TSTP Solution File: GRP682-10 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 10:44:53 EDT 2022
% Result : Unsatisfiable 0.40s 0.56s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 40
% Syntax : Number of clauses : 131 ( 69 unt; 0 nHn; 64 RR)
% Number of literals : 222 ( 221 equ; 93 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 207 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
ld(A,mult(A,A)) = A ).
cnf(f02,axiom,
rd(mult(A,A),A) = A ).
cnf(f03,axiom,
mult(A,ld(A,B)) = ld(A,mult(A,B)) ).
cnf(f04,axiom,
mult(rd(A,B),B) = rd(mult(A,B),B) ).
cnf(f05,axiom,
ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ).
cnf(f07,axiom,
ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) ).
cnf(goal,negated_conjecture,
ld(ld(x0,x1),mult(ld(x0,x1),x2)) != ld(x0,mult(x0,x2)) ).
cnf(refute_0_0,plain,
ld(ld(X_46,X_47),mult(ld(X_46,X_47),mult(ld(X_49,X_49),X_49))) = mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49),
inference(subst,[],[f05:[bind(A,$fot(X_46)),bind(B,$fot(X_47)),bind(C,$fot(ld(X_49,X_49))),bind(D,$fot(X_49))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( mult(rd(A,B),B) != rd(mult(A,B),B)
| rd(mult(A,B),B) = mult(rd(A,B),B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(mult(rd(A,B),B))),bind(Y,$fot(rd(mult(A,B),B)))]]) ).
cnf(refute_0_5,plain,
rd(mult(A,B),B) = mult(rd(A,B),B),
inference(resolve,[$cnf( $equal(mult(rd(A,B),B),rd(mult(A,B),B)) )],[f04,refute_0_4]) ).
cnf(refute_0_6,plain,
rd(mult(A,A),A) = mult(rd(A,A),A),
inference(subst,[],[refute_0_5:[bind(B,$fot(A))]]) ).
cnf(refute_0_7,plain,
( rd(mult(A,A),A) != A
| rd(mult(A,A),A) != mult(rd(A,A),A)
| mult(rd(A,A),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,A),A),A) ),[0],$fot(mult(rd(A,A),A))]]) ).
cnf(refute_0_8,plain,
( rd(mult(A,A),A) != A
| mult(rd(A,A),A) = A ),
inference(resolve,[$cnf( $equal(rd(mult(A,A),A),mult(rd(A,A),A)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
mult(rd(A,A),A) = A,
inference(resolve,[$cnf( $equal(rd(mult(A,A),A),A) )],[f02,refute_0_8]) ).
cnf(refute_0_10,plain,
mult(rd(rd(X_3,X_3),X_3),X_3) = rd(mult(rd(X_3,X_3),X_3),X_3),
inference(subst,[],[f04:[bind(A,$fot(rd(X_3,X_3))),bind(B,$fot(X_3))]]) ).
cnf(refute_0_11,plain,
mult(rd(X_3,X_3),X_3) = X_3,
inference(subst,[],[refute_0_9:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_12,plain,
( mult(rd(X_3,X_3),X_3) != X_3
| mult(rd(rd(X_3,X_3),X_3),X_3) != rd(mult(rd(X_3,X_3),X_3),X_3)
| mult(rd(rd(X_3,X_3),X_3),X_3) = rd(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),rd(mult(rd(X_3,X_3),X_3),X_3)) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_13,plain,
( mult(rd(rd(X_3,X_3),X_3),X_3) != rd(mult(rd(X_3,X_3),X_3),X_3)
| mult(rd(rd(X_3,X_3),X_3),X_3) = rd(X_3,X_3) ),
inference(resolve,[$cnf( $equal(mult(rd(X_3,X_3),X_3),X_3) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
mult(rd(rd(X_3,X_3),X_3),X_3) = rd(X_3,X_3),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),rd(mult(rd(X_3,X_3),X_3),X_3)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
ld(X_3,mult(X_3,X_3)) = X_3,
inference(subst,[],[f01:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_16,plain,
mult(X_3,ld(X_3,X_3)) = ld(X_3,mult(X_3,X_3)),
inference(subst,[],[f03:[bind(A,$fot(X_3)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_17,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_18,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_17]) ).
