TSTP Solution File: RNG008-7 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : RNG008-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:35:43 EDT 2022
% Result : Unsatisfiable 2.37s 2.57s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 174
% Number of leaves : 639
% Syntax : Number of clauses : 2900 (1389 unt; 0 nHn;2003 RR)
% Number of literals : 5084 (5083 equ;2185 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 2617 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_additive_identity,axiom,
add(additive_identity,X) = X ).
cnf(right_additive_identity,axiom,
add(X,additive_identity) = X ).
cnf(right_additive_inverse,axiom,
add(X,additive_inverse(X)) = additive_identity ).
cnf(associativity_for_addition,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z) ).
cnf(commutativity_for_addition,axiom,
add(X,Y) = add(Y,X) ).
cnf(associativity_for_multiplication,axiom,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z) ).
cnf(distribute1,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ).
cnf(distribute2,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ).
cnf(boolean_ring,hypothesis,
multiply(X,X) = X ).
cnf(a_times_b_is_c,negated_conjecture,
multiply(a,b) = c ).
cnf(prove_commutativity,negated_conjecture,
multiply(b,a) != c ).
cnf(refute_0_0,plain,
multiply(add(X_49,X_51),X_51) = add(multiply(X_49,X_51),multiply(X_51,X_51)),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(X_51)),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_1,plain,
multiply(X_51,X_51) = X_51,
inference(subst,[],[boolean_ring:[bind(X,$fot(X_51))]]) ).
cnf(refute_0_2,plain,
( multiply(X_51,X_51) != X_51
| multiply(add(X_49,X_51),X_51) != add(multiply(X_49,X_51),multiply(X_51,X_51))
| multiply(add(X_49,X_51),X_51) = add(multiply(X_49,X_51),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,X_51),X_51),add(multiply(X_49,X_51),multiply(X_51,X_51))) ),[1,1],$fot(X_51)]]) ).
cnf(refute_0_3,plain,
( multiply(add(X_49,X_51),X_51) != add(multiply(X_49,X_51),multiply(X_51,X_51))
| multiply(add(X_49,X_51),X_51) = add(multiply(X_49,X_51),X_51) ),
inference(resolve,[$cnf( $equal(multiply(X_51,X_51),X_51) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(add(X_49,X_51),X_51) = add(multiply(X_49,X_51),X_51),
inference(resolve,[$cnf( $equal(multiply(add(X_49,X_51),X_51),add(multiply(X_49,X_51),multiply(X_51,X_51))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_6,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_7,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( add(X,Y) != add(Y,X)
| add(Y,X) = add(X,Y) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).
cnf(refute_0_9,plain,
add(Y,X) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_for_addition,refute_0_8]) ).
cnf(refute_0_10,plain,
add(multiply(X_49,X_51),X_51) = add(X_51,multiply(X_49,X_51)),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_51)),bind(Y,$fot(multiply(X_49,X_51)))]]) ).
cnf(refute_0_11,plain,
( multiply(add(X_49,X_51),X_51) != add(multiply(X_49,X_51),X_51)
| add(multiply(X_49,X_51),X_51) != add(X_51,multiply(X_49,X_51))
| multiply(add(X_49,X_51),X_51) = add(X_51,multiply(X_49,X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,X_51),X_51),add(X_51,multiply(X_49,X_51))) ),[0],$fot(add(multiply(X_49,X_51),X_51))]]) ).
cnf(refute_0_12,plain,
( multiply(add(X_49,X_51),X_51) != add(multiply(X_49,X_51),X_51)
| multiply(add(X_49,X_51),X_51) = add(X_51,multiply(X_49,X_51)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,X_51),X_51),add(X_51,multiply(X_49,X_51))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(add(X_49,X_51),X_51) = add(X_51,multiply(X_49,X_51)),
inference(resolve,[$cnf( $equal(multiply(add(X_49,X_51),X_51),add(multiply(X_49,X_51),X_51)) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(add(add(a,b),c),c) = add(c,multiply(add(a,b),c)),
inference(subst,[],[refute_0_13:[bind(X_49,$fot(add(a,b))),bind(X_51,$fot(c))]]) ).
cnf(refute_0_15,plain,
multiply(multiply(X_14,X_15),multiply(X_14,X_15)) = multiply(X_14,X_15),
inference(subst,[],[boolean_ring:[bind(X,$fot(multiply(X_14,X_15)))]]) ).
cnf(refute_0_16,plain,
multiply(X_14,multiply(X_15,multiply(X_14,X_15))) = multiply(multiply(X_14,X_15),multiply(X_14,X_15)),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(X_14)),bind(Y,$fot(X_15)),bind(Z,$fot(multiply(X_14,X_15)))]]) ).
cnf(refute_0_17,plain,
( multiply(X_14,multiply(X_15,multiply(X_14,X_15))) != multiply(multiply(X_14,X_15),multiply(X_14,X_15))
| multiply(multiply(X_14,X_15),multiply(X_14,X_15)) = multiply(X_14,multiply(X_15,multiply(X_14,X_15))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_14,multiply(X_15,multiply(X_14,X_15))))),bind(Y0,$fot(multiply(multiply(X_14,X_15),multiply(X_14,X_15))))]]) ).
cnf(refute_0_18,plain,
multiply(multiply(X_14,X_15),multiply(X_14,X_15)) = multiply(X_14,multiply(X_15,multiply(X_14,X_15))),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(X_15,multiply(X_14,X_15))),multiply(multiply(X_14,X_15),multiply(X_14,X_15))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( multiply(multiply(X_14,X_15),multiply(X_14,X_15)) != multiply(X_14,X_15)
| multiply(multiply(X_14,X_15),multiply(X_14,X_15)) != multiply(X_14,multiply(X_15,multiply(X_14,X_15)))
| multiply(X_14,multiply(X_15,multiply(X_14,X_15))) = multiply(X_14,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,X_15),multiply(X_14,X_15)),multiply(X_14,X_15)) ),[0],$fot(multiply(X_14,multiply(X_15,multiply(X_14,X_15))))]]) ).
cnf(refute_0_20,plain,
( multiply(multiply(X_14,X_15),multiply(X_14,X_15)) != multiply(X_14,X_15)
| multiply(X_14,multiply(X_15,multiply(X_14,X_15))) = multiply(X_14,X_15) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,X_15),multiply(X_14,X_15)),multiply(X_14,multiply(X_15,multiply(X_14,X_15)))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(X_14,multiply(X_15,multiply(X_14,X_15))) = multiply(X_14,X_15),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,X_15),multiply(X_14,X_15)),multiply(X_14,X_15)) )],[refute_0_15,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(add(b,c),multiply(c,multiply(add(b,c),c))) = multiply(add(b,c),c),
inference(subst,[],[refute_0_21:[bind(X_14,$fot(add(b,c))),bind(X_15,$fot(c))]]) ).
cnf(refute_0_23,plain,
multiply(c,multiply(b,Z)) = multiply(multiply(c,b),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(c)),bind(Y,$fot(b))]]) ).
cnf(refute_0_24,plain,
multiply(a,multiply(b,X_16)) = multiply(multiply(a,b),X_16),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(X_16))]]) ).
cnf(refute_0_25,plain,
( multiply(a,multiply(b,X_16)) != multiply(multiply(a,b),X_16)
| multiply(a,b) != c
| multiply(a,multiply(b,X_16)) = multiply(c,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(b,X_16)),multiply(multiply(a,b),X_16)) ),[1,0],$fot(c)]]) ).
cnf(refute_0_26,plain,
( multiply(a,multiply(b,X_16)) != multiply(multiply(a,b),X_16)
| multiply(a,multiply(b,X_16)) = multiply(c,X_16) ),
inference(resolve,[$cnf( $equal(multiply(a,b),c) )],[a_times_b_is_c,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(a,multiply(b,X_16)) = multiply(c,X_16),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,X_16)),multiply(multiply(a,b),X_16)) )],[refute_0_24,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(a,multiply(b,b)) = multiply(c,b),
inference(subst,[],[refute_0_27:[bind(X_16,$fot(b))]]) ).
cnf(refute_0_29,plain,
multiply(b,b) = b,
inference(subst,[],[boolean_ring:[bind(X,$fot(b))]]) ).
cnf(refute_0_30,plain,
( multiply(a,multiply(b,b)) != multiply(c,b)
| multiply(b,b) != b
| multiply(a,b) = multiply(c,b) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(b,b)),multiply(c,b)) ),[0,1],$fot(b)]]) ).
cnf(refute_0_31,plain,
( multiply(a,multiply(b,b)) != multiply(c,b)
| multiply(a,b) = multiply(c,b) ),
inference(resolve,[$cnf( $equal(multiply(b,b),b) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(a,b) = multiply(c,b),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,b)),multiply(c,b)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
( multiply(a,b) != multiply(c,b)
| multiply(a,b) != c
| c = multiply(c,b) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,b),multiply(c,b)) ),[0],$fot(c)]]) ).
cnf(refute_0_34,plain,
( multiply(a,b) != multiply(c,b)
| c = multiply(c,b) ),
inference(resolve,[$cnf( $equal(multiply(a,b),c) )],[a_times_b_is_c,refute_0_33]) ).
cnf(refute_0_35,plain,
c = multiply(c,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(c,b)) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
( c != multiply(c,b)
| multiply(c,b) = c ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(c)),bind(Y0,$fot(multiply(c,b)))]]) ).
cnf(refute_0_37,plain,
multiply(c,b) = c,
inference(resolve,[$cnf( $equal(c,multiply(c,b)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( multiply(c,multiply(b,Z)) != multiply(multiply(c,b),Z)
| multiply(c,b) != c
| multiply(c,multiply(b,Z)) = multiply(c,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(b,Z)),multiply(multiply(c,b),Z)) ),[1,0],$fot(c)]]) ).
cnf(refute_0_39,plain,
( multiply(c,multiply(b,Z)) != multiply(multiply(c,b),Z)
| multiply(c,multiply(b,Z)) = multiply(c,Z) ),
inference(resolve,[$cnf( $equal(multiply(c,b),c) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(c,multiply(b,Z)) = multiply(c,Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(b,Z)),multiply(multiply(c,b),Z)) )],[refute_0_23,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(c,multiply(b,multiply(X_20,multiply(b,X_20)))) = multiply(c,multiply(X_20,multiply(b,X_20))),
inference(subst,[],[refute_0_40:[bind(Z,$fot(multiply(X_20,multiply(b,X_20))))]]) ).
cnf(refute_0_42,plain,
multiply(b,multiply(X_20,multiply(b,X_20))) = multiply(b,X_20),
inference(subst,[],[refute_0_21:[bind(X_14,$fot(b)),bind(X_15,$fot(X_20))]]) ).
cnf(refute_0_43,plain,
( multiply(b,multiply(X_20,multiply(b,X_20))) != multiply(b,X_20)
| multiply(c,multiply(b,multiply(X_20,multiply(b,X_20)))) != multiply(c,multiply(X_20,multiply(b,X_20)))
| multiply(c,multiply(b,X_20)) = multiply(c,multiply(X_20,multiply(b,X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(b,multiply(X_20,multiply(b,X_20)))),multiply(c,multiply(X_20,multiply(b,X_20)))) ),[0,1],$fot(multiply(b,X_20))]]) ).
cnf(refute_0_44,plain,
( multiply(c,multiply(b,multiply(X_20,multiply(b,X_20)))) != multiply(c,multiply(X_20,multiply(b,X_20)))
| multiply(c,multiply(b,X_20)) = multiply(c,multiply(X_20,multiply(b,X_20))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(X_20,multiply(b,X_20))),multiply(b,X_20)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
multiply(c,multiply(b,X_20)) = multiply(c,multiply(X_20,multiply(b,X_20))),
inference(resolve,[$cnf( $equal(multiply(c,multiply(b,multiply(X_20,multiply(b,X_20)))),multiply(c,multiply(X_20,multiply(b,X_20)))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(c,multiply(b,X_20)) = multiply(c,X_20),
inference(subst,[],[refute_0_40:[bind(Z,$fot(X_20))]]) ).
cnf(refute_0_47,plain,
( multiply(c,multiply(b,X_20)) != multiply(c,X_20)
| multiply(c,multiply(b,X_20)) != multiply(c,multiply(X_20,multiply(b,X_20)))
| multiply(c,X_20) = multiply(c,multiply(X_20,multiply(b,X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(b,X_20)),multiply(c,multiply(X_20,multiply(b,X_20)))) ),[0],$fot(multiply(c,X_20))]]) ).
cnf(refute_0_48,plain,
( multiply(c,multiply(b,X_20)) != multiply(c,multiply(X_20,multiply(b,X_20)))
| multiply(c,X_20) = multiply(c,multiply(X_20,multiply(b,X_20))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(b,X_20)),multiply(c,X_20)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(c,X_20) = multiply(c,multiply(X_20,multiply(b,X_20))),
inference(resolve,[$cnf( $equal(multiply(c,multiply(b,X_20)),multiply(c,multiply(X_20,multiply(b,X_20)))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(c,multiply(X,Y)) = multiply(c,multiply(multiply(X,Y),multiply(b,multiply(X,Y)))),
inference(subst,[],[refute_0_49:[bind(X_20,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_51,plain,
multiply(X,multiply(Y,multiply(b,multiply(X,Y)))) = multiply(multiply(X,Y),multiply(b,multiply(X,Y))),
inference(subst,[],[associativity_for_multiplication:[bind(Z,$fot(multiply(b,multiply(X,Y))))]]) ).
cnf(refute_0_52,plain,
( multiply(X,multiply(Y,multiply(b,multiply(X,Y)))) != multiply(multiply(X,Y),multiply(b,multiply(X,Y)))
| multiply(multiply(X,Y),multiply(b,multiply(X,Y))) = multiply(X,multiply(Y,multiply(b,multiply(X,Y)))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,multiply(Y,multiply(b,multiply(X,Y)))))),bind(Y0,$fot(multiply(multiply(X,Y),multiply(b,multiply(X,Y)))))]]) ).
cnf(refute_0_53,plain,
multiply(multiply(X,Y),multiply(b,multiply(X,Y))) = multiply(X,multiply(Y,multiply(b,multiply(X,Y)))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(b,multiply(X,Y)))),multiply(multiply(X,Y),multiply(b,multiply(X,Y)))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( multiply(multiply(X,Y),multiply(b,multiply(X,Y))) != multiply(X,multiply(Y,multiply(b,multiply(X,Y))))
| multiply(c,multiply(X,Y)) != multiply(c,multiply(multiply(X,Y),multiply(b,multiply(X,Y))))
| multiply(c,multiply(X,Y)) = multiply(c,multiply(X,multiply(Y,multiply(b,multiply(X,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(X,Y)),multiply(c,multiply(multiply(X,Y),multiply(b,multiply(X,Y))))) ),[1,1],$fot(multiply(X,multiply(Y,multiply(b,multiply(X,Y)))))]]) ).
cnf(refute_0_55,plain,
( multiply(c,multiply(X,Y)) != multiply(c,multiply(multiply(X,Y),multiply(b,multiply(X,Y))))
| multiply(c,multiply(X,Y)) = multiply(c,multiply(X,multiply(Y,multiply(b,multiply(X,Y))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(b,multiply(X,Y))),multiply(X,multiply(Y,multiply(b,multiply(X,Y))))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(c,multiply(X,Y)) = multiply(c,multiply(X,multiply(Y,multiply(b,multiply(X,Y))))),
inference(resolve,[$cnf( $equal(multiply(c,multiply(X,Y)),multiply(c,multiply(multiply(X,Y),multiply(b,multiply(X,Y))))) )],[refute_0_50,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(c,multiply(a,multiply(add(b,X_16),X_16))) = multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))),
inference(subst,[],[refute_0_56:[bind(X,$fot(a)),bind(Y,$fot(multiply(add(b,X_16),X_16)))]]) ).
cnf(refute_0_58,plain,
multiply(a,add(X_28,multiply(b,X_16))) = add(multiply(a,X_28),multiply(a,multiply(b,X_16))),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(X_28)),bind(Z,$fot(multiply(b,X_16)))]]) ).
cnf(refute_0_59,plain,
( multiply(a,multiply(b,X_16)) != multiply(c,X_16)
| multiply(a,add(X_28,multiply(b,X_16))) != add(multiply(a,X_28),multiply(a,multiply(b,X_16)))
| multiply(a,add(X_28,multiply(b,X_16))) = add(multiply(a,X_28),multiply(c,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(X_28,multiply(b,X_16))),add(multiply(a,X_28),multiply(a,multiply(b,X_16)))) ),[1,1],$fot(multiply(c,X_16))]]) ).
cnf(refute_0_60,plain,
( multiply(a,add(X_28,multiply(b,X_16))) != add(multiply(a,X_28),multiply(a,multiply(b,X_16)))
| multiply(a,add(X_28,multiply(b,X_16))) = add(multiply(a,X_28),multiply(c,X_16)) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,X_16)),multiply(c,X_16)) )],[refute_0_27,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(a,add(X_28,multiply(b,X_16))) = add(multiply(a,X_28),multiply(c,X_16)),
inference(resolve,[$cnf( $equal(multiply(a,add(X_28,multiply(b,X_16))),add(multiply(a,X_28),multiply(a,multiply(b,X_16)))) )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(a,add(X_16,multiply(b,X_16))) = add(multiply(a,X_16),multiply(c,X_16)),
inference(subst,[],[refute_0_61:[bind(X_28,$fot(X_16))]]) ).
cnf(refute_0_63,plain,
multiply(add(a,c),X_16) = add(multiply(a,X_16),multiply(c,X_16)),
inference(subst,[],[distribute2:[bind(X,$fot(a)),bind(Y,$fot(c)),bind(Z,$fot(X_16))]]) ).
cnf(refute_0_64,plain,
( multiply(add(a,c),X_16) != add(multiply(a,X_16),multiply(c,X_16))
| add(multiply(a,X_16),multiply(c,X_16)) = multiply(add(a,c),X_16) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(a,c),X_16))),bind(Y0,$fot(add(multiply(a,X_16),multiply(c,X_16))))]]) ).
cnf(refute_0_65,plain,
add(multiply(a,X_16),multiply(c,X_16)) = multiply(add(a,c),X_16),
inference(resolve,[$cnf( $equal(multiply(add(a,c),X_16),add(multiply(a,X_16),multiply(c,X_16))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( multiply(a,add(X_16,multiply(b,X_16))) != add(multiply(a,X_16),multiply(c,X_16))
| add(multiply(a,X_16),multiply(c,X_16)) != multiply(add(a,c),X_16)
| multiply(a,add(X_16,multiply(b,X_16))) = multiply(add(a,c),X_16) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(X_16,multiply(b,X_16))),multiply(add(a,c),X_16)) ),[0],$fot(add(multiply(a,X_16),multiply(c,X_16)))]]) ).
cnf(refute_0_67,plain,
( multiply(a,add(X_16,multiply(b,X_16))) != add(multiply(a,X_16),multiply(c,X_16))
| multiply(a,add(X_16,multiply(b,X_16))) = multiply(add(a,c),X_16) ),
inference(resolve,[$cnf( $equal(add(multiply(a,X_16),multiply(c,X_16)),multiply(add(a,c),X_16)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(a,add(X_16,multiply(b,X_16))) = multiply(add(a,c),X_16),
inference(resolve,[$cnf( $equal(multiply(a,add(X_16,multiply(b,X_16))),add(multiply(a,X_16),multiply(c,X_16))) )],[refute_0_62,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(add(X_49,X_51),X_51) != add(X_51,multiply(X_49,X_51))
| add(X_51,multiply(X_49,X_51)) = multiply(add(X_49,X_51),X_51) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,X_51),X_51))),bind(Y0,$fot(add(X_51,multiply(X_49,X_51))))]]) ).
cnf(refute_0_70,plain,
add(X_51,multiply(X_49,X_51)) = multiply(add(X_49,X_51),X_51),
inference(resolve,[$cnf( $equal(multiply(add(X_49,X_51),X_51),add(X_51,multiply(X_49,X_51))) )],[refute_0_13,refute_0_69]) ).
cnf(refute_0_71,plain,
add(X_16,multiply(b,X_16)) = multiply(add(b,X_16),X_16),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(b)),bind(X_51,$fot(X_16))]]) ).
cnf(refute_0_72,plain,
multiply(a,add(X_16,multiply(b,X_16))) = multiply(a,add(X_16,multiply(b,X_16))),
introduced(tautology,[refl,[$fot(multiply(a,add(X_16,multiply(b,X_16))))]]) ).
cnf(refute_0_73,plain,
( multiply(a,add(X_16,multiply(b,X_16))) != multiply(a,add(X_16,multiply(b,X_16)))
| add(X_16,multiply(b,X_16)) != multiply(add(b,X_16),X_16)
| multiply(a,add(X_16,multiply(b,X_16))) = multiply(a,multiply(add(b,X_16),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(X_16,multiply(b,X_16))),multiply(a,add(X_16,multiply(b,X_16)))) ),[1,1],$fot(multiply(add(b,X_16),X_16))]]) ).
cnf(refute_0_74,plain,
( add(X_16,multiply(b,X_16)) != multiply(add(b,X_16),X_16)
| multiply(a,add(X_16,multiply(b,X_16))) = multiply(a,multiply(add(b,X_16),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(X_16,multiply(b,X_16))),multiply(a,add(X_16,multiply(b,X_16)))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(a,add(X_16,multiply(b,X_16))) = multiply(a,multiply(add(b,X_16),X_16)),
inference(resolve,[$cnf( $equal(add(X_16,multiply(b,X_16)),multiply(add(b,X_16),X_16)) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( multiply(a,add(X_16,multiply(b,X_16))) != multiply(add(a,c),X_16)
| multiply(a,add(X_16,multiply(b,X_16))) != multiply(a,multiply(add(b,X_16),X_16))
| multiply(a,multiply(add(b,X_16),X_16)) = multiply(add(a,c),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(X_16,multiply(b,X_16))),multiply(add(a,c),X_16)) ),[0],$fot(multiply(a,multiply(add(b,X_16),X_16)))]]) ).
cnf(refute_0_77,plain,
( multiply(a,add(X_16,multiply(b,X_16))) != multiply(add(a,c),X_16)
| multiply(a,multiply(add(b,X_16),X_16)) = multiply(add(a,c),X_16) ),
inference(resolve,[$cnf( $equal(multiply(a,add(X_16,multiply(b,X_16))),multiply(a,multiply(add(b,X_16),X_16))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(a,multiply(add(b,X_16),X_16)) = multiply(add(a,c),X_16),
inference(resolve,[$cnf( $equal(multiply(a,add(X_16,multiply(b,X_16))),multiply(add(a,c),X_16)) )],[refute_0_68,refute_0_77]) ).
cnf(refute_0_79,plain,
( multiply(a,multiply(add(b,X_16),X_16)) != multiply(add(a,c),X_16)
| multiply(c,multiply(a,multiply(add(b,X_16),X_16))) != multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))
| multiply(c,multiply(add(a,c),X_16)) = multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(a,multiply(add(b,X_16),X_16))),multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))) ),[0,1],$fot(multiply(add(a,c),X_16))]]) ).
cnf(refute_0_80,plain,
( multiply(c,multiply(a,multiply(add(b,X_16),X_16))) != multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))
| multiply(c,multiply(add(a,c),X_16)) = multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,X_16),X_16)),multiply(add(a,c),X_16)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(c,multiply(add(a,c),X_16)) = multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,multiply(add(b,X_16),X_16))),multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))) )],[refute_0_57,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(multiply(c,add(a,additive_inverse(c))),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(c)),bind(Y,$fot(add(a,additive_inverse(c))))]]) ).
cnf(refute_0_83,plain,
multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) = add(multiply(c,multiply(X_20,multiply(b,X_20))),multiply(c,X_29)),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(multiply(X_20,multiply(b,X_20)))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_84,plain,
( multiply(c,X_20) != multiply(c,multiply(X_20,multiply(b,X_20)))
| multiply(c,multiply(X_20,multiply(b,X_20))) = multiply(c,X_20) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,X_20))),bind(Y0,$fot(multiply(c,multiply(X_20,multiply(b,X_20)))))]]) ).
cnf(refute_0_85,plain,
multiply(c,multiply(X_20,multiply(b,X_20))) = multiply(c,X_20),
inference(resolve,[$cnf( $equal(multiply(c,X_20),multiply(c,multiply(X_20,multiply(b,X_20)))) )],[refute_0_49,refute_0_84]) ).
cnf(refute_0_86,plain,
( multiply(c,multiply(X_20,multiply(b,X_20))) != multiply(c,X_20)
| multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) != add(multiply(c,multiply(X_20,multiply(b,X_20))),multiply(c,X_29))
| multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) = add(multiply(c,X_20),multiply(c,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)),add(multiply(c,multiply(X_20,multiply(b,X_20))),multiply(c,X_29))) ),[1,0],$fot(multiply(c,X_20))]]) ).
cnf(refute_0_87,plain,
( multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) != add(multiply(c,multiply(X_20,multiply(b,X_20))),multiply(c,X_29))
| multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) = add(multiply(c,X_20),multiply(c,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(X_20,multiply(b,X_20))),multiply(c,X_20)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) = add(multiply(c,X_20),multiply(c,X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)),add(multiply(c,multiply(X_20,multiply(b,X_20))),multiply(c,X_29))) )],[refute_0_83,refute_0_87]) ).
cnf(refute_0_89,plain,
( multiply(X,add(Y,Z)) != add(multiply(X,Y),multiply(X,Z))
| add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Z))))]]) ).
cnf(refute_0_90,plain,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))) )],[distribute1,refute_0_89]) ).
cnf(refute_0_91,plain,
add(multiply(c,X_20),multiply(c,X_29)) = multiply(c,add(X_20,X_29)),
inference(subst,[],[refute_0_90:[bind(X,$fot(c)),bind(Y,$fot(X_20)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_92,plain,
( multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) != add(multiply(c,X_20),multiply(c,X_29))
| add(multiply(c,X_20),multiply(c,X_29)) != multiply(c,add(X_20,X_29))
| multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) = multiply(c,add(X_20,X_29)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)),multiply(c,add(X_20,X_29))) ),[0],$fot(add(multiply(c,X_20),multiply(c,X_29)))]]) ).
cnf(refute_0_93,plain,
( multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) != add(multiply(c,X_20),multiply(c,X_29))
| multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) = multiply(c,add(X_20,X_29)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,X_20),multiply(c,X_29)),multiply(c,add(X_20,X_29))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)) = multiply(c,add(X_20,X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(X_20,multiply(b,X_20)),X_29)),add(multiply(c,X_20),multiply(c,X_29))) )],[refute_0_88,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) = multiply(c,add(a,multiply(c,additive_inverse(c)))),
inference(subst,[],[refute_0_94:[bind(X_20,$fot(a)),bind(X_29,$fot(multiply(c,additive_inverse(c))))]]) ).
cnf(refute_0_96,plain,
multiply(X_29,add(X_28,X_29)) = add(multiply(X_29,X_28),multiply(X_29,X_29)),
inference(subst,[],[distribute1:[bind(X,$fot(X_29)),bind(Y,$fot(X_28)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_97,plain,
multiply(X_29,X_29) = X_29,
inference(subst,[],[boolean_ring:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_98,plain,
( multiply(X_29,X_29) != X_29
| multiply(X_29,add(X_28,X_29)) != add(multiply(X_29,X_28),multiply(X_29,X_29))
| multiply(X_29,add(X_28,X_29)) = add(multiply(X_29,X_28),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,add(X_28,X_29)),add(multiply(X_29,X_28),multiply(X_29,X_29))) ),[1,1],$fot(X_29)]]) ).
cnf(refute_0_99,plain,
( multiply(X_29,add(X_28,X_29)) != add(multiply(X_29,X_28),multiply(X_29,X_29))
| multiply(X_29,add(X_28,X_29)) = add(multiply(X_29,X_28),X_29) ),
inference(resolve,[$cnf( $equal(multiply(X_29,X_29),X_29) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(X_29,add(X_28,X_29)) = add(multiply(X_29,X_28),X_29),
inference(resolve,[$cnf( $equal(multiply(X_29,add(X_28,X_29)),add(multiply(X_29,X_28),multiply(X_29,X_29))) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
add(multiply(X_29,X_28),X_29) = add(X_29,multiply(X_29,X_28)),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_29)),bind(Y,$fot(multiply(X_29,X_28)))]]) ).
cnf(refute_0_102,plain,
( multiply(X_29,add(X_28,X_29)) != add(multiply(X_29,X_28),X_29)
| add(multiply(X_29,X_28),X_29) != add(X_29,multiply(X_29,X_28))
| multiply(X_29,add(X_28,X_29)) = add(X_29,multiply(X_29,X_28)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_29,add(X_28,X_29)),add(X_29,multiply(X_29,X_28))) ),[0],$fot(add(multiply(X_29,X_28),X_29))]]) ).
cnf(refute_0_103,plain,
( multiply(X_29,add(X_28,X_29)) != add(multiply(X_29,X_28),X_29)
| multiply(X_29,add(X_28,X_29)) = add(X_29,multiply(X_29,X_28)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_29,X_28),X_29),add(X_29,multiply(X_29,X_28))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(X_29,add(X_28,X_29)) = add(X_29,multiply(X_29,X_28)),
inference(resolve,[$cnf( $equal(multiply(X_29,add(X_28,X_29)),add(multiply(X_29,X_28),X_29)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(add(a,c),add(additive_inverse(c),add(a,c))) = add(add(a,c),multiply(add(a,c),additive_inverse(c))),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(additive_inverse(c))),bind(X_29,$fot(add(a,c)))]]) ).
cnf(refute_0_106,plain,
multiply(a,add(c,multiply(b,additive_inverse(c)))) = add(multiply(a,c),multiply(c,additive_inverse(c))),
inference(subst,[],[refute_0_61:[bind(X_16,$fot(additive_inverse(c))),bind(X_28,$fot(c))]]) ).
cnf(refute_0_107,plain,
multiply(add(X_49,a),additive_inverse(c)) = add(multiply(X_49,additive_inverse(c)),multiply(a,additive_inverse(c))),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(a)),bind(Z,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_108,plain,
add(X_6,add(X_7,additive_inverse(X_7))) = add(add(X_6,X_7),additive_inverse(X_7)),
inference(subst,[],[associativity_for_addition:[bind(X,$fot(X_6)),bind(Y,$fot(X_7)),bind(Z,$fot(additive_inverse(X_7)))]]) ).
cnf(refute_0_109,plain,
add(X_7,additive_inverse(X_7)) = additive_identity,
inference(subst,[],[right_additive_inverse:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_110,plain,
( add(X_6,add(X_7,additive_inverse(X_7))) != add(add(X_6,X_7),additive_inverse(X_7))
| add(X_7,additive_inverse(X_7)) != additive_identity
| add(X_6,additive_identity) = add(add(X_6,X_7),additive_inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_6,add(X_7,additive_inverse(X_7))),add(add(X_6,X_7),additive_inverse(X_7))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_111,plain,
( add(X_6,add(X_7,additive_inverse(X_7))) != add(add(X_6,X_7),additive_inverse(X_7))
| add(X_6,additive_identity) = add(add(X_6,X_7),additive_inverse(X_7)) ),
inference(resolve,[$cnf( $equal(add(X_7,additive_inverse(X_7)),additive_identity) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
add(X_6,additive_identity) = add(add(X_6,X_7),additive_inverse(X_7)),
inference(resolve,[$cnf( $equal(add(X_6,add(X_7,additive_inverse(X_7))),add(add(X_6,X_7),additive_inverse(X_7))) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
add(X_6,additive_identity) = X_6,
inference(subst,[],[right_additive_identity:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_114,plain,
( add(X_6,additive_identity) != X_6
| add(X_6,additive_identity) != add(add(X_6,X_7),additive_inverse(X_7))
| X_6 = add(add(X_6,X_7),additive_inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_6,additive_identity),add(add(X_6,X_7),additive_inverse(X_7))) ),[0],$fot(X_6)]]) ).
cnf(refute_0_115,plain,
( add(X_6,additive_identity) != add(add(X_6,X_7),additive_inverse(X_7))
| X_6 = add(add(X_6,X_7),additive_inverse(X_7)) ),
inference(resolve,[$cnf( $equal(add(X_6,additive_identity),X_6) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
add(X,add(X_6,X_7)) = add(add(X_6,X_7),X),
inference(subst,[],[commutativity_for_addition:[bind(Y,$fot(add(X_6,X_7)))]]) ).
cnf(refute_0_117,plain,
add(X_6,add(X_7,X)) = add(add(X_6,X_7),X),
inference(subst,[],[associativity_for_addition:[bind(X,$fot(X_6)),bind(Y,$fot(X_7)),bind(Z,$fot(X))]]) ).
cnf(refute_0_118,plain,
( add(X_6,add(X_7,X)) != add(add(X_6,X_7),X)
| add(add(X_6,X_7),X) = add(X_6,add(X_7,X)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_6,add(X_7,X)))),bind(Y0,$fot(add(add(X_6,X_7),X)))]]) ).
cnf(refute_0_119,plain,
add(add(X_6,X_7),X) = add(X_6,add(X_7,X)),
inference(resolve,[$cnf( $equal(add(X_6,add(X_7,X)),add(add(X_6,X_7),X)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( add(X,add(X_6,X_7)) != add(add(X_6,X_7),X)
| add(add(X_6,X_7),X) != add(X_6,add(X_7,X))
| add(X,add(X_6,X_7)) = add(X_6,add(X_7,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,add(X_6,X_7)),add(X_6,add(X_7,X))) ),[0],$fot(add(add(X_6,X_7),X))]]) ).
cnf(refute_0_121,plain,
( add(X,add(X_6,X_7)) != add(add(X_6,X_7),X)
| add(X,add(X_6,X_7)) = add(X_6,add(X_7,X)) ),
inference(resolve,[$cnf( $equal(add(add(X_6,X_7),X),add(X_6,add(X_7,X))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
add(X,add(X_6,X_7)) = add(X_6,add(X_7,X)),
inference(resolve,[$cnf( $equal(add(X,add(X_6,X_7)),add(add(X_6,X_7),X)) )],[refute_0_116,refute_0_121]) ).
cnf(refute_0_123,plain,
( add(X,add(X_6,X_7)) != add(X_6,add(X_7,X))
| add(X_6,add(X_7,X)) = add(X,add(X_6,X_7)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X,add(X_6,X_7)))),bind(Y0,$fot(add(X_6,add(X_7,X))))]]) ).
cnf(refute_0_124,plain,
add(X_6,add(X_7,X)) = add(X,add(X_6,X_7)),
inference(resolve,[$cnf( $equal(add(X,add(X_6,X_7)),add(X_6,add(X_7,X))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
add(additive_inverse(X_7),add(X_6,X_7)) = add(X_7,add(additive_inverse(X_7),X_6)),
inference(subst,[],[refute_0_124:[bind(X,$fot(X_7)),bind(X_6,$fot(additive_inverse(X_7))),bind(X_7,$fot(X_6))]]) ).
cnf(refute_0_126,plain,
add(add(X_6,X_7),additive_inverse(X_7)) = add(additive_inverse(X_7),add(X_6,X_7)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_inverse(X_7))),bind(Y,$fot(add(X_6,X_7)))]]) ).
cnf(refute_0_127,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_128,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_7,refute_0_127]) ).
cnf(refute_0_129,plain,
( add(add(X_6,X_7),additive_inverse(X_7)) != add(additive_inverse(X_7),add(X_6,X_7))
| add(additive_inverse(X_7),add(X_6,X_7)) != add(X_7,add(additive_inverse(X_7),X_6))
| add(add(X_6,X_7),additive_inverse(X_7)) = add(X_7,add(additive_inverse(X_7),X_6)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_6,X_7),additive_inverse(X_7)))),bind(Y0,$fot(add(additive_inverse(X_7),add(X_6,X_7)))),bind(Z0,$fot(add(X_7,add(additive_inverse(X_7),X_6))))]]) ).
cnf(refute_0_130,plain,
( add(additive_inverse(X_7),add(X_6,X_7)) != add(X_7,add(additive_inverse(X_7),X_6))
| add(add(X_6,X_7),additive_inverse(X_7)) = add(X_7,add(additive_inverse(X_7),X_6)) ),
inference(resolve,[$cnf( $equal(add(add(X_6,X_7),additive_inverse(X_7)),add(additive_inverse(X_7),add(X_6,X_7))) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
add(add(X_6,X_7),additive_inverse(X_7)) = add(X_7,add(additive_inverse(X_7),X_6)),
inference(resolve,[$cnf( $equal(add(additive_inverse(X_7),add(X_6,X_7)),add(X_7,add(additive_inverse(X_7),X_6))) )],[refute_0_125,refute_0_130]) ).
cnf(refute_0_132,plain,
( X_6 != add(add(X_6,X_7),additive_inverse(X_7))
| add(add(X_6,X_7),additive_inverse(X_7)) != add(X_7,add(additive_inverse(X_7),X_6))
| X_6 = add(X_7,add(additive_inverse(X_7),X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_6,add(X_7,add(additive_inverse(X_7),X_6))) ),[0],$fot(add(add(X_6,X_7),additive_inverse(X_7)))]]) ).
cnf(refute_0_133,plain,
( X_6 != add(add(X_6,X_7),additive_inverse(X_7))
| X_6 = add(X_7,add(additive_inverse(X_7),X_6)) ),
inference(resolve,[$cnf( $equal(add(add(X_6,X_7),additive_inverse(X_7)),add(X_7,add(additive_inverse(X_7),X_6))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
( add(X_6,additive_identity) != add(add(X_6,X_7),additive_inverse(X_7))
| X_6 = add(X_7,add(additive_inverse(X_7),X_6)) ),
inference(resolve,[$cnf( $equal(X_6,add(add(X_6,X_7),additive_inverse(X_7))) )],[refute_0_115,refute_0_133]) ).
cnf(refute_0_135,plain,
X_6 = add(X_7,add(additive_inverse(X_7),X_6)),
inference(resolve,[$cnf( $equal(add(X_6,additive_identity),add(add(X_6,X_7),additive_inverse(X_7))) )],[refute_0_112,refute_0_134]) ).
cnf(refute_0_136,plain,
X_9 = add(X_10,add(additive_inverse(X_10),X_9)),
inference(subst,[],[refute_0_135:[bind(X_6,$fot(X_9)),bind(X_7,$fot(X_10))]]) ).
cnf(refute_0_137,plain,
add(X_9,additive_inverse(X_10)) = add(additive_inverse(X_10),X_9),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(X_9)),bind(Y,$fot(additive_inverse(X_10)))]]) ).
cnf(refute_0_138,plain,
( add(X_9,additive_inverse(X_10)) != add(additive_inverse(X_10),X_9)
| add(additive_inverse(X_10),X_9) = add(X_9,additive_inverse(X_10)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_9,additive_inverse(X_10)))),bind(Y0,$fot(add(additive_inverse(X_10),X_9)))]]) ).
cnf(refute_0_139,plain,
add(additive_inverse(X_10),X_9) = add(X_9,additive_inverse(X_10)),
inference(resolve,[$cnf( $equal(add(X_9,additive_inverse(X_10)),add(additive_inverse(X_10),X_9)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( X_9 != add(X_10,add(additive_inverse(X_10),X_9))
| add(additive_inverse(X_10),X_9) != add(X_9,additive_inverse(X_10))
| X_9 = add(X_10,add(X_9,additive_inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(X_9,add(X_10,add(additive_inverse(X_10),X_9))) ),[1,1],$fot(add(X_9,additive_inverse(X_10)))]]) ).
cnf(refute_0_141,plain,
( X_9 != add(X_10,add(additive_inverse(X_10),X_9))
| X_9 = add(X_10,add(X_9,additive_inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(X_10),X_9),add(X_9,additive_inverse(X_10))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
X_9 = add(X_10,add(X_9,additive_inverse(X_10))),
inference(resolve,[$cnf( $equal(X_9,add(X_10,add(additive_inverse(X_10),X_9))) )],[refute_0_136,refute_0_141]) ).
cnf(refute_0_143,plain,
c = add(multiply(a,additive_inverse(c)),add(c,additive_inverse(multiply(a,additive_inverse(c))))),
inference(subst,[],[refute_0_142:[bind(X_10,$fot(multiply(a,additive_inverse(c)))),bind(X_9,$fot(c))]]) ).
cnf(refute_0_144,plain,
add(add(X_6,X_7),additive_inverse(add(X_6,X_7))) = additive_identity,
inference(subst,[],[right_additive_inverse:[bind(X,$fot(add(X_6,X_7)))]]) ).
cnf(refute_0_145,plain,
add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))) = add(add(X_6,X_7),additive_inverse(add(X_6,X_7))),
inference(subst,[],[associativity_for_addition:[bind(X,$fot(X_6)),bind(Y,$fot(X_7)),bind(Z,$fot(additive_inverse(add(X_6,X_7))))]]) ).
cnf(refute_0_146,plain,
( add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))) != add(add(X_6,X_7),additive_inverse(add(X_6,X_7)))
| add(add(X_6,X_7),additive_inverse(add(X_6,X_7))) = add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))))),bind(Y0,$fot(add(add(X_6,X_7),additive_inverse(add(X_6,X_7)))))]]) ).
cnf(refute_0_147,plain,
add(add(X_6,X_7),additive_inverse(add(X_6,X_7))) = add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))),
inference(resolve,[$cnf( $equal(add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))),add(add(X_6,X_7),additive_inverse(add(X_6,X_7)))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
( add(add(X_6,X_7),additive_inverse(add(X_6,X_7))) != add(X_6,add(X_7,additive_inverse(add(X_6,X_7))))
| add(add(X_6,X_7),additive_inverse(add(X_6,X_7))) != additive_identity
| add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_6,X_7),additive_inverse(add(X_6,X_7))),additive_identity) ),[0],$fot(add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))))]]) ).
cnf(refute_0_149,plain,
( add(add(X_6,X_7),additive_inverse(add(X_6,X_7))) != additive_identity
| add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(add(X_6,X_7),additive_inverse(add(X_6,X_7))),add(X_6,add(X_7,additive_inverse(add(X_6,X_7))))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
add(X_6,add(X_7,additive_inverse(add(X_6,X_7)))) = additive_identity,
inference(resolve,[$cnf( $equal(add(add(X_6,X_7),additive_inverse(add(X_6,X_7))),additive_identity) )],[refute_0_144,refute_0_149]) ).
cnf(refute_0_151,plain,
add(c,add(multiply(a,X_30),additive_inverse(add(c,multiply(a,X_30))))) = additive_identity,
inference(subst,[],[refute_0_150:[bind(X_6,$fot(c)),bind(X_7,$fot(multiply(a,X_30)))]]) ).
cnf(refute_0_152,plain,
multiply(a,add(X_28,b)) = add(multiply(a,X_28),multiply(a,b)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(X_28)),bind(Z,$fot(b))]]) ).
cnf(refute_0_153,plain,
( multiply(a,add(X_28,b)) != add(multiply(a,X_28),multiply(a,b))
| multiply(a,b) != c
| multiply(a,add(X_28,b)) = add(multiply(a,X_28),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(X_28,b)),add(multiply(a,X_28),multiply(a,b))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_154,plain,
( multiply(a,add(X_28,b)) != add(multiply(a,X_28),multiply(a,b))
| multiply(a,add(X_28,b)) = add(multiply(a,X_28),c) ),
inference(resolve,[$cnf( $equal(multiply(a,b),c) )],[a_times_b_is_c,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(a,add(X_28,b)) = add(multiply(a,X_28),c),
inference(resolve,[$cnf( $equal(multiply(a,add(X_28,b)),add(multiply(a,X_28),multiply(a,b))) )],[refute_0_152,refute_0_154]) ).
cnf(refute_0_156,plain,
add(multiply(a,X_28),c) = add(c,multiply(a,X_28)),
inference(subst,[],[refute_0_9:[bind(X,$fot(c)),bind(Y,$fot(multiply(a,X_28)))]]) ).
cnf(refute_0_157,plain,
( multiply(a,add(X_28,b)) != add(multiply(a,X_28),c)
| add(multiply(a,X_28),c) != add(c,multiply(a,X_28))
| multiply(a,add(X_28,b)) = add(c,multiply(a,X_28)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(X_28,b)),add(c,multiply(a,X_28))) ),[0],$fot(add(multiply(a,X_28),c))]]) ).
cnf(refute_0_158,plain,
( multiply(a,add(X_28,b)) != add(multiply(a,X_28),c)
| multiply(a,add(X_28,b)) = add(c,multiply(a,X_28)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,X_28),c),add(c,multiply(a,X_28))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(a,add(X_28,b)) = add(c,multiply(a,X_28)),
inference(resolve,[$cnf( $equal(multiply(a,add(X_28,b)),add(multiply(a,X_28),c)) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(a,add(X_30,b)) = add(c,multiply(a,X_30)),
inference(subst,[],[refute_0_159:[bind(X_28,$fot(X_30))]]) ).
cnf(refute_0_161,plain,
( multiply(a,add(X_30,b)) != add(c,multiply(a,X_30))
| add(c,multiply(a,X_30)) = multiply(a,add(X_30,b)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,add(X_30,b)))),bind(Y0,$fot(add(c,multiply(a,X_30))))]]) ).
cnf(refute_0_162,plain,
add(c,multiply(a,X_30)) = multiply(a,add(X_30,b)),
inference(resolve,[$cnf( $equal(multiply(a,add(X_30,b)),add(c,multiply(a,X_30))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( add(c,multiply(a,X_30)) != multiply(a,add(X_30,b))
| add(c,add(multiply(a,X_30),additive_inverse(add(c,multiply(a,X_30))))) != additive_identity
| add(c,add(multiply(a,X_30),additive_inverse(multiply(a,add(X_30,b))))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,X_30),additive_inverse(add(c,multiply(a,X_30))))),additive_identity) ),[0,1,1,0],$fot(multiply(a,add(X_30,b)))]]) ).
cnf(refute_0_164,plain,
( add(c,add(multiply(a,X_30),additive_inverse(add(c,multiply(a,X_30))))) != additive_identity
| add(c,add(multiply(a,X_30),additive_inverse(multiply(a,add(X_30,b))))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,multiply(a,X_30)),multiply(a,add(X_30,b))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
add(c,add(multiply(a,X_30),additive_inverse(multiply(a,add(X_30,b))))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,X_30),additive_inverse(add(c,multiply(a,X_30))))),additive_identity) )],[refute_0_151,refute_0_164]) ).
cnf(refute_0_166,plain,
add(c,add(multiply(a,add(X_40,b)),additive_inverse(multiply(a,add(add(X_40,b),b))))) = additive_identity,
inference(subst,[],[refute_0_165:[bind(X_30,$fot(add(X_40,b)))]]) ).
cnf(refute_0_167,plain,
multiply(a,add(c,X_29)) = add(multiply(a,c),multiply(a,X_29)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(c)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_168,plain,
multiply(X_15,multiply(X_15,X_16)) = multiply(multiply(X_15,X_15),X_16),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(X_15)),bind(Y,$fot(X_15)),bind(Z,$fot(X_16))]]) ).
cnf(refute_0_169,plain,
multiply(X_15,X_15) = X_15,
inference(subst,[],[boolean_ring:[bind(X,$fot(X_15))]]) ).
cnf(refute_0_170,plain,
( multiply(X_15,X_15) != X_15
| multiply(X_15,multiply(X_15,X_16)) != multiply(multiply(X_15,X_15),X_16)
| multiply(X_15,multiply(X_15,X_16)) = multiply(X_15,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,multiply(X_15,X_16)),multiply(multiply(X_15,X_15),X_16)) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_171,plain,
( multiply(X_15,multiply(X_15,X_16)) != multiply(multiply(X_15,X_15),X_16)
| multiply(X_15,multiply(X_15,X_16)) = multiply(X_15,X_16) ),
inference(resolve,[$cnf( $equal(multiply(X_15,X_15),X_15) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X_15,multiply(X_15,X_16)) = multiply(X_15,X_16),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(X_15,X_16)),multiply(multiply(X_15,X_15),X_16)) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(a,multiply(a,b)) = multiply(a,b),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(a)),bind(X_16,$fot(b))]]) ).
cnf(refute_0_174,plain,
( multiply(a,multiply(a,b)) != multiply(a,b)
| multiply(a,b) != c
| multiply(a,c) = multiply(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(a,b)),multiply(a,b)) ),[0,1],$fot(c)]]) ).
cnf(refute_0_175,plain,
( multiply(a,multiply(a,b)) != multiply(a,b)
| multiply(a,c) = multiply(a,b) ),
inference(resolve,[$cnf( $equal(multiply(a,b),c) )],[a_times_b_is_c,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(a,c) = multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,multiply(a,b)),multiply(a,b)) )],[refute_0_173,refute_0_175]) ).
cnf(refute_0_177,plain,
( multiply(a,b) != c
| multiply(a,c) != multiply(a,b)
| multiply(a,c) = c ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,c),multiply(a,b)) ),[1],$fot(c)]]) ).
cnf(refute_0_178,plain,
( multiply(a,c) != multiply(a,b)
| multiply(a,c) = c ),
inference(resolve,[$cnf( $equal(multiply(a,b),c) )],[a_times_b_is_c,refute_0_177]) ).
cnf(refute_0_179,plain,
multiply(a,c) = c,
inference(resolve,[$cnf( $equal(multiply(a,c),multiply(a,b)) )],[refute_0_176,refute_0_178]) ).
cnf(refute_0_180,plain,
( multiply(a,add(c,X_29)) != add(multiply(a,c),multiply(a,X_29))
| multiply(a,c) != c
| multiply(a,add(c,X_29)) = add(c,multiply(a,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(c,X_29)),add(multiply(a,c),multiply(a,X_29))) ),[1,0],$fot(c)]]) ).
cnf(refute_0_181,plain,
( multiply(a,add(c,X_29)) != add(multiply(a,c),multiply(a,X_29))
| multiply(a,add(c,X_29)) = add(c,multiply(a,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(a,c),c) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(a,add(c,X_29)) = add(c,multiply(a,X_29)),
inference(resolve,[$cnf( $equal(multiply(a,add(c,X_29)),add(multiply(a,c),multiply(a,X_29))) )],[refute_0_167,refute_0_181]) ).
cnf(refute_0_183,plain,
( multiply(a,add(X_28,b)) != add(c,multiply(a,X_28))
| add(c,multiply(a,X_28)) = multiply(a,add(X_28,b)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,add(X_28,b)))),bind(Y0,$fot(add(c,multiply(a,X_28))))]]) ).
cnf(refute_0_184,plain,
add(c,multiply(a,X_28)) = multiply(a,add(X_28,b)),
inference(resolve,[$cnf( $equal(multiply(a,add(X_28,b)),add(c,multiply(a,X_28))) )],[refute_0_159,refute_0_183]) ).
cnf(refute_0_185,plain,
add(c,multiply(a,X_29)) = multiply(a,add(X_29,b)),
inference(subst,[],[refute_0_184:[bind(X_28,$fot(X_29))]]) ).
cnf(refute_0_186,plain,
( multiply(a,add(c,X_29)) != add(c,multiply(a,X_29))
| add(c,multiply(a,X_29)) != multiply(a,add(X_29,b))
| multiply(a,add(c,X_29)) = multiply(a,add(X_29,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(c,X_29)),multiply(a,add(X_29,b))) ),[0],$fot(add(c,multiply(a,X_29)))]]) ).
cnf(refute_0_187,plain,
( multiply(a,add(c,X_29)) != add(c,multiply(a,X_29))
| multiply(a,add(c,X_29)) = multiply(a,add(X_29,b)) ),
inference(resolve,[$cnf( $equal(add(c,multiply(a,X_29)),multiply(a,add(X_29,b))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(a,add(c,X_29)) = multiply(a,add(X_29,b)),
inference(resolve,[$cnf( $equal(multiply(a,add(c,X_29)),add(c,multiply(a,X_29))) )],[refute_0_182,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(a,add(c,X_40)) = multiply(a,add(X_40,b)),
inference(subst,[],[refute_0_188:[bind(X_29,$fot(X_40))]]) ).
cnf(refute_0_190,plain,
( multiply(a,add(c,X_40)) != multiply(a,add(X_40,b))
| multiply(a,add(X_40,b)) = multiply(a,add(c,X_40)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,add(c,X_40)))),bind(Y0,$fot(multiply(a,add(X_40,b))))]]) ).
cnf(refute_0_191,plain,
multiply(a,add(X_40,b)) = multiply(a,add(c,X_40)),
inference(resolve,[$cnf( $equal(multiply(a,add(c,X_40)),multiply(a,add(X_40,b))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( multiply(a,add(X_40,b)) != multiply(a,add(c,X_40))
| add(c,add(multiply(a,add(X_40,b)),additive_inverse(multiply(a,add(add(X_40,b),b))))) != additive_identity
| add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,add(X_40,b)),additive_inverse(multiply(a,add(add(X_40,b),b))))),additive_identity) ),[0,1,0],$fot(multiply(a,add(c,X_40)))]]) ).
cnf(refute_0_193,plain,
( add(c,add(multiply(a,add(X_40,b)),additive_inverse(multiply(a,add(add(X_40,b),b))))) != additive_identity
| add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(a,add(X_40,b)),multiply(a,add(c,X_40))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,add(X_40,b)),additive_inverse(multiply(a,add(add(X_40,b),b))))),additive_identity) )],[refute_0_166,refute_0_193]) ).
cnf(refute_0_195,plain,
add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40))) = add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_inverse(multiply(a,X_40)))),bind(Y,$fot(multiply(a,add(c,X_40))))]]) ).
cnf(refute_0_196,plain,
multiply(a,add(add(b,b),Z)) = add(multiply(a,add(b,b)),multiply(a,Z)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(add(b,b)))]]) ).
cnf(refute_0_197,plain,
multiply(a,add(b,b)) = add(c,multiply(a,b)),
inference(subst,[],[refute_0_159:[bind(X_28,$fot(b))]]) ).
cnf(refute_0_198,plain,
( multiply(a,add(b,b)) != add(c,multiply(a,b))
| multiply(a,b) != c
| multiply(a,add(b,b)) = add(c,c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(b,b)),add(c,multiply(a,b))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_199,plain,
( multiply(a,add(b,b)) != add(c,multiply(a,b))
| multiply(a,add(b,b)) = add(c,c) ),
inference(resolve,[$cnf( $equal(multiply(a,b),c) )],[a_times_b_is_c,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(a,add(b,b)) = add(c,c),
inference(resolve,[$cnf( $equal(multiply(a,add(b,b)),add(c,multiply(a,b))) )],[refute_0_197,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(a,add(add(b,b),Z)) != add(multiply(a,add(b,b)),multiply(a,Z))
| multiply(a,add(b,b)) != add(c,c)
| multiply(a,add(add(b,b),Z)) = add(add(c,c),multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,b),Z)),add(multiply(a,add(b,b)),multiply(a,Z))) ),[1,0],$fot(add(c,c))]]) ).
cnf(refute_0_202,plain,
( multiply(a,add(add(b,b),Z)) != add(multiply(a,add(b,b)),multiply(a,Z))
| multiply(a,add(add(b,b),Z)) = add(add(c,c),multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,b)),add(c,c)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(a,add(add(b,b),Z)) = add(add(c,c),multiply(a,Z)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),Z)),add(multiply(a,add(b,b)),multiply(a,Z))) )],[refute_0_196,refute_0_202]) ).
cnf(refute_0_204,plain,
( add(X,add(Y,Z)) != add(add(X,Y),Z)
| add(add(X,Y),Z) = add(X,add(Y,Z)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X,add(Y,Z)))),bind(Y0,$fot(add(add(X,Y),Z)))]]) ).
cnf(refute_0_205,plain,
add(add(X,Y),Z) = add(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(add(X,add(Y,Z)),add(add(X,Y),Z)) )],[associativity_for_addition,refute_0_204]) ).
cnf(refute_0_206,plain,
add(add(b,b),Z) = add(b,add(b,Z)),
inference(subst,[],[refute_0_205:[bind(X,$fot(b)),bind(Y,$fot(b))]]) ).
cnf(refute_0_207,plain,
multiply(a,add(add(b,b),Z)) = multiply(a,add(add(b,b),Z)),
introduced(tautology,[refl,[$fot(multiply(a,add(add(b,b),Z)))]]) ).
cnf(refute_0_208,plain,
( multiply(a,add(add(b,b),Z)) != multiply(a,add(add(b,b),Z))
| add(add(b,b),Z) != add(b,add(b,Z))
| multiply(a,add(add(b,b),Z)) = multiply(a,add(b,add(b,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,b),Z)),multiply(a,add(add(b,b),Z))) ),[1,1],$fot(add(b,add(b,Z)))]]) ).
cnf(refute_0_209,plain,
( add(add(b,b),Z) != add(b,add(b,Z))
| multiply(a,add(add(b,b),Z)) = multiply(a,add(b,add(b,Z))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),Z)),multiply(a,add(add(b,b),Z))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(a,add(add(b,b),Z)) = multiply(a,add(b,add(b,Z))),
inference(resolve,[$cnf( $equal(add(add(b,b),Z),add(b,add(b,Z))) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
( multiply(a,add(add(b,b),Z)) != multiply(a,add(b,add(b,Z)))
| multiply(a,add(add(b,b),Z)) != add(add(c,c),multiply(a,Z))
| multiply(a,add(b,add(b,Z))) = add(add(c,c),multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,b),Z)),add(add(c,c),multiply(a,Z))) ),[0],$fot(multiply(a,add(b,add(b,Z))))]]) ).
cnf(refute_0_212,plain,
( multiply(a,add(add(b,b),Z)) != add(add(c,c),multiply(a,Z))
| multiply(a,add(b,add(b,Z))) = add(add(c,c),multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),Z)),multiply(a,add(b,add(b,Z)))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
add(b,X_30) = add(X_30,b),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(b)),bind(Y,$fot(X_30))]]) ).
cnf(refute_0_214,plain,
( add(b,X_30) != add(X_30,b)
| add(X_30,b) = add(b,X_30) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(b,X_30))),bind(Y0,$fot(add(X_30,b)))]]) ).
cnf(refute_0_215,plain,
add(X_30,b) = add(b,X_30),
inference(resolve,[$cnf( $equal(add(b,X_30),add(X_30,b)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
( multiply(a,add(X_30,b)) != add(c,multiply(a,X_30))
| add(X_30,b) != add(b,X_30)
| multiply(a,add(b,X_30)) = add(c,multiply(a,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(X_30,b)),add(c,multiply(a,X_30))) ),[0,1],$fot(add(b,X_30))]]) ).
cnf(refute_0_217,plain,
( multiply(a,add(X_30,b)) != add(c,multiply(a,X_30))
| multiply(a,add(b,X_30)) = add(c,multiply(a,X_30)) ),
inference(resolve,[$cnf( $equal(add(X_30,b),add(b,X_30)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(a,add(b,X_30)) = add(c,multiply(a,X_30)),
inference(resolve,[$cnf( $equal(multiply(a,add(X_30,b)),add(c,multiply(a,X_30))) )],[refute_0_160,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiply(a,add(b,X_30)) != add(c,multiply(a,X_30))
| add(c,multiply(a,X_30)) != multiply(a,add(X_30,b))
| multiply(a,add(b,X_30)) = multiply(a,add(X_30,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,X_30)),multiply(a,add(X_30,b))) ),[0],$fot(add(c,multiply(a,X_30)))]]) ).
cnf(refute_0_220,plain,
( multiply(a,add(b,X_30)) != add(c,multiply(a,X_30))
| multiply(a,add(b,X_30)) = multiply(a,add(X_30,b)) ),
inference(resolve,[$cnf( $equal(add(c,multiply(a,X_30)),multiply(a,add(X_30,b))) )],[refute_0_162,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(a,add(b,X_30)) = multiply(a,add(X_30,b)),
inference(resolve,[$cnf( $equal(multiply(a,add(b,X_30)),add(c,multiply(a,X_30))) )],[refute_0_218,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiply(a,add(b,X_30)) != multiply(a,add(X_30,b))
| multiply(a,add(X_30,b)) = multiply(a,add(b,X_30)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,add(b,X_30)))),bind(Y0,$fot(multiply(a,add(X_30,b))))]]) ).
cnf(refute_0_223,plain,
multiply(a,add(X_30,b)) = multiply(a,add(b,X_30)),
inference(resolve,[$cnf( $equal(multiply(a,add(b,X_30)),multiply(a,add(X_30,b))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(a,add(add(Z,b),b)) = multiply(a,add(b,add(Z,b))),
inference(subst,[],[refute_0_223:[bind(X_30,$fot(add(Z,b)))]]) ).
cnf(refute_0_225,plain,
add(c,multiply(a,add(Z,b))) = multiply(a,add(add(Z,b),b)),
inference(subst,[],[refute_0_184:[bind(X_28,$fot(add(Z,b)))]]) ).
cnf(refute_0_226,plain,
( multiply(a,add(add(Z,b),b)) != multiply(a,add(b,add(Z,b)))
| add(c,multiply(a,add(Z,b))) != multiply(a,add(add(Z,b),b))
| add(c,multiply(a,add(Z,b))) = multiply(a,add(b,add(Z,b))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(a,add(Z,b))))),bind(Y0,$fot(multiply(a,add(add(Z,b),b)))),bind(Z0,$fot(multiply(a,add(b,add(Z,b)))))]]) ).
cnf(refute_0_227,plain,
( multiply(a,add(add(Z,b),b)) != multiply(a,add(b,add(Z,b)))
| add(c,multiply(a,add(Z,b))) = multiply(a,add(b,add(Z,b))) ),
inference(resolve,[$cnf( $equal(add(c,multiply(a,add(Z,b))),multiply(a,add(add(Z,b),b))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
add(c,multiply(a,add(Z,b))) = multiply(a,add(b,add(Z,b))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(Z,b),b)),multiply(a,add(b,add(Z,b)))) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
add(c,multiply(a,Z)) = multiply(a,add(Z,b)),
inference(subst,[],[refute_0_184:[bind(X_28,$fot(Z))]]) ).
cnf(refute_0_230,plain,
add(c,add(c,multiply(a,Z))) = add(c,add(c,multiply(a,Z))),
introduced(tautology,[refl,[$fot(add(c,add(c,multiply(a,Z))))]]) ).
cnf(refute_0_231,plain,
( add(c,multiply(a,Z)) != multiply(a,add(Z,b))
| add(c,add(c,multiply(a,Z))) != add(c,add(c,multiply(a,Z)))
| add(c,add(c,multiply(a,Z))) = add(c,multiply(a,add(Z,b))) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(c,multiply(a,Z))),add(c,add(c,multiply(a,Z)))) ),[1,1],$fot(multiply(a,add(Z,b)))]]) ).
cnf(refute_0_232,plain,
( add(c,multiply(a,Z)) != multiply(a,add(Z,b))
| add(c,add(c,multiply(a,Z))) = add(c,multiply(a,add(Z,b))) ),
inference(resolve,[$cnf( $equal(add(c,add(c,multiply(a,Z))),add(c,add(c,multiply(a,Z)))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
add(c,add(c,multiply(a,Z))) = add(c,multiply(a,add(Z,b))),
inference(resolve,[$cnf( $equal(add(c,multiply(a,Z)),multiply(a,add(Z,b))) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( add(c,multiply(a,add(Z,b))) != multiply(a,add(b,add(Z,b)))
| add(c,add(c,multiply(a,Z))) != add(c,multiply(a,add(Z,b)))
| add(c,add(c,multiply(a,Z))) = multiply(a,add(b,add(Z,b))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(c,multiply(a,Z))))),bind(Y0,$fot(add(c,multiply(a,add(Z,b))))),bind(Z0,$fot(multiply(a,add(b,add(Z,b)))))]]) ).
cnf(refute_0_235,plain,
( add(c,multiply(a,add(Z,b))) != multiply(a,add(b,add(Z,b)))
| add(c,add(c,multiply(a,Z))) = multiply(a,add(b,add(Z,b))) ),
inference(resolve,[$cnf( $equal(add(c,add(c,multiply(a,Z))),add(c,multiply(a,add(Z,b)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
add(c,add(c,multiply(a,Z))) = multiply(a,add(b,add(Z,b))),
inference(resolve,[$cnf( $equal(add(c,multiply(a,add(Z,b))),multiply(a,add(b,add(Z,b)))) )],[refute_0_228,refute_0_235]) ).
cnf(refute_0_237,plain,
add(add(c,c),multiply(a,Z)) = add(c,add(c,multiply(a,Z))),
inference(subst,[],[refute_0_205:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(multiply(a,Z)))]]) ).
cnf(refute_0_238,plain,
( add(add(c,c),multiply(a,Z)) != add(c,add(c,multiply(a,Z)))
| add(c,add(c,multiply(a,Z))) != multiply(a,add(b,add(Z,b)))
| add(add(c,c),multiply(a,Z)) = multiply(a,add(b,add(Z,b))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(c,c),multiply(a,Z)))),bind(Y0,$fot(add(c,add(c,multiply(a,Z))))),bind(Z0,$fot(multiply(a,add(b,add(Z,b)))))]]) ).
cnf(refute_0_239,plain,
( add(c,add(c,multiply(a,Z))) != multiply(a,add(b,add(Z,b)))
| add(add(c,c),multiply(a,Z)) = multiply(a,add(b,add(Z,b))) ),
inference(resolve,[$cnf( $equal(add(add(c,c),multiply(a,Z)),add(c,add(c,multiply(a,Z)))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
add(add(c,c),multiply(a,Z)) = multiply(a,add(b,add(Z,b))),
inference(resolve,[$cnf( $equal(add(c,add(c,multiply(a,Z))),multiply(a,add(b,add(Z,b)))) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
( multiply(a,add(b,add(b,Z))) != add(add(c,c),multiply(a,Z))
| add(add(c,c),multiply(a,Z)) != multiply(a,add(b,add(Z,b)))
| multiply(a,add(b,add(b,Z))) = multiply(a,add(b,add(Z,b))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,add(b,Z))),multiply(a,add(b,add(Z,b)))) ),[0],$fot(add(add(c,c),multiply(a,Z)))]]) ).
cnf(refute_0_242,plain,
( multiply(a,add(b,add(b,Z))) != add(add(c,c),multiply(a,Z))
| multiply(a,add(b,add(b,Z))) = multiply(a,add(b,add(Z,b))) ),
inference(resolve,[$cnf( $equal(add(add(c,c),multiply(a,Z)),multiply(a,add(b,add(Z,b)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( multiply(a,add(add(b,b),Z)) != add(add(c,c),multiply(a,Z))
| multiply(a,add(b,add(b,Z))) = multiply(a,add(b,add(Z,b))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(b,Z))),add(add(c,c),multiply(a,Z))) )],[refute_0_212,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(a,add(b,add(b,Z))) = multiply(a,add(b,add(Z,b))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),Z)),add(add(c,c),multiply(a,Z))) )],[refute_0_203,refute_0_243]) ).
cnf(refute_0_245,plain,
add(c,add(multiply(a,add(b,add(b,b))),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = additive_identity,
inference(subst,[],[refute_0_165:[bind(X_30,$fot(add(b,add(b,b))))]]) ).
cnf(refute_0_246,plain,
multiply(a,add(add(b,b),b)) = add(c,multiply(a,add(b,b))),
inference(subst,[],[refute_0_159:[bind(X_28,$fot(add(b,b)))]]) ).
