TSTP Solution File: GRP660-11 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP660-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 10:44:38 EDT 2022
% Result : Unsatisfiable 1.82s 2.00s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 99
% Number of leaves : 279
% Syntax : Number of clauses : 989 ( 485 unt; 0 nHn; 480 RR)
% Number of literals : 1722 (1721 equ; 736 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 1842 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(A,ld(A,B)) = B ).
cnf(f02,axiom,
ld(A,mult(A,B)) = B ).
cnf(f03,axiom,
mult(rd(A,B),B) = A ).
cnf(f04,axiom,
rd(mult(A,B),B) = A ).
cnf(f05,axiom,
mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ).
cnf(goal,negated_conjecture,
mult(x0,rd(x1,x1)) != x0 ).
cnf(refute_0_0,plain,
rd(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),mult(X_115,rd(X_115,X_115))) = ld(X_115,X_115),
inference(subst,[],[f04:[bind(A,$fot(ld(X_115,X_115))),bind(B,$fot(mult(X_115,rd(X_115,X_115))))]]) ).
cnf(refute_0_1,plain,
rd(mult(mult(mult(B,X_13),X_14),B),B) = mult(mult(B,X_13),X_14),
inference(subst,[],[f04:[bind(A,$fot(mult(mult(B,X_13),X_14)))]]) ).
cnf(refute_0_2,plain,
mult(mult(mult(B,X_13),X_14),B) = mult(B,mult(X_13,mult(X_14,B))),
inference(subst,[],[f05:[bind(A,$fot(B)),bind(B,$fot(X_13)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_3,plain,
( mult(mult(mult(B,X_13),X_14),B) != mult(B,mult(X_13,mult(X_14,B)))
| rd(mult(mult(mult(B,X_13),X_14),B),B) != mult(mult(B,X_13),X_14)
| rd(mult(B,mult(X_13,mult(X_14,B))),B) = mult(mult(B,X_13),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(mult(B,X_13),X_14),B),B),mult(mult(B,X_13),X_14)) ),[0,0],$fot(mult(B,mult(X_13,mult(X_14,B))))]]) ).
cnf(refute_0_4,plain,
( rd(mult(mult(mult(B,X_13),X_14),B),B) != mult(mult(B,X_13),X_14)
| rd(mult(B,mult(X_13,mult(X_14,B))),B) = mult(mult(B,X_13),X_14) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(B,X_13),X_14),B),mult(B,mult(X_13,mult(X_14,B)))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
rd(mult(B,mult(X_13,mult(X_14,B))),B) = mult(mult(B,X_13),X_14),
inference(resolve,[$cnf( $equal(rd(mult(mult(mult(B,X_13),X_14),B),B),mult(mult(B,X_13),X_14)) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
rd(mult(X_21,mult(X_22,mult(rd(A,X_21),X_21))),X_21) = mult(mult(X_21,X_22),rd(A,X_21)),
inference(subst,[],[refute_0_5:[bind(B,$fot(X_21)),bind(X_13,$fot(X_22)),bind(X_14,$fot(rd(A,X_21)))]]) ).
cnf(refute_0_7,plain,
mult(rd(A,X_21),X_21) = A,
inference(subst,[],[f03:[bind(B,$fot(X_21))]]) ).
cnf(refute_0_8,plain,
( mult(rd(A,X_21),X_21) != A
| rd(mult(X_21,mult(X_22,mult(rd(A,X_21),X_21))),X_21) != mult(mult(X_21,X_22),rd(A,X_21))
| rd(mult(X_21,mult(X_22,A)),X_21) = mult(mult(X_21,X_22),rd(A,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_21,mult(X_22,mult(rd(A,X_21),X_21))),X_21),mult(mult(X_21,X_22),rd(A,X_21))) ),[0,0,1,1],$fot(A)]]) ).
cnf(refute_0_9,plain,
( rd(mult(X_21,mult(X_22,mult(rd(A,X_21),X_21))),X_21) != mult(mult(X_21,X_22),rd(A,X_21))
| rd(mult(X_21,mult(X_22,A)),X_21) = mult(mult(X_21,X_22),rd(A,X_21)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_21),X_21),A) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
rd(mult(X_21,mult(X_22,A)),X_21) = mult(mult(X_21,X_22),rd(A,X_21)),
inference(resolve,[$cnf( $equal(rd(mult(X_21,mult(X_22,mult(rd(A,X_21),X_21))),X_21),mult(mult(X_21,X_22),rd(A,X_21))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
rd(mult(X_28,mult(rd(A,X_27),X_27)),X_28) = mult(mult(X_28,rd(A,X_27)),rd(X_27,X_28)),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_27)),bind(X_21,$fot(X_28)),bind(X_22,$fot(rd(A,X_27)))]]) ).
cnf(refute_0_12,plain,
mult(rd(A,X_27),X_27) = A,
inference(subst,[],[f03:[bind(B,$fot(X_27))]]) ).
cnf(refute_0_13,plain,
( mult(rd(A,X_27),X_27) != A
| rd(mult(X_28,mult(rd(A,X_27),X_27)),X_28) != mult(mult(X_28,rd(A,X_27)),rd(X_27,X_28))
| rd(mult(X_28,A),X_28) = mult(mult(X_28,rd(A,X_27)),rd(X_27,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_28,mult(rd(A,X_27),X_27)),X_28),mult(mult(X_28,rd(A,X_27)),rd(X_27,X_28))) ),[0,0,1],$fot(A)]]) ).
cnf(refute_0_14,plain,
( rd(mult(X_28,mult(rd(A,X_27),X_27)),X_28) != mult(mult(X_28,rd(A,X_27)),rd(X_27,X_28))
| rd(mult(X_28,A),X_28) = mult(mult(X_28,rd(A,X_27)),rd(X_27,X_28)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_27),X_27),A) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
rd(mult(X_28,A),X_28) = mult(mult(X_28,rd(A,X_27)),rd(X_27,X_28)),
inference(resolve,[$cnf( $equal(rd(mult(X_28,mult(rd(A,X_27),X_27)),X_28),mult(mult(X_28,rd(A,X_27)),rd(X_27,X_28))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) = mult(mult(rd(X_27,X_27),rd(X_27,X_27)),rd(X_27,rd(X_27,X_27))),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_27)),bind(X_28,$fot(rd(X_27,X_27)))]]) ).
cnf(refute_0_17,plain,
ld(A,mult(A,mult(rd(A,A),rd(A,A)))) = mult(rd(A,A),rd(A,A)),
inference(subst,[],[f02:[bind(B,$fot(mult(rd(A,A),rd(A,A))))]]) ).
cnf(refute_0_18,plain,
ld(mult(mult(X_31,X_30),X_31),mult(mult(mult(X_31,X_30),X_31),rd(X_30,mult(X_31,X_30)))) = rd(X_30,mult(X_31,X_30)),
inference(subst,[],[f02:[bind(A,$fot(mult(mult(X_31,X_30),X_31))),bind(B,$fot(rd(X_30,mult(X_31,X_30))))]]) ).
cnf(refute_0_19,plain,
rd(mult(mult(X_29,X_27),mult(X_29,X_27)),mult(X_29,X_27)) = mult(X_29,X_27),
inference(subst,[],[f04:[bind(A,$fot(mult(X_29,X_27))),bind(B,$fot(mult(X_29,X_27)))]]) ).
cnf(refute_0_20,plain,
rd(mult(mult(X_29,X_27),mult(X_29,X_27)),mult(X_29,X_27)) = mult(mult(mult(X_29,X_27),X_29),rd(X_27,mult(X_29,X_27))),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_27)),bind(X_21,$fot(mult(X_29,X_27))),bind(X_22,$fot(X_29))]]) ).
cnf(refute_0_21,plain,
( rd(mult(mult(X_29,X_27),mult(X_29,X_27)),mult(X_29,X_27)) != mult(X_29,X_27)
| rd(mult(mult(X_29,X_27),mult(X_29,X_27)),mult(X_29,X_27)) != mult(mult(mult(X_29,X_27),X_29),rd(X_27,mult(X_29,X_27)))
| mult(mult(mult(X_29,X_27),X_29),rd(X_27,mult(X_29,X_27))) = mult(X_29,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_29,X_27),mult(X_29,X_27)),mult(X_29,X_27)),mult(X_29,X_27)) ),[0],$fot(mult(mult(mult(X_29,X_27),X_29),rd(X_27,mult(X_29,X_27))))]]) ).
cnf(refute_0_22,plain,
( rd(mult(mult(X_29,X_27),mult(X_29,X_27)),mult(X_29,X_27)) != mult(X_29,X_27)
| mult(mult(mult(X_29,X_27),X_29),rd(X_27,mult(X_29,X_27))) = mult(X_29,X_27) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_29,X_27),mult(X_29,X_27)),mult(X_29,X_27)),mult(mult(mult(X_29,X_27),X_29),rd(X_27,mult(X_29,X_27)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
mult(mult(mult(X_29,X_27),X_29),rd(X_27,mult(X_29,X_27))) = mult(X_29,X_27),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_29,X_27),mult(X_29,X_27)),mult(X_29,X_27)),mult(X_29,X_27)) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
mult(mult(mult(X_31,X_30),X_31),rd(X_30,mult(X_31,X_30))) = mult(X_31,X_30),
inference(subst,[],[refute_0_23:[bind(X_27,$fot(X_30)),bind(X_29,$fot(X_31))]]) ).
cnf(refute_0_25,plain,
( ld(mult(mult(X_31,X_30),X_31),mult(mult(mult(X_31,X_30),X_31),rd(X_30,mult(X_31,X_30)))) != rd(X_30,mult(X_31,X_30))
| mult(mult(mult(X_31,X_30),X_31),rd(X_30,mult(X_31,X_30))) != mult(X_31,X_30)
| ld(mult(mult(X_31,X_30),X_31),mult(X_31,X_30)) = rd(X_30,mult(X_31,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(X_31,X_30),X_31),mult(mult(mult(X_31,X_30),X_31),rd(X_30,mult(X_31,X_30)))),rd(X_30,mult(X_31,X_30))) ),[0,1],$fot(mult(X_31,X_30))]]) ).
cnf(refute_0_26,plain,
( ld(mult(mult(X_31,X_30),X_31),mult(mult(mult(X_31,X_30),X_31),rd(X_30,mult(X_31,X_30)))) != rd(X_30,mult(X_31,X_30))
| ld(mult(mult(X_31,X_30),X_31),mult(X_31,X_30)) = rd(X_30,mult(X_31,X_30)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_31,X_30),X_31),rd(X_30,mult(X_31,X_30))),mult(X_31,X_30)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
ld(mult(mult(X_31,X_30),X_31),mult(X_31,X_30)) = rd(X_30,mult(X_31,X_30)),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_31,X_30),X_31),mult(mult(mult(X_31,X_30),X_31),rd(X_30,mult(X_31,X_30)))),rd(X_30,mult(X_31,X_30))) )],[refute_0_18,refute_0_26]) ).
cnf(refute_0_28,plain,
ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),mult(rd(A,X_47),X_47)) = rd(X_47,mult(rd(A,X_47),X_47)),
inference(subst,[],[refute_0_27:[bind(X_30,$fot(X_47)),bind(X_31,$fot(rd(A,X_47)))]]) ).
cnf(refute_0_29,plain,
mult(rd(A,X_47),X_47) = A,
inference(subst,[],[f03:[bind(B,$fot(X_47))]]) ).
cnf(refute_0_30,plain,
( ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),mult(rd(A,X_47),X_47)) != rd(X_47,mult(rd(A,X_47),X_47))
| mult(rd(A,X_47),X_47) != A
| ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) = rd(X_47,mult(rd(A,X_47),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),mult(rd(A,X_47),X_47)),rd(X_47,mult(rd(A,X_47),X_47))) ),[0,1],$fot(A)]]) ).
cnf(refute_0_31,plain,
( ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),mult(rd(A,X_47),X_47)) != rd(X_47,mult(rd(A,X_47),X_47))
| ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) = rd(X_47,mult(rd(A,X_47),X_47)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_47),X_47),A) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) = rd(X_47,mult(rd(A,X_47),X_47)),
inference(resolve,[$cnf( $equal(ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),mult(rd(A,X_47),X_47)),rd(X_47,mult(rd(A,X_47),X_47))) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
mult(mult(rd(A,X_47),X_47),rd(A,X_47)) = mult(mult(rd(A,X_47),X_47),rd(A,X_47)),
introduced(tautology,[refl,[$fot(mult(mult(rd(A,X_47),X_47),rd(A,X_47)))]]) ).
cnf(refute_0_34,plain,
( mult(mult(rd(A,X_47),X_47),rd(A,X_47)) != mult(mult(rd(A,X_47),X_47),rd(A,X_47))
| mult(rd(A,X_47),X_47) != A
| mult(mult(rd(A,X_47),X_47),rd(A,X_47)) = mult(A,rd(A,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),mult(mult(rd(A,X_47),X_47),rd(A,X_47))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_35,plain,
( mult(rd(A,X_47),X_47) != A
| mult(mult(rd(A,X_47),X_47),rd(A,X_47)) = mult(A,rd(A,X_47)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),mult(mult(rd(A,X_47),X_47),rd(A,X_47))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
mult(mult(rd(A,X_47),X_47),rd(A,X_47)) = mult(A,rd(A,X_47)),
inference(resolve,[$cnf( $equal(mult(rd(A,X_47),X_47),A) )],[refute_0_29,refute_0_35]) ).
cnf(refute_0_37,plain,
ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) = ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A),
introduced(tautology,[refl,[$fot(ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A))]]) ).
cnf(refute_0_38,plain,
( ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) != ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A)
| mult(mult(rd(A,X_47),X_47),rd(A,X_47)) != mult(A,rd(A,X_47))
| ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) = ld(mult(A,rd(A,X_47)),A) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A),ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A)) ),[1,0],$fot(mult(A,rd(A,X_47)))]]) ).
cnf(refute_0_39,plain,
( mult(mult(rd(A,X_47),X_47),rd(A,X_47)) != mult(A,rd(A,X_47))
| ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) = ld(mult(A,rd(A,X_47)),A) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A),ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) = ld(mult(A,rd(A,X_47)),A),
inference(resolve,[$cnf( $equal(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),mult(A,rd(A,X_47))) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
( ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) != ld(mult(A,rd(A,X_47)),A)
| ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) != rd(X_47,mult(rd(A,X_47),X_47))
| ld(mult(A,rd(A,X_47)),A) = rd(X_47,mult(rd(A,X_47),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A),rd(X_47,mult(rd(A,X_47),X_47))) ),[0],$fot(ld(mult(A,rd(A,X_47)),A))]]) ).
cnf(refute_0_42,plain,
( ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) != rd(X_47,mult(rd(A,X_47),X_47))
| ld(mult(A,rd(A,X_47)),A) = rd(X_47,mult(rd(A,X_47),X_47)) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A),ld(mult(A,rd(A,X_47)),A)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
rd(X_47,mult(rd(A,X_47),X_47)) = rd(X_47,mult(rd(A,X_47),X_47)),
introduced(tautology,[refl,[$fot(rd(X_47,mult(rd(A,X_47),X_47)))]]) ).
cnf(refute_0_44,plain,
( mult(rd(A,X_47),X_47) != A
| rd(X_47,mult(rd(A,X_47),X_47)) != rd(X_47,mult(rd(A,X_47),X_47))
| rd(X_47,mult(rd(A,X_47),X_47)) = rd(X_47,A) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_47,mult(rd(A,X_47),X_47)),rd(X_47,mult(rd(A,X_47),X_47))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_45,plain,
( mult(rd(A,X_47),X_47) != A
| rd(X_47,mult(rd(A,X_47),X_47)) = rd(X_47,A) ),
inference(resolve,[$cnf( $equal(rd(X_47,mult(rd(A,X_47),X_47)),rd(X_47,mult(rd(A,X_47),X_47))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
rd(X_47,mult(rd(A,X_47),X_47)) = rd(X_47,A),
inference(resolve,[$cnf( $equal(mult(rd(A,X_47),X_47),A) )],[refute_0_29,refute_0_45]) ).
cnf(refute_0_47,plain,
( ld(mult(A,rd(A,X_47)),A) != rd(X_47,mult(rd(A,X_47),X_47))
| rd(X_47,mult(rd(A,X_47),X_47)) != rd(X_47,A)
| ld(mult(A,rd(A,X_47)),A) = rd(X_47,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(mult(A,rd(A,X_47)),A),rd(X_47,A)) ),[0],$fot(rd(X_47,mult(rd(A,X_47),X_47)))]]) ).
cnf(refute_0_48,plain,
( ld(mult(A,rd(A,X_47)),A) != rd(X_47,mult(rd(A,X_47),X_47))
| ld(mult(A,rd(A,X_47)),A) = rd(X_47,A) ),
inference(resolve,[$cnf( $equal(rd(X_47,mult(rd(A,X_47),X_47)),rd(X_47,A)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A) != rd(X_47,mult(rd(A,X_47),X_47))
| ld(mult(A,rd(A,X_47)),A) = rd(X_47,A) ),
inference(resolve,[$cnf( $equal(ld(mult(A,rd(A,X_47)),A),rd(X_47,mult(rd(A,X_47),X_47))) )],[refute_0_42,refute_0_48]) ).
cnf(refute_0_50,plain,
ld(mult(A,rd(A,X_47)),A) = rd(X_47,A),
inference(resolve,[$cnf( $equal(ld(mult(mult(rd(A,X_47),X_47),rd(A,X_47)),A),rd(X_47,mult(rd(A,X_47),X_47))) )],[refute_0_32,refute_0_49]) ).
cnf(refute_0_51,plain,
ld(mult(A,rd(A,mult(mult(A,mult(rd(A,A),rd(A,A))),A))),A) = rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A),
inference(subst,[],[refute_0_50:[bind(X_47,$fot(mult(mult(A,mult(rd(A,A),rd(A,A))),A)))]]) ).
cnf(refute_0_52,plain,
rd(mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))),mult(X_42,mult(X_43,rd(X_41,X_42)))) = rd(X_41,X_42),
inference(subst,[],[f04:[bind(A,$fot(rd(X_41,X_42))),bind(B,$fot(mult(X_42,mult(X_43,rd(X_41,X_42)))))]]) ).
cnf(refute_0_53,plain,
mult(mult(mult(rd(A,X_13),X_13),X_14),rd(A,X_13)) = mult(rd(A,X_13),mult(X_13,mult(X_14,rd(A,X_13)))),
inference(subst,[],[f05:[bind(A,$fot(rd(A,X_13))),bind(B,$fot(X_13)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_54,plain,
mult(rd(A,X_13),X_13) = A,
inference(subst,[],[f03:[bind(B,$fot(X_13))]]) ).
cnf(refute_0_55,plain,
( mult(mult(mult(rd(A,X_13),X_13),X_14),rd(A,X_13)) != mult(rd(A,X_13),mult(X_13,mult(X_14,rd(A,X_13))))
| mult(rd(A,X_13),X_13) != A
| mult(mult(A,X_14),rd(A,X_13)) = mult(rd(A,X_13),mult(X_13,mult(X_14,rd(A,X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(rd(A,X_13),X_13),X_14),rd(A,X_13)),mult(rd(A,X_13),mult(X_13,mult(X_14,rd(A,X_13))))) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_56,plain,
( mult(mult(mult(rd(A,X_13),X_13),X_14),rd(A,X_13)) != mult(rd(A,X_13),mult(X_13,mult(X_14,rd(A,X_13))))
| mult(mult(A,X_14),rd(A,X_13)) = mult(rd(A,X_13),mult(X_13,mult(X_14,rd(A,X_13)))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_13),X_13),A) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
mult(mult(A,X_14),rd(A,X_13)) = mult(rd(A,X_13),mult(X_13,mult(X_14,rd(A,X_13)))),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(A,X_13),X_13),X_14),rd(A,X_13)),mult(rd(A,X_13),mult(X_13,mult(X_14,rd(A,X_13))))) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
mult(mult(X_41,X_43),rd(X_41,X_42)) = mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))),
inference(subst,[],[refute_0_57:[bind(A,$fot(X_41)),bind(X_13,$fot(X_42)),bind(X_14,$fot(X_43))]]) ).
cnf(refute_0_59,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_60,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_61,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( mult(mult(X_41,X_43),rd(X_41,X_42)) != mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42))))
| mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))) = mult(mult(X_41,X_43),rd(X_41,X_42)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(mult(X_41,X_43),rd(X_41,X_42)))),bind(Y,$fot(mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42))))))]]) ).
cnf(refute_0_63,plain,
mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))) = mult(mult(X_41,X_43),rd(X_41,X_42)),
inference(resolve,[$cnf( $equal(mult(mult(X_41,X_43),rd(X_41,X_42)),mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42))))) )],[refute_0_58,refute_0_62]) ).
cnf(refute_0_64,plain,
( mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))) != mult(mult(X_41,X_43),rd(X_41,X_42))
| rd(mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))),mult(X_42,mult(X_43,rd(X_41,X_42)))) != rd(X_41,X_42)
| rd(mult(mult(X_41,X_43),rd(X_41,X_42)),mult(X_42,mult(X_43,rd(X_41,X_42)))) = rd(X_41,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))),mult(X_42,mult(X_43,rd(X_41,X_42)))),rd(X_41,X_42)) ),[0,0],$fot(mult(mult(X_41,X_43),rd(X_41,X_42)))]]) ).
cnf(refute_0_65,plain,
( rd(mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))),mult(X_42,mult(X_43,rd(X_41,X_42)))) != rd(X_41,X_42)
| rd(mult(mult(X_41,X_43),rd(X_41,X_42)),mult(X_42,mult(X_43,rd(X_41,X_42)))) = rd(X_41,X_42) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))),mult(mult(X_41,X_43),rd(X_41,X_42))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
rd(mult(mult(X_41,X_43),rd(X_41,X_42)),mult(X_42,mult(X_43,rd(X_41,X_42)))) = rd(X_41,X_42),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_41,X_42),mult(X_42,mult(X_43,rd(X_41,X_42)))),mult(X_42,mult(X_43,rd(X_41,X_42)))),rd(X_41,X_42)) )],[refute_0_52,refute_0_65]) ).
cnf(refute_0_67,plain,
rd(mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) = rd(X_105,X_105),
inference(subst,[],[refute_0_66:[bind(X_41,$fot(X_105)),bind(X_42,$fot(X_105)),bind(X_43,$fot(rd(A,X_105)))]]) ).
cnf(refute_0_68,plain,
rd(mult(X_105,A),X_105) = mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)),
inference(subst,[],[refute_0_15:[bind(X_27,$fot(X_105)),bind(X_28,$fot(X_105))]]) ).
cnf(refute_0_69,plain,
( rd(mult(X_105,A),X_105) != mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105))
| mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)) = rd(mult(X_105,A),X_105) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(rd(mult(X_105,A),X_105))),bind(Y,$fot(mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105))))]]) ).
cnf(refute_0_70,plain,
mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)) = rd(mult(X_105,A),X_105),
inference(resolve,[$cnf( $equal(rd(mult(X_105,A),X_105),mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)) != rd(mult(X_105,A),X_105)
| rd(mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) != rd(X_105,X_105)
| rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) = rd(X_105,X_105) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))),rd(X_105,X_105)) ),[0,0],$fot(rd(mult(X_105,A),X_105))]]) ).
cnf(refute_0_72,plain,
( rd(mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) != rd(X_105,X_105)
| rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) = rd(X_105,X_105) ),
inference(resolve,[$cnf( $equal(mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)),rd(mult(X_105,A),X_105)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) = rd(X_105,X_105),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_105,rd(A,X_105)),rd(X_105,X_105)),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))),rd(X_105,X_105)) )],[refute_0_67,refute_0_72]) ).
cnf(refute_0_74,plain,
rd(mult(mult(X_45,rd(X_44,mult(B,X_45))),B),B) = mult(X_45,rd(X_44,mult(B,X_45))),
inference(subst,[],[f04:[bind(A,$fot(mult(X_45,rd(X_44,mult(B,X_45)))))]]) ).
cnf(refute_0_75,plain,
rd(mult(X_21,mult(rd(A,mult(X_23,X_21)),mult(X_23,X_21))),X_21) = mult(mult(X_21,rd(A,mult(X_23,X_21))),X_23),
inference(subst,[],[refute_0_5:[bind(B,$fot(X_21)),bind(X_13,$fot(rd(A,mult(X_23,X_21)))),bind(X_14,$fot(X_23))]]) ).
cnf(refute_0_76,plain,
mult(rd(A,mult(X_23,X_21)),mult(X_23,X_21)) = A,
inference(subst,[],[f03:[bind(B,$fot(mult(X_23,X_21)))]]) ).
cnf(refute_0_77,plain,
( mult(rd(A,mult(X_23,X_21)),mult(X_23,X_21)) != A
| rd(mult(X_21,mult(rd(A,mult(X_23,X_21)),mult(X_23,X_21))),X_21) != mult(mult(X_21,rd(A,mult(X_23,X_21))),X_23)
| rd(mult(X_21,A),X_21) = mult(mult(X_21,rd(A,mult(X_23,X_21))),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_21,mult(rd(A,mult(X_23,X_21)),mult(X_23,X_21))),X_21),mult(mult(X_21,rd(A,mult(X_23,X_21))),X_23)) ),[0,0,1],$fot(A)]]) ).
cnf(refute_0_78,plain,
( rd(mult(X_21,mult(rd(A,mult(X_23,X_21)),mult(X_23,X_21))),X_21) != mult(mult(X_21,rd(A,mult(X_23,X_21))),X_23)
| rd(mult(X_21,A),X_21) = mult(mult(X_21,rd(A,mult(X_23,X_21))),X_23) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_23,X_21)),mult(X_23,X_21)),A) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
rd(mult(X_21,A),X_21) = mult(mult(X_21,rd(A,mult(X_23,X_21))),X_23),
inference(resolve,[$cnf( $equal(rd(mult(X_21,mult(rd(A,mult(X_23,X_21)),mult(X_23,X_21))),X_21),mult(mult(X_21,rd(A,mult(X_23,X_21))),X_23)) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
rd(mult(X_45,X_44),X_45) = mult(mult(X_45,rd(X_44,mult(B,X_45))),B),
inference(subst,[],[refute_0_79:[bind(A,$fot(X_44)),bind(X_21,$fot(X_45)),bind(X_23,$fot(B))]]) ).
cnf(refute_0_81,plain,
( rd(mult(X_45,X_44),X_45) != mult(mult(X_45,rd(X_44,mult(B,X_45))),B)
| mult(mult(X_45,rd(X_44,mult(B,X_45))),B) = rd(mult(X_45,X_44),X_45) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(rd(mult(X_45,X_44),X_45))),bind(Y,$fot(mult(mult(X_45,rd(X_44,mult(B,X_45))),B)))]]) ).
cnf(refute_0_82,plain,
mult(mult(X_45,rd(X_44,mult(B,X_45))),B) = rd(mult(X_45,X_44),X_45),
inference(resolve,[$cnf( $equal(rd(mult(X_45,X_44),X_45),mult(mult(X_45,rd(X_44,mult(B,X_45))),B)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( mult(mult(X_45,rd(X_44,mult(B,X_45))),B) != rd(mult(X_45,X_44),X_45)
| rd(mult(mult(X_45,rd(X_44,mult(B,X_45))),B),B) != mult(X_45,rd(X_44,mult(B,X_45)))
| rd(rd(mult(X_45,X_44),X_45),B) = mult(X_45,rd(X_44,mult(B,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_45,rd(X_44,mult(B,X_45))),B),B),mult(X_45,rd(X_44,mult(B,X_45)))) ),[0,0],$fot(rd(mult(X_45,X_44),X_45))]]) ).
cnf(refute_0_84,plain,
( rd(mult(mult(X_45,rd(X_44,mult(B,X_45))),B),B) != mult(X_45,rd(X_44,mult(B,X_45)))
| rd(rd(mult(X_45,X_44),X_45),B) = mult(X_45,rd(X_44,mult(B,X_45))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_45,rd(X_44,mult(B,X_45))),B),rd(mult(X_45,X_44),X_45)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
rd(rd(mult(X_45,X_44),X_45),B) = mult(X_45,rd(X_44,mult(B,X_45))),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_45,rd(X_44,mult(B,X_45))),B),B),mult(X_45,rd(X_44,mult(B,X_45)))) )],[refute_0_74,refute_0_84]) ).
cnf(refute_0_86,plain,
rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) = mult(X_105,rd(A,mult(mult(X_105,mult(rd(A,X_105),rd(X_105,X_105))),X_105))),
inference(subst,[],[refute_0_85:[bind(B,$fot(mult(X_105,mult(rd(A,X_105),rd(X_105,X_105))))),bind(X_44,$fot(A)),bind(X_45,$fot(X_105))]]) ).
