TSTP Solution File: BOO022-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO022-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:45:14 EDT 2022
% Result : Unsatisfiable 32.75s 32.92s
% Output : CNFRefutation 32.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 117
% Syntax : Number of clauses : 478 ( 254 unt; 0 nHn; 229 RR)
% Number of literals : 807 ( 806 equ; 332 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 882 ( 49 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(multiply_add,axiom,
multiply(add(X,Y),Y) = Y ).
cnf(multiply_add_property,axiom,
multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)) ).
cnf(additive_inverse,axiom,
add(X,inverse(X)) = n1 ).
cnf(add_multiply,axiom,
add(multiply(X,Y),Y) = Y ).
cnf(add_multiply_property,axiom,
add(X,multiply(Y,Z)) = multiply(add(Y,X),add(Z,X)) ).
cnf(multiplicative_inverse,axiom,
multiply(X,inverse(X)) = n0 ).
cnf(prove_associativity_of_multiply,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)) ).
cnf(refute_0_0,plain,
add(multiply(add(X,X_5),X_5),X_5) = X_5,
inference(subst,[],[add_multiply:[bind(X,$fot(add(X,X_5))),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_1,plain,
multiply(add(X,X_5),X_5) = X_5,
inference(subst,[],[multiply_add:[bind(Y,$fot(X_5))]]) ).
cnf(refute_0_2,plain,
( multiply(add(X,X_5),X_5) != X_5
| add(multiply(add(X,X_5),X_5),X_5) != X_5
| add(X_5,X_5) = X_5 ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X,X_5),X_5),X_5),X_5) ),[0,0],$fot(X_5)]]) ).
cnf(refute_0_3,plain,
( add(multiply(add(X,X_5),X_5),X_5) != X_5
| add(X_5,X_5) = X_5 ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_5),X_5),X_5) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
add(X_5,X_5) = X_5,
inference(resolve,[$cnf( $equal(add(multiply(add(X,X_5),X_5),X_5),X_5) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
add(multiply(X_37,X_36),multiply(X_37,X_36)) = multiply(X_37,X_36),
inference(subst,[],[refute_0_4:[bind(X_5,$fot(multiply(X_37,X_36)))]]) ).
cnf(refute_0_6,plain,
multiply(X_36,add(X_37,X_37)) = add(multiply(X_37,X_36),multiply(X_37,X_36)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_7,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_8,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_9,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( multiply(X_36,add(X_37,X_37)) != add(multiply(X_37,X_36),multiply(X_37,X_36))
| add(multiply(X_37,X_36),multiply(X_37,X_36)) = multiply(X_36,add(X_37,X_37)) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(multiply(X_36,add(X_37,X_37)))),bind(Y0,$fot(add(multiply(X_37,X_36),multiply(X_37,X_36))))]]) ).
cnf(refute_0_11,plain,
add(multiply(X_37,X_36),multiply(X_37,X_36)) = multiply(X_36,add(X_37,X_37)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,X_37)),add(multiply(X_37,X_36),multiply(X_37,X_36))) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( add(multiply(X_37,X_36),multiply(X_37,X_36)) != multiply(X_36,add(X_37,X_37))
| add(multiply(X_37,X_36),multiply(X_37,X_36)) != multiply(X_37,X_36)
| multiply(X_36,add(X_37,X_37)) = multiply(X_37,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_37,X_36),multiply(X_37,X_36)),multiply(X_37,X_36)) ),[0],$fot(multiply(X_36,add(X_37,X_37)))]]) ).
cnf(refute_0_13,plain,
( add(multiply(X_37,X_36),multiply(X_37,X_36)) != multiply(X_37,X_36)
| multiply(X_36,add(X_37,X_37)) = multiply(X_37,X_36) ),
inference(resolve,[$cnf( $equal(add(multiply(X_37,X_36),multiply(X_37,X_36)),multiply(X_36,add(X_37,X_37))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(X_36,add(X_37,X_37)) = multiply(X_37,X_36),
inference(resolve,[$cnf( $equal(add(multiply(X_37,X_36),multiply(X_37,X_36)),multiply(X_37,X_36)) )],[refute_0_5,refute_0_13]) ).
cnf(refute_0_15,plain,
add(X_37,X_37) = X_37,
inference(subst,[],[refute_0_4:[bind(X_5,$fot(X_37))]]) ).
cnf(refute_0_16,plain,
multiply(X_36,add(X_37,X_37)) = multiply(X_36,add(X_37,X_37)),
introduced(tautology,[refl,[$fot(multiply(X_36,add(X_37,X_37)))]]) ).
cnf(refute_0_17,plain,
( multiply(X_36,add(X_37,X_37)) != multiply(X_36,add(X_37,X_37))
| add(X_37,X_37) != X_37
| multiply(X_36,add(X_37,X_37)) = multiply(X_36,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_37,X_37)),multiply(X_36,add(X_37,X_37))) ),[1,1],$fot(X_37)]]) ).
cnf(refute_0_18,plain,
( add(X_37,X_37) != X_37
| multiply(X_36,add(X_37,X_37)) = multiply(X_36,X_37) ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,X_37)),multiply(X_36,add(X_37,X_37))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(X_36,add(X_37,X_37)) = multiply(X_36,X_37),
inference(resolve,[$cnf( $equal(add(X_37,X_37),X_37) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( multiply(X_36,add(X_37,X_37)) != multiply(X_36,X_37)
| multiply(X_36,add(X_37,X_37)) != multiply(X_37,X_36)
| multiply(X_36,X_37) = multiply(X_37,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_37,X_37)),multiply(X_37,X_36)) ),[0],$fot(multiply(X_36,X_37))]]) ).
cnf(refute_0_21,plain,
( multiply(X_36,add(X_37,X_37)) != multiply(X_37,X_36)
| multiply(X_36,X_37) = multiply(X_37,X_36) ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,X_37)),multiply(X_36,X_37)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(X_36,X_37) = multiply(X_37,X_36),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,X_37)),multiply(X_37,X_36)) )],[refute_0_14,refute_0_21]) ).
cnf(refute_0_23,plain,
( multiply(X_36,X_37) != multiply(X_37,X_36)
| multiply(X_37,X_36) = multiply(X_36,X_37) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(multiply(X_36,X_37))),bind(Y0,$fot(multiply(X_37,X_36)))]]) ).
cnf(refute_0_24,plain,
multiply(X_37,X_36) = multiply(X_36,X_37),
inference(resolve,[$cnf( $equal(multiply(X_36,X_37),multiply(X_37,X_36)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
multiply(multiply(a,b),c) = multiply(c,multiply(a,b)),
inference(subst,[],[refute_0_24:[bind(X_36,$fot(c)),bind(X_37,$fot(multiply(a,b)))]]) ).
cnf(refute_0_26,plain,
( multiply(multiply(a,b),c) != multiply(c,multiply(a,b))
| multiply(c,multiply(a,b)) != multiply(a,multiply(b,c))
| multiply(multiply(a,b),c) = multiply(a,multiply(b,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a,b),c),multiply(a,multiply(b,c))) ),[0],$fot(multiply(c,multiply(a,b)))]]) ).
cnf(refute_0_27,plain,
( multiply(c,multiply(a,b)) != multiply(a,multiply(b,c))
| multiply(multiply(a,b),c) = multiply(a,multiply(b,c)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a,b),c),multiply(c,multiply(a,b))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(c,multiply(a,b)) != multiply(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(multiply(multiply(a,b),c),multiply(a,multiply(b,c))) )],[refute_0_27,prove_associativity_of_multiply]) ).
cnf(refute_0_29,plain,
multiply(multiply(X_14,X_38),add(X_37,X_38)) = add(multiply(X_37,multiply(X_14,X_38)),multiply(X_38,multiply(X_14,X_38))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(multiply(X_14,X_38))),bind(Y,$fot(X_37)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_30,plain,
multiply(add(X,multiply(X_14,X)),multiply(X_14,X)) = multiply(X_14,X),
inference(subst,[],[multiply_add:[bind(Y,$fot(multiply(X_14,X)))]]) ).
cnf(refute_0_31,plain,
add(X_10,multiply(X_11,X_10)) = multiply(add(X_11,X_10),add(X_10,X_10)),
inference(subst,[],[add_multiply_property:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_32,plain,
add(X_10,X_10) = X_10,
inference(subst,[],[refute_0_4:[bind(X_5,$fot(X_10))]]) ).
cnf(refute_0_33,plain,
( add(X_10,X_10) != X_10
| add(X_10,multiply(X_11,X_10)) != multiply(add(X_11,X_10),add(X_10,X_10))
| add(X_10,multiply(X_11,X_10)) = multiply(add(X_11,X_10),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,X_10)),multiply(add(X_11,X_10),add(X_10,X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_34,plain,
( add(X_10,multiply(X_11,X_10)) != multiply(add(X_11,X_10),add(X_10,X_10))
| add(X_10,multiply(X_11,X_10)) = multiply(add(X_11,X_10),X_10) ),
inference(resolve,[$cnf( $equal(add(X_10,X_10),X_10) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
add(X_10,multiply(X_11,X_10)) = multiply(add(X_11,X_10),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_10)),multiply(add(X_11,X_10),add(X_10,X_10))) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(add(X_11,X_10),X_10) = X_10,
inference(subst,[],[multiply_add:[bind(X,$fot(X_11)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_37,plain,
( multiply(add(X_11,X_10),X_10) != X_10
| add(X_10,multiply(X_11,X_10)) != multiply(add(X_11,X_10),X_10)
| add(X_10,multiply(X_11,X_10)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,X_10)),multiply(add(X_11,X_10),X_10)) ),[1],$fot(X_10)]]) ).
cnf(refute_0_38,plain,
( add(X_10,multiply(X_11,X_10)) != multiply(add(X_11,X_10),X_10)
| add(X_10,multiply(X_11,X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_10),X_10),X_10) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
add(X_10,multiply(X_11,X_10)) = X_10,
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_10)),multiply(add(X_11,X_10),X_10)) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
add(X,multiply(X_14,X)) = X,
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X)),bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_41,plain,
( multiply(add(X,multiply(X_14,X)),multiply(X_14,X)) != multiply(X_14,X)
| add(X,multiply(X_14,X)) != X
| multiply(X,multiply(X_14,X)) = multiply(X_14,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,multiply(X_14,X)),multiply(X_14,X)),multiply(X_14,X)) ),[0,0],$fot(X)]]) ).
cnf(refute_0_42,plain,
( multiply(add(X,multiply(X_14,X)),multiply(X_14,X)) != multiply(X_14,X)
| multiply(X,multiply(X_14,X)) = multiply(X_14,X) ),
inference(resolve,[$cnf( $equal(add(X,multiply(X_14,X)),X) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(X,multiply(X_14,X)) = multiply(X_14,X),
inference(resolve,[$cnf( $equal(multiply(add(X,multiply(X_14,X)),multiply(X_14,X)),multiply(X_14,X)) )],[refute_0_30,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(X_38,multiply(X_14,X_38)) = multiply(X_14,X_38),
inference(subst,[],[refute_0_43:[bind(X,$fot(X_38))]]) ).
cnf(refute_0_45,plain,
( multiply(X_38,multiply(X_14,X_38)) != multiply(X_14,X_38)
| multiply(multiply(X_14,X_38),add(X_37,X_38)) != add(multiply(X_37,multiply(X_14,X_38)),multiply(X_38,multiply(X_14,X_38)))
| multiply(multiply(X_14,X_38),add(X_37,X_38)) = add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,X_38),add(X_37,X_38)),add(multiply(X_37,multiply(X_14,X_38)),multiply(X_38,multiply(X_14,X_38)))) ),[1,1],$fot(multiply(X_14,X_38))]]) ).
cnf(refute_0_46,plain,
( multiply(multiply(X_14,X_38),add(X_37,X_38)) != add(multiply(X_37,multiply(X_14,X_38)),multiply(X_38,multiply(X_14,X_38)))
| multiply(multiply(X_14,X_38),add(X_37,X_38)) = add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)) ),
inference(resolve,[$cnf( $equal(multiply(X_38,multiply(X_14,X_38)),multiply(X_14,X_38)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(multiply(X_14,X_38),add(X_37,X_38)) = add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,X_38),add(X_37,X_38)),add(multiply(X_37,multiply(X_14,X_38)),multiply(X_38,multiply(X_14,X_38)))) )],[refute_0_29,refute_0_46]) ).
cnf(refute_0_48,plain,
add(multiply(X_14,X_38),multiply(X_37,multiply(X_14,X_38))) = multiply(X_14,X_38),
inference(subst,[],[refute_0_39:[bind(X_10,$fot(multiply(X_14,X_38))),bind(X_11,$fot(X_37))]]) ).
cnf(refute_0_49,plain,
multiply(add(multiply(X_4,Y),Y),Y) = Y,
inference(subst,[],[multiply_add:[bind(X,$fot(multiply(X_4,Y)))]]) ).
cnf(refute_0_50,plain,
add(multiply(X_4,Y),Y) = Y,
inference(subst,[],[add_multiply:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_51,plain,
( multiply(add(multiply(X_4,Y),Y),Y) != Y
| add(multiply(X_4,Y),Y) != Y
| multiply(Y,Y) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_4,Y),Y),Y),Y) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_52,plain,
( multiply(add(multiply(X_4,Y),Y),Y) != Y
| multiply(Y,Y) = Y ),
inference(resolve,[$cnf( $equal(add(multiply(X_4,Y),Y),Y) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(Y,Y) = Y,
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_4,Y),Y),Y),Y) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(add(X_11,X_10),add(X_11,X_10)) = add(X_11,X_10),
inference(subst,[],[refute_0_53:[bind(Y,$fot(add(X_11,X_10)))]]) ).
cnf(refute_0_55,plain,
add(X_10,multiply(X_11,X_11)) = multiply(add(X_11,X_10),add(X_11,X_10)),
inference(subst,[],[add_multiply_property:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_56,plain,
( add(X_10,multiply(X_11,X_11)) != multiply(add(X_11,X_10),add(X_11,X_10))
| multiply(add(X_11,X_10),add(X_11,X_10)) = add(X_10,multiply(X_11,X_11)) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(add(X_10,multiply(X_11,X_11)))),bind(Y0,$fot(multiply(add(X_11,X_10),add(X_11,X_10))))]]) ).
cnf(refute_0_57,plain,
multiply(add(X_11,X_10),add(X_11,X_10)) = add(X_10,multiply(X_11,X_11)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_11)),multiply(add(X_11,X_10),add(X_11,X_10))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( multiply(add(X_11,X_10),add(X_11,X_10)) != add(X_10,multiply(X_11,X_11))
| multiply(add(X_11,X_10),add(X_11,X_10)) != add(X_11,X_10)
| add(X_10,multiply(X_11,X_11)) = add(X_11,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_11,X_10),add(X_11,X_10)),add(X_11,X_10)) ),[0],$fot(add(X_10,multiply(X_11,X_11)))]]) ).
cnf(refute_0_59,plain,
( multiply(add(X_11,X_10),add(X_11,X_10)) != add(X_11,X_10)
| add(X_10,multiply(X_11,X_11)) = add(X_11,X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_10),add(X_11,X_10)),add(X_10,multiply(X_11,X_11))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
add(X_10,multiply(X_11,X_11)) = add(X_11,X_10),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_10),add(X_11,X_10)),add(X_11,X_10)) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(X_11,X_11) = X_11,
inference(subst,[],[refute_0_53:[bind(Y,$fot(X_11))]]) ).
cnf(refute_0_62,plain,
add(X_10,multiply(X_11,X_11)) = add(X_10,multiply(X_11,X_11)),
introduced(tautology,[refl,[$fot(add(X_10,multiply(X_11,X_11)))]]) ).
cnf(refute_0_63,plain,
( multiply(X_11,X_11) != X_11
| add(X_10,multiply(X_11,X_11)) != add(X_10,multiply(X_11,X_11))
| add(X_10,multiply(X_11,X_11)) = add(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,X_11)),add(X_10,multiply(X_11,X_11))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_64,plain,
( multiply(X_11,X_11) != X_11
| add(X_10,multiply(X_11,X_11)) = add(X_10,X_11) ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_11)),add(X_10,multiply(X_11,X_11))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
add(X_10,multiply(X_11,X_11)) = add(X_10,X_11),
inference(resolve,[$cnf( $equal(multiply(X_11,X_11),X_11) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
( add(X_10,multiply(X_11,X_11)) != add(X_10,X_11)
| add(X_10,multiply(X_11,X_11)) != add(X_11,X_10)
| add(X_10,X_11) = add(X_11,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,X_11)),add(X_11,X_10)) ),[0],$fot(add(X_10,X_11))]]) ).
