TSTP Solution File: GRP708-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:50:26 EDT 2022
% Result : Unsatisfiable 1.00s 1.18s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 64
% Syntax : Number of clauses : 269 ( 140 unt; 0 nHn; 140 RR)
% Number of literals : 453 ( 452 equ; 187 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 364 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c02,axiom,
ld(A,mult(A,B)) = B ).
cnf(c03,axiom,
mult(rd(A,B),B) = A ).
cnf(c04,axiom,
rd(mult(A,B),B) = A ).
cnf(c05,axiom,
mult(A,unit) = A ).
cnf(c07,axiom,
mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C) ).
cnf(c08,axiom,
mult(op_c,A) = mult(A,op_c) ).
cnf(c09,axiom,
mult(mult(op_c,op_c),mult(A,B)) = mult(mult(mult(op_c,op_c),A),B) ).
cnf(goals,negated_conjecture,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( mult(op_c,A) != mult(A,op_c)
| mult(A,op_c) = mult(op_c,A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,A))),bind(Y,$fot(mult(A,op_c)))]]) ).
cnf(refute_0_4,plain,
mult(A,op_c) = mult(op_c,A),
inference(resolve,[$cnf( $equal(mult(op_c,A),mult(A,op_c)) )],[c08,refute_0_3]) ).
cnf(refute_0_5,plain,
mult(mult(a,b),op_c) = mult(op_c,mult(a,b)),
inference(subst,[],[refute_0_4:[bind(A,$fot(mult(a,b)))]]) ).
cnf(refute_0_6,plain,
( mult(a,mult(b,op_c)) != mult(op_c,mult(a,b))
| mult(mult(a,b),op_c) != mult(op_c,mult(a,b))
| mult(a,mult(b,op_c)) = mult(mult(a,b),op_c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(a,mult(b,op_c)),mult(mult(a,b),op_c)) ),[1],$fot(mult(op_c,mult(a,b)))]]) ).
cnf(refute_0_7,plain,
( mult(a,mult(b,op_c)) != mult(op_c,mult(a,b))
| mult(a,mult(b,op_c)) = mult(mult(a,b),op_c) ),
inference(resolve,[$cnf( $equal(mult(mult(a,b),op_c),mult(op_c,mult(a,b))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
mult(a,mult(b,op_c)) != mult(op_c,mult(a,b)),
inference(resolve,[$cnf( $equal(mult(a,mult(b,op_c)),mult(mult(a,b),op_c)) )],[refute_0_7,goals]) ).
cnf(refute_0_9,plain,
ld(A,mult(A,mult(X_86,mult(op_c,A)))) = mult(X_86,mult(op_c,A)),
inference(subst,[],[c02:[bind(B,$fot(mult(X_86,mult(op_c,A))))]]) ).
cnf(refute_0_10,plain,
mult(X_65,mult(X_66,mult(X_65,op_c))) = mult(mult(X_65,mult(X_66,X_65)),op_c),
inference(subst,[],[c07:[bind(A,$fot(X_65)),bind(B,$fot(X_66)),bind(C,$fot(op_c))]]) ).
cnf(refute_0_11,plain,
mult(op_c,X_65) = mult(X_65,op_c),
inference(subst,[],[c08:[bind(A,$fot(X_65))]]) ).
cnf(refute_0_12,plain,
( mult(op_c,X_65) != mult(X_65,op_c)
| mult(X_65,op_c) = mult(op_c,X_65) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,X_65))),bind(Y,$fot(mult(X_65,op_c)))]]) ).
cnf(refute_0_13,plain,
mult(X_65,op_c) = mult(op_c,X_65),
inference(resolve,[$cnf( $equal(mult(op_c,X_65),mult(X_65,op_c)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( mult(X_65,mult(X_66,mult(X_65,op_c))) != mult(mult(X_65,mult(X_66,X_65)),op_c)
| mult(X_65,op_c) != mult(op_c,X_65)
| mult(X_65,mult(X_66,mult(op_c,X_65))) = mult(mult(X_65,mult(X_66,X_65)),op_c) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_65,mult(X_66,mult(X_65,op_c))),mult(mult(X_65,mult(X_66,X_65)),op_c)) ),[0,1,1],$fot(mult(op_c,X_65))]]) ).
cnf(refute_0_15,plain,
( mult(X_65,mult(X_66,mult(X_65,op_c))) != mult(mult(X_65,mult(X_66,X_65)),op_c)
| mult(X_65,mult(X_66,mult(op_c,X_65))) = mult(mult(X_65,mult(X_66,X_65)),op_c) ),
inference(resolve,[$cnf( $equal(mult(X_65,op_c),mult(op_c,X_65)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
mult(X_65,mult(X_66,mult(op_c,X_65))) = mult(mult(X_65,mult(X_66,X_65)),op_c),
inference(resolve,[$cnf( $equal(mult(X_65,mult(X_66,mult(X_65,op_c))),mult(mult(X_65,mult(X_66,X_65)),op_c)) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
mult(mult(X_65,mult(X_66,X_65)),op_c) = mult(op_c,mult(X_65,mult(X_66,X_65))),
inference(subst,[],[refute_0_4:[bind(A,$fot(mult(X_65,mult(X_66,X_65))))]]) ).
cnf(refute_0_18,plain,
( mult(X_65,mult(X_66,mult(op_c,X_65))) != mult(mult(X_65,mult(X_66,X_65)),op_c)
| mult(mult(X_65,mult(X_66,X_65)),op_c) != mult(op_c,mult(X_65,mult(X_66,X_65)))
| mult(X_65,mult(X_66,mult(op_c,X_65))) = mult(op_c,mult(X_65,mult(X_66,X_65))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_65,mult(X_66,mult(op_c,X_65))),mult(op_c,mult(X_65,mult(X_66,X_65)))) ),[0],$fot(mult(mult(X_65,mult(X_66,X_65)),op_c))]]) ).
cnf(refute_0_19,plain,
( mult(X_65,mult(X_66,mult(op_c,X_65))) != mult(mult(X_65,mult(X_66,X_65)),op_c)
| mult(X_65,mult(X_66,mult(op_c,X_65))) = mult(op_c,mult(X_65,mult(X_66,X_65))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_65,mult(X_66,X_65)),op_c),mult(op_c,mult(X_65,mult(X_66,X_65)))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
mult(X_65,mult(X_66,mult(op_c,X_65))) = mult(op_c,mult(X_65,mult(X_66,X_65))),
inference(resolve,[$cnf( $equal(mult(X_65,mult(X_66,mult(op_c,X_65))),mult(mult(X_65,mult(X_66,X_65)),op_c)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
mult(A,mult(X_86,mult(op_c,A))) = mult(op_c,mult(A,mult(X_86,A))),
inference(subst,[],[refute_0_20:[bind(X_65,$fot(A)),bind(X_66,$fot(X_86))]]) ).
cnf(refute_0_22,plain,
( ld(A,mult(A,mult(X_86,mult(op_c,A)))) != mult(X_86,mult(op_c,A))
| mult(A,mult(X_86,mult(op_c,A))) != mult(op_c,mult(A,mult(X_86,A)))
| ld(A,mult(op_c,mult(A,mult(X_86,A)))) = mult(X_86,mult(op_c,A)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(X_86,mult(op_c,A)))),mult(X_86,mult(op_c,A))) ),[0,1],$fot(mult(op_c,mult(A,mult(X_86,A))))]]) ).
cnf(refute_0_23,plain,
( ld(A,mult(A,mult(X_86,mult(op_c,A)))) != mult(X_86,mult(op_c,A))
| ld(A,mult(op_c,mult(A,mult(X_86,A)))) = mult(X_86,mult(op_c,A)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(X_86,mult(op_c,A))),mult(op_c,mult(A,mult(X_86,A)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
ld(A,mult(op_c,mult(A,mult(X_86,A)))) = mult(X_86,mult(op_c,A)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(X_86,mult(op_c,A)))),mult(X_86,mult(op_c,A))) )],[refute_0_9,refute_0_23]) ).
cnf(refute_0_25,plain,
ld(A,mult(A,mult(X_77,mult(A,op_c)))) = mult(X_77,mult(A,op_c)),
inference(subst,[],[c02:[bind(B,$fot(mult(X_77,mult(A,op_c))))]]) ).
cnf(refute_0_26,plain,
ld(rd(X_6,B),mult(rd(X_6,B),B)) = B,
inference(subst,[],[c02:[bind(A,$fot(rd(X_6,B)))]]) ).
cnf(refute_0_27,plain,
mult(rd(X_6,B),B) = X_6,
inference(subst,[],[c03:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_28,plain,
( ld(rd(X_6,B),mult(rd(X_6,B),B)) != B
| mult(rd(X_6,B),B) != X_6
| ld(rd(X_6,B),X_6) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_6,B),mult(rd(X_6,B),B)),B) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_29,plain,
( ld(rd(X_6,B),mult(rd(X_6,B),B)) != B
| ld(rd(X_6,B),X_6) = B ),
inference(resolve,[$cnf( $equal(mult(rd(X_6,B),B),X_6) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
ld(rd(X_6,B),X_6) = B,
inference(resolve,[$cnf( $equal(ld(rd(X_6,B),mult(rd(X_6,B),B)),B) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
ld(rd(X_6,mult(X_6,op_c)),X_6) = mult(X_6,op_c),
inference(subst,[],[refute_0_30:[bind(B,$fot(mult(X_6,op_c)))]]) ).
cnf(refute_0_32,plain,
ld(op_c,mult(op_c,rd(X_47,mult(X_47,op_c)))) = rd(X_47,mult(X_47,op_c)),
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(rd(X_47,mult(X_47,op_c))))]]) ).
cnf(refute_0_33,plain,
ld(op_c,mult(op_c,mult(op_c,rd(X_46,mult(X_46,op_c))))) = mult(op_c,rd(X_46,mult(X_46,op_c))),
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(mult(op_c,rd(X_46,mult(X_46,op_c)))))]]) ).