cnf(refute_0_247,plain,
( multiply(a,add(add(b,b),b)) != add(c,multiply(a,add(b,b)))
| multiply(a,add(b,b)) != add(c,c)
| multiply(a,add(add(b,b),b)) = add(c,add(c,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,b),b)),add(c,multiply(a,add(b,b)))) ),[1,1],$fot(add(c,c))]]) ).
cnf(refute_0_248,plain,
( multiply(a,add(add(b,b),b)) != add(c,multiply(a,add(b,b)))
| multiply(a,add(add(b,b),b)) = add(c,add(c,c)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,b)),add(c,c)) )],[refute_0_200,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(a,add(add(b,b),b)) = add(c,add(c,c)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),b)),add(c,multiply(a,add(b,b)))) )],[refute_0_246,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(a,add(add(b,b),b)) = multiply(a,add(b,add(b,b))),
inference(subst,[],[refute_0_223:[bind(X_30,$fot(add(b,b)))]]) ).
cnf(refute_0_251,plain,
( multiply(a,add(add(b,b),b)) != multiply(a,add(b,add(b,b)))
| multiply(a,add(add(b,b),b)) != add(c,add(c,c))
| multiply(a,add(b,add(b,b))) = add(c,add(c,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,b),b)),add(c,add(c,c))) ),[0],$fot(multiply(a,add(b,add(b,b))))]]) ).
cnf(refute_0_252,plain,
( multiply(a,add(add(b,b),b)) != add(c,add(c,c))
| multiply(a,add(b,add(b,b))) = add(c,add(c,c)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),b)),multiply(a,add(b,add(b,b)))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(a,add(b,add(b,b))) = add(c,add(c,c)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),b)),add(c,add(c,c))) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
( multiply(a,add(b,add(b,b))) != add(c,add(c,c))
| add(c,add(multiply(a,add(b,add(b,b))),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != additive_identity
| add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,add(b,add(b,b))),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),additive_identity) ),[0,1,0],$fot(add(c,add(c,c)))]]) ).
cnf(refute_0_255,plain,
( add(c,add(multiply(a,add(b,add(b,b))),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != additive_identity
| add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(b,b))),add(c,add(c,c))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,add(b,add(b,b))),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),additive_identity) )],[refute_0_245,refute_0_255]) ).
cnf(refute_0_257,plain,
add(additive_identity,c) = c,
inference(subst,[],[left_additive_identity:[bind(X,$fot(c))]]) ).
cnf(refute_0_258,plain,
add(c,additive_identity) = add(additive_identity,c),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(c))]]) ).
cnf(refute_0_259,plain,
( add(additive_identity,c) != c
| add(c,additive_identity) != add(additive_identity,c)
| add(c,additive_identity) = c ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,additive_identity))),bind(Y0,$fot(add(additive_identity,c))),bind(Z0,$fot(c))]]) ).
cnf(refute_0_260,plain,
( add(additive_identity,c) != c
| add(c,additive_identity) = c ),
inference(resolve,[$cnf( $equal(add(c,additive_identity),add(additive_identity,c)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
add(c,additive_identity) = c,
inference(resolve,[$cnf( $equal(add(additive_identity,c),c) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
add(X_25,add(X_26,additive_inverse(add(X_25,X_26)))) = additive_identity,
inference(subst,[],[refute_0_150:[bind(X_6,$fot(X_25)),bind(X_7,$fot(X_26))]]) ).
cnf(refute_0_263,plain,
add(X_26,X_25) = add(X_25,X_26),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(X_26)),bind(Y,$fot(X_25))]]) ).
cnf(refute_0_264,plain,
( add(X_26,X_25) != add(X_25,X_26)
| add(X_25,X_26) = add(X_26,X_25) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_26,X_25))),bind(Y0,$fot(add(X_25,X_26)))]]) ).
cnf(refute_0_265,plain,
add(X_25,X_26) = add(X_26,X_25),
inference(resolve,[$cnf( $equal(add(X_26,X_25),add(X_25,X_26)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
( add(X_25,X_26) != add(X_26,X_25)
| add(X_25,add(X_26,additive_inverse(add(X_25,X_26)))) != additive_identity
| add(X_25,add(X_26,additive_inverse(add(X_26,X_25)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(X_25,add(X_26,additive_inverse(add(X_25,X_26)))),additive_identity) ),[0,1,1,0],$fot(add(X_26,X_25))]]) ).
cnf(refute_0_267,plain,
( add(X_25,add(X_26,additive_inverse(add(X_25,X_26)))) != additive_identity
| add(X_25,add(X_26,additive_inverse(add(X_26,X_25)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(X_25,X_26),add(X_26,X_25)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
add(X_25,add(X_26,additive_inverse(add(X_26,X_25)))) = additive_identity,
inference(resolve,[$cnf( $equal(add(X_25,add(X_26,additive_inverse(add(X_25,X_26)))),additive_identity) )],[refute_0_262,refute_0_267]) ).
cnf(refute_0_269,plain,
add(c,add(c,additive_inverse(add(c,c)))) = additive_identity,
inference(subst,[],[refute_0_268:[bind(X_25,$fot(c)),bind(X_26,$fot(c))]]) ).
cnf(refute_0_270,plain,
multiply(a,add(add(b,add(b,b)),b)) = add(c,multiply(a,add(b,add(b,b)))),
inference(subst,[],[refute_0_159:[bind(X_28,$fot(add(b,add(b,b))))]]) ).
cnf(refute_0_271,plain,
( multiply(a,add(add(b,add(b,b)),b)) != add(c,multiply(a,add(b,add(b,b))))
| multiply(a,add(b,add(b,b))) != add(c,add(c,c))
| multiply(a,add(add(b,add(b,b)),b)) = add(c,add(c,add(c,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,add(b,b)),b)),add(c,multiply(a,add(b,add(b,b))))) ),[1,1],$fot(add(c,add(c,c)))]]) ).
cnf(refute_0_272,plain,
( multiply(a,add(add(b,add(b,b)),b)) != add(c,multiply(a,add(b,add(b,b))))
| multiply(a,add(add(b,add(b,b)),b)) = add(c,add(c,add(c,c))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(b,b))),add(c,add(c,c))) )],[refute_0_253,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(a,add(add(b,add(b,b)),b)) = add(c,add(c,add(c,c))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,add(b,b)),b)),add(c,multiply(a,add(b,add(b,b))))) )],[refute_0_270,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(a,add(add(b,add(b,b)),b)) = multiply(a,add(b,add(b,add(b,b)))),
inference(subst,[],[refute_0_223:[bind(X_30,$fot(add(b,add(b,b))))]]) ).
cnf(refute_0_275,plain,
( multiply(a,add(add(b,add(b,b)),b)) != multiply(a,add(b,add(b,add(b,b))))
| multiply(a,add(add(b,add(b,b)),b)) != add(c,add(c,add(c,c)))
| multiply(a,add(b,add(b,add(b,b)))) = add(c,add(c,add(c,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,add(b,b)),b)),add(c,add(c,add(c,c)))) ),[0],$fot(multiply(a,add(b,add(b,add(b,b)))))]]) ).
cnf(refute_0_276,plain,
( multiply(a,add(add(b,add(b,b)),b)) != add(c,add(c,add(c,c)))
| multiply(a,add(b,add(b,add(b,b)))) = add(c,add(c,add(c,c))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,add(b,b)),b)),multiply(a,add(b,add(b,add(b,b))))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(a,add(b,add(b,add(b,b)))) = add(c,add(c,add(c,c))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,add(b,b)),b)),add(c,add(c,add(c,c)))) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(add(c,c),add(b,add(c,c))) = add(add(c,c),multiply(add(c,c),b)),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(b)),bind(X_29,$fot(add(c,c)))]]) ).
cnf(refute_0_279,plain,
multiply(c,add(b,b)) = add(multiply(c,b),multiply(c,b)),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(b)),bind(Z,$fot(b))]]) ).
cnf(refute_0_280,plain,
multiply(c,add(b,c)) = add(c,multiply(c,b)),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(b)),bind(X_29,$fot(c))]]) ).
cnf(refute_0_281,plain,
( multiply(c,add(b,c)) != add(c,multiply(c,b))
| multiply(c,b) != c
| multiply(c,add(b,c)) = add(c,c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,c)),add(c,multiply(c,b))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_282,plain,
( multiply(c,add(b,c)) != add(c,multiply(c,b))
| multiply(c,add(b,c)) = add(c,c) ),
inference(resolve,[$cnf( $equal(multiply(c,b),c) )],[refute_0_37,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(c,add(b,c)) = add(c,c),
inference(resolve,[$cnf( $equal(multiply(c,add(b,c)),add(c,multiply(c,b))) )],[refute_0_280,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(c,add(X_28,b)) = add(multiply(c,X_28),multiply(c,b)),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(X_28)),bind(Z,$fot(b))]]) ).
cnf(refute_0_285,plain,
( multiply(c,add(X_28,b)) != add(multiply(c,X_28),multiply(c,b))
| multiply(c,b) != c
| multiply(c,add(X_28,b)) = add(multiply(c,X_28),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(X_28,b)),add(multiply(c,X_28),multiply(c,b))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_286,plain,
( multiply(c,add(X_28,b)) != add(multiply(c,X_28),multiply(c,b))
| multiply(c,add(X_28,b)) = add(multiply(c,X_28),c) ),
inference(resolve,[$cnf( $equal(multiply(c,b),c) )],[refute_0_37,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(c,add(X_28,b)) = add(multiply(c,X_28),c),
inference(resolve,[$cnf( $equal(multiply(c,add(X_28,b)),add(multiply(c,X_28),multiply(c,b))) )],[refute_0_284,refute_0_286]) ).
cnf(refute_0_288,plain,
add(multiply(c,X_28),c) = add(c,multiply(c,X_28)),
inference(subst,[],[refute_0_9:[bind(X,$fot(c)),bind(Y,$fot(multiply(c,X_28)))]]) ).
cnf(refute_0_289,plain,
( multiply(c,add(X_28,b)) != add(multiply(c,X_28),c)
| add(multiply(c,X_28),c) != add(c,multiply(c,X_28))
| multiply(c,add(X_28,b)) = add(c,multiply(c,X_28)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(X_28,b)),add(c,multiply(c,X_28))) ),[0],$fot(add(multiply(c,X_28),c))]]) ).
cnf(refute_0_290,plain,
( multiply(c,add(X_28,b)) != add(multiply(c,X_28),c)
| multiply(c,add(X_28,b)) = add(c,multiply(c,X_28)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,X_28),c),add(c,multiply(c,X_28))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
multiply(c,add(X_28,b)) = add(c,multiply(c,X_28)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_28,b)),add(multiply(c,X_28),c)) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
( multiply(X_29,add(X_28,X_29)) != add(X_29,multiply(X_29,X_28))
| add(X_29,multiply(X_29,X_28)) = multiply(X_29,add(X_28,X_29)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_29,add(X_28,X_29)))),bind(Y0,$fot(add(X_29,multiply(X_29,X_28))))]]) ).
cnf(refute_0_293,plain,
add(X_29,multiply(X_29,X_28)) = multiply(X_29,add(X_28,X_29)),
inference(resolve,[$cnf( $equal(multiply(X_29,add(X_28,X_29)),add(X_29,multiply(X_29,X_28))) )],[refute_0_104,refute_0_292]) ).
cnf(refute_0_294,plain,
add(c,multiply(c,X_28)) = multiply(c,add(X_28,c)),
inference(subst,[],[refute_0_293:[bind(X_29,$fot(c))]]) ).
cnf(refute_0_295,plain,
( multiply(c,add(X_28,b)) != add(c,multiply(c,X_28))
| add(c,multiply(c,X_28)) != multiply(c,add(X_28,c))
| multiply(c,add(X_28,b)) = multiply(c,add(X_28,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(X_28,b)),multiply(c,add(X_28,c))) ),[0],$fot(add(c,multiply(c,X_28)))]]) ).
cnf(refute_0_296,plain,
( multiply(c,add(X_28,b)) != add(c,multiply(c,X_28))
| multiply(c,add(X_28,b)) = multiply(c,add(X_28,c)) ),
inference(resolve,[$cnf( $equal(add(c,multiply(c,X_28)),multiply(c,add(X_28,c))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(c,add(X_28,b)) = multiply(c,add(X_28,c)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_28,b)),add(c,multiply(c,X_28))) )],[refute_0_291,refute_0_296]) ).
cnf(refute_0_298,plain,
( multiply(c,add(X_28,b)) != multiply(c,add(X_28,c))
| multiply(c,add(X_28,c)) = multiply(c,add(X_28,b)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(X_28,b)))),bind(Y0,$fot(multiply(c,add(X_28,c))))]]) ).
cnf(refute_0_299,plain,
multiply(c,add(X_28,c)) = multiply(c,add(X_28,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_28,b)),multiply(c,add(X_28,c))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(c,add(b,c)) = multiply(c,add(b,b)),
inference(subst,[],[refute_0_299:[bind(X_28,$fot(b))]]) ).
cnf(refute_0_301,plain,
( multiply(c,add(b,c)) != multiply(c,add(b,b))
| multiply(c,add(b,c)) != add(c,c)
| multiply(c,add(b,b)) = add(c,c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,c)),add(c,c)) ),[0],$fot(multiply(c,add(b,b)))]]) ).
cnf(refute_0_302,plain,
( multiply(c,add(b,c)) != add(c,c)
| multiply(c,add(b,b)) = add(c,c) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,c)),multiply(c,add(b,b))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(c,add(b,b)) = add(c,c),
inference(resolve,[$cnf( $equal(multiply(c,add(b,c)),add(c,c)) )],[refute_0_283,refute_0_302]) ).
cnf(refute_0_304,plain,
( multiply(c,add(b,b)) != add(multiply(c,b),multiply(c,b))
| multiply(c,add(b,b)) != add(c,c)
| add(c,c) = add(multiply(c,b),multiply(c,b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,b)),add(multiply(c,b),multiply(c,b))) ),[0],$fot(add(c,c))]]) ).
cnf(refute_0_305,plain,
( multiply(c,add(b,b)) != add(multiply(c,b),multiply(c,b))
| add(c,c) = add(multiply(c,b),multiply(c,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,b)),add(c,c)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
add(c,c) = add(multiply(c,b),multiply(c,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(b,b)),add(multiply(c,b),multiply(c,b))) )],[refute_0_279,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiply(add(X,Y),Z) != add(multiply(X,Z),multiply(Y,Z))
| add(multiply(X,Z),multiply(Y,Z)) = multiply(add(X,Y),Z) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X,Y),Z))),bind(Y0,$fot(add(multiply(X,Z),multiply(Y,Z))))]]) ).
cnf(refute_0_308,plain,
add(multiply(X,Z),multiply(Y,Z)) = multiply(add(X,Y),Z),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))) )],[distribute2,refute_0_307]) ).
cnf(refute_0_309,plain,
add(multiply(c,b),multiply(c,b)) = multiply(add(c,c),b),
inference(subst,[],[refute_0_308:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(b))]]) ).
cnf(refute_0_310,plain,
( add(multiply(c,b),multiply(c,b)) != multiply(add(c,c),b)
| add(c,c) != add(multiply(c,b),multiply(c,b))
| add(c,c) = multiply(add(c,c),b) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,c),add(multiply(c,b),multiply(c,b))) ),[1],$fot(multiply(add(c,c),b))]]) ).
cnf(refute_0_311,plain,
( add(c,c) != add(multiply(c,b),multiply(c,b))
| add(c,c) = multiply(add(c,c),b) ),
inference(resolve,[$cnf( $equal(add(multiply(c,b),multiply(c,b)),multiply(add(c,c),b)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
add(c,c) = multiply(add(c,c),b),
inference(resolve,[$cnf( $equal(add(c,c),add(multiply(c,b),multiply(c,b))) )],[refute_0_306,refute_0_311]) ).
cnf(refute_0_313,plain,
( add(c,c) != multiply(add(c,c),b)
| multiply(add(c,c),b) = add(c,c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(c,c))),bind(Y0,$fot(multiply(add(c,c),b)))]]) ).
cnf(refute_0_314,plain,
multiply(add(c,c),b) = add(c,c),
inference(resolve,[$cnf( $equal(add(c,c),multiply(add(c,c),b)) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( multiply(add(c,c),add(b,add(c,c))) != add(add(c,c),multiply(add(c,c),b))
| multiply(add(c,c),b) != add(c,c)
| multiply(add(c,c),add(b,add(c,c))) = add(add(c,c),add(c,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(c,c),add(b,add(c,c))),add(add(c,c),multiply(add(c,c),b))) ),[1,1],$fot(add(c,c))]]) ).
cnf(refute_0_316,plain,
( multiply(add(c,c),add(b,add(c,c))) != add(add(c,c),multiply(add(c,c),b))
| multiply(add(c,c),add(b,add(c,c))) = add(add(c,c),add(c,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),b),add(c,c)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(add(c,c),add(b,add(c,c))) = add(add(c,c),add(c,c)),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,add(c,c))),add(add(c,c),multiply(add(c,c),b))) )],[refute_0_278,refute_0_316]) ).
cnf(refute_0_318,plain,
add(X_6,add(X_7,X_8)) = add(add(X_6,X_7),X_8),
inference(subst,[],[associativity_for_addition:[bind(X,$fot(X_6)),bind(Y,$fot(X_7)),bind(Z,$fot(X_8))]]) ).
cnf(refute_0_319,plain,
add(X_8,X_7) = add(X_7,X_8),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(X_8)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_320,plain,
( add(X_8,X_7) != add(X_7,X_8)
| add(X_7,X_8) = add(X_8,X_7) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_8,X_7))),bind(Y0,$fot(add(X_7,X_8)))]]) ).
cnf(refute_0_321,plain,
add(X_7,X_8) = add(X_8,X_7),
inference(resolve,[$cnf( $equal(add(X_8,X_7),add(X_7,X_8)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
( add(X_6,add(X_7,X_8)) != add(add(X_6,X_7),X_8)
| add(X_7,X_8) != add(X_8,X_7)
| add(X_6,add(X_8,X_7)) = add(add(X_6,X_7),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_6,add(X_7,X_8)),add(add(X_6,X_7),X_8)) ),[0,1],$fot(add(X_8,X_7))]]) ).
cnf(refute_0_323,plain,
( add(X_6,add(X_7,X_8)) != add(add(X_6,X_7),X_8)
| add(X_6,add(X_8,X_7)) = add(add(X_6,X_7),X_8) ),
inference(resolve,[$cnf( $equal(add(X_7,X_8),add(X_8,X_7)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
add(X_6,add(X_8,X_7)) = add(add(X_6,X_7),X_8),
inference(resolve,[$cnf( $equal(add(X_6,add(X_7,X_8)),add(add(X_6,X_7),X_8)) )],[refute_0_318,refute_0_323]) ).
cnf(refute_0_325,plain,
add(add(X_6,X_7),X_8) = add(X_6,add(X_7,X_8)),
inference(subst,[],[refute_0_205:[bind(X,$fot(X_6)),bind(Y,$fot(X_7)),bind(Z,$fot(X_8))]]) ).
cnf(refute_0_326,plain,
( add(X_6,add(X_8,X_7)) != add(add(X_6,X_7),X_8)
| add(add(X_6,X_7),X_8) != add(X_6,add(X_7,X_8))
| add(X_6,add(X_8,X_7)) = add(X_6,add(X_7,X_8)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_6,add(X_8,X_7)),add(X_6,add(X_7,X_8))) ),[0],$fot(add(add(X_6,X_7),X_8))]]) ).
cnf(refute_0_327,plain,
( add(X_6,add(X_8,X_7)) != add(add(X_6,X_7),X_8)
| add(X_6,add(X_8,X_7)) = add(X_6,add(X_7,X_8)) ),
inference(resolve,[$cnf( $equal(add(add(X_6,X_7),X_8),add(X_6,add(X_7,X_8))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
add(X_6,add(X_8,X_7)) = add(X_6,add(X_7,X_8)),
inference(resolve,[$cnf( $equal(add(X_6,add(X_8,X_7)),add(add(X_6,X_7),X_8)) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
( add(X_6,add(X_8,X_7)) != add(X_6,add(X_7,X_8))
| add(X_6,add(X_7,X_8)) = add(X_6,add(X_8,X_7)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_6,add(X_8,X_7)))),bind(Y0,$fot(add(X_6,add(X_7,X_8))))]]) ).
cnf(refute_0_330,plain,
add(X_6,add(X_7,X_8)) = add(X_6,add(X_8,X_7)),
inference(resolve,[$cnf( $equal(add(X_6,add(X_8,X_7)),add(X_6,add(X_7,X_8))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
add(c,add(add(c,c),c)) = add(c,add(c,add(c,c))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(c)),bind(X_7,$fot(add(c,c))),bind(X_8,$fot(c))]]) ).
cnf(refute_0_332,plain,
add(X_7,X_6) = add(X_6,X_7),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(X_7)),bind(Y,$fot(X_6))]]) ).
cnf(refute_0_333,plain,
( add(X_7,X_6) != add(X_6,X_7)
| add(X_6,X_7) = add(X_7,X_6) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_7,X_6))),bind(Y0,$fot(add(X_6,X_7)))]]) ).
cnf(refute_0_334,plain,
add(X_6,X_7) = add(X_7,X_6),
inference(resolve,[$cnf( $equal(add(X_7,X_6),add(X_6,X_7)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
( add(X_6,X_7) != add(X_7,X_6)
| add(X_6,add(X_7,X_8)) != add(add(X_6,X_7),X_8)
| add(X_6,add(X_7,X_8)) = add(add(X_7,X_6),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_6,add(X_7,X_8)),add(add(X_6,X_7),X_8)) ),[1,0],$fot(add(X_7,X_6))]]) ).
cnf(refute_0_336,plain,
( add(X_6,add(X_7,X_8)) != add(add(X_6,X_7),X_8)
| add(X_6,add(X_7,X_8)) = add(add(X_7,X_6),X_8) ),
inference(resolve,[$cnf( $equal(add(X_6,X_7),add(X_7,X_6)) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
add(X_6,add(X_7,X_8)) = add(add(X_7,X_6),X_8),
inference(resolve,[$cnf( $equal(add(X_6,add(X_7,X_8)),add(add(X_6,X_7),X_8)) )],[refute_0_318,refute_0_336]) ).
cnf(refute_0_338,plain,
add(add(X_7,X_6),X_8) = add(X_7,add(X_6,X_8)),
inference(subst,[],[refute_0_205:[bind(X,$fot(X_7)),bind(Y,$fot(X_6)),bind(Z,$fot(X_8))]]) ).
cnf(refute_0_339,plain,
( add(X_6,add(X_7,X_8)) != add(add(X_7,X_6),X_8)
| add(add(X_7,X_6),X_8) != add(X_7,add(X_6,X_8))
| add(X_6,add(X_7,X_8)) = add(X_7,add(X_6,X_8)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_6,add(X_7,X_8)),add(X_7,add(X_6,X_8))) ),[0],$fot(add(add(X_7,X_6),X_8))]]) ).
cnf(refute_0_340,plain,
( add(X_6,add(X_7,X_8)) != add(add(X_7,X_6),X_8)
| add(X_6,add(X_7,X_8)) = add(X_7,add(X_6,X_8)) ),
inference(resolve,[$cnf( $equal(add(add(X_7,X_6),X_8),add(X_7,add(X_6,X_8))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
add(X_6,add(X_7,X_8)) = add(X_7,add(X_6,X_8)),
inference(resolve,[$cnf( $equal(add(X_6,add(X_7,X_8)),add(add(X_7,X_6),X_8)) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
( add(X_6,add(X_7,X_8)) != add(X_7,add(X_6,X_8))
| add(X_7,add(X_6,X_8)) = add(X_6,add(X_7,X_8)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_6,add(X_7,X_8)))),bind(Y0,$fot(add(X_7,add(X_6,X_8))))]]) ).
cnf(refute_0_343,plain,
add(X_7,add(X_6,X_8)) = add(X_6,add(X_7,X_8)),
inference(resolve,[$cnf( $equal(add(X_6,add(X_7,X_8)),add(X_7,add(X_6,X_8))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
add(add(c,c),add(c,c)) = add(c,add(add(c,c),c)),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(c)),bind(X_7,$fot(add(c,c))),bind(X_8,$fot(c))]]) ).
cnf(refute_0_345,plain,
( add(add(c,c),add(c,c)) != add(c,add(add(c,c),c))
| add(c,add(add(c,c),c)) != add(c,add(c,add(c,c)))
| add(add(c,c),add(c,c)) = add(c,add(c,add(c,c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(c,c),add(c,c)))),bind(Y0,$fot(add(c,add(add(c,c),c)))),bind(Z0,$fot(add(c,add(c,add(c,c)))))]]) ).
cnf(refute_0_346,plain,
( add(c,add(add(c,c),c)) != add(c,add(c,add(c,c)))
| add(add(c,c),add(c,c)) = add(c,add(c,add(c,c))) ),
inference(resolve,[$cnf( $equal(add(add(c,c),add(c,c)),add(c,add(add(c,c),c))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
add(add(c,c),add(c,c)) = add(c,add(c,add(c,c))),
inference(resolve,[$cnf( $equal(add(c,add(add(c,c),c)),add(c,add(c,add(c,c)))) )],[refute_0_331,refute_0_346]) ).
cnf(refute_0_348,plain,
( multiply(add(c,c),add(b,add(c,c))) != add(add(c,c),add(c,c))
| add(add(c,c),add(c,c)) != add(c,add(c,add(c,c)))
| multiply(add(c,c),add(b,add(c,c))) = add(c,add(c,add(c,c))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(c,c),add(b,add(c,c))),add(c,add(c,add(c,c)))) ),[0],$fot(add(add(c,c),add(c,c)))]]) ).
cnf(refute_0_349,plain,
( multiply(add(c,c),add(b,add(c,c))) != add(add(c,c),add(c,c))
| multiply(add(c,c),add(b,add(c,c))) = add(c,add(c,add(c,c))) ),
inference(resolve,[$cnf( $equal(add(add(c,c),add(c,c)),add(c,add(c,add(c,c)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(add(c,c),add(b,add(c,c))) = add(c,add(c,add(c,c))),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,add(c,c))),add(add(c,c),add(c,c))) )],[refute_0_317,refute_0_349]) ).
cnf(refute_0_351,plain,
multiply(c,add(b,b)) = multiply(c,multiply(add(b,b),multiply(b,add(b,b)))),
inference(subst,[],[refute_0_49:[bind(X_20,$fot(add(b,b)))]]) ).
cnf(refute_0_352,plain,
( multiply(c,add(b,b)) != multiply(c,multiply(add(b,b),multiply(b,add(b,b))))
| multiply(c,add(b,b)) != add(c,c)
| add(c,c) = multiply(c,multiply(add(b,b),multiply(b,add(b,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,b)),multiply(c,multiply(add(b,b),multiply(b,add(b,b))))) ),[0],$fot(add(c,c))]]) ).
cnf(refute_0_353,plain,
( multiply(c,add(b,b)) != multiply(c,multiply(add(b,b),multiply(b,add(b,b))))
| add(c,c) = multiply(c,multiply(add(b,b),multiply(b,add(b,b)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,b)),add(c,c)) )],[refute_0_303,refute_0_352]) ).
cnf(refute_0_354,plain,
add(c,c) = multiply(c,multiply(add(b,b),multiply(b,add(b,b)))),
inference(resolve,[$cnf( $equal(multiply(c,add(b,b)),multiply(c,multiply(add(b,b),multiply(b,add(b,b))))) )],[refute_0_351,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(X_31,add(X_31,X_31)) = add(X_31,multiply(X_31,X_31)),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(X_31)),bind(X_29,$fot(X_31))]]) ).
cnf(refute_0_356,plain,
multiply(X_31,X_31) = X_31,
inference(subst,[],[boolean_ring:[bind(X,$fot(X_31))]]) ).
cnf(refute_0_357,plain,
( multiply(X_31,X_31) != X_31
| multiply(X_31,add(X_31,X_31)) != add(X_31,multiply(X_31,X_31))
| multiply(X_31,add(X_31,X_31)) = add(X_31,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,add(X_31,X_31)),add(X_31,multiply(X_31,X_31))) ),[1,1],$fot(X_31)]]) ).
cnf(refute_0_358,plain,
( multiply(X_31,add(X_31,X_31)) != add(X_31,multiply(X_31,X_31))
| multiply(X_31,add(X_31,X_31)) = add(X_31,X_31) ),
inference(resolve,[$cnf( $equal(multiply(X_31,X_31),X_31) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(X_31,add(X_31,X_31)) = add(X_31,X_31),
inference(resolve,[$cnf( $equal(multiply(X_31,add(X_31,X_31)),add(X_31,multiply(X_31,X_31))) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(b,add(b,b)) = add(b,b),
inference(subst,[],[refute_0_359:[bind(X_31,$fot(b))]]) ).
cnf(refute_0_361,plain,
multiply(add(c,c),multiply(b,add(b,b))) = multiply(add(c,c),multiply(b,add(b,b))),
introduced(tautology,[refl,[$fot(multiply(add(c,c),multiply(b,add(b,b))))]]) ).
cnf(refute_0_362,plain,
( multiply(add(c,c),multiply(b,add(b,b))) != multiply(add(c,c),multiply(b,add(b,b)))
| multiply(b,add(b,b)) != add(b,b)
| multiply(add(c,c),multiply(b,add(b,b))) = multiply(add(c,c),add(b,b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(c,c),multiply(b,add(b,b))),multiply(add(c,c),multiply(b,add(b,b)))) ),[1,1],$fot(add(b,b))]]) ).
cnf(refute_0_363,plain,
( multiply(b,add(b,b)) != add(b,b)
| multiply(add(c,c),multiply(b,add(b,b))) = multiply(add(c,c),add(b,b)) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),multiply(b,add(b,b))),multiply(add(c,c),multiply(b,add(b,b)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(add(c,c),multiply(b,add(b,b))) = multiply(add(c,c),add(b,b)),
inference(resolve,[$cnf( $equal(multiply(b,add(b,b)),add(b,b)) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(c,multiply(add(b,b),Z)) = multiply(multiply(c,add(b,b)),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(c)),bind(Y,$fot(add(b,b)))]]) ).
cnf(refute_0_366,plain,
( multiply(c,multiply(add(b,b),Z)) != multiply(multiply(c,add(b,b)),Z)
| multiply(c,add(b,b)) != add(c,c)
| multiply(c,multiply(add(b,b),Z)) = multiply(add(c,c),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(b,b),Z)),multiply(multiply(c,add(b,b)),Z)) ),[1,0],$fot(add(c,c))]]) ).
cnf(refute_0_367,plain,
( multiply(c,multiply(add(b,b),Z)) != multiply(multiply(c,add(b,b)),Z)
| multiply(c,multiply(add(b,b),Z)) = multiply(add(c,c),Z) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,b)),add(c,c)) )],[refute_0_303,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(c,multiply(add(b,b),Z)) = multiply(add(c,c),Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,b),Z)),multiply(multiply(c,add(b,b)),Z)) )],[refute_0_365,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(c,multiply(add(b,b),multiply(b,add(b,b)))) = multiply(add(c,c),multiply(b,add(b,b))),
inference(subst,[],[refute_0_368:[bind(Z,$fot(multiply(b,add(b,b))))]]) ).
cnf(refute_0_370,plain,
( multiply(add(c,c),multiply(b,add(b,b))) != multiply(add(c,c),add(b,b))
| multiply(c,multiply(add(b,b),multiply(b,add(b,b)))) != multiply(add(c,c),multiply(b,add(b,b)))
| multiply(c,multiply(add(b,b),multiply(b,add(b,b)))) = multiply(add(c,c),add(b,b)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(b,b),multiply(b,add(b,b)))))),bind(Y0,$fot(multiply(add(c,c),multiply(b,add(b,b))))),bind(Z0,$fot(multiply(add(c,c),add(b,b))))]]) ).
cnf(refute_0_371,plain,
( multiply(add(c,c),multiply(b,add(b,b))) != multiply(add(c,c),add(b,b))
| multiply(c,multiply(add(b,b),multiply(b,add(b,b)))) = multiply(add(c,c),add(b,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,b),multiply(b,add(b,b)))),multiply(add(c,c),multiply(b,add(b,b)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(c,multiply(add(b,b),multiply(b,add(b,b)))) = multiply(add(c,c),add(b,b)),
inference(resolve,[$cnf( $equal(multiply(add(c,c),multiply(b,add(b,b))),multiply(add(c,c),add(b,b))) )],[refute_0_364,refute_0_371]) ).
cnf(refute_0_373,plain,
( multiply(c,multiply(add(b,b),multiply(b,add(b,b)))) != multiply(add(c,c),add(b,b))
| add(c,c) != multiply(c,multiply(add(b,b),multiply(b,add(b,b))))
| add(c,c) = multiply(add(c,c),add(b,b)) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,c),multiply(c,multiply(add(b,b),multiply(b,add(b,b))))) ),[1],$fot(multiply(add(c,c),add(b,b)))]]) ).
cnf(refute_0_374,plain,
( add(c,c) != multiply(c,multiply(add(b,b),multiply(b,add(b,b))))
| add(c,c) = multiply(add(c,c),add(b,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,b),multiply(b,add(b,b)))),multiply(add(c,c),add(b,b))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
add(c,c) = multiply(add(c,c),add(b,b)),
inference(resolve,[$cnf( $equal(add(c,c),multiply(c,multiply(add(b,b),multiply(b,add(b,b))))) )],[refute_0_354,refute_0_374]) ).
cnf(refute_0_376,plain,
( add(c,c) != multiply(add(c,c),add(b,b))
| multiply(add(c,c),add(b,b)) = add(c,c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(c,c))),bind(Y0,$fot(multiply(add(c,c),add(b,b))))]]) ).
cnf(refute_0_377,plain,
multiply(add(c,c),add(b,b)) = add(c,c),
inference(resolve,[$cnf( $equal(add(c,c),multiply(add(c,c),add(b,b))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(add(c,c),add(b,Z)) = add(multiply(add(c,c),b),multiply(add(c,c),Z)),
inference(subst,[],[distribute1:[bind(X,$fot(add(c,c))),bind(Y,$fot(b))]]) ).
cnf(refute_0_379,plain,
( multiply(add(c,c),add(b,Z)) != add(multiply(add(c,c),b),multiply(add(c,c),Z))
| multiply(add(c,c),b) != add(c,c)
| multiply(add(c,c),add(b,Z)) = add(add(c,c),multiply(add(c,c),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(c,c),add(b,Z)),add(multiply(add(c,c),b),multiply(add(c,c),Z))) ),[1,0],$fot(add(c,c))]]) ).
cnf(refute_0_380,plain,
( multiply(add(c,c),add(b,Z)) != add(multiply(add(c,c),b),multiply(add(c,c),Z))
| multiply(add(c,c),add(b,Z)) = add(add(c,c),multiply(add(c,c),Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),b),add(c,c)) )],[refute_0_314,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(add(c,c),add(b,Z)) = add(add(c,c),multiply(add(c,c),Z)),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,Z)),add(multiply(add(c,c),b),multiply(add(c,c),Z))) )],[refute_0_378,refute_0_380]) ).
cnf(refute_0_382,plain,
add(add(c,c),multiply(add(c,c),Z)) = multiply(add(c,c),add(Z,add(c,c))),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(Z)),bind(X_29,$fot(add(c,c)))]]) ).
cnf(refute_0_383,plain,
( multiply(add(c,c),add(b,Z)) != add(add(c,c),multiply(add(c,c),Z))
| add(add(c,c),multiply(add(c,c),Z)) != multiply(add(c,c),add(Z,add(c,c)))
| multiply(add(c,c),add(b,Z)) = multiply(add(c,c),add(Z,add(c,c))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(c,c),add(b,Z)),multiply(add(c,c),add(Z,add(c,c)))) ),[0],$fot(add(add(c,c),multiply(add(c,c),Z)))]]) ).
cnf(refute_0_384,plain,
( multiply(add(c,c),add(b,Z)) != add(add(c,c),multiply(add(c,c),Z))
| multiply(add(c,c),add(b,Z)) = multiply(add(c,c),add(Z,add(c,c))) ),
inference(resolve,[$cnf( $equal(add(add(c,c),multiply(add(c,c),Z)),multiply(add(c,c),add(Z,add(c,c)))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
multiply(add(c,c),add(b,Z)) = multiply(add(c,c),add(Z,add(c,c))),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,Z)),add(add(c,c),multiply(add(c,c),Z))) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( multiply(add(c,c),add(b,Z)) != multiply(add(c,c),add(Z,add(c,c)))
| multiply(add(c,c),add(Z,add(c,c))) = multiply(add(c,c),add(b,Z)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(c,c),add(b,Z)))),bind(Y0,$fot(multiply(add(c,c),add(Z,add(c,c)))))]]) ).
cnf(refute_0_387,plain,
multiply(add(c,c),add(Z,add(c,c))) = multiply(add(c,c),add(b,Z)),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,Z)),multiply(add(c,c),add(Z,add(c,c)))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(add(c,c),add(b,add(c,c))) = multiply(add(c,c),add(b,b)),
inference(subst,[],[refute_0_387:[bind(Z,$fot(b))]]) ).
cnf(refute_0_389,plain,
( multiply(add(c,c),add(b,add(c,c))) != multiply(add(c,c),add(b,b))
| multiply(add(c,c),add(b,b)) != add(c,c)
| multiply(add(c,c),add(b,add(c,c))) = add(c,c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(c,c),add(b,add(c,c))))),bind(Y0,$fot(multiply(add(c,c),add(b,b)))),bind(Z0,$fot(add(c,c)))]]) ).
cnf(refute_0_390,plain,
( multiply(add(c,c),add(b,b)) != add(c,c)
| multiply(add(c,c),add(b,add(c,c))) = add(c,c) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,add(c,c))),multiply(add(c,c),add(b,b))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(add(c,c),add(b,add(c,c))) = add(c,c),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,b)),add(c,c)) )],[refute_0_377,refute_0_390]) ).
cnf(refute_0_392,plain,
( multiply(add(c,c),add(b,add(c,c))) != add(c,add(c,add(c,c)))
| multiply(add(c,c),add(b,add(c,c))) != add(c,c)
| add(c,c) = add(c,add(c,add(c,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(c,c),add(b,add(c,c))),add(c,add(c,add(c,c)))) ),[0],$fot(add(c,c))]]) ).
cnf(refute_0_393,plain,
( multiply(add(c,c),add(b,add(c,c))) != add(c,add(c,add(c,c)))
| add(c,c) = add(c,add(c,add(c,c))) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,add(c,c))),add(c,c)) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
add(c,c) = add(c,add(c,add(c,c))),
inference(resolve,[$cnf( $equal(multiply(add(c,c),add(b,add(c,c))),add(c,add(c,add(c,c)))) )],[refute_0_350,refute_0_393]) ).
cnf(refute_0_395,plain,
( add(c,c) != add(c,add(c,add(c,c)))
| add(c,add(c,add(c,c))) = add(c,c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(c,c))),bind(Y0,$fot(add(c,add(c,add(c,c)))))]]) ).
cnf(refute_0_396,plain,
add(c,add(c,add(c,c))) = add(c,c),
inference(resolve,[$cnf( $equal(add(c,c),add(c,add(c,add(c,c)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
( multiply(a,add(b,add(b,add(b,b)))) != add(c,add(c,add(c,c)))
| add(c,add(c,add(c,c))) != add(c,c)
| multiply(a,add(b,add(b,add(b,b)))) = add(c,c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,add(b,add(b,b)))),add(c,c)) ),[0],$fot(add(c,add(c,add(c,c))))]]) ).
cnf(refute_0_398,plain,
( multiply(a,add(b,add(b,add(b,b)))) != add(c,add(c,add(c,c)))
| multiply(a,add(b,add(b,add(b,b)))) = add(c,c) ),
inference(resolve,[$cnf( $equal(add(c,add(c,add(c,c))),add(c,c)) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(a,add(b,add(b,add(b,b)))) = add(c,c),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(b,add(b,b)))),add(c,add(c,add(c,c)))) )],[refute_0_277,refute_0_398]) ).
cnf(refute_0_400,plain,
( multiply(a,add(add(b,add(b,b)),b)) != multiply(a,add(b,add(b,add(b,b))))
| multiply(a,add(b,add(b,add(b,b)))) != add(c,c)
| multiply(a,add(add(b,add(b,b)),b)) = add(c,c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(add(b,add(b,b)),b)))),bind(Y0,$fot(multiply(a,add(b,add(b,add(b,b)))))),bind(Z0,$fot(add(c,c)))]]) ).
cnf(refute_0_401,plain,
( multiply(a,add(b,add(b,add(b,b)))) != add(c,c)
| multiply(a,add(add(b,add(b,b)),b)) = add(c,c) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,add(b,b)),b)),multiply(a,add(b,add(b,add(b,b))))) )],[refute_0_274,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(a,add(add(b,add(b,b)),b)) = add(c,c),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(b,add(b,b)))),add(c,c)) )],[refute_0_399,refute_0_401]) ).
cnf(refute_0_403,plain,
additive_inverse(multiply(a,add(add(b,add(b,b)),b))) = additive_inverse(multiply(a,add(add(b,add(b,b)),b))),
introduced(tautology,[refl,[$fot(additive_inverse(multiply(a,add(add(b,add(b,b)),b))))]]) ).
cnf(refute_0_404,plain,
( multiply(a,add(add(b,add(b,b)),b)) != add(c,c)
| additive_inverse(multiply(a,add(add(b,add(b,b)),b))) != additive_inverse(multiply(a,add(add(b,add(b,b)),b)))
| additive_inverse(multiply(a,add(add(b,add(b,b)),b))) = additive_inverse(add(c,c)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_inverse(multiply(a,add(add(b,add(b,b)),b))),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) ),[1,0],$fot(add(c,c))]]) ).
cnf(refute_0_405,plain,
( multiply(a,add(add(b,add(b,b)),b)) != add(c,c)
| additive_inverse(multiply(a,add(add(b,add(b,b)),b))) = additive_inverse(add(c,c)) ),
inference(resolve,[$cnf( $equal(additive_inverse(multiply(a,add(add(b,add(b,b)),b))),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
additive_inverse(multiply(a,add(add(b,add(b,b)),b))) = additive_inverse(add(c,c)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,add(b,b)),b)),add(c,c)) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))),
introduced(tautology,[refl,[$fot(add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))]]) ).
cnf(refute_0_408,plain,
( add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))
| additive_inverse(multiply(a,add(add(b,add(b,b)),b))) != additive_inverse(add(c,c))
| add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = add(c,additive_inverse(add(c,c))) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))),add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) ),[1,1],$fot(additive_inverse(add(c,c)))]]) ).
cnf(refute_0_409,plain,
( additive_inverse(multiply(a,add(add(b,add(b,b)),b))) != additive_inverse(add(c,c))
| add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = add(c,additive_inverse(add(c,c))) ),
inference(resolve,[$cnf( $equal(add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))),add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = add(c,additive_inverse(add(c,c))),
inference(resolve,[$cnf( $equal(additive_inverse(multiply(a,add(add(b,add(b,b)),b))),additive_inverse(add(c,c))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),
introduced(tautology,[refl,[$fot(add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))))]]) ).
cnf(refute_0_412,plain,
( add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))
| add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != add(c,additive_inverse(add(c,c)))
| add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,add(c,additive_inverse(add(c,c)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))) ),[1,1],$fot(add(c,additive_inverse(add(c,c))))]]) ).
cnf(refute_0_413,plain,
( add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != add(c,additive_inverse(add(c,c)))
| add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,add(c,additive_inverse(add(c,c)))) ),
inference(resolve,[$cnf( $equal(add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,add(c,additive_inverse(add(c,c)))),
inference(resolve,[$cnf( $equal(add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))),add(c,additive_inverse(add(c,c)))) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
( add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != add(c,add(c,additive_inverse(add(c,c))))
| add(c,add(c,additive_inverse(add(c,c)))) != additive_identity
| add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))))),bind(Y0,$fot(add(c,add(c,additive_inverse(add(c,c)))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_416,plain,
( add(c,add(c,additive_inverse(add(c,c)))) != additive_identity
| add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,add(c,additive_inverse(add(c,c))))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(c,additive_inverse(add(c,c)))),additive_identity) )],[refute_0_269,refute_0_416]) ).
cnf(refute_0_418,plain,
add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),
inference(subst,[],[refute_0_205:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(Z,$fot(additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))]]) ).
cnf(refute_0_419,plain,
( add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))
| add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != additive_identity
| add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))),bind(Y0,$fot(add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_420,plain,
( add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != additive_identity
| add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))),add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(c,additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),additive_identity) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),
introduced(tautology,[refl,[$fot(add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))))]]) ).
cnf(refute_0_423,plain,
( add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != additive_identity
| add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))
| add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_424,plain,
( add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != additive_identity
| add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,additive_identity) ),
inference(resolve,[$cnf( $equal(add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,additive_identity),
inference(resolve,[$cnf( $equal(add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))),additive_identity) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
( add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != add(c,additive_identity)
| add(c,additive_identity) != c
| add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = c ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))))),bind(Y0,$fot(add(c,additive_identity))),bind(Z0,$fot(c))]]) ).
cnf(refute_0_427,plain,
( add(c,additive_identity) != c
| add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = c ),
inference(resolve,[$cnf( $equal(add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,additive_identity)) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = c,
inference(resolve,[$cnf( $equal(add(c,additive_identity),c) )],[refute_0_261,refute_0_427]) ).
cnf(refute_0_429,plain,
add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),
inference(subst,[],[refute_0_205:[bind(X,$fot(c)),bind(Y,$fot(add(c,c))),bind(Z,$fot(additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))]]) ).
cnf(refute_0_430,plain,
( add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))
| add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != c
| add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = c ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))),bind(Y0,$fot(add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))))),bind(Z0,$fot(c))]]) ).
cnf(refute_0_431,plain,
( add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != c
| add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = c ),
inference(resolve,[$cnf( $equal(add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))),add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) = c,
inference(resolve,[$cnf( $equal(add(c,add(add(c,c),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),c) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),
introduced(tautology,[refl,[$fot(add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))))]]) ).
cnf(refute_0_434,plain,
( add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != c
| add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))
| add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,c) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_435,plain,
( add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))) != c
| add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,c) ),
inference(resolve,[$cnf( $equal(add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) = add(c,c),
inference(resolve,[$cnf( $equal(add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b)))),c) )],[refute_0_432,refute_0_435]) ).
cnf(refute_0_437,plain,
( add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != add(c,c)
| add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != additive_identity
| add(c,c) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),additive_identity) ),[0],$fot(add(c,c))]]) ).
cnf(refute_0_438,plain,
( add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))) != additive_identity
| add(c,c) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),add(c,c)) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
add(c,c) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(add(c,add(c,c)),additive_inverse(multiply(a,add(add(b,add(b,b)),b))))),additive_identity) )],[refute_0_256,refute_0_438]) ).
cnf(refute_0_440,plain,
( multiply(a,add(b,b)) != add(c,c)
| add(c,c) != additive_identity
| multiply(a,add(b,b)) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,b)),additive_identity) ),[0],$fot(add(c,c))]]) ).
cnf(refute_0_441,plain,
( multiply(a,add(b,b)) != add(c,c)
| multiply(a,add(b,b)) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,c),additive_identity) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(a,add(b,b)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(a,add(b,b)),add(c,c)) )],[refute_0_200,refute_0_441]) ).
cnf(refute_0_443,plain,
( multiply(a,add(add(b,b),Z)) != add(multiply(a,add(b,b)),multiply(a,Z))
| multiply(a,add(b,b)) != additive_identity
| multiply(a,add(add(b,b),Z)) = add(additive_identity,multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,b),Z)),add(multiply(a,add(b,b)),multiply(a,Z))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_444,plain,
( multiply(a,add(add(b,b),Z)) != add(multiply(a,add(b,b)),multiply(a,Z))
| multiply(a,add(add(b,b),Z)) = add(additive_identity,multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,b)),additive_identity) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(a,add(add(b,b),Z)) = add(additive_identity,multiply(a,Z)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),Z)),add(multiply(a,add(b,b)),multiply(a,Z))) )],[refute_0_196,refute_0_444]) ).
cnf(refute_0_446,plain,
( multiply(a,add(add(b,b),Z)) != multiply(a,add(b,add(b,Z)))
| multiply(a,add(add(b,b),Z)) != add(additive_identity,multiply(a,Z))
| multiply(a,add(b,add(b,Z))) = add(additive_identity,multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,b),Z)),add(additive_identity,multiply(a,Z))) ),[0],$fot(multiply(a,add(b,add(b,Z))))]]) ).
cnf(refute_0_447,plain,
( multiply(a,add(add(b,b),Z)) != add(additive_identity,multiply(a,Z))
| multiply(a,add(b,add(b,Z))) = add(additive_identity,multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),Z)),multiply(a,add(b,add(b,Z)))) )],[refute_0_210,refute_0_446]) ).
cnf(refute_0_448,plain,
add(additive_identity,multiply(a,Z)) = multiply(a,Z),
inference(subst,[],[left_additive_identity:[bind(X,$fot(multiply(a,Z)))]]) ).
cnf(refute_0_449,plain,
( multiply(a,add(b,add(b,Z))) != add(additive_identity,multiply(a,Z))
| add(additive_identity,multiply(a,Z)) != multiply(a,Z)
| multiply(a,add(b,add(b,Z))) = multiply(a,Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,add(b,Z))),multiply(a,Z)) ),[0],$fot(add(additive_identity,multiply(a,Z)))]]) ).
cnf(refute_0_450,plain,
( multiply(a,add(b,add(b,Z))) != add(additive_identity,multiply(a,Z))
| multiply(a,add(b,add(b,Z))) = multiply(a,Z) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(a,Z)),multiply(a,Z)) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
( multiply(a,add(add(b,b),Z)) != add(additive_identity,multiply(a,Z))
| multiply(a,add(b,add(b,Z))) = multiply(a,Z) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(b,Z))),add(additive_identity,multiply(a,Z))) )],[refute_0_447,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(a,add(b,add(b,Z))) = multiply(a,Z),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,b),Z)),add(additive_identity,multiply(a,Z))) )],[refute_0_445,refute_0_451]) ).
cnf(refute_0_453,plain,
( multiply(a,add(b,add(b,Z))) != multiply(a,Z)
| multiply(a,add(b,add(b,Z))) != multiply(a,add(b,add(Z,b)))
| multiply(a,Z) = multiply(a,add(b,add(Z,b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(b,add(b,Z))),multiply(a,add(b,add(Z,b)))) ),[0],$fot(multiply(a,Z))]]) ).
cnf(refute_0_454,plain,
( multiply(a,add(b,add(b,Z))) != multiply(a,add(b,add(Z,b)))
| multiply(a,Z) = multiply(a,add(b,add(Z,b))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(b,Z))),multiply(a,Z)) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
multiply(a,Z) = multiply(a,add(b,add(Z,b))),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(b,Z))),multiply(a,add(b,add(Z,b)))) )],[refute_0_244,refute_0_454]) ).
cnf(refute_0_456,plain,
( multiply(a,Z) != multiply(a,add(b,add(Z,b)))
| multiply(a,add(b,add(Z,b))) = multiply(a,Z) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,Z))),bind(Y0,$fot(multiply(a,add(b,add(Z,b)))))]]) ).
cnf(refute_0_457,plain,
multiply(a,add(b,add(Z,b))) = multiply(a,Z),
inference(resolve,[$cnf( $equal(multiply(a,Z),multiply(a,add(b,add(Z,b)))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
multiply(a,add(b,add(X_40,b))) = multiply(a,X_40),
inference(subst,[],[refute_0_457:[bind(Z,$fot(X_40))]]) ).
cnf(refute_0_459,plain,
multiply(a,add(X_28,c)) = add(multiply(a,X_28),multiply(a,c)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(X_28)),bind(Z,$fot(c))]]) ).
cnf(refute_0_460,plain,
( multiply(a,add(X_28,c)) != add(multiply(a,X_28),multiply(a,c))
| multiply(a,c) != c
| multiply(a,add(X_28,c)) = add(multiply(a,X_28),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(X_28,c)),add(multiply(a,X_28),multiply(a,c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_461,plain,
( multiply(a,add(X_28,c)) != add(multiply(a,X_28),multiply(a,c))
| multiply(a,add(X_28,c)) = add(multiply(a,X_28),c) ),
inference(resolve,[$cnf( $equal(multiply(a,c),c) )],[refute_0_179,refute_0_460]) ).
cnf(refute_0_462,plain,
multiply(a,add(X_28,c)) = add(multiply(a,X_28),c),
inference(resolve,[$cnf( $equal(multiply(a,add(X_28,c)),add(multiply(a,X_28),multiply(a,c))) )],[refute_0_459,refute_0_461]) ).
cnf(refute_0_463,plain,
( add(multiply(a,X_28),c) != add(c,multiply(a,X_28))
| add(c,multiply(a,X_28)) != multiply(a,add(X_28,b))
| add(multiply(a,X_28),c) = multiply(a,add(X_28,b)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,X_28),c))),bind(Y0,$fot(add(c,multiply(a,X_28)))),bind(Z0,$fot(multiply(a,add(X_28,b))))]]) ).
cnf(refute_0_464,plain,
( add(c,multiply(a,X_28)) != multiply(a,add(X_28,b))
| add(multiply(a,X_28),c) = multiply(a,add(X_28,b)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,X_28),c),add(c,multiply(a,X_28))) )],[refute_0_156,refute_0_463]) ).
cnf(refute_0_465,plain,
add(multiply(a,X_28),c) = multiply(a,add(X_28,b)),
inference(resolve,[$cnf( $equal(add(c,multiply(a,X_28)),multiply(a,add(X_28,b))) )],[refute_0_184,refute_0_464]) ).
cnf(refute_0_466,plain,
( multiply(a,add(X_28,c)) != add(multiply(a,X_28),c)
| add(multiply(a,X_28),c) != multiply(a,add(X_28,b))
| multiply(a,add(X_28,c)) = multiply(a,add(X_28,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(X_28,c)),multiply(a,add(X_28,b))) ),[0],$fot(add(multiply(a,X_28),c))]]) ).
cnf(refute_0_467,plain,
( multiply(a,add(X_28,c)) != add(multiply(a,X_28),c)
| multiply(a,add(X_28,c)) = multiply(a,add(X_28,b)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,X_28),c),multiply(a,add(X_28,b))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(a,add(X_28,c)) = multiply(a,add(X_28,b)),
inference(resolve,[$cnf( $equal(multiply(a,add(X_28,c)),add(multiply(a,X_28),c)) )],[refute_0_462,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(a,add(X_38,c)) = multiply(a,add(X_38,b)),
inference(subst,[],[refute_0_468:[bind(X_28,$fot(X_38))]]) ).
cnf(refute_0_470,plain,
add(b,X_38) = add(X_38,b),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(b)),bind(Y,$fot(X_38))]]) ).
cnf(refute_0_471,plain,
( add(b,X_38) != add(X_38,b)
| add(X_38,b) = add(b,X_38) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(b,X_38))),bind(Y0,$fot(add(X_38,b)))]]) ).
cnf(refute_0_472,plain,
add(X_38,b) = add(b,X_38),
inference(resolve,[$cnf( $equal(add(b,X_38),add(X_38,b)) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
( multiply(a,add(X_38,c)) != multiply(a,add(X_38,b))
| add(X_38,b) != add(b,X_38)
| multiply(a,add(X_38,c)) = multiply(a,add(b,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(X_38,c)),multiply(a,add(X_38,b))) ),[1,1],$fot(add(b,X_38))]]) ).
cnf(refute_0_474,plain,
( multiply(a,add(X_38,c)) != multiply(a,add(X_38,b))
| multiply(a,add(X_38,c)) = multiply(a,add(b,X_38)) ),
inference(resolve,[$cnf( $equal(add(X_38,b),add(b,X_38)) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
multiply(a,add(X_38,c)) = multiply(a,add(b,X_38)),
inference(resolve,[$cnf( $equal(multiply(a,add(X_38,c)),multiply(a,add(X_38,b))) )],[refute_0_469,refute_0_474]) ).
cnf(refute_0_476,plain,
( multiply(a,add(X_38,c)) != multiply(a,add(X_38,b))
| multiply(a,add(X_38,c)) != multiply(a,add(b,X_38))
| multiply(a,add(X_38,b)) = multiply(a,add(b,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(X_38,c)),multiply(a,add(b,X_38))) ),[0],$fot(multiply(a,add(X_38,b)))]]) ).
cnf(refute_0_477,plain,
( multiply(a,add(X_38,c)) != multiply(a,add(b,X_38))
| multiply(a,add(X_38,b)) = multiply(a,add(b,X_38)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(X_38,c)),multiply(a,add(X_38,b))) )],[refute_0_469,refute_0_476]) ).
cnf(refute_0_478,plain,
multiply(a,add(X_38,b)) = multiply(a,add(b,X_38)),
inference(resolve,[$cnf( $equal(multiply(a,add(X_38,c)),multiply(a,add(b,X_38))) )],[refute_0_475,refute_0_477]) ).
cnf(refute_0_479,plain,
multiply(a,add(add(X_40,b),b)) = multiply(a,add(b,add(X_40,b))),
inference(subst,[],[refute_0_478:[bind(X_38,$fot(add(X_40,b)))]]) ).
cnf(refute_0_480,plain,
( multiply(a,add(add(X_40,b),b)) != multiply(a,add(b,add(X_40,b)))
| multiply(a,add(b,add(X_40,b))) != multiply(a,X_40)
| multiply(a,add(add(X_40,b),b)) = multiply(a,X_40) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(add(X_40,b),b)))),bind(Y0,$fot(multiply(a,add(b,add(X_40,b))))),bind(Z0,$fot(multiply(a,X_40)))]]) ).
cnf(refute_0_481,plain,
( multiply(a,add(b,add(X_40,b))) != multiply(a,X_40)
| multiply(a,add(add(X_40,b),b)) = multiply(a,X_40) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(X_40,b),b)),multiply(a,add(b,add(X_40,b)))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
multiply(a,add(add(X_40,b),b)) = multiply(a,X_40),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(X_40,b))),multiply(a,X_40)) )],[refute_0_458,refute_0_481]) ).
cnf(refute_0_483,plain,
additive_inverse(multiply(a,add(add(X_40,b),b))) = additive_inverse(multiply(a,add(add(X_40,b),b))),
introduced(tautology,[refl,[$fot(additive_inverse(multiply(a,add(add(X_40,b),b))))]]) ).
cnf(refute_0_484,plain,
( multiply(a,add(add(X_40,b),b)) != multiply(a,X_40)
| additive_inverse(multiply(a,add(add(X_40,b),b))) != additive_inverse(multiply(a,add(add(X_40,b),b)))
| additive_inverse(multiply(a,add(add(X_40,b),b))) = additive_inverse(multiply(a,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_inverse(multiply(a,add(add(X_40,b),b))),additive_inverse(multiply(a,add(add(X_40,b),b)))) ),[1,0],$fot(multiply(a,X_40))]]) ).
cnf(refute_0_485,plain,
( multiply(a,add(add(X_40,b),b)) != multiply(a,X_40)
| additive_inverse(multiply(a,add(add(X_40,b),b))) = additive_inverse(multiply(a,X_40)) ),
inference(resolve,[$cnf( $equal(additive_inverse(multiply(a,add(add(X_40,b),b))),additive_inverse(multiply(a,add(add(X_40,b),b)))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
additive_inverse(multiply(a,add(add(X_40,b),b))) = additive_inverse(multiply(a,X_40)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(X_40,b),b)),multiply(a,X_40)) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) = add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))),
introduced(tautology,[refl,[$fot(add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))))]]) ).
cnf(refute_0_488,plain,
( add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) != add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))
| additive_inverse(multiply(a,add(add(X_40,b),b))) != additive_inverse(multiply(a,X_40))
| add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) = add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))),add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) ),[1,1],$fot(additive_inverse(multiply(a,X_40)))]]) ).
cnf(refute_0_489,plain,
( additive_inverse(multiply(a,add(add(X_40,b),b))) != additive_inverse(multiply(a,X_40))
| add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) = add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))),add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) = add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40))),
inference(resolve,[$cnf( $equal(additive_inverse(multiply(a,add(add(X_40,b),b))),additive_inverse(multiply(a,X_40))) )],[refute_0_486,refute_0_489]) ).
cnf(refute_0_491,plain,
( add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40))) != add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))
| add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) != add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40)))
| add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) = add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))))),bind(Y0,$fot(add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40))))),bind(Z0,$fot(add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))))]]) ).
cnf(refute_0_492,plain,
( add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40))) != add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))
| add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) = add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))),add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40)))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) = add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))),
inference(resolve,[$cnf( $equal(add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,X_40))),add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) )],[refute_0_195,refute_0_492]) ).
cnf(refute_0_494,plain,
add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) = add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))),
introduced(tautology,[refl,[$fot(add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))))]]) ).
cnf(refute_0_495,plain,
( add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) != add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))
| add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) != add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))))
| add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) = add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))),add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))))) ),[1,1],$fot(add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))))]]) ).
cnf(refute_0_496,plain,
( add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))) != add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))
| add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) = add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))),add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) = add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))),
inference(resolve,[$cnf( $equal(add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b)))),add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
( add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) != add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))))
| add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) != additive_identity
| add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))),additive_identity) ),[0],$fot(add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))))]]) ).
cnf(refute_0_499,plain,
( add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))) != additive_identity
| add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))),add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,add(c,X_40)),additive_inverse(multiply(a,add(add(X_40,b),b))))),additive_identity) )],[refute_0_194,refute_0_499]) ).
cnf(refute_0_501,plain,
add(b,X_40) = add(X_40,b),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(b)),bind(Y,$fot(X_40))]]) ).
cnf(refute_0_502,plain,
( add(b,X_40) != add(X_40,b)
| add(X_40,b) = add(b,X_40) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(b,X_40))),bind(Y0,$fot(add(X_40,b)))]]) ).
cnf(refute_0_503,plain,
add(X_40,b) = add(b,X_40),
inference(resolve,[$cnf( $equal(add(b,X_40),add(X_40,b)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
( multiply(a,add(c,X_40)) != multiply(a,add(X_40,b))
| add(X_40,b) != add(b,X_40)
| multiply(a,add(c,X_40)) = multiply(a,add(b,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(c,X_40)),multiply(a,add(X_40,b))) ),[1,1],$fot(add(b,X_40))]]) ).
cnf(refute_0_505,plain,
( multiply(a,add(c,X_40)) != multiply(a,add(X_40,b))
| multiply(a,add(c,X_40)) = multiply(a,add(b,X_40)) ),
inference(resolve,[$cnf( $equal(add(X_40,b),add(b,X_40)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(a,add(c,X_40)) = multiply(a,add(b,X_40)),
inference(resolve,[$cnf( $equal(multiply(a,add(c,X_40)),multiply(a,add(X_40,b))) )],[refute_0_189,refute_0_505]) ).
cnf(refute_0_507,plain,
add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) = add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))),
introduced(tautology,[refl,[$fot(add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))))]]) ).
cnf(refute_0_508,plain,
( multiply(a,add(c,X_40)) != multiply(a,add(b,X_40))
| add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) != add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))
| add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) = add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))),add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) ),[1,1],$fot(multiply(a,add(b,X_40)))]]) ).
cnf(refute_0_509,plain,
( multiply(a,add(c,X_40)) != multiply(a,add(b,X_40))
| add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) = add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40))) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))),add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) = add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40))),
inference(resolve,[$cnf( $equal(multiply(a,add(c,X_40)),multiply(a,add(b,X_40))) )],[refute_0_506,refute_0_509]) ).
cnf(refute_0_511,plain,
add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) = add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))),
introduced(tautology,[refl,[$fot(add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))))]]) ).
cnf(refute_0_512,plain,
( add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) != add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))
| add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) != add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))))
| add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) = add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))),add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))))) ),[1,1],$fot(add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40))))]]) ).
cnf(refute_0_513,plain,
( add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))) != add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))
| add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) = add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))) ),
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))),add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) = add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))),
inference(resolve,[$cnf( $equal(add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40))),add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
( add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) != add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40))))
| add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) != additive_identity
| add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))),additive_identity) ),[0],$fot(add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))))]]) ).
cnf(refute_0_516,plain,
( add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))) != additive_identity
| add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))),add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40))))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(b,X_40)))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,X_40)),multiply(a,add(c,X_40)))),additive_identity) )],[refute_0_500,refute_0_516]) ).
cnf(refute_0_518,plain,
add(c,add(additive_inverse(multiply(a,additive_inverse(c))),multiply(a,add(b,additive_inverse(c))))) = additive_identity,
inference(subst,[],[refute_0_517:[bind(X_40,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_519,plain,
multiply(a,add(c,additive_inverse(c))) = multiply(a,add(additive_inverse(c),b)),
inference(subst,[],[refute_0_188:[bind(X_29,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_520,plain,
add(c,additive_inverse(c)) = additive_identity,
inference(subst,[],[right_additive_inverse:[bind(X,$fot(c))]]) ).
cnf(refute_0_521,plain,
( multiply(a,add(c,additive_inverse(c))) != multiply(a,add(additive_inverse(c),b))
| add(c,additive_inverse(c)) != additive_identity
| multiply(a,additive_identity) = multiply(a,add(additive_inverse(c),b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(c,additive_inverse(c))),multiply(a,add(additive_inverse(c),b))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_522,plain,
( multiply(a,add(c,additive_inverse(c))) != multiply(a,add(additive_inverse(c),b))
| multiply(a,additive_identity) = multiply(a,add(additive_inverse(c),b)) ),
inference(resolve,[$cnf( $equal(add(c,additive_inverse(c)),additive_identity) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
multiply(a,additive_identity) = multiply(a,add(additive_inverse(c),b)),
inference(resolve,[$cnf( $equal(multiply(a,add(c,additive_inverse(c))),multiply(a,add(additive_inverse(c),b))) )],[refute_0_519,refute_0_522]) ).
cnf(refute_0_524,plain,
add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,add(additive_identity,b))))) = additive_identity,
inference(subst,[],[refute_0_165:[bind(X_30,$fot(additive_identity))]]) ).
cnf(refute_0_525,plain,
add(additive_identity,b) = b,
inference(subst,[],[left_additive_identity:[bind(X,$fot(b))]]) ).
cnf(refute_0_526,plain,
( add(additive_identity,b) != b
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,add(additive_identity,b))))) != additive_identity
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,add(additive_identity,b))))),additive_identity) ),[0,1,1,0,1],$fot(b)]]) ).
cnf(refute_0_527,plain,
( add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,add(additive_identity,b))))) != additive_identity
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(additive_identity,b),b) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,add(additive_identity,b))))),additive_identity) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
( X_6 != add(X_7,add(additive_inverse(X_7),X_6))
| add(X_7,add(additive_inverse(X_7),X_6)) = X_6 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_6)),bind(Y0,$fot(add(X_7,add(additive_inverse(X_7),X_6))))]]) ).
cnf(refute_0_530,plain,
add(X_7,add(additive_inverse(X_7),X_6)) = X_6,
inference(resolve,[$cnf( $equal(X_6,add(X_7,add(additive_inverse(X_7),X_6))) )],[refute_0_135,refute_0_529]) ).
cnf(refute_0_531,plain,
add(c,add(additive_inverse(c),multiply(a,additive_identity))) = multiply(a,additive_identity),
inference(subst,[],[refute_0_530:[bind(X_6,$fot(multiply(a,additive_identity))),bind(X_7,$fot(c))]]) ).
cnf(refute_0_532,plain,
add(multiply(a,additive_identity),additive_inverse(c)) = add(additive_inverse(c),multiply(a,additive_identity)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_inverse(c))),bind(Y,$fot(multiply(a,additive_identity)))]]) ).