cnf(refute_0_19,plain,
( ld(X_3,mult(X_3,X_3)) != X_3
| mult(X_3,ld(X_3,X_3)) != ld(X_3,mult(X_3,X_3))
| mult(X_3,ld(X_3,X_3)) = X_3 ),
inference(subst,[],[refute_0_18:[bind(X,$fot(mult(X_3,ld(X_3,X_3)))),bind(Y,$fot(ld(X_3,mult(X_3,X_3)))),bind(Z,$fot(X_3))]]) ).
cnf(refute_0_20,plain,
( ld(X_3,mult(X_3,X_3)) != X_3
| mult(X_3,ld(X_3,X_3)) = X_3 ),
inference(resolve,[$cnf( $equal(mult(X_3,ld(X_3,X_3)),ld(X_3,mult(X_3,X_3))) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
mult(X_3,ld(X_3,X_3)) = X_3,
inference(resolve,[$cnf( $equal(ld(X_3,mult(X_3,X_3)),X_3) )],[refute_0_15,refute_0_20]) ).
cnf(refute_0_22,plain,
ld(X_3,mult(X_3,ld(X_3,X_3))) = ld(X_3,mult(X_3,ld(X_3,X_3))),
introduced(tautology,[refl,[$fot(ld(X_3,mult(X_3,ld(X_3,X_3))))]]) ).
cnf(refute_0_23,plain,
( ld(X_3,mult(X_3,ld(X_3,X_3))) != ld(X_3,mult(X_3,ld(X_3,X_3)))
| mult(X_3,ld(X_3,X_3)) != X_3
| ld(X_3,mult(X_3,ld(X_3,X_3))) = ld(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_3,mult(X_3,ld(X_3,X_3))),ld(X_3,mult(X_3,ld(X_3,X_3)))) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_24,plain,
( mult(X_3,ld(X_3,X_3)) != X_3
| ld(X_3,mult(X_3,ld(X_3,X_3))) = ld(X_3,X_3) ),
inference(resolve,[$cnf( $equal(ld(X_3,mult(X_3,ld(X_3,X_3))),ld(X_3,mult(X_3,ld(X_3,X_3)))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
ld(X_3,mult(X_3,ld(X_3,X_3))) = ld(X_3,X_3),
inference(resolve,[$cnf( $equal(mult(X_3,ld(X_3,X_3)),X_3) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
rd(mult(rd(A,A),B),B) = mult(rd(rd(A,A),B),B),
inference(subst,[],[refute_0_5:[bind(A,$fot(rd(A,A)))]]) ).
cnf(refute_0_27,plain,
( ld(A,mult(A,ld(B,B))) != rd(mult(rd(A,A),B),B)
| rd(mult(rd(A,A),B),B) != mult(rd(rd(A,A),B),B)
| ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) ),[0],$fot(rd(mult(rd(A,A),B),B))]]) ).
cnf(refute_0_28,plain,
( ld(A,mult(A,ld(B,B))) != rd(mult(rd(A,A),B),B)
| ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B) ),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),rd(mult(rd(A,A),B),B)) )],[f07,refute_0_28]) ).
cnf(refute_0_30,plain,
( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
| mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(ld(A,mult(A,ld(B,B))))),bind(Y,$fot(mult(rd(rd(A,A),B),B)))]]) ).
cnf(refute_0_31,plain,
mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
mult(rd(rd(X_3,X_3),X_3),X_3) = ld(X_3,mult(X_3,ld(X_3,X_3))),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_3)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_33,plain,
( ld(X_3,mult(X_3,ld(X_3,X_3))) != ld(X_3,X_3)
| mult(rd(rd(X_3,X_3),X_3),X_3) != ld(X_3,mult(X_3,ld(X_3,X_3)))
| mult(rd(rd(X_3,X_3),X_3),X_3) = ld(X_3,X_3) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(mult(rd(rd(X_3,X_3),X_3),X_3))),bind(Y,$fot(ld(X_3,mult(X_3,ld(X_3,X_3))))),bind(Z,$fot(ld(X_3,X_3)))]]) ).
cnf(refute_0_34,plain,
( ld(X_3,mult(X_3,ld(X_3,X_3))) != ld(X_3,X_3)
| mult(rd(rd(X_3,X_3),X_3),X_3) = ld(X_3,X_3) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),ld(X_3,mult(X_3,ld(X_3,X_3)))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
mult(rd(rd(X_3,X_3),X_3),X_3) = ld(X_3,X_3),
inference(resolve,[$cnf( $equal(ld(X_3,mult(X_3,ld(X_3,X_3))),ld(X_3,X_3)) )],[refute_0_25,refute_0_34]) ).