cnf(refute_0_67,plain,
( add(X_10,multiply(X_11,X_11)) != add(X_11,X_10)
| add(X_10,X_11) = add(X_11,X_10) ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_11)),add(X_10,X_11)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
add(X_10,X_11) = add(X_11,X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_11)),add(X_11,X_10)) )],[refute_0_60,refute_0_67]) ).
cnf(refute_0_69,plain,
( add(X_10,X_11) != add(X_11,X_10)
| add(X_11,X_10) = add(X_10,X_11) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(add(X_10,X_11))),bind(Y0,$fot(add(X_11,X_10)))]]) ).
cnf(refute_0_70,plain,
add(X_11,X_10) = add(X_10,X_11),
inference(resolve,[$cnf( $equal(add(X_10,X_11),add(X_11,X_10)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)) = add(multiply(X_14,X_38),multiply(X_37,multiply(X_14,X_38))),
inference(subst,[],[refute_0_70:[bind(X_10,$fot(multiply(X_14,X_38))),bind(X_11,$fot(multiply(X_37,multiply(X_14,X_38))))]]) ).
cnf(refute_0_72,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_73,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_9,refute_0_72]) ).
cnf(refute_0_74,plain,
( add(multiply(X_14,X_38),multiply(X_37,multiply(X_14,X_38))) != multiply(X_14,X_38)
| add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)) != add(multiply(X_14,X_38),multiply(X_37,multiply(X_14,X_38)))
| add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)) = multiply(X_14,X_38) ),
inference(subst,[],[refute_0_73:[bind(X0,$fot(add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)))),bind(Y0,$fot(add(multiply(X_14,X_38),multiply(X_37,multiply(X_14,X_38))))),bind(Z0,$fot(multiply(X_14,X_38)))]]) ).
cnf(refute_0_75,plain,
( add(multiply(X_14,X_38),multiply(X_37,multiply(X_14,X_38))) != multiply(X_14,X_38)
| add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)) = multiply(X_14,X_38) ),
inference(resolve,[$cnf( $equal(add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)),add(multiply(X_14,X_38),multiply(X_37,multiply(X_14,X_38)))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)) = multiply(X_14,X_38),
inference(resolve,[$cnf( $equal(add(multiply(X_14,X_38),multiply(X_37,multiply(X_14,X_38))),multiply(X_14,X_38)) )],[refute_0_48,refute_0_75]) ).
cnf(refute_0_77,plain,
( multiply(multiply(X_14,X_38),add(X_37,X_38)) != add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38))
| add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)) != multiply(X_14,X_38)
| multiply(multiply(X_14,X_38),add(X_37,X_38)) = multiply(X_14,X_38) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_14,X_38),add(X_37,X_38)),multiply(X_14,X_38)) ),[0],$fot(add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)))]]) ).
cnf(refute_0_78,plain,
( multiply(multiply(X_14,X_38),add(X_37,X_38)) != add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38))
| multiply(multiply(X_14,X_38),add(X_37,X_38)) = multiply(X_14,X_38) ),
inference(resolve,[$cnf( $equal(add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38)),multiply(X_14,X_38)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(multiply(X_14,X_38),add(X_37,X_38)) = multiply(X_14,X_38),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,X_38),add(X_37,X_38)),add(multiply(X_37,multiply(X_14,X_38)),multiply(X_14,X_38))) )],[refute_0_47,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(multiply(X_146,multiply(X_147,X_12)),add(X_147,multiply(X_147,X_12))) = multiply(X_146,multiply(X_147,X_12)),
inference(subst,[],[refute_0_79:[bind(X_14,$fot(X_146)),bind(X_37,$fot(X_147)),bind(X_38,$fot(multiply(X_147,X_12)))]]) ).
cnf(refute_0_81,plain,
add(X_10,multiply(X_10,X_12)) = multiply(add(X_10,X_10),add(X_12,X_10)),
inference(subst,[],[add_multiply_property:[bind(X,$fot(X_10)),bind(Y,$fot(X_10)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_82,plain,
( add(X_10,X_10) != X_10
| add(X_10,multiply(X_10,X_12)) != multiply(add(X_10,X_10),add(X_12,X_10))
| add(X_10,multiply(X_10,X_12)) = multiply(X_10,add(X_12,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_10,X_12)),multiply(add(X_10,X_10),add(X_12,X_10))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_83,plain,
( add(X_10,multiply(X_10,X_12)) != multiply(add(X_10,X_10),add(X_12,X_10))
| add(X_10,multiply(X_10,X_12)) = multiply(X_10,add(X_12,X_10)) ),
inference(resolve,[$cnf( $equal(add(X_10,X_10),X_10) )],[refute_0_32,refute_0_82]) ).
cnf(refute_0_84,plain,
add(X_10,multiply(X_10,X_12)) = multiply(X_10,add(X_12,X_10)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_10,X_12)),multiply(add(X_10,X_10),add(X_12,X_10))) )],[refute_0_81,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(X_36,add(X_37,X_36)) = add(multiply(X_37,X_36),multiply(X_36,X_36)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(X_36))]]) ).
cnf(refute_0_86,plain,
multiply(X_36,X_36) = X_36,
inference(subst,[],[refute_0_53:[bind(Y,$fot(X_36))]]) ).
cnf(refute_0_87,plain,
( multiply(X_36,X_36) != X_36
| multiply(X_36,add(X_37,X_36)) != add(multiply(X_37,X_36),multiply(X_36,X_36))
| multiply(X_36,add(X_37,X_36)) = add(multiply(X_37,X_36),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_37,X_36)),add(multiply(X_37,X_36),multiply(X_36,X_36))) ),[1,1],$fot(X_36)]]) ).
cnf(refute_0_88,plain,
( multiply(X_36,add(X_37,X_36)) != add(multiply(X_37,X_36),multiply(X_36,X_36))
| multiply(X_36,add(X_37,X_36)) = add(multiply(X_37,X_36),X_36) ),
inference(resolve,[$cnf( $equal(multiply(X_36,X_36),X_36) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(X_36,add(X_37,X_36)) = add(multiply(X_37,X_36),X_36),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,X_36)),add(multiply(X_37,X_36),multiply(X_36,X_36))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
add(X_36,multiply(X_37,X_36)) = X_36,
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X_36)),bind(X_11,$fot(X_37))]]) ).
cnf(refute_0_91,plain,
add(multiply(X_37,X_36),X_36) = add(X_36,multiply(X_37,X_36)),
inference(subst,[],[refute_0_70:[bind(X_10,$fot(X_36)),bind(X_11,$fot(multiply(X_37,X_36)))]]) ).
cnf(refute_0_92,plain,
( add(X_36,multiply(X_37,X_36)) != X_36
| add(multiply(X_37,X_36),X_36) != add(X_36,multiply(X_37,X_36))
| add(multiply(X_37,X_36),X_36) = X_36 ),
inference(subst,[],[refute_0_73:[bind(X0,$fot(add(multiply(X_37,X_36),X_36))),bind(Y0,$fot(add(X_36,multiply(X_37,X_36)))),bind(Z0,$fot(X_36))]]) ).
cnf(refute_0_93,plain,
( add(X_36,multiply(X_37,X_36)) != X_36
| add(multiply(X_37,X_36),X_36) = X_36 ),
inference(resolve,[$cnf( $equal(add(multiply(X_37,X_36),X_36),add(X_36,multiply(X_37,X_36))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
add(multiply(X_37,X_36),X_36) = X_36,
inference(resolve,[$cnf( $equal(add(X_36,multiply(X_37,X_36)),X_36) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
( multiply(X_36,add(X_37,X_36)) != add(multiply(X_37,X_36),X_36)
| add(multiply(X_37,X_36),X_36) != X_36
| multiply(X_36,add(X_37,X_36)) = X_36 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,add(X_37,X_36)),X_36) ),[0],$fot(add(multiply(X_37,X_36),X_36))]]) ).
cnf(refute_0_96,plain,
( multiply(X_36,add(X_37,X_36)) != add(multiply(X_37,X_36),X_36)
| multiply(X_36,add(X_37,X_36)) = X_36 ),
inference(resolve,[$cnf( $equal(add(multiply(X_37,X_36),X_36),X_36) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(X_36,add(X_37,X_36)) = X_36,
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,X_36)),add(multiply(X_37,X_36),X_36)) )],[refute_0_89,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(X_10,add(X_12,X_10)) = X_10,
inference(subst,[],[refute_0_97:[bind(X_36,$fot(X_10)),bind(X_37,$fot(X_12))]]) ).
cnf(refute_0_99,plain,
( multiply(X_10,add(X_12,X_10)) != X_10
| add(X_10,multiply(X_10,X_12)) != multiply(X_10,add(X_12,X_10))
| add(X_10,multiply(X_10,X_12)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_10,X_12)),multiply(X_10,add(X_12,X_10))) ),[1],$fot(X_10)]]) ).
cnf(refute_0_100,plain,
( add(X_10,multiply(X_10,X_12)) != multiply(X_10,add(X_12,X_10))
| add(X_10,multiply(X_10,X_12)) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(X_10,add(X_12,X_10)),X_10) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
add(X_10,multiply(X_10,X_12)) = X_10,
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_10,X_12)),multiply(X_10,add(X_12,X_10))) )],[refute_0_84,refute_0_100]) ).
cnf(refute_0_102,plain,
add(X_147,multiply(X_147,X_12)) = X_147,
inference(subst,[],[refute_0_101:[bind(X_10,$fot(X_147))]]) ).
cnf(refute_0_103,plain,
( multiply(multiply(X_146,multiply(X_147,X_12)),add(X_147,multiply(X_147,X_12))) != multiply(X_146,multiply(X_147,X_12))
| add(X_147,multiply(X_147,X_12)) != X_147
| multiply(multiply(X_146,multiply(X_147,X_12)),X_147) = multiply(X_146,multiply(X_147,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_146,multiply(X_147,X_12)),add(X_147,multiply(X_147,X_12))),multiply(X_146,multiply(X_147,X_12))) ),[0,1],$fot(X_147)]]) ).
cnf(refute_0_104,plain,
( multiply(multiply(X_146,multiply(X_147,X_12)),add(X_147,multiply(X_147,X_12))) != multiply(X_146,multiply(X_147,X_12))
| multiply(multiply(X_146,multiply(X_147,X_12)),X_147) = multiply(X_146,multiply(X_147,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_147,multiply(X_147,X_12)),X_147) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(multiply(X_146,multiply(X_147,X_12)),X_147) = multiply(X_146,multiply(X_147,X_12)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_146,multiply(X_147,X_12)),add(X_147,multiply(X_147,X_12))),multiply(X_146,multiply(X_147,X_12))) )],[refute_0_80,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) = add(multiply(Y,X),multiply(multiply(X_89,multiply(Y,X)),X)),
inference(subst,[],[multiply_add_property:[bind(Z,$fot(multiply(X_89,multiply(Y,X))))]]) ).
cnf(refute_0_107,plain,
add(X_10,multiply(multiply(X,X_10),X_12)) = multiply(add(multiply(X,X_10),X_10),add(X_12,X_10)),
inference(subst,[],[add_multiply_property:[bind(X,$fot(X_10)),bind(Y,$fot(multiply(X,X_10))),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_108,plain,
add(multiply(X,X_10),X_10) = X_10,
inference(subst,[],[add_multiply:[bind(Y,$fot(X_10))]]) ).
cnf(refute_0_109,plain,
( add(X_10,multiply(multiply(X,X_10),X_12)) != multiply(add(multiply(X,X_10),X_10),add(X_12,X_10))
| add(multiply(X,X_10),X_10) != X_10
| add(X_10,multiply(multiply(X,X_10),X_12)) = multiply(X_10,add(X_12,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(multiply(X,X_10),X_12)),multiply(add(multiply(X,X_10),X_10),add(X_12,X_10))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_110,plain,
( add(X_10,multiply(multiply(X,X_10),X_12)) != multiply(add(multiply(X,X_10),X_10),add(X_12,X_10))
| add(X_10,multiply(multiply(X,X_10),X_12)) = multiply(X_10,add(X_12,X_10)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,X_10),X_10),X_10) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
add(X_10,multiply(multiply(X,X_10),X_12)) = multiply(X_10,add(X_12,X_10)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(multiply(X,X_10),X_12)),multiply(add(multiply(X,X_10),X_10),add(X_12,X_10))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( multiply(X_10,add(X_12,X_10)) != X_10
| add(X_10,multiply(multiply(X,X_10),X_12)) != multiply(X_10,add(X_12,X_10))
| add(X_10,multiply(multiply(X,X_10),X_12)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(multiply(X,X_10),X_12)),multiply(X_10,add(X_12,X_10))) ),[1],$fot(X_10)]]) ).
cnf(refute_0_113,plain,
( add(X_10,multiply(multiply(X,X_10),X_12)) != multiply(X_10,add(X_12,X_10))
| add(X_10,multiply(multiply(X,X_10),X_12)) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(X_10,add(X_12,X_10)),X_10) )],[refute_0_98,refute_0_112]) ).
cnf(refute_0_114,plain,
add(X_10,multiply(multiply(X,X_10),X_12)) = X_10,
inference(resolve,[$cnf( $equal(add(X_10,multiply(multiply(X,X_10),X_12)),multiply(X_10,add(X_12,X_10))) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
add(multiply(Y,X),multiply(multiply(X_89,multiply(Y,X)),X)) = multiply(Y,X),
inference(subst,[],[refute_0_114:[bind(X,$fot(X_89)),bind(X_10,$fot(multiply(Y,X))),bind(X_12,$fot(X))]]) ).
cnf(refute_0_116,plain,
( multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) != add(multiply(Y,X),multiply(multiply(X_89,multiply(Y,X)),X))
| add(multiply(Y,X),multiply(multiply(X_89,multiply(Y,X)),X)) != multiply(Y,X)
| multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(Y,multiply(X_89,multiply(Y,X)))),multiply(Y,X)) ),[0],$fot(add(multiply(Y,X),multiply(multiply(X_89,multiply(Y,X)),X)))]]) ).
cnf(refute_0_117,plain,
( multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) != add(multiply(Y,X),multiply(multiply(X_89,multiply(Y,X)),X))
| multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),multiply(multiply(X_89,multiply(Y,X)),X)),multiply(Y,X)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(X_89,multiply(Y,X)))),add(multiply(Y,X),multiply(multiply(X_89,multiply(Y,X)),X))) )],[refute_0_106,refute_0_117]) ).
cnf(refute_0_119,plain,
add(X_90,multiply(multiply(X_89,X_90),X_91)) = X_90,
inference(subst,[],[refute_0_114:[bind(X,$fot(X_89)),bind(X_10,$fot(X_90)),bind(X_12,$fot(X_91))]]) ).
cnf(refute_0_120,plain,
multiply(X_90,X_89) = multiply(X_89,X_90),
inference(subst,[],[refute_0_22:[bind(X_36,$fot(X_90)),bind(X_37,$fot(X_89))]]) ).
cnf(refute_0_121,plain,
( multiply(X_90,X_89) != multiply(X_89,X_90)
| multiply(X_89,X_90) = multiply(X_90,X_89) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(multiply(X_90,X_89))),bind(Y0,$fot(multiply(X_89,X_90)))]]) ).
cnf(refute_0_122,plain,
multiply(X_89,X_90) = multiply(X_90,X_89),
inference(resolve,[$cnf( $equal(multiply(X_90,X_89),multiply(X_89,X_90)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( multiply(X_89,X_90) != multiply(X_90,X_89)
| add(X_90,multiply(multiply(X_89,X_90),X_91)) != X_90
| add(X_90,multiply(multiply(X_90,X_89),X_91)) = X_90 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_90,multiply(multiply(X_89,X_90),X_91)),X_90) ),[0,1,0],$fot(multiply(X_90,X_89))]]) ).
