_749,plain,
( op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) != i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))
| op_k(X_305,rd(X_304,X_305)) = i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) ),
inference(resolve,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))),op_k(X_305,rd(X_304,X_305))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
rd(unit,op_k(rd(X_304,X_305),X_305)) = i(op_k(rd(X_304,X_305),X_305)),
inference(subst,[],[refute_0_54:[bind(A,$fot(op_k(rd(X_304,X_305),X_305)))]]) ).
cnf(refute_0_751,plain,
op_k(i(A),mult(X_66,rd(A,X_66))) = asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),mult(i(A),mult(X_66,rd(A,X_66)))),
inference(subst,[],[refute_0_463:[bind(A,$fot(i(A))),bind(B,$fot(mult(X_66,rd(A,X_66))))]]) ).
cnf(refute_0_752,plain,
( mult(i(A),mult(X_66,rd(A,X_66))) != op_k(X_66,rd(A,X_66))
| op_k(i(A),mult(X_66,rd(A,X_66))) != asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),mult(i(A),mult(X_66,rd(A,X_66))))
| op_k(i(A),mult(X_66,rd(A,X_66))) = asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(i(A),mult(X_66,rd(A,X_66))),asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),mult(i(A),mult(X_66,rd(A,X_66))))) ),[1,2],$fot(op_k(X_66,rd(A,X_66)))]]) ).
cnf(refute_0_753,plain,
( op_k(i(A),mult(X_66,rd(A,X_66))) != asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),mult(i(A),mult(X_66,rd(A,X_66))))
| op_k(i(A),mult(X_66,rd(A,X_66))) = asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66))) ),
inference(resolve,[$cnf( $equal(mult(i(A),mult(X_66,rd(A,X_66))),op_k(X_66,rd(A,X_66))) )],[refute_0_135,refute_0_752]) ).
cnf(refute_0_754,plain,
op_k(i(A),mult(X_66,rd(A,X_66))) = asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66))),
inference(resolve,[$cnf( $equal(op_k(i(A),mult(X_66,rd(A,X_66))),asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),mult(i(A),mult(X_66,rd(A,X_66))))) )],[refute_0_751,refute_0_753]) ).
cnf(refute_0_755,plain,
asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66))) = unit,
inference(subst,[],[refute_0_475:[bind(A,$fot(i(mult(X_66,rd(A,X_66))))),bind(B,$fot(i(i(A)))),bind(X_489,$fot(X_66)),bind(X_490,$fot(rd(A,X_66)))]]) ).
cnf(refute_0_756,plain,
( asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66))) != unit
| op_k(i(A),mult(X_66,rd(A,X_66))) != asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66)))
| op_k(i(A),mult(X_66,rd(A,X_66))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(op_k(i(A),mult(X_66,rd(A,X_66))),asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66)))) ),[1],$fot(unit)]]) ).
cnf(refute_0_757,plain,
( op_k(i(A),mult(X_66,rd(A,X_66))) != asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66)))
| op_k(i(A),mult(X_66,rd(A,X_66))) = unit ),
inference(resolve,[$cnf( $equal(asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66))),unit) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
op_k(i(A),mult(X_66,rd(A,X_66))) = unit,
inference(resolve,[$cnf( $equal(op_k(i(A),mult(X_66,rd(A,X_66))),asoc(i(mult(X_66,rd(A,X_66))),i(i(A)),op_k(X_66,rd(A,X_66)))) )],[refute_0_754,refute_0_757]) ).
cnf(refute_0_759,plain,
op_k(i(X_304),mult(X_305,rd(X_304,X_305))) = unit,
inference(subst,[],[refute_0_758:[bind(A,$fot(X_304)),bind(X_66,$fot(X_305))]]) ).
cnf(refute_0_760,plain,
rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) = rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)),
introduced(tautology,[refl,[$fot(rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)))]]) ).
cnf(refute_0_761,plain,
( op_k(i(X_304),mult(X_305,rd(X_304,X_305))) != unit
| rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) != rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305))
| rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) = rd(unit,op_k(rd(X_304,X_305),X_305)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)),rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305))) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_762,plain,
( op_k(i(X_304),mult(X_305,rd(X_304,X_305))) != unit
| rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) = rd(unit,op_k(rd(X_304,X_305),X_305)) ),
inference(resolve,[$cnf( $equal(rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)),rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) = rd(unit,op_k(rd(X_304,X_305),X_305)),
inference(resolve,[$cnf( $equal(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),unit) )],[refute_0_759,refute_0_762]) ).
cnf(refute_0_764,plain,
( rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) != rd(unit,op_k(rd(X_304,X_305),X_305))
| rd(unit,op_k(rd(X_304,X_305),X_305)) != i(op_k(rd(X_304,X_305),X_305))
| rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) = i(op_k(rd(X_304,X_305),X_305)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)))),bind(Y,$fot(rd(unit,op_k(rd(X_304,X_305),X_305)))),bind(Z,$fot(i(op_k(rd(X_304,X_305),X_305))))]]) ).
cnf(refute_0_765,plain,
( rd(unit,op_k(rd(X_304,X_305),X_305)) != i(op_k(rd(X_304,X_305),X_305))
| rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) = i(op_k(rd(X_304,X_305),X_305)) ),
inference(resolve,[$cnf( $equal(rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)),rd(unit,op_k(rd(X_304,X_305),X_305))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) = i(op_k(rd(X_304,X_305),X_305)),
inference(resolve,[$cnf( $equal(rd(unit,op_k(rd(X_304,X_305),X_305)),i(op_k(rd(X_304,X_305),X_305))) )],[refute_0_750,refute_0_765]) ).
cnf(refute_0_767,plain,
op_t(rd(i(B),X_69),B) = mult(i(B),mult(rd(i(B),X_69),B)),
inference(subst,[],[c14:[bind(A,$fot(rd(i(B),X_69)))]]) ).
cnf(refute_0_768,plain,
mult(rd(A,X_35),i(mult(rd(A,X_35),X_35))) = i(X_35),
inference(subst,[],[refute_0_107:[bind(X_11,$fot(rd(A,X_35))),bind(X_31,$fot(X_35))]]) ).
cnf(refute_0_769,plain,
mult(rd(A,X_35),X_35) = A,
inference(subst,[],[c08:[bind(B,$fot(X_35))]]) ).
cnf(refute_0_770,plain,
( mult(rd(A,X_35),X_35) != A
| mult(rd(A,X_35),i(mult(rd(A,X_35),X_35))) != i(X_35)
| mult(rd(A,X_35),i(A)) = i(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,X_35),i(mult(rd(A,X_35),X_35))),i(X_35)) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_771,plain,
( mult(rd(A,X_35),i(mult(rd(A,X_35),X_35))) != i(X_35)
| mult(rd(A,X_35),i(A)) = i(X_35) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_35),X_35),A) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
mult(rd(A,X_35),i(A)) = i(X_35),
inference(resolve,[$cnf( $equal(mult(rd(A,X_35),i(mult(rd(A,X_35),X_35))),i(X_35)) )],[refute_0_768,refute_0_771]) ).
cnf(refute_0_773,plain,
mult(rd(i(X_9),X_46),i(i(X_9))) = i(X_46),
inference(subst,[],[refute_0_772:[bind(A,$fot(i(X_9))),bind(X_35,$fot(X_46))]]) ).
cnf(refute_0_774,plain,
( i(i(X_9)) != X_9
| mult(rd(i(X_9),X_46),i(i(X_9))) != i(X_46)
| mult(rd(i(X_9),X_46),X_9) = i(X_46) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(i(X_9),X_46),i(i(X_9))),i(X_46)) ),[0,1],$fot(X_9)]]) ).
cnf(refute_0_775,plain,
( mult(rd(i(X_9),X_46),i(i(X_9))) != i(X_46)
| mult(rd(i(X_9),X_46),X_9) = i(X_46) ),
inference(resolve,[$cnf( $equal(i(i(X_9)),X_9) )],[refute_0_64,refute_0_774]) ).
cnf(refute_0_776,plain,
mult(rd(i(X_9),X_46),X_9) = i(X_46),
inference(resolve,[$cnf( $equal(mult(rd(i(X_9),X_46),i(i(X_9))),i(X_46)) )],[refute_0_773,refute_0_775]) ).
cnf(refute_0_777,plain,
mult(rd(i(B),X_69),B) = i(X_69),
inference(subst,[],[refute_0_776:[bind(X_46,$fot(X_69)),bind(X_9,$fot(B))]]) ).
cnf(refute_0_778,plain,
( mult(rd(i(B),X_69),B) != i(X_69)
| op_t(rd(i(B),X_69),B) != mult(i(B),mult(rd(i(B),X_69),B))
| op_t(rd(i(B),X_69),B) = mult(i(B),i(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(rd(i(B),X_69),B),mult(i(B),mult(rd(i(B),X_69),B))) ),[1,1],$fot(i(X_69))]]) ).
cnf(refute_0_779,plain,
( op_t(rd(i(B),X_69),B) != mult(i(B),mult(rd(i(B),X_69),B))
| op_t(rd(i(B),X_69),B) = mult(i(B),i(X_69)) ),
inference(resolve,[$cnf( $equal(mult(rd(i(B),X_69),B),i(X_69)) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
op_t(rd(i(B),X_69),B) = mult(i(B),i(X_69)),
inference(resolve,[$cnf( $equal(op_t(rd(i(B),X_69),B),mult(i(B),mult(rd(i(B),X_69),B))) )],[refute_0_767,refute_0_779]) ).
cnf(refute_0_781,plain,
mult(i(B),i(X_69)) = i(mult(B,X_69)),
inference(subst,[],[refute_0_424:[bind(A,$fot(B)),bind(B,$fot(X_69))]]) ).
cnf(refute_0_782,plain,
( mult(i(B),i(X_69)) != i(mult(B,X_69))
| op_t(rd(i(B),X_69),B) != mult(i(B),i(X_69))
| op_t(rd(i(B),X_69),B) = i(mult(B,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(rd(i(B),X_69),B),mult(i(B),i(X_69))) ),[1],$fot(i(mult(B,X_69)))]]) ).
cnf(refute_0_783,plain,
( op_t(rd(i(B),X_69),B) != mult(i(B),i(X_69))
| op_t(rd(i(B),X_69),B) = i(mult(B,X_69)) ),
inference(resolve,[$cnf( $equal(mult(i(B),i(X_69)),i(mult(B,X_69))) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
op_t(rd(i(B),X_69),B) = i(mult(B,X_69)),
inference(resolve,[$cnf( $equal(op_t(rd(i(B),X_69),B),mult(i(B),i(X_69))) )],[refute_0_780,refute_0_783]) ).
cnf(refute_0_785,plain,
op_t(rd(i(op_k(X_105,i(X_9))),X_259),op_k(X_105,i(X_9))) = i(mult(op_k(X_105,i(X_9)),X_259)),
inference(subst,[],[refute_0_784:[bind(B,$fot(op_k(X_105,i(X_9)))),bind(X_69,$fot(X_259))]]) ).