cnf(refute_0_36,plain,
( mult(rd(rd(X_3,X_3),X_3),X_3) != ld(X_3,X_3)
| mult(rd(rd(X_3,X_3),X_3),X_3) != rd(X_3,X_3)
| ld(X_3,X_3) = rd(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),rd(X_3,X_3)) ),[0],$fot(ld(X_3,X_3))]]) ).
cnf(refute_0_37,plain,
( mult(rd(rd(X_3,X_3),X_3),X_3) != rd(X_3,X_3)
| ld(X_3,X_3) = rd(X_3,X_3) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),ld(X_3,X_3)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
ld(X_3,X_3) = rd(X_3,X_3),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),rd(X_3,X_3)) )],[refute_0_14,refute_0_37]) ).
cnf(refute_0_39,plain,
( ld(X_3,X_3) != rd(X_3,X_3)
| rd(X_3,X_3) = ld(X_3,X_3) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(ld(X_3,X_3))),bind(Y,$fot(rd(X_3,X_3)))]]) ).
cnf(refute_0_40,plain,
rd(X_3,X_3) = ld(X_3,X_3),
inference(resolve,[$cnf( $equal(ld(X_3,X_3),rd(X_3,X_3)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
rd(A,A) = ld(A,A),
inference(subst,[],[refute_0_40:[bind(X_3,$fot(A))]]) ).
cnf(refute_0_42,plain,
mult(rd(A,A),A) = mult(rd(A,A),A),
introduced(tautology,[refl,[$fot(mult(rd(A,A),A))]]) ).
cnf(refute_0_43,plain,
( mult(rd(A,A),A) != mult(rd(A,A),A)
| rd(A,A) != ld(A,A)
| mult(rd(A,A),A) = mult(ld(A,A),A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),A),mult(rd(A,A),A)) ),[1,0],$fot(ld(A,A))]]) ).
cnf(refute_0_44,plain,
( rd(A,A) != ld(A,A)
| mult(rd(A,A),A) = mult(ld(A,A),A) ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),A),mult(rd(A,A),A)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
mult(rd(A,A),A) = mult(ld(A,A),A),
inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( mult(rd(A,A),A) != A
| mult(rd(A,A),A) != mult(ld(A,A),A)
| mult(ld(A,A),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),A),A) ),[0],$fot(mult(ld(A,A),A))]]) ).
cnf(refute_0_47,plain,
( mult(rd(A,A),A) != A
| mult(ld(A,A),A) = A ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),A),mult(ld(A,A),A)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
mult(ld(A,A),A) = A,
inference(resolve,[$cnf( $equal(mult(rd(A,A),A),A) )],[refute_0_9,refute_0_47]) ).
cnf(refute_0_49,plain,
mult(ld(X_49,X_49),X_49) = X_49,
inference(subst,[],[refute_0_48:[bind(A,$fot(X_49))]]) ).
cnf(refute_0_50,plain,
( ld(ld(X_46,X_47),mult(ld(X_46,X_47),mult(ld(X_49,X_49),X_49))) != mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49)
| mult(ld(X_49,X_49),X_49) != X_49
| ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)) = mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_46,X_47),mult(ld(X_46,X_47),mult(ld(X_49,X_49),X_49))),mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49)) ),[0,1,1],$fot(X_49)]]) ).
cnf(refute_0_51,plain,
( ld(ld(X_46,X_47),mult(ld(X_46,X_47),mult(ld(X_49,X_49),X_49))) != mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49)
| ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)) = mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49) ),
inference(resolve,[$cnf( $equal(mult(ld(X_49,X_49),X_49),X_49) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)) = mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49),
inference(resolve,[$cnf( $equal(ld(ld(X_46,X_47),mult(ld(X_46,X_47),mult(ld(X_49,X_49),X_49))),mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49)) )],[refute_0_0,refute_0_51]) ).
cnf(refute_0_53,plain,
mult(X_46,mult(ld(X_49,X_49),X_49)) = mult(X_46,mult(ld(X_49,X_49),X_49)),
introduced(tautology,[refl,[$fot(mult(X_46,mult(ld(X_49,X_49),X_49)))]]) ).