cnf(refute_0_124,plain,
( add(X_90,multiply(multiply(X_89,X_90),X_91)) != X_90
| add(X_90,multiply(multiply(X_90,X_89),X_91)) = X_90 ),
inference(resolve,[$cnf( $equal(multiply(X_89,X_90),multiply(X_90,X_89)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
add(X_90,multiply(multiply(X_90,X_89),X_91)) = X_90,
inference(resolve,[$cnf( $equal(add(X_90,multiply(multiply(X_89,X_90),X_91)),X_90) )],[refute_0_119,refute_0_124]) ).
cnf(refute_0_126,plain,
add(X_93,multiply(multiply(X_93,X_92),multiply(X_14,multiply(X_93,X_92)))) = X_93,
inference(subst,[],[refute_0_125:[bind(X_89,$fot(X_92)),bind(X_90,$fot(X_93)),bind(X_91,$fot(multiply(X_14,multiply(X_93,X_92))))]]) ).
cnf(refute_0_127,plain,
multiply(multiply(X_93,X_92),multiply(X_14,multiply(X_93,X_92))) = multiply(X_14,multiply(X_93,X_92)),
inference(subst,[],[refute_0_43:[bind(X,$fot(multiply(X_93,X_92)))]]) ).
cnf(refute_0_128,plain,
( multiply(multiply(X_93,X_92),multiply(X_14,multiply(X_93,X_92))) != multiply(X_14,multiply(X_93,X_92))
| add(X_93,multiply(multiply(X_93,X_92),multiply(X_14,multiply(X_93,X_92)))) != X_93
| add(X_93,multiply(X_14,multiply(X_93,X_92))) = X_93 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_93,multiply(multiply(X_93,X_92),multiply(X_14,multiply(X_93,X_92)))),X_93) ),[0,1],$fot(multiply(X_14,multiply(X_93,X_92)))]]) ).
cnf(refute_0_129,plain,
( add(X_93,multiply(multiply(X_93,X_92),multiply(X_14,multiply(X_93,X_92)))) != X_93
| add(X_93,multiply(X_14,multiply(X_93,X_92))) = X_93 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_92),multiply(X_14,multiply(X_93,X_92))),multiply(X_14,multiply(X_93,X_92))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
add(X_93,multiply(X_14,multiply(X_93,X_92))) = X_93,
inference(resolve,[$cnf( $equal(add(X_93,multiply(multiply(X_93,X_92),multiply(X_14,multiply(X_93,X_92)))),X_93) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
add(Y,multiply(X_89,multiply(Y,X))) = Y,
inference(subst,[],[refute_0_130:[bind(X_14,$fot(X_89)),bind(X_92,$fot(X)),bind(X_93,$fot(Y))]]) ).
cnf(refute_0_132,plain,
multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) = multiply(X,add(Y,multiply(X_89,multiply(Y,X)))),
introduced(tautology,[refl,[$fot(multiply(X,add(Y,multiply(X_89,multiply(Y,X)))))]]) ).
cnf(refute_0_133,plain,
( multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) != multiply(X,add(Y,multiply(X_89,multiply(Y,X))))
| add(Y,multiply(X_89,multiply(Y,X))) != Y
| multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) = multiply(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,multiply(X_89,multiply(Y,X)))),multiply(X,add(Y,multiply(X_89,multiply(Y,X))))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_134,plain,
( add(Y,multiply(X_89,multiply(Y,X))) != Y
| multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) = multiply(X,Y) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(X_89,multiply(Y,X)))),multiply(X,add(Y,multiply(X_89,multiply(Y,X))))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) = multiply(X,Y),
inference(resolve,[$cnf( $equal(add(Y,multiply(X_89,multiply(Y,X))),Y) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
( multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) != multiply(X,Y)
| multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,multiply(X_89,multiply(Y,X)))),multiply(Y,X)) ),[0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_137,plain,
( multiply(X,add(Y,multiply(X_89,multiply(Y,X)))) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(X_89,multiply(Y,X)))),multiply(X,Y)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(X,Y) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(X_89,multiply(Y,X)))),multiply(Y,X)) )],[refute_0_118,refute_0_137]) ).
cnf(refute_0_139,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_140,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(multiply(X_146,multiply(X_147,X_12)),X_147) = multiply(X_147,multiply(X_146,multiply(X_147,X_12))),
inference(subst,[],[refute_0_140:[bind(X,$fot(X_147)),bind(Y,$fot(multiply(X_146,multiply(X_147,X_12))))]]) ).
cnf(refute_0_142,plain,
( multiply(multiply(X_146,multiply(X_147,X_12)),X_147) != multiply(X_146,multiply(X_147,X_12))
| multiply(multiply(X_146,multiply(X_147,X_12)),X_147) != multiply(X_147,multiply(X_146,multiply(X_147,X_12)))
| multiply(X_147,multiply(X_146,multiply(X_147,X_12))) = multiply(X_146,multiply(X_147,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_146,multiply(X_147,X_12)),X_147),multiply(X_146,multiply(X_147,X_12))) ),[0],$fot(multiply(X_147,multiply(X_146,multiply(X_147,X_12))))]]) ).
cnf(refute_0_143,plain,
( multiply(multiply(X_146,multiply(X_147,X_12)),X_147) != multiply(X_146,multiply(X_147,X_12))
| multiply(X_147,multiply(X_146,multiply(X_147,X_12))) = multiply(X_146,multiply(X_147,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_146,multiply(X_147,X_12)),X_147),multiply(X_147,multiply(X_146,multiply(X_147,X_12)))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(X_147,multiply(X_146,multiply(X_147,X_12))) = multiply(X_146,multiply(X_147,X_12)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_146,multiply(X_147,X_12)),X_147),multiply(X_146,multiply(X_147,X_12))) )],[refute_0_105,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(X_420,multiply(X_419,multiply(X_420,X_418))) = multiply(X_419,multiply(X_420,X_418)),
inference(subst,[],[refute_0_144:[bind(X_12,$fot(X_418)),bind(X_146,$fot(X_419)),bind(X_147,$fot(X_420))]]) ).
cnf(refute_0_146,plain,
multiply(X_418,X_420) = multiply(X_420,X_418),
inference(subst,[],[refute_0_22:[bind(X_36,$fot(X_418)),bind(X_37,$fot(X_420))]]) ).
cnf(refute_0_147,plain,
( multiply(X_418,X_420) != multiply(X_420,X_418)
| multiply(X_420,X_418) = multiply(X_418,X_420) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(multiply(X_418,X_420))),bind(Y0,$fot(multiply(X_420,X_418)))]]) ).
cnf(refute_0_148,plain,
multiply(X_420,X_418) = multiply(X_418,X_420),
inference(resolve,[$cnf( $equal(multiply(X_418,X_420),multiply(X_420,X_418)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( multiply(X_420,X_418) != multiply(X_418,X_420)
| multiply(X_420,multiply(X_419,multiply(X_420,X_418))) != multiply(X_419,multiply(X_420,X_418))
| multiply(X_420,multiply(X_419,multiply(X_418,X_420))) = multiply(X_419,multiply(X_420,X_418)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_420,multiply(X_419,multiply(X_420,X_418))),multiply(X_419,multiply(X_420,X_418))) ),[0,1,1],$fot(multiply(X_418,X_420))]]) ).
cnf(refute_0_150,plain,
( multiply(X_420,multiply(X_419,multiply(X_420,X_418))) != multiply(X_419,multiply(X_420,X_418))
| multiply(X_420,multiply(X_419,multiply(X_418,X_420))) = multiply(X_419,multiply(X_420,X_418)) ),
inference(resolve,[$cnf( $equal(multiply(X_420,X_418),multiply(X_418,X_420)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(X_420,multiply(X_419,multiply(X_418,X_420))) = multiply(X_419,multiply(X_420,X_418)),
inference(resolve,[$cnf( $equal(multiply(X_420,multiply(X_419,multiply(X_420,X_418))),multiply(X_419,multiply(X_420,X_418))) )],[refute_0_145,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(multiply(X_126,multiply(X_124,X_37)),add(X_37,multiply(X_126,multiply(X_124,X_37)))) = multiply(X_126,multiply(X_124,X_37)),
inference(subst,[],[refute_0_97:[bind(X_36,$fot(multiply(X_126,multiply(X_124,X_37))))]]) ).
cnf(refute_0_153,plain,
add(X_10,multiply(X_11,multiply(X,X_10))) = multiply(add(X_11,X_10),add(multiply(X,X_10),X_10)),
inference(subst,[],[add_multiply_property:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(multiply(X,X_10)))]]) ).
cnf(refute_0_154,plain,
( add(X_10,multiply(X_11,multiply(X,X_10))) != multiply(add(X_11,X_10),add(multiply(X,X_10),X_10))
| add(multiply(X,X_10),X_10) != X_10
| add(X_10,multiply(X_11,multiply(X,X_10))) = multiply(add(X_11,X_10),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,multiply(X,X_10))),multiply(add(X_11,X_10),add(multiply(X,X_10),X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_155,plain,
( add(X_10,multiply(X_11,multiply(X,X_10))) != multiply(add(X_11,X_10),add(multiply(X,X_10),X_10))
| add(X_10,multiply(X_11,multiply(X,X_10))) = multiply(add(X_11,X_10),X_10) ),
inference(resolve,[$cnf( $equal(add(multiply(X,X_10),X_10),X_10) )],[refute_0_108,refute_0_154]) ).
cnf(refute_0_156,plain,
add(X_10,multiply(X_11,multiply(X,X_10))) = multiply(add(X_11,X_10),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,multiply(X,X_10))),multiply(add(X_11,X_10),add(multiply(X,X_10),X_10))) )],[refute_0_153,refute_0_155]) ).
cnf(refute_0_157,plain,
( multiply(add(X_11,X_10),X_10) != X_10
| add(X_10,multiply(X_11,multiply(X,X_10))) != multiply(add(X_11,X_10),X_10)
| add(X_10,multiply(X_11,multiply(X,X_10))) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,multiply(X,X_10))),multiply(add(X_11,X_10),X_10)) ),[1],$fot(X_10)]]) ).
cnf(refute_0_158,plain,
( add(X_10,multiply(X_11,multiply(X,X_10))) != multiply(add(X_11,X_10),X_10)
| add(X_10,multiply(X_11,multiply(X,X_10))) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_10),X_10),X_10) )],[refute_0_36,refute_0_157]) ).
cnf(refute_0_159,plain,
add(X_10,multiply(X_11,multiply(X,X_10))) = X_10,
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,multiply(X,X_10))),multiply(add(X_11,X_10),X_10)) )],[refute_0_156,refute_0_158]) ).
cnf(refute_0_160,plain,
add(X_37,multiply(X_126,multiply(X_124,X_37))) = X_37,
inference(subst,[],[refute_0_159:[bind(X,$fot(X_124)),bind(X_10,$fot(X_37)),bind(X_11,$fot(X_126))]]) ).
cnf(refute_0_161,plain,
( multiply(multiply(X_126,multiply(X_124,X_37)),add(X_37,multiply(X_126,multiply(X_124,X_37)))) != multiply(X_126,multiply(X_124,X_37))
| add(X_37,multiply(X_126,multiply(X_124,X_37))) != X_37
| multiply(multiply(X_126,multiply(X_124,X_37)),X_37) = multiply(X_126,multiply(X_124,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_126,multiply(X_124,X_37)),add(X_37,multiply(X_126,multiply(X_124,X_37)))),multiply(X_126,multiply(X_124,X_37))) ),[0,1],$fot(X_37)]]) ).
cnf(refute_0_162,plain,
( multiply(multiply(X_126,multiply(X_124,X_37)),add(X_37,multiply(X_126,multiply(X_124,X_37)))) != multiply(X_126,multiply(X_124,X_37))
| multiply(multiply(X_126,multiply(X_124,X_37)),X_37) = multiply(X_126,multiply(X_124,X_37)) ),
inference(resolve,[$cnf( $equal(add(X_37,multiply(X_126,multiply(X_124,X_37))),X_37) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(multiply(X_126,multiply(X_124,X_37)),X_37) = multiply(X_126,multiply(X_124,X_37)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_126,multiply(X_124,X_37)),add(X_37,multiply(X_126,multiply(X_124,X_37)))),multiply(X_126,multiply(X_124,X_37))) )],[refute_0_152,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(multiply(X_126,multiply(X_124,X_37)),X_37) = multiply(X_37,multiply(X_126,multiply(X_124,X_37))),
inference(subst,[],[refute_0_140:[bind(X,$fot(X_37)),bind(Y,$fot(multiply(X_126,multiply(X_124,X_37))))]]) ).
cnf(refute_0_165,plain,
( multiply(multiply(X_126,multiply(X_124,X_37)),X_37) != multiply(X_126,multiply(X_124,X_37))
| multiply(multiply(X_126,multiply(X_124,X_37)),X_37) != multiply(X_37,multiply(X_126,multiply(X_124,X_37)))
| multiply(X_37,multiply(X_126,multiply(X_124,X_37))) = multiply(X_126,multiply(X_124,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_126,multiply(X_124,X_37)),X_37),multiply(X_126,multiply(X_124,X_37))) ),[0],$fot(multiply(X_37,multiply(X_126,multiply(X_124,X_37))))]]) ).
cnf(refute_0_166,plain,
( multiply(multiply(X_126,multiply(X_124,X_37)),X_37) != multiply(X_126,multiply(X_124,X_37))
| multiply(X_37,multiply(X_126,multiply(X_124,X_37))) = multiply(X_126,multiply(X_124,X_37)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_126,multiply(X_124,X_37)),X_37),multiply(X_37,multiply(X_126,multiply(X_124,X_37)))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(X_37,multiply(X_126,multiply(X_124,X_37))) = multiply(X_126,multiply(X_124,X_37)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_126,multiply(X_124,X_37)),X_37),multiply(X_126,multiply(X_124,X_37))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(X_420,multiply(X_419,multiply(X_418,X_420))) = multiply(X_419,multiply(X_418,X_420)),
inference(subst,[],[refute_0_167:[bind(X_124,$fot(X_418)),bind(X_126,$fot(X_419)),bind(X_37,$fot(X_420))]]) ).
cnf(refute_0_169,plain,
( multiply(X_420,multiply(X_419,multiply(X_418,X_420))) != multiply(X_419,multiply(X_418,X_420))
| multiply(X_420,multiply(X_419,multiply(X_418,X_420))) != multiply(X_419,multiply(X_420,X_418))
| multiply(X_419,multiply(X_418,X_420)) = multiply(X_419,multiply(X_420,X_418)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_420,multiply(X_419,multiply(X_418,X_420))),multiply(X_419,multiply(X_420,X_418))) ),[0],$fot(multiply(X_419,multiply(X_418,X_420)))]]) ).
cnf(refute_0_170,plain,
( multiply(X_420,multiply(X_419,multiply(X_418,X_420))) != multiply(X_419,multiply(X_420,X_418))
| multiply(X_419,multiply(X_418,X_420)) = multiply(X_419,multiply(X_420,X_418)) ),
inference(resolve,[$cnf( $equal(multiply(X_420,multiply(X_419,multiply(X_418,X_420))),multiply(X_419,multiply(X_418,X_420))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(X_419,multiply(X_418,X_420)) = multiply(X_419,multiply(X_420,X_418)),
inference(resolve,[$cnf( $equal(multiply(X_420,multiply(X_419,multiply(X_418,X_420))),multiply(X_419,multiply(X_420,X_418))) )],[refute_0_151,refute_0_170]) ).
cnf(refute_0_172,plain,
( multiply(X_419,multiply(X_418,X_420)) != multiply(X_419,multiply(X_420,X_418))
| multiply(X_419,multiply(X_420,X_418)) = multiply(X_419,multiply(X_418,X_420)) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(multiply(X_419,multiply(X_418,X_420)))),bind(Y0,$fot(multiply(X_419,multiply(X_420,X_418))))]]) ).
cnf(refute_0_173,plain,
multiply(X_419,multiply(X_420,X_418)) = multiply(X_419,multiply(X_418,X_420)),
inference(resolve,[$cnf( $equal(multiply(X_419,multiply(X_418,X_420)),multiply(X_419,multiply(X_420,X_418))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(a,multiply(c,b)) = multiply(a,multiply(b,c)),
inference(subst,[],[refute_0_173:[bind(X_418,$fot(b)),bind(X_419,$fot(a)),bind(X_420,$fot(c))]]) ).