cnf(refute_0_533,plain,
additive_inverse(multiply(a,b)) = additive_inverse(multiply(a,b)),
introduced(tautology,[refl,[$fot(additive_inverse(multiply(a,b)))]]) ).
cnf(refute_0_534,plain,
( multiply(a,b) != c
| additive_inverse(multiply(a,b)) != additive_inverse(multiply(a,b))
| additive_inverse(multiply(a,b)) = additive_inverse(c) ),
introduced(tautology,[equality,[$cnf( $equal(additive_inverse(multiply(a,b)),additive_inverse(multiply(a,b))) ),[1,0],$fot(c)]]) ).
cnf(refute_0_535,plain,
( multiply(a,b) != c
| additive_inverse(multiply(a,b)) = additive_inverse(c) ),
inference(resolve,[$cnf( $equal(additive_inverse(multiply(a,b)),additive_inverse(multiply(a,b))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
additive_inverse(multiply(a,b)) = additive_inverse(c),
inference(resolve,[$cnf( $equal(multiply(a,b),c) )],[a_times_b_is_c,refute_0_535]) ).
cnf(refute_0_537,plain,
add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) = add(multiply(a,additive_identity),additive_inverse(multiply(a,b))),
introduced(tautology,[refl,[$fot(add(multiply(a,additive_identity),additive_inverse(multiply(a,b))))]]) ).
cnf(refute_0_538,plain,
( add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) != add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))
| additive_inverse(multiply(a,b)) != additive_inverse(c)
| add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) = add(multiply(a,additive_identity),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(multiply(a,b))),add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) ),[1,1],$fot(additive_inverse(c))]]) ).
cnf(refute_0_539,plain,
( additive_inverse(multiply(a,b)) != additive_inverse(c)
| add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) = add(multiply(a,additive_identity),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(multiply(a,b))),add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) = add(multiply(a,additive_identity),additive_inverse(c)),
inference(resolve,[$cnf( $equal(additive_inverse(multiply(a,b)),additive_inverse(c)) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
( add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) != add(multiply(a,additive_identity),additive_inverse(c))
| add(multiply(a,additive_identity),additive_inverse(c)) != add(additive_inverse(c),multiply(a,additive_identity))
| add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) = add(additive_inverse(c),multiply(a,additive_identity)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,additive_identity),additive_inverse(multiply(a,b))))),bind(Y0,$fot(add(multiply(a,additive_identity),additive_inverse(c)))),bind(Z0,$fot(add(additive_inverse(c),multiply(a,additive_identity))))]]) ).
cnf(refute_0_542,plain,
( add(multiply(a,additive_identity),additive_inverse(c)) != add(additive_inverse(c),multiply(a,additive_identity))
| add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) = add(additive_inverse(c),multiply(a,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(multiply(a,b))),add(multiply(a,additive_identity),additive_inverse(c))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) = add(additive_inverse(c),multiply(a,additive_identity)),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(c)),add(additive_inverse(c),multiply(a,additive_identity))) )],[refute_0_532,refute_0_542]) ).
cnf(refute_0_544,plain,
add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))),
introduced(tautology,[refl,[$fot(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))))]]) ).
cnf(refute_0_545,plain,
( add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) != add(additive_inverse(c),multiply(a,additive_identity))
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) != add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b))))
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = add(c,add(additive_inverse(c),multiply(a,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))),add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b))))) ),[1,1],$fot(add(additive_inverse(c),multiply(a,additive_identity)))]]) ).
cnf(refute_0_546,plain,
( add(multiply(a,additive_identity),additive_inverse(multiply(a,b))) != add(additive_inverse(c),multiply(a,additive_identity))
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = add(c,add(additive_inverse(c),multiply(a,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))),add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b))))) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = add(c,add(additive_inverse(c),multiply(a,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(multiply(a,b))),add(additive_inverse(c),multiply(a,additive_identity))) )],[refute_0_543,refute_0_546]) ).
cnf(refute_0_548,plain,
( add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) != add(c,add(additive_inverse(c),multiply(a,additive_identity)))
| add(c,add(additive_inverse(c),multiply(a,additive_identity))) != multiply(a,additive_identity)
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = multiply(a,additive_identity) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))))),bind(Y0,$fot(add(c,add(additive_inverse(c),multiply(a,additive_identity))))),bind(Z0,$fot(multiply(a,additive_identity)))]]) ).
cnf(refute_0_549,plain,
( add(c,add(additive_inverse(c),multiply(a,additive_identity))) != multiply(a,additive_identity)
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = multiply(a,additive_identity) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))),add(c,add(additive_inverse(c),multiply(a,additive_identity)))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) = multiply(a,additive_identity),
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(c),multiply(a,additive_identity))),multiply(a,additive_identity)) )],[refute_0_531,refute_0_549]) ).
cnf(refute_0_551,plain,
( add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) != multiply(a,additive_identity)
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) != additive_identity
| multiply(a,additive_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))),additive_identity) ),[0],$fot(multiply(a,additive_identity))]]) ).
cnf(refute_0_552,plain,
( add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))) != additive_identity
| multiply(a,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))),multiply(a,additive_identity)) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(a,additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,b)))),additive_identity) )],[refute_0_528,refute_0_552]) ).
cnf(refute_0_554,plain,
( multiply(a,additive_identity) != multiply(a,add(additive_inverse(c),b))
| multiply(a,additive_identity) != additive_identity
| additive_identity = multiply(a,add(additive_inverse(c),b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,additive_identity),multiply(a,add(additive_inverse(c),b))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_555,plain,
( multiply(a,additive_identity) != multiply(a,add(additive_inverse(c),b))
| additive_identity = multiply(a,add(additive_inverse(c),b)) ),
inference(resolve,[$cnf( $equal(multiply(a,additive_identity),additive_identity) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(a,add(additive_inverse(c),b)) = multiply(a,add(b,additive_inverse(c))),
inference(subst,[],[refute_0_478:[bind(X_38,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_557,plain,
( multiply(a,add(additive_inverse(c),b)) != multiply(a,add(b,additive_inverse(c)))
| additive_identity != multiply(a,add(additive_inverse(c),b))
| additive_identity = multiply(a,add(b,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(a,add(additive_inverse(c),b))) ),[1],$fot(multiply(a,add(b,additive_inverse(c))))]]) ).
cnf(refute_0_558,plain,
( additive_identity != multiply(a,add(additive_inverse(c),b))
| additive_identity = multiply(a,add(b,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(additive_inverse(c),b)),multiply(a,add(b,additive_inverse(c)))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
( multiply(a,additive_identity) != multiply(a,add(additive_inverse(c),b))
| additive_identity = multiply(a,add(b,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(additive_identity,multiply(a,add(additive_inverse(c),b))) )],[refute_0_555,refute_0_558]) ).
cnf(refute_0_560,plain,
additive_identity = multiply(a,add(b,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(a,additive_identity),multiply(a,add(additive_inverse(c),b))) )],[refute_0_523,refute_0_559]) ).
cnf(refute_0_561,plain,
( additive_identity != multiply(a,add(b,additive_inverse(c)))
| multiply(a,add(b,additive_inverse(c))) = additive_identity ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(a,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_562,plain,
multiply(a,add(b,additive_inverse(c))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(a,add(b,additive_inverse(c)))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
( multiply(a,add(b,additive_inverse(c))) != additive_identity
| add(c,add(additive_inverse(multiply(a,additive_inverse(c))),multiply(a,add(b,additive_inverse(c))))) != additive_identity
| add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(c))),multiply(a,add(b,additive_inverse(c))))),additive_identity) ),[0,1,1],$fot(additive_identity)]]) ).
cnf(refute_0_564,plain,
( add(c,add(additive_inverse(multiply(a,additive_inverse(c))),multiply(a,add(b,additive_inverse(c))))) != additive_identity
| add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,additive_inverse(c))),additive_identity) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(c))),multiply(a,add(b,additive_inverse(c))))),additive_identity) )],[refute_0_518,refute_0_564]) ).
cnf(refute_0_566,plain,
add(additive_identity,add(c,additive_inverse(multiply(a,additive_inverse(c))))) = add(c,additive_inverse(multiply(a,additive_inverse(c)))),
inference(subst,[],[left_additive_identity:[bind(X,$fot(add(c,additive_inverse(multiply(a,additive_inverse(c))))))]]) ).
cnf(refute_0_567,plain,
add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))) = add(additive_identity,add(c,additive_inverse(multiply(a,additive_inverse(c))))),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(additive_identity)),bind(X_7,$fot(c)),bind(X_8,$fot(additive_inverse(multiply(a,additive_inverse(c)))))]]) ).
cnf(refute_0_568,plain,
( add(additive_identity,add(c,additive_inverse(multiply(a,additive_inverse(c))))) != add(c,additive_inverse(multiply(a,additive_inverse(c))))
| add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))) != add(additive_identity,add(c,additive_inverse(multiply(a,additive_inverse(c)))))
| add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))) = add(c,additive_inverse(multiply(a,additive_inverse(c)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))))),bind(Y0,$fot(add(additive_identity,add(c,additive_inverse(multiply(a,additive_inverse(c))))))),bind(Z0,$fot(add(c,additive_inverse(multiply(a,additive_inverse(c))))))]]) ).
cnf(refute_0_569,plain,
( add(additive_identity,add(c,additive_inverse(multiply(a,additive_inverse(c))))) != add(c,additive_inverse(multiply(a,additive_inverse(c))))
| add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))) = add(c,additive_inverse(multiply(a,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))),add(additive_identity,add(c,additive_inverse(multiply(a,additive_inverse(c)))))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))) = add(c,additive_inverse(multiply(a,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(add(additive_identity,add(c,additive_inverse(multiply(a,additive_inverse(c))))),add(c,additive_inverse(multiply(a,additive_inverse(c))))) )],[refute_0_566,refute_0_569]) ).
cnf(refute_0_571,plain,
add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) = add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(c)),bind(X_7,$fot(additive_inverse(multiply(a,additive_inverse(c))))),bind(X_8,$fot(additive_identity))]]) ).
cnf(refute_0_572,plain,
( add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))) != add(c,additive_inverse(multiply(a,additive_inverse(c))))
| add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) != add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c)))))
| add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) = add(c,additive_inverse(multiply(a,additive_inverse(c)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)))),bind(Y0,$fot(add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))))),bind(Z0,$fot(add(c,additive_inverse(multiply(a,additive_inverse(c))))))]]) ).
cnf(refute_0_573,plain,
( add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))) != add(c,additive_inverse(multiply(a,additive_inverse(c))))
| add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) = add(c,additive_inverse(multiply(a,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)),add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c)))))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) = add(c,additive_inverse(multiply(a,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(add(c,add(additive_identity,additive_inverse(multiply(a,additive_inverse(c))))),add(c,additive_inverse(multiply(a,additive_inverse(c))))) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
( add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) != add(c,additive_inverse(multiply(a,additive_inverse(c))))
| add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) != additive_identity
| add(c,additive_inverse(multiply(a,additive_inverse(c)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)),additive_identity) ),[0],$fot(add(c,additive_inverse(multiply(a,additive_inverse(c)))))]]) ).
cnf(refute_0_576,plain,
( add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)) != additive_identity
| add(c,additive_inverse(multiply(a,additive_inverse(c)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)),add(c,additive_inverse(multiply(a,additive_inverse(c))))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
add(c,additive_inverse(multiply(a,additive_inverse(c)))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(c))),additive_identity)),additive_identity) )],[refute_0_565,refute_0_576]) ).
cnf(refute_0_578,plain,
( add(c,additive_inverse(multiply(a,additive_inverse(c)))) != additive_identity
| c != add(multiply(a,additive_inverse(c)),add(c,additive_inverse(multiply(a,additive_inverse(c)))))
| c = add(multiply(a,additive_inverse(c)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(c,add(multiply(a,additive_inverse(c)),add(c,additive_inverse(multiply(a,additive_inverse(c)))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_579,plain,
( c != add(multiply(a,additive_inverse(c)),add(c,additive_inverse(multiply(a,additive_inverse(c)))))
| c = add(multiply(a,additive_inverse(c)),additive_identity) ),
inference(resolve,[$cnf( $equal(add(c,additive_inverse(multiply(a,additive_inverse(c)))),additive_identity) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
c = add(multiply(a,additive_inverse(c)),additive_identity),
inference(resolve,[$cnf( $equal(c,add(multiply(a,additive_inverse(c)),add(c,additive_inverse(multiply(a,additive_inverse(c)))))) )],[refute_0_143,refute_0_579]) ).
cnf(refute_0_581,plain,
add(additive_identity,multiply(a,additive_inverse(c))) = multiply(a,additive_inverse(c)),
inference(subst,[],[left_additive_identity:[bind(X,$fot(multiply(a,additive_inverse(c))))]]) ).
cnf(refute_0_582,plain,
add(multiply(a,additive_inverse(c)),additive_identity) = add(additive_identity,multiply(a,additive_inverse(c))),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(multiply(a,additive_inverse(c))))]]) ).
cnf(refute_0_583,plain,
( add(multiply(a,additive_inverse(c)),additive_identity) != add(additive_identity,multiply(a,additive_inverse(c)))
| add(additive_identity,multiply(a,additive_inverse(c))) != multiply(a,additive_inverse(c))
| add(multiply(a,additive_inverse(c)),additive_identity) = multiply(a,additive_inverse(c)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,additive_inverse(c)),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(a,additive_inverse(c))))),bind(Z0,$fot(multiply(a,additive_inverse(c))))]]) ).
cnf(refute_0_584,plain,
( add(additive_identity,multiply(a,additive_inverse(c))) != multiply(a,additive_inverse(c))
| add(multiply(a,additive_inverse(c)),additive_identity) = multiply(a,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_inverse(c)),additive_identity),add(additive_identity,multiply(a,additive_inverse(c)))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
add(multiply(a,additive_inverse(c)),additive_identity) = multiply(a,additive_inverse(c)),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(a,additive_inverse(c))),multiply(a,additive_inverse(c))) )],[refute_0_581,refute_0_584]) ).
cnf(refute_0_586,plain,
( add(multiply(a,additive_inverse(c)),additive_identity) != multiply(a,additive_inverse(c))
| c != add(multiply(a,additive_inverse(c)),additive_identity)
| c = multiply(a,additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(c,add(multiply(a,additive_inverse(c)),additive_identity)) ),[1],$fot(multiply(a,additive_inverse(c)))]]) ).
cnf(refute_0_587,plain,
( c != add(multiply(a,additive_inverse(c)),additive_identity)
| c = multiply(a,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_inverse(c)),additive_identity),multiply(a,additive_inverse(c))) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
c = multiply(a,additive_inverse(c)),
inference(resolve,[$cnf( $equal(c,add(multiply(a,additive_inverse(c)),additive_identity)) )],[refute_0_580,refute_0_587]) ).
cnf(refute_0_589,plain,
( c != multiply(a,additive_inverse(c))
| multiply(a,additive_inverse(c)) = c ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(c)),bind(Y0,$fot(multiply(a,additive_inverse(c))))]]) ).
cnf(refute_0_590,plain,
multiply(a,additive_inverse(c)) = c,
inference(resolve,[$cnf( $equal(c,multiply(a,additive_inverse(c))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
( multiply(add(X_49,a),additive_inverse(c)) != add(multiply(X_49,additive_inverse(c)),multiply(a,additive_inverse(c)))
| multiply(a,additive_inverse(c)) != c
| multiply(add(X_49,a),additive_inverse(c)) = add(multiply(X_49,additive_inverse(c)),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,a),additive_inverse(c)),add(multiply(X_49,additive_inverse(c)),multiply(a,additive_inverse(c)))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_592,plain,
( multiply(add(X_49,a),additive_inverse(c)) != add(multiply(X_49,additive_inverse(c)),multiply(a,additive_inverse(c)))
| multiply(add(X_49,a),additive_inverse(c)) = add(multiply(X_49,additive_inverse(c)),c) ),
inference(resolve,[$cnf( $equal(multiply(a,additive_inverse(c)),c) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(add(X_49,a),additive_inverse(c)) = add(multiply(X_49,additive_inverse(c)),c),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),additive_inverse(c)),add(multiply(X_49,additive_inverse(c)),multiply(a,additive_inverse(c)))) )],[refute_0_107,refute_0_592]) ).
cnf(refute_0_594,plain,
add(multiply(X_49,additive_inverse(c)),c) = add(c,multiply(X_49,additive_inverse(c))),
inference(subst,[],[refute_0_9:[bind(X,$fot(c)),bind(Y,$fot(multiply(X_49,additive_inverse(c))))]]) ).
cnf(refute_0_595,plain,
( multiply(add(X_49,a),additive_inverse(c)) != add(multiply(X_49,additive_inverse(c)),c)
| add(multiply(X_49,additive_inverse(c)),c) != add(c,multiply(X_49,additive_inverse(c)))
| multiply(add(X_49,a),additive_inverse(c)) = add(c,multiply(X_49,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,a),additive_inverse(c)),add(c,multiply(X_49,additive_inverse(c)))) ),[0],$fot(add(multiply(X_49,additive_inverse(c)),c))]]) ).
cnf(refute_0_596,plain,
( multiply(add(X_49,a),additive_inverse(c)) != add(multiply(X_49,additive_inverse(c)),c)
| multiply(add(X_49,a),additive_inverse(c)) = add(c,multiply(X_49,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,additive_inverse(c)),c),add(c,multiply(X_49,additive_inverse(c)))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(add(X_49,a),additive_inverse(c)) = add(c,multiply(X_49,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),additive_inverse(c)),add(multiply(X_49,additive_inverse(c)),c)) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(add(b,a),additive_inverse(c)) = add(c,multiply(b,additive_inverse(c))),
inference(subst,[],[refute_0_597:[bind(X_49,$fot(b))]]) ).
cnf(refute_0_599,plain,
( multiply(add(b,a),additive_inverse(c)) != add(c,multiply(b,additive_inverse(c)))
| add(c,multiply(b,additive_inverse(c))) = multiply(add(b,a),additive_inverse(c)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(b,a),additive_inverse(c)))),bind(Y0,$fot(add(c,multiply(b,additive_inverse(c)))))]]) ).
cnf(refute_0_600,plain,
add(c,multiply(b,additive_inverse(c))) = multiply(add(b,a),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(b,a),additive_inverse(c)),add(c,multiply(b,additive_inverse(c)))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
( multiply(a,add(c,multiply(b,additive_inverse(c)))) != add(multiply(a,c),multiply(c,additive_inverse(c)))
| add(c,multiply(b,additive_inverse(c))) != multiply(add(b,a),additive_inverse(c))
| multiply(a,multiply(add(b,a),additive_inverse(c))) = add(multiply(a,c),multiply(c,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(c,multiply(b,additive_inverse(c)))),add(multiply(a,c),multiply(c,additive_inverse(c)))) ),[0,1],$fot(multiply(add(b,a),additive_inverse(c)))]]) ).
cnf(refute_0_602,plain,
( multiply(a,add(c,multiply(b,additive_inverse(c)))) != add(multiply(a,c),multiply(c,additive_inverse(c)))
| multiply(a,multiply(add(b,a),additive_inverse(c))) = add(multiply(a,c),multiply(c,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(c,multiply(b,additive_inverse(c))),multiply(add(b,a),additive_inverse(c))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
multiply(a,multiply(add(b,a),additive_inverse(c))) = add(multiply(a,c),multiply(c,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(a,add(c,multiply(b,additive_inverse(c)))),add(multiply(a,c),multiply(c,additive_inverse(c)))) )],[refute_0_106,refute_0_602]) ).
cnf(refute_0_604,plain,
multiply(a,multiply(add(a,b),Z)) = multiply(multiply(a,add(a,b)),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(a)),bind(Y,$fot(add(a,b)))]]) ).
cnf(refute_0_605,plain,
multiply(a,add(a,b)) = add(c,multiply(a,a)),
inference(subst,[],[refute_0_159:[bind(X_28,$fot(a))]]) ).
cnf(refute_0_606,plain,
multiply(a,a) = a,
inference(subst,[],[boolean_ring:[bind(X,$fot(a))]]) ).
cnf(refute_0_607,plain,
( multiply(a,add(a,b)) != add(c,multiply(a,a))
| multiply(a,a) != a
| multiply(a,add(a,b)) = add(c,a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(a,b)),add(c,multiply(a,a))) ),[1,1],$fot(a)]]) ).
cnf(refute_0_608,plain,
( multiply(a,add(a,b)) != add(c,multiply(a,a))
| multiply(a,add(a,b)) = add(c,a) ),
inference(resolve,[$cnf( $equal(multiply(a,a),a) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(a,add(a,b)) = add(c,a),
inference(resolve,[$cnf( $equal(multiply(a,add(a,b)),add(c,multiply(a,a))) )],[refute_0_605,refute_0_608]) ).
cnf(refute_0_610,plain,
add(c,a) = add(a,c),
inference(subst,[],[refute_0_9:[bind(X,$fot(a)),bind(Y,$fot(c))]]) ).
cnf(refute_0_611,plain,
( multiply(a,add(a,b)) != add(c,a)
| add(c,a) != add(a,c)
| multiply(a,add(a,b)) = add(a,c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(a,b)),add(a,c)) ),[0],$fot(add(c,a))]]) ).
cnf(refute_0_612,plain,
( multiply(a,add(a,b)) != add(c,a)
| multiply(a,add(a,b)) = add(a,c) ),
inference(resolve,[$cnf( $equal(add(c,a),add(a,c)) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
multiply(a,add(a,b)) = add(a,c),
inference(resolve,[$cnf( $equal(multiply(a,add(a,b)),add(c,a)) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
( multiply(a,multiply(add(a,b),Z)) != multiply(multiply(a,add(a,b)),Z)
| multiply(a,add(a,b)) != add(a,c)
| multiply(a,multiply(add(a,b),Z)) = multiply(add(a,c),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(add(a,b),Z)),multiply(multiply(a,add(a,b)),Z)) ),[1,0],$fot(add(a,c))]]) ).
cnf(refute_0_615,plain,
( multiply(a,multiply(add(a,b),Z)) != multiply(multiply(a,add(a,b)),Z)
| multiply(a,multiply(add(a,b),Z)) = multiply(add(a,c),Z) ),
inference(resolve,[$cnf( $equal(multiply(a,add(a,b)),add(a,c)) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
multiply(a,multiply(add(a,b),Z)) = multiply(add(a,c),Z),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(a,b),Z)),multiply(multiply(a,add(a,b)),Z)) )],[refute_0_604,refute_0_615]) ).
cnf(refute_0_617,plain,
multiply(a,multiply(add(a,b),additive_inverse(c))) = multiply(add(a,c),additive_inverse(c)),
inference(subst,[],[refute_0_616:[bind(Z,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_618,plain,
add(multiply(X_50,X_51),multiply(X_49,X_51)) = add(multiply(X_49,X_51),multiply(X_50,X_51)),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(multiply(X_50,X_51))),bind(Y,$fot(multiply(X_49,X_51)))]]) ).
cnf(refute_0_619,plain,
multiply(add(X_49,X_50),X_51) = add(multiply(X_49,X_51),multiply(X_50,X_51)),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(X_50)),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_620,plain,
( multiply(add(X_49,X_50),X_51) != add(multiply(X_49,X_51),multiply(X_50,X_51))
| add(multiply(X_49,X_51),multiply(X_50,X_51)) = multiply(add(X_49,X_50),X_51) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,X_50),X_51))),bind(Y0,$fot(add(multiply(X_49,X_51),multiply(X_50,X_51))))]]) ).
cnf(refute_0_621,plain,
add(multiply(X_49,X_51),multiply(X_50,X_51)) = multiply(add(X_49,X_50),X_51),
inference(resolve,[$cnf( $equal(multiply(add(X_49,X_50),X_51),add(multiply(X_49,X_51),multiply(X_50,X_51))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
( add(multiply(X_49,X_51),multiply(X_50,X_51)) != multiply(add(X_49,X_50),X_51)
| add(multiply(X_50,X_51),multiply(X_49,X_51)) != add(multiply(X_49,X_51),multiply(X_50,X_51))
| add(multiply(X_50,X_51),multiply(X_49,X_51)) = multiply(add(X_49,X_50),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_50,X_51),multiply(X_49,X_51)),add(multiply(X_49,X_51),multiply(X_50,X_51))) ),[1],$fot(multiply(add(X_49,X_50),X_51))]]) ).
cnf(refute_0_623,plain,
( add(multiply(X_50,X_51),multiply(X_49,X_51)) != add(multiply(X_49,X_51),multiply(X_50,X_51))
| add(multiply(X_50,X_51),multiply(X_49,X_51)) = multiply(add(X_49,X_50),X_51) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,X_51),multiply(X_50,X_51)),multiply(add(X_49,X_50),X_51)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
add(multiply(X_50,X_51),multiply(X_49,X_51)) = multiply(add(X_49,X_50),X_51),
inference(resolve,[$cnf( $equal(add(multiply(X_50,X_51),multiply(X_49,X_51)),add(multiply(X_49,X_51),multiply(X_50,X_51))) )],[refute_0_618,refute_0_623]) ).
cnf(refute_0_625,plain,
add(multiply(X_50,X_51),multiply(X_49,X_51)) = multiply(add(X_50,X_49),X_51),
inference(subst,[],[refute_0_308:[bind(X,$fot(X_50)),bind(Y,$fot(X_49)),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_626,plain,
( add(multiply(X_50,X_51),multiply(X_49,X_51)) != multiply(add(X_49,X_50),X_51)
| add(multiply(X_50,X_51),multiply(X_49,X_51)) != multiply(add(X_50,X_49),X_51)
| multiply(add(X_50,X_49),X_51) = multiply(add(X_49,X_50),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_50,X_51),multiply(X_49,X_51)),multiply(add(X_49,X_50),X_51)) ),[0],$fot(multiply(add(X_50,X_49),X_51))]]) ).
cnf(refute_0_627,plain,
( add(multiply(X_50,X_51),multiply(X_49,X_51)) != multiply(add(X_49,X_50),X_51)
| multiply(add(X_50,X_49),X_51) = multiply(add(X_49,X_50),X_51) ),
inference(resolve,[$cnf( $equal(add(multiply(X_50,X_51),multiply(X_49,X_51)),multiply(add(X_50,X_49),X_51)) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(add(X_50,X_49),X_51) = multiply(add(X_49,X_50),X_51),
inference(resolve,[$cnf( $equal(add(multiply(X_50,X_51),multiply(X_49,X_51)),multiply(add(X_49,X_50),X_51)) )],[refute_0_624,refute_0_627]) ).
cnf(refute_0_629,plain,
( multiply(add(X_50,X_49),X_51) != multiply(add(X_49,X_50),X_51)
| multiply(add(X_49,X_50),X_51) = multiply(add(X_50,X_49),X_51) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_50,X_49),X_51))),bind(Y0,$fot(multiply(add(X_49,X_50),X_51)))]]) ).
cnf(refute_0_630,plain,
multiply(add(X_49,X_50),X_51) = multiply(add(X_50,X_49),X_51),
inference(resolve,[$cnf( $equal(multiply(add(X_50,X_49),X_51),multiply(add(X_49,X_50),X_51)) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
multiply(add(b,a),additive_inverse(c)) = multiply(add(a,b),additive_inverse(c)),
inference(subst,[],[refute_0_630:[bind(X_49,$fot(b)),bind(X_50,$fot(a)),bind(X_51,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_632,plain,
multiply(a,multiply(add(b,a),additive_inverse(c))) = multiply(a,multiply(add(b,a),additive_inverse(c))),
introduced(tautology,[refl,[$fot(multiply(a,multiply(add(b,a),additive_inverse(c))))]]) ).
cnf(refute_0_633,plain,
( multiply(add(b,a),additive_inverse(c)) != multiply(add(a,b),additive_inverse(c))
| multiply(a,multiply(add(b,a),additive_inverse(c))) != multiply(a,multiply(add(b,a),additive_inverse(c)))
| multiply(a,multiply(add(b,a),additive_inverse(c))) = multiply(a,multiply(add(a,b),additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(c))),multiply(a,multiply(add(b,a),additive_inverse(c)))) ),[1,1],$fot(multiply(add(a,b),additive_inverse(c)))]]) ).
cnf(refute_0_634,plain,
( multiply(add(b,a),additive_inverse(c)) != multiply(add(a,b),additive_inverse(c))
| multiply(a,multiply(add(b,a),additive_inverse(c))) = multiply(a,multiply(add(a,b),additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(c))),multiply(a,multiply(add(b,a),additive_inverse(c)))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(a,multiply(add(b,a),additive_inverse(c))) = multiply(a,multiply(add(a,b),additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(add(b,a),additive_inverse(c)),multiply(add(a,b),additive_inverse(c))) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
( multiply(a,multiply(add(a,b),additive_inverse(c))) != multiply(add(a,c),additive_inverse(c))
| multiply(a,multiply(add(b,a),additive_inverse(c))) != multiply(a,multiply(add(a,b),additive_inverse(c)))
| multiply(a,multiply(add(b,a),additive_inverse(c))) = multiply(add(a,c),additive_inverse(c)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,multiply(add(b,a),additive_inverse(c))))),bind(Y0,$fot(multiply(a,multiply(add(a,b),additive_inverse(c))))),bind(Z0,$fot(multiply(add(a,c),additive_inverse(c))))]]) ).
cnf(refute_0_637,plain,
( multiply(a,multiply(add(a,b),additive_inverse(c))) != multiply(add(a,c),additive_inverse(c))
| multiply(a,multiply(add(b,a),additive_inverse(c))) = multiply(add(a,c),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(c))),multiply(a,multiply(add(a,b),additive_inverse(c)))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
multiply(a,multiply(add(b,a),additive_inverse(c))) = multiply(add(a,c),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(a,b),additive_inverse(c))),multiply(add(a,c),additive_inverse(c))) )],[refute_0_617,refute_0_637]) ).
cnf(refute_0_639,plain,
( multiply(a,multiply(add(b,a),additive_inverse(c))) != multiply(add(a,c),additive_inverse(c))
| multiply(a,multiply(add(b,a),additive_inverse(c))) != add(multiply(a,c),multiply(c,additive_inverse(c)))
| multiply(add(a,c),additive_inverse(c)) = add(multiply(a,c),multiply(c,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(c))),add(multiply(a,c),multiply(c,additive_inverse(c)))) ),[0],$fot(multiply(add(a,c),additive_inverse(c)))]]) ).
cnf(refute_0_640,plain,
( multiply(a,multiply(add(b,a),additive_inverse(c))) != add(multiply(a,c),multiply(c,additive_inverse(c)))
| multiply(add(a,c),additive_inverse(c)) = add(multiply(a,c),multiply(c,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(c))),multiply(add(a,c),additive_inverse(c))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
multiply(a,multiply(b,add(b,additive_inverse(c)))) = multiply(c,add(b,additive_inverse(c))),
inference(subst,[],[refute_0_27:[bind(X_16,$fot(add(b,additive_inverse(c))))]]) ).
cnf(refute_0_642,plain,
multiply(X_32,add(X_31,X_32)) = add(X_32,multiply(X_32,X_31)),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(X_31)),bind(X_29,$fot(X_32))]]) ).
cnf(refute_0_643,plain,
add(X_32,X_31) = add(X_31,X_32),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(X_32)),bind(Y,$fot(X_31))]]) ).
cnf(refute_0_644,plain,
( add(X_32,X_31) != add(X_31,X_32)
| add(X_31,X_32) = add(X_32,X_31) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_32,X_31))),bind(Y0,$fot(add(X_31,X_32)))]]) ).
cnf(refute_0_645,plain,
add(X_31,X_32) = add(X_32,X_31),
inference(resolve,[$cnf( $equal(add(X_32,X_31),add(X_31,X_32)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
( multiply(X_32,add(X_31,X_32)) != add(X_32,multiply(X_32,X_31))
| add(X_31,X_32) != add(X_32,X_31)
| multiply(X_32,add(X_32,X_31)) = add(X_32,multiply(X_32,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,add(X_31,X_32)),add(X_32,multiply(X_32,X_31))) ),[0,1],$fot(add(X_32,X_31))]]) ).
cnf(refute_0_647,plain,
( multiply(X_32,add(X_31,X_32)) != add(X_32,multiply(X_32,X_31))
| multiply(X_32,add(X_32,X_31)) = add(X_32,multiply(X_32,X_31)) ),
inference(resolve,[$cnf( $equal(add(X_31,X_32),add(X_32,X_31)) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
multiply(X_32,add(X_32,X_31)) = add(X_32,multiply(X_32,X_31)),
inference(resolve,[$cnf( $equal(multiply(X_32,add(X_31,X_32)),add(X_32,multiply(X_32,X_31))) )],[refute_0_642,refute_0_647]) ).
cnf(refute_0_649,plain,
add(X_32,multiply(X_32,X_31)) = multiply(X_32,add(X_31,X_32)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(X_31)),bind(X_29,$fot(X_32))]]) ).
cnf(refute_0_650,plain,
( multiply(X_32,add(X_32,X_31)) != add(X_32,multiply(X_32,X_31))
| add(X_32,multiply(X_32,X_31)) != multiply(X_32,add(X_31,X_32))
| multiply(X_32,add(X_32,X_31)) = multiply(X_32,add(X_31,X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_32,add(X_32,X_31)),multiply(X_32,add(X_31,X_32))) ),[0],$fot(add(X_32,multiply(X_32,X_31)))]]) ).
cnf(refute_0_651,plain,
( multiply(X_32,add(X_32,X_31)) != add(X_32,multiply(X_32,X_31))
| multiply(X_32,add(X_32,X_31)) = multiply(X_32,add(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(add(X_32,multiply(X_32,X_31)),multiply(X_32,add(X_31,X_32))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
multiply(X_32,add(X_32,X_31)) = multiply(X_32,add(X_31,X_32)),
inference(resolve,[$cnf( $equal(multiply(X_32,add(X_32,X_31)),add(X_32,multiply(X_32,X_31))) )],[refute_0_648,refute_0_651]) ).
cnf(refute_0_653,plain,
( multiply(X_32,add(X_32,X_31)) != multiply(X_32,add(X_31,X_32))
| multiply(X_32,add(X_31,X_32)) = multiply(X_32,add(X_32,X_31)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_32,add(X_32,X_31)))),bind(Y0,$fot(multiply(X_32,add(X_31,X_32))))]]) ).
cnf(refute_0_654,plain,
multiply(X_32,add(X_31,X_32)) = multiply(X_32,add(X_32,X_31)),
inference(resolve,[$cnf( $equal(multiply(X_32,add(X_32,X_31)),multiply(X_32,add(X_31,X_32))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
multiply(b,add(additive_inverse(c),b)) = multiply(b,add(b,additive_inverse(c))),
inference(subst,[],[refute_0_654:[bind(X_31,$fot(additive_inverse(c))),bind(X_32,$fot(b))]]) ).
cnf(refute_0_656,plain,
add(b,multiply(b,additive_inverse(c))) = multiply(b,add(additive_inverse(c),b)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(additive_inverse(c))),bind(X_29,$fot(b))]]) ).
cnf(refute_0_657,plain,
( multiply(b,add(additive_inverse(c),b)) != multiply(b,add(b,additive_inverse(c)))
| add(b,multiply(b,additive_inverse(c))) != multiply(b,add(additive_inverse(c),b))
| add(b,multiply(b,additive_inverse(c))) = multiply(b,add(b,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(b,multiply(b,additive_inverse(c))))),bind(Y0,$fot(multiply(b,add(additive_inverse(c),b)))),bind(Z0,$fot(multiply(b,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_658,plain,
( multiply(b,add(additive_inverse(c),b)) != multiply(b,add(b,additive_inverse(c)))
| add(b,multiply(b,additive_inverse(c))) = multiply(b,add(b,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(b,multiply(b,additive_inverse(c))),multiply(b,add(additive_inverse(c),b))) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
add(b,multiply(b,additive_inverse(c))) = multiply(b,add(b,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(b,add(additive_inverse(c),b)),multiply(b,add(b,additive_inverse(c)))) )],[refute_0_655,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(a,add(b,multiply(b,additive_inverse(c)))) = multiply(a,add(b,multiply(b,additive_inverse(c)))),
introduced(tautology,[refl,[$fot(multiply(a,add(b,multiply(b,additive_inverse(c)))))]]) ).
cnf(refute_0_661,plain,
( multiply(a,add(b,multiply(b,additive_inverse(c)))) != multiply(a,add(b,multiply(b,additive_inverse(c))))
| add(b,multiply(b,additive_inverse(c))) != multiply(b,add(b,additive_inverse(c)))
| multiply(a,add(b,multiply(b,additive_inverse(c)))) = multiply(a,multiply(b,add(b,additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(b,multiply(b,additive_inverse(c)))),multiply(a,add(b,multiply(b,additive_inverse(c))))) ),[1,1],$fot(multiply(b,add(b,additive_inverse(c))))]]) ).
cnf(refute_0_662,plain,
( add(b,multiply(b,additive_inverse(c))) != multiply(b,add(b,additive_inverse(c)))
| multiply(a,add(b,multiply(b,additive_inverse(c)))) = multiply(a,multiply(b,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(b,additive_inverse(c)))),multiply(a,add(b,multiply(b,additive_inverse(c))))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(a,add(b,multiply(b,additive_inverse(c)))) = multiply(a,multiply(b,add(b,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(add(b,multiply(b,additive_inverse(c))),multiply(b,add(b,additive_inverse(c)))) )],[refute_0_659,refute_0_662]) ).
cnf(refute_0_664,plain,
( multiply(a,multiply(b,add(b,additive_inverse(c)))) != multiply(c,add(b,additive_inverse(c)))
| multiply(a,add(b,multiply(b,additive_inverse(c)))) != multiply(a,multiply(b,add(b,additive_inverse(c))))
| multiply(a,add(b,multiply(b,additive_inverse(c)))) = multiply(c,add(b,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(b,multiply(b,additive_inverse(c)))))),bind(Y0,$fot(multiply(a,multiply(b,add(b,additive_inverse(c)))))),bind(Z0,$fot(multiply(c,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_665,plain,
( multiply(a,multiply(b,add(b,additive_inverse(c)))) != multiply(c,add(b,additive_inverse(c)))
| multiply(a,add(b,multiply(b,additive_inverse(c)))) = multiply(c,add(b,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(b,additive_inverse(c)))),multiply(a,multiply(b,add(b,additive_inverse(c))))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(a,add(b,multiply(b,additive_inverse(c)))) = multiply(c,add(b,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,add(b,additive_inverse(c)))),multiply(c,add(b,additive_inverse(c)))) )],[refute_0_641,refute_0_665]) ).
cnf(refute_0_667,plain,
multiply(a,add(c,multiply(b,additive_inverse(c)))) = multiply(a,add(b,multiply(b,additive_inverse(c)))),
inference(subst,[],[refute_0_506:[bind(X_40,$fot(multiply(b,additive_inverse(c))))]]) ).
cnf(refute_0_668,plain,
( multiply(a,add(X_28,multiply(b,X_16))) != add(multiply(a,X_28),multiply(c,X_16))
| add(multiply(a,X_28),multiply(c,X_16)) = multiply(a,add(X_28,multiply(b,X_16))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,add(X_28,multiply(b,X_16))))),bind(Y0,$fot(add(multiply(a,X_28),multiply(c,X_16))))]]) ).
cnf(refute_0_669,plain,
add(multiply(a,X_28),multiply(c,X_16)) = multiply(a,add(X_28,multiply(b,X_16))),
inference(resolve,[$cnf( $equal(multiply(a,add(X_28,multiply(b,X_16))),add(multiply(a,X_28),multiply(c,X_16))) )],[refute_0_61,refute_0_668]) ).
cnf(refute_0_670,plain,
add(multiply(a,c),multiply(c,additive_inverse(c))) = multiply(a,add(c,multiply(b,additive_inverse(c)))),
inference(subst,[],[refute_0_669:[bind(X_16,$fot(additive_inverse(c))),bind(X_28,$fot(c))]]) ).
cnf(refute_0_671,plain,
( multiply(a,add(c,multiply(b,additive_inverse(c)))) != multiply(a,add(b,multiply(b,additive_inverse(c))))
| add(multiply(a,c),multiply(c,additive_inverse(c))) != multiply(a,add(c,multiply(b,additive_inverse(c))))
| add(multiply(a,c),multiply(c,additive_inverse(c))) = multiply(a,add(b,multiply(b,additive_inverse(c)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,c),multiply(c,additive_inverse(c))))),bind(Y0,$fot(multiply(a,add(c,multiply(b,additive_inverse(c)))))),bind(Z0,$fot(multiply(a,add(b,multiply(b,additive_inverse(c))))))]]) ).
cnf(refute_0_672,plain,
( multiply(a,add(c,multiply(b,additive_inverse(c)))) != multiply(a,add(b,multiply(b,additive_inverse(c))))
| add(multiply(a,c),multiply(c,additive_inverse(c))) = multiply(a,add(b,multiply(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,c),multiply(c,additive_inverse(c))),multiply(a,add(c,multiply(b,additive_inverse(c))))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
add(multiply(a,c),multiply(c,additive_inverse(c))) = multiply(a,add(b,multiply(b,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(multiply(a,add(c,multiply(b,additive_inverse(c)))),multiply(a,add(b,multiply(b,additive_inverse(c))))) )],[refute_0_667,refute_0_672]) ).
cnf(refute_0_674,plain,
( multiply(a,add(b,multiply(b,additive_inverse(c)))) != multiply(c,add(b,additive_inverse(c)))
| add(multiply(a,c),multiply(c,additive_inverse(c))) != multiply(a,add(b,multiply(b,additive_inverse(c))))
| add(multiply(a,c),multiply(c,additive_inverse(c))) = multiply(c,add(b,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,c),multiply(c,additive_inverse(c))))),bind(Y0,$fot(multiply(a,add(b,multiply(b,additive_inverse(c)))))),bind(Z0,$fot(multiply(c,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_675,plain,
( multiply(a,add(b,multiply(b,additive_inverse(c)))) != multiply(c,add(b,additive_inverse(c)))
| add(multiply(a,c),multiply(c,additive_inverse(c))) = multiply(c,add(b,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,c),multiply(c,additive_inverse(c))),multiply(a,add(b,multiply(b,additive_inverse(c))))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
add(multiply(a,c),multiply(c,additive_inverse(c))) = multiply(c,add(b,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(b,additive_inverse(c)))),multiply(c,add(b,additive_inverse(c)))) )],[refute_0_666,refute_0_675]) ).
cnf(refute_0_677,plain,
( multiply(add(a,c),additive_inverse(c)) != add(multiply(a,c),multiply(c,additive_inverse(c)))
| add(multiply(a,c),multiply(c,additive_inverse(c))) != multiply(c,add(b,additive_inverse(c)))
| multiply(add(a,c),additive_inverse(c)) = multiply(c,add(b,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,c),additive_inverse(c)),multiply(c,add(b,additive_inverse(c)))) ),[0],$fot(add(multiply(a,c),multiply(c,additive_inverse(c))))]]) ).
cnf(refute_0_678,plain,
( multiply(add(a,c),additive_inverse(c)) != add(multiply(a,c),multiply(c,additive_inverse(c)))
| multiply(add(a,c),additive_inverse(c)) = multiply(c,add(b,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,c),multiply(c,additive_inverse(c))),multiply(c,add(b,additive_inverse(c)))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
( multiply(a,multiply(add(b,a),additive_inverse(c))) != add(multiply(a,c),multiply(c,additive_inverse(c)))
| multiply(add(a,c),additive_inverse(c)) = multiply(c,add(b,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),additive_inverse(c)),add(multiply(a,c),multiply(c,additive_inverse(c)))) )],[refute_0_640,refute_0_678]) ).
cnf(refute_0_680,plain,
multiply(add(a,c),additive_inverse(c)) = multiply(c,add(b,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(c))),add(multiply(a,c),multiply(c,additive_inverse(c)))) )],[refute_0_603,refute_0_679]) ).
cnf(refute_0_681,plain,
( multiply(add(a,c),add(additive_inverse(c),add(a,c))) != add(add(a,c),multiply(add(a,c),additive_inverse(c)))
| multiply(add(a,c),additive_inverse(c)) != multiply(c,add(b,additive_inverse(c)))
| multiply(add(a,c),add(additive_inverse(c),add(a,c))) = add(add(a,c),multiply(c,add(b,additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(c),add(a,c))),add(add(a,c),multiply(add(a,c),additive_inverse(c)))) ),[1,1],$fot(multiply(c,add(b,additive_inverse(c))))]]) ).
cnf(refute_0_682,plain,
( multiply(add(a,c),add(additive_inverse(c),add(a,c))) != add(add(a,c),multiply(add(a,c),additive_inverse(c)))
| multiply(add(a,c),add(additive_inverse(c),add(a,c))) = add(add(a,c),multiply(c,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),additive_inverse(c)),multiply(c,add(b,additive_inverse(c)))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
multiply(add(a,c),add(additive_inverse(c),add(a,c))) = add(add(a,c),multiply(c,add(b,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(c),add(a,c))),add(add(a,c),multiply(add(a,c),additive_inverse(c)))) )],[refute_0_105,refute_0_682]) ).
cnf(refute_0_684,plain,
add(a,additive_identity) = a,
inference(subst,[],[right_additive_identity:[bind(X,$fot(a))]]) ).
cnf(refute_0_685,plain,
add(a,add(c,additive_inverse(c))) = add(a,add(c,additive_inverse(c))),
introduced(tautology,[refl,[$fot(add(a,add(c,additive_inverse(c))))]]) ).
cnf(refute_0_686,plain,
( add(a,add(c,additive_inverse(c))) != add(a,add(c,additive_inverse(c)))
| add(c,additive_inverse(c)) != additive_identity
| add(a,add(c,additive_inverse(c))) = add(a,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(c,additive_inverse(c))),add(a,add(c,additive_inverse(c)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_687,plain,
( add(c,additive_inverse(c)) != additive_identity
| add(a,add(c,additive_inverse(c))) = add(a,additive_identity) ),
inference(resolve,[$cnf( $equal(add(a,add(c,additive_inverse(c))),add(a,add(c,additive_inverse(c)))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
add(a,add(c,additive_inverse(c))) = add(a,additive_identity),
inference(resolve,[$cnf( $equal(add(c,additive_inverse(c)),additive_identity) )],[refute_0_520,refute_0_687]) ).
cnf(refute_0_689,plain,
( add(a,add(c,additive_inverse(c))) != add(a,additive_identity)
| add(a,additive_identity) != a
| add(a,add(c,additive_inverse(c))) = a ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(a,add(c,additive_inverse(c))))),bind(Y0,$fot(add(a,additive_identity))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_690,plain,
( add(a,additive_identity) != a
| add(a,add(c,additive_inverse(c))) = a ),
inference(resolve,[$cnf( $equal(add(a,add(c,additive_inverse(c))),add(a,additive_identity)) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
add(a,add(c,additive_inverse(c))) = a,
inference(resolve,[$cnf( $equal(add(a,additive_identity),a) )],[refute_0_684,refute_0_690]) ).
cnf(refute_0_692,plain,
add(a,add(additive_inverse(c),c)) = add(a,add(c,additive_inverse(c))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(a)),bind(X_7,$fot(additive_inverse(c))),bind(X_8,$fot(c))]]) ).
cnf(refute_0_693,plain,
add(additive_inverse(c),add(a,c)) = add(a,add(additive_inverse(c),c)),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(a)),bind(X_7,$fot(additive_inverse(c))),bind(X_8,$fot(c))]]) ).
cnf(refute_0_694,plain,
( add(a,add(additive_inverse(c),c)) != add(a,add(c,additive_inverse(c)))
| add(additive_inverse(c),add(a,c)) != add(a,add(additive_inverse(c),c))
| add(additive_inverse(c),add(a,c)) = add(a,add(c,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(additive_inverse(c),add(a,c)))),bind(Y0,$fot(add(a,add(additive_inverse(c),c)))),bind(Z0,$fot(add(a,add(c,additive_inverse(c)))))]]) ).
cnf(refute_0_695,plain,
( add(a,add(additive_inverse(c),c)) != add(a,add(c,additive_inverse(c)))
| add(additive_inverse(c),add(a,c)) = add(a,add(c,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),add(a,c)),add(a,add(additive_inverse(c),c))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
add(additive_inverse(c),add(a,c)) = add(a,add(c,additive_inverse(c))),
inference(resolve,[$cnf( $equal(add(a,add(additive_inverse(c),c)),add(a,add(c,additive_inverse(c)))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
( add(a,add(c,additive_inverse(c))) != a
| add(additive_inverse(c),add(a,c)) != add(a,add(c,additive_inverse(c)))
| add(additive_inverse(c),add(a,c)) = a ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(additive_inverse(c),add(a,c)))),bind(Y0,$fot(add(a,add(c,additive_inverse(c))))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_698,plain,
( add(a,add(c,additive_inverse(c))) != a
| add(additive_inverse(c),add(a,c)) = a ),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),add(a,c)),add(a,add(c,additive_inverse(c)))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
add(additive_inverse(c),add(a,c)) = a,
inference(resolve,[$cnf( $equal(add(a,add(c,additive_inverse(c))),a) )],[refute_0_691,refute_0_698]) ).
cnf(refute_0_700,plain,
multiply(add(a,c),add(additive_inverse(c),add(a,c))) = multiply(add(a,c),add(additive_inverse(c),add(a,c))),
introduced(tautology,[refl,[$fot(multiply(add(a,c),add(additive_inverse(c),add(a,c))))]]) ).
cnf(refute_0_701,plain,
( multiply(add(a,c),add(additive_inverse(c),add(a,c))) != multiply(add(a,c),add(additive_inverse(c),add(a,c)))
| add(additive_inverse(c),add(a,c)) != a
| multiply(add(a,c),add(additive_inverse(c),add(a,c))) = multiply(add(a,c),a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(c),add(a,c))),multiply(add(a,c),add(additive_inverse(c),add(a,c)))) ),[1,1],$fot(a)]]) ).
cnf(refute_0_702,plain,
( add(additive_inverse(c),add(a,c)) != a
| multiply(add(a,c),add(additive_inverse(c),add(a,c))) = multiply(add(a,c),a) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(c),add(a,c))),multiply(add(a,c),add(additive_inverse(c),add(a,c)))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
multiply(add(a,c),add(additive_inverse(c),add(a,c))) = multiply(add(a,c),a),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),add(a,c)),a) )],[refute_0_699,refute_0_702]) ).
cnf(refute_0_704,plain,
( multiply(add(a,c),add(additive_inverse(c),add(a,c))) != multiply(add(a,c),a)
| multiply(add(a,c),add(additive_inverse(c),add(a,c))) != add(add(a,c),multiply(c,add(b,additive_inverse(c))))
| multiply(add(a,c),a) = add(add(a,c),multiply(c,add(b,additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(c),add(a,c))),add(add(a,c),multiply(c,add(b,additive_inverse(c))))) ),[0],$fot(multiply(add(a,c),a))]]) ).
cnf(refute_0_705,plain,
( multiply(add(a,c),add(additive_inverse(c),add(a,c))) != add(add(a,c),multiply(c,add(b,additive_inverse(c))))
| multiply(add(a,c),a) = add(add(a,c),multiply(c,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(c),add(a,c))),multiply(add(a,c),a)) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
multiply(c,add(add(b,b),Z)) = add(multiply(c,add(b,b)),multiply(c,Z)),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(add(b,b)))]]) ).
cnf(refute_0_707,plain,
( multiply(c,add(b,b)) != add(c,c)
| add(c,c) != additive_identity
| multiply(c,add(b,b)) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(b,b)),additive_identity) ),[0],$fot(add(c,c))]]) ).
cnf(refute_0_708,plain,
( multiply(c,add(b,b)) != add(c,c)
| multiply(c,add(b,b)) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,c),additive_identity) )],[refute_0_439,refute_0_707]) ).
cnf(refute_0_709,plain,
multiply(c,add(b,b)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(c,add(b,b)),add(c,c)) )],[refute_0_303,refute_0_708]) ).
cnf(refute_0_710,plain,
( multiply(c,add(add(b,b),Z)) != add(multiply(c,add(b,b)),multiply(c,Z))
| multiply(c,add(b,b)) != additive_identity
| multiply(c,add(add(b,b),Z)) = add(additive_identity,multiply(c,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(b,b),Z)),add(multiply(c,add(b,b)),multiply(c,Z))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_711,plain,
( multiply(c,add(add(b,b),Z)) != add(multiply(c,add(b,b)),multiply(c,Z))
| multiply(c,add(add(b,b),Z)) = add(additive_identity,multiply(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,b)),additive_identity) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
multiply(c,add(add(b,b),Z)) = add(additive_identity,multiply(c,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,b),Z)),add(multiply(c,add(b,b)),multiply(c,Z))) )],[refute_0_706,refute_0_711]) ).
cnf(refute_0_713,plain,
multiply(c,add(add(b,b),Z)) = multiply(c,add(add(b,b),Z)),
introduced(tautology,[refl,[$fot(multiply(c,add(add(b,b),Z)))]]) ).
cnf(refute_0_714,plain,
( multiply(c,add(add(b,b),Z)) != multiply(c,add(add(b,b),Z))
| add(add(b,b),Z) != add(b,add(b,Z))
| multiply(c,add(add(b,b),Z)) = multiply(c,add(b,add(b,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(b,b),Z)),multiply(c,add(add(b,b),Z))) ),[1,1],$fot(add(b,add(b,Z)))]]) ).
cnf(refute_0_715,plain,
( add(add(b,b),Z) != add(b,add(b,Z))
| multiply(c,add(add(b,b),Z)) = multiply(c,add(b,add(b,Z))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,b),Z)),multiply(c,add(add(b,b),Z))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(c,add(add(b,b),Z)) = multiply(c,add(b,add(b,Z))),
inference(resolve,[$cnf( $equal(add(add(b,b),Z),add(b,add(b,Z))) )],[refute_0_206,refute_0_715]) ).
cnf(refute_0_717,plain,
( multiply(c,add(add(b,b),Z)) != multiply(c,add(b,add(b,Z)))
| multiply(c,add(add(b,b),Z)) != add(additive_identity,multiply(c,Z))
| multiply(c,add(b,add(b,Z))) = add(additive_identity,multiply(c,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(b,b),Z)),add(additive_identity,multiply(c,Z))) ),[0],$fot(multiply(c,add(b,add(b,Z))))]]) ).
cnf(refute_0_718,plain,
( multiply(c,add(add(b,b),Z)) != add(additive_identity,multiply(c,Z))
| multiply(c,add(b,add(b,Z))) = add(additive_identity,multiply(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,b),Z)),multiply(c,add(b,add(b,Z)))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
add(additive_identity,multiply(c,Z)) = multiply(c,Z),
inference(subst,[],[left_additive_identity:[bind(X,$fot(multiply(c,Z)))]]) ).
cnf(refute_0_720,plain,
( multiply(c,add(b,add(b,Z))) != add(additive_identity,multiply(c,Z))
| add(additive_identity,multiply(c,Z)) != multiply(c,Z)
| multiply(c,add(b,add(b,Z))) = multiply(c,Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(b,add(b,Z))),multiply(c,Z)) ),[0],$fot(add(additive_identity,multiply(c,Z)))]]) ).
cnf(refute_0_721,plain,
( multiply(c,add(b,add(b,Z))) != add(additive_identity,multiply(c,Z))
| multiply(c,add(b,add(b,Z))) = multiply(c,Z) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(c,Z)),multiply(c,Z)) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
( multiply(c,add(add(b,b),Z)) != add(additive_identity,multiply(c,Z))
| multiply(c,add(b,add(b,Z))) = multiply(c,Z) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(b,Z))),add(additive_identity,multiply(c,Z))) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
multiply(c,add(b,add(b,Z))) = multiply(c,Z),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,b),Z)),add(additive_identity,multiply(c,Z))) )],[refute_0_712,refute_0_722]) ).
cnf(refute_0_724,plain,
multiply(c,add(b,add(b,additive_inverse(c)))) = multiply(c,additive_inverse(c)),
inference(subst,[],[refute_0_723:[bind(Z,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_725,plain,
multiply(c,add(multiply(b,Z),X_29)) = add(multiply(c,multiply(b,Z)),multiply(c,X_29)),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(multiply(b,Z))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_726,plain,
( multiply(c,multiply(b,Z)) != multiply(c,Z)
| multiply(c,add(multiply(b,Z),X_29)) != add(multiply(c,multiply(b,Z)),multiply(c,X_29))
| multiply(c,add(multiply(b,Z),X_29)) = add(multiply(c,Z),multiply(c,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,Z),X_29)),add(multiply(c,multiply(b,Z)),multiply(c,X_29))) ),[1,0],$fot(multiply(c,Z))]]) ).
cnf(refute_0_727,plain,
( multiply(c,add(multiply(b,Z),X_29)) != add(multiply(c,multiply(b,Z)),multiply(c,X_29))
| multiply(c,add(multiply(b,Z),X_29)) = add(multiply(c,Z),multiply(c,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(b,Z)),multiply(c,Z)) )],[refute_0_40,refute_0_726]) ).
cnf(refute_0_728,plain,
multiply(c,add(multiply(b,Z),X_29)) = add(multiply(c,Z),multiply(c,X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),X_29)),add(multiply(c,multiply(b,Z)),multiply(c,X_29))) )],[refute_0_725,refute_0_727]) ).
cnf(refute_0_729,plain,
add(multiply(c,Z),multiply(c,X_29)) = multiply(c,add(Z,X_29)),
inference(subst,[],[refute_0_90:[bind(X,$fot(c)),bind(Y,$fot(Z)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_730,plain,
( multiply(c,add(multiply(b,Z),X_29)) != add(multiply(c,Z),multiply(c,X_29))
| add(multiply(c,Z),multiply(c,X_29)) != multiply(c,add(Z,X_29))
| multiply(c,add(multiply(b,Z),X_29)) = multiply(c,add(Z,X_29)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(multiply(b,Z),X_29)),multiply(c,add(Z,X_29))) ),[0],$fot(add(multiply(c,Z),multiply(c,X_29)))]]) ).
cnf(refute_0_731,plain,
( multiply(c,add(multiply(b,Z),X_29)) != add(multiply(c,Z),multiply(c,X_29))
| multiply(c,add(multiply(b,Z),X_29)) = multiply(c,add(Z,X_29)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,Z),multiply(c,X_29)),multiply(c,add(Z,X_29))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
multiply(c,add(multiply(b,Z),X_29)) = multiply(c,add(Z,X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),X_29)),add(multiply(c,Z),multiply(c,X_29))) )],[refute_0_728,refute_0_731]) ).
cnf(refute_0_733,plain,
multiply(c,add(multiply(b,Z),b)) = multiply(c,add(Z,b)),
inference(subst,[],[refute_0_732:[bind(X_29,$fot(b))]]) ).
cnf(refute_0_734,plain,
multiply(c,add(b,X_29)) = add(multiply(c,b),multiply(c,X_29)),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(b)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_735,plain,
( multiply(c,add(b,X_29)) != add(multiply(c,b),multiply(c,X_29))
| multiply(c,b) != c
| multiply(c,add(b,X_29)) = add(c,multiply(c,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,X_29)),add(multiply(c,b),multiply(c,X_29))) ),[1,0],$fot(c)]]) ).
cnf(refute_0_736,plain,
( multiply(c,add(b,X_29)) != add(multiply(c,b),multiply(c,X_29))
| multiply(c,add(b,X_29)) = add(c,multiply(c,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,b),c) )],[refute_0_37,refute_0_735]) ).
cnf(refute_0_737,plain,
multiply(c,add(b,X_29)) = add(c,multiply(c,X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(b,X_29)),add(multiply(c,b),multiply(c,X_29))) )],[refute_0_734,refute_0_736]) ).
cnf(refute_0_738,plain,
add(c,multiply(c,X_29)) = multiply(c,add(X_29,c)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(X_29)),bind(X_29,$fot(c))]]) ).
cnf(refute_0_739,plain,
( multiply(c,add(b,X_29)) != add(c,multiply(c,X_29))
| add(c,multiply(c,X_29)) != multiply(c,add(X_29,c))
| multiply(c,add(b,X_29)) = multiply(c,add(X_29,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(b,X_29)),multiply(c,add(X_29,c))) ),[0],$fot(add(c,multiply(c,X_29)))]]) ).
cnf(refute_0_740,plain,
( multiply(c,add(b,X_29)) != add(c,multiply(c,X_29))
| multiply(c,add(b,X_29)) = multiply(c,add(X_29,c)) ),
inference(resolve,[$cnf( $equal(add(c,multiply(c,X_29)),multiply(c,add(X_29,c))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
multiply(c,add(b,X_29)) = multiply(c,add(X_29,c)),
inference(resolve,[$cnf( $equal(multiply(c,add(b,X_29)),add(c,multiply(c,X_29))) )],[refute_0_737,refute_0_740]) ).
cnf(refute_0_742,plain,
multiply(c,add(X_29,c)) = multiply(c,add(X_29,b)),
inference(subst,[],[refute_0_299:[bind(X_28,$fot(X_29))]]) ).
cnf(refute_0_743,plain,
( multiply(c,add(X_29,c)) != multiply(c,add(X_29,b))
| multiply(c,add(b,X_29)) != multiply(c,add(X_29,c))
| multiply(c,add(b,X_29)) = multiply(c,add(X_29,b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,X_29)),multiply(c,add(X_29,c))) ),[1],$fot(multiply(c,add(X_29,b)))]]) ).
cnf(refute_0_744,plain,
( multiply(c,add(b,X_29)) != multiply(c,add(X_29,c))
| multiply(c,add(b,X_29)) = multiply(c,add(X_29,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(X_29,c)),multiply(c,add(X_29,b))) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
multiply(c,add(b,X_29)) = multiply(c,add(X_29,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(b,X_29)),multiply(c,add(X_29,c))) )],[refute_0_741,refute_0_744]) ).
cnf(refute_0_746,plain,
multiply(c,add(b,Z)) = multiply(c,add(Z,b)),
inference(subst,[],[refute_0_745:[bind(X_29,$fot(Z))]]) ).
cnf(refute_0_747,plain,
( multiply(c,add(b,Z)) != multiply(c,add(Z,b))
| multiply(c,add(Z,b)) = multiply(c,add(b,Z)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(b,Z)))),bind(Y0,$fot(multiply(c,add(Z,b))))]]) ).
cnf(refute_0_748,plain,
multiply(c,add(Z,b)) = multiply(c,add(b,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(b,Z)),multiply(c,add(Z,b))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
( multiply(c,add(Z,b)) != multiply(c,add(b,Z))
| multiply(c,add(multiply(b,Z),b)) != multiply(c,add(Z,b))
| multiply(c,add(multiply(b,Z),b)) = multiply(c,add(b,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,Z),b)),multiply(c,add(Z,b))) ),[1],$fot(multiply(c,add(b,Z)))]]) ).
cnf(refute_0_750,plain,
( multiply(c,add(multiply(b,Z),b)) != multiply(c,add(Z,b))
| multiply(c,add(multiply(b,Z),b)) = multiply(c,add(b,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(Z,b)),multiply(c,add(b,Z))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
multiply(c,add(multiply(b,Z),b)) = multiply(c,add(b,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),b)),multiply(c,add(Z,b))) )],[refute_0_733,refute_0_750]) ).
cnf(refute_0_752,plain,
multiply(c,add(X_28,multiply(b,Z))) = add(multiply(c,X_28),multiply(c,multiply(b,Z))),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(X_28)),bind(Z,$fot(multiply(b,Z)))]]) ).
cnf(refute_0_753,plain,
( multiply(c,multiply(b,Z)) != multiply(c,Z)
| multiply(c,add(X_28,multiply(b,Z))) != add(multiply(c,X_28),multiply(c,multiply(b,Z)))
| multiply(c,add(X_28,multiply(b,Z))) = add(multiply(c,X_28),multiply(c,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(X_28,multiply(b,Z))),add(multiply(c,X_28),multiply(c,multiply(b,Z)))) ),[1,1],$fot(multiply(c,Z))]]) ).
cnf(refute_0_754,plain,
( multiply(c,add(X_28,multiply(b,Z))) != add(multiply(c,X_28),multiply(c,multiply(b,Z)))
| multiply(c,add(X_28,multiply(b,Z))) = add(multiply(c,X_28),multiply(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(b,Z)),multiply(c,Z)) )],[refute_0_40,refute_0_753]) ).
cnf(refute_0_755,plain,
multiply(c,add(X_28,multiply(b,Z))) = add(multiply(c,X_28),multiply(c,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_28,multiply(b,Z))),add(multiply(c,X_28),multiply(c,multiply(b,Z)))) )],[refute_0_752,refute_0_754]) ).
cnf(refute_0_756,plain,
add(multiply(c,X_28),multiply(c,Z)) = multiply(c,add(X_28,Z)),
inference(subst,[],[refute_0_90:[bind(X,$fot(c)),bind(Y,$fot(X_28))]]) ).
cnf(refute_0_757,plain,
( multiply(c,add(X_28,multiply(b,Z))) != add(multiply(c,X_28),multiply(c,Z))
| add(multiply(c,X_28),multiply(c,Z)) != multiply(c,add(X_28,Z))
| multiply(c,add(X_28,multiply(b,Z))) = multiply(c,add(X_28,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(X_28,multiply(b,Z))),multiply(c,add(X_28,Z))) ),[0],$fot(add(multiply(c,X_28),multiply(c,Z)))]]) ).
cnf(refute_0_758,plain,
( multiply(c,add(X_28,multiply(b,Z))) != add(multiply(c,X_28),multiply(c,Z))
| multiply(c,add(X_28,multiply(b,Z))) = multiply(c,add(X_28,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,X_28),multiply(c,Z)),multiply(c,add(X_28,Z))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
multiply(c,add(X_28,multiply(b,Z))) = multiply(c,add(X_28,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_28,multiply(b,Z))),add(multiply(c,X_28),multiply(c,Z))) )],[refute_0_755,refute_0_758]) ).
cnf(refute_0_760,plain,
multiply(c,add(c,multiply(b,Z))) = multiply(c,add(c,Z)),
inference(subst,[],[refute_0_759:[bind(X_28,$fot(c))]]) ).
cnf(refute_0_761,plain,
multiply(c,add(multiply(b,Z),c)) = multiply(c,add(Z,c)),
inference(subst,[],[refute_0_732:[bind(X_29,$fot(c))]]) ).
cnf(refute_0_762,plain,
multiply(c,add(Z,b)) = multiply(c,add(Z,c)),
inference(subst,[],[refute_0_297:[bind(X_28,$fot(Z))]]) ).
cnf(refute_0_763,plain,
( multiply(c,add(Z,b)) != multiply(c,add(Z,c))
| multiply(c,add(Z,c)) = multiply(c,add(Z,b)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(Z,b)))),bind(Y0,$fot(multiply(c,add(Z,c))))]]) ).
cnf(refute_0_764,plain,
multiply(c,add(Z,c)) = multiply(c,add(Z,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(Z,b)),multiply(c,add(Z,c))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
( multiply(c,add(Z,c)) != multiply(c,add(Z,b))
| multiply(c,add(multiply(b,Z),c)) != multiply(c,add(Z,c))
| multiply(c,add(multiply(b,Z),c)) = multiply(c,add(Z,b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,Z),c)),multiply(c,add(Z,c))) ),[1],$fot(multiply(c,add(Z,b)))]]) ).
