TSTP Solution File: GRP686-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP686-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 10:45:18 EDT 2022
% Result : Unsatisfiable 1.32s 1.50s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 105
% Number of leaves : 253
% Syntax : Number of clauses : 980 ( 500 unt; 0 nHn; 448 RR)
% Number of literals : 1677 (1676 equ; 700 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 1865 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(A,ld(A,B)) = B ).
cnf(c02,axiom,
ld(A,mult(A,B)) = B ).
cnf(c03,axiom,
mult(rd(A,B),B) = A ).
cnf(c04,axiom,
rd(mult(A,B),B) = A ).
cnf(c05,axiom,
mult(A,unit) = A ).
cnf(c06,axiom,
mult(unit,A) = A ).
cnf(c07,axiom,
mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C) ).
cnf(goals,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,mult(a,b)),c) ).
cnf(refute_0_0,plain,
mult(unit,mult(X_19,mult(X_19,X_20))) = mult(mult(unit,mult(X_19,X_19)),X_20),
inference(subst,[],[c07:[bind(A,$fot(unit)),bind(B,$fot(X_19)),bind(C,$fot(X_20))]]) ).
cnf(refute_0_1,plain,
mult(unit,mult(X_19,X_19)) = mult(X_19,X_19),
inference(subst,[],[c06:[bind(A,$fot(mult(X_19,X_19)))]]) ).
cnf(refute_0_2,plain,
( mult(unit,mult(X_19,X_19)) != mult(X_19,X_19)
| mult(unit,mult(X_19,mult(X_19,X_20))) != mult(mult(unit,mult(X_19,X_19)),X_20)
| mult(unit,mult(X_19,mult(X_19,X_20))) = mult(mult(X_19,X_19),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_19,mult(X_19,X_20))),mult(mult(unit,mult(X_19,X_19)),X_20)) ),[1,0],$fot(mult(X_19,X_19))]]) ).
cnf(refute_0_3,plain,
( mult(unit,mult(X_19,mult(X_19,X_20))) != mult(mult(unit,mult(X_19,X_19)),X_20)
| mult(unit,mult(X_19,mult(X_19,X_20))) = mult(mult(X_19,X_19),X_20) ),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_19,X_19)),mult(X_19,X_19)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
mult(unit,mult(X_19,mult(X_19,X_20))) = mult(mult(X_19,X_19),X_20),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_19,mult(X_19,X_20))),mult(mult(unit,mult(X_19,X_19)),X_20)) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
mult(unit,mult(X_19,mult(X_19,X_20))) = mult(X_19,mult(X_19,X_20)),
inference(subst,[],[c06:[bind(A,$fot(mult(X_19,mult(X_19,X_20))))]]) ).
cnf(refute_0_6,plain,
( mult(unit,mult(X_19,mult(X_19,X_20))) != mult(X_19,mult(X_19,X_20))
| mult(unit,mult(X_19,mult(X_19,X_20))) != mult(mult(X_19,X_19),X_20)
| mult(X_19,mult(X_19,X_20)) = mult(mult(X_19,X_19),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_19,mult(X_19,X_20))),mult(mult(X_19,X_19),X_20)) ),[0],$fot(mult(X_19,mult(X_19,X_20)))]]) ).
cnf(refute_0_7,plain,
( mult(unit,mult(X_19,mult(X_19,X_20))) != mult(mult(X_19,X_19),X_20)
| mult(X_19,mult(X_19,X_20)) = mult(mult(X_19,X_19),X_20) ),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_19,mult(X_19,X_20))),mult(X_19,mult(X_19,X_20))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
mult(X_19,mult(X_19,X_20)) = mult(mult(X_19,X_19),X_20),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_19,mult(X_19,X_20))),mult(mult(X_19,X_19),X_20)) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_10,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_11,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( mult(X_19,mult(X_19,X_20)) != mult(mult(X_19,X_19),X_20)
| mult(mult(X_19,X_19),X_20) = mult(X_19,mult(X_19,X_20)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(X_19,mult(X_19,X_20)))),bind(Y,$fot(mult(mult(X_19,X_19),X_20)))]]) ).
cnf(refute_0_13,plain,
mult(mult(X_19,X_19),X_20) = mult(X_19,mult(X_19,X_20)),
inference(resolve,[$cnf( $equal(mult(X_19,mult(X_19,X_20)),mult(mult(X_19,X_19),X_20)) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
mult(mult(a,a),mult(b,c)) = mult(a,mult(a,mult(b,c))),
inference(subst,[],[refute_0_13:[bind(X_19,$fot(a)),bind(X_20,$fot(mult(b,c)))]]) ).
cnf(refute_0_15,plain,
( mult(a,mult(a,mult(b,c))) != mult(mult(a,mult(a,b)),c)
| mult(mult(a,a),mult(b,c)) != mult(a,mult(a,mult(b,c)))
| mult(mult(a,a),mult(b,c)) = mult(mult(a,mult(a,b)),c) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(a,a),mult(b,c)),mult(a,mult(a,mult(b,c)))) ),[1],$fot(mult(mult(a,mult(a,b)),c))]]) ).
cnf(refute_0_16,plain,
( mult(a,mult(a,mult(b,c))) != mult(mult(a,mult(a,b)),c)
| mult(mult(a,a),mult(b,c)) = mult(mult(a,mult(a,b)),c) ),
inference(resolve,[$cnf( $equal(mult(mult(a,a),mult(b,c)),mult(a,mult(a,mult(b,c)))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
mult(a,mult(a,mult(b,c))) != mult(mult(a,mult(a,b)),c),
inference(resolve,[$cnf( $equal(mult(mult(a,a),mult(b,c)),mult(mult(a,mult(a,b)),c)) )],[refute_0_16,goals]) ).
cnf(refute_0_18,plain,
ld(A,mult(A,mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))))) = mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))),
inference(subst,[],[c02:[bind(B,$fot(mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35)))))]]) ).
cnf(refute_0_19,plain,
mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)) = B,
inference(subst,[],[c01:[bind(A,$fot(mult(X_18,mult(X_19,X_19))))]]) ).
cnf(refute_0_20,plain,
mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))) = mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)),
inference(subst,[],[c07:[bind(A,$fot(X_18)),bind(B,$fot(X_19)),bind(C,$fot(ld(mult(X_18,mult(X_19,X_19)),B)))]]) ).
cnf(refute_0_21,plain,
( mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))) != mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B))
| mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)) = mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))))),bind(Y,$fot(mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B))))]]) ).
cnf(refute_0_22,plain,
mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)) = mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))),
inference(resolve,[$cnf( $equal(mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))),mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)) != B
| mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)) != mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B))))
| mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)),B) ),[0],$fot(mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))))]]) ).
cnf(refute_0_24,plain,
( mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)) != B
| mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))) = B ),
inference(resolve,[$cnf( $equal(mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)),mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B))))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
mult(X_18,mult(X_19,mult(X_19,ld(mult(X_18,mult(X_19,X_19)),B)))) = B,
inference(resolve,[$cnf( $equal(mult(mult(X_18,mult(X_19,X_19)),ld(mult(X_18,mult(X_19,X_19)),B)),B) )],[refute_0_19,refute_0_24]) ).
cnf(refute_0_26,plain,
mult(A,mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35)))) = X_35,
inference(subst,[],[refute_0_25:[bind(B,$fot(X_35)),bind(X_18,$fot(A)),bind(X_19,$fot(X_37))]]) ).
cnf(refute_0_27,plain,
( ld(A,mult(A,mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))))) != mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35)))
| mult(A,mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35)))) != X_35
| ld(A,X_35) = mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))))),mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35)))) ),[0,1],$fot(X_35)]]) ).
cnf(refute_0_28,plain,
( ld(A,mult(A,mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))))) != mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35)))
| ld(A,X_35) = mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))) ),
inference(resolve,[$cnf( $equal(mult(A,mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35)))),X_35) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
ld(A,X_35) = mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35))))),mult(X_37,mult(X_37,ld(mult(A,mult(X_37,X_37)),X_35)))) )],[refute_0_18,refute_0_28]) ).
cnf(refute_0_30,plain,
ld(rd(A,mult(X_63,X_63)),X_62) = mult(X_63,mult(X_63,ld(mult(rd(A,mult(X_63,X_63)),mult(X_63,X_63)),X_62))),
inference(subst,[],[refute_0_29:[bind(A,$fot(rd(A,mult(X_63,X_63)))),bind(X_35,$fot(X_62)),bind(X_37,$fot(X_63))]]) ).
cnf(refute_0_31,plain,
mult(rd(A,mult(X_63,X_63)),mult(X_63,X_63)) = A,
inference(subst,[],[c03:[bind(B,$fot(mult(X_63,X_63)))]]) ).
cnf(refute_0_32,plain,
( ld(rd(A,mult(X_63,X_63)),X_62) != mult(X_63,mult(X_63,ld(mult(rd(A,mult(X_63,X_63)),mult(X_63,X_63)),X_62)))
| mult(rd(A,mult(X_63,X_63)),mult(X_63,X_63)) != A
| ld(rd(A,mult(X_63,X_63)),X_62) = mult(X_63,mult(X_63,ld(A,X_62))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(A,mult(X_63,X_63)),X_62),mult(X_63,mult(X_63,ld(mult(rd(A,mult(X_63,X_63)),mult(X_63,X_63)),X_62)))) ),[1,1,1,0],$fot(A)]]) ).
cnf(refute_0_33,plain,
( ld(rd(A,mult(X_63,X_63)),X_62) != mult(X_63,mult(X_63,ld(mult(rd(A,mult(X_63,X_63)),mult(X_63,X_63)),X_62)))
| ld(rd(A,mult(X_63,X_63)),X_62) = mult(X_63,mult(X_63,ld(A,X_62))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_63,X_63)),mult(X_63,X_63)),A) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
ld(rd(A,mult(X_63,X_63)),X_62) = mult(X_63,mult(X_63,ld(A,X_62))),
inference(resolve,[$cnf( $equal(ld(rd(A,mult(X_63,X_63)),X_62),mult(X_63,mult(X_63,ld(mult(rd(A,mult(X_63,X_63)),mult(X_63,X_63)),X_62)))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = mult(X_227,mult(X_227,ld(ld(X_85,unit),X_226))),
inference(subst,[],[refute_0_34:[bind(A,$fot(ld(X_85,unit))),bind(X_62,$fot(X_226)),bind(X_63,$fot(X_227))]]) ).
cnf(refute_0_36,plain,
ld(rd(X_51,mult(X_52,X_52)),mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53)))) = mult(X_52,mult(X_52,X_53)),
inference(subst,[],[c02:[bind(A,$fot(rd(X_51,mult(X_52,X_52)))),bind(B,$fot(mult(X_52,mult(X_52,X_53))))]]) ).
cnf(refute_0_37,plain,
mult(rd(A,mult(X_19,X_19)),mult(X_19,mult(X_19,X_20))) = mult(mult(rd(A,mult(X_19,X_19)),mult(X_19,X_19)),X_20),
inference(subst,[],[c07:[bind(A,$fot(rd(A,mult(X_19,X_19)))),bind(B,$fot(X_19)),bind(C,$fot(X_20))]]) ).
cnf(refute_0_38,plain,
mult(rd(A,mult(X_19,X_19)),mult(X_19,X_19)) = A,
inference(subst,[],[c03:[bind(B,$fot(mult(X_19,X_19)))]]) ).
cnf(refute_0_39,plain,
( mult(rd(A,mult(X_19,X_19)),mult(X_19,X_19)) != A
| mult(rd(A,mult(X_19,X_19)),mult(X_19,mult(X_19,X_20))) != mult(mult(rd(A,mult(X_19,X_19)),mult(X_19,X_19)),X_20)
| mult(rd(A,mult(X_19,X_19)),mult(X_19,mult(X_19,X_20))) = mult(A,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,mult(X_19,X_19)),mult(X_19,mult(X_19,X_20))),mult(mult(rd(A,mult(X_19,X_19)),mult(X_19,X_19)),X_20)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_40,plain,
( mult(rd(A,mult(X_19,X_19)),mult(X_19,mult(X_19,X_20))) != mult(mult(rd(A,mult(X_19,X_19)),mult(X_19,X_19)),X_20)
| mult(rd(A,mult(X_19,X_19)),mult(X_19,mult(X_19,X_20))) = mult(A,X_20) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_19,X_19)),mult(X_19,X_19)),A) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
mult(rd(A,mult(X_19,X_19)),mult(X_19,mult(X_19,X_20))) = mult(A,X_20),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_19,X_19)),mult(X_19,mult(X_19,X_20))),mult(mult(rd(A,mult(X_19,X_19)),mult(X_19,X_19)),X_20)) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))) = mult(X_51,X_53),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_51)),bind(X_19,$fot(X_52)),bind(X_20,$fot(X_53))]]) ).
cnf(refute_0_43,plain,
( ld(rd(X_51,mult(X_52,X_52)),mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53)))) != mult(X_52,mult(X_52,X_53))
| mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))) != mult(X_51,X_53)
| ld(rd(X_51,mult(X_52,X_52)),mult(X_51,X_53)) = mult(X_52,mult(X_52,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_51,mult(X_52,X_52)),mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53)))),mult(X_52,mult(X_52,X_53))) ),[0,1],$fot(mult(X_51,X_53))]]) ).
cnf(refute_0_44,plain,
( ld(rd(X_51,mult(X_52,X_52)),mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53)))) != mult(X_52,mult(X_52,X_53))
| ld(rd(X_51,mult(X_52,X_52)),mult(X_51,X_53)) = mult(X_52,mult(X_52,X_53)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))),mult(X_51,X_53)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
ld(rd(X_51,mult(X_52,X_52)),mult(X_51,X_53)) = mult(X_52,mult(X_52,X_53)),
inference(resolve,[$cnf( $equal(ld(rd(X_51,mult(X_52,X_52)),mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53)))),mult(X_52,mult(X_52,X_53))) )],[refute_0_36,refute_0_44]) ).
cnf(refute_0_46,plain,
ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = mult(X_85,mult(X_85,ld(X_85,B))),
inference(subst,[],[refute_0_45:[bind(X_51,$fot(X_84)),bind(X_52,$fot(X_85)),bind(X_53,$fot(ld(X_85,B)))]]) ).
cnf(refute_0_47,plain,
mult(X_85,ld(X_85,B)) = B,
inference(subst,[],[c01:[bind(A,$fot(X_85))]]) ).
cnf(refute_0_48,plain,
( ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) != mult(X_85,mult(X_85,ld(X_85,B)))
| mult(X_85,ld(X_85,B)) != B
| ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = mult(X_85,B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))),mult(X_85,mult(X_85,ld(X_85,B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_49,plain,
( ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) != mult(X_85,mult(X_85,ld(X_85,B)))
| ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = mult(X_85,B) ),
inference(resolve,[$cnf( $equal(mult(X_85,ld(X_85,B)),B) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = mult(X_85,B),
inference(resolve,[$cnf( $equal(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))),mult(X_85,mult(X_85,ld(X_85,B)))) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
rd(mult(X_11,ld(X_11,B)),ld(X_11,B)) = X_11,
inference(subst,[],[c04:[bind(A,$fot(X_11)),bind(B,$fot(ld(X_11,B)))]]) ).
cnf(refute_0_52,plain,
mult(X_11,ld(X_11,B)) = B,
inference(subst,[],[c01:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_53,plain,
( mult(X_11,ld(X_11,B)) != B
| rd(mult(X_11,ld(X_11,B)),ld(X_11,B)) != X_11
| rd(B,ld(X_11,B)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_11,ld(X_11,B)),ld(X_11,B)),X_11) ),[0,0],$fot(B)]]) ).
cnf(refute_0_54,plain,
( rd(mult(X_11,ld(X_11,B)),ld(X_11,B)) != X_11
| rd(B,ld(X_11,B)) = X_11 ),
inference(resolve,[$cnf( $equal(mult(X_11,ld(X_11,B)),B) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
rd(B,ld(X_11,B)) = X_11,
inference(resolve,[$cnf( $equal(rd(mult(X_11,ld(X_11,B)),ld(X_11,B)),X_11) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
rd(unit,ld(rd(X_76,mult(X_76,X_76)),unit)) = rd(X_76,mult(X_76,X_76)),
inference(subst,[],[refute_0_55:[bind(B,$fot(unit)),bind(X_11,$fot(rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_57,plain,
ld(rd(X_6,B),mult(rd(X_6,B),B)) = B,
inference(subst,[],[c02:[bind(A,$fot(rd(X_6,B)))]]) ).
cnf(refute_0_58,plain,
mult(rd(X_6,B),B) = X_6,
inference(subst,[],[c03:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_59,plain,
( ld(rd(X_6,B),mult(rd(X_6,B),B)) != B
| mult(rd(X_6,B),B) != X_6
| ld(rd(X_6,B),X_6) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_6,B),mult(rd(X_6,B),B)),B) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_60,plain,
( ld(rd(X_6,B),mult(rd(X_6,B),B)) != B
| ld(rd(X_6,B),X_6) = B ),
inference(resolve,[$cnf( $equal(mult(rd(X_6,B),B),X_6) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
ld(rd(X_6,B),X_6) = B,
inference(resolve,[$cnf( $equal(ld(rd(X_6,B),mult(rd(X_6,B),B)),B) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
ld(rd(ld(B,unit),B),ld(B,unit)) = B,
inference(subst,[],[refute_0_61:[bind(X_6,$fot(ld(B,unit)))]]) ).
cnf(refute_0_63,plain,
rd(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))),mult(X_52,mult(X_52,X_53))) = rd(X_51,mult(X_52,X_52)),
inference(subst,[],[c04:[bind(A,$fot(rd(X_51,mult(X_52,X_52)))),bind(B,$fot(mult(X_52,mult(X_52,X_53))))]]) ).
cnf(refute_0_64,plain,
( mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))) != mult(X_51,X_53)
| rd(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))),mult(X_52,mult(X_52,X_53))) != rd(X_51,mult(X_52,X_52))
| rd(mult(X_51,X_53),mult(X_52,mult(X_52,X_53))) = rd(X_51,mult(X_52,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))),mult(X_52,mult(X_52,X_53))),rd(X_51,mult(X_52,X_52))) ),[0,0],$fot(mult(X_51,X_53))]]) ).
cnf(refute_0_65,plain,
( rd(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))),mult(X_52,mult(X_52,X_53))) != rd(X_51,mult(X_52,X_52))
| rd(mult(X_51,X_53),mult(X_52,mult(X_52,X_53))) = rd(X_51,mult(X_52,X_52)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))),mult(X_51,X_53)) )],[refute_0_42,refute_0_64]) ).
cnf(refute_0_66,plain,
rd(mult(X_51,X_53),mult(X_52,mult(X_52,X_53))) = rd(X_51,mult(X_52,X_52)),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,X_53))),mult(X_52,mult(X_52,X_53))),rd(X_51,mult(X_52,X_52))) )],[refute_0_63,refute_0_65]) ).
cnf(refute_0_67,plain,
rd(mult(unit,X_71),mult(X_70,mult(X_70,X_71))) = rd(unit,mult(X_70,X_70)),
inference(subst,[],[refute_0_66:[bind(X_51,$fot(unit)),bind(X_52,$fot(X_70)),bind(X_53,$fot(X_71))]]) ).
cnf(refute_0_68,plain,
mult(unit,X_71) = X_71,
inference(subst,[],[c06:[bind(A,$fot(X_71))]]) ).
cnf(refute_0_69,plain,
( mult(unit,X_71) != X_71
| rd(mult(unit,X_71),mult(X_70,mult(X_70,X_71))) != rd(unit,mult(X_70,X_70))
| rd(X_71,mult(X_70,mult(X_70,X_71))) = rd(unit,mult(X_70,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(unit,X_71),mult(X_70,mult(X_70,X_71))),rd(unit,mult(X_70,X_70))) ),[0,0],$fot(X_71)]]) ).
cnf(refute_0_70,plain,
( rd(mult(unit,X_71),mult(X_70,mult(X_70,X_71))) != rd(unit,mult(X_70,X_70))
| rd(X_71,mult(X_70,mult(X_70,X_71))) = rd(unit,mult(X_70,X_70)) ),
inference(resolve,[$cnf( $equal(mult(unit,X_71),X_71) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
rd(X_71,mult(X_70,mult(X_70,X_71))) = rd(unit,mult(X_70,X_70)),
inference(resolve,[$cnf( $equal(rd(mult(unit,X_71),mult(X_70,mult(X_70,X_71))),rd(unit,mult(X_70,X_70))) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(unit,mult(rd(unit,B),rd(unit,B))),
inference(subst,[],[refute_0_71:[bind(X_70,$fot(rd(unit,B))),bind(X_71,$fot(X_73))]]) ).
cnf(refute_0_73,plain,
rd(mult(mult(X_21,X_21),B),B) = mult(X_21,X_21),
inference(subst,[],[c04:[bind(A,$fot(mult(X_21,X_21)))]]) ).
cnf(refute_0_74,plain,
mult(X_21,mult(X_21,B)) = mult(mult(X_21,X_21),B),
inference(subst,[],[refute_0_8:[bind(X_19,$fot(X_21)),bind(X_20,$fot(B))]]) ).
cnf(refute_0_75,plain,
( mult(X_21,mult(X_21,B)) != mult(mult(X_21,X_21),B)
| mult(mult(X_21,X_21),B) = mult(X_21,mult(X_21,B)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(X_21,mult(X_21,B)))),bind(Y,$fot(mult(mult(X_21,X_21),B)))]]) ).
cnf(refute_0_76,plain,
mult(mult(X_21,X_21),B) = mult(X_21,mult(X_21,B)),
inference(resolve,[$cnf( $equal(mult(X_21,mult(X_21,B)),mult(mult(X_21,X_21),B)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( mult(mult(X_21,X_21),B) != mult(X_21,mult(X_21,B))
| rd(mult(mult(X_21,X_21),B),B) != mult(X_21,X_21)
| rd(mult(X_21,mult(X_21,B)),B) = mult(X_21,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_21,X_21),B),B),mult(X_21,X_21)) ),[0,0],$fot(mult(X_21,mult(X_21,B)))]]) ).
cnf(refute_0_78,plain,
( rd(mult(mult(X_21,X_21),B),B) != mult(X_21,X_21)
| rd(mult(X_21,mult(X_21,B)),B) = mult(X_21,X_21) ),
inference(resolve,[$cnf( $equal(mult(mult(X_21,X_21),B),mult(X_21,mult(X_21,B))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
rd(mult(X_21,mult(X_21,B)),B) = mult(X_21,X_21),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_21,X_21),B),B),mult(X_21,X_21)) )],[refute_0_73,refute_0_78]) ).
cnf(refute_0_80,plain,
rd(mult(X_26,mult(X_26,ld(X_26,B))),ld(X_26,B)) = mult(X_26,X_26),
inference(subst,[],[refute_0_79:[bind(B,$fot(ld(X_26,B))),bind(X_21,$fot(X_26))]]) ).
cnf(refute_0_81,plain,
mult(X_26,ld(X_26,B)) = B,
inference(subst,[],[c01:[bind(A,$fot(X_26))]]) ).
cnf(refute_0_82,plain,
( mult(X_26,ld(X_26,B)) != B
| rd(mult(X_26,mult(X_26,ld(X_26,B))),ld(X_26,B)) != mult(X_26,X_26)
| rd(mult(X_26,B),ld(X_26,B)) = mult(X_26,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_26,mult(X_26,ld(X_26,B))),ld(X_26,B)),mult(X_26,X_26)) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_83,plain,
( rd(mult(X_26,mult(X_26,ld(X_26,B))),ld(X_26,B)) != mult(X_26,X_26)
| rd(mult(X_26,B),ld(X_26,B)) = mult(X_26,X_26) ),
inference(resolve,[$cnf( $equal(mult(X_26,ld(X_26,B)),B) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
rd(mult(X_26,B),ld(X_26,B)) = mult(X_26,X_26),
inference(resolve,[$cnf( $equal(rd(mult(X_26,mult(X_26,ld(X_26,B))),ld(X_26,B)),mult(X_26,X_26)) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
rd(mult(X_30,unit),ld(X_30,unit)) = mult(X_30,X_30),
inference(subst,[],[refute_0_84:[bind(B,$fot(unit)),bind(X_26,$fot(X_30))]]) ).
cnf(refute_0_86,plain,
mult(X_30,unit) = X_30,
inference(subst,[],[c05:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_87,plain,
( mult(X_30,unit) != X_30
| rd(mult(X_30,unit),ld(X_30,unit)) != mult(X_30,X_30)
| rd(X_30,ld(X_30,unit)) = mult(X_30,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_30,unit),ld(X_30,unit)),mult(X_30,X_30)) ),[0,0],$fot(X_30)]]) ).
cnf(refute_0_88,plain,
( rd(mult(X_30,unit),ld(X_30,unit)) != mult(X_30,X_30)
| rd(X_30,ld(X_30,unit)) = mult(X_30,X_30) ),
inference(resolve,[$cnf( $equal(mult(X_30,unit),X_30) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
rd(X_30,ld(X_30,unit)) = mult(X_30,X_30),
inference(resolve,[$cnf( $equal(rd(mult(X_30,unit),ld(X_30,unit)),mult(X_30,X_30)) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
rd(rd(unit,B),ld(rd(unit,B),unit)) = mult(rd(unit,B),rd(unit,B)),
inference(subst,[],[refute_0_89:[bind(X_30,$fot(rd(unit,B)))]]) ).
cnf(refute_0_91,plain,
ld(rd(unit,B),unit) = B,
inference(subst,[],[refute_0_61:[bind(X_6,$fot(unit))]]) ).
cnf(refute_0_92,plain,
( ld(rd(unit,B),unit) != B
| rd(rd(unit,B),ld(rd(unit,B),unit)) != mult(rd(unit,B),rd(unit,B))
| rd(rd(unit,B),B) = mult(rd(unit,B),rd(unit,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(unit,B),ld(rd(unit,B),unit)),mult(rd(unit,B),rd(unit,B))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_93,plain,
( rd(rd(unit,B),ld(rd(unit,B),unit)) != mult(rd(unit,B),rd(unit,B))
| rd(rd(unit,B),B) = mult(rd(unit,B),rd(unit,B)) ),
inference(resolve,[$cnf( $equal(ld(rd(unit,B),unit),B) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
rd(rd(unit,B),B) = mult(rd(unit,B),rd(unit,B)),
inference(resolve,[$cnf( $equal(rd(rd(unit,B),ld(rd(unit,B),unit)),mult(rd(unit,B),rd(unit,B))) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
( rd(rd(unit,B),B) != mult(rd(unit,B),rd(unit,B))
| mult(rd(unit,B),rd(unit,B)) = rd(rd(unit,B),B) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(rd(unit,B),B))),bind(Y,$fot(mult(rd(unit,B),rd(unit,B))))]]) ).
cnf(refute_0_96,plain,
mult(rd(unit,B),rd(unit,B)) = rd(rd(unit,B),B),
inference(resolve,[$cnf( $equal(rd(rd(unit,B),B),mult(rd(unit,B),rd(unit,B))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( mult(rd(unit,B),rd(unit,B)) != rd(rd(unit,B),B)
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) != rd(unit,mult(rd(unit,B),rd(unit,B)))
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(unit,rd(rd(unit,B),B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))),rd(unit,mult(rd(unit,B),rd(unit,B)))) ),[1,1],$fot(rd(rd(unit,B),B))]]) ).
cnf(refute_0_98,plain,
( rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) != rd(unit,mult(rd(unit,B),rd(unit,B)))
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(unit,rd(rd(unit,B),B)) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,B),rd(unit,B)),rd(rd(unit,B),B)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(unit,rd(rd(unit,B),B)),
inference(resolve,[$cnf( $equal(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))),rd(unit,mult(rd(unit,B),rd(unit,B)))) )],[refute_0_72,refute_0_98]) ).
cnf(refute_0_100,plain,
mult(rd(unit,B),unit) = rd(unit,B),
inference(subst,[],[c05:[bind(A,$fot(rd(unit,B)))]]) ).
cnf(refute_0_101,plain,
rd(B,mult(rd(unit,B),unit)) = rd(B,mult(rd(unit,B),unit)),
introduced(tautology,[refl,[$fot(rd(B,mult(rd(unit,B),unit)))]]) ).
cnf(refute_0_102,plain,
( mult(rd(unit,B),unit) != rd(unit,B)
| rd(B,mult(rd(unit,B),unit)) != rd(B,mult(rd(unit,B),unit))
| rd(B,mult(rd(unit,B),unit)) = rd(B,rd(unit,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(B,mult(rd(unit,B),unit)),rd(B,mult(rd(unit,B),unit))) ),[1,1],$fot(rd(unit,B))]]) ).
cnf(refute_0_103,plain,
( mult(rd(unit,B),unit) != rd(unit,B)
| rd(B,mult(rd(unit,B),unit)) = rd(B,rd(unit,B)) ),
inference(resolve,[$cnf( $equal(rd(B,mult(rd(unit,B),unit)),rd(B,mult(rd(unit,B),unit))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
rd(B,mult(rd(unit,B),unit)) = rd(B,rd(unit,B)),
inference(resolve,[$cnf( $equal(mult(rd(unit,B),unit),rd(unit,B)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
rd(X_73,mult(rd(A,X_73),mult(rd(A,X_73),X_73))) = rd(unit,mult(rd(A,X_73),rd(A,X_73))),
inference(subst,[],[refute_0_71:[bind(X_70,$fot(rd(A,X_73))),bind(X_71,$fot(X_73))]]) ).
cnf(refute_0_106,plain,
mult(rd(A,X_73),X_73) = A,
inference(subst,[],[c03:[bind(B,$fot(X_73))]]) ).
cnf(refute_0_107,plain,
( mult(rd(A,X_73),X_73) != A
| rd(X_73,mult(rd(A,X_73),mult(rd(A,X_73),X_73))) != rd(unit,mult(rd(A,X_73),rd(A,X_73)))
| rd(X_73,mult(rd(A,X_73),A)) = rd(unit,mult(rd(A,X_73),rd(A,X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_73,mult(rd(A,X_73),mult(rd(A,X_73),X_73))),rd(unit,mult(rd(A,X_73),rd(A,X_73)))) ),[0,1,1],$fot(A)]]) ).
cnf(refute_0_108,plain,
( rd(X_73,mult(rd(A,X_73),mult(rd(A,X_73),X_73))) != rd(unit,mult(rd(A,X_73),rd(A,X_73)))
| rd(X_73,mult(rd(A,X_73),A)) = rd(unit,mult(rd(A,X_73),rd(A,X_73))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_73),X_73),A) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
rd(X_73,mult(rd(A,X_73),A)) = rd(unit,mult(rd(A,X_73),rd(A,X_73))),
inference(resolve,[$cnf( $equal(rd(X_73,mult(rd(A,X_73),mult(rd(A,X_73),X_73))),rd(unit,mult(rd(A,X_73),rd(A,X_73)))) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( rd(X_73,mult(rd(A,X_73),A)) != rd(unit,mult(rd(A,X_73),rd(A,X_73)))
| rd(unit,mult(rd(A,X_73),rd(A,X_73))) = rd(X_73,mult(rd(A,X_73),A)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(X_73,mult(rd(A,X_73),A)))),bind(Y,$fot(rd(unit,mult(rd(A,X_73),rd(A,X_73)))))]]) ).
cnf(refute_0_111,plain,
rd(unit,mult(rd(A,X_73),rd(A,X_73))) = rd(X_73,mult(rd(A,X_73),A)),
inference(resolve,[$cnf( $equal(rd(X_73,mult(rd(A,X_73),A)),rd(unit,mult(rd(A,X_73),rd(A,X_73)))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
rd(unit,mult(rd(unit,B),rd(unit,B))) = rd(B,mult(rd(unit,B),unit)),
inference(subst,[],[refute_0_111:[bind(A,$fot(unit)),bind(X_73,$fot(B))]]) ).
cnf(refute_0_113,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_114,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_11,refute_0_113]) ).
cnf(refute_0_115,plain,
( rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) != rd(unit,mult(rd(unit,B),rd(unit,B)))
| rd(unit,mult(rd(unit,B),rd(unit,B))) != rd(B,mult(rd(unit,B),unit))
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(B,mult(rd(unit,B),unit)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))))),bind(Y,$fot(rd(unit,mult(rd(unit,B),rd(unit,B))))),bind(Z,$fot(rd(B,mult(rd(unit,B),unit))))]]) ).
cnf(refute_0_116,plain,
( rd(unit,mult(rd(unit,B),rd(unit,B))) != rd(B,mult(rd(unit,B),unit))
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(B,mult(rd(unit,B),unit)) ),
inference(resolve,[$cnf( $equal(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))),rd(unit,mult(rd(unit,B),rd(unit,B)))) )],[refute_0_72,refute_0_115]) ).
cnf(refute_0_117,plain,
rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(B,mult(rd(unit,B),unit)),
inference(resolve,[$cnf( $equal(rd(unit,mult(rd(unit,B),rd(unit,B))),rd(B,mult(rd(unit,B),unit))) )],[refute_0_112,refute_0_116]) ).
cnf(refute_0_118,plain,
( rd(B,mult(rd(unit,B),unit)) != rd(B,rd(unit,B))
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) != rd(B,mult(rd(unit,B),unit))
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(B,rd(unit,B)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))))),bind(Y,$fot(rd(B,mult(rd(unit,B),unit)))),bind(Z,$fot(rd(B,rd(unit,B))))]]) ).
cnf(refute_0_119,plain,
( rd(B,mult(rd(unit,B),unit)) != rd(B,rd(unit,B))
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(B,rd(unit,B)) ),
inference(resolve,[$cnf( $equal(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))),rd(B,mult(rd(unit,B),unit))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) = rd(B,rd(unit,B)),
inference(resolve,[$cnf( $equal(rd(B,mult(rd(unit,B),unit)),rd(B,rd(unit,B))) )],[refute_0_104,refute_0_119]) ).
cnf(refute_0_121,plain,
( rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) != rd(B,rd(unit,B))
| rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) != rd(unit,rd(rd(unit,B),B))
| rd(B,rd(unit,B)) = rd(unit,rd(rd(unit,B),B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))),rd(unit,rd(rd(unit,B),B))) ),[0],$fot(rd(B,rd(unit,B)))]]) ).
cnf(refute_0_122,plain,
( rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))) != rd(unit,rd(rd(unit,B),B))
| rd(B,rd(unit,B)) = rd(unit,rd(rd(unit,B),B)) ),
inference(resolve,[$cnf( $equal(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))),rd(B,rd(unit,B))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
rd(B,rd(unit,B)) = rd(unit,rd(rd(unit,B),B)),
inference(resolve,[$cnf( $equal(rd(X_73,mult(rd(unit,B),mult(rd(unit,B),X_73))),rd(unit,rd(rd(unit,B),B))) )],[refute_0_99,refute_0_122]) ).
cnf(refute_0_124,plain,
rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = rd(unit,rd(rd(unit,ld(X_11,unit)),ld(X_11,unit))),
inference(subst,[],[refute_0_123:[bind(B,$fot(ld(X_11,unit)))]]) ).
cnf(refute_0_125,plain,
rd(unit,ld(X_11,unit)) = X_11,
inference(subst,[],[refute_0_55:[bind(B,$fot(unit))]]) ).
cnf(refute_0_126,plain,
( rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != rd(unit,rd(rd(unit,ld(X_11,unit)),ld(X_11,unit)))
| rd(unit,ld(X_11,unit)) != X_11
| rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = rd(unit,rd(X_11,ld(X_11,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),rd(unit,rd(rd(unit,ld(X_11,unit)),ld(X_11,unit)))) ),[1,1,0],$fot(X_11)]]) ).
cnf(refute_0_127,plain,
( rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != rd(unit,rd(rd(unit,ld(X_11,unit)),ld(X_11,unit)))
| rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = rd(unit,rd(X_11,ld(X_11,unit))) ),
inference(resolve,[$cnf( $equal(rd(unit,ld(X_11,unit)),X_11) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = rd(unit,rd(X_11,ld(X_11,unit))),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),rd(unit,rd(rd(unit,ld(X_11,unit)),ld(X_11,unit)))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),
introduced(tautology,[refl,[$fot(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))))]]) ).