cnf(refute_0_54,plain,
( mult(X_46,mult(ld(X_49,X_49),X_49)) != mult(X_46,mult(ld(X_49,X_49),X_49))
| mult(ld(X_49,X_49),X_49) != X_49
| mult(X_46,mult(ld(X_49,X_49),X_49)) = mult(X_46,X_49) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_46,mult(ld(X_49,X_49),X_49)),mult(X_46,mult(ld(X_49,X_49),X_49))) ),[1,1],$fot(X_49)]]) ).
cnf(refute_0_55,plain,
( mult(ld(X_49,X_49),X_49) != X_49
| mult(X_46,mult(ld(X_49,X_49),X_49)) = mult(X_46,X_49) ),
inference(resolve,[$cnf( $equal(mult(X_46,mult(ld(X_49,X_49),X_49)),mult(X_46,mult(ld(X_49,X_49),X_49))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
mult(X_46,mult(ld(X_49,X_49),X_49)) = mult(X_46,X_49),
inference(resolve,[$cnf( $equal(mult(ld(X_49,X_49),X_49),X_49) )],[refute_0_49,refute_0_55]) ).
cnf(refute_0_57,plain,
ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))) = ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))),
introduced(tautology,[refl,[$fot(ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))))]]) ).
cnf(refute_0_58,plain,
( ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))) != ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49)))
| mult(X_46,mult(ld(X_49,X_49),X_49)) != mult(X_46,X_49)
| ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))) = ld(X_46,mult(X_46,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))),ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49)))) ),[1,1],$fot(mult(X_46,X_49))]]) ).
cnf(refute_0_59,plain,
( mult(X_46,mult(ld(X_49,X_49),X_49)) != mult(X_46,X_49)
| ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))) = ld(X_46,mult(X_46,X_49)) ),
inference(resolve,[$cnf( $equal(ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))),ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49)))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))) = ld(X_46,mult(X_46,X_49)),
inference(resolve,[$cnf( $equal(mult(X_46,mult(ld(X_49,X_49),X_49)),mult(X_46,X_49)) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_48,X_49))) = mult(ld(X_46,mult(X_46,X_48)),X_49),
inference(subst,[],[f05:[bind(A,$fot(X_46)),bind(B,$fot(mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46)))))),bind(C,$fot(X_48)),bind(D,$fot(X_49))]]) ).
cnf(refute_0_62,plain,
mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
inference(subst,[],[f03:[bind(B,$fot(mult(A,ld(ld(A,A),ld(A,A)))))]]) ).
cnf(refute_0_63,plain,
rd(rd(A,A),B) = rd(rd(A,A),B),
introduced(tautology,[refl,[$fot(rd(rd(A,A),B))]]) ).
cnf(refute_0_64,plain,
( rd(A,A) != ld(A,A)
| rd(rd(A,A),B) != rd(rd(A,A),B)
| rd(rd(A,A),B) = rd(ld(A,A),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(A,A),B),rd(rd(A,A),B)) ),[1,0],$fot(ld(A,A))]]) ).
cnf(refute_0_65,plain,
( rd(A,A) != ld(A,A)
| rd(rd(A,A),B) = rd(ld(A,A),B) ),
inference(resolve,[$cnf( $equal(rd(rd(A,A),B),rd(rd(A,A),B)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
rd(rd(A,A),B) = rd(ld(A,A),B),
inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_41,refute_0_65]) ).
cnf(refute_0_67,plain,
mult(rd(rd(A,A),B),B) = mult(rd(rd(A,A),B),B),
introduced(tautology,[refl,[$fot(mult(rd(rd(A,A),B),B))]]) ).
cnf(refute_0_68,plain,
( mult(rd(rd(A,A),B),B) != mult(rd(rd(A,A),B),B)
| rd(rd(A,A),B) != rd(ld(A,A),B)
| mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) ),[1,0],$fot(rd(ld(A,A),B))]]) ).
cnf(refute_0_69,plain,
( rd(rd(A,A),B) != rd(ld(A,A),B)
| mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B),
inference(resolve,[$cnf( $equal(rd(rd(A,A),B),rd(ld(A,A),B)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
| mult(rd(rd(A,A),B),B) != mult(rd(ld(A,A),B),B)
| ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(A,mult(A,ld(B,B))),mult(rd(ld(A,A),B),B)) ),[0],$fot(mult(rd(rd(A,A),B),B))]]) ).