cnf(refute_0_34,plain,
rd(mult(op_c,mult(X_37,op_c)),mult(X_37,op_c)) = op_c,
inference(subst,[],[c04:[bind(A,$fot(op_c)),bind(B,$fot(mult(X_37,op_c)))]]) ).
cnf(refute_0_35,plain,
ld(rd(mult(op_c,mult(op_c,mult(X_26,op_c))),mult(op_c,mult(op_c,X_26))),mult(op_c,mult(op_c,mult(X_26,op_c)))) = mult(op_c,mult(op_c,X_26)),
inference(subst,[],[refute_0_30:[bind(B,$fot(mult(op_c,mult(op_c,X_26)))),bind(X_6,$fot(mult(op_c,mult(op_c,mult(X_26,op_c)))))]]) ).
cnf(refute_0_36,plain,
rd(mult(op_c,X_19),X_19) = op_c,
inference(subst,[],[c04:[bind(A,$fot(op_c)),bind(B,$fot(X_19))]]) ).
cnf(refute_0_37,plain,
mult(op_c,X_19) = mult(X_19,op_c),
inference(subst,[],[c08:[bind(A,$fot(X_19))]]) ).
cnf(refute_0_38,plain,
( mult(op_c,X_19) != mult(X_19,op_c)
| rd(mult(op_c,X_19),X_19) != op_c
| rd(mult(X_19,op_c),X_19) = op_c ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(op_c,X_19),X_19),op_c) ),[0,0],$fot(mult(X_19,op_c))]]) ).
cnf(refute_0_39,plain,
( rd(mult(op_c,X_19),X_19) != op_c
| rd(mult(X_19,op_c),X_19) = op_c ),
inference(resolve,[$cnf( $equal(mult(op_c,X_19),mult(X_19,op_c)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
rd(mult(X_19,op_c),X_19) = op_c,
inference(resolve,[$cnf( $equal(rd(mult(op_c,X_19),X_19),op_c) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
rd(mult(mult(mult(op_c,op_c),X_24),op_c),mult(mult(op_c,op_c),X_24)) = op_c,
inference(subst,[],[refute_0_40:[bind(X_19,$fot(mult(mult(op_c,op_c),X_24)))]]) ).
cnf(refute_0_42,plain,
mult(mult(op_c,op_c),mult(X_24,op_c)) = mult(mult(mult(op_c,op_c),X_24),op_c),
inference(subst,[],[c09:[bind(A,$fot(X_24)),bind(B,$fot(op_c))]]) ).
cnf(refute_0_43,plain,
( mult(mult(op_c,op_c),mult(X_24,op_c)) != mult(mult(mult(op_c,op_c),X_24),op_c)
| mult(mult(mult(op_c,op_c),X_24),op_c) = mult(mult(op_c,op_c),mult(X_24,op_c)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(mult(op_c,op_c),mult(X_24,op_c)))),bind(Y,$fot(mult(mult(mult(op_c,op_c),X_24),op_c)))]]) ).
cnf(refute_0_44,plain,
mult(mult(mult(op_c,op_c),X_24),op_c) = mult(mult(op_c,op_c),mult(X_24,op_c)),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(mult(op_c,op_c),X_24),op_c)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( mult(mult(mult(op_c,op_c),X_24),op_c) != mult(mult(op_c,op_c),mult(X_24,op_c))
| rd(mult(mult(mult(op_c,op_c),X_24),op_c),mult(mult(op_c,op_c),X_24)) != op_c
| rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = op_c ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(mult(op_c,op_c),X_24),op_c),mult(mult(op_c,op_c),X_24)),op_c) ),[0,0],$fot(mult(mult(op_c,op_c),mult(X_24,op_c)))]]) ).
cnf(refute_0_46,plain,
( rd(mult(mult(mult(op_c,op_c),X_24),op_c),mult(mult(op_c,op_c),X_24)) != op_c
| rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = op_c ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),X_24),op_c),mult(mult(op_c,op_c),mult(X_24,op_c))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = op_c,
inference(resolve,[$cnf( $equal(rd(mult(mult(mult(op_c,op_c),X_24),op_c),mult(mult(op_c,op_c),X_24)),op_c) )],[refute_0_41,refute_0_46]) ).
cnf(refute_0_48,plain,
ld(op_c,mult(op_c,B)) = B,
inference(subst,[],[c02:[bind(A,$fot(op_c))]]) ).
cnf(refute_0_49,plain,
mult(op_c,B) = mult(B,op_c),
inference(subst,[],[c08:[bind(A,$fot(B))]]) ).
cnf(refute_0_50,plain,
( ld(op_c,mult(op_c,B)) != B
| mult(op_c,B) != mult(B,op_c)
| ld(op_c,mult(B,op_c)) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(op_c,B)),B) ),[0,1],$fot(mult(B,op_c))]]) ).
cnf(refute_0_51,plain,
( ld(op_c,mult(op_c,B)) != B
| ld(op_c,mult(B,op_c)) = B ),
inference(resolve,[$cnf( $equal(mult(op_c,B),mult(B,op_c)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
ld(op_c,mult(B,op_c)) = B,
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,B)),B) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
ld(op_c,mult(mult(mult(op_c,op_c),X_24),op_c)) = mult(mult(op_c,op_c),X_24),
inference(subst,[],[refute_0_52:[bind(B,$fot(mult(mult(op_c,op_c),X_24)))]]) ).
cnf(refute_0_54,plain,
( ld(op_c,mult(mult(mult(op_c,op_c),X_24),op_c)) != mult(mult(op_c,op_c),X_24)
| mult(mult(mult(op_c,op_c),X_24),op_c) != mult(mult(op_c,op_c),mult(X_24,op_c))
| ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = mult(mult(op_c,op_c),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(mult(mult(op_c,op_c),X_24),op_c)),mult(mult(op_c,op_c),X_24)) ),[0,1],$fot(mult(mult(op_c,op_c),mult(X_24,op_c)))]]) ).
cnf(refute_0_55,plain,
( ld(op_c,mult(mult(mult(op_c,op_c),X_24),op_c)) != mult(mult(op_c,op_c),X_24)
| ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = mult(mult(op_c,op_c),X_24) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),X_24),op_c),mult(mult(op_c,op_c),mult(X_24,op_c))) )],[refute_0_44,refute_0_54]) ).
cnf(refute_0_56,plain,
ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = mult(mult(op_c,op_c),X_24),
inference(resolve,[$cnf( $equal(ld(op_c,mult(mult(mult(op_c,op_c),X_24),op_c)),mult(mult(op_c,op_c),X_24)) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24)))) = mult(op_c,mult(op_c,X_24)),
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(mult(op_c,mult(op_c,X_24))))]]) ).
cnf(refute_0_58,plain,
mult(mult(op_c,op_c),mult(op_c,X_25)) = mult(mult(mult(op_c,op_c),op_c),X_25),
inference(subst,[],[c09:[bind(A,$fot(op_c)),bind(B,$fot(X_25))]]) ).
cnf(refute_0_59,plain,
mult(op_c,mult(op_c,op_c)) = mult(mult(op_c,op_c),op_c),
inference(subst,[],[c08:[bind(A,$fot(mult(op_c,op_c)))]]) ).
cnf(refute_0_60,plain,
( mult(op_c,mult(op_c,op_c)) != mult(mult(op_c,op_c),op_c)
| mult(mult(op_c,op_c),op_c) = mult(op_c,mult(op_c,op_c)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,mult(op_c,op_c)))),bind(Y,$fot(mult(mult(op_c,op_c),op_c)))]]) ).
cnf(refute_0_61,plain,
mult(mult(op_c,op_c),op_c) = mult(op_c,mult(op_c,op_c)),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,op_c),op_c)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( mult(mult(op_c,op_c),mult(op_c,X_25)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(mult(op_c,op_c),op_c) != mult(op_c,mult(op_c,op_c))
| mult(mult(op_c,op_c),mult(op_c,X_25)) = mult(mult(op_c,mult(op_c,op_c)),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_c,op_c),mult(op_c,X_25)),mult(mult(mult(op_c,op_c),op_c),X_25)) ),[1,0],$fot(mult(op_c,mult(op_c,op_c)))]]) ).
cnf(refute_0_63,plain,
( mult(mult(op_c,op_c),mult(op_c,X_25)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(mult(op_c,op_c),mult(op_c,X_25)) = mult(mult(op_c,mult(op_c,op_c)),X_25) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),op_c),mult(op_c,mult(op_c,op_c))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
mult(mult(op_c,op_c),mult(op_c,X_25)) = mult(mult(op_c,mult(op_c,op_c)),X_25),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(op_c,X_25)),mult(mult(mult(op_c,op_c),op_c),X_25)) )],[refute_0_58,refute_0_63]) ).
cnf(refute_0_65,plain,
mult(op_c,X_25) = mult(X_25,op_c),
inference(subst,[],[c08:[bind(A,$fot(X_25))]]) ).
cnf(refute_0_66,plain,
( mult(mult(op_c,op_c),mult(op_c,X_25)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(op_c,X_25) != mult(X_25,op_c)
| mult(mult(op_c,op_c),mult(X_25,op_c)) = mult(mult(mult(op_c,op_c),op_c),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_c,op_c),mult(op_c,X_25)),mult(mult(mult(op_c,op_c),op_c),X_25)) ),[0,1],$fot(mult(X_25,op_c))]]) ).
cnf(refute_0_67,plain,
( mult(mult(op_c,op_c),mult(op_c,X_25)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(mult(op_c,op_c),mult(X_25,op_c)) = mult(mult(mult(op_c,op_c),op_c),X_25) ),
inference(resolve,[$cnf( $equal(mult(op_c,X_25),mult(X_25,op_c)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
mult(mult(op_c,op_c),mult(X_25,op_c)) = mult(mult(mult(op_c,op_c),op_c),X_25),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(op_c,X_25)),mult(mult(mult(op_c,op_c),op_c),X_25)) )],[refute_0_58,refute_0_67]) ).