cnf(refute_0_786,plain,
( i(op_k(X_105,i(X_9))) != op_k(i(X_105),X_9)
| op_t(rd(i(op_k(X_105,i(X_9))),X_259),op_k(X_105,i(X_9))) != i(mult(op_k(X_105,i(X_9)),X_259))
| op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))) = i(mult(op_k(X_105,i(X_9)),X_259)) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(rd(i(op_k(X_105,i(X_9))),X_259),op_k(X_105,i(X_9))),i(mult(op_k(X_105,i(X_9)),X_259))) ),[0,0,0],$fot(op_k(i(X_105),X_9))]]) ).
cnf(refute_0_787,plain,
( op_t(rd(i(op_k(X_105,i(X_9))),X_259),op_k(X_105,i(X_9))) != i(mult(op_k(X_105,i(X_9)),X_259))
| op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))) = i(mult(op_k(X_105,i(X_9)),X_259)) ),
inference(resolve,[$cnf( $equal(i(op_k(X_105,i(X_9))),op_k(i(X_105),X_9)) )],[refute_0_692,refute_0_786]) ).
cnf(refute_0_788,plain,
op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))) = i(mult(op_k(X_105,i(X_9)),X_259)),
inference(resolve,[$cnf( $equal(op_t(rd(i(op_k(X_105,i(X_9))),X_259),op_k(X_105,i(X_9))),i(mult(op_k(X_105,i(X_9)),X_259))) )],[refute_0_785,refute_0_787]) ).
cnf(refute_0_789,plain,
op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))) = rd(op_k(i(X_105),X_9),X_259),
inference(subst,[],[refute_0_746:[bind(X_172,$fot(X_105)),bind(X_173,$fot(X_9)),bind(X_23,$fot(rd(op_k(i(X_105),X_9),X_259)))]]) ).
cnf(refute_0_790,plain,
( op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))) != i(mult(op_k(X_105,i(X_9)),X_259))
| op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))) != rd(op_k(i(X_105),X_9),X_259)
| rd(op_k(i(X_105),X_9),X_259) = i(mult(op_k(X_105,i(X_9)),X_259)) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))),i(mult(op_k(X_105,i(X_9)),X_259))) ),[0],$fot(rd(op_k(i(X_105),X_9),X_259))]]) ).
cnf(refute_0_791,plain,
( op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))) != i(mult(op_k(X_105,i(X_9)),X_259))
| rd(op_k(i(X_105),X_9),X_259) = i(mult(op_k(X_105,i(X_9)),X_259)) ),
inference(resolve,[$cnf( $equal(op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))),rd(op_k(i(X_105),X_9),X_259)) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
rd(op_k(i(X_105),X_9),X_259) = i(mult(op_k(X_105,i(X_9)),X_259)),
inference(resolve,[$cnf( $equal(op_t(rd(op_k(i(X_105),X_9),X_259),op_k(X_105,i(X_9))),i(mult(op_k(X_105,i(X_9)),X_259))) )],[refute_0_788,refute_0_791]) ).
cnf(refute_0_793,plain,
( rd(op_k(i(X_105),X_9),X_259) != i(mult(op_k(X_105,i(X_9)),X_259))
| i(mult(op_k(X_105,i(X_9)),X_259)) = rd(op_k(i(X_105),X_9),X_259) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(rd(op_k(i(X_105),X_9),X_259))),bind(Y,$fot(i(mult(op_k(X_105,i(X_9)),X_259))))]]) ).
cnf(refute_0_794,plain,
i(mult(op_k(X_105,i(X_9)),X_259)) = rd(op_k(i(X_105),X_9),X_259),
inference(resolve,[$cnf( $equal(rd(op_k(i(X_105),X_9),X_259),i(mult(op_k(X_105,i(X_9)),X_259))) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) = rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)),
inference(subst,[],[refute_0_794:[bind(X_105,$fot(X_304)),bind(X_259,$fot(op_k(rd(X_304,X_305),X_305))),bind(X_9,$fot(mult(X_305,rd(X_304,X_305))))]]) ).
cnf(refute_0_796,plain,
( i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) != rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305))
| rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) != i(op_k(rd(X_304,X_305),X_305))
| i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) = i(op_k(rd(X_304,X_305),X_305)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))))),bind(Y,$fot(rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)))),bind(Z,$fot(i(op_k(rd(X_304,X_305),X_305))))]]) ).
cnf(refute_0_797,plain,
( rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)) != i(op_k(rd(X_304,X_305),X_305))
| i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) = i(op_k(rd(X_304,X_305),X_305)) ),
inference(resolve,[$cnf( $equal(i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))),rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) = i(op_k(rd(X_304,X_305),X_305)),
inference(resolve,[$cnf( $equal(rd(op_k(i(X_304),mult(X_305,rd(X_304,X_305))),op_k(rd(X_304,X_305),X_305)),i(op_k(rd(X_304,X_305),X_305))) )],[refute_0_766,refute_0_797]) ).
cnf(refute_0_799,plain,
( i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))) != i(op_k(rd(X_304,X_305),X_305))
| op_k(X_305,rd(X_304,X_305)) != i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))
| op_k(X_305,rd(X_304,X_305)) = i(op_k(rd(X_304,X_305),X_305)) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(X_305,rd(X_304,X_305)),i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))) ),[1],$fot(i(op_k(rd(X_304,X_305),X_305)))]]) ).
cnf(refute_0_800,plain,
( op_k(X_305,rd(X_304,X_305)) != i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))
| op_k(X_305,rd(X_304,X_305)) = i(op_k(rd(X_304,X_305),X_305)) ),
inference(resolve,[$cnf( $equal(i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305))),i(op_k(rd(X_304,X_305),X_305))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
( op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))) != i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))
| op_k(X_305,rd(X_304,X_305)) = i(op_k(rd(X_304,X_305),X_305)) ),
inference(resolve,[$cnf( $equal(op_k(X_305,rd(X_304,X_305)),i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))) )],[refute_0_749,refute_0_800]) ).
cnf(refute_0_802,plain,
op_k(X_305,rd(X_304,X_305)) = i(op_k(rd(X_304,X_305),X_305)),
inference(resolve,[$cnf( $equal(op_t(op_k(X_305,rd(X_304,X_305)),op_k(X_304,i(mult(X_305,rd(X_304,X_305))))),i(mult(op_k(X_304,i(mult(X_305,rd(X_304,X_305)))),op_k(rd(X_304,X_305),X_305)))) )],[refute_0_655,refute_0_801]) ).
cnf(refute_0_803,plain,
( op_k(X_305,rd(X_304,X_305)) != i(op_k(rd(X_304,X_305),X_305))
| i(op_k(rd(X_304,X_305),X_305)) = op_k(X_305,rd(X_304,X_305)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_k(X_305,rd(X_304,X_305)))),bind(Y,$fot(i(op_k(rd(X_304,X_305),X_305))))]]) ).
cnf(refute_0_804,plain,
i(op_k(rd(X_304,X_305),X_305)) = op_k(X_305,rd(X_304,X_305)),
inference(resolve,[$cnf( $equal(op_k(X_305,rd(X_304,X_305)),i(op_k(rd(X_304,X_305),X_305))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
i(op_k(rd(A,X_106),X_106)) = op_k(X_106,rd(A,X_106)),
inference(subst,[],[refute_0_804:[bind(X_304,$fot(A)),bind(X_305,$fot(X_106))]]) ).
cnf(refute_0_806,plain,
( i(op_k(rd(A,X_106),X_106)) != op_k(X_106,rd(A,X_106))
| mult(mult(X_106,rd(A,X_106)),i(A)) != i(op_k(rd(A,X_106),X_106))
| mult(mult(X_106,rd(A,X_106)),i(A)) = op_k(X_106,rd(A,X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_106,rd(A,X_106)),i(A)),i(op_k(rd(A,X_106),X_106))) ),[1],$fot(op_k(X_106,rd(A,X_106)))]]) ).
cnf(refute_0_807,plain,
( mult(mult(X_106,rd(A,X_106)),i(A)) != i(op_k(rd(A,X_106),X_106))
| mult(mult(X_106,rd(A,X_106)),i(A)) = op_k(X_106,rd(A,X_106)) ),
inference(resolve,[$cnf( $equal(i(op_k(rd(A,X_106),X_106)),op_k(X_106,rd(A,X_106))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
mult(mult(X_106,rd(A,X_106)),i(A)) = op_k(X_106,rd(A,X_106)),
inference(resolve,[$cnf( $equal(mult(mult(X_106,rd(A,X_106)),i(A)),i(op_k(rd(A,X_106),X_106))) )],[refute_0_118,refute_0_807]) ).
cnf(refute_0_809,plain,
mult(mult(X_494,rd(mult(A,X_494),X_494)),i(mult(A,X_494))) = op_k(X_494,rd(mult(A,X_494),X_494)),
inference(subst,[],[refute_0_808:[bind(A,$fot(mult(A,X_494))),bind(X_106,$fot(X_494))]]) ).
cnf(refute_0_810,plain,
rd(mult(A,X_494),X_494) = A,
inference(subst,[],[c07:[bind(B,$fot(X_494))]]) ).
cnf(refute_0_811,plain,
( mult(mult(X_494,rd(mult(A,X_494),X_494)),i(mult(A,X_494))) != op_k(X_494,rd(mult(A,X_494),X_494))
| rd(mult(A,X_494),X_494) != A
| mult(mult(X_494,A),i(mult(A,X_494))) = op_k(X_494,rd(mult(A,X_494),X_494)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_494,rd(mult(A,X_494),X_494)),i(mult(A,X_494))),op_k(X_494,rd(mult(A,X_494),X_494))) ),[0,0,1],$fot(A)]]) ).
cnf(refute_0_812,plain,
( mult(mult(X_494,rd(mult(A,X_494),X_494)),i(mult(A,X_494))) != op_k(X_494,rd(mult(A,X_494),X_494))
| mult(mult(X_494,A),i(mult(A,X_494))) = op_k(X_494,rd(mult(A,X_494),X_494)) ),
inference(resolve,[$cnf( $equal(rd(mult(A,X_494),X_494),A) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
mult(mult(X_494,A),i(mult(A,X_494))) = op_k(X_494,rd(mult(A,X_494),X_494)),
inference(resolve,[$cnf( $equal(mult(mult(X_494,rd(mult(A,X_494),X_494)),i(mult(A,X_494))),op_k(X_494,rd(mult(A,X_494),X_494))) )],[refute_0_809,refute_0_812]) ).
cnf(refute_0_814,plain,
mult(mult(X_494,A),i(mult(A,X_494))) = i(op_k(A,X_494)),
inference(subst,[],[refute_0_113:[bind(B,$fot(X_494))]]) ).
cnf(refute_0_815,plain,
( mult(mult(X_494,A),i(mult(A,X_494))) != i(op_k(A,X_494))
| mult(mult(X_494,A),i(mult(A,X_494))) != op_k(X_494,rd(mult(A,X_494),X_494))
| i(op_k(A,X_494)) = op_k(X_494,rd(mult(A,X_494),X_494)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_494,A),i(mult(A,X_494))),op_k(X_494,rd(mult(A,X_494),X_494))) ),[0],$fot(i(op_k(A,X_494)))]]) ).