cnf(refute_0_72,plain,
( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
| ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(ld(A,A),B),B)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) )],[refute_0_29,refute_0_72]) ).
cnf(refute_0_74,plain,
ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) = mult(rd(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11)),
inference(subst,[],[refute_0_73:[bind(A,$fot(X_11)),bind(B,$fot(ld(X_11,X_11)))]]) ).
cnf(refute_0_75,plain,
ld(ld(X_11,X_11),ld(X_11,X_11)) = rd(ld(X_11,X_11),ld(X_11,X_11)),
inference(subst,[],[refute_0_38:[bind(X_3,$fot(ld(X_11,X_11)))]]) ).
cnf(refute_0_76,plain,
( ld(ld(X_11,X_11),ld(X_11,X_11)) != rd(ld(X_11,X_11),ld(X_11,X_11))
| rd(ld(X_11,X_11),ld(X_11,X_11)) = ld(ld(X_11,X_11),ld(X_11,X_11)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(ld(ld(X_11,X_11),ld(X_11,X_11)))),bind(Y,$fot(rd(ld(X_11,X_11),ld(X_11,X_11))))]]) ).
cnf(refute_0_77,plain,
rd(ld(X_11,X_11),ld(X_11,X_11)) = ld(ld(X_11,X_11),ld(X_11,X_11)),
inference(resolve,[$cnf( $equal(ld(ld(X_11,X_11),ld(X_11,X_11)),rd(ld(X_11,X_11),ld(X_11,X_11))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) != mult(rd(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11))
| rd(ld(X_11,X_11),ld(X_11,X_11)) != ld(ld(X_11,X_11),ld(X_11,X_11))
| ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) = mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))),mult(rd(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11))) ),[1,0],$fot(ld(ld(X_11,X_11),ld(X_11,X_11)))]]) ).
cnf(refute_0_79,plain,
( ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) != mult(rd(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11))
| ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) = mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_11,X_11),ld(X_11,X_11)),ld(ld(X_11,X_11),ld(X_11,X_11))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) = mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11)),
inference(resolve,[$cnf( $equal(ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))),mult(rd(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11))) )],[refute_0_74,refute_0_79]) ).
cnf(refute_0_81,plain,
mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11)) = ld(X_11,X_11),
inference(subst,[],[refute_0_48:[bind(A,$fot(ld(X_11,X_11)))]]) ).
cnf(refute_0_82,plain,
( ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) != mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11))
| mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11)) != ld(X_11,X_11)
| ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) = ld(X_11,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))),ld(X_11,X_11)) ),[0],$fot(mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11)))]]) ).
cnf(refute_0_83,plain,
( ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) != mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11))
| ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) = ld(X_11,X_11) ),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11)),ld(X_11,X_11)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))) = ld(X_11,X_11),
inference(resolve,[$cnf( $equal(ld(X_11,mult(X_11,ld(ld(X_11,X_11),ld(X_11,X_11)))),mult(ld(ld(X_11,X_11),ld(X_11,X_11)),ld(X_11,X_11))) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
ld(A,mult(A,ld(ld(A,A),ld(A,A)))) = ld(A,A),
inference(subst,[],[refute_0_84:[bind(X_11,$fot(A))]]) ).
cnf(refute_0_86,plain,
( ld(A,mult(A,ld(ld(A,A),ld(A,A)))) != ld(A,A)
| mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) ),[0,1],$fot(ld(A,A))]]) ).
cnf(refute_0_87,plain,
( mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(ld(A,A),ld(A,A)))),ld(A,A)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
inference(resolve,[$cnf( $equal(mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_62,refute_0_87]) ).
cnf(refute_0_89,plain,
mult(A,ld(A,A)) = ld(A,mult(A,A)),
inference(subst,[],[f03:[bind(B,$fot(A))]]) ).
cnf(refute_0_90,plain,
( ld(A,mult(A,A)) != A
| mult(A,ld(A,A)) != ld(A,mult(A,A))
| mult(A,ld(A,A)) = A ),
inference(subst,[],[refute_0_18:[bind(X,$fot(mult(A,ld(A,A)))),bind(Y,$fot(ld(A,mult(A,A)))),bind(Z,$fot(A))]]) ).