cnf(refute_0_766,plain,
( multiply(c,add(multiply(b,Z),c)) != multiply(c,add(Z,c))
| multiply(c,add(multiply(b,Z),c)) = multiply(c,add(Z,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(Z,c)),multiply(c,add(Z,b))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
multiply(c,add(multiply(b,Z),c)) = multiply(c,add(Z,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),c)),multiply(c,add(Z,c))) )],[refute_0_761,refute_0_766]) ).
cnf(refute_0_768,plain,
multiply(c,add(multiply(b,X_34),X_35)) = multiply(c,add(X_34,X_35)),
inference(subst,[],[refute_0_732:[bind(Z,$fot(X_34)),bind(X_29,$fot(X_35))]]) ).
cnf(refute_0_769,plain,
add(X_35,multiply(b,X_34)) = add(multiply(b,X_34),X_35),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(X_35)),bind(Y,$fot(multiply(b,X_34)))]]) ).
cnf(refute_0_770,plain,
( add(X_35,multiply(b,X_34)) != add(multiply(b,X_34),X_35)
| add(multiply(b,X_34),X_35) = add(X_35,multiply(b,X_34)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_35,multiply(b,X_34)))),bind(Y0,$fot(add(multiply(b,X_34),X_35)))]]) ).
cnf(refute_0_771,plain,
add(multiply(b,X_34),X_35) = add(X_35,multiply(b,X_34)),
inference(resolve,[$cnf( $equal(add(X_35,multiply(b,X_34)),add(multiply(b,X_34),X_35)) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
( multiply(c,add(multiply(b,X_34),X_35)) != multiply(c,add(X_34,X_35))
| add(multiply(b,X_34),X_35) != add(X_35,multiply(b,X_34))
| multiply(c,add(X_35,multiply(b,X_34))) = multiply(c,add(X_34,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,X_34),X_35)),multiply(c,add(X_34,X_35))) ),[0,1],$fot(add(X_35,multiply(b,X_34)))]]) ).
cnf(refute_0_773,plain,
( multiply(c,add(multiply(b,X_34),X_35)) != multiply(c,add(X_34,X_35))
| multiply(c,add(X_35,multiply(b,X_34))) = multiply(c,add(X_34,X_35)) ),
inference(resolve,[$cnf( $equal(add(multiply(b,X_34),X_35),add(X_35,multiply(b,X_34))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
multiply(c,add(X_35,multiply(b,X_34))) = multiply(c,add(X_34,X_35)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,X_34),X_35)),multiply(c,add(X_34,X_35))) )],[refute_0_768,refute_0_773]) ).
cnf(refute_0_775,plain,
multiply(c,add(X_35,multiply(b,X_34))) = multiply(c,add(X_35,X_34)),
inference(subst,[],[refute_0_759:[bind(Z,$fot(X_34)),bind(X_28,$fot(X_35))]]) ).
cnf(refute_0_776,plain,
( multiply(c,add(X_35,multiply(b,X_34))) != multiply(c,add(X_34,X_35))
| multiply(c,add(X_35,multiply(b,X_34))) != multiply(c,add(X_35,X_34))
| multiply(c,add(X_35,X_34)) = multiply(c,add(X_34,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(X_35,multiply(b,X_34))),multiply(c,add(X_34,X_35))) ),[0],$fot(multiply(c,add(X_35,X_34)))]]) ).
cnf(refute_0_777,plain,
( multiply(c,add(X_35,multiply(b,X_34))) != multiply(c,add(X_34,X_35))
| multiply(c,add(X_35,X_34)) = multiply(c,add(X_34,X_35)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(X_35,multiply(b,X_34))),multiply(c,add(X_35,X_34))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
multiply(c,add(X_35,X_34)) = multiply(c,add(X_34,X_35)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_35,multiply(b,X_34))),multiply(c,add(X_34,X_35))) )],[refute_0_774,refute_0_777]) ).
cnf(refute_0_779,plain,
( multiply(c,add(X_35,X_34)) != multiply(c,add(X_34,X_35))
| multiply(c,add(X_34,X_35)) = multiply(c,add(X_35,X_34)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(X_35,X_34)))),bind(Y0,$fot(multiply(c,add(X_34,X_35))))]]) ).
cnf(refute_0_780,plain,
multiply(c,add(X_34,X_35)) = multiply(c,add(X_35,X_34)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_35,X_34)),multiply(c,add(X_34,X_35))) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
multiply(c,add(multiply(b,Z),c)) = multiply(c,add(c,multiply(b,Z))),
inference(subst,[],[refute_0_780:[bind(X_34,$fot(multiply(b,Z))),bind(X_35,$fot(c))]]) ).
cnf(refute_0_782,plain,
( multiply(c,add(multiply(b,Z),c)) != multiply(c,add(c,multiply(b,Z)))
| multiply(c,add(c,multiply(b,Z))) != multiply(c,add(c,Z))
| multiply(c,add(multiply(b,Z),c)) = multiply(c,add(c,Z)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(b,Z),c)))),bind(Y0,$fot(multiply(c,add(c,multiply(b,Z))))),bind(Z0,$fot(multiply(c,add(c,Z))))]]) ).
cnf(refute_0_783,plain,
( multiply(c,add(c,multiply(b,Z))) != multiply(c,add(c,Z))
| multiply(c,add(multiply(b,Z),c)) = multiply(c,add(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),c)),multiply(c,add(c,multiply(b,Z)))) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
multiply(c,add(multiply(b,Z),c)) = multiply(c,add(c,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,multiply(b,Z))),multiply(c,add(c,Z))) )],[refute_0_760,refute_0_783]) ).
cnf(refute_0_785,plain,
( multiply(c,add(multiply(b,Z),c)) != multiply(c,add(Z,b))
| multiply(c,add(multiply(b,Z),c)) != multiply(c,add(c,Z))
| multiply(c,add(c,Z)) = multiply(c,add(Z,b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,Z),c)),multiply(c,add(Z,b))) ),[0],$fot(multiply(c,add(c,Z)))]]) ).
cnf(refute_0_786,plain,
( multiply(c,add(multiply(b,Z),c)) != multiply(c,add(Z,b))
| multiply(c,add(c,Z)) = multiply(c,add(Z,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),c)),multiply(c,add(c,Z))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
multiply(c,add(c,Z)) = multiply(c,add(Z,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),c)),multiply(c,add(Z,b))) )],[refute_0_767,refute_0_786]) ).
cnf(refute_0_788,plain,
( multiply(c,add(c,Z)) != multiply(c,add(Z,b))
| multiply(c,add(Z,b)) = multiply(c,add(c,Z)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(c,Z)))),bind(Y0,$fot(multiply(c,add(Z,b))))]]) ).
cnf(refute_0_789,plain,
multiply(c,add(Z,b)) = multiply(c,add(c,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,Z)),multiply(c,add(Z,b))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
multiply(c,add(multiply(b,Z),b)) = multiply(c,add(c,multiply(b,Z))),
inference(subst,[],[refute_0_789:[bind(Z,$fot(multiply(b,Z)))]]) ).
cnf(refute_0_791,plain,
( multiply(c,add(multiply(b,Z),b)) != multiply(c,add(c,multiply(b,Z)))
| multiply(c,add(c,multiply(b,Z))) != multiply(c,add(c,Z))
| multiply(c,add(multiply(b,Z),b)) = multiply(c,add(c,Z)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(b,Z),b)))),bind(Y0,$fot(multiply(c,add(c,multiply(b,Z))))),bind(Z0,$fot(multiply(c,add(c,Z))))]]) ).
cnf(refute_0_792,plain,
( multiply(c,add(c,multiply(b,Z))) != multiply(c,add(c,Z))
| multiply(c,add(multiply(b,Z),b)) = multiply(c,add(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),b)),multiply(c,add(c,multiply(b,Z)))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(c,add(multiply(b,Z),b)) = multiply(c,add(c,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,multiply(b,Z))),multiply(c,add(c,Z))) )],[refute_0_760,refute_0_792]) ).
cnf(refute_0_794,plain,
( multiply(c,add(multiply(b,Z),b)) != multiply(c,add(b,Z))
| multiply(c,add(multiply(b,Z),b)) != multiply(c,add(c,Z))
| multiply(c,add(c,Z)) = multiply(c,add(b,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,Z),b)),multiply(c,add(b,Z))) ),[0],$fot(multiply(c,add(c,Z)))]]) ).
cnf(refute_0_795,plain,
( multiply(c,add(multiply(b,Z),b)) != multiply(c,add(b,Z))
| multiply(c,add(c,Z)) = multiply(c,add(b,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),b)),multiply(c,add(c,Z))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
multiply(c,add(c,Z)) = multiply(c,add(b,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),b)),multiply(c,add(b,Z))) )],[refute_0_751,refute_0_795]) ).
cnf(refute_0_797,plain,
multiply(c,add(c,add(b,additive_inverse(c)))) = multiply(c,add(b,add(b,additive_inverse(c)))),
inference(subst,[],[refute_0_796:[bind(Z,$fot(add(b,additive_inverse(c))))]]) ).
cnf(refute_0_798,plain,
( multiply(c,add(b,add(b,additive_inverse(c)))) != multiply(c,additive_inverse(c))
| multiply(c,add(c,add(b,additive_inverse(c)))) != multiply(c,add(b,add(b,additive_inverse(c))))
| multiply(c,add(c,add(b,additive_inverse(c)))) = multiply(c,additive_inverse(c)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(c,add(b,additive_inverse(c)))))),bind(Y0,$fot(multiply(c,add(b,add(b,additive_inverse(c)))))),bind(Z0,$fot(multiply(c,additive_inverse(c))))]]) ).
cnf(refute_0_799,plain,
( multiply(c,add(b,add(b,additive_inverse(c)))) != multiply(c,additive_inverse(c))
| multiply(c,add(c,add(b,additive_inverse(c)))) = multiply(c,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(c,add(b,additive_inverse(c)))),multiply(c,add(b,add(b,additive_inverse(c))))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
multiply(c,add(c,add(b,additive_inverse(c)))) = multiply(c,additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(b,additive_inverse(c)))),multiply(c,additive_inverse(c))) )],[refute_0_724,refute_0_799]) ).
cnf(refute_0_801,plain,
multiply(c,add(multiply(X_47,multiply(b,X_47)),X_48)) = multiply(c,add(X_47,X_48)),
inference(subst,[],[refute_0_94:[bind(X_20,$fot(X_47)),bind(X_29,$fot(X_48))]]) ).
cnf(refute_0_802,plain,
add(X_48,multiply(X_47,multiply(b,X_47))) = add(multiply(X_47,multiply(b,X_47)),X_48),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(X_48)),bind(Y,$fot(multiply(X_47,multiply(b,X_47))))]]) ).
cnf(refute_0_803,plain,
( add(X_48,multiply(X_47,multiply(b,X_47))) != add(multiply(X_47,multiply(b,X_47)),X_48)
| add(multiply(X_47,multiply(b,X_47)),X_48) = add(X_48,multiply(X_47,multiply(b,X_47))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_48,multiply(X_47,multiply(b,X_47))))),bind(Y0,$fot(add(multiply(X_47,multiply(b,X_47)),X_48)))]]) ).
cnf(refute_0_804,plain,
add(multiply(X_47,multiply(b,X_47)),X_48) = add(X_48,multiply(X_47,multiply(b,X_47))),
inference(resolve,[$cnf( $equal(add(X_48,multiply(X_47,multiply(b,X_47))),add(multiply(X_47,multiply(b,X_47)),X_48)) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
( multiply(c,add(multiply(X_47,multiply(b,X_47)),X_48)) != multiply(c,add(X_47,X_48))
| add(multiply(X_47,multiply(b,X_47)),X_48) != add(X_48,multiply(X_47,multiply(b,X_47)))
| multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))) = multiply(c,add(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(X_47,multiply(b,X_47)),X_48)),multiply(c,add(X_47,X_48))) ),[0,1],$fot(add(X_48,multiply(X_47,multiply(b,X_47))))]]) ).
cnf(refute_0_806,plain,
( multiply(c,add(multiply(X_47,multiply(b,X_47)),X_48)) != multiply(c,add(X_47,X_48))
| multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))) = multiply(c,add(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_47,multiply(b,X_47)),X_48),add(X_48,multiply(X_47,multiply(b,X_47)))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))) = multiply(c,add(X_47,X_48)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(X_47,multiply(b,X_47)),X_48)),multiply(c,add(X_47,X_48))) )],[refute_0_801,refute_0_806]) ).
cnf(refute_0_808,plain,
multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) = add(multiply(c,X_28),multiply(c,multiply(X_20,multiply(b,X_20)))),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(X_28)),bind(Z,$fot(multiply(X_20,multiply(b,X_20))))]]) ).
cnf(refute_0_809,plain,
( multiply(c,multiply(X_20,multiply(b,X_20))) != multiply(c,X_20)
| multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) != add(multiply(c,X_28),multiply(c,multiply(X_20,multiply(b,X_20))))
| multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) = add(multiply(c,X_28),multiply(c,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))),add(multiply(c,X_28),multiply(c,multiply(X_20,multiply(b,X_20))))) ),[1,1],$fot(multiply(c,X_20))]]) ).
cnf(refute_0_810,plain,
( multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) != add(multiply(c,X_28),multiply(c,multiply(X_20,multiply(b,X_20))))
| multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) = add(multiply(c,X_28),multiply(c,X_20)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(X_20,multiply(b,X_20))),multiply(c,X_20)) )],[refute_0_85,refute_0_809]) ).
cnf(refute_0_811,plain,
multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) = add(multiply(c,X_28),multiply(c,X_20)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))),add(multiply(c,X_28),multiply(c,multiply(X_20,multiply(b,X_20))))) )],[refute_0_808,refute_0_810]) ).
cnf(refute_0_812,plain,
add(multiply(c,X_28),multiply(c,X_20)) = multiply(c,add(X_28,X_20)),
inference(subst,[],[refute_0_90:[bind(X,$fot(c)),bind(Y,$fot(X_28)),bind(Z,$fot(X_20))]]) ).
cnf(refute_0_813,plain,
( multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) != add(multiply(c,X_28),multiply(c,X_20))
| add(multiply(c,X_28),multiply(c,X_20)) != multiply(c,add(X_28,X_20))
| multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) = multiply(c,add(X_28,X_20)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))),multiply(c,add(X_28,X_20))) ),[0],$fot(add(multiply(c,X_28),multiply(c,X_20)))]]) ).
cnf(refute_0_814,plain,
( multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) != add(multiply(c,X_28),multiply(c,X_20))
| multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) = multiply(c,add(X_28,X_20)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,X_28),multiply(c,X_20)),multiply(c,add(X_28,X_20))) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))) = multiply(c,add(X_28,X_20)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_28,multiply(X_20,multiply(b,X_20)))),add(multiply(c,X_28),multiply(c,X_20))) )],[refute_0_811,refute_0_814]) ).
cnf(refute_0_816,plain,
multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))) = multiply(c,add(X_48,X_47)),
inference(subst,[],[refute_0_815:[bind(X_20,$fot(X_47)),bind(X_28,$fot(X_48))]]) ).
cnf(refute_0_817,plain,
( multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))) != multiply(c,add(X_47,X_48))
| multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))) != multiply(c,add(X_48,X_47))
| multiply(c,add(X_48,X_47)) = multiply(c,add(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))),multiply(c,add(X_47,X_48))) ),[0],$fot(multiply(c,add(X_48,X_47)))]]) ).
cnf(refute_0_818,plain,
( multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))) != multiply(c,add(X_47,X_48))
| multiply(c,add(X_48,X_47)) = multiply(c,add(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))),multiply(c,add(X_48,X_47))) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
multiply(c,add(X_48,X_47)) = multiply(c,add(X_47,X_48)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_48,multiply(X_47,multiply(b,X_47)))),multiply(c,add(X_47,X_48))) )],[refute_0_807,refute_0_818]) ).
cnf(refute_0_820,plain,
( multiply(c,add(X_48,X_47)) != multiply(c,add(X_47,X_48))
| multiply(c,add(X_47,X_48)) = multiply(c,add(X_48,X_47)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(X_48,X_47)))),bind(Y0,$fot(multiply(c,add(X_47,X_48))))]]) ).
cnf(refute_0_821,plain,
multiply(c,add(X_47,X_48)) = multiply(c,add(X_48,X_47)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_48,X_47)),multiply(c,add(X_47,X_48))) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
multiply(c,add(add(b,additive_inverse(c)),c)) = multiply(c,add(c,add(b,additive_inverse(c)))),
inference(subst,[],[refute_0_821:[bind(X_47,$fot(add(b,additive_inverse(c)))),bind(X_48,$fot(c))]]) ).
cnf(refute_0_823,plain,
( multiply(c,add(add(b,additive_inverse(c)),c)) != multiply(c,add(c,add(b,additive_inverse(c))))
| multiply(c,add(c,add(b,additive_inverse(c)))) != multiply(c,additive_inverse(c))
| multiply(c,add(add(b,additive_inverse(c)),c)) = multiply(c,additive_inverse(c)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(add(b,additive_inverse(c)),c)))),bind(Y0,$fot(multiply(c,add(c,add(b,additive_inverse(c)))))),bind(Z0,$fot(multiply(c,additive_inverse(c))))]]) ).
cnf(refute_0_824,plain,
( multiply(c,add(c,add(b,additive_inverse(c)))) != multiply(c,additive_inverse(c))
| multiply(c,add(add(b,additive_inverse(c)),c)) = multiply(c,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,additive_inverse(c)),c)),multiply(c,add(c,add(b,additive_inverse(c))))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
multiply(c,add(add(b,additive_inverse(c)),c)) = multiply(c,additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,add(b,additive_inverse(c)))),multiply(c,additive_inverse(c))) )],[refute_0_800,refute_0_824]) ).
cnf(refute_0_826,plain,
add(c,multiply(c,add(b,additive_inverse(c)))) = multiply(c,add(add(b,additive_inverse(c)),c)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(add(b,additive_inverse(c)))),bind(X_29,$fot(c))]]) ).
cnf(refute_0_827,plain,
( multiply(c,add(add(b,additive_inverse(c)),c)) != multiply(c,additive_inverse(c))
| add(c,multiply(c,add(b,additive_inverse(c)))) != multiply(c,add(add(b,additive_inverse(c)),c))
| add(c,multiply(c,add(b,additive_inverse(c)))) = multiply(c,additive_inverse(c)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(c,add(b,additive_inverse(c)))))),bind(Y0,$fot(multiply(c,add(add(b,additive_inverse(c)),c)))),bind(Z0,$fot(multiply(c,additive_inverse(c))))]]) ).
cnf(refute_0_828,plain,
( multiply(c,add(add(b,additive_inverse(c)),c)) != multiply(c,additive_inverse(c))
| add(c,multiply(c,add(b,additive_inverse(c)))) = multiply(c,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(c,multiply(c,add(b,additive_inverse(c)))),multiply(c,add(add(b,additive_inverse(c)),c))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
add(c,multiply(c,add(b,additive_inverse(c)))) = multiply(c,additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,additive_inverse(c)),c)),multiply(c,additive_inverse(c))) )],[refute_0_825,refute_0_828]) ).
cnf(refute_0_830,plain,
add(a,add(c,multiply(c,add(b,additive_inverse(c))))) = add(a,add(c,multiply(c,add(b,additive_inverse(c))))),
introduced(tautology,[refl,[$fot(add(a,add(c,multiply(c,add(b,additive_inverse(c))))))]]) ).
cnf(refute_0_831,plain,
( add(a,add(c,multiply(c,add(b,additive_inverse(c))))) != add(a,add(c,multiply(c,add(b,additive_inverse(c)))))
| add(c,multiply(c,add(b,additive_inverse(c)))) != multiply(c,additive_inverse(c))
| add(a,add(c,multiply(c,add(b,additive_inverse(c))))) = add(a,multiply(c,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(c,multiply(c,add(b,additive_inverse(c))))),add(a,add(c,multiply(c,add(b,additive_inverse(c)))))) ),[1,1],$fot(multiply(c,additive_inverse(c)))]]) ).
cnf(refute_0_832,plain,
( add(c,multiply(c,add(b,additive_inverse(c)))) != multiply(c,additive_inverse(c))
| add(a,add(c,multiply(c,add(b,additive_inverse(c))))) = add(a,multiply(c,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(a,add(c,multiply(c,add(b,additive_inverse(c))))),add(a,add(c,multiply(c,add(b,additive_inverse(c)))))) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
add(a,add(c,multiply(c,add(b,additive_inverse(c))))) = add(a,multiply(c,additive_inverse(c))),
inference(resolve,[$cnf( $equal(add(c,multiply(c,add(b,additive_inverse(c)))),multiply(c,additive_inverse(c))) )],[refute_0_829,refute_0_832]) ).
cnf(refute_0_834,plain,
add(add(a,c),multiply(c,add(b,additive_inverse(c)))) = add(a,add(c,multiply(c,add(b,additive_inverse(c))))),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(c)),bind(Z,$fot(multiply(c,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_835,plain,
( add(add(a,c),multiply(c,add(b,additive_inverse(c)))) != add(a,add(c,multiply(c,add(b,additive_inverse(c)))))
| add(a,add(c,multiply(c,add(b,additive_inverse(c))))) != add(a,multiply(c,additive_inverse(c)))
| add(add(a,c),multiply(c,add(b,additive_inverse(c)))) = add(a,multiply(c,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(a,c),multiply(c,add(b,additive_inverse(c)))))),bind(Y0,$fot(add(a,add(c,multiply(c,add(b,additive_inverse(c))))))),bind(Z0,$fot(add(a,multiply(c,additive_inverse(c)))))]]) ).
cnf(refute_0_836,plain,
( add(a,add(c,multiply(c,add(b,additive_inverse(c))))) != add(a,multiply(c,additive_inverse(c)))
| add(add(a,c),multiply(c,add(b,additive_inverse(c)))) = add(a,multiply(c,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(add(a,c),multiply(c,add(b,additive_inverse(c)))),add(a,add(c,multiply(c,add(b,additive_inverse(c)))))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
add(add(a,c),multiply(c,add(b,additive_inverse(c)))) = add(a,multiply(c,additive_inverse(c))),
inference(resolve,[$cnf( $equal(add(a,add(c,multiply(c,add(b,additive_inverse(c))))),add(a,multiply(c,additive_inverse(c)))) )],[refute_0_833,refute_0_836]) ).
cnf(refute_0_838,plain,
( multiply(add(a,c),a) != add(add(a,c),multiply(c,add(b,additive_inverse(c))))
| add(add(a,c),multiply(c,add(b,additive_inverse(c)))) != add(a,multiply(c,additive_inverse(c)))
| multiply(add(a,c),a) = add(a,multiply(c,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,c),a),add(a,multiply(c,additive_inverse(c)))) ),[0],$fot(add(add(a,c),multiply(c,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_839,plain,
( multiply(add(a,c),a) != add(add(a,c),multiply(c,add(b,additive_inverse(c))))
| multiply(add(a,c),a) = add(a,multiply(c,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(add(a,c),multiply(c,add(b,additive_inverse(c)))),add(a,multiply(c,additive_inverse(c)))) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
( multiply(add(a,c),add(additive_inverse(c),add(a,c))) != add(add(a,c),multiply(c,add(b,additive_inverse(c))))
| multiply(add(a,c),a) = add(a,multiply(c,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),a),add(add(a,c),multiply(c,add(b,additive_inverse(c))))) )],[refute_0_705,refute_0_839]) ).
cnf(refute_0_841,plain,
multiply(add(a,c),a) = add(a,multiply(c,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(c),add(a,c))),add(add(a,c),multiply(c,add(b,additive_inverse(c))))) )],[refute_0_683,refute_0_840]) ).
cnf(refute_0_842,plain,
( multiply(add(a,c),a) != add(a,multiply(c,additive_inverse(c)))
| add(a,multiply(c,additive_inverse(c))) = multiply(add(a,c),a) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(a,c),a))),bind(Y0,$fot(add(a,multiply(c,additive_inverse(c)))))]]) ).
cnf(refute_0_843,plain,
add(a,multiply(c,additive_inverse(c))) = multiply(add(a,c),a),
inference(resolve,[$cnf( $equal(multiply(add(a,c),a),add(a,multiply(c,additive_inverse(c)))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
( multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) != multiply(c,add(a,multiply(c,additive_inverse(c))))
| add(a,multiply(c,additive_inverse(c))) != multiply(add(a,c),a)
| multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) = multiply(c,multiply(add(a,c),a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))),multiply(c,add(a,multiply(c,additive_inverse(c))))) ),[1,1],$fot(multiply(add(a,c),a))]]) ).
cnf(refute_0_845,plain,
( multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) != multiply(c,add(a,multiply(c,additive_inverse(c))))
| multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) = multiply(c,multiply(add(a,c),a)) ),
inference(resolve,[$cnf( $equal(add(a,multiply(c,additive_inverse(c))),multiply(add(a,c),a)) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) = multiply(c,multiply(add(a,c),a)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))),multiply(c,add(a,multiply(c,additive_inverse(c))))) )],[refute_0_95,refute_0_845]) ).
cnf(refute_0_847,plain,
multiply(c,add(additive_inverse(c),a)) = multiply(c,add(a,additive_inverse(c))),
inference(subst,[],[refute_0_821:[bind(X_47,$fot(additive_inverse(c))),bind(X_48,$fot(a))]]) ).
cnf(refute_0_848,plain,
multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))) = multiply(c,add(additive_inverse(c),a)),
inference(subst,[],[refute_0_815:[bind(X_20,$fot(a)),bind(X_28,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_849,plain,
( multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))) != multiply(c,add(additive_inverse(c),a))
| multiply(c,add(additive_inverse(c),a)) != multiply(c,add(a,additive_inverse(c)))
| multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))) = multiply(c,add(a,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))))),bind(Y0,$fot(multiply(c,add(additive_inverse(c),a)))),bind(Z0,$fot(multiply(c,add(a,additive_inverse(c)))))]]) ).
cnf(refute_0_850,plain,
( multiply(c,add(additive_inverse(c),a)) != multiply(c,add(a,additive_inverse(c)))
| multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))) = multiply(c,add(a,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))),multiply(c,add(additive_inverse(c),a))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))) = multiply(c,add(a,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(c,add(additive_inverse(c),a)),multiply(c,add(a,additive_inverse(c)))) )],[refute_0_847,refute_0_850]) ).
cnf(refute_0_852,plain,
multiply(X_27,add(multiply(X_27,X_16),X_29)) = add(multiply(X_27,multiply(X_27,X_16)),multiply(X_27,X_29)),
inference(subst,[],[distribute1:[bind(X,$fot(X_27)),bind(Y,$fot(multiply(X_27,X_16))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_853,plain,
multiply(X_27,multiply(X_27,X_16)) = multiply(X_27,X_16),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(X_27))]]) ).
cnf(refute_0_854,plain,
( multiply(X_27,multiply(X_27,X_16)) != multiply(X_27,X_16)
| multiply(X_27,add(multiply(X_27,X_16),X_29)) != add(multiply(X_27,multiply(X_27,X_16)),multiply(X_27,X_29))
| multiply(X_27,add(multiply(X_27,X_16),X_29)) = add(multiply(X_27,X_16),multiply(X_27,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,add(multiply(X_27,X_16),X_29)),add(multiply(X_27,multiply(X_27,X_16)),multiply(X_27,X_29))) ),[1,0],$fot(multiply(X_27,X_16))]]) ).
cnf(refute_0_855,plain,
( multiply(X_27,add(multiply(X_27,X_16),X_29)) != add(multiply(X_27,multiply(X_27,X_16)),multiply(X_27,X_29))
| multiply(X_27,add(multiply(X_27,X_16),X_29)) = add(multiply(X_27,X_16),multiply(X_27,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(X_27,X_16)),multiply(X_27,X_16)) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
multiply(X_27,add(multiply(X_27,X_16),X_29)) = add(multiply(X_27,X_16),multiply(X_27,X_29)),
inference(resolve,[$cnf( $equal(multiply(X_27,add(multiply(X_27,X_16),X_29)),add(multiply(X_27,multiply(X_27,X_16)),multiply(X_27,X_29))) )],[refute_0_852,refute_0_855]) ).
cnf(refute_0_857,plain,
add(multiply(X_27,X_16),multiply(X_27,X_29)) = multiply(X_27,add(X_16,X_29)),
inference(subst,[],[refute_0_90:[bind(X,$fot(X_27)),bind(Y,$fot(X_16)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_858,plain,
( multiply(X_27,add(multiply(X_27,X_16),X_29)) != add(multiply(X_27,X_16),multiply(X_27,X_29))
| add(multiply(X_27,X_16),multiply(X_27,X_29)) != multiply(X_27,add(X_16,X_29))
| multiply(X_27,add(multiply(X_27,X_16),X_29)) = multiply(X_27,add(X_16,X_29)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_27,add(multiply(X_27,X_16),X_29)),multiply(X_27,add(X_16,X_29))) ),[0],$fot(add(multiply(X_27,X_16),multiply(X_27,X_29)))]]) ).
cnf(refute_0_859,plain,
( multiply(X_27,add(multiply(X_27,X_16),X_29)) != add(multiply(X_27,X_16),multiply(X_27,X_29))
| multiply(X_27,add(multiply(X_27,X_16),X_29)) = multiply(X_27,add(X_16,X_29)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_27,X_16),multiply(X_27,X_29)),multiply(X_27,add(X_16,X_29))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
multiply(X_27,add(multiply(X_27,X_16),X_29)) = multiply(X_27,add(X_16,X_29)),
inference(resolve,[$cnf( $equal(multiply(X_27,add(multiply(X_27,X_16),X_29)),add(multiply(X_27,X_16),multiply(X_27,X_29))) )],[refute_0_856,refute_0_859]) ).
cnf(refute_0_861,plain,
multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))) = multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))),
inference(subst,[],[refute_0_860:[bind(X_16,$fot(additive_inverse(c))),bind(X_27,$fot(c)),bind(X_29,$fot(multiply(a,multiply(b,a))))]]) ).
cnf(refute_0_862,plain,
( multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))) != multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a))))
| multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))) != multiply(c,add(a,additive_inverse(c)))
| multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))) = multiply(c,add(a,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))))),bind(Y0,$fot(multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))))),bind(Z0,$fot(multiply(c,add(a,additive_inverse(c)))))]]) ).
cnf(refute_0_863,plain,
( multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))) != multiply(c,add(a,additive_inverse(c)))
| multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))) = multiply(c,add(a,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))),multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a))))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))) = multiply(c,add(a,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(c,add(additive_inverse(c),multiply(a,multiply(b,a)))),multiply(c,add(a,additive_inverse(c)))) )],[refute_0_851,refute_0_863]) ).
cnf(refute_0_865,plain,
multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) = multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))),
inference(subst,[],[refute_0_821:[bind(X_47,$fot(multiply(a,multiply(b,a)))),bind(X_48,$fot(multiply(c,additive_inverse(c))))]]) ).
cnf(refute_0_866,plain,
( multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) != multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a))))
| multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))) != multiply(c,add(a,additive_inverse(c)))
| multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) = multiply(c,add(a,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))))),bind(Y0,$fot(multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))))),bind(Z0,$fot(multiply(c,add(a,additive_inverse(c)))))]]) ).
cnf(refute_0_867,plain,
( multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))) != multiply(c,add(a,additive_inverse(c)))
| multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) = multiply(c,add(a,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))),multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a))))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) = multiply(c,add(a,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(c,additive_inverse(c)),multiply(a,multiply(b,a)))),multiply(c,add(a,additive_inverse(c)))) )],[refute_0_864,refute_0_867]) ).
cnf(refute_0_869,plain,
( multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) != multiply(c,multiply(add(a,c),a))
| multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) != multiply(c,add(a,additive_inverse(c)))
| multiply(c,add(a,additive_inverse(c))) = multiply(c,multiply(add(a,c),a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))),multiply(c,multiply(add(a,c),a))) ),[0],$fot(multiply(c,add(a,additive_inverse(c))))]]) ).
cnf(refute_0_870,plain,
( multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) != multiply(c,multiply(add(a,c),a))
| multiply(c,add(a,additive_inverse(c))) = multiply(c,multiply(add(a,c),a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))),multiply(c,add(a,additive_inverse(c)))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28)),
inference(subst,[],[refute_0_104:[bind(X_29,$fot(multiply(X_49,X_28)))]]) ).
cnf(refute_0_872,plain,
multiply(add(X_49,multiply(X_49,X_28)),X_28) = add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28)),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(multiply(X_49,X_28))),bind(Z,$fot(X_28))]]) ).
cnf(refute_0_873,plain,
( multiply(add(X_49,multiply(X_49,X_28)),X_28) != add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28))
| add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28)) = multiply(add(X_49,multiply(X_49,X_28)),X_28) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,multiply(X_49,X_28)),X_28))),bind(Y0,$fot(add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28))))]]) ).
cnf(refute_0_874,plain,
add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28)) = multiply(add(X_49,multiply(X_49,X_28)),X_28),
inference(resolve,[$cnf( $equal(multiply(add(X_49,multiply(X_49,X_28)),X_28),add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
( multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) != add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28))
| add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28)) != multiply(add(X_49,multiply(X_49,X_28)),X_28)
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(add(X_49,multiply(X_49,X_28)),X_28) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))),multiply(add(X_49,multiply(X_49,X_28)),X_28)) ),[0],$fot(add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28)))]]) ).
cnf(refute_0_876,plain,
( multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) != add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28))
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(add(X_49,multiply(X_49,X_28)),X_28) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28)),multiply(add(X_49,multiply(X_49,X_28)),X_28)) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(add(X_49,multiply(X_49,X_28)),X_28),
inference(resolve,[$cnf( $equal(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))),add(multiply(X_49,X_28),multiply(multiply(X_49,X_28),X_28))) )],[refute_0_871,refute_0_876]) ).
cnf(refute_0_878,plain,
multiply(X_28,add(X_28,X_28)) = add(X_28,X_28),
inference(subst,[],[refute_0_359:[bind(X_31,$fot(X_28))]]) ).
cnf(refute_0_879,plain,
multiply(X_49,multiply(X_28,add(X_28,X_28))) = multiply(X_49,multiply(X_28,add(X_28,X_28))),
introduced(tautology,[refl,[$fot(multiply(X_49,multiply(X_28,add(X_28,X_28))))]]) ).
cnf(refute_0_880,plain,
( multiply(X_28,add(X_28,X_28)) != add(X_28,X_28)
| multiply(X_49,multiply(X_28,add(X_28,X_28))) != multiply(X_49,multiply(X_28,add(X_28,X_28)))
| multiply(X_49,multiply(X_28,add(X_28,X_28))) = multiply(X_49,add(X_28,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_49,multiply(X_28,add(X_28,X_28))),multiply(X_49,multiply(X_28,add(X_28,X_28)))) ),[1,1],$fot(add(X_28,X_28))]]) ).
cnf(refute_0_881,plain,
( multiply(X_28,add(X_28,X_28)) != add(X_28,X_28)
| multiply(X_49,multiply(X_28,add(X_28,X_28))) = multiply(X_49,add(X_28,X_28)) ),
inference(resolve,[$cnf( $equal(multiply(X_49,multiply(X_28,add(X_28,X_28))),multiply(X_49,multiply(X_28,add(X_28,X_28)))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
multiply(X_49,multiply(X_28,add(X_28,X_28))) = multiply(X_49,add(X_28,X_28)),
inference(resolve,[$cnf( $equal(multiply(X_28,add(X_28,X_28)),add(X_28,X_28)) )],[refute_0_878,refute_0_881]) ).
cnf(refute_0_883,plain,
multiply(multiply(X,Y),add(X_31,multiply(X,Y))) = add(multiply(X,Y),multiply(multiply(X,Y),X_31)),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(X_31)),bind(X_29,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_884,plain,
multiply(X,multiply(Y,X_31)) = multiply(multiply(X,Y),X_31),
inference(subst,[],[associativity_for_multiplication:[bind(Z,$fot(X_31))]]) ).
cnf(refute_0_885,plain,
( multiply(X,multiply(Y,X_31)) != multiply(multiply(X,Y),X_31)
| multiply(multiply(X,Y),X_31) = multiply(X,multiply(Y,X_31)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,multiply(Y,X_31)))),bind(Y0,$fot(multiply(multiply(X,Y),X_31)))]]) ).
cnf(refute_0_886,plain,
multiply(multiply(X,Y),X_31) = multiply(X,multiply(Y,X_31)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,X_31)),multiply(multiply(X,Y),X_31)) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
( multiply(multiply(X,Y),X_31) != multiply(X,multiply(Y,X_31))
| multiply(multiply(X,Y),add(X_31,multiply(X,Y))) != add(multiply(X,Y),multiply(multiply(X,Y),X_31))
| multiply(multiply(X,Y),add(X_31,multiply(X,Y))) = add(multiply(X,Y),multiply(X,multiply(Y,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),add(X_31,multiply(X,Y))),add(multiply(X,Y),multiply(multiply(X,Y),X_31))) ),[1,1],$fot(multiply(X,multiply(Y,X_31)))]]) ).
cnf(refute_0_888,plain,
( multiply(multiply(X,Y),add(X_31,multiply(X,Y))) != add(multiply(X,Y),multiply(multiply(X,Y),X_31))
| multiply(multiply(X,Y),add(X_31,multiply(X,Y))) = add(multiply(X,Y),multiply(X,multiply(Y,X_31))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_31),multiply(X,multiply(Y,X_31))) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
multiply(multiply(X,Y),add(X_31,multiply(X,Y))) = add(multiply(X,Y),multiply(X,multiply(Y,X_31))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),add(X_31,multiply(X,Y))),add(multiply(X,Y),multiply(multiply(X,Y),X_31))) )],[refute_0_883,refute_0_888]) ).
cnf(refute_0_890,plain,
( multiply(X,multiply(Y,Z)) != multiply(multiply(X,Y),Z)
| multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,multiply(Y,Z)))),bind(Y0,$fot(multiply(multiply(X,Y),Z)))]]) ).
cnf(refute_0_891,plain,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)) )],[associativity_for_multiplication,refute_0_890]) ).
cnf(refute_0_892,plain,
multiply(multiply(X,Y),add(X_31,multiply(X,Y))) = multiply(X,multiply(Y,add(X_31,multiply(X,Y)))),
inference(subst,[],[refute_0_891:[bind(Z,$fot(add(X_31,multiply(X,Y))))]]) ).
cnf(refute_0_893,plain,
( multiply(multiply(X,Y),add(X_31,multiply(X,Y))) != multiply(X,multiply(Y,add(X_31,multiply(X,Y))))
| multiply(multiply(X,Y),add(X_31,multiply(X,Y))) != add(multiply(X,Y),multiply(X,multiply(Y,X_31)))
| multiply(X,multiply(Y,add(X_31,multiply(X,Y)))) = add(multiply(X,Y),multiply(X,multiply(Y,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),add(X_31,multiply(X,Y))),add(multiply(X,Y),multiply(X,multiply(Y,X_31)))) ),[0],$fot(multiply(X,multiply(Y,add(X_31,multiply(X,Y)))))]]) ).
cnf(refute_0_894,plain,
( multiply(multiply(X,Y),add(X_31,multiply(X,Y))) != add(multiply(X,Y),multiply(X,multiply(Y,X_31)))
| multiply(X,multiply(Y,add(X_31,multiply(X,Y)))) = add(multiply(X,Y),multiply(X,multiply(Y,X_31))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),add(X_31,multiply(X,Y))),multiply(X,multiply(Y,add(X_31,multiply(X,Y))))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
add(Y,multiply(Y,X_31)) = multiply(Y,add(X_31,Y)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(X_31)),bind(X_29,$fot(Y))]]) ).
cnf(refute_0_896,plain,
multiply(X,add(Y,multiply(Y,X_31))) = multiply(X,add(Y,multiply(Y,X_31))),
introduced(tautology,[refl,[$fot(multiply(X,add(Y,multiply(Y,X_31))))]]) ).
cnf(refute_0_897,plain,
( multiply(X,add(Y,multiply(Y,X_31))) != multiply(X,add(Y,multiply(Y,X_31)))
| add(Y,multiply(Y,X_31)) != multiply(Y,add(X_31,Y))
| multiply(X,add(Y,multiply(Y,X_31))) = multiply(X,multiply(Y,add(X_31,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,multiply(Y,X_31))),multiply(X,add(Y,multiply(Y,X_31)))) ),[1,1],$fot(multiply(Y,add(X_31,Y)))]]) ).
cnf(refute_0_898,plain,
( add(Y,multiply(Y,X_31)) != multiply(Y,add(X_31,Y))
| multiply(X,add(Y,multiply(Y,X_31))) = multiply(X,multiply(Y,add(X_31,Y))) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(Y,X_31))),multiply(X,add(Y,multiply(Y,X_31)))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
multiply(X,add(Y,multiply(Y,X_31))) = multiply(X,multiply(Y,add(X_31,Y))),
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,X_31)),multiply(Y,add(X_31,Y))) )],[refute_0_895,refute_0_898]) ).
cnf(refute_0_900,plain,
add(multiply(X,Y),multiply(X,multiply(Y,X_31))) = multiply(X,add(Y,multiply(Y,X_31))),
inference(subst,[],[refute_0_90:[bind(Z,$fot(multiply(Y,X_31)))]]) ).
cnf(refute_0_901,plain,
( multiply(X,add(Y,multiply(Y,X_31))) != multiply(X,multiply(Y,add(X_31,Y)))
| add(multiply(X,Y),multiply(X,multiply(Y,X_31))) != multiply(X,add(Y,multiply(Y,X_31)))
| add(multiply(X,Y),multiply(X,multiply(Y,X_31))) = multiply(X,multiply(Y,add(X_31,Y))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X,Y),multiply(X,multiply(Y,X_31))))),bind(Y0,$fot(multiply(X,add(Y,multiply(Y,X_31))))),bind(Z0,$fot(multiply(X,multiply(Y,add(X_31,Y)))))]]) ).
cnf(refute_0_902,plain,
( multiply(X,add(Y,multiply(Y,X_31))) != multiply(X,multiply(Y,add(X_31,Y)))
| add(multiply(X,Y),multiply(X,multiply(Y,X_31))) = multiply(X,multiply(Y,add(X_31,Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,multiply(Y,X_31))),multiply(X,add(Y,multiply(Y,X_31)))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
add(multiply(X,Y),multiply(X,multiply(Y,X_31))) = multiply(X,multiply(Y,add(X_31,Y))),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(Y,X_31))),multiply(X,multiply(Y,add(X_31,Y)))) )],[refute_0_899,refute_0_902]) ).
cnf(refute_0_904,plain,
( multiply(X,multiply(Y,add(X_31,multiply(X,Y)))) != add(multiply(X,Y),multiply(X,multiply(Y,X_31)))
| add(multiply(X,Y),multiply(X,multiply(Y,X_31))) != multiply(X,multiply(Y,add(X_31,Y)))
| multiply(X,multiply(Y,add(X_31,multiply(X,Y)))) = multiply(X,multiply(Y,add(X_31,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(Y,add(X_31,multiply(X,Y)))),multiply(X,multiply(Y,add(X_31,Y)))) ),[0],$fot(add(multiply(X,Y),multiply(X,multiply(Y,X_31))))]]) ).
cnf(refute_0_905,plain,
( multiply(X,multiply(Y,add(X_31,multiply(X,Y)))) != add(multiply(X,Y),multiply(X,multiply(Y,X_31)))
| multiply(X,multiply(Y,add(X_31,multiply(X,Y)))) = multiply(X,multiply(Y,add(X_31,Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,multiply(Y,X_31))),multiply(X,multiply(Y,add(X_31,Y)))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
( multiply(multiply(X,Y),add(X_31,multiply(X,Y))) != add(multiply(X,Y),multiply(X,multiply(Y,X_31)))
| multiply(X,multiply(Y,add(X_31,multiply(X,Y)))) = multiply(X,multiply(Y,add(X_31,Y))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,add(X_31,multiply(X,Y)))),add(multiply(X,Y),multiply(X,multiply(Y,X_31)))) )],[refute_0_894,refute_0_905]) ).
cnf(refute_0_907,plain,
multiply(X,multiply(Y,add(X_31,multiply(X,Y)))) = multiply(X,multiply(Y,add(X_31,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),add(X_31,multiply(X,Y))),add(multiply(X,Y),multiply(X,multiply(Y,X_31)))) )],[refute_0_889,refute_0_906]) ).
cnf(refute_0_908,plain,
multiply(X_49,multiply(X_28,add(X_28,multiply(X_49,X_28)))) = multiply(X_49,multiply(X_28,add(X_28,X_28))),
inference(subst,[],[refute_0_907:[bind(X,$fot(X_49)),bind(Y,$fot(X_28)),bind(X_31,$fot(X_28))]]) ).
cnf(refute_0_909,plain,
multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(X_49,multiply(X_28,add(X_28,multiply(X_49,X_28)))),
inference(subst,[],[refute_0_891:[bind(X,$fot(X_49)),bind(Y,$fot(X_28)),bind(Z,$fot(add(X_28,multiply(X_49,X_28))))]]) ).
cnf(refute_0_910,plain,
( multiply(X_49,multiply(X_28,add(X_28,multiply(X_49,X_28)))) != multiply(X_49,multiply(X_28,add(X_28,X_28)))
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) != multiply(X_49,multiply(X_28,add(X_28,multiply(X_49,X_28))))
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(X_49,multiply(X_28,add(X_28,X_28))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))))),bind(Y0,$fot(multiply(X_49,multiply(X_28,add(X_28,multiply(X_49,X_28)))))),bind(Z0,$fot(multiply(X_49,multiply(X_28,add(X_28,X_28)))))]]) ).
cnf(refute_0_911,plain,
( multiply(X_49,multiply(X_28,add(X_28,multiply(X_49,X_28)))) != multiply(X_49,multiply(X_28,add(X_28,X_28)))
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(X_49,multiply(X_28,add(X_28,X_28))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))),multiply(X_49,multiply(X_28,add(X_28,multiply(X_49,X_28))))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(X_49,multiply(X_28,add(X_28,X_28))),
inference(resolve,[$cnf( $equal(multiply(X_49,multiply(X_28,add(X_28,multiply(X_49,X_28)))),multiply(X_49,multiply(X_28,add(X_28,X_28)))) )],[refute_0_908,refute_0_911]) ).
cnf(refute_0_913,plain,
( multiply(X_49,multiply(X_28,add(X_28,X_28))) != multiply(X_49,add(X_28,X_28))
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) != multiply(X_49,multiply(X_28,add(X_28,X_28)))
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(X_49,add(X_28,X_28)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))))),bind(Y0,$fot(multiply(X_49,multiply(X_28,add(X_28,X_28))))),bind(Z0,$fot(multiply(X_49,add(X_28,X_28))))]]) ).
cnf(refute_0_914,plain,
( multiply(X_49,multiply(X_28,add(X_28,X_28))) != multiply(X_49,add(X_28,X_28))
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(X_49,add(X_28,X_28)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))),multiply(X_49,multiply(X_28,add(X_28,X_28)))) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) = multiply(X_49,add(X_28,X_28)),
inference(resolve,[$cnf( $equal(multiply(X_49,multiply(X_28,add(X_28,X_28))),multiply(X_49,add(X_28,X_28))) )],[refute_0_882,refute_0_914]) ).
cnf(refute_0_916,plain,
( multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) != multiply(X_49,add(X_28,X_28))
| multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) != multiply(add(X_49,multiply(X_49,X_28)),X_28)
| multiply(X_49,add(X_28,X_28)) = multiply(add(X_49,multiply(X_49,X_28)),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))),multiply(add(X_49,multiply(X_49,X_28)),X_28)) ),[0],$fot(multiply(X_49,add(X_28,X_28)))]]) ).
cnf(refute_0_917,plain,
( multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) != multiply(add(X_49,multiply(X_49,X_28)),X_28)
| multiply(X_49,add(X_28,X_28)) = multiply(add(X_49,multiply(X_49,X_28)),X_28) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))),multiply(X_49,add(X_28,X_28))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
multiply(multiply(X_49,add(X_28,X_49)),X_28) = multiply(X_49,multiply(add(X_28,X_49),X_28)),
inference(subst,[],[refute_0_891:[bind(X,$fot(X_49)),bind(Y,$fot(add(X_28,X_49))),bind(Z,$fot(X_28))]]) ).
cnf(refute_0_919,plain,
add(X_49,multiply(X_49,X_28)) = multiply(X_49,add(X_28,X_49)),
inference(subst,[],[refute_0_293:[bind(X_29,$fot(X_49))]]) ).
cnf(refute_0_920,plain,
multiply(add(X_49,multiply(X_49,X_28)),X_28) = multiply(add(X_49,multiply(X_49,X_28)),X_28),
introduced(tautology,[refl,[$fot(multiply(add(X_49,multiply(X_49,X_28)),X_28))]]) ).
cnf(refute_0_921,plain,
( multiply(add(X_49,multiply(X_49,X_28)),X_28) != multiply(add(X_49,multiply(X_49,X_28)),X_28)
| add(X_49,multiply(X_49,X_28)) != multiply(X_49,add(X_28,X_49))
| multiply(add(X_49,multiply(X_49,X_28)),X_28) = multiply(multiply(X_49,add(X_28,X_49)),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,multiply(X_49,X_28)),X_28),multiply(add(X_49,multiply(X_49,X_28)),X_28)) ),[1,0],$fot(multiply(X_49,add(X_28,X_49)))]]) ).
cnf(refute_0_922,plain,
( add(X_49,multiply(X_49,X_28)) != multiply(X_49,add(X_28,X_49))
| multiply(add(X_49,multiply(X_49,X_28)),X_28) = multiply(multiply(X_49,add(X_28,X_49)),X_28) ),
inference(resolve,[$cnf( $equal(multiply(add(X_49,multiply(X_49,X_28)),X_28),multiply(add(X_49,multiply(X_49,X_28)),X_28)) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
multiply(add(X_49,multiply(X_49,X_28)),X_28) = multiply(multiply(X_49,add(X_28,X_49)),X_28),
inference(resolve,[$cnf( $equal(add(X_49,multiply(X_49,X_28)),multiply(X_49,add(X_28,X_49))) )],[refute_0_919,refute_0_922]) ).
cnf(refute_0_924,plain,
( multiply(multiply(X_49,add(X_28,X_49)),X_28) != multiply(X_49,multiply(add(X_28,X_49),X_28))
| multiply(add(X_49,multiply(X_49,X_28)),X_28) != multiply(multiply(X_49,add(X_28,X_49)),X_28)
| multiply(add(X_49,multiply(X_49,X_28)),X_28) = multiply(X_49,multiply(add(X_28,X_49),X_28)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(X_49,multiply(X_49,X_28)),X_28))),bind(Y0,$fot(multiply(multiply(X_49,add(X_28,X_49)),X_28))),bind(Z0,$fot(multiply(X_49,multiply(add(X_28,X_49),X_28))))]]) ).
cnf(refute_0_925,plain,
( multiply(multiply(X_49,add(X_28,X_49)),X_28) != multiply(X_49,multiply(add(X_28,X_49),X_28))
| multiply(add(X_49,multiply(X_49,X_28)),X_28) = multiply(X_49,multiply(add(X_28,X_49),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_49,multiply(X_49,X_28)),X_28),multiply(multiply(X_49,add(X_28,X_49)),X_28)) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
multiply(add(X_49,multiply(X_49,X_28)),X_28) = multiply(X_49,multiply(add(X_28,X_49),X_28)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_49,add(X_28,X_49)),X_28),multiply(X_49,multiply(add(X_28,X_49),X_28))) )],[refute_0_918,refute_0_925]) ).
cnf(refute_0_927,plain,
( multiply(X_49,add(X_28,X_28)) != multiply(add(X_49,multiply(X_49,X_28)),X_28)
| multiply(add(X_49,multiply(X_49,X_28)),X_28) != multiply(X_49,multiply(add(X_28,X_49),X_28))
| multiply(X_49,add(X_28,X_28)) = multiply(X_49,multiply(add(X_28,X_49),X_28)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_49,add(X_28,X_28)),multiply(X_49,multiply(add(X_28,X_49),X_28))) ),[0],$fot(multiply(add(X_49,multiply(X_49,X_28)),X_28))]]) ).
cnf(refute_0_928,plain,
( multiply(X_49,add(X_28,X_28)) != multiply(add(X_49,multiply(X_49,X_28)),X_28)
| multiply(X_49,add(X_28,X_28)) = multiply(X_49,multiply(add(X_28,X_49),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_49,multiply(X_49,X_28)),X_28),multiply(X_49,multiply(add(X_28,X_49),X_28))) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
( multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))) != multiply(add(X_49,multiply(X_49,X_28)),X_28)
| multiply(X_49,add(X_28,X_28)) = multiply(X_49,multiply(add(X_28,X_49),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(X_49,add(X_28,X_28)),multiply(add(X_49,multiply(X_49,X_28)),X_28)) )],[refute_0_917,refute_0_928]) ).
cnf(refute_0_930,plain,
multiply(X_49,add(X_28,X_28)) = multiply(X_49,multiply(add(X_28,X_49),X_28)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_49,X_28),add(X_28,multiply(X_49,X_28))),multiply(add(X_49,multiply(X_49,X_28)),X_28)) )],[refute_0_877,refute_0_929]) ).
cnf(refute_0_931,plain,
multiply(c,add(multiply(b,Z),multiply(b,Z))) = multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))),
inference(subst,[],[refute_0_930:[bind(X_28,$fot(multiply(b,Z))),bind(X_49,$fot(c))]]) ).
cnf(refute_0_932,plain,
multiply(c,add(multiply(b,Z),multiply(b,Z))) = multiply(c,add(Z,multiply(b,Z))),
inference(subst,[],[refute_0_732:[bind(X_29,$fot(multiply(b,Z)))]]) ).
cnf(refute_0_933,plain,
( multiply(c,add(multiply(b,Z),multiply(b,Z))) != multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))
| multiply(c,add(multiply(b,Z),multiply(b,Z))) != multiply(c,add(Z,multiply(b,Z)))
| multiply(c,add(Z,multiply(b,Z))) = multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,Z),multiply(b,Z))),multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))) ),[0],$fot(multiply(c,add(Z,multiply(b,Z))))]]) ).
cnf(refute_0_934,plain,
( multiply(c,add(multiply(b,Z),multiply(b,Z))) != multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))
| multiply(c,add(Z,multiply(b,Z))) = multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),multiply(b,Z))),multiply(c,add(Z,multiply(b,Z)))) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
multiply(c,add(Z,multiply(b,Z))) = multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),multiply(b,Z))),multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))) )],[refute_0_931,refute_0_934]) ).
cnf(refute_0_936,plain,
multiply(c,add(Z,multiply(b,Z))) = multiply(c,add(Z,Z)),
inference(subst,[],[refute_0_759:[bind(X_28,$fot(Z))]]) ).
cnf(refute_0_937,plain,
( multiply(c,add(Z,multiply(b,Z))) != multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))
| multiply(c,add(Z,multiply(b,Z))) != multiply(c,add(Z,Z))
| multiply(c,add(Z,Z)) = multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(Z,multiply(b,Z))),multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))) ),[0],$fot(multiply(c,add(Z,Z)))]]) ).
cnf(refute_0_938,plain,
( multiply(c,add(Z,multiply(b,Z))) != multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))
| multiply(c,add(Z,Z)) = multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(Z,multiply(b,Z))),multiply(c,add(Z,Z))) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
multiply(add(a,a),multiply(b,Z)) = multiply(multiply(add(a,a),b),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(add(a,a))),bind(Y,$fot(b))]]) ).
cnf(refute_0_940,plain,
multiply(a,add(b,b)) = add(multiply(a,b),multiply(a,b)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(b))]]) ).
cnf(refute_0_941,plain,
( multiply(a,add(b,b)) != add(multiply(a,b),multiply(a,b))
| multiply(a,add(b,b)) != add(c,c)
| add(c,c) = add(multiply(a,b),multiply(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(b,b)),add(multiply(a,b),multiply(a,b))) ),[0],$fot(add(c,c))]]) ).
cnf(refute_0_942,plain,
( multiply(a,add(b,b)) != add(multiply(a,b),multiply(a,b))
| add(c,c) = add(multiply(a,b),multiply(a,b)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,b)),add(c,c)) )],[refute_0_200,refute_0_941]) ).
cnf(refute_0_943,plain,
add(c,c) = add(multiply(a,b),multiply(a,b)),
inference(resolve,[$cnf( $equal(multiply(a,add(b,b)),add(multiply(a,b),multiply(a,b))) )],[refute_0_940,refute_0_942]) ).
cnf(refute_0_944,plain,
add(multiply(a,b),multiply(a,b)) = multiply(add(a,a),b),
inference(subst,[],[refute_0_308:[bind(X,$fot(a)),bind(Y,$fot(a)),bind(Z,$fot(b))]]) ).
cnf(refute_0_945,plain,
( add(multiply(a,b),multiply(a,b)) != multiply(add(a,a),b)
| add(c,c) != add(multiply(a,b),multiply(a,b))
| add(c,c) = multiply(add(a,a),b) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,c),add(multiply(a,b),multiply(a,b))) ),[1],$fot(multiply(add(a,a),b))]]) ).
cnf(refute_0_946,plain,
( add(c,c) != add(multiply(a,b),multiply(a,b))
| add(c,c) = multiply(add(a,a),b) ),
inference(resolve,[$cnf( $equal(add(multiply(a,b),multiply(a,b)),multiply(add(a,a),b)) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
add(c,c) = multiply(add(a,a),b),
inference(resolve,[$cnf( $equal(add(c,c),add(multiply(a,b),multiply(a,b))) )],[refute_0_943,refute_0_946]) ).
cnf(refute_0_948,plain,
( add(c,c) != multiply(add(a,a),b)
| multiply(add(a,a),b) = add(c,c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(c,c))),bind(Y0,$fot(multiply(add(a,a),b)))]]) ).
cnf(refute_0_949,plain,
multiply(add(a,a),b) = add(c,c),
inference(resolve,[$cnf( $equal(add(c,c),multiply(add(a,a),b)) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
( multiply(add(a,a),multiply(b,Z)) != multiply(multiply(add(a,a),b),Z)
| multiply(add(a,a),b) != add(c,c)
| multiply(add(a,a),multiply(b,Z)) = multiply(add(c,c),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,a),multiply(b,Z)),multiply(multiply(add(a,a),b),Z)) ),[1,0],$fot(add(c,c))]]) ).
cnf(refute_0_951,plain,
( multiply(add(a,a),multiply(b,Z)) != multiply(multiply(add(a,a),b),Z)
| multiply(add(a,a),multiply(b,Z)) = multiply(add(c,c),Z) ),
inference(resolve,[$cnf( $equal(multiply(add(a,a),b),add(c,c)) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
multiply(add(a,a),multiply(b,Z)) = multiply(add(c,c),Z),
inference(resolve,[$cnf( $equal(multiply(add(a,a),multiply(b,Z)),multiply(multiply(add(a,a),b),Z)) )],[refute_0_939,refute_0_951]) ).
cnf(refute_0_953,plain,
multiply(add(c,c),Z) = multiply(add(c,c),Z),
introduced(tautology,[refl,[$fot(multiply(add(c,c),Z))]]) ).
cnf(refute_0_954,plain,
( multiply(add(c,c),Z) != multiply(add(c,c),Z)
| add(c,c) != additive_identity
| multiply(add(c,c),Z) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(c,c),Z),multiply(add(c,c),Z)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_955,plain,
( add(c,c) != additive_identity
| multiply(add(c,c),Z) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),Z),multiply(add(c,c),Z)) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
multiply(add(c,c),Z) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(add(c,c),additive_identity) )],[refute_0_439,refute_0_955]) ).
cnf(refute_0_957,plain,
( multiply(add(a,a),multiply(b,Z)) != multiply(add(c,c),Z)
| multiply(add(c,c),Z) != multiply(additive_identity,Z)
| multiply(add(a,a),multiply(b,Z)) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,a),multiply(b,Z)),multiply(additive_identity,Z)) ),[0],$fot(multiply(add(c,c),Z))]]) ).
cnf(refute_0_958,plain,
( multiply(add(a,a),multiply(b,Z)) != multiply(add(c,c),Z)
| multiply(add(a,a),multiply(b,Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),Z),multiply(additive_identity,Z)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
multiply(add(a,a),multiply(b,Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(add(a,a),multiply(b,Z)),multiply(add(c,c),Z)) )],[refute_0_952,refute_0_958]) ).
cnf(refute_0_960,plain,
multiply(add(c,X_50),multiply(b,Z)) = add(multiply(c,multiply(b,Z)),multiply(X_50,multiply(b,Z))),
inference(subst,[],[distribute2:[bind(X,$fot(c)),bind(Y,$fot(X_50)),bind(Z,$fot(multiply(b,Z)))]]) ).
cnf(refute_0_961,plain,
( multiply(add(c,X_50),multiply(b,Z)) != add(multiply(c,multiply(b,Z)),multiply(X_50,multiply(b,Z)))
| multiply(c,multiply(b,Z)) != multiply(c,Z)
| multiply(add(c,X_50),multiply(b,Z)) = add(multiply(c,Z),multiply(X_50,multiply(b,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(c,X_50),multiply(b,Z)),add(multiply(c,multiply(b,Z)),multiply(X_50,multiply(b,Z)))) ),[1,0],$fot(multiply(c,Z))]]) ).
cnf(refute_0_962,plain,
( multiply(add(c,X_50),multiply(b,Z)) != add(multiply(c,multiply(b,Z)),multiply(X_50,multiply(b,Z)))
| multiply(add(c,X_50),multiply(b,Z)) = add(multiply(c,Z),multiply(X_50,multiply(b,Z))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(b,Z)),multiply(c,Z)) )],[refute_0_40,refute_0_961]) ).
cnf(refute_0_963,plain,
multiply(add(c,X_50),multiply(b,Z)) = add(multiply(c,Z),multiply(X_50,multiply(b,Z))),
inference(resolve,[$cnf( $equal(multiply(add(c,X_50),multiply(b,Z)),add(multiply(c,multiply(b,Z)),multiply(X_50,multiply(b,Z)))) )],[refute_0_960,refute_0_962]) ).
cnf(refute_0_964,plain,
multiply(add(X_49,a),multiply(b,X_16)) = add(multiply(X_49,multiply(b,X_16)),multiply(a,multiply(b,X_16))),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(a)),bind(Z,$fot(multiply(b,X_16)))]]) ).
cnf(refute_0_965,plain,
( multiply(add(X_49,a),multiply(b,X_16)) != add(multiply(X_49,multiply(b,X_16)),multiply(a,multiply(b,X_16)))
| multiply(a,multiply(b,X_16)) != multiply(c,X_16)
| multiply(add(X_49,a),multiply(b,X_16)) = add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,a),multiply(b,X_16)),add(multiply(X_49,multiply(b,X_16)),multiply(a,multiply(b,X_16)))) ),[1,1],$fot(multiply(c,X_16))]]) ).
cnf(refute_0_966,plain,
( multiply(add(X_49,a),multiply(b,X_16)) != add(multiply(X_49,multiply(b,X_16)),multiply(a,multiply(b,X_16)))
| multiply(add(X_49,a),multiply(b,X_16)) = add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,X_16)),multiply(c,X_16)) )],[refute_0_27,refute_0_965]) ).
cnf(refute_0_967,plain,
multiply(add(X_49,a),multiply(b,X_16)) = add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),multiply(b,X_16)),add(multiply(X_49,multiply(b,X_16)),multiply(a,multiply(b,X_16)))) )],[refute_0_964,refute_0_966]) ).
cnf(refute_0_968,plain,
multiply(add(X_49,multiply(X,Y)),X_51) = add(multiply(X_49,X_51),multiply(multiply(X,Y),X_51)),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(multiply(X,Y))),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_969,plain,
multiply(X,multiply(Y,X_51)) = multiply(multiply(X,Y),X_51),
inference(subst,[],[associativity_for_multiplication:[bind(Z,$fot(X_51))]]) ).
cnf(refute_0_970,plain,
( multiply(X,multiply(Y,X_51)) != multiply(multiply(X,Y),X_51)
| multiply(multiply(X,Y),X_51) = multiply(X,multiply(Y,X_51)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,multiply(Y,X_51)))),bind(Y0,$fot(multiply(multiply(X,Y),X_51)))]]) ).
cnf(refute_0_971,plain,
multiply(multiply(X,Y),X_51) = multiply(X,multiply(Y,X_51)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,X_51)),multiply(multiply(X,Y),X_51)) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
( multiply(multiply(X,Y),X_51) != multiply(X,multiply(Y,X_51))
| multiply(add(X_49,multiply(X,Y)),X_51) != add(multiply(X_49,X_51),multiply(multiply(X,Y),X_51))
| multiply(add(X_49,multiply(X,Y)),X_51) = add(multiply(X_49,X_51),multiply(X,multiply(Y,X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,multiply(X,Y)),X_51),add(multiply(X_49,X_51),multiply(multiply(X,Y),X_51))) ),[1,1],$fot(multiply(X,multiply(Y,X_51)))]]) ).
cnf(refute_0_973,plain,
( multiply(add(X_49,multiply(X,Y)),X_51) != add(multiply(X_49,X_51),multiply(multiply(X,Y),X_51))
| multiply(add(X_49,multiply(X,Y)),X_51) = add(multiply(X_49,X_51),multiply(X,multiply(Y,X_51))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_51),multiply(X,multiply(Y,X_51))) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
multiply(add(X_49,multiply(X,Y)),X_51) = add(multiply(X_49,X_51),multiply(X,multiply(Y,X_51))),
inference(resolve,[$cnf( $equal(multiply(add(X_49,multiply(X,Y)),X_51),add(multiply(X_49,X_51),multiply(multiply(X,Y),X_51))) )],[refute_0_968,refute_0_973]) ).
cnf(refute_0_975,plain,
( multiply(add(X_49,multiply(X,Y)),X_51) != add(multiply(X_49,X_51),multiply(X,multiply(Y,X_51)))
| add(multiply(X_49,X_51),multiply(X,multiply(Y,X_51))) = multiply(add(X_49,multiply(X,Y)),X_51) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,multiply(X,Y)),X_51))),bind(Y0,$fot(add(multiply(X_49,X_51),multiply(X,multiply(Y,X_51)))))]]) ).
cnf(refute_0_976,plain,
add(multiply(X_49,X_51),multiply(X,multiply(Y,X_51))) = multiply(add(X_49,multiply(X,Y)),X_51),
inference(resolve,[$cnf( $equal(multiply(add(X_49,multiply(X,Y)),X_51),add(multiply(X_49,X_51),multiply(X,multiply(Y,X_51)))) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
add(multiply(c,X_16),multiply(X_49,multiply(b,X_16))) = multiply(add(c,multiply(X_49,b)),X_16),
inference(subst,[],[refute_0_976:[bind(X,$fot(X_49)),bind(Y,$fot(b)),bind(X_49,$fot(c)),bind(X_51,$fot(X_16))]]) ).
cnf(refute_0_978,plain,
add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)) = add(multiply(c,X_16),multiply(X_49,multiply(b,X_16))),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(c,X_16))),bind(Y,$fot(multiply(X_49,multiply(b,X_16))))]]) ).
cnf(refute_0_979,plain,
( add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)) != add(multiply(c,X_16),multiply(X_49,multiply(b,X_16)))
| add(multiply(c,X_16),multiply(X_49,multiply(b,X_16))) != multiply(add(c,multiply(X_49,b)),X_16)
| add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)) = multiply(add(c,multiply(X_49,b)),X_16) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)))),bind(Y0,$fot(add(multiply(c,X_16),multiply(X_49,multiply(b,X_16))))),bind(Z0,$fot(multiply(add(c,multiply(X_49,b)),X_16)))]]) ).