cnf(refute_0_816,plain,
( mult(mult(X_494,A),i(mult(A,X_494))) != op_k(X_494,rd(mult(A,X_494),X_494))
| i(op_k(A,X_494)) = op_k(X_494,rd(mult(A,X_494),X_494)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_494,A),i(mult(A,X_494))),i(op_k(A,X_494))) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
op_k(X_494,rd(mult(A,X_494),X_494)) = op_k(X_494,rd(mult(A,X_494),X_494)),
introduced(tautology,[refl,[$fot(op_k(X_494,rd(mult(A,X_494),X_494)))]]) ).
cnf(refute_0_818,plain,
( op_k(X_494,rd(mult(A,X_494),X_494)) != op_k(X_494,rd(mult(A,X_494),X_494))
| rd(mult(A,X_494),X_494) != A
| op_k(X_494,rd(mult(A,X_494),X_494)) = op_k(X_494,A) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(X_494,rd(mult(A,X_494),X_494)),op_k(X_494,rd(mult(A,X_494),X_494))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_819,plain,
( rd(mult(A,X_494),X_494) != A
| op_k(X_494,rd(mult(A,X_494),X_494)) = op_k(X_494,A) ),
inference(resolve,[$cnf( $equal(op_k(X_494,rd(mult(A,X_494),X_494)),op_k(X_494,rd(mult(A,X_494),X_494))) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
op_k(X_494,rd(mult(A,X_494),X_494)) = op_k(X_494,A),
inference(resolve,[$cnf( $equal(rd(mult(A,X_494),X_494),A) )],[refute_0_810,refute_0_819]) ).
cnf(refute_0_821,plain,
( i(op_k(A,X_494)) != op_k(X_494,rd(mult(A,X_494),X_494))
| op_k(X_494,rd(mult(A,X_494),X_494)) != op_k(X_494,A)
| i(op_k(A,X_494)) = op_k(X_494,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(i(op_k(A,X_494)),op_k(X_494,A)) ),[0],$fot(op_k(X_494,rd(mult(A,X_494),X_494)))]]) ).
cnf(refute_0_822,plain,
( i(op_k(A,X_494)) != op_k(X_494,rd(mult(A,X_494),X_494))
| i(op_k(A,X_494)) = op_k(X_494,A) ),
inference(resolve,[$cnf( $equal(op_k(X_494,rd(mult(A,X_494),X_494)),op_k(X_494,A)) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
( mult(mult(X_494,A),i(mult(A,X_494))) != op_k(X_494,rd(mult(A,X_494),X_494))
| i(op_k(A,X_494)) = op_k(X_494,A) ),
inference(resolve,[$cnf( $equal(i(op_k(A,X_494)),op_k(X_494,rd(mult(A,X_494),X_494))) )],[refute_0_816,refute_0_822]) ).
cnf(refute_0_824,plain,
i(op_k(A,X_494)) = op_k(X_494,A),
inference(resolve,[$cnf( $equal(mult(mult(X_494,A),i(mult(A,X_494))),op_k(X_494,rd(mult(A,X_494),X_494))) )],[refute_0_813,refute_0_823]) ).
cnf(refute_0_825,plain,
i(op_k(X_495,X_496)) = op_k(X_496,X_495),
inference(subst,[],[refute_0_824:[bind(A,$fot(X_495)),bind(X_494,$fot(X_496))]]) ).
cnf(refute_0_826,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| mult(rd(i(op_k(X_495,X_496)),X_165),rd(op_k(X_495,X_496),i(X_165))) != unit
| mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(i(op_k(X_495,X_496)),X_165),rd(op_k(X_495,X_496),i(X_165))),unit) ),[0,0,0],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_827,plain,
( mult(rd(i(op_k(X_495,X_496)),X_165),rd(op_k(X_495,X_496),i(X_165))) != unit
| mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = unit ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = unit,
inference(resolve,[$cnf( $equal(mult(rd(i(op_k(X_495,X_496)),X_165),rd(op_k(X_495,X_496),i(X_165))),unit) )],[refute_0_84,refute_0_827]) ).
cnf(refute_0_829,plain,
mult(mult(i(X_16),op_k(X_495,X_496)),mult(i(op_k(X_495,X_496)),X_16)) = op_k(i(op_k(X_495,X_496)),X_16),
inference(subst,[],[refute_0_216:[bind(X_98,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_830,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(i(op_k(X_495,X_496)),X_16)) != op_k(i(op_k(X_495,X_496)),X_16)
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = op_k(i(op_k(X_495,X_496)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(i(op_k(X_495,X_496)),X_16)),op_k(i(op_k(X_495,X_496)),X_16)) ),[0,1,0],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_831,plain,
( mult(mult(i(X_16),op_k(X_495,X_496)),mult(i(op_k(X_495,X_496)),X_16)) != op_k(i(op_k(X_495,X_496)),X_16)
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = op_k(i(op_k(X_495,X_496)),X_16) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_830]) ).
cnf(refute_0_832,plain,
mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = op_k(i(op_k(X_495,X_496)),X_16),
inference(resolve,[$cnf( $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(i(op_k(X_495,X_496)),X_16)),op_k(i(op_k(X_495,X_496)),X_16)) )],[refute_0_829,refute_0_831]) ).
cnf(refute_0_833,plain,
op_k(i(op_k(X_495,X_496)),X_16) = op_k(i(op_k(X_495,X_496)),X_16),
introduced(tautology,[refl,[$fot(op_k(i(op_k(X_495,X_496)),X_16))]]) ).
cnf(refute_0_834,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| op_k(i(op_k(X_495,X_496)),X_16) != op_k(i(op_k(X_495,X_496)),X_16)
| op_k(i(op_k(X_495,X_496)),X_16) = op_k(op_k(X_496,X_495),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(i(op_k(X_495,X_496)),X_16),op_k(i(op_k(X_495,X_496)),X_16)) ),[1,0],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_835,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| op_k(i(op_k(X_495,X_496)),X_16) = op_k(op_k(X_496,X_495),X_16) ),
inference(resolve,[$cnf( $equal(op_k(i(op_k(X_495,X_496)),X_16),op_k(i(op_k(X_495,X_496)),X_16)) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
op_k(i(op_k(X_495,X_496)),X_16) = op_k(op_k(X_496,X_495),X_16),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_835]) ).
cnf(refute_0_837,plain,
( mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) != op_k(i(op_k(X_495,X_496)),X_16)
| op_k(i(op_k(X_495,X_496)),X_16) != op_k(op_k(X_496,X_495),X_16)
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = op_k(op_k(X_496,X_495),X_16) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)),op_k(op_k(X_496,X_495),X_16)) ),[0],$fot(op_k(i(op_k(X_495,X_496)),X_16))]]) ).
cnf(refute_0_838,plain,
( mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) != op_k(i(op_k(X_495,X_496)),X_16)
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = op_k(op_k(X_496,X_495),X_16) ),
inference(resolve,[$cnf( $equal(op_k(i(op_k(X_495,X_496)),X_16),op_k(op_k(X_496,X_495),X_16)) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = op_k(op_k(X_496,X_495),X_16),
inference(resolve,[$cnf( $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)),op_k(i(op_k(X_495,X_496)),X_16)) )],[refute_0_832,refute_0_838]) ).
cnf(refute_0_840,plain,
rd(mult(X_36,X_37),mult(i(X_37),mult(X_36,X_37))) = i(i(X_37)),
inference(subst,[],[refute_0_24:[bind(A,$fot(i(X_37))),bind(B,$fot(mult(X_36,X_37)))]]) ).
cnf(refute_0_841,plain,
( mult(i(X_37),mult(X_36,X_37)) != op_t(X_36,X_37)
| rd(mult(X_36,X_37),mult(i(X_37),mult(X_36,X_37))) != i(i(X_37))
| rd(mult(X_36,X_37),op_t(X_36,X_37)) = i(i(X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_36,X_37),mult(i(X_37),mult(X_36,X_37))),i(i(X_37))) ),[0,1],$fot(op_t(X_36,X_37))]]) ).
cnf(refute_0_842,plain,
( rd(mult(X_36,X_37),mult(i(X_37),mult(X_36,X_37))) != i(i(X_37))
| rd(mult(X_36,X_37),op_t(X_36,X_37)) = i(i(X_37)) ),
inference(resolve,[$cnf( $equal(mult(i(X_37),mult(X_36,X_37)),op_t(X_36,X_37)) )],[refute_0_491,refute_0_841]) ).
cnf(refute_0_843,plain,
rd(mult(X_36,X_37),op_t(X_36,X_37)) = i(i(X_37)),
inference(resolve,[$cnf( $equal(rd(mult(X_36,X_37),mult(i(X_37),mult(X_36,X_37))),i(i(X_37))) )],[refute_0_840,refute_0_842]) ).
cnf(refute_0_844,plain,
i(i(X_37)) = X_37,
inference(subst,[],[refute_0_64:[bind(X_9,$fot(X_37))]]) ).
cnf(refute_0_845,plain,
( i(i(X_37)) != X_37
| rd(mult(X_36,X_37),op_t(X_36,X_37)) != i(i(X_37))
| rd(mult(X_36,X_37),op_t(X_36,X_37)) = X_37 ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_36,X_37),op_t(X_36,X_37)),i(i(X_37))) ),[1],$fot(X_37)]]) ).
cnf(refute_0_846,plain,
( rd(mult(X_36,X_37),op_t(X_36,X_37)) != i(i(X_37))
| rd(mult(X_36,X_37),op_t(X_36,X_37)) = X_37 ),
inference(resolve,[$cnf( $equal(i(i(X_37)),X_37) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
rd(mult(X_36,X_37),op_t(X_36,X_37)) = X_37,
inference(resolve,[$cnf( $equal(rd(mult(X_36,X_37),op_t(X_36,X_37)),i(i(X_37))) )],[refute_0_843,refute_0_846]) ).
cnf(refute_0_848,plain,
rd(mult(X_36,mult(i(X_36),X_127)),op_t(X_36,mult(i(X_36),X_127))) = mult(i(X_36),X_127),
inference(subst,[],[refute_0_847:[bind(X_37,$fot(mult(i(X_36),X_127)))]]) ).
cnf(refute_0_849,plain,
op_t(X_36,mult(i(X_36),X_127)) = op_r(X_36,i(X_127),X_127),
inference(subst,[],[refute_0_530:[bind(B,$fot(X_127))]]) ).
cnf(refute_0_850,plain,
( op_t(X_36,mult(i(X_36),X_127)) != op_r(X_36,i(X_127),X_127)
| rd(mult(X_36,mult(i(X_36),X_127)),op_t(X_36,mult(i(X_36),X_127))) != mult(i(X_36),X_127)
| rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) = mult(i(X_36),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_36,mult(i(X_36),X_127)),op_t(X_36,mult(i(X_36),X_127))),mult(i(X_36),X_127)) ),[0,1],$fot(op_r(X_36,i(X_127),X_127))]]) ).