cnf(refute_0_91,plain,
( ld(A,mult(A,A)) != A
| mult(A,ld(A,A)) = A ),
inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,A))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
mult(A,ld(A,A)) = A,
inference(resolve,[$cnf( $equal(ld(A,mult(A,A)),A) )],[f01,refute_0_91]) ).
cnf(refute_0_93,plain,
( mult(A,ld(A,A)) != A
| mult(A,ld(A,A)) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) ),[0],$fot(A)]]) ).
cnf(refute_0_94,plain,
( mult(A,ld(A,A)) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),A) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_88,refute_0_94]) ).
cnf(refute_0_96,plain,
X_46 = ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_46))]]) ).
cnf(refute_0_97,plain,
( X_46 != ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46)))))
| ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))) = X_46 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_46)),bind(Y,$fot(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46)))))))]]) ).
cnf(refute_0_98,plain,
ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))) = X_46,
inference(resolve,[$cnf( $equal(X_46,ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46)))))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
( ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))) != X_46
| ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_48,X_49))) != mult(ld(X_46,mult(X_46,X_48)),X_49)
| ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) = mult(ld(X_46,mult(X_46,X_48)),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_48,X_49))),mult(ld(X_46,mult(X_46,X_48)),X_49)) ),[0,1,0],$fot(X_46)]]) ).
cnf(refute_0_100,plain,
( ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_48,X_49))) != mult(ld(X_46,mult(X_46,X_48)),X_49)
| ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) = mult(ld(X_46,mult(X_46,X_48)),X_49) ),
inference(resolve,[$cnf( $equal(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),X_46) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) = mult(ld(X_46,mult(X_46,X_48)),X_49),
inference(resolve,[$cnf( $equal(ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_48,X_49))),mult(ld(X_46,mult(X_46,X_48)),X_49)) )],[refute_0_61,refute_0_100]) ).
cnf(refute_0_102,plain,
ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) = ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))),
introduced(tautology,[refl,[$fot(ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))))]]) ).
cnf(refute_0_103,plain,
( ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))) != X_46
| ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) != ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49)))
| ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) = ld(X_46,mult(X_46,mult(X_48,X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))),ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49)))) ),[1,0],$fot(X_46)]]) ).
cnf(refute_0_104,plain,
( ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))) != X_46
| ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) = ld(X_46,mult(X_46,mult(X_48,X_49))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))),ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) = ld(X_46,mult(X_46,mult(X_48,X_49))),
inference(resolve,[$cnf( $equal(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),X_46) )],[refute_0_98,refute_0_104]) ).
cnf(refute_0_106,plain,
( ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) != ld(X_46,mult(X_46,mult(X_48,X_49)))
| ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) != mult(ld(X_46,mult(X_46,X_48)),X_49)
| ld(X_46,mult(X_46,mult(X_48,X_49))) = mult(ld(X_46,mult(X_46,X_48)),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))),mult(ld(X_46,mult(X_46,X_48)),X_49)) ),[0],$fot(ld(X_46,mult(X_46,mult(X_48,X_49))))]]) ).
cnf(refute_0_107,plain,
( ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))) != mult(ld(X_46,mult(X_46,X_48)),X_49)
| ld(X_46,mult(X_46,mult(X_48,X_49))) = mult(ld(X_46,mult(X_46,X_48)),X_49) ),
inference(resolve,[$cnf( $equal(ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))),ld(X_46,mult(X_46,mult(X_48,X_49)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
ld(X_46,mult(X_46,mult(X_48,X_49))) = mult(ld(X_46,mult(X_46,X_48)),X_49),
inference(resolve,[$cnf( $equal(ld(ld(X_46,mult(X_46,mult(X_46,ld(ld(X_46,X_46),ld(X_46,X_46))))),mult(X_46,mult(X_48,X_49))),mult(ld(X_46,mult(X_46,X_48)),X_49)) )],[refute_0_101,refute_0_107]) ).
cnf(refute_0_109,plain,
( ld(X_46,mult(X_46,mult(X_48,X_49))) != mult(ld(X_46,mult(X_46,X_48)),X_49)
| mult(ld(X_46,mult(X_46,X_48)),X_49) = ld(X_46,mult(X_46,mult(X_48,X_49))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(ld(X_46,mult(X_46,mult(X_48,X_49))))),bind(Y,$fot(mult(ld(X_46,mult(X_46,X_48)),X_49)))]]) ).