cnf(refute_0_175,plain,
multiply(inverse(X_37),add(X_37,X_38)) = add(multiply(X_37,inverse(X_37)),multiply(X_38,inverse(X_37))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X_37))),bind(Y,$fot(X_37)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_176,plain,
multiply(X_37,inverse(X_37)) = n0,
inference(subst,[],[multiplicative_inverse:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_177,plain,
( multiply(X_37,inverse(X_37)) != n0
| multiply(inverse(X_37),add(X_37,X_38)) != add(multiply(X_37,inverse(X_37)),multiply(X_38,inverse(X_37)))
| multiply(inverse(X_37),add(X_37,X_38)) = add(n0,multiply(X_38,inverse(X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_37),add(X_37,X_38)),add(multiply(X_37,inverse(X_37)),multiply(X_38,inverse(X_37)))) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_178,plain,
( multiply(inverse(X_37),add(X_37,X_38)) != add(multiply(X_37,inverse(X_37)),multiply(X_38,inverse(X_37)))
| multiply(inverse(X_37),add(X_37,X_38)) = add(n0,multiply(X_38,inverse(X_37))) ),
inference(resolve,[$cnf( $equal(multiply(X_37,inverse(X_37)),n0) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
multiply(inverse(X_37),add(X_37,X_38)) = add(n0,multiply(X_38,inverse(X_37))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),add(X_37,X_38)),add(multiply(X_37,inverse(X_37)),multiply(X_38,inverse(X_37)))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(inverse(X_44),add(n0,Z)) = add(multiply(n0,inverse(X_44)),multiply(Z,inverse(X_44))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X_44))),bind(Y,$fot(n0))]]) ).
cnf(refute_0_181,plain,
multiply(inverse(X_18),multiply(X_18,inverse(X_18))) = multiply(X_18,inverse(X_18)),
inference(subst,[],[refute_0_43:[bind(X,$fot(inverse(X_18))),bind(X_14,$fot(X_18))]]) ).
cnf(refute_0_182,plain,
multiply(X_18,inverse(X_18)) = n0,
inference(subst,[],[multiplicative_inverse:[bind(X,$fot(X_18))]]) ).
cnf(refute_0_183,plain,
( multiply(X_18,inverse(X_18)) != n0
| multiply(inverse(X_18),multiply(X_18,inverse(X_18))) != multiply(X_18,inverse(X_18))
| multiply(inverse(X_18),n0) = multiply(X_18,inverse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_18),multiply(X_18,inverse(X_18))),multiply(X_18,inverse(X_18))) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_184,plain,
( multiply(inverse(X_18),multiply(X_18,inverse(X_18))) != multiply(X_18,inverse(X_18))
| multiply(inverse(X_18),n0) = multiply(X_18,inverse(X_18)) ),
inference(resolve,[$cnf( $equal(multiply(X_18,inverse(X_18)),n0) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(X_18),n0) = multiply(X_18,inverse(X_18)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),multiply(X_18,inverse(X_18))),multiply(X_18,inverse(X_18))) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
( multiply(X_18,inverse(X_18)) != n0
| multiply(inverse(X_18),n0) != multiply(X_18,inverse(X_18))
| multiply(inverse(X_18),n0) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_18),n0),multiply(X_18,inverse(X_18))) ),[1],$fot(n0)]]) ).
cnf(refute_0_187,plain,
( multiply(inverse(X_18),n0) != multiply(X_18,inverse(X_18))
| multiply(inverse(X_18),n0) = n0 ),
inference(resolve,[$cnf( $equal(multiply(X_18,inverse(X_18)),n0) )],[refute_0_182,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(inverse(X_18),n0) = n0,
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),n0),multiply(X_18,inverse(X_18))) )],[refute_0_185,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(inverse(X_18),n0) = multiply(n0,inverse(X_18)),
inference(subst,[],[refute_0_24:[bind(X_36,$fot(n0)),bind(X_37,$fot(inverse(X_18)))]]) ).
cnf(refute_0_190,plain,
( multiply(inverse(X_18),n0) != multiply(n0,inverse(X_18))
| multiply(inverse(X_18),n0) != n0
| multiply(n0,inverse(X_18)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_18),n0),n0) ),[0],$fot(multiply(n0,inverse(X_18)))]]) ).
cnf(refute_0_191,plain,
( multiply(inverse(X_18),n0) != n0
| multiply(n0,inverse(X_18)) = n0 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),n0),multiply(n0,inverse(X_18))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(n0,inverse(X_18)) = n0,
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),n0),n0) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(n0,inverse(X_44)) = n0,
inference(subst,[],[refute_0_192:[bind(X_18,$fot(X_44))]]) ).
cnf(refute_0_194,plain,
( multiply(inverse(X_44),add(n0,Z)) != add(multiply(n0,inverse(X_44)),multiply(Z,inverse(X_44)))
| multiply(n0,inverse(X_44)) != n0
| multiply(inverse(X_44),add(n0,Z)) = add(n0,multiply(Z,inverse(X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_44),add(n0,Z)),add(multiply(n0,inverse(X_44)),multiply(Z,inverse(X_44)))) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(X_44),add(n0,Z)) != add(multiply(n0,inverse(X_44)),multiply(Z,inverse(X_44)))
| multiply(inverse(X_44),add(n0,Z)) = add(n0,multiply(Z,inverse(X_44))) ),
inference(resolve,[$cnf( $equal(multiply(n0,inverse(X_44)),n0) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(inverse(X_44),add(n0,Z)) = add(n0,multiply(Z,inverse(X_44))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),add(n0,Z)),add(multiply(n0,inverse(X_44)),multiply(Z,inverse(X_44)))) )],[refute_0_180,refute_0_195]) ).
cnf(refute_0_197,plain,
( multiply(inverse(X_44),add(n0,Z)) != add(n0,multiply(Z,inverse(X_44)))
| add(n0,multiply(Z,inverse(X_44))) = multiply(inverse(X_44),add(n0,Z)) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(multiply(inverse(X_44),add(n0,Z)))),bind(Y0,$fot(add(n0,multiply(Z,inverse(X_44)))))]]) ).
cnf(refute_0_198,plain,
add(n0,multiply(Z,inverse(X_44))) = multiply(inverse(X_44),add(n0,Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),add(n0,Z)),add(n0,multiply(Z,inverse(X_44)))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
add(n0,multiply(X_38,inverse(X_37))) = multiply(inverse(X_37),add(n0,X_38)),
inference(subst,[],[refute_0_198:[bind(Z,$fot(X_38)),bind(X_44,$fot(X_37))]]) ).
cnf(refute_0_200,plain,
( multiply(inverse(X_37),add(X_37,X_38)) != add(n0,multiply(X_38,inverse(X_37)))
| add(n0,multiply(X_38,inverse(X_37))) != multiply(inverse(X_37),add(n0,X_38))
| multiply(inverse(X_37),add(X_37,X_38)) = multiply(inverse(X_37),add(n0,X_38)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_37),add(X_37,X_38)),multiply(inverse(X_37),add(n0,X_38))) ),[0],$fot(add(n0,multiply(X_38,inverse(X_37))))]]) ).
cnf(refute_0_201,plain,
( multiply(inverse(X_37),add(X_37,X_38)) != add(n0,multiply(X_38,inverse(X_37)))
| multiply(inverse(X_37),add(X_37,X_38)) = multiply(inverse(X_37),add(n0,X_38)) ),
inference(resolve,[$cnf( $equal(add(n0,multiply(X_38,inverse(X_37))),multiply(inverse(X_37),add(n0,X_38))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(inverse(X_37),add(X_37,X_38)) = multiply(inverse(X_37),add(n0,X_38)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),add(X_37,X_38)),add(n0,multiply(X_38,inverse(X_37)))) )],[refute_0_179,refute_0_201]) ).
cnf(refute_0_203,plain,
add(n0,multiply(X_11,n1)) = multiply(add(X_11,n0),add(n1,n0)),
inference(subst,[],[add_multiply_property:[bind(X,$fot(n0)),bind(Y,$fot(X_11)),bind(Z,$fot(n1))]]) ).
cnf(refute_0_204,plain,
add(n1,inverse(n1)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(n1))]]) ).
cnf(refute_0_205,plain,
multiply(n1,inverse(n1)) = n0,
inference(subst,[],[multiplicative_inverse:[bind(X,$fot(n1))]]) ).
cnf(refute_0_206,plain,
multiply(add(X_2,inverse(X_2)),inverse(X_2)) = inverse(X_2),
inference(subst,[],[multiply_add:[bind(X,$fot(X_2)),bind(Y,$fot(inverse(X_2)))]]) ).
cnf(refute_0_207,plain,
add(X_2,inverse(X_2)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_208,plain,
( multiply(add(X_2,inverse(X_2)),inverse(X_2)) != inverse(X_2)
| add(X_2,inverse(X_2)) != n1
| multiply(n1,inverse(X_2)) = inverse(X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_2,inverse(X_2)),inverse(X_2)),inverse(X_2)) ),[0,0],$fot(n1)]]) ).
cnf(refute_0_209,plain,
( multiply(add(X_2,inverse(X_2)),inverse(X_2)) != inverse(X_2)
| multiply(n1,inverse(X_2)) = inverse(X_2) ),
inference(resolve,[$cnf( $equal(add(X_2,inverse(X_2)),n1) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(n1,inverse(X_2)) = inverse(X_2),
inference(resolve,[$cnf( $equal(multiply(add(X_2,inverse(X_2)),inverse(X_2)),inverse(X_2)) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(n1,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_210:[bind(X_2,$fot(n1))]]) ).
cnf(refute_0_212,plain,
( multiply(n1,inverse(n1)) != inverse(n1)
| multiply(n1,inverse(n1)) != n0
| inverse(n1) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,inverse(n1)),n0) ),[0],$fot(inverse(n1))]]) ).
cnf(refute_0_213,plain,
( multiply(n1,inverse(n1)) != n0
| inverse(n1) = n0 ),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(n1)),inverse(n1)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
inverse(n1) = n0,
inference(resolve,[$cnf( $equal(multiply(n1,inverse(n1)),n0) )],[refute_0_205,refute_0_213]) ).
cnf(refute_0_215,plain,
( add(n1,inverse(n1)) != n1
| inverse(n1) != n0
| add(n1,n0) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(add(n1,inverse(n1)),n1) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_216,plain,
( add(n1,inverse(n1)) != n1
| add(n1,n0) = n1 ),
inference(resolve,[$cnf( $equal(inverse(n1),n0) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
add(n1,n0) = n1,
inference(resolve,[$cnf( $equal(add(n1,inverse(n1)),n1) )],[refute_0_204,refute_0_216]) ).
cnf(refute_0_218,plain,
( add(n0,multiply(X_11,n1)) != multiply(add(X_11,n0),add(n1,n0))
| add(n1,n0) != n1
| add(n0,multiply(X_11,n1)) = multiply(add(X_11,n0),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(n0,multiply(X_11,n1)),multiply(add(X_11,n0),add(n1,n0))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_219,plain,
( add(n0,multiply(X_11,n1)) != multiply(add(X_11,n0),add(n1,n0))
| add(n0,multiply(X_11,n1)) = multiply(add(X_11,n0),n1) ),
inference(resolve,[$cnf( $equal(add(n1,n0),n1) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
add(n0,multiply(X_11,n1)) = multiply(add(X_11,n0),n1),
inference(resolve,[$cnf( $equal(add(n0,multiply(X_11,n1)),multiply(add(X_11,n0),add(n1,n0))) )],[refute_0_203,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(add(X_11,n0),n1) = multiply(n1,add(X_11,n0)),
inference(subst,[],[refute_0_24:[bind(X_36,$fot(n1)),bind(X_37,$fot(add(X_11,n0)))]]) ).
cnf(refute_0_222,plain,
( multiply(add(X_11,n0),n1) != multiply(n1,add(X_11,n0))
| add(n0,multiply(X_11,n1)) != multiply(add(X_11,n0),n1)
| add(n0,multiply(X_11,n1)) = multiply(n1,add(X_11,n0)) ),
introduced(tautology,[equality,[$cnf( $equal(add(n0,multiply(X_11,n1)),multiply(add(X_11,n0),n1)) ),[1],$fot(multiply(n1,add(X_11,n0)))]]) ).
cnf(refute_0_223,plain,
( add(n0,multiply(X_11,n1)) != multiply(add(X_11,n0),n1)
| add(n0,multiply(X_11,n1)) = multiply(n1,add(X_11,n0)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,n0),n1),multiply(n1,add(X_11,n0))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
add(n0,multiply(X_11,n1)) = multiply(n1,add(X_11,n0)),
inference(resolve,[$cnf( $equal(add(n0,multiply(X_11,n1)),multiply(add(X_11,n0),n1)) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(X_36,add(X_36,X_38)) = add(multiply(X_36,X_36),multiply(X_38,X_36)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_36)),bind(Y,$fot(X_36)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_226,plain,
( multiply(X_36,X_36) != X_36
| multiply(X_36,add(X_36,X_38)) != add(multiply(X_36,X_36),multiply(X_38,X_36))
| multiply(X_36,add(X_36,X_38)) = add(X_36,multiply(X_38,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_36,X_38)),add(multiply(X_36,X_36),multiply(X_38,X_36))) ),[1,0],$fot(X_36)]]) ).
cnf(refute_0_227,plain,
( multiply(X_36,add(X_36,X_38)) != add(multiply(X_36,X_36),multiply(X_38,X_36))
| multiply(X_36,add(X_36,X_38)) = add(X_36,multiply(X_38,X_36)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,X_36),X_36) )],[refute_0_86,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(X_36,add(X_36,X_38)) = add(X_36,multiply(X_38,X_36)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_36,X_38)),add(multiply(X_36,X_36),multiply(X_38,X_36))) )],[refute_0_225,refute_0_227]) ).
cnf(refute_0_229,plain,
add(X_36,multiply(X_38,X_36)) = X_36,
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X_36)),bind(X_11,$fot(X_38))]]) ).
cnf(refute_0_230,plain,
( multiply(X_36,add(X_36,X_38)) != add(X_36,multiply(X_38,X_36))
| add(X_36,multiply(X_38,X_36)) != X_36
| multiply(X_36,add(X_36,X_38)) = X_36 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,add(X_36,X_38)),X_36) ),[0],$fot(add(X_36,multiply(X_38,X_36)))]]) ).
cnf(refute_0_231,plain,
( multiply(X_36,add(X_36,X_38)) != add(X_36,multiply(X_38,X_36))
| multiply(X_36,add(X_36,X_38)) = X_36 ),
inference(resolve,[$cnf( $equal(add(X_36,multiply(X_38,X_36)),X_36) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(X_36,add(X_36,X_38)) = X_36,
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_36,X_38)),add(X_36,multiply(X_38,X_36))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(X_42,add(X_42,inverse(X_42))) = X_42,
inference(subst,[],[refute_0_232:[bind(X_36,$fot(X_42)),bind(X_38,$fot(inverse(X_42)))]]) ).
cnf(refute_0_234,plain,
add(X_42,inverse(X_42)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_42))]]) ).
cnf(refute_0_235,plain,
( multiply(X_42,add(X_42,inverse(X_42))) != X_42
| add(X_42,inverse(X_42)) != n1
| multiply(X_42,n1) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_42,add(X_42,inverse(X_42))),X_42) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_236,plain,
( multiply(X_42,add(X_42,inverse(X_42))) != X_42
| multiply(X_42,n1) = X_42 ),
inference(resolve,[$cnf( $equal(add(X_42,inverse(X_42)),n1) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(X_42,n1) = X_42,
inference(resolve,[$cnf( $equal(multiply(X_42,add(X_42,inverse(X_42))),X_42) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(X_11,n1) = X_11,
inference(subst,[],[refute_0_237:[bind(X_42,$fot(X_11))]]) ).
cnf(refute_0_239,plain,
add(n0,multiply(X_11,n1)) = add(n0,multiply(X_11,n1)),
introduced(tautology,[refl,[$fot(add(n0,multiply(X_11,n1)))]]) ).