cnf(refute_0_87,plain,
( rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) != mult(X_105,rd(A,mult(mult(X_105,mult(rd(A,X_105),rd(X_105,X_105))),X_105)))
| rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) != rd(X_105,X_105)
| mult(X_105,rd(A,mult(mult(X_105,mult(rd(A,X_105),rd(X_105,X_105))),X_105))) = rd(X_105,X_105) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))),rd(X_105,X_105)) ),[0],$fot(mult(X_105,rd(A,mult(mult(X_105,mult(rd(A,X_105),rd(X_105,X_105))),X_105))))]]) ).
cnf(refute_0_88,plain,
( rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))) != rd(X_105,X_105)
| mult(X_105,rd(A,mult(mult(X_105,mult(rd(A,X_105),rd(X_105,X_105))),X_105))) = rd(X_105,X_105) ),
inference(resolve,[$cnf( $equal(rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))),mult(X_105,rd(A,mult(mult(X_105,mult(rd(A,X_105),rd(X_105,X_105))),X_105)))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
mult(X_105,rd(A,mult(mult(X_105,mult(rd(A,X_105),rd(X_105,X_105))),X_105))) = rd(X_105,X_105),
inference(resolve,[$cnf( $equal(rd(rd(mult(X_105,A),X_105),mult(X_105,mult(rd(A,X_105),rd(X_105,X_105)))),rd(X_105,X_105)) )],[refute_0_73,refute_0_88]) ).
cnf(refute_0_90,plain,
mult(A,rd(A,mult(mult(A,mult(rd(A,A),rd(A,A))),A))) = rd(A,A),
inference(subst,[],[refute_0_89:[bind(X_105,$fot(A))]]) ).
cnf(refute_0_91,plain,
( ld(mult(A,rd(A,mult(mult(A,mult(rd(A,A),rd(A,A))),A))),A) != rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)
| mult(A,rd(A,mult(mult(A,mult(rd(A,A),rd(A,A))),A))) != rd(A,A)
| ld(rd(A,A),A) = rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(A,rd(A,mult(mult(A,mult(rd(A,A),rd(A,A))),A))),A),rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)) ),[0,0],$fot(rd(A,A))]]) ).
cnf(refute_0_92,plain,
( ld(mult(A,rd(A,mult(mult(A,mult(rd(A,A),rd(A,A))),A))),A) != rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)
| ld(rd(A,A),A) = rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A) ),
inference(resolve,[$cnf( $equal(mult(A,rd(A,mult(mult(A,mult(rd(A,A),rd(A,A))),A))),rd(A,A)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
ld(rd(A,A),A) = rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A),
inference(resolve,[$cnf( $equal(ld(mult(A,rd(A,mult(mult(A,mult(rd(A,A),rd(A,A))),A))),A),rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)) )],[refute_0_51,refute_0_92]) ).
cnf(refute_0_94,plain,
ld(rd(X_4,B),mult(rd(X_4,B),B)) = B,
inference(subst,[],[f02:[bind(A,$fot(rd(X_4,B)))]]) ).
cnf(refute_0_95,plain,
mult(rd(X_4,B),B) = X_4,
inference(subst,[],[f03:[bind(A,$fot(X_4))]]) ).
cnf(refute_0_96,plain,
( ld(rd(X_4,B),mult(rd(X_4,B),B)) != B
| mult(rd(X_4,B),B) != X_4
| ld(rd(X_4,B),X_4) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_4,B),mult(rd(X_4,B),B)),B) ),[0,1],$fot(X_4)]]) ).
cnf(refute_0_97,plain,
( ld(rd(X_4,B),mult(rd(X_4,B),B)) != B
| ld(rd(X_4,B),X_4) = B ),
inference(resolve,[$cnf( $equal(mult(rd(X_4,B),B),X_4) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
ld(rd(X_4,B),X_4) = B,
inference(resolve,[$cnf( $equal(ld(rd(X_4,B),mult(rd(X_4,B),B)),B) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
ld(rd(A,A),A) = A,
inference(subst,[],[refute_0_98:[bind(B,$fot(A)),bind(X_4,$fot(A))]]) ).
cnf(refute_0_100,plain,
( ld(rd(A,A),A) != A
| ld(rd(A,A),A) != rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)
| A = rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(A,A),A),rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)) ),[0],$fot(A)]]) ).
cnf(refute_0_101,plain,
( ld(rd(A,A),A) != rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)
| A = rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A) ),
inference(resolve,[$cnf( $equal(ld(rd(A,A),A),A) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A) = mult(A,mult(rd(A,A),rd(A,A))),
inference(subst,[],[f04:[bind(A,$fot(mult(A,mult(rd(A,A),rd(A,A))))),bind(B,$fot(A))]]) ).
cnf(refute_0_103,plain,
( A != rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)
| rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A) != mult(A,mult(rd(A,A),rd(A,A)))
| A = mult(A,mult(rd(A,A),rd(A,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,mult(A,mult(rd(A,A),rd(A,A)))) ),[0],$fot(rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A))]]) ).
cnf(refute_0_104,plain,
( A != rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)
| A = mult(A,mult(rd(A,A),rd(A,A))) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A),mult(A,mult(rd(A,A),rd(A,A)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( ld(rd(A,A),A) != rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)
| A = mult(A,mult(rd(A,A),rd(A,A))) ),
inference(resolve,[$cnf( $equal(A,rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
A = mult(A,mult(rd(A,A),rd(A,A))),
inference(resolve,[$cnf( $equal(ld(rd(A,A),A),rd(mult(mult(A,mult(rd(A,A),rd(A,A))),A),A)) )],[refute_0_93,refute_0_105]) ).
cnf(refute_0_107,plain,
( A != mult(A,mult(rd(A,A),rd(A,A)))
| mult(A,mult(rd(A,A),rd(A,A))) = A ),
inference(subst,[],[refute_0_61:[bind(X,$fot(A)),bind(Y,$fot(mult(A,mult(rd(A,A),rd(A,A)))))]]) ).
cnf(refute_0_108,plain,
mult(A,mult(rd(A,A),rd(A,A))) = A,
inference(resolve,[$cnf( $equal(A,mult(A,mult(rd(A,A),rd(A,A)))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( ld(A,mult(A,mult(rd(A,A),rd(A,A)))) != mult(rd(A,A),rd(A,A))
| mult(A,mult(rd(A,A),rd(A,A))) != A
| ld(A,A) = mult(rd(A,A),rd(A,A)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(rd(A,A),rd(A,A)))),mult(rd(A,A),rd(A,A))) ),[0,1],$fot(A)]]) ).
cnf(refute_0_110,plain,
( ld(A,mult(A,mult(rd(A,A),rd(A,A)))) != mult(rd(A,A),rd(A,A))
| ld(A,A) = mult(rd(A,A),rd(A,A)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(rd(A,A),rd(A,A))),A) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
ld(A,A) = mult(rd(A,A),rd(A,A)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(rd(A,A),rd(A,A)))),mult(rd(A,A),rd(A,A))) )],[refute_0_17,refute_0_110]) ).
cnf(refute_0_112,plain,
ld(X_27,X_27) = mult(rd(X_27,X_27),rd(X_27,X_27)),
inference(subst,[],[refute_0_111:[bind(A,$fot(X_27))]]) ).
cnf(refute_0_113,plain,
( ld(X_27,X_27) != mult(rd(X_27,X_27),rd(X_27,X_27))
| mult(rd(X_27,X_27),rd(X_27,X_27)) = ld(X_27,X_27) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(X_27,X_27))),bind(Y,$fot(mult(rd(X_27,X_27),rd(X_27,X_27))))]]) ).
cnf(refute_0_114,plain,
mult(rd(X_27,X_27),rd(X_27,X_27)) = ld(X_27,X_27),
inference(resolve,[$cnf( $equal(ld(X_27,X_27),mult(rd(X_27,X_27),rd(X_27,X_27))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( mult(rd(X_27,X_27),rd(X_27,X_27)) != ld(X_27,X_27)
| rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) != mult(mult(rd(X_27,X_27),rd(X_27,X_27)),rd(X_27,rd(X_27,X_27)))
| rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) = mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)),mult(mult(rd(X_27,X_27),rd(X_27,X_27)),rd(X_27,rd(X_27,X_27)))) ),[1,0],$fot(ld(X_27,X_27))]]) ).
cnf(refute_0_116,plain,
( rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) != mult(mult(rd(X_27,X_27),rd(X_27,X_27)),rd(X_27,rd(X_27,X_27)))
| rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) = mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_27,X_27),rd(X_27,X_27)),ld(X_27,X_27)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) = mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)),mult(mult(rd(X_27,X_27),rd(X_27,X_27)),rd(X_27,rd(X_27,X_27)))) )],[refute_0_16,refute_0_116]) ).
cnf(refute_0_118,plain,
rd(mult(X_28,mult(X_29,ld(X_29,B))),X_28) = mult(mult(X_28,X_29),rd(ld(X_29,B),X_28)),
inference(subst,[],[refute_0_10:[bind(A,$fot(ld(X_29,B))),bind(X_21,$fot(X_28)),bind(X_22,$fot(X_29))]]) ).
cnf(refute_0_119,plain,
mult(X_29,ld(X_29,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_29))]]) ).
cnf(refute_0_120,plain,
( mult(X_29,ld(X_29,B)) != B
| rd(mult(X_28,mult(X_29,ld(X_29,B))),X_28) != mult(mult(X_28,X_29),rd(ld(X_29,B),X_28))
| rd(mult(X_28,B),X_28) = mult(mult(X_28,X_29),rd(ld(X_29,B),X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_28,mult(X_29,ld(X_29,B))),X_28),mult(mult(X_28,X_29),rd(ld(X_29,B),X_28))) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_121,plain,
( rd(mult(X_28,mult(X_29,ld(X_29,B))),X_28) != mult(mult(X_28,X_29),rd(ld(X_29,B),X_28))
| rd(mult(X_28,B),X_28) = mult(mult(X_28,X_29),rd(ld(X_29,B),X_28)) ),
inference(resolve,[$cnf( $equal(mult(X_29,ld(X_29,B)),B) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
rd(mult(X_28,B),X_28) = mult(mult(X_28,X_29),rd(ld(X_29,B),X_28)),
inference(resolve,[$cnf( $equal(rd(mult(X_28,mult(X_29,ld(X_29,B))),X_28),mult(mult(X_28,X_29),rd(ld(X_29,B),X_28))) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))),
inference(subst,[],[refute_0_122:[bind(B,$fot(rd(X_111,X_111))),bind(X_28,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_124,plain,
ld(X_111,X_111) = mult(rd(X_111,X_111),rd(X_111,X_111)),
inference(subst,[],[refute_0_111:[bind(A,$fot(X_111))]]) ).
cnf(refute_0_125,plain,
( ld(X_111,X_111) != mult(rd(X_111,X_111),rd(X_111,X_111))
| mult(rd(X_111,X_111),rd(X_111,X_111)) = ld(X_111,X_111) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(X_111,X_111))),bind(Y,$fot(mult(rd(X_111,X_111),rd(X_111,X_111))))]]) ).
cnf(refute_0_126,plain,
mult(rd(X_111,X_111),rd(X_111,X_111)) = ld(X_111,X_111),
inference(resolve,[$cnf( $equal(ld(X_111,X_111),mult(rd(X_111,X_111),rd(X_111,X_111))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( mult(rd(X_111,X_111),rd(X_111,X_111)) != ld(X_111,X_111)
| rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111)))
| rd(ld(X_111,X_111),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111)))) ),[0,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_128,plain,
( rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111)))
| rd(ld(X_111,X_111),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(X_111,X_111)),ld(X_111,X_111)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
rd(ld(X_111,X_111),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111)))) )],[refute_0_123,refute_0_128]) ).
cnf(refute_0_130,plain,
mult(X_111,ld(X_111,rd(X_111,X_111))) = rd(X_111,X_111),
inference(subst,[],[f01:[bind(A,$fot(X_111)),bind(B,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_131,plain,
mult(rd(X_111,X_111),X_111) = X_111,
inference(subst,[],[f03:[bind(A,$fot(X_111)),bind(B,$fot(X_111))]]) ).
cnf(refute_0_132,plain,
ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)) = ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)))]]) ).
cnf(refute_0_133,plain,
( ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)) != ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111))
| mult(rd(X_111,X_111),X_111) != X_111
| ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)) = ld(X_111,rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)),ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111))) ),[1,0],$fot(X_111)]]) ).
cnf(refute_0_134,plain,
( mult(rd(X_111,X_111),X_111) != X_111
| ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)) = ld(X_111,rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)),ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)) = ld(X_111,rd(X_111,X_111)),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),X_111),X_111) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
ld(mult(mult(X_48,ld(X_48,B)),X_48),mult(X_48,ld(X_48,B))) = rd(ld(X_48,B),mult(X_48,ld(X_48,B))),
inference(subst,[],[refute_0_27:[bind(X_30,$fot(ld(X_48,B))),bind(X_31,$fot(X_48))]]) ).
cnf(refute_0_137,plain,
mult(X_48,ld(X_48,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_48))]]) ).
cnf(refute_0_138,plain,
( ld(mult(mult(X_48,ld(X_48,B)),X_48),mult(X_48,ld(X_48,B))) != rd(ld(X_48,B),mult(X_48,ld(X_48,B)))
| mult(X_48,ld(X_48,B)) != B
| ld(mult(mult(X_48,ld(X_48,B)),X_48),B) = rd(ld(X_48,B),mult(X_48,ld(X_48,B))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(X_48,ld(X_48,B)),X_48),mult(X_48,ld(X_48,B))),rd(ld(X_48,B),mult(X_48,ld(X_48,B)))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_139,plain,
( ld(mult(mult(X_48,ld(X_48,B)),X_48),mult(X_48,ld(X_48,B))) != rd(ld(X_48,B),mult(X_48,ld(X_48,B)))
| ld(mult(mult(X_48,ld(X_48,B)),X_48),B) = rd(ld(X_48,B),mult(X_48,ld(X_48,B))) ),
inference(resolve,[$cnf( $equal(mult(X_48,ld(X_48,B)),B) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
ld(mult(mult(X_48,ld(X_48,B)),X_48),B) = rd(ld(X_48,B),mult(X_48,ld(X_48,B))),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_48,ld(X_48,B)),X_48),mult(X_48,ld(X_48,B))),rd(ld(X_48,B),mult(X_48,ld(X_48,B)))) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
mult(mult(X_48,ld(X_48,B)),X_48) = mult(mult(X_48,ld(X_48,B)),X_48),
introduced(tautology,[refl,[$fot(mult(mult(X_48,ld(X_48,B)),X_48))]]) ).
cnf(refute_0_142,plain,
( mult(X_48,ld(X_48,B)) != B
| mult(mult(X_48,ld(X_48,B)),X_48) != mult(mult(X_48,ld(X_48,B)),X_48)
| mult(mult(X_48,ld(X_48,B)),X_48) = mult(B,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_48,ld(X_48,B)),X_48),mult(mult(X_48,ld(X_48,B)),X_48)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_143,plain,
( mult(X_48,ld(X_48,B)) != B
| mult(mult(X_48,ld(X_48,B)),X_48) = mult(B,X_48) ),
inference(resolve,[$cnf( $equal(mult(mult(X_48,ld(X_48,B)),X_48),mult(mult(X_48,ld(X_48,B)),X_48)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
mult(mult(X_48,ld(X_48,B)),X_48) = mult(B,X_48),
inference(resolve,[$cnf( $equal(mult(X_48,ld(X_48,B)),B) )],[refute_0_137,refute_0_143]) ).
cnf(refute_0_145,plain,
ld(mult(mult(X_48,ld(X_48,B)),X_48),B) = ld(mult(mult(X_48,ld(X_48,B)),X_48),B),
introduced(tautology,[refl,[$fot(ld(mult(mult(X_48,ld(X_48,B)),X_48),B))]]) ).
cnf(refute_0_146,plain,
( ld(mult(mult(X_48,ld(X_48,B)),X_48),B) != ld(mult(mult(X_48,ld(X_48,B)),X_48),B)
| mult(mult(X_48,ld(X_48,B)),X_48) != mult(B,X_48)
| ld(mult(mult(X_48,ld(X_48,B)),X_48),B) = ld(mult(B,X_48),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(X_48,ld(X_48,B)),X_48),B),ld(mult(mult(X_48,ld(X_48,B)),X_48),B)) ),[1,0],$fot(mult(B,X_48))]]) ).
cnf(refute_0_147,plain,
( mult(mult(X_48,ld(X_48,B)),X_48) != mult(B,X_48)
| ld(mult(mult(X_48,ld(X_48,B)),X_48),B) = ld(mult(B,X_48),B) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_48,ld(X_48,B)),X_48),B),ld(mult(mult(X_48,ld(X_48,B)),X_48),B)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
ld(mult(mult(X_48,ld(X_48,B)),X_48),B) = ld(mult(B,X_48),B),
inference(resolve,[$cnf( $equal(mult(mult(X_48,ld(X_48,B)),X_48),mult(B,X_48)) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
( ld(mult(mult(X_48,ld(X_48,B)),X_48),B) != ld(mult(B,X_48),B)
| ld(mult(mult(X_48,ld(X_48,B)),X_48),B) != rd(ld(X_48,B),mult(X_48,ld(X_48,B)))
| ld(mult(B,X_48),B) = rd(ld(X_48,B),mult(X_48,ld(X_48,B))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(X_48,ld(X_48,B)),X_48),B),rd(ld(X_48,B),mult(X_48,ld(X_48,B)))) ),[0],$fot(ld(mult(B,X_48),B))]]) ).
cnf(refute_0_150,plain,
( ld(mult(mult(X_48,ld(X_48,B)),X_48),B) != rd(ld(X_48,B),mult(X_48,ld(X_48,B)))
| ld(mult(B,X_48),B) = rd(ld(X_48,B),mult(X_48,ld(X_48,B))) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_48,ld(X_48,B)),X_48),B),ld(mult(B,X_48),B)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
rd(ld(X_48,B),mult(X_48,ld(X_48,B))) = rd(ld(X_48,B),mult(X_48,ld(X_48,B))),
introduced(tautology,[refl,[$fot(rd(ld(X_48,B),mult(X_48,ld(X_48,B))))]]) ).
cnf(refute_0_152,plain,
( mult(X_48,ld(X_48,B)) != B
| rd(ld(X_48,B),mult(X_48,ld(X_48,B))) != rd(ld(X_48,B),mult(X_48,ld(X_48,B)))
| rd(ld(X_48,B),mult(X_48,ld(X_48,B))) = rd(ld(X_48,B),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_48,B),mult(X_48,ld(X_48,B))),rd(ld(X_48,B),mult(X_48,ld(X_48,B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_153,plain,
( mult(X_48,ld(X_48,B)) != B
| rd(ld(X_48,B),mult(X_48,ld(X_48,B))) = rd(ld(X_48,B),B) ),
inference(resolve,[$cnf( $equal(rd(ld(X_48,B),mult(X_48,ld(X_48,B))),rd(ld(X_48,B),mult(X_48,ld(X_48,B)))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
rd(ld(X_48,B),mult(X_48,ld(X_48,B))) = rd(ld(X_48,B),B),
inference(resolve,[$cnf( $equal(mult(X_48,ld(X_48,B)),B) )],[refute_0_137,refute_0_153]) ).
cnf(refute_0_155,plain,
( ld(mult(B,X_48),B) != rd(ld(X_48,B),mult(X_48,ld(X_48,B)))
| rd(ld(X_48,B),mult(X_48,ld(X_48,B))) != rd(ld(X_48,B),B)
| ld(mult(B,X_48),B) = rd(ld(X_48,B),B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(mult(B,X_48),B),rd(ld(X_48,B),B)) ),[0],$fot(rd(ld(X_48,B),mult(X_48,ld(X_48,B))))]]) ).
cnf(refute_0_156,plain,
( ld(mult(B,X_48),B) != rd(ld(X_48,B),mult(X_48,ld(X_48,B)))
| ld(mult(B,X_48),B) = rd(ld(X_48,B),B) ),
inference(resolve,[$cnf( $equal(rd(ld(X_48,B),mult(X_48,ld(X_48,B))),rd(ld(X_48,B),B)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( ld(mult(mult(X_48,ld(X_48,B)),X_48),B) != rd(ld(X_48,B),mult(X_48,ld(X_48,B)))
| ld(mult(B,X_48),B) = rd(ld(X_48,B),B) ),
inference(resolve,[$cnf( $equal(ld(mult(B,X_48),B),rd(ld(X_48,B),mult(X_48,ld(X_48,B)))) )],[refute_0_150,refute_0_156]) ).
cnf(refute_0_158,plain,
ld(mult(B,X_48),B) = rd(ld(X_48,B),B),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_48,ld(X_48,B)),X_48),B),rd(ld(X_48,B),mult(X_48,ld(X_48,B)))) )],[refute_0_140,refute_0_157]) ).
cnf(refute_0_159,plain,
( ld(mult(B,X_48),B) != rd(ld(X_48,B),B)
| rd(ld(X_48,B),B) = ld(mult(B,X_48),B) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(mult(B,X_48),B))),bind(Y,$fot(rd(ld(X_48,B),B)))]]) ).
cnf(refute_0_160,plain,
rd(ld(X_48,B),B) = ld(mult(B,X_48),B),
inference(resolve,[$cnf( $equal(ld(mult(B,X_48),B),rd(ld(X_48,B),B)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)) = ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)),
inference(subst,[],[refute_0_160:[bind(B,$fot(rd(X_111,X_111))),bind(X_48,$fot(X_111))]]) ).
cnf(refute_0_162,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_163,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_61,refute_0_162]) ).
cnf(refute_0_164,plain,
( ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)) != ld(X_111,rd(X_111,X_111))
| rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)) != ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111))
| rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)) = ld(X_111,rd(X_111,X_111)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))),bind(Y,$fot(ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)))),bind(Z,$fot(ld(X_111,rd(X_111,X_111))))]]) ).
cnf(refute_0_165,plain,
( ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)) != ld(X_111,rd(X_111,X_111))
| rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)) = ld(X_111,rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)),ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)) = ld(X_111,rd(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_111,X_111),X_111),rd(X_111,X_111)),ld(X_111,rd(X_111,X_111))) )],[refute_0_135,refute_0_165]) ).
cnf(refute_0_167,plain,
mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))))]]) ).
cnf(refute_0_168,plain,
( mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) != mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))
| rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)) != ld(X_111,rd(X_111,X_111))
| mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) = mult(X_111,ld(X_111,rd(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))) ),[1,1],$fot(ld(X_111,rd(X_111,X_111)))]]) ).
cnf(refute_0_169,plain,
( rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)) != ld(X_111,rd(X_111,X_111))
| mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) = mult(X_111,ld(X_111,rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) = mult(X_111,ld(X_111,rd(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)),ld(X_111,rd(X_111,X_111))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( mult(X_111,ld(X_111,rd(X_111,X_111))) != rd(X_111,X_111)
| mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) != mult(X_111,ld(X_111,rd(X_111,X_111)))
| mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) = rd(X_111,X_111) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))))),bind(Y,$fot(mult(X_111,ld(X_111,rd(X_111,X_111))))),bind(Z,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_172,plain,
( mult(X_111,ld(X_111,rd(X_111,X_111))) != rd(X_111,X_111)
| mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) = rd(X_111,X_111) ),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))),mult(X_111,ld(X_111,rd(X_111,X_111)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) = rd(X_111,X_111),
inference(resolve,[$cnf( $equal(mult(X_111,ld(X_111,rd(X_111,X_111))),rd(X_111,X_111)) )],[refute_0_130,refute_0_172]) ).
cnf(refute_0_174,plain,
rd(mult(rd(A,X_61),X_59),rd(A,X_61)) = mult(mult(rd(A,X_61),X_61),rd(ld(X_61,X_59),rd(A,X_61))),
inference(subst,[],[refute_0_122:[bind(B,$fot(X_59)),bind(X_28,$fot(rd(A,X_61))),bind(X_29,$fot(X_61))]]) ).
cnf(refute_0_175,plain,
mult(rd(A,X_61),X_61) = A,
inference(subst,[],[f03:[bind(B,$fot(X_61))]]) ).
cnf(refute_0_176,plain,
( mult(rd(A,X_61),X_61) != A
| rd(mult(rd(A,X_61),X_59),rd(A,X_61)) != mult(mult(rd(A,X_61),X_61),rd(ld(X_61,X_59),rd(A,X_61)))
| rd(mult(rd(A,X_61),X_59),rd(A,X_61)) = mult(A,rd(ld(X_61,X_59),rd(A,X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_61),X_59),rd(A,X_61)),mult(mult(rd(A,X_61),X_61),rd(ld(X_61,X_59),rd(A,X_61)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_177,plain,
( rd(mult(rd(A,X_61),X_59),rd(A,X_61)) != mult(mult(rd(A,X_61),X_61),rd(ld(X_61,X_59),rd(A,X_61)))
| rd(mult(rd(A,X_61),X_59),rd(A,X_61)) = mult(A,rd(ld(X_61,X_59),rd(A,X_61))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_61),X_61),A) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
rd(mult(rd(A,X_61),X_59),rd(A,X_61)) = mult(A,rd(ld(X_61,X_59),rd(A,X_61))),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_61),X_59),rd(A,X_61)),mult(mult(rd(A,X_61),X_61),rd(ld(X_61,X_59),rd(A,X_61)))) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)) = mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))),
inference(subst,[],[refute_0_178:[bind(A,$fot(X_111)),bind(X_59,$fot(rd(X_111,X_111))),bind(X_61,$fot(X_111))]]) ).
cnf(refute_0_180,plain,
( rd(mult(X_28,B),X_28) != mult(mult(X_28,X_29),rd(ld(X_29,B),X_28))
| mult(mult(X_28,X_29),rd(ld(X_29,B),X_28)) = rd(mult(X_28,B),X_28) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(rd(mult(X_28,B),X_28))),bind(Y,$fot(mult(mult(X_28,X_29),rd(ld(X_29,B),X_28))))]]) ).
cnf(refute_0_181,plain,
mult(mult(X_28,X_29),rd(ld(X_29,B),X_28)) = rd(mult(X_28,B),X_28),
inference(resolve,[$cnf( $equal(rd(mult(X_28,B),X_28),mult(mult(X_28,X_29),rd(ld(X_29,B),X_28))) )],[refute_0_122,refute_0_180]) ).
cnf(refute_0_182,plain,
mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) = rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)),
inference(subst,[],[refute_0_181:[bind(B,$fot(rd(X_111,X_111))),bind(X_28,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_183,plain,
( mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) != rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111))
| rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)) != mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))
| mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))))),bind(Y,$fot(rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)))),bind(Z,$fot(mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))))]]) ).
cnf(refute_0_184,plain,
( rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)) != mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))
| mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))),rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(X_111,X_111)),mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))) )],[refute_0_179,refute_0_184]) ).
cnf(refute_0_186,plain,
( mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) != rd(X_111,X_111)
| mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) != mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))
| mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) = rd(X_111,X_111) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))))),bind(Y,$fot(mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))))),bind(Z,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_187,plain,
( mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))) != rd(X_111,X_111)
| mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) = rd(X_111,X_111) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111)))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) = rd(X_111,X_111),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,rd(X_111,X_111)),rd(X_111,X_111))),rd(X_111,X_111)) )],[refute_0_173,refute_0_187]) ).
cnf(refute_0_189,plain,
( mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))) != rd(X_111,X_111)
| rd(ld(X_111,X_111),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111)))
| rd(ld(X_111,X_111),rd(X_111,X_111)) = rd(X_111,X_111) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_111,X_111),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111)))) ),[1],$fot(rd(X_111,X_111))]]) ).
cnf(refute_0_190,plain,
( rd(ld(X_111,X_111),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111)))
| rd(ld(X_111,X_111),rd(X_111,X_111)) = rd(X_111,X_111) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111))),rd(X_111,X_111)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
rd(ld(X_111,X_111),rd(X_111,X_111)) = rd(X_111,X_111),
inference(resolve,[$cnf( $equal(rd(ld(X_111,X_111),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),X_29),rd(ld(X_29,rd(X_111,X_111)),rd(X_111,X_111)))) )],[refute_0_129,refute_0_190]) ).
cnf(refute_0_192,plain,
rd(ld(X_27,X_27),rd(X_27,X_27)) = rd(X_27,X_27),
inference(subst,[],[refute_0_191:[bind(X_111,$fot(X_27))]]) ).
cnf(refute_0_193,plain,
mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))) = mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))),
introduced(tautology,[refl,[$fot(mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))))]]) ).
cnf(refute_0_194,plain,
( mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))) != mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27)))
| rd(ld(X_27,X_27),rd(X_27,X_27)) != rd(X_27,X_27)
| mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))) = mult(X_27,rd(X_27,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))),mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27)))) ),[1,1],$fot(rd(X_27,X_27))]]) ).