cnf(refute_0_110,plain,
mult(ld(X_46,mult(X_46,X_48)),X_49) = ld(X_46,mult(X_46,mult(X_48,X_49))),
inference(resolve,[$cnf( $equal(ld(X_46,mult(X_46,mult(X_48,X_49))),mult(ld(X_46,mult(X_46,X_48)),X_49)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49) = ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))),
inference(subst,[],[refute_0_110:[bind(X_48,$fot(ld(X_49,X_49)))]]) ).
cnf(refute_0_112,plain,
( ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))) != ld(X_46,mult(X_46,X_49))
| mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49) != ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49)))
| mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49) = ld(X_46,mult(X_46,X_49)) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49))),bind(Y,$fot(ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))))),bind(Z,$fot(ld(X_46,mult(X_46,X_49))))]]) ).
cnf(refute_0_113,plain,
( ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))) != ld(X_46,mult(X_46,X_49))
| mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49) = ld(X_46,mult(X_46,X_49)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49),ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49)))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49) = ld(X_46,mult(X_46,X_49)),
inference(resolve,[$cnf( $equal(ld(X_46,mult(X_46,mult(ld(X_49,X_49),X_49))),ld(X_46,mult(X_46,X_49))) )],[refute_0_60,refute_0_113]) ).
cnf(refute_0_115,plain,
( ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)) != mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49)
| mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49) != ld(X_46,mult(X_46,X_49))
| ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)) = ld(X_46,mult(X_46,X_49)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)),ld(X_46,mult(X_46,X_49))) ),[0],$fot(mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49))]]) ).
cnf(refute_0_116,plain,
( ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)) != mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49)
| ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)) = ld(X_46,mult(X_46,X_49)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49),ld(X_46,mult(X_46,X_49))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)) = ld(X_46,mult(X_46,X_49)),
inference(resolve,[$cnf( $equal(ld(ld(X_46,X_47),mult(ld(X_46,X_47),X_49)),mult(ld(X_46,mult(X_46,ld(X_49,X_49))),X_49)) )],[refute_0_52,refute_0_116]) ).
cnf(refute_0_118,plain,
ld(ld(x0,x1),mult(ld(x0,x1),x2)) = ld(x0,mult(x0,x2)),
inference(subst,[],[refute_0_117:[bind(X_46,$fot(x0)),bind(X_47,$fot(x1)),bind(X_49,$fot(x2))]]) ).
cnf(refute_0_119,plain,
( ld(ld(x0,x1),mult(ld(x0,x1),x2)) != ld(x0,mult(x0,x2))
| ld(x0,mult(x0,x2)) != ld(x0,mult(x0,x2))
| ld(ld(x0,x1),mult(ld(x0,x1),x2)) = ld(x0,mult(x0,x2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(x0,x1),mult(ld(x0,x1),x2)),ld(x0,mult(x0,x2))) ),[0],$fot(ld(x0,mult(x0,x2)))]]) ).
cnf(refute_0_120,plain,
( ld(x0,mult(x0,x2)) != ld(x0,mult(x0,x2))
| ld(ld(x0,x1),mult(ld(x0,x1),x2)) = ld(x0,mult(x0,x2)) ),
inference(resolve,[$cnf( $equal(ld(ld(x0,x1),mult(ld(x0,x1),x2)),ld(x0,mult(x0,x2))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
ld(x0,mult(x0,x2)) != ld(x0,mult(x0,x2)),
inference(resolve,[$cnf( $equal(ld(ld(x0,x1),mult(ld(x0,x1),x2)),ld(x0,mult(x0,x2))) )],[refute_0_120,goal]) ).
cnf(refute_0_122,plain,
ld(x0,mult(x0,x2)) = ld(x0,mult(x0,x2)),
introduced(tautology,[refl,[$fot(ld(x0,mult(x0,x2)))]]) ).
cnf(refute_0_123,plain,
$false,
inference(resolve,[$cnf( $equal(ld(x0,mult(x0,x2)),ld(x0,mult(x0,x2))) )],[refute_0_122,refute_0_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n009.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 : Mon Jun 13 14:26:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.56
% 0.40/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.57
%------------------------------------------------------------------------------