cnf(refute_0_980,plain,
( add(multiply(c,X_16),multiply(X_49,multiply(b,X_16))) != multiply(add(c,multiply(X_49,b)),X_16)
| add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)) = multiply(add(c,multiply(X_49,b)),X_16) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)),add(multiply(c,X_16),multiply(X_49,multiply(b,X_16)))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)) = multiply(add(c,multiply(X_49,b)),X_16),
inference(resolve,[$cnf( $equal(add(multiply(c,X_16),multiply(X_49,multiply(b,X_16))),multiply(add(c,multiply(X_49,b)),X_16)) )],[refute_0_977,refute_0_980]) ).
cnf(refute_0_982,plain,
( multiply(add(X_49,a),multiply(b,X_16)) != add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16))
| add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)) != multiply(add(c,multiply(X_49,b)),X_16)
| multiply(add(X_49,a),multiply(b,X_16)) = multiply(add(c,multiply(X_49,b)),X_16) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,a),multiply(b,X_16)),multiply(add(c,multiply(X_49,b)),X_16)) ),[0],$fot(add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)))]]) ).
cnf(refute_0_983,plain,
( multiply(add(X_49,a),multiply(b,X_16)) != add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16))
| multiply(add(X_49,a),multiply(b,X_16)) = multiply(add(c,multiply(X_49,b)),X_16) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16)),multiply(add(c,multiply(X_49,b)),X_16)) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
multiply(add(X_49,a),multiply(b,X_16)) = multiply(add(c,multiply(X_49,b)),X_16),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),multiply(b,X_16)),add(multiply(X_49,multiply(b,X_16)),multiply(c,X_16))) )],[refute_0_967,refute_0_983]) ).
cnf(refute_0_985,plain,
( multiply(add(X_49,a),multiply(b,X_16)) != multiply(add(c,multiply(X_49,b)),X_16)
| multiply(add(c,multiply(X_49,b)),X_16) = multiply(add(X_49,a),multiply(b,X_16)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,a),multiply(b,X_16)))),bind(Y0,$fot(multiply(add(c,multiply(X_49,b)),X_16)))]]) ).
cnf(refute_0_986,plain,
multiply(add(c,multiply(X_49,b)),X_16) = multiply(add(X_49,a),multiply(b,X_16)),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),multiply(b,X_16)),multiply(add(c,multiply(X_49,b)),X_16)) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
multiply(add(c,multiply(X_50,b)),Z) = multiply(add(X_50,a),multiply(b,Z)),
inference(subst,[],[refute_0_986:[bind(X_16,$fot(Z)),bind(X_49,$fot(X_50))]]) ).
cnf(refute_0_988,plain,
add(multiply(c,Z),multiply(X_50,multiply(b,Z))) = multiply(add(c,multiply(X_50,b)),Z),
inference(subst,[],[refute_0_976:[bind(X,$fot(X_50)),bind(Y,$fot(b)),bind(X_49,$fot(c)),bind(X_51,$fot(Z))]]) ).
cnf(refute_0_989,plain,
( multiply(add(c,multiply(X_50,b)),Z) != multiply(add(X_50,a),multiply(b,Z))
| add(multiply(c,Z),multiply(X_50,multiply(b,Z))) != multiply(add(c,multiply(X_50,b)),Z)
| add(multiply(c,Z),multiply(X_50,multiply(b,Z))) = multiply(add(X_50,a),multiply(b,Z)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(c,Z),multiply(X_50,multiply(b,Z))))),bind(Y0,$fot(multiply(add(c,multiply(X_50,b)),Z))),bind(Z0,$fot(multiply(add(X_50,a),multiply(b,Z))))]]) ).
cnf(refute_0_990,plain,
( multiply(add(c,multiply(X_50,b)),Z) != multiply(add(X_50,a),multiply(b,Z))
| add(multiply(c,Z),multiply(X_50,multiply(b,Z))) = multiply(add(X_50,a),multiply(b,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,Z),multiply(X_50,multiply(b,Z))),multiply(add(c,multiply(X_50,b)),Z)) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
add(multiply(c,Z),multiply(X_50,multiply(b,Z))) = multiply(add(X_50,a),multiply(b,Z)),
inference(resolve,[$cnf( $equal(multiply(add(c,multiply(X_50,b)),Z),multiply(add(X_50,a),multiply(b,Z))) )],[refute_0_987,refute_0_990]) ).
cnf(refute_0_992,plain,
( multiply(add(c,X_50),multiply(b,Z)) != add(multiply(c,Z),multiply(X_50,multiply(b,Z)))
| add(multiply(c,Z),multiply(X_50,multiply(b,Z))) != multiply(add(X_50,a),multiply(b,Z))
| multiply(add(c,X_50),multiply(b,Z)) = multiply(add(X_50,a),multiply(b,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(c,X_50),multiply(b,Z)),multiply(add(X_50,a),multiply(b,Z))) ),[0],$fot(add(multiply(c,Z),multiply(X_50,multiply(b,Z))))]]) ).
cnf(refute_0_993,plain,
( multiply(add(c,X_50),multiply(b,Z)) != add(multiply(c,Z),multiply(X_50,multiply(b,Z)))
| multiply(add(c,X_50),multiply(b,Z)) = multiply(add(X_50,a),multiply(b,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,Z),multiply(X_50,multiply(b,Z))),multiply(add(X_50,a),multiply(b,Z))) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
multiply(add(c,X_50),multiply(b,Z)) = multiply(add(X_50,a),multiply(b,Z)),
inference(resolve,[$cnf( $equal(multiply(add(c,X_50),multiply(b,Z)),add(multiply(c,Z),multiply(X_50,multiply(b,Z)))) )],[refute_0_963,refute_0_993]) ).
cnf(refute_0_995,plain,
multiply(add(c,a),multiply(b,Z)) = multiply(add(a,a),multiply(b,Z)),
inference(subst,[],[refute_0_994:[bind(X_50,$fot(a))]]) ).
cnf(refute_0_996,plain,
( multiply(add(a,a),multiply(b,Z)) != multiply(additive_identity,Z)
| multiply(add(c,a),multiply(b,Z)) != multiply(add(a,a),multiply(b,Z))
| multiply(add(c,a),multiply(b,Z)) = multiply(additive_identity,Z) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(c,a),multiply(b,Z)))),bind(Y0,$fot(multiply(add(a,a),multiply(b,Z)))),bind(Z0,$fot(multiply(additive_identity,Z)))]]) ).
cnf(refute_0_997,plain,
( multiply(add(a,a),multiply(b,Z)) != multiply(additive_identity,Z)
| multiply(add(c,a),multiply(b,Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(add(c,a),multiply(b,Z)),multiply(add(a,a),multiply(b,Z))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
multiply(add(c,a),multiply(b,Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(add(a,a),multiply(b,Z)),multiply(additive_identity,Z)) )],[refute_0_959,refute_0_997]) ).
cnf(refute_0_999,plain,
multiply(add(c,c),multiply(b,Z)) = multiply(add(c,a),multiply(b,Z)),
inference(subst,[],[refute_0_994:[bind(X_50,$fot(c))]]) ).
cnf(refute_0_1000,plain,
( multiply(add(c,a),multiply(b,Z)) != multiply(additive_identity,Z)
| multiply(add(c,c),multiply(b,Z)) != multiply(add(c,a),multiply(b,Z))
| multiply(add(c,c),multiply(b,Z)) = multiply(additive_identity,Z) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(c,c),multiply(b,Z)))),bind(Y0,$fot(multiply(add(c,a),multiply(b,Z)))),bind(Z0,$fot(multiply(additive_identity,Z)))]]) ).
cnf(refute_0_1001,plain,
( multiply(add(c,a),multiply(b,Z)) != multiply(additive_identity,Z)
| multiply(add(c,c),multiply(b,Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),multiply(b,Z)),multiply(add(c,a),multiply(b,Z))) )],[refute_0_999,refute_0_1000]) ).
cnf(refute_0_1002,plain,
multiply(add(c,c),multiply(b,Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(add(c,a),multiply(b,Z)),multiply(additive_identity,Z)) )],[refute_0_998,refute_0_1001]) ).
cnf(refute_0_1003,plain,
multiply(X,add(Z,Z)) = add(multiply(X,Z),multiply(X,Z)),
inference(subst,[],[distribute1:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_1004,plain,
multiply(add(X,X),Z) = add(multiply(X,Z),multiply(X,Z)),
inference(subst,[],[distribute2:[bind(Y,$fot(X))]]) ).
cnf(refute_0_1005,plain,
( multiply(add(X,X),Z) != add(multiply(X,Z),multiply(X,Z))
| add(multiply(X,Z),multiply(X,Z)) = multiply(add(X,X),Z) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X,X),Z))),bind(Y0,$fot(add(multiply(X,Z),multiply(X,Z))))]]) ).
cnf(refute_0_1006,plain,
add(multiply(X,Z),multiply(X,Z)) = multiply(add(X,X),Z),
inference(resolve,[$cnf( $equal(multiply(add(X,X),Z),add(multiply(X,Z),multiply(X,Z))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
( multiply(X,add(Z,Z)) != add(multiply(X,Z),multiply(X,Z))
| add(multiply(X,Z),multiply(X,Z)) != multiply(add(X,X),Z)
| multiply(X,add(Z,Z)) = multiply(add(X,X),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(Z,Z)),multiply(add(X,X),Z)) ),[0],$fot(add(multiply(X,Z),multiply(X,Z)))]]) ).
cnf(refute_0_1008,plain,
( multiply(X,add(Z,Z)) != add(multiply(X,Z),multiply(X,Z))
| multiply(X,add(Z,Z)) = multiply(add(X,X),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(X,Z)),multiply(add(X,X),Z)) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
multiply(X,add(Z,Z)) = multiply(add(X,X),Z),
inference(resolve,[$cnf( $equal(multiply(X,add(Z,Z)),add(multiply(X,Z),multiply(X,Z))) )],[refute_0_1003,refute_0_1008]) ).
cnf(refute_0_1010,plain,
multiply(c,add(multiply(b,Z),multiply(b,Z))) = multiply(add(c,c),multiply(b,Z)),
inference(subst,[],[refute_0_1009:[bind(X,$fot(c)),bind(Z,$fot(multiply(b,Z)))]]) ).
cnf(refute_0_1011,plain,
( multiply(add(c,c),multiply(b,Z)) != multiply(additive_identity,Z)
| multiply(c,add(multiply(b,Z),multiply(b,Z))) != multiply(add(c,c),multiply(b,Z))
| multiply(c,add(multiply(b,Z),multiply(b,Z))) = multiply(additive_identity,Z) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(b,Z),multiply(b,Z))))),bind(Y0,$fot(multiply(add(c,c),multiply(b,Z)))),bind(Z0,$fot(multiply(additive_identity,Z)))]]) ).
cnf(refute_0_1012,plain,
( multiply(add(c,c),multiply(b,Z)) != multiply(additive_identity,Z)
| multiply(c,add(multiply(b,Z),multiply(b,Z))) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),multiply(b,Z))),multiply(add(c,c),multiply(b,Z))) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
multiply(c,add(multiply(b,Z),multiply(b,Z))) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(add(c,c),multiply(b,Z)),multiply(additive_identity,Z)) )],[refute_0_1002,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( multiply(X_49,add(X_28,X_28)) != multiply(X_49,multiply(add(X_28,X_49),X_28))
| multiply(X_49,multiply(add(X_28,X_49),X_28)) = multiply(X_49,add(X_28,X_28)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_49,add(X_28,X_28)))),bind(Y0,$fot(multiply(X_49,multiply(add(X_28,X_49),X_28))))]]) ).
cnf(refute_0_1015,plain,
multiply(X_49,multiply(add(X_28,X_49),X_28)) = multiply(X_49,add(X_28,X_28)),
inference(resolve,[$cnf( $equal(multiply(X_49,add(X_28,X_28)),multiply(X_49,multiply(add(X_28,X_49),X_28))) )],[refute_0_930,refute_0_1014]) ).
cnf(refute_0_1016,plain,
multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) = multiply(c,add(multiply(b,Z),multiply(b,Z))),
inference(subst,[],[refute_0_1015:[bind(X_28,$fot(multiply(b,Z))),bind(X_49,$fot(c))]]) ).
cnf(refute_0_1017,plain,
( multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) != multiply(c,add(multiply(b,Z),multiply(b,Z)))
| multiply(c,add(multiply(b,Z),multiply(b,Z))) != multiply(additive_identity,Z)
| multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) = multiply(additive_identity,Z) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))))),bind(Y0,$fot(multiply(c,add(multiply(b,Z),multiply(b,Z))))),bind(Z0,$fot(multiply(additive_identity,Z)))]]) ).
cnf(refute_0_1018,plain,
( multiply(c,add(multiply(b,Z),multiply(b,Z))) != multiply(additive_identity,Z)
| multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))),multiply(c,add(multiply(b,Z),multiply(b,Z)))) )],[refute_0_1016,refute_0_1017]) ).
cnf(refute_0_1019,plain,
multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,Z),multiply(b,Z))),multiply(additive_identity,Z)) )],[refute_0_1013,refute_0_1018]) ).
cnf(refute_0_1020,plain,
( multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))) != multiply(additive_identity,Z)
| multiply(c,add(Z,Z)) != multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))
| multiply(c,add(Z,Z)) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(Z,Z)),multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))) ),[1],$fot(multiply(additive_identity,Z))]]) ).
cnf(refute_0_1021,plain,
( multiply(c,add(Z,Z)) != multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))
| multiply(c,add(Z,Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z))),multiply(additive_identity,Z)) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( multiply(c,add(Z,multiply(b,Z))) != multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))
| multiply(c,add(Z,Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(c,add(Z,Z)),multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))) )],[refute_0_938,refute_0_1021]) ).
cnf(refute_0_1023,plain,
multiply(c,add(Z,Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(c,add(Z,multiply(b,Z))),multiply(c,multiply(add(multiply(b,Z),c),multiply(b,Z)))) )],[refute_0_935,refute_0_1022]) ).
cnf(refute_0_1024,plain,
multiply(c,add(a,a)) = multiply(additive_identity,a),
inference(subst,[],[refute_0_1023:[bind(Z,$fot(a))]]) ).
cnf(refute_0_1025,plain,
multiply(c,multiply(add(a,c),a)) = multiply(c,add(a,a)),
inference(subst,[],[refute_0_1015:[bind(X_28,$fot(a)),bind(X_49,$fot(c))]]) ).
cnf(refute_0_1026,plain,
( multiply(c,multiply(add(a,c),a)) != multiply(c,add(a,a))
| multiply(c,add(a,a)) != multiply(additive_identity,a)
| multiply(c,multiply(add(a,c),a)) = multiply(additive_identity,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(a,c),a)))),bind(Y0,$fot(multiply(c,add(a,a)))),bind(Z0,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1027,plain,
( multiply(c,add(a,a)) != multiply(additive_identity,a)
| multiply(c,multiply(add(a,c),a)) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),a)),multiply(c,add(a,a))) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
multiply(c,multiply(add(a,c),a)) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(c,add(a,a)),multiply(additive_identity,a)) )],[refute_0_1024,refute_0_1027]) ).
cnf(refute_0_1029,plain,
( multiply(c,multiply(add(a,c),a)) != multiply(additive_identity,a)
| multiply(c,add(a,additive_inverse(c))) != multiply(c,multiply(add(a,c),a))
| multiply(c,add(a,additive_inverse(c))) = multiply(additive_identity,a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,additive_inverse(c))),multiply(c,multiply(add(a,c),a))) ),[1],$fot(multiply(additive_identity,a))]]) ).
cnf(refute_0_1030,plain,
( multiply(c,add(a,additive_inverse(c))) != multiply(c,multiply(add(a,c),a))
| multiply(c,add(a,additive_inverse(c))) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),a)),multiply(additive_identity,a)) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
( multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))) != multiply(c,multiply(add(a,c),a))
| multiply(c,add(a,additive_inverse(c))) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,additive_inverse(c))),multiply(c,multiply(add(a,c),a))) )],[refute_0_870,refute_0_1030]) ).
cnf(refute_0_1032,plain,
multiply(c,add(a,additive_inverse(c))) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(a,multiply(b,a)),multiply(c,additive_inverse(c)))),multiply(c,multiply(add(a,c),a))) )],[refute_0_846,refute_0_1031]) ).
cnf(refute_0_1033,plain,
( multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(multiply(c,add(a,additive_inverse(c))),Z)
| multiply(c,add(a,additive_inverse(c))) != multiply(additive_identity,a)
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(multiply(additive_identity,a),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(multiply(c,add(a,additive_inverse(c))),Z)) ),[1,0],$fot(multiply(additive_identity,a))]]) ).
cnf(refute_0_1034,plain,
( multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(multiply(c,add(a,additive_inverse(c))),Z)
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(multiply(additive_identity,a),Z) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,additive_inverse(c))),multiply(additive_identity,a)) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(multiply(additive_identity,a),Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(multiply(c,add(a,additive_inverse(c))),Z)) )],[refute_0_82,refute_0_1034]) ).
cnf(refute_0_1036,plain,
multiply(multiply(additive_identity,a),Z) = multiply(additive_identity,multiply(a,Z)),
inference(subst,[],[refute_0_891:[bind(X,$fot(additive_identity)),bind(Y,$fot(a))]]) ).
cnf(refute_0_1037,plain,
( multiply(multiply(additive_identity,a),Z) != multiply(additive_identity,multiply(a,Z))
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(multiply(additive_identity,a),Z)
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(additive_identity,multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(multiply(additive_identity,a),Z)) ),[1],$fot(multiply(additive_identity,multiply(a,Z)))]]) ).
cnf(refute_0_1038,plain,
( multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(multiply(additive_identity,a),Z)
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(additive_identity,multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,a),Z),multiply(additive_identity,multiply(a,Z))) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(additive_identity,multiply(a,Z)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(multiply(additive_identity,a),Z)) )],[refute_0_1035,refute_0_1038]) ).
cnf(refute_0_1040,plain,
multiply(additive_identity,multiply(a,Z)) = multiply(multiply(additive_identity,a),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(additive_identity)),bind(Y,$fot(a))]]) ).
cnf(refute_0_1041,plain,
multiply(c,add(multiply(b,X_34),additive_inverse(multiply(b,X_34)))) = multiply(c,add(X_34,additive_inverse(multiply(b,X_34)))),
inference(subst,[],[refute_0_732:[bind(Z,$fot(X_34)),bind(X_29,$fot(additive_inverse(multiply(b,X_34))))]]) ).
cnf(refute_0_1042,plain,
add(multiply(b,X_34),additive_inverse(multiply(b,X_34))) = additive_identity,
inference(subst,[],[right_additive_inverse:[bind(X,$fot(multiply(b,X_34)))]]) ).
cnf(refute_0_1043,plain,
( multiply(c,add(multiply(b,X_34),additive_inverse(multiply(b,X_34)))) != multiply(c,add(X_34,additive_inverse(multiply(b,X_34))))
| add(multiply(b,X_34),additive_inverse(multiply(b,X_34))) != additive_identity
| multiply(c,additive_identity) = multiply(c,add(X_34,additive_inverse(multiply(b,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,X_34),additive_inverse(multiply(b,X_34)))),multiply(c,add(X_34,additive_inverse(multiply(b,X_34))))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_1044,plain,
( multiply(c,add(multiply(b,X_34),additive_inverse(multiply(b,X_34)))) != multiply(c,add(X_34,additive_inverse(multiply(b,X_34))))
| multiply(c,additive_identity) = multiply(c,add(X_34,additive_inverse(multiply(b,X_34)))) ),
inference(resolve,[$cnf( $equal(add(multiply(b,X_34),additive_inverse(multiply(b,X_34))),additive_identity) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
multiply(c,additive_identity) = multiply(c,add(X_34,additive_inverse(multiply(b,X_34)))),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,X_34),additive_inverse(multiply(b,X_34)))),multiply(c,add(X_34,additive_inverse(multiply(b,X_34))))) )],[refute_0_1041,refute_0_1044]) ).
cnf(refute_0_1046,plain,
multiply(c,add(c,c)) = add(c,multiply(c,c)),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(c)),bind(X_29,$fot(c))]]) ).
cnf(refute_0_1047,plain,
( multiply(c,add(c,c)) != add(c,multiply(c,c))
| add(c,c) != additive_identity
| multiply(c,additive_identity) = add(c,multiply(c,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(c,c)),add(c,multiply(c,c))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_1048,plain,
( multiply(c,add(c,c)) != add(c,multiply(c,c))
| multiply(c,additive_identity) = add(c,multiply(c,c)) ),
inference(resolve,[$cnf( $equal(add(c,c),additive_identity) )],[refute_0_439,refute_0_1047]) ).
cnf(refute_0_1049,plain,
multiply(c,additive_identity) = add(c,multiply(c,c)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,c)),add(c,multiply(c,c))) )],[refute_0_1046,refute_0_1048]) ).
cnf(refute_0_1050,plain,
multiply(c,add(c,c)) = add(c,c),
inference(subst,[],[refute_0_359:[bind(X_31,$fot(c))]]) ).
cnf(refute_0_1051,plain,
( multiply(c,add(c,c)) != add(c,c)
| add(c,c) != additive_identity
| multiply(c,add(c,c)) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(c,c)))),bind(Y0,$fot(add(c,c))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1052,plain,
( add(c,c) != additive_identity
| multiply(c,add(c,c)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(c,add(c,c)),add(c,c)) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
multiply(c,add(c,c)) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,c),additive_identity) )],[refute_0_439,refute_0_1052]) ).
cnf(refute_0_1054,plain,
add(c,multiply(c,c)) = multiply(c,add(c,c)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(c)),bind(X_29,$fot(c))]]) ).
cnf(refute_0_1055,plain,
( multiply(c,add(c,c)) != additive_identity
| add(c,multiply(c,c)) != multiply(c,add(c,c))
| add(c,multiply(c,c)) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(c,c)))),bind(Y0,$fot(multiply(c,add(c,c)))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1056,plain,
( multiply(c,add(c,c)) != additive_identity
| add(c,multiply(c,c)) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,multiply(c,c)),multiply(c,add(c,c))) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
add(c,multiply(c,c)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(c,add(c,c)),additive_identity) )],[refute_0_1053,refute_0_1056]) ).
cnf(refute_0_1058,plain,
( multiply(c,additive_identity) != add(c,multiply(c,c))
| add(c,multiply(c,c)) != additive_identity
| multiply(c,additive_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,additive_identity),additive_identity) ),[0],$fot(add(c,multiply(c,c)))]]) ).
cnf(refute_0_1059,plain,
( multiply(c,additive_identity) != add(c,multiply(c,c))
| multiply(c,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,multiply(c,c)),additive_identity) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
multiply(c,additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(c,additive_identity),add(c,multiply(c,c))) )],[refute_0_1049,refute_0_1059]) ).
cnf(refute_0_1061,plain,
( multiply(c,additive_identity) != multiply(c,add(X_34,additive_inverse(multiply(b,X_34))))
| multiply(c,additive_identity) != additive_identity
| additive_identity = multiply(c,add(X_34,additive_inverse(multiply(b,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,additive_identity),multiply(c,add(X_34,additive_inverse(multiply(b,X_34))))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_1062,plain,
( multiply(c,additive_identity) != multiply(c,add(X_34,additive_inverse(multiply(b,X_34))))
| additive_identity = multiply(c,add(X_34,additive_inverse(multiply(b,X_34)))) ),
inference(resolve,[$cnf( $equal(multiply(c,additive_identity),additive_identity) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
additive_identity = multiply(c,add(X_34,additive_inverse(multiply(b,X_34)))),
inference(resolve,[$cnf( $equal(multiply(c,additive_identity),multiply(c,add(X_34,additive_inverse(multiply(b,X_34))))) )],[refute_0_1045,refute_0_1062]) ).
cnf(refute_0_1064,plain,
additive_identity = multiply(c,add(add(a,a),additive_inverse(multiply(b,add(a,a))))),
inference(subst,[],[refute_0_1063:[bind(X_34,$fot(add(a,a)))]]) ).
cnf(refute_0_1065,plain,
multiply(b,multiply(multiply(c,a),Z)) = multiply(multiply(b,multiply(c,a)),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(b)),bind(Y,$fot(multiply(c,a)))]]) ).
cnf(refute_0_1066,plain,
multiply(b,multiply(a,multiply(b,a))) = multiply(b,a),
inference(subst,[],[refute_0_21:[bind(X_14,$fot(b)),bind(X_15,$fot(a))]]) ).
cnf(refute_0_1067,plain,
multiply(a,multiply(b,a)) = multiply(c,a),
inference(subst,[],[refute_0_27:[bind(X_16,$fot(a))]]) ).
cnf(refute_0_1068,plain,
( multiply(a,multiply(b,a)) != multiply(c,a)
| multiply(b,multiply(a,multiply(b,a))) != multiply(b,a)
| multiply(b,multiply(c,a)) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(a,multiply(b,a))),multiply(b,a)) ),[0,1],$fot(multiply(c,a))]]) ).
cnf(refute_0_1069,plain,
( multiply(b,multiply(a,multiply(b,a))) != multiply(b,a)
| multiply(b,multiply(c,a)) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,a)),multiply(c,a)) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
multiply(b,multiply(c,a)) = multiply(b,a),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,multiply(b,a))),multiply(b,a)) )],[refute_0_1066,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( multiply(b,multiply(multiply(c,a),Z)) != multiply(multiply(b,multiply(c,a)),Z)
| multiply(b,multiply(c,a)) != multiply(b,a)
| multiply(b,multiply(multiply(c,a),Z)) = multiply(multiply(b,a),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(multiply(c,a),Z)),multiply(multiply(b,multiply(c,a)),Z)) ),[1,0],$fot(multiply(b,a))]]) ).
cnf(refute_0_1072,plain,
( multiply(b,multiply(multiply(c,a),Z)) != multiply(multiply(b,multiply(c,a)),Z)
| multiply(b,multiply(multiply(c,a),Z)) = multiply(multiply(b,a),Z) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,a)),multiply(b,a)) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
multiply(b,multiply(multiply(c,a),Z)) = multiply(multiply(b,a),Z),
inference(resolve,[$cnf( $equal(multiply(b,multiply(multiply(c,a),Z)),multiply(multiply(b,multiply(c,a)),Z)) )],[refute_0_1065,refute_0_1072]) ).
cnf(refute_0_1074,plain,
multiply(multiply(c,a),Z) = multiply(c,multiply(a,Z)),
inference(subst,[],[refute_0_891:[bind(X,$fot(c)),bind(Y,$fot(a))]]) ).
cnf(refute_0_1075,plain,
multiply(b,multiply(multiply(c,a),Z)) = multiply(b,multiply(multiply(c,a),Z)),
introduced(tautology,[refl,[$fot(multiply(b,multiply(multiply(c,a),Z)))]]) ).
cnf(refute_0_1076,plain,
( multiply(multiply(c,a),Z) != multiply(c,multiply(a,Z))
| multiply(b,multiply(multiply(c,a),Z)) != multiply(b,multiply(multiply(c,a),Z))
| multiply(b,multiply(multiply(c,a),Z)) = multiply(b,multiply(c,multiply(a,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(multiply(c,a),Z)),multiply(b,multiply(multiply(c,a),Z))) ),[1,1],$fot(multiply(c,multiply(a,Z)))]]) ).
cnf(refute_0_1077,plain,
( multiply(multiply(c,a),Z) != multiply(c,multiply(a,Z))
| multiply(b,multiply(multiply(c,a),Z)) = multiply(b,multiply(c,multiply(a,Z))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(multiply(c,a),Z)),multiply(b,multiply(multiply(c,a),Z))) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
multiply(b,multiply(multiply(c,a),Z)) = multiply(b,multiply(c,multiply(a,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(c,a),Z),multiply(c,multiply(a,Z))) )],[refute_0_1074,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( multiply(b,multiply(multiply(c,a),Z)) != multiply(multiply(b,a),Z)
| multiply(b,multiply(multiply(c,a),Z)) != multiply(b,multiply(c,multiply(a,Z)))
| multiply(b,multiply(c,multiply(a,Z))) = multiply(multiply(b,a),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(multiply(c,a),Z)),multiply(multiply(b,a),Z)) ),[0],$fot(multiply(b,multiply(c,multiply(a,Z))))]]) ).
cnf(refute_0_1080,plain,
( multiply(b,multiply(multiply(c,a),Z)) != multiply(multiply(b,a),Z)
| multiply(b,multiply(c,multiply(a,Z))) = multiply(multiply(b,a),Z) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(multiply(c,a),Z)),multiply(b,multiply(c,multiply(a,Z)))) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
multiply(multiply(b,a),Z) = multiply(b,multiply(a,Z)),
inference(subst,[],[refute_0_891:[bind(X,$fot(b)),bind(Y,$fot(a))]]) ).
cnf(refute_0_1082,plain,
( multiply(multiply(b,a),Z) != multiply(b,multiply(a,Z))
| multiply(b,multiply(c,multiply(a,Z))) != multiply(multiply(b,a),Z)
| multiply(b,multiply(c,multiply(a,Z))) = multiply(b,multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,multiply(a,Z))),multiply(multiply(b,a),Z)) ),[1],$fot(multiply(b,multiply(a,Z)))]]) ).
cnf(refute_0_1083,plain,
( multiply(b,multiply(c,multiply(a,Z))) != multiply(multiply(b,a),Z)
| multiply(b,multiply(c,multiply(a,Z))) = multiply(b,multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(b,a),Z),multiply(b,multiply(a,Z))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( multiply(b,multiply(multiply(c,a),Z)) != multiply(multiply(b,a),Z)
| multiply(b,multiply(c,multiply(a,Z))) = multiply(b,multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,multiply(a,Z))),multiply(multiply(b,a),Z)) )],[refute_0_1080,refute_0_1083]) ).
cnf(refute_0_1085,plain,
multiply(b,multiply(c,multiply(a,Z))) = multiply(b,multiply(a,Z)),
inference(resolve,[$cnf( $equal(multiply(b,multiply(multiply(c,a),Z)),multiply(multiply(b,a),Z)) )],[refute_0_1073,refute_0_1084]) ).
cnf(refute_0_1086,plain,
multiply(b,multiply(c,multiply(a,add(a,a)))) = multiply(b,multiply(a,add(a,a))),
inference(subst,[],[refute_0_1085:[bind(Z,$fot(add(a,a)))]]) ).
cnf(refute_0_1087,plain,
multiply(a,add(a,a)) = add(a,a),
inference(subst,[],[refute_0_359:[bind(X_31,$fot(a))]]) ).
cnf(refute_0_1088,plain,
( multiply(a,add(a,a)) != add(a,a)
| multiply(b,multiply(c,multiply(a,add(a,a)))) != multiply(b,multiply(a,add(a,a)))
| multiply(b,multiply(c,add(a,a))) = multiply(b,multiply(a,add(a,a))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,multiply(a,add(a,a)))),multiply(b,multiply(a,add(a,a)))) ),[0,1,1],$fot(add(a,a))]]) ).
cnf(refute_0_1089,plain,
( multiply(b,multiply(c,multiply(a,add(a,a)))) != multiply(b,multiply(a,add(a,a)))
| multiply(b,multiply(c,add(a,a))) = multiply(b,multiply(a,add(a,a))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(a,a)),add(a,a)) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
multiply(b,multiply(c,add(a,a))) = multiply(b,multiply(a,add(a,a))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,multiply(a,add(a,a)))),multiply(b,multiply(a,add(a,a)))) )],[refute_0_1086,refute_0_1089]) ).
cnf(refute_0_1091,plain,
multiply(b,multiply(c,add(a,a))) = multiply(b,multiply(c,add(a,a))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(c,add(a,a))))]]) ).
cnf(refute_0_1092,plain,
( multiply(b,multiply(c,add(a,a))) != multiply(b,multiply(c,add(a,a)))
| multiply(c,add(a,a)) != multiply(additive_identity,a)
| multiply(b,multiply(c,add(a,a))) = multiply(b,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,a))),multiply(b,multiply(c,add(a,a)))) ),[1,1],$fot(multiply(additive_identity,a))]]) ).
cnf(refute_0_1093,plain,
( multiply(c,add(a,a)) != multiply(additive_identity,a)
| multiply(b,multiply(c,add(a,a))) = multiply(b,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,a))),multiply(b,multiply(c,add(a,a)))) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
multiply(b,multiply(c,add(a,a))) = multiply(b,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(c,add(a,a)),multiply(additive_identity,a)) )],[refute_0_1024,refute_0_1093]) ).
cnf(refute_0_1095,plain,
( multiply(b,multiply(c,add(a,a))) != multiply(b,multiply(a,add(a,a)))
| multiply(b,multiply(c,add(a,a))) != multiply(b,multiply(additive_identity,a))
| multiply(b,multiply(additive_identity,a)) = multiply(b,multiply(a,add(a,a))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,a))),multiply(b,multiply(a,add(a,a)))) ),[0],$fot(multiply(b,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1096,plain,
( multiply(b,multiply(c,add(a,a))) != multiply(b,multiply(a,add(a,a)))
| multiply(b,multiply(additive_identity,a)) = multiply(b,multiply(a,add(a,a))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,a))),multiply(b,multiply(additive_identity,a))) )],[refute_0_1094,refute_0_1095]) ).
cnf(refute_0_1097,plain,
multiply(b,multiply(a,add(a,a))) = multiply(b,multiply(a,add(a,a))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(a,add(a,a))))]]) ).
cnf(refute_0_1098,plain,
( multiply(a,add(a,a)) != add(a,a)
| multiply(b,multiply(a,add(a,a))) != multiply(b,multiply(a,add(a,a)))
| multiply(b,multiply(a,add(a,a))) = multiply(b,add(a,a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(a,add(a,a))),multiply(b,multiply(a,add(a,a)))) ),[1,1],$fot(add(a,a))]]) ).
cnf(refute_0_1099,plain,
( multiply(a,add(a,a)) != add(a,a)
| multiply(b,multiply(a,add(a,a))) = multiply(b,add(a,a)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,add(a,a))),multiply(b,multiply(a,add(a,a)))) )],[refute_0_1097,refute_0_1098]) ).
cnf(refute_0_1100,plain,
multiply(b,multiply(a,add(a,a))) = multiply(b,add(a,a)),
inference(resolve,[$cnf( $equal(multiply(a,add(a,a)),add(a,a)) )],[refute_0_1087,refute_0_1099]) ).
cnf(refute_0_1101,plain,
( multiply(b,multiply(a,add(a,a))) != multiply(b,add(a,a))
| multiply(b,multiply(additive_identity,a)) != multiply(b,multiply(a,add(a,a)))
| multiply(b,multiply(additive_identity,a)) = multiply(b,add(a,a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(additive_identity,a)),multiply(b,multiply(a,add(a,a)))) ),[1],$fot(multiply(b,add(a,a)))]]) ).
cnf(refute_0_1102,plain,
( multiply(b,multiply(additive_identity,a)) != multiply(b,multiply(a,add(a,a)))
| multiply(b,multiply(additive_identity,a)) = multiply(b,add(a,a)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,add(a,a))),multiply(b,add(a,a))) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( multiply(b,multiply(c,add(a,a))) != multiply(b,multiply(a,add(a,a)))
| multiply(b,multiply(additive_identity,a)) = multiply(b,add(a,a)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(additive_identity,a)),multiply(b,multiply(a,add(a,a)))) )],[refute_0_1096,refute_0_1102]) ).
cnf(refute_0_1104,plain,
multiply(b,multiply(additive_identity,a)) = multiply(b,add(a,a)),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,a))),multiply(b,multiply(a,add(a,a)))) )],[refute_0_1090,refute_0_1103]) ).
cnf(refute_0_1105,plain,
( multiply(b,multiply(additive_identity,a)) != multiply(b,add(a,a))
| multiply(b,add(a,a)) = multiply(b,multiply(additive_identity,a)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(b,multiply(additive_identity,a)))),bind(Y0,$fot(multiply(b,add(a,a))))]]) ).
cnf(refute_0_1106,plain,
multiply(b,add(a,a)) = multiply(b,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(b,multiply(additive_identity,a)),multiply(b,add(a,a))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( multiply(b,add(a,a)) != multiply(b,multiply(additive_identity,a))
| additive_identity != multiply(c,add(add(a,a),additive_inverse(multiply(b,add(a,a)))))
| additive_identity = multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(c,add(add(a,a),additive_inverse(multiply(b,add(a,a)))))) ),[1,1,1,0],$fot(multiply(b,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1108,plain,
( additive_identity != multiply(c,add(add(a,a),additive_inverse(multiply(b,add(a,a)))))
| additive_identity = multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))) ),
inference(resolve,[$cnf( $equal(multiply(b,add(a,a)),multiply(b,multiply(additive_identity,a))) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
additive_identity = multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(c,add(add(a,a),additive_inverse(multiply(b,add(a,a)))))) )],[refute_0_1064,refute_0_1108]) ).
cnf(refute_0_1110,plain,
add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))) = add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(a)),bind(Z,$fot(additive_inverse(multiply(b,multiply(additive_identity,a)))))]]) ).
cnf(refute_0_1111,plain,
multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))) = multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))),
introduced(tautology,[refl,[$fot(multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))))]]) ).
cnf(refute_0_1112,plain,
( multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))) != multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))))
| add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))) != add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))
| multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))) = multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))),multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))))) ),[1,1],$fot(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))]]) ).
cnf(refute_0_1113,plain,
( add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))) != add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))
| multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))) = multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))),multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))))) )],[refute_0_1111,refute_0_1112]) ).
cnf(refute_0_1114,plain,
multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))) = multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),
inference(resolve,[$cnf( $equal(add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))),add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) )],[refute_0_1110,refute_0_1113]) ).
cnf(refute_0_1115,plain,
( multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))) != multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| additive_identity != multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))))
| additive_identity = multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))))) ),[1],$fot(multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))]]) ).
cnf(refute_0_1116,plain,
( additive_identity != multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))))
| additive_identity = multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a))))),multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) )],[refute_0_1114,refute_0_1115]) ).
cnf(refute_0_1117,plain,
additive_identity = multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(c,add(add(a,a),additive_inverse(multiply(b,multiply(additive_identity,a)))))) )],[refute_0_1109,refute_0_1116]) ).
cnf(refute_0_1118,plain,
multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) = multiply(multiply(c,multiply(X_21,multiply(b,X_21))),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(c)),bind(Y,$fot(multiply(X_21,multiply(b,X_21))))]]) ).
cnf(refute_0_1119,plain,
multiply(c,X_21) = multiply(c,multiply(X_21,multiply(b,X_21))),
inference(subst,[],[refute_0_49:[bind(X_20,$fot(X_21))]]) ).
cnf(refute_0_1120,plain,
( multiply(c,X_21) != multiply(c,multiply(X_21,multiply(b,X_21)))
| multiply(c,multiply(X_21,multiply(b,X_21))) = multiply(c,X_21) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,X_21))),bind(Y0,$fot(multiply(c,multiply(X_21,multiply(b,X_21)))))]]) ).
cnf(refute_0_1121,plain,
multiply(c,multiply(X_21,multiply(b,X_21))) = multiply(c,X_21),
inference(resolve,[$cnf( $equal(multiply(c,X_21),multiply(c,multiply(X_21,multiply(b,X_21)))) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( multiply(c,multiply(X_21,multiply(b,X_21))) != multiply(c,X_21)
| multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) != multiply(multiply(c,multiply(X_21,multiply(b,X_21))),Z)
| multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) = multiply(multiply(c,X_21),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)),multiply(multiply(c,multiply(X_21,multiply(b,X_21))),Z)) ),[1,0],$fot(multiply(c,X_21))]]) ).
cnf(refute_0_1123,plain,
( multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) != multiply(multiply(c,multiply(X_21,multiply(b,X_21))),Z)
| multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) = multiply(multiply(c,X_21),Z) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(X_21,multiply(b,X_21))),multiply(c,X_21)) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) = multiply(multiply(c,X_21),Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)),multiply(multiply(c,multiply(X_21,multiply(b,X_21))),Z)) )],[refute_0_1118,refute_0_1123]) ).
cnf(refute_0_1125,plain,
multiply(multiply(b,X_21),Z) = multiply(b,multiply(X_21,Z)),
inference(subst,[],[refute_0_891:[bind(X,$fot(b)),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_1126,plain,
multiply(X_21,multiply(multiply(b,X_21),Z)) = multiply(X_21,multiply(multiply(b,X_21),Z)),
introduced(tautology,[refl,[$fot(multiply(X_21,multiply(multiply(b,X_21),Z)))]]) ).
cnf(refute_0_1127,plain,
( multiply(X_21,multiply(multiply(b,X_21),Z)) != multiply(X_21,multiply(multiply(b,X_21),Z))
| multiply(multiply(b,X_21),Z) != multiply(b,multiply(X_21,Z))
| multiply(X_21,multiply(multiply(b,X_21),Z)) = multiply(X_21,multiply(b,multiply(X_21,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,multiply(multiply(b,X_21),Z)),multiply(X_21,multiply(multiply(b,X_21),Z))) ),[1,1],$fot(multiply(b,multiply(X_21,Z)))]]) ).
cnf(refute_0_1128,plain,
( multiply(multiply(b,X_21),Z) != multiply(b,multiply(X_21,Z))
| multiply(X_21,multiply(multiply(b,X_21),Z)) = multiply(X_21,multiply(b,multiply(X_21,Z))) ),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(multiply(b,X_21),Z)),multiply(X_21,multiply(multiply(b,X_21),Z))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
multiply(X_21,multiply(multiply(b,X_21),Z)) = multiply(X_21,multiply(b,multiply(X_21,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(b,X_21),Z),multiply(b,multiply(X_21,Z))) )],[refute_0_1125,refute_0_1128]) ).
cnf(refute_0_1130,plain,
multiply(multiply(X_21,multiply(b,X_21)),Z) = multiply(X_21,multiply(multiply(b,X_21),Z)),
inference(subst,[],[refute_0_891:[bind(X,$fot(X_21)),bind(Y,$fot(multiply(b,X_21)))]]) ).
cnf(refute_0_1131,plain,
( multiply(X_21,multiply(multiply(b,X_21),Z)) != multiply(X_21,multiply(b,multiply(X_21,Z)))
| multiply(multiply(X_21,multiply(b,X_21)),Z) != multiply(X_21,multiply(multiply(b,X_21),Z))
| multiply(multiply(X_21,multiply(b,X_21)),Z) = multiply(X_21,multiply(b,multiply(X_21,Z))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_21,multiply(b,X_21)),Z))),bind(Y0,$fot(multiply(X_21,multiply(multiply(b,X_21),Z)))),bind(Z0,$fot(multiply(X_21,multiply(b,multiply(X_21,Z)))))]]) ).
cnf(refute_0_1132,plain,
( multiply(X_21,multiply(multiply(b,X_21),Z)) != multiply(X_21,multiply(b,multiply(X_21,Z)))
| multiply(multiply(X_21,multiply(b,X_21)),Z) = multiply(X_21,multiply(b,multiply(X_21,Z))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,multiply(b,X_21)),Z),multiply(X_21,multiply(multiply(b,X_21),Z))) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
multiply(multiply(X_21,multiply(b,X_21)),Z) = multiply(X_21,multiply(b,multiply(X_21,Z))),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(multiply(b,X_21),Z)),multiply(X_21,multiply(b,multiply(X_21,Z)))) )],[refute_0_1129,refute_0_1132]) ).
cnf(refute_0_1134,plain,
multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) = multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)),
introduced(tautology,[refl,[$fot(multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)))]]) ).
cnf(refute_0_1135,plain,
( multiply(multiply(X_21,multiply(b,X_21)),Z) != multiply(X_21,multiply(b,multiply(X_21,Z)))
| multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) != multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z))
| multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) = multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)),multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z))) ),[1,1],$fot(multiply(X_21,multiply(b,multiply(X_21,Z))))]]) ).
cnf(refute_0_1136,plain,
( multiply(multiply(X_21,multiply(b,X_21)),Z) != multiply(X_21,multiply(b,multiply(X_21,Z)))
| multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) = multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)),multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z))) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) = multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,multiply(b,X_21)),Z),multiply(X_21,multiply(b,multiply(X_21,Z)))) )],[refute_0_1133,refute_0_1136]) ).
cnf(refute_0_1138,plain,
( multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) != multiply(multiply(c,X_21),Z)
| multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) != multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z))))
| multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) = multiply(multiply(c,X_21),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)),multiply(multiply(c,X_21),Z)) ),[0],$fot(multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))))]]) ).
cnf(refute_0_1139,plain,
( multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) != multiply(multiply(c,X_21),Z)
| multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) = multiply(multiply(c,X_21),Z) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)),multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z))))) )],[refute_0_1137,refute_0_1138]) ).
cnf(refute_0_1140,plain,
multiply(multiply(c,X_21),Z) = multiply(c,multiply(X_21,Z)),
inference(subst,[],[refute_0_891:[bind(X,$fot(c)),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_1141,plain,
( multiply(multiply(c,X_21),Z) != multiply(c,multiply(X_21,Z))
| multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) != multiply(multiply(c,X_21),Z)
| multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) = multiply(c,multiply(X_21,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))),multiply(multiply(c,X_21),Z)) ),[1],$fot(multiply(c,multiply(X_21,Z)))]]) ).
cnf(refute_0_1142,plain,
( multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) != multiply(multiply(c,X_21),Z)
| multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) = multiply(c,multiply(X_21,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(c,X_21),Z),multiply(c,multiply(X_21,Z))) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
( multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)) != multiply(multiply(c,X_21),Z)
| multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) = multiply(c,multiply(X_21,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))),multiply(multiply(c,X_21),Z)) )],[refute_0_1139,refute_0_1142]) ).
cnf(refute_0_1144,plain,
multiply(c,multiply(X_21,multiply(b,multiply(X_21,Z)))) = multiply(c,multiply(X_21,Z)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(multiply(X_21,multiply(b,X_21)),Z)),multiply(multiply(c,X_21),Z)) )],[refute_0_1124,refute_0_1143]) ).
cnf(refute_0_1145,plain,
multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,multiply(add(a,c),add(a,add(c,additive_inverse(b))))),
inference(subst,[],[refute_0_1144:[bind(Z,$fot(add(a,add(c,additive_inverse(b))))),bind(X_21,$fot(add(a,c)))]]) ).
cnf(refute_0_1146,plain,
multiply(add(a,c),add(additive_inverse(b),add(a,c))) = add(add(a,c),multiply(add(a,c),additive_inverse(b))),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(additive_inverse(b))),bind(X_29,$fot(add(a,c)))]]) ).
cnf(refute_0_1147,plain,
multiply(a,add(c,multiply(b,additive_inverse(b)))) = add(multiply(a,c),multiply(c,additive_inverse(b))),
inference(subst,[],[refute_0_61:[bind(X_16,$fot(additive_inverse(b))),bind(X_28,$fot(c))]]) ).
cnf(refute_0_1148,plain,
multiply(add(X_49,a),additive_inverse(b)) = add(multiply(X_49,additive_inverse(b)),multiply(a,additive_inverse(b))),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(a)),bind(Z,$fot(additive_inverse(b)))]]) ).
cnf(refute_0_1149,plain,
c = add(multiply(a,additive_inverse(b)),add(c,additive_inverse(multiply(a,additive_inverse(b))))),
inference(subst,[],[refute_0_142:[bind(X_10,$fot(multiply(a,additive_inverse(b)))),bind(X_9,$fot(c))]]) ).
cnf(refute_0_1150,plain,
add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,add(b,additive_inverse(b))))) = additive_identity,
inference(subst,[],[refute_0_517:[bind(X_40,$fot(additive_inverse(b)))]]) ).
cnf(refute_0_1151,plain,
add(b,additive_inverse(b)) = additive_identity,
inference(subst,[],[right_additive_inverse:[bind(X,$fot(b))]]) ).
cnf(refute_0_1152,plain,
( add(b,additive_inverse(b)) != additive_identity
| add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,add(b,additive_inverse(b))))) != additive_identity
| add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,add(b,additive_inverse(b))))),additive_identity) ),[0,1,1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1153,plain,
( add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,add(b,additive_inverse(b))))) != additive_identity
| add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(b,additive_inverse(b)),additive_identity) )],[refute_0_1151,refute_0_1152]) ).
cnf(refute_0_1154,plain,
add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,add(b,additive_inverse(b))))),additive_identity) )],[refute_0_1150,refute_0_1153]) ).
cnf(refute_0_1155,plain,
add(additive_identity,additive_inverse(multiply(a,additive_inverse(b)))) = additive_inverse(multiply(a,additive_inverse(b))),
inference(subst,[],[left_additive_identity:[bind(X,$fot(additive_inverse(multiply(a,additive_inverse(b)))))]]) ).
cnf(refute_0_1156,plain,
add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) = add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))),
introduced(tautology,[refl,[$fot(add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))))]]) ).
cnf(refute_0_1157,plain,
( multiply(a,additive_identity) != additive_identity
| add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) != add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))
| add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) = add(additive_identity,additive_inverse(multiply(a,additive_inverse(b)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))),add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1158,plain,
( multiply(a,additive_identity) != additive_identity
| add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) = add(additive_identity,additive_inverse(multiply(a,additive_inverse(b)))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))),add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) = add(additive_identity,additive_inverse(multiply(a,additive_inverse(b)))),
inference(resolve,[$cnf( $equal(multiply(a,additive_identity),additive_identity) )],[refute_0_553,refute_0_1158]) ).
cnf(refute_0_1160,plain,
( add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) != add(additive_identity,additive_inverse(multiply(a,additive_inverse(b))))
| add(additive_identity,additive_inverse(multiply(a,additive_inverse(b)))) != additive_inverse(multiply(a,additive_inverse(b)))
| add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) = additive_inverse(multiply(a,additive_inverse(b))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))))),bind(Y0,$fot(add(additive_identity,additive_inverse(multiply(a,additive_inverse(b)))))),bind(Z0,$fot(additive_inverse(multiply(a,additive_inverse(b)))))]]) ).
cnf(refute_0_1161,plain,
( add(additive_identity,additive_inverse(multiply(a,additive_inverse(b)))) != additive_inverse(multiply(a,additive_inverse(b)))
| add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) = additive_inverse(multiply(a,additive_inverse(b))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))),add(additive_identity,additive_inverse(multiply(a,additive_inverse(b))))) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) = additive_inverse(multiply(a,additive_inverse(b))),
inference(resolve,[$cnf( $equal(add(additive_identity,additive_inverse(multiply(a,additive_inverse(b)))),additive_inverse(multiply(a,additive_inverse(b)))) )],[refute_0_1155,refute_0_1161]) ).
cnf(refute_0_1163,plain,
add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) = add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))),
introduced(tautology,[refl,[$fot(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))))]]) ).
cnf(refute_0_1164,plain,
( add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) != additive_inverse(multiply(a,additive_inverse(b)))
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) != add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))))
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) = add(c,additive_inverse(multiply(a,additive_inverse(b)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))),add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))))) ),[1,1],$fot(additive_inverse(multiply(a,additive_inverse(b))))]]) ).
cnf(refute_0_1165,plain,
( add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))) != additive_inverse(multiply(a,additive_inverse(b)))
| add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) = add(c,additive_inverse(multiply(a,additive_inverse(b)))) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))),add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))))) )],[refute_0_1163,refute_0_1164]) ).
cnf(refute_0_1166,plain,
add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) = add(c,additive_inverse(multiply(a,additive_inverse(b)))),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))),additive_inverse(multiply(a,additive_inverse(b)))) )],[refute_0_1162,refute_0_1165]) ).
cnf(refute_0_1167,plain,
add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) = add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(c)),bind(X_7,$fot(additive_inverse(multiply(a,additive_inverse(b))))),bind(X_8,$fot(multiply(a,additive_identity)))]]) ).
cnf(refute_0_1168,plain,
( add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) != add(c,additive_inverse(multiply(a,additive_inverse(b))))
| add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) != add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))))
| add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) = add(c,additive_inverse(multiply(a,additive_inverse(b)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))))),bind(Y0,$fot(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))))),bind(Z0,$fot(add(c,additive_inverse(multiply(a,additive_inverse(b))))))]]) ).
cnf(refute_0_1169,plain,
( add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))) != add(c,additive_inverse(multiply(a,additive_inverse(b))))
| add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) = add(c,additive_inverse(multiply(a,additive_inverse(b)))) ),
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))),add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b)))))) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) = add(c,additive_inverse(multiply(a,additive_inverse(b)))),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,additive_identity),additive_inverse(multiply(a,additive_inverse(b))))),add(c,additive_inverse(multiply(a,additive_inverse(b))))) )],[refute_0_1166,refute_0_1169]) ).
cnf(refute_0_1171,plain,
( add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) != add(c,additive_inverse(multiply(a,additive_inverse(b))))
| add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) != additive_identity
| add(c,additive_inverse(multiply(a,additive_inverse(b)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))),additive_identity) ),[0],$fot(add(c,additive_inverse(multiply(a,additive_inverse(b)))))]]) ).
cnf(refute_0_1172,plain,
( add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))) != additive_identity
| add(c,additive_inverse(multiply(a,additive_inverse(b)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))),add(c,additive_inverse(multiply(a,additive_inverse(b))))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
add(c,additive_inverse(multiply(a,additive_inverse(b)))) = additive_identity,
inference(resolve,[$cnf( $equal(add(c,add(additive_inverse(multiply(a,additive_inverse(b))),multiply(a,additive_identity))),additive_identity) )],[refute_0_1154,refute_0_1172]) ).
cnf(refute_0_1174,plain,
( add(c,additive_inverse(multiply(a,additive_inverse(b)))) != additive_identity
| c != add(multiply(a,additive_inverse(b)),add(c,additive_inverse(multiply(a,additive_inverse(b)))))
| c = add(multiply(a,additive_inverse(b)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(c,add(multiply(a,additive_inverse(b)),add(c,additive_inverse(multiply(a,additive_inverse(b)))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1175,plain,
( c != add(multiply(a,additive_inverse(b)),add(c,additive_inverse(multiply(a,additive_inverse(b)))))
| c = add(multiply(a,additive_inverse(b)),additive_identity) ),
inference(resolve,[$cnf( $equal(add(c,additive_inverse(multiply(a,additive_inverse(b)))),additive_identity) )],[refute_0_1173,refute_0_1174]) ).
cnf(refute_0_1176,plain,
c = add(multiply(a,additive_inverse(b)),additive_identity),
inference(resolve,[$cnf( $equal(c,add(multiply(a,additive_inverse(b)),add(c,additive_inverse(multiply(a,additive_inverse(b)))))) )],[refute_0_1149,refute_0_1175]) ).
cnf(refute_0_1177,plain,
add(additive_identity,multiply(a,additive_inverse(b))) = multiply(a,additive_inverse(b)),
inference(subst,[],[left_additive_identity:[bind(X,$fot(multiply(a,additive_inverse(b))))]]) ).
cnf(refute_0_1178,plain,
add(multiply(a,additive_inverse(b)),additive_identity) = add(additive_identity,multiply(a,additive_inverse(b))),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(multiply(a,additive_inverse(b))))]]) ).
cnf(refute_0_1179,plain,
( add(multiply(a,additive_inverse(b)),additive_identity) != add(additive_identity,multiply(a,additive_inverse(b)))
| add(additive_identity,multiply(a,additive_inverse(b))) != multiply(a,additive_inverse(b))
| add(multiply(a,additive_inverse(b)),additive_identity) = multiply(a,additive_inverse(b)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,additive_inverse(b)),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(a,additive_inverse(b))))),bind(Z0,$fot(multiply(a,additive_inverse(b))))]]) ).
cnf(refute_0_1180,plain,
( add(additive_identity,multiply(a,additive_inverse(b))) != multiply(a,additive_inverse(b))
| add(multiply(a,additive_inverse(b)),additive_identity) = multiply(a,additive_inverse(b)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_inverse(b)),additive_identity),add(additive_identity,multiply(a,additive_inverse(b)))) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
add(multiply(a,additive_inverse(b)),additive_identity) = multiply(a,additive_inverse(b)),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(a,additive_inverse(b))),multiply(a,additive_inverse(b))) )],[refute_0_1177,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( add(multiply(a,additive_inverse(b)),additive_identity) != multiply(a,additive_inverse(b))
| c != add(multiply(a,additive_inverse(b)),additive_identity)
| c = multiply(a,additive_inverse(b)) ),
introduced(tautology,[equality,[$cnf( $equal(c,add(multiply(a,additive_inverse(b)),additive_identity)) ),[1],$fot(multiply(a,additive_inverse(b)))]]) ).
cnf(refute_0_1183,plain,
( c != add(multiply(a,additive_inverse(b)),additive_identity)
| c = multiply(a,additive_inverse(b)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,additive_inverse(b)),additive_identity),multiply(a,additive_inverse(b))) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
c = multiply(a,additive_inverse(b)),
inference(resolve,[$cnf( $equal(c,add(multiply(a,additive_inverse(b)),additive_identity)) )],[refute_0_1176,refute_0_1183]) ).
cnf(refute_0_1185,plain,
( c != multiply(a,additive_inverse(b))
| multiply(a,additive_inverse(b)) = c ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(c)),bind(Y0,$fot(multiply(a,additive_inverse(b))))]]) ).
cnf(refute_0_1186,plain,
multiply(a,additive_inverse(b)) = c,
inference(resolve,[$cnf( $equal(c,multiply(a,additive_inverse(b))) )],[refute_0_1184,refute_0_1185]) ).
cnf(refute_0_1187,plain,
( multiply(add(X_49,a),additive_inverse(b)) != add(multiply(X_49,additive_inverse(b)),multiply(a,additive_inverse(b)))
| multiply(a,additive_inverse(b)) != c
| multiply(add(X_49,a),additive_inverse(b)) = add(multiply(X_49,additive_inverse(b)),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,a),additive_inverse(b)),add(multiply(X_49,additive_inverse(b)),multiply(a,additive_inverse(b)))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_1188,plain,
( multiply(add(X_49,a),additive_inverse(b)) != add(multiply(X_49,additive_inverse(b)),multiply(a,additive_inverse(b)))
| multiply(add(X_49,a),additive_inverse(b)) = add(multiply(X_49,additive_inverse(b)),c) ),
inference(resolve,[$cnf( $equal(multiply(a,additive_inverse(b)),c) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
multiply(add(X_49,a),additive_inverse(b)) = add(multiply(X_49,additive_inverse(b)),c),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),additive_inverse(b)),add(multiply(X_49,additive_inverse(b)),multiply(a,additive_inverse(b)))) )],[refute_0_1148,refute_0_1188]) ).
cnf(refute_0_1190,plain,
add(multiply(X_49,additive_inverse(b)),c) = add(c,multiply(X_49,additive_inverse(b))),
inference(subst,[],[refute_0_9:[bind(X,$fot(c)),bind(Y,$fot(multiply(X_49,additive_inverse(b))))]]) ).
cnf(refute_0_1191,plain,
( multiply(add(X_49,a),additive_inverse(b)) != add(multiply(X_49,additive_inverse(b)),c)
| add(multiply(X_49,additive_inverse(b)),c) != add(c,multiply(X_49,additive_inverse(b)))
| multiply(add(X_49,a),additive_inverse(b)) = add(c,multiply(X_49,additive_inverse(b))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,a),additive_inverse(b)),add(c,multiply(X_49,additive_inverse(b)))) ),[0],$fot(add(multiply(X_49,additive_inverse(b)),c))]]) ).
cnf(refute_0_1192,plain,
( multiply(add(X_49,a),additive_inverse(b)) != add(multiply(X_49,additive_inverse(b)),c)
| multiply(add(X_49,a),additive_inverse(b)) = add(c,multiply(X_49,additive_inverse(b))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,additive_inverse(b)),c),add(c,multiply(X_49,additive_inverse(b)))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
multiply(add(X_49,a),additive_inverse(b)) = add(c,multiply(X_49,additive_inverse(b))),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),additive_inverse(b)),add(multiply(X_49,additive_inverse(b)),c)) )],[refute_0_1189,refute_0_1192]) ).
cnf(refute_0_1194,plain,
multiply(add(b,a),additive_inverse(b)) = add(c,multiply(b,additive_inverse(b))),
inference(subst,[],[refute_0_1193:[bind(X_49,$fot(b))]]) ).
cnf(refute_0_1195,plain,
( multiply(add(b,a),additive_inverse(b)) != add(c,multiply(b,additive_inverse(b)))
| add(c,multiply(b,additive_inverse(b))) = multiply(add(b,a),additive_inverse(b)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(b,a),additive_inverse(b)))),bind(Y0,$fot(add(c,multiply(b,additive_inverse(b)))))]]) ).
cnf(refute_0_1196,plain,
add(c,multiply(b,additive_inverse(b))) = multiply(add(b,a),additive_inverse(b)),
inference(resolve,[$cnf( $equal(multiply(add(b,a),additive_inverse(b)),add(c,multiply(b,additive_inverse(b)))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
( multiply(a,add(c,multiply(b,additive_inverse(b)))) != add(multiply(a,c),multiply(c,additive_inverse(b)))
| add(c,multiply(b,additive_inverse(b))) != multiply(add(b,a),additive_inverse(b))
| multiply(a,multiply(add(b,a),additive_inverse(b))) = add(multiply(a,c),multiply(c,additive_inverse(b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(c,multiply(b,additive_inverse(b)))),add(multiply(a,c),multiply(c,additive_inverse(b)))) ),[0,1],$fot(multiply(add(b,a),additive_inverse(b)))]]) ).
cnf(refute_0_1198,plain,
( multiply(a,add(c,multiply(b,additive_inverse(b)))) != add(multiply(a,c),multiply(c,additive_inverse(b)))
| multiply(a,multiply(add(b,a),additive_inverse(b))) = add(multiply(a,c),multiply(c,additive_inverse(b))) ),
inference(resolve,[$cnf( $equal(add(c,multiply(b,additive_inverse(b))),multiply(add(b,a),additive_inverse(b))) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
multiply(a,multiply(add(b,a),additive_inverse(b))) = add(multiply(a,c),multiply(c,additive_inverse(b))),
inference(resolve,[$cnf( $equal(multiply(a,add(c,multiply(b,additive_inverse(b)))),add(multiply(a,c),multiply(c,additive_inverse(b)))) )],[refute_0_1147,refute_0_1198]) ).
cnf(refute_0_1200,plain,
multiply(a,multiply(add(a,b),additive_inverse(b))) = multiply(add(a,c),additive_inverse(b)),
inference(subst,[],[refute_0_616:[bind(Z,$fot(additive_inverse(b)))]]) ).
cnf(refute_0_1201,plain,
multiply(add(b,a),additive_inverse(b)) = multiply(add(a,b),additive_inverse(b)),
inference(subst,[],[refute_0_630:[bind(X_49,$fot(b)),bind(X_50,$fot(a)),bind(X_51,$fot(additive_inverse(b)))]]) ).
cnf(refute_0_1202,plain,
multiply(a,multiply(add(b,a),additive_inverse(b))) = multiply(a,multiply(add(b,a),additive_inverse(b))),
introduced(tautology,[refl,[$fot(multiply(a,multiply(add(b,a),additive_inverse(b))))]]) ).
cnf(refute_0_1203,plain,
( multiply(add(b,a),additive_inverse(b)) != multiply(add(a,b),additive_inverse(b))
| multiply(a,multiply(add(b,a),additive_inverse(b))) != multiply(a,multiply(add(b,a),additive_inverse(b)))
| multiply(a,multiply(add(b,a),additive_inverse(b))) = multiply(a,multiply(add(a,b),additive_inverse(b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(b))),multiply(a,multiply(add(b,a),additive_inverse(b)))) ),[1,1],$fot(multiply(add(a,b),additive_inverse(b)))]]) ).
cnf(refute_0_1204,plain,
( multiply(add(b,a),additive_inverse(b)) != multiply(add(a,b),additive_inverse(b))
| multiply(a,multiply(add(b,a),additive_inverse(b))) = multiply(a,multiply(add(a,b),additive_inverse(b))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(b))),multiply(a,multiply(add(b,a),additive_inverse(b)))) )],[refute_0_1202,refute_0_1203]) ).
cnf(refute_0_1205,plain,
multiply(a,multiply(add(b,a),additive_inverse(b))) = multiply(a,multiply(add(a,b),additive_inverse(b))),
inference(resolve,[$cnf( $equal(multiply(add(b,a),additive_inverse(b)),multiply(add(a,b),additive_inverse(b))) )],[refute_0_1201,refute_0_1204]) ).
cnf(refute_0_1206,plain,
( multiply(a,multiply(add(a,b),additive_inverse(b))) != multiply(add(a,c),additive_inverse(b))
| multiply(a,multiply(add(b,a),additive_inverse(b))) != multiply(a,multiply(add(a,b),additive_inverse(b)))
| multiply(a,multiply(add(b,a),additive_inverse(b))) = multiply(add(a,c),additive_inverse(b)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,multiply(add(b,a),additive_inverse(b))))),bind(Y0,$fot(multiply(a,multiply(add(a,b),additive_inverse(b))))),bind(Z0,$fot(multiply(add(a,c),additive_inverse(b))))]]) ).
cnf(refute_0_1207,plain,
( multiply(a,multiply(add(a,b),additive_inverse(b))) != multiply(add(a,c),additive_inverse(b))
| multiply(a,multiply(add(b,a),additive_inverse(b))) = multiply(add(a,c),additive_inverse(b)) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(b))),multiply(a,multiply(add(a,b),additive_inverse(b)))) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
multiply(a,multiply(add(b,a),additive_inverse(b))) = multiply(add(a,c),additive_inverse(b)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(a,b),additive_inverse(b))),multiply(add(a,c),additive_inverse(b))) )],[refute_0_1200,refute_0_1207]) ).
cnf(refute_0_1209,plain,
( multiply(a,multiply(add(b,a),additive_inverse(b))) != multiply(add(a,c),additive_inverse(b))
| multiply(a,multiply(add(b,a),additive_inverse(b))) != add(multiply(a,c),multiply(c,additive_inverse(b)))
| multiply(add(a,c),additive_inverse(b)) = add(multiply(a,c),multiply(c,additive_inverse(b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(b))),add(multiply(a,c),multiply(c,additive_inverse(b)))) ),[0],$fot(multiply(add(a,c),additive_inverse(b)))]]) ).
cnf(refute_0_1210,plain,
( multiply(a,multiply(add(b,a),additive_inverse(b))) != add(multiply(a,c),multiply(c,additive_inverse(b)))
| multiply(add(a,c),additive_inverse(b)) = add(multiply(a,c),multiply(c,additive_inverse(b))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(b))),multiply(add(a,c),additive_inverse(b))) )],[refute_0_1208,refute_0_1209]) ).
cnf(refute_0_1211,plain,
multiply(a,multiply(b,additive_identity)) = multiply(c,additive_identity),
inference(subst,[],[refute_0_27:[bind(X_16,$fot(additive_identity))]]) ).
cnf(refute_0_1212,plain,
( multiply(a,multiply(b,additive_identity)) != multiply(c,additive_identity)
| multiply(c,additive_identity) != additive_identity
| multiply(a,multiply(b,additive_identity)) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,multiply(b,additive_identity)))),bind(Y0,$fot(multiply(c,additive_identity))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1213,plain,
( multiply(c,additive_identity) != additive_identity
| multiply(a,multiply(b,additive_identity)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,additive_identity)),multiply(c,additive_identity)) )],[refute_0_1211,refute_0_1212]) ).