cnf(refute_0_195,plain,
( rd(ld(X_27,X_27),rd(X_27,X_27)) != rd(X_27,X_27)
| mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))) = mult(X_27,rd(X_27,X_27)) ),
inference(resolve,[$cnf( $equal(mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))),mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27)))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))) = mult(X_27,rd(X_27,X_27)),
inference(resolve,[$cnf( $equal(rd(ld(X_27,X_27),rd(X_27,X_27)),rd(X_27,X_27)) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) = mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))),
inference(subst,[],[refute_0_178:[bind(A,$fot(X_27)),bind(X_59,$fot(X_27)),bind(X_61,$fot(X_27))]]) ).
cnf(refute_0_198,plain,
( mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))) != mult(X_27,rd(X_27,X_27))
| rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) != mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27)))
| rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) = mult(X_27,rd(X_27,X_27)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)))),bind(Y,$fot(mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))))),bind(Z,$fot(mult(X_27,rd(X_27,X_27))))]]) ).
cnf(refute_0_199,plain,
( mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))) != mult(X_27,rd(X_27,X_27))
| rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) = mult(X_27,rd(X_27,X_27)) ),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)),mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27)))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) = mult(X_27,rd(X_27,X_27)),
inference(resolve,[$cnf( $equal(mult(X_27,rd(ld(X_27,X_27),rd(X_27,X_27))),mult(X_27,rd(X_27,X_27))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) != mult(X_27,rd(X_27,X_27))
| rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) != mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))
| mult(X_27,rd(X_27,X_27)) = mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)),mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))) ),[0],$fot(mult(X_27,rd(X_27,X_27)))]]) ).
cnf(refute_0_202,plain,
( rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) != mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))
| mult(X_27,rd(X_27,X_27)) = mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) ),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)),mult(X_27,rd(X_27,X_27))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) = X_8,
inference(subst,[],[f04:[bind(A,$fot(X_8)),bind(B,$fot(ld(X_8,B)))]]) ).
cnf(refute_0_204,plain,
mult(X_8,ld(X_8,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_205,plain,
( mult(X_8,ld(X_8,B)) != B
| rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) != X_8
| rd(B,ld(X_8,B)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_8,ld(X_8,B)),ld(X_8,B)),X_8) ),[0,0],$fot(B)]]) ).
cnf(refute_0_206,plain,
( rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) != X_8
| rd(B,ld(X_8,B)) = X_8 ),
inference(resolve,[$cnf( $equal(mult(X_8,ld(X_8,B)),B) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
rd(B,ld(X_8,B)) = X_8,
inference(resolve,[$cnf( $equal(rd(mult(X_8,ld(X_8,B)),ld(X_8,B)),X_8) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
rd(B,ld(mult(B,rd(B,X_50)),B)) = mult(B,rd(B,X_50)),
inference(subst,[],[refute_0_207:[bind(X_8,$fot(mult(B,rd(B,X_50))))]]) ).
cnf(refute_0_209,plain,
ld(mult(B,rd(B,X_50)),B) = rd(X_50,B),
inference(subst,[],[refute_0_50:[bind(A,$fot(B)),bind(X_47,$fot(X_50))]]) ).
cnf(refute_0_210,plain,
( ld(mult(B,rd(B,X_50)),B) != rd(X_50,B)
| rd(B,ld(mult(B,rd(B,X_50)),B)) != mult(B,rd(B,X_50))
| rd(B,rd(X_50,B)) = mult(B,rd(B,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(B,ld(mult(B,rd(B,X_50)),B)),mult(B,rd(B,X_50))) ),[0,1],$fot(rd(X_50,B))]]) ).
cnf(refute_0_211,plain,
( rd(B,ld(mult(B,rd(B,X_50)),B)) != mult(B,rd(B,X_50))
| rd(B,rd(X_50,B)) = mult(B,rd(B,X_50)) ),
inference(resolve,[$cnf( $equal(ld(mult(B,rd(B,X_50)),B),rd(X_50,B)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
rd(B,rd(X_50,B)) = mult(B,rd(B,X_50)),
inference(resolve,[$cnf( $equal(rd(B,ld(mult(B,rd(B,X_50)),B)),mult(B,rd(B,X_50))) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
rd(X_27,rd(X_27,X_27)) = mult(X_27,rd(X_27,X_27)),
inference(subst,[],[refute_0_212:[bind(B,$fot(X_27)),bind(X_50,$fot(X_27))]]) ).
cnf(refute_0_214,plain,
mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) = mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))),
introduced(tautology,[refl,[$fot(mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))))]]) ).
cnf(refute_0_215,plain,
( mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) != mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))
| rd(X_27,rd(X_27,X_27)) != mult(X_27,rd(X_27,X_27))
| mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) = mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))),mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))) ),[1,1],$fot(mult(X_27,rd(X_27,X_27)))]]) ).
cnf(refute_0_216,plain,
( rd(X_27,rd(X_27,X_27)) != mult(X_27,rd(X_27,X_27))
| mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) = mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))),mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) = mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27))),
inference(resolve,[$cnf( $equal(rd(X_27,rd(X_27,X_27)),mult(X_27,rd(X_27,X_27))) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
( mult(X_27,rd(X_27,X_27)) != mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))
| mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))) != mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27)))
| mult(X_27,rd(X_27,X_27)) = mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_27,rd(X_27,X_27)),mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27)))) ),[0],$fot(mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))))]]) ).
cnf(refute_0_219,plain,
( mult(X_27,rd(X_27,X_27)) != mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))
| mult(X_27,rd(X_27,X_27)) = mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27))),mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)) != mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))
| mult(X_27,rd(X_27,X_27)) = mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27))) ),
inference(resolve,[$cnf( $equal(mult(X_27,rd(X_27,X_27)),mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))) )],[refute_0_202,refute_0_219]) ).
cnf(refute_0_221,plain,
mult(X_27,rd(X_27,X_27)) = mult(ld(X_27,X_27),mult(X_27,rd(X_27,X_27))),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_27,X_27),X_27),rd(X_27,X_27)),mult(ld(X_27,X_27),rd(X_27,rd(X_27,X_27)))) )],[refute_0_117,refute_0_220]) ).
cnf(refute_0_222,plain,
mult(X_115,rd(X_115,X_115)) = mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),
inference(subst,[],[refute_0_221:[bind(X_27,$fot(X_115))]]) ).
cnf(refute_0_223,plain,
( mult(X_115,rd(X_115,X_115)) != mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115)))
| mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))) = mult(X_115,rd(X_115,X_115)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_115,rd(X_115,X_115)))),bind(Y,$fot(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115)))))]]) ).
cnf(refute_0_224,plain,
mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))) = mult(X_115,rd(X_115,X_115)),
inference(resolve,[$cnf( $equal(mult(X_115,rd(X_115,X_115)),mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115)))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
( mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))) != mult(X_115,rd(X_115,X_115))
| rd(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),mult(X_115,rd(X_115,X_115))) != ld(X_115,X_115)
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = ld(X_115,X_115) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),mult(X_115,rd(X_115,X_115))),ld(X_115,X_115)) ),[0,0],$fot(mult(X_115,rd(X_115,X_115)))]]) ).
cnf(refute_0_226,plain,
( rd(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),mult(X_115,rd(X_115,X_115))) != ld(X_115,X_115)
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = ld(X_115,X_115) ),
inference(resolve,[$cnf( $equal(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),mult(X_115,rd(X_115,X_115))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = ld(X_115,X_115),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),mult(X_115,rd(X_115,X_115))),ld(X_115,X_115)) )],[refute_0_0,refute_0_226]) ).
cnf(refute_0_228,plain,
rd(mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)),rd(rd(X_110,X_110),X_110)) = mult(X_110,rd(X_110,X_110)),
inference(subst,[],[f04:[bind(A,$fot(mult(X_110,rd(X_110,X_110)))),bind(B,$fot(rd(rd(X_110,X_110),X_110)))]]) ).
cnf(refute_0_229,plain,
ld(mult(X_51,mult(X_51,rd(X_51,X_47))),X_51) = rd(ld(mult(X_51,rd(X_51,X_47)),X_51),X_51),
inference(subst,[],[refute_0_158:[bind(B,$fot(X_51)),bind(X_48,$fot(mult(X_51,rd(X_51,X_47))))]]) ).
cnf(refute_0_230,plain,
ld(mult(X_51,rd(X_51,X_47)),X_51) = rd(X_47,X_51),
inference(subst,[],[refute_0_50:[bind(A,$fot(X_51))]]) ).
cnf(refute_0_231,plain,
( ld(mult(X_51,mult(X_51,rd(X_51,X_47))),X_51) != rd(ld(mult(X_51,rd(X_51,X_47)),X_51),X_51)
| ld(mult(X_51,rd(X_51,X_47)),X_51) != rd(X_47,X_51)
| ld(mult(X_51,mult(X_51,rd(X_51,X_47))),X_51) = rd(rd(X_47,X_51),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_51,mult(X_51,rd(X_51,X_47))),X_51),rd(ld(mult(X_51,rd(X_51,X_47)),X_51),X_51)) ),[1,0],$fot(rd(X_47,X_51))]]) ).
cnf(refute_0_232,plain,
( ld(mult(X_51,mult(X_51,rd(X_51,X_47))),X_51) != rd(ld(mult(X_51,rd(X_51,X_47)),X_51),X_51)
| ld(mult(X_51,mult(X_51,rd(X_51,X_47))),X_51) = rd(rd(X_47,X_51),X_51) ),
inference(resolve,[$cnf( $equal(ld(mult(X_51,rd(X_51,X_47)),X_51),rd(X_47,X_51)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
ld(mult(X_51,mult(X_51,rd(X_51,X_47))),X_51) = rd(rd(X_47,X_51),X_51),
inference(resolve,[$cnf( $equal(ld(mult(X_51,mult(X_51,rd(X_51,X_47))),X_51),rd(ld(mult(X_51,rd(X_51,X_47)),X_51),X_51)) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
ld(mult(X_51,mult(X_51,rd(X_51,mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51)))),X_51) = rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51),
inference(subst,[],[refute_0_233:[bind(X_47,$fot(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51)))]]) ).
cnf(refute_0_235,plain,
mult(X_51,rd(X_51,mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51))) = rd(X_51,X_51),
inference(subst,[],[refute_0_89:[bind(A,$fot(X_51)),bind(X_105,$fot(X_51))]]) ).
cnf(refute_0_236,plain,
( ld(mult(X_51,mult(X_51,rd(X_51,mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51)))),X_51) != rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)
| mult(X_51,rd(X_51,mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51))) != rd(X_51,X_51)
| ld(mult(X_51,rd(X_51,X_51)),X_51) = rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_51,mult(X_51,rd(X_51,mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51)))),X_51),rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)) ),[0,0,1],$fot(rd(X_51,X_51))]]) ).
cnf(refute_0_237,plain,
( ld(mult(X_51,mult(X_51,rd(X_51,mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51)))),X_51) != rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)
| ld(mult(X_51,rd(X_51,X_51)),X_51) = rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) ),
inference(resolve,[$cnf( $equal(mult(X_51,rd(X_51,mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51))),rd(X_51,X_51)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
ld(mult(X_51,rd(X_51,X_51)),X_51) = rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51),
inference(resolve,[$cnf( $equal(ld(mult(X_51,mult(X_51,rd(X_51,mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51)))),X_51),rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
ld(mult(X_51,rd(X_51,X_51)),X_51) = rd(X_51,X_51),
inference(subst,[],[refute_0_50:[bind(A,$fot(X_51)),bind(X_47,$fot(X_51))]]) ).
cnf(refute_0_240,plain,
( ld(mult(X_51,rd(X_51,X_51)),X_51) != rd(X_51,X_51)
| ld(mult(X_51,rd(X_51,X_51)),X_51) != rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)
| rd(X_51,X_51) = rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_51,rd(X_51,X_51)),X_51),rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)) ),[0],$fot(rd(X_51,X_51))]]) ).
cnf(refute_0_241,plain,
( ld(mult(X_51,rd(X_51,X_51)),X_51) != rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)
| rd(X_51,X_51) = rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) ),
inference(resolve,[$cnf( $equal(ld(mult(X_51,rd(X_51,X_51)),X_51),rd(X_51,X_51)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51) = mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51)),
inference(subst,[],[refute_0_10:[bind(A,$fot(rd(X_51,X_51))),bind(X_21,$fot(X_51)),bind(X_22,$fot(rd(X_51,X_51)))]]) ).
cnf(refute_0_243,plain,
rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51) = mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),
inference(subst,[],[f04:[bind(A,$fot(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))))),bind(B,$fot(X_51))]]) ).
cnf(refute_0_244,plain,
rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) = rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51),
introduced(tautology,[refl,[$fot(rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51))]]) ).
cnf(refute_0_245,plain,
( rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51) != mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51)))
| rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) != rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)
| rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) = rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51),rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)) ),[1,0],$fot(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))))]]) ).
cnf(refute_0_246,plain,
( rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51) != mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51)))
| rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) = rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51) ),
inference(resolve,[$cnf( $equal(rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51),rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) = rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51)))) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
( rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51) != mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51))
| rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) != rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51)
| rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) = mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51))),bind(Y,$fot(rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51))),bind(Z,$fot(mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51))))]]) ).
cnf(refute_0_249,plain,
( rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51) != mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51))
| rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) = mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51)) ),
inference(resolve,[$cnf( $equal(rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51),rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) = mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51)),
inference(resolve,[$cnf( $equal(rd(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51))) )],[refute_0_242,refute_0_249]) ).
cnf(refute_0_251,plain,
( rd(X_51,X_51) != rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)
| rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51) != mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51))
| rd(X_51,X_51) = mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(rd(X_51,X_51),mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51))) ),[0],$fot(rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51))]]) ).
cnf(refute_0_252,plain,
( rd(X_51,X_51) != rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)
| rd(X_51,X_51) = mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51)) ),
inference(resolve,[$cnf( $equal(rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51),mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( ld(mult(X_51,rd(X_51,X_51)),X_51) != rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)
| rd(X_51,X_51) = mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51)) ),
inference(resolve,[$cnf( $equal(rd(X_51,X_51),rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)) )],[refute_0_241,refute_0_252]) ).
cnf(refute_0_254,plain,
rd(X_51,X_51) = mult(mult(X_51,rd(X_51,X_51)),rd(rd(X_51,X_51),X_51)),
inference(resolve,[$cnf( $equal(ld(mult(X_51,rd(X_51,X_51)),X_51),rd(rd(mult(mult(X_51,mult(rd(X_51,X_51),rd(X_51,X_51))),X_51),X_51),X_51)) )],[refute_0_238,refute_0_253]) ).
cnf(refute_0_255,plain,
rd(X_110,X_110) = mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)),
inference(subst,[],[refute_0_254:[bind(X_51,$fot(X_110))]]) ).
cnf(refute_0_256,plain,
( rd(X_110,X_110) != mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110))
| mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)) = rd(X_110,X_110) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(rd(X_110,X_110))),bind(Y,$fot(mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110))))]]) ).
cnf(refute_0_257,plain,
mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)) = rd(X_110,X_110),
inference(resolve,[$cnf( $equal(rd(X_110,X_110),mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
( mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)) != rd(X_110,X_110)
| rd(mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)),rd(rd(X_110,X_110),X_110)) != mult(X_110,rd(X_110,X_110))
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = mult(X_110,rd(X_110,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)),rd(rd(X_110,X_110),X_110)),mult(X_110,rd(X_110,X_110))) ),[0,0],$fot(rd(X_110,X_110))]]) ).
cnf(refute_0_259,plain,
( rd(mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)),rd(rd(X_110,X_110),X_110)) != mult(X_110,rd(X_110,X_110))
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = mult(X_110,rd(X_110,X_110)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)),rd(X_110,X_110)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = mult(X_110,rd(X_110,X_110)),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_110,rd(X_110,X_110)),rd(rd(X_110,X_110),X_110)),rd(rd(X_110,X_110),X_110)),mult(X_110,rd(X_110,X_110))) )],[refute_0_228,refute_0_259]) ).
cnf(refute_0_261,plain,
rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110))) = X_110,
inference(subst,[],[refute_0_207:[bind(B,$fot(rd(X_110,X_110))),bind(X_8,$fot(X_110))]]) ).
cnf(refute_0_262,plain,
rd(B,ld(rd(rd(B,B),B),B)) = rd(rd(B,B),B),
inference(subst,[],[refute_0_207:[bind(X_8,$fot(rd(rd(B,B),B)))]]) ).
cnf(refute_0_263,plain,
ld(mult(X_39,rd(X_38,B)),mult(mult(X_39,rd(X_38,B)),B)) = B,
inference(subst,[],[f02:[bind(A,$fot(mult(X_39,rd(X_38,B))))]]) ).
cnf(refute_0_264,plain,
mult(mult(mult(X_12,ld(X_12,B)),X_14),X_12) = mult(X_12,mult(ld(X_12,B),mult(X_14,X_12))),
inference(subst,[],[f05:[bind(A,$fot(X_12)),bind(B,$fot(ld(X_12,B))),bind(C,$fot(X_14))]]) ).
cnf(refute_0_265,plain,
mult(X_12,ld(X_12,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_266,plain,
( mult(X_12,ld(X_12,B)) != B
| mult(mult(mult(X_12,ld(X_12,B)),X_14),X_12) != mult(X_12,mult(ld(X_12,B),mult(X_14,X_12)))
| mult(mult(B,X_14),X_12) = mult(X_12,mult(ld(X_12,B),mult(X_14,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_12,ld(X_12,B)),X_14),X_12),mult(X_12,mult(ld(X_12,B),mult(X_14,X_12)))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_267,plain,
( mult(mult(mult(X_12,ld(X_12,B)),X_14),X_12) != mult(X_12,mult(ld(X_12,B),mult(X_14,X_12)))
| mult(mult(B,X_14),X_12) = mult(X_12,mult(ld(X_12,B),mult(X_14,X_12))) ),
inference(resolve,[$cnf( $equal(mult(X_12,ld(X_12,B)),B) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
mult(mult(B,X_14),X_12) = mult(X_12,mult(ld(X_12,B),mult(X_14,X_12))),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_12,ld(X_12,B)),X_14),X_12),mult(X_12,mult(ld(X_12,B),mult(X_14,X_12)))) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
mult(mult(X_15,rd(A,X_16)),X_16) = mult(X_16,mult(ld(X_16,X_15),mult(rd(A,X_16),X_16))),
inference(subst,[],[refute_0_268:[bind(B,$fot(X_15)),bind(X_12,$fot(X_16)),bind(X_14,$fot(rd(A,X_16)))]]) ).
cnf(refute_0_270,plain,
mult(rd(A,X_16),X_16) = A,
inference(subst,[],[f03:[bind(B,$fot(X_16))]]) ).
cnf(refute_0_271,plain,
( mult(mult(X_15,rd(A,X_16)),X_16) != mult(X_16,mult(ld(X_16,X_15),mult(rd(A,X_16),X_16)))
| mult(rd(A,X_16),X_16) != A
| mult(mult(X_15,rd(A,X_16)),X_16) = mult(X_16,mult(ld(X_16,X_15),A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,rd(A,X_16)),X_16),mult(X_16,mult(ld(X_16,X_15),mult(rd(A,X_16),X_16)))) ),[1,1,1],$fot(A)]]) ).
cnf(refute_0_272,plain,
( mult(mult(X_15,rd(A,X_16)),X_16) != mult(X_16,mult(ld(X_16,X_15),mult(rd(A,X_16),X_16)))
| mult(mult(X_15,rd(A,X_16)),X_16) = mult(X_16,mult(ld(X_16,X_15),A)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_16),X_16),A) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
mult(mult(X_15,rd(A,X_16)),X_16) = mult(X_16,mult(ld(X_16,X_15),A)),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(A,X_16)),X_16),mult(X_16,mult(ld(X_16,X_15),mult(rd(A,X_16),X_16)))) )],[refute_0_269,refute_0_272]) ).
cnf(refute_0_274,plain,
mult(mult(X_39,rd(X_38,B)),B) = mult(B,mult(ld(B,X_39),X_38)),
inference(subst,[],[refute_0_273:[bind(A,$fot(X_38)),bind(X_15,$fot(X_39)),bind(X_16,$fot(B))]]) ).
cnf(refute_0_275,plain,
( ld(mult(X_39,rd(X_38,B)),mult(mult(X_39,rd(X_38,B)),B)) != B
| mult(mult(X_39,rd(X_38,B)),B) != mult(B,mult(ld(B,X_39),X_38))
| ld(mult(X_39,rd(X_38,B)),mult(B,mult(ld(B,X_39),X_38))) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_39,rd(X_38,B)),mult(mult(X_39,rd(X_38,B)),B)),B) ),[0,1],$fot(mult(B,mult(ld(B,X_39),X_38)))]]) ).
cnf(refute_0_276,plain,
( ld(mult(X_39,rd(X_38,B)),mult(mult(X_39,rd(X_38,B)),B)) != B
| ld(mult(X_39,rd(X_38,B)),mult(B,mult(ld(B,X_39),X_38))) = B ),
inference(resolve,[$cnf( $equal(mult(mult(X_39,rd(X_38,B)),B),mult(B,mult(ld(B,X_39),X_38))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
ld(mult(X_39,rd(X_38,B)),mult(B,mult(ld(B,X_39),X_38))) = B,
inference(resolve,[$cnf( $equal(ld(mult(X_39,rd(X_38,B)),mult(mult(X_39,rd(X_38,B)),B)),B) )],[refute_0_263,refute_0_276]) ).
cnf(refute_0_278,plain,
ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),mult(ld(mult(X_39,X_39),X_39),ld(X_39,X_39)))) = mult(X_39,X_39),
inference(subst,[],[refute_0_277:[bind(B,$fot(mult(X_39,X_39))),bind(X_38,$fot(ld(X_39,X_39)))]]) ).
cnf(refute_0_279,plain,
mult(rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)),ld(X_128,X_128)) = ld(mult(X_128,X_128),X_128),
inference(subst,[],[f03:[bind(A,$fot(ld(mult(X_128,X_128),X_128))),bind(B,$fot(ld(X_128,X_128)))]]) ).
cnf(refute_0_280,plain,
ld(mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))),ld(X_127,X_127)) = rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)),
inference(subst,[],[refute_0_50:[bind(A,$fot(ld(X_127,X_127))),bind(X_47,$fot(rd(ld(X_127,X_127),X_127)))]]) ).
cnf(refute_0_281,plain,
rd(mult(X_60,X_59),X_60) = mult(mult(X_60,ld(X_60,B)),rd(ld(ld(X_60,B),X_59),X_60)),
inference(subst,[],[refute_0_122:[bind(B,$fot(X_59)),bind(X_28,$fot(X_60)),bind(X_29,$fot(ld(X_60,B)))]]) ).
cnf(refute_0_282,plain,
mult(X_60,ld(X_60,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_60))]]) ).
cnf(refute_0_283,plain,
( mult(X_60,ld(X_60,B)) != B
| rd(mult(X_60,X_59),X_60) != mult(mult(X_60,ld(X_60,B)),rd(ld(ld(X_60,B),X_59),X_60))
| rd(mult(X_60,X_59),X_60) = mult(B,rd(ld(ld(X_60,B),X_59),X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_60,X_59),X_60),mult(mult(X_60,ld(X_60,B)),rd(ld(ld(X_60,B),X_59),X_60))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_284,plain,
( rd(mult(X_60,X_59),X_60) != mult(mult(X_60,ld(X_60,B)),rd(ld(ld(X_60,B),X_59),X_60))
| rd(mult(X_60,X_59),X_60) = mult(B,rd(ld(ld(X_60,B),X_59),X_60)) ),
inference(resolve,[$cnf( $equal(mult(X_60,ld(X_60,B)),B) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
rd(mult(X_60,X_59),X_60) = mult(B,rd(ld(ld(X_60,B),X_59),X_60)),
inference(resolve,[$cnf( $equal(rd(mult(X_60,X_59),X_60),mult(mult(X_60,ld(X_60,B)),rd(ld(ld(X_60,B),X_59),X_60))) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
rd(mult(rd(A,X_117),X_117),rd(A,X_117)) = mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))),
inference(subst,[],[refute_0_285:[bind(B,$fot(X_116)),bind(X_59,$fot(X_117)),bind(X_60,$fot(rd(A,X_117)))]]) ).
cnf(refute_0_287,plain,
mult(rd(A,X_117),X_117) = A,
inference(subst,[],[f03:[bind(B,$fot(X_117))]]) ).
cnf(refute_0_288,plain,
( mult(rd(A,X_117),X_117) != A
| rd(mult(rd(A,X_117),X_117),rd(A,X_117)) != mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117)))
| rd(A,rd(A,X_117)) = mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_117),X_117),rd(A,X_117)),mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117)))) ),[0,0],$fot(A)]]) ).
cnf(refute_0_289,plain,
( rd(mult(rd(A,X_117),X_117),rd(A,X_117)) != mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117)))
| rd(A,rd(A,X_117)) = mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_117),X_117),A) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
rd(A,rd(A,X_117)) = mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_117),X_117),rd(A,X_117)),mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117)))) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
rd(mult(rd(A,X_117),X_117),rd(A,X_117)) = mult(A,rd(ld(X_117,X_117),rd(A,X_117))),
inference(subst,[],[refute_0_178:[bind(X_59,$fot(X_117)),bind(X_61,$fot(X_117))]]) ).
cnf(refute_0_292,plain,
( rd(mult(X_60,X_59),X_60) != mult(B,rd(ld(ld(X_60,B),X_59),X_60))
| mult(B,rd(ld(ld(X_60,B),X_59),X_60)) = rd(mult(X_60,X_59),X_60) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(rd(mult(X_60,X_59),X_60))),bind(Y,$fot(mult(B,rd(ld(ld(X_60,B),X_59),X_60))))]]) ).
cnf(refute_0_293,plain,
mult(B,rd(ld(ld(X_60,B),X_59),X_60)) = rd(mult(X_60,X_59),X_60),
inference(resolve,[$cnf( $equal(rd(mult(X_60,X_59),X_60),mult(B,rd(ld(ld(X_60,B),X_59),X_60))) )],[refute_0_285,refute_0_292]) ).
cnf(refute_0_294,plain,
mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))) = rd(mult(rd(A,X_117),X_117),rd(A,X_117)),
inference(subst,[],[refute_0_293:[bind(B,$fot(X_116)),bind(X_59,$fot(X_117)),bind(X_60,$fot(rd(A,X_117)))]]) ).
cnf(refute_0_295,plain,
( mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))) != rd(mult(rd(A,X_117),X_117),rd(A,X_117))
| rd(mult(rd(A,X_117),X_117),rd(A,X_117)) != mult(A,rd(ld(X_117,X_117),rd(A,X_117)))
| mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))) = mult(A,rd(ld(X_117,X_117),rd(A,X_117))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))))),bind(Y,$fot(rd(mult(rd(A,X_117),X_117),rd(A,X_117)))),bind(Z,$fot(mult(A,rd(ld(X_117,X_117),rd(A,X_117)))))]]) ).
cnf(refute_0_296,plain,
( rd(mult(rd(A,X_117),X_117),rd(A,X_117)) != mult(A,rd(ld(X_117,X_117),rd(A,X_117)))
| mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))) = mult(A,rd(ld(X_117,X_117),rd(A,X_117))) ),
inference(resolve,[$cnf( $equal(mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))),rd(mult(rd(A,X_117),X_117),rd(A,X_117))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))) = mult(A,rd(ld(X_117,X_117),rd(A,X_117))),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_117),X_117),rd(A,X_117)),mult(A,rd(ld(X_117,X_117),rd(A,X_117)))) )],[refute_0_291,refute_0_296]) ).
cnf(refute_0_298,plain,
( mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))) != mult(A,rd(ld(X_117,X_117),rd(A,X_117)))
| rd(A,rd(A,X_117)) != mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117)))
| rd(A,rd(A,X_117)) = mult(A,rd(ld(X_117,X_117),rd(A,X_117))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(A,rd(A,X_117)),mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117)))) ),[1],$fot(mult(A,rd(ld(X_117,X_117),rd(A,X_117))))]]) ).
cnf(refute_0_299,plain,
( rd(A,rd(A,X_117)) != mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117)))
| rd(A,rd(A,X_117)) = mult(A,rd(ld(X_117,X_117),rd(A,X_117))) ),
inference(resolve,[$cnf( $equal(mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117))),mult(A,rd(ld(X_117,X_117),rd(A,X_117)))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
rd(A,rd(A,X_117)) = mult(A,rd(ld(X_117,X_117),rd(A,X_117))),
inference(resolve,[$cnf( $equal(rd(A,rd(A,X_117)),mult(X_116,rd(ld(ld(rd(A,X_117),X_116),X_117),rd(A,X_117)))) )],[refute_0_290,refute_0_299]) ).
cnf(refute_0_301,plain,
rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)) = mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))),
inference(subst,[],[refute_0_300:[bind(A,$fot(ld(X_127,X_127))),bind(X_117,$fot(X_127))]]) ).
cnf(refute_0_302,plain,
( rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)) != mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)))
| mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))) = rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)))),bind(Y,$fot(mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)))))]]) ).