cnf(refute_0_130,plain,
( rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != rd(ld(X_11,unit),rd(unit,ld(X_11,unit)))
| rd(unit,ld(X_11,unit)) != X_11
| rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = rd(ld(X_11,unit),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),rd(ld(X_11,unit),rd(unit,ld(X_11,unit)))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_131,plain,
( rd(unit,ld(X_11,unit)) != X_11
| rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = rd(ld(X_11,unit),X_11) ),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),rd(ld(X_11,unit),rd(unit,ld(X_11,unit)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = rd(ld(X_11,unit),X_11),
inference(resolve,[$cnf( $equal(rd(unit,ld(X_11,unit)),X_11) )],[refute_0_125,refute_0_131]) ).
cnf(refute_0_133,plain,
( rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != rd(ld(X_11,unit),X_11)
| rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != rd(unit,rd(X_11,ld(X_11,unit)))
| rd(ld(X_11,unit),X_11) = rd(unit,rd(X_11,ld(X_11,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),rd(unit,rd(X_11,ld(X_11,unit)))) ),[0],$fot(rd(ld(X_11,unit),X_11))]]) ).
cnf(refute_0_134,plain,
( rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != rd(unit,rd(X_11,ld(X_11,unit)))
| rd(ld(X_11,unit),X_11) = rd(unit,rd(X_11,ld(X_11,unit))) ),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),rd(ld(X_11,unit),X_11)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
rd(X_11,ld(X_11,unit)) = mult(X_11,X_11),
inference(subst,[],[refute_0_89:[bind(X_30,$fot(X_11))]]) ).
cnf(refute_0_136,plain,
rd(unit,rd(X_11,ld(X_11,unit))) = rd(unit,rd(X_11,ld(X_11,unit))),
introduced(tautology,[refl,[$fot(rd(unit,rd(X_11,ld(X_11,unit))))]]) ).
cnf(refute_0_137,plain,
( rd(X_11,ld(X_11,unit)) != mult(X_11,X_11)
| rd(unit,rd(X_11,ld(X_11,unit))) != rd(unit,rd(X_11,ld(X_11,unit)))
| rd(unit,rd(X_11,ld(X_11,unit))) = rd(unit,mult(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,rd(X_11,ld(X_11,unit))),rd(unit,rd(X_11,ld(X_11,unit)))) ),[1,1],$fot(mult(X_11,X_11))]]) ).
cnf(refute_0_138,plain,
( rd(X_11,ld(X_11,unit)) != mult(X_11,X_11)
| rd(unit,rd(X_11,ld(X_11,unit))) = rd(unit,mult(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(rd(unit,rd(X_11,ld(X_11,unit))),rd(unit,rd(X_11,ld(X_11,unit)))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
rd(unit,rd(X_11,ld(X_11,unit))) = rd(unit,mult(X_11,X_11)),
inference(resolve,[$cnf( $equal(rd(X_11,ld(X_11,unit)),mult(X_11,X_11)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
( rd(ld(X_11,unit),X_11) != rd(unit,rd(X_11,ld(X_11,unit)))
| rd(unit,rd(X_11,ld(X_11,unit))) != rd(unit,mult(X_11,X_11))
| rd(ld(X_11,unit),X_11) = rd(unit,mult(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(rd(ld(X_11,unit),X_11),rd(unit,mult(X_11,X_11))) ),[0],$fot(rd(unit,rd(X_11,ld(X_11,unit))))]]) ).
cnf(refute_0_141,plain,
( rd(ld(X_11,unit),X_11) != rd(unit,rd(X_11,ld(X_11,unit)))
| rd(ld(X_11,unit),X_11) = rd(unit,mult(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(rd(unit,rd(X_11,ld(X_11,unit))),rd(unit,mult(X_11,X_11))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != rd(unit,rd(X_11,ld(X_11,unit)))
| rd(ld(X_11,unit),X_11) = rd(unit,mult(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),X_11),rd(unit,rd(X_11,ld(X_11,unit)))) )],[refute_0_134,refute_0_141]) ).
cnf(refute_0_143,plain,
rd(ld(X_11,unit),X_11) = rd(unit,mult(X_11,X_11)),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),rd(unit,rd(X_11,ld(X_11,unit)))) )],[refute_0_128,refute_0_142]) ).
cnf(refute_0_144,plain,
rd(ld(B,unit),B) = rd(unit,mult(B,B)),
inference(subst,[],[refute_0_143:[bind(X_11,$fot(B))]]) ).
cnf(refute_0_145,plain,
( ld(rd(ld(B,unit),B),ld(B,unit)) != B
| rd(ld(B,unit),B) != rd(unit,mult(B,B))
| ld(rd(unit,mult(B,B)),ld(B,unit)) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(B,unit),B),ld(B,unit)),B) ),[0,0],$fot(rd(unit,mult(B,B)))]]) ).
cnf(refute_0_146,plain,
( ld(rd(ld(B,unit),B),ld(B,unit)) != B
| ld(rd(unit,mult(B,B)),ld(B,unit)) = B ),
inference(resolve,[$cnf( $equal(rd(ld(B,unit),B),rd(unit,mult(B,B))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
ld(rd(unit,mult(B,B)),ld(B,unit)) = B,
inference(resolve,[$cnf( $equal(ld(rd(ld(B,unit),B),ld(B,unit)),B) )],[refute_0_62,refute_0_146]) ).
cnf(refute_0_148,plain,
( ld(rd(A,mult(X_63,X_63)),X_62) != mult(X_63,mult(X_63,ld(A,X_62)))
| mult(X_63,mult(X_63,ld(A,X_62))) = ld(rd(A,mult(X_63,X_63)),X_62) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(rd(A,mult(X_63,X_63)),X_62))),bind(Y,$fot(mult(X_63,mult(X_63,ld(A,X_62)))))]]) ).
cnf(refute_0_149,plain,
mult(X_63,mult(X_63,ld(A,X_62))) = ld(rd(A,mult(X_63,X_63)),X_62),
inference(resolve,[$cnf( $equal(ld(rd(A,mult(X_63,X_63)),X_62),mult(X_63,mult(X_63,ld(A,X_62)))) )],[refute_0_34,refute_0_148]) ).
cnf(refute_0_150,plain,
mult(B,mult(B,ld(B,unit))) = ld(rd(B,mult(B,B)),unit),
inference(subst,[],[refute_0_149:[bind(A,$fot(B)),bind(X_62,$fot(unit)),bind(X_63,$fot(B))]]) ).
cnf(refute_0_151,plain,
ld(rd(X_6,mult(X_72,mult(X_72,X_6))),X_6) = mult(X_72,mult(X_72,X_6)),
inference(subst,[],[refute_0_61:[bind(B,$fot(mult(X_72,mult(X_72,X_6))))]]) ).
cnf(refute_0_152,plain,
rd(X_6,mult(X_72,mult(X_72,X_6))) = rd(unit,mult(X_72,X_72)),
inference(subst,[],[refute_0_71:[bind(X_70,$fot(X_72)),bind(X_71,$fot(X_6))]]) ).
cnf(refute_0_153,plain,
( ld(rd(X_6,mult(X_72,mult(X_72,X_6))),X_6) != mult(X_72,mult(X_72,X_6))
| rd(X_6,mult(X_72,mult(X_72,X_6))) != rd(unit,mult(X_72,X_72))
| ld(rd(unit,mult(X_72,X_72)),X_6) = mult(X_72,mult(X_72,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_6,mult(X_72,mult(X_72,X_6))),X_6),mult(X_72,mult(X_72,X_6))) ),[0,0],$fot(rd(unit,mult(X_72,X_72)))]]) ).
cnf(refute_0_154,plain,
( ld(rd(X_6,mult(X_72,mult(X_72,X_6))),X_6) != mult(X_72,mult(X_72,X_6))
| ld(rd(unit,mult(X_72,X_72)),X_6) = mult(X_72,mult(X_72,X_6)) ),
inference(resolve,[$cnf( $equal(rd(X_6,mult(X_72,mult(X_72,X_6))),rd(unit,mult(X_72,X_72))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
ld(rd(unit,mult(X_72,X_72)),X_6) = mult(X_72,mult(X_72,X_6)),
inference(resolve,[$cnf( $equal(ld(rd(X_6,mult(X_72,mult(X_72,X_6))),X_6),mult(X_72,mult(X_72,X_6))) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
ld(rd(unit,mult(B,B)),ld(B,unit)) = mult(B,mult(B,ld(B,unit))),
inference(subst,[],[refute_0_155:[bind(X_6,$fot(ld(B,unit))),bind(X_72,$fot(B))]]) ).
cnf(refute_0_157,plain,
( ld(rd(unit,mult(B,B)),ld(B,unit)) != mult(B,mult(B,ld(B,unit)))
| mult(B,mult(B,ld(B,unit))) != ld(rd(B,mult(B,B)),unit)
| ld(rd(unit,mult(B,B)),ld(B,unit)) = ld(rd(B,mult(B,B)),unit) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(rd(unit,mult(B,B)),ld(B,unit)))),bind(Y,$fot(mult(B,mult(B,ld(B,unit))))),bind(Z,$fot(ld(rd(B,mult(B,B)),unit)))]]) ).
cnf(refute_0_158,plain,
( mult(B,mult(B,ld(B,unit))) != ld(rd(B,mult(B,B)),unit)
| ld(rd(unit,mult(B,B)),ld(B,unit)) = ld(rd(B,mult(B,B)),unit) ),
inference(resolve,[$cnf( $equal(ld(rd(unit,mult(B,B)),ld(B,unit)),mult(B,mult(B,ld(B,unit)))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
ld(rd(unit,mult(B,B)),ld(B,unit)) = ld(rd(B,mult(B,B)),unit),
inference(resolve,[$cnf( $equal(mult(B,mult(B,ld(B,unit))),ld(rd(B,mult(B,B)),unit)) )],[refute_0_150,refute_0_158]) ).
cnf(refute_0_160,plain,
( ld(rd(unit,mult(B,B)),ld(B,unit)) != B
| ld(rd(unit,mult(B,B)),ld(B,unit)) != ld(rd(B,mult(B,B)),unit)
| ld(rd(B,mult(B,B)),unit) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(unit,mult(B,B)),ld(B,unit)),B) ),[0],$fot(ld(rd(B,mult(B,B)),unit))]]) ).
cnf(refute_0_161,plain,
( ld(rd(unit,mult(B,B)),ld(B,unit)) != B
| ld(rd(B,mult(B,B)),unit) = B ),
inference(resolve,[$cnf( $equal(ld(rd(unit,mult(B,B)),ld(B,unit)),ld(rd(B,mult(B,B)),unit)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
ld(rd(B,mult(B,B)),unit) = B,
inference(resolve,[$cnf( $equal(ld(rd(unit,mult(B,B)),ld(B,unit)),B) )],[refute_0_147,refute_0_161]) ).
cnf(refute_0_163,plain,
ld(rd(X_76,mult(X_76,X_76)),unit) = X_76,
inference(subst,[],[refute_0_162:[bind(B,$fot(X_76))]]) ).
cnf(refute_0_164,plain,
( ld(rd(X_76,mult(X_76,X_76)),unit) != X_76
| rd(unit,ld(rd(X_76,mult(X_76,X_76)),unit)) != rd(X_76,mult(X_76,X_76))
| rd(unit,X_76) = rd(X_76,mult(X_76,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),unit)),rd(X_76,mult(X_76,X_76))) ),[0,1],$fot(X_76)]]) ).
cnf(refute_0_165,plain,
( rd(unit,ld(rd(X_76,mult(X_76,X_76)),unit)) != rd(X_76,mult(X_76,X_76))
| rd(unit,X_76) = rd(X_76,mult(X_76,X_76)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_76,mult(X_76,X_76)),unit),X_76) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
rd(unit,X_76) = rd(X_76,mult(X_76,X_76)),
inference(resolve,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),unit)),rd(X_76,mult(X_76,X_76))) )],[refute_0_56,refute_0_165]) ).
cnf(refute_0_167,plain,
ld(rd(X_6,rd(unit,X_6)),X_6) = rd(unit,X_6),
inference(subst,[],[refute_0_61:[bind(B,$fot(rd(unit,X_6)))]]) ).
cnf(refute_0_168,plain,
rd(ld(rd(X_76,mult(X_76,X_76)),unit),rd(X_76,mult(X_76,X_76))) = rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),
inference(subst,[],[refute_0_143:[bind(X_11,$fot(rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_169,plain,
( ld(rd(X_76,mult(X_76,X_76)),unit) != X_76
| rd(ld(rd(X_76,mult(X_76,X_76)),unit),rd(X_76,mult(X_76,X_76))) != rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(X_76,rd(X_76,mult(X_76,X_76))) = rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(rd(X_76,mult(X_76,X_76)),unit),rd(X_76,mult(X_76,X_76))),rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) ),[0,0],$fot(X_76)]]) ).
cnf(refute_0_170,plain,
( rd(ld(rd(X_76,mult(X_76,X_76)),unit),rd(X_76,mult(X_76,X_76))) != rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(X_76,rd(X_76,mult(X_76,X_76))) = rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_76,mult(X_76,X_76)),unit),X_76) )],[refute_0_163,refute_0_169]) ).
cnf(refute_0_171,plain,
rd(X_76,rd(X_76,mult(X_76,X_76))) = rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),
inference(resolve,[$cnf( $equal(rd(ld(rd(X_76,mult(X_76,X_76)),unit),rd(X_76,mult(X_76,X_76))),rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) )],[refute_0_168,refute_0_170]) ).
cnf(refute_0_172,plain,
( rd(unit,X_76) != rd(X_76,mult(X_76,X_76))
| rd(X_76,mult(X_76,X_76)) = rd(unit,X_76) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(unit,X_76))),bind(Y,$fot(rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_173,plain,
rd(X_76,mult(X_76,X_76)) = rd(unit,X_76),
inference(resolve,[$cnf( $equal(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) )],[refute_0_166,refute_0_172]) ).
cnf(refute_0_174,plain,
rd(X_76,rd(X_76,mult(X_76,X_76))) = rd(X_76,rd(X_76,mult(X_76,X_76))),
introduced(tautology,[refl,[$fot(rd(X_76,rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_175,plain,
( rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| rd(X_76,rd(X_76,mult(X_76,X_76))) != rd(X_76,rd(X_76,mult(X_76,X_76)))
| rd(X_76,rd(X_76,mult(X_76,X_76))) = rd(X_76,rd(unit,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_76,rd(X_76,mult(X_76,X_76))),rd(X_76,rd(X_76,mult(X_76,X_76)))) ),[1,1],$fot(rd(unit,X_76))]]) ).
cnf(refute_0_176,plain,
( rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| rd(X_76,rd(X_76,mult(X_76,X_76))) = rd(X_76,rd(unit,X_76)) ),
inference(resolve,[$cnf( $equal(rd(X_76,rd(X_76,mult(X_76,X_76))),rd(X_76,rd(X_76,mult(X_76,X_76)))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
rd(X_76,rd(X_76,mult(X_76,X_76))) = rd(X_76,rd(unit,X_76)),
inference(resolve,[$cnf( $equal(rd(X_76,mult(X_76,X_76)),rd(unit,X_76)) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
( rd(X_76,rd(X_76,mult(X_76,X_76))) != rd(X_76,rd(unit,X_76))
| rd(X_76,rd(X_76,mult(X_76,X_76))) != rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(X_76,rd(unit,X_76)) = rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_76,rd(X_76,mult(X_76,X_76))),rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) ),[0],$fot(rd(X_76,rd(unit,X_76)))]]) ).
cnf(refute_0_179,plain,
( rd(X_76,rd(X_76,mult(X_76,X_76))) != rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(X_76,rd(unit,X_76)) = rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
inference(resolve,[$cnf( $equal(rd(X_76,rd(X_76,mult(X_76,X_76))),rd(X_76,rd(unit,X_76))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
mult(rd(X_6,unit),unit) = rd(X_6,unit),
inference(subst,[],[c05:[bind(A,$fot(rd(X_6,unit)))]]) ).
cnf(refute_0_181,plain,
mult(rd(X_6,unit),unit) = X_6,
inference(subst,[],[c03:[bind(A,$fot(X_6)),bind(B,$fot(unit))]]) ).
cnf(refute_0_182,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_183,plain,
( mult(rd(X_6,unit),unit) != rd(X_6,unit)
| X_6 = rd(X_6,unit) ),
inference(resolve,[$cnf( $equal(mult(rd(X_6,unit),unit),X_6) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
X_6 = rd(X_6,unit),
inference(resolve,[$cnf( $equal(mult(rd(X_6,unit),unit),rd(X_6,unit)) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
( X_6 != rd(X_6,unit)
| rd(X_6,unit) = X_6 ),
inference(subst,[],[refute_0_11:[bind(X,$fot(X_6)),bind(Y,$fot(rd(X_6,unit)))]]) ).
cnf(refute_0_186,plain,
rd(X_6,unit) = X_6,
inference(resolve,[$cnf( $equal(X_6,rd(X_6,unit)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
rd(mult(X_76,X_76),unit) = mult(X_76,X_76),
inference(subst,[],[refute_0_186:[bind(X_6,$fot(mult(X_76,X_76)))]]) ).
cnf(refute_0_188,plain,
mult(rd(unit,X_76),X_76) = unit,
inference(subst,[],[c03:[bind(A,$fot(unit)),bind(B,$fot(X_76))]]) ).
cnf(refute_0_189,plain,
mult(rd(X_76,mult(X_76,X_76)),X_76) = mult(rd(X_76,mult(X_76,X_76)),X_76),
introduced(tautology,[refl,[$fot(mult(rd(X_76,mult(X_76,X_76)),X_76))]]) ).
cnf(refute_0_190,plain,
( mult(rd(X_76,mult(X_76,X_76)),X_76) != mult(rd(X_76,mult(X_76,X_76)),X_76)
| rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| mult(rd(X_76,mult(X_76,X_76)),X_76) = mult(rd(unit,X_76),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) ),[1,0],$fot(rd(unit,X_76))]]) ).
cnf(refute_0_191,plain,
( rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| mult(rd(X_76,mult(X_76,X_76)),X_76) = mult(rd(unit,X_76),X_76) ),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
mult(rd(X_76,mult(X_76,X_76)),X_76) = mult(rd(unit,X_76),X_76),
inference(resolve,[$cnf( $equal(rd(X_76,mult(X_76,X_76)),rd(unit,X_76)) )],[refute_0_173,refute_0_191]) ).
cnf(refute_0_193,plain,
( mult(rd(X_76,mult(X_76,X_76)),X_76) != mult(rd(unit,X_76),X_76)
| mult(rd(unit,X_76),X_76) != unit
| mult(rd(X_76,mult(X_76,X_76)),X_76) = unit ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(rd(X_76,mult(X_76,X_76)),X_76))),bind(Y,$fot(mult(rd(unit,X_76),X_76))),bind(Z,$fot(unit))]]) ).
cnf(refute_0_194,plain,
( mult(rd(unit,X_76),X_76) != unit
| mult(rd(X_76,mult(X_76,X_76)),X_76) = unit ),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),X_76),mult(rd(unit,X_76),X_76)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
mult(rd(X_76,mult(X_76,X_76)),X_76) = unit,
inference(resolve,[$cnf( $equal(mult(rd(unit,X_76),X_76),unit) )],[refute_0_188,refute_0_194]) ).
cnf(refute_0_196,plain,
rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) = rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)),
introduced(tautology,[refl,[$fot(rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)))]]) ).
cnf(refute_0_197,plain,
( mult(rd(X_76,mult(X_76,X_76)),X_76) != unit
| rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) != rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76))
| rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) = rd(mult(X_76,X_76),unit) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)),rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_198,plain,
( mult(rd(X_76,mult(X_76,X_76)),X_76) != unit
| rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) = rd(mult(X_76,X_76),unit) ),
inference(resolve,[$cnf( $equal(rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)),rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) = rd(mult(X_76,X_76),unit),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),X_76),unit) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) != rd(mult(X_76,X_76),unit)
| rd(mult(X_76,X_76),unit) != mult(X_76,X_76)
| rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) = mult(X_76,X_76) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)))),bind(Y,$fot(rd(mult(X_76,X_76),unit))),bind(Z,$fot(mult(X_76,X_76)))]]) ).
cnf(refute_0_201,plain,
( rd(mult(X_76,X_76),unit) != mult(X_76,X_76)
| rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) = mult(X_76,X_76) ),
inference(resolve,[$cnf( $equal(rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)),rd(mult(X_76,X_76),unit)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) = mult(X_76,X_76),
inference(resolve,[$cnf( $equal(rd(mult(X_76,X_76),unit),mult(X_76,X_76)) )],[refute_0_187,refute_0_201]) ).
cnf(refute_0_203,plain,
rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) = rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)),
inference(subst,[],[refute_0_111:[bind(A,$fot(X_76)),bind(X_73,$fot(mult(X_76,X_76)))]]) ).
cnf(refute_0_204,plain,
( rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) != mult(X_76,X_76)
| rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) != rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76))
| rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) = mult(X_76,X_76) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))))),bind(Y,$fot(rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)))),bind(Z,$fot(mult(X_76,X_76)))]]) ).
cnf(refute_0_205,plain,
( rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)) != mult(X_76,X_76)
| rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) = mult(X_76,X_76) ),
inference(resolve,[$cnf( $equal(rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) = mult(X_76,X_76),
inference(resolve,[$cnf( $equal(rd(mult(X_76,X_76),mult(rd(X_76,mult(X_76,X_76)),X_76)),mult(X_76,X_76)) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
( rd(X_76,rd(unit,X_76)) != rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) != mult(X_76,X_76)
| rd(X_76,rd(unit,X_76)) = mult(X_76,X_76) ),
introduced(tautology,[equality,[$cnf( ~ $equal(rd(X_76,rd(unit,X_76)),mult(X_76,X_76)) ),[0],$fot(rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))))]]) ).
cnf(refute_0_208,plain,
( rd(X_76,rd(unit,X_76)) != rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(X_76,rd(unit,X_76)) = mult(X_76,X_76) ),
inference(resolve,[$cnf( $equal(rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),mult(X_76,X_76)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
( rd(X_76,rd(X_76,mult(X_76,X_76))) != rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(X_76,rd(unit,X_76)) = mult(X_76,X_76) ),
inference(resolve,[$cnf( $equal(rd(X_76,rd(unit,X_76)),rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) )],[refute_0_179,refute_0_208]) ).
cnf(refute_0_210,plain,
rd(X_76,rd(unit,X_76)) = mult(X_76,X_76),
inference(resolve,[$cnf( $equal(rd(X_76,rd(X_76,mult(X_76,X_76))),rd(unit,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) )],[refute_0_171,refute_0_209]) ).
cnf(refute_0_211,plain,
rd(X_6,rd(unit,X_6)) = mult(X_6,X_6),
inference(subst,[],[refute_0_210:[bind(X_76,$fot(X_6))]]) ).
cnf(refute_0_212,plain,
( ld(rd(X_6,rd(unit,X_6)),X_6) != rd(unit,X_6)
| rd(X_6,rd(unit,X_6)) != mult(X_6,X_6)
| ld(mult(X_6,X_6),X_6) = rd(unit,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_6,rd(unit,X_6)),X_6),rd(unit,X_6)) ),[0,0],$fot(mult(X_6,X_6))]]) ).
cnf(refute_0_213,plain,
( ld(rd(X_6,rd(unit,X_6)),X_6) != rd(unit,X_6)
| ld(mult(X_6,X_6),X_6) = rd(unit,X_6) ),
inference(resolve,[$cnf( $equal(rd(X_6,rd(unit,X_6)),mult(X_6,X_6)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
ld(mult(X_6,X_6),X_6) = rd(unit,X_6),
inference(resolve,[$cnf( $equal(ld(rd(X_6,rd(unit,X_6)),X_6),rd(unit,X_6)) )],[refute_0_167,refute_0_213]) ).
cnf(refute_0_215,plain,
ld(X_2,mult(X_2,unit)) = unit,
inference(subst,[],[c02:[bind(A,$fot(X_2)),bind(B,$fot(unit))]]) ).
cnf(refute_0_216,plain,
mult(X_2,unit) = X_2,
inference(subst,[],[c05:[bind(A,$fot(X_2))]]) ).
cnf(refute_0_217,plain,
( ld(X_2,mult(X_2,unit)) != unit
| mult(X_2,unit) != X_2
| ld(X_2,X_2) = unit ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_2,mult(X_2,unit)),unit) ),[0,1],$fot(X_2)]]) ).
cnf(refute_0_218,plain,
( ld(X_2,mult(X_2,unit)) != unit
| ld(X_2,X_2) = unit ),
inference(resolve,[$cnf( $equal(mult(X_2,unit),X_2) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
ld(X_2,X_2) = unit,
inference(resolve,[$cnf( $equal(ld(X_2,mult(X_2,unit)),unit) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
ld(X_6,X_6) = unit,
inference(subst,[],[refute_0_219:[bind(X_2,$fot(X_6))]]) ).
cnf(refute_0_221,plain,
ld(X_6,ld(X_6,X_6)) = ld(X_6,ld(X_6,X_6)),
introduced(tautology,[refl,[$fot(ld(X_6,ld(X_6,X_6)))]]) ).
cnf(refute_0_222,plain,
( ld(X_6,X_6) != unit
| ld(X_6,ld(X_6,X_6)) != ld(X_6,ld(X_6,X_6))
| ld(X_6,ld(X_6,X_6)) = ld(X_6,unit) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_6,ld(X_6,X_6)),ld(X_6,ld(X_6,X_6))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_223,plain,
( ld(X_6,X_6) != unit
| ld(X_6,ld(X_6,X_6)) = ld(X_6,unit) ),
inference(resolve,[$cnf( $equal(ld(X_6,ld(X_6,X_6)),ld(X_6,ld(X_6,X_6))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
ld(X_6,ld(X_6,X_6)) = ld(X_6,unit),
inference(resolve,[$cnf( $equal(ld(X_6,X_6),unit) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
ld(mult(X_21,X_21),mult(mult(X_21,X_21),B)) = B,
inference(subst,[],[c02:[bind(A,$fot(mult(X_21,X_21)))]]) ).
cnf(refute_0_226,plain,
( ld(mult(X_21,X_21),mult(mult(X_21,X_21),B)) != B
| mult(mult(X_21,X_21),B) != mult(X_21,mult(X_21,B))
| ld(mult(X_21,X_21),mult(X_21,mult(X_21,B))) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_21,X_21),mult(mult(X_21,X_21),B)),B) ),[0,1],$fot(mult(X_21,mult(X_21,B)))]]) ).
cnf(refute_0_227,plain,
( ld(mult(X_21,X_21),mult(mult(X_21,X_21),B)) != B
| ld(mult(X_21,X_21),mult(X_21,mult(X_21,B))) = B ),
inference(resolve,[$cnf( $equal(mult(mult(X_21,X_21),B),mult(X_21,mult(X_21,B))) )],[refute_0_76,refute_0_226]) ).
cnf(refute_0_228,plain,
ld(mult(X_21,X_21),mult(X_21,mult(X_21,B))) = B,
inference(resolve,[$cnf( $equal(ld(mult(X_21,X_21),mult(mult(X_21,X_21),B)),B) )],[refute_0_225,refute_0_227]) ).
cnf(refute_0_229,plain,
ld(mult(X_28,X_28),mult(X_28,mult(X_28,ld(X_28,B)))) = ld(X_28,B),
inference(subst,[],[refute_0_228:[bind(B,$fot(ld(X_28,B))),bind(X_21,$fot(X_28))]]) ).
cnf(refute_0_230,plain,
mult(X_28,ld(X_28,B)) = B,
inference(subst,[],[c01:[bind(A,$fot(X_28))]]) ).
cnf(refute_0_231,plain,
( ld(mult(X_28,X_28),mult(X_28,mult(X_28,ld(X_28,B)))) != ld(X_28,B)
| mult(X_28,ld(X_28,B)) != B
| ld(mult(X_28,X_28),mult(X_28,B)) = ld(X_28,B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_28,X_28),mult(X_28,mult(X_28,ld(X_28,B)))),ld(X_28,B)) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_232,plain,
( ld(mult(X_28,X_28),mult(X_28,mult(X_28,ld(X_28,B)))) != ld(X_28,B)
| ld(mult(X_28,X_28),mult(X_28,B)) = ld(X_28,B) ),
inference(resolve,[$cnf( $equal(mult(X_28,ld(X_28,B)),B) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
ld(mult(X_28,X_28),mult(X_28,B)) = ld(X_28,B),
inference(resolve,[$cnf( $equal(ld(mult(X_28,X_28),mult(X_28,mult(X_28,ld(X_28,B)))),ld(X_28,B)) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
ld(mult(X_34,X_34),mult(X_34,ld(X_34,B))) = ld(X_34,ld(X_34,B)),
inference(subst,[],[refute_0_233:[bind(B,$fot(ld(X_34,B))),bind(X_28,$fot(X_34))]]) ).
cnf(refute_0_235,plain,
mult(X_34,ld(X_34,B)) = B,
inference(subst,[],[c01:[bind(A,$fot(X_34))]]) ).
cnf(refute_0_236,plain,
( ld(mult(X_34,X_34),mult(X_34,ld(X_34,B))) != ld(X_34,ld(X_34,B))
| mult(X_34,ld(X_34,B)) != B
| ld(mult(X_34,X_34),B) = ld(X_34,ld(X_34,B)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_34,X_34),mult(X_34,ld(X_34,B))),ld(X_34,ld(X_34,B))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_237,plain,
( ld(mult(X_34,X_34),mult(X_34,ld(X_34,B))) != ld(X_34,ld(X_34,B))
| ld(mult(X_34,X_34),B) = ld(X_34,ld(X_34,B)) ),
inference(resolve,[$cnf( $equal(mult(X_34,ld(X_34,B)),B) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
ld(mult(X_34,X_34),B) = ld(X_34,ld(X_34,B)),
inference(resolve,[$cnf( $equal(ld(mult(X_34,X_34),mult(X_34,ld(X_34,B))),ld(X_34,ld(X_34,B))) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
ld(mult(X_6,X_6),X_6) = ld(X_6,ld(X_6,X_6)),
inference(subst,[],[refute_0_238:[bind(B,$fot(X_6)),bind(X_34,$fot(X_6))]]) ).
cnf(refute_0_240,plain,
( ld(X_6,ld(X_6,X_6)) != ld(X_6,unit)
| ld(mult(X_6,X_6),X_6) != ld(X_6,ld(X_6,X_6))
| ld(mult(X_6,X_6),X_6) = ld(X_6,unit) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(mult(X_6,X_6),X_6))),bind(Y,$fot(ld(X_6,ld(X_6,X_6)))),bind(Z,$fot(ld(X_6,unit)))]]) ).
cnf(refute_0_241,plain,
( ld(X_6,ld(X_6,X_6)) != ld(X_6,unit)
| ld(mult(X_6,X_6),X_6) = ld(X_6,unit) ),
inference(resolve,[$cnf( $equal(ld(mult(X_6,X_6),X_6),ld(X_6,ld(X_6,X_6))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
ld(mult(X_6,X_6),X_6) = ld(X_6,unit),
inference(resolve,[$cnf( $equal(ld(X_6,ld(X_6,X_6)),ld(X_6,unit)) )],[refute_0_224,refute_0_241]) ).
cnf(refute_0_243,plain,
( ld(mult(X_6,X_6),X_6) != ld(X_6,unit)
| ld(mult(X_6,X_6),X_6) != rd(unit,X_6)
| ld(X_6,unit) = rd(unit,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_6,X_6),X_6),rd(unit,X_6)) ),[0],$fot(ld(X_6,unit))]]) ).
cnf(refute_0_244,plain,
( ld(mult(X_6,X_6),X_6) != rd(unit,X_6)
| ld(X_6,unit) = rd(unit,X_6) ),
inference(resolve,[$cnf( $equal(ld(mult(X_6,X_6),X_6),ld(X_6,unit)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
ld(X_6,unit) = rd(unit,X_6),
inference(resolve,[$cnf( $equal(ld(mult(X_6,X_6),X_6),rd(unit,X_6)) )],[refute_0_214,refute_0_244]) ).
cnf(refute_0_246,plain,
( ld(X_6,unit) != rd(unit,X_6)
| rd(unit,X_6) = ld(X_6,unit) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_6,unit))),bind(Y,$fot(rd(unit,X_6)))]]) ).
cnf(refute_0_247,plain,
rd(unit,X_6) = ld(X_6,unit),
inference(resolve,[$cnf( $equal(ld(X_6,unit),rd(unit,X_6)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
rd(unit,X_76) = ld(X_76,unit),
inference(subst,[],[refute_0_247:[bind(X_6,$fot(X_76))]]) ).
cnf(refute_0_249,plain,
( rd(unit,X_76) != ld(X_76,unit)
| rd(unit,X_76) != rd(X_76,mult(X_76,X_76))
| ld(X_76,unit) = rd(X_76,mult(X_76,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) ),[0],$fot(ld(X_76,unit))]]) ).
cnf(refute_0_250,plain,
( rd(unit,X_76) != rd(X_76,mult(X_76,X_76))
| ld(X_76,unit) = rd(X_76,mult(X_76,X_76)) ),
inference(resolve,[$cnf( $equal(rd(unit,X_76),ld(X_76,unit)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
ld(X_76,unit) = rd(X_76,mult(X_76,X_76)),
inference(resolve,[$cnf( $equal(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) )],[refute_0_166,refute_0_250]) ).
cnf(refute_0_252,plain,
( ld(X_76,unit) != rd(X_76,mult(X_76,X_76))
| rd(X_76,mult(X_76,X_76)) = ld(X_76,unit) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_76,unit))),bind(Y,$fot(rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_253,plain,
rd(X_76,mult(X_76,X_76)) = ld(X_76,unit),
inference(resolve,[$cnf( $equal(ld(X_76,unit),rd(X_76,mult(X_76,X_76))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
rd(X_85,mult(X_85,X_85)) = ld(X_85,unit),
inference(subst,[],[refute_0_253:[bind(X_76,$fot(X_85))]]) ).
cnf(refute_0_255,plain,
ld(rd(X_85,mult(X_85,X_85)),B) = ld(rd(X_85,mult(X_85,X_85)),B),
introduced(tautology,[refl,[$fot(ld(rd(X_85,mult(X_85,X_85)),B))]]) ).
cnf(refute_0_256,plain,
( ld(rd(X_85,mult(X_85,X_85)),B) != ld(rd(X_85,mult(X_85,X_85)),B)
| rd(X_85,mult(X_85,X_85)) != ld(X_85,unit)
| ld(rd(X_85,mult(X_85,X_85)),B) = ld(ld(X_85,unit),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_85,mult(X_85,X_85)),B),ld(rd(X_85,mult(X_85,X_85)),B)) ),[1,0],$fot(ld(X_85,unit))]]) ).
cnf(refute_0_257,plain,
( rd(X_85,mult(X_85,X_85)) != ld(X_85,unit)
| ld(rd(X_85,mult(X_85,X_85)),B) = ld(ld(X_85,unit),B) ),
inference(resolve,[$cnf( $equal(ld(rd(X_85,mult(X_85,X_85)),B),ld(rd(X_85,mult(X_85,X_85)),B)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
ld(rd(X_85,mult(X_85,X_85)),B) = ld(ld(X_85,unit),B),
inference(resolve,[$cnf( $equal(rd(X_85,mult(X_85,X_85)),ld(X_85,unit)) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
mult(X_85,mult(X_85,ld(X_85,B))) = ld(rd(X_85,mult(X_85,X_85)),B),
inference(subst,[],[refute_0_149:[bind(A,$fot(X_85)),bind(X_62,$fot(B)),bind(X_63,$fot(X_85))]]) ).
cnf(refute_0_260,plain,
( ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) != mult(X_85,mult(X_85,ld(X_85,B)))
| mult(X_85,mult(X_85,ld(X_85,B))) != ld(rd(X_85,mult(X_85,X_85)),B)
| ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = ld(rd(X_85,mult(X_85,X_85)),B) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))))),bind(Y,$fot(mult(X_85,mult(X_85,ld(X_85,B))))),bind(Z,$fot(ld(rd(X_85,mult(X_85,X_85)),B)))]]) ).