cnf(refute_0_851,plain,
( rd(mult(X_36,mult(i(X_36),X_127)),op_t(X_36,mult(i(X_36),X_127))) != mult(i(X_36),X_127)
| rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) = mult(i(X_36),X_127) ),
inference(resolve,[$cnf( $equal(op_t(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) = mult(i(X_36),X_127),
inference(resolve,[$cnf( $equal(rd(mult(X_36,mult(i(X_36),X_127)),op_t(X_36,mult(i(X_36),X_127))),mult(i(X_36),X_127)) )],[refute_0_848,refute_0_851]) ).
cnf(refute_0_853,plain,
mult(X_36,mult(i(X_36),X_127)) = X_127,
inference(subst,[],[refute_0_100:[bind(B,$fot(X_127)),bind(X_11,$fot(X_36))]]) ).
cnf(refute_0_854,plain,
rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) = rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)),
introduced(tautology,[refl,[$fot(rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)))]]) ).
cnf(refute_0_855,plain,
( mult(X_36,mult(i(X_36),X_127)) != X_127
| rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) != rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127))
| rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) = rd(X_127,op_r(X_36,i(X_127),X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)),rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127))) ),[1,0],$fot(X_127)]]) ).
cnf(refute_0_856,plain,
( mult(X_36,mult(i(X_36),X_127)) != X_127
| rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) = rd(X_127,op_r(X_36,i(X_127),X_127)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)),rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) = rd(X_127,op_r(X_36,i(X_127),X_127)),
inference(resolve,[$cnf( $equal(mult(X_36,mult(i(X_36),X_127)),X_127) )],[refute_0_853,refute_0_856]) ).
cnf(refute_0_858,plain,
( rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) != mult(i(X_36),X_127)
| rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) != rd(X_127,op_r(X_36,i(X_127),X_127))
| rd(X_127,op_r(X_36,i(X_127),X_127)) = mult(i(X_36),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)),mult(i(X_36),X_127)) ),[0],$fot(rd(X_127,op_r(X_36,i(X_127),X_127)))]]) ).
cnf(refute_0_859,plain,
( rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)) != mult(i(X_36),X_127)
| rd(X_127,op_r(X_36,i(X_127),X_127)) = mult(i(X_36),X_127) ),
inference(resolve,[$cnf( $equal(rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)),rd(X_127,op_r(X_36,i(X_127),X_127))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
rd(X_127,op_r(X_36,i(X_127),X_127)) = mult(i(X_36),X_127),
inference(resolve,[$cnf( $equal(rd(mult(X_36,mult(i(X_36),X_127)),op_r(X_36,i(X_127),X_127)),mult(i(X_36),X_127)) )],[refute_0_852,refute_0_859]) ).
cnf(refute_0_861,plain,
rd(op_k(X_495,X_496),op_r(X_36,i(op_k(X_495,X_496)),op_k(X_495,X_496))) = mult(i(X_36),op_k(X_495,X_496)),
inference(subst,[],[refute_0_860:[bind(X_127,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_862,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| rd(op_k(X_495,X_496),op_r(X_36,i(op_k(X_495,X_496)),op_k(X_495,X_496))) != mult(i(X_36),op_k(X_495,X_496))
| rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) = mult(i(X_36),op_k(X_495,X_496)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(X_495,X_496),op_r(X_36,i(op_k(X_495,X_496)),op_k(X_495,X_496))),mult(i(X_36),op_k(X_495,X_496))) ),[0,1,1],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_863,plain,
( rd(op_k(X_495,X_496),op_r(X_36,i(op_k(X_495,X_496)),op_k(X_495,X_496))) != mult(i(X_36),op_k(X_495,X_496))
| rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) = mult(i(X_36),op_k(X_495,X_496)) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_862]) ).
cnf(refute_0_864,plain,
rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) = mult(i(X_36),op_k(X_495,X_496)),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),op_r(X_36,i(op_k(X_495,X_496)),op_k(X_495,X_496))),mult(i(X_36),op_k(X_495,X_496))) )],[refute_0_861,refute_0_863]) ).
cnf(refute_0_865,plain,
mult(mult(X_210,X_211),i(X_211)) = mult(mult(X_210,mult(X_211,i(X_211))),asoc(X_210,X_211,i(X_211))),
inference(subst,[],[c10:[bind(A,$fot(X_210)),bind(B,$fot(X_211)),bind(C,$fot(i(X_211)))]]) ).
cnf(refute_0_866,plain,
mult(X_211,i(X_211)) = unit,
inference(subst,[],[c03:[bind(A,$fot(X_211))]]) ).
cnf(refute_0_867,plain,
( mult(X_211,i(X_211)) != unit
| mult(mult(X_210,X_211),i(X_211)) != mult(mult(X_210,mult(X_211,i(X_211))),asoc(X_210,X_211,i(X_211)))
| mult(mult(X_210,X_211),i(X_211)) = mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_210,X_211),i(X_211)),mult(mult(X_210,mult(X_211,i(X_211))),asoc(X_210,X_211,i(X_211)))) ),[1,0,1],$fot(unit)]]) ).
cnf(refute_0_868,plain,
( mult(mult(X_210,X_211),i(X_211)) != mult(mult(X_210,mult(X_211,i(X_211))),asoc(X_210,X_211,i(X_211)))
| mult(mult(X_210,X_211),i(X_211)) = mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) ),
inference(resolve,[$cnf( $equal(mult(X_211,i(X_211)),unit) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
mult(mult(X_210,X_211),i(X_211)) = mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))),
inference(resolve,[$cnf( $equal(mult(mult(X_210,X_211),i(X_211)),mult(mult(X_210,mult(X_211,i(X_211))),asoc(X_210,X_211,i(X_211)))) )],[refute_0_865,refute_0_868]) ).
cnf(refute_0_870,plain,
op_r(X_88,X_89,i(X_89)) = rd(mult(mult(X_88,X_89),i(X_89)),mult(X_89,i(X_89))),
inference(subst,[],[c13:[bind(A,$fot(X_88)),bind(B,$fot(X_89)),bind(C,$fot(i(X_89)))]]) ).
cnf(refute_0_871,plain,
mult(X_89,i(X_89)) = unit,
inference(subst,[],[c03:[bind(A,$fot(X_89))]]) ).
cnf(refute_0_872,plain,
( mult(X_89,i(X_89)) != unit
| op_r(X_88,X_89,i(X_89)) != rd(mult(mult(X_88,X_89),i(X_89)),mult(X_89,i(X_89)))
| op_r(X_88,X_89,i(X_89)) = rd(mult(mult(X_88,X_89),i(X_89)),unit) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_88,X_89,i(X_89)),rd(mult(mult(X_88,X_89),i(X_89)),mult(X_89,i(X_89)))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_873,plain,
( op_r(X_88,X_89,i(X_89)) != rd(mult(mult(X_88,X_89),i(X_89)),mult(X_89,i(X_89)))
| op_r(X_88,X_89,i(X_89)) = rd(mult(mult(X_88,X_89),i(X_89)),unit) ),
inference(resolve,[$cnf( $equal(mult(X_89,i(X_89)),unit) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
op_r(X_88,X_89,i(X_89)) = rd(mult(mult(X_88,X_89),i(X_89)),unit),
inference(resolve,[$cnf( $equal(op_r(X_88,X_89,i(X_89)),rd(mult(mult(X_88,X_89),i(X_89)),mult(X_89,i(X_89)))) )],[refute_0_870,refute_0_873]) ).
cnf(refute_0_875,plain,
rd(mult(mult(X_88,X_89),i(X_89)),unit) = mult(mult(X_88,X_89),i(X_89)),
inference(subst,[],[refute_0_520:[bind(X_6,$fot(mult(mult(X_88,X_89),i(X_89))))]]) ).
cnf(refute_0_876,plain,
( op_r(X_88,X_89,i(X_89)) != rd(mult(mult(X_88,X_89),i(X_89)),unit)
| rd(mult(mult(X_88,X_89),i(X_89)),unit) != mult(mult(X_88,X_89),i(X_89))
| op_r(X_88,X_89,i(X_89)) = mult(mult(X_88,X_89),i(X_89)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op_r(X_88,X_89,i(X_89)),mult(mult(X_88,X_89),i(X_89))) ),[0],$fot(rd(mult(mult(X_88,X_89),i(X_89)),unit))]]) ).
cnf(refute_0_877,plain,
( op_r(X_88,X_89,i(X_89)) != rd(mult(mult(X_88,X_89),i(X_89)),unit)
| op_r(X_88,X_89,i(X_89)) = mult(mult(X_88,X_89),i(X_89)) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_88,X_89),i(X_89)),unit),mult(mult(X_88,X_89),i(X_89))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
op_r(X_88,X_89,i(X_89)) = mult(mult(X_88,X_89),i(X_89)),
inference(resolve,[$cnf( $equal(op_r(X_88,X_89,i(X_89)),rd(mult(mult(X_88,X_89),i(X_89)),unit)) )],[refute_0_874,refute_0_877]) ).
cnf(refute_0_879,plain,
( op_r(X_88,X_89,i(X_89)) != mult(mult(X_88,X_89),i(X_89))
| mult(mult(X_88,X_89),i(X_89)) = op_r(X_88,X_89,i(X_89)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_r(X_88,X_89,i(X_89)))),bind(Y,$fot(mult(mult(X_88,X_89),i(X_89))))]]) ).
cnf(refute_0_880,plain,
mult(mult(X_88,X_89),i(X_89)) = op_r(X_88,X_89,i(X_89)),
inference(resolve,[$cnf( $equal(op_r(X_88,X_89,i(X_89)),mult(mult(X_88,X_89),i(X_89))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
mult(mult(X_210,X_211),i(X_211)) = op_r(X_210,X_211,i(X_211)),
inference(subst,[],[refute_0_880:[bind(X_88,$fot(X_210)),bind(X_89,$fot(X_211))]]) ).
cnf(refute_0_882,plain,
( mult(mult(X_210,X_211),i(X_211)) != mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))
| mult(mult(X_210,X_211),i(X_211)) != op_r(X_210,X_211,i(X_211))
| op_r(X_210,X_211,i(X_211)) = mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_210,X_211),i(X_211)),mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))) ),[0],$fot(op_r(X_210,X_211,i(X_211)))]]) ).
cnf(refute_0_883,plain,
( mult(mult(X_210,X_211),i(X_211)) != mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))
| op_r(X_210,X_211,i(X_211)) = mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_210,X_211),i(X_211)),op_r(X_210,X_211,i(X_211))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
mult(unit,asoc(X_210,X_211,i(X_211))) = asoc(X_210,X_211,i(X_211)),
inference(subst,[],[c01:[bind(A,$fot(asoc(X_210,X_211,i(X_211))))]]) ).
cnf(refute_0_885,plain,
mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))) = mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))),
introduced(tautology,[refl,[$fot(mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))))]]) ).
cnf(refute_0_886,plain,
( mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))) != mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211))))
| mult(unit,asoc(X_210,X_211,i(X_211))) != asoc(X_210,X_211,i(X_211))
| mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))) = mult(X_210,asoc(X_210,X_211,i(X_211))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))),mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211))))) ),[1,1],$fot(asoc(X_210,X_211,i(X_211)))]]) ).