cnf(refute_0_303,plain,
mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))) = rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),
inference(resolve,[$cnf( $equal(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
( ld(mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))),ld(X_127,X_127)) != rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))
| mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))) != rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))
| ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) = rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))),ld(X_127,X_127)),rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))) ),[0,0],$fot(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)))]]) ).
cnf(refute_0_305,plain,
( ld(mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))),ld(X_127,X_127)) != rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))
| ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) = rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) = rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)),
inference(resolve,[$cnf( $equal(ld(mult(ld(X_127,X_127),rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127))),ld(X_127,X_127)),rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))) )],[refute_0_280,refute_0_305]) ).
cnf(refute_0_307,plain,
rd(ld(X_127,X_127),X_127) = ld(mult(X_127,X_127),X_127),
inference(subst,[],[refute_0_160:[bind(B,$fot(X_127)),bind(X_48,$fot(X_127))]]) ).
cnf(refute_0_308,plain,
ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) = rd(ld(X_127,X_127),X_127),
inference(subst,[],[refute_0_98:[bind(B,$fot(rd(ld(X_127,X_127),X_127))),bind(X_4,$fot(ld(X_127,X_127)))]]) ).
cnf(refute_0_309,plain,
( ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) != rd(ld(X_127,X_127),X_127)
| rd(ld(X_127,X_127),X_127) != ld(mult(X_127,X_127),X_127)
| ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) = ld(mult(X_127,X_127),X_127) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)))),bind(Y,$fot(rd(ld(X_127,X_127),X_127))),bind(Z,$fot(ld(mult(X_127,X_127),X_127)))]]) ).
cnf(refute_0_310,plain,
( rd(ld(X_127,X_127),X_127) != ld(mult(X_127,X_127),X_127)
| ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) = ld(mult(X_127,X_127),X_127) ),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)),rd(ld(X_127,X_127),X_127)) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) = ld(mult(X_127,X_127),X_127),
inference(resolve,[$cnf( $equal(rd(ld(X_127,X_127),X_127),ld(mult(X_127,X_127),X_127)) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
( ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) != ld(mult(X_127,X_127),X_127)
| ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) != rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))
| ld(mult(X_127,X_127),X_127) = rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)),rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))) ),[0],$fot(ld(mult(X_127,X_127),X_127))]]) ).
cnf(refute_0_313,plain,
( ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) != rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))
| ld(mult(X_127,X_127),X_127) = rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) ),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)),ld(mult(X_127,X_127),X_127)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) = rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)),
introduced(tautology,[refl,[$fot(rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)))]]) ).
cnf(refute_0_315,plain,
( rd(ld(X_127,X_127),X_127) != ld(mult(X_127,X_127),X_127)
| rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) != rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))
| rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) = rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)),rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))) ),[1,0],$fot(ld(mult(X_127,X_127),X_127))]]) ).
cnf(refute_0_316,plain,
( rd(ld(X_127,X_127),X_127) != ld(mult(X_127,X_127),X_127)
| rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) = rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127)) ),
inference(resolve,[$cnf( $equal(rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)),rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) = rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127)),
inference(resolve,[$cnf( $equal(rd(ld(X_127,X_127),X_127),ld(mult(X_127,X_127),X_127)) )],[refute_0_307,refute_0_316]) ).
cnf(refute_0_318,plain,
( ld(mult(X_127,X_127),X_127) != rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))
| rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)) != rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127))
| ld(mult(X_127,X_127),X_127) = rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(mult(X_127,X_127),X_127),rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127))) ),[0],$fot(rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)))]]) ).
cnf(refute_0_319,plain,
( ld(mult(X_127,X_127),X_127) != rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))
| ld(mult(X_127,X_127),X_127) = rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127)) ),
inference(resolve,[$cnf( $equal(rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127)),rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
( ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)) != rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))
| ld(mult(X_127,X_127),X_127) = rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127)) ),
inference(resolve,[$cnf( $equal(ld(mult(X_127,X_127),X_127),rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))) )],[refute_0_313,refute_0_319]) ).
cnf(refute_0_321,plain,
ld(mult(X_127,X_127),X_127) = rd(ld(mult(X_127,X_127),X_127),ld(X_127,X_127)),
inference(resolve,[$cnf( $equal(ld(rd(ld(X_127,X_127),rd(ld(X_127,X_127),X_127)),ld(X_127,X_127)),rd(rd(ld(X_127,X_127),X_127),ld(X_127,X_127))) )],[refute_0_306,refute_0_320]) ).
cnf(refute_0_322,plain,
ld(mult(X_128,X_128),X_128) = rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)),
inference(subst,[],[refute_0_321:[bind(X_127,$fot(X_128))]]) ).
cnf(refute_0_323,plain,
( ld(mult(X_128,X_128),X_128) != rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128))
| rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)) = ld(mult(X_128,X_128),X_128) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(mult(X_128,X_128),X_128))),bind(Y,$fot(rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128))))]]) ).
cnf(refute_0_324,plain,
rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)) = ld(mult(X_128,X_128),X_128),
inference(resolve,[$cnf( $equal(ld(mult(X_128,X_128),X_128),rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( mult(rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)),ld(X_128,X_128)) != ld(mult(X_128,X_128),X_128)
| rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)) != ld(mult(X_128,X_128),X_128)
| mult(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)) = ld(mult(X_128,X_128),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)),ld(X_128,X_128)),ld(mult(X_128,X_128),X_128)) ),[0,0],$fot(ld(mult(X_128,X_128),X_128))]]) ).
cnf(refute_0_326,plain,
( mult(rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)),ld(X_128,X_128)) != ld(mult(X_128,X_128),X_128)
| mult(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)) = ld(mult(X_128,X_128),X_128) ),
inference(resolve,[$cnf( $equal(rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)),ld(mult(X_128,X_128),X_128)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
mult(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)) = ld(mult(X_128,X_128),X_128),
inference(resolve,[$cnf( $equal(mult(rd(ld(mult(X_128,X_128),X_128),ld(X_128,X_128)),ld(X_128,X_128)),ld(mult(X_128,X_128),X_128)) )],[refute_0_279,refute_0_326]) ).
cnf(refute_0_328,plain,
mult(ld(mult(X_39,X_39),X_39),ld(X_39,X_39)) = ld(mult(X_39,X_39),X_39),
inference(subst,[],[refute_0_327:[bind(X_128,$fot(X_39))]]) ).
cnf(refute_0_329,plain,
( ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),mult(ld(mult(X_39,X_39),X_39),ld(X_39,X_39)))) != mult(X_39,X_39)
| mult(ld(mult(X_39,X_39),X_39),ld(X_39,X_39)) != ld(mult(X_39,X_39),X_39)
| ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = mult(X_39,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),mult(ld(mult(X_39,X_39),X_39),ld(X_39,X_39)))),mult(X_39,X_39)) ),[0,1,1],$fot(ld(mult(X_39,X_39),X_39))]]) ).
cnf(refute_0_330,plain,
( ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),mult(ld(mult(X_39,X_39),X_39),ld(X_39,X_39)))) != mult(X_39,X_39)
| ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = mult(X_39,X_39) ),
inference(resolve,[$cnf( $equal(mult(ld(mult(X_39,X_39),X_39),ld(X_39,X_39)),ld(mult(X_39,X_39),X_39)) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = mult(X_39,X_39),
inference(resolve,[$cnf( $equal(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),mult(ld(mult(X_39,X_39),X_39),ld(X_39,X_39)))),mult(X_39,X_39)) )],[refute_0_278,refute_0_330]) ).
cnf(refute_0_332,plain,
mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)) = X_39,
inference(subst,[],[f01:[bind(A,$fot(mult(X_39,X_39))),bind(B,$fot(X_39))]]) ).
cnf(refute_0_333,plain,
ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),
introduced(tautology,[refl,[$fot(ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))))]]) ).
cnf(refute_0_334,plain,
( ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) != ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)))
| mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)) != X_39
| ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_335,plain,
( mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)) != X_39
| ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),X_39) ),
inference(resolve,[$cnf( $equal(ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),X_39),
inference(resolve,[$cnf( $equal(mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)),X_39) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
rd(rd(mult(X_125,ld(X_125,B)),X_125),X_123) = mult(X_125,rd(ld(X_125,B),mult(X_123,X_125))),
inference(subst,[],[refute_0_85:[bind(B,$fot(X_123)),bind(X_44,$fot(ld(X_125,B))),bind(X_45,$fot(X_125))]]) ).
cnf(refute_0_338,plain,
mult(X_125,ld(X_125,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_125))]]) ).
cnf(refute_0_339,plain,
( mult(X_125,ld(X_125,B)) != B
| rd(rd(mult(X_125,ld(X_125,B)),X_125),X_123) != mult(X_125,rd(ld(X_125,B),mult(X_123,X_125)))
| rd(rd(B,X_125),X_123) = mult(X_125,rd(ld(X_125,B),mult(X_123,X_125))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(mult(X_125,ld(X_125,B)),X_125),X_123),mult(X_125,rd(ld(X_125,B),mult(X_123,X_125)))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_340,plain,
( rd(rd(mult(X_125,ld(X_125,B)),X_125),X_123) != mult(X_125,rd(ld(X_125,B),mult(X_123,X_125)))
| rd(rd(B,X_125),X_123) = mult(X_125,rd(ld(X_125,B),mult(X_123,X_125))) ),
inference(resolve,[$cnf( $equal(mult(X_125,ld(X_125,B)),B) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
rd(rd(B,X_125),X_123) = mult(X_125,rd(ld(X_125,B),mult(X_123,X_125))),
inference(resolve,[$cnf( $equal(rd(rd(mult(X_125,ld(X_125,B)),X_125),X_123),mult(X_125,rd(ld(X_125,B),mult(X_123,X_125)))) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
( rd(rd(B,X_125),X_123) != mult(X_125,rd(ld(X_125,B),mult(X_123,X_125)))
| mult(X_125,rd(ld(X_125,B),mult(X_123,X_125))) = rd(rd(B,X_125),X_123) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(rd(rd(B,X_125),X_123))),bind(Y,$fot(mult(X_125,rd(ld(X_125,B),mult(X_123,X_125)))))]]) ).
cnf(refute_0_343,plain,
mult(X_125,rd(ld(X_125,B),mult(X_123,X_125))) = rd(rd(B,X_125),X_123),
inference(resolve,[$cnf( $equal(rd(rd(B,X_125),X_123),mult(X_125,rd(ld(X_125,B),mult(X_123,X_125)))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))) = rd(rd(X_39,X_39),X_39),
inference(subst,[],[refute_0_343:[bind(B,$fot(X_39)),bind(X_123,$fot(X_39)),bind(X_125,$fot(X_39))]]) ).
cnf(refute_0_345,plain,
ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),
introduced(tautology,[refl,[$fot(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))))]]) ).
cnf(refute_0_346,plain,
( ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) != ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)))
| mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))) != rd(rd(X_39,X_39),X_39)
| ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)))) ),[1,0],$fot(rd(rd(X_39,X_39),X_39))]]) ).
cnf(refute_0_347,plain,
( mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))) != rd(rd(X_39,X_39),X_39)
| ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) ),
inference(resolve,[$cnf( $equal(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),
inference(resolve,[$cnf( $equal(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),rd(rd(X_39,X_39),X_39)) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
( ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) != ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)))
| ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) != ld(rd(rd(X_39,X_39),X_39),X_39)
| ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),X_39) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))))),bind(Y,$fot(ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))))),bind(Z,$fot(ld(rd(rd(X_39,X_39),X_39),X_39)))]]) ).
cnf(refute_0_350,plain,
( ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) != ld(rd(rd(X_39,X_39),X_39),X_39)
| ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),X_39) ),
inference(resolve,[$cnf( $equal(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39)))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) = ld(rd(rd(X_39,X_39),X_39),X_39),
inference(resolve,[$cnf( $equal(ld(rd(rd(X_39,X_39),X_39),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),ld(rd(rd(X_39,X_39),X_39),X_39)) )],[refute_0_336,refute_0_350]) ).
cnf(refute_0_352,plain,
( ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) != ld(rd(rd(X_39,X_39),X_39),X_39)
| ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) != mult(X_39,X_39)
| ld(rd(rd(X_39,X_39),X_39),X_39) = mult(X_39,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),mult(X_39,X_39)) ),[0],$fot(ld(rd(rd(X_39,X_39),X_39),X_39))]]) ).
cnf(refute_0_353,plain,
( ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))) != mult(X_39,X_39)
| ld(rd(rd(X_39,X_39),X_39),X_39) = mult(X_39,X_39) ),
inference(resolve,[$cnf( $equal(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),ld(rd(rd(X_39,X_39),X_39),X_39)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
ld(rd(rd(X_39,X_39),X_39),X_39) = mult(X_39,X_39),
inference(resolve,[$cnf( $equal(ld(mult(X_39,rd(ld(X_39,X_39),mult(X_39,X_39))),mult(mult(X_39,X_39),ld(mult(X_39,X_39),X_39))),mult(X_39,X_39)) )],[refute_0_331,refute_0_353]) ).
cnf(refute_0_355,plain,
ld(rd(rd(B,B),B),B) = mult(B,B),
inference(subst,[],[refute_0_354:[bind(X_39,$fot(B))]]) ).
cnf(refute_0_356,plain,
( ld(rd(rd(B,B),B),B) != mult(B,B)
| rd(B,ld(rd(rd(B,B),B),B)) != rd(rd(B,B),B)
| rd(B,mult(B,B)) = rd(rd(B,B),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(B,ld(rd(rd(B,B),B),B)),rd(rd(B,B),B)) ),[0,1],$fot(mult(B,B))]]) ).
cnf(refute_0_357,plain,
( rd(B,ld(rd(rd(B,B),B),B)) != rd(rd(B,B),B)
| rd(B,mult(B,B)) = rd(rd(B,B),B) ),
inference(resolve,[$cnf( $equal(ld(rd(rd(B,B),B),B),mult(B,B)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
rd(B,mult(B,B)) = rd(rd(B,B),B),
inference(resolve,[$cnf( $equal(rd(B,ld(rd(rd(B,B),B),B)),rd(rd(B,B),B)) )],[refute_0_262,refute_0_357]) ).
cnf(refute_0_359,plain,
rd(mult(ld(X_35,X_36),mult(X_37,X_35)),mult(X_37,X_35)) = ld(X_35,X_36),
inference(subst,[],[f04:[bind(A,$fot(ld(X_35,X_36))),bind(B,$fot(mult(X_37,X_35)))]]) ).
cnf(refute_0_360,plain,
ld(A,mult(A,mult(ld(A,X_15),mult(X_17,A)))) = mult(ld(A,X_15),mult(X_17,A)),
inference(subst,[],[f02:[bind(B,$fot(mult(ld(A,X_15),mult(X_17,A))))]]) ).
cnf(refute_0_361,plain,
mult(mult(X_15,X_17),A) = mult(A,mult(ld(A,X_15),mult(X_17,A))),
inference(subst,[],[refute_0_268:[bind(B,$fot(X_15)),bind(X_12,$fot(A)),bind(X_14,$fot(X_17))]]) ).
cnf(refute_0_362,plain,
( mult(mult(X_15,X_17),A) != mult(A,mult(ld(A,X_15),mult(X_17,A)))
| mult(A,mult(ld(A,X_15),mult(X_17,A))) = mult(mult(X_15,X_17),A) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(mult(X_15,X_17),A))),bind(Y,$fot(mult(A,mult(ld(A,X_15),mult(X_17,A)))))]]) ).
cnf(refute_0_363,plain,
mult(A,mult(ld(A,X_15),mult(X_17,A))) = mult(mult(X_15,X_17),A),
inference(resolve,[$cnf( $equal(mult(mult(X_15,X_17),A),mult(A,mult(ld(A,X_15),mult(X_17,A)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
( ld(A,mult(A,mult(ld(A,X_15),mult(X_17,A)))) != mult(ld(A,X_15),mult(X_17,A))
| mult(A,mult(ld(A,X_15),mult(X_17,A))) != mult(mult(X_15,X_17),A)
| ld(A,mult(mult(X_15,X_17),A)) = mult(ld(A,X_15),mult(X_17,A)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(ld(A,X_15),mult(X_17,A)))),mult(ld(A,X_15),mult(X_17,A))) ),[0,1],$fot(mult(mult(X_15,X_17),A))]]) ).
cnf(refute_0_365,plain,
( ld(A,mult(A,mult(ld(A,X_15),mult(X_17,A)))) != mult(ld(A,X_15),mult(X_17,A))
| ld(A,mult(mult(X_15,X_17),A)) = mult(ld(A,X_15),mult(X_17,A)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(A,X_15),mult(X_17,A))),mult(mult(X_15,X_17),A)) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
ld(A,mult(mult(X_15,X_17),A)) = mult(ld(A,X_15),mult(X_17,A)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(ld(A,X_15),mult(X_17,A)))),mult(ld(A,X_15),mult(X_17,A))) )],[refute_0_360,refute_0_365]) ).
cnf(refute_0_367,plain,
ld(X_35,mult(mult(X_36,X_37),X_35)) = mult(ld(X_35,X_36),mult(X_37,X_35)),
inference(subst,[],[refute_0_366:[bind(A,$fot(X_35)),bind(X_15,$fot(X_36)),bind(X_17,$fot(X_37))]]) ).
cnf(refute_0_368,plain,
( ld(X_35,mult(mult(X_36,X_37),X_35)) != mult(ld(X_35,X_36),mult(X_37,X_35))
| mult(ld(X_35,X_36),mult(X_37,X_35)) = ld(X_35,mult(mult(X_36,X_37),X_35)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(X_35,mult(mult(X_36,X_37),X_35)))),bind(Y,$fot(mult(ld(X_35,X_36),mult(X_37,X_35))))]]) ).
cnf(refute_0_369,plain,
mult(ld(X_35,X_36),mult(X_37,X_35)) = ld(X_35,mult(mult(X_36,X_37),X_35)),
inference(resolve,[$cnf( $equal(ld(X_35,mult(mult(X_36,X_37),X_35)),mult(ld(X_35,X_36),mult(X_37,X_35))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
( mult(ld(X_35,X_36),mult(X_37,X_35)) != ld(X_35,mult(mult(X_36,X_37),X_35))
| rd(mult(ld(X_35,X_36),mult(X_37,X_35)),mult(X_37,X_35)) != ld(X_35,X_36)
| rd(ld(X_35,mult(mult(X_36,X_37),X_35)),mult(X_37,X_35)) = ld(X_35,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_35,X_36),mult(X_37,X_35)),mult(X_37,X_35)),ld(X_35,X_36)) ),[0,0],$fot(ld(X_35,mult(mult(X_36,X_37),X_35)))]]) ).
cnf(refute_0_371,plain,
( rd(mult(ld(X_35,X_36),mult(X_37,X_35)),mult(X_37,X_35)) != ld(X_35,X_36)
| rd(ld(X_35,mult(mult(X_36,X_37),X_35)),mult(X_37,X_35)) = ld(X_35,X_36) ),
inference(resolve,[$cnf( $equal(mult(ld(X_35,X_36),mult(X_37,X_35)),ld(X_35,mult(mult(X_36,X_37),X_35))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
rd(ld(X_35,mult(mult(X_36,X_37),X_35)),mult(X_37,X_35)) = ld(X_35,X_36),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_35,X_36),mult(X_37,X_35)),mult(X_37,X_35)),ld(X_35,X_36)) )],[refute_0_359,refute_0_371]) ).
cnf(refute_0_373,plain,
rd(ld(mult(X_77,X_78),mult(mult(X_77,X_78),mult(X_77,X_78))),mult(X_78,mult(X_77,X_78))) = ld(mult(X_77,X_78),X_77),
inference(subst,[],[refute_0_372:[bind(X_35,$fot(mult(X_77,X_78))),bind(X_36,$fot(X_77)),bind(X_37,$fot(X_78))]]) ).
cnf(refute_0_374,plain,
ld(mult(X_77,X_78),mult(mult(X_77,X_78),mult(X_77,X_78))) = mult(X_77,X_78),
inference(subst,[],[f02:[bind(A,$fot(mult(X_77,X_78))),bind(B,$fot(mult(X_77,X_78)))]]) ).
cnf(refute_0_375,plain,
( ld(mult(X_77,X_78),mult(mult(X_77,X_78),mult(X_77,X_78))) != mult(X_77,X_78)
| rd(ld(mult(X_77,X_78),mult(mult(X_77,X_78),mult(X_77,X_78))),mult(X_78,mult(X_77,X_78))) != ld(mult(X_77,X_78),X_77)
| rd(mult(X_77,X_78),mult(X_78,mult(X_77,X_78))) = ld(mult(X_77,X_78),X_77) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(mult(X_77,X_78),mult(mult(X_77,X_78),mult(X_77,X_78))),mult(X_78,mult(X_77,X_78))),ld(mult(X_77,X_78),X_77)) ),[0,0],$fot(mult(X_77,X_78))]]) ).
cnf(refute_0_376,plain,
( rd(ld(mult(X_77,X_78),mult(mult(X_77,X_78),mult(X_77,X_78))),mult(X_78,mult(X_77,X_78))) != ld(mult(X_77,X_78),X_77)
| rd(mult(X_77,X_78),mult(X_78,mult(X_77,X_78))) = ld(mult(X_77,X_78),X_77) ),
inference(resolve,[$cnf( $equal(ld(mult(X_77,X_78),mult(mult(X_77,X_78),mult(X_77,X_78))),mult(X_77,X_78)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
rd(mult(X_77,X_78),mult(X_78,mult(X_77,X_78))) = ld(mult(X_77,X_78),X_77),
inference(resolve,[$cnf( $equal(rd(ld(mult(X_77,X_78),mult(mult(X_77,X_78),mult(X_77,X_78))),mult(X_78,mult(X_77,X_78))),ld(mult(X_77,X_78),X_77)) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
rd(mult(rd(A,X_95),X_95),mult(X_95,mult(rd(A,X_95),X_95))) = ld(mult(rd(A,X_95),X_95),rd(A,X_95)),
inference(subst,[],[refute_0_377:[bind(X_77,$fot(rd(A,X_95))),bind(X_78,$fot(X_95))]]) ).
cnf(refute_0_379,plain,
mult(rd(A,X_95),X_95) = A,
inference(subst,[],[f03:[bind(B,$fot(X_95))]]) ).
cnf(refute_0_380,plain,
( mult(rd(A,X_95),X_95) != A
| rd(mult(rd(A,X_95),X_95),mult(X_95,mult(rd(A,X_95),X_95))) != ld(mult(rd(A,X_95),X_95),rd(A,X_95))
| rd(mult(rd(A,X_95),X_95),mult(X_95,A)) = ld(mult(rd(A,X_95),X_95),rd(A,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_95),X_95),mult(X_95,mult(rd(A,X_95),X_95))),ld(mult(rd(A,X_95),X_95),rd(A,X_95))) ),[0,1,1],$fot(A)]]) ).
cnf(refute_0_381,plain,
( rd(mult(rd(A,X_95),X_95),mult(X_95,mult(rd(A,X_95),X_95))) != ld(mult(rd(A,X_95),X_95),rd(A,X_95))
| rd(mult(rd(A,X_95),X_95),mult(X_95,A)) = ld(mult(rd(A,X_95),X_95),rd(A,X_95)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_95),X_95),A) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
rd(mult(rd(A,X_95),X_95),mult(X_95,A)) = ld(mult(rd(A,X_95),X_95),rd(A,X_95)),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_95),X_95),mult(X_95,mult(rd(A,X_95),X_95))),ld(mult(rd(A,X_95),X_95),rd(A,X_95))) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
rd(mult(rd(A,X_95),X_95),mult(X_95,A)) = rd(mult(rd(A,X_95),X_95),mult(X_95,A)),
introduced(tautology,[refl,[$fot(rd(mult(rd(A,X_95),X_95),mult(X_95,A)))]]) ).
cnf(refute_0_384,plain,
( mult(rd(A,X_95),X_95) != A
| rd(mult(rd(A,X_95),X_95),mult(X_95,A)) != rd(mult(rd(A,X_95),X_95),mult(X_95,A))
| rd(mult(rd(A,X_95),X_95),mult(X_95,A)) = rd(A,mult(X_95,A)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_95),X_95),mult(X_95,A)),rd(mult(rd(A,X_95),X_95),mult(X_95,A))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_385,plain,
( mult(rd(A,X_95),X_95) != A
| rd(mult(rd(A,X_95),X_95),mult(X_95,A)) = rd(A,mult(X_95,A)) ),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_95),X_95),mult(X_95,A)),rd(mult(rd(A,X_95),X_95),mult(X_95,A))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
rd(mult(rd(A,X_95),X_95),mult(X_95,A)) = rd(A,mult(X_95,A)),
inference(resolve,[$cnf( $equal(mult(rd(A,X_95),X_95),A) )],[refute_0_379,refute_0_385]) ).
cnf(refute_0_387,plain,
( rd(mult(rd(A,X_95),X_95),mult(X_95,A)) != ld(mult(rd(A,X_95),X_95),rd(A,X_95))
| rd(mult(rd(A,X_95),X_95),mult(X_95,A)) != rd(A,mult(X_95,A))
| rd(A,mult(X_95,A)) = ld(mult(rd(A,X_95),X_95),rd(A,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_95),X_95),mult(X_95,A)),ld(mult(rd(A,X_95),X_95),rd(A,X_95))) ),[0],$fot(rd(A,mult(X_95,A)))]]) ).
cnf(refute_0_388,plain,
( rd(mult(rd(A,X_95),X_95),mult(X_95,A)) != ld(mult(rd(A,X_95),X_95),rd(A,X_95))
| rd(A,mult(X_95,A)) = ld(mult(rd(A,X_95),X_95),rd(A,X_95)) ),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_95),X_95),mult(X_95,A)),rd(A,mult(X_95,A))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
ld(mult(rd(A,X_95),X_95),rd(A,X_95)) = ld(mult(rd(A,X_95),X_95),rd(A,X_95)),
introduced(tautology,[refl,[$fot(ld(mult(rd(A,X_95),X_95),rd(A,X_95)))]]) ).
cnf(refute_0_390,plain,
( ld(mult(rd(A,X_95),X_95),rd(A,X_95)) != ld(mult(rd(A,X_95),X_95),rd(A,X_95))
| mult(rd(A,X_95),X_95) != A
| ld(mult(rd(A,X_95),X_95),rd(A,X_95)) = ld(A,rd(A,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(A,X_95),X_95),rd(A,X_95)),ld(mult(rd(A,X_95),X_95),rd(A,X_95))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_391,plain,
( mult(rd(A,X_95),X_95) != A
| ld(mult(rd(A,X_95),X_95),rd(A,X_95)) = ld(A,rd(A,X_95)) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(A,X_95),X_95),rd(A,X_95)),ld(mult(rd(A,X_95),X_95),rd(A,X_95))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
ld(mult(rd(A,X_95),X_95),rd(A,X_95)) = ld(A,rd(A,X_95)),
inference(resolve,[$cnf( $equal(mult(rd(A,X_95),X_95),A) )],[refute_0_379,refute_0_391]) ).
cnf(refute_0_393,plain,
( ld(mult(rd(A,X_95),X_95),rd(A,X_95)) != ld(A,rd(A,X_95))
| rd(A,mult(X_95,A)) != ld(mult(rd(A,X_95),X_95),rd(A,X_95))
| rd(A,mult(X_95,A)) = ld(A,rd(A,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(A,mult(X_95,A)),ld(mult(rd(A,X_95),X_95),rd(A,X_95))) ),[1],$fot(ld(A,rd(A,X_95)))]]) ).
cnf(refute_0_394,plain,
( rd(A,mult(X_95,A)) != ld(mult(rd(A,X_95),X_95),rd(A,X_95))
| rd(A,mult(X_95,A)) = ld(A,rd(A,X_95)) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(A,X_95),X_95),rd(A,X_95)),ld(A,rd(A,X_95))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
( rd(mult(rd(A,X_95),X_95),mult(X_95,A)) != ld(mult(rd(A,X_95),X_95),rd(A,X_95))
| rd(A,mult(X_95,A)) = ld(A,rd(A,X_95)) ),
inference(resolve,[$cnf( $equal(rd(A,mult(X_95,A)),ld(mult(rd(A,X_95),X_95),rd(A,X_95))) )],[refute_0_388,refute_0_394]) ).
cnf(refute_0_396,plain,
rd(A,mult(X_95,A)) = ld(A,rd(A,X_95)),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_95),X_95),mult(X_95,A)),ld(mult(rd(A,X_95),X_95),rd(A,X_95))) )],[refute_0_382,refute_0_395]) ).
cnf(refute_0_397,plain,
rd(B,mult(B,B)) = ld(B,rd(B,B)),
inference(subst,[],[refute_0_396:[bind(A,$fot(B)),bind(X_95,$fot(B))]]) ).
cnf(refute_0_398,plain,
( rd(B,mult(B,B)) != ld(B,rd(B,B))
| rd(B,mult(B,B)) != rd(rd(B,B),B)
| ld(B,rd(B,B)) = rd(rd(B,B),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(B,mult(B,B)),rd(rd(B,B),B)) ),[0],$fot(ld(B,rd(B,B)))]]) ).