cnf(refute_0_261,plain,
( mult(X_85,mult(X_85,ld(X_85,B))) != ld(rd(X_85,mult(X_85,X_85)),B)
| ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = ld(rd(X_85,mult(X_85,X_85)),B) ),
inference(resolve,[$cnf( $equal(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))),mult(X_85,mult(X_85,ld(X_85,B)))) )],[refute_0_46,refute_0_260]) ).
cnf(refute_0_262,plain,
ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = ld(rd(X_85,mult(X_85,X_85)),B),
inference(resolve,[$cnf( $equal(mult(X_85,mult(X_85,ld(X_85,B))),ld(rd(X_85,mult(X_85,X_85)),B)) )],[refute_0_259,refute_0_261]) ).
cnf(refute_0_263,plain,
( ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) != ld(rd(X_85,mult(X_85,X_85)),B)
| ld(rd(X_85,mult(X_85,X_85)),B) != ld(ld(X_85,unit),B)
| ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = ld(ld(X_85,unit),B) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))))),bind(Y,$fot(ld(rd(X_85,mult(X_85,X_85)),B))),bind(Z,$fot(ld(ld(X_85,unit),B)))]]) ).
cnf(refute_0_264,plain,
( ld(rd(X_85,mult(X_85,X_85)),B) != ld(ld(X_85,unit),B)
| ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = ld(ld(X_85,unit),B) ),
inference(resolve,[$cnf( $equal(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))),ld(rd(X_85,mult(X_85,X_85)),B)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) = ld(ld(X_85,unit),B),
inference(resolve,[$cnf( $equal(ld(rd(X_85,mult(X_85,X_85)),B),ld(ld(X_85,unit),B)) )],[refute_0_258,refute_0_264]) ).
cnf(refute_0_266,plain,
( ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) != ld(ld(X_85,unit),B)
| ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) != mult(X_85,B)
| ld(ld(X_85,unit),B) = mult(X_85,B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))),mult(X_85,B)) ),[0],$fot(ld(ld(X_85,unit),B))]]) ).
cnf(refute_0_267,plain,
( ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))) != mult(X_85,B)
| ld(ld(X_85,unit),B) = mult(X_85,B) ),
inference(resolve,[$cnf( $equal(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))),ld(ld(X_85,unit),B)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
ld(ld(X_85,unit),B) = mult(X_85,B),
inference(resolve,[$cnf( $equal(ld(rd(X_84,mult(X_85,X_85)),mult(X_84,ld(X_85,B))),mult(X_85,B)) )],[refute_0_50,refute_0_267]) ).
cnf(refute_0_269,plain,
ld(ld(X_85,unit),X_226) = mult(X_85,X_226),
inference(subst,[],[refute_0_268:[bind(B,$fot(X_226))]]) ).
cnf(refute_0_270,plain,
( ld(ld(X_85,unit),X_226) != mult(X_85,X_226)
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) != mult(X_227,mult(X_227,ld(ld(X_85,unit),X_226)))
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = mult(X_227,mult(X_227,mult(X_85,X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),mult(X_227,mult(X_227,ld(ld(X_85,unit),X_226)))) ),[1,1,1],$fot(mult(X_85,X_226))]]) ).
cnf(refute_0_271,plain,
( ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) != mult(X_227,mult(X_227,ld(ld(X_85,unit),X_226)))
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = mult(X_227,mult(X_227,mult(X_85,X_226))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_85,unit),X_226),mult(X_85,X_226)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = mult(X_227,mult(X_227,mult(X_85,X_226))),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),mult(X_227,mult(X_227,ld(ld(X_85,unit),X_226)))) )],[refute_0_35,refute_0_271]) ).
cnf(refute_0_273,plain,
ld(ld(ld(X_88,unit),unit),B) = mult(ld(X_88,unit),B),
inference(subst,[],[refute_0_268:[bind(X_85,$fot(ld(X_88,unit)))]]) ).
cnf(refute_0_274,plain,
ld(ld(X_88,unit),unit) = mult(X_88,unit),
inference(subst,[],[refute_0_268:[bind(B,$fot(unit)),bind(X_85,$fot(X_88))]]) ).
cnf(refute_0_275,plain,
( ld(ld(X_88,unit),unit) != mult(X_88,unit)
| ld(ld(ld(X_88,unit),unit),B) != mult(ld(X_88,unit),B)
| ld(mult(X_88,unit),B) = mult(ld(X_88,unit),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(ld(X_88,unit),unit),B),mult(ld(X_88,unit),B)) ),[0,0],$fot(mult(X_88,unit))]]) ).
cnf(refute_0_276,plain,
( ld(ld(ld(X_88,unit),unit),B) != mult(ld(X_88,unit),B)
| ld(mult(X_88,unit),B) = mult(ld(X_88,unit),B) ),
inference(resolve,[$cnf( $equal(ld(ld(X_88,unit),unit),mult(X_88,unit)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
ld(mult(X_88,unit),B) = mult(ld(X_88,unit),B),
inference(resolve,[$cnf( $equal(ld(ld(ld(X_88,unit),unit),B),mult(ld(X_88,unit),B)) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
mult(X_88,unit) = X_88,
inference(subst,[],[c05:[bind(A,$fot(X_88))]]) ).
cnf(refute_0_279,plain,
ld(mult(X_88,unit),B) = ld(mult(X_88,unit),B),
introduced(tautology,[refl,[$fot(ld(mult(X_88,unit),B))]]) ).
cnf(refute_0_280,plain,
( ld(mult(X_88,unit),B) != ld(mult(X_88,unit),B)
| mult(X_88,unit) != X_88
| ld(mult(X_88,unit),B) = ld(X_88,B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_88,unit),B),ld(mult(X_88,unit),B)) ),[1,0],$fot(X_88)]]) ).
cnf(refute_0_281,plain,
( mult(X_88,unit) != X_88
| ld(mult(X_88,unit),B) = ld(X_88,B) ),
inference(resolve,[$cnf( $equal(ld(mult(X_88,unit),B),ld(mult(X_88,unit),B)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
ld(mult(X_88,unit),B) = ld(X_88,B),
inference(resolve,[$cnf( $equal(mult(X_88,unit),X_88) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( ld(mult(X_88,unit),B) != ld(X_88,B)
| ld(mult(X_88,unit),B) != mult(ld(X_88,unit),B)
| ld(X_88,B) = mult(ld(X_88,unit),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_88,unit),B),mult(ld(X_88,unit),B)) ),[0],$fot(ld(X_88,B))]]) ).
cnf(refute_0_284,plain,
( ld(mult(X_88,unit),B) != mult(ld(X_88,unit),B)
| ld(X_88,B) = mult(ld(X_88,unit),B) ),
inference(resolve,[$cnf( $equal(ld(mult(X_88,unit),B),ld(X_88,B)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
ld(X_88,B) = mult(ld(X_88,unit),B),
inference(resolve,[$cnf( $equal(ld(mult(X_88,unit),B),mult(ld(X_88,unit),B)) )],[refute_0_277,refute_0_284]) ).
cnf(refute_0_286,plain,
ld(rd(X_93,X_94),B) = mult(ld(rd(X_93,X_94),unit),B),
inference(subst,[],[refute_0_285:[bind(X_88,$fot(rd(X_93,X_94)))]]) ).
cnf(refute_0_287,plain,
rd(B,ld(ld(X_88,unit),B)) = ld(X_88,unit),
inference(subst,[],[refute_0_55:[bind(X_11,$fot(ld(X_88,unit)))]]) ).
cnf(refute_0_288,plain,
ld(ld(X_88,unit),B) = mult(X_88,B),
inference(subst,[],[refute_0_268:[bind(X_85,$fot(X_88))]]) ).
cnf(refute_0_289,plain,
( ld(ld(X_88,unit),B) != mult(X_88,B)
| rd(B,ld(ld(X_88,unit),B)) != ld(X_88,unit)
| rd(B,mult(X_88,B)) = ld(X_88,unit) ),
introduced(tautology,[equality,[$cnf( $equal(rd(B,ld(ld(X_88,unit),B)),ld(X_88,unit)) ),[0,1],$fot(mult(X_88,B))]]) ).
cnf(refute_0_290,plain,
( rd(B,ld(ld(X_88,unit),B)) != ld(X_88,unit)
| rd(B,mult(X_88,B)) = ld(X_88,unit) ),
inference(resolve,[$cnf( $equal(ld(ld(X_88,unit),B),mult(X_88,B)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
rd(B,mult(X_88,B)) = ld(X_88,unit),
inference(resolve,[$cnf( $equal(rd(B,ld(ld(X_88,unit),B)),ld(X_88,unit)) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
rd(X_91,mult(rd(A,X_91),X_91)) = ld(rd(A,X_91),unit),
inference(subst,[],[refute_0_291:[bind(B,$fot(X_91)),bind(X_88,$fot(rd(A,X_91)))]]) ).
cnf(refute_0_293,plain,
mult(rd(A,X_91),X_91) = A,
inference(subst,[],[c03:[bind(B,$fot(X_91))]]) ).
cnf(refute_0_294,plain,
( mult(rd(A,X_91),X_91) != A
| rd(X_91,mult(rd(A,X_91),X_91)) != ld(rd(A,X_91),unit)
| rd(X_91,A) = ld(rd(A,X_91),unit) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_91,mult(rd(A,X_91),X_91)),ld(rd(A,X_91),unit)) ),[0,1],$fot(A)]]) ).
cnf(refute_0_295,plain,
( rd(X_91,mult(rd(A,X_91),X_91)) != ld(rd(A,X_91),unit)
| rd(X_91,A) = ld(rd(A,X_91),unit) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_91),X_91),A) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
rd(X_91,A) = ld(rd(A,X_91),unit),
inference(resolve,[$cnf( $equal(rd(X_91,mult(rd(A,X_91),X_91)),ld(rd(A,X_91),unit)) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
rd(X_94,X_93) = ld(rd(X_93,X_94),unit),
inference(subst,[],[refute_0_296:[bind(A,$fot(X_93)),bind(X_91,$fot(X_94))]]) ).
cnf(refute_0_298,plain,
( rd(X_94,X_93) != ld(rd(X_93,X_94),unit)
| ld(rd(X_93,X_94),unit) = rd(X_94,X_93) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(X_94,X_93))),bind(Y,$fot(ld(rd(X_93,X_94),unit)))]]) ).
cnf(refute_0_299,plain,
ld(rd(X_93,X_94),unit) = rd(X_94,X_93),
inference(resolve,[$cnf( $equal(rd(X_94,X_93),ld(rd(X_93,X_94),unit)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
( ld(rd(X_93,X_94),B) != mult(ld(rd(X_93,X_94),unit),B)
| ld(rd(X_93,X_94),unit) != rd(X_94,X_93)
| ld(rd(X_93,X_94),B) = mult(rd(X_94,X_93),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_93,X_94),B),mult(ld(rd(X_93,X_94),unit),B)) ),[1,0],$fot(rd(X_94,X_93))]]) ).
cnf(refute_0_301,plain,
( ld(rd(X_93,X_94),B) != mult(ld(rd(X_93,X_94),unit),B)
| ld(rd(X_93,X_94),B) = mult(rd(X_94,X_93),B) ),
inference(resolve,[$cnf( $equal(ld(rd(X_93,X_94),unit),rd(X_94,X_93)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
ld(rd(X_93,X_94),B) = mult(rd(X_94,X_93),B),
inference(resolve,[$cnf( $equal(ld(rd(X_93,X_94),B),mult(ld(rd(X_93,X_94),unit),B)) )],[refute_0_286,refute_0_301]) ).
cnf(refute_0_303,plain,
ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) = mult(rd(X_94,ld(X_169,ld(X_94,unit))),B),
inference(subst,[],[refute_0_302:[bind(X_93,$fot(ld(X_169,ld(X_94,unit))))]]) ).
cnf(refute_0_304,plain,
rd(B,ld(rd(mult(B,B),X_135),B)) = rd(mult(B,B),X_135),
inference(subst,[],[refute_0_55:[bind(X_11,$fot(rd(mult(B,B),X_135)))]]) ).
cnf(refute_0_305,plain,
mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,ld(X_52,B)))) = mult(X_51,ld(X_52,B)),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_51)),bind(X_19,$fot(X_52)),bind(X_20,$fot(ld(X_52,B)))]]) ).
cnf(refute_0_306,plain,
mult(X_52,ld(X_52,B)) = B,
inference(subst,[],[c01:[bind(A,$fot(X_52))]]) ).
cnf(refute_0_307,plain,
( mult(X_52,ld(X_52,B)) != B
| mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,ld(X_52,B)))) != mult(X_51,ld(X_52,B))
| mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)) = mult(X_51,ld(X_52,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,ld(X_52,B)))),mult(X_51,ld(X_52,B))) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_308,plain,
( mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,ld(X_52,B)))) != mult(X_51,ld(X_52,B))
| mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)) = mult(X_51,ld(X_52,B)) ),
inference(resolve,[$cnf( $equal(mult(X_52,ld(X_52,B)),B) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)) = mult(X_51,ld(X_52,B)),
inference(resolve,[$cnf( $equal(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,mult(X_52,ld(X_52,B)))),mult(X_51,ld(X_52,B))) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( ld(rd(X_93,X_94),B) != mult(rd(X_94,X_93),B)
| mult(rd(X_94,X_93),B) = ld(rd(X_93,X_94),B) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(rd(X_93,X_94),B))),bind(Y,$fot(mult(rd(X_94,X_93),B)))]]) ).
cnf(refute_0_311,plain,
mult(rd(X_94,X_93),B) = ld(rd(X_93,X_94),B),
inference(resolve,[$cnf( $equal(ld(rd(X_93,X_94),B),mult(rd(X_94,X_93),B)) )],[refute_0_302,refute_0_310]) ).
cnf(refute_0_312,plain,
mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)) = ld(rd(mult(X_52,X_52),X_51),mult(X_52,B)),
inference(subst,[],[refute_0_311:[bind(B,$fot(mult(X_52,B))),bind(X_93,$fot(mult(X_52,X_52))),bind(X_94,$fot(X_51))]]) ).
cnf(refute_0_313,plain,
( mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)) != ld(rd(mult(X_52,X_52),X_51),mult(X_52,B))
| mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)) != mult(X_51,ld(X_52,B))
| ld(rd(mult(X_52,X_52),X_51),mult(X_52,B)) = mult(X_51,ld(X_52,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)),mult(X_51,ld(X_52,B))) ),[0],$fot(ld(rd(mult(X_52,X_52),X_51),mult(X_52,B)))]]) ).
cnf(refute_0_314,plain,
( mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)) != mult(X_51,ld(X_52,B))
| ld(rd(mult(X_52,X_52),X_51),mult(X_52,B)) = mult(X_51,ld(X_52,B)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)),ld(rd(mult(X_52,X_52),X_51),mult(X_52,B))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
ld(rd(mult(X_52,X_52),X_51),mult(X_52,B)) = mult(X_51,ld(X_52,B)),
inference(resolve,[$cnf( $equal(mult(rd(X_51,mult(X_52,X_52)),mult(X_52,B)),mult(X_51,ld(X_52,B))) )],[refute_0_309,refute_0_314]) ).
cnf(refute_0_316,plain,
ld(rd(mult(X_134,X_134),X_133),mult(X_134,unit)) = mult(X_133,ld(X_134,unit)),
inference(subst,[],[refute_0_315:[bind(B,$fot(unit)),bind(X_51,$fot(X_133)),bind(X_52,$fot(X_134))]]) ).
cnf(refute_0_317,plain,
mult(X_134,unit) = X_134,
inference(subst,[],[c05:[bind(A,$fot(X_134))]]) ).
cnf(refute_0_318,plain,
( ld(rd(mult(X_134,X_134),X_133),mult(X_134,unit)) != mult(X_133,ld(X_134,unit))
| mult(X_134,unit) != X_134
| ld(rd(mult(X_134,X_134),X_133),X_134) = mult(X_133,ld(X_134,unit)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(X_134,X_134),X_133),mult(X_134,unit)),mult(X_133,ld(X_134,unit))) ),[0,1],$fot(X_134)]]) ).
cnf(refute_0_319,plain,
( ld(rd(mult(X_134,X_134),X_133),mult(X_134,unit)) != mult(X_133,ld(X_134,unit))
| ld(rd(mult(X_134,X_134),X_133),X_134) = mult(X_133,ld(X_134,unit)) ),
inference(resolve,[$cnf( $equal(mult(X_134,unit),X_134) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
ld(rd(mult(X_134,X_134),X_133),X_134) = mult(X_133,ld(X_134,unit)),
inference(resolve,[$cnf( $equal(ld(rd(mult(X_134,X_134),X_133),mult(X_134,unit)),mult(X_133,ld(X_134,unit))) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
ld(rd(mult(B,B),X_135),B) = mult(X_135,ld(B,unit)),
inference(subst,[],[refute_0_320:[bind(X_133,$fot(X_135)),bind(X_134,$fot(B))]]) ).
cnf(refute_0_322,plain,
( ld(rd(mult(B,B),X_135),B) != mult(X_135,ld(B,unit))
| rd(B,ld(rd(mult(B,B),X_135),B)) != rd(mult(B,B),X_135)
| rd(B,mult(X_135,ld(B,unit))) = rd(mult(B,B),X_135) ),
introduced(tautology,[equality,[$cnf( $equal(rd(B,ld(rd(mult(B,B),X_135),B)),rd(mult(B,B),X_135)) ),[0,1],$fot(mult(X_135,ld(B,unit)))]]) ).
cnf(refute_0_323,plain,
( rd(B,ld(rd(mult(B,B),X_135),B)) != rd(mult(B,B),X_135)
| rd(B,mult(X_135,ld(B,unit))) = rd(mult(B,B),X_135) ),
inference(resolve,[$cnf( $equal(ld(rd(mult(B,B),X_135),B),mult(X_135,ld(B,unit))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
rd(B,mult(X_135,ld(B,unit))) = rd(mult(B,B),X_135),
inference(resolve,[$cnf( $equal(rd(B,ld(rd(mult(B,B),X_135),B)),rd(mult(B,B),X_135)) )],[refute_0_304,refute_0_323]) ).
cnf(refute_0_325,plain,
rd(X_137,mult(ld(X_88,unit),ld(X_137,unit))) = rd(mult(X_137,X_137),ld(X_88,unit)),
inference(subst,[],[refute_0_324:[bind(B,$fot(X_137)),bind(X_135,$fot(ld(X_88,unit)))]]) ).
cnf(refute_0_326,plain,
ld(X_88,ld(X_137,unit)) = mult(ld(X_88,unit),ld(X_137,unit)),
inference(subst,[],[refute_0_285:[bind(B,$fot(ld(X_137,unit)))]]) ).
cnf(refute_0_327,plain,
( ld(X_88,ld(X_137,unit)) != mult(ld(X_88,unit),ld(X_137,unit))
| mult(ld(X_88,unit),ld(X_137,unit)) = ld(X_88,ld(X_137,unit)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_88,ld(X_137,unit)))),bind(Y,$fot(mult(ld(X_88,unit),ld(X_137,unit))))]]) ).
cnf(refute_0_328,plain,
mult(ld(X_88,unit),ld(X_137,unit)) = ld(X_88,ld(X_137,unit)),
inference(resolve,[$cnf( $equal(ld(X_88,ld(X_137,unit)),mult(ld(X_88,unit),ld(X_137,unit))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
( mult(ld(X_88,unit),ld(X_137,unit)) != ld(X_88,ld(X_137,unit))
| rd(X_137,mult(ld(X_88,unit),ld(X_137,unit))) != rd(mult(X_137,X_137),ld(X_88,unit))
| rd(X_137,ld(X_88,ld(X_137,unit))) = rd(mult(X_137,X_137),ld(X_88,unit)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_137,mult(ld(X_88,unit),ld(X_137,unit))),rd(mult(X_137,X_137),ld(X_88,unit))) ),[0,1],$fot(ld(X_88,ld(X_137,unit)))]]) ).
cnf(refute_0_330,plain,
( rd(X_137,mult(ld(X_88,unit),ld(X_137,unit))) != rd(mult(X_137,X_137),ld(X_88,unit))
| rd(X_137,ld(X_88,ld(X_137,unit))) = rd(mult(X_137,X_137),ld(X_88,unit)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_88,unit),ld(X_137,unit)),ld(X_88,ld(X_137,unit))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
rd(X_137,ld(X_88,ld(X_137,unit))) = rd(mult(X_137,X_137),ld(X_88,unit)),
inference(resolve,[$cnf( $equal(rd(X_137,mult(ld(X_88,unit),ld(X_137,unit))),rd(mult(X_137,X_137),ld(X_88,unit))) )],[refute_0_325,refute_0_330]) ).
cnf(refute_0_332,plain,
rd(mult(mult(X_18,mult(X_19,X_19)),B),B) = mult(X_18,mult(X_19,X_19)),
inference(subst,[],[c04:[bind(A,$fot(mult(X_18,mult(X_19,X_19))))]]) ).
cnf(refute_0_333,plain,
mult(X_18,mult(X_19,mult(X_19,B))) = mult(mult(X_18,mult(X_19,X_19)),B),
inference(subst,[],[c07:[bind(A,$fot(X_18)),bind(B,$fot(X_19)),bind(C,$fot(B))]]) ).
cnf(refute_0_334,plain,
( mult(X_18,mult(X_19,mult(X_19,B))) != mult(mult(X_18,mult(X_19,X_19)),B)
| mult(mult(X_18,mult(X_19,X_19)),B) = mult(X_18,mult(X_19,mult(X_19,B))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(X_18,mult(X_19,mult(X_19,B))))),bind(Y,$fot(mult(mult(X_18,mult(X_19,X_19)),B)))]]) ).
cnf(refute_0_335,plain,
mult(mult(X_18,mult(X_19,X_19)),B) = mult(X_18,mult(X_19,mult(X_19,B))),
inference(resolve,[$cnf( $equal(mult(X_18,mult(X_19,mult(X_19,B))),mult(mult(X_18,mult(X_19,X_19)),B)) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
( mult(mult(X_18,mult(X_19,X_19)),B) != mult(X_18,mult(X_19,mult(X_19,B)))
| rd(mult(mult(X_18,mult(X_19,X_19)),B),B) != mult(X_18,mult(X_19,X_19))
| rd(mult(X_18,mult(X_19,mult(X_19,B))),B) = mult(X_18,mult(X_19,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_18,mult(X_19,X_19)),B),B),mult(X_18,mult(X_19,X_19))) ),[0,0],$fot(mult(X_18,mult(X_19,mult(X_19,B))))]]) ).
cnf(refute_0_337,plain,
( rd(mult(mult(X_18,mult(X_19,X_19)),B),B) != mult(X_18,mult(X_19,X_19))
| rd(mult(X_18,mult(X_19,mult(X_19,B))),B) = mult(X_18,mult(X_19,X_19)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_18,mult(X_19,X_19)),B),mult(X_18,mult(X_19,mult(X_19,B)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
rd(mult(X_18,mult(X_19,mult(X_19,B))),B) = mult(X_18,mult(X_19,X_19)),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_18,mult(X_19,X_19)),B),B),mult(X_18,mult(X_19,X_19))) )],[refute_0_332,refute_0_337]) ).
cnf(refute_0_339,plain,
rd(mult(X_46,mult(X_47,mult(X_47,ld(X_47,B)))),ld(X_47,B)) = mult(X_46,mult(X_47,X_47)),
inference(subst,[],[refute_0_338:[bind(B,$fot(ld(X_47,B))),bind(X_18,$fot(X_46)),bind(X_19,$fot(X_47))]]) ).
cnf(refute_0_340,plain,
mult(X_47,ld(X_47,B)) = B,
inference(subst,[],[c01:[bind(A,$fot(X_47))]]) ).
cnf(refute_0_341,plain,
( mult(X_47,ld(X_47,B)) != B
| rd(mult(X_46,mult(X_47,mult(X_47,ld(X_47,B)))),ld(X_47,B)) != mult(X_46,mult(X_47,X_47))
| rd(mult(X_46,mult(X_47,B)),ld(X_47,B)) = mult(X_46,mult(X_47,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(X_47,ld(X_47,B)))),ld(X_47,B)),mult(X_46,mult(X_47,X_47))) ),[0,0,1,1],$fot(B)]]) ).
cnf(refute_0_342,plain,
( rd(mult(X_46,mult(X_47,mult(X_47,ld(X_47,B)))),ld(X_47,B)) != mult(X_46,mult(X_47,X_47))
| rd(mult(X_46,mult(X_47,B)),ld(X_47,B)) = mult(X_46,mult(X_47,X_47)) ),
inference(resolve,[$cnf( $equal(mult(X_47,ld(X_47,B)),B) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
rd(mult(X_46,mult(X_47,B)),ld(X_47,B)) = mult(X_46,mult(X_47,X_47)),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(X_47,ld(X_47,B)))),ld(X_47,B)),mult(X_46,mult(X_47,X_47))) )],[refute_0_339,refute_0_342]) ).
cnf(refute_0_344,plain,
rd(mult(X_65,mult(X_66,unit)),ld(X_66,unit)) = mult(X_65,mult(X_66,X_66)),
inference(subst,[],[refute_0_343:[bind(B,$fot(unit)),bind(X_46,$fot(X_65)),bind(X_47,$fot(X_66))]]) ).
cnf(refute_0_345,plain,
mult(X_66,unit) = X_66,
inference(subst,[],[c05:[bind(A,$fot(X_66))]]) ).
cnf(refute_0_346,plain,
( mult(X_66,unit) != X_66
| rd(mult(X_65,mult(X_66,unit)),ld(X_66,unit)) != mult(X_65,mult(X_66,X_66))
| rd(mult(X_65,X_66),ld(X_66,unit)) = mult(X_65,mult(X_66,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_65,mult(X_66,unit)),ld(X_66,unit)),mult(X_65,mult(X_66,X_66))) ),[0,0,1],$fot(X_66)]]) ).
cnf(refute_0_347,plain,
( rd(mult(X_65,mult(X_66,unit)),ld(X_66,unit)) != mult(X_65,mult(X_66,X_66))
| rd(mult(X_65,X_66),ld(X_66,unit)) = mult(X_65,mult(X_66,X_66)) ),
inference(resolve,[$cnf( $equal(mult(X_66,unit),X_66) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
rd(mult(X_65,X_66),ld(X_66,unit)) = mult(X_65,mult(X_66,X_66)),
inference(resolve,[$cnf( $equal(rd(mult(X_65,mult(X_66,unit)),ld(X_66,unit)),mult(X_65,mult(X_66,X_66))) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
rd(mult(ld(X_90,unit),X_66),ld(X_66,unit)) = mult(ld(X_90,unit),mult(X_66,X_66)),
inference(subst,[],[refute_0_348:[bind(X_65,$fot(ld(X_90,unit)))]]) ).
cnf(refute_0_350,plain,
ld(X_90,X_66) = mult(ld(X_90,unit),X_66),
inference(subst,[],[refute_0_285:[bind(B,$fot(X_66)),bind(X_88,$fot(X_90))]]) ).
cnf(refute_0_351,plain,
( ld(X_90,X_66) != mult(ld(X_90,unit),X_66)
| mult(ld(X_90,unit),X_66) = ld(X_90,X_66) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_90,X_66))),bind(Y,$fot(mult(ld(X_90,unit),X_66)))]]) ).
cnf(refute_0_352,plain,
mult(ld(X_90,unit),X_66) = ld(X_90,X_66),
inference(resolve,[$cnf( $equal(ld(X_90,X_66),mult(ld(X_90,unit),X_66)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
( mult(ld(X_90,unit),X_66) != ld(X_90,X_66)
| rd(mult(ld(X_90,unit),X_66),ld(X_66,unit)) != mult(ld(X_90,unit),mult(X_66,X_66))
| rd(ld(X_90,X_66),ld(X_66,unit)) = mult(ld(X_90,unit),mult(X_66,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_90,unit),X_66),ld(X_66,unit)),mult(ld(X_90,unit),mult(X_66,X_66))) ),[0,0],$fot(ld(X_90,X_66))]]) ).
cnf(refute_0_354,plain,
( rd(mult(ld(X_90,unit),X_66),ld(X_66,unit)) != mult(ld(X_90,unit),mult(X_66,X_66))
| rd(ld(X_90,X_66),ld(X_66,unit)) = mult(ld(X_90,unit),mult(X_66,X_66)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_90,unit),X_66),ld(X_90,X_66)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
rd(ld(X_90,X_66),ld(X_66,unit)) = mult(ld(X_90,unit),mult(X_66,X_66)),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_90,unit),X_66),ld(X_66,unit)),mult(ld(X_90,unit),mult(X_66,X_66))) )],[refute_0_349,refute_0_354]) ).
cnf(refute_0_356,plain,
( ld(X_88,B) != mult(ld(X_88,unit),B)
| mult(ld(X_88,unit),B) = ld(X_88,B) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_88,B))),bind(Y,$fot(mult(ld(X_88,unit),B)))]]) ).
cnf(refute_0_357,plain,
mult(ld(X_88,unit),B) = ld(X_88,B),
inference(resolve,[$cnf( $equal(ld(X_88,B),mult(ld(X_88,unit),B)) )],[refute_0_285,refute_0_356]) ).
cnf(refute_0_358,plain,
mult(ld(X_90,unit),mult(X_66,X_66)) = ld(X_90,mult(X_66,X_66)),
inference(subst,[],[refute_0_357:[bind(B,$fot(mult(X_66,X_66))),bind(X_88,$fot(X_90))]]) ).
cnf(refute_0_359,plain,
( mult(ld(X_90,unit),mult(X_66,X_66)) != ld(X_90,mult(X_66,X_66))
| rd(ld(X_90,X_66),ld(X_66,unit)) != mult(ld(X_90,unit),mult(X_66,X_66))
| rd(ld(X_90,X_66),ld(X_66,unit)) = ld(X_90,mult(X_66,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_90,X_66),ld(X_66,unit)),mult(ld(X_90,unit),mult(X_66,X_66))) ),[1],$fot(ld(X_90,mult(X_66,X_66)))]]) ).
cnf(refute_0_360,plain,
( rd(ld(X_90,X_66),ld(X_66,unit)) != mult(ld(X_90,unit),mult(X_66,X_66))
| rd(ld(X_90,X_66),ld(X_66,unit)) = ld(X_90,mult(X_66,X_66)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_90,unit),mult(X_66,X_66)),ld(X_90,mult(X_66,X_66))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
rd(ld(X_90,X_66),ld(X_66,unit)) = ld(X_90,mult(X_66,X_66)),
inference(resolve,[$cnf( $equal(rd(ld(X_90,X_66),ld(X_66,unit)),mult(ld(X_90,unit),mult(X_66,X_66))) )],[refute_0_355,refute_0_360]) ).
cnf(refute_0_362,plain,
rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) = ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)),
inference(subst,[],[refute_0_361:[bind(X_66,$fot(X_106)),bind(X_90,$fot(rd(X_106,mult(X_52,X_52))))]]) ).
cnf(refute_0_363,plain,
ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)) = mult(X_52,mult(X_52,X_106)),
inference(subst,[],[refute_0_45:[bind(X_51,$fot(X_106)),bind(X_53,$fot(X_106))]]) ).
cnf(refute_0_364,plain,
( ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)) != mult(X_52,mult(X_52,X_106))
| rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) != ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106))
| rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) = mult(X_52,mult(X_52,X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)),ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106))) ),[1],$fot(mult(X_52,mult(X_52,X_106)))]]) ).
cnf(refute_0_365,plain,
( rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) != ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106))
| rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) = mult(X_52,mult(X_52,X_106)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)),mult(X_52,mult(X_52,X_106))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) = mult(X_52,mult(X_52,X_106)),
inference(resolve,[$cnf( $equal(rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)),ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106))) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
rd(mult(rd(A,X_68),X_68),ld(X_68,unit)) = mult(rd(A,X_68),mult(X_68,X_68)),
inference(subst,[],[refute_0_348:[bind(X_65,$fot(rd(A,X_68))),bind(X_66,$fot(X_68))]]) ).
cnf(refute_0_368,plain,
mult(rd(A,X_68),X_68) = A,
inference(subst,[],[c03:[bind(B,$fot(X_68))]]) ).
cnf(refute_0_369,plain,
( mult(rd(A,X_68),X_68) != A
| rd(mult(rd(A,X_68),X_68),ld(X_68,unit)) != mult(rd(A,X_68),mult(X_68,X_68))
| rd(A,ld(X_68,unit)) = mult(rd(A,X_68),mult(X_68,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_68),X_68),ld(X_68,unit)),mult(rd(A,X_68),mult(X_68,X_68))) ),[0,0],$fot(A)]]) ).
cnf(refute_0_370,plain,
( rd(mult(rd(A,X_68),X_68),ld(X_68,unit)) != mult(rd(A,X_68),mult(X_68,X_68))
| rd(A,ld(X_68,unit)) = mult(rd(A,X_68),mult(X_68,X_68)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_68),X_68),A) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
rd(A,ld(X_68,unit)) = mult(rd(A,X_68),mult(X_68,X_68)),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_68),X_68),ld(X_68,unit)),mult(rd(A,X_68),mult(X_68,X_68))) )],[refute_0_367,refute_0_370]) ).
cnf(refute_0_372,plain,
mult(rd(A,X_68),mult(X_68,X_68)) = ld(rd(X_68,A),mult(X_68,X_68)),
inference(subst,[],[refute_0_311:[bind(B,$fot(mult(X_68,X_68))),bind(X_93,$fot(X_68)),bind(X_94,$fot(A))]]) ).
cnf(refute_0_373,plain,
( mult(rd(A,X_68),mult(X_68,X_68)) != ld(rd(X_68,A),mult(X_68,X_68))
| rd(A,ld(X_68,unit)) != mult(rd(A,X_68),mult(X_68,X_68))
| rd(A,ld(X_68,unit)) = ld(rd(X_68,A),mult(X_68,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(A,ld(X_68,unit)),mult(rd(A,X_68),mult(X_68,X_68))) ),[1],$fot(ld(rd(X_68,A),mult(X_68,X_68)))]]) ).
cnf(refute_0_374,plain,
( rd(A,ld(X_68,unit)) != mult(rd(A,X_68),mult(X_68,X_68))
| rd(A,ld(X_68,unit)) = ld(rd(X_68,A),mult(X_68,X_68)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_68),mult(X_68,X_68)),ld(rd(X_68,A),mult(X_68,X_68))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
rd(A,ld(X_68,unit)) = ld(rd(X_68,A),mult(X_68,X_68)),
inference(resolve,[$cnf( $equal(rd(A,ld(X_68,unit)),mult(rd(A,X_68),mult(X_68,X_68))) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( rd(A,ld(X_68,unit)) != ld(rd(X_68,A),mult(X_68,X_68))
| ld(rd(X_68,A),mult(X_68,X_68)) = rd(A,ld(X_68,unit)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(A,ld(X_68,unit)))),bind(Y,$fot(ld(rd(X_68,A),mult(X_68,X_68))))]]) ).
cnf(refute_0_377,plain,
ld(rd(X_68,A),mult(X_68,X_68)) = rd(A,ld(X_68,unit)),
inference(resolve,[$cnf( $equal(rd(A,ld(X_68,unit)),ld(rd(X_68,A),mult(X_68,X_68))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)) = rd(mult(X_52,X_52),ld(X_106,unit)),
inference(subst,[],[refute_0_377:[bind(A,$fot(mult(X_52,X_52))),bind(X_68,$fot(X_106))]]) ).
cnf(refute_0_379,plain,
( ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)) != rd(mult(X_52,X_52),ld(X_106,unit))
| rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) != ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106))
| rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) = rd(mult(X_52,X_52),ld(X_106,unit)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)))),bind(Y,$fot(ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)))),bind(Z,$fot(rd(mult(X_52,X_52),ld(X_106,unit))))]]) ).
cnf(refute_0_380,plain,
( ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)) != rd(mult(X_52,X_52),ld(X_106,unit))
| rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) = rd(mult(X_52,X_52),ld(X_106,unit)) ),
inference(resolve,[$cnf( $equal(rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)),ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106))) )],[refute_0_362,refute_0_379]) ).
cnf(refute_0_381,plain,
rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) = rd(mult(X_52,X_52),ld(X_106,unit)),
inference(resolve,[$cnf( $equal(ld(rd(X_106,mult(X_52,X_52)),mult(X_106,X_106)),rd(mult(X_52,X_52),ld(X_106,unit))) )],[refute_0_378,refute_0_380]) ).