cnf(refute_0_887,plain,
( mult(unit,asoc(X_210,X_211,i(X_211))) != asoc(X_210,X_211,i(X_211))
| mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))) = mult(X_210,asoc(X_210,X_211,i(X_211))) ),
inference(resolve,[$cnf( $equal(mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))),mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211))))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))) = mult(X_210,asoc(X_210,X_211,i(X_211))),
inference(resolve,[$cnf( $equal(mult(unit,asoc(X_210,X_211,i(X_211))),asoc(X_210,X_211,i(X_211))) )],[refute_0_884,refute_0_887]) ).
cnf(refute_0_889,plain,
mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) = mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))),
inference(subst,[],[refute_0_579:[bind(C,$fot(X_210)),bind(D,$fot(X_211)),bind(E,$fot(i(X_211))),bind(X_211,$fot(unit))]]) ).
cnf(refute_0_890,plain,
( mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))) != mult(X_210,asoc(X_210,X_211,i(X_211)))
| mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) != mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211))))
| mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) = mult(X_210,asoc(X_210,X_211,i(X_211))) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))))),bind(Y,$fot(mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))))),bind(Z,$fot(mult(X_210,asoc(X_210,X_211,i(X_211)))))]]) ).
cnf(refute_0_891,plain,
( mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))) != mult(X_210,asoc(X_210,X_211,i(X_211)))
| mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) = mult(X_210,asoc(X_210,X_211,i(X_211))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))),mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211))))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) = mult(X_210,asoc(X_210,X_211,i(X_211))),
inference(resolve,[$cnf( $equal(mult(X_210,mult(unit,asoc(X_210,X_211,i(X_211)))),mult(X_210,asoc(X_210,X_211,i(X_211)))) )],[refute_0_888,refute_0_891]) ).
cnf(refute_0_893,plain,
( mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))) != mult(X_210,asoc(X_210,X_211,i(X_211)))
| op_r(X_210,X_211,i(X_211)) != mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))
| op_r(X_210,X_211,i(X_211)) = mult(X_210,asoc(X_210,X_211,i(X_211))) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_210,X_211,i(X_211)),mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))) ),[1],$fot(mult(X_210,asoc(X_210,X_211,i(X_211))))]]) ).
cnf(refute_0_894,plain,
( op_r(X_210,X_211,i(X_211)) != mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))
| op_r(X_210,X_211,i(X_211)) = mult(X_210,asoc(X_210,X_211,i(X_211))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211))),mult(X_210,asoc(X_210,X_211,i(X_211)))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
( mult(mult(X_210,X_211),i(X_211)) != mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))
| op_r(X_210,X_211,i(X_211)) = mult(X_210,asoc(X_210,X_211,i(X_211))) ),
inference(resolve,[$cnf( $equal(op_r(X_210,X_211,i(X_211)),mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))) )],[refute_0_883,refute_0_894]) ).
cnf(refute_0_896,plain,
op_r(X_210,X_211,i(X_211)) = mult(X_210,asoc(X_210,X_211,i(X_211))),
inference(resolve,[$cnf( $equal(mult(mult(X_210,X_211),i(X_211)),mult(mult(X_210,unit),asoc(X_210,X_211,i(X_211)))) )],[refute_0_869,refute_0_895]) ).
cnf(refute_0_897,plain,
op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) = mult(X_210,asoc(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496)))),
inference(subst,[],[refute_0_896:[bind(X_211,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_898,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) != mult(X_210,asoc(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))))
| op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) = mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))),mult(X_210,asoc(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))))) ),[1,1,2],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_899,plain,
( op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) != mult(X_210,asoc(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))))
| op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) = mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_898]) ).
cnf(refute_0_900,plain,
op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) = mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))),
inference(resolve,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))),mult(X_210,asoc(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))))) )],[refute_0_897,refute_0_899]) ).
cnf(refute_0_901,plain,
op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) = op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))),
introduced(tautology,[refl,[$fot(op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))))]]) ).
cnf(refute_0_902,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) != op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496)))
| op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) = op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))),op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496)))) ),[1,2],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_903,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) = op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) ),
inference(resolve,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))),op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496)))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) = op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_903]) ).
cnf(refute_0_905,plain,
( op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) != mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))
| op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) != op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495))
| op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) = mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))),mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))) ),[0],$fot(op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))]]) ).
cnf(refute_0_906,plain,
( op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) != mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))
| op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) = mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) ),
inference(resolve,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))),op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
mult(X_210,unit) = X_210,
inference(subst,[],[c02:[bind(A,$fot(X_210))]]) ).
cnf(refute_0_908,plain,
asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) = unit,
inference(subst,[],[refute_0_475:[bind(A,$fot(X_210)),bind(B,$fot(op_k(X_495,X_496))),bind(X_489,$fot(X_496)),bind(X_490,$fot(X_495))]]) ).
cnf(refute_0_909,plain,
mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) = mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))),
introduced(tautology,[refl,[$fot(mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))))]]) ).
cnf(refute_0_910,plain,
( asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) != unit
| mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) != mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))
| mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) = mult(X_210,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))),mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_911,plain,
( asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) != unit
| mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) = mult(X_210,unit) ),
inference(resolve,[$cnf( $equal(mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))),mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) = mult(X_210,unit),
inference(resolve,[$cnf( $equal(asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)),unit) )],[refute_0_908,refute_0_911]) ).
cnf(refute_0_913,plain,
( mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) != mult(X_210,unit)
| mult(X_210,unit) != X_210
| mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) = X_210 ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))))),bind(Y,$fot(mult(X_210,unit))),bind(Z,$fot(X_210))]]) ).
cnf(refute_0_914,plain,
( mult(X_210,unit) != X_210
| mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) = X_210 ),
inference(resolve,[$cnf( $equal(mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))),mult(X_210,unit)) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) = X_210,
inference(resolve,[$cnf( $equal(mult(X_210,unit),X_210) )],[refute_0_907,refute_0_914]) ).
cnf(refute_0_916,plain,
( mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))) != X_210
| op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) != mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))
| op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) = X_210 ),
introduced(tautology,[equality,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)),mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))) ),[1],$fot(X_210)]]) ).
cnf(refute_0_917,plain,
( op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) != mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))
| op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) = X_210 ),
inference(resolve,[$cnf( $equal(mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495))),X_210) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
( op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))) != mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))
| op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) = X_210 ),
inference(resolve,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)),mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))) )],[refute_0_906,refute_0_917]) ).
cnf(refute_0_919,plain,
op_r(X_210,op_k(X_495,X_496),op_k(X_496,X_495)) = X_210,
inference(resolve,[$cnf( $equal(op_r(X_210,op_k(X_495,X_496),i(op_k(X_495,X_496))),mult(X_210,asoc(X_210,op_k(X_495,X_496),op_k(X_496,X_495)))) )],[refute_0_900,refute_0_918]) ).
cnf(refute_0_920,plain,
op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496)) = X_36,
inference(subst,[],[refute_0_919:[bind(X_210,$fot(X_36)),bind(X_495,$fot(X_496)),bind(X_496,$fot(X_495))]]) ).
cnf(refute_0_921,plain,
rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) = rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))),
introduced(tautology,[refl,[$fot(rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))))]]) ).
cnf(refute_0_922,plain,
( op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496)) != X_36
| rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) != rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496)))
| rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) = rd(op_k(X_495,X_496),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))),rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496)))) ),[1,1],$fot(X_36)]]) ).
cnf(refute_0_923,plain,
( op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496)) != X_36
| rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) = rd(op_k(X_495,X_496),X_36) ),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))),rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496)))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) = rd(op_k(X_495,X_496),X_36),
inference(resolve,[$cnf( $equal(op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496)),X_36) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
( rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) != mult(i(X_36),op_k(X_495,X_496))
| rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) != rd(op_k(X_495,X_496),X_36)
| rd(op_k(X_495,X_496),X_36) = mult(i(X_36),op_k(X_495,X_496)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))),mult(i(X_36),op_k(X_495,X_496))) ),[0],$fot(rd(op_k(X_495,X_496),X_36))]]) ).
cnf(refute_0_926,plain,
( rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) != mult(i(X_36),op_k(X_495,X_496))
| rd(op_k(X_495,X_496),X_36) = mult(i(X_36),op_k(X_495,X_496)) ),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))),rd(op_k(X_495,X_496),X_36)) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
i(mult(X_30,i(op_k(X_495,X_496)))) = mult(i(X_30),op_k(X_495,X_496)),
inference(subst,[],[refute_0_212:[bind(X_9,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_928,plain,
( i(mult(X_30,i(op_k(X_495,X_496)))) != mult(i(X_30),op_k(X_495,X_496))
| i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| i(mult(X_30,op_k(X_496,X_495))) = mult(i(X_30),op_k(X_495,X_496)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(X_30,i(op_k(X_495,X_496)))),mult(i(X_30),op_k(X_495,X_496))) ),[0,0,1],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_929,plain,
( i(mult(X_30,i(op_k(X_495,X_496)))) != mult(i(X_30),op_k(X_495,X_496))
| i(mult(X_30,op_k(X_496,X_495))) = mult(i(X_30),op_k(X_495,X_496)) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_928]) ).
cnf(refute_0_930,plain,
i(mult(X_30,op_k(X_496,X_495))) = mult(i(X_30),op_k(X_495,X_496)),
inference(resolve,[$cnf( $equal(i(mult(X_30,i(op_k(X_495,X_496)))),mult(i(X_30),op_k(X_495,X_496))) )],[refute_0_927,refute_0_929]) ).
cnf(refute_0_931,plain,
( i(mult(X_30,op_k(X_496,X_495))) != mult(i(X_30),op_k(X_495,X_496))
| mult(i(X_30),op_k(X_495,X_496)) = i(mult(X_30,op_k(X_496,X_495))) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i(mult(X_30,op_k(X_496,X_495))))),bind(Y,$fot(mult(i(X_30),op_k(X_495,X_496))))]]) ).
cnf(refute_0_932,plain,
mult(i(X_30),op_k(X_495,X_496)) = i(mult(X_30,op_k(X_496,X_495))),
inference(resolve,[$cnf( $equal(i(mult(X_30,op_k(X_496,X_495))),mult(i(X_30),op_k(X_495,X_496))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
mult(i(X_36),op_k(X_495,X_496)) = i(mult(X_36,op_k(X_496,X_495))),
inference(subst,[],[refute_0_932:[bind(X_30,$fot(X_36))]]) ).
cnf(refute_0_934,plain,
( mult(i(X_36),op_k(X_495,X_496)) != i(mult(X_36,op_k(X_496,X_495)))
| rd(op_k(X_495,X_496),X_36) != mult(i(X_36),op_k(X_495,X_496))
| rd(op_k(X_495,X_496),X_36) = i(mult(X_36,op_k(X_496,X_495))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(X_495,X_496),X_36),mult(i(X_36),op_k(X_495,X_496))) ),[1],$fot(i(mult(X_36,op_k(X_496,X_495))))]]) ).