cnf(refute_0_399,plain,
( rd(B,mult(B,B)) != rd(rd(B,B),B)
| ld(B,rd(B,B)) = rd(rd(B,B),B) ),
inference(resolve,[$cnf( $equal(rd(B,mult(B,B)),ld(B,rd(B,B))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
ld(B,rd(B,B)) = rd(rd(B,B),B),
inference(resolve,[$cnf( $equal(rd(B,mult(B,B)),rd(rd(B,B),B)) )],[refute_0_358,refute_0_399]) ).
cnf(refute_0_401,plain,
( ld(B,rd(B,B)) != rd(rd(B,B),B)
| rd(rd(B,B),B) = ld(B,rd(B,B)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(B,rd(B,B)))),bind(Y,$fot(rd(rd(B,B),B)))]]) ).
cnf(refute_0_402,plain,
rd(rd(B,B),B) = ld(B,rd(B,B)),
inference(resolve,[$cnf( $equal(ld(B,rd(B,B)),rd(rd(B,B),B)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
rd(rd(X_110,X_110),X_110) = ld(X_110,rd(X_110,X_110)),
inference(subst,[],[refute_0_402:[bind(B,$fot(X_110))]]) ).
cnf(refute_0_404,plain,
rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)),
introduced(tautology,[refl,[$fot(rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)))]]) ).
cnf(refute_0_405,plain,
( rd(rd(X_110,X_110),X_110) != ld(X_110,rd(X_110,X_110))
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) != rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110))
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)),rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110))) ),[1,1],$fot(ld(X_110,rd(X_110,X_110)))]]) ).
cnf(refute_0_406,plain,
( rd(rd(X_110,X_110),X_110) != ld(X_110,rd(X_110,X_110))
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110))) ),
inference(resolve,[$cnf( $equal(rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)),rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110))),
inference(resolve,[$cnf( $equal(rd(rd(X_110,X_110),X_110),ld(X_110,rd(X_110,X_110))) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
( rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110))) != X_110
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) != rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110)))
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = X_110 ),
inference(subst,[],[refute_0_163:[bind(X,$fot(rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)))),bind(Y,$fot(rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110))))),bind(Z,$fot(X_110))]]) ).
cnf(refute_0_409,plain,
( rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110))) != X_110
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = X_110 ),
inference(resolve,[$cnf( $equal(rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)),rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110)))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) = X_110,
inference(resolve,[$cnf( $equal(rd(rd(X_110,X_110),ld(X_110,rd(X_110,X_110))),X_110) )],[refute_0_261,refute_0_409]) ).
cnf(refute_0_411,plain,
( rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) != X_110
| rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) != mult(X_110,rd(X_110,X_110))
| X_110 = mult(X_110,rd(X_110,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)),mult(X_110,rd(X_110,X_110))) ),[0],$fot(X_110)]]) ).
cnf(refute_0_412,plain,
( rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)) != mult(X_110,rd(X_110,X_110))
| X_110 = mult(X_110,rd(X_110,X_110)) ),
inference(resolve,[$cnf( $equal(rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)),X_110) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
X_110 = mult(X_110,rd(X_110,X_110)),
inference(resolve,[$cnf( $equal(rd(rd(X_110,X_110),rd(rd(X_110,X_110),X_110)),mult(X_110,rd(X_110,X_110))) )],[refute_0_260,refute_0_412]) ).
cnf(refute_0_414,plain,
( X_110 != mult(X_110,rd(X_110,X_110))
| mult(X_110,rd(X_110,X_110)) = X_110 ),
inference(subst,[],[refute_0_61:[bind(X,$fot(X_110)),bind(Y,$fot(mult(X_110,rd(X_110,X_110))))]]) ).
cnf(refute_0_415,plain,
mult(X_110,rd(X_110,X_110)) = X_110,
inference(resolve,[$cnf( $equal(X_110,mult(X_110,rd(X_110,X_110))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
mult(X_115,rd(X_115,X_115)) = X_115,
inference(subst,[],[refute_0_415:[bind(X_110,$fot(X_115))]]) ).
cnf(refute_0_417,plain,
rd(X_115,mult(X_115,rd(X_115,X_115))) = rd(X_115,mult(X_115,rd(X_115,X_115))),
introduced(tautology,[refl,[$fot(rd(X_115,mult(X_115,rd(X_115,X_115))))]]) ).
cnf(refute_0_418,plain,
( mult(X_115,rd(X_115,X_115)) != X_115
| rd(X_115,mult(X_115,rd(X_115,X_115))) != rd(X_115,mult(X_115,rd(X_115,X_115)))
| rd(X_115,mult(X_115,rd(X_115,X_115))) = rd(X_115,X_115) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_115,mult(X_115,rd(X_115,X_115))),rd(X_115,mult(X_115,rd(X_115,X_115)))) ),[1,1],$fot(X_115)]]) ).
cnf(refute_0_419,plain,
( mult(X_115,rd(X_115,X_115)) != X_115
| rd(X_115,mult(X_115,rd(X_115,X_115))) = rd(X_115,X_115) ),
inference(resolve,[$cnf( $equal(rd(X_115,mult(X_115,rd(X_115,X_115))),rd(X_115,mult(X_115,rd(X_115,X_115)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
rd(X_115,mult(X_115,rd(X_115,X_115))) = rd(X_115,X_115),
inference(resolve,[$cnf( $equal(mult(X_115,rd(X_115,X_115)),X_115) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))),
introduced(tautology,[refl,[$fot(rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))))]]) ).
cnf(refute_0_422,plain,
( mult(X_115,rd(X_115,X_115)) != X_115
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) != rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115)))
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = rd(X_115,mult(X_115,rd(X_115,X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))),rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115)))) ),[1,0],$fot(X_115)]]) ).
cnf(refute_0_423,plain,
( mult(X_115,rd(X_115,X_115)) != X_115
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = rd(X_115,mult(X_115,rd(X_115,X_115))) ),
inference(resolve,[$cnf( $equal(rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))),rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115)))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = rd(X_115,mult(X_115,rd(X_115,X_115))),
inference(resolve,[$cnf( $equal(mult(X_115,rd(X_115,X_115)),X_115) )],[refute_0_416,refute_0_423]) ).
cnf(refute_0_425,plain,
( rd(X_115,mult(X_115,rd(X_115,X_115))) != rd(X_115,X_115)
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) != rd(X_115,mult(X_115,rd(X_115,X_115)))
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = rd(X_115,X_115) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))))),bind(Y,$fot(rd(X_115,mult(X_115,rd(X_115,X_115))))),bind(Z,$fot(rd(X_115,X_115)))]]) ).
cnf(refute_0_426,plain,
( rd(X_115,mult(X_115,rd(X_115,X_115))) != rd(X_115,X_115)
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = rd(X_115,X_115) ),
inference(resolve,[$cnf( $equal(rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))),rd(X_115,mult(X_115,rd(X_115,X_115)))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) = rd(X_115,X_115),
inference(resolve,[$cnf( $equal(rd(X_115,mult(X_115,rd(X_115,X_115))),rd(X_115,X_115)) )],[refute_0_420,refute_0_426]) ).
cnf(refute_0_428,plain,
( rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) != ld(X_115,X_115)
| rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) != rd(X_115,X_115)
| rd(X_115,X_115) = ld(X_115,X_115) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))),ld(X_115,X_115)) ),[0],$fot(rd(X_115,X_115))]]) ).
cnf(refute_0_429,plain,
( rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))) != ld(X_115,X_115)
| rd(X_115,X_115) = ld(X_115,X_115) ),
inference(resolve,[$cnf( $equal(rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))),rd(X_115,X_115)) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
rd(X_115,X_115) = ld(X_115,X_115),
inference(resolve,[$cnf( $equal(rd(mult(X_115,rd(X_115,X_115)),mult(X_115,rd(X_115,X_115))),ld(X_115,X_115)) )],[refute_0_227,refute_0_429]) ).
cnf(refute_0_431,plain,
rd(x1,x1) = ld(x1,x1),
inference(subst,[],[refute_0_430:[bind(X_115,$fot(x1))]]) ).
cnf(refute_0_432,plain,
mult(x0,rd(x1,x1)) = mult(x0,rd(x1,x1)),
introduced(tautology,[refl,[$fot(mult(x0,rd(x1,x1)))]]) ).
cnf(refute_0_433,plain,
( mult(x0,rd(x1,x1)) != mult(x0,rd(x1,x1))
| rd(x1,x1) != ld(x1,x1)
| mult(x0,rd(x1,x1)) = mult(x0,ld(x1,x1)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(x0,rd(x1,x1)),mult(x0,rd(x1,x1))) ),[1,1],$fot(ld(x1,x1))]]) ).
cnf(refute_0_434,plain,
( rd(x1,x1) != ld(x1,x1)
| mult(x0,rd(x1,x1)) = mult(x0,ld(x1,x1)) ),
inference(resolve,[$cnf( $equal(mult(x0,rd(x1,x1)),mult(x0,rd(x1,x1))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
mult(x0,rd(x1,x1)) = mult(x0,ld(x1,x1)),
inference(resolve,[$cnf( $equal(rd(x1,x1),ld(x1,x1)) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
( mult(x0,ld(x1,x1)) != x0
| mult(x0,rd(x1,x1)) != mult(x0,ld(x1,x1))
| mult(x0,rd(x1,x1)) = x0 ),
introduced(tautology,[equality,[$cnf( $equal(mult(x0,rd(x1,x1)),mult(x0,ld(x1,x1))) ),[1],$fot(x0)]]) ).
cnf(refute_0_437,plain,
( mult(x0,ld(x1,x1)) != x0
| mult(x0,rd(x1,x1)) = x0 ),
inference(resolve,[$cnf( $equal(mult(x0,rd(x1,x1)),mult(x0,ld(x1,x1))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
mult(x0,ld(x1,x1)) != x0,
inference(resolve,[$cnf( $equal(mult(x0,rd(x1,x1)),x0) )],[refute_0_437,goal]) ).
cnf(refute_0_439,plain,
ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = mult(ld(rd(X_111,X_111),X_15),mult(rd(X_111,X_111),rd(X_111,X_111))),
inference(subst,[],[refute_0_366:[bind(A,$fot(rd(X_111,X_111))),bind(X_17,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_440,plain,
( ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != mult(ld(rd(X_111,X_111),X_15),mult(rd(X_111,X_111),rd(X_111,X_111)))
| mult(rd(X_111,X_111),rd(X_111,X_111)) != ld(X_111,X_111)
| ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),mult(ld(rd(X_111,X_111),X_15),mult(rd(X_111,X_111),rd(X_111,X_111)))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_441,plain,
( ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != mult(ld(rd(X_111,X_111),X_15),mult(rd(X_111,X_111),rd(X_111,X_111)))
| ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(X_111,X_111)),ld(X_111,X_111)) )],[refute_0_126,refute_0_440]) ).
cnf(refute_0_442,plain,
ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),mult(ld(rd(X_111,X_111),X_15),mult(rd(X_111,X_111),rd(X_111,X_111)))) )],[refute_0_439,refute_0_441]) ).
cnf(refute_0_443,plain,
rd(X_111,X_111) = ld(X_111,X_111),
inference(subst,[],[refute_0_430:[bind(X_115,$fot(X_111))]]) ).
cnf(refute_0_444,plain,
mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)))]]) ).
cnf(refute_0_445,plain,
( mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) != mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)),mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_446,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)),mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
mult(X_15,rd(X_111,X_111)) = mult(X_15,rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(X_15,rd(X_111,X_111)))]]) ).
cnf(refute_0_449,plain,
( mult(X_15,rd(X_111,X_111)) != mult(X_15,rd(X_111,X_111))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(X_15,rd(X_111,X_111)) = mult(X_15,ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_15,rd(X_111,X_111)),mult(X_15,rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_450,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(X_15,rd(X_111,X_111)) = mult(X_15,ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(X_15,rd(X_111,X_111)),mult(X_15,rd(X_111,X_111))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
mult(X_15,rd(X_111,X_111)) = mult(X_15,ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_450]) ).
cnf(refute_0_452,plain,
mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))]]) ).
cnf(refute_0_453,plain,
( mult(X_15,rd(X_111,X_111)) != mult(X_15,ld(X_111,X_111))
| mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) != mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))
| mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) ),[1,0],$fot(mult(X_15,ld(X_111,X_111)))]]) ).
cnf(refute_0_454,plain,
( mult(X_15,rd(X_111,X_111)) != mult(X_15,ld(X_111,X_111))
| mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)),
inference(resolve,[$cnf( $equal(mult(X_15,rd(X_111,X_111)),mult(X_15,ld(X_111,X_111))) )],[refute_0_451,refute_0_454]) ).
cnf(refute_0_456,plain,
( mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) != mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))
| mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) != mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111))
| mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))),bind(Y,$fot(mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)))),bind(Z,$fot(mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))))]]) ).
cnf(refute_0_457,plain,
( mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)) != mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))
| mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)),mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) = mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(mult(mult(X_15,ld(X_111,X_111)),rd(X_111,X_111)),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) )],[refute_0_447,refute_0_457]) ).
cnf(refute_0_459,plain,
ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))))]]) ).
cnf(refute_0_460,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))
| mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) != mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))) ),[1,1],$fot(mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)))]]) ).
cnf(refute_0_461,plain,
( mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)) != mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) )],[refute_0_458,refute_0_461]) ).
cnf(refute_0_463,plain,
ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))))]]) ).
cnf(refute_0_464,plain,
( ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))
| rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_465,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_465]) ).
cnf(refute_0_467,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)))
| ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))
| ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))))),bind(Y,$fot(ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))))),bind(Z,$fot(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)))))]]) ).
cnf(refute_0_468,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)))
| ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111)))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)))) )],[refute_0_462,refute_0_468]) ).
cnf(refute_0_470,plain,
( ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)))
| ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))) ),[0],$fot(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))))]]) ).
cnf(refute_0_471,plain,
( ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
ld(rd(X_111,X_111),X_15) = ld(rd(X_111,X_111),X_15),
introduced(tautology,[refl,[$fot(ld(rd(X_111,X_111),X_15))]]) ).
cnf(refute_0_473,plain,
( ld(rd(X_111,X_111),X_15) != ld(rd(X_111,X_111),X_15)
| rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),X_15) = ld(ld(X_111,X_111),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),X_15),ld(rd(X_111,X_111),X_15)) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_474,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),X_15) = ld(ld(X_111,X_111),X_15) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),X_15),ld(rd(X_111,X_111),X_15)) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
ld(rd(X_111,X_111),X_15) = ld(ld(X_111,X_111),X_15),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_474]) ).
cnf(refute_0_476,plain,
mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) = mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)))]]) ).
cnf(refute_0_477,plain,
( ld(rd(X_111,X_111),X_15) != ld(ld(X_111,X_111),X_15)
| mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) != mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))
| mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)),mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))) ),[1,0],$fot(ld(ld(X_111,X_111),X_15))]]) ).
cnf(refute_0_478,plain,
( ld(rd(X_111,X_111),X_15) != ld(ld(X_111,X_111),X_15)
| mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)),mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),X_15),ld(ld(X_111,X_111),X_15)) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) != mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))
| mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)) != mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))),mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))) ),[0],$fot(mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)))]]) ).
cnf(refute_0_481,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) != mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111)),mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
( ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))) != mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))),mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))) )],[refute_0_471,refute_0_481]) ).
cnf(refute_0_483,plain,
ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(mult(X_15,rd(X_111,X_111)),rd(X_111,X_111))),mult(ld(rd(X_111,X_111),X_15),ld(X_111,X_111))) )],[refute_0_442,refute_0_482]) ).
cnf(refute_0_484,plain,
rd(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)) = X_15,
inference(subst,[],[f04:[bind(A,$fot(X_15)),bind(B,$fot(ld(X_111,X_111)))]]) ).
cnf(refute_0_485,plain,
ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = mult(ld(rd(X_113,X_113),ld(X_113,X_113)),mult(X_17,rd(X_113,X_113))),
inference(subst,[],[refute_0_366:[bind(A,$fot(rd(X_113,X_113))),bind(X_15,$fot(ld(X_113,X_113)))]]) ).
cnf(refute_0_486,plain,
ld(rd(X_111,X_111),mult(rd(X_111,X_111),rd(X_111,X_111))) = rd(X_111,X_111),
inference(subst,[],[f02:[bind(A,$fot(rd(X_111,X_111))),bind(B,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_487,plain,
( ld(rd(X_111,X_111),mult(rd(X_111,X_111),rd(X_111,X_111))) != rd(X_111,X_111)
| mult(rd(X_111,X_111),rd(X_111,X_111)) != ld(X_111,X_111)
| ld(rd(X_111,X_111),ld(X_111,X_111)) = rd(X_111,X_111) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),mult(rd(X_111,X_111),rd(X_111,X_111))),rd(X_111,X_111)) ),[0,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_488,plain,
( ld(rd(X_111,X_111),mult(rd(X_111,X_111),rd(X_111,X_111))) != rd(X_111,X_111)
| ld(rd(X_111,X_111),ld(X_111,X_111)) = rd(X_111,X_111) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(X_111,X_111)),ld(X_111,X_111)) )],[refute_0_126,refute_0_487]) ).
cnf(refute_0_489,plain,
ld(rd(X_111,X_111),ld(X_111,X_111)) = rd(X_111,X_111),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(rd(X_111,X_111),rd(X_111,X_111))),rd(X_111,X_111)) )],[refute_0_486,refute_0_488]) ).
cnf(refute_0_490,plain,
ld(rd(X_113,X_113),ld(X_113,X_113)) = rd(X_113,X_113),
inference(subst,[],[refute_0_489:[bind(X_111,$fot(X_113))]]) ).
cnf(refute_0_491,plain,
( ld(rd(X_113,X_113),ld(X_113,X_113)) != rd(X_113,X_113)
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != mult(ld(rd(X_113,X_113),ld(X_113,X_113)),mult(X_17,rd(X_113,X_113)))
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),mult(ld(rd(X_113,X_113),ld(X_113,X_113)),mult(X_17,rd(X_113,X_113)))) ),[1,0],$fot(rd(X_113,X_113))]]) ).
cnf(refute_0_492,plain,
( ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != mult(ld(rd(X_113,X_113),ld(X_113,X_113)),mult(X_17,rd(X_113,X_113)))
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_113,X_113),ld(X_113,X_113)),rd(X_113,X_113)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))),
inference(resolve,[$cnf( $equal(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),mult(ld(rd(X_113,X_113),ld(X_113,X_113)),mult(X_17,rd(X_113,X_113)))) )],[refute_0_485,refute_0_492]) ).
cnf(refute_0_494,plain,
rd(X_113,X_113) = ld(X_113,X_113),
inference(subst,[],[refute_0_430:[bind(X_115,$fot(X_113))]]) ).
cnf(refute_0_495,plain,
mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)) = mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)),
introduced(tautology,[refl,[$fot(mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))]]) ).
cnf(refute_0_496,plain,
( mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)) != mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))
| rd(X_113,X_113) != ld(X_113,X_113)
| mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)) = mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) ),[1,1],$fot(ld(X_113,X_113))]]) ).
cnf(refute_0_497,plain,
( rd(X_113,X_113) != ld(X_113,X_113)
| mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)) = mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)) = mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)),
inference(resolve,[$cnf( $equal(rd(X_113,X_113),ld(X_113,X_113)) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),
introduced(tautology,[refl,[$fot(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))))]]) ).
cnf(refute_0_500,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))
| mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)) != mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))) ),[1,1],$fot(mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))]]) ).
cnf(refute_0_501,plain,
( mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)) != mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),
introduced(tautology,[refl,[$fot(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))))]]) ).
cnf(refute_0_504,plain,
( ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))
| rd(X_113,X_113) != ld(X_113,X_113)
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))) ),[1,0],$fot(ld(X_113,X_113))]]) ).
cnf(refute_0_505,plain,
( rd(X_113,X_113) != ld(X_113,X_113)
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),
inference(resolve,[$cnf( $equal(rd(X_113,X_113),ld(X_113,X_113)) )],[refute_0_494,refute_0_505]) ).
cnf(refute_0_507,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))))),bind(Y,$fot(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))))),bind(Z,$fot(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))))]]) ).
cnf(refute_0_508,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113)))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),
inference(resolve,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))) )],[refute_0_502,refute_0_508]) ).
cnf(refute_0_510,plain,
( ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))
| ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))) ),[0],$fot(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))))]]) ).
cnf(refute_0_511,plain,
( ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
mult(X_17,rd(X_113,X_113)) = mult(X_17,rd(X_113,X_113)),
introduced(tautology,[refl,[$fot(mult(X_17,rd(X_113,X_113)))]]) ).
cnf(refute_0_513,plain,
( mult(X_17,rd(X_113,X_113)) != mult(X_17,rd(X_113,X_113))
| rd(X_113,X_113) != ld(X_113,X_113)
| mult(X_17,rd(X_113,X_113)) = mult(X_17,ld(X_113,X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_17,rd(X_113,X_113)),mult(X_17,rd(X_113,X_113))) ),[1,1],$fot(ld(X_113,X_113))]]) ).
cnf(refute_0_514,plain,
( rd(X_113,X_113) != ld(X_113,X_113)
| mult(X_17,rd(X_113,X_113)) = mult(X_17,ld(X_113,X_113)) ),
inference(resolve,[$cnf( $equal(mult(X_17,rd(X_113,X_113)),mult(X_17,rd(X_113,X_113))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
mult(X_17,rd(X_113,X_113)) = mult(X_17,ld(X_113,X_113)),
inference(resolve,[$cnf( $equal(rd(X_113,X_113),ld(X_113,X_113)) )],[refute_0_494,refute_0_514]) ).
cnf(refute_0_516,plain,
mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))),
introduced(tautology,[refl,[$fot(mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))))]]) ).
cnf(refute_0_517,plain,
( mult(X_17,rd(X_113,X_113)) != mult(X_17,ld(X_113,X_113))
| mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113)))
| mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113)))) ),[1,1],$fot(mult(X_17,ld(X_113,X_113)))]]) ).
cnf(refute_0_518,plain,
( mult(X_17,rd(X_113,X_113)) != mult(X_17,ld(X_113,X_113))
| mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113)))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))),
inference(resolve,[$cnf( $equal(mult(X_17,rd(X_113,X_113)),mult(X_17,ld(X_113,X_113))) )],[refute_0_515,refute_0_518]) ).
cnf(refute_0_520,plain,
mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))),
introduced(tautology,[refl,[$fot(mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))))]]) ).
cnf(refute_0_521,plain,
( mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) != mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))
| rd(X_113,X_113) != ld(X_113,X_113)
| mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))),mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))) ),[1,0],$fot(ld(X_113,X_113))]]) ).
cnf(refute_0_522,plain,
( rd(X_113,X_113) != ld(X_113,X_113)
| mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))),mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))),
inference(resolve,[$cnf( $equal(rd(X_113,X_113),ld(X_113,X_113)) )],[refute_0_494,refute_0_522]) ).
cnf(refute_0_524,plain,
( mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113)))
| mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))))),bind(Y,$fot(mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))))),bind(Z,$fot(mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))))]]) ).
cnf(refute_0_525,plain,
( mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113)))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))),
inference(resolve,[$cnf( $equal(mult(ld(X_113,X_113),mult(X_17,rd(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))) )],[refute_0_519,refute_0_525]) ).
cnf(refute_0_527,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) != mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))
| mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))) ),[0],$fot(mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))))]]) ).
cnf(refute_0_528,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) != mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
( ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))) != mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))) )],[refute_0_511,refute_0_528]) ).
cnf(refute_0_530,plain,
ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))),
inference(resolve,[$cnf( $equal(ld(rd(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),rd(X_113,X_113))),mult(rd(X_113,X_113),mult(X_17,rd(X_113,X_113)))) )],[refute_0_493,refute_0_529]) ).
cnf(refute_0_531,plain,
mult(mult(mult(rd(X_111,X_111),rd(X_111,X_111)),C),rd(X_111,X_111)) = mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),
inference(subst,[],[f05:[bind(A,$fot(rd(X_111,X_111))),bind(B,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_532,plain,
( mult(mult(mult(rd(X_111,X_111),rd(X_111,X_111)),C),rd(X_111,X_111)) != mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(rd(X_111,X_111),rd(X_111,X_111)) != ld(X_111,X_111)
| mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) = mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(rd(X_111,X_111),rd(X_111,X_111)),C),rd(X_111,X_111)),mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) ),[0,0,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_533,plain,
( mult(mult(mult(rd(X_111,X_111),rd(X_111,X_111)),C),rd(X_111,X_111)) != mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) = mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(X_111,X_111)),ld(X_111,X_111)) )],[refute_0_126,refute_0_532]) ).
cnf(refute_0_534,plain,
mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) = mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(X_111,X_111),rd(X_111,X_111)),C),rd(X_111,X_111)),mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) )],[refute_0_531,refute_0_533]) ).
cnf(refute_0_535,plain,
mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)))]]) ).
cnf(refute_0_536,plain,
( mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) != mult(mult(ld(X_111,X_111),C),rd(X_111,X_111))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)),mult(mult(ld(X_111,X_111),C),rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_537,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)),mult(mult(ld(X_111,X_111),C),rd(X_111,X_111))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_537]) ).
cnf(refute_0_539,plain,
( mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) != mult(mult(ld(X_111,X_111),C),ld(X_111,X_111))
| mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) != mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)),mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) ),[0],$fot(mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)))]]) ).
cnf(refute_0_540,plain,
( mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) != mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)),mult(mult(ld(X_111,X_111),C),ld(X_111,X_111))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
mult(C,rd(X_111,X_111)) = mult(C,rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(C,rd(X_111,X_111)))]]) ).
cnf(refute_0_542,plain,
( mult(C,rd(X_111,X_111)) != mult(C,rd(X_111,X_111))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(C,rd(X_111,X_111)) = mult(C,ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(C,rd(X_111,X_111)),mult(C,rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_543,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(C,rd(X_111,X_111)) = mult(C,ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(C,rd(X_111,X_111)),mult(C,rd(X_111,X_111))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
mult(C,rd(X_111,X_111)) = mult(C,ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_543]) ).
cnf(refute_0_545,plain,
mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))))]]) ).
cnf(refute_0_546,plain,
( mult(C,rd(X_111,X_111)) != mult(C,ld(X_111,X_111))
| mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) != mult(ld(X_111,X_111),mult(C,rd(X_111,X_111)))
| mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))),mult(ld(X_111,X_111),mult(C,rd(X_111,X_111)))) ),[1,1],$fot(mult(C,ld(X_111,X_111)))]]) ).
cnf(refute_0_547,plain,
( mult(C,rd(X_111,X_111)) != mult(C,ld(X_111,X_111))
| mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))),mult(ld(X_111,X_111),mult(C,rd(X_111,X_111)))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(mult(C,rd(X_111,X_111)),mult(C,ld(X_111,X_111))) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))]]) ).
cnf(refute_0_550,plain,
( mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) != mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_551,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_551]) ).
cnf(refute_0_553,plain,
( mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) != mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))
| mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) != mult(ld(X_111,X_111),mult(C,rd(X_111,X_111)))
| mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))),bind(Y,$fot(mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))))),bind(Z,$fot(mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))))]]) ).
cnf(refute_0_554,plain,
( mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))) != mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))
| mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))),mult(ld(X_111,X_111),mult(C,rd(X_111,X_111)))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) = mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),mult(C,rd(X_111,X_111))),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) )],[refute_0_548,refute_0_554]) ).
cnf(refute_0_556,plain,
mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),
introduced(tautology,[refl,[$fot(mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))))]]) ).
cnf(refute_0_557,plain,
( mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) != mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) != mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))
| mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) ),[1,1],$fot(mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))]]) ).
cnf(refute_0_558,plain,
( mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))) != mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))
| mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) )],[refute_0_555,refute_0_558]) ).
cnf(refute_0_560,plain,
mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),
introduced(tautology,[refl,[$fot(mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))))]]) ).
cnf(refute_0_561,plain,
( mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) != mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_562,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_562]) ).
cnf(refute_0_564,plain,
( mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) != mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))
| mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) != mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))))),bind(Y,$fot(mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))))),bind(Z,$fot(mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))))]]) ).
cnf(refute_0_565,plain,
( mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) != mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))
| mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))) )],[refute_0_559,refute_0_565]) ).
cnf(refute_0_567,plain,
( mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) != mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))) != mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)),mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))) ),[0],$fot(mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))))]]) ).
cnf(refute_0_568,plain,
( mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) != mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111)))),mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
( mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)) != mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)),mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) )],[refute_0_540,refute_0_568]) ).
cnf(refute_0_570,plain,
mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),rd(X_111,X_111)),mult(rd(X_111,X_111),mult(rd(X_111,X_111),mult(C,rd(X_111,X_111))))) )],[refute_0_534,refute_0_569]) ).