cnf(refute_0_382,plain,
( rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) != mult(X_52,mult(X_52,X_106))
| rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) != rd(mult(X_52,X_52),ld(X_106,unit))
| rd(mult(X_52,X_52),ld(X_106,unit)) = mult(X_52,mult(X_52,X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)),mult(X_52,mult(X_52,X_106))) ),[0],$fot(rd(mult(X_52,X_52),ld(X_106,unit)))]]) ).
cnf(refute_0_383,plain,
( rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)) != mult(X_52,mult(X_52,X_106))
| rd(mult(X_52,X_52),ld(X_106,unit)) = mult(X_52,mult(X_52,X_106)) ),
inference(resolve,[$cnf( $equal(rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)),rd(mult(X_52,X_52),ld(X_106,unit))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
rd(mult(X_52,X_52),ld(X_106,unit)) = mult(X_52,mult(X_52,X_106)),
inference(resolve,[$cnf( $equal(rd(ld(rd(X_106,mult(X_52,X_52)),X_106),ld(X_106,unit)),mult(X_52,mult(X_52,X_106))) )],[refute_0_366,refute_0_383]) ).
cnf(refute_0_385,plain,
rd(mult(X_137,X_137),ld(X_88,unit)) = mult(X_137,mult(X_137,X_88)),
inference(subst,[],[refute_0_384:[bind(X_106,$fot(X_88)),bind(X_52,$fot(X_137))]]) ).
cnf(refute_0_386,plain,
( rd(X_137,ld(X_88,ld(X_137,unit))) != rd(mult(X_137,X_137),ld(X_88,unit))
| rd(mult(X_137,X_137),ld(X_88,unit)) != mult(X_137,mult(X_137,X_88))
| rd(X_137,ld(X_88,ld(X_137,unit))) = mult(X_137,mult(X_137,X_88)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(rd(X_137,ld(X_88,ld(X_137,unit))),mult(X_137,mult(X_137,X_88))) ),[0],$fot(rd(mult(X_137,X_137),ld(X_88,unit)))]]) ).
cnf(refute_0_387,plain,
( rd(X_137,ld(X_88,ld(X_137,unit))) != rd(mult(X_137,X_137),ld(X_88,unit))
| rd(X_137,ld(X_88,ld(X_137,unit))) = mult(X_137,mult(X_137,X_88)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_137,X_137),ld(X_88,unit)),mult(X_137,mult(X_137,X_88))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
rd(X_137,ld(X_88,ld(X_137,unit))) = mult(X_137,mult(X_137,X_88)),
inference(resolve,[$cnf( $equal(rd(X_137,ld(X_88,ld(X_137,unit))),rd(mult(X_137,X_137),ld(X_88,unit))) )],[refute_0_331,refute_0_387]) ).
cnf(refute_0_389,plain,
rd(X_94,ld(X_169,ld(X_94,unit))) = mult(X_94,mult(X_94,X_169)),
inference(subst,[],[refute_0_388:[bind(X_137,$fot(X_94)),bind(X_88,$fot(X_169))]]) ).
cnf(refute_0_390,plain,
( ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) != mult(rd(X_94,ld(X_169,ld(X_94,unit))),B)
| rd(X_94,ld(X_169,ld(X_94,unit))) != mult(X_94,mult(X_94,X_169))
| ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) = mult(mult(X_94,mult(X_94,X_169)),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(X_169,ld(X_94,unit)),X_94),B),mult(rd(X_94,ld(X_169,ld(X_94,unit))),B)) ),[1,0],$fot(mult(X_94,mult(X_94,X_169)))]]) ).
cnf(refute_0_391,plain,
( ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) != mult(rd(X_94,ld(X_169,ld(X_94,unit))),B)
| ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) = mult(mult(X_94,mult(X_94,X_169)),B) ),
inference(resolve,[$cnf( $equal(rd(X_94,ld(X_169,ld(X_94,unit))),mult(X_94,mult(X_94,X_169))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) = mult(mult(X_94,mult(X_94,X_169)),B),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_169,ld(X_94,unit)),X_94),B),mult(rd(X_94,ld(X_169,ld(X_94,unit))),B)) )],[refute_0_303,refute_0_391]) ).
cnf(refute_0_393,plain,
rd(ld(X_107,ld(X_85,unit)),ld(ld(X_85,unit),unit)) = ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))),
inference(subst,[],[refute_0_361:[bind(X_66,$fot(ld(X_85,unit))),bind(X_90,$fot(X_107))]]) ).
cnf(refute_0_394,plain,
ld(ld(X_85,unit),unit) = mult(X_85,unit),
inference(subst,[],[refute_0_268:[bind(B,$fot(unit))]]) ).
cnf(refute_0_395,plain,
( ld(ld(X_85,unit),unit) != mult(X_85,unit)
| rd(ld(X_107,ld(X_85,unit)),ld(ld(X_85,unit),unit)) != ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))
| rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) = ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),ld(ld(X_85,unit),unit)),ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))) ),[0,1],$fot(mult(X_85,unit))]]) ).
cnf(refute_0_396,plain,
( rd(ld(X_107,ld(X_85,unit)),ld(ld(X_85,unit),unit)) != ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))
| rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) = ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_85,unit),unit),mult(X_85,unit)) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) = ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))),
inference(resolve,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),ld(ld(X_85,unit),unit)),ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
mult(X_85,unit) = X_85,
inference(subst,[],[c05:[bind(A,$fot(X_85))]]) ).
cnf(refute_0_399,plain,
rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) = rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)),
introduced(tautology,[refl,[$fot(rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)))]]) ).
cnf(refute_0_400,plain,
( mult(X_85,unit) != X_85
| rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) != rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit))
| rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) = rd(ld(X_107,ld(X_85,unit)),X_85) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)),rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit))) ),[1,1],$fot(X_85)]]) ).
cnf(refute_0_401,plain,
( mult(X_85,unit) != X_85
| rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) = rd(ld(X_107,ld(X_85,unit)),X_85) ),
inference(resolve,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)),rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) = rd(ld(X_107,ld(X_85,unit)),X_85),
inference(resolve,[$cnf( $equal(mult(X_85,unit),X_85) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
( rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) != ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))
| rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) != rd(ld(X_107,ld(X_85,unit)),X_85)
| rd(ld(X_107,ld(X_85,unit)),X_85) = ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)),ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))) ),[0],$fot(rd(ld(X_107,ld(X_85,unit)),X_85))]]) ).
cnf(refute_0_404,plain,
( rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) != ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))
| rd(ld(X_107,ld(X_85,unit)),X_85) = ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) ),
inference(resolve,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)),rd(ld(X_107,ld(X_85,unit)),X_85)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
mult(ld(X_85,unit),ld(X_85,unit)) = ld(X_85,ld(X_85,unit)),
inference(subst,[],[refute_0_357:[bind(B,$fot(ld(X_85,unit))),bind(X_88,$fot(X_85))]]) ).
cnf(refute_0_406,plain,
ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) = ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))),
introduced(tautology,[refl,[$fot(ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))))]]) ).
cnf(refute_0_407,plain,
( ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) != ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))
| mult(ld(X_85,unit),ld(X_85,unit)) != ld(X_85,ld(X_85,unit))
| ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) = ld(X_107,ld(X_85,ld(X_85,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))),ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))) ),[1,1],$fot(ld(X_85,ld(X_85,unit)))]]) ).
cnf(refute_0_408,plain,
( mult(ld(X_85,unit),ld(X_85,unit)) != ld(X_85,ld(X_85,unit))
| ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) = ld(X_107,ld(X_85,ld(X_85,unit))) ),
inference(resolve,[$cnf( $equal(ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))),ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) = ld(X_107,ld(X_85,ld(X_85,unit))),
inference(resolve,[$cnf( $equal(mult(ld(X_85,unit),ld(X_85,unit)),ld(X_85,ld(X_85,unit))) )],[refute_0_405,refute_0_408]) ).
cnf(refute_0_410,plain,
( ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))) != ld(X_107,ld(X_85,ld(X_85,unit)))
| rd(ld(X_107,ld(X_85,unit)),X_85) != ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))
| rd(ld(X_107,ld(X_85,unit)),X_85) = ld(X_107,ld(X_85,ld(X_85,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),X_85),ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))) ),[1],$fot(ld(X_107,ld(X_85,ld(X_85,unit))))]]) ).
cnf(refute_0_411,plain,
( rd(ld(X_107,ld(X_85,unit)),X_85) != ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))
| rd(ld(X_107,ld(X_85,unit)),X_85) = ld(X_107,ld(X_85,ld(X_85,unit))) ),
inference(resolve,[$cnf( $equal(ld(X_107,mult(ld(X_85,unit),ld(X_85,unit))),ld(X_107,ld(X_85,ld(X_85,unit)))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
( rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)) != ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))
| rd(ld(X_107,ld(X_85,unit)),X_85) = ld(X_107,ld(X_85,ld(X_85,unit))) ),
inference(resolve,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),X_85),ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))) )],[refute_0_404,refute_0_411]) ).
cnf(refute_0_413,plain,
rd(ld(X_107,ld(X_85,unit)),X_85) = ld(X_107,ld(X_85,ld(X_85,unit))),
inference(resolve,[$cnf( $equal(rd(ld(X_107,ld(X_85,unit)),mult(X_85,unit)),ld(X_107,mult(ld(X_85,unit),ld(X_85,unit)))) )],[refute_0_397,refute_0_412]) ).
cnf(refute_0_414,plain,
rd(ld(X_169,ld(X_94,unit)),X_94) = ld(X_169,ld(X_94,ld(X_94,unit))),
inference(subst,[],[refute_0_413:[bind(X_107,$fot(X_169)),bind(X_85,$fot(X_94))]]) ).
cnf(refute_0_415,plain,
ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) = ld(rd(ld(X_169,ld(X_94,unit)),X_94),B),
introduced(tautology,[refl,[$fot(ld(rd(ld(X_169,ld(X_94,unit)),X_94),B))]]) ).
cnf(refute_0_416,plain,
( ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) != ld(rd(ld(X_169,ld(X_94,unit)),X_94),B)
| rd(ld(X_169,ld(X_94,unit)),X_94) != ld(X_169,ld(X_94,ld(X_94,unit)))
| ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) = ld(ld(X_169,ld(X_94,ld(X_94,unit))),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(X_169,ld(X_94,unit)),X_94),B),ld(rd(ld(X_169,ld(X_94,unit)),X_94),B)) ),[1,0],$fot(ld(X_169,ld(X_94,ld(X_94,unit))))]]) ).
cnf(refute_0_417,plain,
( rd(ld(X_169,ld(X_94,unit)),X_94) != ld(X_169,ld(X_94,ld(X_94,unit)))
| ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) = ld(ld(X_169,ld(X_94,ld(X_94,unit))),B) ),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_169,ld(X_94,unit)),X_94),B),ld(rd(ld(X_169,ld(X_94,unit)),X_94),B)) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) = ld(ld(X_169,ld(X_94,ld(X_94,unit))),B),
inference(resolve,[$cnf( $equal(rd(ld(X_169,ld(X_94,unit)),X_94),ld(X_169,ld(X_94,ld(X_94,unit)))) )],[refute_0_414,refute_0_417]) ).
cnf(refute_0_419,plain,
( ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) != ld(ld(X_169,ld(X_94,ld(X_94,unit))),B)
| ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) != mult(mult(X_94,mult(X_94,X_169)),B)
| ld(ld(X_169,ld(X_94,ld(X_94,unit))),B) = mult(mult(X_94,mult(X_94,X_169)),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(X_169,ld(X_94,unit)),X_94),B),mult(mult(X_94,mult(X_94,X_169)),B)) ),[0],$fot(ld(ld(X_169,ld(X_94,ld(X_94,unit))),B))]]) ).
cnf(refute_0_420,plain,
( ld(rd(ld(X_169,ld(X_94,unit)),X_94),B) != mult(mult(X_94,mult(X_94,X_169)),B)
| ld(ld(X_169,ld(X_94,ld(X_94,unit))),B) = mult(mult(X_94,mult(X_94,X_169)),B) ),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_169,ld(X_94,unit)),X_94),B),ld(ld(X_169,ld(X_94,ld(X_94,unit))),B)) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
ld(ld(X_169,ld(X_94,ld(X_94,unit))),B) = mult(mult(X_94,mult(X_94,X_169)),B),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_169,ld(X_94,unit)),X_94),B),mult(mult(X_94,mult(X_94,X_169)),B)) )],[refute_0_392,refute_0_420]) ).
cnf(refute_0_422,plain,
ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226) = mult(mult(X_227,mult(X_227,X_85)),X_226),
inference(subst,[],[refute_0_421:[bind(B,$fot(X_226)),bind(X_169,$fot(X_85)),bind(X_94,$fot(X_227))]]) ).
cnf(refute_0_423,plain,
rd(mult(ld(X_53,unit),X_53),mult(X_52,mult(X_52,X_53))) = rd(ld(X_53,unit),mult(X_52,X_52)),
inference(subst,[],[refute_0_66:[bind(X_51,$fot(ld(X_53,unit)))]]) ).
cnf(refute_0_424,plain,
mult(rd(unit,B),B) = unit,
inference(subst,[],[c03:[bind(A,$fot(unit))]]) ).
cnf(refute_0_425,plain,
ld(B,unit) = rd(unit,B),
inference(subst,[],[refute_0_245:[bind(X_6,$fot(B))]]) ).
cnf(refute_0_426,plain,
( ld(B,unit) != rd(unit,B)
| rd(unit,B) = ld(B,unit) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(B,unit))),bind(Y,$fot(rd(unit,B)))]]) ).
cnf(refute_0_427,plain,
rd(unit,B) = ld(B,unit),
inference(resolve,[$cnf( $equal(ld(B,unit),rd(unit,B)) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
( mult(rd(unit,B),B) != unit
| rd(unit,B) != ld(B,unit)
| mult(ld(B,unit),B) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,B),B),unit) ),[0,0],$fot(ld(B,unit))]]) ).
cnf(refute_0_429,plain,
( mult(rd(unit,B),B) != unit
| mult(ld(B,unit),B) = unit ),
inference(resolve,[$cnf( $equal(rd(unit,B),ld(B,unit)) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
mult(ld(B,unit),B) = unit,
inference(resolve,[$cnf( $equal(mult(rd(unit,B),B),unit) )],[refute_0_424,refute_0_429]) ).
cnf(refute_0_431,plain,
mult(ld(X_53,unit),X_53) = unit,
inference(subst,[],[refute_0_430:[bind(B,$fot(X_53))]]) ).
cnf(refute_0_432,plain,
( mult(ld(X_53,unit),X_53) != unit
| rd(mult(ld(X_53,unit),X_53),mult(X_52,mult(X_52,X_53))) != rd(ld(X_53,unit),mult(X_52,X_52))
| rd(unit,mult(X_52,mult(X_52,X_53))) = rd(ld(X_53,unit),mult(X_52,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_53,unit),X_53),mult(X_52,mult(X_52,X_53))),rd(ld(X_53,unit),mult(X_52,X_52))) ),[0,0],$fot(unit)]]) ).
cnf(refute_0_433,plain,
( rd(mult(ld(X_53,unit),X_53),mult(X_52,mult(X_52,X_53))) != rd(ld(X_53,unit),mult(X_52,X_52))
| rd(unit,mult(X_52,mult(X_52,X_53))) = rd(ld(X_53,unit),mult(X_52,X_52)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_53,unit),X_53),unit) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
rd(unit,mult(X_52,mult(X_52,X_53))) = rd(ld(X_53,unit),mult(X_52,X_52)),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_53,unit),X_53),mult(X_52,mult(X_52,X_53))),rd(ld(X_53,unit),mult(X_52,X_52))) )],[refute_0_423,refute_0_433]) ).
cnf(refute_0_435,plain,
rd(unit,mult(X_52,mult(X_52,X_53))) = ld(mult(X_52,mult(X_52,X_53)),unit),
inference(subst,[],[refute_0_247:[bind(X_6,$fot(mult(X_52,mult(X_52,X_53))))]]) ).
cnf(refute_0_436,plain,
( rd(unit,mult(X_52,mult(X_52,X_53))) != ld(mult(X_52,mult(X_52,X_53)),unit)
| rd(unit,mult(X_52,mult(X_52,X_53))) != rd(ld(X_53,unit),mult(X_52,X_52))
| ld(mult(X_52,mult(X_52,X_53)),unit) = rd(ld(X_53,unit),mult(X_52,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,mult(X_52,mult(X_52,X_53))),rd(ld(X_53,unit),mult(X_52,X_52))) ),[0],$fot(ld(mult(X_52,mult(X_52,X_53)),unit))]]) ).
cnf(refute_0_437,plain,
( rd(unit,mult(X_52,mult(X_52,X_53))) != rd(ld(X_53,unit),mult(X_52,X_52))
| ld(mult(X_52,mult(X_52,X_53)),unit) = rd(ld(X_53,unit),mult(X_52,X_52)) ),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_52,mult(X_52,X_53))),ld(mult(X_52,mult(X_52,X_53)),unit)) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
ld(mult(X_52,mult(X_52,X_53)),unit) = rd(ld(X_53,unit),mult(X_52,X_52)),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_52,mult(X_52,X_53))),rd(ld(X_53,unit),mult(X_52,X_52))) )],[refute_0_434,refute_0_437]) ).
cnf(refute_0_439,plain,
rd(mult(rd(A,mult(X_66,X_64)),mult(X_66,X_64)),ld(X_66,X_64)) = mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66)),
inference(subst,[],[refute_0_343:[bind(B,$fot(X_64)),bind(X_46,$fot(rd(A,mult(X_66,X_64)))),bind(X_47,$fot(X_66))]]) ).
cnf(refute_0_440,plain,
mult(rd(A,mult(X_66,X_64)),mult(X_66,X_64)) = A,
inference(subst,[],[c03:[bind(B,$fot(mult(X_66,X_64)))]]) ).
cnf(refute_0_441,plain,
( mult(rd(A,mult(X_66,X_64)),mult(X_66,X_64)) != A
| rd(mult(rd(A,mult(X_66,X_64)),mult(X_66,X_64)),ld(X_66,X_64)) != mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66))
| rd(A,ld(X_66,X_64)) = mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,mult(X_66,X_64)),mult(X_66,X_64)),ld(X_66,X_64)),mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66))) ),[0,0],$fot(A)]]) ).
cnf(refute_0_442,plain,
( rd(mult(rd(A,mult(X_66,X_64)),mult(X_66,X_64)),ld(X_66,X_64)) != mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66))
| rd(A,ld(X_66,X_64)) = mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_66,X_64)),mult(X_66,X_64)),A) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
rd(A,ld(X_66,X_64)) = mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66)),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,mult(X_66,X_64)),mult(X_66,X_64)),ld(X_66,X_64)),mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66))) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66)) = ld(rd(mult(X_66,X_64),A),mult(X_66,X_66)),
inference(subst,[],[refute_0_311:[bind(B,$fot(mult(X_66,X_66))),bind(X_93,$fot(mult(X_66,X_64))),bind(X_94,$fot(A))]]) ).
cnf(refute_0_445,plain,
( mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66)) != ld(rd(mult(X_66,X_64),A),mult(X_66,X_66))
| rd(A,ld(X_66,X_64)) != mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66))
| rd(A,ld(X_66,X_64)) = ld(rd(mult(X_66,X_64),A),mult(X_66,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(A,ld(X_66,X_64)),mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66))) ),[1],$fot(ld(rd(mult(X_66,X_64),A),mult(X_66,X_66)))]]) ).
cnf(refute_0_446,plain,
( rd(A,ld(X_66,X_64)) != mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66))
| rd(A,ld(X_66,X_64)) = ld(rd(mult(X_66,X_64),A),mult(X_66,X_66)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66)),ld(rd(mult(X_66,X_64),A),mult(X_66,X_66))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
rd(A,ld(X_66,X_64)) = ld(rd(mult(X_66,X_64),A),mult(X_66,X_66)),
inference(resolve,[$cnf( $equal(rd(A,ld(X_66,X_64)),mult(rd(A,mult(X_66,X_64)),mult(X_66,X_66))) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
rd(ld(X_148,unit),ld(X_149,X_148)) = ld(rd(mult(X_149,X_148),ld(X_148,unit)),mult(X_149,X_149)),
inference(subst,[],[refute_0_447:[bind(A,$fot(ld(X_148,unit))),bind(X_64,$fot(X_148)),bind(X_66,$fot(X_149))]]) ).
cnf(refute_0_449,plain,
rd(mult(X_149,X_148),ld(X_148,unit)) = mult(X_149,mult(X_148,X_148)),
inference(subst,[],[refute_0_348:[bind(X_65,$fot(X_149)),bind(X_66,$fot(X_148))]]) ).
cnf(refute_0_450,plain,
( rd(ld(X_148,unit),ld(X_149,X_148)) != ld(rd(mult(X_149,X_148),ld(X_148,unit)),mult(X_149,X_149))
| rd(mult(X_149,X_148),ld(X_148,unit)) != mult(X_149,mult(X_148,X_148))
| rd(ld(X_148,unit),ld(X_149,X_148)) = ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_148,unit),ld(X_149,X_148)),ld(rd(mult(X_149,X_148),ld(X_148,unit)),mult(X_149,X_149))) ),[1,0],$fot(mult(X_149,mult(X_148,X_148)))]]) ).
cnf(refute_0_451,plain,
( rd(ld(X_148,unit),ld(X_149,X_148)) != ld(rd(mult(X_149,X_148),ld(X_148,unit)),mult(X_149,X_149))
| rd(ld(X_148,unit),ld(X_149,X_148)) = ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_149,X_148),ld(X_148,unit)),mult(X_149,mult(X_148,X_148))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
rd(ld(X_148,unit),ld(X_149,X_148)) = ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)),
inference(resolve,[$cnf( $equal(rd(ld(X_148,unit),ld(X_149,X_148)),ld(rd(mult(X_149,X_148),ld(X_148,unit)),mult(X_149,X_149))) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
rd(ld(X_106,unit),ld(X_107,X_106)) = ld(rd(ld(X_107,X_106),ld(X_106,unit)),unit),
inference(subst,[],[refute_0_296:[bind(A,$fot(ld(X_107,X_106))),bind(X_91,$fot(ld(X_106,unit)))]]) ).
cnf(refute_0_454,plain,
rd(ld(X_107,X_106),ld(X_106,unit)) = ld(X_107,mult(X_106,X_106)),
inference(subst,[],[refute_0_361:[bind(X_66,$fot(X_106)),bind(X_90,$fot(X_107))]]) ).
cnf(refute_0_455,plain,
( rd(ld(X_106,unit),ld(X_107,X_106)) != ld(rd(ld(X_107,X_106),ld(X_106,unit)),unit)
| rd(ld(X_107,X_106),ld(X_106,unit)) != ld(X_107,mult(X_106,X_106))
| rd(ld(X_106,unit),ld(X_107,X_106)) = ld(ld(X_107,mult(X_106,X_106)),unit) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_106,unit),ld(X_107,X_106)),ld(rd(ld(X_107,X_106),ld(X_106,unit)),unit)) ),[1,0],$fot(ld(X_107,mult(X_106,X_106)))]]) ).
cnf(refute_0_456,plain,
( rd(ld(X_106,unit),ld(X_107,X_106)) != ld(rd(ld(X_107,X_106),ld(X_106,unit)),unit)
| rd(ld(X_106,unit),ld(X_107,X_106)) = ld(ld(X_107,mult(X_106,X_106)),unit) ),
inference(resolve,[$cnf( $equal(rd(ld(X_107,X_106),ld(X_106,unit)),ld(X_107,mult(X_106,X_106))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
rd(ld(X_106,unit),ld(X_107,X_106)) = ld(ld(X_107,mult(X_106,X_106)),unit),
inference(resolve,[$cnf( $equal(rd(ld(X_106,unit),ld(X_107,X_106)),ld(rd(ld(X_107,X_106),ld(X_106,unit)),unit)) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
rd(ld(X_148,unit),ld(X_149,X_148)) = ld(ld(X_149,mult(X_148,X_148)),unit),
inference(subst,[],[refute_0_457:[bind(X_106,$fot(X_148)),bind(X_107,$fot(X_149))]]) ).
cnf(refute_0_459,plain,
( rd(ld(X_148,unit),ld(X_149,X_148)) != ld(ld(X_149,mult(X_148,X_148)),unit)
| rd(ld(X_148,unit),ld(X_149,X_148)) != ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149))
| ld(ld(X_149,mult(X_148,X_148)),unit) = ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_148,unit),ld(X_149,X_148)),ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149))) ),[0],$fot(ld(ld(X_149,mult(X_148,X_148)),unit))]]) ).
cnf(refute_0_460,plain,
( rd(ld(X_148,unit),ld(X_149,X_148)) != ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149))
| ld(ld(X_149,mult(X_148,X_148)),unit) = ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_148,unit),ld(X_149,X_148)),ld(ld(X_149,mult(X_148,X_148)),unit)) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
ld(rd(X_51,mult(ld(X_90,unit),ld(X_90,unit))),mult(X_51,X_53)) = mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)),
inference(subst,[],[refute_0_45:[bind(X_52,$fot(ld(X_90,unit)))]]) ).
cnf(refute_0_462,plain,
ld(X_90,ld(X_90,unit)) = mult(ld(X_90,unit),ld(X_90,unit)),
inference(subst,[],[refute_0_285:[bind(B,$fot(ld(X_90,unit))),bind(X_88,$fot(X_90))]]) ).
cnf(refute_0_463,plain,
( ld(X_90,ld(X_90,unit)) != mult(ld(X_90,unit),ld(X_90,unit))
| mult(ld(X_90,unit),ld(X_90,unit)) = ld(X_90,ld(X_90,unit)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_90,ld(X_90,unit)))),bind(Y,$fot(mult(ld(X_90,unit),ld(X_90,unit))))]]) ).
cnf(refute_0_464,plain,
mult(ld(X_90,unit),ld(X_90,unit)) = ld(X_90,ld(X_90,unit)),
inference(resolve,[$cnf( $equal(ld(X_90,ld(X_90,unit)),mult(ld(X_90,unit),ld(X_90,unit))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
( ld(rd(X_51,mult(ld(X_90,unit),ld(X_90,unit))),mult(X_51,X_53)) != mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))
| mult(ld(X_90,unit),ld(X_90,unit)) != ld(X_90,ld(X_90,unit))
| ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) = mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_51,mult(ld(X_90,unit),ld(X_90,unit))),mult(X_51,X_53)),mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))) ),[0,0,1],$fot(ld(X_90,ld(X_90,unit)))]]) ).
cnf(refute_0_466,plain,
( ld(rd(X_51,mult(ld(X_90,unit),ld(X_90,unit))),mult(X_51,X_53)) != mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))
| ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) = mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_90,unit),ld(X_90,unit)),ld(X_90,ld(X_90,unit))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) = mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)),
inference(resolve,[$cnf( $equal(ld(rd(X_51,mult(ld(X_90,unit),ld(X_90,unit))),mult(X_51,X_53)),mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))) )],[refute_0_461,refute_0_466]) ).
cnf(refute_0_468,plain,
rd(mult(X_51,X_53),mult(ld(X_53,unit),mult(ld(X_53,unit),X_53))) = rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))),
inference(subst,[],[refute_0_66:[bind(X_52,$fot(ld(X_53,unit)))]]) ).
cnf(refute_0_469,plain,
( mult(ld(X_53,unit),X_53) != unit
| rd(mult(X_51,X_53),mult(ld(X_53,unit),mult(ld(X_53,unit),X_53))) != rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_51,X_53),mult(ld(X_53,unit),mult(ld(X_53,unit),X_53))),rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))) ),[0,1,1],$fot(unit)]]) ).
cnf(refute_0_470,plain,
( rd(mult(X_51,X_53),mult(ld(X_53,unit),mult(ld(X_53,unit),X_53))) != rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_53,unit),X_53),unit) )],[refute_0_431,refute_0_469]) ).
cnf(refute_0_471,plain,
rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))),
inference(resolve,[$cnf( $equal(rd(mult(X_51,X_53),mult(ld(X_53,unit),mult(ld(X_53,unit),X_53))),rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))) )],[refute_0_468,refute_0_470]) ).
cnf(refute_0_472,plain,
rd(mult(X_51,X_53),ld(X_53,unit)) = mult(X_51,mult(X_53,X_53)),
inference(subst,[],[refute_0_348:[bind(X_65,$fot(X_51)),bind(X_66,$fot(X_53))]]) ).
cnf(refute_0_473,plain,
mult(ld(X_53,unit),unit) = ld(X_53,unit),
inference(subst,[],[c05:[bind(A,$fot(ld(X_53,unit)))]]) ).
cnf(refute_0_474,plain,
rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)),
introduced(tautology,[refl,[$fot(rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)))]]) ).
cnf(refute_0_475,plain,
( mult(ld(X_53,unit),unit) != ld(X_53,unit)
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) != rd(mult(X_51,X_53),mult(ld(X_53,unit),unit))
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = rd(mult(X_51,X_53),ld(X_53,unit)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)),rd(mult(X_51,X_53),mult(ld(X_53,unit),unit))) ),[1,1],$fot(ld(X_53,unit))]]) ).
cnf(refute_0_476,plain,
( mult(ld(X_53,unit),unit) != ld(X_53,unit)
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = rd(mult(X_51,X_53),ld(X_53,unit)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)),rd(mult(X_51,X_53),mult(ld(X_53,unit),unit))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = rd(mult(X_51,X_53),ld(X_53,unit)),
inference(resolve,[$cnf( $equal(mult(ld(X_53,unit),unit),ld(X_53,unit)) )],[refute_0_473,refute_0_476]) ).
cnf(refute_0_478,plain,
( rd(mult(X_51,X_53),ld(X_53,unit)) != mult(X_51,mult(X_53,X_53))
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) != rd(mult(X_51,X_53),ld(X_53,unit))
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = mult(X_51,mult(X_53,X_53)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)))),bind(Y,$fot(rd(mult(X_51,X_53),ld(X_53,unit)))),bind(Z,$fot(mult(X_51,mult(X_53,X_53))))]]) ).
cnf(refute_0_479,plain,
( rd(mult(X_51,X_53),ld(X_53,unit)) != mult(X_51,mult(X_53,X_53))
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = mult(X_51,mult(X_53,X_53)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)),rd(mult(X_51,X_53),ld(X_53,unit))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) = mult(X_51,mult(X_53,X_53)),
inference(resolve,[$cnf( $equal(rd(mult(X_51,X_53),ld(X_53,unit)),mult(X_51,mult(X_53,X_53))) )],[refute_0_472,refute_0_479]) ).
cnf(refute_0_481,plain,
( rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) != mult(X_51,mult(X_53,X_53))
| rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) != rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))
| mult(X_51,mult(X_53,X_53)) = rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)),rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))) ),[0],$fot(mult(X_51,mult(X_53,X_53)))]]) ).
cnf(refute_0_482,plain,
( rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) != rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))
| mult(X_51,mult(X_53,X_53)) = rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) ),
inference(resolve,[$cnf( $equal(rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)),mult(X_51,mult(X_53,X_53))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) = mult(ld(X_11,unit),ld(X_11,unit)),
inference(subst,[],[refute_0_210:[bind(X_76,$fot(ld(X_11,unit)))]]) ).
cnf(refute_0_484,plain,
( rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != mult(ld(X_11,unit),ld(X_11,unit))
| rd(unit,ld(X_11,unit)) != X_11
| rd(ld(X_11,unit),X_11) = mult(ld(X_11,unit),ld(X_11,unit)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),mult(ld(X_11,unit),ld(X_11,unit))) ),[0,1],$fot(X_11)]]) ).
cnf(refute_0_485,plain,
( rd(ld(X_11,unit),rd(unit,ld(X_11,unit))) != mult(ld(X_11,unit),ld(X_11,unit))
| rd(ld(X_11,unit),X_11) = mult(ld(X_11,unit),ld(X_11,unit)) ),
inference(resolve,[$cnf( $equal(rd(unit,ld(X_11,unit)),X_11) )],[refute_0_125,refute_0_484]) ).
cnf(refute_0_486,plain,
rd(ld(X_11,unit),X_11) = mult(ld(X_11,unit),ld(X_11,unit)),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),rd(unit,ld(X_11,unit))),mult(ld(X_11,unit),ld(X_11,unit))) )],[refute_0_483,refute_0_485]) ).
cnf(refute_0_487,plain,
ld(rd(unit,rd(rd(unit,X_74),X_74)),unit) = rd(rd(unit,X_74),X_74),
inference(subst,[],[refute_0_61:[bind(B,$fot(rd(rd(unit,X_74),X_74))),bind(X_6,$fot(unit))]]) ).
cnf(refute_0_488,plain,
rd(X_74,rd(unit,X_74)) = rd(unit,rd(rd(unit,X_74),X_74)),
inference(subst,[],[refute_0_123:[bind(B,$fot(X_74))]]) ).
cnf(refute_0_489,plain,
( rd(X_74,rd(unit,X_74)) != rd(unit,rd(rd(unit,X_74),X_74))
| rd(unit,rd(rd(unit,X_74),X_74)) = rd(X_74,rd(unit,X_74)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(X_74,rd(unit,X_74)))),bind(Y,$fot(rd(unit,rd(rd(unit,X_74),X_74))))]]) ).
cnf(refute_0_490,plain,
rd(unit,rd(rd(unit,X_74),X_74)) = rd(X_74,rd(unit,X_74)),
inference(resolve,[$cnf( $equal(rd(X_74,rd(unit,X_74)),rd(unit,rd(rd(unit,X_74),X_74))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
( ld(rd(unit,rd(rd(unit,X_74),X_74)),unit) != rd(rd(unit,X_74),X_74)
| rd(unit,rd(rd(unit,X_74),X_74)) != rd(X_74,rd(unit,X_74))
| ld(rd(X_74,rd(unit,X_74)),unit) = rd(rd(unit,X_74),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(unit,rd(rd(unit,X_74),X_74)),unit),rd(rd(unit,X_74),X_74)) ),[0,0],$fot(rd(X_74,rd(unit,X_74)))]]) ).
cnf(refute_0_492,plain,
( ld(rd(unit,rd(rd(unit,X_74),X_74)),unit) != rd(rd(unit,X_74),X_74)
| ld(rd(X_74,rd(unit,X_74)),unit) = rd(rd(unit,X_74),X_74) ),
inference(resolve,[$cnf( $equal(rd(unit,rd(rd(unit,X_74),X_74)),rd(X_74,rd(unit,X_74))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
ld(rd(X_74,rd(unit,X_74)),unit) = rd(rd(unit,X_74),X_74),
inference(resolve,[$cnf( $equal(ld(rd(unit,rd(rd(unit,X_74),X_74)),unit),rd(rd(unit,X_74),X_74)) )],[refute_0_487,refute_0_492]) ).
cnf(refute_0_494,plain,
ld(mult(X_74,X_74),unit) = ld(X_74,ld(X_74,unit)),
inference(subst,[],[refute_0_238:[bind(B,$fot(unit)),bind(X_34,$fot(X_74))]]) ).
cnf(refute_0_495,plain,
rd(X_74,rd(unit,X_74)) = mult(X_74,X_74),
inference(subst,[],[refute_0_210:[bind(X_76,$fot(X_74))]]) ).
cnf(refute_0_496,plain,
ld(rd(X_74,rd(unit,X_74)),unit) = ld(rd(X_74,rd(unit,X_74)),unit),
introduced(tautology,[refl,[$fot(ld(rd(X_74,rd(unit,X_74)),unit))]]) ).
cnf(refute_0_497,plain,
( ld(rd(X_74,rd(unit,X_74)),unit) != ld(rd(X_74,rd(unit,X_74)),unit)
| rd(X_74,rd(unit,X_74)) != mult(X_74,X_74)
| ld(rd(X_74,rd(unit,X_74)),unit) = ld(mult(X_74,X_74),unit) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_74,rd(unit,X_74)),unit),ld(rd(X_74,rd(unit,X_74)),unit)) ),[1,0],$fot(mult(X_74,X_74))]]) ).