cnf(refute_0_935,plain,
( rd(op_k(X_495,X_496),X_36) != mult(i(X_36),op_k(X_495,X_496))
| rd(op_k(X_495,X_496),X_36) = i(mult(X_36,op_k(X_496,X_495))) ),
inference(resolve,[$cnf( $equal(mult(i(X_36),op_k(X_495,X_496)),i(mult(X_36,op_k(X_496,X_495)))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
( rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))) != mult(i(X_36),op_k(X_495,X_496))
| rd(op_k(X_495,X_496),X_36) = i(mult(X_36,op_k(X_496,X_495))) ),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),X_36),mult(i(X_36),op_k(X_495,X_496))) )],[refute_0_926,refute_0_935]) ).
cnf(refute_0_937,plain,
rd(op_k(X_495,X_496),X_36) = i(mult(X_36,op_k(X_496,X_495))),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),op_r(X_36,op_k(X_496,X_495),op_k(X_495,X_496))),mult(i(X_36),op_k(X_495,X_496))) )],[refute_0_864,refute_0_936]) ).
cnf(refute_0_938,plain,
( rd(op_k(X_495,X_496),X_36) != i(mult(X_36,op_k(X_496,X_495)))
| i(mult(X_36,op_k(X_496,X_495))) = rd(op_k(X_495,X_496),X_36) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(rd(op_k(X_495,X_496),X_36))),bind(Y,$fot(i(mult(X_36,op_k(X_496,X_495)))))]]) ).
cnf(refute_0_939,plain,
i(mult(X_36,op_k(X_496,X_495))) = rd(op_k(X_495,X_496),X_36),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),X_36),i(mult(X_36,op_k(X_496,X_495)))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
i(mult(X_16,op_k(X_496,X_495))) = rd(op_k(X_495,X_496),X_16),
inference(subst,[],[refute_0_939:[bind(X_36,$fot(X_16))]]) ).
cnf(refute_0_941,plain,
mult(i(X_16),op_k(X_495,X_496)) = i(mult(X_16,op_k(X_496,X_495))),
inference(subst,[],[refute_0_932:[bind(X_30,$fot(X_16))]]) ).
cnf(refute_0_942,plain,
( i(mult(X_16,op_k(X_496,X_495))) != rd(op_k(X_495,X_496),X_16)
| mult(i(X_16),op_k(X_495,X_496)) != i(mult(X_16,op_k(X_496,X_495)))
| mult(i(X_16),op_k(X_495,X_496)) = rd(op_k(X_495,X_496),X_16) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(i(X_16),op_k(X_495,X_496)))),bind(Y,$fot(i(mult(X_16,op_k(X_496,X_495))))),bind(Z,$fot(rd(op_k(X_495,X_496),X_16)))]]) ).
cnf(refute_0_943,plain,
( i(mult(X_16,op_k(X_496,X_495))) != rd(op_k(X_495,X_496),X_16)
| mult(i(X_16),op_k(X_495,X_496)) = rd(op_k(X_495,X_496),X_16) ),
inference(resolve,[$cnf( $equal(mult(i(X_16),op_k(X_495,X_496)),i(mult(X_16,op_k(X_496,X_495)))) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
mult(i(X_16),op_k(X_495,X_496)) = rd(op_k(X_495,X_496),X_16),
inference(resolve,[$cnf( $equal(i(mult(X_16,op_k(X_496,X_495))),rd(op_k(X_495,X_496),X_16)) )],[refute_0_940,refute_0_943]) ).
cnf(refute_0_945,plain,
mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)),
introduced(tautology,[refl,[$fot(mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)))]]) ).
cnf(refute_0_946,plain,
( mult(i(X_16),op_k(X_495,X_496)) != rd(op_k(X_495,X_496),X_16)
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) != mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16))
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)),mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16))) ),[1,0],$fot(rd(op_k(X_495,X_496),X_16))]]) ).
cnf(refute_0_947,plain,
( mult(i(X_16),op_k(X_495,X_496)) != rd(op_k(X_495,X_496),X_16)
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16)) ),
inference(resolve,[$cnf( $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)),mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) = mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16)),
inference(resolve,[$cnf( $equal(mult(i(X_16),op_k(X_495,X_496)),rd(op_k(X_495,X_496),X_16)) )],[refute_0_944,refute_0_947]) ).
cnf(refute_0_949,plain,
( mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) != mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16))
| mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) != op_k(op_k(X_496,X_495),X_16)
| mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16)) = op_k(op_k(X_496,X_495),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)),op_k(op_k(X_496,X_495),X_16)) ),[0],$fot(mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16)))]]) ).
cnf(refute_0_950,plain,
( mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)) != op_k(op_k(X_496,X_495),X_16)
| mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16)) = op_k(op_k(X_496,X_495),X_16) ),
inference(resolve,[$cnf( $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)),mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
mult(rd(op_k(X_495,X_496),X_16),mult(op_k(X_496,X_495),X_16)) = op_k(op_k(X_496,X_495),X_16),
inference(resolve,[$cnf( $equal(mult(mult(i(X_16),op_k(X_495,X_496)),mult(op_k(X_496,X_495),X_16)),op_k(op_k(X_496,X_495),X_16)) )],[refute_0_839,refute_0_950]) ).
cnf(refute_0_952,plain,
mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165)) = op_k(op_k(X_495,X_496),X_165),
inference(subst,[],[refute_0_951:[bind(X_16,$fot(X_165)),bind(X_495,$fot(X_496)),bind(X_496,$fot(X_495))]]) ).
cnf(refute_0_953,plain,
op_t(rd(A,X_37),X_37) = mult(i(X_37),mult(rd(A,X_37),X_37)),
inference(subst,[],[c14:[bind(A,$fot(rd(A,X_37))),bind(B,$fot(X_37))]]) ).
cnf(refute_0_954,plain,
mult(rd(A,X_37),X_37) = A,
inference(subst,[],[c08:[bind(B,$fot(X_37))]]) ).
cnf(refute_0_955,plain,
( mult(rd(A,X_37),X_37) != A
| op_t(rd(A,X_37),X_37) != mult(i(X_37),mult(rd(A,X_37),X_37))
| op_t(rd(A,X_37),X_37) = mult(i(X_37),A) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(rd(A,X_37),X_37),mult(i(X_37),mult(rd(A,X_37),X_37))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_956,plain,
( op_t(rd(A,X_37),X_37) != mult(i(X_37),mult(rd(A,X_37),X_37))
| op_t(rd(A,X_37),X_37) = mult(i(X_37),A) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_37),X_37),A) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
op_t(rd(A,X_37),X_37) = mult(i(X_37),A),
inference(resolve,[$cnf( $equal(op_t(rd(A,X_37),X_37),mult(i(X_37),mult(rd(A,X_37),X_37))) )],[refute_0_953,refute_0_956]) ).
cnf(refute_0_958,plain,
op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) = mult(i(op_k(X_495,X_496)),A),
inference(subst,[],[refute_0_957:[bind(X_37,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_959,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) != mult(i(op_k(X_495,X_496)),A)
| op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) = mult(op_k(X_496,X_495),A) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)),mult(i(op_k(X_495,X_496)),A)) ),[1,0],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_960,plain,
( op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) != mult(i(op_k(X_495,X_496)),A)
| op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) = mult(op_k(X_496,X_495),A) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_959]) ).
cnf(refute_0_961,plain,
op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) = mult(op_k(X_496,X_495),A),
inference(resolve,[$cnf( $equal(op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)),mult(i(op_k(X_495,X_496)),A)) )],[refute_0_958,refute_0_960]) ).
cnf(refute_0_962,plain,
mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = mult(X_23,op_k(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496))),
inference(subst,[],[refute_0_179:[bind(B,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_963,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) != mult(X_23,op_k(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)))
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),mult(X_23,op_k(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)))) ),[1,1,0,0],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_964,plain,
( mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) != mult(X_23,op_k(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)))
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_963]) ).
cnf(refute_0_965,plain,
mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),mult(X_23,op_k(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)))) )],[refute_0_962,refute_0_964]) ).
cnf(refute_0_966,plain,
mult(mult(X_210,X_211),i(X_210)) = mult(mult(X_210,mult(X_211,i(X_210))),asoc(X_210,X_211,i(X_210))),
inference(subst,[],[c10:[bind(A,$fot(X_210)),bind(B,$fot(X_211)),bind(C,$fot(i(X_210)))]]) ).
cnf(refute_0_967,plain,
op_t(X_36,i(X_9)) = mult(i(i(X_9)),mult(X_36,i(X_9))),
inference(subst,[],[c14:[bind(A,$fot(X_36)),bind(B,$fot(i(X_9)))]]) ).
cnf(refute_0_968,plain,
( i(i(X_9)) != X_9
| op_t(X_36,i(X_9)) != mult(i(i(X_9)),mult(X_36,i(X_9)))
| op_t(X_36,i(X_9)) = mult(X_9,mult(X_36,i(X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_36,i(X_9)),mult(i(i(X_9)),mult(X_36,i(X_9)))) ),[1,0],$fot(X_9)]]) ).
cnf(refute_0_969,plain,
( op_t(X_36,i(X_9)) != mult(i(i(X_9)),mult(X_36,i(X_9)))
| op_t(X_36,i(X_9)) = mult(X_9,mult(X_36,i(X_9))) ),
inference(resolve,[$cnf( $equal(i(i(X_9)),X_9) )],[refute_0_64,refute_0_968]) ).
cnf(refute_0_970,plain,
op_t(X_36,i(X_9)) = mult(X_9,mult(X_36,i(X_9))),
inference(resolve,[$cnf( $equal(op_t(X_36,i(X_9)),mult(i(i(X_9)),mult(X_36,i(X_9)))) )],[refute_0_967,refute_0_969]) ).
cnf(refute_0_971,plain,
op_t(X_211,i(X_210)) = mult(X_210,mult(X_211,i(X_210))),
inference(subst,[],[refute_0_970:[bind(X_36,$fot(X_211)),bind(X_9,$fot(X_210))]]) ).
cnf(refute_0_972,plain,
( op_t(X_211,i(X_210)) != mult(X_210,mult(X_211,i(X_210)))
| mult(X_210,mult(X_211,i(X_210))) = op_t(X_211,i(X_210)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(op_t(X_211,i(X_210)))),bind(Y,$fot(mult(X_210,mult(X_211,i(X_210)))))]]) ).
cnf(refute_0_973,plain,
mult(X_210,mult(X_211,i(X_210))) = op_t(X_211,i(X_210)),
inference(resolve,[$cnf( $equal(op_t(X_211,i(X_210)),mult(X_210,mult(X_211,i(X_210)))) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
( mult(X_210,mult(X_211,i(X_210))) != op_t(X_211,i(X_210))
| mult(mult(X_210,X_211),i(X_210)) != mult(mult(X_210,mult(X_211,i(X_210))),asoc(X_210,X_211,i(X_210)))
| mult(mult(X_210,X_211),i(X_210)) = mult(op_t(X_211,i(X_210)),asoc(X_210,X_211,i(X_210))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_210,X_211),i(X_210)),mult(mult(X_210,mult(X_211,i(X_210))),asoc(X_210,X_211,i(X_210)))) ),[1,0],$fot(op_t(X_211,i(X_210)))]]) ).