cnf(refute_0_571,plain,
rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),rd(A,mult(rd(X_111,X_111),rd(X_111,X_111)))),rd(X_111,X_111)),
inference(subst,[],[refute_0_79:[bind(X_21,$fot(rd(X_111,X_111))),bind(X_23,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_572,plain,
( mult(rd(X_111,X_111),rd(X_111,X_111)) != ld(X_111,X_111)
| rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),rd(A,mult(rd(X_111,X_111),rd(X_111,X_111)))),rd(X_111,X_111))
| rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),rd(A,mult(rd(X_111,X_111),rd(X_111,X_111)))),rd(X_111,X_111))) ),[1,0,1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_573,plain,
( rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),rd(A,mult(rd(X_111,X_111),rd(X_111,X_111)))),rd(X_111,X_111))
| rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(X_111,X_111)),ld(X_111,X_111)) )],[refute_0_126,refute_0_572]) ).
cnf(refute_0_574,plain,
rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),rd(A,mult(rd(X_111,X_111),rd(X_111,X_111)))),rd(X_111,X_111))) )],[refute_0_571,refute_0_573]) ).
cnf(refute_0_575,plain,
rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) = mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))),
inference(subst,[],[refute_0_178:[bind(A,$fot(X_111)),bind(X_59,$fot(A)),bind(X_61,$fot(X_111))]]) ).
cnf(refute_0_576,plain,
( rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) != mult(X_111,rd(ld(X_111,A),rd(X_111,X_111)))
| rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) ),[0],$fot(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))))]]) ).
cnf(refute_0_577,plain,
( rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)),mult(X_111,rd(ld(X_111,A),rd(X_111,X_111)))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_111,X_111),A),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) = mult(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),
inference(subst,[],[refute_0_122:[bind(X_28,$fot(ld(X_115,X_115))),bind(X_29,$fot(mult(X_115,rd(X_115,X_115))))]]) ).
cnf(refute_0_580,plain,
( mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))) != mult(X_115,rd(X_115,X_115))
| rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) != mult(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) = mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)),mult(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) ),[1,0],$fot(mult(X_115,rd(X_115,X_115)))]]) ).
cnf(refute_0_581,plain,
( rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) != mult(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) = mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),mult(X_115,rd(X_115,X_115))) )],[refute_0_224,refute_0_580]) ).
cnf(refute_0_582,plain,
rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) = mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)),mult(mult(ld(X_115,X_115),mult(X_115,rd(X_115,X_115))),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) )],[refute_0_579,refute_0_581]) ).
cnf(refute_0_583,plain,
mult(mult(ld(X_115,X_115),rd(B,X_115)),X_115) = mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)),
inference(subst,[],[refute_0_273:[bind(A,$fot(B)),bind(X_15,$fot(ld(X_115,X_115))),bind(X_16,$fot(X_115))]]) ).
cnf(refute_0_584,plain,
rd(mult(ld(X_46,B),X_44),ld(X_46,B)) = mult(mult(ld(X_46,B),rd(X_44,mult(X_46,ld(X_46,B)))),X_46),
inference(subst,[],[refute_0_79:[bind(A,$fot(X_44)),bind(X_21,$fot(ld(X_46,B))),bind(X_23,$fot(X_46))]]) ).
cnf(refute_0_585,plain,
mult(X_46,ld(X_46,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_46))]]) ).
cnf(refute_0_586,plain,
( mult(X_46,ld(X_46,B)) != B
| rd(mult(ld(X_46,B),X_44),ld(X_46,B)) != mult(mult(ld(X_46,B),rd(X_44,mult(X_46,ld(X_46,B)))),X_46)
| rd(mult(ld(X_46,B),X_44),ld(X_46,B)) = mult(mult(ld(X_46,B),rd(X_44,B)),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_46,B),X_44),ld(X_46,B)),mult(mult(ld(X_46,B),rd(X_44,mult(X_46,ld(X_46,B)))),X_46)) ),[1,0,1,1],$fot(B)]]) ).
cnf(refute_0_587,plain,
( rd(mult(ld(X_46,B),X_44),ld(X_46,B)) != mult(mult(ld(X_46,B),rd(X_44,mult(X_46,ld(X_46,B)))),X_46)
| rd(mult(ld(X_46,B),X_44),ld(X_46,B)) = mult(mult(ld(X_46,B),rd(X_44,B)),X_46) ),
inference(resolve,[$cnf( $equal(mult(X_46,ld(X_46,B)),B) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
rd(mult(ld(X_46,B),X_44),ld(X_46,B)) = mult(mult(ld(X_46,B),rd(X_44,B)),X_46),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_46,B),X_44),ld(X_46,B)),mult(mult(ld(X_46,B),rd(X_44,mult(X_46,ld(X_46,B)))),X_46)) )],[refute_0_584,refute_0_587]) ).
cnf(refute_0_589,plain,
rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) = mult(mult(ld(X_115,X_115),rd(B,X_115)),X_115),
inference(subst,[],[refute_0_588:[bind(B,$fot(X_115)),bind(X_44,$fot(B)),bind(X_46,$fot(X_115))]]) ).
cnf(refute_0_590,plain,
( mult(mult(ld(X_115,X_115),rd(B,X_115)),X_115) != mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B))
| rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) != mult(mult(ld(X_115,X_115),rd(B,X_115)),X_115)
| rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) = mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)))),bind(Y,$fot(mult(mult(ld(X_115,X_115),rd(B,X_115)),X_115))),bind(Z,$fot(mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B))))]]) ).
cnf(refute_0_591,plain,
( mult(mult(ld(X_115,X_115),rd(B,X_115)),X_115) != mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B))
| rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) = mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) ),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)),mult(mult(ld(X_115,X_115),rd(B,X_115)),X_115)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) = mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_115,X_115),rd(B,X_115)),X_115),mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B))) )],[refute_0_583,refute_0_591]) ).
cnf(refute_0_593,plain,
( rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) != mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B))
| rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) != mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) = mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)),mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) ),[0],$fot(mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)))]]) ).
cnf(refute_0_594,plain,
( rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)) != mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) = mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) ),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)),mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) = mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),
inference(resolve,[$cnf( $equal(rd(mult(ld(X_115,X_115),B),ld(X_115,X_115)),mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) )],[refute_0_582,refute_0_594]) ).
cnf(refute_0_596,plain,
ld(mult(X_115,rd(X_115,X_115)),B) = ld(mult(X_115,rd(X_115,X_115)),B),
introduced(tautology,[refl,[$fot(ld(mult(X_115,rd(X_115,X_115)),B))]]) ).
cnf(refute_0_597,plain,
( ld(mult(X_115,rd(X_115,X_115)),B) != ld(mult(X_115,rd(X_115,X_115)),B)
| mult(X_115,rd(X_115,X_115)) != X_115
| ld(mult(X_115,rd(X_115,X_115)),B) = ld(X_115,B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_115,rd(X_115,X_115)),B),ld(mult(X_115,rd(X_115,X_115)),B)) ),[1,0],$fot(X_115)]]) ).
cnf(refute_0_598,plain,
( mult(X_115,rd(X_115,X_115)) != X_115
| ld(mult(X_115,rd(X_115,X_115)),B) = ld(X_115,B) ),
inference(resolve,[$cnf( $equal(ld(mult(X_115,rd(X_115,X_115)),B),ld(mult(X_115,rd(X_115,X_115)),B)) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
ld(mult(X_115,rd(X_115,X_115)),B) = ld(X_115,B),
inference(resolve,[$cnf( $equal(mult(X_115,rd(X_115,X_115)),X_115) )],[refute_0_416,refute_0_598]) ).
cnf(refute_0_600,plain,
rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)) = rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)),
introduced(tautology,[refl,[$fot(rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))]]) ).
cnf(refute_0_601,plain,
( ld(mult(X_115,rd(X_115,X_115)),B) != ld(X_115,B)
| rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)) != rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))
| rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)) = rd(ld(X_115,B),ld(X_115,X_115)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) ),[1,0],$fot(ld(X_115,B))]]) ).
cnf(refute_0_602,plain,
( ld(mult(X_115,rd(X_115,X_115)),B) != ld(X_115,B)
| rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)) = rd(ld(X_115,B),ld(X_115,X_115)) ),
inference(resolve,[$cnf( $equal(rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)) = rd(ld(X_115,B),ld(X_115,X_115)),
inference(resolve,[$cnf( $equal(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,B)) )],[refute_0_599,refute_0_602]) ).
cnf(refute_0_604,plain,
mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),
introduced(tautology,[refl,[$fot(mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))))]]) ).
cnf(refute_0_605,plain,
( mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) != mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)) != rd(ld(X_115,B),ld(X_115,X_115))
| mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) ),[1,1],$fot(rd(ld(X_115,B),ld(X_115,X_115)))]]) ).
cnf(refute_0_606,plain,
( rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)) != rd(ld(X_115,B),ld(X_115,X_115))
| mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))) ),
inference(resolve,[$cnf( $equal(mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))),
inference(resolve,[$cnf( $equal(rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)),rd(ld(X_115,B),ld(X_115,X_115))) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),
introduced(tautology,[refl,[$fot(mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))))]]) ).
cnf(refute_0_609,plain,
( mult(X_115,rd(X_115,X_115)) != X_115
| mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) != mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) ),[1,0],$fot(X_115)]]) ).
cnf(refute_0_610,plain,
( mult(X_115,rd(X_115,X_115)) != X_115
| mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),
inference(resolve,[$cnf( $equal(mult(X_115,rd(X_115,X_115)),X_115) )],[refute_0_416,refute_0_610]) ).
cnf(refute_0_612,plain,
( mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) != mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))
| mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) != mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))))),bind(Y,$fot(mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))))),bind(Z,$fot(mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))))]]) ).
cnf(refute_0_613,plain,
( mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) != mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))
| mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))),
inference(resolve,[$cnf( $equal(mult(X_115,rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))) )],[refute_0_607,refute_0_613]) ).
cnf(refute_0_615,plain,
( mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) != mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))) != mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))
| mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)),mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))) ),[0],$fot(mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))))]]) ).
cnf(refute_0_616,plain,
( mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) != mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))
| mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115))),mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) = mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))),
inference(resolve,[$cnf( $equal(mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)),mult(mult(X_115,rd(X_115,X_115)),rd(ld(mult(X_115,rd(X_115,X_115)),B),ld(X_115,X_115)))) )],[refute_0_595,refute_0_616]) ).
cnf(refute_0_618,plain,
( mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) != mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))
| mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))) = mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)))),bind(Y,$fot(mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))))]]) ).
cnf(refute_0_619,plain,
mult(X_115,rd(ld(X_115,B),ld(X_115,X_115))) = mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)),
inference(resolve,[$cnf( $equal(mult(X_115,mult(ld(X_115,ld(X_115,X_115)),B)),mult(X_115,rd(ld(X_115,B),ld(X_115,X_115)))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
mult(X_111,rd(ld(X_111,A),ld(X_111,X_111))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)),
inference(subst,[],[refute_0_619:[bind(B,$fot(A)),bind(X_115,$fot(X_111))]]) ).
cnf(refute_0_621,plain,
rd(ld(X_111,A),rd(X_111,X_111)) = rd(ld(X_111,A),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(rd(ld(X_111,A),rd(X_111,X_111)))]]) ).
cnf(refute_0_622,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| rd(ld(X_111,A),rd(X_111,X_111)) != rd(ld(X_111,A),rd(X_111,X_111))
| rd(ld(X_111,A),rd(X_111,X_111)) = rd(ld(X_111,A),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_111,A),rd(X_111,X_111)),rd(ld(X_111,A),rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_623,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| rd(ld(X_111,A),rd(X_111,X_111)) = rd(ld(X_111,A),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_111,A),rd(X_111,X_111)),rd(ld(X_111,A),rd(X_111,X_111))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
rd(ld(X_111,A),rd(X_111,X_111)) = rd(ld(X_111,A),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_623]) ).
cnf(refute_0_625,plain,
mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))))]]) ).
cnf(refute_0_626,plain,
( mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) != mult(X_111,rd(ld(X_111,A),rd(X_111,X_111)))
| rd(ld(X_111,A),rd(X_111,X_111)) != rd(ld(X_111,A),ld(X_111,X_111))
| mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,A),ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,A),rd(X_111,X_111)))) ),[1,1],$fot(rd(ld(X_111,A),ld(X_111,X_111)))]]) ).
cnf(refute_0_627,plain,
( rd(ld(X_111,A),rd(X_111,X_111)) != rd(ld(X_111,A),ld(X_111,X_111))
| mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,A),ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,A),rd(X_111,X_111)))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,A),ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(ld(X_111,A),rd(X_111,X_111)),rd(ld(X_111,A),ld(X_111,X_111))) )],[refute_0_624,refute_0_627]) ).
cnf(refute_0_629,plain,
( mult(X_111,rd(ld(X_111,A),ld(X_111,X_111))) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A))
| mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) != mult(X_111,rd(ld(X_111,A),ld(X_111,X_111)))
| mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))))),bind(Y,$fot(mult(X_111,rd(ld(X_111,A),ld(X_111,X_111))))),bind(Z,$fot(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A))))]]) ).
cnf(refute_0_630,plain,
( mult(X_111,rd(ld(X_111,A),ld(X_111,X_111))) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A))
| mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) ),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,A),ld(X_111,X_111)))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,A),ld(X_111,X_111))),mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A))) )],[refute_0_620,refute_0_630]) ).
cnf(refute_0_632,plain,
( mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A))
| mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) != mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))),mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) ),[0],$fot(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)))]]) ).
cnf(refute_0_633,plain,
( mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) != mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))),mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)),
inference(subst,[],[refute_0_273:[bind(X_15,$fot(ld(X_111,X_111))),bind(X_16,$fot(ld(X_111,X_111)))]]) ).
cnf(refute_0_635,plain,
mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)))]]) ).
cnf(refute_0_636,plain,
( mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) != mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_637,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_637]) ).
cnf(refute_0_639,plain,
mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))) = mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),
introduced(tautology,[refl,[$fot(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))))]]) ).
cnf(refute_0_640,plain,
( mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))) != mult(rd(X_111,X_111),rd(A,ld(X_111,X_111)))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))) = mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),mult(rd(X_111,X_111),rd(A,ld(X_111,X_111)))) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_641,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))) = mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),mult(rd(X_111,X_111),rd(A,ld(X_111,X_111)))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))) = mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_641]) ).
cnf(refute_0_643,plain,
mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)))]]) ).
cnf(refute_0_644,plain,
( mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))) != mult(ld(X_111,X_111),rd(A,ld(X_111,X_111)))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) ),[1,0],$fot(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))))]]) ).
cnf(refute_0_645,plain,
( mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))) != mult(ld(X_111,X_111),rd(A,ld(X_111,X_111)))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),mult(ld(X_111,X_111),rd(A,ld(X_111,X_111)))) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
( mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) != mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) != mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)))),bind(Y,$fot(mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)))),bind(Z,$fot(mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111))))]]) ).
cnf(refute_0_648,plain,
( mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) != mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111))) )],[refute_0_638,refute_0_648]) ).
cnf(refute_0_650,plain,
( mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)) != mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) != mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)))),bind(Y,$fot(mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)))),bind(Z,$fot(mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))))]]) ).
cnf(refute_0_651,plain,
( mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)) != mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),rd(A,ld(X_111,X_111))),ld(X_111,X_111)),mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))) )],[refute_0_634,refute_0_651]) ).
cnf(refute_0_653,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) != mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)) != mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)),mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))) ),[0],$fot(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)))]]) ).
cnf(refute_0_654,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) != mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111)),mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
( mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))) != mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) ),
inference(resolve,[$cnf( $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)),mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) )],[refute_0_633,refute_0_654]) ).
cnf(refute_0_656,plain,
mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,A),rd(X_111,X_111))),mult(mult(rd(X_111,X_111),rd(A,ld(X_111,X_111))),rd(X_111,X_111))) )],[refute_0_578,refute_0_655]) ).
cnf(refute_0_657,plain,
ld(rd(X_111,X_111),ld(X_111,X_111)) = ld(rd(X_111,X_111),ld(X_111,X_111)),
introduced(tautology,[refl,[$fot(ld(rd(X_111,X_111),ld(X_111,X_111)))]]) ).
cnf(refute_0_658,plain,
( ld(rd(X_111,X_111),ld(X_111,X_111)) != ld(rd(X_111,X_111),ld(X_111,X_111))
| rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),ld(X_111,X_111)) = ld(ld(X_111,X_111),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),ld(X_111,X_111)),ld(rd(X_111,X_111),ld(X_111,X_111))) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_659,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),ld(X_111,X_111)) = ld(ld(X_111,X_111),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),ld(X_111,X_111)),ld(rd(X_111,X_111),ld(X_111,X_111))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
ld(rd(X_111,X_111),ld(X_111,X_111)) = ld(ld(X_111,X_111),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_659]) ).
cnf(refute_0_661,plain,
( ld(rd(X_111,X_111),ld(X_111,X_111)) != ld(ld(X_111,X_111),ld(X_111,X_111))
| ld(rd(X_111,X_111),ld(X_111,X_111)) != rd(X_111,X_111)
| ld(ld(X_111,X_111),ld(X_111,X_111)) = rd(X_111,X_111) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),ld(X_111,X_111)),rd(X_111,X_111)) ),[0],$fot(ld(ld(X_111,X_111),ld(X_111,X_111)))]]) ).
cnf(refute_0_662,plain,
( ld(rd(X_111,X_111),ld(X_111,X_111)) != rd(X_111,X_111)
| ld(ld(X_111,X_111),ld(X_111,X_111)) = rd(X_111,X_111) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),ld(X_111,X_111)),ld(ld(X_111,X_111),ld(X_111,X_111))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
( ld(ld(X_111,X_111),ld(X_111,X_111)) != rd(X_111,X_111)
| rd(X_111,X_111) != ld(X_111,X_111)
| ld(ld(X_111,X_111),ld(X_111,X_111)) = ld(X_111,X_111) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_111,X_111),ld(X_111,X_111)),ld(X_111,X_111)) ),[0],$fot(rd(X_111,X_111))]]) ).
cnf(refute_0_664,plain,
( ld(ld(X_111,X_111),ld(X_111,X_111)) != rd(X_111,X_111)
| ld(ld(X_111,X_111),ld(X_111,X_111)) = ld(X_111,X_111) ),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_663]) ).
cnf(refute_0_665,plain,
( ld(rd(X_111,X_111),ld(X_111,X_111)) != rd(X_111,X_111)
| ld(ld(X_111,X_111),ld(X_111,X_111)) = ld(X_111,X_111) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(X_111,X_111)),rd(X_111,X_111)) )],[refute_0_662,refute_0_664]) ).
cnf(refute_0_666,plain,
ld(ld(X_111,X_111),ld(X_111,X_111)) = ld(X_111,X_111),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),ld(X_111,X_111)),rd(X_111,X_111)) )],[refute_0_489,refute_0_665]) ).
cnf(refute_0_667,plain,
mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A) = mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A),
introduced(tautology,[refl,[$fot(mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))]]) ).
cnf(refute_0_668,plain,
( ld(ld(X_111,X_111),ld(X_111,X_111)) != ld(X_111,X_111)
| mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A) != mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)
| mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A) = mult(ld(X_111,X_111),A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_669,plain,
( ld(ld(X_111,X_111),ld(X_111,X_111)) != ld(X_111,X_111)
| mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A) = mult(ld(X_111,X_111),A) ),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A) = mult(ld(X_111,X_111),A),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(X_111,X_111)),ld(X_111,X_111)) )],[refute_0_666,refute_0_669]) ).
cnf(refute_0_671,plain,
mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)),
introduced(tautology,[refl,[$fot(mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)))]]) ).
cnf(refute_0_672,plain,
( mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) != mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))
| mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A) != mult(ld(X_111,X_111),A)
| mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)),mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))) ),[1,1],$fot(mult(ld(X_111,X_111),A))]]) ).
cnf(refute_0_673,plain,
( mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A) != mult(ld(X_111,X_111),A)
| mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),A)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)),mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),A)),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A),mult(ld(X_111,X_111),A)) )],[refute_0_670,refute_0_673]) ).
cnf(refute_0_675,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) != mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))
| mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)) != mult(ld(X_111,X_111),mult(ld(X_111,X_111),A))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)),mult(ld(X_111,X_111),mult(ld(X_111,X_111),A))) ),[0],$fot(mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)))]]) ).
cnf(refute_0_676,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) != mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),A)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A)),mult(ld(X_111,X_111),mult(ld(X_111,X_111),A))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) = mult(ld(X_111,X_111),mult(ld(X_111,X_111),A)),
inference(resolve,[$cnf( $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)),mult(ld(X_111,X_111),mult(ld(ld(X_111,X_111),ld(X_111,X_111)),A))) )],[refute_0_656,refute_0_676]) ).
cnf(refute_0_678,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) != mult(ld(X_111,X_111),mult(ld(X_111,X_111),A))
| mult(ld(X_111,X_111),mult(ld(X_111,X_111),A)) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)))),bind(Y,$fot(mult(ld(X_111,X_111),mult(ld(X_111,X_111),A))))]]) ).
cnf(refute_0_679,plain,
mult(ld(X_111,X_111),mult(ld(X_111,X_111),A)) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)),
inference(resolve,[$cnf( $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),A)),mult(ld(X_111,X_111),mult(ld(X_111,X_111),A))) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111)))),
inference(subst,[],[refute_0_679:[bind(A,$fot(mult(C,ld(X_111,X_111))))]]) ).
cnf(refute_0_681,plain,
( mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) != mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)),mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))) ),[1],$fot(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111)))))]]) ).
cnf(refute_0_682,plain,
( mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) != mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111)))),mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111))))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111)))),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)),mult(ld(X_111,X_111),mult(ld(X_111,X_111),mult(C,ld(X_111,X_111))))) )],[refute_0_570,refute_0_682]) ).
cnf(refute_0_684,plain,
rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) = mult(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))),
inference(subst,[],[refute_0_122:[bind(X_28,$fot(rd(X_111,X_111))),bind(X_29,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_685,plain,
( mult(rd(X_111,X_111),rd(X_111,X_111)) != ld(X_111,X_111)
| rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_686,plain,
( rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) != mult(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(X_111,X_111)),ld(X_111,X_111)) )],[refute_0_126,refute_0_685]) ).
cnf(refute_0_687,plain,
rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)),mult(mult(rd(X_111,X_111),rd(X_111,X_111)),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) )],[refute_0_684,refute_0_686]) ).
cnf(refute_0_688,plain,
rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) = mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))),
inference(subst,[],[refute_0_178:[bind(A,$fot(X_111)),bind(X_59,$fot(B)),bind(X_61,$fot(X_111))]]) ).
cnf(refute_0_689,plain,
( rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) != mult(X_111,rd(ld(X_111,B),rd(X_111,X_111)))
| rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) != mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)),mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) ),[0],$fot(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))))]]) ).
cnf(refute_0_690,plain,
( rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)) != mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)),mult(X_111,rd(ld(X_111,B),rd(X_111,X_111)))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_111,X_111),B),rd(X_111,X_111)),mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) )],[refute_0_687,refute_0_690]) ).
cnf(refute_0_692,plain,
mult(X_111,rd(ld(X_111,B),ld(X_111,X_111))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)),
inference(subst,[],[refute_0_619:[bind(X_115,$fot(X_111))]]) ).
cnf(refute_0_693,plain,
rd(ld(X_111,B),rd(X_111,X_111)) = rd(ld(X_111,B),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(rd(ld(X_111,B),rd(X_111,X_111)))]]) ).
cnf(refute_0_694,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| rd(ld(X_111,B),rd(X_111,X_111)) != rd(ld(X_111,B),rd(X_111,X_111))
| rd(ld(X_111,B),rd(X_111,X_111)) = rd(ld(X_111,B),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_111,B),rd(X_111,X_111)),rd(ld(X_111,B),rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_695,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| rd(ld(X_111,B),rd(X_111,X_111)) = rd(ld(X_111,B),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_111,B),rd(X_111,X_111)),rd(ld(X_111,B),rd(X_111,X_111))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
rd(ld(X_111,B),rd(X_111,X_111)) = rd(ld(X_111,B),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_695]) ).
cnf(refute_0_697,plain,
mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))))]]) ).
cnf(refute_0_698,plain,
( mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) != mult(X_111,rd(ld(X_111,B),rd(X_111,X_111)))
| rd(ld(X_111,B),rd(X_111,X_111)) != rd(ld(X_111,B),ld(X_111,X_111))
| mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,B),ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,B),rd(X_111,X_111)))) ),[1,1],$fot(rd(ld(X_111,B),ld(X_111,X_111)))]]) ).
cnf(refute_0_699,plain,
( rd(ld(X_111,B),rd(X_111,X_111)) != rd(ld(X_111,B),ld(X_111,X_111))
| mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,B),ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,B),rd(X_111,X_111)))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(X_111,rd(ld(X_111,B),ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(ld(X_111,B),rd(X_111,X_111)),rd(ld(X_111,B),ld(X_111,X_111))) )],[refute_0_696,refute_0_699]) ).
cnf(refute_0_701,plain,
( mult(X_111,rd(ld(X_111,B),ld(X_111,X_111))) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B))
| mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) != mult(X_111,rd(ld(X_111,B),ld(X_111,X_111)))
| mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))))),bind(Y,$fot(mult(X_111,rd(ld(X_111,B),ld(X_111,X_111))))),bind(Z,$fot(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B))))]]) ).
cnf(refute_0_702,plain,
( mult(X_111,rd(ld(X_111,B),ld(X_111,X_111))) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B))
| mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) ),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))),mult(X_111,rd(ld(X_111,B),ld(X_111,X_111)))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) = mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,B),ld(X_111,X_111))),mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B))) )],[refute_0_692,refute_0_702]) ).
cnf(refute_0_704,plain,
( mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B))
| mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) != mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))),mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) ),[0],$fot(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)))]]) ).
cnf(refute_0_705,plain,
( mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) != mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))),mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)))]]) ).
cnf(refute_0_707,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) != rd(ld(ld(X_111,X_111),B),rd(X_111,X_111))
| rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)),rd(ld(ld(X_111,X_111),B),rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_708,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)),rd(ld(ld(X_111,X_111),B),rd(X_111,X_111))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_708]) ).
cnf(refute_0_710,plain,
ld(rd(X_111,X_111),B) = ld(rd(X_111,X_111),B),
introduced(tautology,[refl,[$fot(ld(rd(X_111,X_111),B))]]) ).
cnf(refute_0_711,plain,
( ld(rd(X_111,X_111),B) != ld(rd(X_111,X_111),B)
| rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),B) = ld(ld(X_111,X_111),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),B),ld(rd(X_111,X_111),B)) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_712,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),B) = ld(ld(X_111,X_111),B) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),B),ld(rd(X_111,X_111),B)) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
ld(rd(X_111,X_111),B) = ld(ld(X_111,X_111),B),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_712]) ).
cnf(refute_0_714,plain,
rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))]]) ).
cnf(refute_0_715,plain,
( ld(rd(X_111,X_111),B) != ld(ld(X_111,X_111),B)
| rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) != rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))
| rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) ),[1,0],$fot(ld(ld(X_111,X_111),B))]]) ).
cnf(refute_0_716,plain,
( ld(rd(X_111,X_111),B) != ld(ld(X_111,X_111),B)
| rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),B),ld(ld(X_111,X_111),B)) )],[refute_0_713,refute_0_716]) ).
cnf(refute_0_718,plain,
( rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) != rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))
| rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) != rd(ld(ld(X_111,X_111),B),rd(X_111,X_111))
| rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))),bind(Y,$fot(rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)))),bind(Z,$fot(rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))))]]) ).
cnf(refute_0_719,plain,
( rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)) != rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))
| rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)),rd(ld(ld(X_111,X_111),B),rd(X_111,X_111))) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) = rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(ld(ld(X_111,X_111),B),rd(X_111,X_111)),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) )],[refute_0_709,refute_0_719]) ).
cnf(refute_0_721,plain,
mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) = mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))))]]) ).
cnf(refute_0_722,plain,
( mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) != mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) != rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))
| mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) = mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))),mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) ),[1,1],$fot(rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))]]) ).
cnf(refute_0_723,plain,
( rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)) != rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))
| mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) = mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))),mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) = mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) )],[refute_0_720,refute_0_723]) ).
cnf(refute_0_725,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) != mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))) != mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)),mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))) ),[0],$fot(mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))))]]) ).
cnf(refute_0_726,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) != mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111))),mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
( mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))) != mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)),mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) )],[refute_0_705,refute_0_726]) ).
cnf(refute_0_728,plain,
mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(mult(X_111,rd(ld(X_111,B),rd(X_111,X_111))),mult(ld(X_111,X_111),rd(ld(rd(X_111,X_111),B),rd(X_111,X_111)))) )],[refute_0_691,refute_0_727]) ).