cnf(refute_0_69,plain,
mult(op_c,mult(mult(op_c,op_c),X_24)) = mult(mult(mult(op_c,op_c),X_24),op_c),
inference(subst,[],[c08:[bind(A,$fot(mult(mult(op_c,op_c),X_24)))]]) ).
cnf(refute_0_70,plain,
( mult(mult(mult(op_c,op_c),X_24),op_c) != mult(mult(op_c,op_c),mult(X_24,op_c))
| mult(op_c,mult(mult(op_c,op_c),X_24)) != mult(mult(mult(op_c,op_c),X_24),op_c)
| mult(op_c,mult(mult(op_c,op_c),X_24)) = mult(mult(op_c,op_c),mult(X_24,op_c)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_24)),mult(mult(mult(op_c,op_c),X_24),op_c)) ),[1],$fot(mult(mult(op_c,op_c),mult(X_24,op_c)))]]) ).
cnf(refute_0_71,plain,
( mult(op_c,mult(mult(op_c,op_c),X_24)) != mult(mult(mult(op_c,op_c),X_24),op_c)
| mult(op_c,mult(mult(op_c,op_c),X_24)) = mult(mult(op_c,op_c),mult(X_24,op_c)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),X_24),op_c),mult(mult(op_c,op_c),mult(X_24,op_c))) )],[refute_0_44,refute_0_70]) ).
cnf(refute_0_72,plain,
mult(op_c,mult(mult(op_c,op_c),X_24)) = mult(mult(op_c,op_c),mult(X_24,op_c)),
inference(resolve,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_24)),mult(mult(mult(op_c,op_c),X_24),op_c)) )],[refute_0_69,refute_0_71]) ).
cnf(refute_0_73,plain,
( mult(op_c,mult(mult(op_c,op_c),X_24)) != mult(mult(op_c,op_c),mult(X_24,op_c))
| mult(mult(op_c,op_c),mult(X_24,op_c)) = mult(op_c,mult(mult(op_c,op_c),X_24)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,mult(mult(op_c,op_c),X_24)))),bind(Y,$fot(mult(mult(op_c,op_c),mult(X_24,op_c))))]]) ).
cnf(refute_0_74,plain,
mult(mult(op_c,op_c),mult(X_24,op_c)) = mult(op_c,mult(mult(op_c,op_c),X_24)),
inference(resolve,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_24)),mult(mult(op_c,op_c),mult(X_24,op_c))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
mult(mult(op_c,op_c),mult(X_25,op_c)) = mult(op_c,mult(mult(op_c,op_c),X_25)),
inference(subst,[],[refute_0_74:[bind(X_24,$fot(X_25))]]) ).
cnf(refute_0_76,plain,
( mult(mult(op_c,op_c),mult(X_25,op_c)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(mult(op_c,op_c),mult(X_25,op_c)) != mult(op_c,mult(mult(op_c,op_c),X_25))
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(mult(mult(op_c,op_c),op_c),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_25,op_c)),mult(mult(mult(op_c,op_c),op_c),X_25)) ),[0],$fot(mult(op_c,mult(mult(op_c,op_c),X_25)))]]) ).
cnf(refute_0_77,plain,
( mult(mult(op_c,op_c),mult(X_25,op_c)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(mult(mult(op_c,op_c),op_c),X_25) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_25,op_c)),mult(op_c,mult(mult(op_c,op_c),X_25))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( mult(mult(op_c,op_c),mult(A,B)) != mult(mult(mult(op_c,op_c),A),B)
| mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,op_c),mult(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(mult(op_c,op_c),mult(A,B)))),bind(Y,$fot(mult(mult(mult(op_c,op_c),A),B)))]]) ).
cnf(refute_0_79,plain,
mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,op_c),mult(A,B)),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(A,B)),mult(mult(mult(op_c,op_c),A),B)) )],[c09,refute_0_78]) ).
cnf(refute_0_80,plain,
mult(mult(mult(op_c,op_c),op_c),X_25) = mult(mult(op_c,op_c),mult(op_c,X_25)),
inference(subst,[],[refute_0_79:[bind(A,$fot(op_c)),bind(B,$fot(X_25))]]) ).
cnf(refute_0_81,plain,
( mult(mult(mult(op_c,op_c),op_c),X_25) != mult(mult(op_c,op_c),mult(op_c,X_25))
| mult(op_c,mult(mult(op_c,op_c),X_25)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(mult(op_c,op_c),mult(op_c,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_25)),mult(mult(mult(op_c,op_c),op_c),X_25)) ),[1],$fot(mult(mult(op_c,op_c),mult(op_c,X_25)))]]) ).
cnf(refute_0_82,plain,
( mult(op_c,mult(mult(op_c,op_c),X_25)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(mult(op_c,op_c),mult(op_c,X_25)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),op_c),X_25),mult(mult(op_c,op_c),mult(op_c,X_25))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( mult(mult(op_c,op_c),mult(X_25,op_c)) != mult(mult(mult(op_c,op_c),op_c),X_25)
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(mult(op_c,op_c),mult(op_c,X_25)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_25)),mult(mult(mult(op_c,op_c),op_c),X_25)) )],[refute_0_77,refute_0_82]) ).
cnf(refute_0_84,plain,
mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(mult(op_c,op_c),mult(op_c,X_25)),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_25,op_c)),mult(mult(mult(op_c,op_c),op_c),X_25)) )],[refute_0_68,refute_0_83]) ).
cnf(refute_0_85,plain,
( mult(op_c,mult(mult(op_c,op_c),X_25)) != mult(mult(op_c,op_c),mult(op_c,X_25))
| mult(mult(op_c,op_c),mult(op_c,X_25)) = mult(op_c,mult(mult(op_c,op_c),X_25)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,mult(mult(op_c,op_c),X_25)))),bind(Y,$fot(mult(mult(op_c,op_c),mult(op_c,X_25))))]]) ).
cnf(refute_0_86,plain,
mult(mult(op_c,op_c),mult(op_c,X_25)) = mult(op_c,mult(mult(op_c,op_c),X_25)),
inference(resolve,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_25)),mult(mult(op_c,op_c),mult(op_c,X_25))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
( mult(mult(op_c,op_c),mult(op_c,X_25)) != mult(mult(op_c,mult(op_c,op_c)),X_25)
| mult(mult(op_c,op_c),mult(op_c,X_25)) != mult(op_c,mult(mult(op_c,op_c),X_25))
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(mult(op_c,mult(op_c,op_c)),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_c,op_c),mult(op_c,X_25)),mult(mult(op_c,mult(op_c,op_c)),X_25)) ),[0],$fot(mult(op_c,mult(mult(op_c,op_c),X_25)))]]) ).
cnf(refute_0_88,plain,
( mult(mult(op_c,op_c),mult(op_c,X_25)) != mult(mult(op_c,mult(op_c,op_c)),X_25)
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(mult(op_c,mult(op_c,op_c)),X_25) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(op_c,X_25)),mult(op_c,mult(mult(op_c,op_c),X_25))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( mult(A,mult(B,mult(A,C))) != mult(mult(A,mult(B,A)),C)
| mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(A,mult(B,mult(A,C))))),bind(Y,$fot(mult(mult(A,mult(B,A)),C)))]]) ).
cnf(refute_0_90,plain,
mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))),
inference(resolve,[$cnf( $equal(mult(A,mult(B,mult(A,C))),mult(mult(A,mult(B,A)),C)) )],[c07,refute_0_89]) ).
cnf(refute_0_91,plain,
mult(mult(op_c,mult(op_c,op_c)),X_25) = mult(op_c,mult(op_c,mult(op_c,X_25))),
inference(subst,[],[refute_0_90:[bind(A,$fot(op_c)),bind(B,$fot(op_c)),bind(C,$fot(X_25))]]) ).
cnf(refute_0_92,plain,
( mult(mult(op_c,mult(op_c,op_c)),X_25) != mult(op_c,mult(op_c,mult(op_c,X_25)))
| mult(op_c,mult(mult(op_c,op_c),X_25)) != mult(mult(op_c,mult(op_c,op_c)),X_25)
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(op_c,mult(op_c,mult(op_c,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_25)),mult(mult(op_c,mult(op_c,op_c)),X_25)) ),[1],$fot(mult(op_c,mult(op_c,mult(op_c,X_25))))]]) ).
cnf(refute_0_93,plain,
( mult(op_c,mult(mult(op_c,op_c),X_25)) != mult(mult(op_c,mult(op_c,op_c)),X_25)
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(op_c,mult(op_c,mult(op_c,X_25))) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,mult(op_c,op_c)),X_25),mult(op_c,mult(op_c,mult(op_c,X_25)))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( mult(mult(op_c,op_c),mult(op_c,X_25)) != mult(mult(op_c,mult(op_c,op_c)),X_25)
| mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(op_c,mult(op_c,mult(op_c,X_25))) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_25)),mult(mult(op_c,mult(op_c,op_c)),X_25)) )],[refute_0_88,refute_0_93]) ).
cnf(refute_0_95,plain,
mult(op_c,mult(mult(op_c,op_c),X_25)) = mult(op_c,mult(op_c,mult(op_c,X_25))),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(op_c,X_25)),mult(mult(op_c,mult(op_c,op_c)),X_25)) )],[refute_0_64,refute_0_94]) ).
cnf(refute_0_96,plain,
mult(op_c,mult(mult(op_c,op_c),X_24)) = mult(op_c,mult(op_c,mult(op_c,X_24))),
inference(subst,[],[refute_0_95:[bind(X_25,$fot(X_24))]]) ).
cnf(refute_0_97,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_98,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_97]) ).
cnf(refute_0_99,plain,
( mult(mult(op_c,op_c),mult(X_24,op_c)) != mult(op_c,mult(mult(op_c,op_c),X_24))
| mult(op_c,mult(mult(op_c,op_c),X_24)) != mult(op_c,mult(op_c,mult(op_c,X_24)))
| mult(mult(op_c,op_c),mult(X_24,op_c)) = mult(op_c,mult(op_c,mult(op_c,X_24))) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(mult(mult(op_c,op_c),mult(X_24,op_c)))),bind(Y,$fot(mult(op_c,mult(mult(op_c,op_c),X_24)))),bind(Z,$fot(mult(op_c,mult(op_c,mult(op_c,X_24)))))]]) ).