cnf(refute_0_498,plain,
( rd(X_74,rd(unit,X_74)) != mult(X_74,X_74)
| ld(rd(X_74,rd(unit,X_74)),unit) = ld(mult(X_74,X_74),unit) ),
inference(resolve,[$cnf( $equal(ld(rd(X_74,rd(unit,X_74)),unit),ld(rd(X_74,rd(unit,X_74)),unit)) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
ld(rd(X_74,rd(unit,X_74)),unit) = ld(mult(X_74,X_74),unit),
inference(resolve,[$cnf( $equal(rd(X_74,rd(unit,X_74)),mult(X_74,X_74)) )],[refute_0_495,refute_0_498]) ).
cnf(refute_0_500,plain,
( ld(mult(X_74,X_74),unit) != ld(X_74,ld(X_74,unit))
| ld(rd(X_74,rd(unit,X_74)),unit) != ld(mult(X_74,X_74),unit)
| ld(rd(X_74,rd(unit,X_74)),unit) = ld(X_74,ld(X_74,unit)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(rd(X_74,rd(unit,X_74)),unit))),bind(Y,$fot(ld(mult(X_74,X_74),unit))),bind(Z,$fot(ld(X_74,ld(X_74,unit))))]]) ).
cnf(refute_0_501,plain,
( ld(mult(X_74,X_74),unit) != ld(X_74,ld(X_74,unit))
| ld(rd(X_74,rd(unit,X_74)),unit) = ld(X_74,ld(X_74,unit)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_74,rd(unit,X_74)),unit),ld(mult(X_74,X_74),unit)) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
ld(rd(X_74,rd(unit,X_74)),unit) = ld(X_74,ld(X_74,unit)),
inference(resolve,[$cnf( $equal(ld(mult(X_74,X_74),unit),ld(X_74,ld(X_74,unit))) )],[refute_0_494,refute_0_501]) ).
cnf(refute_0_503,plain,
( ld(rd(X_74,rd(unit,X_74)),unit) != ld(X_74,ld(X_74,unit))
| ld(rd(X_74,rd(unit,X_74)),unit) != rd(rd(unit,X_74),X_74)
| ld(X_74,ld(X_74,unit)) = rd(rd(unit,X_74),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_74,rd(unit,X_74)),unit),rd(rd(unit,X_74),X_74)) ),[0],$fot(ld(X_74,ld(X_74,unit)))]]) ).
cnf(refute_0_504,plain,
( ld(rd(X_74,rd(unit,X_74)),unit) != rd(rd(unit,X_74),X_74)
| ld(X_74,ld(X_74,unit)) = rd(rd(unit,X_74),X_74) ),
inference(resolve,[$cnf( $equal(ld(rd(X_74,rd(unit,X_74)),unit),ld(X_74,ld(X_74,unit))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
rd(mult(X_30,ld(X_30,B)),ld(X_30,ld(X_30,B))) = mult(X_30,X_30),
inference(subst,[],[refute_0_84:[bind(B,$fot(ld(X_30,B))),bind(X_26,$fot(X_30))]]) ).
cnf(refute_0_506,plain,
mult(X_30,ld(X_30,B)) = B,
inference(subst,[],[c01:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_507,plain,
( mult(X_30,ld(X_30,B)) != B
| rd(mult(X_30,ld(X_30,B)),ld(X_30,ld(X_30,B))) != mult(X_30,X_30)
| rd(B,ld(X_30,ld(X_30,B))) = mult(X_30,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_30,ld(X_30,B)),ld(X_30,ld(X_30,B))),mult(X_30,X_30)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_508,plain,
( rd(mult(X_30,ld(X_30,B)),ld(X_30,ld(X_30,B))) != mult(X_30,X_30)
| rd(B,ld(X_30,ld(X_30,B))) = mult(X_30,X_30) ),
inference(resolve,[$cnf( $equal(mult(X_30,ld(X_30,B)),B) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
rd(B,ld(X_30,ld(X_30,B))) = mult(X_30,X_30),
inference(resolve,[$cnf( $equal(rd(mult(X_30,ld(X_30,B)),ld(X_30,ld(X_30,B))),mult(X_30,X_30)) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
rd(unit,ld(rd(X_76,mult(X_76,X_76)),ld(rd(X_76,mult(X_76,X_76)),unit))) = mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),
inference(subst,[],[refute_0_509:[bind(B,$fot(unit)),bind(X_30,$fot(rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_511,plain,
( ld(rd(X_76,mult(X_76,X_76)),unit) != X_76
| rd(unit,ld(rd(X_76,mult(X_76,X_76)),ld(rd(X_76,mult(X_76,X_76)),unit))) != mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))
| rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) = mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),ld(rd(X_76,mult(X_76,X_76)),unit))),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),[0,1,1],$fot(X_76)]]) ).
cnf(refute_0_512,plain,
( rd(unit,ld(rd(X_76,mult(X_76,X_76)),ld(rd(X_76,mult(X_76,X_76)),unit))) != mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))
| rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) = mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_76,mult(X_76,X_76)),unit),X_76) )],[refute_0_163,refute_0_511]) ).
cnf(refute_0_513,plain,
rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) = mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),
inference(resolve,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),ld(rd(X_76,mult(X_76,X_76)),unit))),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) )],[refute_0_510,refute_0_512]) ).
cnf(refute_0_514,plain,
ld(rd(X_76,mult(X_76,X_76)),X_76) = mult(X_76,X_76),
inference(subst,[],[refute_0_61:[bind(B,$fot(mult(X_76,X_76))),bind(X_6,$fot(X_76))]]) ).
cnf(refute_0_515,plain,
rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) = rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)),
introduced(tautology,[refl,[$fot(rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)))]]) ).
cnf(refute_0_516,plain,
( ld(rd(X_76,mult(X_76,X_76)),X_76) != mult(X_76,X_76)
| rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) != rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76))
| rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) = rd(unit,mult(X_76,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)),rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76))) ),[1,1],$fot(mult(X_76,X_76))]]) ).
cnf(refute_0_517,plain,
( ld(rd(X_76,mult(X_76,X_76)),X_76) != mult(X_76,X_76)
| rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) = rd(unit,mult(X_76,X_76)) ),
inference(resolve,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)),rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) = rd(unit,mult(X_76,X_76)),
inference(resolve,[$cnf( $equal(ld(rd(X_76,mult(X_76,X_76)),X_76),mult(X_76,X_76)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
( rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) != mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))
| rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) != rd(unit,mult(X_76,X_76))
| rd(unit,mult(X_76,X_76)) = mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),[0],$fot(rd(unit,mult(X_76,X_76)))]]) ).
cnf(refute_0_520,plain,
( rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)) != mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))
| rd(unit,mult(X_76,X_76)) = mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) ),
inference(resolve,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)),rd(unit,mult(X_76,X_76))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
rd(unit,mult(X_76,X_76)) = mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),
inference(resolve,[$cnf( $equal(rd(unit,ld(rd(X_76,mult(X_76,X_76)),X_76)),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) )],[refute_0_513,refute_0_520]) ).
cnf(refute_0_522,plain,
mult(rd(unit,X_76),rd(unit,X_76)) = rd(rd(unit,X_76),X_76),
inference(subst,[],[refute_0_96:[bind(B,$fot(X_76))]]) ).
cnf(refute_0_523,plain,
mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))),
introduced(tautology,[refl,[$fot(mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_524,plain,
( mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) != mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76)))
| rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(unit,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))),mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76)))) ),[1,1],$fot(rd(unit,X_76))]]) ).
cnf(refute_0_525,plain,
( rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(unit,X_76)) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))),mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76)))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(unit,X_76)),
inference(resolve,[$cnf( $equal(rd(X_76,mult(X_76,X_76)),rd(unit,X_76)) )],[refute_0_173,refute_0_525]) ).
cnf(refute_0_527,plain,
mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),
introduced(tautology,[refl,[$fot(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_528,plain,
( mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) != mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))
| rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),[1,0],$fot(rd(unit,X_76))]]) ).
cnf(refute_0_529,plain,
( rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))),
inference(resolve,[$cnf( $equal(rd(X_76,mult(X_76,X_76)),rd(unit,X_76)) )],[refute_0_173,refute_0_529]) ).
cnf(refute_0_531,plain,
( mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) != mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76)))
| mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) != mult(rd(unit,X_76),rd(unit,X_76))
| mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(unit,X_76)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))),bind(Y,$fot(mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))))),bind(Z,$fot(mult(rd(unit,X_76),rd(unit,X_76))))]]) ).
cnf(refute_0_532,plain,
( mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))) != mult(rd(unit,X_76),rd(unit,X_76))
| mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(unit,X_76)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76)))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = mult(rd(unit,X_76),rd(unit,X_76)),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_76),rd(X_76,mult(X_76,X_76))),mult(rd(unit,X_76),rd(unit,X_76))) )],[refute_0_526,refute_0_532]) ).
cnf(refute_0_534,plain,
( mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) != mult(rd(unit,X_76),rd(unit,X_76))
| mult(rd(unit,X_76),rd(unit,X_76)) != rd(rd(unit,X_76),X_76)
| mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = rd(rd(unit,X_76),X_76) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))),bind(Y,$fot(mult(rd(unit,X_76),rd(unit,X_76)))),bind(Z,$fot(rd(rd(unit,X_76),X_76)))]]) ).
cnf(refute_0_535,plain,
( mult(rd(unit,X_76),rd(unit,X_76)) != rd(rd(unit,X_76),X_76)
| mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = rd(rd(unit,X_76),X_76) ),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),mult(rd(unit,X_76),rd(unit,X_76))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = rd(rd(unit,X_76),X_76),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_76),rd(unit,X_76)),rd(rd(unit,X_76),X_76)) )],[refute_0_522,refute_0_535]) ).
cnf(refute_0_537,plain,
( mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) != rd(rd(unit,X_76),X_76)
| rd(unit,mult(X_76,X_76)) != mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))
| rd(unit,mult(X_76,X_76)) = rd(rd(unit,X_76),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,mult(X_76,X_76)),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),[1],$fot(rd(rd(unit,X_76),X_76))]]) ).
cnf(refute_0_538,plain,
( rd(unit,mult(X_76,X_76)) != mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))
| rd(unit,mult(X_76,X_76)) = rd(rd(unit,X_76),X_76) ),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),rd(rd(unit,X_76),X_76)) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
rd(unit,mult(X_76,X_76)) = rd(rd(unit,X_76),X_76),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_76,X_76)),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) )],[refute_0_521,refute_0_538]) ).
cnf(refute_0_540,plain,
( rd(unit,mult(X_76,X_76)) != rd(rd(unit,X_76),X_76)
| rd(rd(unit,X_76),X_76) = rd(unit,mult(X_76,X_76)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(unit,mult(X_76,X_76)))),bind(Y,$fot(rd(rd(unit,X_76),X_76)))]]) ).
cnf(refute_0_541,plain,
rd(rd(unit,X_76),X_76) = rd(unit,mult(X_76,X_76)),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_76,X_76)),rd(rd(unit,X_76),X_76)) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
rd(rd(unit,X_74),X_74) = rd(unit,mult(X_74,X_74)),
inference(subst,[],[refute_0_541:[bind(X_76,$fot(X_74))]]) ).
cnf(refute_0_543,plain,
( ld(X_74,ld(X_74,unit)) != rd(rd(unit,X_74),X_74)
| rd(rd(unit,X_74),X_74) != rd(unit,mult(X_74,X_74))
| ld(X_74,ld(X_74,unit)) = rd(unit,mult(X_74,X_74)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_74,ld(X_74,unit)),rd(unit,mult(X_74,X_74))) ),[0],$fot(rd(rd(unit,X_74),X_74))]]) ).
cnf(refute_0_544,plain,
( ld(X_74,ld(X_74,unit)) != rd(rd(unit,X_74),X_74)
| ld(X_74,ld(X_74,unit)) = rd(unit,mult(X_74,X_74)) ),
inference(resolve,[$cnf( $equal(rd(rd(unit,X_74),X_74),rd(unit,mult(X_74,X_74))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
( ld(rd(X_74,rd(unit,X_74)),unit) != rd(rd(unit,X_74),X_74)
| ld(X_74,ld(X_74,unit)) = rd(unit,mult(X_74,X_74)) ),
inference(resolve,[$cnf( $equal(ld(X_74,ld(X_74,unit)),rd(rd(unit,X_74),X_74)) )],[refute_0_504,refute_0_544]) ).
cnf(refute_0_546,plain,
ld(X_74,ld(X_74,unit)) = rd(unit,mult(X_74,X_74)),
inference(resolve,[$cnf( $equal(ld(rd(X_74,rd(unit,X_74)),unit),rd(rd(unit,X_74),X_74)) )],[refute_0_493,refute_0_545]) ).
cnf(refute_0_547,plain,
( ld(X_74,ld(X_74,unit)) != rd(unit,mult(X_74,X_74))
| rd(unit,mult(X_74,X_74)) = ld(X_74,ld(X_74,unit)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_74,ld(X_74,unit)))),bind(Y,$fot(rd(unit,mult(X_74,X_74))))]]) ).
cnf(refute_0_548,plain,
rd(unit,mult(X_74,X_74)) = ld(X_74,ld(X_74,unit)),
inference(resolve,[$cnf( $equal(ld(X_74,ld(X_74,unit)),rd(unit,mult(X_74,X_74))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
rd(unit,mult(X_11,X_11)) = ld(X_11,ld(X_11,unit)),
inference(subst,[],[refute_0_548:[bind(X_74,$fot(X_11))]]) ).
cnf(refute_0_550,plain,
( rd(ld(X_11,unit),X_11) != rd(unit,mult(X_11,X_11))
| rd(unit,mult(X_11,X_11)) != ld(X_11,ld(X_11,unit))
| rd(ld(X_11,unit),X_11) = ld(X_11,ld(X_11,unit)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(rd(ld(X_11,unit),X_11),ld(X_11,ld(X_11,unit))) ),[0],$fot(rd(unit,mult(X_11,X_11)))]]) ).
cnf(refute_0_551,plain,
( rd(ld(X_11,unit),X_11) != rd(unit,mult(X_11,X_11))
| rd(ld(X_11,unit),X_11) = ld(X_11,ld(X_11,unit)) ),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_11,X_11)),ld(X_11,ld(X_11,unit))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
rd(ld(X_11,unit),X_11) = ld(X_11,ld(X_11,unit)),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),X_11),rd(unit,mult(X_11,X_11))) )],[refute_0_143,refute_0_551]) ).
cnf(refute_0_553,plain,
( rd(ld(X_11,unit),X_11) != ld(X_11,ld(X_11,unit))
| rd(ld(X_11,unit),X_11) != mult(ld(X_11,unit),ld(X_11,unit))
| ld(X_11,ld(X_11,unit)) = mult(ld(X_11,unit),ld(X_11,unit)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_11,unit),X_11),mult(ld(X_11,unit),ld(X_11,unit))) ),[0],$fot(ld(X_11,ld(X_11,unit)))]]) ).
cnf(refute_0_554,plain,
( rd(ld(X_11,unit),X_11) != mult(ld(X_11,unit),ld(X_11,unit))
| ld(X_11,ld(X_11,unit)) = mult(ld(X_11,unit),ld(X_11,unit)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),X_11),ld(X_11,ld(X_11,unit))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
ld(X_11,ld(X_11,unit)) = mult(ld(X_11,unit),ld(X_11,unit)),
inference(resolve,[$cnf( $equal(rd(ld(X_11,unit),X_11),mult(ld(X_11,unit),ld(X_11,unit))) )],[refute_0_486,refute_0_554]) ).
cnf(refute_0_556,plain,
( ld(X_11,ld(X_11,unit)) != mult(ld(X_11,unit),ld(X_11,unit))
| mult(ld(X_11,unit),ld(X_11,unit)) = ld(X_11,ld(X_11,unit)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_11,ld(X_11,unit)))),bind(Y,$fot(mult(ld(X_11,unit),ld(X_11,unit))))]]) ).
cnf(refute_0_557,plain,
mult(ld(X_11,unit),ld(X_11,unit)) = ld(X_11,ld(X_11,unit)),
inference(resolve,[$cnf( $equal(ld(X_11,ld(X_11,unit)),mult(ld(X_11,unit),ld(X_11,unit))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
mult(ld(X_53,unit),ld(X_53,unit)) = ld(X_53,ld(X_53,unit)),
inference(subst,[],[refute_0_557:[bind(X_11,$fot(X_53))]]) ).
cnf(refute_0_559,plain,
rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) = rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))),
introduced(tautology,[refl,[$fot(rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))))]]) ).
cnf(refute_0_560,plain,
( mult(ld(X_53,unit),ld(X_53,unit)) != ld(X_53,ld(X_53,unit))
| rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) != rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))
| rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) = rd(X_51,ld(X_53,ld(X_53,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))),rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))) ),[1,1],$fot(ld(X_53,ld(X_53,unit)))]]) ).
cnf(refute_0_561,plain,
( mult(ld(X_53,unit),ld(X_53,unit)) != ld(X_53,ld(X_53,unit))
| rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) = rd(X_51,ld(X_53,ld(X_53,unit))) ),
inference(resolve,[$cnf( $equal(rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))),rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) = rd(X_51,ld(X_53,ld(X_53,unit))),
inference(resolve,[$cnf( $equal(mult(ld(X_53,unit),ld(X_53,unit)),ld(X_53,ld(X_53,unit))) )],[refute_0_558,refute_0_561]) ).
cnf(refute_0_563,plain,
( mult(X_51,mult(X_53,X_53)) != rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))
| rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))) != rd(X_51,ld(X_53,ld(X_53,unit)))
| mult(X_51,mult(X_53,X_53)) = rd(X_51,ld(X_53,ld(X_53,unit))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_51,mult(X_53,X_53)),rd(X_51,ld(X_53,ld(X_53,unit)))) ),[0],$fot(rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))))]]) ).
cnf(refute_0_564,plain,
( mult(X_51,mult(X_53,X_53)) != rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))
| mult(X_51,mult(X_53,X_53)) = rd(X_51,ld(X_53,ld(X_53,unit))) ),
inference(resolve,[$cnf( $equal(rd(X_51,mult(ld(X_53,unit),ld(X_53,unit))),rd(X_51,ld(X_53,ld(X_53,unit)))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
( rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)) != rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))
| mult(X_51,mult(X_53,X_53)) = rd(X_51,ld(X_53,ld(X_53,unit))) ),
inference(resolve,[$cnf( $equal(mult(X_51,mult(X_53,X_53)),rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))) )],[refute_0_482,refute_0_564]) ).
cnf(refute_0_566,plain,
mult(X_51,mult(X_53,X_53)) = rd(X_51,ld(X_53,ld(X_53,unit))),
inference(resolve,[$cnf( $equal(rd(mult(X_51,X_53),mult(ld(X_53,unit),unit)),rd(X_51,mult(ld(X_53,unit),ld(X_53,unit)))) )],[refute_0_471,refute_0_565]) ).
cnf(refute_0_567,plain,
( mult(X_51,mult(X_53,X_53)) != rd(X_51,ld(X_53,ld(X_53,unit)))
| rd(X_51,ld(X_53,ld(X_53,unit))) = mult(X_51,mult(X_53,X_53)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(X_51,mult(X_53,X_53)))),bind(Y,$fot(rd(X_51,ld(X_53,ld(X_53,unit)))))]]) ).
cnf(refute_0_568,plain,
rd(X_51,ld(X_53,ld(X_53,unit))) = mult(X_51,mult(X_53,X_53)),
inference(resolve,[$cnf( $equal(mult(X_51,mult(X_53,X_53)),rd(X_51,ld(X_53,ld(X_53,unit)))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
rd(X_51,ld(X_90,ld(X_90,unit))) = mult(X_51,mult(X_90,X_90)),
inference(subst,[],[refute_0_568:[bind(X_53,$fot(X_90))]]) ).
cnf(refute_0_570,plain,
ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) = ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)),
introduced(tautology,[refl,[$fot(ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)))]]) ).
cnf(refute_0_571,plain,
( ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) != ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53))
| rd(X_51,ld(X_90,ld(X_90,unit))) != mult(X_51,mult(X_90,X_90))
| ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) = ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)),ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53))) ),[1,0],$fot(mult(X_51,mult(X_90,X_90)))]]) ).
cnf(refute_0_572,plain,
( rd(X_51,ld(X_90,ld(X_90,unit))) != mult(X_51,mult(X_90,X_90))
| ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) = ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)),ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) = ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)),
inference(resolve,[$cnf( $equal(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,mult(X_90,X_90))) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
( ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) != ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53))
| ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) != mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))
| ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) = mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)),mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))) ),[0],$fot(ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)))]]) ).
cnf(refute_0_575,plain,
( ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) != mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))
| ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) = mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)),ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
mult(ld(X_90,unit),X_53) = ld(X_90,X_53),
inference(subst,[],[refute_0_357:[bind(B,$fot(X_53)),bind(X_88,$fot(X_90))]]) ).
cnf(refute_0_577,plain,
ld(X_90,mult(ld(X_90,unit),X_53)) = ld(X_90,mult(ld(X_90,unit),X_53)),
introduced(tautology,[refl,[$fot(ld(X_90,mult(ld(X_90,unit),X_53)))]]) ).
cnf(refute_0_578,plain,
( ld(X_90,mult(ld(X_90,unit),X_53)) != ld(X_90,mult(ld(X_90,unit),X_53))
| mult(ld(X_90,unit),X_53) != ld(X_90,X_53)
| ld(X_90,mult(ld(X_90,unit),X_53)) = ld(X_90,ld(X_90,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_90,mult(ld(X_90,unit),X_53)),ld(X_90,mult(ld(X_90,unit),X_53))) ),[1,1],$fot(ld(X_90,X_53))]]) ).
cnf(refute_0_579,plain,
( mult(ld(X_90,unit),X_53) != ld(X_90,X_53)
| ld(X_90,mult(ld(X_90,unit),X_53)) = ld(X_90,ld(X_90,X_53)) ),
inference(resolve,[$cnf( $equal(ld(X_90,mult(ld(X_90,unit),X_53)),ld(X_90,mult(ld(X_90,unit),X_53))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
ld(X_90,mult(ld(X_90,unit),X_53)) = ld(X_90,ld(X_90,X_53)),
inference(resolve,[$cnf( $equal(mult(ld(X_90,unit),X_53),ld(X_90,X_53)) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) = ld(X_90,mult(ld(X_90,unit),X_53)),
inference(subst,[],[refute_0_357:[bind(B,$fot(mult(ld(X_90,unit),X_53))),bind(X_88,$fot(X_90))]]) ).
cnf(refute_0_582,plain,
( ld(X_90,mult(ld(X_90,unit),X_53)) != ld(X_90,ld(X_90,X_53))
| mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) != ld(X_90,mult(ld(X_90,unit),X_53))
| mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) = ld(X_90,ld(X_90,X_53)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)))),bind(Y,$fot(ld(X_90,mult(ld(X_90,unit),X_53)))),bind(Z,$fot(ld(X_90,ld(X_90,X_53))))]]) ).
cnf(refute_0_583,plain,
( ld(X_90,mult(ld(X_90,unit),X_53)) != ld(X_90,ld(X_90,X_53))
| mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) = ld(X_90,ld(X_90,X_53)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)),ld(X_90,mult(ld(X_90,unit),X_53))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) = ld(X_90,ld(X_90,X_53)),
inference(resolve,[$cnf( $equal(ld(X_90,mult(ld(X_90,unit),X_53)),ld(X_90,ld(X_90,X_53))) )],[refute_0_580,refute_0_583]) ).
cnf(refute_0_585,plain,
( ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) != mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))
| mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)) != ld(X_90,ld(X_90,X_53))
| ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) = ld(X_90,ld(X_90,X_53)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)),ld(X_90,ld(X_90,X_53))) ),[0],$fot(mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)))]]) ).
cnf(refute_0_586,plain,
( ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) != mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))
| ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) = ld(X_90,ld(X_90,X_53)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_90,unit),mult(ld(X_90,unit),X_53)),ld(X_90,ld(X_90,X_53))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
( ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)) != mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))
| ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) = ld(X_90,ld(X_90,X_53)) ),
inference(resolve,[$cnf( $equal(ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)),mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))) )],[refute_0_575,refute_0_586]) ).
cnf(refute_0_588,plain,
ld(mult(X_51,mult(X_90,X_90)),mult(X_51,X_53)) = ld(X_90,ld(X_90,X_53)),
inference(resolve,[$cnf( $equal(ld(rd(X_51,ld(X_90,ld(X_90,unit))),mult(X_51,X_53)),mult(ld(X_90,unit),mult(ld(X_90,unit),X_53))) )],[refute_0_467,refute_0_587]) ).
cnf(refute_0_589,plain,
ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)) = ld(X_148,ld(X_148,X_149)),
inference(subst,[],[refute_0_588:[bind(X_51,$fot(X_149)),bind(X_53,$fot(X_149)),bind(X_90,$fot(X_148))]]) ).
cnf(refute_0_590,plain,
( ld(ld(X_149,mult(X_148,X_148)),unit) != ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149))
| ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)) != ld(X_148,ld(X_148,X_149))
| ld(ld(X_149,mult(X_148,X_148)),unit) = ld(X_148,ld(X_148,X_149)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_149,mult(X_148,X_148)),unit),ld(X_148,ld(X_148,X_149))) ),[0],$fot(ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)))]]) ).
cnf(refute_0_591,plain,
( ld(ld(X_149,mult(X_148,X_148)),unit) != ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149))
| ld(ld(X_149,mult(X_148,X_148)),unit) = ld(X_148,ld(X_148,X_149)) ),
inference(resolve,[$cnf( $equal(ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149)),ld(X_148,ld(X_148,X_149))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
( rd(ld(X_148,unit),ld(X_149,X_148)) != ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149))
| ld(ld(X_149,mult(X_148,X_148)),unit) = ld(X_148,ld(X_148,X_149)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_149,mult(X_148,X_148)),unit),ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149))) )],[refute_0_460,refute_0_591]) ).
cnf(refute_0_593,plain,
ld(ld(X_149,mult(X_148,X_148)),unit) = ld(X_148,ld(X_148,X_149)),
inference(resolve,[$cnf( $equal(rd(ld(X_148,unit),ld(X_149,X_148)),ld(mult(X_149,mult(X_148,X_148)),mult(X_149,X_149))) )],[refute_0_452,refute_0_592]) ).
cnf(refute_0_594,plain,
ld(ld(rd(X_150,mult(X_52,X_52)),mult(X_150,X_150)),unit) = ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))),
inference(subst,[],[refute_0_593:[bind(X_148,$fot(X_150)),bind(X_149,$fot(rd(X_150,mult(X_52,X_52))))]]) ).
cnf(refute_0_595,plain,
ld(rd(X_150,mult(X_52,X_52)),mult(X_150,X_150)) = mult(X_52,mult(X_52,X_150)),
inference(subst,[],[refute_0_45:[bind(X_51,$fot(X_150)),bind(X_53,$fot(X_150))]]) ).
cnf(refute_0_596,plain,
( ld(ld(rd(X_150,mult(X_52,X_52)),mult(X_150,X_150)),unit) != ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))
| ld(rd(X_150,mult(X_52,X_52)),mult(X_150,X_150)) != mult(X_52,mult(X_52,X_150))
| ld(mult(X_52,mult(X_52,X_150)),unit) = ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(rd(X_150,mult(X_52,X_52)),mult(X_150,X_150)),unit),ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))) ),[0,0],$fot(mult(X_52,mult(X_52,X_150)))]]) ).
cnf(refute_0_597,plain,
( ld(ld(rd(X_150,mult(X_52,X_52)),mult(X_150,X_150)),unit) != ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))
| ld(mult(X_52,mult(X_52,X_150)),unit) = ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_150,mult(X_52,X_52)),mult(X_150,X_150)),mult(X_52,mult(X_52,X_150))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
ld(mult(X_52,mult(X_52,X_150)),unit) = ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))),
inference(resolve,[$cnf( $equal(ld(ld(rd(X_150,mult(X_52,X_52)),mult(X_150,X_150)),unit),ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))) )],[refute_0_594,refute_0_597]) ).
cnf(refute_0_599,plain,
ld(A,mult(A,ld(X_118,rd(X_118,mult(A,A))))) = ld(X_118,rd(X_118,mult(A,A))),
inference(subst,[],[c02:[bind(B,$fot(ld(X_118,rd(X_118,mult(A,A)))))]]) ).
cnf(refute_0_600,plain,
mult(rd(X_117,mult(X_116,X_116)),ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit))) = ld(X_117,unit),
inference(subst,[],[c01:[bind(A,$fot(rd(X_117,mult(X_116,X_116)))),bind(B,$fot(ld(X_117,unit)))]]) ).
cnf(refute_0_601,plain,
rd(mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))),X_45) = mult(mult(X_19,X_19),mult(X_47,X_47)),
inference(subst,[],[refute_0_338:[bind(B,$fot(X_45)),bind(X_18,$fot(mult(X_19,X_19))),bind(X_19,$fot(X_47))]]) ).
cnf(refute_0_602,plain,
mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))) = mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))),
inference(subst,[],[refute_0_8:[bind(X_20,$fot(mult(X_47,mult(X_47,X_45))))]]) ).
cnf(refute_0_603,plain,
( mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))) != mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45)))
| mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))) = mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))))),bind(Y,$fot(mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45)))))]]) ).
cnf(refute_0_604,plain,
mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))) = mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),
inference(resolve,[$cnf( $equal(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45)))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
( mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))) != mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45))))
| rd(mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))),X_45) != mult(mult(X_19,X_19),mult(X_47,X_47))
| rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45) = mult(mult(X_19,X_19),mult(X_47,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))),X_45),mult(mult(X_19,X_19),mult(X_47,X_47))) ),[0,0],$fot(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))))]]) ).
cnf(refute_0_606,plain,
( rd(mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))),X_45) != mult(mult(X_19,X_19),mult(X_47,X_47))
| rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45) = mult(mult(X_19,X_19),mult(X_47,X_47)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))),mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45))))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45) = mult(mult(X_19,X_19),mult(X_47,X_47)),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_19,X_19),mult(X_47,mult(X_47,X_45))),X_45),mult(mult(X_19,X_19),mult(X_47,X_47))) )],[refute_0_601,refute_0_606]) ).
cnf(refute_0_608,plain,
mult(mult(X_19,X_19),mult(X_47,X_47)) = mult(X_19,mult(X_19,mult(X_47,X_47))),
inference(subst,[],[refute_0_13:[bind(X_20,$fot(mult(X_47,X_47)))]]) ).
cnf(refute_0_609,plain,
( mult(mult(X_19,X_19),mult(X_47,X_47)) != mult(X_19,mult(X_19,mult(X_47,X_47)))
| rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45) != mult(mult(X_19,X_19),mult(X_47,X_47))
| rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45) = mult(X_19,mult(X_19,mult(X_47,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45),mult(mult(X_19,X_19),mult(X_47,X_47))) ),[1],$fot(mult(X_19,mult(X_19,mult(X_47,X_47))))]]) ).
cnf(refute_0_610,plain,
( rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45) != mult(mult(X_19,X_19),mult(X_47,X_47))
| rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45) = mult(X_19,mult(X_19,mult(X_47,X_47))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_19,X_19),mult(X_47,X_47)),mult(X_19,mult(X_19,mult(X_47,X_47)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45) = mult(X_19,mult(X_19,mult(X_47,X_47))),
inference(resolve,[$cnf( $equal(rd(mult(X_19,mult(X_19,mult(X_47,mult(X_47,X_45)))),X_45),mult(mult(X_19,X_19),mult(X_47,X_47))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) = mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))),
inference(subst,[],[refute_0_611:[bind(X_19,$fot(X_113)),bind(X_45,$fot(X_114)),bind(X_47,$fot(ld(X_88,unit)))]]) ).
cnf(refute_0_613,plain,
ld(X_88,ld(X_88,unit)) = mult(ld(X_88,unit),ld(X_88,unit)),
inference(subst,[],[refute_0_285:[bind(B,$fot(ld(X_88,unit)))]]) ).
cnf(refute_0_614,plain,
( ld(X_88,ld(X_88,unit)) != mult(ld(X_88,unit),ld(X_88,unit))
| mult(ld(X_88,unit),ld(X_88,unit)) = ld(X_88,ld(X_88,unit)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_88,ld(X_88,unit)))),bind(Y,$fot(mult(ld(X_88,unit),ld(X_88,unit))))]]) ).
cnf(refute_0_615,plain,
mult(ld(X_88,unit),ld(X_88,unit)) = ld(X_88,ld(X_88,unit)),
inference(resolve,[$cnf( $equal(ld(X_88,ld(X_88,unit)),mult(ld(X_88,unit),ld(X_88,unit))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
( mult(ld(X_88,unit),ld(X_88,unit)) != ld(X_88,ld(X_88,unit))
| rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) != mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))
| rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) = mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114),mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))) ),[1,1,1],$fot(ld(X_88,ld(X_88,unit)))]]) ).
cnf(refute_0_617,plain,
( rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) != mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))
| rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) = mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit)))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_88,unit),ld(X_88,unit)),ld(X_88,ld(X_88,unit))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) = mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit)))),
inference(resolve,[$cnf( $equal(rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114),mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))) )],[refute_0_612,refute_0_617]) ).
cnf(refute_0_619,plain,
( rd(X_91,A) != ld(rd(A,X_91),unit)
| ld(rd(A,X_91),unit) = rd(X_91,A) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(X_91,A))),bind(Y,$fot(ld(rd(A,X_91),unit)))]]) ).
cnf(refute_0_620,plain,
ld(rd(A,X_91),unit) = rd(X_91,A),
inference(resolve,[$cnf( $equal(rd(X_91,A),ld(rd(A,X_91),unit)) )],[refute_0_296,refute_0_619]) ).
cnf(refute_0_621,plain,
ld(rd(mult(X_88,X_88),X_113),unit) = rd(X_113,mult(X_88,X_88)),
inference(subst,[],[refute_0_620:[bind(A,$fot(mult(X_88,X_88))),bind(X_91,$fot(X_113))]]) ).
cnf(refute_0_622,plain,
mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) = mult(mult(A,mult(rd(unit,X_38),rd(unit,X_38))),C),
inference(subst,[],[c07:[bind(B,$fot(rd(unit,X_38)))]]) ).
cnf(refute_0_623,plain,
rd(rd(unit,X_38),X_38) = mult(rd(unit,X_38),rd(unit,X_38)),
inference(subst,[],[refute_0_94:[bind(B,$fot(X_38))]]) ).
cnf(refute_0_624,plain,
( rd(rd(unit,X_38),X_38) != mult(rd(unit,X_38),rd(unit,X_38))
| mult(rd(unit,X_38),rd(unit,X_38)) = rd(rd(unit,X_38),X_38) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(rd(unit,X_38),X_38))),bind(Y,$fot(mult(rd(unit,X_38),rd(unit,X_38))))]]) ).
cnf(refute_0_625,plain,
mult(rd(unit,X_38),rd(unit,X_38)) = rd(rd(unit,X_38),X_38),
inference(resolve,[$cnf( $equal(rd(rd(unit,X_38),X_38),mult(rd(unit,X_38),rd(unit,X_38))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
( mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) != mult(mult(A,mult(rd(unit,X_38),rd(unit,X_38))),C)
| mult(rd(unit,X_38),rd(unit,X_38)) != rd(rd(unit,X_38),X_38)
| mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) = mult(mult(A,rd(rd(unit,X_38),X_38)),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))),mult(mult(A,mult(rd(unit,X_38),rd(unit,X_38))),C)) ),[1,0,1],$fot(rd(rd(unit,X_38),X_38))]]) ).
cnf(refute_0_627,plain,
( mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) != mult(mult(A,mult(rd(unit,X_38),rd(unit,X_38))),C)
| mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) = mult(mult(A,rd(rd(unit,X_38),X_38)),C) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),rd(unit,X_38)),rd(rd(unit,X_38),X_38)) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) = mult(mult(A,rd(rd(unit,X_38),X_38)),C),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))),mult(mult(A,mult(rd(unit,X_38),rd(unit,X_38))),C)) )],[refute_0_622,refute_0_627]) ).
cnf(refute_0_629,plain,
mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(mult(rd(unit,X_38),rd(unit,X_38)),X_20),
inference(subst,[],[refute_0_8:[bind(X_19,$fot(rd(unit,X_38)))]]) ).