cnf(refute_0_729,plain,
mult(ld(X_111,X_111),ld(ld(X_111,X_111),B)) = B,
inference(subst,[],[f01:[bind(A,$fot(ld(X_111,X_111)))]]) ).
cnf(refute_0_730,plain,
mult(mult(X_15,rd(ld(X_112,X_112),rd(X_112,X_112))),rd(X_112,X_112)) = mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),
inference(subst,[],[refute_0_273:[bind(A,$fot(ld(X_112,X_112))),bind(X_16,$fot(rd(X_112,X_112)))]]) ).
cnf(refute_0_731,plain,
rd(ld(X_112,X_112),rd(X_112,X_112)) = rd(X_112,X_112),
inference(subst,[],[refute_0_191:[bind(X_111,$fot(X_112))]]) ).
cnf(refute_0_732,plain,
( mult(mult(X_15,rd(ld(X_112,X_112),rd(X_112,X_112))),rd(X_112,X_112)) != mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| rd(ld(X_112,X_112),rd(X_112,X_112)) != rd(X_112,X_112)
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,rd(ld(X_112,X_112),rd(X_112,X_112))),rd(X_112,X_112)),mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) ),[0,0,1],$fot(rd(X_112,X_112))]]) ).
cnf(refute_0_733,plain,
( mult(mult(X_15,rd(ld(X_112,X_112),rd(X_112,X_112))),rd(X_112,X_112)) != mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(resolve,[$cnf( $equal(rd(ld(X_112,X_112),rd(X_112,X_112)),rd(X_112,X_112)) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(ld(X_112,X_112),rd(X_112,X_112))),rd(X_112,X_112)),mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
rd(X_112,X_112) = ld(X_112,X_112),
inference(subst,[],[refute_0_430:[bind(X_115,$fot(X_112))]]) ).
cnf(refute_0_736,plain,
mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)),
introduced(tautology,[refl,[$fot(mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)))]]) ).
cnf(refute_0_737,plain,
( mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) != mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112))
| rd(X_112,X_112) != ld(X_112,X_112)
| mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)),mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112))) ),[1,1],$fot(ld(X_112,X_112))]]) ).
cnf(refute_0_738,plain,
( rd(X_112,X_112) != ld(X_112,X_112)
| mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)),mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)),
inference(resolve,[$cnf( $equal(rd(X_112,X_112),ld(X_112,X_112)) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
mult(X_15,rd(X_112,X_112)) = mult(X_15,rd(X_112,X_112)),
introduced(tautology,[refl,[$fot(mult(X_15,rd(X_112,X_112)))]]) ).
cnf(refute_0_741,plain,
( mult(X_15,rd(X_112,X_112)) != mult(X_15,rd(X_112,X_112))
| rd(X_112,X_112) != ld(X_112,X_112)
| mult(X_15,rd(X_112,X_112)) = mult(X_15,ld(X_112,X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_15,rd(X_112,X_112)),mult(X_15,rd(X_112,X_112))) ),[1,1],$fot(ld(X_112,X_112))]]) ).
cnf(refute_0_742,plain,
( rd(X_112,X_112) != ld(X_112,X_112)
| mult(X_15,rd(X_112,X_112)) = mult(X_15,ld(X_112,X_112)) ),
inference(resolve,[$cnf( $equal(mult(X_15,rd(X_112,X_112)),mult(X_15,rd(X_112,X_112))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
mult(X_15,rd(X_112,X_112)) = mult(X_15,ld(X_112,X_112)),
inference(resolve,[$cnf( $equal(rd(X_112,X_112),ld(X_112,X_112)) )],[refute_0_735,refute_0_742]) ).
cnf(refute_0_744,plain,
mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)),
introduced(tautology,[refl,[$fot(mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)))]]) ).
cnf(refute_0_745,plain,
( mult(X_15,rd(X_112,X_112)) != mult(X_15,ld(X_112,X_112))
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) != mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112))
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)),mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112))) ),[1,0],$fot(mult(X_15,ld(X_112,X_112)))]]) ).
cnf(refute_0_746,plain,
( mult(X_15,rd(X_112,X_112)) != mult(X_15,ld(X_112,X_112))
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)),mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)),
inference(resolve,[$cnf( $equal(mult(X_15,rd(X_112,X_112)),mult(X_15,ld(X_112,X_112))) )],[refute_0_743,refute_0_746]) ).
cnf(refute_0_748,plain,
( mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) != mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112))
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) != mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112))
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)))),bind(Y,$fot(mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)))),bind(Z,$fot(mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112))))]]) ).
cnf(refute_0_749,plain,
( mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)) != mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112))
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)),mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) = mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)),
inference(resolve,[$cnf( $equal(mult(mult(X_15,ld(X_112,X_112)),rd(X_112,X_112)),mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112))) )],[refute_0_739,refute_0_749]) ).
cnf(refute_0_751,plain,
( mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) != mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112))
| mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) != mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) = mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)),mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) ),[0],$fot(mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)))]]) ).
cnf(refute_0_752,plain,
( mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) != mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) = mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)),mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112))) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
ld(rd(X_112,X_112),X_15) = ld(rd(X_112,X_112),X_15),
introduced(tautology,[refl,[$fot(ld(rd(X_112,X_112),X_15))]]) ).
cnf(refute_0_754,plain,
( ld(rd(X_112,X_112),X_15) != ld(rd(X_112,X_112),X_15)
| rd(X_112,X_112) != ld(X_112,X_112)
| ld(rd(X_112,X_112),X_15) = ld(ld(X_112,X_112),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_112,X_112),X_15),ld(rd(X_112,X_112),X_15)) ),[1,0],$fot(ld(X_112,X_112))]]) ).
cnf(refute_0_755,plain,
( rd(X_112,X_112) != ld(X_112,X_112)
| ld(rd(X_112,X_112),X_15) = ld(ld(X_112,X_112),X_15) ),
inference(resolve,[$cnf( $equal(ld(rd(X_112,X_112),X_15),ld(rd(X_112,X_112),X_15)) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
ld(rd(X_112,X_112),X_15) = ld(ld(X_112,X_112),X_15),
inference(resolve,[$cnf( $equal(rd(X_112,X_112),ld(X_112,X_112)) )],[refute_0_735,refute_0_755]) ).
cnf(refute_0_757,plain,
mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)) = mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)),
introduced(tautology,[refl,[$fot(mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))]]) ).
cnf(refute_0_758,plain,
( ld(rd(X_112,X_112),X_15) != ld(ld(X_112,X_112),X_15)
| mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)) != mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))
| mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)) = mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) ),[1,0],$fot(ld(ld(X_112,X_112),X_15))]]) ).
cnf(refute_0_759,plain,
( ld(rd(X_112,X_112),X_15) != ld(ld(X_112,X_112),X_15)
| mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)) = mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)) ),
inference(resolve,[$cnf( $equal(mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)) = mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)),
inference(resolve,[$cnf( $equal(ld(rd(X_112,X_112),X_15),ld(ld(X_112,X_112),X_15)) )],[refute_0_756,refute_0_759]) ).
cnf(refute_0_761,plain,
mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),
introduced(tautology,[refl,[$fot(mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))))]]) ).
cnf(refute_0_762,plain,
( mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) != mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)) != mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))
| mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) ),[1,1],$fot(mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))]]) ).
cnf(refute_0_763,plain,
( mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)) != mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))
| mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))),
inference(resolve,[$cnf( $equal(mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) )],[refute_0_760,refute_0_763]) ).
cnf(refute_0_765,plain,
mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),
introduced(tautology,[refl,[$fot(mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))))]]) ).
cnf(refute_0_766,plain,
( mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) != mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| rd(X_112,X_112) != ld(X_112,X_112)
| mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) ),[1,0],$fot(ld(X_112,X_112))]]) ).
cnf(refute_0_767,plain,
( rd(X_112,X_112) != ld(X_112,X_112)
| mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),
inference(resolve,[$cnf( $equal(rd(X_112,X_112),ld(X_112,X_112)) )],[refute_0_735,refute_0_767]) ).
cnf(refute_0_769,plain,
( mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) != mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) != mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))))),bind(Y,$fot(mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))))),bind(Z,$fot(mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))))]]) ).
cnf(refute_0_770,plain,
( mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) != mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))),
inference(resolve,[$cnf( $equal(mult(ld(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_764,refute_0_770]) ).
cnf(refute_0_772,plain,
( mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) != mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))) != mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)),mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))) ),[0],$fot(mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))))]]) ).
cnf(refute_0_773,plain,
( mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) != mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112))),mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
( mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)) != mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)),mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_752,refute_0_773]) ).
cnf(refute_0_775,plain,
mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(X_112,X_112)),rd(X_112,X_112)),mult(rd(X_112,X_112),mult(ld(rd(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_734,refute_0_774]) ).
cnf(refute_0_776,plain,
rd(ld(X_76,mult(mult(rd(A,X_78),X_78),X_76)),mult(X_78,X_76)) = ld(X_76,rd(A,X_78)),
inference(subst,[],[refute_0_372:[bind(X_35,$fot(X_76)),bind(X_36,$fot(rd(A,X_78))),bind(X_37,$fot(X_78))]]) ).
cnf(refute_0_777,plain,
mult(rd(A,X_78),X_78) = A,
inference(subst,[],[f03:[bind(B,$fot(X_78))]]) ).
cnf(refute_0_778,plain,
( mult(rd(A,X_78),X_78) != A
| rd(ld(X_76,mult(mult(rd(A,X_78),X_78),X_76)),mult(X_78,X_76)) != ld(X_76,rd(A,X_78))
| rd(ld(X_76,mult(A,X_76)),mult(X_78,X_76)) = ld(X_76,rd(A,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_76,mult(mult(rd(A,X_78),X_78),X_76)),mult(X_78,X_76)),ld(X_76,rd(A,X_78))) ),[0,0,1,0],$fot(A)]]) ).
cnf(refute_0_779,plain,
( rd(ld(X_76,mult(mult(rd(A,X_78),X_78),X_76)),mult(X_78,X_76)) != ld(X_76,rd(A,X_78))
| rd(ld(X_76,mult(A,X_76)),mult(X_78,X_76)) = ld(X_76,rd(A,X_78)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_78),X_78),A) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
rd(ld(X_76,mult(A,X_76)),mult(X_78,X_76)) = ld(X_76,rd(A,X_78)),
inference(resolve,[$cnf( $equal(rd(ld(X_76,mult(mult(rd(A,X_78),X_78),X_76)),mult(X_78,X_76)),ld(X_76,rd(A,X_78))) )],[refute_0_776,refute_0_779]) ).
cnf(refute_0_781,plain,
rd(ld(ld(A,A),mult(X_179,ld(A,A))),mult(ld(A,A),ld(A,A))) = ld(ld(A,A),rd(X_179,ld(A,A))),
inference(subst,[],[refute_0_780:[bind(A,$fot(X_179)),bind(X_76,$fot(ld(A,A))),bind(X_78,$fot(ld(A,A)))]]) ).
cnf(refute_0_782,plain,
rd(A,A) = ld(A,A),
inference(subst,[],[refute_0_430:[bind(X_115,$fot(A))]]) ).
cnf(refute_0_783,plain,
mult(ld(A,A),rd(A,A)) = mult(ld(A,A),rd(A,A)),
introduced(tautology,[refl,[$fot(mult(ld(A,A),rd(A,A)))]]) ).
cnf(refute_0_784,plain,
( mult(ld(A,A),rd(A,A)) != mult(ld(A,A),rd(A,A))
| rd(A,A) != ld(A,A)
| mult(ld(A,A),rd(A,A)) = mult(ld(A,A),ld(A,A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(A,A),rd(A,A)),mult(ld(A,A),rd(A,A))) ),[1,1],$fot(ld(A,A))]]) ).
cnf(refute_0_785,plain,
( rd(A,A) != ld(A,A)
| mult(ld(A,A),rd(A,A)) = mult(ld(A,A),ld(A,A)) ),
inference(resolve,[$cnf( $equal(mult(ld(A,A),rd(A,A)),mult(ld(A,A),rd(A,A))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
mult(ld(A,A),rd(A,A)) = mult(ld(A,A),ld(A,A)),
inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
mult(rd(A,A),rd(A,A)) = mult(rd(A,A),rd(A,A)),
introduced(tautology,[refl,[$fot(mult(rd(A,A),rd(A,A)))]]) ).
cnf(refute_0_788,plain,
( mult(rd(A,A),rd(A,A)) != mult(rd(A,A),rd(A,A))
| rd(A,A) != ld(A,A)
| mult(rd(A,A),rd(A,A)) = mult(ld(A,A),rd(A,A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),rd(A,A)),mult(rd(A,A),rd(A,A))) ),[1,0],$fot(ld(A,A))]]) ).
cnf(refute_0_789,plain,
( rd(A,A) != ld(A,A)
| mult(rd(A,A),rd(A,A)) = mult(ld(A,A),rd(A,A)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),rd(A,A)),mult(rd(A,A),rd(A,A))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
mult(rd(A,A),rd(A,A)) = mult(ld(A,A),rd(A,A)),
inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_782,refute_0_789]) ).
cnf(refute_0_791,plain,
( mult(ld(A,A),rd(A,A)) != mult(ld(A,A),ld(A,A))
| mult(rd(A,A),rd(A,A)) != mult(ld(A,A),rd(A,A))
| mult(rd(A,A),rd(A,A)) = mult(ld(A,A),ld(A,A)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(rd(A,A),rd(A,A)))),bind(Y,$fot(mult(ld(A,A),rd(A,A)))),bind(Z,$fot(mult(ld(A,A),ld(A,A))))]]) ).
cnf(refute_0_792,plain,
( mult(ld(A,A),rd(A,A)) != mult(ld(A,A),ld(A,A))
| mult(rd(A,A),rd(A,A)) = mult(ld(A,A),ld(A,A)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),rd(A,A)),mult(ld(A,A),rd(A,A))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
mult(rd(A,A),rd(A,A)) = mult(ld(A,A),ld(A,A)),
inference(resolve,[$cnf( $equal(mult(ld(A,A),rd(A,A)),mult(ld(A,A),ld(A,A))) )],[refute_0_786,refute_0_792]) ).
cnf(refute_0_794,plain,
( ld(A,A) != mult(rd(A,A),rd(A,A))
| mult(rd(A,A),rd(A,A)) != mult(ld(A,A),ld(A,A))
| ld(A,A) = mult(ld(A,A),ld(A,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(A,A),mult(ld(A,A),ld(A,A))) ),[0],$fot(mult(rd(A,A),rd(A,A)))]]) ).
cnf(refute_0_795,plain,
( ld(A,A) != mult(rd(A,A),rd(A,A))
| ld(A,A) = mult(ld(A,A),ld(A,A)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),rd(A,A)),mult(ld(A,A),ld(A,A))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
ld(A,A) = mult(ld(A,A),ld(A,A)),
inference(resolve,[$cnf( $equal(ld(A,A),mult(rd(A,A),rd(A,A))) )],[refute_0_111,refute_0_795]) ).
cnf(refute_0_797,plain,
( ld(A,A) != mult(ld(A,A),ld(A,A))
| mult(ld(A,A),ld(A,A)) = ld(A,A) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(A,A))),bind(Y,$fot(mult(ld(A,A),ld(A,A))))]]) ).
cnf(refute_0_798,plain,
mult(ld(A,A),ld(A,A)) = ld(A,A),
inference(resolve,[$cnf( $equal(ld(A,A),mult(ld(A,A),ld(A,A))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
( mult(ld(A,A),ld(A,A)) != ld(A,A)
| rd(ld(ld(A,A),mult(X_179,ld(A,A))),mult(ld(A,A),ld(A,A))) != ld(ld(A,A),rd(X_179,ld(A,A)))
| rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)) = ld(ld(A,A),rd(X_179,ld(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(ld(A,A),mult(X_179,ld(A,A))),mult(ld(A,A),ld(A,A))),ld(ld(A,A),rd(X_179,ld(A,A)))) ),[0,1],$fot(ld(A,A))]]) ).
cnf(refute_0_800,plain,
( rd(ld(ld(A,A),mult(X_179,ld(A,A))),mult(ld(A,A),ld(A,A))) != ld(ld(A,A),rd(X_179,ld(A,A)))
| rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)) = ld(ld(A,A),rd(X_179,ld(A,A))) ),
inference(resolve,[$cnf( $equal(mult(ld(A,A),ld(A,A)),ld(A,A)) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)) = ld(ld(A,A),rd(X_179,ld(A,A))),
inference(resolve,[$cnf( $equal(rd(ld(ld(A,A),mult(X_179,ld(A,A))),mult(ld(A,A),ld(A,A))),ld(ld(A,A),rd(X_179,ld(A,A)))) )],[refute_0_781,refute_0_800]) ).
cnf(refute_0_802,plain,
rd(mult(X_21,mult(ld(mult(A,X_21),X_33),A)),X_21) = mult(mult(X_21,ld(mult(A,X_21),X_33)),rd(A,X_21)),
inference(subst,[],[refute_0_10:[bind(X_22,$fot(ld(mult(A,X_21),X_33)))]]) ).
cnf(refute_0_803,plain,
ld(A,mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A)))) = mult(X_20,mult(ld(mult(A,X_20),X_18),A)),
inference(subst,[],[f02:[bind(B,$fot(mult(X_20,mult(ld(mult(A,X_20),X_18),A))))]]) ).
cnf(refute_0_804,plain,
mult(mult(mult(X_12,X_13),ld(mult(X_12,X_13),B)),X_12) = mult(X_12,mult(X_13,mult(ld(mult(X_12,X_13),B),X_12))),
inference(subst,[],[f05:[bind(A,$fot(X_12)),bind(B,$fot(X_13)),bind(C,$fot(ld(mult(X_12,X_13),B)))]]) ).
cnf(refute_0_805,plain,
mult(mult(X_12,X_13),ld(mult(X_12,X_13),B)) = B,
inference(subst,[],[f01:[bind(A,$fot(mult(X_12,X_13)))]]) ).
cnf(refute_0_806,plain,
( mult(mult(X_12,X_13),ld(mult(X_12,X_13),B)) != B
| mult(mult(mult(X_12,X_13),ld(mult(X_12,X_13),B)),X_12) != mult(X_12,mult(X_13,mult(ld(mult(X_12,X_13),B),X_12)))
| mult(B,X_12) = mult(X_12,mult(X_13,mult(ld(mult(X_12,X_13),B),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_12,X_13),ld(mult(X_12,X_13),B)),X_12),mult(X_12,mult(X_13,mult(ld(mult(X_12,X_13),B),X_12)))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_807,plain,
( mult(mult(mult(X_12,X_13),ld(mult(X_12,X_13),B)),X_12) != mult(X_12,mult(X_13,mult(ld(mult(X_12,X_13),B),X_12)))
| mult(B,X_12) = mult(X_12,mult(X_13,mult(ld(mult(X_12,X_13),B),X_12))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_12,X_13),ld(mult(X_12,X_13),B)),B) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
mult(B,X_12) = mult(X_12,mult(X_13,mult(ld(mult(X_12,X_13),B),X_12))),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_12,X_13),ld(mult(X_12,X_13),B)),X_12),mult(X_12,mult(X_13,mult(ld(mult(X_12,X_13),B),X_12)))) )],[refute_0_804,refute_0_807]) ).
cnf(refute_0_809,plain,
mult(X_18,A) = mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A))),
inference(subst,[],[refute_0_808:[bind(B,$fot(X_18)),bind(X_12,$fot(A)),bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_810,plain,
( mult(X_18,A) != mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A)))
| mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A))) = mult(X_18,A) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_18,A))),bind(Y,$fot(mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A)))))]]) ).
cnf(refute_0_811,plain,
mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A))) = mult(X_18,A),
inference(resolve,[$cnf( $equal(mult(X_18,A),mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A)))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
( ld(A,mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A)))) != mult(X_20,mult(ld(mult(A,X_20),X_18),A))
| mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A))) != mult(X_18,A)
| ld(A,mult(X_18,A)) = mult(X_20,mult(ld(mult(A,X_20),X_18),A)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A)))),mult(X_20,mult(ld(mult(A,X_20),X_18),A))) ),[0,1],$fot(mult(X_18,A))]]) ).
cnf(refute_0_813,plain,
( ld(A,mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A)))) != mult(X_20,mult(ld(mult(A,X_20),X_18),A))
| ld(A,mult(X_18,A)) = mult(X_20,mult(ld(mult(A,X_20),X_18),A)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A))),mult(X_18,A)) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
ld(A,mult(X_18,A)) = mult(X_20,mult(ld(mult(A,X_20),X_18),A)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(X_20,mult(ld(mult(A,X_20),X_18),A)))),mult(X_20,mult(ld(mult(A,X_20),X_18),A))) )],[refute_0_803,refute_0_813]) ).
cnf(refute_0_815,plain,
ld(A,mult(X_33,A)) = mult(X_21,mult(ld(mult(A,X_21),X_33),A)),
inference(subst,[],[refute_0_814:[bind(X_18,$fot(X_33)),bind(X_20,$fot(X_21))]]) ).
cnf(refute_0_816,plain,
( ld(A,mult(X_33,A)) != mult(X_21,mult(ld(mult(A,X_21),X_33),A))
| mult(X_21,mult(ld(mult(A,X_21),X_33),A)) = ld(A,mult(X_33,A)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(A,mult(X_33,A)))),bind(Y,$fot(mult(X_21,mult(ld(mult(A,X_21),X_33),A))))]]) ).
cnf(refute_0_817,plain,
mult(X_21,mult(ld(mult(A,X_21),X_33),A)) = ld(A,mult(X_33,A)),
inference(resolve,[$cnf( $equal(ld(A,mult(X_33,A)),mult(X_21,mult(ld(mult(A,X_21),X_33),A))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
( mult(X_21,mult(ld(mult(A,X_21),X_33),A)) != ld(A,mult(X_33,A))
| rd(mult(X_21,mult(ld(mult(A,X_21),X_33),A)),X_21) != mult(mult(X_21,ld(mult(A,X_21),X_33)),rd(A,X_21))
| rd(ld(A,mult(X_33,A)),X_21) = mult(mult(X_21,ld(mult(A,X_21),X_33)),rd(A,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_21,mult(ld(mult(A,X_21),X_33),A)),X_21),mult(mult(X_21,ld(mult(A,X_21),X_33)),rd(A,X_21))) ),[0,0],$fot(ld(A,mult(X_33,A)))]]) ).
cnf(refute_0_819,plain,
( rd(mult(X_21,mult(ld(mult(A,X_21),X_33),A)),X_21) != mult(mult(X_21,ld(mult(A,X_21),X_33)),rd(A,X_21))
| rd(ld(A,mult(X_33,A)),X_21) = mult(mult(X_21,ld(mult(A,X_21),X_33)),rd(A,X_21)) ),
inference(resolve,[$cnf( $equal(mult(X_21,mult(ld(mult(A,X_21),X_33),A)),ld(A,mult(X_33,A))) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
rd(ld(A,mult(X_33,A)),X_21) = mult(mult(X_21,ld(mult(A,X_21),X_33)),rd(A,X_21)),
inference(resolve,[$cnf( $equal(rd(mult(X_21,mult(ld(mult(A,X_21),X_33),A)),X_21),mult(mult(X_21,ld(mult(A,X_21),X_33)),rd(A,X_21))) )],[refute_0_802,refute_0_819]) ).
cnf(refute_0_821,plain,
rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) = mult(mult(ld(X_143,X_143),ld(mult(ld(X_143,X_143),ld(X_143,X_143)),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))),
inference(subst,[],[refute_0_820:[bind(A,$fot(ld(X_143,X_143))),bind(X_21,$fot(ld(X_143,X_143)))]]) ).
cnf(refute_0_822,plain,
ld(X_143,X_143) = mult(ld(X_143,X_143),ld(X_143,X_143)),
inference(subst,[],[refute_0_796:[bind(A,$fot(X_143))]]) ).
cnf(refute_0_823,plain,
( ld(X_143,X_143) != mult(ld(X_143,X_143),ld(X_143,X_143))
| mult(ld(X_143,X_143),ld(X_143,X_143)) = ld(X_143,X_143) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(X_143,X_143))),bind(Y,$fot(mult(ld(X_143,X_143),ld(X_143,X_143))))]]) ).
cnf(refute_0_824,plain,
mult(ld(X_143,X_143),ld(X_143,X_143)) = ld(X_143,X_143),
inference(resolve,[$cnf( $equal(ld(X_143,X_143),mult(ld(X_143,X_143),ld(X_143,X_143))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
( mult(ld(X_143,X_143),ld(X_143,X_143)) != ld(X_143,X_143)
| rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) != mult(mult(ld(X_143,X_143),ld(mult(ld(X_143,X_143),ld(X_143,X_143)),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))
| rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) = mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)),mult(mult(ld(X_143,X_143),ld(mult(ld(X_143,X_143),ld(X_143,X_143)),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))) ),[1,0,1,0],$fot(ld(X_143,X_143))]]) ).
cnf(refute_0_826,plain,
( rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) != mult(mult(ld(X_143,X_143),ld(mult(ld(X_143,X_143),ld(X_143,X_143)),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))
| rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) = mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_143,X_143),ld(X_143,X_143)),ld(X_143,X_143)) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) = mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))),
inference(resolve,[$cnf( $equal(rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)),mult(mult(ld(X_143,X_143),ld(mult(ld(X_143,X_143),ld(X_143,X_143)),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))) )],[refute_0_821,refute_0_826]) ).
cnf(refute_0_828,plain,
ld(ld(X_143,X_143),ld(X_143,X_143)) = ld(X_143,X_143),
inference(subst,[],[refute_0_666:[bind(X_111,$fot(X_143))]]) ).
cnf(refute_0_829,plain,
rd(ld(X_143,X_143),ld(X_143,X_143)) = ld(ld(X_143,X_143),ld(X_143,X_143)),
inference(subst,[],[refute_0_430:[bind(X_115,$fot(ld(X_143,X_143)))]]) ).
cnf(refute_0_830,plain,
( ld(ld(X_143,X_143),ld(X_143,X_143)) != ld(X_143,X_143)
| rd(ld(X_143,X_143),ld(X_143,X_143)) != ld(ld(X_143,X_143),ld(X_143,X_143))
| rd(ld(X_143,X_143),ld(X_143,X_143)) = ld(X_143,X_143) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(rd(ld(X_143,X_143),ld(X_143,X_143)))),bind(Y,$fot(ld(ld(X_143,X_143),ld(X_143,X_143)))),bind(Z,$fot(ld(X_143,X_143)))]]) ).
cnf(refute_0_831,plain,
( ld(ld(X_143,X_143),ld(X_143,X_143)) != ld(X_143,X_143)
| rd(ld(X_143,X_143),ld(X_143,X_143)) = ld(X_143,X_143) ),
inference(resolve,[$cnf( $equal(rd(ld(X_143,X_143),ld(X_143,X_143)),ld(ld(X_143,X_143),ld(X_143,X_143))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
rd(ld(X_143,X_143),ld(X_143,X_143)) = ld(X_143,X_143),
inference(resolve,[$cnf( $equal(ld(ld(X_143,X_143),ld(X_143,X_143)),ld(X_143,X_143)) )],[refute_0_828,refute_0_831]) ).
cnf(refute_0_833,plain,
mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))),
introduced(tautology,[refl,[$fot(mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))))]]) ).
cnf(refute_0_834,plain,
( mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) != mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143)))
| rd(ld(X_143,X_143),ld(X_143,X_143)) != ld(X_143,X_143)
| mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,ld(X_143,X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))),mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143)))) ),[1,1],$fot(ld(X_143,X_143))]]) ).
cnf(refute_0_835,plain,
( rd(ld(X_143,X_143),ld(X_143,X_143)) != ld(X_143,X_143)
| mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,ld(X_143,X_143)) ),
inference(resolve,[$cnf( $equal(mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))),mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143)))) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,ld(X_143,X_143)),
inference(resolve,[$cnf( $equal(rd(ld(X_143,X_143),ld(X_143,X_143)),ld(X_143,X_143)) )],[refute_0_832,refute_0_835]) ).
cnf(refute_0_837,plain,
mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)) = X_33,
inference(subst,[],[f01:[bind(A,$fot(ld(X_143,X_143))),bind(B,$fot(X_33))]]) ).
cnf(refute_0_838,plain,
mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))),
introduced(tautology,[refl,[$fot(mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))))]]) ).
cnf(refute_0_839,plain,
( mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)) != X_33
| mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) != mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))
| mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))),mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_840,plain,
( mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)) != X_33
| mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))),mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))),
inference(resolve,[$cnf( $equal(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),X_33) )],[refute_0_837,refute_0_840]) ).
cnf(refute_0_842,plain,
( mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) != mult(X_33,ld(X_143,X_143))
| mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) != mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143)))
| mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,ld(X_143,X_143)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))))),bind(Y,$fot(mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))))),bind(Z,$fot(mult(X_33,ld(X_143,X_143))))]]) ).