cnf(refute_0_1214,plain,
multiply(a,multiply(b,additive_identity)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(c,additive_identity),additive_identity) )],[refute_0_1060,refute_0_1213]) ).
cnf(refute_0_1215,plain,
multiply(b,add(b,additive_inverse(b))) = multiply(b,add(b,additive_inverse(b))),
introduced(tautology,[refl,[$fot(multiply(b,add(b,additive_inverse(b))))]]) ).
cnf(refute_0_1216,plain,
( multiply(b,add(b,additive_inverse(b))) != multiply(b,add(b,additive_inverse(b)))
| add(b,additive_inverse(b)) != additive_identity
| multiply(b,add(b,additive_inverse(b))) = multiply(b,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(b,additive_inverse(b))),multiply(b,add(b,additive_inverse(b)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1217,plain,
( add(b,additive_inverse(b)) != additive_identity
| multiply(b,add(b,additive_inverse(b))) = multiply(b,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(b,add(b,additive_inverse(b))),multiply(b,add(b,additive_inverse(b)))) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
multiply(b,add(b,additive_inverse(b))) = multiply(b,additive_identity),
inference(resolve,[$cnf( $equal(add(b,additive_inverse(b)),additive_identity) )],[refute_0_1151,refute_0_1217]) ).
cnf(refute_0_1219,plain,
multiply(b,add(additive_inverse(b),b)) = multiply(b,add(b,additive_inverse(b))),
inference(subst,[],[refute_0_654:[bind(X_31,$fot(additive_inverse(b))),bind(X_32,$fot(b))]]) ).
cnf(refute_0_1220,plain,
add(b,multiply(b,additive_inverse(b))) = multiply(b,add(additive_inverse(b),b)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(additive_inverse(b))),bind(X_29,$fot(b))]]) ).
cnf(refute_0_1221,plain,
( multiply(b,add(additive_inverse(b),b)) != multiply(b,add(b,additive_inverse(b)))
| add(b,multiply(b,additive_inverse(b))) != multiply(b,add(additive_inverse(b),b))
| add(b,multiply(b,additive_inverse(b))) = multiply(b,add(b,additive_inverse(b))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(b,multiply(b,additive_inverse(b))))),bind(Y0,$fot(multiply(b,add(additive_inverse(b),b)))),bind(Z0,$fot(multiply(b,add(b,additive_inverse(b)))))]]) ).
cnf(refute_0_1222,plain,
( multiply(b,add(additive_inverse(b),b)) != multiply(b,add(b,additive_inverse(b)))
| add(b,multiply(b,additive_inverse(b))) = multiply(b,add(b,additive_inverse(b))) ),
inference(resolve,[$cnf( $equal(add(b,multiply(b,additive_inverse(b))),multiply(b,add(additive_inverse(b),b))) )],[refute_0_1220,refute_0_1221]) ).
cnf(refute_0_1223,plain,
add(b,multiply(b,additive_inverse(b))) = multiply(b,add(b,additive_inverse(b))),
inference(resolve,[$cnf( $equal(multiply(b,add(additive_inverse(b),b)),multiply(b,add(b,additive_inverse(b)))) )],[refute_0_1219,refute_0_1222]) ).
cnf(refute_0_1224,plain,
( multiply(b,add(b,additive_inverse(b))) != multiply(b,additive_identity)
| add(b,multiply(b,additive_inverse(b))) != multiply(b,add(b,additive_inverse(b)))
| add(b,multiply(b,additive_inverse(b))) = multiply(b,additive_identity) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(b,multiply(b,additive_inverse(b))))),bind(Y0,$fot(multiply(b,add(b,additive_inverse(b))))),bind(Z0,$fot(multiply(b,additive_identity)))]]) ).
cnf(refute_0_1225,plain,
( multiply(b,add(b,additive_inverse(b))) != multiply(b,additive_identity)
| add(b,multiply(b,additive_inverse(b))) = multiply(b,additive_identity) ),
inference(resolve,[$cnf( $equal(add(b,multiply(b,additive_inverse(b))),multiply(b,add(b,additive_inverse(b)))) )],[refute_0_1223,refute_0_1224]) ).
cnf(refute_0_1226,plain,
add(b,multiply(b,additive_inverse(b))) = multiply(b,additive_identity),
inference(resolve,[$cnf( $equal(multiply(b,add(b,additive_inverse(b))),multiply(b,additive_identity)) )],[refute_0_1218,refute_0_1225]) ).
cnf(refute_0_1227,plain,
multiply(a,add(b,multiply(b,additive_inverse(b)))) = multiply(a,add(b,multiply(b,additive_inverse(b)))),
introduced(tautology,[refl,[$fot(multiply(a,add(b,multiply(b,additive_inverse(b)))))]]) ).
cnf(refute_0_1228,plain,
( multiply(a,add(b,multiply(b,additive_inverse(b)))) != multiply(a,add(b,multiply(b,additive_inverse(b))))
| add(b,multiply(b,additive_inverse(b))) != multiply(b,additive_identity)
| multiply(a,add(b,multiply(b,additive_inverse(b)))) = multiply(a,multiply(b,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(b,multiply(b,additive_inverse(b)))),multiply(a,add(b,multiply(b,additive_inverse(b))))) ),[1,1],$fot(multiply(b,additive_identity))]]) ).
cnf(refute_0_1229,plain,
( add(b,multiply(b,additive_inverse(b))) != multiply(b,additive_identity)
| multiply(a,add(b,multiply(b,additive_inverse(b)))) = multiply(a,multiply(b,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(b,additive_inverse(b)))),multiply(a,add(b,multiply(b,additive_inverse(b))))) )],[refute_0_1227,refute_0_1228]) ).
cnf(refute_0_1230,plain,
multiply(a,add(b,multiply(b,additive_inverse(b)))) = multiply(a,multiply(b,additive_identity)),
inference(resolve,[$cnf( $equal(add(b,multiply(b,additive_inverse(b))),multiply(b,additive_identity)) )],[refute_0_1226,refute_0_1229]) ).
cnf(refute_0_1231,plain,
( multiply(a,multiply(b,additive_identity)) != additive_identity
| multiply(a,add(b,multiply(b,additive_inverse(b)))) != multiply(a,multiply(b,additive_identity))
| multiply(a,add(b,multiply(b,additive_inverse(b)))) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(b,multiply(b,additive_inverse(b)))))),bind(Y0,$fot(multiply(a,multiply(b,additive_identity)))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1232,plain,
( multiply(a,multiply(b,additive_identity)) != additive_identity
| multiply(a,add(b,multiply(b,additive_inverse(b)))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(b,additive_inverse(b)))),multiply(a,multiply(b,additive_identity))) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
multiply(a,add(b,multiply(b,additive_inverse(b)))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,additive_identity)),additive_identity) )],[refute_0_1214,refute_0_1232]) ).
cnf(refute_0_1234,plain,
multiply(a,add(c,multiply(b,additive_inverse(b)))) = multiply(a,add(b,multiply(b,additive_inverse(b)))),
inference(subst,[],[refute_0_506:[bind(X_40,$fot(multiply(b,additive_inverse(b))))]]) ).
cnf(refute_0_1235,plain,
add(multiply(a,c),multiply(c,additive_inverse(b))) = multiply(a,add(c,multiply(b,additive_inverse(b)))),
inference(subst,[],[refute_0_669:[bind(X_16,$fot(additive_inverse(b))),bind(X_28,$fot(c))]]) ).
cnf(refute_0_1236,plain,
( multiply(a,add(c,multiply(b,additive_inverse(b)))) != multiply(a,add(b,multiply(b,additive_inverse(b))))
| add(multiply(a,c),multiply(c,additive_inverse(b))) != multiply(a,add(c,multiply(b,additive_inverse(b))))
| add(multiply(a,c),multiply(c,additive_inverse(b))) = multiply(a,add(b,multiply(b,additive_inverse(b)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,c),multiply(c,additive_inverse(b))))),bind(Y0,$fot(multiply(a,add(c,multiply(b,additive_inverse(b)))))),bind(Z0,$fot(multiply(a,add(b,multiply(b,additive_inverse(b))))))]]) ).
cnf(refute_0_1237,plain,
( multiply(a,add(c,multiply(b,additive_inverse(b)))) != multiply(a,add(b,multiply(b,additive_inverse(b))))
| add(multiply(a,c),multiply(c,additive_inverse(b))) = multiply(a,add(b,multiply(b,additive_inverse(b)))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,c),multiply(c,additive_inverse(b))),multiply(a,add(c,multiply(b,additive_inverse(b))))) )],[refute_0_1235,refute_0_1236]) ).
cnf(refute_0_1238,plain,
add(multiply(a,c),multiply(c,additive_inverse(b))) = multiply(a,add(b,multiply(b,additive_inverse(b)))),
inference(resolve,[$cnf( $equal(multiply(a,add(c,multiply(b,additive_inverse(b)))),multiply(a,add(b,multiply(b,additive_inverse(b))))) )],[refute_0_1234,refute_0_1237]) ).
cnf(refute_0_1239,plain,
( multiply(a,add(b,multiply(b,additive_inverse(b)))) != additive_identity
| add(multiply(a,c),multiply(c,additive_inverse(b))) != multiply(a,add(b,multiply(b,additive_inverse(b))))
| add(multiply(a,c),multiply(c,additive_inverse(b))) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,c),multiply(c,additive_inverse(b))))),bind(Y0,$fot(multiply(a,add(b,multiply(b,additive_inverse(b)))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1240,plain,
( multiply(a,add(b,multiply(b,additive_inverse(b)))) != additive_identity
| add(multiply(a,c),multiply(c,additive_inverse(b))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(multiply(a,c),multiply(c,additive_inverse(b))),multiply(a,add(b,multiply(b,additive_inverse(b))))) )],[refute_0_1238,refute_0_1239]) ).
cnf(refute_0_1241,plain,
add(multiply(a,c),multiply(c,additive_inverse(b))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(b,additive_inverse(b)))),additive_identity) )],[refute_0_1233,refute_0_1240]) ).
cnf(refute_0_1242,plain,
( multiply(add(a,c),additive_inverse(b)) != add(multiply(a,c),multiply(c,additive_inverse(b)))
| add(multiply(a,c),multiply(c,additive_inverse(b))) != additive_identity
| multiply(add(a,c),additive_inverse(b)) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,c),additive_inverse(b)),additive_identity) ),[0],$fot(add(multiply(a,c),multiply(c,additive_inverse(b))))]]) ).
cnf(refute_0_1243,plain,
( multiply(add(a,c),additive_inverse(b)) != add(multiply(a,c),multiply(c,additive_inverse(b)))
| multiply(add(a,c),additive_inverse(b)) = additive_identity ),
inference(resolve,[$cnf( $equal(add(multiply(a,c),multiply(c,additive_inverse(b))),additive_identity) )],[refute_0_1241,refute_0_1242]) ).
cnf(refute_0_1244,plain,
( multiply(a,multiply(add(b,a),additive_inverse(b))) != add(multiply(a,c),multiply(c,additive_inverse(b)))
| multiply(add(a,c),additive_inverse(b)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),additive_inverse(b)),add(multiply(a,c),multiply(c,additive_inverse(b)))) )],[refute_0_1210,refute_0_1243]) ).
cnf(refute_0_1245,plain,
multiply(add(a,c),additive_inverse(b)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(a,multiply(add(b,a),additive_inverse(b))),add(multiply(a,c),multiply(c,additive_inverse(b)))) )],[refute_0_1199,refute_0_1244]) ).
cnf(refute_0_1246,plain,
( multiply(add(a,c),add(additive_inverse(b),add(a,c))) != add(add(a,c),multiply(add(a,c),additive_inverse(b)))
| multiply(add(a,c),additive_inverse(b)) != additive_identity
| multiply(add(a,c),add(additive_inverse(b),add(a,c))) = add(add(a,c),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(b),add(a,c))),add(add(a,c),multiply(add(a,c),additive_inverse(b)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1247,plain,
( multiply(add(a,c),add(additive_inverse(b),add(a,c))) != add(add(a,c),multiply(add(a,c),additive_inverse(b)))
| multiply(add(a,c),add(additive_inverse(b),add(a,c))) = add(add(a,c),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),additive_inverse(b)),additive_identity) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
multiply(add(a,c),add(additive_inverse(b),add(a,c))) = add(add(a,c),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(b),add(a,c))),add(add(a,c),multiply(add(a,c),additive_inverse(b)))) )],[refute_0_1146,refute_0_1247]) ).
cnf(refute_0_1249,plain,
add(a,add(additive_inverse(b),c)) = add(a,add(c,additive_inverse(b))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(a)),bind(X_7,$fot(additive_inverse(b))),bind(X_8,$fot(c))]]) ).
cnf(refute_0_1250,plain,
add(additive_inverse(b),add(a,c)) = add(a,add(additive_inverse(b),c)),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(a)),bind(X_7,$fot(additive_inverse(b))),bind(X_8,$fot(c))]]) ).
cnf(refute_0_1251,plain,
( add(a,add(additive_inverse(b),c)) != add(a,add(c,additive_inverse(b)))
| add(additive_inverse(b),add(a,c)) != add(a,add(additive_inverse(b),c))
| add(additive_inverse(b),add(a,c)) = add(a,add(c,additive_inverse(b))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(additive_inverse(b),add(a,c)))),bind(Y0,$fot(add(a,add(additive_inverse(b),c)))),bind(Z0,$fot(add(a,add(c,additive_inverse(b)))))]]) ).
cnf(refute_0_1252,plain,
( add(a,add(additive_inverse(b),c)) != add(a,add(c,additive_inverse(b)))
| add(additive_inverse(b),add(a,c)) = add(a,add(c,additive_inverse(b))) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(b),add(a,c)),add(a,add(additive_inverse(b),c))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
add(additive_inverse(b),add(a,c)) = add(a,add(c,additive_inverse(b))),
inference(resolve,[$cnf( $equal(add(a,add(additive_inverse(b),c)),add(a,add(c,additive_inverse(b)))) )],[refute_0_1249,refute_0_1252]) ).
cnf(refute_0_1254,plain,
multiply(add(a,c),add(additive_inverse(b),add(a,c))) = multiply(add(a,c),add(additive_inverse(b),add(a,c))),
introduced(tautology,[refl,[$fot(multiply(add(a,c),add(additive_inverse(b),add(a,c))))]]) ).
cnf(refute_0_1255,plain,
( multiply(add(a,c),add(additive_inverse(b),add(a,c))) != multiply(add(a,c),add(additive_inverse(b),add(a,c)))
| add(additive_inverse(b),add(a,c)) != add(a,add(c,additive_inverse(b)))
| multiply(add(a,c),add(additive_inverse(b),add(a,c))) = multiply(add(a,c),add(a,add(c,additive_inverse(b)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(b),add(a,c))),multiply(add(a,c),add(additive_inverse(b),add(a,c)))) ),[1,1],$fot(add(a,add(c,additive_inverse(b))))]]) ).
cnf(refute_0_1256,plain,
( add(additive_inverse(b),add(a,c)) != add(a,add(c,additive_inverse(b)))
| multiply(add(a,c),add(additive_inverse(b),add(a,c))) = multiply(add(a,c),add(a,add(c,additive_inverse(b)))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(b),add(a,c))),multiply(add(a,c),add(additive_inverse(b),add(a,c)))) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
multiply(add(a,c),add(additive_inverse(b),add(a,c))) = multiply(add(a,c),add(a,add(c,additive_inverse(b)))),
inference(resolve,[$cnf( $equal(add(additive_inverse(b),add(a,c)),add(a,add(c,additive_inverse(b)))) )],[refute_0_1253,refute_0_1256]) ).
cnf(refute_0_1258,plain,
( multiply(add(a,c),add(additive_inverse(b),add(a,c))) != multiply(add(a,c),add(a,add(c,additive_inverse(b))))
| multiply(add(a,c),add(additive_inverse(b),add(a,c))) != add(add(a,c),additive_identity)
| multiply(add(a,c),add(a,add(c,additive_inverse(b)))) = add(add(a,c),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(b),add(a,c))),add(add(a,c),additive_identity)) ),[0],$fot(multiply(add(a,c),add(a,add(c,additive_inverse(b)))))]]) ).
cnf(refute_0_1259,plain,
( multiply(add(a,c),add(additive_inverse(b),add(a,c))) != add(add(a,c),additive_identity)
| multiply(add(a,c),add(a,add(c,additive_inverse(b)))) = add(add(a,c),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(b),add(a,c))),multiply(add(a,c),add(a,add(c,additive_inverse(b))))) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
add(a,add(additive_identity,c)) = add(a,add(additive_identity,c)),
introduced(tautology,[refl,[$fot(add(a,add(additive_identity,c)))]]) ).
cnf(refute_0_1261,plain,
( add(a,add(additive_identity,c)) != add(a,add(additive_identity,c))
| add(additive_identity,c) != c
| add(a,add(additive_identity,c)) = add(a,c) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(additive_identity,c)),add(a,add(additive_identity,c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_1262,plain,
( add(additive_identity,c) != c
| add(a,add(additive_identity,c)) = add(a,c) ),
inference(resolve,[$cnf( $equal(add(a,add(additive_identity,c)),add(a,add(additive_identity,c))) )],[refute_0_1260,refute_0_1261]) ).
cnf(refute_0_1263,plain,
add(a,add(additive_identity,c)) = add(a,c),
inference(resolve,[$cnf( $equal(add(additive_identity,c),c) )],[refute_0_257,refute_0_1262]) ).
cnf(refute_0_1264,plain,
add(additive_identity,add(a,c)) = add(a,add(additive_identity,c)),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(a)),bind(X_7,$fot(additive_identity)),bind(X_8,$fot(c))]]) ).
cnf(refute_0_1265,plain,
add(add(a,c),additive_identity) = add(additive_identity,add(a,c)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(add(a,c)))]]) ).
cnf(refute_0_1266,plain,
( add(add(a,c),additive_identity) != add(additive_identity,add(a,c))
| add(additive_identity,add(a,c)) != add(a,add(additive_identity,c))
| add(add(a,c),additive_identity) = add(a,add(additive_identity,c)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(a,c),additive_identity))),bind(Y0,$fot(add(additive_identity,add(a,c)))),bind(Z0,$fot(add(a,add(additive_identity,c))))]]) ).
cnf(refute_0_1267,plain,
( add(additive_identity,add(a,c)) != add(a,add(additive_identity,c))
| add(add(a,c),additive_identity) = add(a,add(additive_identity,c)) ),
inference(resolve,[$cnf( $equal(add(add(a,c),additive_identity),add(additive_identity,add(a,c))) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
add(add(a,c),additive_identity) = add(a,add(additive_identity,c)),
inference(resolve,[$cnf( $equal(add(additive_identity,add(a,c)),add(a,add(additive_identity,c))) )],[refute_0_1264,refute_0_1267]) ).
cnf(refute_0_1269,plain,
( add(add(a,c),additive_identity) != add(a,add(additive_identity,c))
| add(a,add(additive_identity,c)) != add(a,c)
| add(add(a,c),additive_identity) = add(a,c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(a,c),additive_identity))),bind(Y0,$fot(add(a,add(additive_identity,c)))),bind(Z0,$fot(add(a,c)))]]) ).
cnf(refute_0_1270,plain,
( add(a,add(additive_identity,c)) != add(a,c)
| add(add(a,c),additive_identity) = add(a,c) ),
inference(resolve,[$cnf( $equal(add(add(a,c),additive_identity),add(a,add(additive_identity,c))) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
add(add(a,c),additive_identity) = add(a,c),
inference(resolve,[$cnf( $equal(add(a,add(additive_identity,c)),add(a,c)) )],[refute_0_1263,refute_0_1270]) ).
cnf(refute_0_1272,plain,
( multiply(add(a,c),add(a,add(c,additive_inverse(b)))) != add(add(a,c),additive_identity)
| add(add(a,c),additive_identity) != add(a,c)
| multiply(add(a,c),add(a,add(c,additive_inverse(b)))) = add(a,c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,c),add(a,add(c,additive_inverse(b)))),add(a,c)) ),[0],$fot(add(add(a,c),additive_identity))]]) ).
cnf(refute_0_1273,plain,
( multiply(add(a,c),add(a,add(c,additive_inverse(b)))) != add(add(a,c),additive_identity)
| multiply(add(a,c),add(a,add(c,additive_inverse(b)))) = add(a,c) ),
inference(resolve,[$cnf( $equal(add(add(a,c),additive_identity),add(a,c)) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
( multiply(add(a,c),add(additive_inverse(b),add(a,c))) != add(add(a,c),additive_identity)
| multiply(add(a,c),add(a,add(c,additive_inverse(b)))) = add(a,c) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(a,add(c,additive_inverse(b)))),add(add(a,c),additive_identity)) )],[refute_0_1259,refute_0_1273]) ).
cnf(refute_0_1275,plain,
multiply(add(a,c),add(a,add(c,additive_inverse(b)))) = add(a,c),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(additive_inverse(b),add(a,c))),add(add(a,c),additive_identity)) )],[refute_0_1248,refute_0_1274]) ).
cnf(refute_0_1276,plain,
( multiply(add(a,c),add(a,add(c,additive_inverse(b)))) != add(a,c)
| multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(c,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))
| multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,add(a,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(c,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) ),[1,1],$fot(add(a,c))]]) ).
cnf(refute_0_1277,plain,
( multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(c,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))
| multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(a,add(c,additive_inverse(b)))),add(a,c)) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,add(a,c)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(c,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) )],[refute_0_1145,refute_0_1277]) ).
cnf(refute_0_1279,plain,
multiply(additive_identity,add(Y,c)) = add(multiply(additive_identity,Y),multiply(additive_identity,c)),
inference(subst,[],[distribute1:[bind(X,$fot(additive_identity)),bind(Z,$fot(c))]]) ).
cnf(refute_0_1280,plain,
multiply(c,add(c,c)) = multiply(c,multiply(add(c,c),c)),
inference(subst,[],[refute_0_930:[bind(X_28,$fot(c)),bind(X_49,$fot(c))]]) ).
cnf(refute_0_1281,plain,
multiply(c,add(c,b)) = multiply(c,add(c,c)),
inference(subst,[],[refute_0_297:[bind(X_28,$fot(c))]]) ).
cnf(refute_0_1282,plain,
( multiply(c,add(c,b)) != multiply(c,add(c,c))
| multiply(c,add(c,c)) = multiply(c,add(c,b)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(c,b)))),bind(Y0,$fot(multiply(c,add(c,c))))]]) ).
cnf(refute_0_1283,plain,
multiply(c,add(c,c)) = multiply(c,add(c,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,b)),multiply(c,add(c,c))) )],[refute_0_1281,refute_0_1282]) ).
cnf(refute_0_1284,plain,
( multiply(c,add(c,c)) != multiply(c,multiply(add(c,c),c))
| multiply(c,add(c,c)) != multiply(c,add(c,b))
| multiply(c,add(c,b)) = multiply(c,multiply(add(c,c),c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(c,c)),multiply(c,multiply(add(c,c),c))) ),[0],$fot(multiply(c,add(c,b)))]]) ).
cnf(refute_0_1285,plain,
( multiply(c,add(c,c)) != multiply(c,multiply(add(c,c),c))
| multiply(c,add(c,b)) = multiply(c,multiply(add(c,c),c)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(c,c)),multiply(c,add(c,b))) )],[refute_0_1283,refute_0_1284]) ).
cnf(refute_0_1286,plain,
multiply(c,add(c,b)) = multiply(c,multiply(add(c,c),c)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,c)),multiply(c,multiply(add(c,c),c))) )],[refute_0_1280,refute_0_1285]) ).
cnf(refute_0_1287,plain,
( multiply(c,add(b,b)) != additive_identity
| multiply(c,add(b,c)) != multiply(c,add(b,b))
| multiply(c,add(b,c)) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(b,c)))),bind(Y0,$fot(multiply(c,add(b,b)))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1288,plain,
( multiply(c,add(b,b)) != additive_identity
| multiply(c,add(b,c)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,c)),multiply(c,add(b,b))) )],[refute_0_300,refute_0_1287]) ).
cnf(refute_0_1289,plain,
multiply(c,add(b,c)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(c,add(b,b)),additive_identity) )],[refute_0_709,refute_0_1288]) ).
cnf(refute_0_1290,plain,
multiply(c,add(c,b)) = multiply(c,add(b,c)),
inference(subst,[],[refute_0_821:[bind(X_47,$fot(c)),bind(X_48,$fot(b))]]) ).
cnf(refute_0_1291,plain,
( multiply(c,add(b,c)) != additive_identity
| multiply(c,add(c,b)) != multiply(c,add(b,c))
| multiply(c,add(c,b)) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(c,b)))),bind(Y0,$fot(multiply(c,add(b,c)))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1292,plain,
( multiply(c,add(b,c)) != additive_identity
| multiply(c,add(c,b)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(c,add(c,b)),multiply(c,add(b,c))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
multiply(c,add(c,b)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(c,add(b,c)),additive_identity) )],[refute_0_1289,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( multiply(c,add(c,b)) != multiply(c,multiply(add(c,c),c))
| multiply(c,add(c,b)) != additive_identity
| additive_identity = multiply(c,multiply(add(c,c),c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(c,b)),multiply(c,multiply(add(c,c),c))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_1295,plain,
( multiply(c,add(c,b)) != multiply(c,multiply(add(c,c),c))
| additive_identity = multiply(c,multiply(add(c,c),c)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(c,b)),additive_identity) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
multiply(c,add(c,c)) = multiply(additive_identity,c),
inference(subst,[],[refute_0_1023:[bind(Z,$fot(c))]]) ).
cnf(refute_0_1297,plain,
multiply(c,multiply(c,add(c,c))) = multiply(c,add(c,c)),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(c)),bind(X_16,$fot(add(c,c)))]]) ).
cnf(refute_0_1298,plain,
( multiply(c,multiply(c,add(c,c))) != multiply(c,add(c,c))
| multiply(c,add(c,c)) != multiply(additive_identity,c)
| multiply(c,multiply(c,add(c,c))) = multiply(additive_identity,c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(c,add(c,c))))),bind(Y0,$fot(multiply(c,add(c,c)))),bind(Z0,$fot(multiply(additive_identity,c)))]]) ).
cnf(refute_0_1299,plain,
( multiply(c,add(c,c)) != multiply(additive_identity,c)
| multiply(c,multiply(c,add(c,c))) = multiply(additive_identity,c) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,add(c,c))),multiply(c,add(c,c))) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
multiply(c,multiply(c,add(c,c))) = multiply(additive_identity,c),
inference(resolve,[$cnf( $equal(multiply(c,add(c,c)),multiply(additive_identity,c)) )],[refute_0_1296,refute_0_1299]) ).
cnf(refute_0_1301,plain,
multiply(X_62,add(multiply(X,Y),multiply(X,Y))) = multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))),
inference(subst,[],[refute_0_930:[bind(X_28,$fot(multiply(X,Y))),bind(X_49,$fot(X_62))]]) ).
cnf(refute_0_1302,plain,
multiply(X,add(Y,Y)) = add(multiply(X,Y),multiply(X,Y)),
inference(subst,[],[distribute1:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_1303,plain,
( multiply(X,add(Y,Y)) != add(multiply(X,Y),multiply(X,Y))
| add(multiply(X,Y),multiply(X,Y)) = multiply(X,add(Y,Y)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,add(Y,Y)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Y))))]]) ).
cnf(refute_0_1304,plain,
add(multiply(X,Y),multiply(X,Y)) = multiply(X,add(Y,Y)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Y)),add(multiply(X,Y),multiply(X,Y))) )],[refute_0_1302,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( multiply(X_62,add(multiply(X,Y),multiply(X,Y))) != multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y)))
| add(multiply(X,Y),multiply(X,Y)) != multiply(X,add(Y,Y))
| multiply(X_62,multiply(X,add(Y,Y))) = multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,add(multiply(X,Y),multiply(X,Y))),multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y)))) ),[0,1],$fot(multiply(X,add(Y,Y)))]]) ).
cnf(refute_0_1306,plain,
( multiply(X_62,add(multiply(X,Y),multiply(X,Y))) != multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y)))
| multiply(X_62,multiply(X,add(Y,Y))) = multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Y)),multiply(X,add(Y,Y))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
multiply(X_62,multiply(X,add(Y,Y))) = multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))),
inference(resolve,[$cnf( $equal(multiply(X_62,add(multiply(X,Y),multiply(X,Y))),multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y)))) )],[refute_0_1301,refute_0_1306]) ).
cnf(refute_0_1308,plain,
add(multiply(X,Y),multiply(X,Y)) = multiply(add(X,X),Y),
inference(subst,[],[refute_0_308:[bind(Y,$fot(X)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1309,plain,
multiply(X_62,add(multiply(X,Y),multiply(X,Y))) = multiply(X_62,add(multiply(X,Y),multiply(X,Y))),
introduced(tautology,[refl,[$fot(multiply(X_62,add(multiply(X,Y),multiply(X,Y))))]]) ).
cnf(refute_0_1310,plain,
( multiply(X_62,add(multiply(X,Y),multiply(X,Y))) != multiply(X_62,add(multiply(X,Y),multiply(X,Y)))
| add(multiply(X,Y),multiply(X,Y)) != multiply(add(X,X),Y)
| multiply(X_62,add(multiply(X,Y),multiply(X,Y))) = multiply(X_62,multiply(add(X,X),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,add(multiply(X,Y),multiply(X,Y))),multiply(X_62,add(multiply(X,Y),multiply(X,Y)))) ),[1,1],$fot(multiply(add(X,X),Y))]]) ).
cnf(refute_0_1311,plain,
( add(multiply(X,Y),multiply(X,Y)) != multiply(add(X,X),Y)
| multiply(X_62,add(multiply(X,Y),multiply(X,Y))) = multiply(X_62,multiply(add(X,X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,add(multiply(X,Y),multiply(X,Y))),multiply(X_62,add(multiply(X,Y),multiply(X,Y)))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
multiply(X_62,add(multiply(X,Y),multiply(X,Y))) = multiply(X_62,multiply(add(X,X),Y)),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Y)),multiply(add(X,X),Y)) )],[refute_0_1308,refute_0_1311]) ).
cnf(refute_0_1313,plain,
multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))) = multiply(X_62,add(multiply(X,Y),multiply(X,Y))),
inference(subst,[],[refute_0_1015:[bind(X_28,$fot(multiply(X,Y))),bind(X_49,$fot(X_62))]]) ).
cnf(refute_0_1314,plain,
( multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))) != multiply(X_62,add(multiply(X,Y),multiply(X,Y)))
| multiply(X_62,add(multiply(X,Y),multiply(X,Y))) != multiply(X_62,multiply(add(X,X),Y))
| multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))) = multiply(X_62,multiply(add(X,X),Y)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))))),bind(Y0,$fot(multiply(X_62,add(multiply(X,Y),multiply(X,Y))))),bind(Z0,$fot(multiply(X_62,multiply(add(X,X),Y))))]]) ).
cnf(refute_0_1315,plain,
( multiply(X_62,add(multiply(X,Y),multiply(X,Y))) != multiply(X_62,multiply(add(X,X),Y))
| multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))) = multiply(X_62,multiply(add(X,X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))),multiply(X_62,add(multiply(X,Y),multiply(X,Y)))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))) = multiply(X_62,multiply(add(X,X),Y)),
inference(resolve,[$cnf( $equal(multiply(X_62,add(multiply(X,Y),multiply(X,Y))),multiply(X_62,multiply(add(X,X),Y))) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
( multiply(X_62,multiply(X,add(Y,Y))) != multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y)))
| multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))) != multiply(X_62,multiply(add(X,X),Y))
| multiply(X_62,multiply(X,add(Y,Y))) = multiply(X_62,multiply(add(X,X),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_62,multiply(X,add(Y,Y))),multiply(X_62,multiply(add(X,X),Y))) ),[0],$fot(multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))))]]) ).
cnf(refute_0_1318,plain,
( multiply(X_62,multiply(X,add(Y,Y))) != multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y)))
| multiply(X_62,multiply(X,add(Y,Y))) = multiply(X_62,multiply(add(X,X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y))),multiply(X_62,multiply(add(X,X),Y))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
multiply(X_62,multiply(X,add(Y,Y))) = multiply(X_62,multiply(add(X,X),Y)),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(X,add(Y,Y))),multiply(X_62,multiply(add(multiply(X,Y),X_62),multiply(X,Y)))) )],[refute_0_1307,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( multiply(X_62,multiply(X,add(Y,Y))) != multiply(X_62,multiply(add(X,X),Y))
| multiply(X_62,multiply(add(X,X),Y)) = multiply(X_62,multiply(X,add(Y,Y))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_62,multiply(X,add(Y,Y))))),bind(Y0,$fot(multiply(X_62,multiply(add(X,X),Y))))]]) ).
cnf(refute_0_1321,plain,
multiply(X_62,multiply(add(X,X),Y)) = multiply(X_62,multiply(X,add(Y,Y))),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(X,add(Y,Y))),multiply(X_62,multiply(add(X,X),Y))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
multiply(c,multiply(add(c,c),c)) = multiply(c,multiply(c,add(c,c))),
inference(subst,[],[refute_0_1321:[bind(X,$fot(c)),bind(Y,$fot(c)),bind(X_62,$fot(c))]]) ).
cnf(refute_0_1323,plain,
( multiply(c,multiply(add(c,c),c)) != multiply(c,multiply(c,add(c,c)))
| multiply(c,multiply(c,add(c,c))) != multiply(additive_identity,c)
| multiply(c,multiply(add(c,c),c)) = multiply(additive_identity,c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(c,c),c)))),bind(Y0,$fot(multiply(c,multiply(c,add(c,c))))),bind(Z0,$fot(multiply(additive_identity,c)))]]) ).
cnf(refute_0_1324,plain,
( multiply(c,multiply(c,add(c,c))) != multiply(additive_identity,c)
| multiply(c,multiply(add(c,c),c)) = multiply(additive_identity,c) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(c,c),c)),multiply(c,multiply(c,add(c,c)))) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
multiply(c,multiply(add(c,c),c)) = multiply(additive_identity,c),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,add(c,c))),multiply(additive_identity,c)) )],[refute_0_1300,refute_0_1324]) ).
cnf(refute_0_1326,plain,
( multiply(c,multiply(add(c,c),c)) != multiply(additive_identity,c)
| additive_identity != multiply(c,multiply(add(c,c),c))
| additive_identity = multiply(additive_identity,c) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(c,multiply(add(c,c),c))) ),[1],$fot(multiply(additive_identity,c))]]) ).
cnf(refute_0_1327,plain,
( additive_identity != multiply(c,multiply(add(c,c),c))
| additive_identity = multiply(additive_identity,c) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(c,c),c)),multiply(additive_identity,c)) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
( multiply(c,add(c,b)) != multiply(c,multiply(add(c,c),c))
| additive_identity = multiply(additive_identity,c) ),
inference(resolve,[$cnf( $equal(additive_identity,multiply(c,multiply(add(c,c),c))) )],[refute_0_1295,refute_0_1327]) ).
cnf(refute_0_1329,plain,
additive_identity = multiply(additive_identity,c),
inference(resolve,[$cnf( $equal(multiply(c,add(c,b)),multiply(c,multiply(add(c,c),c))) )],[refute_0_1286,refute_0_1328]) ).
cnf(refute_0_1330,plain,
( additive_identity != multiply(additive_identity,c)
| multiply(additive_identity,c) = additive_identity ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,c)))]]) ).
cnf(refute_0_1331,plain,
multiply(additive_identity,c) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,c)) )],[refute_0_1329,refute_0_1330]) ).
cnf(refute_0_1332,plain,
( multiply(additive_identity,add(Y,c)) != add(multiply(additive_identity,Y),multiply(additive_identity,c))
| multiply(additive_identity,c) != additive_identity
| multiply(additive_identity,add(Y,c)) = add(multiply(additive_identity,Y),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(Y,c)),add(multiply(additive_identity,Y),multiply(additive_identity,c))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1333,plain,
( multiply(additive_identity,add(Y,c)) != add(multiply(additive_identity,Y),multiply(additive_identity,c))
| multiply(additive_identity,add(Y,c)) = add(multiply(additive_identity,Y),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,c),additive_identity) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
multiply(additive_identity,add(Y,c)) = add(multiply(additive_identity,Y),additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(Y,c)),add(multiply(additive_identity,Y),multiply(additive_identity,c))) )],[refute_0_1279,refute_0_1333]) ).
cnf(refute_0_1335,plain,
add(Y,additive_identity) = Y,
inference(subst,[],[right_additive_identity:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1336,plain,
multiply(additive_identity,add(Y,additive_identity)) = multiply(additive_identity,add(Y,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(Y,additive_identity)))]]) ).
cnf(refute_0_1337,plain,
( multiply(additive_identity,add(Y,additive_identity)) != multiply(additive_identity,add(Y,additive_identity))
| add(Y,additive_identity) != Y
| multiply(additive_identity,add(Y,additive_identity)) = multiply(additive_identity,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(Y,additive_identity)),multiply(additive_identity,add(Y,additive_identity))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_1338,plain,
( add(Y,additive_identity) != Y
| multiply(additive_identity,add(Y,additive_identity)) = multiply(additive_identity,Y) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(Y,additive_identity)),multiply(additive_identity,add(Y,additive_identity))) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
multiply(additive_identity,add(Y,additive_identity)) = multiply(additive_identity,Y),
inference(resolve,[$cnf( $equal(add(Y,additive_identity),Y) )],[refute_0_1335,refute_0_1338]) ).
cnf(refute_0_1340,plain,
add(additive_identity,multiply(additive_identity,Y)) = multiply(additive_identity,add(Y,additive_identity)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(Y)),bind(X_29,$fot(additive_identity))]]) ).
cnf(refute_0_1341,plain,
add(multiply(additive_identity,Y),additive_identity) = add(additive_identity,multiply(additive_identity,Y)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(multiply(additive_identity,Y)))]]) ).
cnf(refute_0_1342,plain,
( add(multiply(additive_identity,Y),additive_identity) != add(additive_identity,multiply(additive_identity,Y))
| add(additive_identity,multiply(additive_identity,Y)) != multiply(additive_identity,add(Y,additive_identity))
| add(multiply(additive_identity,Y),additive_identity) = multiply(additive_identity,add(Y,additive_identity)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,Y),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(additive_identity,Y)))),bind(Z0,$fot(multiply(additive_identity,add(Y,additive_identity))))]]) ).
cnf(refute_0_1343,plain,
( add(additive_identity,multiply(additive_identity,Y)) != multiply(additive_identity,add(Y,additive_identity))
| add(multiply(additive_identity,Y),additive_identity) = multiply(additive_identity,add(Y,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,Y),additive_identity),add(additive_identity,multiply(additive_identity,Y))) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
add(multiply(additive_identity,Y),additive_identity) = multiply(additive_identity,add(Y,additive_identity)),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(additive_identity,Y)),multiply(additive_identity,add(Y,additive_identity))) )],[refute_0_1340,refute_0_1343]) ).
cnf(refute_0_1345,plain,
( multiply(additive_identity,add(Y,additive_identity)) != multiply(additive_identity,Y)
| add(multiply(additive_identity,Y),additive_identity) != multiply(additive_identity,add(Y,additive_identity))
| add(multiply(additive_identity,Y),additive_identity) = multiply(additive_identity,Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,Y),additive_identity))),bind(Y0,$fot(multiply(additive_identity,add(Y,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,Y)))]]) ).
cnf(refute_0_1346,plain,
( multiply(additive_identity,add(Y,additive_identity)) != multiply(additive_identity,Y)
| add(multiply(additive_identity,Y),additive_identity) = multiply(additive_identity,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,Y),additive_identity),multiply(additive_identity,add(Y,additive_identity))) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
add(multiply(additive_identity,Y),additive_identity) = multiply(additive_identity,Y),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(Y,additive_identity)),multiply(additive_identity,Y)) )],[refute_0_1339,refute_0_1346]) ).
cnf(refute_0_1348,plain,
( multiply(additive_identity,add(Y,c)) != add(multiply(additive_identity,Y),additive_identity)
| add(multiply(additive_identity,Y),additive_identity) != multiply(additive_identity,Y)
| multiply(additive_identity,add(Y,c)) = multiply(additive_identity,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_identity,add(Y,c)),multiply(additive_identity,Y)) ),[0],$fot(add(multiply(additive_identity,Y),additive_identity))]]) ).
cnf(refute_0_1349,plain,
( multiply(additive_identity,add(Y,c)) != add(multiply(additive_identity,Y),additive_identity)
| multiply(additive_identity,add(Y,c)) = multiply(additive_identity,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,Y),additive_identity),multiply(additive_identity,Y)) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
multiply(additive_identity,add(Y,c)) = multiply(additive_identity,Y),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(Y,c)),add(multiply(additive_identity,Y),additive_identity)) )],[refute_0_1334,refute_0_1349]) ).
cnf(refute_0_1351,plain,
multiply(additive_identity,add(a,c)) = multiply(additive_identity,a),
inference(subst,[],[refute_0_1350:[bind(Y,$fot(a))]]) ).
cnf(refute_0_1352,plain,
( multiply(add(c,c),Z) != multiply(additive_identity,Z)
| multiply(c,multiply(add(b,b),Z)) != multiply(add(c,c),Z)
| multiply(c,multiply(add(b,b),Z)) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(b,b),Z)),multiply(add(c,c),Z)) ),[1],$fot(multiply(additive_identity,Z))]]) ).
cnf(refute_0_1353,plain,
( multiply(c,multiply(add(b,b),Z)) != multiply(add(c,c),Z)
| multiply(c,multiply(add(b,b),Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(add(c,c),Z),multiply(additive_identity,Z)) )],[refute_0_956,refute_0_1352]) ).
cnf(refute_0_1354,plain,
multiply(c,multiply(add(b,b),Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,b),Z)),multiply(add(c,c),Z)) )],[refute_0_368,refute_0_1353]) ).
cnf(refute_0_1355,plain,
multiply(c,multiply(add(b,b),add(a,c))) = multiply(additive_identity,add(a,c)),
inference(subst,[],[refute_0_1354:[bind(Z,$fot(add(a,c)))]]) ).
cnf(refute_0_1356,plain,
( multiply(additive_identity,add(a,c)) != multiply(additive_identity,a)
| multiply(c,multiply(add(b,b),add(a,c))) != multiply(additive_identity,add(a,c))
| multiply(c,multiply(add(b,b),add(a,c))) = multiply(additive_identity,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(b,b),add(a,c))))),bind(Y0,$fot(multiply(additive_identity,add(a,c)))),bind(Z0,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1357,plain,
( multiply(additive_identity,add(a,c)) != multiply(additive_identity,a)
| multiply(c,multiply(add(b,b),add(a,c))) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,b),add(a,c))),multiply(additive_identity,add(a,c))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
multiply(c,multiply(add(b,b),add(a,c))) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(a,c)),multiply(additive_identity,a)) )],[refute_0_1351,refute_0_1357]) ).
cnf(refute_0_1359,plain,
multiply(c,multiply(add(X_39,c),Z)) = multiply(multiply(c,add(X_39,c)),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(c)),bind(Y,$fot(add(X_39,c)))]]) ).
cnf(refute_0_1360,plain,
multiply(c,add(X_39,b)) = multiply(c,add(X_39,c)),
inference(subst,[],[refute_0_297:[bind(X_28,$fot(X_39))]]) ).
cnf(refute_0_1361,plain,
( multiply(c,add(X_39,b)) != multiply(c,add(X_39,c))
| multiply(c,add(X_39,c)) = multiply(c,add(X_39,b)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(X_39,b)))),bind(Y0,$fot(multiply(c,add(X_39,c))))]]) ).
cnf(refute_0_1362,plain,
multiply(c,add(X_39,c)) = multiply(c,add(X_39,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(X_39,b)),multiply(c,add(X_39,c))) )],[refute_0_1360,refute_0_1361]) ).
cnf(refute_0_1363,plain,
( multiply(c,multiply(add(X_39,c),Z)) != multiply(multiply(c,add(X_39,c)),Z)
| multiply(c,add(X_39,c)) != multiply(c,add(X_39,b))
| multiply(c,multiply(add(X_39,c),Z)) = multiply(multiply(c,add(X_39,b)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(X_39,c),Z)),multiply(multiply(c,add(X_39,c)),Z)) ),[1,0],$fot(multiply(c,add(X_39,b)))]]) ).
cnf(refute_0_1364,plain,
( multiply(c,multiply(add(X_39,c),Z)) != multiply(multiply(c,add(X_39,c)),Z)
| multiply(c,multiply(add(X_39,c),Z)) = multiply(multiply(c,add(X_39,b)),Z) ),
inference(resolve,[$cnf( $equal(multiply(c,add(X_39,c)),multiply(c,add(X_39,b))) )],[refute_0_1362,refute_0_1363]) ).
cnf(refute_0_1365,plain,
multiply(c,multiply(add(X_39,c),Z)) = multiply(multiply(c,add(X_39,b)),Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(X_39,c),Z)),multiply(multiply(c,add(X_39,c)),Z)) )],[refute_0_1359,refute_0_1364]) ).
cnf(refute_0_1366,plain,
multiply(multiply(c,add(X_39,b)),Z) = multiply(c,multiply(add(X_39,b),Z)),
inference(subst,[],[refute_0_891:[bind(X,$fot(c)),bind(Y,$fot(add(X_39,b)))]]) ).
cnf(refute_0_1367,plain,
( multiply(multiply(c,add(X_39,b)),Z) != multiply(c,multiply(add(X_39,b),Z))
| multiply(c,multiply(add(X_39,c),Z)) != multiply(multiply(c,add(X_39,b)),Z)
| multiply(c,multiply(add(X_39,c),Z)) = multiply(c,multiply(add(X_39,b),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(X_39,c),Z)),multiply(multiply(c,add(X_39,b)),Z)) ),[1],$fot(multiply(c,multiply(add(X_39,b),Z)))]]) ).
cnf(refute_0_1368,plain,
( multiply(c,multiply(add(X_39,c),Z)) != multiply(multiply(c,add(X_39,b)),Z)
| multiply(c,multiply(add(X_39,c),Z)) = multiply(c,multiply(add(X_39,b),Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(c,add(X_39,b)),Z),multiply(c,multiply(add(X_39,b),Z))) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
multiply(c,multiply(add(X_39,c),Z)) = multiply(c,multiply(add(X_39,b),Z)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(X_39,c),Z)),multiply(multiply(c,add(X_39,b)),Z)) )],[refute_0_1365,refute_0_1368]) ).
cnf(refute_0_1370,plain,
multiply(c,multiply(add(b,c),add(a,c))) = multiply(c,multiply(add(b,b),add(a,c))),
inference(subst,[],[refute_0_1369:[bind(Z,$fot(add(a,c))),bind(X_39,$fot(b))]]) ).
cnf(refute_0_1371,plain,
( multiply(c,multiply(add(b,b),add(a,c))) != multiply(additive_identity,a)
| multiply(c,multiply(add(b,c),add(a,c))) != multiply(c,multiply(add(b,b),add(a,c)))
| multiply(c,multiply(add(b,c),add(a,c))) = multiply(additive_identity,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(b,c),add(a,c))))),bind(Y0,$fot(multiply(c,multiply(add(b,b),add(a,c))))),bind(Z0,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1372,plain,
( multiply(c,multiply(add(b,b),add(a,c))) != multiply(additive_identity,a)
| multiply(c,multiply(add(b,c),add(a,c))) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,c),add(a,c))),multiply(c,multiply(add(b,b),add(a,c)))) )],[refute_0_1370,refute_0_1371]) ).
cnf(refute_0_1373,plain,
multiply(c,multiply(add(b,c),add(a,c))) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,b),add(a,c))),multiply(additive_identity,a)) )],[refute_0_1358,refute_0_1372]) ).
cnf(refute_0_1374,plain,
multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))) = multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))),
introduced(tautology,[refl,[$fot(multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))))]]) ).
cnf(refute_0_1375,plain,
( multiply(add(a,c),add(a,add(c,additive_inverse(b)))) != add(a,c)
| multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))) != multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b)))))
| multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))) = multiply(add(b,c),add(a,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))),multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) ),[1,1],$fot(add(a,c))]]) ).
cnf(refute_0_1376,plain,
( multiply(add(a,c),add(a,add(c,additive_inverse(b)))) != add(a,c)
| multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))) = multiply(add(b,c),add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))),multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))) = multiply(add(b,c),add(a,c)),
inference(resolve,[$cnf( $equal(multiply(add(a,c),add(a,add(c,additive_inverse(b)))),add(a,c)) )],[refute_0_1275,refute_0_1376]) ).
cnf(refute_0_1378,plain,
multiply(add(a,b),multiply(b,Z)) = multiply(multiply(add(a,b),b),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(add(a,b))),bind(Y,$fot(b))]]) ).
cnf(refute_0_1379,plain,
multiply(add(X_49,a),b) = add(multiply(X_49,b),multiply(a,b)),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(a)),bind(Z,$fot(b))]]) ).
cnf(refute_0_1380,plain,
( multiply(add(X_49,a),b) != add(multiply(X_49,b),multiply(a,b))
| multiply(a,b) != c
| multiply(add(X_49,a),b) = add(multiply(X_49,b),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,a),b),add(multiply(X_49,b),multiply(a,b))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_1381,plain,
( multiply(add(X_49,a),b) != add(multiply(X_49,b),multiply(a,b))
| multiply(add(X_49,a),b) = add(multiply(X_49,b),c) ),
inference(resolve,[$cnf( $equal(multiply(a,b),c) )],[a_times_b_is_c,refute_0_1380]) ).
cnf(refute_0_1382,plain,
multiply(add(X_49,a),b) = add(multiply(X_49,b),c),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),b),add(multiply(X_49,b),multiply(a,b))) )],[refute_0_1379,refute_0_1381]) ).
cnf(refute_0_1383,plain,
add(multiply(X_49,b),c) = add(c,multiply(X_49,b)),
inference(subst,[],[refute_0_9:[bind(X,$fot(c)),bind(Y,$fot(multiply(X_49,b)))]]) ).
cnf(refute_0_1384,plain,
( multiply(add(X_49,a),b) != add(multiply(X_49,b),c)
| add(multiply(X_49,b),c) != add(c,multiply(X_49,b))
| multiply(add(X_49,a),b) = add(c,multiply(X_49,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,a),b),add(c,multiply(X_49,b))) ),[0],$fot(add(multiply(X_49,b),c))]]) ).
cnf(refute_0_1385,plain,
( multiply(add(X_49,a),b) != add(multiply(X_49,b),c)
| multiply(add(X_49,a),b) = add(c,multiply(X_49,b)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,b),c),add(c,multiply(X_49,b))) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
multiply(add(X_49,a),b) = add(c,multiply(X_49,b)),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),b),add(multiply(X_49,b),c)) )],[refute_0_1382,refute_0_1385]) ).
cnf(refute_0_1387,plain,
multiply(add(b,a),b) = add(c,multiply(b,b)),
inference(subst,[],[refute_0_1386:[bind(X_49,$fot(b))]]) ).
cnf(refute_0_1388,plain,
( multiply(add(b,a),b) != add(c,multiply(b,b))
| multiply(b,b) != b
| multiply(add(b,a),b) = add(c,b) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(b,a),b),add(c,multiply(b,b))) ),[1,1],$fot(b)]]) ).
cnf(refute_0_1389,plain,
( multiply(add(b,a),b) != add(c,multiply(b,b))
| multiply(add(b,a),b) = add(c,b) ),
inference(resolve,[$cnf( $equal(multiply(b,b),b) )],[refute_0_29,refute_0_1388]) ).
cnf(refute_0_1390,plain,
multiply(add(b,a),b) = add(c,b),
inference(resolve,[$cnf( $equal(multiply(add(b,a),b),add(c,multiply(b,b))) )],[refute_0_1387,refute_0_1389]) ).
cnf(refute_0_1391,plain,
multiply(add(X_52,a),b) = add(c,multiply(X_52,b)),
inference(subst,[],[refute_0_1386:[bind(X_49,$fot(X_52))]]) ).
cnf(refute_0_1392,plain,
add(a,X_52) = add(X_52,a),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(a)),bind(Y,$fot(X_52))]]) ).
cnf(refute_0_1393,plain,
( add(a,X_52) != add(X_52,a)
| add(X_52,a) = add(a,X_52) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(a,X_52))),bind(Y0,$fot(add(X_52,a)))]]) ).
cnf(refute_0_1394,plain,
add(X_52,a) = add(a,X_52),
inference(resolve,[$cnf( $equal(add(a,X_52),add(X_52,a)) )],[refute_0_1392,refute_0_1393]) ).
cnf(refute_0_1395,plain,
( multiply(add(X_52,a),b) != add(c,multiply(X_52,b))
| add(X_52,a) != add(a,X_52)
| multiply(add(a,X_52),b) = add(c,multiply(X_52,b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_52,a),b),add(c,multiply(X_52,b))) ),[0,0],$fot(add(a,X_52))]]) ).
cnf(refute_0_1396,plain,
( multiply(add(X_52,a),b) != add(c,multiply(X_52,b))
| multiply(add(a,X_52),b) = add(c,multiply(X_52,b)) ),
inference(resolve,[$cnf( $equal(add(X_52,a),add(a,X_52)) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
multiply(add(a,X_52),b) = add(c,multiply(X_52,b)),
inference(resolve,[$cnf( $equal(multiply(add(X_52,a),b),add(c,multiply(X_52,b))) )],[refute_0_1391,refute_0_1396]) ).
cnf(refute_0_1398,plain,
( multiply(add(X_49,a),b) != add(c,multiply(X_49,b))
| add(c,multiply(X_49,b)) = multiply(add(X_49,a),b) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,a),b))),bind(Y0,$fot(add(c,multiply(X_49,b))))]]) ).
cnf(refute_0_1399,plain,
add(c,multiply(X_49,b)) = multiply(add(X_49,a),b),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),b),add(c,multiply(X_49,b))) )],[refute_0_1386,refute_0_1398]) ).
cnf(refute_0_1400,plain,
add(c,multiply(X_52,b)) = multiply(add(X_52,a),b),
inference(subst,[],[refute_0_1399:[bind(X_49,$fot(X_52))]]) ).
cnf(refute_0_1401,plain,
( multiply(add(a,X_52),b) != add(c,multiply(X_52,b))
| add(c,multiply(X_52,b)) != multiply(add(X_52,a),b)
| multiply(add(a,X_52),b) = multiply(add(X_52,a),b) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,X_52),b),multiply(add(X_52,a),b)) ),[0],$fot(add(c,multiply(X_52,b)))]]) ).
cnf(refute_0_1402,plain,
( multiply(add(a,X_52),b) != add(c,multiply(X_52,b))
| multiply(add(a,X_52),b) = multiply(add(X_52,a),b) ),
inference(resolve,[$cnf( $equal(add(c,multiply(X_52,b)),multiply(add(X_52,a),b)) )],[refute_0_1400,refute_0_1401]) ).
cnf(refute_0_1403,plain,
multiply(add(a,X_52),b) = multiply(add(X_52,a),b),
inference(resolve,[$cnf( $equal(multiply(add(a,X_52),b),add(c,multiply(X_52,b))) )],[refute_0_1397,refute_0_1402]) ).
cnf(refute_0_1404,plain,
( multiply(add(a,X_52),b) != multiply(add(X_52,a),b)
| multiply(add(X_52,a),b) = multiply(add(a,X_52),b) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(a,X_52),b))),bind(Y0,$fot(multiply(add(X_52,a),b)))]]) ).
cnf(refute_0_1405,plain,
multiply(add(X_52,a),b) = multiply(add(a,X_52),b),
inference(resolve,[$cnf( $equal(multiply(add(a,X_52),b),multiply(add(X_52,a),b)) )],[refute_0_1403,refute_0_1404]) ).
cnf(refute_0_1406,plain,
multiply(add(b,a),b) = multiply(add(a,b),b),
inference(subst,[],[refute_0_1405:[bind(X_52,$fot(b))]]) ).
cnf(refute_0_1407,plain,
( multiply(add(b,a),b) != multiply(add(a,b),b)
| multiply(add(b,a),b) != add(c,b)
| multiply(add(a,b),b) = add(c,b) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(b,a),b),add(c,b)) ),[0],$fot(multiply(add(a,b),b))]]) ).
cnf(refute_0_1408,plain,
( multiply(add(b,a),b) != add(c,b)
| multiply(add(a,b),b) = add(c,b) ),
inference(resolve,[$cnf( $equal(multiply(add(b,a),b),multiply(add(a,b),b)) )],[refute_0_1406,refute_0_1407]) ).
cnf(refute_0_1409,plain,
add(c,b) = add(b,c),
inference(subst,[],[refute_0_9:[bind(X,$fot(b)),bind(Y,$fot(c))]]) ).
cnf(refute_0_1410,plain,
( multiply(add(a,b),b) != add(c,b)
| add(c,b) != add(b,c)
| multiply(add(a,b),b) = add(b,c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,b),b),add(b,c)) ),[0],$fot(add(c,b))]]) ).
cnf(refute_0_1411,plain,
( multiply(add(a,b),b) != add(c,b)
| multiply(add(a,b),b) = add(b,c) ),
inference(resolve,[$cnf( $equal(add(c,b),add(b,c)) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
( multiply(add(b,a),b) != add(c,b)
| multiply(add(a,b),b) = add(b,c) ),
inference(resolve,[$cnf( $equal(multiply(add(a,b),b),add(c,b)) )],[refute_0_1408,refute_0_1411]) ).
cnf(refute_0_1413,plain,
multiply(add(a,b),b) = add(b,c),
inference(resolve,[$cnf( $equal(multiply(add(b,a),b),add(c,b)) )],[refute_0_1390,refute_0_1412]) ).
cnf(refute_0_1414,plain,
( multiply(add(a,b),multiply(b,Z)) != multiply(multiply(add(a,b),b),Z)
| multiply(add(a,b),b) != add(b,c)
| multiply(add(a,b),multiply(b,Z)) = multiply(add(b,c),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,b),multiply(b,Z)),multiply(multiply(add(a,b),b),Z)) ),[1,0],$fot(add(b,c))]]) ).
cnf(refute_0_1415,plain,
( multiply(add(a,b),multiply(b,Z)) != multiply(multiply(add(a,b),b),Z)
| multiply(add(a,b),multiply(b,Z)) = multiply(add(b,c),Z) ),
inference(resolve,[$cnf( $equal(multiply(add(a,b),b),add(b,c)) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
multiply(add(a,b),multiply(b,Z)) = multiply(add(b,c),Z),
inference(resolve,[$cnf( $equal(multiply(add(a,b),multiply(b,Z)),multiply(multiply(add(a,b),b),Z)) )],[refute_0_1378,refute_0_1415]) ).
cnf(refute_0_1417,plain,
multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) = multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))),
inference(subst,[],[refute_0_1416:[bind(Z,$fot(multiply(add(a,c),add(a,add(c,additive_inverse(b))))))]]) ).
cnf(refute_0_1418,plain,
( multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) != multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b)))))
| multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))) != multiply(add(b,c),add(a,c))
| multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) = multiply(add(b,c),add(a,c)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))))),bind(Y0,$fot(multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),bind(Z0,$fot(multiply(add(b,c),add(a,c))))]]) ).
cnf(refute_0_1419,plain,
( multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))) != multiply(add(b,c),add(a,c))
| multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) = multiply(add(b,c),add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))),multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) )],[refute_0_1417,refute_0_1418]) ).
cnf(refute_0_1420,plain,
multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) = multiply(add(b,c),add(a,c)),
inference(resolve,[$cnf( $equal(multiply(add(b,c),multiply(add(a,c),add(a,add(c,additive_inverse(b))))),multiply(add(b,c),add(a,c))) )],[refute_0_1377,refute_0_1419]) ).
cnf(refute_0_1421,plain,
multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),
introduced(tautology,[refl,[$fot(multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))))]]) ).
cnf(refute_0_1422,plain,
( multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) != multiply(add(b,c),add(a,c))
| multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))))
| multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,multiply(add(b,c),add(a,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))))) ),[1,1],$fot(multiply(add(b,c),add(a,c)))]]) ).
cnf(refute_0_1423,plain,
( multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))) != multiply(add(b,c),add(a,c))
| multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,multiply(add(b,c),add(a,c))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))))) )],[refute_0_1421,refute_0_1422]) ).
cnf(refute_0_1424,plain,
multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,multiply(add(b,c),add(a,c))),
inference(resolve,[$cnf( $equal(multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))),multiply(add(b,c),add(a,c))) )],[refute_0_1420,refute_0_1423]) ).
cnf(refute_0_1425,plain,
( multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(c,multiply(add(b,c),add(a,c)))
| multiply(c,multiply(add(b,c),add(a,c))) != multiply(additive_identity,a)
| multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(additive_identity,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))))),bind(Y0,$fot(multiply(c,multiply(add(b,c),add(a,c))))),bind(Z0,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1426,plain,
( multiply(c,multiply(add(b,c),add(a,c))) != multiply(additive_identity,a)
| multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(c,multiply(add(b,c),add(a,c)))) )],[refute_0_1424,refute_0_1425]) ).
cnf(refute_0_1427,plain,
multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,c),add(a,c))),multiply(additive_identity,a)) )],[refute_0_1373,refute_0_1426]) ).
cnf(refute_0_1428,plain,
multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),
inference(subst,[],[refute_0_1369:[bind(Z,$fot(multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),bind(X_39,$fot(a))]]) ).
cnf(refute_0_1429,plain,
( multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(additive_identity,a)
| multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))))
| multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(additive_identity,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))))),bind(Y0,$fot(multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))))),bind(Z0,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1430,plain,
( multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(additive_identity,a)
| multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b)))))))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,b),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(additive_identity,a)) )],[refute_0_1427,refute_0_1430]) ).
cnf(refute_0_1432,plain,
( multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(additive_identity,a)
| multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(c,add(a,c))
| multiply(additive_identity,a) = multiply(c,add(a,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(c,add(a,c))) ),[0],$fot(multiply(additive_identity,a))]]) ).
cnf(refute_0_1433,plain,
( multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(c,add(a,c))
| multiply(additive_identity,a) = multiply(c,add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(additive_identity,a)) )],[refute_0_1431,refute_0_1432]) ).
cnf(refute_0_1434,plain,
multiply(c,add(a,c)) = multiply(c,add(a,b)),
inference(subst,[],[refute_0_299:[bind(X_28,$fot(a))]]) ).
cnf(refute_0_1435,plain,
( multiply(additive_identity,a) != multiply(c,add(a,c))
| multiply(c,add(a,c)) != multiply(c,add(a,b))
| multiply(additive_identity,a) = multiply(c,add(a,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_identity,a),multiply(c,add(a,b))) ),[0],$fot(multiply(c,add(a,c)))]]) ).
cnf(refute_0_1436,plain,
( multiply(additive_identity,a) != multiply(c,add(a,c))
| multiply(additive_identity,a) = multiply(c,add(a,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,c)),multiply(c,add(a,b))) )],[refute_0_1434,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))) != multiply(c,add(a,c))
| multiply(additive_identity,a) = multiply(c,add(a,b)) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,a),multiply(c,add(a,c))) )],[refute_0_1433,refute_0_1436]) ).
cnf(refute_0_1438,plain,
multiply(additive_identity,a) = multiply(c,add(a,b)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),multiply(b,multiply(add(a,c),add(a,add(c,additive_inverse(b))))))),multiply(c,add(a,c))) )],[refute_0_1278,refute_0_1437]) ).
cnf(refute_0_1439,plain,
( multiply(additive_identity,a) != multiply(c,add(a,b))
| multiply(c,add(a,b)) = multiply(additive_identity,a) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(additive_identity,a))),bind(Y0,$fot(multiply(c,add(a,b))))]]) ).
cnf(refute_0_1440,plain,
multiply(c,add(a,b)) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(additive_identity,a),multiply(c,add(a,b))) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = add(multiply(c,Y),multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Z,$fot(add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))]]) ).
cnf(refute_0_1442,plain,
multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = add(c,multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),bind(X_29,$fot(c))]]) ).
cnf(refute_0_1443,plain,
( additive_identity != multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = additive_identity ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))))]]) ).
cnf(refute_0_1444,plain,
multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) )],[refute_0_1117,refute_0_1443]) ).
cnf(refute_0_1445,plain,
( multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) != add(c,multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != additive_identity
| multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = add(c,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)),add(c,multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1446,plain,
( multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) != add(c,multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = add(c,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),additive_identity) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = add(c,additive_identity),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)),add(c,multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1442,refute_0_1446]) ).
cnf(refute_0_1448,plain,
add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))) = add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(a)),bind(X_7,$fot(b)),bind(X_8,$fot(additive_inverse(multiply(b,multiply(additive_identity,a)))))]]) ).
cnf(refute_0_1449,plain,
add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),
introduced(tautology,[refl,[$fot(add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))]]) ).
cnf(refute_0_1450,plain,
( add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))) != add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))
| add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),[1,1],$fot(add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))]]) ).
cnf(refute_0_1451,plain,
( add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))) != add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))
| add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))) ),
inference(resolve,[$cnf( $equal(add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) )],[refute_0_1449,refute_0_1450]) ).
cnf(refute_0_1452,plain,
add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))),
inference(resolve,[$cnf( $equal(add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))) )],[refute_0_1448,refute_0_1451]) ).
cnf(refute_0_1453,plain,
multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
introduced(tautology,[refl,[$fot(multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))))]]) ).
cnf(refute_0_1454,plain,
( multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) ),[1,1],$fot(add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))))]]) ).
cnf(refute_0_1455,plain,
( add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1453,refute_0_1454]) ).
cnf(refute_0_1456,plain,
multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(resolve,[$cnf( $equal(add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) )],[refute_0_1452,refute_0_1455]) ).
cnf(refute_0_1457,plain,
multiply(c,add(Y,add(b,X_42))) = add(multiply(c,Y),multiply(c,add(b,X_42))),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Z,$fot(add(b,X_42)))]]) ).
cnf(refute_0_1458,plain,
multiply(c,add(b,X_42)) = multiply(c,add(X_42,b)),
inference(subst,[],[refute_0_745:[bind(X_29,$fot(X_42))]]) ).
cnf(refute_0_1459,plain,
( multiply(c,add(Y,add(b,X_42))) != add(multiply(c,Y),multiply(c,add(b,X_42)))
| multiply(c,add(b,X_42)) != multiply(c,add(X_42,b))
| multiply(c,add(Y,add(b,X_42))) = add(multiply(c,Y),multiply(c,add(X_42,b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(Y,add(b,X_42))),add(multiply(c,Y),multiply(c,add(b,X_42)))) ),[1,1],$fot(multiply(c,add(X_42,b)))]]) ).
cnf(refute_0_1460,plain,
( multiply(c,add(Y,add(b,X_42))) != add(multiply(c,Y),multiply(c,add(b,X_42)))
| multiply(c,add(Y,add(b,X_42))) = add(multiply(c,Y),multiply(c,add(X_42,b))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,X_42)),multiply(c,add(X_42,b))) )],[refute_0_1458,refute_0_1459]) ).