cnf(refute_0_240,plain,
( multiply(X_11,n1) != X_11
| add(n0,multiply(X_11,n1)) != add(n0,multiply(X_11,n1))
| add(n0,multiply(X_11,n1)) = add(n0,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(add(n0,multiply(X_11,n1)),add(n0,multiply(X_11,n1))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_241,plain,
( multiply(X_11,n1) != X_11
| add(n0,multiply(X_11,n1)) = add(n0,X_11) ),
inference(resolve,[$cnf( $equal(add(n0,multiply(X_11,n1)),add(n0,multiply(X_11,n1))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
add(n0,multiply(X_11,n1)) = add(n0,X_11),
inference(resolve,[$cnf( $equal(multiply(X_11,n1),X_11) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
( add(n0,multiply(X_11,n1)) != multiply(n1,add(X_11,n0))
| add(n0,multiply(X_11,n1)) != add(n0,X_11)
| add(n0,X_11) = multiply(n1,add(X_11,n0)) ),
introduced(tautology,[equality,[$cnf( $equal(add(n0,multiply(X_11,n1)),multiply(n1,add(X_11,n0))) ),[0],$fot(add(n0,X_11))]]) ).
cnf(refute_0_244,plain,
( add(n0,multiply(X_11,n1)) != multiply(n1,add(X_11,n0))
| add(n0,X_11) = multiply(n1,add(X_11,n0)) ),
inference(resolve,[$cnf( $equal(add(n0,multiply(X_11,n1)),add(n0,X_11)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
add(n0,X_11) = multiply(n1,add(X_11,n0)),
inference(resolve,[$cnf( $equal(add(n0,multiply(X_11,n1)),multiply(n1,add(X_11,n0))) )],[refute_0_224,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(n1,multiply(X_14,n1)) = multiply(X_14,n1),
inference(subst,[],[refute_0_43:[bind(X,$fot(n1))]]) ).
cnf(refute_0_247,plain,
multiply(X_14,n1) = X_14,
inference(subst,[],[refute_0_237:[bind(X_42,$fot(X_14))]]) ).
cnf(refute_0_248,plain,
( multiply(X_14,n1) != X_14
| multiply(n1,multiply(X_14,n1)) != multiply(X_14,n1)
| multiply(n1,X_14) = multiply(X_14,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(X_14,n1)),multiply(X_14,n1)) ),[0,1],$fot(X_14)]]) ).
cnf(refute_0_249,plain,
( multiply(n1,multiply(X_14,n1)) != multiply(X_14,n1)
| multiply(n1,X_14) = multiply(X_14,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_14,n1),X_14) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(n1,X_14) = multiply(X_14,n1),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(X_14,n1)),multiply(X_14,n1)) )],[refute_0_246,refute_0_249]) ).
cnf(refute_0_251,plain,
( multiply(X_14,n1) != X_14
| multiply(n1,X_14) != multiply(X_14,n1)
| multiply(n1,X_14) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,X_14),multiply(X_14,n1)) ),[1],$fot(X_14)]]) ).
cnf(refute_0_252,plain,
( multiply(n1,X_14) != multiply(X_14,n1)
| multiply(n1,X_14) = X_14 ),
inference(resolve,[$cnf( $equal(multiply(X_14,n1),X_14) )],[refute_0_247,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(n1,X_14) = X_14,
inference(resolve,[$cnf( $equal(multiply(n1,X_14),multiply(X_14,n1)) )],[refute_0_250,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(n1,add(X_11,n0)) = add(X_11,n0),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(add(X_11,n0)))]]) ).
cnf(refute_0_255,plain,
( multiply(n1,add(X_11,n0)) != add(X_11,n0)
| add(n0,X_11) != multiply(n1,add(X_11,n0))
| add(n0,X_11) = add(X_11,n0) ),
introduced(tautology,[equality,[$cnf( $equal(add(n0,X_11),multiply(n1,add(X_11,n0))) ),[1],$fot(add(X_11,n0))]]) ).
cnf(refute_0_256,plain,
( add(n0,X_11) != multiply(n1,add(X_11,n0))
| add(n0,X_11) = add(X_11,n0) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_11,n0)),add(X_11,n0)) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
add(n0,X_11) = add(X_11,n0),
inference(resolve,[$cnf( $equal(add(n0,X_11),multiply(n1,add(X_11,n0))) )],[refute_0_245,refute_0_256]) ).
cnf(refute_0_258,plain,
add(X_60,multiply(X_60,inverse(X_60))) = X_60,
inference(subst,[],[refute_0_101:[bind(X_10,$fot(X_60)),bind(X_12,$fot(inverse(X_60)))]]) ).
cnf(refute_0_259,plain,
multiply(X_60,inverse(X_60)) = n0,
inference(subst,[],[multiplicative_inverse:[bind(X,$fot(X_60))]]) ).
cnf(refute_0_260,plain,
( multiply(X_60,inverse(X_60)) != n0
| add(X_60,multiply(X_60,inverse(X_60))) != X_60
| add(X_60,n0) = X_60 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_60,multiply(X_60,inverse(X_60))),X_60) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_261,plain,
( add(X_60,multiply(X_60,inverse(X_60))) != X_60
| add(X_60,n0) = X_60 ),
inference(resolve,[$cnf( $equal(multiply(X_60,inverse(X_60)),n0) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
add(X_60,n0) = X_60,
inference(resolve,[$cnf( $equal(add(X_60,multiply(X_60,inverse(X_60))),X_60) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
add(X_11,n0) = X_11,
inference(subst,[],[refute_0_262:[bind(X_60,$fot(X_11))]]) ).
cnf(refute_0_264,plain,
( add(X_11,n0) != X_11
| add(n0,X_11) != add(X_11,n0)
| add(n0,X_11) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(add(n0,X_11),add(X_11,n0)) ),[1],$fot(X_11)]]) ).
cnf(refute_0_265,plain,
( add(n0,X_11) != add(X_11,n0)
| add(n0,X_11) = X_11 ),
inference(resolve,[$cnf( $equal(add(X_11,n0),X_11) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
add(n0,X_11) = X_11,
inference(resolve,[$cnf( $equal(add(n0,X_11),add(X_11,n0)) )],[refute_0_257,refute_0_265]) ).
cnf(refute_0_267,plain,
add(n0,X_38) = X_38,
inference(subst,[],[refute_0_266:[bind(X_11,$fot(X_38))]]) ).
cnf(refute_0_268,plain,
multiply(inverse(X_37),add(n0,X_38)) = multiply(inverse(X_37),add(n0,X_38)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_37),add(n0,X_38)))]]) ).
cnf(refute_0_269,plain,
( multiply(inverse(X_37),add(n0,X_38)) != multiply(inverse(X_37),add(n0,X_38))
| add(n0,X_38) != X_38
| multiply(inverse(X_37),add(n0,X_38)) = multiply(inverse(X_37),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_37),add(n0,X_38)),multiply(inverse(X_37),add(n0,X_38))) ),[1,1],$fot(X_38)]]) ).
cnf(refute_0_270,plain,
( add(n0,X_38) != X_38
| multiply(inverse(X_37),add(n0,X_38)) = multiply(inverse(X_37),X_38) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),add(n0,X_38)),multiply(inverse(X_37),add(n0,X_38))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(inverse(X_37),add(n0,X_38)) = multiply(inverse(X_37),X_38),
inference(resolve,[$cnf( $equal(add(n0,X_38),X_38) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
( multiply(inverse(X_37),add(X_37,X_38)) != multiply(inverse(X_37),add(n0,X_38))
| multiply(inverse(X_37),add(n0,X_38)) != multiply(inverse(X_37),X_38)
| multiply(inverse(X_37),add(X_37,X_38)) = multiply(inverse(X_37),X_38) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_37),add(X_37,X_38)),multiply(inverse(X_37),X_38)) ),[0],$fot(multiply(inverse(X_37),add(n0,X_38)))]]) ).
cnf(refute_0_273,plain,
( multiply(inverse(X_37),add(X_37,X_38)) != multiply(inverse(X_37),add(n0,X_38))
| multiply(inverse(X_37),add(X_37,X_38)) = multiply(inverse(X_37),X_38) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),add(n0,X_38)),multiply(inverse(X_37),X_38)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(inverse(X_37),add(X_37,X_38)) = multiply(inverse(X_37),X_38),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),add(X_37,X_38)),multiply(inverse(X_37),add(n0,X_38))) )],[refute_0_202,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(inverse(inverse(X_109)),add(inverse(X_109),X_123)) = multiply(inverse(inverse(X_109)),X_123),
inference(subst,[],[refute_0_274:[bind(X_37,$fot(inverse(X_109))),bind(X_38,$fot(X_123))]]) ).
cnf(refute_0_276,plain,
multiply(inverse(X_38),add(X_37,X_38)) = add(multiply(X_37,inverse(X_38)),multiply(X_38,inverse(X_38))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X_38))),bind(Y,$fot(X_37)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_277,plain,
multiply(X_38,inverse(X_38)) = n0,
inference(subst,[],[multiplicative_inverse:[bind(X,$fot(X_38))]]) ).
cnf(refute_0_278,plain,
( multiply(X_38,inverse(X_38)) != n0
| multiply(inverse(X_38),add(X_37,X_38)) != add(multiply(X_37,inverse(X_38)),multiply(X_38,inverse(X_38)))
| multiply(inverse(X_38),add(X_37,X_38)) = add(multiply(X_37,inverse(X_38)),n0) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_38),add(X_37,X_38)),add(multiply(X_37,inverse(X_38)),multiply(X_38,inverse(X_38)))) ),[1,1],$fot(n0)]]) ).
cnf(refute_0_279,plain,
( multiply(inverse(X_38),add(X_37,X_38)) != add(multiply(X_37,inverse(X_38)),multiply(X_38,inverse(X_38)))
| multiply(inverse(X_38),add(X_37,X_38)) = add(multiply(X_37,inverse(X_38)),n0) ),
inference(resolve,[$cnf( $equal(multiply(X_38,inverse(X_38)),n0) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(inverse(X_38),add(X_37,X_38)) = add(multiply(X_37,inverse(X_38)),n0),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),add(X_37,X_38)),add(multiply(X_37,inverse(X_38)),multiply(X_38,inverse(X_38)))) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
add(multiply(X_37,inverse(X_38)),n0) = add(n0,multiply(X_37,inverse(X_38))),
inference(subst,[],[refute_0_70:[bind(X_10,$fot(n0)),bind(X_11,$fot(multiply(X_37,inverse(X_38))))]]) ).
cnf(refute_0_282,plain,
( multiply(inverse(X_38),add(X_37,X_38)) != add(multiply(X_37,inverse(X_38)),n0)
| add(multiply(X_37,inverse(X_38)),n0) != add(n0,multiply(X_37,inverse(X_38)))
| multiply(inverse(X_38),add(X_37,X_38)) = add(n0,multiply(X_37,inverse(X_38))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_38),add(X_37,X_38)),add(n0,multiply(X_37,inverse(X_38)))) ),[0],$fot(add(multiply(X_37,inverse(X_38)),n0))]]) ).
cnf(refute_0_283,plain,
( multiply(inverse(X_38),add(X_37,X_38)) != add(multiply(X_37,inverse(X_38)),n0)
| multiply(inverse(X_38),add(X_37,X_38)) = add(n0,multiply(X_37,inverse(X_38))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_37,inverse(X_38)),n0),add(n0,multiply(X_37,inverse(X_38)))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(inverse(X_38),add(X_37,X_38)) = add(n0,multiply(X_37,inverse(X_38))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),add(X_37,X_38)),add(multiply(X_37,inverse(X_38)),n0)) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
add(n0,multiply(X_37,inverse(X_38))) = multiply(inverse(X_38),add(n0,X_37)),
inference(subst,[],[refute_0_198:[bind(Z,$fot(X_37)),bind(X_44,$fot(X_38))]]) ).
cnf(refute_0_286,plain,
( multiply(inverse(X_38),add(X_37,X_38)) != add(n0,multiply(X_37,inverse(X_38)))
| add(n0,multiply(X_37,inverse(X_38))) != multiply(inverse(X_38),add(n0,X_37))
| multiply(inverse(X_38),add(X_37,X_38)) = multiply(inverse(X_38),add(n0,X_37)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_38),add(X_37,X_38)),multiply(inverse(X_38),add(n0,X_37))) ),[0],$fot(add(n0,multiply(X_37,inverse(X_38))))]]) ).
cnf(refute_0_287,plain,
( multiply(inverse(X_38),add(X_37,X_38)) != add(n0,multiply(X_37,inverse(X_38)))
| multiply(inverse(X_38),add(X_37,X_38)) = multiply(inverse(X_38),add(n0,X_37)) ),
inference(resolve,[$cnf( $equal(add(n0,multiply(X_37,inverse(X_38))),multiply(inverse(X_38),add(n0,X_37))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(inverse(X_38),add(X_37,X_38)) = multiply(inverse(X_38),add(n0,X_37)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),add(X_37,X_38)),add(n0,multiply(X_37,inverse(X_38)))) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
add(n0,X_37) = X_37,
inference(subst,[],[refute_0_266:[bind(X_11,$fot(X_37))]]) ).
cnf(refute_0_290,plain,
multiply(inverse(X_38),add(n0,X_37)) = multiply(inverse(X_38),add(n0,X_37)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_38),add(n0,X_37)))]]) ).
cnf(refute_0_291,plain,
( multiply(inverse(X_38),add(n0,X_37)) != multiply(inverse(X_38),add(n0,X_37))
| add(n0,X_37) != X_37
| multiply(inverse(X_38),add(n0,X_37)) = multiply(inverse(X_38),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_38),add(n0,X_37)),multiply(inverse(X_38),add(n0,X_37))) ),[1,1],$fot(X_37)]]) ).
cnf(refute_0_292,plain,
( add(n0,X_37) != X_37
| multiply(inverse(X_38),add(n0,X_37)) = multiply(inverse(X_38),X_37) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),add(n0,X_37)),multiply(inverse(X_38),add(n0,X_37))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(inverse(X_38),add(n0,X_37)) = multiply(inverse(X_38),X_37),
inference(resolve,[$cnf( $equal(add(n0,X_37),X_37) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
( multiply(inverse(X_38),add(X_37,X_38)) != multiply(inverse(X_38),add(n0,X_37))
| multiply(inverse(X_38),add(n0,X_37)) != multiply(inverse(X_38),X_37)
| multiply(inverse(X_38),add(X_37,X_38)) = multiply(inverse(X_38),X_37) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_38),add(X_37,X_38)),multiply(inverse(X_38),X_37)) ),[0],$fot(multiply(inverse(X_38),add(n0,X_37)))]]) ).
cnf(refute_0_295,plain,
( multiply(inverse(X_38),add(X_37,X_38)) != multiply(inverse(X_38),add(n0,X_37))
| multiply(inverse(X_38),add(X_37,X_38)) = multiply(inverse(X_38),X_37) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),add(n0,X_37)),multiply(inverse(X_38),X_37)) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(inverse(X_38),add(X_37,X_38)) = multiply(inverse(X_38),X_37),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),add(X_37,X_38)),multiply(inverse(X_38),add(n0,X_37))) )],[refute_0_288,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(inverse(inverse(X_109)),add(X_109,inverse(X_109))) = multiply(inverse(inverse(X_109)),X_109),
inference(subst,[],[refute_0_296:[bind(X_37,$fot(X_109)),bind(X_38,$fot(inverse(X_109)))]]) ).
cnf(refute_0_298,plain,
add(X_109,inverse(X_109)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_109))]]) ).
cnf(refute_0_299,plain,
( multiply(inverse(inverse(X_109)),add(X_109,inverse(X_109))) != multiply(inverse(inverse(X_109)),X_109)
| add(X_109,inverse(X_109)) != n1
| multiply(inverse(inverse(X_109)),n1) = multiply(inverse(inverse(X_109)),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_109)),add(X_109,inverse(X_109))),multiply(inverse(inverse(X_109)),X_109)) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_300,plain,
( multiply(inverse(inverse(X_109)),add(X_109,inverse(X_109))) != multiply(inverse(inverse(X_109)),X_109)
| multiply(inverse(inverse(X_109)),n1) = multiply(inverse(inverse(X_109)),X_109) ),
inference(resolve,[$cnf( $equal(add(X_109,inverse(X_109)),n1) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(inverse(inverse(X_109)),n1) = multiply(inverse(inverse(X_109)),X_109),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),add(X_109,inverse(X_109))),multiply(inverse(inverse(X_109)),X_109)) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(n1,inverse(inverse(X_109))) = inverse(inverse(X_109)),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(inverse(inverse(X_109))))]]) ).