cnf(refute_0_100,plain,
( mult(op_c,mult(mult(op_c,op_c),X_24)) != mult(op_c,mult(op_c,mult(op_c,X_24)))
| mult(mult(op_c,op_c),mult(X_24,op_c)) = mult(op_c,mult(op_c,mult(op_c,X_24))) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(op_c,mult(mult(op_c,op_c),X_24))) )],[refute_0_74,refute_0_99]) ).
cnf(refute_0_101,plain,
mult(mult(op_c,op_c),mult(X_24,op_c)) = mult(op_c,mult(op_c,mult(op_c,X_24))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(mult(op_c,op_c),X_24)),mult(op_c,mult(op_c,mult(op_c,X_24)))) )],[refute_0_96,refute_0_100]) ).
cnf(refute_0_102,plain,
ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))),
introduced(tautology,[refl,[$fot(ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))))]]) ).
cnf(refute_0_103,plain,
( ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) != ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c)))
| mult(mult(op_c,op_c),mult(X_24,op_c)) != mult(op_c,mult(op_c,mult(op_c,X_24)))
| ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24)))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))),ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c)))) ),[1,1],$fot(mult(op_c,mult(op_c,mult(op_c,X_24))))]]) ).
cnf(refute_0_104,plain,
( mult(mult(op_c,op_c),mult(X_24,op_c)) != mult(op_c,mult(op_c,mult(op_c,X_24)))
| ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24)))) ),
inference(resolve,[$cnf( $equal(ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))),ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24)))),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(op_c,mult(op_c,mult(op_c,X_24)))) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
( ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) != ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24))))
| ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24)))) != mult(op_c,mult(op_c,X_24))
| ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = mult(op_c,mult(op_c,X_24)) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))))),bind(Y,$fot(ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24)))))),bind(Z,$fot(mult(op_c,mult(op_c,X_24))))]]) ).
cnf(refute_0_107,plain,
( ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24)))) != mult(op_c,mult(op_c,X_24))
| ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = mult(op_c,mult(op_c,X_24)) ),
inference(resolve,[$cnf( $equal(ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))),ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24))))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) = mult(op_c,mult(op_c,X_24)),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,mult(op_c,X_24)))),mult(op_c,mult(op_c,X_24))) )],[refute_0_57,refute_0_107]) ).
cnf(refute_0_109,plain,
( ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) != mult(mult(op_c,op_c),X_24)
| ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) != mult(op_c,mult(op_c,X_24))
| mult(op_c,mult(op_c,X_24)) = mult(mult(op_c,op_c),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) ),[0],$fot(mult(op_c,mult(op_c,X_24)))]]) ).
cnf(refute_0_110,plain,
( ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))) != mult(mult(op_c,op_c),X_24)
| mult(op_c,mult(op_c,X_24)) = mult(mult(op_c,op_c),X_24) ),
inference(resolve,[$cnf( $equal(ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
mult(op_c,mult(op_c,X_24)) = mult(mult(op_c,op_c),X_24),
inference(resolve,[$cnf( $equal(ld(op_c,mult(mult(op_c,op_c),mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) )],[refute_0_56,refute_0_110]) ).
cnf(refute_0_112,plain,
( mult(op_c,mult(op_c,X_24)) != mult(mult(op_c,op_c),X_24)
| mult(mult(op_c,op_c),X_24) = mult(op_c,mult(op_c,X_24)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,mult(op_c,X_24)))),bind(Y,$fot(mult(mult(op_c,op_c),X_24)))]]) ).
cnf(refute_0_113,plain,
mult(mult(op_c,op_c),X_24) = mult(op_c,mult(op_c,X_24)),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,X_24)),mult(mult(op_c,op_c),X_24)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)),
introduced(tautology,[refl,[$fot(rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)))]]) ).
cnf(refute_0_115,plain,
( mult(mult(op_c,op_c),X_24) != mult(op_c,mult(op_c,X_24))
| rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) != rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24))
| rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)),rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24))) ),[1,1],$fot(mult(op_c,mult(op_c,X_24)))]]) ).
cnf(refute_0_116,plain,
( mult(mult(op_c,op_c),X_24) != mult(op_c,mult(op_c,X_24))
| rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))) ),
inference(resolve,[$cnf( $equal(rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)),rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),X_24),mult(op_c,mult(op_c,X_24))) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
mult(mult(op_c,op_c),mult(X_24,op_c)) = mult(op_c,mult(op_c,mult(X_24,op_c))),
inference(subst,[],[refute_0_113:[bind(X_24,$fot(mult(X_24,op_c)))]]) ).
cnf(refute_0_119,plain,
rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)),
introduced(tautology,[refl,[$fot(rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)))]]) ).
cnf(refute_0_120,plain,
( mult(mult(op_c,op_c),mult(X_24,op_c)) != mult(op_c,mult(op_c,mult(X_24,op_c)))
| rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) != rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24))
| rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)),rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24))) ),[1,0],$fot(mult(op_c,mult(op_c,mult(X_24,op_c))))]]) ).
cnf(refute_0_121,plain,
( mult(mult(op_c,op_c),mult(X_24,op_c)) != mult(op_c,mult(op_c,mult(X_24,op_c)))
| rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)),rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(op_c,mult(op_c,mult(X_24,op_c)))) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
( rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) != rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24))
| rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) != rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24)))
| rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)))),bind(Y,$fot(rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)))),bind(Z,$fot(rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24)))))]]) ).
cnf(refute_0_124,plain,
( rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)) != rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24)))
| rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)),rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) = rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))),
inference(resolve,[$cnf( $equal(rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(mult(op_c,op_c),X_24)),rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24)))) )],[refute_0_117,refute_0_124]) ).
cnf(refute_0_126,plain,
( rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) != op_c
| rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) != rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24)))
| rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))) = op_c ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)),op_c) ),[0],$fot(rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))))]]) ).
cnf(refute_0_127,plain,
( rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)) != op_c
| rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))) = op_c ),
inference(resolve,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)),rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24)))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
rd(mult(op_c,mult(op_c,mult(X_24,op_c))),mult(op_c,mult(op_c,X_24))) = op_c,
inference(resolve,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,op_c)),mult(mult(op_c,op_c),X_24)),op_c) )],[refute_0_47,refute_0_127]) ).
cnf(refute_0_129,plain,
rd(mult(op_c,mult(op_c,mult(X_26,op_c))),mult(op_c,mult(op_c,X_26))) = op_c,
inference(subst,[],[refute_0_128:[bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_130,plain,
( ld(rd(mult(op_c,mult(op_c,mult(X_26,op_c))),mult(op_c,mult(op_c,X_26))),mult(op_c,mult(op_c,mult(X_26,op_c)))) != mult(op_c,mult(op_c,X_26))
| rd(mult(op_c,mult(op_c,mult(X_26,op_c))),mult(op_c,mult(op_c,X_26))) != op_c
| ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))) = mult(op_c,mult(op_c,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(op_c,mult(op_c,mult(X_26,op_c))),mult(op_c,mult(op_c,X_26))),mult(op_c,mult(op_c,mult(X_26,op_c)))),mult(op_c,mult(op_c,X_26))) ),[0,0],$fot(op_c)]]) ).
cnf(refute_0_131,plain,
( ld(rd(mult(op_c,mult(op_c,mult(X_26,op_c))),mult(op_c,mult(op_c,X_26))),mult(op_c,mult(op_c,mult(X_26,op_c)))) != mult(op_c,mult(op_c,X_26))
| ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))) = mult(op_c,mult(op_c,X_26)) ),
inference(resolve,[$cnf( $equal(rd(mult(op_c,mult(op_c,mult(X_26,op_c))),mult(op_c,mult(op_c,X_26))),op_c) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))) = mult(op_c,mult(op_c,X_26)),
inference(resolve,[$cnf( $equal(ld(rd(mult(op_c,mult(op_c,mult(X_26,op_c))),mult(op_c,mult(op_c,X_26))),mult(op_c,mult(op_c,mult(X_26,op_c)))),mult(op_c,mult(op_c,X_26))) )],[refute_0_35,refute_0_131]) ).
cnf(refute_0_133,plain,
ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))) = mult(op_c,mult(X_26,op_c)),
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(mult(op_c,mult(X_26,op_c))))]]) ).
cnf(refute_0_134,plain,
( ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))) != mult(op_c,mult(X_26,op_c))
| ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))) != mult(op_c,mult(op_c,X_26))
| mult(op_c,mult(X_26,op_c)) = mult(op_c,mult(op_c,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))),mult(op_c,mult(op_c,X_26))) ),[0],$fot(mult(op_c,mult(X_26,op_c)))]]) ).
cnf(refute_0_135,plain,
( ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))) != mult(op_c,mult(op_c,X_26))
| mult(op_c,mult(X_26,op_c)) = mult(op_c,mult(op_c,X_26)) ),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))),mult(op_c,mult(X_26,op_c))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
mult(op_c,mult(X_26,op_c)) = mult(op_c,mult(op_c,X_26)),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,mult(X_26,op_c)))),mult(op_c,mult(op_c,X_26))) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
mult(op_c,mult(X_37,op_c)) = mult(op_c,mult(op_c,X_37)),
inference(subst,[],[refute_0_136:[bind(X_26,$fot(X_37))]]) ).
cnf(refute_0_138,plain,
( mult(op_c,mult(X_37,op_c)) != mult(op_c,mult(op_c,X_37))
| rd(mult(op_c,mult(X_37,op_c)),mult(X_37,op_c)) != op_c
| rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)) = op_c ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(op_c,mult(X_37,op_c)),mult(X_37,op_c)),op_c) ),[0,0],$fot(mult(op_c,mult(op_c,X_37)))]]) ).