cnf(refute_0_1461,plain,
multiply(c,add(Y,add(b,X_42))) = add(multiply(c,Y),multiply(c,add(X_42,b))),
inference(resolve,[$cnf( $equal(multiply(c,add(Y,add(b,X_42))),add(multiply(c,Y),multiply(c,add(b,X_42)))) )],[refute_0_1457,refute_0_1460]) ).
cnf(refute_0_1462,plain,
add(multiply(c,Y),multiply(c,add(X_42,b))) = multiply(c,add(Y,add(X_42,b))),
inference(subst,[],[refute_0_90:[bind(X,$fot(c)),bind(Z,$fot(add(X_42,b)))]]) ).
cnf(refute_0_1463,plain,
( multiply(c,add(Y,add(b,X_42))) != add(multiply(c,Y),multiply(c,add(X_42,b)))
| add(multiply(c,Y),multiply(c,add(X_42,b))) != multiply(c,add(Y,add(X_42,b)))
| multiply(c,add(Y,add(b,X_42))) = multiply(c,add(Y,add(X_42,b))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(Y,add(b,X_42))),multiply(c,add(Y,add(X_42,b)))) ),[0],$fot(add(multiply(c,Y),multiply(c,add(X_42,b))))]]) ).
cnf(refute_0_1464,plain,
( multiply(c,add(Y,add(b,X_42))) != add(multiply(c,Y),multiply(c,add(X_42,b)))
| multiply(c,add(Y,add(b,X_42))) = multiply(c,add(Y,add(X_42,b))) ),
inference(resolve,[$cnf( $equal(add(multiply(c,Y),multiply(c,add(X_42,b))),multiply(c,add(Y,add(X_42,b)))) )],[refute_0_1462,refute_0_1463]) ).
cnf(refute_0_1465,plain,
multiply(c,add(Y,add(b,X_42))) = multiply(c,add(Y,add(X_42,b))),
inference(resolve,[$cnf( $equal(multiply(c,add(Y,add(b,X_42))),add(multiply(c,Y),multiply(c,add(X_42,b)))) )],[refute_0_1461,refute_0_1464]) ).
cnf(refute_0_1466,plain,
( multiply(c,add(Y,add(b,X_42))) != multiply(c,add(Y,add(X_42,b)))
| multiply(c,add(Y,add(X_42,b))) = multiply(c,add(Y,add(b,X_42))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(Y,add(b,X_42))))),bind(Y0,$fot(multiply(c,add(Y,add(X_42,b)))))]]) ).
cnf(refute_0_1467,plain,
multiply(c,add(Y,add(X_42,b))) = multiply(c,add(Y,add(b,X_42))),
inference(resolve,[$cnf( $equal(multiply(c,add(Y,add(b,X_42))),multiply(c,add(Y,add(X_42,b)))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
multiply(c,add(a,add(add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))),b))) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(subst,[],[refute_0_1467:[bind(Y,$fot(a)),bind(X_42,$fot(add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))]]) ).
cnf(refute_0_1469,plain,
multiply(c,add(b,add(X,Y))) = multiply(c,add(add(X,Y),b)),
inference(subst,[],[refute_0_745:[bind(X_29,$fot(add(X,Y)))]]) ).
cnf(refute_0_1470,plain,
add(X,add(Y,b)) = add(add(X,Y),b),
inference(subst,[],[associativity_for_addition:[bind(Z,$fot(b))]]) ).
cnf(refute_0_1471,plain,
( add(X,add(Y,b)) != add(add(X,Y),b)
| add(add(X,Y),b) = add(X,add(Y,b)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X,add(Y,b)))),bind(Y0,$fot(add(add(X,Y),b)))]]) ).
cnf(refute_0_1472,plain,
add(add(X,Y),b) = add(X,add(Y,b)),
inference(resolve,[$cnf( $equal(add(X,add(Y,b)),add(add(X,Y),b)) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
( multiply(c,add(b,add(X,Y))) != multiply(c,add(add(X,Y),b))
| add(add(X,Y),b) != add(X,add(Y,b))
| multiply(c,add(b,add(X,Y))) = multiply(c,add(X,add(Y,b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,add(X,Y))),multiply(c,add(add(X,Y),b))) ),[1,1],$fot(add(X,add(Y,b)))]]) ).
cnf(refute_0_1474,plain,
( multiply(c,add(b,add(X,Y))) != multiply(c,add(add(X,Y),b))
| multiply(c,add(b,add(X,Y))) = multiply(c,add(X,add(Y,b))) ),
inference(resolve,[$cnf( $equal(add(add(X,Y),b),add(X,add(Y,b))) )],[refute_0_1472,refute_0_1473]) ).
cnf(refute_0_1475,plain,
multiply(c,add(b,add(X,Y))) = multiply(c,add(X,add(Y,b))),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(X,Y))),multiply(c,add(add(X,Y),b))) )],[refute_0_1469,refute_0_1474]) ).
cnf(refute_0_1476,plain,
multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))),b))),
inference(subst,[],[refute_0_1475:[bind(X,$fot(a)),bind(Y,$fot(add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))]]) ).
cnf(refute_0_1477,plain,
( multiply(c,add(a,add(add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))),b))) != multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,add(add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))),b)))
| multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))))),bind(Y0,$fot(multiply(c,add(a,add(add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))),b))))),bind(Z0,$fot(multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))))]]) ).
cnf(refute_0_1478,plain,
( multiply(c,add(a,add(add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))),b))) != multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),multiply(c,add(a,add(add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))),b)))) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))),b))),multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1468,refute_0_1478]) ).
cnf(refute_0_1480,plain,
multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(subst,[],[refute_0_796:[bind(Z,$fot(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))]]) ).
cnf(refute_0_1481,plain,
( multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))))),bind(Y0,$fot(multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))))),bind(Z0,$fot(multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))))]]) ).
cnf(refute_0_1482,plain,
( multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1480,refute_0_1481]) ).
cnf(refute_0_1483,plain,
multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1479,refute_0_1482]) ).
cnf(refute_0_1484,plain,
multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(subst,[],[refute_0_821:[bind(X_47,$fot(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),bind(X_48,$fot(c))]]) ).
cnf(refute_0_1485,plain,
( multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) != multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)))),bind(Y0,$fot(multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))))),bind(Z0,$fot(multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))))]]) ).
cnf(refute_0_1486,plain,
( multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)),multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(resolve,[$cnf( $equal(multiply(c,add(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1483,refute_0_1486]) ).
cnf(refute_0_1488,plain,
( multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) != multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)))),bind(Y0,$fot(multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))))),bind(Z0,$fot(multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))))))]]) ).
cnf(refute_0_1489,plain,
( multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)),multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) = multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(b,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))),multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1456,refute_0_1489]) ).
cnf(refute_0_1491,plain,
( multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) != multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))))
| multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) != add(c,additive_identity)
| multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = add(c,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)),add(c,additive_identity)) ),[0],$fot(multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))))]]) ).
cnf(refute_0_1492,plain,
( multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) != add(c,additive_identity)
| multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = add(c,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)),multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a)))))))) )],[refute_0_1490,refute_0_1491]) ).
cnf(refute_0_1493,plain,
( multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != add(c,additive_identity)
| add(c,additive_identity) != c
| multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = c ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))),c) ),[0],$fot(add(c,additive_identity))]]) ).
cnf(refute_0_1494,plain,
( multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != add(c,additive_identity)
| multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = c ),
inference(resolve,[$cnf( $equal(add(c,additive_identity),c) )],[refute_0_261,refute_0_1493]) ).
cnf(refute_0_1495,plain,
( multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)) != add(c,additive_identity)
| multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = c ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))),add(c,additive_identity)) )],[refute_0_1492,refute_0_1494]) ).
cnf(refute_0_1496,plain,
multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = c,
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c)),add(c,additive_identity)) )],[refute_0_1447,refute_0_1495]) ).
cnf(refute_0_1497,plain,
multiply(a,add(multiply(b,X_16),X_29)) = add(multiply(a,multiply(b,X_16)),multiply(a,X_29)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(multiply(b,X_16))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_1498,plain,
( multiply(a,multiply(b,X_16)) != multiply(c,X_16)
| multiply(a,add(multiply(b,X_16),X_29)) != add(multiply(a,multiply(b,X_16)),multiply(a,X_29))
| multiply(a,add(multiply(b,X_16),X_29)) = add(multiply(c,X_16),multiply(a,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,X_16),X_29)),add(multiply(a,multiply(b,X_16)),multiply(a,X_29))) ),[1,0],$fot(multiply(c,X_16))]]) ).
cnf(refute_0_1499,plain,
( multiply(a,add(multiply(b,X_16),X_29)) != add(multiply(a,multiply(b,X_16)),multiply(a,X_29))
| multiply(a,add(multiply(b,X_16),X_29)) = add(multiply(c,X_16),multiply(a,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,X_16)),multiply(c,X_16)) )],[refute_0_27,refute_0_1498]) ).
cnf(refute_0_1500,plain,
multiply(a,add(multiply(b,X_16),X_29)) = add(multiply(c,X_16),multiply(a,X_29)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,X_16),X_29)),add(multiply(a,multiply(b,X_16)),multiply(a,X_29))) )],[refute_0_1497,refute_0_1499]) ).
cnf(refute_0_1501,plain,
multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) = add(multiply(c,X_16),multiply(a,add(b,multiply(additive_identity,a)))),
inference(subst,[],[refute_0_1500:[bind(X_29,$fot(add(b,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1502,plain,
multiply(a,multiply(a,multiply(b,X_16))) = multiply(a,multiply(b,X_16)),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(a)),bind(X_16,$fot(multiply(b,X_16)))]]) ).
cnf(refute_0_1503,plain,
( multiply(a,multiply(a,multiply(b,X_16))) != multiply(a,multiply(b,X_16))
| multiply(a,multiply(b,X_16)) != multiply(c,X_16)
| multiply(a,multiply(c,X_16)) = multiply(a,multiply(b,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(a,multiply(b,X_16))),multiply(a,multiply(b,X_16))) ),[0,1],$fot(multiply(c,X_16))]]) ).
cnf(refute_0_1504,plain,
( multiply(a,multiply(a,multiply(b,X_16))) != multiply(a,multiply(b,X_16))
| multiply(a,multiply(c,X_16)) = multiply(a,multiply(b,X_16)) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,X_16)),multiply(c,X_16)) )],[refute_0_27,refute_0_1503]) ).
cnf(refute_0_1505,plain,
multiply(a,multiply(c,X_16)) = multiply(a,multiply(b,X_16)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(a,multiply(b,X_16))),multiply(a,multiply(b,X_16))) )],[refute_0_1502,refute_0_1504]) ).
cnf(refute_0_1506,plain,
( multiply(a,multiply(b,X_16)) != multiply(c,X_16)
| multiply(a,multiply(c,X_16)) != multiply(a,multiply(b,X_16))
| multiply(a,multiply(c,X_16)) = multiply(c,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(c,X_16)),multiply(a,multiply(b,X_16))) ),[1],$fot(multiply(c,X_16))]]) ).
cnf(refute_0_1507,plain,
( multiply(a,multiply(c,X_16)) != multiply(a,multiply(b,X_16))
| multiply(a,multiply(c,X_16)) = multiply(c,X_16) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,X_16)),multiply(c,X_16)) )],[refute_0_27,refute_0_1506]) ).
cnf(refute_0_1508,plain,
multiply(a,multiply(c,X_16)) = multiply(c,X_16),
inference(resolve,[$cnf( $equal(multiply(a,multiply(c,X_16)),multiply(a,multiply(b,X_16))) )],[refute_0_1505,refute_0_1507]) ).
cnf(refute_0_1509,plain,
multiply(a,multiply(c,add(a,add(b,additive_inverse(c))))) = multiply(c,add(a,add(b,additive_inverse(c)))),
inference(subst,[],[refute_0_1508:[bind(X_16,$fot(add(a,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_1510,plain,
multiply(c,add(add(a,additive_inverse(c)),c)) = add(c,multiply(c,add(a,additive_inverse(c)))),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(add(a,additive_inverse(c)))),bind(X_29,$fot(c))]]) ).
cnf(refute_0_1511,plain,
( multiply(c,add(add(a,additive_inverse(c)),c)) != add(c,multiply(c,add(a,additive_inverse(c))))
| multiply(c,add(a,additive_inverse(c))) != multiply(additive_identity,a)
| multiply(c,add(add(a,additive_inverse(c)),c)) = add(c,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,additive_inverse(c)),c)),add(c,multiply(c,add(a,additive_inverse(c))))) ),[1,1],$fot(multiply(additive_identity,a))]]) ).
cnf(refute_0_1512,plain,
( multiply(c,add(add(a,additive_inverse(c)),c)) != add(c,multiply(c,add(a,additive_inverse(c))))
| multiply(c,add(add(a,additive_inverse(c)),c)) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,additive_inverse(c))),multiply(additive_identity,a)) )],[refute_0_1032,refute_0_1511]) ).
cnf(refute_0_1513,plain,
multiply(c,add(add(a,additive_inverse(c)),c)) = add(c,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,additive_inverse(c)),c)),add(c,multiply(c,add(a,additive_inverse(c))))) )],[refute_0_1510,refute_0_1512]) ).
cnf(refute_0_1514,plain,
multiply(c,add(a,add(additive_inverse(c),b))) = multiply(c,add(a,add(b,additive_inverse(c)))),
inference(subst,[],[refute_0_1467:[bind(Y,$fot(a)),bind(X_42,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1515,plain,
multiply(c,add(b,add(a,additive_inverse(c)))) = multiply(c,add(a,add(additive_inverse(c),b))),
inference(subst,[],[refute_0_1475:[bind(X,$fot(a)),bind(Y,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1516,plain,
( multiply(c,add(a,add(additive_inverse(c),b))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(b,add(a,additive_inverse(c)))) != multiply(c,add(a,add(additive_inverse(c),b)))
| multiply(c,add(b,add(a,additive_inverse(c)))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(b,add(a,additive_inverse(c)))))),bind(Y0,$fot(multiply(c,add(a,add(additive_inverse(c),b))))),bind(Z0,$fot(multiply(c,add(a,add(b,additive_inverse(c))))))]]) ).
cnf(refute_0_1517,plain,
( multiply(c,add(a,add(additive_inverse(c),b))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(b,add(a,additive_inverse(c)))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(a,additive_inverse(c)))),multiply(c,add(a,add(additive_inverse(c),b)))) )],[refute_0_1515,refute_0_1516]) ).
cnf(refute_0_1518,plain,
multiply(c,add(b,add(a,additive_inverse(c)))) = multiply(c,add(a,add(b,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(additive_inverse(c),b))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1514,refute_0_1517]) ).
cnf(refute_0_1519,plain,
multiply(c,add(c,add(a,additive_inverse(c)))) = multiply(c,add(b,add(a,additive_inverse(c)))),
inference(subst,[],[refute_0_796:[bind(Z,$fot(add(a,additive_inverse(c))))]]) ).
cnf(refute_0_1520,plain,
( multiply(c,add(b,add(a,additive_inverse(c)))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(c,add(a,additive_inverse(c)))) != multiply(c,add(b,add(a,additive_inverse(c))))
| multiply(c,add(c,add(a,additive_inverse(c)))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(c,add(a,additive_inverse(c)))))),bind(Y0,$fot(multiply(c,add(b,add(a,additive_inverse(c)))))),bind(Z0,$fot(multiply(c,add(a,add(b,additive_inverse(c))))))]]) ).
cnf(refute_0_1521,plain,
( multiply(c,add(b,add(a,additive_inverse(c)))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(c,add(a,additive_inverse(c)))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(c,add(a,additive_inverse(c)))),multiply(c,add(b,add(a,additive_inverse(c))))) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
multiply(c,add(c,add(a,additive_inverse(c)))) = multiply(c,add(a,add(b,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(a,additive_inverse(c)))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1518,refute_0_1521]) ).
cnf(refute_0_1523,plain,
multiply(c,add(add(a,additive_inverse(c)),c)) = multiply(c,add(c,add(a,additive_inverse(c)))),
inference(subst,[],[refute_0_821:[bind(X_47,$fot(add(a,additive_inverse(c)))),bind(X_48,$fot(c))]]) ).
cnf(refute_0_1524,plain,
( multiply(c,add(add(a,additive_inverse(c)),c)) != multiply(c,add(c,add(a,additive_inverse(c))))
| multiply(c,add(c,add(a,additive_inverse(c)))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(add(a,additive_inverse(c)),c)) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(add(a,additive_inverse(c)),c)))),bind(Y0,$fot(multiply(c,add(c,add(a,additive_inverse(c)))))),bind(Z0,$fot(multiply(c,add(a,add(b,additive_inverse(c))))))]]) ).
cnf(refute_0_1525,plain,
( multiply(c,add(c,add(a,additive_inverse(c)))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(add(a,additive_inverse(c)),c)) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,additive_inverse(c)),c)),multiply(c,add(c,add(a,additive_inverse(c))))) )],[refute_0_1523,refute_0_1524]) ).
cnf(refute_0_1526,plain,
multiply(c,add(add(a,additive_inverse(c)),c)) = multiply(c,add(a,add(b,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(multiply(c,add(c,add(a,additive_inverse(c)))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1522,refute_0_1525]) ).
cnf(refute_0_1527,plain,
( multiply(c,add(add(a,additive_inverse(c)),c)) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(add(a,additive_inverse(c)),c)) != add(c,multiply(additive_identity,a))
| multiply(c,add(a,add(b,additive_inverse(c)))) = add(c,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,additive_inverse(c)),c)),add(c,multiply(additive_identity,a))) ),[0],$fot(multiply(c,add(a,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_1528,plain,
( multiply(c,add(add(a,additive_inverse(c)),c)) != add(c,multiply(additive_identity,a))
| multiply(c,add(a,add(b,additive_inverse(c)))) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,additive_inverse(c)),c)),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1526,refute_0_1527]) ).
cnf(refute_0_1529,plain,
multiply(c,add(a,add(b,additive_inverse(c)))) = add(c,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,additive_inverse(c)),c)),add(c,multiply(additive_identity,a))) )],[refute_0_1513,refute_0_1528]) ).
cnf(refute_0_1530,plain,
( multiply(a,multiply(c,add(a,add(b,additive_inverse(c))))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(a,add(b,additive_inverse(c)))) != add(c,multiply(additive_identity,a))
| multiply(a,add(c,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(c,add(a,add(b,additive_inverse(c))))),multiply(c,add(a,add(b,additive_inverse(c))))) ),[0,1],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1531,plain,
( multiply(a,multiply(c,add(a,add(b,additive_inverse(c))))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(a,add(c,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(b,additive_inverse(c)))),add(c,multiply(additive_identity,a))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
multiply(a,add(c,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(multiply(a,multiply(c,add(a,add(b,additive_inverse(c))))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1509,refute_0_1531]) ).
cnf(refute_0_1533,plain,
multiply(a,add(c,multiply(additive_identity,a))) = multiply(a,add(b,multiply(additive_identity,a))),
inference(subst,[],[refute_0_506:[bind(X_40,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1534,plain,
( multiply(a,add(c,multiply(additive_identity,a))) != multiply(a,add(b,multiply(additive_identity,a)))
| multiply(a,add(c,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(a,add(b,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(c,multiply(additive_identity,a))),multiply(c,add(a,add(b,additive_inverse(c))))) ),[0],$fot(multiply(a,add(b,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1535,plain,
( multiply(a,add(c,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(a,add(b,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(c,multiply(additive_identity,a))),multiply(a,add(b,multiply(additive_identity,a)))) )],[refute_0_1533,refute_0_1534]) ).
cnf(refute_0_1536,plain,
( multiply(a,add(b,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(a,add(b,additive_inverse(c)))) != add(c,multiply(additive_identity,a))
| multiply(a,add(b,multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) ),[0],$fot(multiply(c,add(a,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_1537,plain,
( multiply(a,add(b,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(a,add(b,multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(b,additive_inverse(c)))),add(c,multiply(additive_identity,a))) )],[refute_0_1529,refute_0_1536]) ).
cnf(refute_0_1538,plain,
( multiply(a,add(c,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(a,add(b,multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(additive_identity,a))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1535,refute_0_1537]) ).
cnf(refute_0_1539,plain,
multiply(a,add(b,multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(a,add(c,multiply(additive_identity,a))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1532,refute_0_1538]) ).
cnf(refute_0_1540,plain,
( multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) != add(multiply(c,X_16),multiply(a,add(b,multiply(additive_identity,a))))
| multiply(a,add(b,multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) = add(multiply(c,X_16),add(c,multiply(additive_identity,a))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))),add(multiply(c,X_16),multiply(a,add(b,multiply(additive_identity,a))))) ),[1,1],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1541,plain,
( multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) != add(multiply(c,X_16),multiply(a,add(b,multiply(additive_identity,a))))
| multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) = add(multiply(c,X_16),add(c,multiply(additive_identity,a))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) = add(multiply(c,X_16),add(c,multiply(additive_identity,a))),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))),add(multiply(c,X_16),multiply(a,add(b,multiply(additive_identity,a))))) )],[refute_0_1501,refute_0_1541]) ).
cnf(refute_0_1543,plain,
add(b,add(multiply(b,X_16),multiply(additive_identity,a))) = add(b,add(multiply(additive_identity,a),multiply(b,X_16))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(b)),bind(X_7,$fot(multiply(b,X_16))),bind(X_8,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1544,plain,
multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))) = multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))),
introduced(tautology,[refl,[$fot(multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))))]]) ).
cnf(refute_0_1545,plain,
( multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))) != multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a))))
| add(b,add(multiply(b,X_16),multiply(additive_identity,a))) != add(b,add(multiply(additive_identity,a),multiply(b,X_16)))
| multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))) = multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))),multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a))))) ),[1,1],$fot(add(b,add(multiply(additive_identity,a),multiply(b,X_16))))]]) ).
cnf(refute_0_1546,plain,
( add(b,add(multiply(b,X_16),multiply(additive_identity,a))) != add(b,add(multiply(additive_identity,a),multiply(b,X_16)))
| multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))) = multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))),multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a))))) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))) = multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),
inference(resolve,[$cnf( $equal(add(b,add(multiply(b,X_16),multiply(additive_identity,a))),add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) )],[refute_0_1543,refute_0_1546]) ).
cnf(refute_0_1548,plain,
multiply(a,add(add(X_40,b),Z)) = add(multiply(a,add(X_40,b)),multiply(a,Z)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(add(X_40,b)))]]) ).
cnf(refute_0_1549,plain,
( multiply(a,add(X_40,b)) != multiply(a,add(c,X_40))
| multiply(a,add(add(X_40,b),Z)) != add(multiply(a,add(X_40,b)),multiply(a,Z))
| multiply(a,add(add(X_40,b),Z)) = add(multiply(a,add(c,X_40)),multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(X_40,b),Z)),add(multiply(a,add(X_40,b)),multiply(a,Z))) ),[1,0],$fot(multiply(a,add(c,X_40)))]]) ).
cnf(refute_0_1550,plain,
( multiply(a,add(add(X_40,b),Z)) != add(multiply(a,add(X_40,b)),multiply(a,Z))
| multiply(a,add(add(X_40,b),Z)) = add(multiply(a,add(c,X_40)),multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(X_40,b)),multiply(a,add(c,X_40))) )],[refute_0_191,refute_0_1549]) ).
cnf(refute_0_1551,plain,
multiply(a,add(add(X_40,b),Z)) = add(multiply(a,add(c,X_40)),multiply(a,Z)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(X_40,b),Z)),add(multiply(a,add(X_40,b)),multiply(a,Z))) )],[refute_0_1548,refute_0_1550]) ).
cnf(refute_0_1552,plain,
add(add(X_40,b),Z) = add(X_40,add(b,Z)),
inference(subst,[],[refute_0_205:[bind(X,$fot(X_40)),bind(Y,$fot(b))]]) ).
cnf(refute_0_1553,plain,
multiply(a,add(add(X_40,b),Z)) = multiply(a,add(add(X_40,b),Z)),
introduced(tautology,[refl,[$fot(multiply(a,add(add(X_40,b),Z)))]]) ).
cnf(refute_0_1554,plain,
( multiply(a,add(add(X_40,b),Z)) != multiply(a,add(add(X_40,b),Z))
| add(add(X_40,b),Z) != add(X_40,add(b,Z))
| multiply(a,add(add(X_40,b),Z)) = multiply(a,add(X_40,add(b,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(X_40,b),Z)),multiply(a,add(add(X_40,b),Z))) ),[1,1],$fot(add(X_40,add(b,Z)))]]) ).
cnf(refute_0_1555,plain,
( add(add(X_40,b),Z) != add(X_40,add(b,Z))
| multiply(a,add(add(X_40,b),Z)) = multiply(a,add(X_40,add(b,Z))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(X_40,b),Z)),multiply(a,add(add(X_40,b),Z))) )],[refute_0_1553,refute_0_1554]) ).
cnf(refute_0_1556,plain,
multiply(a,add(add(X_40,b),Z)) = multiply(a,add(X_40,add(b,Z))),
inference(resolve,[$cnf( $equal(add(add(X_40,b),Z),add(X_40,add(b,Z))) )],[refute_0_1552,refute_0_1555]) ).
cnf(refute_0_1557,plain,
( multiply(a,add(add(X_40,b),Z)) != multiply(a,add(X_40,add(b,Z)))
| multiply(a,add(add(X_40,b),Z)) != add(multiply(a,add(c,X_40)),multiply(a,Z))
| multiply(a,add(X_40,add(b,Z))) = add(multiply(a,add(c,X_40)),multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(X_40,b),Z)),add(multiply(a,add(c,X_40)),multiply(a,Z))) ),[0],$fot(multiply(a,add(X_40,add(b,Z))))]]) ).
cnf(refute_0_1558,plain,
( multiply(a,add(add(X_40,b),Z)) != add(multiply(a,add(c,X_40)),multiply(a,Z))
| multiply(a,add(X_40,add(b,Z))) = add(multiply(a,add(c,X_40)),multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(X_40,b),Z)),multiply(a,add(X_40,add(b,Z)))) )],[refute_0_1556,refute_0_1557]) ).
cnf(refute_0_1559,plain,
multiply(a,add(add(c,X_40),Z)) = add(multiply(a,add(c,X_40)),multiply(a,Z)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(add(c,X_40)))]]) ).
cnf(refute_0_1560,plain,
( multiply(a,add(add(c,X_40),Z)) != add(multiply(a,add(c,X_40)),multiply(a,Z))
| multiply(a,add(c,X_40)) != multiply(a,add(X_40,b))
| multiply(a,add(add(c,X_40),Z)) = add(multiply(a,add(X_40,b)),multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),add(multiply(a,add(c,X_40)),multiply(a,Z))) ),[1,0],$fot(multiply(a,add(X_40,b)))]]) ).
cnf(refute_0_1561,plain,
( multiply(a,add(add(c,X_40),Z)) != add(multiply(a,add(c,X_40)),multiply(a,Z))
| multiply(a,add(add(c,X_40),Z)) = add(multiply(a,add(X_40,b)),multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(c,X_40)),multiply(a,add(X_40,b))) )],[refute_0_189,refute_0_1560]) ).
cnf(refute_0_1562,plain,
multiply(a,add(add(c,X_40),Z)) = add(multiply(a,add(X_40,b)),multiply(a,Z)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),add(multiply(a,add(c,X_40)),multiply(a,Z))) )],[refute_0_1559,refute_0_1561]) ).
cnf(refute_0_1563,plain,
add(add(c,X_40),Z) = add(c,add(X_40,Z)),
inference(subst,[],[refute_0_205:[bind(X,$fot(c)),bind(Y,$fot(X_40))]]) ).
cnf(refute_0_1564,plain,
multiply(a,add(add(c,X_40),Z)) = multiply(a,add(add(c,X_40),Z)),
introduced(tautology,[refl,[$fot(multiply(a,add(add(c,X_40),Z)))]]) ).
cnf(refute_0_1565,plain,
( multiply(a,add(add(c,X_40),Z)) != multiply(a,add(add(c,X_40),Z))
| add(add(c,X_40),Z) != add(c,add(X_40,Z))
| multiply(a,add(add(c,X_40),Z)) = multiply(a,add(c,add(X_40,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),multiply(a,add(add(c,X_40),Z))) ),[1,1],$fot(add(c,add(X_40,Z)))]]) ).
cnf(refute_0_1566,plain,
( add(add(c,X_40),Z) != add(c,add(X_40,Z))
| multiply(a,add(add(c,X_40),Z)) = multiply(a,add(c,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),multiply(a,add(add(c,X_40),Z))) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
multiply(a,add(add(c,X_40),Z)) = multiply(a,add(c,add(X_40,Z))),
inference(resolve,[$cnf( $equal(add(add(c,X_40),Z),add(c,add(X_40,Z))) )],[refute_0_1563,refute_0_1566]) ).
cnf(refute_0_1568,plain,
( multiply(a,add(add(c,X_40),Z)) != multiply(a,add(c,add(X_40,Z)))
| multiply(a,add(add(c,X_40),Z)) != add(multiply(a,add(X_40,b)),multiply(a,Z))
| multiply(a,add(c,add(X_40,Z))) = add(multiply(a,add(X_40,b)),multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),add(multiply(a,add(X_40,b)),multiply(a,Z))) ),[0],$fot(multiply(a,add(c,add(X_40,Z))))]]) ).
cnf(refute_0_1569,plain,
( multiply(a,add(add(c,X_40),Z)) != add(multiply(a,add(X_40,b)),multiply(a,Z))
| multiply(a,add(c,add(X_40,Z))) = add(multiply(a,add(X_40,b)),multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),multiply(a,add(c,add(X_40,Z)))) )],[refute_0_1567,refute_0_1568]) ).
cnf(refute_0_1570,plain,
multiply(a,add(add(X_40,Z),b)) = multiply(a,add(b,add(X_40,Z))),
inference(subst,[],[refute_0_478:[bind(X_38,$fot(add(X_40,Z)))]]) ).
cnf(refute_0_1571,plain,
add(c,multiply(a,add(X_40,Z))) = multiply(a,add(add(X_40,Z),b)),
inference(subst,[],[refute_0_184:[bind(X_28,$fot(add(X_40,Z)))]]) ).
cnf(refute_0_1572,plain,
( multiply(a,add(add(X_40,Z),b)) != multiply(a,add(b,add(X_40,Z)))
| add(c,multiply(a,add(X_40,Z))) != multiply(a,add(add(X_40,Z),b))
| add(c,multiply(a,add(X_40,Z))) = multiply(a,add(b,add(X_40,Z))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(a,add(X_40,Z))))),bind(Y0,$fot(multiply(a,add(add(X_40,Z),b)))),bind(Z0,$fot(multiply(a,add(b,add(X_40,Z)))))]]) ).
cnf(refute_0_1573,plain,
( multiply(a,add(add(X_40,Z),b)) != multiply(a,add(b,add(X_40,Z)))
| add(c,multiply(a,add(X_40,Z))) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(add(c,multiply(a,add(X_40,Z))),multiply(a,add(add(X_40,Z),b))) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
add(c,multiply(a,add(X_40,Z))) = multiply(a,add(b,add(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(X_40,Z),b)),multiply(a,add(b,add(X_40,Z)))) )],[refute_0_1570,refute_0_1573]) ).
cnf(refute_0_1575,plain,
add(multiply(a,X_40),multiply(a,Z)) = multiply(a,add(X_40,Z)),
inference(subst,[],[refute_0_90:[bind(X,$fot(a)),bind(Y,$fot(X_40))]]) ).
cnf(refute_0_1576,plain,
add(c,add(multiply(a,X_40),multiply(a,Z))) = add(c,add(multiply(a,X_40),multiply(a,Z))),
introduced(tautology,[refl,[$fot(add(c,add(multiply(a,X_40),multiply(a,Z))))]]) ).
cnf(refute_0_1577,plain,
( add(multiply(a,X_40),multiply(a,Z)) != multiply(a,add(X_40,Z))
| add(c,add(multiply(a,X_40),multiply(a,Z))) != add(c,add(multiply(a,X_40),multiply(a,Z)))
| add(c,add(multiply(a,X_40),multiply(a,Z))) = add(c,multiply(a,add(X_40,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,X_40),multiply(a,Z))),add(c,add(multiply(a,X_40),multiply(a,Z)))) ),[1,1],$fot(multiply(a,add(X_40,Z)))]]) ).
cnf(refute_0_1578,plain,
( add(multiply(a,X_40),multiply(a,Z)) != multiply(a,add(X_40,Z))
| add(c,add(multiply(a,X_40),multiply(a,Z))) = add(c,multiply(a,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,X_40),multiply(a,Z))),add(c,add(multiply(a,X_40),multiply(a,Z)))) )],[refute_0_1576,refute_0_1577]) ).
cnf(refute_0_1579,plain,
add(c,add(multiply(a,X_40),multiply(a,Z))) = add(c,multiply(a,add(X_40,Z))),
inference(resolve,[$cnf( $equal(add(multiply(a,X_40),multiply(a,Z)),multiply(a,add(X_40,Z))) )],[refute_0_1575,refute_0_1578]) ).
cnf(refute_0_1580,plain,
( add(c,multiply(a,add(X_40,Z))) != multiply(a,add(b,add(X_40,Z)))
| add(c,add(multiply(a,X_40),multiply(a,Z))) != add(c,multiply(a,add(X_40,Z)))
| add(c,add(multiply(a,X_40),multiply(a,Z))) = multiply(a,add(b,add(X_40,Z))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(multiply(a,X_40),multiply(a,Z))))),bind(Y0,$fot(add(c,multiply(a,add(X_40,Z))))),bind(Z0,$fot(multiply(a,add(b,add(X_40,Z)))))]]) ).
cnf(refute_0_1581,plain,
( add(c,multiply(a,add(X_40,Z))) != multiply(a,add(b,add(X_40,Z)))
| add(c,add(multiply(a,X_40),multiply(a,Z))) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,X_40),multiply(a,Z))),add(c,multiply(a,add(X_40,Z)))) )],[refute_0_1579,refute_0_1580]) ).
cnf(refute_0_1582,plain,
add(c,add(multiply(a,X_40),multiply(a,Z))) = multiply(a,add(b,add(X_40,Z))),
inference(resolve,[$cnf( $equal(add(c,multiply(a,add(X_40,Z))),multiply(a,add(b,add(X_40,Z)))) )],[refute_0_1574,refute_0_1581]) ).
cnf(refute_0_1583,plain,
add(c,add(multiply(a,X_30),Z)) = add(add(c,multiply(a,X_30)),Z),
inference(subst,[],[associativity_for_addition:[bind(X,$fot(c)),bind(Y,$fot(multiply(a,X_30)))]]) ).
cnf(refute_0_1584,plain,
( add(c,multiply(a,X_30)) != multiply(a,add(X_30,b))
| add(c,add(multiply(a,X_30),Z)) != add(add(c,multiply(a,X_30)),Z)
| add(c,add(multiply(a,X_30),Z)) = add(multiply(a,add(X_30,b)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(a,X_30),Z)),add(add(c,multiply(a,X_30)),Z)) ),[1,0],$fot(multiply(a,add(X_30,b)))]]) ).
cnf(refute_0_1585,plain,
( add(c,add(multiply(a,X_30),Z)) != add(add(c,multiply(a,X_30)),Z)
| add(c,add(multiply(a,X_30),Z)) = add(multiply(a,add(X_30,b)),Z) ),
inference(resolve,[$cnf( $equal(add(c,multiply(a,X_30)),multiply(a,add(X_30,b))) )],[refute_0_162,refute_0_1584]) ).
cnf(refute_0_1586,plain,
add(c,add(multiply(a,X_30),Z)) = add(multiply(a,add(X_30,b)),Z),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,X_30),Z)),add(add(c,multiply(a,X_30)),Z)) )],[refute_0_1583,refute_0_1585]) ).
cnf(refute_0_1587,plain,
( add(c,add(multiply(a,X_30),Z)) != add(multiply(a,add(X_30,b)),Z)
| add(multiply(a,add(X_30,b)),Z) = add(c,add(multiply(a,X_30),Z)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(c,add(multiply(a,X_30),Z)))),bind(Y0,$fot(add(multiply(a,add(X_30,b)),Z)))]]) ).
cnf(refute_0_1588,plain,
add(multiply(a,add(X_30,b)),Z) = add(c,add(multiply(a,X_30),Z)),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,X_30),Z)),add(multiply(a,add(X_30,b)),Z)) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
add(multiply(a,add(X_40,b)),multiply(a,Z)) = add(c,add(multiply(a,X_40),multiply(a,Z))),
inference(subst,[],[refute_0_1588:[bind(Z,$fot(multiply(a,Z))),bind(X_30,$fot(X_40))]]) ).
cnf(refute_0_1590,plain,
( add(multiply(a,add(X_40,b)),multiply(a,Z)) != add(c,add(multiply(a,X_40),multiply(a,Z)))
| add(c,add(multiply(a,X_40),multiply(a,Z))) != multiply(a,add(b,add(X_40,Z)))
| add(multiply(a,add(X_40,b)),multiply(a,Z)) = multiply(a,add(b,add(X_40,Z))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,add(X_40,b)),multiply(a,Z)))),bind(Y0,$fot(add(c,add(multiply(a,X_40),multiply(a,Z))))),bind(Z0,$fot(multiply(a,add(b,add(X_40,Z)))))]]) ).
cnf(refute_0_1591,plain,
( add(c,add(multiply(a,X_40),multiply(a,Z))) != multiply(a,add(b,add(X_40,Z)))
| add(multiply(a,add(X_40,b)),multiply(a,Z)) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,add(X_40,b)),multiply(a,Z)),add(c,add(multiply(a,X_40),multiply(a,Z)))) )],[refute_0_1589,refute_0_1590]) ).
cnf(refute_0_1592,plain,
add(multiply(a,add(X_40,b)),multiply(a,Z)) = multiply(a,add(b,add(X_40,Z))),
inference(resolve,[$cnf( $equal(add(c,add(multiply(a,X_40),multiply(a,Z))),multiply(a,add(b,add(X_40,Z)))) )],[refute_0_1582,refute_0_1591]) ).
cnf(refute_0_1593,plain,
( multiply(a,add(c,add(X_40,Z))) != add(multiply(a,add(X_40,b)),multiply(a,Z))
| add(multiply(a,add(X_40,b)),multiply(a,Z)) != multiply(a,add(b,add(X_40,Z)))
| multiply(a,add(c,add(X_40,Z))) = multiply(a,add(b,add(X_40,Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(c,add(X_40,Z))),multiply(a,add(b,add(X_40,Z)))) ),[0],$fot(add(multiply(a,add(X_40,b)),multiply(a,Z)))]]) ).
cnf(refute_0_1594,plain,
( multiply(a,add(c,add(X_40,Z))) != add(multiply(a,add(X_40,b)),multiply(a,Z))
| multiply(a,add(c,add(X_40,Z))) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,add(X_40,b)),multiply(a,Z)),multiply(a,add(b,add(X_40,Z)))) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
( multiply(a,add(add(c,X_40),Z)) != add(multiply(a,add(X_40,b)),multiply(a,Z))
| multiply(a,add(c,add(X_40,Z))) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(c,add(X_40,Z))),add(multiply(a,add(X_40,b)),multiply(a,Z))) )],[refute_0_1569,refute_0_1594]) ).
cnf(refute_0_1596,plain,
multiply(a,add(c,add(X_40,Z))) = multiply(a,add(b,add(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),add(multiply(a,add(X_40,b)),multiply(a,Z))) )],[refute_0_1562,refute_0_1595]) ).
cnf(refute_0_1597,plain,
( multiply(a,add(add(c,X_40),Z)) != multiply(a,add(c,add(X_40,Z)))
| multiply(a,add(c,add(X_40,Z))) != multiply(a,add(b,add(X_40,Z)))
| multiply(a,add(add(c,X_40),Z)) = multiply(a,add(b,add(X_40,Z))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(add(c,X_40),Z)))),bind(Y0,$fot(multiply(a,add(c,add(X_40,Z))))),bind(Z0,$fot(multiply(a,add(b,add(X_40,Z)))))]]) ).
cnf(refute_0_1598,plain,
( multiply(a,add(c,add(X_40,Z))) != multiply(a,add(b,add(X_40,Z)))
| multiply(a,add(add(c,X_40),Z)) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),multiply(a,add(c,add(X_40,Z)))) )],[refute_0_1567,refute_0_1597]) ).
cnf(refute_0_1599,plain,
multiply(a,add(add(c,X_40),Z)) = multiply(a,add(b,add(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(a,add(c,add(X_40,Z))),multiply(a,add(b,add(X_40,Z)))) )],[refute_0_1596,refute_0_1598]) ).
cnf(refute_0_1600,plain,
add(multiply(a,add(c,X_40)),multiply(a,Z)) = multiply(a,add(add(c,X_40),Z)),
inference(subst,[],[refute_0_90:[bind(X,$fot(a)),bind(Y,$fot(add(c,X_40)))]]) ).
cnf(refute_0_1601,plain,
( multiply(a,add(add(c,X_40),Z)) != multiply(a,add(b,add(X_40,Z)))
| add(multiply(a,add(c,X_40)),multiply(a,Z)) != multiply(a,add(add(c,X_40),Z))
| add(multiply(a,add(c,X_40)),multiply(a,Z)) = multiply(a,add(b,add(X_40,Z))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(a,add(c,X_40)),multiply(a,Z)))),bind(Y0,$fot(multiply(a,add(add(c,X_40),Z)))),bind(Z0,$fot(multiply(a,add(b,add(X_40,Z)))))]]) ).
cnf(refute_0_1602,plain,
( multiply(a,add(add(c,X_40),Z)) != multiply(a,add(b,add(X_40,Z)))
| add(multiply(a,add(c,X_40)),multiply(a,Z)) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,add(c,X_40)),multiply(a,Z)),multiply(a,add(add(c,X_40),Z))) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
add(multiply(a,add(c,X_40)),multiply(a,Z)) = multiply(a,add(b,add(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(c,X_40),Z)),multiply(a,add(b,add(X_40,Z)))) )],[refute_0_1599,refute_0_1602]) ).
cnf(refute_0_1604,plain,
( multiply(a,add(X_40,add(b,Z))) != add(multiply(a,add(c,X_40)),multiply(a,Z))
| add(multiply(a,add(c,X_40)),multiply(a,Z)) != multiply(a,add(b,add(X_40,Z)))
| multiply(a,add(X_40,add(b,Z))) = multiply(a,add(b,add(X_40,Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(X_40,add(b,Z))),multiply(a,add(b,add(X_40,Z)))) ),[0],$fot(add(multiply(a,add(c,X_40)),multiply(a,Z)))]]) ).
cnf(refute_0_1605,plain,
( multiply(a,add(X_40,add(b,Z))) != add(multiply(a,add(c,X_40)),multiply(a,Z))
| multiply(a,add(X_40,add(b,Z))) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(a,add(c,X_40)),multiply(a,Z)),multiply(a,add(b,add(X_40,Z)))) )],[refute_0_1603,refute_0_1604]) ).
cnf(refute_0_1606,plain,
( multiply(a,add(add(X_40,b),Z)) != add(multiply(a,add(c,X_40)),multiply(a,Z))
| multiply(a,add(X_40,add(b,Z))) = multiply(a,add(b,add(X_40,Z))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(X_40,add(b,Z))),add(multiply(a,add(c,X_40)),multiply(a,Z))) )],[refute_0_1558,refute_0_1605]) ).
cnf(refute_0_1607,plain,
multiply(a,add(X_40,add(b,Z))) = multiply(a,add(b,add(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(X_40,b),Z)),add(multiply(a,add(c,X_40)),multiply(a,Z))) )],[refute_0_1551,refute_0_1606]) ).
cnf(refute_0_1608,plain,
multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) = multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))),
inference(subst,[],[refute_0_1607:[bind(Z,$fot(multiply(additive_identity,a))),bind(X_40,$fot(multiply(b,X_16)))]]) ).
cnf(refute_0_1609,plain,
( multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) != multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a))))
| multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))) != multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16))))
| multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) = multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))))),bind(Y0,$fot(multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))))),bind(Z0,$fot(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16))))))]]) ).
cnf(refute_0_1610,plain,
( multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))) != multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16))))
| multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) = multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))),multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a))))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) = multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(b,X_16),multiply(additive_identity,a)))),multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16))))) )],[refute_0_1547,refute_0_1610]) ).
cnf(refute_0_1612,plain,
( multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) != multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16))))
| multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) != add(multiply(c,X_16),add(c,multiply(additive_identity,a)))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = add(multiply(c,X_16),add(c,multiply(additive_identity,a))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))),add(multiply(c,X_16),add(c,multiply(additive_identity,a)))) ),[0],$fot(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))))]]) ).
cnf(refute_0_1613,plain,
( multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) != add(multiply(c,X_16),add(c,multiply(additive_identity,a)))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = add(multiply(c,X_16),add(c,multiply(additive_identity,a))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))),multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16))))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
multiply(c,add(add(b,multiply(additive_identity,a)),Z)) = add(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,Z)),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(add(b,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1615,plain,
multiply(c,multiply(c,add(a,add(b,additive_inverse(c))))) = multiply(c,add(a,add(b,additive_inverse(c)))),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(c)),bind(X_16,$fot(add(a,add(b,additive_inverse(c)))))]]) ).
cnf(refute_0_1616,plain,
( multiply(c,multiply(c,add(a,add(b,additive_inverse(c))))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(a,add(b,additive_inverse(c)))) != add(c,multiply(additive_identity,a))
| multiply(c,add(c,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(c,add(a,add(b,additive_inverse(c))))),multiply(c,add(a,add(b,additive_inverse(c))))) ),[0,1],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1617,plain,
( multiply(c,multiply(c,add(a,add(b,additive_inverse(c))))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(c,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(b,additive_inverse(c)))),add(c,multiply(additive_identity,a))) )],[refute_0_1529,refute_0_1616]) ).
cnf(refute_0_1618,plain,
multiply(c,add(c,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,add(a,add(b,additive_inverse(c))))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1615,refute_0_1617]) ).
cnf(refute_0_1619,plain,
multiply(c,add(c,multiply(additive_identity,a))) = multiply(c,add(b,multiply(additive_identity,a))),
inference(subst,[],[refute_0_796:[bind(Z,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1620,plain,
( multiply(c,add(c,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(c,multiply(additive_identity,a))) != multiply(c,add(b,multiply(additive_identity,a)))
| multiply(c,add(b,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(c,multiply(additive_identity,a))),multiply(c,add(a,add(b,additive_inverse(c))))) ),[0],$fot(multiply(c,add(b,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1621,plain,
( multiply(c,add(c,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(b,multiply(additive_identity,a))) = multiply(c,add(a,add(b,additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(c,multiply(additive_identity,a))),multiply(c,add(b,multiply(additive_identity,a)))) )],[refute_0_1619,refute_0_1620]) ).
cnf(refute_0_1622,plain,
( multiply(c,add(a,add(b,additive_inverse(c)))) != add(c,multiply(additive_identity,a))
| multiply(c,add(b,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(b,multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,add(a,add(b,additive_inverse(c))))) ),[1],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1623,plain,
( multiply(c,add(b,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(b,multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(b,additive_inverse(c)))),add(c,multiply(additive_identity,a))) )],[refute_0_1529,refute_0_1622]) ).
cnf(refute_0_1624,plain,
( multiply(c,add(c,multiply(additive_identity,a))) != multiply(c,add(a,add(b,additive_inverse(c))))
| multiply(c,add(b,multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1621,refute_0_1623]) ).
cnf(refute_0_1625,plain,
multiply(c,add(b,multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,multiply(additive_identity,a))),multiply(c,add(a,add(b,additive_inverse(c))))) )],[refute_0_1618,refute_0_1624]) ).
cnf(refute_0_1626,plain,
( multiply(c,add(add(b,multiply(additive_identity,a)),Z)) != add(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,Z))
| multiply(c,add(b,multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(c,add(add(b,multiply(additive_identity,a)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(b,multiply(additive_identity,a)),Z)),add(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,Z))) ),[1,0],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1627,plain,
( multiply(c,add(add(b,multiply(additive_identity,a)),Z)) != add(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,Z))
| multiply(c,add(add(b,multiply(additive_identity,a)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
multiply(c,add(add(b,multiply(additive_identity,a)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,multiply(additive_identity,a)),Z)),add(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,Z))) )],[refute_0_1614,refute_0_1627]) ).
cnf(refute_0_1629,plain,
add(add(b,multiply(additive_identity,a)),Z) = add(b,add(multiply(additive_identity,a),Z)),
inference(subst,[],[refute_0_205:[bind(X,$fot(b)),bind(Y,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1630,plain,
multiply(c,add(add(b,multiply(additive_identity,a)),Z)) = multiply(c,add(add(b,multiply(additive_identity,a)),Z)),
introduced(tautology,[refl,[$fot(multiply(c,add(add(b,multiply(additive_identity,a)),Z)))]]) ).
cnf(refute_0_1631,plain,
( multiply(c,add(add(b,multiply(additive_identity,a)),Z)) != multiply(c,add(add(b,multiply(additive_identity,a)),Z))
| add(add(b,multiply(additive_identity,a)),Z) != add(b,add(multiply(additive_identity,a),Z))
| multiply(c,add(add(b,multiply(additive_identity,a)),Z)) = multiply(c,add(b,add(multiply(additive_identity,a),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(b,multiply(additive_identity,a)),Z)),multiply(c,add(add(b,multiply(additive_identity,a)),Z))) ),[1,1],$fot(add(b,add(multiply(additive_identity,a),Z)))]]) ).
cnf(refute_0_1632,plain,
( add(add(b,multiply(additive_identity,a)),Z) != add(b,add(multiply(additive_identity,a),Z))
| multiply(c,add(add(b,multiply(additive_identity,a)),Z)) = multiply(c,add(b,add(multiply(additive_identity,a),Z))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,multiply(additive_identity,a)),Z)),multiply(c,add(add(b,multiply(additive_identity,a)),Z))) )],[refute_0_1630,refute_0_1631]) ).
cnf(refute_0_1633,plain,
multiply(c,add(add(b,multiply(additive_identity,a)),Z)) = multiply(c,add(b,add(multiply(additive_identity,a),Z))),
inference(resolve,[$cnf( $equal(add(add(b,multiply(additive_identity,a)),Z),add(b,add(multiply(additive_identity,a),Z))) )],[refute_0_1629,refute_0_1632]) ).
cnf(refute_0_1634,plain,
( multiply(c,add(add(b,multiply(additive_identity,a)),Z)) != multiply(c,add(b,add(multiply(additive_identity,a),Z)))
| multiply(c,add(add(b,multiply(additive_identity,a)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| multiply(c,add(b,add(multiply(additive_identity,a),Z))) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(b,multiply(additive_identity,a)),Z)),add(add(c,multiply(additive_identity,a)),multiply(c,Z))) ),[0],$fot(multiply(c,add(b,add(multiply(additive_identity,a),Z))))]]) ).
cnf(refute_0_1635,plain,
( multiply(c,add(add(b,multiply(additive_identity,a)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| multiply(c,add(b,add(multiply(additive_identity,a),Z))) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,multiply(additive_identity,a)),Z)),multiply(c,add(b,add(multiply(additive_identity,a),Z)))) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
add(add(c,multiply(additive_identity,a)),multiply(c,Z)) = add(c,add(multiply(additive_identity,a),multiply(c,Z))),
inference(subst,[],[refute_0_205:[bind(X,$fot(c)),bind(Y,$fot(multiply(additive_identity,a))),bind(Z,$fot(multiply(c,Z)))]]) ).
cnf(refute_0_1637,plain,
( multiply(c,add(b,add(multiply(additive_identity,a),Z))) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| add(add(c,multiply(additive_identity,a)),multiply(c,Z)) != add(c,add(multiply(additive_identity,a),multiply(c,Z)))
| multiply(c,add(b,add(multiply(additive_identity,a),Z))) = add(c,add(multiply(additive_identity,a),multiply(c,Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(b,add(multiply(additive_identity,a),Z))),add(c,add(multiply(additive_identity,a),multiply(c,Z)))) ),[0],$fot(add(add(c,multiply(additive_identity,a)),multiply(c,Z)))]]) ).
cnf(refute_0_1638,plain,
( multiply(c,add(b,add(multiply(additive_identity,a),Z))) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| multiply(c,add(b,add(multiply(additive_identity,a),Z))) = add(c,add(multiply(additive_identity,a),multiply(c,Z))) ),
inference(resolve,[$cnf( $equal(add(add(c,multiply(additive_identity,a)),multiply(c,Z)),add(c,add(multiply(additive_identity,a),multiply(c,Z)))) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
( multiply(c,add(add(b,multiply(additive_identity,a)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| multiply(c,add(b,add(multiply(additive_identity,a),Z))) = add(c,add(multiply(additive_identity,a),multiply(c,Z))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(multiply(additive_identity,a),Z))),add(add(c,multiply(additive_identity,a)),multiply(c,Z))) )],[refute_0_1635,refute_0_1638]) ).
cnf(refute_0_1640,plain,
multiply(c,add(b,add(multiply(additive_identity,a),Z))) = add(c,add(multiply(additive_identity,a),multiply(c,Z))),
inference(resolve,[$cnf( $equal(multiply(c,add(add(b,multiply(additive_identity,a)),Z)),add(add(c,multiply(additive_identity,a)),multiply(c,Z))) )],[refute_0_1628,refute_0_1639]) ).
cnf(refute_0_1641,plain,
( multiply(c,add(b,add(multiply(additive_identity,a),Z))) != add(c,add(multiply(additive_identity,a),multiply(c,Z)))
| add(c,add(multiply(additive_identity,a),multiply(c,Z))) = multiply(c,add(b,add(multiply(additive_identity,a),Z))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(b,add(multiply(additive_identity,a),Z))))),bind(Y0,$fot(add(c,add(multiply(additive_identity,a),multiply(c,Z)))))]]) ).
cnf(refute_0_1642,plain,
add(c,add(multiply(additive_identity,a),multiply(c,Z))) = multiply(c,add(b,add(multiply(additive_identity,a),Z))),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(multiply(additive_identity,a),Z))),add(c,add(multiply(additive_identity,a),multiply(c,Z)))) )],[refute_0_1640,refute_0_1641]) ).
cnf(refute_0_1643,plain,
add(c,add(multiply(additive_identity,a),multiply(c,X_16))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))),
inference(subst,[],[refute_0_1642:[bind(Z,$fot(X_16))]]) ).
cnf(refute_0_1644,plain,
add(c,add(multiply(c,X_16),multiply(additive_identity,a))) = add(c,add(multiply(additive_identity,a),multiply(c,X_16))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(c)),bind(X_7,$fot(multiply(c,X_16))),bind(X_8,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1645,plain,
( add(c,add(multiply(additive_identity,a),multiply(c,X_16))) != multiply(c,add(b,add(multiply(additive_identity,a),X_16)))
| add(c,add(multiply(c,X_16),multiply(additive_identity,a))) != add(c,add(multiply(additive_identity,a),multiply(c,X_16)))
| add(c,add(multiply(c,X_16),multiply(additive_identity,a))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(multiply(c,X_16),multiply(additive_identity,a))))),bind(Y0,$fot(add(c,add(multiply(additive_identity,a),multiply(c,X_16))))),bind(Z0,$fot(multiply(c,add(b,add(multiply(additive_identity,a),X_16)))))]]) ).
cnf(refute_0_1646,plain,
( add(c,add(multiply(additive_identity,a),multiply(c,X_16))) != multiply(c,add(b,add(multiply(additive_identity,a),X_16)))
| add(c,add(multiply(c,X_16),multiply(additive_identity,a))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(c,X_16),multiply(additive_identity,a))),add(c,add(multiply(additive_identity,a),multiply(c,X_16)))) )],[refute_0_1644,refute_0_1645]) ).
cnf(refute_0_1647,plain,
add(c,add(multiply(c,X_16),multiply(additive_identity,a))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))),
inference(resolve,[$cnf( $equal(add(c,add(multiply(additive_identity,a),multiply(c,X_16))),multiply(c,add(b,add(multiply(additive_identity,a),X_16)))) )],[refute_0_1643,refute_0_1646]) ).
cnf(refute_0_1648,plain,
add(multiply(c,X_16),add(c,multiply(additive_identity,a))) = add(c,add(multiply(c,X_16),multiply(additive_identity,a))),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(c)),bind(X_7,$fot(multiply(c,X_16))),bind(X_8,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1649,plain,
( add(multiply(c,X_16),add(c,multiply(additive_identity,a))) != add(c,add(multiply(c,X_16),multiply(additive_identity,a)))
| add(c,add(multiply(c,X_16),multiply(additive_identity,a))) != multiply(c,add(b,add(multiply(additive_identity,a),X_16)))
| add(multiply(c,X_16),add(c,multiply(additive_identity,a))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(c,X_16),add(c,multiply(additive_identity,a))))),bind(Y0,$fot(add(c,add(multiply(c,X_16),multiply(additive_identity,a))))),bind(Z0,$fot(multiply(c,add(b,add(multiply(additive_identity,a),X_16)))))]]) ).
cnf(refute_0_1650,plain,
( add(c,add(multiply(c,X_16),multiply(additive_identity,a))) != multiply(c,add(b,add(multiply(additive_identity,a),X_16)))
| add(multiply(c,X_16),add(c,multiply(additive_identity,a))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))) ),
inference(resolve,[$cnf( $equal(add(multiply(c,X_16),add(c,multiply(additive_identity,a))),add(c,add(multiply(c,X_16),multiply(additive_identity,a)))) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
add(multiply(c,X_16),add(c,multiply(additive_identity,a))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))),
inference(resolve,[$cnf( $equal(add(c,add(multiply(c,X_16),multiply(additive_identity,a))),multiply(c,add(b,add(multiply(additive_identity,a),X_16)))) )],[refute_0_1647,refute_0_1650]) ).
cnf(refute_0_1652,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) != add(multiply(c,X_16),add(c,multiply(additive_identity,a)))
| add(multiply(c,X_16),add(c,multiply(additive_identity,a))) != multiply(c,add(b,add(multiply(additive_identity,a),X_16)))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),multiply(c,add(b,add(multiply(additive_identity,a),X_16)))) ),[0],$fot(add(multiply(c,X_16),add(c,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1653,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) != add(multiply(c,X_16),add(c,multiply(additive_identity,a)))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))) ),
inference(resolve,[$cnf( $equal(add(multiply(c,X_16),add(c,multiply(additive_identity,a))),multiply(c,add(b,add(multiply(additive_identity,a),X_16)))) )],[refute_0_1651,refute_0_1652]) ).
cnf(refute_0_1654,plain,
( multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))) != add(multiply(c,X_16),add(c,multiply(additive_identity,a)))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),add(multiply(c,X_16),add(c,multiply(additive_identity,a)))) )],[refute_0_1613,refute_0_1653]) ).
cnf(refute_0_1655,plain,
multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(b,add(multiply(additive_identity,a),X_16))),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,X_16),add(b,multiply(additive_identity,a)))),add(multiply(c,X_16),add(c,multiply(additive_identity,a)))) )],[refute_0_1542,refute_0_1654]) ).
cnf(refute_0_1656,plain,
multiply(c,add(add(a,add(a,b)),Z)) = add(multiply(c,add(a,add(a,b))),multiply(c,Z)),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Y,$fot(add(a,add(a,b))))]]) ).
cnf(refute_0_1657,plain,
multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = multiply(c,add(b,multiply(additive_identity,a))),
inference(subst,[],[refute_0_94:[bind(X_20,$fot(b)),bind(X_29,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1658,plain,
( multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) != multiply(c,add(b,multiply(additive_identity,a)))
| multiply(c,add(b,multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) ),[0],$fot(multiply(c,add(b,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1659,plain,
( multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) != multiply(c,add(b,multiply(additive_identity,a)))
| multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) )],[refute_0_1625,refute_0_1658]) ).
cnf(refute_0_1660,plain,
multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = add(c,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))),multiply(c,add(b,multiply(additive_identity,a)))) )],[refute_0_1657,refute_0_1659]) ).
cnf(refute_0_1661,plain,
multiply(b,multiply(b,b)) = multiply(b,b),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(b)),bind(X_16,$fot(b))]]) ).
cnf(refute_0_1662,plain,
( multiply(b,multiply(b,b)) != multiply(b,b)
| multiply(b,b) != b
| multiply(b,multiply(b,b)) = b ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(b,multiply(b,b)))),bind(Y0,$fot(multiply(b,b))),bind(Z0,$fot(b))]]) ).
cnf(refute_0_1663,plain,
( multiply(b,b) != b
| multiply(b,multiply(b,b)) = b ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(b,b)),multiply(b,b)) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
multiply(b,multiply(b,b)) = b,
inference(resolve,[$cnf( $equal(multiply(b,b),b) )],[refute_0_29,refute_0_1663]) ).
cnf(refute_0_1665,plain,
add(a,multiply(b,multiply(b,b))) = add(a,multiply(b,multiply(b,b))),
introduced(tautology,[refl,[$fot(add(a,multiply(b,multiply(b,b))))]]) ).
cnf(refute_0_1666,plain,
( multiply(b,multiply(b,b)) != b
| add(a,multiply(b,multiply(b,b))) != add(a,multiply(b,multiply(b,b)))
| add(a,multiply(b,multiply(b,b))) = add(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,multiply(b,multiply(b,b))),add(a,multiply(b,multiply(b,b)))) ),[1,1],$fot(b)]]) ).
cnf(refute_0_1667,plain,
( multiply(b,multiply(b,b)) != b
| add(a,multiply(b,multiply(b,b))) = add(a,b) ),
inference(resolve,[$cnf( $equal(add(a,multiply(b,multiply(b,b))),add(a,multiply(b,multiply(b,b)))) )],[refute_0_1665,refute_0_1666]) ).
cnf(refute_0_1668,plain,
add(a,multiply(b,multiply(b,b))) = add(a,b),
inference(resolve,[$cnf( $equal(multiply(b,multiply(b,b)),b) )],[refute_0_1664,refute_0_1667]) ).
cnf(refute_0_1669,plain,
add(a,add(a,multiply(b,multiply(b,b)))) = add(a,add(a,multiply(b,multiply(b,b)))),
introduced(tautology,[refl,[$fot(add(a,add(a,multiply(b,multiply(b,b)))))]]) ).
cnf(refute_0_1670,plain,
( add(a,multiply(b,multiply(b,b))) != add(a,b)
| add(a,add(a,multiply(b,multiply(b,b)))) != add(a,add(a,multiply(b,multiply(b,b))))
| add(a,add(a,multiply(b,multiply(b,b)))) = add(a,add(a,b)) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(a,multiply(b,multiply(b,b)))),add(a,add(a,multiply(b,multiply(b,b))))) ),[1,1],$fot(add(a,b))]]) ).
cnf(refute_0_1671,plain,
( add(a,multiply(b,multiply(b,b))) != add(a,b)
| add(a,add(a,multiply(b,multiply(b,b)))) = add(a,add(a,b)) ),
inference(resolve,[$cnf( $equal(add(a,add(a,multiply(b,multiply(b,b)))),add(a,add(a,multiply(b,multiply(b,b))))) )],[refute_0_1669,refute_0_1670]) ).
cnf(refute_0_1672,plain,
add(a,add(a,multiply(b,multiply(b,b)))) = add(a,add(a,b)),
inference(resolve,[$cnf( $equal(add(a,multiply(b,multiply(b,b))),add(a,b)) )],[refute_0_1668,refute_0_1671]) ).
cnf(refute_0_1673,plain,
multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) = multiply(c,add(a,add(a,multiply(b,multiply(b,b))))),
introduced(tautology,[refl,[$fot(multiply(c,add(a,add(a,multiply(b,multiply(b,b))))))]]) ).
cnf(refute_0_1674,plain,
( multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) != multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))
| add(a,add(a,multiply(b,multiply(b,b)))) != add(a,add(a,b))
| multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) = multiply(c,add(a,add(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,add(a,multiply(b,multiply(b,b))))),multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))) ),[1,1],$fot(add(a,add(a,b)))]]) ).
cnf(refute_0_1675,plain,
( add(a,add(a,multiply(b,multiply(b,b)))) != add(a,add(a,b))
| multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) = multiply(c,add(a,add(a,b))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,multiply(b,multiply(b,b))))),multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))) )],[refute_0_1673,refute_0_1674]) ).
cnf(refute_0_1676,plain,
multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) = multiply(c,add(a,add(a,b))),
inference(resolve,[$cnf( $equal(add(a,add(a,multiply(b,multiply(b,b)))),add(a,add(a,b))) )],[refute_0_1672,refute_0_1675]) ).
cnf(refute_0_1677,plain,
multiply(c,add(multiply(add(a,a),multiply(b,add(a,a))),X_29)) = multiply(c,add(add(a,a),X_29)),
inference(subst,[],[refute_0_94:[bind(X_20,$fot(add(a,a)))]]) ).
cnf(refute_0_1678,plain,
( multiply(b,add(a,a)) != multiply(b,multiply(additive_identity,a))
| multiply(c,add(multiply(add(a,a),multiply(b,add(a,a))),X_29)) != multiply(c,add(add(a,a),X_29))
| multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) = multiply(c,add(add(a,a),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(add(a,a),multiply(b,add(a,a))),X_29)),multiply(c,add(add(a,a),X_29))) ),[0,1,0,1],$fot(multiply(b,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1679,plain,
( multiply(c,add(multiply(add(a,a),multiply(b,add(a,a))),X_29)) != multiply(c,add(add(a,a),X_29))
| multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) = multiply(c,add(add(a,a),X_29)) ),
inference(resolve,[$cnf( $equal(multiply(b,add(a,a)),multiply(b,multiply(additive_identity,a))) )],[refute_0_1106,refute_0_1678]) ).
cnf(refute_0_1680,plain,
multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) = multiply(c,add(add(a,a),X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(add(a,a),multiply(b,add(a,a))),X_29)),multiply(c,add(add(a,a),X_29))) )],[refute_0_1677,refute_0_1679]) ).
cnf(refute_0_1681,plain,
multiply(additive_identity,multiply(additive_identity,a)) = multiply(additive_identity,a),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(additive_identity)),bind(X_16,$fot(a))]]) ).
cnf(refute_0_1682,plain,
multiply(add(a,a),multiply(b,multiply(additive_identity,a))) = multiply(additive_identity,multiply(additive_identity,a)),
inference(subst,[],[refute_0_959:[bind(Z,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1683,plain,
( multiply(add(a,a),multiply(b,multiply(additive_identity,a))) != multiply(additive_identity,multiply(additive_identity,a))
| multiply(additive_identity,multiply(additive_identity,a)) != multiply(additive_identity,a)
| multiply(add(a,a),multiply(b,multiply(additive_identity,a))) = multiply(additive_identity,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(a,a),multiply(b,multiply(additive_identity,a))))),bind(Y0,$fot(multiply(additive_identity,multiply(additive_identity,a)))),bind(Z0,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1684,plain,
( multiply(additive_identity,multiply(additive_identity,a)) != multiply(additive_identity,a)
| multiply(add(a,a),multiply(b,multiply(additive_identity,a))) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),multiply(additive_identity,multiply(additive_identity,a))) )],[refute_0_1682,refute_0_1683]) ).