cnf(refute_0_630,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(mult(rd(unit,X_38),rd(unit,X_38)),X_20)
| mult(rd(unit,X_38),rd(unit,X_38)) != rd(rd(unit,X_38),X_38)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(rd(rd(unit,X_38),X_38),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(mult(rd(unit,X_38),rd(unit,X_38)),X_20)) ),[1,0],$fot(rd(rd(unit,X_38),X_38))]]) ).
cnf(refute_0_631,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(mult(rd(unit,X_38),rd(unit,X_38)),X_20)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(rd(rd(unit,X_38),X_38),X_20) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),rd(unit,X_38)),rd(rd(unit,X_38),X_38)) )],[refute_0_625,refute_0_630]) ).
cnf(refute_0_632,plain,
mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(rd(rd(unit,X_38),X_38),X_20),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(mult(rd(unit,X_38),rd(unit,X_38)),X_20)) )],[refute_0_629,refute_0_631]) ).
cnf(refute_0_633,plain,
mult(rd(unit,X_38),mult(rd(unit,X_38),C)) = mult(rd(rd(unit,X_38),X_38),C),
inference(subst,[],[refute_0_632:[bind(X_20,$fot(C))]]) ).
cnf(refute_0_634,plain,
mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) = mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))),
introduced(tautology,[refl,[$fot(mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))))]]) ).
cnf(refute_0_635,plain,
( mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) != mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C)))
| mult(rd(unit,X_38),mult(rd(unit,X_38),C)) != mult(rd(rd(unit,X_38),X_38),C)
| mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) = mult(A,mult(rd(rd(unit,X_38),X_38),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))),mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C)))) ),[1,1],$fot(mult(rd(rd(unit,X_38),X_38),C))]]) ).
cnf(refute_0_636,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),C)) != mult(rd(rd(unit,X_38),X_38),C)
| mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) = mult(A,mult(rd(rd(unit,X_38),X_38),C)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))),mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C)))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) = mult(A,mult(rd(rd(unit,X_38),X_38),C)),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),C)),mult(rd(rd(unit,X_38),X_38),C)) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
( mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) != mult(A,mult(rd(rd(unit,X_38),X_38),C))
| mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) != mult(mult(A,rd(rd(unit,X_38),X_38)),C)
| mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(mult(A,rd(rd(unit,X_38),X_38)),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))),mult(mult(A,rd(rd(unit,X_38),X_38)),C)) ),[0],$fot(mult(A,mult(rd(rd(unit,X_38),X_38),C)))]]) ).
cnf(refute_0_639,plain,
( mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))) != mult(mult(A,rd(rd(unit,X_38),X_38)),C)
| mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(mult(A,rd(rd(unit,X_38),X_38)),C) ),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))),mult(A,mult(rd(rd(unit,X_38),X_38),C))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(mult(A,rd(rd(unit,X_38),X_38)),C),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(unit,X_38),mult(rd(unit,X_38),C))),mult(mult(A,rd(rd(unit,X_38),X_38)),C)) )],[refute_0_628,refute_0_639]) ).
cnf(refute_0_641,plain,
rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),ld(rd(X_76,mult(X_76,X_76)),unit)) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),
inference(subst,[],[refute_0_343:[bind(B,$fot(unit)),bind(X_47,$fot(rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_642,plain,
( ld(rd(X_76,mult(X_76,X_76)),unit) != X_76
| rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),ld(rd(X_76,mult(X_76,X_76)),unit)) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),ld(rd(X_76,mult(X_76,X_76)),unit)),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) ),[0,1],$fot(X_76)]]) ).
cnf(refute_0_643,plain,
( rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),ld(rd(X_76,mult(X_76,X_76)),unit)) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_76,mult(X_76,X_76)),unit),X_76) )],[refute_0_163,refute_0_642]) ).
cnf(refute_0_644,plain,
rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),ld(rd(X_76,mult(X_76,X_76)),unit)),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) )],[refute_0_641,refute_0_643]) ).
cnf(refute_0_645,plain,
mult(rd(X_76,mult(X_76,X_76)),unit) = rd(X_76,mult(X_76,X_76)),
inference(subst,[],[c05:[bind(A,$fot(rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_646,plain,
mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),
introduced(tautology,[refl,[$fot(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)))]]) ).
cnf(refute_0_647,plain,
( mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit))
| mult(rd(X_76,mult(X_76,X_76)),unit) != rd(X_76,mult(X_76,X_76))
| mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)) = mult(X_46,rd(X_76,mult(X_76,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit))) ),[1,1],$fot(rd(X_76,mult(X_76,X_76)))]]) ).
cnf(refute_0_648,plain,
( mult(rd(X_76,mult(X_76,X_76)),unit) != rd(X_76,mult(X_76,X_76))
| mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)) = mult(X_46,rd(X_76,mult(X_76,X_76))) ),
inference(resolve,[$cnf( $equal(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)) = mult(X_46,rd(X_76,mult(X_76,X_76))),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),unit),rd(X_76,mult(X_76,X_76))) )],[refute_0_645,refute_0_648]) ).
cnf(refute_0_650,plain,
rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) = rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76),
introduced(tautology,[refl,[$fot(rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76))]]) ).
cnf(refute_0_651,plain,
( mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)) != mult(X_46,rd(X_76,mult(X_76,X_76)))
| rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) != rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76)
| rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) = rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76),rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76)) ),[1,0],$fot(mult(X_46,rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_652,plain,
( mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)) != mult(X_46,rd(X_76,mult(X_76,X_76)))
| rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) = rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76),rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76)) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) = rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76),
inference(resolve,[$cnf( $equal(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),mult(X_46,rd(X_76,mult(X_76,X_76)))) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
( rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) != rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76)
| rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) ),[0],$fot(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76))]]) ).
cnf(refute_0_655,plain,
( rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76),rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76)) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),unit)),X_76),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) )],[refute_0_644,refute_0_655]) ).
cnf(refute_0_657,plain,
rd(mult(X_67,rd(unit,B)),ld(rd(unit,B),unit)) = mult(X_67,mult(rd(unit,B),rd(unit,B))),
inference(subst,[],[refute_0_348:[bind(X_65,$fot(X_67)),bind(X_66,$fot(rd(unit,B)))]]) ).
cnf(refute_0_658,plain,
( ld(rd(unit,B),unit) != B
| rd(mult(X_67,rd(unit,B)),ld(rd(unit,B),unit)) != mult(X_67,mult(rd(unit,B),rd(unit,B)))
| rd(mult(X_67,rd(unit,B)),B) = mult(X_67,mult(rd(unit,B),rd(unit,B))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_67,rd(unit,B)),ld(rd(unit,B),unit)),mult(X_67,mult(rd(unit,B),rd(unit,B)))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_659,plain,
( rd(mult(X_67,rd(unit,B)),ld(rd(unit,B),unit)) != mult(X_67,mult(rd(unit,B),rd(unit,B)))
| rd(mult(X_67,rd(unit,B)),B) = mult(X_67,mult(rd(unit,B),rd(unit,B))) ),
inference(resolve,[$cnf( $equal(ld(rd(unit,B),unit),B) )],[refute_0_91,refute_0_658]) ).
cnf(refute_0_660,plain,
rd(mult(X_67,rd(unit,B)),B) = mult(X_67,mult(rd(unit,B),rd(unit,B))),
inference(resolve,[$cnf( $equal(rd(mult(X_67,rd(unit,B)),ld(rd(unit,B),unit)),mult(X_67,mult(rd(unit,B),rd(unit,B)))) )],[refute_0_657,refute_0_659]) ).
cnf(refute_0_661,plain,
mult(X_67,mult(rd(unit,B),rd(unit,B))) = mult(X_67,mult(rd(unit,B),rd(unit,B))),
introduced(tautology,[refl,[$fot(mult(X_67,mult(rd(unit,B),rd(unit,B))))]]) ).
cnf(refute_0_662,plain,
( mult(X_67,mult(rd(unit,B),rd(unit,B))) != mult(X_67,mult(rd(unit,B),rd(unit,B)))
| mult(rd(unit,B),rd(unit,B)) != rd(rd(unit,B),B)
| mult(X_67,mult(rd(unit,B),rd(unit,B))) = mult(X_67,rd(rd(unit,B),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_67,mult(rd(unit,B),rd(unit,B))),mult(X_67,mult(rd(unit,B),rd(unit,B)))) ),[1,1],$fot(rd(rd(unit,B),B))]]) ).
cnf(refute_0_663,plain,
( mult(rd(unit,B),rd(unit,B)) != rd(rd(unit,B),B)
| mult(X_67,mult(rd(unit,B),rd(unit,B))) = mult(X_67,rd(rd(unit,B),B)) ),
inference(resolve,[$cnf( $equal(mult(X_67,mult(rd(unit,B),rd(unit,B))),mult(X_67,mult(rd(unit,B),rd(unit,B)))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
mult(X_67,mult(rd(unit,B),rd(unit,B))) = mult(X_67,rd(rd(unit,B),B)),
inference(resolve,[$cnf( $equal(mult(rd(unit,B),rd(unit,B)),rd(rd(unit,B),B)) )],[refute_0_96,refute_0_663]) ).
cnf(refute_0_665,plain,
( mult(X_67,mult(rd(unit,B),rd(unit,B))) != mult(X_67,rd(rd(unit,B),B))
| rd(mult(X_67,rd(unit,B)),B) != mult(X_67,mult(rd(unit,B),rd(unit,B)))
| rd(mult(X_67,rd(unit,B)),B) = mult(X_67,rd(rd(unit,B),B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_67,rd(unit,B)),B),mult(X_67,mult(rd(unit,B),rd(unit,B)))) ),[1],$fot(mult(X_67,rd(rd(unit,B),B)))]]) ).
cnf(refute_0_666,plain,
( rd(mult(X_67,rd(unit,B)),B) != mult(X_67,mult(rd(unit,B),rd(unit,B)))
| rd(mult(X_67,rd(unit,B)),B) = mult(X_67,rd(rd(unit,B),B)) ),
inference(resolve,[$cnf( $equal(mult(X_67,mult(rd(unit,B),rd(unit,B))),mult(X_67,rd(rd(unit,B),B))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
rd(mult(X_67,rd(unit,B)),B) = mult(X_67,rd(rd(unit,B),B)),
inference(resolve,[$cnf( $equal(rd(mult(X_67,rd(unit,B)),B),mult(X_67,mult(rd(unit,B),rd(unit,B)))) )],[refute_0_660,refute_0_666]) ).
cnf(refute_0_668,plain,
rd(mult(X_46,rd(unit,X_76)),X_76) = mult(X_46,rd(rd(unit,X_76),X_76)),
inference(subst,[],[refute_0_667:[bind(B,$fot(X_76)),bind(X_67,$fot(X_46))]]) ).
cnf(refute_0_669,plain,
mult(X_46,rd(X_76,mult(X_76,X_76))) = mult(X_46,rd(X_76,mult(X_76,X_76))),
introduced(tautology,[refl,[$fot(mult(X_46,rd(X_76,mult(X_76,X_76))))]]) ).
cnf(refute_0_670,plain,
( mult(X_46,rd(X_76,mult(X_76,X_76))) != mult(X_46,rd(X_76,mult(X_76,X_76)))
| rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| mult(X_46,rd(X_76,mult(X_76,X_76))) = mult(X_46,rd(unit,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_46,rd(X_76,mult(X_76,X_76))),mult(X_46,rd(X_76,mult(X_76,X_76)))) ),[1,1],$fot(rd(unit,X_76))]]) ).
cnf(refute_0_671,plain,
( rd(X_76,mult(X_76,X_76)) != rd(unit,X_76)
| mult(X_46,rd(X_76,mult(X_76,X_76))) = mult(X_46,rd(unit,X_76)) ),
inference(resolve,[$cnf( $equal(mult(X_46,rd(X_76,mult(X_76,X_76))),mult(X_46,rd(X_76,mult(X_76,X_76)))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
mult(X_46,rd(X_76,mult(X_76,X_76))) = mult(X_46,rd(unit,X_76)),
inference(resolve,[$cnf( $equal(rd(X_76,mult(X_76,X_76)),rd(unit,X_76)) )],[refute_0_173,refute_0_671]) ).
cnf(refute_0_673,plain,
rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76),
introduced(tautology,[refl,[$fot(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76))]]) ).
cnf(refute_0_674,plain,
( mult(X_46,rd(X_76,mult(X_76,X_76))) != mult(X_46,rd(unit,X_76))
| rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) != rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76)
| rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = rd(mult(X_46,rd(unit,X_76)),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76),rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76)) ),[1,0],$fot(mult(X_46,rd(unit,X_76)))]]) ).
cnf(refute_0_675,plain,
( mult(X_46,rd(X_76,mult(X_76,X_76))) != mult(X_46,rd(unit,X_76))
| rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = rd(mult(X_46,rd(unit,X_76)),X_76) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76),rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76)) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = rd(mult(X_46,rd(unit,X_76)),X_76),
inference(resolve,[$cnf( $equal(mult(X_46,rd(X_76,mult(X_76,X_76))),mult(X_46,rd(unit,X_76))) )],[refute_0_672,refute_0_675]) ).
cnf(refute_0_677,plain,
( rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) != rd(mult(X_46,rd(unit,X_76)),X_76)
| rd(mult(X_46,rd(unit,X_76)),X_76) != mult(X_46,rd(rd(unit,X_76),X_76))
| rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = mult(X_46,rd(rd(unit,X_76),X_76)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76))),bind(Y,$fot(rd(mult(X_46,rd(unit,X_76)),X_76))),bind(Z,$fot(mult(X_46,rd(rd(unit,X_76),X_76))))]]) ).
cnf(refute_0_678,plain,
( rd(mult(X_46,rd(unit,X_76)),X_76) != mult(X_46,rd(rd(unit,X_76),X_76))
| rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = mult(X_46,rd(rd(unit,X_76),X_76)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76),rd(mult(X_46,rd(unit,X_76)),X_76)) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) = mult(X_46,rd(rd(unit,X_76),X_76)),
inference(resolve,[$cnf( $equal(rd(mult(X_46,rd(unit,X_76)),X_76),mult(X_46,rd(rd(unit,X_76),X_76))) )],[refute_0_668,refute_0_678]) ).
cnf(refute_0_680,plain,
( rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) != mult(X_46,rd(rd(unit,X_76),X_76))
| mult(X_46,rd(rd(unit,X_76),X_76)) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) ),[0],$fot(mult(X_46,rd(rd(unit,X_76),X_76)))]]) ).
cnf(refute_0_681,plain,
( rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| mult(X_46,rd(rd(unit,X_76),X_76)) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76),mult(X_46,rd(rd(unit,X_76),X_76))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
( rd(unit,mult(X_76,X_76)) != mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))
| mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = rd(unit,mult(X_76,X_76)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(unit,mult(X_76,X_76)))),bind(Y,$fot(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))))]]) ).
cnf(refute_0_683,plain,
mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) = rd(unit,mult(X_76,X_76)),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_76,X_76)),mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) )],[refute_0_521,refute_0_682]) ).
cnf(refute_0_684,plain,
mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) = mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),
introduced(tautology,[refl,[$fot(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))))]]) ).
cnf(refute_0_685,plain,
( mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) != rd(unit,mult(X_76,X_76))
| mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) = mult(X_46,rd(unit,mult(X_76,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) ),[1,1],$fot(rd(unit,mult(X_76,X_76)))]]) ).
cnf(refute_0_686,plain,
( mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))) != rd(unit,mult(X_76,X_76))
| mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) = mult(X_46,rd(unit,mult(X_76,X_76))) ),
inference(resolve,[$cnf( $equal(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) = mult(X_46,rd(unit,mult(X_76,X_76))),
inference(resolve,[$cnf( $equal(mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))),rd(unit,mult(X_76,X_76))) )],[refute_0_683,refute_0_686]) ).
cnf(refute_0_688,plain,
( mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))) != mult(X_46,rd(unit,mult(X_76,X_76)))
| mult(X_46,rd(rd(unit,X_76),X_76)) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| mult(X_46,rd(rd(unit,X_76),X_76)) = mult(X_46,rd(unit,mult(X_76,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_46,rd(rd(unit,X_76),X_76)),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) ),[1],$fot(mult(X_46,rd(unit,mult(X_76,X_76))))]]) ).
cnf(refute_0_689,plain,
( mult(X_46,rd(rd(unit,X_76),X_76)) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| mult(X_46,rd(rd(unit,X_76),X_76)) = mult(X_46,rd(unit,mult(X_76,X_76))) ),
inference(resolve,[$cnf( $equal(mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76)))),mult(X_46,rd(unit,mult(X_76,X_76)))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
( rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76) != mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))
| mult(X_46,rd(rd(unit,X_76),X_76)) = mult(X_46,rd(unit,mult(X_76,X_76))) ),
inference(resolve,[$cnf( $equal(mult(X_46,rd(rd(unit,X_76),X_76)),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) )],[refute_0_681,refute_0_689]) ).
cnf(refute_0_691,plain,
mult(X_46,rd(rd(unit,X_76),X_76)) = mult(X_46,rd(unit,mult(X_76,X_76))),
inference(resolve,[$cnf( $equal(rd(mult(X_46,rd(X_76,mult(X_76,X_76))),X_76),mult(X_46,mult(rd(X_76,mult(X_76,X_76)),rd(X_76,mult(X_76,X_76))))) )],[refute_0_656,refute_0_690]) ).
cnf(refute_0_692,plain,
mult(A,rd(rd(unit,X_38),X_38)) = mult(A,rd(unit,mult(X_38,X_38))),
inference(subst,[],[refute_0_691:[bind(X_46,$fot(A)),bind(X_76,$fot(X_38))]]) ).
cnf(refute_0_693,plain,
mult(mult(A,rd(rd(unit,X_38),X_38)),C) = mult(mult(A,rd(rd(unit,X_38),X_38)),C),
introduced(tautology,[refl,[$fot(mult(mult(A,rd(rd(unit,X_38),X_38)),C))]]) ).
cnf(refute_0_694,plain,
( mult(A,rd(rd(unit,X_38),X_38)) != mult(A,rd(unit,mult(X_38,X_38)))
| mult(mult(A,rd(rd(unit,X_38),X_38)),C) != mult(mult(A,rd(rd(unit,X_38),X_38)),C)
| mult(mult(A,rd(rd(unit,X_38),X_38)),C) = mult(mult(A,rd(unit,mult(X_38,X_38))),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,rd(rd(unit,X_38),X_38)),C),mult(mult(A,rd(rd(unit,X_38),X_38)),C)) ),[1,0],$fot(mult(A,rd(unit,mult(X_38,X_38))))]]) ).
cnf(refute_0_695,plain,
( mult(A,rd(rd(unit,X_38),X_38)) != mult(A,rd(unit,mult(X_38,X_38)))
| mult(mult(A,rd(rd(unit,X_38),X_38)),C) = mult(mult(A,rd(unit,mult(X_38,X_38))),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,rd(rd(unit,X_38),X_38)),C),mult(mult(A,rd(rd(unit,X_38),X_38)),C)) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
mult(mult(A,rd(rd(unit,X_38),X_38)),C) = mult(mult(A,rd(unit,mult(X_38,X_38))),C),
inference(resolve,[$cnf( $equal(mult(A,rd(rd(unit,X_38),X_38)),mult(A,rd(unit,mult(X_38,X_38)))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
( mult(A,mult(rd(rd(unit,X_38),X_38),C)) != mult(mult(A,rd(rd(unit,X_38),X_38)),C)
| mult(mult(A,rd(rd(unit,X_38),X_38)),C) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(mult(A,rd(unit,mult(X_38,X_38))),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,mult(rd(rd(unit,X_38),X_38),C)),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) ),[0],$fot(mult(mult(A,rd(rd(unit,X_38),X_38)),C))]]) ).
cnf(refute_0_698,plain,
( mult(A,mult(rd(rd(unit,X_38),X_38),C)) != mult(mult(A,rd(rd(unit,X_38),X_38)),C)
| mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(mult(A,rd(unit,mult(X_38,X_38))),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,rd(rd(unit,X_38),X_38)),C),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(mult(A,rd(unit,mult(X_38,X_38))),C),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(rd(unit,X_38),X_38),C)),mult(mult(A,rd(rd(unit,X_38),X_38)),C)) )],[refute_0_640,refute_0_698]) ).
cnf(refute_0_700,plain,
rd(rd(unit,X_38),X_38) = rd(unit,mult(X_38,X_38)),
inference(subst,[],[refute_0_541:[bind(X_76,$fot(X_38))]]) ).
cnf(refute_0_701,plain,
mult(rd(rd(unit,X_38),X_38),C) = mult(rd(rd(unit,X_38),X_38),C),
introduced(tautology,[refl,[$fot(mult(rd(rd(unit,X_38),X_38),C))]]) ).
cnf(refute_0_702,plain,
( mult(rd(rd(unit,X_38),X_38),C) != mult(rd(rd(unit,X_38),X_38),C)
| rd(rd(unit,X_38),X_38) != rd(unit,mult(X_38,X_38))
| mult(rd(rd(unit,X_38),X_38),C) = mult(rd(unit,mult(X_38,X_38)),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(unit,X_38),X_38),C),mult(rd(rd(unit,X_38),X_38),C)) ),[1,0],$fot(rd(unit,mult(X_38,X_38)))]]) ).
cnf(refute_0_703,plain,
( rd(rd(unit,X_38),X_38) != rd(unit,mult(X_38,X_38))
| mult(rd(rd(unit,X_38),X_38),C) = mult(rd(unit,mult(X_38,X_38)),C) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(unit,X_38),X_38),C),mult(rd(rd(unit,X_38),X_38),C)) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
mult(rd(rd(unit,X_38),X_38),C) = mult(rd(unit,mult(X_38,X_38)),C),
inference(resolve,[$cnf( $equal(rd(rd(unit,X_38),X_38),rd(unit,mult(X_38,X_38))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(A,mult(rd(rd(unit,X_38),X_38),C)),
introduced(tautology,[refl,[$fot(mult(A,mult(rd(rd(unit,X_38),X_38),C)))]]) ).
cnf(refute_0_706,plain,
( mult(A,mult(rd(rd(unit,X_38),X_38),C)) != mult(A,mult(rd(rd(unit,X_38),X_38),C))
| mult(rd(rd(unit,X_38),X_38),C) != mult(rd(unit,mult(X_38,X_38)),C)
| mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(A,mult(rd(unit,mult(X_38,X_38)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(rd(rd(unit,X_38),X_38),C)),mult(A,mult(rd(rd(unit,X_38),X_38),C))) ),[1,1],$fot(mult(rd(unit,mult(X_38,X_38)),C))]]) ).
cnf(refute_0_707,plain,
( mult(rd(rd(unit,X_38),X_38),C) != mult(rd(unit,mult(X_38,X_38)),C)
| mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(A,mult(rd(unit,mult(X_38,X_38)),C)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(rd(unit,X_38),X_38),C)),mult(A,mult(rd(rd(unit,X_38),X_38),C))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
mult(A,mult(rd(rd(unit,X_38),X_38),C)) = mult(A,mult(rd(unit,mult(X_38,X_38)),C)),
inference(resolve,[$cnf( $equal(mult(rd(rd(unit,X_38),X_38),C),mult(rd(unit,mult(X_38,X_38)),C)) )],[refute_0_704,refute_0_707]) ).
cnf(refute_0_709,plain,
( mult(A,mult(rd(rd(unit,X_38),X_38),C)) != mult(A,mult(rd(unit,mult(X_38,X_38)),C))
| mult(A,mult(rd(rd(unit,X_38),X_38),C)) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(A,mult(rd(unit,mult(X_38,X_38)),C)) = mult(mult(A,rd(unit,mult(X_38,X_38))),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(rd(rd(unit,X_38),X_38),C)),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) ),[0],$fot(mult(A,mult(rd(unit,mult(X_38,X_38)),C)))]]) ).
cnf(refute_0_710,plain,
( mult(A,mult(rd(rd(unit,X_38),X_38),C)) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(A,mult(rd(unit,mult(X_38,X_38)),C)) = mult(mult(A,rd(unit,mult(X_38,X_38))),C) ),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(rd(unit,X_38),X_38),C)),mult(A,mult(rd(unit,mult(X_38,X_38)),C))) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
mult(A,mult(rd(unit,mult(X_38,X_38)),C)) = mult(mult(A,rd(unit,mult(X_38,X_38))),C),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(rd(unit,X_38),X_38),C)),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) )],[refute_0_699,refute_0_710]) ).
cnf(refute_0_712,plain,
rd(unit,mult(X_38,X_38)) = ld(X_38,ld(X_38,unit)),
inference(subst,[],[refute_0_548:[bind(X_74,$fot(X_38))]]) ).
cnf(refute_0_713,plain,
mult(rd(unit,mult(X_38,X_38)),C) = mult(rd(unit,mult(X_38,X_38)),C),
introduced(tautology,[refl,[$fot(mult(rd(unit,mult(X_38,X_38)),C))]]) ).
cnf(refute_0_714,plain,
( mult(rd(unit,mult(X_38,X_38)),C) != mult(rd(unit,mult(X_38,X_38)),C)
| rd(unit,mult(X_38,X_38)) != ld(X_38,ld(X_38,unit))
| mult(rd(unit,mult(X_38,X_38)),C) = mult(ld(X_38,ld(X_38,unit)),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,mult(X_38,X_38)),C),mult(rd(unit,mult(X_38,X_38)),C)) ),[1,0],$fot(ld(X_38,ld(X_38,unit)))]]) ).
cnf(refute_0_715,plain,
( rd(unit,mult(X_38,X_38)) != ld(X_38,ld(X_38,unit))
| mult(rd(unit,mult(X_38,X_38)),C) = mult(ld(X_38,ld(X_38,unit)),C) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,mult(X_38,X_38)),C),mult(rd(unit,mult(X_38,X_38)),C)) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
mult(rd(unit,mult(X_38,X_38)),C) = mult(ld(X_38,ld(X_38,unit)),C),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_38,X_38)),ld(X_38,ld(X_38,unit))) )],[refute_0_712,refute_0_715]) ).
cnf(refute_0_717,plain,
mult(A,mult(rd(unit,mult(X_38,X_38)),C)) = mult(A,mult(rd(unit,mult(X_38,X_38)),C)),
introduced(tautology,[refl,[$fot(mult(A,mult(rd(unit,mult(X_38,X_38)),C)))]]) ).
cnf(refute_0_718,plain,
( mult(A,mult(rd(unit,mult(X_38,X_38)),C)) != mult(A,mult(rd(unit,mult(X_38,X_38)),C))
| mult(rd(unit,mult(X_38,X_38)),C) != mult(ld(X_38,ld(X_38,unit)),C)
| mult(A,mult(rd(unit,mult(X_38,X_38)),C)) = mult(A,mult(ld(X_38,ld(X_38,unit)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(rd(unit,mult(X_38,X_38)),C)),mult(A,mult(rd(unit,mult(X_38,X_38)),C))) ),[1,1],$fot(mult(ld(X_38,ld(X_38,unit)),C))]]) ).
cnf(refute_0_719,plain,
( mult(rd(unit,mult(X_38,X_38)),C) != mult(ld(X_38,ld(X_38,unit)),C)
| mult(A,mult(rd(unit,mult(X_38,X_38)),C)) = mult(A,mult(ld(X_38,ld(X_38,unit)),C)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(unit,mult(X_38,X_38)),C)),mult(A,mult(rd(unit,mult(X_38,X_38)),C))) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
mult(A,mult(rd(unit,mult(X_38,X_38)),C)) = mult(A,mult(ld(X_38,ld(X_38,unit)),C)),
inference(resolve,[$cnf( $equal(mult(rd(unit,mult(X_38,X_38)),C),mult(ld(X_38,ld(X_38,unit)),C)) )],[refute_0_716,refute_0_719]) ).
cnf(refute_0_721,plain,
( mult(A,mult(rd(unit,mult(X_38,X_38)),C)) != mult(A,mult(ld(X_38,ld(X_38,unit)),C))
| mult(A,mult(rd(unit,mult(X_38,X_38)),C)) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(mult(A,rd(unit,mult(X_38,X_38))),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(rd(unit,mult(X_38,X_38)),C)),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) ),[0],$fot(mult(A,mult(ld(X_38,ld(X_38,unit)),C)))]]) ).
cnf(refute_0_722,plain,
( mult(A,mult(rd(unit,mult(X_38,X_38)),C)) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(mult(A,rd(unit,mult(X_38,X_38))),C) ),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(unit,mult(X_38,X_38)),C)),mult(A,mult(ld(X_38,ld(X_38,unit)),C))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
mult(A,rd(unit,mult(X_38,X_38))) = mult(A,rd(unit,mult(X_38,X_38))),
introduced(tautology,[refl,[$fot(mult(A,rd(unit,mult(X_38,X_38))))]]) ).
cnf(refute_0_724,plain,
( mult(A,rd(unit,mult(X_38,X_38))) != mult(A,rd(unit,mult(X_38,X_38)))
| rd(unit,mult(X_38,X_38)) != ld(X_38,ld(X_38,unit))
| mult(A,rd(unit,mult(X_38,X_38))) = mult(A,ld(X_38,ld(X_38,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,rd(unit,mult(X_38,X_38))),mult(A,rd(unit,mult(X_38,X_38)))) ),[1,1],$fot(ld(X_38,ld(X_38,unit)))]]) ).
cnf(refute_0_725,plain,
( rd(unit,mult(X_38,X_38)) != ld(X_38,ld(X_38,unit))
| mult(A,rd(unit,mult(X_38,X_38))) = mult(A,ld(X_38,ld(X_38,unit))) ),
inference(resolve,[$cnf( $equal(mult(A,rd(unit,mult(X_38,X_38))),mult(A,rd(unit,mult(X_38,X_38)))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
mult(A,rd(unit,mult(X_38,X_38))) = mult(A,ld(X_38,ld(X_38,unit))),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_38,X_38)),ld(X_38,ld(X_38,unit))) )],[refute_0_712,refute_0_725]) ).
cnf(refute_0_727,plain,
mult(mult(A,rd(unit,mult(X_38,X_38))),C) = mult(mult(A,rd(unit,mult(X_38,X_38))),C),
introduced(tautology,[refl,[$fot(mult(mult(A,rd(unit,mult(X_38,X_38))),C))]]) ).
cnf(refute_0_728,plain,
( mult(A,rd(unit,mult(X_38,X_38))) != mult(A,ld(X_38,ld(X_38,unit)))
| mult(mult(A,rd(unit,mult(X_38,X_38))),C) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(mult(A,rd(unit,mult(X_38,X_38))),C) = mult(mult(A,ld(X_38,ld(X_38,unit))),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,rd(unit,mult(X_38,X_38))),C),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) ),[1,0],$fot(mult(A,ld(X_38,ld(X_38,unit))))]]) ).
cnf(refute_0_729,plain,
( mult(A,rd(unit,mult(X_38,X_38))) != mult(A,ld(X_38,ld(X_38,unit)))
| mult(mult(A,rd(unit,mult(X_38,X_38))),C) = mult(mult(A,ld(X_38,ld(X_38,unit))),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,rd(unit,mult(X_38,X_38))),C),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
mult(mult(A,rd(unit,mult(X_38,X_38))),C) = mult(mult(A,ld(X_38,ld(X_38,unit))),C),
inference(resolve,[$cnf( $equal(mult(A,rd(unit,mult(X_38,X_38))),mult(A,ld(X_38,ld(X_38,unit)))) )],[refute_0_726,refute_0_729]) ).
cnf(refute_0_731,plain,
( mult(A,mult(ld(X_38,ld(X_38,unit)),C)) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(mult(A,rd(unit,mult(X_38,X_38))),C) != mult(mult(A,ld(X_38,ld(X_38,unit))),C)
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(mult(A,ld(X_38,ld(X_38,unit))),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(mult(A,ld(X_38,ld(X_38,unit))),C)) ),[0],$fot(mult(mult(A,rd(unit,mult(X_38,X_38))),C))]]) ).
cnf(refute_0_732,plain,
( mult(A,mult(ld(X_38,ld(X_38,unit)),C)) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(mult(A,ld(X_38,ld(X_38,unit))),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,rd(unit,mult(X_38,X_38))),C),mult(mult(A,ld(X_38,ld(X_38,unit))),C)) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
( mult(A,mult(rd(unit,mult(X_38,X_38)),C)) != mult(mult(A,rd(unit,mult(X_38,X_38))),C)
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(mult(A,ld(X_38,ld(X_38,unit))),C) ),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) )],[refute_0_722,refute_0_732]) ).
cnf(refute_0_734,plain,
mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(mult(A,ld(X_38,ld(X_38,unit))),C),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(unit,mult(X_38,X_38)),C)),mult(mult(A,rd(unit,mult(X_38,X_38))),C)) )],[refute_0_711,refute_0_733]) ).
cnf(refute_0_735,plain,
rd(mult(X_46,mult(ld(B,unit),B)),ld(ld(B,unit),B)) = mult(X_46,mult(ld(B,unit),ld(B,unit))),
inference(subst,[],[refute_0_343:[bind(X_47,$fot(ld(B,unit)))]]) ).
cnf(refute_0_736,plain,
( mult(ld(B,unit),B) != unit
| rd(mult(X_46,mult(ld(B,unit),B)),ld(ld(B,unit),B)) != mult(X_46,mult(ld(B,unit),ld(B,unit)))
| rd(mult(X_46,unit),ld(ld(B,unit),B)) = mult(X_46,mult(ld(B,unit),ld(B,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,mult(ld(B,unit),B)),ld(ld(B,unit),B)),mult(X_46,mult(ld(B,unit),ld(B,unit)))) ),[0,0,1],$fot(unit)]]) ).
cnf(refute_0_737,plain,
( rd(mult(X_46,mult(ld(B,unit),B)),ld(ld(B,unit),B)) != mult(X_46,mult(ld(B,unit),ld(B,unit)))
| rd(mult(X_46,unit),ld(ld(B,unit),B)) = mult(X_46,mult(ld(B,unit),ld(B,unit))) ),
inference(resolve,[$cnf( $equal(mult(ld(B,unit),B),unit) )],[refute_0_430,refute_0_736]) ).
cnf(refute_0_738,plain,
rd(mult(X_46,unit),ld(ld(B,unit),B)) = mult(X_46,mult(ld(B,unit),ld(B,unit))),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(ld(B,unit),B)),ld(ld(B,unit),B)),mult(X_46,mult(ld(B,unit),ld(B,unit)))) )],[refute_0_735,refute_0_737]) ).
cnf(refute_0_739,plain,
mult(X_46,unit) = X_46,
inference(subst,[],[c05:[bind(A,$fot(X_46))]]) ).
cnf(refute_0_740,plain,
rd(mult(X_46,unit),ld(ld(B,unit),B)) = rd(mult(X_46,unit),ld(ld(B,unit),B)),
introduced(tautology,[refl,[$fot(rd(mult(X_46,unit),ld(ld(B,unit),B)))]]) ).
cnf(refute_0_741,plain,
( mult(X_46,unit) != X_46
| rd(mult(X_46,unit),ld(ld(B,unit),B)) != rd(mult(X_46,unit),ld(ld(B,unit),B))
| rd(mult(X_46,unit),ld(ld(B,unit),B)) = rd(X_46,ld(ld(B,unit),B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,unit),ld(ld(B,unit),B)),rd(mult(X_46,unit),ld(ld(B,unit),B))) ),[1,0],$fot(X_46)]]) ).
cnf(refute_0_742,plain,
( mult(X_46,unit) != X_46
| rd(mult(X_46,unit),ld(ld(B,unit),B)) = rd(X_46,ld(ld(B,unit),B)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,unit),ld(ld(B,unit),B)),rd(mult(X_46,unit),ld(ld(B,unit),B))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
rd(mult(X_46,unit),ld(ld(B,unit),B)) = rd(X_46,ld(ld(B,unit),B)),
inference(resolve,[$cnf( $equal(mult(X_46,unit),X_46) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
( rd(mult(X_46,unit),ld(ld(B,unit),B)) != mult(X_46,mult(ld(B,unit),ld(B,unit)))
| rd(mult(X_46,unit),ld(ld(B,unit),B)) != rd(X_46,ld(ld(B,unit),B))
| rd(X_46,ld(ld(B,unit),B)) = mult(X_46,mult(ld(B,unit),ld(B,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,unit),ld(ld(B,unit),B)),mult(X_46,mult(ld(B,unit),ld(B,unit)))) ),[0],$fot(rd(X_46,ld(ld(B,unit),B)))]]) ).