cnf(refute_0_139,plain,
( rd(mult(op_c,mult(X_37,op_c)),mult(X_37,op_c)) != op_c
| rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)) = op_c ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_37,op_c)),mult(op_c,mult(op_c,X_37))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)) = op_c,
inference(resolve,[$cnf( $equal(rd(mult(op_c,mult(X_37,op_c)),mult(X_37,op_c)),op_c) )],[refute_0_34,refute_0_139]) ).
cnf(refute_0_141,plain,
rd(mult(mult(mult(op_c,op_c),X_24),B),B) = mult(mult(op_c,op_c),X_24),
inference(subst,[],[c04:[bind(A,$fot(mult(mult(op_c,op_c),X_24)))]]) ).
cnf(refute_0_142,plain,
mult(mult(op_c,op_c),mult(X_24,B)) = mult(mult(mult(op_c,op_c),X_24),B),
inference(subst,[],[c09:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_143,plain,
( mult(mult(op_c,op_c),mult(X_24,B)) != mult(mult(mult(op_c,op_c),X_24),B)
| mult(mult(mult(op_c,op_c),X_24),B) = mult(mult(op_c,op_c),mult(X_24,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(mult(op_c,op_c),mult(X_24,B)))),bind(Y,$fot(mult(mult(mult(op_c,op_c),X_24),B)))]]) ).
cnf(refute_0_144,plain,
mult(mult(mult(op_c,op_c),X_24),B) = mult(mult(op_c,op_c),mult(X_24,B)),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_24,B)),mult(mult(mult(op_c,op_c),X_24),B)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
( mult(mult(mult(op_c,op_c),X_24),B) != mult(mult(op_c,op_c),mult(X_24,B))
| rd(mult(mult(mult(op_c,op_c),X_24),B),B) != mult(mult(op_c,op_c),X_24)
| rd(mult(mult(op_c,op_c),mult(X_24,B)),B) = mult(mult(op_c,op_c),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(mult(op_c,op_c),X_24),B),B),mult(mult(op_c,op_c),X_24)) ),[0,0],$fot(mult(mult(op_c,op_c),mult(X_24,B)))]]) ).
cnf(refute_0_146,plain,
( rd(mult(mult(mult(op_c,op_c),X_24),B),B) != mult(mult(op_c,op_c),X_24)
| rd(mult(mult(op_c,op_c),mult(X_24,B)),B) = mult(mult(op_c,op_c),X_24) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),X_24),B),mult(mult(op_c,op_c),mult(X_24,B))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
rd(mult(mult(op_c,op_c),mult(X_24,B)),B) = mult(mult(op_c,op_c),X_24),
inference(resolve,[$cnf( $equal(rd(mult(mult(mult(op_c,op_c),X_24),B),B),mult(mult(op_c,op_c),X_24)) )],[refute_0_141,refute_0_146]) ).
cnf(refute_0_148,plain,
mult(mult(op_c,op_c),mult(X_24,B)) = mult(op_c,mult(op_c,mult(X_24,B))),
inference(subst,[],[refute_0_113:[bind(X_24,$fot(mult(X_24,B)))]]) ).
cnf(refute_0_149,plain,
rd(mult(mult(op_c,op_c),mult(X_24,B)),B) = rd(mult(mult(op_c,op_c),mult(X_24,B)),B),
introduced(tautology,[refl,[$fot(rd(mult(mult(op_c,op_c),mult(X_24,B)),B))]]) ).
cnf(refute_0_150,plain,
( mult(mult(op_c,op_c),mult(X_24,B)) != mult(op_c,mult(op_c,mult(X_24,B)))
| rd(mult(mult(op_c,op_c),mult(X_24,B)),B) != rd(mult(mult(op_c,op_c),mult(X_24,B)),B)
| rd(mult(mult(op_c,op_c),mult(X_24,B)),B) = rd(mult(op_c,mult(op_c,mult(X_24,B))),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,B)),B),rd(mult(mult(op_c,op_c),mult(X_24,B)),B)) ),[1,0],$fot(mult(op_c,mult(op_c,mult(X_24,B))))]]) ).
cnf(refute_0_151,plain,
( mult(mult(op_c,op_c),mult(X_24,B)) != mult(op_c,mult(op_c,mult(X_24,B)))
| rd(mult(mult(op_c,op_c),mult(X_24,B)),B) = rd(mult(op_c,mult(op_c,mult(X_24,B))),B) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,B)),B),rd(mult(mult(op_c,op_c),mult(X_24,B)),B)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
rd(mult(mult(op_c,op_c),mult(X_24,B)),B) = rd(mult(op_c,mult(op_c,mult(X_24,B))),B),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(X_24,B)),mult(op_c,mult(op_c,mult(X_24,B)))) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
( rd(mult(mult(op_c,op_c),mult(X_24,B)),B) != mult(mult(op_c,op_c),X_24)
| rd(mult(mult(op_c,op_c),mult(X_24,B)),B) != rd(mult(op_c,mult(op_c,mult(X_24,B))),B)
| rd(mult(op_c,mult(op_c,mult(X_24,B))),B) = mult(mult(op_c,op_c),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,B)),B),mult(mult(op_c,op_c),X_24)) ),[0],$fot(rd(mult(op_c,mult(op_c,mult(X_24,B))),B))]]) ).
cnf(refute_0_154,plain,
( rd(mult(mult(op_c,op_c),mult(X_24,B)),B) != mult(mult(op_c,op_c),X_24)
| rd(mult(op_c,mult(op_c,mult(X_24,B))),B) = mult(mult(op_c,op_c),X_24) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,B)),B),rd(mult(op_c,mult(op_c,mult(X_24,B))),B)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( mult(mult(op_c,op_c),X_24) != mult(op_c,mult(op_c,X_24))
| rd(mult(op_c,mult(op_c,mult(X_24,B))),B) != mult(mult(op_c,op_c),X_24)
| rd(mult(op_c,mult(op_c,mult(X_24,B))),B) = mult(op_c,mult(op_c,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(op_c,mult(op_c,mult(X_24,B))),B),mult(mult(op_c,op_c),X_24)) ),[1],$fot(mult(op_c,mult(op_c,X_24)))]]) ).
cnf(refute_0_156,plain,
( rd(mult(op_c,mult(op_c,mult(X_24,B))),B) != mult(mult(op_c,op_c),X_24)
| rd(mult(op_c,mult(op_c,mult(X_24,B))),B) = mult(op_c,mult(op_c,X_24)) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),X_24),mult(op_c,mult(op_c,X_24))) )],[refute_0_113,refute_0_155]) ).
cnf(refute_0_157,plain,
( rd(mult(mult(op_c,op_c),mult(X_24,B)),B) != mult(mult(op_c,op_c),X_24)
| rd(mult(op_c,mult(op_c,mult(X_24,B))),B) = mult(op_c,mult(op_c,X_24)) ),
inference(resolve,[$cnf( $equal(rd(mult(op_c,mult(op_c,mult(X_24,B))),B),mult(mult(op_c,op_c),X_24)) )],[refute_0_154,refute_0_156]) ).
cnf(refute_0_158,plain,
rd(mult(op_c,mult(op_c,mult(X_24,B))),B) = mult(op_c,mult(op_c,X_24)),
inference(resolve,[$cnf( $equal(rd(mult(mult(op_c,op_c),mult(X_24,B)),B),mult(mult(op_c,op_c),X_24)) )],[refute_0_147,refute_0_157]) ).
cnf(refute_0_159,plain,
rd(mult(op_c,mult(op_c,mult(rd(A,X_44),X_44))),X_44) = mult(op_c,mult(op_c,rd(A,X_44))),
inference(subst,[],[refute_0_158:[bind(B,$fot(X_44)),bind(X_24,$fot(rd(A,X_44)))]]) ).
cnf(refute_0_160,plain,
mult(rd(A,X_44),X_44) = A,
inference(subst,[],[c03:[bind(B,$fot(X_44))]]) ).
cnf(refute_0_161,plain,
( mult(rd(A,X_44),X_44) != A
| rd(mult(op_c,mult(op_c,mult(rd(A,X_44),X_44))),X_44) != mult(op_c,mult(op_c,rd(A,X_44)))
| rd(mult(op_c,mult(op_c,A)),X_44) = mult(op_c,mult(op_c,rd(A,X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(op_c,mult(op_c,mult(rd(A,X_44),X_44))),X_44),mult(op_c,mult(op_c,rd(A,X_44)))) ),[0,0,1,1],$fot(A)]]) ).
cnf(refute_0_162,plain,
( rd(mult(op_c,mult(op_c,mult(rd(A,X_44),X_44))),X_44) != mult(op_c,mult(op_c,rd(A,X_44)))
| rd(mult(op_c,mult(op_c,A)),X_44) = mult(op_c,mult(op_c,rd(A,X_44))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_44),X_44),A) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
rd(mult(op_c,mult(op_c,A)),X_44) = mult(op_c,mult(op_c,rd(A,X_44))),
inference(resolve,[$cnf( $equal(rd(mult(op_c,mult(op_c,mult(rd(A,X_44),X_44))),X_44),mult(op_c,mult(op_c,rd(A,X_44)))) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)) = mult(op_c,mult(op_c,rd(X_37,mult(X_37,op_c)))),
inference(subst,[],[refute_0_163:[bind(A,$fot(X_37)),bind(X_44,$fot(mult(X_37,op_c)))]]) ).
cnf(refute_0_165,plain,
( rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)) != mult(op_c,mult(op_c,rd(X_37,mult(X_37,op_c))))
| rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)) != op_c
| mult(op_c,mult(op_c,rd(X_37,mult(X_37,op_c)))) = op_c ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)),op_c) ),[0],$fot(mult(op_c,mult(op_c,rd(X_37,mult(X_37,op_c)))))]]) ).