cnf(refute_0_303,plain,
multiply(inverse(inverse(X_109)),n1) = multiply(n1,inverse(inverse(X_109))),
inference(subst,[],[refute_0_140:[bind(X,$fot(n1)),bind(Y,$fot(inverse(inverse(X_109))))]]) ).
cnf(refute_0_304,plain,
( multiply(inverse(inverse(X_109)),n1) != multiply(n1,inverse(inverse(X_109)))
| multiply(n1,inverse(inverse(X_109))) != inverse(inverse(X_109))
| multiply(inverse(inverse(X_109)),n1) = inverse(inverse(X_109)) ),
inference(subst,[],[refute_0_73:[bind(X0,$fot(multiply(inverse(inverse(X_109)),n1))),bind(Y0,$fot(multiply(n1,inverse(inverse(X_109))))),bind(Z0,$fot(inverse(inverse(X_109))))]]) ).
cnf(refute_0_305,plain,
( multiply(n1,inverse(inverse(X_109))) != inverse(inverse(X_109))
| multiply(inverse(inverse(X_109)),n1) = inverse(inverse(X_109)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),n1),multiply(n1,inverse(inverse(X_109)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(inverse(inverse(X_109)),n1) = inverse(inverse(X_109)),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(inverse(X_109))),inverse(inverse(X_109))) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiply(inverse(inverse(X_109)),n1) != multiply(inverse(inverse(X_109)),X_109)
| multiply(inverse(inverse(X_109)),n1) != inverse(inverse(X_109))
| inverse(inverse(X_109)) = multiply(inverse(inverse(X_109)),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_109)),n1),multiply(inverse(inverse(X_109)),X_109)) ),[0],$fot(inverse(inverse(X_109)))]]) ).
cnf(refute_0_308,plain,
( multiply(inverse(inverse(X_109)),n1) != multiply(inverse(inverse(X_109)),X_109)
| inverse(inverse(X_109)) = multiply(inverse(inverse(X_109)),X_109) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),n1),inverse(inverse(X_109))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(X_36,add(X_36,inverse(inverse(X_36)))) = X_36,
inference(subst,[],[refute_0_232:[bind(X_38,$fot(inverse(inverse(X_36))))]]) ).
cnf(refute_0_310,plain,
add(inverse(X_12),multiply(X_11,X_12)) = multiply(add(X_11,inverse(X_12)),add(X_12,inverse(X_12))),
inference(subst,[],[add_multiply_property:[bind(X,$fot(inverse(X_12))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_311,plain,
add(X_12,inverse(X_12)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_312,plain,
( add(X_12,inverse(X_12)) != n1
| add(inverse(X_12),multiply(X_11,X_12)) != multiply(add(X_11,inverse(X_12)),add(X_12,inverse(X_12)))
| add(inverse(X_12),multiply(X_11,X_12)) = multiply(add(X_11,inverse(X_12)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_12),multiply(X_11,X_12)),multiply(add(X_11,inverse(X_12)),add(X_12,inverse(X_12)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_313,plain,
( add(inverse(X_12),multiply(X_11,X_12)) != multiply(add(X_11,inverse(X_12)),add(X_12,inverse(X_12)))
| add(inverse(X_12),multiply(X_11,X_12)) = multiply(add(X_11,inverse(X_12)),n1) ),
inference(resolve,[$cnf( $equal(add(X_12,inverse(X_12)),n1) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
add(inverse(X_12),multiply(X_11,X_12)) = multiply(add(X_11,inverse(X_12)),n1),
inference(resolve,[$cnf( $equal(add(inverse(X_12),multiply(X_11,X_12)),multiply(add(X_11,inverse(X_12)),add(X_12,inverse(X_12)))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))) = multiply(add(X_20,inverse(inverse(X_20))),n1),
inference(subst,[],[refute_0_314:[bind(X_11,$fot(X_20)),bind(X_12,$fot(inverse(X_20)))]]) ).
cnf(refute_0_316,plain,
multiply(X_20,inverse(X_20)) = n0,
inference(subst,[],[multiplicative_inverse:[bind(X,$fot(X_20))]]) ).
cnf(refute_0_317,plain,
( multiply(X_20,inverse(X_20)) != n0
| add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))) != multiply(add(X_20,inverse(inverse(X_20))),n1)
| add(inverse(inverse(X_20)),n0) = multiply(add(X_20,inverse(inverse(X_20))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))),multiply(add(X_20,inverse(inverse(X_20))),n1)) ),[0,1],$fot(n0)]]) ).
cnf(refute_0_318,plain,
( add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))) != multiply(add(X_20,inverse(inverse(X_20))),n1)
| add(inverse(inverse(X_20)),n0) = multiply(add(X_20,inverse(inverse(X_20))),n1) ),
inference(resolve,[$cnf( $equal(multiply(X_20,inverse(X_20)),n0) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
add(inverse(inverse(X_20)),n0) = multiply(add(X_20,inverse(inverse(X_20))),n1),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))),multiply(add(X_20,inverse(inverse(X_20))),n1)) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
add(multiply(X_4,inverse(X_4)),inverse(X_4)) = inverse(X_4),
inference(subst,[],[add_multiply:[bind(X,$fot(X_4)),bind(Y,$fot(inverse(X_4)))]]) ).
cnf(refute_0_321,plain,
multiply(X_4,inverse(X_4)) = n0,
inference(subst,[],[multiplicative_inverse:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_322,plain,
( multiply(X_4,inverse(X_4)) != n0
| add(multiply(X_4,inverse(X_4)),inverse(X_4)) != inverse(X_4)
| add(n0,inverse(X_4)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_4,inverse(X_4)),inverse(X_4)),inverse(X_4)) ),[0,0],$fot(n0)]]) ).
cnf(refute_0_323,plain,
( add(multiply(X_4,inverse(X_4)),inverse(X_4)) != inverse(X_4)
| add(n0,inverse(X_4)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(X_4)),n0) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
add(n0,inverse(X_4)) = inverse(X_4),
inference(resolve,[$cnf( $equal(add(multiply(X_4,inverse(X_4)),inverse(X_4)),inverse(X_4)) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
add(n0,inverse(inverse(X_20))) = inverse(inverse(X_20)),
inference(subst,[],[refute_0_324:[bind(X_4,$fot(inverse(X_20)))]]) ).
cnf(refute_0_326,plain,
add(inverse(inverse(X_20)),n0) = add(n0,inverse(inverse(X_20))),
inference(subst,[],[refute_0_70:[bind(X_10,$fot(n0)),bind(X_11,$fot(inverse(inverse(X_20))))]]) ).
cnf(refute_0_327,plain,
( add(inverse(inverse(X_20)),n0) != add(n0,inverse(inverse(X_20)))
| add(n0,inverse(inverse(X_20))) != inverse(inverse(X_20))
| add(inverse(inverse(X_20)),n0) = inverse(inverse(X_20)) ),
inference(subst,[],[refute_0_73:[bind(X0,$fot(add(inverse(inverse(X_20)),n0))),bind(Y0,$fot(add(n0,inverse(inverse(X_20))))),bind(Z0,$fot(inverse(inverse(X_20))))]]) ).
cnf(refute_0_328,plain,
( add(n0,inverse(inverse(X_20))) != inverse(inverse(X_20))
| add(inverse(inverse(X_20)),n0) = inverse(inverse(X_20)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),n0),add(n0,inverse(inverse(X_20)))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
add(inverse(inverse(X_20)),n0) = inverse(inverse(X_20)),
inference(resolve,[$cnf( $equal(add(n0,inverse(inverse(X_20))),inverse(inverse(X_20))) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
( add(inverse(inverse(X_20)),n0) != multiply(add(X_20,inverse(inverse(X_20))),n1)
| add(inverse(inverse(X_20)),n0) != inverse(inverse(X_20))
| inverse(inverse(X_20)) = multiply(add(X_20,inverse(inverse(X_20))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_20)),n0),multiply(add(X_20,inverse(inverse(X_20))),n1)) ),[0],$fot(inverse(inverse(X_20)))]]) ).
cnf(refute_0_331,plain,
( add(inverse(inverse(X_20)),n0) != multiply(add(X_20,inverse(inverse(X_20))),n1)
| inverse(inverse(X_20)) = multiply(add(X_20,inverse(inverse(X_20))),n1) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),n0),inverse(inverse(X_20))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
inverse(inverse(X_20)) = multiply(add(X_20,inverse(inverse(X_20))),n1),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),n0),multiply(add(X_20,inverse(inverse(X_20))),n1)) )],[refute_0_319,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(add(X_20,inverse(inverse(X_20))),n1) = multiply(n1,add(X_20,inverse(inverse(X_20)))),
inference(subst,[],[refute_0_24:[bind(X_36,$fot(n1)),bind(X_37,$fot(add(X_20,inverse(inverse(X_20)))))]]) ).
cnf(refute_0_334,plain,
( multiply(add(X_20,inverse(inverse(X_20))),n1) != multiply(n1,add(X_20,inverse(inverse(X_20))))
| inverse(inverse(X_20)) != multiply(add(X_20,inverse(inverse(X_20))),n1)
| inverse(inverse(X_20)) = multiply(n1,add(X_20,inverse(inverse(X_20)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_20)),multiply(add(X_20,inverse(inverse(X_20))),n1)) ),[1],$fot(multiply(n1,add(X_20,inverse(inverse(X_20)))))]]) ).
cnf(refute_0_335,plain,
( inverse(inverse(X_20)) != multiply(add(X_20,inverse(inverse(X_20))),n1)
| inverse(inverse(X_20)) = multiply(n1,add(X_20,inverse(inverse(X_20)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_20,inverse(inverse(X_20))),n1),multiply(n1,add(X_20,inverse(inverse(X_20))))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
inverse(inverse(X_20)) = multiply(n1,add(X_20,inverse(inverse(X_20)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_20)),multiply(add(X_20,inverse(inverse(X_20))),n1)) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
add(inverse(inverse(X_20)),X_20) = add(X_20,inverse(inverse(X_20))),
inference(subst,[],[refute_0_70:[bind(X_10,$fot(X_20)),bind(X_11,$fot(inverse(inverse(X_20))))]]) ).
cnf(refute_0_338,plain,
add(inverse(inverse(X_24)),multiply(Y,n1)) = multiply(add(Y,inverse(inverse(X_24))),add(n1,inverse(inverse(X_24)))),
inference(subst,[],[add_multiply_property:[bind(X,$fot(inverse(inverse(X_24)))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_339,plain,
add(n1,multiply(add(X_23,inverse(inverse(X_23))),n1)) = n1,
inference(subst,[],[refute_0_39:[bind(X_10,$fot(n1)),bind(X_11,$fot(add(X_23,inverse(inverse(X_23)))))]]) ).
cnf(refute_0_340,plain,
inverse(inverse(X_23)) = multiply(add(X_23,inverse(inverse(X_23))),n1),
inference(subst,[],[refute_0_332:[bind(X_20,$fot(X_23))]]) ).
cnf(refute_0_341,plain,
( inverse(inverse(X_23)) != multiply(add(X_23,inverse(inverse(X_23))),n1)
| multiply(add(X_23,inverse(inverse(X_23))),n1) = inverse(inverse(X_23)) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(inverse(inverse(X_23)))),bind(Y0,$fot(multiply(add(X_23,inverse(inverse(X_23))),n1)))]]) ).
cnf(refute_0_342,plain,
multiply(add(X_23,inverse(inverse(X_23))),n1) = inverse(inverse(X_23)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_23)),multiply(add(X_23,inverse(inverse(X_23))),n1)) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
( multiply(add(X_23,inverse(inverse(X_23))),n1) != inverse(inverse(X_23))
| add(n1,multiply(add(X_23,inverse(inverse(X_23))),n1)) != n1
| add(n1,inverse(inverse(X_23))) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(add(n1,multiply(add(X_23,inverse(inverse(X_23))),n1)),n1) ),[0,1],$fot(inverse(inverse(X_23)))]]) ).
cnf(refute_0_344,plain,
( add(n1,multiply(add(X_23,inverse(inverse(X_23))),n1)) != n1
| add(n1,inverse(inverse(X_23))) = n1 ),
inference(resolve,[$cnf( $equal(multiply(add(X_23,inverse(inverse(X_23))),n1),inverse(inverse(X_23))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
add(n1,inverse(inverse(X_23))) = n1,
inference(resolve,[$cnf( $equal(add(n1,multiply(add(X_23,inverse(inverse(X_23))),n1)),n1) )],[refute_0_339,refute_0_344]) ).
cnf(refute_0_346,plain,
add(n1,inverse(inverse(X_24))) = n1,
inference(subst,[],[refute_0_345:[bind(X_23,$fot(X_24))]]) ).
cnf(refute_0_347,plain,
( add(inverse(inverse(X_24)),multiply(Y,n1)) != multiply(add(Y,inverse(inverse(X_24))),add(n1,inverse(inverse(X_24))))
| add(n1,inverse(inverse(X_24))) != n1
| add(inverse(inverse(X_24)),multiply(Y,n1)) = multiply(add(Y,inverse(inverse(X_24))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),multiply(add(Y,inverse(inverse(X_24))),add(n1,inverse(inverse(X_24))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_348,plain,
( add(inverse(inverse(X_24)),multiply(Y,n1)) != multiply(add(Y,inverse(inverse(X_24))),add(n1,inverse(inverse(X_24))))
| add(inverse(inverse(X_24)),multiply(Y,n1)) = multiply(add(Y,inverse(inverse(X_24))),n1) ),
inference(resolve,[$cnf( $equal(add(n1,inverse(inverse(X_24))),n1) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
add(inverse(inverse(X_24)),multiply(Y,n1)) = multiply(add(Y,inverse(inverse(X_24))),n1),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),multiply(add(Y,inverse(inverse(X_24))),add(n1,inverse(inverse(X_24))))) )],[refute_0_338,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(add(Y,inverse(inverse(X_24))),n1) = multiply(n1,add(Y,inverse(inverse(X_24)))),
inference(subst,[],[refute_0_24:[bind(X_36,$fot(n1)),bind(X_37,$fot(add(Y,inverse(inverse(X_24)))))]]) ).
cnf(refute_0_351,plain,
( multiply(add(Y,inverse(inverse(X_24))),n1) != multiply(n1,add(Y,inverse(inverse(X_24))))
| add(inverse(inverse(X_24)),multiply(Y,n1)) != multiply(add(Y,inverse(inverse(X_24))),n1)
| add(inverse(inverse(X_24)),multiply(Y,n1)) = multiply(n1,add(Y,inverse(inverse(X_24)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),multiply(add(Y,inverse(inverse(X_24))),n1)) ),[1],$fot(multiply(n1,add(Y,inverse(inverse(X_24)))))]]) ).
cnf(refute_0_352,plain,
( add(inverse(inverse(X_24)),multiply(Y,n1)) != multiply(add(Y,inverse(inverse(X_24))),n1)
| add(inverse(inverse(X_24)),multiply(Y,n1)) = multiply(n1,add(Y,inverse(inverse(X_24)))) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,inverse(inverse(X_24))),n1),multiply(n1,add(Y,inverse(inverse(X_24))))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
add(inverse(inverse(X_24)),multiply(Y,n1)) = multiply(n1,add(Y,inverse(inverse(X_24)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),multiply(add(Y,inverse(inverse(X_24))),n1)) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(Y,n1) = Y,
inference(subst,[],[refute_0_237:[bind(X_42,$fot(Y))]]) ).
cnf(refute_0_355,plain,
add(inverse(inverse(X_24)),multiply(Y,n1)) = add(inverse(inverse(X_24)),multiply(Y,n1)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_24)),multiply(Y,n1)))]]) ).