cnf(refute_0_745,plain,
( rd(mult(X_46,unit),ld(ld(B,unit),B)) != mult(X_46,mult(ld(B,unit),ld(B,unit)))
| rd(X_46,ld(ld(B,unit),B)) = mult(X_46,mult(ld(B,unit),ld(B,unit))) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,unit),ld(ld(B,unit),B)),rd(X_46,ld(ld(B,unit),B))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
mult(ld(B,unit),ld(B,unit)) = ld(B,ld(B,unit)),
inference(subst,[],[refute_0_557:[bind(X_11,$fot(B))]]) ).
cnf(refute_0_747,plain,
mult(X_46,mult(ld(B,unit),ld(B,unit))) = mult(X_46,mult(ld(B,unit),ld(B,unit))),
introduced(tautology,[refl,[$fot(mult(X_46,mult(ld(B,unit),ld(B,unit))))]]) ).
cnf(refute_0_748,plain,
( mult(X_46,mult(ld(B,unit),ld(B,unit))) != mult(X_46,mult(ld(B,unit),ld(B,unit)))
| mult(ld(B,unit),ld(B,unit)) != ld(B,ld(B,unit))
| mult(X_46,mult(ld(B,unit),ld(B,unit))) = mult(X_46,ld(B,ld(B,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_46,mult(ld(B,unit),ld(B,unit))),mult(X_46,mult(ld(B,unit),ld(B,unit)))) ),[1,1],$fot(ld(B,ld(B,unit)))]]) ).
cnf(refute_0_749,plain,
( mult(ld(B,unit),ld(B,unit)) != ld(B,ld(B,unit))
| mult(X_46,mult(ld(B,unit),ld(B,unit))) = mult(X_46,ld(B,ld(B,unit))) ),
inference(resolve,[$cnf( $equal(mult(X_46,mult(ld(B,unit),ld(B,unit))),mult(X_46,mult(ld(B,unit),ld(B,unit)))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
mult(X_46,mult(ld(B,unit),ld(B,unit))) = mult(X_46,ld(B,ld(B,unit))),
inference(resolve,[$cnf( $equal(mult(ld(B,unit),ld(B,unit)),ld(B,ld(B,unit))) )],[refute_0_746,refute_0_749]) ).
cnf(refute_0_751,plain,
( mult(X_46,mult(ld(B,unit),ld(B,unit))) != mult(X_46,ld(B,ld(B,unit)))
| rd(X_46,ld(ld(B,unit),B)) != mult(X_46,mult(ld(B,unit),ld(B,unit)))
| rd(X_46,ld(ld(B,unit),B)) = mult(X_46,ld(B,ld(B,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_46,ld(ld(B,unit),B)),mult(X_46,mult(ld(B,unit),ld(B,unit)))) ),[1],$fot(mult(X_46,ld(B,ld(B,unit))))]]) ).
cnf(refute_0_752,plain,
( rd(X_46,ld(ld(B,unit),B)) != mult(X_46,mult(ld(B,unit),ld(B,unit)))
| rd(X_46,ld(ld(B,unit),B)) = mult(X_46,ld(B,ld(B,unit))) ),
inference(resolve,[$cnf( $equal(mult(X_46,mult(ld(B,unit),ld(B,unit))),mult(X_46,ld(B,ld(B,unit)))) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
( rd(mult(X_46,unit),ld(ld(B,unit),B)) != mult(X_46,mult(ld(B,unit),ld(B,unit)))
| rd(X_46,ld(ld(B,unit),B)) = mult(X_46,ld(B,ld(B,unit))) ),
inference(resolve,[$cnf( $equal(rd(X_46,ld(ld(B,unit),B)),mult(X_46,mult(ld(B,unit),ld(B,unit)))) )],[refute_0_745,refute_0_752]) ).
cnf(refute_0_754,plain,
rd(X_46,ld(ld(B,unit),B)) = mult(X_46,ld(B,ld(B,unit))),
inference(resolve,[$cnf( $equal(rd(mult(X_46,unit),ld(ld(B,unit),B)),mult(X_46,mult(ld(B,unit),ld(B,unit)))) )],[refute_0_738,refute_0_753]) ).
cnf(refute_0_755,plain,
ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = ld(ld(X_80,unit),ld(ld(X_80,unit),unit)),
inference(subst,[],[refute_0_238:[bind(B,$fot(unit)),bind(X_34,$fot(ld(X_80,unit)))]]) ).
cnf(refute_0_756,plain,
ld(ld(X_11,unit),unit) = rd(unit,ld(X_11,unit)),
inference(subst,[],[refute_0_245:[bind(X_6,$fot(ld(X_11,unit)))]]) ).
cnf(refute_0_757,plain,
( ld(ld(X_11,unit),unit) != rd(unit,ld(X_11,unit))
| rd(unit,ld(X_11,unit)) = ld(ld(X_11,unit),unit) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(ld(X_11,unit),unit))),bind(Y,$fot(rd(unit,ld(X_11,unit))))]]) ).
cnf(refute_0_758,plain,
rd(unit,ld(X_11,unit)) = ld(ld(X_11,unit),unit),
inference(resolve,[$cnf( $equal(ld(ld(X_11,unit),unit),rd(unit,ld(X_11,unit))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
( rd(unit,ld(X_11,unit)) != X_11
| rd(unit,ld(X_11,unit)) != ld(ld(X_11,unit),unit)
| ld(ld(X_11,unit),unit) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,ld(X_11,unit)),X_11) ),[0],$fot(ld(ld(X_11,unit),unit))]]) ).
cnf(refute_0_760,plain,
( rd(unit,ld(X_11,unit)) != X_11
| ld(ld(X_11,unit),unit) = X_11 ),
inference(resolve,[$cnf( $equal(rd(unit,ld(X_11,unit)),ld(ld(X_11,unit),unit)) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
ld(ld(X_11,unit),unit) = X_11,
inference(resolve,[$cnf( $equal(rd(unit,ld(X_11,unit)),X_11) )],[refute_0_125,refute_0_760]) ).
cnf(refute_0_762,plain,
ld(ld(X_80,unit),unit) = X_80,
inference(subst,[],[refute_0_761:[bind(X_11,$fot(X_80))]]) ).
cnf(refute_0_763,plain,
( ld(ld(X_80,unit),unit) != X_80
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) != ld(ld(X_80,unit),ld(ld(X_80,unit),unit))
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = ld(ld(X_80,unit),X_80) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit),ld(ld(X_80,unit),ld(ld(X_80,unit),unit))) ),[1,1],$fot(X_80)]]) ).
cnf(refute_0_764,plain,
( ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) != ld(ld(X_80,unit),ld(ld(X_80,unit),unit))
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = ld(ld(X_80,unit),X_80) ),
inference(resolve,[$cnf( $equal(ld(ld(X_80,unit),unit),X_80) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = ld(ld(X_80,unit),X_80),
inference(resolve,[$cnf( $equal(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit),ld(ld(X_80,unit),ld(ld(X_80,unit),unit))) )],[refute_0_755,refute_0_764]) ).
cnf(refute_0_766,plain,
mult(X_80,unit) = X_80,
inference(subst,[],[c05:[bind(A,$fot(X_80))]]) ).
cnf(refute_0_767,plain,
mult(X_80,mult(X_80,unit)) = mult(X_80,mult(X_80,unit)),
introduced(tautology,[refl,[$fot(mult(X_80,mult(X_80,unit)))]]) ).
cnf(refute_0_768,plain,
( mult(X_80,mult(X_80,unit)) != mult(X_80,mult(X_80,unit))
| mult(X_80,unit) != X_80
| mult(X_80,mult(X_80,unit)) = mult(X_80,X_80) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_80,mult(X_80,unit)),mult(X_80,mult(X_80,unit))) ),[1,1],$fot(X_80)]]) ).
cnf(refute_0_769,plain,
( mult(X_80,unit) != X_80
| mult(X_80,mult(X_80,unit)) = mult(X_80,X_80) ),
inference(resolve,[$cnf( $equal(mult(X_80,mult(X_80,unit)),mult(X_80,mult(X_80,unit))) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
mult(X_80,mult(X_80,unit)) = mult(X_80,X_80),
inference(resolve,[$cnf( $equal(mult(X_80,unit),X_80) )],[refute_0_766,refute_0_769]) ).
cnf(refute_0_771,plain,
ld(mult(rd(unit,B),rd(unit,B)),X_43) = ld(rd(unit,B),ld(rd(unit,B),X_43)),
inference(subst,[],[refute_0_238:[bind(B,$fot(X_43)),bind(X_34,$fot(rd(unit,B)))]]) ).
cnf(refute_0_772,plain,
( ld(mult(rd(unit,B),rd(unit,B)),X_43) != ld(rd(unit,B),ld(rd(unit,B),X_43))
| mult(rd(unit,B),rd(unit,B)) != rd(rd(unit,B),B)
| ld(rd(rd(unit,B),B),X_43) = ld(rd(unit,B),ld(rd(unit,B),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(unit,B),rd(unit,B)),X_43),ld(rd(unit,B),ld(rd(unit,B),X_43))) ),[0,0],$fot(rd(rd(unit,B),B))]]) ).
cnf(refute_0_773,plain,
( ld(mult(rd(unit,B),rd(unit,B)),X_43) != ld(rd(unit,B),ld(rd(unit,B),X_43))
| ld(rd(rd(unit,B),B),X_43) = ld(rd(unit,B),ld(rd(unit,B),X_43)) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,B),rd(unit,B)),rd(rd(unit,B),B)) )],[refute_0_96,refute_0_772]) ).
cnf(refute_0_774,plain,
ld(rd(rd(unit,B),B),X_43) = ld(rd(unit,B),ld(rd(unit,B),X_43)),
inference(resolve,[$cnf( $equal(ld(mult(rd(unit,B),rd(unit,B)),X_43),ld(rd(unit,B),ld(rd(unit,B),X_43))) )],[refute_0_771,refute_0_773]) ).
cnf(refute_0_775,plain,
ld(rd(unit,mult(B,B)),X_43) = mult(B,mult(B,X_43)),
inference(subst,[],[refute_0_155:[bind(X_6,$fot(X_43)),bind(X_72,$fot(B))]]) ).
cnf(refute_0_776,plain,
rd(rd(unit,B),B) = rd(unit,mult(B,B)),
inference(subst,[],[refute_0_541:[bind(X_76,$fot(B))]]) ).
cnf(refute_0_777,plain,
ld(rd(rd(unit,B),B),X_43) = ld(rd(rd(unit,B),B),X_43),
introduced(tautology,[refl,[$fot(ld(rd(rd(unit,B),B),X_43))]]) ).
cnf(refute_0_778,plain,
( ld(rd(rd(unit,B),B),X_43) != ld(rd(rd(unit,B),B),X_43)
| rd(rd(unit,B),B) != rd(unit,mult(B,B))
| ld(rd(rd(unit,B),B),X_43) = ld(rd(unit,mult(B,B)),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(rd(unit,B),B),X_43),ld(rd(rd(unit,B),B),X_43)) ),[1,0],$fot(rd(unit,mult(B,B)))]]) ).
cnf(refute_0_779,plain,
( rd(rd(unit,B),B) != rd(unit,mult(B,B))
| ld(rd(rd(unit,B),B),X_43) = ld(rd(unit,mult(B,B)),X_43) ),
inference(resolve,[$cnf( $equal(ld(rd(rd(unit,B),B),X_43),ld(rd(rd(unit,B),B),X_43)) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
ld(rd(rd(unit,B),B),X_43) = ld(rd(unit,mult(B,B)),X_43),
inference(resolve,[$cnf( $equal(rd(rd(unit,B),B),rd(unit,mult(B,B))) )],[refute_0_776,refute_0_779]) ).
cnf(refute_0_781,plain,
( ld(rd(rd(unit,B),B),X_43) != ld(rd(unit,mult(B,B)),X_43)
| ld(rd(unit,mult(B,B)),X_43) != mult(B,mult(B,X_43))
| ld(rd(rd(unit,B),B),X_43) = mult(B,mult(B,X_43)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(rd(rd(unit,B),B),X_43))),bind(Y,$fot(ld(rd(unit,mult(B,B)),X_43))),bind(Z,$fot(mult(B,mult(B,X_43))))]]) ).
cnf(refute_0_782,plain,
( ld(rd(unit,mult(B,B)),X_43) != mult(B,mult(B,X_43))
| ld(rd(rd(unit,B),B),X_43) = mult(B,mult(B,X_43)) ),
inference(resolve,[$cnf( $equal(ld(rd(rd(unit,B),B),X_43),ld(rd(unit,mult(B,B)),X_43)) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
ld(rd(rd(unit,B),B),X_43) = mult(B,mult(B,X_43)),
inference(resolve,[$cnf( $equal(ld(rd(unit,mult(B,B)),X_43),mult(B,mult(B,X_43))) )],[refute_0_775,refute_0_782]) ).
cnf(refute_0_784,plain,
( ld(rd(rd(unit,B),B),X_43) != ld(rd(unit,B),ld(rd(unit,B),X_43))
| ld(rd(rd(unit,B),B),X_43) != mult(B,mult(B,X_43))
| mult(B,mult(B,X_43)) = ld(rd(unit,B),ld(rd(unit,B),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(rd(unit,B),B),X_43),ld(rd(unit,B),ld(rd(unit,B),X_43))) ),[0],$fot(mult(B,mult(B,X_43)))]]) ).
cnf(refute_0_785,plain,
( ld(rd(rd(unit,B),B),X_43) != ld(rd(unit,B),ld(rd(unit,B),X_43))
| mult(B,mult(B,X_43)) = ld(rd(unit,B),ld(rd(unit,B),X_43)) ),
inference(resolve,[$cnf( $equal(ld(rd(rd(unit,B),B),X_43),mult(B,mult(B,X_43))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
mult(B,mult(B,X_43)) = ld(rd(unit,B),ld(rd(unit,B),X_43)),
inference(resolve,[$cnf( $equal(ld(rd(rd(unit,B),B),X_43),ld(rd(unit,B),ld(rd(unit,B),X_43))) )],[refute_0_774,refute_0_785]) ).
cnf(refute_0_787,plain,
ld(rd(unit,B),X_43) = ld(rd(unit,B),X_43),
introduced(tautology,[refl,[$fot(ld(rd(unit,B),X_43))]]) ).
cnf(refute_0_788,plain,
( ld(rd(unit,B),X_43) != ld(rd(unit,B),X_43)
| rd(unit,B) != ld(B,unit)
| ld(rd(unit,B),X_43) = ld(ld(B,unit),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(unit,B),X_43),ld(rd(unit,B),X_43)) ),[1,0],$fot(ld(B,unit))]]) ).
cnf(refute_0_789,plain,
( rd(unit,B) != ld(B,unit)
| ld(rd(unit,B),X_43) = ld(ld(B,unit),X_43) ),
inference(resolve,[$cnf( $equal(ld(rd(unit,B),X_43),ld(rd(unit,B),X_43)) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
ld(rd(unit,B),X_43) = ld(ld(B,unit),X_43),
inference(resolve,[$cnf( $equal(rd(unit,B),ld(B,unit)) )],[refute_0_427,refute_0_789]) ).
cnf(refute_0_791,plain,
ld(ld(B,unit),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(rd(unit,B),X_43)),
introduced(tautology,[refl,[$fot(ld(ld(B,unit),ld(rd(unit,B),X_43)))]]) ).
cnf(refute_0_792,plain,
( ld(ld(B,unit),ld(rd(unit,B),X_43)) != ld(ld(B,unit),ld(rd(unit,B),X_43))
| ld(rd(unit,B),X_43) != ld(ld(B,unit),X_43)
| ld(ld(B,unit),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(B,unit),ld(rd(unit,B),X_43)),ld(ld(B,unit),ld(rd(unit,B),X_43))) ),[1,1],$fot(ld(ld(B,unit),X_43))]]) ).
cnf(refute_0_793,plain,
( ld(rd(unit,B),X_43) != ld(ld(B,unit),X_43)
| ld(ld(B,unit),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)) ),
inference(resolve,[$cnf( $equal(ld(ld(B,unit),ld(rd(unit,B),X_43)),ld(ld(B,unit),ld(rd(unit,B),X_43))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
ld(ld(B,unit),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)),
inference(resolve,[$cnf( $equal(ld(rd(unit,B),X_43),ld(ld(B,unit),X_43)) )],[refute_0_790,refute_0_793]) ).
cnf(refute_0_795,plain,
ld(rd(unit,B),ld(rd(unit,B),X_43)) = ld(rd(unit,B),ld(rd(unit,B),X_43)),
introduced(tautology,[refl,[$fot(ld(rd(unit,B),ld(rd(unit,B),X_43)))]]) ).
cnf(refute_0_796,plain,
( ld(rd(unit,B),ld(rd(unit,B),X_43)) != ld(rd(unit,B),ld(rd(unit,B),X_43))
| rd(unit,B) != ld(B,unit)
| ld(rd(unit,B),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(rd(unit,B),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(unit,B),ld(rd(unit,B),X_43)),ld(rd(unit,B),ld(rd(unit,B),X_43))) ),[1,0],$fot(ld(B,unit))]]) ).
cnf(refute_0_797,plain,
( rd(unit,B) != ld(B,unit)
| ld(rd(unit,B),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(rd(unit,B),X_43)) ),
inference(resolve,[$cnf( $equal(ld(rd(unit,B),ld(rd(unit,B),X_43)),ld(rd(unit,B),ld(rd(unit,B),X_43))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
ld(rd(unit,B),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(rd(unit,B),X_43)),
inference(resolve,[$cnf( $equal(rd(unit,B),ld(B,unit)) )],[refute_0_427,refute_0_797]) ).
cnf(refute_0_799,plain,
( ld(ld(B,unit),ld(rd(unit,B),X_43)) != ld(ld(B,unit),ld(ld(B,unit),X_43))
| ld(rd(unit,B),ld(rd(unit,B),X_43)) != ld(ld(B,unit),ld(rd(unit,B),X_43))
| ld(rd(unit,B),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(rd(unit,B),ld(rd(unit,B),X_43)))),bind(Y,$fot(ld(ld(B,unit),ld(rd(unit,B),X_43)))),bind(Z,$fot(ld(ld(B,unit),ld(ld(B,unit),X_43))))]]) ).
cnf(refute_0_800,plain,
( ld(ld(B,unit),ld(rd(unit,B),X_43)) != ld(ld(B,unit),ld(ld(B,unit),X_43))
| ld(rd(unit,B),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)) ),
inference(resolve,[$cnf( $equal(ld(rd(unit,B),ld(rd(unit,B),X_43)),ld(ld(B,unit),ld(rd(unit,B),X_43))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
ld(rd(unit,B),ld(rd(unit,B),X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)),
inference(resolve,[$cnf( $equal(ld(ld(B,unit),ld(rd(unit,B),X_43)),ld(ld(B,unit),ld(ld(B,unit),X_43))) )],[refute_0_794,refute_0_800]) ).
cnf(refute_0_802,plain,
( ld(rd(unit,B),ld(rd(unit,B),X_43)) != ld(ld(B,unit),ld(ld(B,unit),X_43))
| mult(B,mult(B,X_43)) != ld(rd(unit,B),ld(rd(unit,B),X_43))
| mult(B,mult(B,X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(B,mult(B,X_43)),ld(rd(unit,B),ld(rd(unit,B),X_43))) ),[1],$fot(ld(ld(B,unit),ld(ld(B,unit),X_43)))]]) ).
cnf(refute_0_803,plain,
( mult(B,mult(B,X_43)) != ld(rd(unit,B),ld(rd(unit,B),X_43))
| mult(B,mult(B,X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)) ),
inference(resolve,[$cnf( $equal(ld(rd(unit,B),ld(rd(unit,B),X_43)),ld(ld(B,unit),ld(ld(B,unit),X_43))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
mult(B,mult(B,X_43)) = ld(ld(B,unit),ld(ld(B,unit),X_43)),
inference(resolve,[$cnf( $equal(mult(B,mult(B,X_43)),ld(rd(unit,B),ld(rd(unit,B),X_43))) )],[refute_0_786,refute_0_803]) ).
cnf(refute_0_805,plain,
( mult(B,mult(B,X_43)) != ld(ld(B,unit),ld(ld(B,unit),X_43))
| ld(ld(B,unit),ld(ld(B,unit),X_43)) = mult(B,mult(B,X_43)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(B,mult(B,X_43)))),bind(Y,$fot(ld(ld(B,unit),ld(ld(B,unit),X_43))))]]) ).
cnf(refute_0_806,plain,
ld(ld(B,unit),ld(ld(B,unit),X_43)) = mult(B,mult(B,X_43)),
inference(resolve,[$cnf( $equal(mult(B,mult(B,X_43)),ld(ld(B,unit),ld(ld(B,unit),X_43))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
ld(ld(X_80,unit),ld(ld(X_80,unit),unit)) = mult(X_80,mult(X_80,unit)),
inference(subst,[],[refute_0_806:[bind(B,$fot(X_80)),bind(X_43,$fot(unit))]]) ).
cnf(refute_0_808,plain,
( ld(ld(X_80,unit),ld(ld(X_80,unit),unit)) != mult(X_80,mult(X_80,unit))
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) != ld(ld(X_80,unit),ld(ld(X_80,unit),unit))
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = mult(X_80,mult(X_80,unit)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit))),bind(Y,$fot(ld(ld(X_80,unit),ld(ld(X_80,unit),unit)))),bind(Z,$fot(mult(X_80,mult(X_80,unit))))]]) ).
cnf(refute_0_809,plain,
( ld(ld(X_80,unit),ld(ld(X_80,unit),unit)) != mult(X_80,mult(X_80,unit))
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = mult(X_80,mult(X_80,unit)) ),
inference(resolve,[$cnf( $equal(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit),ld(ld(X_80,unit),ld(ld(X_80,unit),unit))) )],[refute_0_755,refute_0_808]) ).
cnf(refute_0_810,plain,
ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = mult(X_80,mult(X_80,unit)),
inference(resolve,[$cnf( $equal(ld(ld(X_80,unit),ld(ld(X_80,unit),unit)),mult(X_80,mult(X_80,unit))) )],[refute_0_807,refute_0_809]) ).
cnf(refute_0_811,plain,
( ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) != mult(X_80,mult(X_80,unit))
| mult(X_80,mult(X_80,unit)) != mult(X_80,X_80)
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = mult(X_80,X_80) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit))),bind(Y,$fot(mult(X_80,mult(X_80,unit)))),bind(Z,$fot(mult(X_80,X_80)))]]) ).
cnf(refute_0_812,plain,
( mult(X_80,mult(X_80,unit)) != mult(X_80,X_80)
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = mult(X_80,X_80) ),
inference(resolve,[$cnf( $equal(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit),mult(X_80,mult(X_80,unit))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) = mult(X_80,X_80),
inference(resolve,[$cnf( $equal(mult(X_80,mult(X_80,unit)),mult(X_80,X_80)) )],[refute_0_770,refute_0_812]) ).
cnf(refute_0_814,plain,
( ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) != ld(ld(X_80,unit),X_80)
| ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) != mult(X_80,X_80)
| mult(X_80,X_80) = ld(ld(X_80,unit),X_80) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit),ld(ld(X_80,unit),X_80)) ),[0],$fot(mult(X_80,X_80))]]) ).
cnf(refute_0_815,plain,
( ld(mult(ld(X_80,unit),ld(X_80,unit)),unit) != ld(ld(X_80,unit),X_80)
| mult(X_80,X_80) = ld(ld(X_80,unit),X_80) ),
inference(resolve,[$cnf( $equal(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit),mult(X_80,X_80)) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
mult(X_80,X_80) = ld(ld(X_80,unit),X_80),
inference(resolve,[$cnf( $equal(ld(mult(ld(X_80,unit),ld(X_80,unit)),unit),ld(ld(X_80,unit),X_80)) )],[refute_0_765,refute_0_815]) ).
cnf(refute_0_817,plain,
( mult(X_80,X_80) != ld(ld(X_80,unit),X_80)
| ld(ld(X_80,unit),X_80) = mult(X_80,X_80) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(X_80,X_80))),bind(Y,$fot(ld(ld(X_80,unit),X_80)))]]) ).
cnf(refute_0_818,plain,
ld(ld(X_80,unit),X_80) = mult(X_80,X_80),
inference(resolve,[$cnf( $equal(mult(X_80,X_80),ld(ld(X_80,unit),X_80)) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
ld(ld(B,unit),B) = mult(B,B),
inference(subst,[],[refute_0_818:[bind(X_80,$fot(B))]]) ).
cnf(refute_0_820,plain,
rd(X_46,ld(ld(B,unit),B)) = rd(X_46,ld(ld(B,unit),B)),
introduced(tautology,[refl,[$fot(rd(X_46,ld(ld(B,unit),B)))]]) ).
cnf(refute_0_821,plain,
( ld(ld(B,unit),B) != mult(B,B)
| rd(X_46,ld(ld(B,unit),B)) != rd(X_46,ld(ld(B,unit),B))
| rd(X_46,ld(ld(B,unit),B)) = rd(X_46,mult(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_46,ld(ld(B,unit),B)),rd(X_46,ld(ld(B,unit),B))) ),[1,1],$fot(mult(B,B))]]) ).
cnf(refute_0_822,plain,
( ld(ld(B,unit),B) != mult(B,B)
| rd(X_46,ld(ld(B,unit),B)) = rd(X_46,mult(B,B)) ),
inference(resolve,[$cnf( $equal(rd(X_46,ld(ld(B,unit),B)),rd(X_46,ld(ld(B,unit),B))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
rd(X_46,ld(ld(B,unit),B)) = rd(X_46,mult(B,B)),
inference(resolve,[$cnf( $equal(ld(ld(B,unit),B),mult(B,B)) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
( rd(X_46,ld(ld(B,unit),B)) != mult(X_46,ld(B,ld(B,unit)))
| rd(X_46,ld(ld(B,unit),B)) != rd(X_46,mult(B,B))
| rd(X_46,mult(B,B)) = mult(X_46,ld(B,ld(B,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_46,ld(ld(B,unit),B)),mult(X_46,ld(B,ld(B,unit)))) ),[0],$fot(rd(X_46,mult(B,B)))]]) ).
cnf(refute_0_825,plain,
( rd(X_46,ld(ld(B,unit),B)) != mult(X_46,ld(B,ld(B,unit)))
| rd(X_46,mult(B,B)) = mult(X_46,ld(B,ld(B,unit))) ),
inference(resolve,[$cnf( $equal(rd(X_46,ld(ld(B,unit),B)),rd(X_46,mult(B,B))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
rd(X_46,mult(B,B)) = mult(X_46,ld(B,ld(B,unit))),
inference(resolve,[$cnf( $equal(rd(X_46,ld(ld(B,unit),B)),mult(X_46,ld(B,ld(B,unit)))) )],[refute_0_754,refute_0_825]) ).
cnf(refute_0_827,plain,
( rd(X_46,mult(B,B)) != mult(X_46,ld(B,ld(B,unit)))
| mult(X_46,ld(B,ld(B,unit))) = rd(X_46,mult(B,B)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(rd(X_46,mult(B,B)))),bind(Y,$fot(mult(X_46,ld(B,ld(B,unit)))))]]) ).
cnf(refute_0_828,plain,
mult(X_46,ld(B,ld(B,unit))) = rd(X_46,mult(B,B)),
inference(resolve,[$cnf( $equal(rd(X_46,mult(B,B)),mult(X_46,ld(B,ld(B,unit)))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
mult(A,ld(X_38,ld(X_38,unit))) = rd(A,mult(X_38,X_38)),
inference(subst,[],[refute_0_828:[bind(B,$fot(X_38)),bind(X_46,$fot(A))]]) ).
cnf(refute_0_830,plain,
mult(mult(A,ld(X_38,ld(X_38,unit))),C) = mult(mult(A,ld(X_38,ld(X_38,unit))),C),
introduced(tautology,[refl,[$fot(mult(mult(A,ld(X_38,ld(X_38,unit))),C))]]) ).
cnf(refute_0_831,plain,
( mult(A,ld(X_38,ld(X_38,unit))) != rd(A,mult(X_38,X_38))
| mult(mult(A,ld(X_38,ld(X_38,unit))),C) != mult(mult(A,ld(X_38,ld(X_38,unit))),C)
| mult(mult(A,ld(X_38,ld(X_38,unit))),C) = mult(rd(A,mult(X_38,X_38)),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,ld(X_38,ld(X_38,unit))),C),mult(mult(A,ld(X_38,ld(X_38,unit))),C)) ),[1,0],$fot(rd(A,mult(X_38,X_38)))]]) ).
cnf(refute_0_832,plain,
( mult(A,ld(X_38,ld(X_38,unit))) != rd(A,mult(X_38,X_38))
| mult(mult(A,ld(X_38,ld(X_38,unit))),C) = mult(rd(A,mult(X_38,X_38)),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,ld(X_38,ld(X_38,unit))),C),mult(mult(A,ld(X_38,ld(X_38,unit))),C)) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
mult(mult(A,ld(X_38,ld(X_38,unit))),C) = mult(rd(A,mult(X_38,X_38)),C),
inference(resolve,[$cnf( $equal(mult(A,ld(X_38,ld(X_38,unit))),rd(A,mult(X_38,X_38))) )],[refute_0_829,refute_0_832]) ).
cnf(refute_0_834,plain,
( mult(A,mult(ld(X_38,ld(X_38,unit)),C)) != mult(mult(A,ld(X_38,ld(X_38,unit))),C)
| mult(mult(A,ld(X_38,ld(X_38,unit))),C) != mult(rd(A,mult(X_38,X_38)),C)
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(rd(A,mult(X_38,X_38)),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(rd(A,mult(X_38,X_38)),C)) ),[0],$fot(mult(mult(A,ld(X_38,ld(X_38,unit))),C))]]) ).
cnf(refute_0_835,plain,
( mult(A,mult(ld(X_38,ld(X_38,unit)),C)) != mult(mult(A,ld(X_38,ld(X_38,unit))),C)
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(rd(A,mult(X_38,X_38)),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,ld(X_38,ld(X_38,unit))),C),mult(rd(A,mult(X_38,X_38)),C)) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(rd(A,mult(X_38,X_38)),C),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(mult(A,ld(X_38,ld(X_38,unit))),C)) )],[refute_0_734,refute_0_835]) ).
cnf(refute_0_837,plain,
mult(rd(rd(unit,X_38),X_38),X_20) = mult(rd(rd(unit,X_38),X_38),X_20),
introduced(tautology,[refl,[$fot(mult(rd(rd(unit,X_38),X_38),X_20))]]) ).
cnf(refute_0_838,plain,
( mult(rd(rd(unit,X_38),X_38),X_20) != mult(rd(rd(unit,X_38),X_38),X_20)
| rd(rd(unit,X_38),X_38) != rd(unit,mult(X_38,X_38))
| mult(rd(rd(unit,X_38),X_38),X_20) = mult(rd(unit,mult(X_38,X_38)),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(unit,X_38),X_38),X_20),mult(rd(rd(unit,X_38),X_38),X_20)) ),[1,0],$fot(rd(unit,mult(X_38,X_38)))]]) ).
cnf(refute_0_839,plain,
( rd(rd(unit,X_38),X_38) != rd(unit,mult(X_38,X_38))
| mult(rd(rd(unit,X_38),X_38),X_20) = mult(rd(unit,mult(X_38,X_38)),X_20) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(unit,X_38),X_38),X_20),mult(rd(rd(unit,X_38),X_38),X_20)) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
mult(rd(rd(unit,X_38),X_38),X_20) = mult(rd(unit,mult(X_38,X_38)),X_20),
inference(resolve,[$cnf( $equal(rd(rd(unit,X_38),X_38),rd(unit,mult(X_38,X_38))) )],[refute_0_700,refute_0_839]) ).
cnf(refute_0_841,plain,
( mult(rd(rd(unit,X_38),X_38),X_20) != mult(rd(unit,mult(X_38,X_38)),X_20)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(rd(rd(unit,X_38),X_38),X_20)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(rd(unit,mult(X_38,X_38)),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(rd(rd(unit,X_38),X_38),X_20)) ),[1],$fot(mult(rd(unit,mult(X_38,X_38)),X_20))]]) ).
cnf(refute_0_842,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(rd(rd(unit,X_38),X_38),X_20)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(rd(unit,mult(X_38,X_38)),X_20) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(unit,X_38),X_38),X_20),mult(rd(unit,mult(X_38,X_38)),X_20)) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(rd(unit,mult(X_38,X_38)),X_20),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(rd(rd(unit,X_38),X_38),X_20)) )],[refute_0_632,refute_0_842]) ).
cnf(refute_0_844,plain,
mult(rd(unit,mult(X_38,X_38)),X_20) = mult(rd(unit,mult(X_38,X_38)),X_20),
introduced(tautology,[refl,[$fot(mult(rd(unit,mult(X_38,X_38)),X_20))]]) ).
cnf(refute_0_845,plain,
( mult(rd(unit,mult(X_38,X_38)),X_20) != mult(rd(unit,mult(X_38,X_38)),X_20)
| rd(unit,mult(X_38,X_38)) != ld(X_38,ld(X_38,unit))
| mult(rd(unit,mult(X_38,X_38)),X_20) = mult(ld(X_38,ld(X_38,unit)),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,mult(X_38,X_38)),X_20),mult(rd(unit,mult(X_38,X_38)),X_20)) ),[1,0],$fot(ld(X_38,ld(X_38,unit)))]]) ).
cnf(refute_0_846,plain,
( rd(unit,mult(X_38,X_38)) != ld(X_38,ld(X_38,unit))
| mult(rd(unit,mult(X_38,X_38)),X_20) = mult(ld(X_38,ld(X_38,unit)),X_20) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,mult(X_38,X_38)),X_20),mult(rd(unit,mult(X_38,X_38)),X_20)) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
mult(rd(unit,mult(X_38,X_38)),X_20) = mult(ld(X_38,ld(X_38,unit)),X_20),
inference(resolve,[$cnf( $equal(rd(unit,mult(X_38,X_38)),ld(X_38,ld(X_38,unit))) )],[refute_0_712,refute_0_846]) ).
cnf(refute_0_848,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(rd(unit,mult(X_38,X_38)),X_20)
| mult(rd(unit,mult(X_38,X_38)),X_20) != mult(ld(X_38,ld(X_38,unit)),X_20)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(ld(X_38,ld(X_38,unit)),X_20)) ),[0],$fot(mult(rd(unit,mult(X_38,X_38)),X_20))]]) ).
cnf(refute_0_849,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(rd(unit,mult(X_38,X_38)),X_20)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,mult(X_38,X_38)),X_20),mult(ld(X_38,ld(X_38,unit)),X_20)) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(rd(unit,mult(X_38,X_38)),X_20)) )],[refute_0_843,refute_0_849]) ).
cnf(refute_0_851,plain,
rd(unit,X_38) = ld(X_38,unit),
inference(subst,[],[refute_0_247:[bind(X_6,$fot(X_38))]]) ).
cnf(refute_0_852,plain,
mult(rd(unit,X_38),X_20) = mult(rd(unit,X_38),X_20),
introduced(tautology,[refl,[$fot(mult(rd(unit,X_38),X_20))]]) ).
cnf(refute_0_853,plain,
( mult(rd(unit,X_38),X_20) != mult(rd(unit,X_38),X_20)
| rd(unit,X_38) != ld(X_38,unit)
| mult(rd(unit,X_38),X_20) = mult(ld(X_38,unit),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,X_38),X_20),mult(rd(unit,X_38),X_20)) ),[1,0],$fot(ld(X_38,unit))]]) ).
cnf(refute_0_854,plain,
( rd(unit,X_38) != ld(X_38,unit)
| mult(rd(unit,X_38),X_20) = mult(ld(X_38,unit),X_20) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),X_20),mult(rd(unit,X_38),X_20)) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
mult(rd(unit,X_38),X_20) = mult(ld(X_38,unit),X_20),
inference(resolve,[$cnf( $equal(rd(unit,X_38),ld(X_38,unit)) )],[refute_0_851,refute_0_854]) ).
cnf(refute_0_856,plain,
mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)),
introduced(tautology,[refl,[$fot(mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)))]]) ).