cnf(refute_0_166,plain,
( rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)) != op_c
| mult(op_c,mult(op_c,rd(X_37,mult(X_37,op_c)))) = op_c ),
inference(resolve,[$cnf( $equal(rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)),mult(op_c,mult(op_c,rd(X_37,mult(X_37,op_c))))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
mult(op_c,mult(op_c,rd(X_37,mult(X_37,op_c)))) = op_c,
inference(resolve,[$cnf( $equal(rd(mult(op_c,mult(op_c,X_37)),mult(X_37,op_c)),op_c) )],[refute_0_140,refute_0_166]) ).
cnf(refute_0_168,plain,
mult(op_c,mult(op_c,rd(X_46,mult(X_46,op_c)))) = op_c,
inference(subst,[],[refute_0_167:[bind(X_37,$fot(X_46))]]) ).
cnf(refute_0_169,plain,
( ld(op_c,mult(op_c,mult(op_c,rd(X_46,mult(X_46,op_c))))) != mult(op_c,rd(X_46,mult(X_46,op_c)))
| mult(op_c,mult(op_c,rd(X_46,mult(X_46,op_c)))) != op_c
| ld(op_c,op_c) = mult(op_c,rd(X_46,mult(X_46,op_c))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,rd(X_46,mult(X_46,op_c))))),mult(op_c,rd(X_46,mult(X_46,op_c)))) ),[0,1],$fot(op_c)]]) ).
cnf(refute_0_170,plain,
( ld(op_c,mult(op_c,mult(op_c,rd(X_46,mult(X_46,op_c))))) != mult(op_c,rd(X_46,mult(X_46,op_c)))
| ld(op_c,op_c) = mult(op_c,rd(X_46,mult(X_46,op_c))) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,rd(X_46,mult(X_46,op_c)))),op_c) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
ld(op_c,op_c) = mult(op_c,rd(X_46,mult(X_46,op_c))),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,rd(X_46,mult(X_46,op_c))))),mult(op_c,rd(X_46,mult(X_46,op_c)))) )],[refute_0_33,refute_0_170]) ).
cnf(refute_0_172,plain,
ld(X_2,mult(X_2,unit)) = unit,
inference(subst,[],[c02:[bind(A,$fot(X_2)),bind(B,$fot(unit))]]) ).
cnf(refute_0_173,plain,
mult(X_2,unit) = X_2,
inference(subst,[],[c05:[bind(A,$fot(X_2))]]) ).
cnf(refute_0_174,plain,
( ld(X_2,mult(X_2,unit)) != unit
| mult(X_2,unit) != X_2
| ld(X_2,X_2) = unit ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_2,mult(X_2,unit)),unit) ),[0,1],$fot(X_2)]]) ).
cnf(refute_0_175,plain,
( ld(X_2,mult(X_2,unit)) != unit
| ld(X_2,X_2) = unit ),
inference(resolve,[$cnf( $equal(mult(X_2,unit),X_2) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
ld(X_2,X_2) = unit,
inference(resolve,[$cnf( $equal(ld(X_2,mult(X_2,unit)),unit) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
ld(op_c,op_c) = unit,
inference(subst,[],[refute_0_176:[bind(X_2,$fot(op_c))]]) ).
cnf(refute_0_178,plain,
( ld(op_c,op_c) != mult(op_c,rd(X_46,mult(X_46,op_c)))
| ld(op_c,op_c) != unit
| unit = mult(op_c,rd(X_46,mult(X_46,op_c))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,op_c),mult(op_c,rd(X_46,mult(X_46,op_c)))) ),[0],$fot(unit)]]) ).
cnf(refute_0_179,plain,
( ld(op_c,op_c) != mult(op_c,rd(X_46,mult(X_46,op_c)))
| unit = mult(op_c,rd(X_46,mult(X_46,op_c))) ),
inference(resolve,[$cnf( $equal(ld(op_c,op_c),unit) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
unit = mult(op_c,rd(X_46,mult(X_46,op_c))),
inference(resolve,[$cnf( $equal(ld(op_c,op_c),mult(op_c,rd(X_46,mult(X_46,op_c)))) )],[refute_0_171,refute_0_179]) ).
cnf(refute_0_181,plain,
unit = mult(op_c,rd(X_47,mult(X_47,op_c))),
inference(subst,[],[refute_0_180:[bind(X_46,$fot(X_47))]]) ).
cnf(refute_0_182,plain,
( unit != mult(op_c,rd(X_47,mult(X_47,op_c)))
| mult(op_c,rd(X_47,mult(X_47,op_c))) = unit ),
inference(subst,[],[refute_0_2:[bind(X,$fot(unit)),bind(Y,$fot(mult(op_c,rd(X_47,mult(X_47,op_c)))))]]) ).
cnf(refute_0_183,plain,
mult(op_c,rd(X_47,mult(X_47,op_c))) = unit,
inference(resolve,[$cnf( $equal(unit,mult(op_c,rd(X_47,mult(X_47,op_c)))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
( ld(op_c,mult(op_c,rd(X_47,mult(X_47,op_c)))) != rd(X_47,mult(X_47,op_c))
| mult(op_c,rd(X_47,mult(X_47,op_c))) != unit
| ld(op_c,unit) = rd(X_47,mult(X_47,op_c)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(op_c,rd(X_47,mult(X_47,op_c)))),rd(X_47,mult(X_47,op_c))) ),[0,1],$fot(unit)]]) ).
cnf(refute_0_185,plain,
( ld(op_c,mult(op_c,rd(X_47,mult(X_47,op_c)))) != rd(X_47,mult(X_47,op_c))
| ld(op_c,unit) = rd(X_47,mult(X_47,op_c)) ),
inference(resolve,[$cnf( $equal(mult(op_c,rd(X_47,mult(X_47,op_c))),unit) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
ld(op_c,unit) = rd(X_47,mult(X_47,op_c)),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,rd(X_47,mult(X_47,op_c)))),rd(X_47,mult(X_47,op_c))) )],[refute_0_32,refute_0_185]) ).
cnf(refute_0_187,plain,
ld(op_c,unit) = rd(X_6,mult(X_6,op_c)),
inference(subst,[],[refute_0_186:[bind(X_47,$fot(X_6))]]) ).
cnf(refute_0_188,plain,
( ld(op_c,unit) != rd(X_6,mult(X_6,op_c))
| rd(X_6,mult(X_6,op_c)) = ld(op_c,unit) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(ld(op_c,unit))),bind(Y,$fot(rd(X_6,mult(X_6,op_c))))]]) ).
cnf(refute_0_189,plain,
rd(X_6,mult(X_6,op_c)) = ld(op_c,unit),
inference(resolve,[$cnf( $equal(ld(op_c,unit),rd(X_6,mult(X_6,op_c))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( ld(rd(X_6,mult(X_6,op_c)),X_6) != mult(X_6,op_c)
| rd(X_6,mult(X_6,op_c)) != ld(op_c,unit)
| ld(ld(op_c,unit),X_6) = mult(X_6,op_c) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_6,mult(X_6,op_c)),X_6),mult(X_6,op_c)) ),[0,0],$fot(ld(op_c,unit))]]) ).
cnf(refute_0_191,plain,
( ld(rd(X_6,mult(X_6,op_c)),X_6) != mult(X_6,op_c)
| ld(ld(op_c,unit),X_6) = mult(X_6,op_c) ),
inference(resolve,[$cnf( $equal(rd(X_6,mult(X_6,op_c)),ld(op_c,unit)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
ld(ld(op_c,unit),X_6) = mult(X_6,op_c),
inference(resolve,[$cnf( $equal(ld(rd(X_6,mult(X_6,op_c)),X_6),mult(X_6,op_c)) )],[refute_0_31,refute_0_191]) ).
cnf(refute_0_193,plain,
ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) = mult(mult(X_65,mult(X_66,X_65)),op_c),
inference(subst,[],[refute_0_192:[bind(X_6,$fot(mult(X_65,mult(X_66,X_65))))]]) ).
cnf(refute_0_194,plain,
( mult(X_65,mult(X_66,mult(X_65,op_c))) != mult(mult(X_65,mult(X_66,X_65)),op_c)
| mult(mult(X_65,mult(X_66,X_65)),op_c) = mult(X_65,mult(X_66,mult(X_65,op_c))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(X_65,mult(X_66,mult(X_65,op_c))))),bind(Y,$fot(mult(mult(X_65,mult(X_66,X_65)),op_c)))]]) ).
cnf(refute_0_195,plain,
mult(mult(X_65,mult(X_66,X_65)),op_c) = mult(X_65,mult(X_66,mult(X_65,op_c))),
inference(resolve,[$cnf( $equal(mult(X_65,mult(X_66,mult(X_65,op_c))),mult(mult(X_65,mult(X_66,X_65)),op_c)) )],[refute_0_10,refute_0_194]) ).
cnf(refute_0_196,plain,
( ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) != mult(mult(X_65,mult(X_66,X_65)),op_c)
| mult(mult(X_65,mult(X_66,X_65)),op_c) != mult(X_65,mult(X_66,mult(X_65,op_c)))
| ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) = mult(X_65,mult(X_66,mult(X_65,op_c))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))),mult(X_65,mult(X_66,mult(X_65,op_c)))) ),[0],$fot(mult(mult(X_65,mult(X_66,X_65)),op_c))]]) ).
cnf(refute_0_197,plain,
( ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) != mult(mult(X_65,mult(X_66,X_65)),op_c)
| ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) = mult(X_65,mult(X_66,mult(X_65,op_c))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_65,mult(X_66,X_65)),op_c),mult(X_65,mult(X_66,mult(X_65,op_c)))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) = mult(X_65,mult(X_66,mult(X_65,op_c))),
inference(resolve,[$cnf( $equal(ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))),mult(mult(X_65,mult(X_66,X_65)),op_c)) )],[refute_0_193,refute_0_197]) ).
cnf(refute_0_199,plain,
( ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) != mult(mult(X_65,mult(X_66,X_65)),op_c)
| mult(mult(X_65,mult(X_66,X_65)),op_c) != mult(op_c,mult(X_65,mult(X_66,X_65)))
| ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) = mult(op_c,mult(X_65,mult(X_66,X_65))) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))))),bind(Y,$fot(mult(mult(X_65,mult(X_66,X_65)),op_c))),bind(Z,$fot(mult(op_c,mult(X_65,mult(X_66,X_65)))))]]) ).