cnf(refute_0_356,plain,
( multiply(Y,n1) != Y
| add(inverse(inverse(X_24)),multiply(Y,n1)) != add(inverse(inverse(X_24)),multiply(Y,n1))
| add(inverse(inverse(X_24)),multiply(Y,n1)) = add(inverse(inverse(X_24)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),add(inverse(inverse(X_24)),multiply(Y,n1))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_357,plain,
( multiply(Y,n1) != Y
| add(inverse(inverse(X_24)),multiply(Y,n1)) = add(inverse(inverse(X_24)),Y) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),add(inverse(inverse(X_24)),multiply(Y,n1))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
add(inverse(inverse(X_24)),multiply(Y,n1)) = add(inverse(inverse(X_24)),Y),
inference(resolve,[$cnf( $equal(multiply(Y,n1),Y) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
( add(inverse(inverse(X_24)),multiply(Y,n1)) != multiply(n1,add(Y,inverse(inverse(X_24))))
| add(inverse(inverse(X_24)),multiply(Y,n1)) != add(inverse(inverse(X_24)),Y)
| add(inverse(inverse(X_24)),Y) = multiply(n1,add(Y,inverse(inverse(X_24)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),multiply(n1,add(Y,inverse(inverse(X_24))))) ),[0],$fot(add(inverse(inverse(X_24)),Y))]]) ).
cnf(refute_0_360,plain,
( add(inverse(inverse(X_24)),multiply(Y,n1)) != multiply(n1,add(Y,inverse(inverse(X_24))))
| add(inverse(inverse(X_24)),Y) = multiply(n1,add(Y,inverse(inverse(X_24)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),add(inverse(inverse(X_24)),Y)) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
add(inverse(inverse(X_24)),Y) = multiply(n1,add(Y,inverse(inverse(X_24)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_24)),multiply(Y,n1)),multiply(n1,add(Y,inverse(inverse(X_24))))) )],[refute_0_353,refute_0_360]) ).
cnf(refute_0_362,plain,
( add(inverse(inverse(X_24)),Y) != multiply(n1,add(Y,inverse(inverse(X_24))))
| multiply(n1,add(Y,inverse(inverse(X_24)))) = add(inverse(inverse(X_24)),Y) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(add(inverse(inverse(X_24)),Y))),bind(Y0,$fot(multiply(n1,add(Y,inverse(inverse(X_24))))))]]) ).
cnf(refute_0_363,plain,
multiply(n1,add(Y,inverse(inverse(X_24)))) = add(inverse(inverse(X_24)),Y),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_24)),Y),multiply(n1,add(Y,inverse(inverse(X_24))))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(n1,add(X_20,inverse(inverse(X_20)))) = add(inverse(inverse(X_20)),X_20),
inference(subst,[],[refute_0_363:[bind(Y,$fot(X_20)),bind(X_24,$fot(X_20))]]) ).
cnf(refute_0_365,plain,
( multiply(n1,add(X_20,inverse(inverse(X_20)))) != add(inverse(inverse(X_20)),X_20)
| add(inverse(inverse(X_20)),X_20) != add(X_20,inverse(inverse(X_20)))
| multiply(n1,add(X_20,inverse(inverse(X_20)))) = add(X_20,inverse(inverse(X_20))) ),
inference(subst,[],[refute_0_73:[bind(X0,$fot(multiply(n1,add(X_20,inverse(inverse(X_20)))))),bind(Y0,$fot(add(inverse(inverse(X_20)),X_20))),bind(Z0,$fot(add(X_20,inverse(inverse(X_20)))))]]) ).
cnf(refute_0_366,plain,
( add(inverse(inverse(X_20)),X_20) != add(X_20,inverse(inverse(X_20)))
| multiply(n1,add(X_20,inverse(inverse(X_20)))) = add(X_20,inverse(inverse(X_20))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_20,inverse(inverse(X_20)))),add(inverse(inverse(X_20)),X_20)) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(n1,add(X_20,inverse(inverse(X_20)))) = add(X_20,inverse(inverse(X_20))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),X_20),add(X_20,inverse(inverse(X_20)))) )],[refute_0_337,refute_0_366]) ).
cnf(refute_0_368,plain,
( multiply(n1,add(X_20,inverse(inverse(X_20)))) != add(X_20,inverse(inverse(X_20)))
| inverse(inverse(X_20)) != multiply(n1,add(X_20,inverse(inverse(X_20))))
| inverse(inverse(X_20)) = add(X_20,inverse(inverse(X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_20)),multiply(n1,add(X_20,inverse(inverse(X_20))))) ),[1],$fot(add(X_20,inverse(inverse(X_20))))]]) ).
cnf(refute_0_369,plain,
( inverse(inverse(X_20)) != multiply(n1,add(X_20,inverse(inverse(X_20))))
| inverse(inverse(X_20)) = add(X_20,inverse(inverse(X_20))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_20,inverse(inverse(X_20)))),add(X_20,inverse(inverse(X_20)))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
inverse(inverse(X_20)) = add(X_20,inverse(inverse(X_20))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_20)),multiply(n1,add(X_20,inverse(inverse(X_20))))) )],[refute_0_336,refute_0_369]) ).
cnf(refute_0_371,plain,
inverse(inverse(X_36)) = add(X_36,inverse(inverse(X_36))),
inference(subst,[],[refute_0_370:[bind(X_20,$fot(X_36))]]) ).
cnf(refute_0_372,plain,
( inverse(inverse(X_36)) != add(X_36,inverse(inverse(X_36)))
| add(X_36,inverse(inverse(X_36))) = inverse(inverse(X_36)) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(inverse(inverse(X_36)))),bind(Y0,$fot(add(X_36,inverse(inverse(X_36)))))]]) ).
cnf(refute_0_373,plain,
add(X_36,inverse(inverse(X_36))) = inverse(inverse(X_36)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_36)),add(X_36,inverse(inverse(X_36)))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
( multiply(X_36,add(X_36,inverse(inverse(X_36)))) != X_36
| add(X_36,inverse(inverse(X_36))) != inverse(inverse(X_36))
| multiply(X_36,inverse(inverse(X_36))) = X_36 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_36,inverse(inverse(X_36)))),X_36) ),[0,1],$fot(inverse(inverse(X_36)))]]) ).
cnf(refute_0_375,plain,
( multiply(X_36,add(X_36,inverse(inverse(X_36)))) != X_36
| multiply(X_36,inverse(inverse(X_36))) = X_36 ),
inference(resolve,[$cnf( $equal(add(X_36,inverse(inverse(X_36))),inverse(inverse(X_36))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiply(X_36,inverse(inverse(X_36))) = X_36,
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_36,inverse(inverse(X_36)))),X_36) )],[refute_0_309,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(X_109,inverse(inverse(X_109))) = X_109,
inference(subst,[],[refute_0_376:[bind(X_36,$fot(X_109))]]) ).
cnf(refute_0_378,plain,
multiply(inverse(inverse(X_109)),X_109) = multiply(X_109,inverse(inverse(X_109))),
inference(subst,[],[refute_0_140:[bind(X,$fot(X_109)),bind(Y,$fot(inverse(inverse(X_109))))]]) ).
cnf(refute_0_379,plain,
( multiply(X_109,inverse(inverse(X_109))) != X_109
| multiply(inverse(inverse(X_109)),X_109) != multiply(X_109,inverse(inverse(X_109)))
| multiply(inverse(inverse(X_109)),X_109) = X_109 ),
inference(subst,[],[refute_0_73:[bind(X0,$fot(multiply(inverse(inverse(X_109)),X_109))),bind(Y0,$fot(multiply(X_109,inverse(inverse(X_109))))),bind(Z0,$fot(X_109))]]) ).
cnf(refute_0_380,plain,
( multiply(X_109,inverse(inverse(X_109))) != X_109
| multiply(inverse(inverse(X_109)),X_109) = X_109 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),X_109),multiply(X_109,inverse(inverse(X_109)))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(inverse(inverse(X_109)),X_109) = X_109,
inference(resolve,[$cnf( $equal(multiply(X_109,inverse(inverse(X_109))),X_109) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
( multiply(inverse(inverse(X_109)),X_109) != X_109
| inverse(inverse(X_109)) != multiply(inverse(inverse(X_109)),X_109)
| inverse(inverse(X_109)) = X_109 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_109)),multiply(inverse(inverse(X_109)),X_109)) ),[1],$fot(X_109)]]) ).
cnf(refute_0_383,plain,
( inverse(inverse(X_109)) != multiply(inverse(inverse(X_109)),X_109)
| inverse(inverse(X_109)) = X_109 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),X_109),X_109) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
( multiply(inverse(inverse(X_109)),n1) != multiply(inverse(inverse(X_109)),X_109)
| inverse(inverse(X_109)) = X_109 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),multiply(inverse(inverse(X_109)),X_109)) )],[refute_0_308,refute_0_383]) ).
cnf(refute_0_385,plain,
inverse(inverse(X_109)) = X_109,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),n1),multiply(inverse(inverse(X_109)),X_109)) )],[refute_0_301,refute_0_384]) ).
cnf(refute_0_386,plain,
( multiply(inverse(inverse(X_109)),add(inverse(X_109),X_123)) != multiply(inverse(inverse(X_109)),X_123)
| inverse(inverse(X_109)) != X_109
| multiply(X_109,add(inverse(X_109),X_123)) = multiply(inverse(inverse(X_109)),X_123) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_109)),add(inverse(X_109),X_123)),multiply(inverse(inverse(X_109)),X_123)) ),[0,0],$fot(X_109)]]) ).
cnf(refute_0_387,plain,
( multiply(inverse(inverse(X_109)),add(inverse(X_109),X_123)) != multiply(inverse(inverse(X_109)),X_123)
| multiply(X_109,add(inverse(X_109),X_123)) = multiply(inverse(inverse(X_109)),X_123) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),X_109) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(X_109,add(inverse(X_109),X_123)) = multiply(inverse(inverse(X_109)),X_123),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),add(inverse(X_109),X_123)),multiply(inverse(inverse(X_109)),X_123)) )],[refute_0_275,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(inverse(inverse(X_109)),X_123) = multiply(inverse(inverse(X_109)),X_123),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_109)),X_123))]]) ).
cnf(refute_0_390,plain,
( multiply(inverse(inverse(X_109)),X_123) != multiply(inverse(inverse(X_109)),X_123)
| inverse(inverse(X_109)) != X_109
| multiply(inverse(inverse(X_109)),X_123) = multiply(X_109,X_123) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_109)),X_123),multiply(inverse(inverse(X_109)),X_123)) ),[1,0],$fot(X_109)]]) ).
cnf(refute_0_391,plain,
( inverse(inverse(X_109)) != X_109
| multiply(inverse(inverse(X_109)),X_123) = multiply(X_109,X_123) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),X_123),multiply(inverse(inverse(X_109)),X_123)) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(inverse(inverse(X_109)),X_123) = multiply(X_109,X_123),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),X_109) )],[refute_0_385,refute_0_391]) ).
cnf(refute_0_393,plain,
( multiply(X_109,add(inverse(X_109),X_123)) != multiply(inverse(inverse(X_109)),X_123)
| multiply(inverse(inverse(X_109)),X_123) != multiply(X_109,X_123)
| multiply(X_109,add(inverse(X_109),X_123)) = multiply(X_109,X_123) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_109,add(inverse(X_109),X_123)),multiply(X_109,X_123)) ),[0],$fot(multiply(inverse(inverse(X_109)),X_123))]]) ).
cnf(refute_0_394,plain,
( multiply(X_109,add(inverse(X_109),X_123)) != multiply(inverse(inverse(X_109)),X_123)
| multiply(X_109,add(inverse(X_109),X_123)) = multiply(X_109,X_123) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),X_123),multiply(X_109,X_123)) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(X_109,add(inverse(X_109),X_123)) = multiply(X_109,X_123),
inference(resolve,[$cnf( $equal(multiply(X_109,add(inverse(X_109),X_123)),multiply(inverse(inverse(X_109)),X_123)) )],[refute_0_388,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(X_109,add(inverse(X_109),multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) = multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))),
inference(subst,[],[refute_0_395:[bind(X_123,$fot(multiply(X_435,multiply(inverse(inverse(X_109)),X_433))))]]) ).
cnf(refute_0_397,plain,
add(Z,X) = add(X,Z),
inference(subst,[],[refute_0_68:[bind(X_10,$fot(Z)),bind(X_11,$fot(X))]]) ).
cnf(refute_0_398,plain,
( add(X,multiply(Y,Z)) != multiply(add(Y,X),add(Z,X))
| add(Z,X) != add(X,Z)
| add(X,multiply(Y,Z)) = multiply(add(Y,X),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(Y,X),add(Z,X))) ),[1,1],$fot(add(X,Z))]]) ).
cnf(refute_0_399,plain,
( add(X,multiply(Y,Z)) != multiply(add(Y,X),add(Z,X))
| add(X,multiply(Y,Z)) = multiply(add(Y,X),add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(Z,X),add(X,Z)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
add(X,multiply(Y,Z)) = multiply(add(Y,X),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(Y,X),add(Z,X))) )],[add_multiply_property,refute_0_399]) ).
cnf(refute_0_401,plain,
add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) = multiply(add(X_195,X_194),add(X_194,multiply(inverse(X_194),X_12))),
inference(subst,[],[refute_0_400:[bind(X,$fot(X_194)),bind(Y,$fot(X_195)),bind(Z,$fot(multiply(inverse(X_194),X_12)))]]) ).
cnf(refute_0_402,plain,
add(inverse(X_11),multiply(X_11,X_12)) = multiply(add(X_11,inverse(X_11)),add(X_12,inverse(X_11))),
inference(subst,[],[add_multiply_property:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_403,plain,
add(X_11,inverse(X_11)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_404,plain,
( add(X_11,inverse(X_11)) != n1
| add(inverse(X_11),multiply(X_11,X_12)) != multiply(add(X_11,inverse(X_11)),add(X_12,inverse(X_11)))
| add(inverse(X_11),multiply(X_11,X_12)) = multiply(n1,add(X_12,inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_11),multiply(X_11,X_12)),multiply(add(X_11,inverse(X_11)),add(X_12,inverse(X_11)))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_405,plain,
( add(inverse(X_11),multiply(X_11,X_12)) != multiply(add(X_11,inverse(X_11)),add(X_12,inverse(X_11)))
| add(inverse(X_11),multiply(X_11,X_12)) = multiply(n1,add(X_12,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(add(X_11,inverse(X_11)),n1) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
add(inverse(X_11),multiply(X_11,X_12)) = multiply(n1,add(X_12,inverse(X_11))),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_11,X_12)),multiply(add(X_11,inverse(X_11)),add(X_12,inverse(X_11)))) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
multiply(n1,add(X_12,inverse(X_11))) = add(X_12,inverse(X_11)),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(add(X_12,inverse(X_11))))]]) ).
cnf(refute_0_408,plain,
( multiply(n1,add(X_12,inverse(X_11))) != add(X_12,inverse(X_11))
| add(inverse(X_11),multiply(X_11,X_12)) != multiply(n1,add(X_12,inverse(X_11)))
| add(inverse(X_11),multiply(X_11,X_12)) = add(X_12,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_11),multiply(X_11,X_12)),multiply(n1,add(X_12,inverse(X_11)))) ),[1],$fot(add(X_12,inverse(X_11)))]]) ).
cnf(refute_0_409,plain,
( add(inverse(X_11),multiply(X_11,X_12)) != multiply(n1,add(X_12,inverse(X_11)))
| add(inverse(X_11),multiply(X_11,X_12)) = add(X_12,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_12,inverse(X_11))),add(X_12,inverse(X_11))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
add(inverse(X_11),multiply(X_11,X_12)) = add(X_12,inverse(X_11)),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_11,X_12)),multiply(n1,add(X_12,inverse(X_11)))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
add(inverse(inverse(X_111)),multiply(inverse(X_111),X_12)) = add(X_12,inverse(inverse(X_111))),
inference(subst,[],[refute_0_410:[bind(X_11,$fot(inverse(X_111)))]]) ).
cnf(refute_0_412,plain,
inverse(inverse(X_111)) = X_111,
inference(subst,[],[refute_0_385:[bind(X_109,$fot(X_111))]]) ).
cnf(refute_0_413,plain,
( add(inverse(inverse(X_111)),multiply(inverse(X_111),X_12)) != add(X_12,inverse(inverse(X_111)))
| inverse(inverse(X_111)) != X_111
| add(X_111,multiply(inverse(X_111),X_12)) = add(X_12,inverse(inverse(X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_111)),multiply(inverse(X_111),X_12)),add(X_12,inverse(inverse(X_111)))) ),[0,0],$fot(X_111)]]) ).