cnf(refute_0_843,plain,
( mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))) != mult(X_33,ld(X_143,X_143))
| mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,ld(X_143,X_143)) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))),mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143)))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) = mult(X_33,ld(X_143,X_143)),
inference(resolve,[$cnf( $equal(mult(X_33,rd(ld(X_143,X_143),ld(X_143,X_143))),mult(X_33,ld(X_143,X_143))) )],[refute_0_836,refute_0_843]) ).
cnf(refute_0_845,plain,
( mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))) != mult(X_33,ld(X_143,X_143))
| rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) != mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))
| rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) = mult(X_33,ld(X_143,X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)),mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))) ),[1],$fot(mult(X_33,ld(X_143,X_143)))]]) ).
cnf(refute_0_846,plain,
( rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) != mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))
| rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) = mult(X_33,ld(X_143,X_143)) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143))),mult(X_33,ld(X_143,X_143))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)) = mult(X_33,ld(X_143,X_143)),
inference(resolve,[$cnf( $equal(rd(ld(ld(X_143,X_143),mult(X_33,ld(X_143,X_143))),ld(X_143,X_143)),mult(mult(ld(X_143,X_143),ld(ld(X_143,X_143),X_33)),rd(ld(X_143,X_143),ld(X_143,X_143)))) )],[refute_0_827,refute_0_846]) ).
cnf(refute_0_848,plain,
rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)) = mult(X_179,ld(A,A)),
inference(subst,[],[refute_0_847:[bind(X_143,$fot(A)),bind(X_33,$fot(X_179))]]) ).
cnf(refute_0_849,plain,
( rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)) != ld(ld(A,A),rd(X_179,ld(A,A)))
| rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)) != mult(X_179,ld(A,A))
| mult(X_179,ld(A,A)) = ld(ld(A,A),rd(X_179,ld(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)),ld(ld(A,A),rd(X_179,ld(A,A)))) ),[0],$fot(mult(X_179,ld(A,A)))]]) ).
cnf(refute_0_850,plain,
( rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)) != ld(ld(A,A),rd(X_179,ld(A,A)))
| mult(X_179,ld(A,A)) = ld(ld(A,A),rd(X_179,ld(A,A))) ),
inference(resolve,[$cnf( $equal(rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)),mult(X_179,ld(A,A))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
mult(X_179,ld(A,A)) = ld(ld(A,A),rd(X_179,ld(A,A))),
inference(resolve,[$cnf( $equal(rd(ld(ld(A,A),mult(X_179,ld(A,A))),ld(A,A)),ld(ld(A,A),rd(X_179,ld(A,A)))) )],[refute_0_801,refute_0_850]) ).
cnf(refute_0_852,plain,
mult(mult(A,ld(X_184,X_184)),ld(X_184,X_184)) = ld(ld(X_184,X_184),rd(mult(A,ld(X_184,X_184)),ld(X_184,X_184))),
inference(subst,[],[refute_0_851:[bind(A,$fot(X_184)),bind(X_179,$fot(mult(A,ld(X_184,X_184))))]]) ).
cnf(refute_0_853,plain,
rd(mult(A,ld(X_184,X_184)),ld(X_184,X_184)) = A,
inference(subst,[],[f04:[bind(B,$fot(ld(X_184,X_184)))]]) ).
cnf(refute_0_854,plain,
( mult(mult(A,ld(X_184,X_184)),ld(X_184,X_184)) != ld(ld(X_184,X_184),rd(mult(A,ld(X_184,X_184)),ld(X_184,X_184)))
| rd(mult(A,ld(X_184,X_184)),ld(X_184,X_184)) != A
| mult(mult(A,ld(X_184,X_184)),ld(X_184,X_184)) = ld(ld(X_184,X_184),A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,ld(X_184,X_184)),ld(X_184,X_184)),ld(ld(X_184,X_184),rd(mult(A,ld(X_184,X_184)),ld(X_184,X_184)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_855,plain,
( mult(mult(A,ld(X_184,X_184)),ld(X_184,X_184)) != ld(ld(X_184,X_184),rd(mult(A,ld(X_184,X_184)),ld(X_184,X_184)))
| mult(mult(A,ld(X_184,X_184)),ld(X_184,X_184)) = ld(ld(X_184,X_184),A) ),
inference(resolve,[$cnf( $equal(rd(mult(A,ld(X_184,X_184)),ld(X_184,X_184)),A) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
mult(mult(A,ld(X_184,X_184)),ld(X_184,X_184)) = ld(ld(X_184,X_184),A),
inference(resolve,[$cnf( $equal(mult(mult(A,ld(X_184,X_184)),ld(X_184,X_184)),ld(ld(X_184,X_184),rd(mult(A,ld(X_184,X_184)),ld(X_184,X_184)))) )],[refute_0_852,refute_0_855]) ).
cnf(refute_0_857,plain,
mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) = ld(ld(X_112,X_112),X_15),
inference(subst,[],[refute_0_856:[bind(A,$fot(X_15)),bind(X_184,$fot(X_112))]]) ).
cnf(refute_0_858,plain,
( mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) != ld(ld(X_112,X_112),X_15)
| mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) != mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))
| ld(ld(X_112,X_112),X_15) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)),mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))) ),[0],$fot(ld(ld(X_112,X_112),X_15))]]) ).
cnf(refute_0_859,plain,
( mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) != mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))
| ld(ld(X_112,X_112),X_15) = mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)),ld(ld(X_112,X_112),X_15)) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
mult(ld(X_184,X_184),ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184)))) = rd(X_185,ld(X_184,X_184)),
inference(subst,[],[f01:[bind(A,$fot(ld(X_184,X_184))),bind(B,$fot(rd(X_185,ld(X_184,X_184))))]]) ).
cnf(refute_0_861,plain,
mult(X_185,ld(X_184,X_184)) = ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184))),
inference(subst,[],[refute_0_851:[bind(A,$fot(X_184)),bind(X_179,$fot(X_185))]]) ).
cnf(refute_0_862,plain,
( mult(X_185,ld(X_184,X_184)) != ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184)))
| ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184))) = mult(X_185,ld(X_184,X_184)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_185,ld(X_184,X_184)))),bind(Y,$fot(ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184)))))]]) ).
cnf(refute_0_863,plain,
ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184))) = mult(X_185,ld(X_184,X_184)),
inference(resolve,[$cnf( $equal(mult(X_185,ld(X_184,X_184)),ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
( ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184))) != mult(X_185,ld(X_184,X_184))
| mult(ld(X_184,X_184),ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184)))) != rd(X_185,ld(X_184,X_184))
| mult(ld(X_184,X_184),mult(X_185,ld(X_184,X_184))) = rd(X_185,ld(X_184,X_184)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_184,X_184),ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184)))),rd(X_185,ld(X_184,X_184))) ),[0,1],$fot(mult(X_185,ld(X_184,X_184)))]]) ).
cnf(refute_0_865,plain,
( mult(ld(X_184,X_184),ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184)))) != rd(X_185,ld(X_184,X_184))
| mult(ld(X_184,X_184),mult(X_185,ld(X_184,X_184))) = rd(X_185,ld(X_184,X_184)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184))),mult(X_185,ld(X_184,X_184))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
mult(ld(X_184,X_184),mult(X_185,ld(X_184,X_184))) = rd(X_185,ld(X_184,X_184)),
inference(resolve,[$cnf( $equal(mult(ld(X_184,X_184),ld(ld(X_184,X_184),rd(X_185,ld(X_184,X_184)))),rd(X_185,ld(X_184,X_184))) )],[refute_0_860,refute_0_865]) ).
cnf(refute_0_867,plain,
mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) = rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)),
inference(subst,[],[refute_0_866:[bind(X_184,$fot(X_112)),bind(X_185,$fot(ld(ld(X_112,X_112),X_15)))]]) ).
cnf(refute_0_868,plain,
( ld(ld(X_112,X_112),X_15) != mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))
| mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) != rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))
| ld(ld(X_112,X_112),X_15) = rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_112,X_112),X_15),rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) ),[0],$fot(mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))))]]) ).
cnf(refute_0_869,plain,
( ld(ld(X_112,X_112),X_15) != mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))
| ld(ld(X_112,X_112),X_15) = rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))),rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
( mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)) != mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))
| ld(ld(X_112,X_112),X_15) = rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_112,X_112),X_15),mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_859,refute_0_869]) ).
cnf(refute_0_871,plain,
ld(ld(X_112,X_112),X_15) = rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)),
inference(resolve,[$cnf( $equal(mult(mult(X_15,ld(X_112,X_112)),ld(X_112,X_112)),mult(ld(X_112,X_112),mult(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)))) )],[refute_0_775,refute_0_870]) ).
cnf(refute_0_872,plain,
( ld(ld(X_112,X_112),X_15) != rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))
| rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)) = ld(ld(X_112,X_112),X_15) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(ld(X_112,X_112),X_15))),bind(Y,$fot(rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))))]]) ).
cnf(refute_0_873,plain,
rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112)) = ld(ld(X_112,X_112),X_15),
inference(resolve,[$cnf( $equal(ld(ld(X_112,X_112),X_15),rd(ld(ld(X_112,X_112),X_15),ld(X_112,X_112))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)) = ld(ld(X_111,X_111),B),
inference(subst,[],[refute_0_873:[bind(X_112,$fot(X_111)),bind(X_15,$fot(B))]]) ).
cnf(refute_0_875,plain,
mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) = mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))),
introduced(tautology,[refl,[$fot(mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))))]]) ).
cnf(refute_0_876,plain,
( mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) != mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))
| rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)) != ld(ld(X_111,X_111),B)
| mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) = mult(ld(X_111,X_111),ld(ld(X_111,X_111),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))),mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))) ),[1,1],$fot(ld(ld(X_111,X_111),B))]]) ).
cnf(refute_0_877,plain,
( rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)) != ld(ld(X_111,X_111),B)
| mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) = mult(ld(X_111,X_111),ld(ld(X_111,X_111),B)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))),mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) = mult(ld(X_111,X_111),ld(ld(X_111,X_111),B)),
inference(resolve,[$cnf( $equal(rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)),ld(ld(X_111,X_111),B)) )],[refute_0_874,refute_0_877]) ).
cnf(refute_0_879,plain,
( mult(ld(X_111,X_111),ld(ld(X_111,X_111),B)) != B
| mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) != mult(ld(X_111,X_111),ld(ld(X_111,X_111),B))
| mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) = B ),
inference(subst,[],[refute_0_163:[bind(X,$fot(mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))))),bind(Y,$fot(mult(ld(X_111,X_111),ld(ld(X_111,X_111),B)))),bind(Z,$fot(B))]]) ).
cnf(refute_0_880,plain,
( mult(ld(X_111,X_111),ld(ld(X_111,X_111),B)) != B
| mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) = B ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))),mult(ld(X_111,X_111),ld(ld(X_111,X_111),B))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) = B,
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),ld(ld(X_111,X_111),B)),B) )],[refute_0_729,refute_0_880]) ).
cnf(refute_0_882,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) != mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))
| mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))) != B
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = B ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)),B) ),[0],$fot(mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))))]]) ).
cnf(refute_0_883,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) != mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))
| mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = B ),
inference(resolve,[$cnf( $equal(mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111))),B) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)) = B,
inference(resolve,[$cnf( $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),B)),mult(ld(X_111,X_111),rd(ld(ld(X_111,X_111),B),ld(X_111,X_111)))) )],[refute_0_728,refute_0_883]) ).
cnf(refute_0_885,plain,
mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111)))) = mult(C,ld(X_111,X_111)),
inference(subst,[],[refute_0_884:[bind(B,$fot(mult(C,ld(X_111,X_111))))]]) ).
cnf(refute_0_886,plain,
( mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111)))) != mult(C,ld(X_111,X_111))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(C,ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)),mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111))))) ),[1],$fot(mult(C,ld(X_111,X_111)))]]) ).
cnf(refute_0_887,plain,
( mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) != mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111))))
| mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(C,ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111)))),mult(C,ld(X_111,X_111))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)) = mult(C,ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_111,X_111),C),ld(X_111,X_111)),mult(X_111,mult(ld(X_111,ld(X_111,X_111)),mult(C,ld(X_111,X_111))))) )],[refute_0_683,refute_0_887]) ).
cnf(refute_0_889,plain,
mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)) = mult(X_17,ld(X_113,X_113)),
inference(subst,[],[refute_0_888:[bind(C,$fot(X_17)),bind(X_111,$fot(X_113))]]) ).
cnf(refute_0_890,plain,
ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),
introduced(tautology,[refl,[$fot(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))))]]) ).
cnf(refute_0_891,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) != ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))
| mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)) != mult(X_17,ld(X_113,X_113))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))) ),[1,1],$fot(mult(X_17,ld(X_113,X_113)))]]) ).
cnf(refute_0_892,plain,
( mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)) != mult(X_17,ld(X_113,X_113))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)))) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) = ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113)),mult(X_17,ld(X_113,X_113))) )],[refute_0_889,refute_0_892]) ).
cnf(refute_0_894,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) != ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))) ),[0],$fot(ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))))]]) ).
cnf(refute_0_895,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) = mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) = rd(X_17,ld(X_113,X_113)),
inference(subst,[],[refute_0_866:[bind(X_184,$fot(X_113)),bind(X_185,$fot(X_17))]]) ).
cnf(refute_0_897,plain,
( ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) != rd(X_17,ld(X_113,X_113))
| ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) = rd(X_17,ld(X_113,X_113)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))),rd(X_17,ld(X_113,X_113))) ),[0],$fot(mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))))]]) ).
cnf(refute_0_898,plain,
( ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) = rd(X_17,ld(X_113,X_113)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))),rd(X_17,ld(X_113,X_113))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
( ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))) != mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))
| ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) = rd(X_17,ld(X_113,X_113)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))) )],[refute_0_895,refute_0_898]) ).
cnf(refute_0_900,plain,
ld(ld(X_113,X_113),mult(X_17,ld(X_113,X_113))) = rd(X_17,ld(X_113,X_113)),
inference(resolve,[$cnf( $equal(ld(ld(X_113,X_113),mult(mult(ld(X_113,X_113),X_17),ld(X_113,X_113))),mult(ld(X_113,X_113),mult(X_17,ld(X_113,X_113)))) )],[refute_0_530,refute_0_899]) ).
cnf(refute_0_901,plain,
ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = rd(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)),
inference(subst,[],[refute_0_900:[bind(X_113,$fot(X_111)),bind(X_17,$fot(mult(X_15,ld(X_111,X_111))))]]) ).
cnf(refute_0_902,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) != rd(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))
| rd(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)) != X_15
| ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = X_15 ),
inference(subst,[],[refute_0_163:[bind(X,$fot(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))))),bind(Y,$fot(rd(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)))),bind(Z,$fot(X_15))]]) ).
cnf(refute_0_903,plain,
( rd(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)) != X_15
| ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = X_15 ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))),rd(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) = X_15,
inference(resolve,[$cnf( $equal(rd(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111)),X_15) )],[refute_0_484,refute_0_903]) ).
cnf(refute_0_905,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) != X_15
| ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) != mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))
| X_15 = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))),mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))) ),[0],$fot(X_15)]]) ).
cnf(refute_0_906,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) != mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))
| X_15 = mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))),X_15) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
ld(A,mult(A,mult(ld(mult(X_32,A),X_33),X_32))) = mult(ld(mult(X_32,A),X_33),X_32),
inference(subst,[],[f02:[bind(B,$fot(mult(ld(mult(X_32,A),X_33),X_32)))]]) ).
cnf(refute_0_908,plain,
ld(X_32,mult(X_33,X_32)) = mult(A,mult(ld(mult(X_32,A),X_33),X_32)),
inference(subst,[],[refute_0_814:[bind(A,$fot(X_32)),bind(X_18,$fot(X_33)),bind(X_20,$fot(A))]]) ).
cnf(refute_0_909,plain,
( ld(X_32,mult(X_33,X_32)) != mult(A,mult(ld(mult(X_32,A),X_33),X_32))
| mult(A,mult(ld(mult(X_32,A),X_33),X_32)) = ld(X_32,mult(X_33,X_32)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(ld(X_32,mult(X_33,X_32)))),bind(Y,$fot(mult(A,mult(ld(mult(X_32,A),X_33),X_32))))]]) ).
cnf(refute_0_910,plain,
mult(A,mult(ld(mult(X_32,A),X_33),X_32)) = ld(X_32,mult(X_33,X_32)),
inference(resolve,[$cnf( $equal(ld(X_32,mult(X_33,X_32)),mult(A,mult(ld(mult(X_32,A),X_33),X_32))) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
( ld(A,mult(A,mult(ld(mult(X_32,A),X_33),X_32))) != mult(ld(mult(X_32,A),X_33),X_32)
| mult(A,mult(ld(mult(X_32,A),X_33),X_32)) != ld(X_32,mult(X_33,X_32))
| ld(A,ld(X_32,mult(X_33,X_32))) = mult(ld(mult(X_32,A),X_33),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(ld(mult(X_32,A),X_33),X_32))),mult(ld(mult(X_32,A),X_33),X_32)) ),[0,1],$fot(ld(X_32,mult(X_33,X_32)))]]) ).
cnf(refute_0_912,plain,
( ld(A,mult(A,mult(ld(mult(X_32,A),X_33),X_32))) != mult(ld(mult(X_32,A),X_33),X_32)
| ld(A,ld(X_32,mult(X_33,X_32))) = mult(ld(mult(X_32,A),X_33),X_32) ),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(mult(X_32,A),X_33),X_32)),ld(X_32,mult(X_33,X_32))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
ld(A,ld(X_32,mult(X_33,X_32))) = mult(ld(mult(X_32,A),X_33),X_32),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(ld(mult(X_32,A),X_33),X_32))),mult(ld(mult(X_32,A),X_33),X_32)) )],[refute_0_907,refute_0_912]) ).
cnf(refute_0_914,plain,
ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = mult(ld(mult(rd(X_111,X_111),rd(X_111,X_111)),X_33),rd(X_111,X_111)),
inference(subst,[],[refute_0_913:[bind(A,$fot(rd(X_111,X_111))),bind(X_32,$fot(rd(X_111,X_111)))]]) ).
cnf(refute_0_915,plain,
( ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != mult(ld(mult(rd(X_111,X_111),rd(X_111,X_111)),X_33),rd(X_111,X_111))
| mult(rd(X_111,X_111),rd(X_111,X_111)) != ld(X_111,X_111)
| ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),mult(ld(mult(rd(X_111,X_111),rd(X_111,X_111)),X_33),rd(X_111,X_111))) ),[1,0,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_916,plain,
( ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != mult(ld(mult(rd(X_111,X_111),rd(X_111,X_111)),X_33),rd(X_111,X_111))
| ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_111,X_111),rd(X_111,X_111)),ld(X_111,X_111)) )],[refute_0_126,refute_0_915]) ).
cnf(refute_0_917,plain,
ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),mult(ld(mult(rd(X_111,X_111),rd(X_111,X_111)),X_33),rd(X_111,X_111))) )],[refute_0_914,refute_0_916]) ).
cnf(refute_0_918,plain,
mult(X_33,rd(X_111,X_111)) = mult(X_33,rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(X_33,rd(X_111,X_111)))]]) ).
cnf(refute_0_919,plain,
( mult(X_33,rd(X_111,X_111)) != mult(X_33,rd(X_111,X_111))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(X_33,rd(X_111,X_111)) = mult(X_33,ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_33,rd(X_111,X_111)),mult(X_33,rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_920,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(X_33,rd(X_111,X_111)) = mult(X_33,ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(X_33,rd(X_111,X_111)),mult(X_33,rd(X_111,X_111))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
mult(X_33,rd(X_111,X_111)) = mult(X_33,ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_920]) ).
cnf(refute_0_922,plain,
ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))))]]) ).
cnf(refute_0_923,plain,
( ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111)))
| mult(X_33,rd(X_111,X_111)) != mult(X_33,ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))),ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111)))) ),[1,1],$fot(mult(X_33,ld(X_111,X_111)))]]) ).
cnf(refute_0_924,plain,
( mult(X_33,rd(X_111,X_111)) != mult(X_33,ld(X_111,X_111))
| ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))),ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111)))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(mult(X_33,rd(X_111,X_111)),mult(X_33,ld(X_111,X_111))) )],[refute_0_921,refute_0_924]) ).
cnf(refute_0_926,plain,
ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))),
introduced(tautology,[refl,[$fot(ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))]]) ).
cnf(refute_0_927,plain,
( ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) != ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))
| rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_928,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_928]) ).
cnf(refute_0_930,plain,
( ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))
| ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111)))
| ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))),bind(Y,$fot(ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))))),bind(Z,$fot(ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))))]]) ).
cnf(refute_0_931,plain,
( ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))
| ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))),ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111)))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) = ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(X_33,rd(X_111,X_111))),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) )],[refute_0_925,refute_0_931]) ).
cnf(refute_0_933,plain,
ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),
introduced(tautology,[refl,[$fot(ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))))]]) ).
cnf(refute_0_934,plain,
( ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))
| ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))
| ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))) ),[1,1],$fot(ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))]]) ).
cnf(refute_0_935,plain,
( ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))) != ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))
| ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) )],[refute_0_932,refute_0_935]) ).
cnf(refute_0_937,plain,
ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),
introduced(tautology,[refl,[$fot(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))))]]) ).
cnf(refute_0_938,plain,
( ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))
| rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))) ),[1,0],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_939,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_939]) ).
cnf(refute_0_941,plain,
( ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))
| ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))
| ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))))),bind(Y,$fot(ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))))),bind(Z,$fot(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))))]]) ).
cnf(refute_0_942,plain,
( ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))
| ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111))))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) = ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))) )],[refute_0_936,refute_0_942]) ).
cnf(refute_0_944,plain,
( ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))
| ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))) ),[0],$fot(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))))]]) ).
cnf(refute_0_945,plain,
( ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)),
introduced(tautology,[refl,[$fot(mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)))]]) ).
cnf(refute_0_947,plain,
( mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) != mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))
| rd(X_111,X_111) != ld(X_111,X_111)
| mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)),mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))) ),[1,1],$fot(ld(X_111,X_111))]]) ).
cnf(refute_0_948,plain,
( rd(X_111,X_111) != ld(X_111,X_111)
| mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)),mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(rd(X_111,X_111),ld(X_111,X_111)) )],[refute_0_443,refute_0_948]) ).
cnf(refute_0_950,plain,
( ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) != mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))
| mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)) != mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))) ),[0],$fot(mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)))]]) ).
cnf(refute_0_951,plain,
( ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) != mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111)),mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
( ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))) != mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))) )],[refute_0_945,refute_0_951]) ).
cnf(refute_0_953,plain,
ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(rd(X_111,X_111),ld(rd(X_111,X_111),mult(X_33,rd(X_111,X_111)))),mult(ld(ld(X_111,X_111),X_33),rd(X_111,X_111))) )],[refute_0_917,refute_0_952]) ).
cnf(refute_0_954,plain,
( mult(X_179,ld(A,A)) != ld(ld(A,A),rd(X_179,ld(A,A)))
| ld(ld(A,A),rd(X_179,ld(A,A))) = mult(X_179,ld(A,A)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_179,ld(A,A)))),bind(Y,$fot(ld(ld(A,A),rd(X_179,ld(A,A)))))]]) ).
cnf(refute_0_955,plain,
ld(ld(A,A),rd(X_179,ld(A,A))) = mult(X_179,ld(A,A)),
inference(resolve,[$cnf( $equal(mult(X_179,ld(A,A)),ld(ld(A,A),rd(X_179,ld(A,A)))) )],[refute_0_851,refute_0_954]) ).
cnf(refute_0_956,plain,
ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111))) = mult(X_33,ld(X_111,X_111)),
inference(subst,[],[refute_0_955:[bind(A,$fot(X_111)),bind(X_179,$fot(X_33))]]) ).
cnf(refute_0_957,plain,
ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))) = rd(X_33,ld(X_111,X_111)),
inference(subst,[],[refute_0_900:[bind(X_113,$fot(X_111)),bind(X_17,$fot(X_33))]]) ).
cnf(refute_0_958,plain,
ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),
introduced(tautology,[refl,[$fot(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))))]]) ).
cnf(refute_0_959,plain,
( ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) != ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))
| ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))) != rd(X_33,ld(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))) ),[1,1],$fot(rd(X_33,ld(X_111,X_111)))]]) ).
cnf(refute_0_960,plain,
( ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))) != rd(X_33,ld(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))))) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111))),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111))),rd(X_33,ld(X_111,X_111))) )],[refute_0_957,refute_0_960]) ).
cnf(refute_0_962,plain,
( ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) != ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111)))
| ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111))) != mult(X_33,ld(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(X_33,ld(X_111,X_111)) ),
inference(subst,[],[refute_0_163:[bind(X,$fot(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))))),bind(Y,$fot(ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111))))),bind(Z,$fot(mult(X_33,ld(X_111,X_111))))]]) ).
cnf(refute_0_963,plain,
( ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111))) != mult(X_33,ld(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(X_33,ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111)))) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) = mult(X_33,ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),rd(X_33,ld(X_111,X_111))),mult(X_33,ld(X_111,X_111))) )],[refute_0_956,refute_0_963]) ).
cnf(refute_0_965,plain,
( ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) != mult(X_33,ld(X_111,X_111))
| ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) != mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))
| mult(X_33,ld(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))) ),[0],$fot(mult(X_33,ld(X_111,X_111)))]]) ).
cnf(refute_0_966,plain,
( ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))) != mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))
| mult(X_33,ld(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),mult(X_33,ld(X_111,X_111))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
mult(X_33,ld(X_111,X_111)) = mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),ld(ld(X_111,X_111),mult(X_33,ld(X_111,X_111)))),mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))) )],[refute_0_953,refute_0_966]) ).
cnf(refute_0_968,plain,
( mult(X_33,ld(X_111,X_111)) != mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))
| mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) = mult(X_33,ld(X_111,X_111)) ),
inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_33,ld(X_111,X_111)))),bind(Y,$fot(mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))))]]) ).
cnf(refute_0_969,plain,
mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111)) = mult(X_33,ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(mult(X_33,ld(X_111,X_111)),mult(ld(ld(X_111,X_111),X_33),ld(X_111,X_111))) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) = mult(X_15,ld(X_111,X_111)),
inference(subst,[],[refute_0_969:[bind(X_33,$fot(X_15))]]) ).
cnf(refute_0_971,plain,
( X_15 != mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))
| mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)) != mult(X_15,ld(X_111,X_111))
| X_15 = mult(X_15,ld(X_111,X_111)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_15,mult(X_15,ld(X_111,X_111))) ),[0],$fot(mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)))]]) ).
cnf(refute_0_972,plain,
( X_15 != mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))
| X_15 = mult(X_15,ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111)),mult(X_15,ld(X_111,X_111))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
( ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))) != mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))
| X_15 = mult(X_15,ld(X_111,X_111)) ),
inference(resolve,[$cnf( $equal(X_15,mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))) )],[refute_0_906,refute_0_972]) ).
cnf(refute_0_974,plain,
X_15 = mult(X_15,ld(X_111,X_111)),
inference(resolve,[$cnf( $equal(ld(ld(X_111,X_111),mult(mult(X_15,ld(X_111,X_111)),ld(X_111,X_111))),mult(ld(ld(X_111,X_111),X_15),ld(X_111,X_111))) )],[refute_0_483,refute_0_973]) ).
cnf(refute_0_975,plain,
( X_15 != mult(X_15,ld(X_111,X_111))
| mult(X_15,ld(X_111,X_111)) = X_15 ),
inference(subst,[],[refute_0_61:[bind(X,$fot(X_15)),bind(Y,$fot(mult(X_15,ld(X_111,X_111))))]]) ).
cnf(refute_0_976,plain,
mult(X_15,ld(X_111,X_111)) = X_15,
inference(resolve,[$cnf( $equal(X_15,mult(X_15,ld(X_111,X_111))) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
mult(x0,ld(x1,x1)) = x0,
inference(subst,[],[refute_0_976:[bind(X_111,$fot(x1)),bind(X_15,$fot(x0))]]) ).
cnf(refute_0_978,plain,
( mult(x0,ld(x1,x1)) != x0
| x0 != x0
| mult(x0,ld(x1,x1)) = x0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(x0,ld(x1,x1)),x0) ),[0],$fot(x0)]]) ).
cnf(refute_0_979,plain,
( x0 != x0
| mult(x0,ld(x1,x1)) = x0 ),
inference(resolve,[$cnf( $equal(mult(x0,ld(x1,x1)),x0) )],[refute_0_977,refute_0_978]) ).
cnf(refute_0_980,plain,
x0 != x0,
inference(resolve,[$cnf( $equal(mult(x0,ld(x1,x1)),x0) )],[refute_0_979,refute_0_438]) ).
cnf(refute_0_981,plain,
x0 = x0,
introduced(tautology,[refl,[$fot(x0)]]) ).
cnf(refute_0_982,plain,
$false,
inference(resolve,[$cnf( $equal(x0,x0) )],[refute_0_981,refute_0_980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP660-11 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 00:24:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.82/2.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.00
% 1.82/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.96/2.16
%------------------------------------------------------------------------------