cnf(refute_0_200,plain,
( mult(mult(X_65,mult(X_66,X_65)),op_c) != mult(op_c,mult(X_65,mult(X_66,X_65)))
| ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) = mult(op_c,mult(X_65,mult(X_66,X_65))) ),
inference(resolve,[$cnf( $equal(ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))),mult(mult(X_65,mult(X_66,X_65)),op_c)) )],[refute_0_193,refute_0_199]) ).
cnf(refute_0_201,plain,
ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) = mult(op_c,mult(X_65,mult(X_66,X_65))),
inference(resolve,[$cnf( $equal(mult(mult(X_65,mult(X_66,X_65)),op_c),mult(op_c,mult(X_65,mult(X_66,X_65)))) )],[refute_0_17,refute_0_200]) ).
cnf(refute_0_202,plain,
( ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) != mult(X_65,mult(X_66,mult(X_65,op_c)))
| ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) != mult(op_c,mult(X_65,mult(X_66,X_65)))
| mult(op_c,mult(X_65,mult(X_66,X_65))) = mult(X_65,mult(X_66,mult(X_65,op_c))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))),mult(X_65,mult(X_66,mult(X_65,op_c)))) ),[0],$fot(mult(op_c,mult(X_65,mult(X_66,X_65))))]]) ).
cnf(refute_0_203,plain,
( ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))) != mult(X_65,mult(X_66,mult(X_65,op_c)))
| mult(op_c,mult(X_65,mult(X_66,X_65))) = mult(X_65,mult(X_66,mult(X_65,op_c))) ),
inference(resolve,[$cnf( $equal(ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))),mult(op_c,mult(X_65,mult(X_66,X_65)))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
mult(op_c,mult(X_65,mult(X_66,X_65))) = mult(X_65,mult(X_66,mult(X_65,op_c))),
inference(resolve,[$cnf( $equal(ld(ld(op_c,unit),mult(X_65,mult(X_66,X_65))),mult(X_65,mult(X_66,mult(X_65,op_c)))) )],[refute_0_198,refute_0_203]) ).
cnf(refute_0_205,plain,
mult(op_c,mult(A,mult(X_77,A))) = mult(A,mult(X_77,mult(A,op_c))),
inference(subst,[],[refute_0_204:[bind(X_65,$fot(A)),bind(X_66,$fot(X_77))]]) ).
cnf(refute_0_206,plain,
( mult(op_c,mult(A,mult(X_77,A))) != mult(A,mult(X_77,mult(A,op_c)))
| mult(A,mult(X_77,mult(A,op_c))) = mult(op_c,mult(A,mult(X_77,A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,mult(A,mult(X_77,A))))),bind(Y,$fot(mult(A,mult(X_77,mult(A,op_c)))))]]) ).
cnf(refute_0_207,plain,
mult(A,mult(X_77,mult(A,op_c))) = mult(op_c,mult(A,mult(X_77,A))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(A,mult(X_77,A))),mult(A,mult(X_77,mult(A,op_c)))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
( ld(A,mult(A,mult(X_77,mult(A,op_c)))) != mult(X_77,mult(A,op_c))
| mult(A,mult(X_77,mult(A,op_c))) != mult(op_c,mult(A,mult(X_77,A)))
| ld(A,mult(op_c,mult(A,mult(X_77,A)))) = mult(X_77,mult(A,op_c)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(X_77,mult(A,op_c)))),mult(X_77,mult(A,op_c))) ),[0,1],$fot(mult(op_c,mult(A,mult(X_77,A))))]]) ).
cnf(refute_0_209,plain,
( ld(A,mult(A,mult(X_77,mult(A,op_c)))) != mult(X_77,mult(A,op_c))
| ld(A,mult(op_c,mult(A,mult(X_77,A)))) = mult(X_77,mult(A,op_c)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(X_77,mult(A,op_c))),mult(op_c,mult(A,mult(X_77,A)))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
ld(A,mult(op_c,mult(A,mult(X_77,A)))) = mult(X_77,mult(A,op_c)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(X_77,mult(A,op_c)))),mult(X_77,mult(A,op_c))) )],[refute_0_25,refute_0_209]) ).
cnf(refute_0_211,plain,
ld(A,mult(op_c,mult(A,mult(X_86,A)))) = mult(X_86,mult(A,op_c)),
inference(subst,[],[refute_0_210:[bind(X_77,$fot(X_86))]]) ).
cnf(refute_0_212,plain,
( ld(A,mult(op_c,mult(A,mult(X_86,A)))) != mult(X_86,mult(A,op_c))
| ld(A,mult(op_c,mult(A,mult(X_86,A)))) != mult(X_86,mult(op_c,A))
| mult(X_86,mult(A,op_c)) = mult(X_86,mult(op_c,A)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(op_c,mult(A,mult(X_86,A)))),mult(X_86,mult(op_c,A))) ),[0],$fot(mult(X_86,mult(A,op_c)))]]) ).
cnf(refute_0_213,plain,
( ld(A,mult(op_c,mult(A,mult(X_86,A)))) != mult(X_86,mult(op_c,A))
| mult(X_86,mult(A,op_c)) = mult(X_86,mult(op_c,A)) ),
inference(resolve,[$cnf( $equal(ld(A,mult(op_c,mult(A,mult(X_86,A)))),mult(X_86,mult(A,op_c))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
mult(X_86,mult(A,op_c)) = mult(X_86,mult(op_c,A)),
inference(resolve,[$cnf( $equal(ld(A,mult(op_c,mult(A,mult(X_86,A)))),mult(X_86,mult(op_c,A))) )],[refute_0_24,refute_0_213]) ).
cnf(refute_0_215,plain,
( mult(X_86,mult(A,op_c)) != mult(X_86,mult(op_c,A))
| mult(X_86,mult(op_c,A)) = mult(X_86,mult(A,op_c)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(X_86,mult(A,op_c)))),bind(Y,$fot(mult(X_86,mult(op_c,A))))]]) ).
cnf(refute_0_216,plain,
mult(X_86,mult(op_c,A)) = mult(X_86,mult(A,op_c)),
inference(resolve,[$cnf( $equal(mult(X_86,mult(A,op_c)),mult(X_86,mult(op_c,A))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
mult(a,mult(op_c,b)) = mult(a,mult(b,op_c)),
inference(subst,[],[refute_0_216:[bind(A,$fot(b)),bind(X_86,$fot(a))]]) ).
cnf(refute_0_218,plain,
ld(op_c,mult(op_c,mult(X_89,mult(op_c,X_90)))) = mult(X_89,mult(op_c,X_90)),
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(mult(X_89,mult(op_c,X_90))))]]) ).
cnf(refute_0_219,plain,
mult(op_c,mult(X_66,mult(op_c,X_67))) = mult(mult(op_c,mult(X_66,op_c)),X_67),
inference(subst,[],[c07:[bind(A,$fot(op_c)),bind(B,$fot(X_66)),bind(C,$fot(X_67))]]) ).
cnf(refute_0_220,plain,
mult(op_c,X_66) = mult(X_66,op_c),
inference(subst,[],[c08:[bind(A,$fot(X_66))]]) ).
cnf(refute_0_221,plain,
( mult(op_c,X_66) != mult(X_66,op_c)
| mult(X_66,op_c) = mult(op_c,X_66) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,X_66))),bind(Y,$fot(mult(X_66,op_c)))]]) ).
cnf(refute_0_222,plain,
mult(X_66,op_c) = mult(op_c,X_66),
inference(resolve,[$cnf( $equal(mult(op_c,X_66),mult(X_66,op_c)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
( mult(X_66,op_c) != mult(op_c,X_66)
| mult(op_c,mult(X_66,mult(op_c,X_67))) != mult(mult(op_c,mult(X_66,op_c)),X_67)
| mult(op_c,mult(X_66,mult(op_c,X_67))) = mult(mult(op_c,mult(op_c,X_66)),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(X_66,mult(op_c,X_67))),mult(mult(op_c,mult(X_66,op_c)),X_67)) ),[1,0,1],$fot(mult(op_c,X_66))]]) ).
cnf(refute_0_224,plain,
( mult(op_c,mult(X_66,mult(op_c,X_67))) != mult(mult(op_c,mult(X_66,op_c)),X_67)
| mult(op_c,mult(X_66,mult(op_c,X_67))) = mult(mult(op_c,mult(op_c,X_66)),X_67) ),
inference(resolve,[$cnf( $equal(mult(X_66,op_c),mult(op_c,X_66)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
mult(op_c,mult(X_66,mult(op_c,X_67))) = mult(mult(op_c,mult(op_c,X_66)),X_67),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_66,mult(op_c,X_67))),mult(mult(op_c,mult(X_66,op_c)),X_67)) )],[refute_0_219,refute_0_224]) ).
cnf(refute_0_226,plain,
mult(mult(op_c,op_c),mult(A,B)) = mult(op_c,mult(op_c,mult(A,B))),
inference(subst,[],[refute_0_113:[bind(X_24,$fot(mult(A,B)))]]) ).
cnf(refute_0_227,plain,
( mult(mult(op_c,op_c),mult(A,B)) != mult(mult(mult(op_c,op_c),A),B)
| mult(mult(op_c,op_c),mult(A,B)) != mult(op_c,mult(op_c,mult(A,B)))
| mult(op_c,mult(op_c,mult(A,B))) = mult(mult(mult(op_c,op_c),A),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_c,op_c),mult(A,B)),mult(mult(mult(op_c,op_c),A),B)) ),[0],$fot(mult(op_c,mult(op_c,mult(A,B))))]]) ).
cnf(refute_0_228,plain,
( mult(mult(op_c,op_c),mult(A,B)) != mult(mult(mult(op_c,op_c),A),B)
| mult(op_c,mult(op_c,mult(A,B))) = mult(mult(mult(op_c,op_c),A),B) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(A,B)),mult(op_c,mult(op_c,mult(A,B)))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
mult(mult(op_c,op_c),A) = mult(op_c,mult(op_c,A)),
inference(subst,[],[refute_0_113:[bind(X_24,$fot(A))]]) ).