cnf(refute_0_975,plain,
( mult(mult(X_210,X_211),i(X_210)) != mult(mult(X_210,mult(X_211,i(X_210))),asoc(X_210,X_211,i(X_210)))
| mult(mult(X_210,X_211),i(X_210)) = mult(op_t(X_211,i(X_210)),asoc(X_210,X_211,i(X_210))) ),
inference(resolve,[$cnf( $equal(mult(X_210,mult(X_211,i(X_210))),op_t(X_211,i(X_210))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
mult(mult(X_210,X_211),i(X_210)) = mult(op_t(X_211,i(X_210)),asoc(X_210,X_211,i(X_210))),
inference(resolve,[$cnf( $equal(mult(mult(X_210,X_211),i(X_210)),mult(mult(X_210,mult(X_211,i(X_210))),asoc(X_210,X_211,i(X_210)))) )],[refute_0_966,refute_0_975]) ).
cnf(refute_0_977,plain,
mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) = mult(op_t(X_211,i(op_k(X_495,X_496))),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))),
inference(subst,[],[refute_0_976:[bind(X_210,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_978,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) != mult(op_t(X_211,i(op_k(X_495,X_496))),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))
| mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) = mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))),mult(op_t(X_211,i(op_k(X_495,X_496))),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))) ),[1,0,1],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_979,plain,
( mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) != mult(op_t(X_211,i(op_k(X_495,X_496))),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))
| mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) = mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_978]) ).
cnf(refute_0_980,plain,
mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) = mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))),
inference(resolve,[$cnf( $equal(mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))),mult(op_t(X_211,i(op_k(X_495,X_496))),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))) )],[refute_0_977,refute_0_979]) ).
cnf(refute_0_981,plain,
mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) = mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))),
introduced(tautology,[refl,[$fot(mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))))]]) ).
cnf(refute_0_982,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) != mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496)))
| mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) = mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))),mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496)))) ),[1,1],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_983,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) = mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) ),
inference(resolve,[$cnf( $equal(mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))),mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496)))) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) = mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_983]) ).
cnf(refute_0_985,plain,
( mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) != mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495))
| mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) != mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))
| mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) = mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))),mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))) ),[0],$fot(mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)))]]) ).
cnf(refute_0_986,plain,
( mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) != mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))
| mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) = mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) ),
inference(resolve,[$cnf( $equal(mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))),mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495))) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
mult(op_t(X_211,op_k(X_496,X_495)),unit) = op_t(X_211,op_k(X_496,X_495)),
inference(subst,[],[c02:[bind(A,$fot(op_t(X_211,op_k(X_496,X_495))))]]) ).
cnf(refute_0_988,plain,
asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))) = unit,
inference(subst,[],[refute_0_711:[bind(D,$fot(X_211)),bind(E,$fot(i(op_k(X_495,X_496)))),bind(X_489,$fot(X_495)),bind(X_490,$fot(X_496))]]) ).
cnf(refute_0_989,plain,
mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) = mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))),
introduced(tautology,[refl,[$fot(mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))))]]) ).
cnf(refute_0_990,plain,
( asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))) != unit
| mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) != mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))
| mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) = mult(op_t(X_211,op_k(X_496,X_495)),unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))),mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_991,plain,
( asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))) != unit
| mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) = mult(op_t(X_211,op_k(X_496,X_495)),unit) ),
inference(resolve,[$cnf( $equal(mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))),mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) = mult(op_t(X_211,op_k(X_496,X_495)),unit),
inference(resolve,[$cnf( $equal(asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))),unit) )],[refute_0_988,refute_0_991]) ).
cnf(refute_0_993,plain,
( mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) != mult(op_t(X_211,op_k(X_496,X_495)),unit)
| mult(op_t(X_211,op_k(X_496,X_495)),unit) != op_t(X_211,op_k(X_496,X_495))
| mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) = op_t(X_211,op_k(X_496,X_495)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))))),bind(Y,$fot(mult(op_t(X_211,op_k(X_496,X_495)),unit))),bind(Z,$fot(op_t(X_211,op_k(X_496,X_495))))]]) ).
cnf(refute_0_994,plain,
( mult(op_t(X_211,op_k(X_496,X_495)),unit) != op_t(X_211,op_k(X_496,X_495))
| mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) = op_t(X_211,op_k(X_496,X_495)) ),
inference(resolve,[$cnf( $equal(mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))),mult(op_t(X_211,op_k(X_496,X_495)),unit)) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) = op_t(X_211,op_k(X_496,X_495)),
inference(resolve,[$cnf( $equal(mult(op_t(X_211,op_k(X_496,X_495)),unit),op_t(X_211,op_k(X_496,X_495))) )],[refute_0_987,refute_0_994]) ).
cnf(refute_0_996,plain,
( mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) != mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))
| mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))) != op_t(X_211,op_k(X_496,X_495))
| mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) = op_t(X_211,op_k(X_496,X_495)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)),op_t(X_211,op_k(X_496,X_495))) ),[0],$fot(mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))))]]) ).
cnf(refute_0_997,plain,
( mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) != mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))
| mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) = op_t(X_211,op_k(X_496,X_495)) ),
inference(resolve,[$cnf( $equal(mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496)))),op_t(X_211,op_k(X_496,X_495))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
( mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))) != mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))
| mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) = op_t(X_211,op_k(X_496,X_495)) ),
inference(resolve,[$cnf( $equal(mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)),mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))) )],[refute_0_986,refute_0_997]) ).
cnf(refute_0_999,plain,
mult(mult(op_k(X_495,X_496),X_211),op_k(X_496,X_495)) = op_t(X_211,op_k(X_496,X_495)),
inference(resolve,[$cnf( $equal(mult(mult(op_k(X_495,X_496),X_211),i(op_k(X_495,X_496))),mult(op_t(X_211,op_k(X_496,X_495)),asoc(op_k(X_495,X_496),X_211,i(op_k(X_495,X_496))))) )],[refute_0_980,refute_0_998]) ).
cnf(refute_0_1000,plain,
mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)) = op_t(X_23,op_k(X_495,X_496)),
inference(subst,[],[refute_0_999:[bind(X_211,$fot(X_23)),bind(X_495,$fot(X_496)),bind(X_496,$fot(X_495))]]) ).
cnf(refute_0_1001,plain,
mult(i(op_k(X_495,X_496)),X_23) = mult(i(op_k(X_495,X_496)),X_23),
introduced(tautology,[refl,[$fot(mult(i(op_k(X_495,X_496)),X_23))]]) ).
cnf(refute_0_1002,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| mult(i(op_k(X_495,X_496)),X_23) != mult(i(op_k(X_495,X_496)),X_23)
| mult(i(op_k(X_495,X_496)),X_23) = mult(op_k(X_496,X_495),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(op_k(X_495,X_496)),X_23),mult(i(op_k(X_495,X_496)),X_23)) ),[1,0],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_1003,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| mult(i(op_k(X_495,X_496)),X_23) = mult(op_k(X_496,X_495),X_23) ),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_495,X_496)),X_23),mult(i(op_k(X_495,X_496)),X_23)) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
mult(i(op_k(X_495,X_496)),X_23) = mult(op_k(X_496,X_495),X_23),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_1003]) ).
cnf(refute_0_1005,plain,
mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),
introduced(tautology,[refl,[$fot(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)))]]) ).
cnf(refute_0_1006,plain,
( mult(i(op_k(X_495,X_496)),X_23) != mult(op_k(X_496,X_495),X_23)
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) != mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496))
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496))) ),[1,0],$fot(mult(op_k(X_496,X_495),X_23))]]) ).
cnf(refute_0_1007,plain,
( mult(i(op_k(X_495,X_496)),X_23) != mult(op_k(X_496,X_495),X_23)
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)) ),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496))) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_495,X_496)),X_23),mult(op_k(X_496,X_495),X_23)) )],[refute_0_1004,refute_0_1007]) ).
cnf(refute_0_1009,plain,
( mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) != mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))
| mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)) != op_t(X_23,op_k(X_495,X_496))
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = op_t(X_23,op_k(X_495,X_496)) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)))),bind(Y,$fot(mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))),bind(Z,$fot(op_t(X_23,op_k(X_495,X_496))))]]) ).
cnf(refute_0_1010,plain,
( mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)) != op_t(X_23,op_k(X_495,X_496))
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = op_t(X_23,op_k(X_495,X_496)) ),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) = op_t(X_23,op_k(X_495,X_496)),
inference(resolve,[$cnf( $equal(mult(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)),op_t(X_23,op_k(X_495,X_496))) )],[refute_0_1000,refute_0_1010]) ).
cnf(refute_0_1012,plain,
( mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) != mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))
| mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) != op_t(X_23,op_k(X_495,X_496))
| op_t(X_23,op_k(X_495,X_496)) = mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))) ),[0],$fot(op_t(X_23,op_k(X_495,X_496)))]]) ).
cnf(refute_0_1013,plain,
( mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) != mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))
| op_t(X_23,op_k(X_495,X_496)) = mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),op_t(X_23,op_k(X_495,X_496))) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
op_k(A,op_k(X_495,X_496)) = asoc(i(op_k(X_495,X_496)),i(A),mult(A,op_k(X_495,X_496))),
inference(subst,[],[refute_0_463:[bind(B,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_1015,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| op_k(A,op_k(X_495,X_496)) != asoc(i(op_k(X_495,X_496)),i(A),mult(A,op_k(X_495,X_496)))
| op_k(A,op_k(X_495,X_496)) = asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496))) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(A,op_k(X_495,X_496)),asoc(i(op_k(X_495,X_496)),i(A),mult(A,op_k(X_495,X_496)))) ),[1,0],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_1016,plain,
( op_k(A,op_k(X_495,X_496)) != asoc(i(op_k(X_495,X_496)),i(A),mult(A,op_k(X_495,X_496)))
| op_k(A,op_k(X_495,X_496)) = asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_1015]) ).
cnf(refute_0_1017,plain,
op_k(A,op_k(X_495,X_496)) = asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496))),
inference(resolve,[$cnf( $equal(op_k(A,op_k(X_495,X_496)),asoc(i(op_k(X_495,X_496)),i(A),mult(A,op_k(X_495,X_496)))) )],[refute_0_1014,refute_0_1016]) ).
cnf(refute_0_1018,plain,
asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496))) = unit,
inference(subst,[],[refute_0_711:[bind(D,$fot(i(A))),bind(E,$fot(mult(A,op_k(X_495,X_496)))),bind(X_489,$fot(X_496)),bind(X_490,$fot(X_495))]]) ).
cnf(refute_0_1019,plain,
( asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496))) != unit
| op_k(A,op_k(X_495,X_496)) != asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496)))
| op_k(A,op_k(X_495,X_496)) = unit ),
introduced(tautology,[equality,[$cnf( $equal(op_k(A,op_k(X_495,X_496)),asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496)))) ),[1],$fot(unit)]]) ).