cnf(refute_0_857,plain,
( mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) != mult(ld(X_38,unit),mult(rd(unit,X_38),X_20))
| mult(rd(unit,X_38),X_20) != mult(ld(X_38,unit),X_20)
| mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)),mult(ld(X_38,unit),mult(rd(unit,X_38),X_20))) ),[1,1],$fot(mult(ld(X_38,unit),X_20))]]) ).
cnf(refute_0_858,plain,
( mult(rd(unit,X_38),X_20) != mult(ld(X_38,unit),X_20)
| mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)),mult(ld(X_38,unit),mult(rd(unit,X_38),X_20))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),X_20),mult(ld(X_38,unit),X_20)) )],[refute_0_855,refute_0_858]) ).
cnf(refute_0_860,plain,
mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),
introduced(tautology,[refl,[$fot(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)))]]) ).
cnf(refute_0_861,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(rd(unit,X_38),mult(rd(unit,X_38),X_20))
| rd(unit,X_38) != ld(X_38,unit)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(rd(unit,X_38),mult(rd(unit,X_38),X_20))) ),[1,0],$fot(ld(X_38,unit))]]) ).
cnf(refute_0_862,plain,
( rd(unit,X_38) != ld(X_38,unit)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(rd(unit,X_38),mult(rd(unit,X_38),X_20))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)),
inference(resolve,[$cnf( $equal(rd(unit,X_38),ld(X_38,unit)) )],[refute_0_851,refute_0_862]) ).
cnf(refute_0_864,plain,
( mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) != mult(ld(X_38,unit),mult(ld(X_38,unit),X_20))
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(ld(X_38,unit),mult(rd(unit,X_38),X_20))
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)))),bind(Y,$fot(mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)))),bind(Z,$fot(mult(ld(X_38,unit),mult(ld(X_38,unit),X_20))))]]) ).
cnf(refute_0_865,plain,
( mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)) != mult(ld(X_38,unit),mult(ld(X_38,unit),X_20))
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(ld(X_38,unit),mult(rd(unit,X_38),X_20))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) = mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)),
inference(resolve,[$cnf( $equal(mult(ld(X_38,unit),mult(rd(unit,X_38),X_20)),mult(ld(X_38,unit),mult(ld(X_38,unit),X_20))) )],[refute_0_859,refute_0_865]) ).
cnf(refute_0_867,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(ld(X_38,ld(X_38,unit)),X_20)
| mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(ld(X_38,unit),mult(ld(X_38,unit),X_20))
| mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(ld(X_38,ld(X_38,unit)),X_20)) ),[0],$fot(mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)))]]) ).
cnf(refute_0_868,plain,
( mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)) != mult(ld(X_38,ld(X_38,unit)),X_20)
| mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20) ),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(ld(X_38,unit),mult(ld(X_38,unit),X_20))) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20),
inference(resolve,[$cnf( $equal(mult(rd(unit,X_38),mult(rd(unit,X_38),X_20)),mult(ld(X_38,ld(X_38,unit)),X_20)) )],[refute_0_850,refute_0_868]) ).
cnf(refute_0_870,plain,
mult(ld(X_38,unit),X_20) = ld(X_38,X_20),
inference(subst,[],[refute_0_357:[bind(B,$fot(X_20)),bind(X_88,$fot(X_38))]]) ).
cnf(refute_0_871,plain,
ld(X_38,mult(ld(X_38,unit),X_20)) = ld(X_38,mult(ld(X_38,unit),X_20)),
introduced(tautology,[refl,[$fot(ld(X_38,mult(ld(X_38,unit),X_20)))]]) ).
cnf(refute_0_872,plain,
( ld(X_38,mult(ld(X_38,unit),X_20)) != ld(X_38,mult(ld(X_38,unit),X_20))
| mult(ld(X_38,unit),X_20) != ld(X_38,X_20)
| ld(X_38,mult(ld(X_38,unit),X_20)) = ld(X_38,ld(X_38,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_38,mult(ld(X_38,unit),X_20)),ld(X_38,mult(ld(X_38,unit),X_20))) ),[1,1],$fot(ld(X_38,X_20))]]) ).
cnf(refute_0_873,plain,
( mult(ld(X_38,unit),X_20) != ld(X_38,X_20)
| ld(X_38,mult(ld(X_38,unit),X_20)) = ld(X_38,ld(X_38,X_20)) ),
inference(resolve,[$cnf( $equal(ld(X_38,mult(ld(X_38,unit),X_20)),ld(X_38,mult(ld(X_38,unit),X_20))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
ld(X_38,mult(ld(X_38,unit),X_20)) = ld(X_38,ld(X_38,X_20)),
inference(resolve,[$cnf( $equal(mult(ld(X_38,unit),X_20),ld(X_38,X_20)) )],[refute_0_870,refute_0_873]) ).
cnf(refute_0_875,plain,
mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) = ld(X_38,mult(ld(X_38,unit),X_20)),
inference(subst,[],[refute_0_357:[bind(B,$fot(mult(ld(X_38,unit),X_20))),bind(X_88,$fot(X_38))]]) ).
cnf(refute_0_876,plain,
( ld(X_38,mult(ld(X_38,unit),X_20)) != ld(X_38,ld(X_38,X_20))
| mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) != ld(X_38,mult(ld(X_38,unit),X_20))
| mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) = ld(X_38,ld(X_38,X_20)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)))),bind(Y,$fot(ld(X_38,mult(ld(X_38,unit),X_20)))),bind(Z,$fot(ld(X_38,ld(X_38,X_20))))]]) ).
cnf(refute_0_877,plain,
( ld(X_38,mult(ld(X_38,unit),X_20)) != ld(X_38,ld(X_38,X_20))
| mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) = ld(X_38,ld(X_38,X_20)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)),ld(X_38,mult(ld(X_38,unit),X_20))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) = ld(X_38,ld(X_38,X_20)),
inference(resolve,[$cnf( $equal(ld(X_38,mult(ld(X_38,unit),X_20)),ld(X_38,ld(X_38,X_20))) )],[refute_0_874,refute_0_877]) ).
cnf(refute_0_879,plain,
( mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) != ld(X_38,ld(X_38,X_20))
| mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) != mult(ld(X_38,ld(X_38,unit)),X_20)
| ld(X_38,ld(X_38,X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)),mult(ld(X_38,ld(X_38,unit)),X_20)) ),[0],$fot(ld(X_38,ld(X_38,X_20)))]]) ).
cnf(refute_0_880,plain,
( mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)) != mult(ld(X_38,ld(X_38,unit)),X_20)
| ld(X_38,ld(X_38,X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20) ),
inference(resolve,[$cnf( $equal(mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)),ld(X_38,ld(X_38,X_20))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
ld(X_38,ld(X_38,X_20)) = mult(ld(X_38,ld(X_38,unit)),X_20),
inference(resolve,[$cnf( $equal(mult(ld(X_38,unit),mult(ld(X_38,unit),X_20)),mult(ld(X_38,ld(X_38,unit)),X_20)) )],[refute_0_869,refute_0_880]) ).
cnf(refute_0_882,plain,
( ld(X_38,ld(X_38,X_20)) != mult(ld(X_38,ld(X_38,unit)),X_20)
| mult(ld(X_38,ld(X_38,unit)),X_20) = ld(X_38,ld(X_38,X_20)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_38,ld(X_38,X_20)))),bind(Y,$fot(mult(ld(X_38,ld(X_38,unit)),X_20)))]]) ).
cnf(refute_0_883,plain,
mult(ld(X_38,ld(X_38,unit)),X_20) = ld(X_38,ld(X_38,X_20)),
inference(resolve,[$cnf( $equal(ld(X_38,ld(X_38,X_20)),mult(ld(X_38,ld(X_38,unit)),X_20)) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
mult(ld(X_38,ld(X_38,unit)),C) = ld(X_38,ld(X_38,C)),
inference(subst,[],[refute_0_883:[bind(X_20,$fot(C))]]) ).
cnf(refute_0_885,plain,
mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(A,mult(ld(X_38,ld(X_38,unit)),C)),
introduced(tautology,[refl,[$fot(mult(A,mult(ld(X_38,ld(X_38,unit)),C)))]]) ).
cnf(refute_0_886,plain,
( mult(A,mult(ld(X_38,ld(X_38,unit)),C)) != mult(A,mult(ld(X_38,ld(X_38,unit)),C))
| mult(ld(X_38,ld(X_38,unit)),C) != ld(X_38,ld(X_38,C))
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(A,ld(X_38,ld(X_38,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(A,mult(ld(X_38,ld(X_38,unit)),C))) ),[1,1],$fot(ld(X_38,ld(X_38,C)))]]) ).
cnf(refute_0_887,plain,
( mult(ld(X_38,ld(X_38,unit)),C) != ld(X_38,ld(X_38,C))
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(A,ld(X_38,ld(X_38,C))) ),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(A,mult(ld(X_38,ld(X_38,unit)),C))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
mult(A,mult(ld(X_38,ld(X_38,unit)),C)) = mult(A,ld(X_38,ld(X_38,C))),
inference(resolve,[$cnf( $equal(mult(ld(X_38,ld(X_38,unit)),C),ld(X_38,ld(X_38,C))) )],[refute_0_884,refute_0_887]) ).
cnf(refute_0_889,plain,
( mult(A,mult(ld(X_38,ld(X_38,unit)),C)) != mult(A,ld(X_38,ld(X_38,C)))
| mult(A,mult(ld(X_38,ld(X_38,unit)),C)) != mult(rd(A,mult(X_38,X_38)),C)
| mult(A,ld(X_38,ld(X_38,C))) = mult(rd(A,mult(X_38,X_38)),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(rd(A,mult(X_38,X_38)),C)) ),[0],$fot(mult(A,ld(X_38,ld(X_38,C))))]]) ).
cnf(refute_0_890,plain,
( mult(A,mult(ld(X_38,ld(X_38,unit)),C)) != mult(rd(A,mult(X_38,X_38)),C)
| mult(A,ld(X_38,ld(X_38,C))) = mult(rd(A,mult(X_38,X_38)),C) ),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(A,ld(X_38,ld(X_38,C)))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
mult(A,ld(X_38,ld(X_38,C))) = mult(rd(A,mult(X_38,X_38)),C),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(X_38,ld(X_38,unit)),C)),mult(rd(A,mult(X_38,X_38)),C)) )],[refute_0_836,refute_0_890]) ).
cnf(refute_0_892,plain,
mult(rd(A,mult(X_38,X_38)),C) = ld(rd(mult(X_38,X_38),A),C),
inference(subst,[],[refute_0_311:[bind(B,$fot(C)),bind(X_93,$fot(mult(X_38,X_38))),bind(X_94,$fot(A))]]) ).
cnf(refute_0_893,plain,
( mult(A,ld(X_38,ld(X_38,C))) != mult(rd(A,mult(X_38,X_38)),C)
| mult(rd(A,mult(X_38,X_38)),C) != ld(rd(mult(X_38,X_38),A),C)
| mult(A,ld(X_38,ld(X_38,C))) = ld(rd(mult(X_38,X_38),A),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,ld(X_38,ld(X_38,C))),ld(rd(mult(X_38,X_38),A),C)) ),[0],$fot(mult(rd(A,mult(X_38,X_38)),C))]]) ).
cnf(refute_0_894,plain,
( mult(A,ld(X_38,ld(X_38,C))) != mult(rd(A,mult(X_38,X_38)),C)
| mult(A,ld(X_38,ld(X_38,C))) = ld(rd(mult(X_38,X_38),A),C) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_38,X_38)),C),ld(rd(mult(X_38,X_38),A),C)) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
mult(A,ld(X_38,ld(X_38,C))) = ld(rd(mult(X_38,X_38),A),C),
inference(resolve,[$cnf( $equal(mult(A,ld(X_38,ld(X_38,C))),mult(rd(A,mult(X_38,X_38)),C)) )],[refute_0_891,refute_0_894]) ).
cnf(refute_0_896,plain,
mult(X_113,ld(X_88,ld(X_88,unit))) = ld(rd(mult(X_88,X_88),X_113),unit),
inference(subst,[],[refute_0_895:[bind(A,$fot(X_113)),bind(C,$fot(unit)),bind(X_38,$fot(X_88))]]) ).
cnf(refute_0_897,plain,
( ld(rd(mult(X_88,X_88),X_113),unit) != rd(X_113,mult(X_88,X_88))
| mult(X_113,ld(X_88,ld(X_88,unit))) != ld(rd(mult(X_88,X_88),X_113),unit)
| mult(X_113,ld(X_88,ld(X_88,unit))) = rd(X_113,mult(X_88,X_88)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(X_113,ld(X_88,ld(X_88,unit))))),bind(Y,$fot(ld(rd(mult(X_88,X_88),X_113),unit))),bind(Z,$fot(rd(X_113,mult(X_88,X_88))))]]) ).
cnf(refute_0_898,plain,
( ld(rd(mult(X_88,X_88),X_113),unit) != rd(X_113,mult(X_88,X_88))
| mult(X_113,ld(X_88,ld(X_88,unit))) = rd(X_113,mult(X_88,X_88)) ),
inference(resolve,[$cnf( $equal(mult(X_113,ld(X_88,ld(X_88,unit))),ld(rd(mult(X_88,X_88),X_113),unit)) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
mult(X_113,ld(X_88,ld(X_88,unit))) = rd(X_113,mult(X_88,X_88)),
inference(resolve,[$cnf( $equal(ld(rd(mult(X_88,X_88),X_113),unit),rd(X_113,mult(X_88,X_88))) )],[refute_0_621,refute_0_898]) ).
cnf(refute_0_900,plain,
mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) = mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))),
introduced(tautology,[refl,[$fot(mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))]]) ).
cnf(refute_0_901,plain,
( mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) != mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))
| mult(ld(X_88,unit),ld(X_88,unit)) != ld(X_88,ld(X_88,unit))
| mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) = mult(X_113,ld(X_88,ld(X_88,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))),mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) ),[1,1],$fot(ld(X_88,ld(X_88,unit)))]]) ).
cnf(refute_0_902,plain,
( mult(ld(X_88,unit),ld(X_88,unit)) != ld(X_88,ld(X_88,unit))
| mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) = mult(X_113,ld(X_88,ld(X_88,unit))) ),
inference(resolve,[$cnf( $equal(mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))),mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) = mult(X_113,ld(X_88,ld(X_88,unit))),
inference(resolve,[$cnf( $equal(mult(ld(X_88,unit),ld(X_88,unit)),ld(X_88,ld(X_88,unit))) )],[refute_0_615,refute_0_902]) ).
cnf(refute_0_904,plain,
( mult(X_113,ld(X_88,ld(X_88,unit))) != rd(X_113,mult(X_88,X_88))
| mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) != mult(X_113,ld(X_88,ld(X_88,unit)))
| mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) = rd(X_113,mult(X_88,X_88)) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))),bind(Y,$fot(mult(X_113,ld(X_88,ld(X_88,unit))))),bind(Z,$fot(rd(X_113,mult(X_88,X_88))))]]) ).
cnf(refute_0_905,plain,
( mult(X_113,ld(X_88,ld(X_88,unit))) != rd(X_113,mult(X_88,X_88))
| mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) = rd(X_113,mult(X_88,X_88)) ),
inference(resolve,[$cnf( $equal(mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))),mult(X_113,ld(X_88,ld(X_88,unit)))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) = rd(X_113,mult(X_88,X_88)),
inference(resolve,[$cnf( $equal(mult(X_113,ld(X_88,ld(X_88,unit))),rd(X_113,mult(X_88,X_88))) )],[refute_0_899,refute_0_905]) ).
cnf(refute_0_907,plain,
mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) = mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))),
introduced(tautology,[refl,[$fot(mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))))]]) ).
cnf(refute_0_908,plain,
( mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) != mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))
| mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) != rd(X_113,mult(X_88,X_88))
| mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) = mult(X_113,rd(X_113,mult(X_88,X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))),mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))) ),[1,1],$fot(rd(X_113,mult(X_88,X_88)))]]) ).
cnf(refute_0_909,plain,
( mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))) != rd(X_113,mult(X_88,X_88))
| mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) = mult(X_113,rd(X_113,mult(X_88,X_88))) ),
inference(resolve,[$cnf( $equal(mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))),mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) = mult(X_113,rd(X_113,mult(X_88,X_88))),
inference(resolve,[$cnf( $equal(mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))),rd(X_113,mult(X_88,X_88))) )],[refute_0_906,refute_0_909]) ).
cnf(refute_0_911,plain,
( mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) != mult(X_113,rd(X_113,mult(X_88,X_88)))
| rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) != mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))
| rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) = mult(X_113,rd(X_113,mult(X_88,X_88))) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114))),bind(Y,$fot(mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))))),bind(Z,$fot(mult(X_113,rd(X_113,mult(X_88,X_88)))))]]) ).
cnf(refute_0_912,plain,
( mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))) != mult(X_113,rd(X_113,mult(X_88,X_88)))
| rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) = mult(X_113,rd(X_113,mult(X_88,X_88))) ),
inference(resolve,[$cnf( $equal(rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114),mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit))))) )],[refute_0_612,refute_0_911]) ).
cnf(refute_0_913,plain,
rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) = mult(X_113,rd(X_113,mult(X_88,X_88))),
inference(resolve,[$cnf( $equal(mult(X_113,mult(X_113,mult(ld(X_88,unit),ld(X_88,unit)))),mult(X_113,rd(X_113,mult(X_88,X_88)))) )],[refute_0_910,refute_0_912]) ).
cnf(refute_0_914,plain,
( rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) != mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))
| rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) != mult(X_113,rd(X_113,mult(X_88,X_88)))
| mult(X_113,rd(X_113,mult(X_88,X_88))) = mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114),mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))) ),[0],$fot(mult(X_113,rd(X_113,mult(X_88,X_88))))]]) ).
cnf(refute_0_915,plain,
( rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) != mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))
| mult(X_113,rd(X_113,mult(X_88,X_88))) = mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit)))) ),
inference(resolve,[$cnf( $equal(rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114),mult(X_113,rd(X_113,mult(X_88,X_88)))) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit)))) = ld(rd(X_88,mult(X_113,X_113)),ld(X_88,unit)),
inference(subst,[],[refute_0_149:[bind(A,$fot(X_88)),bind(X_62,$fot(ld(X_88,unit))),bind(X_63,$fot(X_113))]]) ).
cnf(refute_0_917,plain,
( mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit)))) != ld(rd(X_88,mult(X_113,X_113)),ld(X_88,unit))
| mult(X_113,rd(X_113,mult(X_88,X_88))) != mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))
| mult(X_113,rd(X_113,mult(X_88,X_88))) = ld(rd(X_88,mult(X_113,X_113)),ld(X_88,unit)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_113,rd(X_113,mult(X_88,X_88))),mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))) ),[1],$fot(ld(rd(X_88,mult(X_113,X_113)),ld(X_88,unit)))]]) ).
cnf(refute_0_918,plain,
( mult(X_113,rd(X_113,mult(X_88,X_88))) != mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))
| mult(X_113,rd(X_113,mult(X_88,X_88))) = ld(rd(X_88,mult(X_113,X_113)),ld(X_88,unit)) ),
inference(resolve,[$cnf( $equal(mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit)))),ld(rd(X_88,mult(X_113,X_113)),ld(X_88,unit))) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
( rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114) != mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))
| mult(X_113,rd(X_113,mult(X_88,X_88))) = ld(rd(X_88,mult(X_113,X_113)),ld(X_88,unit)) ),
inference(resolve,[$cnf( $equal(mult(X_113,rd(X_113,mult(X_88,X_88))),mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))) )],[refute_0_915,refute_0_918]) ).
cnf(refute_0_920,plain,
mult(X_113,rd(X_113,mult(X_88,X_88))) = ld(rd(X_88,mult(X_113,X_113)),ld(X_88,unit)),
inference(resolve,[$cnf( $equal(rd(mult(X_113,mult(X_113,mult(ld(X_88,unit),mult(ld(X_88,unit),X_114)))),X_114),mult(X_113,mult(X_113,ld(X_88,ld(X_88,unit))))) )],[refute_0_618,refute_0_919]) ).
cnf(refute_0_921,plain,
mult(X_116,rd(X_116,mult(X_117,X_117))) = ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit)),
inference(subst,[],[refute_0_920:[bind(X_113,$fot(X_116)),bind(X_88,$fot(X_117))]]) ).
cnf(refute_0_922,plain,
( mult(X_116,rd(X_116,mult(X_117,X_117))) != ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit))
| ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit)) = mult(X_116,rd(X_116,mult(X_117,X_117))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(mult(X_116,rd(X_116,mult(X_117,X_117))))),bind(Y,$fot(ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit))))]]) ).
cnf(refute_0_923,plain,
ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit)) = mult(X_116,rd(X_116,mult(X_117,X_117))),
inference(resolve,[$cnf( $equal(mult(X_116,rd(X_116,mult(X_117,X_117))),ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
( ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit)) != mult(X_116,rd(X_116,mult(X_117,X_117)))
| mult(rd(X_117,mult(X_116,X_116)),ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit))) != ld(X_117,unit)
| mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) = ld(X_117,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_117,mult(X_116,X_116)),ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit))),ld(X_117,unit)) ),[0,1],$fot(mult(X_116,rd(X_116,mult(X_117,X_117))))]]) ).
cnf(refute_0_925,plain,
( mult(rd(X_117,mult(X_116,X_116)),ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit))) != ld(X_117,unit)
| mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) = ld(X_117,unit) ),
inference(resolve,[$cnf( $equal(ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit)),mult(X_116,rd(X_116,mult(X_117,X_117)))) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) = ld(X_117,unit),
inference(resolve,[$cnf( $equal(mult(rd(X_117,mult(X_116,X_116)),ld(rd(X_117,mult(X_116,X_116)),ld(X_117,unit))),ld(X_117,unit)) )],[refute_0_600,refute_0_925]) ).
cnf(refute_0_927,plain,
ld(rd(mult(X_116,X_116),X_117),mult(X_116,rd(X_116,mult(X_117,X_117)))) = mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117)))),
inference(subst,[],[refute_0_315:[bind(B,$fot(rd(X_116,mult(X_117,X_117)))),bind(X_51,$fot(X_117)),bind(X_52,$fot(X_116))]]) ).
cnf(refute_0_928,plain,
mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) = ld(rd(mult(X_116,X_116),X_117),mult(X_116,rd(X_116,mult(X_117,X_117)))),
inference(subst,[],[refute_0_311:[bind(B,$fot(mult(X_116,rd(X_116,mult(X_117,X_117))))),bind(X_93,$fot(mult(X_116,X_116))),bind(X_94,$fot(X_117))]]) ).
cnf(refute_0_929,plain,
( ld(rd(mult(X_116,X_116),X_117),mult(X_116,rd(X_116,mult(X_117,X_117)))) != mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117))))
| mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) != ld(rd(mult(X_116,X_116),X_117),mult(X_116,rd(X_116,mult(X_117,X_117))))
| mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) = mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117)))) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))))),bind(Y,$fot(ld(rd(mult(X_116,X_116),X_117),mult(X_116,rd(X_116,mult(X_117,X_117)))))),bind(Z,$fot(mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117))))))]]) ).
cnf(refute_0_930,plain,
( ld(rd(mult(X_116,X_116),X_117),mult(X_116,rd(X_116,mult(X_117,X_117)))) != mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117))))
| mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) = mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))),ld(rd(mult(X_116,X_116),X_117),mult(X_116,rd(X_116,mult(X_117,X_117))))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) = mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117)))),
inference(resolve,[$cnf( $equal(ld(rd(mult(X_116,X_116),X_117),mult(X_116,rd(X_116,mult(X_117,X_117)))),mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117))))) )],[refute_0_927,refute_0_930]) ).
cnf(refute_0_932,plain,
( mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) != ld(X_117,unit)
| mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) != mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117))))
| mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117)))) = ld(X_117,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))),ld(X_117,unit)) ),[0],$fot(mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117)))))]]) ).
cnf(refute_0_933,plain,
( mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))) != ld(X_117,unit)
| mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117)))) = ld(X_117,unit) ),
inference(resolve,[$cnf( $equal(mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))),mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117))))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
mult(X_117,ld(X_116,rd(X_116,mult(X_117,X_117)))) = ld(X_117,unit),
inference(resolve,[$cnf( $equal(mult(rd(X_117,mult(X_116,X_116)),mult(X_116,rd(X_116,mult(X_117,X_117)))),ld(X_117,unit)) )],[refute_0_926,refute_0_933]) ).
cnf(refute_0_935,plain,
mult(A,ld(X_118,rd(X_118,mult(A,A)))) = ld(A,unit),
inference(subst,[],[refute_0_934:[bind(X_116,$fot(X_118)),bind(X_117,$fot(A))]]) ).
cnf(refute_0_936,plain,
( ld(A,mult(A,ld(X_118,rd(X_118,mult(A,A))))) != ld(X_118,rd(X_118,mult(A,A)))
| mult(A,ld(X_118,rd(X_118,mult(A,A)))) != ld(A,unit)
| ld(A,ld(A,unit)) = ld(X_118,rd(X_118,mult(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,ld(X_118,rd(X_118,mult(A,A))))),ld(X_118,rd(X_118,mult(A,A)))) ),[0,1],$fot(ld(A,unit))]]) ).
cnf(refute_0_937,plain,
( ld(A,mult(A,ld(X_118,rd(X_118,mult(A,A))))) != ld(X_118,rd(X_118,mult(A,A)))
| ld(A,ld(A,unit)) = ld(X_118,rd(X_118,mult(A,A))) ),
inference(resolve,[$cnf( $equal(mult(A,ld(X_118,rd(X_118,mult(A,A)))),ld(A,unit)) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
ld(A,ld(A,unit)) = ld(X_118,rd(X_118,mult(A,A))),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(X_118,rd(X_118,mult(A,A))))),ld(X_118,rd(X_118,mult(A,A)))) )],[refute_0_599,refute_0_937]) ).
cnf(refute_0_939,plain,
( ld(A,ld(A,unit)) != ld(X_118,rd(X_118,mult(A,A)))
| ld(X_118,rd(X_118,mult(A,A))) = ld(A,ld(A,unit)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(A,ld(A,unit)))),bind(Y,$fot(ld(X_118,rd(X_118,mult(A,A)))))]]) ).
cnf(refute_0_940,plain,
ld(X_118,rd(X_118,mult(A,A))) = ld(A,ld(A,unit)),
inference(resolve,[$cnf( $equal(ld(A,ld(A,unit)),ld(X_118,rd(X_118,mult(A,A)))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
ld(X_150,rd(X_150,mult(X_52,X_52))) = ld(X_52,ld(X_52,unit)),
inference(subst,[],[refute_0_940:[bind(A,$fot(X_52)),bind(X_118,$fot(X_150))]]) ).
cnf(refute_0_942,plain,
ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))) = ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))),
introduced(tautology,[refl,[$fot(ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))))]]) ).
cnf(refute_0_943,plain,
( ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))) != ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))
| ld(X_150,rd(X_150,mult(X_52,X_52))) != ld(X_52,ld(X_52,unit))
| ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))) = ld(X_150,ld(X_52,ld(X_52,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))),ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))) ),[1,1],$fot(ld(X_52,ld(X_52,unit)))]]) ).
cnf(refute_0_944,plain,
( ld(X_150,rd(X_150,mult(X_52,X_52))) != ld(X_52,ld(X_52,unit))
| ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))) = ld(X_150,ld(X_52,ld(X_52,unit))) ),
inference(resolve,[$cnf( $equal(ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))),ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))) = ld(X_150,ld(X_52,ld(X_52,unit))),
inference(resolve,[$cnf( $equal(ld(X_150,rd(X_150,mult(X_52,X_52))),ld(X_52,ld(X_52,unit))) )],[refute_0_941,refute_0_944]) ).
cnf(refute_0_946,plain,
( ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))) != ld(X_150,ld(X_52,ld(X_52,unit)))
| ld(mult(X_52,mult(X_52,X_150)),unit) != ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))
| ld(mult(X_52,mult(X_52,X_150)),unit) = ld(X_150,ld(X_52,ld(X_52,unit))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_52,mult(X_52,X_150)),unit),ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))) ),[1],$fot(ld(X_150,ld(X_52,ld(X_52,unit))))]]) ).
cnf(refute_0_947,plain,
( ld(mult(X_52,mult(X_52,X_150)),unit) != ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))
| ld(mult(X_52,mult(X_52,X_150)),unit) = ld(X_150,ld(X_52,ld(X_52,unit))) ),
inference(resolve,[$cnf( $equal(ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52)))),ld(X_150,ld(X_52,ld(X_52,unit)))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
ld(mult(X_52,mult(X_52,X_150)),unit) = ld(X_150,ld(X_52,ld(X_52,unit))),
inference(resolve,[$cnf( $equal(ld(mult(X_52,mult(X_52,X_150)),unit),ld(X_150,ld(X_150,rd(X_150,mult(X_52,X_52))))) )],[refute_0_598,refute_0_947]) ).
cnf(refute_0_949,plain,
ld(mult(X_52,mult(X_52,X_53)),unit) = ld(X_53,ld(X_52,ld(X_52,unit))),
inference(subst,[],[refute_0_948:[bind(X_150,$fot(X_53))]]) ).
cnf(refute_0_950,plain,
( ld(mult(X_52,mult(X_52,X_53)),unit) != ld(X_53,ld(X_52,ld(X_52,unit)))
| ld(mult(X_52,mult(X_52,X_53)),unit) != rd(ld(X_53,unit),mult(X_52,X_52))
| ld(X_53,ld(X_52,ld(X_52,unit))) = rd(ld(X_53,unit),mult(X_52,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_52,mult(X_52,X_53)),unit),rd(ld(X_53,unit),mult(X_52,X_52))) ),[0],$fot(ld(X_53,ld(X_52,ld(X_52,unit))))]]) ).
cnf(refute_0_951,plain,
( ld(mult(X_52,mult(X_52,X_53)),unit) != rd(ld(X_53,unit),mult(X_52,X_52))
| ld(X_53,ld(X_52,ld(X_52,unit))) = rd(ld(X_53,unit),mult(X_52,X_52)) ),
inference(resolve,[$cnf( $equal(ld(mult(X_52,mult(X_52,X_53)),unit),ld(X_53,ld(X_52,ld(X_52,unit)))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
ld(X_53,ld(X_52,ld(X_52,unit))) = rd(ld(X_53,unit),mult(X_52,X_52)),
inference(resolve,[$cnf( $equal(ld(mult(X_52,mult(X_52,X_53)),unit),rd(ld(X_53,unit),mult(X_52,X_52))) )],[refute_0_438,refute_0_951]) ).
cnf(refute_0_953,plain,
( ld(X_53,ld(X_52,ld(X_52,unit))) != rd(ld(X_53,unit),mult(X_52,X_52))
| rd(ld(X_53,unit),mult(X_52,X_52)) = ld(X_53,ld(X_52,ld(X_52,unit))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(ld(X_53,ld(X_52,ld(X_52,unit))))),bind(Y,$fot(rd(ld(X_53,unit),mult(X_52,X_52))))]]) ).
cnf(refute_0_954,plain,
rd(ld(X_53,unit),mult(X_52,X_52)) = ld(X_53,ld(X_52,ld(X_52,unit))),
inference(resolve,[$cnf( $equal(ld(X_53,ld(X_52,ld(X_52,unit))),rd(ld(X_53,unit),mult(X_52,X_52))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
rd(ld(X_85,unit),mult(X_227,X_227)) = ld(X_85,ld(X_227,ld(X_227,unit))),
inference(subst,[],[refute_0_954:[bind(X_52,$fot(X_227)),bind(X_53,$fot(X_85))]]) ).
cnf(refute_0_956,plain,
ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),
introduced(tautology,[refl,[$fot(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226))]]) ).
cnf(refute_0_957,plain,
( ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) != ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226)
| rd(ld(X_85,unit),mult(X_227,X_227)) != ld(X_85,ld(X_227,ld(X_227,unit)))
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226)) ),[1,0],$fot(ld(X_85,ld(X_227,ld(X_227,unit))))]]) ).
cnf(refute_0_958,plain,
( rd(ld(X_85,unit),mult(X_227,X_227)) != ld(X_85,ld(X_227,ld(X_227,unit)))
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226) ),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226),
inference(resolve,[$cnf( $equal(rd(ld(X_85,unit),mult(X_227,X_227)),ld(X_85,ld(X_227,ld(X_227,unit)))) )],[refute_0_955,refute_0_958]) ).
cnf(refute_0_960,plain,
( ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226) != mult(mult(X_227,mult(X_227,X_85)),X_226)
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) != ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226)
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = mult(mult(X_227,mult(X_227,X_85)),X_226) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226))),bind(Y,$fot(ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226))),bind(Z,$fot(mult(mult(X_227,mult(X_227,X_85)),X_226)))]]) ).
cnf(refute_0_961,plain,
( ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226) != mult(mult(X_227,mult(X_227,X_85)),X_226)
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = mult(mult(X_227,mult(X_227,X_85)),X_226) ),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226)) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) = mult(mult(X_227,mult(X_227,X_85)),X_226),
inference(resolve,[$cnf( $equal(ld(ld(X_85,ld(X_227,ld(X_227,unit))),X_226),mult(mult(X_227,mult(X_227,X_85)),X_226)) )],[refute_0_422,refute_0_961]) ).
cnf(refute_0_963,plain,
( ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) != mult(X_227,mult(X_227,mult(X_85,X_226)))
| ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) != mult(mult(X_227,mult(X_227,X_85)),X_226)
| mult(mult(X_227,mult(X_227,X_85)),X_226) = mult(X_227,mult(X_227,mult(X_85,X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),mult(X_227,mult(X_227,mult(X_85,X_226)))) ),[0],$fot(mult(mult(X_227,mult(X_227,X_85)),X_226))]]) ).
cnf(refute_0_964,plain,
( ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226) != mult(X_227,mult(X_227,mult(X_85,X_226)))
| mult(mult(X_227,mult(X_227,X_85)),X_226) = mult(X_227,mult(X_227,mult(X_85,X_226))) ),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),mult(mult(X_227,mult(X_227,X_85)),X_226)) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
mult(mult(X_227,mult(X_227,X_85)),X_226) = mult(X_227,mult(X_227,mult(X_85,X_226))),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_85,unit),mult(X_227,X_227)),X_226),mult(X_227,mult(X_227,mult(X_85,X_226)))) )],[refute_0_272,refute_0_964]) ).
cnf(refute_0_966,plain,
mult(mult(a,mult(a,b)),c) = mult(a,mult(a,mult(b,c))),
inference(subst,[],[refute_0_965:[bind(X_226,$fot(c)),bind(X_227,$fot(a)),bind(X_85,$fot(b))]]) ).
cnf(refute_0_967,plain,
( mult(a,mult(a,mult(b,c))) != mult(a,mult(a,mult(b,c)))
| mult(mult(a,mult(a,b)),c) != mult(a,mult(a,mult(b,c)))
| mult(a,mult(a,mult(b,c))) = mult(mult(a,mult(a,b)),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(a,mult(a,mult(b,c))),mult(mult(a,mult(a,b)),c)) ),[1],$fot(mult(a,mult(a,mult(b,c))))]]) ).
cnf(refute_0_968,plain,
( mult(a,mult(a,mult(b,c))) != mult(a,mult(a,mult(b,c)))
| mult(a,mult(a,mult(b,c))) = mult(mult(a,mult(a,b)),c) ),
inference(resolve,[$cnf( $equal(mult(mult(a,mult(a,b)),c),mult(a,mult(a,mult(b,c)))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
mult(a,mult(a,mult(b,c))) != mult(a,mult(a,mult(b,c))),
inference(resolve,[$cnf( $equal(mult(a,mult(a,mult(b,c))),mult(mult(a,mult(a,b)),c)) )],[refute_0_968,refute_0_17]) ).
cnf(refute_0_970,plain,
mult(a,mult(a,mult(b,c))) = mult(a,mult(a,mult(b,c))),
introduced(tautology,[refl,[$fot(mult(a,mult(a,mult(b,c))))]]) ).
cnf(refute_0_971,plain,
$false,
inference(resolve,[$cnf( $equal(mult(a,mult(a,mult(b,c))),mult(a,mult(a,mult(b,c)))) )],[refute_0_970,refute_0_969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP686-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 18:47:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.32/1.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.50
% 1.32/1.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.38/1.61
%------------------------------------------------------------------------------