cnf(refute_0_414,plain,
( add(inverse(inverse(X_111)),multiply(inverse(X_111),X_12)) != add(X_12,inverse(inverse(X_111)))
| add(X_111,multiply(inverse(X_111),X_12)) = add(X_12,inverse(inverse(X_111))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_111)),X_111) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
add(X_111,multiply(inverse(X_111),X_12)) = add(X_12,inverse(inverse(X_111))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_111)),multiply(inverse(X_111),X_12)),add(X_12,inverse(inverse(X_111)))) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
add(X_12,inverse(inverse(X_111))) = add(X_12,inverse(inverse(X_111))),
introduced(tautology,[refl,[$fot(add(X_12,inverse(inverse(X_111))))]]) ).
cnf(refute_0_417,plain,
( add(X_12,inverse(inverse(X_111))) != add(X_12,inverse(inverse(X_111)))
| inverse(inverse(X_111)) != X_111
| add(X_12,inverse(inverse(X_111))) = add(X_12,X_111) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_12,inverse(inverse(X_111))),add(X_12,inverse(inverse(X_111)))) ),[1,1],$fot(X_111)]]) ).
cnf(refute_0_418,plain,
( inverse(inverse(X_111)) != X_111
| add(X_12,inverse(inverse(X_111))) = add(X_12,X_111) ),
inference(resolve,[$cnf( $equal(add(X_12,inverse(inverse(X_111))),add(X_12,inverse(inverse(X_111)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
add(X_12,inverse(inverse(X_111))) = add(X_12,X_111),
inference(resolve,[$cnf( $equal(inverse(inverse(X_111)),X_111) )],[refute_0_412,refute_0_418]) ).
cnf(refute_0_420,plain,
( add(X_111,multiply(inverse(X_111),X_12)) != add(X_12,inverse(inverse(X_111)))
| add(X_12,inverse(inverse(X_111))) != add(X_12,X_111)
| add(X_111,multiply(inverse(X_111),X_12)) = add(X_12,X_111) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_111,multiply(inverse(X_111),X_12)),add(X_12,X_111)) ),[0],$fot(add(X_12,inverse(inverse(X_111))))]]) ).
cnf(refute_0_421,plain,
( add(X_111,multiply(inverse(X_111),X_12)) != add(X_12,inverse(inverse(X_111)))
| add(X_111,multiply(inverse(X_111),X_12)) = add(X_12,X_111) ),
inference(resolve,[$cnf( $equal(add(X_12,inverse(inverse(X_111))),add(X_12,X_111)) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
add(X_111,multiply(inverse(X_111),X_12)) = add(X_12,X_111),
inference(resolve,[$cnf( $equal(add(X_111,multiply(inverse(X_111),X_12)),add(X_12,inverse(inverse(X_111)))) )],[refute_0_415,refute_0_421]) ).
cnf(refute_0_423,plain,
add(X_194,multiply(inverse(X_194),X_12)) = add(X_12,X_194),
inference(subst,[],[refute_0_422:[bind(X_111,$fot(X_194))]]) ).
cnf(refute_0_424,plain,
( add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) != multiply(add(X_195,X_194),add(X_194,multiply(inverse(X_194),X_12)))
| add(X_194,multiply(inverse(X_194),X_12)) != add(X_12,X_194)
| add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) = multiply(add(X_195,X_194),add(X_12,X_194)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))),multiply(add(X_195,X_194),add(X_194,multiply(inverse(X_194),X_12)))) ),[1,1],$fot(add(X_12,X_194))]]) ).
cnf(refute_0_425,plain,
( add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) != multiply(add(X_195,X_194),add(X_194,multiply(inverse(X_194),X_12)))
| add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) = multiply(add(X_195,X_194),add(X_12,X_194)) ),
inference(resolve,[$cnf( $equal(add(X_194,multiply(inverse(X_194),X_12)),add(X_12,X_194)) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) = multiply(add(X_195,X_194),add(X_12,X_194)),
inference(resolve,[$cnf( $equal(add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))),multiply(add(X_195,X_194),add(X_194,multiply(inverse(X_194),X_12)))) )],[refute_0_401,refute_0_425]) ).
cnf(refute_0_427,plain,
( add(X,multiply(Y,Z)) != multiply(add(Y,X),add(Z,X))
| multiply(add(Y,X),add(Z,X)) = add(X,multiply(Y,Z)) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(add(X,multiply(Y,Z)))),bind(Y0,$fot(multiply(add(Y,X),add(Z,X))))]]) ).
cnf(refute_0_428,plain,
multiply(add(Y,X),add(Z,X)) = add(X,multiply(Y,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(Y,X),add(Z,X))) )],[add_multiply_property,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(add(X_195,X_194),add(X_12,X_194)) = add(X_194,multiply(X_195,X_12)),
inference(subst,[],[refute_0_428:[bind(X,$fot(X_194)),bind(Y,$fot(X_195)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_430,plain,
( multiply(add(X_195,X_194),add(X_12,X_194)) != add(X_194,multiply(X_195,X_12))
| add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) != multiply(add(X_195,X_194),add(X_12,X_194))
| add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) = add(X_194,multiply(X_195,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))),multiply(add(X_195,X_194),add(X_12,X_194))) ),[1],$fot(add(X_194,multiply(X_195,X_12)))]]) ).
cnf(refute_0_431,plain,
( add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) != multiply(add(X_195,X_194),add(X_12,X_194))
| add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) = add(X_194,multiply(X_195,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_195,X_194),add(X_12,X_194)),add(X_194,multiply(X_195,X_12))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))) = add(X_194,multiply(X_195,X_12)),
inference(resolve,[$cnf( $equal(add(X_194,multiply(X_195,multiply(inverse(X_194),X_12))),multiply(add(X_195,X_194),add(X_12,X_194))) )],[refute_0_426,refute_0_431]) ).
cnf(refute_0_433,plain,
add(inverse(X_109),multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) = add(inverse(X_109),multiply(X_435,X_433)),
inference(subst,[],[refute_0_432:[bind(X_12,$fot(X_433)),bind(X_194,$fot(inverse(X_109))),bind(X_195,$fot(X_435))]]) ).
cnf(refute_0_434,plain,
( multiply(X_109,add(inverse(X_109),multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) != multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))
| add(inverse(X_109),multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) != add(inverse(X_109),multiply(X_435,X_433))
| multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))) = multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_109,add(inverse(X_109),multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))),multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) ),[0,1],$fot(add(inverse(X_109),multiply(X_435,X_433)))]]) ).
cnf(refute_0_435,plain,
( multiply(X_109,add(inverse(X_109),multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) != multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))
| multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))) = multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_109),multiply(X_435,multiply(inverse(inverse(X_109)),X_433))),add(inverse(X_109),multiply(X_435,X_433))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))) = multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))),
inference(resolve,[$cnf( $equal(multiply(X_109,add(inverse(X_109),multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))),multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) )],[refute_0_396,refute_0_435]) ).
cnf(refute_0_437,plain,
multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))) = multiply(X_109,multiply(X_435,X_433)),
inference(subst,[],[refute_0_395:[bind(X_123,$fot(multiply(X_435,X_433)))]]) ).
cnf(refute_0_438,plain,
( multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))) != multiply(X_109,multiply(X_435,X_433))
| multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))) != multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))
| multiply(X_109,multiply(X_435,X_433)) = multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))),multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) ),[0],$fot(multiply(X_109,multiply(X_435,X_433)))]]) ).
cnf(refute_0_439,plain,
( multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))) != multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))
| multiply(X_109,multiply(X_435,X_433)) = multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) ),
inference(resolve,[$cnf( $equal(multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))),multiply(X_109,multiply(X_435,X_433))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(X_109,multiply(X_435,multiply(X_109,X_433))) = multiply(X_435,multiply(X_109,X_433)),
inference(subst,[],[refute_0_144:[bind(X_12,$fot(X_433)),bind(X_146,$fot(X_435)),bind(X_147,$fot(X_109))]]) ).
cnf(refute_0_441,plain,
multiply(inverse(inverse(X_109)),X_433) = multiply(inverse(inverse(X_109)),X_433),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_109)),X_433))]]) ).
cnf(refute_0_442,plain,
( multiply(inverse(inverse(X_109)),X_433) != multiply(inverse(inverse(X_109)),X_433)
| inverse(inverse(X_109)) != X_109
| multiply(inverse(inverse(X_109)),X_433) = multiply(X_109,X_433) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_109)),X_433),multiply(inverse(inverse(X_109)),X_433)) ),[1,0],$fot(X_109)]]) ).
cnf(refute_0_443,plain,
( inverse(inverse(X_109)) != X_109
| multiply(inverse(inverse(X_109)),X_433) = multiply(X_109,X_433) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),X_433),multiply(inverse(inverse(X_109)),X_433)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
multiply(inverse(inverse(X_109)),X_433) = multiply(X_109,X_433),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),X_109) )],[refute_0_385,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(X_435,multiply(inverse(inverse(X_109)),X_433)) = multiply(X_435,multiply(inverse(inverse(X_109)),X_433)),
introduced(tautology,[refl,[$fot(multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))]]) ).
cnf(refute_0_446,plain,
( multiply(X_435,multiply(inverse(inverse(X_109)),X_433)) != multiply(X_435,multiply(inverse(inverse(X_109)),X_433))
| multiply(inverse(inverse(X_109)),X_433) != multiply(X_109,X_433)
| multiply(X_435,multiply(inverse(inverse(X_109)),X_433)) = multiply(X_435,multiply(X_109,X_433)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_435,multiply(inverse(inverse(X_109)),X_433)),multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) ),[1,1],$fot(multiply(X_109,X_433))]]) ).
cnf(refute_0_447,plain,
( multiply(inverse(inverse(X_109)),X_433) != multiply(X_109,X_433)
| multiply(X_435,multiply(inverse(inverse(X_109)),X_433)) = multiply(X_435,multiply(X_109,X_433)) ),
inference(resolve,[$cnf( $equal(multiply(X_435,multiply(inverse(inverse(X_109)),X_433)),multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
multiply(X_435,multiply(inverse(inverse(X_109)),X_433)) = multiply(X_435,multiply(X_109,X_433)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_109)),X_433),multiply(X_109,X_433)) )],[refute_0_444,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) = multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))),
introduced(tautology,[refl,[$fot(multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))))]]) ).
cnf(refute_0_450,plain,
( multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) != multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))
| multiply(X_435,multiply(inverse(inverse(X_109)),X_433)) != multiply(X_435,multiply(X_109,X_433))
| multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) = multiply(X_109,multiply(X_435,multiply(X_109,X_433))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))),multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) ),[1,1],$fot(multiply(X_435,multiply(X_109,X_433)))]]) ).
cnf(refute_0_451,plain,
( multiply(X_435,multiply(inverse(inverse(X_109)),X_433)) != multiply(X_435,multiply(X_109,X_433))
| multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) = multiply(X_109,multiply(X_435,multiply(X_109,X_433))) ),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))),multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) = multiply(X_109,multiply(X_435,multiply(X_109,X_433))),
inference(resolve,[$cnf( $equal(multiply(X_435,multiply(inverse(inverse(X_109)),X_433)),multiply(X_435,multiply(X_109,X_433))) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
( multiply(X_109,multiply(X_435,multiply(X_109,X_433))) != multiply(X_435,multiply(X_109,X_433))
| multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) != multiply(X_109,multiply(X_435,multiply(X_109,X_433)))
| multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) = multiply(X_435,multiply(X_109,X_433)) ),
inference(subst,[],[refute_0_73:[bind(X0,$fot(multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))))),bind(Y0,$fot(multiply(X_109,multiply(X_435,multiply(X_109,X_433))))),bind(Z0,$fot(multiply(X_435,multiply(X_109,X_433))))]]) ).
cnf(refute_0_454,plain,
( multiply(X_109,multiply(X_435,multiply(X_109,X_433))) != multiply(X_435,multiply(X_109,X_433))
| multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) = multiply(X_435,multiply(X_109,X_433)) ),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))),multiply(X_109,multiply(X_435,multiply(X_109,X_433)))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) = multiply(X_435,multiply(X_109,X_433)),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(X_435,multiply(X_109,X_433))),multiply(X_435,multiply(X_109,X_433))) )],[refute_0_440,refute_0_454]) ).
cnf(refute_0_456,plain,
( multiply(X_109,multiply(X_435,X_433)) != multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))
| multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))) != multiply(X_435,multiply(X_109,X_433))
| multiply(X_109,multiply(X_435,X_433)) = multiply(X_435,multiply(X_109,X_433)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_109,multiply(X_435,X_433)),multiply(X_435,multiply(X_109,X_433))) ),[0],$fot(multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))))]]) ).
cnf(refute_0_457,plain,
( multiply(X_109,multiply(X_435,X_433)) != multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))
| multiply(X_109,multiply(X_435,X_433)) = multiply(X_435,multiply(X_109,X_433)) ),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433))),multiply(X_435,multiply(X_109,X_433))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
( multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))) != multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))
| multiply(X_109,multiply(X_435,X_433)) = multiply(X_435,multiply(X_109,X_433)) ),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(X_435,X_433)),multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) )],[refute_0_439,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(X_109,multiply(X_435,X_433)) = multiply(X_435,multiply(X_109,X_433)),
inference(resolve,[$cnf( $equal(multiply(X_109,add(inverse(X_109),multiply(X_435,X_433))),multiply(X_109,multiply(X_435,multiply(inverse(inverse(X_109)),X_433)))) )],[refute_0_436,refute_0_458]) ).
cnf(refute_0_460,plain,
( multiply(X_109,multiply(X_435,X_433)) != multiply(X_435,multiply(X_109,X_433))
| multiply(X_435,multiply(X_109,X_433)) = multiply(X_109,multiply(X_435,X_433)) ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(multiply(X_109,multiply(X_435,X_433)))),bind(Y0,$fot(multiply(X_435,multiply(X_109,X_433))))]]) ).
cnf(refute_0_461,plain,
multiply(X_435,multiply(X_109,X_433)) = multiply(X_109,multiply(X_435,X_433)),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(X_435,X_433)),multiply(X_435,multiply(X_109,X_433))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
multiply(c,multiply(a,b)) = multiply(a,multiply(c,b)),
inference(subst,[],[refute_0_461:[bind(X_109,$fot(a)),bind(X_433,$fot(b)),bind(X_435,$fot(c))]]) ).
cnf(refute_0_463,plain,
( multiply(a,multiply(c,b)) != multiply(a,multiply(b,c))
| multiply(c,multiply(a,b)) != multiply(a,multiply(c,b))
| multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)) ),
inference(subst,[],[refute_0_73:[bind(X0,$fot(multiply(c,multiply(a,b)))),bind(Y0,$fot(multiply(a,multiply(c,b)))),bind(Z0,$fot(multiply(a,multiply(b,c))))]]) ).
cnf(refute_0_464,plain,
( multiply(a,multiply(c,b)) != multiply(a,multiply(b,c))
| multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,b)),multiply(a,multiply(c,b))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(c,b)),multiply(a,multiply(b,c))) )],[refute_0_174,refute_0_464]) ).
cnf(refute_0_466,plain,
( multiply(a,multiply(b,c)) != multiply(a,multiply(b,c))
| multiply(c,multiply(a,b)) != multiply(a,multiply(b,c))
| multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(a,b)),multiply(a,multiply(b,c))) ),[1],$fot(multiply(a,multiply(b,c)))]]) ).
cnf(refute_0_467,plain,
( multiply(a,multiply(b,c)) != multiply(a,multiply(b,c))
| multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,b)),multiply(a,multiply(b,c))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,b)),multiply(a,multiply(b,c))) )],[refute_0_467,refute_0_28]) ).
cnf(refute_0_469,plain,
multiply(a,multiply(b,c)) = multiply(a,multiply(b,c)),
introduced(tautology,[refl,[$fot(multiply(a,multiply(b,c)))]]) ).
cnf(refute_0_470,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,c)),multiply(a,multiply(b,c))) )],[refute_0_469,refute_0_468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO022-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 23:08:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 32.75/32.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.75/32.92
% 32.75/32.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.77/32.96
%------------------------------------------------------------------------------