cnf(refute_0_230,plain,
mult(mult(mult(op_c,op_c),A),B) = mult(mult(mult(op_c,op_c),A),B),
introduced(tautology,[refl,[$fot(mult(mult(mult(op_c,op_c),A),B))]]) ).
cnf(refute_0_231,plain,
( mult(mult(mult(op_c,op_c),A),B) != mult(mult(mult(op_c,op_c),A),B)
| mult(mult(op_c,op_c),A) != mult(op_c,mult(op_c,A))
| mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,mult(op_c,A)),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(op_c,op_c),A),B),mult(mult(mult(op_c,op_c),A),B)) ),[1,0],$fot(mult(op_c,mult(op_c,A)))]]) ).
cnf(refute_0_232,plain,
( mult(mult(op_c,op_c),A) != mult(op_c,mult(op_c,A))
| mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,mult(op_c,A)),B) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),A),B),mult(mult(mult(op_c,op_c),A),B)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,mult(op_c,A)),B),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),A),mult(op_c,mult(op_c,A))) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( mult(mult(mult(op_c,op_c),A),B) != mult(mult(op_c,mult(op_c,A)),B)
| mult(op_c,mult(op_c,mult(A,B))) != mult(mult(mult(op_c,op_c),A),B)
| mult(op_c,mult(op_c,mult(A,B))) = mult(mult(op_c,mult(op_c,A)),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(op_c,mult(A,B))),mult(mult(mult(op_c,op_c),A),B)) ),[1],$fot(mult(mult(op_c,mult(op_c,A)),B))]]) ).
cnf(refute_0_235,plain,
( mult(op_c,mult(op_c,mult(A,B))) != mult(mult(mult(op_c,op_c),A),B)
| mult(op_c,mult(op_c,mult(A,B))) = mult(mult(op_c,mult(op_c,A)),B) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),A),B),mult(mult(op_c,mult(op_c,A)),B)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( mult(mult(op_c,op_c),mult(A,B)) != mult(mult(mult(op_c,op_c),A),B)
| mult(op_c,mult(op_c,mult(A,B))) = mult(mult(op_c,mult(op_c,A)),B) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,mult(A,B))),mult(mult(mult(op_c,op_c),A),B)) )],[refute_0_228,refute_0_235]) ).
cnf(refute_0_237,plain,
mult(op_c,mult(op_c,mult(A,B))) = mult(mult(op_c,mult(op_c,A)),B),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(A,B)),mult(mult(mult(op_c,op_c),A),B)) )],[c09,refute_0_236]) ).
cnf(refute_0_238,plain,
( mult(op_c,mult(op_c,mult(A,B))) != mult(mult(op_c,mult(op_c,A)),B)
| mult(mult(op_c,mult(op_c,A)),B) = mult(op_c,mult(op_c,mult(A,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,mult(op_c,mult(A,B))))),bind(Y,$fot(mult(mult(op_c,mult(op_c,A)),B)))]]) ).
cnf(refute_0_239,plain,
mult(mult(op_c,mult(op_c,A)),B) = mult(op_c,mult(op_c,mult(A,B))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,mult(A,B))),mult(mult(op_c,mult(op_c,A)),B)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
mult(mult(op_c,mult(op_c,X_66)),X_67) = mult(op_c,mult(op_c,mult(X_66,X_67))),
inference(subst,[],[refute_0_239:[bind(A,$fot(X_66)),bind(B,$fot(X_67))]]) ).
cnf(refute_0_241,plain,
( mult(mult(op_c,mult(op_c,X_66)),X_67) != mult(op_c,mult(op_c,mult(X_66,X_67)))
| mult(op_c,mult(X_66,mult(op_c,X_67))) != mult(mult(op_c,mult(op_c,X_66)),X_67)
| mult(op_c,mult(X_66,mult(op_c,X_67))) = mult(op_c,mult(op_c,mult(X_66,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(X_66,mult(op_c,X_67))),mult(mult(op_c,mult(op_c,X_66)),X_67)) ),[1],$fot(mult(op_c,mult(op_c,mult(X_66,X_67))))]]) ).
cnf(refute_0_242,plain,
( mult(op_c,mult(X_66,mult(op_c,X_67))) != mult(mult(op_c,mult(op_c,X_66)),X_67)
| mult(op_c,mult(X_66,mult(op_c,X_67))) = mult(op_c,mult(op_c,mult(X_66,X_67))) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,mult(op_c,X_66)),X_67),mult(op_c,mult(op_c,mult(X_66,X_67)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
mult(op_c,mult(X_66,mult(op_c,X_67))) = mult(op_c,mult(op_c,mult(X_66,X_67))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_66,mult(op_c,X_67))),mult(mult(op_c,mult(op_c,X_66)),X_67)) )],[refute_0_225,refute_0_242]) ).
cnf(refute_0_244,plain,
mult(op_c,mult(X_89,mult(op_c,X_90))) = mult(op_c,mult(op_c,mult(X_89,X_90))),
inference(subst,[],[refute_0_243:[bind(X_66,$fot(X_89)),bind(X_67,$fot(X_90))]]) ).
cnf(refute_0_245,plain,
( ld(op_c,mult(op_c,mult(X_89,mult(op_c,X_90)))) != mult(X_89,mult(op_c,X_90))
| mult(op_c,mult(X_89,mult(op_c,X_90))) != mult(op_c,mult(op_c,mult(X_89,X_90)))
| ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))) = mult(X_89,mult(op_c,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(op_c,mult(X_89,mult(op_c,X_90)))),mult(X_89,mult(op_c,X_90))) ),[0,1],$fot(mult(op_c,mult(op_c,mult(X_89,X_90))))]]) ).
cnf(refute_0_246,plain,
( ld(op_c,mult(op_c,mult(X_89,mult(op_c,X_90)))) != mult(X_89,mult(op_c,X_90))
| ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))) = mult(X_89,mult(op_c,X_90)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_89,mult(op_c,X_90))),mult(op_c,mult(op_c,mult(X_89,X_90)))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))) = mult(X_89,mult(op_c,X_90)),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(X_89,mult(op_c,X_90)))),mult(X_89,mult(op_c,X_90))) )],[refute_0_218,refute_0_246]) ).
cnf(refute_0_248,plain,
ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))) = mult(op_c,mult(X_89,X_90)),
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(mult(op_c,mult(X_89,X_90))))]]) ).
cnf(refute_0_249,plain,
( ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))) != mult(X_89,mult(op_c,X_90))
| ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))) != mult(op_c,mult(X_89,X_90))
| mult(op_c,mult(X_89,X_90)) = mult(X_89,mult(op_c,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))),mult(X_89,mult(op_c,X_90))) ),[0],$fot(mult(op_c,mult(X_89,X_90)))]]) ).
cnf(refute_0_250,plain,
( ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))) != mult(X_89,mult(op_c,X_90))
| mult(op_c,mult(X_89,X_90)) = mult(X_89,mult(op_c,X_90)) ),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))),mult(op_c,mult(X_89,X_90))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
mult(op_c,mult(X_89,X_90)) = mult(X_89,mult(op_c,X_90)),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(op_c,mult(X_89,X_90)))),mult(X_89,mult(op_c,X_90))) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
mult(op_c,mult(a,b)) = mult(a,mult(op_c,b)),
inference(subst,[],[refute_0_251:[bind(X_89,$fot(a)),bind(X_90,$fot(b))]]) ).
cnf(refute_0_253,plain,
( mult(a,mult(op_c,b)) != mult(a,mult(b,op_c))
| mult(op_c,mult(a,b)) != mult(a,mult(op_c,b))
| mult(op_c,mult(a,b)) = mult(a,mult(b,op_c)) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(mult(op_c,mult(a,b)))),bind(Y,$fot(mult(a,mult(op_c,b)))),bind(Z,$fot(mult(a,mult(b,op_c))))]]) ).
cnf(refute_0_254,plain,
( mult(a,mult(op_c,b)) != mult(a,mult(b,op_c))
| mult(op_c,mult(a,b)) = mult(a,mult(b,op_c)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(a,b)),mult(a,mult(op_c,b))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
mult(op_c,mult(a,b)) = mult(a,mult(b,op_c)),
inference(resolve,[$cnf( $equal(mult(a,mult(op_c,b)),mult(a,mult(b,op_c))) )],[refute_0_217,refute_0_254]) ).
cnf(refute_0_256,plain,
( mult(a,mult(b,op_c)) != mult(a,mult(b,op_c))
| mult(op_c,mult(a,b)) != mult(a,mult(b,op_c))
| mult(a,mult(b,op_c)) = mult(op_c,mult(a,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(a,mult(b,op_c)),mult(op_c,mult(a,b))) ),[1],$fot(mult(a,mult(b,op_c)))]]) ).
cnf(refute_0_257,plain,
( mult(a,mult(b,op_c)) != mult(a,mult(b,op_c))
| mult(a,mult(b,op_c)) = mult(op_c,mult(a,b)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(a,b)),mult(a,mult(b,op_c))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
mult(a,mult(b,op_c)) != mult(a,mult(b,op_c)),
inference(resolve,[$cnf( $equal(mult(a,mult(b,op_c)),mult(op_c,mult(a,b))) )],[refute_0_257,refute_0_8]) ).
cnf(refute_0_259,plain,
mult(a,mult(b,op_c)) = mult(a,mult(b,op_c)),
introduced(tautology,[refl,[$fot(mult(a,mult(b,op_c)))]]) ).
cnf(refute_0_260,plain,
$false,
inference(resolve,[$cnf( $equal(mult(a,mult(b,op_c)),mult(a,mult(b,op_c))) )],[refute_0_259,refute_0_258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.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 12:27:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.00/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.18
% 1.00/1.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.00/1.23
%------------------------------------------------------------------------------