cnf(refute_0_1020,plain,
( op_k(A,op_k(X_495,X_496)) != asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496)))
| op_k(A,op_k(X_495,X_496)) = unit ),
inference(resolve,[$cnf( $equal(asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496))),unit) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
op_k(A,op_k(X_495,X_496)) = unit,
inference(resolve,[$cnf( $equal(op_k(A,op_k(X_495,X_496)),asoc(op_k(X_496,X_495),i(A),mult(A,op_k(X_495,X_496)))) )],[refute_0_1017,refute_0_1020]) ).
cnf(refute_0_1022,plain,
op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)) = unit,
inference(subst,[],[refute_0_1021:[bind(A,$fot(mult(op_k(X_496,X_495),X_23)))]]) ).
cnf(refute_0_1023,plain,
mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) = mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))),
introduced(tautology,[refl,[$fot(mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))))]]) ).
cnf(refute_0_1024,plain,
( mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) != mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))
| op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)) != unit
| mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) = mult(X_23,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))),mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_1025,plain,
( op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)) != unit
| mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) = mult(X_23,unit) ),
inference(resolve,[$cnf( $equal(mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))),mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) = mult(X_23,unit),
inference(resolve,[$cnf( $equal(op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)),unit) )],[refute_0_1022,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) != mult(X_23,unit)
| mult(X_23,unit) != X_23
| mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) = X_23 ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))))),bind(Y,$fot(mult(X_23,unit))),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_1028,plain,
( mult(X_23,unit) != X_23
| mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) = X_23 ),
inference(resolve,[$cnf( $equal(mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))),mult(X_23,unit)) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) = X_23,
inference(resolve,[$cnf( $equal(mult(X_23,unit),X_23) )],[refute_0_726,refute_0_1028]) ).
cnf(refute_0_1030,plain,
( mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))) != X_23
| op_t(X_23,op_k(X_495,X_496)) != mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))
| op_t(X_23,op_k(X_495,X_496)) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_23,op_k(X_495,X_496)),mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))) ),[1],$fot(X_23)]]) ).
cnf(refute_0_1031,plain,
( op_t(X_23,op_k(X_495,X_496)) != mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))
| op_t(X_23,op_k(X_495,X_496)) = X_23 ),
inference(resolve,[$cnf( $equal(mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496))),X_23) )],[refute_0_1029,refute_0_1030]) ).
cnf(refute_0_1032,plain,
( mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)) != mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))
| op_t(X_23,op_k(X_495,X_496)) = X_23 ),
inference(resolve,[$cnf( $equal(op_t(X_23,op_k(X_495,X_496)),mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))) )],[refute_0_1013,refute_0_1031]) ).
cnf(refute_0_1033,plain,
op_t(X_23,op_k(X_495,X_496)) = X_23,
inference(resolve,[$cnf( $equal(mult(mult(i(op_k(X_495,X_496)),X_23),op_k(X_495,X_496)),mult(X_23,op_k(mult(op_k(X_496,X_495),X_23),op_k(X_495,X_496)))) )],[refute_0_965,refute_0_1032]) ).
cnf(refute_0_1034,plain,
op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) = rd(A,op_k(X_495,X_496)),
inference(subst,[],[refute_0_1033:[bind(X_23,$fot(rd(A,op_k(X_495,X_496))))]]) ).
cnf(refute_0_1035,plain,
( op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) != mult(op_k(X_496,X_495),A)
| op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) != rd(A,op_k(X_495,X_496))
| rd(A,op_k(X_495,X_496)) = mult(op_k(X_496,X_495),A) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)),mult(op_k(X_496,X_495),A)) ),[0],$fot(rd(A,op_k(X_495,X_496)))]]) ).
cnf(refute_0_1036,plain,
( op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)) != mult(op_k(X_496,X_495),A)
| rd(A,op_k(X_495,X_496)) = mult(op_k(X_496,X_495),A) ),
inference(resolve,[$cnf( $equal(op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)),rd(A,op_k(X_495,X_496))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
rd(A,op_k(X_495,X_496)) = mult(op_k(X_496,X_495),A),
inference(resolve,[$cnf( $equal(op_t(rd(A,op_k(X_495,X_496)),op_k(X_495,X_496)),mult(op_k(X_496,X_495),A)) )],[refute_0_961,refute_0_1036]) ).
cnf(refute_0_1038,plain,
rd(X_165,op_k(X_496,X_495)) = mult(op_k(X_495,X_496),X_165),
inference(subst,[],[refute_0_1037:[bind(A,$fot(X_165)),bind(X_495,$fot(X_496)),bind(X_496,$fot(X_495))]]) ).
cnf(refute_0_1039,plain,
rd(op_k(X_495,X_496),i(X_101)) = rd(X_101,i(op_k(X_495,X_496))),
inference(subst,[],[refute_0_77:[bind(X_9,$fot(op_k(X_495,X_496)))]]) ).
cnf(refute_0_1040,plain,
( i(op_k(X_495,X_496)) != op_k(X_496,X_495)
| rd(op_k(X_495,X_496),i(X_101)) != rd(X_101,i(op_k(X_495,X_496)))
| rd(op_k(X_495,X_496),i(X_101)) = rd(X_101,op_k(X_496,X_495)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_k(X_495,X_496),i(X_101)),rd(X_101,i(op_k(X_495,X_496)))) ),[1,1],$fot(op_k(X_496,X_495))]]) ).
cnf(refute_0_1041,plain,
( rd(op_k(X_495,X_496),i(X_101)) != rd(X_101,i(op_k(X_495,X_496)))
| rd(op_k(X_495,X_496),i(X_101)) = rd(X_101,op_k(X_496,X_495)) ),
inference(resolve,[$cnf( $equal(i(op_k(X_495,X_496)),op_k(X_496,X_495)) )],[refute_0_825,refute_0_1040]) ).
cnf(refute_0_1042,plain,
rd(op_k(X_495,X_496),i(X_101)) = rd(X_101,op_k(X_496,X_495)),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),i(X_101)),rd(X_101,i(op_k(X_495,X_496)))) )],[refute_0_1039,refute_0_1041]) ).
cnf(refute_0_1043,plain,
rd(op_k(X_495,X_496),i(X_165)) = rd(X_165,op_k(X_496,X_495)),
inference(subst,[],[refute_0_1042:[bind(X_101,$fot(X_165))]]) ).
cnf(refute_0_1044,plain,
( rd(X_165,op_k(X_496,X_495)) != mult(op_k(X_495,X_496),X_165)
| rd(op_k(X_495,X_496),i(X_165)) != rd(X_165,op_k(X_496,X_495))
| rd(op_k(X_495,X_496),i(X_165)) = mult(op_k(X_495,X_496),X_165) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(rd(op_k(X_495,X_496),i(X_165)))),bind(Y,$fot(rd(X_165,op_k(X_496,X_495)))),bind(Z,$fot(mult(op_k(X_495,X_496),X_165)))]]) ).
cnf(refute_0_1045,plain,
( rd(X_165,op_k(X_496,X_495)) != mult(op_k(X_495,X_496),X_165)
| rd(op_k(X_495,X_496),i(X_165)) = mult(op_k(X_495,X_496),X_165) ),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),i(X_165)),rd(X_165,op_k(X_496,X_495))) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
rd(op_k(X_495,X_496),i(X_165)) = mult(op_k(X_495,X_496),X_165),
inference(resolve,[$cnf( $equal(rd(X_165,op_k(X_496,X_495)),mult(op_k(X_495,X_496),X_165)) )],[refute_0_1038,refute_0_1045]) ).
cnf(refute_0_1047,plain,
mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))),
introduced(tautology,[refl,[$fot(mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))))]]) ).
cnf(refute_0_1048,plain,
( mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) != mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165)))
| rd(op_k(X_495,X_496),i(X_165)) != mult(op_k(X_495,X_496),X_165)
| mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))),mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165)))) ),[1,1],$fot(mult(op_k(X_495,X_496),X_165))]]) ).
cnf(refute_0_1049,plain,
( rd(op_k(X_495,X_496),i(X_165)) != mult(op_k(X_495,X_496),X_165)
| mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165)) ),
inference(resolve,[$cnf( $equal(mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))),mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165)))) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165)),
inference(resolve,[$cnf( $equal(rd(op_k(X_495,X_496),i(X_165)),mult(op_k(X_495,X_496),X_165)) )],[refute_0_1046,refute_0_1049]) ).
cnf(refute_0_1051,plain,
( mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165)) != op_k(op_k(X_495,X_496),X_165)
| mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) != mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165))
| mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = op_k(op_k(X_495,X_496),X_165) ),
inference(subst,[],[refute_0_167:[bind(X,$fot(mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))))),bind(Y,$fot(mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165)))),bind(Z,$fot(op_k(op_k(X_495,X_496),X_165)))]]) ).
cnf(refute_0_1052,plain,
( mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165)) != op_k(op_k(X_495,X_496),X_165)
| mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = op_k(op_k(X_495,X_496),X_165) ),
inference(resolve,[$cnf( $equal(mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))),mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165))) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) = op_k(op_k(X_495,X_496),X_165),
inference(resolve,[$cnf( $equal(mult(rd(op_k(X_496,X_495),X_165),mult(op_k(X_495,X_496),X_165)),op_k(op_k(X_495,X_496),X_165)) )],[refute_0_952,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) != op_k(op_k(X_495,X_496),X_165)
| mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) != unit
| op_k(op_k(X_495,X_496),X_165) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))),unit) ),[0],$fot(op_k(op_k(X_495,X_496),X_165))]]) ).
cnf(refute_0_1055,plain,
( mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))) != unit
| op_k(op_k(X_495,X_496),X_165) = unit ),
inference(resolve,[$cnf( $equal(mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))),op_k(op_k(X_495,X_496),X_165)) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
op_k(op_k(X_495,X_496),X_165) = unit,
inference(resolve,[$cnf( $equal(mult(rd(op_k(X_496,X_495),X_165),rd(op_k(X_495,X_496),i(X_165))),unit) )],[refute_0_828,refute_0_1055]) ).
cnf(refute_0_1057,plain,
op_k(op_k(a,b),c) = unit,
inference(subst,[],[refute_0_1056:[bind(X_165,$fot(c)),bind(X_495,$fot(a)),bind(X_496,$fot(b))]]) ).
cnf(refute_0_1058,plain,
( op_k(op_k(a,b),c) != unit
| unit != unit
| op_k(op_k(a,b),c) = unit ),
introduced(tautology,[equality,[$cnf( ~ $equal(op_k(op_k(a,b),c),unit) ),[0],$fot(unit)]]) ).
cnf(refute_0_1059,plain,
( unit != unit
| op_k(op_k(a,b),c) = unit ),
inference(resolve,[$cnf( $equal(op_k(op_k(a,b),c),unit) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
unit != unit,
inference(resolve,[$cnf( $equal(op_k(op_k(a,b),c),unit) )],[refute_0_1059,goals]) ).
cnf(refute_0_1061,plain,
unit = unit,
introduced(tautology,[refl,[$fot(unit)]]) ).
cnf(refute_0_1062,plain,
$false,
inference(resolve,[$cnf( $equal(unit,unit) )],[refute_0_1061,refute_0_1060]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP728-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 04:37:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.84/7.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.84/7.02
% 6.84/7.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.95/7.15
%------------------------------------------------------------------------------