cnf(refute_0_1685,plain,
multiply(add(a,a),multiply(b,multiply(additive_identity,a))) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(additive_identity,multiply(additive_identity,a)),multiply(additive_identity,a)) )],[refute_0_1681,refute_0_1684]) ).
cnf(refute_0_1686,plain,
add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29) = add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29),
introduced(tautology,[refl,[$fot(add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29))]]) ).
cnf(refute_0_1687,plain,
( multiply(add(a,a),multiply(b,multiply(additive_identity,a))) != multiply(additive_identity,a)
| add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29) != add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)
| add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29) = add(multiply(additive_identity,a),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29),add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) ),[1,0],$fot(multiply(additive_identity,a))]]) ).
cnf(refute_0_1688,plain,
( multiply(add(a,a),multiply(b,multiply(additive_identity,a))) != multiply(additive_identity,a)
| add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29) = add(multiply(additive_identity,a),X_29) ),
inference(resolve,[$cnf( $equal(add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29),add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) )],[refute_0_1686,refute_0_1687]) ).
cnf(refute_0_1689,plain,
add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29) = add(multiply(additive_identity,a),X_29),
inference(resolve,[$cnf( $equal(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),multiply(additive_identity,a)) )],[refute_0_1685,refute_0_1688]) ).
cnf(refute_0_1690,plain,
multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) = multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)),
introduced(tautology,[refl,[$fot(multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)))]]) ).
cnf(refute_0_1691,plain,
( multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) != multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29))
| add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29) != add(multiply(additive_identity,a),X_29)
| multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) = multiply(c,add(multiply(additive_identity,a),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)),multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29))) ),[1,1],$fot(add(multiply(additive_identity,a),X_29))]]) ).
cnf(refute_0_1692,plain,
( add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29) != add(multiply(additive_identity,a),X_29)
| multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) = multiply(c,add(multiply(additive_identity,a),X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)),multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29))) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) = multiply(c,add(multiply(additive_identity,a),X_29)),
inference(resolve,[$cnf( $equal(add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29),add(multiply(additive_identity,a),X_29)) )],[refute_0_1689,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) != multiply(c,add(multiply(additive_identity,a),X_29))
| multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) != multiply(c,add(add(a,a),X_29))
| multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,add(add(a,a),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)),multiply(c,add(add(a,a),X_29))) ),[0],$fot(multiply(c,add(multiply(additive_identity,a),X_29)))]]) ).
cnf(refute_0_1695,plain,
( multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) != multiply(c,add(add(a,a),X_29))
| multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,add(add(a,a),X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)),multiply(c,add(multiply(additive_identity,a),X_29))) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
add(add(a,a),X_29) = add(a,add(a,X_29)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(a)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_1697,plain,
multiply(c,add(add(a,a),X_29)) = multiply(c,add(add(a,a),X_29)),
introduced(tautology,[refl,[$fot(multiply(c,add(add(a,a),X_29)))]]) ).
cnf(refute_0_1698,plain,
( multiply(c,add(add(a,a),X_29)) != multiply(c,add(add(a,a),X_29))
| add(add(a,a),X_29) != add(a,add(a,X_29))
| multiply(c,add(add(a,a),X_29)) = multiply(c,add(a,add(a,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,a),X_29)),multiply(c,add(add(a,a),X_29))) ),[1,1],$fot(add(a,add(a,X_29)))]]) ).
cnf(refute_0_1699,plain,
( add(add(a,a),X_29) != add(a,add(a,X_29))
| multiply(c,add(add(a,a),X_29)) = multiply(c,add(a,add(a,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,a),X_29)),multiply(c,add(add(a,a),X_29))) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
multiply(c,add(add(a,a),X_29)) = multiply(c,add(a,add(a,X_29))),
inference(resolve,[$cnf( $equal(add(add(a,a),X_29),add(a,add(a,X_29))) )],[refute_0_1696,refute_0_1699]) ).
cnf(refute_0_1701,plain,
( multiply(c,add(multiply(additive_identity,a),X_29)) != multiply(c,add(add(a,a),X_29))
| multiply(c,add(add(a,a),X_29)) != multiply(c,add(a,add(a,X_29)))
| multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,add(a,add(a,X_29))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(multiply(additive_identity,a),X_29)),multiply(c,add(a,add(a,X_29)))) ),[0],$fot(multiply(c,add(add(a,a),X_29)))]]) ).
cnf(refute_0_1702,plain,
( multiply(c,add(multiply(additive_identity,a),X_29)) != multiply(c,add(add(a,a),X_29))
| multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,add(a,add(a,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,a),X_29)),multiply(c,add(a,add(a,X_29)))) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
( multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)) != multiply(c,add(add(a,a),X_29))
| multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,add(a,add(a,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(additive_identity,a),X_29)),multiply(c,add(add(a,a),X_29))) )],[refute_0_1695,refute_0_1702]) ).
cnf(refute_0_1704,plain,
multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,add(a,add(a,X_29))),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(add(a,a),multiply(b,multiply(additive_identity,a))),X_29)),multiply(c,add(add(a,a),X_29))) )],[refute_0_1680,refute_0_1703]) ).
cnf(refute_0_1705,plain,
multiply(c,add(multiply(additive_identity,a),multiply(b,multiply(b,b)))) = multiply(c,add(a,add(a,multiply(b,multiply(b,b))))),
inference(subst,[],[refute_0_1704:[bind(X_29,$fot(multiply(b,multiply(b,b))))]]) ).
cnf(refute_0_1706,plain,
multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = multiply(c,add(multiply(additive_identity,a),multiply(b,multiply(b,b)))),
inference(subst,[],[refute_0_821:[bind(X_47,$fot(multiply(b,multiply(b,b)))),bind(X_48,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1707,plain,
( multiply(c,add(multiply(additive_identity,a),multiply(b,multiply(b,b)))) != multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))
| multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) != multiply(c,add(multiply(additive_identity,a),multiply(b,multiply(b,b))))
| multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))))),bind(Y0,$fot(multiply(c,add(multiply(additive_identity,a),multiply(b,multiply(b,b)))))),bind(Z0,$fot(multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))))]]) ).
cnf(refute_0_1708,plain,
( multiply(c,add(multiply(additive_identity,a),multiply(b,multiply(b,b)))) != multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))
| multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))),multiply(c,add(multiply(additive_identity,a),multiply(b,multiply(b,b))))) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = multiply(c,add(a,add(a,multiply(b,multiply(b,b))))),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(additive_identity,a),multiply(b,multiply(b,b)))),multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))) )],[refute_0_1705,refute_0_1708]) ).
cnf(refute_0_1710,plain,
( multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) != multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))
| multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) != multiply(c,add(a,add(a,b)))
| multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = multiply(c,add(a,add(a,b))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))))),bind(Y0,$fot(multiply(c,add(a,add(a,multiply(b,multiply(b,b))))))),bind(Z0,$fot(multiply(c,add(a,add(a,b)))))]]) ).
cnf(refute_0_1711,plain,
( multiply(c,add(a,add(a,multiply(b,multiply(b,b))))) != multiply(c,add(a,add(a,b)))
| multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = multiply(c,add(a,add(a,b))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))),multiply(c,add(a,add(a,multiply(b,multiply(b,b)))))) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) = multiply(c,add(a,add(a,b))),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,multiply(b,multiply(b,b))))),multiply(c,add(a,add(a,b)))) )],[refute_0_1676,refute_0_1711]) ).
cnf(refute_0_1713,plain,
( multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) != multiply(c,add(a,add(a,b)))
| multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(c,add(a,add(a,b))) = add(c,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) ),[0],$fot(multiply(c,add(a,add(a,b))))]]) ).
cnf(refute_0_1714,plain,
( multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(c,add(a,add(a,b))) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))),multiply(c,add(a,add(a,b)))) )],[refute_0_1712,refute_0_1713]) ).
cnf(refute_0_1715,plain,
multiply(c,add(a,add(a,b))) = add(c,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,multiply(b,b)),multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) )],[refute_0_1660,refute_0_1714]) ).
cnf(refute_0_1716,plain,
( multiply(c,add(add(a,add(a,b)),Z)) != add(multiply(c,add(a,add(a,b))),multiply(c,Z))
| multiply(c,add(a,add(a,b))) != add(c,multiply(additive_identity,a))
| multiply(c,add(add(a,add(a,b)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),Z)),add(multiply(c,add(a,add(a,b))),multiply(c,Z))) ),[1,0],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1717,plain,
( multiply(c,add(add(a,add(a,b)),Z)) != add(multiply(c,add(a,add(a,b))),multiply(c,Z))
| multiply(c,add(add(a,add(a,b)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,b))),add(c,multiply(additive_identity,a))) )],[refute_0_1715,refute_0_1716]) ).
cnf(refute_0_1718,plain,
multiply(c,add(add(a,add(a,b)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),Z)),add(multiply(c,add(a,add(a,b))),multiply(c,Z))) )],[refute_0_1656,refute_0_1717]) ).
cnf(refute_0_1719,plain,
add(add(a,b),Z) = add(a,add(b,Z)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
cnf(refute_0_1720,plain,
add(a,add(add(a,b),Z)) = add(a,add(add(a,b),Z)),
introduced(tautology,[refl,[$fot(add(a,add(add(a,b),Z)))]]) ).
cnf(refute_0_1721,plain,
( add(add(a,b),Z) != add(a,add(b,Z))
| add(a,add(add(a,b),Z)) != add(a,add(add(a,b),Z))
| add(a,add(add(a,b),Z)) = add(a,add(a,add(b,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(add(a,b),Z)),add(a,add(add(a,b),Z))) ),[1,1],$fot(add(a,add(b,Z)))]]) ).
cnf(refute_0_1722,plain,
( add(add(a,b),Z) != add(a,add(b,Z))
| add(a,add(add(a,b),Z)) = add(a,add(a,add(b,Z))) ),
inference(resolve,[$cnf( $equal(add(a,add(add(a,b),Z)),add(a,add(add(a,b),Z))) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
add(a,add(add(a,b),Z)) = add(a,add(a,add(b,Z))),
inference(resolve,[$cnf( $equal(add(add(a,b),Z),add(a,add(b,Z))) )],[refute_0_1719,refute_0_1722]) ).
cnf(refute_0_1724,plain,
add(add(a,add(a,b)),Z) = add(a,add(add(a,b),Z)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(add(a,b)))]]) ).
cnf(refute_0_1725,plain,
( add(add(a,add(a,b)),Z) != add(a,add(add(a,b),Z))
| add(a,add(add(a,b),Z)) != add(a,add(a,add(b,Z)))
| add(add(a,add(a,b)),Z) = add(a,add(a,add(b,Z))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(a,add(a,b)),Z))),bind(Y0,$fot(add(a,add(add(a,b),Z)))),bind(Z0,$fot(add(a,add(a,add(b,Z)))))]]) ).
cnf(refute_0_1726,plain,
( add(a,add(add(a,b),Z)) != add(a,add(a,add(b,Z)))
| add(add(a,add(a,b)),Z) = add(a,add(a,add(b,Z))) ),
inference(resolve,[$cnf( $equal(add(add(a,add(a,b)),Z),add(a,add(add(a,b),Z))) )],[refute_0_1724,refute_0_1725]) ).
cnf(refute_0_1727,plain,
add(add(a,add(a,b)),Z) = add(a,add(a,add(b,Z))),
inference(resolve,[$cnf( $equal(add(a,add(add(a,b),Z)),add(a,add(a,add(b,Z)))) )],[refute_0_1723,refute_0_1726]) ).
cnf(refute_0_1728,plain,
multiply(c,add(add(a,add(a,b)),Z)) = multiply(c,add(add(a,add(a,b)),Z)),
introduced(tautology,[refl,[$fot(multiply(c,add(add(a,add(a,b)),Z)))]]) ).
cnf(refute_0_1729,plain,
( multiply(c,add(add(a,add(a,b)),Z)) != multiply(c,add(add(a,add(a,b)),Z))
| add(add(a,add(a,b)),Z) != add(a,add(a,add(b,Z)))
| multiply(c,add(add(a,add(a,b)),Z)) = multiply(c,add(a,add(a,add(b,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),Z)),multiply(c,add(add(a,add(a,b)),Z))) ),[1,1],$fot(add(a,add(a,add(b,Z))))]]) ).
cnf(refute_0_1730,plain,
( add(add(a,add(a,b)),Z) != add(a,add(a,add(b,Z)))
| multiply(c,add(add(a,add(a,b)),Z)) = multiply(c,add(a,add(a,add(b,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),Z)),multiply(c,add(add(a,add(a,b)),Z))) )],[refute_0_1728,refute_0_1729]) ).
cnf(refute_0_1731,plain,
multiply(c,add(add(a,add(a,b)),Z)) = multiply(c,add(a,add(a,add(b,Z)))),
inference(resolve,[$cnf( $equal(add(add(a,add(a,b)),Z),add(a,add(a,add(b,Z)))) )],[refute_0_1727,refute_0_1730]) ).
cnf(refute_0_1732,plain,
( multiply(c,add(add(a,add(a,b)),Z)) != multiply(c,add(a,add(a,add(b,Z))))
| multiply(c,add(add(a,add(a,b)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| multiply(c,add(a,add(a,add(b,Z)))) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),Z)),add(add(c,multiply(additive_identity,a)),multiply(c,Z))) ),[0],$fot(multiply(c,add(a,add(a,add(b,Z)))))]]) ).
cnf(refute_0_1733,plain,
( multiply(c,add(add(a,add(a,b)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| multiply(c,add(a,add(a,add(b,Z)))) = add(add(c,multiply(additive_identity,a)),multiply(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),Z)),multiply(c,add(a,add(a,add(b,Z))))) )],[refute_0_1731,refute_0_1732]) ).
cnf(refute_0_1734,plain,
( add(add(c,multiply(additive_identity,a)),multiply(c,Z)) != add(c,add(multiply(additive_identity,a),multiply(c,Z)))
| add(c,add(multiply(additive_identity,a),multiply(c,Z))) != multiply(c,add(b,add(multiply(additive_identity,a),Z)))
| add(add(c,multiply(additive_identity,a)),multiply(c,Z)) = multiply(c,add(b,add(multiply(additive_identity,a),Z))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(c,multiply(additive_identity,a)),multiply(c,Z)))),bind(Y0,$fot(add(c,add(multiply(additive_identity,a),multiply(c,Z))))),bind(Z0,$fot(multiply(c,add(b,add(multiply(additive_identity,a),Z)))))]]) ).
cnf(refute_0_1735,plain,
( add(c,add(multiply(additive_identity,a),multiply(c,Z))) != multiply(c,add(b,add(multiply(additive_identity,a),Z)))
| add(add(c,multiply(additive_identity,a)),multiply(c,Z)) = multiply(c,add(b,add(multiply(additive_identity,a),Z))) ),
inference(resolve,[$cnf( $equal(add(add(c,multiply(additive_identity,a)),multiply(c,Z)),add(c,add(multiply(additive_identity,a),multiply(c,Z)))) )],[refute_0_1636,refute_0_1734]) ).
cnf(refute_0_1736,plain,
add(add(c,multiply(additive_identity,a)),multiply(c,Z)) = multiply(c,add(b,add(multiply(additive_identity,a),Z))),
inference(resolve,[$cnf( $equal(add(c,add(multiply(additive_identity,a),multiply(c,Z))),multiply(c,add(b,add(multiply(additive_identity,a),Z)))) )],[refute_0_1642,refute_0_1735]) ).
cnf(refute_0_1737,plain,
( multiply(c,add(a,add(a,add(b,Z)))) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| add(add(c,multiply(additive_identity,a)),multiply(c,Z)) != multiply(c,add(b,add(multiply(additive_identity,a),Z)))
| multiply(c,add(a,add(a,add(b,Z)))) = multiply(c,add(b,add(multiply(additive_identity,a),Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(a,add(a,add(b,Z)))),multiply(c,add(b,add(multiply(additive_identity,a),Z)))) ),[0],$fot(add(add(c,multiply(additive_identity,a)),multiply(c,Z)))]]) ).
cnf(refute_0_1738,plain,
( multiply(c,add(a,add(a,add(b,Z)))) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| multiply(c,add(a,add(a,add(b,Z)))) = multiply(c,add(b,add(multiply(additive_identity,a),Z))) ),
inference(resolve,[$cnf( $equal(add(add(c,multiply(additive_identity,a)),multiply(c,Z)),multiply(c,add(b,add(multiply(additive_identity,a),Z)))) )],[refute_0_1736,refute_0_1737]) ).
cnf(refute_0_1739,plain,
( multiply(c,add(add(a,add(a,b)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(c,Z))
| multiply(c,add(a,add(a,add(b,Z)))) = multiply(c,add(b,add(multiply(additive_identity,a),Z))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(b,Z)))),add(add(c,multiply(additive_identity,a)),multiply(c,Z))) )],[refute_0_1733,refute_0_1738]) ).
cnf(refute_0_1740,plain,
multiply(c,add(a,add(a,add(b,Z)))) = multiply(c,add(b,add(multiply(additive_identity,a),Z))),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),Z)),add(add(c,multiply(additive_identity,a)),multiply(c,Z))) )],[refute_0_1718,refute_0_1739]) ).
cnf(refute_0_1741,plain,
( multiply(c,add(a,add(a,add(b,Z)))) != multiply(c,add(b,add(multiply(additive_identity,a),Z)))
| multiply(c,add(b,add(multiply(additive_identity,a),Z))) = multiply(c,add(a,add(a,add(b,Z)))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(a,add(a,add(b,Z)))))),bind(Y0,$fot(multiply(c,add(b,add(multiply(additive_identity,a),Z)))))]]) ).
cnf(refute_0_1742,plain,
multiply(c,add(b,add(multiply(additive_identity,a),Z))) = multiply(c,add(a,add(a,add(b,Z)))),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(b,Z)))),multiply(c,add(b,add(multiply(additive_identity,a),Z)))) )],[refute_0_1740,refute_0_1741]) ).
cnf(refute_0_1743,plain,
multiply(c,add(b,add(multiply(additive_identity,a),X_16))) = multiply(c,add(a,add(a,add(b,X_16)))),
inference(subst,[],[refute_0_1742:[bind(Z,$fot(X_16))]]) ).
cnf(refute_0_1744,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) != multiply(c,add(b,add(multiply(additive_identity,a),X_16)))
| multiply(c,add(b,add(multiply(additive_identity,a),X_16))) != multiply(c,add(a,add(a,add(b,X_16))))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(a,add(a,add(b,X_16)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),multiply(c,add(a,add(a,add(b,X_16))))) ),[0],$fot(multiply(c,add(b,add(multiply(additive_identity,a),X_16))))]]) ).
cnf(refute_0_1745,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) != multiply(c,add(b,add(multiply(additive_identity,a),X_16)))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(a,add(a,add(b,X_16)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,add(multiply(additive_identity,a),X_16))),multiply(c,add(a,add(a,add(b,X_16))))) )],[refute_0_1743,refute_0_1744]) ).
cnf(refute_0_1746,plain,
multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(a,add(a,add(b,X_16)))),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),multiply(c,add(b,add(multiply(additive_identity,a),X_16)))) )],[refute_0_1655,refute_0_1745]) ).
cnf(refute_0_1747,plain,
multiply(a,multiply(b,add(a,X_16))) = multiply(c,add(a,X_16)),
inference(subst,[],[refute_0_27:[bind(X_16,$fot(add(a,X_16)))]]) ).
cnf(refute_0_1748,plain,
add(multiply(b,a),multiply(b,X_16)) = multiply(b,add(a,X_16)),
inference(subst,[],[refute_0_90:[bind(X,$fot(b)),bind(Y,$fot(a)),bind(Z,$fot(X_16))]]) ).
cnf(refute_0_1749,plain,
multiply(a,add(multiply(b,a),multiply(b,X_16))) = multiply(a,add(multiply(b,a),multiply(b,X_16))),
introduced(tautology,[refl,[$fot(multiply(a,add(multiply(b,a),multiply(b,X_16))))]]) ).
cnf(refute_0_1750,plain,
( multiply(a,add(multiply(b,a),multiply(b,X_16))) != multiply(a,add(multiply(b,a),multiply(b,X_16)))
| add(multiply(b,a),multiply(b,X_16)) != multiply(b,add(a,X_16))
| multiply(a,add(multiply(b,a),multiply(b,X_16))) = multiply(a,multiply(b,add(a,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,a),multiply(b,X_16))),multiply(a,add(multiply(b,a),multiply(b,X_16)))) ),[1,1],$fot(multiply(b,add(a,X_16)))]]) ).
cnf(refute_0_1751,plain,
( add(multiply(b,a),multiply(b,X_16)) != multiply(b,add(a,X_16))
| multiply(a,add(multiply(b,a),multiply(b,X_16))) = multiply(a,multiply(b,add(a,X_16))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,a),multiply(b,X_16))),multiply(a,add(multiply(b,a),multiply(b,X_16)))) )],[refute_0_1749,refute_0_1750]) ).
cnf(refute_0_1752,plain,
multiply(a,add(multiply(b,a),multiply(b,X_16))) = multiply(a,multiply(b,add(a,X_16))),
inference(resolve,[$cnf( $equal(add(multiply(b,a),multiply(b,X_16)),multiply(b,add(a,X_16))) )],[refute_0_1748,refute_0_1751]) ).
cnf(refute_0_1753,plain,
( multiply(a,multiply(b,add(a,X_16))) != multiply(c,add(a,X_16))
| multiply(a,add(multiply(b,a),multiply(b,X_16))) != multiply(a,multiply(b,add(a,X_16)))
| multiply(a,add(multiply(b,a),multiply(b,X_16))) = multiply(c,add(a,X_16)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(multiply(b,a),multiply(b,X_16))))),bind(Y0,$fot(multiply(a,multiply(b,add(a,X_16))))),bind(Z0,$fot(multiply(c,add(a,X_16))))]]) ).
cnf(refute_0_1754,plain,
( multiply(a,multiply(b,add(a,X_16))) != multiply(c,add(a,X_16))
| multiply(a,add(multiply(b,a),multiply(b,X_16))) = multiply(c,add(a,X_16)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,a),multiply(b,X_16))),multiply(a,multiply(b,add(a,X_16)))) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
multiply(a,add(multiply(b,a),multiply(b,X_16))) = multiply(c,add(a,X_16)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,add(a,X_16))),multiply(c,add(a,X_16))) )],[refute_0_1747,refute_0_1754]) ).
cnf(refute_0_1756,plain,
multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) = add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)),
inference(subst,[],[refute_0_1500:[bind(X_16,$fot(multiply(c,add(a,add(a,b)))))]]) ).
cnf(refute_0_1757,plain,
multiply(b,multiply(c,multiply(a,add(a,add(a,b))))) = multiply(b,multiply(a,add(a,add(a,b)))),
inference(subst,[],[refute_0_1085:[bind(Z,$fot(add(a,add(a,b))))]]) ).
cnf(refute_0_1758,plain,
multiply(a,add(add(a,b),a)) = add(a,multiply(a,add(a,b))),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(add(a,b))),bind(X_29,$fot(a))]]) ).
cnf(refute_0_1759,plain,
( multiply(a,add(add(a,b),a)) != add(a,multiply(a,add(a,b)))
| multiply(a,add(a,b)) != add(a,c)
| multiply(a,add(add(a,b),a)) = add(a,add(a,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(a,b),a)),add(a,multiply(a,add(a,b)))) ),[1,1],$fot(add(a,c))]]) ).
cnf(refute_0_1760,plain,
( multiply(a,add(add(a,b),a)) != add(a,multiply(a,add(a,b)))
| multiply(a,add(add(a,b),a)) = add(a,add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(a,b)),add(a,c)) )],[refute_0_613,refute_0_1759]) ).
cnf(refute_0_1761,plain,
multiply(a,add(add(a,b),a)) = add(a,add(a,c)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(a,b),a)),add(a,multiply(a,add(a,b)))) )],[refute_0_1758,refute_0_1760]) ).
cnf(refute_0_1762,plain,
multiply(a,add(add(a,b),a)) = multiply(a,add(a,add(a,b))),
inference(subst,[],[refute_0_654:[bind(X_31,$fot(add(a,b))),bind(X_32,$fot(a))]]) ).
cnf(refute_0_1763,plain,
( multiply(a,add(add(a,b),a)) != multiply(a,add(a,add(a,b)))
| multiply(a,add(add(a,b),a)) != add(a,add(a,c))
| multiply(a,add(a,add(a,b))) = add(a,add(a,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(a,b),a)),add(a,add(a,c))) ),[0],$fot(multiply(a,add(a,add(a,b))))]]) ).
cnf(refute_0_1764,plain,
( multiply(a,add(add(a,b),a)) != add(a,add(a,c))
| multiply(a,add(a,add(a,b))) = add(a,add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(a,b),a)),multiply(a,add(a,add(a,b)))) )],[refute_0_1762,refute_0_1763]) ).
cnf(refute_0_1765,plain,
multiply(a,add(a,add(a,b))) = add(a,add(a,c)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(a,b),a)),add(a,add(a,c))) )],[refute_0_1761,refute_0_1764]) ).
cnf(refute_0_1766,plain,
( multiply(a,add(a,add(a,b))) != add(a,add(a,c))
| multiply(b,multiply(c,multiply(a,add(a,add(a,b))))) != multiply(b,multiply(a,add(a,add(a,b))))
| multiply(b,multiply(c,add(a,add(a,c)))) = multiply(b,multiply(a,add(a,add(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,multiply(a,add(a,add(a,b))))),multiply(b,multiply(a,add(a,add(a,b))))) ),[0,1,1],$fot(add(a,add(a,c)))]]) ).
cnf(refute_0_1767,plain,
( multiply(b,multiply(c,multiply(a,add(a,add(a,b))))) != multiply(b,multiply(a,add(a,add(a,b))))
| multiply(b,multiply(c,add(a,add(a,c)))) = multiply(b,multiply(a,add(a,add(a,b)))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(a,add(a,b))),add(a,add(a,c))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
multiply(b,multiply(c,add(a,add(a,c)))) = multiply(b,multiply(a,add(a,add(a,b)))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,multiply(a,add(a,add(a,b))))),multiply(b,multiply(a,add(a,add(a,b))))) )],[refute_0_1757,refute_0_1767]) ).
cnf(refute_0_1769,plain,
multiply(c,add(Y,add(X_39,c))) = add(multiply(c,Y),multiply(c,add(X_39,c))),
inference(subst,[],[distribute1:[bind(X,$fot(c)),bind(Z,$fot(add(X_39,c)))]]) ).
cnf(refute_0_1770,plain,
( multiply(c,add(Y,add(X_39,c))) != add(multiply(c,Y),multiply(c,add(X_39,c)))
| multiply(c,add(X_39,c)) != multiply(c,add(X_39,b))
| multiply(c,add(Y,add(X_39,c))) = add(multiply(c,Y),multiply(c,add(X_39,b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(Y,add(X_39,c))),add(multiply(c,Y),multiply(c,add(X_39,c)))) ),[1,1],$fot(multiply(c,add(X_39,b)))]]) ).
cnf(refute_0_1771,plain,
( multiply(c,add(Y,add(X_39,c))) != add(multiply(c,Y),multiply(c,add(X_39,c)))
| multiply(c,add(Y,add(X_39,c))) = add(multiply(c,Y),multiply(c,add(X_39,b))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(X_39,c)),multiply(c,add(X_39,b))) )],[refute_0_1362,refute_0_1770]) ).
cnf(refute_0_1772,plain,
multiply(c,add(Y,add(X_39,c))) = add(multiply(c,Y),multiply(c,add(X_39,b))),
inference(resolve,[$cnf( $equal(multiply(c,add(Y,add(X_39,c))),add(multiply(c,Y),multiply(c,add(X_39,c)))) )],[refute_0_1769,refute_0_1771]) ).
cnf(refute_0_1773,plain,
add(multiply(c,Y),multiply(c,add(X_39,b))) = multiply(c,add(Y,add(X_39,b))),
inference(subst,[],[refute_0_90:[bind(X,$fot(c)),bind(Z,$fot(add(X_39,b)))]]) ).
cnf(refute_0_1774,plain,
( multiply(c,add(Y,add(X_39,c))) != add(multiply(c,Y),multiply(c,add(X_39,b)))
| add(multiply(c,Y),multiply(c,add(X_39,b))) != multiply(c,add(Y,add(X_39,b)))
| multiply(c,add(Y,add(X_39,c))) = multiply(c,add(Y,add(X_39,b))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(Y,add(X_39,c))),multiply(c,add(Y,add(X_39,b)))) ),[0],$fot(add(multiply(c,Y),multiply(c,add(X_39,b))))]]) ).
cnf(refute_0_1775,plain,
( multiply(c,add(Y,add(X_39,c))) != add(multiply(c,Y),multiply(c,add(X_39,b)))
| multiply(c,add(Y,add(X_39,c))) = multiply(c,add(Y,add(X_39,b))) ),
inference(resolve,[$cnf( $equal(add(multiply(c,Y),multiply(c,add(X_39,b))),multiply(c,add(Y,add(X_39,b)))) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
multiply(c,add(Y,add(X_39,c))) = multiply(c,add(Y,add(X_39,b))),
inference(resolve,[$cnf( $equal(multiply(c,add(Y,add(X_39,c))),add(multiply(c,Y),multiply(c,add(X_39,b)))) )],[refute_0_1772,refute_0_1775]) ).
cnf(refute_0_1777,plain,
multiply(c,add(a,add(a,c))) = multiply(c,add(a,add(a,b))),
inference(subst,[],[refute_0_1776:[bind(Y,$fot(a)),bind(X_39,$fot(a))]]) ).
cnf(refute_0_1778,plain,
multiply(b,multiply(c,add(a,add(a,c)))) = multiply(b,multiply(c,add(a,add(a,c)))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(c,add(a,add(a,c)))))]]) ).
cnf(refute_0_1779,plain,
( multiply(b,multiply(c,add(a,add(a,c)))) != multiply(b,multiply(c,add(a,add(a,c))))
| multiply(c,add(a,add(a,c))) != multiply(c,add(a,add(a,b)))
| multiply(b,multiply(c,add(a,add(a,c)))) = multiply(b,multiply(c,add(a,add(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,c)))),multiply(b,multiply(c,add(a,add(a,c))))) ),[1,1],$fot(multiply(c,add(a,add(a,b))))]]) ).
cnf(refute_0_1780,plain,
( multiply(c,add(a,add(a,c))) != multiply(c,add(a,add(a,b)))
| multiply(b,multiply(c,add(a,add(a,c)))) = multiply(b,multiply(c,add(a,add(a,b)))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,c)))),multiply(b,multiply(c,add(a,add(a,c))))) )],[refute_0_1778,refute_0_1779]) ).
cnf(refute_0_1781,plain,
multiply(b,multiply(c,add(a,add(a,c)))) = multiply(b,multiply(c,add(a,add(a,b)))),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,c))),multiply(c,add(a,add(a,b)))) )],[refute_0_1777,refute_0_1780]) ).
cnf(refute_0_1782,plain,
( multiply(b,multiply(c,add(a,add(a,c)))) != multiply(b,multiply(a,add(a,add(a,b))))
| multiply(b,multiply(c,add(a,add(a,c)))) != multiply(b,multiply(c,add(a,add(a,b))))
| multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,multiply(a,add(a,add(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,c)))),multiply(b,multiply(a,add(a,add(a,b))))) ),[0],$fot(multiply(b,multiply(c,add(a,add(a,b)))))]]) ).
cnf(refute_0_1783,plain,
( multiply(b,multiply(c,add(a,add(a,c)))) != multiply(b,multiply(a,add(a,add(a,b))))
| multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,multiply(a,add(a,add(a,b)))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,c)))),multiply(b,multiply(c,add(a,add(a,b))))) )],[refute_0_1781,refute_0_1782]) ).
cnf(refute_0_1784,plain,
multiply(b,multiply(a,add(a,add(a,b)))) = multiply(b,multiply(a,add(a,add(a,b)))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(a,add(a,add(a,b)))))]]) ).
cnf(refute_0_1785,plain,
( multiply(a,add(a,add(a,b))) != add(a,add(a,c))
| multiply(b,multiply(a,add(a,add(a,b)))) != multiply(b,multiply(a,add(a,add(a,b))))
| multiply(b,multiply(a,add(a,add(a,b)))) = multiply(b,add(a,add(a,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(a,add(a,add(a,b)))),multiply(b,multiply(a,add(a,add(a,b))))) ),[1,1],$fot(add(a,add(a,c)))]]) ).
cnf(refute_0_1786,plain,
( multiply(a,add(a,add(a,b))) != add(a,add(a,c))
| multiply(b,multiply(a,add(a,add(a,b)))) = multiply(b,add(a,add(a,c))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,add(a,add(a,b)))),multiply(b,multiply(a,add(a,add(a,b))))) )],[refute_0_1784,refute_0_1785]) ).
cnf(refute_0_1787,plain,
multiply(b,multiply(a,add(a,add(a,b)))) = multiply(b,add(a,add(a,c))),
inference(resolve,[$cnf( $equal(multiply(a,add(a,add(a,b))),add(a,add(a,c))) )],[refute_0_1765,refute_0_1786]) ).
cnf(refute_0_1788,plain,
( multiply(b,multiply(a,add(a,add(a,b)))) != multiply(b,add(a,add(a,c)))
| multiply(b,multiply(c,add(a,add(a,b)))) != multiply(b,multiply(a,add(a,add(a,b))))
| multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,add(a,add(a,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,multiply(a,add(a,add(a,b))))) ),[1],$fot(multiply(b,add(a,add(a,c))))]]) ).
cnf(refute_0_1789,plain,
( multiply(b,multiply(c,add(a,add(a,b)))) != multiply(b,multiply(a,add(a,add(a,b))))
| multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,add(a,add(a,c))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,add(a,add(a,b)))),multiply(b,add(a,add(a,c)))) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
( multiply(b,multiply(c,add(a,add(a,c)))) != multiply(b,multiply(a,add(a,add(a,b))))
| multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,add(a,add(a,c))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,multiply(a,add(a,add(a,b))))) )],[refute_0_1783,refute_0_1789]) ).
cnf(refute_0_1791,plain,
multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,add(a,add(a,c))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,c)))),multiply(b,multiply(a,add(a,add(a,b))))) )],[refute_0_1768,refute_0_1790]) ).
cnf(refute_0_1792,plain,
( multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) != add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29))
| multiply(b,multiply(c,add(a,add(a,b)))) != multiply(b,add(a,add(a,c)))
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)),add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29))) ),[0,1,0],$fot(multiply(b,add(a,add(a,c))))]]) ).
cnf(refute_0_1793,plain,
( multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) != add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29))
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,add(a,add(a,c)))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)),add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29))) )],[refute_0_1756,refute_0_1793]) ).
cnf(refute_0_1795,plain,
multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) = add(multiply(c,multiply(c,X_16)),multiply(a,X_46)),
inference(subst,[],[refute_0_1500:[bind(X_16,$fot(multiply(c,X_16))),bind(X_29,$fot(X_46))]]) ).
cnf(refute_0_1796,plain,
multiply(c,multiply(c,X_16)) = multiply(c,X_16),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(c))]]) ).
cnf(refute_0_1797,plain,
( multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) != add(multiply(c,multiply(c,X_16)),multiply(a,X_46))
| multiply(c,multiply(c,X_16)) != multiply(c,X_16)
| multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) = add(multiply(c,X_16),multiply(a,X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,multiply(c,X_16)),X_46)),add(multiply(c,multiply(c,X_16)),multiply(a,X_46))) ),[1,0],$fot(multiply(c,X_16))]]) ).
cnf(refute_0_1798,plain,
( multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) != add(multiply(c,multiply(c,X_16)),multiply(a,X_46))
| multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) = add(multiply(c,X_16),multiply(a,X_46)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,X_16)),multiply(c,X_16)) )],[refute_0_1796,refute_0_1797]) ).
cnf(refute_0_1799,plain,
multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) = add(multiply(c,X_16),multiply(a,X_46)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,multiply(c,X_16)),X_46)),add(multiply(c,multiply(c,X_16)),multiply(a,X_46))) )],[refute_0_1795,refute_0_1798]) ).
cnf(refute_0_1800,plain,
( multiply(a,add(multiply(b,X_16),X_29)) != add(multiply(c,X_16),multiply(a,X_29))
| add(multiply(c,X_16),multiply(a,X_29)) = multiply(a,add(multiply(b,X_16),X_29)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,add(multiply(b,X_16),X_29)))),bind(Y0,$fot(add(multiply(c,X_16),multiply(a,X_29))))]]) ).
cnf(refute_0_1801,plain,
add(multiply(c,X_16),multiply(a,X_29)) = multiply(a,add(multiply(b,X_16),X_29)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,X_16),X_29)),add(multiply(c,X_16),multiply(a,X_29))) )],[refute_0_1500,refute_0_1800]) ).
cnf(refute_0_1802,plain,
add(multiply(c,X_16),multiply(a,X_46)) = multiply(a,add(multiply(b,X_16),X_46)),
inference(subst,[],[refute_0_1801:[bind(X_29,$fot(X_46))]]) ).
cnf(refute_0_1803,plain,
( multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) != add(multiply(c,X_16),multiply(a,X_46))
| add(multiply(c,X_16),multiply(a,X_46)) != multiply(a,add(multiply(b,X_16),X_46))
| multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) = multiply(a,add(multiply(b,X_16),X_46)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(multiply(b,multiply(c,X_16)),X_46)),multiply(a,add(multiply(b,X_16),X_46))) ),[0],$fot(add(multiply(c,X_16),multiply(a,X_46)))]]) ).
cnf(refute_0_1804,plain,
( multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) != add(multiply(c,X_16),multiply(a,X_46))
| multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) = multiply(a,add(multiply(b,X_16),X_46)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,X_16),multiply(a,X_46)),multiply(a,add(multiply(b,X_16),X_46))) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
multiply(a,add(multiply(b,multiply(c,X_16)),X_46)) = multiply(a,add(multiply(b,X_16),X_46)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,multiply(c,X_16)),X_46)),add(multiply(c,X_16),multiply(a,X_46))) )],[refute_0_1799,refute_0_1804]) ).
cnf(refute_0_1806,plain,
multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) = multiply(a,add(multiply(b,add(a,add(a,b))),X_29)),
inference(subst,[],[refute_0_1805:[bind(X_16,$fot(add(a,add(a,b)))),bind(X_46,$fot(X_29))]]) ).
cnf(refute_0_1807,plain,
add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)) = multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)),
inference(subst,[],[refute_0_1801:[bind(X_16,$fot(multiply(c,add(a,add(a,b)))))]]) ).
cnf(refute_0_1808,plain,
( multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) != multiply(a,add(multiply(b,add(a,add(a,b))),X_29))
| add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)) != multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29))
| add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)) = multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)))),bind(Y0,$fot(multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)))),bind(Z0,$fot(multiply(a,add(multiply(b,add(a,add(a,b))),X_29))))]]) ).
cnf(refute_0_1809,plain,
( multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) != multiply(a,add(multiply(b,add(a,add(a,b))),X_29))
| add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)) = multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)),multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)) = multiply(a,add(multiply(b,add(a,add(a,b))),X_29)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)),multiply(a,add(multiply(b,add(a,add(a,b))),X_29))) )],[refute_0_1806,refute_0_1809]) ).
cnf(refute_0_1811,plain,
( multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) != add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29))
| add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)) != multiply(a,add(multiply(b,add(a,add(a,b))),X_29))
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),multiply(a,add(multiply(b,add(a,add(a,b))),X_29))) ),[0],$fot(add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)))]]) ).
cnf(refute_0_1812,plain,
( multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) != add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29))
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29)),multiply(a,add(multiply(b,add(a,add(a,b))),X_29))) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(multiply(b,add(a,add(a,b))),X_29)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),add(multiply(c,multiply(c,add(a,add(a,b)))),multiply(a,X_29))) )],[refute_0_1794,refute_0_1812]) ).
cnf(refute_0_1814,plain,
multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) = add(multiply(c,add(a,add(a,b))),multiply(a,X_29)),
inference(subst,[],[refute_0_1500:[bind(X_16,$fot(add(a,add(a,b))))]]) ).
cnf(refute_0_1815,plain,
( multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) != add(multiply(c,add(a,add(a,b))),multiply(a,X_29))
| multiply(c,add(a,add(a,b))) != add(c,multiply(additive_identity,a))
| multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) = add(add(c,multiply(additive_identity,a)),multiply(a,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,b))),X_29)),add(multiply(c,add(a,add(a,b))),multiply(a,X_29))) ),[1,0],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1816,plain,
( multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) != add(multiply(c,add(a,add(a,b))),multiply(a,X_29))
| multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) = add(add(c,multiply(additive_identity,a)),multiply(a,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,b))),add(c,multiply(additive_identity,a))) )],[refute_0_1715,refute_0_1815]) ).
cnf(refute_0_1817,plain,
multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) = add(add(c,multiply(additive_identity,a)),multiply(a,X_29)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,b))),X_29)),add(multiply(c,add(a,add(a,b))),multiply(a,X_29))) )],[refute_0_1814,refute_0_1816]) ).
cnf(refute_0_1818,plain,
multiply(a,add(add(b,multiply(additive_identity,a)),Z)) = add(multiply(a,add(b,multiply(additive_identity,a))),multiply(a,Z)),
inference(subst,[],[distribute1:[bind(X,$fot(a)),bind(Y,$fot(add(b,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1819,plain,
( multiply(a,add(add(b,multiply(additive_identity,a)),Z)) != add(multiply(a,add(b,multiply(additive_identity,a))),multiply(a,Z))
| multiply(a,add(b,multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(a,add(add(b,multiply(additive_identity,a)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,multiply(additive_identity,a)),Z)),add(multiply(a,add(b,multiply(additive_identity,a))),multiply(a,Z))) ),[1,0],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1820,plain,
( multiply(a,add(add(b,multiply(additive_identity,a)),Z)) != add(multiply(a,add(b,multiply(additive_identity,a))),multiply(a,Z))
| multiply(a,add(add(b,multiply(additive_identity,a)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) )],[refute_0_1539,refute_0_1819]) ).
cnf(refute_0_1821,plain,
multiply(a,add(add(b,multiply(additive_identity,a)),Z)) = add(add(c,multiply(additive_identity,a)),multiply(a,Z)),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,multiply(additive_identity,a)),Z)),add(multiply(a,add(b,multiply(additive_identity,a))),multiply(a,Z))) )],[refute_0_1818,refute_0_1820]) ).
cnf(refute_0_1822,plain,
multiply(a,add(add(b,multiply(additive_identity,a)),Z)) = multiply(a,add(add(b,multiply(additive_identity,a)),Z)),
introduced(tautology,[refl,[$fot(multiply(a,add(add(b,multiply(additive_identity,a)),Z)))]]) ).
cnf(refute_0_1823,plain,
( multiply(a,add(add(b,multiply(additive_identity,a)),Z)) != multiply(a,add(add(b,multiply(additive_identity,a)),Z))
| add(add(b,multiply(additive_identity,a)),Z) != add(b,add(multiply(additive_identity,a),Z))
| multiply(a,add(add(b,multiply(additive_identity,a)),Z)) = multiply(a,add(b,add(multiply(additive_identity,a),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,multiply(additive_identity,a)),Z)),multiply(a,add(add(b,multiply(additive_identity,a)),Z))) ),[1,1],$fot(add(b,add(multiply(additive_identity,a),Z)))]]) ).
cnf(refute_0_1824,plain,
( add(add(b,multiply(additive_identity,a)),Z) != add(b,add(multiply(additive_identity,a),Z))
| multiply(a,add(add(b,multiply(additive_identity,a)),Z)) = multiply(a,add(b,add(multiply(additive_identity,a),Z))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,multiply(additive_identity,a)),Z)),multiply(a,add(add(b,multiply(additive_identity,a)),Z))) )],[refute_0_1822,refute_0_1823]) ).
cnf(refute_0_1825,plain,
multiply(a,add(add(b,multiply(additive_identity,a)),Z)) = multiply(a,add(b,add(multiply(additive_identity,a),Z))),
inference(resolve,[$cnf( $equal(add(add(b,multiply(additive_identity,a)),Z),add(b,add(multiply(additive_identity,a),Z))) )],[refute_0_1629,refute_0_1824]) ).
cnf(refute_0_1826,plain,
( multiply(a,add(add(b,multiply(additive_identity,a)),Z)) != multiply(a,add(b,add(multiply(additive_identity,a),Z)))
| multiply(a,add(add(b,multiply(additive_identity,a)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(a,Z))
| multiply(a,add(b,add(multiply(additive_identity,a),Z))) = add(add(c,multiply(additive_identity,a)),multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(add(b,multiply(additive_identity,a)),Z)),add(add(c,multiply(additive_identity,a)),multiply(a,Z))) ),[0],$fot(multiply(a,add(b,add(multiply(additive_identity,a),Z))))]]) ).
cnf(refute_0_1827,plain,
( multiply(a,add(add(b,multiply(additive_identity,a)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(a,Z))
| multiply(a,add(b,add(multiply(additive_identity,a),Z))) = add(add(c,multiply(additive_identity,a)),multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,multiply(additive_identity,a)),Z)),multiply(a,add(b,add(multiply(additive_identity,a),Z)))) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
add(add(c,multiply(additive_identity,a)),multiply(a,Z)) = add(c,add(multiply(additive_identity,a),multiply(a,Z))),
inference(subst,[],[refute_0_205:[bind(X,$fot(c)),bind(Y,$fot(multiply(additive_identity,a))),bind(Z,$fot(multiply(a,Z)))]]) ).
cnf(refute_0_1829,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),Z))) != add(add(c,multiply(additive_identity,a)),multiply(a,Z))
| add(add(c,multiply(additive_identity,a)),multiply(a,Z)) != add(c,add(multiply(additive_identity,a),multiply(a,Z)))
| multiply(a,add(b,add(multiply(additive_identity,a),Z))) = add(c,add(multiply(additive_identity,a),multiply(a,Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,add(multiply(additive_identity,a),Z))),add(c,add(multiply(additive_identity,a),multiply(a,Z)))) ),[0],$fot(add(add(c,multiply(additive_identity,a)),multiply(a,Z)))]]) ).
cnf(refute_0_1830,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),Z))) != add(add(c,multiply(additive_identity,a)),multiply(a,Z))
| multiply(a,add(b,add(multiply(additive_identity,a),Z))) = add(c,add(multiply(additive_identity,a),multiply(a,Z))) ),
inference(resolve,[$cnf( $equal(add(add(c,multiply(additive_identity,a)),multiply(a,Z)),add(c,add(multiply(additive_identity,a),multiply(a,Z)))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
( multiply(a,add(add(b,multiply(additive_identity,a)),Z)) != add(add(c,multiply(additive_identity,a)),multiply(a,Z))
| multiply(a,add(b,add(multiply(additive_identity,a),Z))) = add(c,add(multiply(additive_identity,a),multiply(a,Z))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(additive_identity,a),Z))),add(add(c,multiply(additive_identity,a)),multiply(a,Z))) )],[refute_0_1827,refute_0_1830]) ).
cnf(refute_0_1832,plain,
multiply(a,add(b,add(multiply(additive_identity,a),Z))) = add(c,add(multiply(additive_identity,a),multiply(a,Z))),
inference(resolve,[$cnf( $equal(multiply(a,add(add(b,multiply(additive_identity,a)),Z)),add(add(c,multiply(additive_identity,a)),multiply(a,Z))) )],[refute_0_1821,refute_0_1831]) ).
cnf(refute_0_1833,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),Z))) != add(c,add(multiply(additive_identity,a),multiply(a,Z)))
| add(c,add(multiply(additive_identity,a),multiply(a,Z))) = multiply(a,add(b,add(multiply(additive_identity,a),Z))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,add(b,add(multiply(additive_identity,a),Z))))),bind(Y0,$fot(add(c,add(multiply(additive_identity,a),multiply(a,Z)))))]]) ).
cnf(refute_0_1834,plain,
add(c,add(multiply(additive_identity,a),multiply(a,Z))) = multiply(a,add(b,add(multiply(additive_identity,a),Z))),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(additive_identity,a),Z))),add(c,add(multiply(additive_identity,a),multiply(a,Z)))) )],[refute_0_1832,refute_0_1833]) ).
cnf(refute_0_1835,plain,
add(c,add(multiply(additive_identity,a),multiply(a,X_29))) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))),
inference(subst,[],[refute_0_1834:[bind(Z,$fot(X_29))]]) ).
cnf(refute_0_1836,plain,
add(add(c,multiply(additive_identity,a)),multiply(a,X_29)) = add(c,add(multiply(additive_identity,a),multiply(a,X_29))),
inference(subst,[],[refute_0_205:[bind(X,$fot(c)),bind(Y,$fot(multiply(additive_identity,a))),bind(Z,$fot(multiply(a,X_29)))]]) ).
cnf(refute_0_1837,plain,
( add(add(c,multiply(additive_identity,a)),multiply(a,X_29)) != add(c,add(multiply(additive_identity,a),multiply(a,X_29)))
| add(c,add(multiply(additive_identity,a),multiply(a,X_29))) != multiply(a,add(b,add(multiply(additive_identity,a),X_29)))
| add(add(c,multiply(additive_identity,a)),multiply(a,X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(c,multiply(additive_identity,a)),multiply(a,X_29)))),bind(Y0,$fot(add(c,add(multiply(additive_identity,a),multiply(a,X_29))))),bind(Z0,$fot(multiply(a,add(b,add(multiply(additive_identity,a),X_29)))))]]) ).
cnf(refute_0_1838,plain,
( add(c,add(multiply(additive_identity,a),multiply(a,X_29))) != multiply(a,add(b,add(multiply(additive_identity,a),X_29)))
| add(add(c,multiply(additive_identity,a)),multiply(a,X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))) ),
inference(resolve,[$cnf( $equal(add(add(c,multiply(additive_identity,a)),multiply(a,X_29)),add(c,add(multiply(additive_identity,a),multiply(a,X_29)))) )],[refute_0_1836,refute_0_1837]) ).
cnf(refute_0_1839,plain,
add(add(c,multiply(additive_identity,a)),multiply(a,X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))),
inference(resolve,[$cnf( $equal(add(c,add(multiply(additive_identity,a),multiply(a,X_29))),multiply(a,add(b,add(multiply(additive_identity,a),X_29)))) )],[refute_0_1835,refute_0_1838]) ).
cnf(refute_0_1840,plain,
( multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) != add(add(c,multiply(additive_identity,a)),multiply(a,X_29))
| add(add(c,multiply(additive_identity,a)),multiply(a,X_29)) != multiply(a,add(b,add(multiply(additive_identity,a),X_29)))
| multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(multiply(b,add(a,add(a,b))),X_29)),multiply(a,add(b,add(multiply(additive_identity,a),X_29)))) ),[0],$fot(add(add(c,multiply(additive_identity,a)),multiply(a,X_29)))]]) ).
cnf(refute_0_1841,plain,
( multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) != add(add(c,multiply(additive_identity,a)),multiply(a,X_29))
| multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))) ),
inference(resolve,[$cnf( $equal(add(add(c,multiply(additive_identity,a)),multiply(a,X_29)),multiply(a,add(b,add(multiply(additive_identity,a),X_29)))) )],[refute_0_1839,refute_0_1840]) ).
cnf(refute_0_1842,plain,
multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,b))),X_29)),add(add(c,multiply(additive_identity,a)),multiply(a,X_29))) )],[refute_0_1817,refute_0_1841]) ).
cnf(refute_0_1843,plain,
( multiply(a,add(multiply(b,add(a,add(a,b))),X_29)) != multiply(a,add(b,add(multiply(additive_identity,a),X_29)))
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(a,add(multiply(b,add(a,add(a,b))),X_29))
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),multiply(a,add(multiply(b,add(a,add(a,b))),X_29))) ),[1],$fot(multiply(a,add(b,add(multiply(additive_identity,a),X_29))))]]) ).
cnf(refute_0_1844,plain,
( multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(a,add(multiply(b,add(a,add(a,b))),X_29))
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,b))),X_29)),multiply(a,add(b,add(multiply(additive_identity,a),X_29)))) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),multiply(a,add(multiply(b,add(a,add(a,b))),X_29))) )],[refute_0_1813,refute_0_1844]) ).
cnf(refute_0_1846,plain,
multiply(add(a,additive_identity),a) = multiply(add(a,additive_identity),a),
introduced(tautology,[refl,[$fot(multiply(add(a,additive_identity),a))]]) ).
cnf(refute_0_1847,plain,
( multiply(add(a,additive_identity),a) != multiply(add(a,additive_identity),a)
| add(a,additive_identity) != a
| multiply(add(a,additive_identity),a) = multiply(a,a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_identity),a),multiply(add(a,additive_identity),a)) ),[1,0],$fot(a)]]) ).
cnf(refute_0_1848,plain,
( add(a,additive_identity) != a
| multiply(add(a,additive_identity),a) = multiply(a,a) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_identity),a),multiply(add(a,additive_identity),a)) )],[refute_0_1846,refute_0_1847]) ).
cnf(refute_0_1849,plain,
multiply(add(a,additive_identity),a) = multiply(a,a),
inference(resolve,[$cnf( $equal(add(a,additive_identity),a) )],[refute_0_684,refute_0_1848]) ).
cnf(refute_0_1850,plain,
( multiply(add(a,additive_identity),a) != multiply(a,a)
| multiply(a,a) != a
| multiply(add(a,additive_identity),a) = a ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(a,additive_identity),a))),bind(Y0,$fot(multiply(a,a))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_1851,plain,
( multiply(a,a) != a
| multiply(add(a,additive_identity),a) = a ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_identity),a),multiply(a,a)) )],[refute_0_1849,refute_0_1850]) ).
cnf(refute_0_1852,plain,
multiply(add(a,additive_identity),a) = a,
inference(resolve,[$cnf( $equal(multiply(a,a),a) )],[refute_0_606,refute_0_1851]) ).
cnf(refute_0_1853,plain,
multiply(add(additive_identity,a),a) = multiply(add(a,additive_identity),a),
inference(subst,[],[refute_0_630:[bind(X_49,$fot(additive_identity)),bind(X_50,$fot(a)),bind(X_51,$fot(a))]]) ).
cnf(refute_0_1854,plain,
add(a,multiply(additive_identity,a)) = multiply(add(additive_identity,a),a),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(additive_identity)),bind(X_51,$fot(a))]]) ).
cnf(refute_0_1855,plain,
( multiply(add(additive_identity,a),a) != multiply(add(a,additive_identity),a)
| add(a,multiply(additive_identity,a)) != multiply(add(additive_identity,a),a)
| add(a,multiply(additive_identity,a)) = multiply(add(a,additive_identity),a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(a,multiply(additive_identity,a)))),bind(Y0,$fot(multiply(add(additive_identity,a),a))),bind(Z0,$fot(multiply(add(a,additive_identity),a)))]]) ).
cnf(refute_0_1856,plain,
( multiply(add(additive_identity,a),a) != multiply(add(a,additive_identity),a)
| add(a,multiply(additive_identity,a)) = multiply(add(a,additive_identity),a) ),
inference(resolve,[$cnf( $equal(add(a,multiply(additive_identity,a)),multiply(add(additive_identity,a),a)) )],[refute_0_1854,refute_0_1855]) ).
cnf(refute_0_1857,plain,
add(a,multiply(additive_identity,a)) = multiply(add(a,additive_identity),a),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,a),a),multiply(add(a,additive_identity),a)) )],[refute_0_1853,refute_0_1856]) ).
cnf(refute_0_1858,plain,
( multiply(add(a,additive_identity),a) != a
| add(a,multiply(additive_identity,a)) != multiply(add(a,additive_identity),a)
| add(a,multiply(additive_identity,a)) = a ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(a,multiply(additive_identity,a)))),bind(Y0,$fot(multiply(add(a,additive_identity),a))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_1859,plain,
( multiply(add(a,additive_identity),a) != a
| add(a,multiply(additive_identity,a)) = a ),
inference(resolve,[$cnf( $equal(add(a,multiply(additive_identity,a)),multiply(add(a,additive_identity),a)) )],[refute_0_1857,refute_0_1858]) ).
cnf(refute_0_1860,plain,
add(a,multiply(additive_identity,a)) = a,
inference(resolve,[$cnf( $equal(multiply(add(a,additive_identity),a),a) )],[refute_0_1852,refute_0_1859]) ).
cnf(refute_0_1861,plain,
multiply(b,add(a,multiply(additive_identity,a))) = multiply(b,add(a,multiply(additive_identity,a))),
introduced(tautology,[refl,[$fot(multiply(b,add(a,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1862,plain,
( multiply(b,add(a,multiply(additive_identity,a))) != multiply(b,add(a,multiply(additive_identity,a)))
| add(a,multiply(additive_identity,a)) != a
| multiply(b,add(a,multiply(additive_identity,a))) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(a,multiply(additive_identity,a))),multiply(b,add(a,multiply(additive_identity,a)))) ),[1,1],$fot(a)]]) ).
cnf(refute_0_1863,plain,
( add(a,multiply(additive_identity,a)) != a
| multiply(b,add(a,multiply(additive_identity,a))) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,add(a,multiply(additive_identity,a))),multiply(b,add(a,multiply(additive_identity,a)))) )],[refute_0_1861,refute_0_1862]) ).
cnf(refute_0_1864,plain,
multiply(b,add(a,multiply(additive_identity,a))) = multiply(b,a),
inference(resolve,[$cnf( $equal(add(a,multiply(additive_identity,a)),a) )],[refute_0_1860,refute_0_1863]) ).
cnf(refute_0_1865,plain,
multiply(b,add(Y,multiply(c,add(a,b)))) = add(multiply(b,Y),multiply(b,multiply(c,add(a,b)))),
inference(subst,[],[distribute1:[bind(X,$fot(b)),bind(Z,$fot(multiply(c,add(a,b))))]]) ).
cnf(refute_0_1866,plain,
multiply(b,multiply(c,multiply(a,add(a,b)))) = multiply(b,multiply(a,add(a,b))),
inference(subst,[],[refute_0_1085:[bind(Z,$fot(add(a,b)))]]) ).
cnf(refute_0_1867,plain,
( multiply(a,add(a,b)) != add(a,c)
| multiply(b,multiply(c,multiply(a,add(a,b)))) != multiply(b,multiply(a,add(a,b)))
| multiply(b,multiply(c,add(a,c))) = multiply(b,multiply(a,add(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,multiply(a,add(a,b)))),multiply(b,multiply(a,add(a,b)))) ),[0,1,1],$fot(add(a,c))]]) ).
cnf(refute_0_1868,plain,
( multiply(b,multiply(c,multiply(a,add(a,b)))) != multiply(b,multiply(a,add(a,b)))
| multiply(b,multiply(c,add(a,c))) = multiply(b,multiply(a,add(a,b))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(a,b)),add(a,c)) )],[refute_0_613,refute_0_1867]) ).
cnf(refute_0_1869,plain,
multiply(b,multiply(c,add(a,c))) = multiply(b,multiply(a,add(a,b))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,multiply(a,add(a,b)))),multiply(b,multiply(a,add(a,b)))) )],[refute_0_1866,refute_0_1868]) ).
cnf(refute_0_1870,plain,
multiply(b,multiply(c,add(a,c))) = multiply(b,multiply(c,add(a,c))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(c,add(a,c))))]]) ).
cnf(refute_0_1871,plain,
( multiply(b,multiply(c,add(a,c))) != multiply(b,multiply(c,add(a,c)))
| multiply(c,add(a,c)) != multiply(c,add(a,b))
| multiply(b,multiply(c,add(a,c))) = multiply(b,multiply(c,add(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,c))),multiply(b,multiply(c,add(a,c)))) ),[1,1],$fot(multiply(c,add(a,b)))]]) ).
cnf(refute_0_1872,plain,
( multiply(c,add(a,c)) != multiply(c,add(a,b))
| multiply(b,multiply(c,add(a,c))) = multiply(b,multiply(c,add(a,b))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,c))),multiply(b,multiply(c,add(a,c)))) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
multiply(b,multiply(c,add(a,c))) = multiply(b,multiply(c,add(a,b))),
inference(resolve,[$cnf( $equal(multiply(c,add(a,c)),multiply(c,add(a,b))) )],[refute_0_1434,refute_0_1872]) ).
cnf(refute_0_1874,plain,
( multiply(b,multiply(c,add(a,c))) != multiply(b,multiply(a,add(a,b)))
| multiply(b,multiply(c,add(a,c))) != multiply(b,multiply(c,add(a,b)))
| multiply(b,multiply(c,add(a,b))) = multiply(b,multiply(a,add(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,c))),multiply(b,multiply(a,add(a,b)))) ),[0],$fot(multiply(b,multiply(c,add(a,b))))]]) ).
cnf(refute_0_1875,plain,
( multiply(b,multiply(c,add(a,c))) != multiply(b,multiply(a,add(a,b)))
| multiply(b,multiply(c,add(a,b))) = multiply(b,multiply(a,add(a,b))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,c))),multiply(b,multiply(c,add(a,b)))) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
multiply(b,multiply(a,add(a,b))) = multiply(b,multiply(a,add(a,b))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(a,add(a,b))))]]) ).
cnf(refute_0_1877,plain,
( multiply(a,add(a,b)) != add(a,c)
| multiply(b,multiply(a,add(a,b))) != multiply(b,multiply(a,add(a,b)))
| multiply(b,multiply(a,add(a,b))) = multiply(b,add(a,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(a,add(a,b))),multiply(b,multiply(a,add(a,b)))) ),[1,1],$fot(add(a,c))]]) ).
cnf(refute_0_1878,plain,
( multiply(a,add(a,b)) != add(a,c)
| multiply(b,multiply(a,add(a,b))) = multiply(b,add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,add(a,b))),multiply(b,multiply(a,add(a,b)))) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
multiply(b,multiply(a,add(a,b))) = multiply(b,add(a,c)),
inference(resolve,[$cnf( $equal(multiply(a,add(a,b)),add(a,c)) )],[refute_0_613,refute_0_1878]) ).
cnf(refute_0_1880,plain,
( multiply(b,multiply(a,add(a,b))) != multiply(b,add(a,c))
| multiply(b,multiply(c,add(a,b))) != multiply(b,multiply(a,add(a,b)))
| multiply(b,multiply(c,add(a,b))) = multiply(b,add(a,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,b))),multiply(b,multiply(a,add(a,b)))) ),[1],$fot(multiply(b,add(a,c)))]]) ).
cnf(refute_0_1881,plain,
( multiply(b,multiply(c,add(a,b))) != multiply(b,multiply(a,add(a,b)))
| multiply(b,multiply(c,add(a,b))) = multiply(b,add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,add(a,b))),multiply(b,add(a,c))) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
( multiply(b,multiply(c,add(a,c))) != multiply(b,multiply(a,add(a,b)))
| multiply(b,multiply(c,add(a,b))) = multiply(b,add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,b))),multiply(b,multiply(a,add(a,b)))) )],[refute_0_1875,refute_0_1881]) ).
cnf(refute_0_1883,plain,
multiply(b,multiply(c,add(a,b))) = multiply(b,add(a,c)),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,c))),multiply(b,multiply(a,add(a,b)))) )],[refute_0_1869,refute_0_1882]) ).
cnf(refute_0_1884,plain,
( multiply(b,multiply(c,add(a,b))) != multiply(b,add(a,c))
| multiply(b,add(Y,multiply(c,add(a,b)))) != add(multiply(b,Y),multiply(b,multiply(c,add(a,b))))
| multiply(b,add(Y,multiply(c,add(a,b)))) = add(multiply(b,Y),multiply(b,add(a,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(Y,multiply(c,add(a,b)))),add(multiply(b,Y),multiply(b,multiply(c,add(a,b))))) ),[1,1],$fot(multiply(b,add(a,c)))]]) ).
cnf(refute_0_1885,plain,
( multiply(b,add(Y,multiply(c,add(a,b)))) != add(multiply(b,Y),multiply(b,multiply(c,add(a,b))))
| multiply(b,add(Y,multiply(c,add(a,b)))) = add(multiply(b,Y),multiply(b,add(a,c))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,b))),multiply(b,add(a,c))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
multiply(b,add(Y,multiply(c,add(a,b)))) = add(multiply(b,Y),multiply(b,add(a,c))),
inference(resolve,[$cnf( $equal(multiply(b,add(Y,multiply(c,add(a,b)))),add(multiply(b,Y),multiply(b,multiply(c,add(a,b))))) )],[refute_0_1865,refute_0_1885]) ).
cnf(refute_0_1887,plain,
add(multiply(b,Y),multiply(b,add(a,c))) = multiply(b,add(Y,add(a,c))),
inference(subst,[],[refute_0_90:[bind(X,$fot(b)),bind(Z,$fot(add(a,c)))]]) ).
cnf(refute_0_1888,plain,
( multiply(b,add(Y,multiply(c,add(a,b)))) != add(multiply(b,Y),multiply(b,add(a,c)))
| add(multiply(b,Y),multiply(b,add(a,c))) != multiply(b,add(Y,add(a,c)))
| multiply(b,add(Y,multiply(c,add(a,b)))) = multiply(b,add(Y,add(a,c))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(b,add(Y,multiply(c,add(a,b)))),multiply(b,add(Y,add(a,c)))) ),[0],$fot(add(multiply(b,Y),multiply(b,add(a,c))))]]) ).
cnf(refute_0_1889,plain,
( multiply(b,add(Y,multiply(c,add(a,b)))) != add(multiply(b,Y),multiply(b,add(a,c)))
| multiply(b,add(Y,multiply(c,add(a,b)))) = multiply(b,add(Y,add(a,c))) ),
inference(resolve,[$cnf( $equal(add(multiply(b,Y),multiply(b,add(a,c))),multiply(b,add(Y,add(a,c)))) )],[refute_0_1887,refute_0_1888]) ).
cnf(refute_0_1890,plain,
multiply(b,add(Y,multiply(c,add(a,b)))) = multiply(b,add(Y,add(a,c))),
inference(resolve,[$cnf( $equal(multiply(b,add(Y,multiply(c,add(a,b)))),add(multiply(b,Y),multiply(b,add(a,c)))) )],[refute_0_1886,refute_0_1889]) ).
cnf(refute_0_1891,plain,
add(Y,multiply(c,add(a,b))) = add(Y,multiply(c,add(a,b))),
introduced(tautology,[refl,[$fot(add(Y,multiply(c,add(a,b))))]]) ).
cnf(refute_0_1892,plain,
( multiply(c,add(a,b)) != multiply(additive_identity,a)
| add(Y,multiply(c,add(a,b))) != add(Y,multiply(c,add(a,b)))
| add(Y,multiply(c,add(a,b))) = add(Y,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(c,add(a,b))),add(Y,multiply(c,add(a,b)))) ),[1,1],$fot(multiply(additive_identity,a))]]) ).
cnf(refute_0_1893,plain,
( multiply(c,add(a,b)) != multiply(additive_identity,a)
| add(Y,multiply(c,add(a,b))) = add(Y,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(c,add(a,b))),add(Y,multiply(c,add(a,b)))) )],[refute_0_1891,refute_0_1892]) ).
cnf(refute_0_1894,plain,
add(Y,multiply(c,add(a,b))) = add(Y,multiply(additive_identity,a)),
inference(resolve,[$cnf( $equal(multiply(c,add(a,b)),multiply(additive_identity,a)) )],[refute_0_1440,refute_0_1893]) ).
cnf(refute_0_1895,plain,
multiply(b,add(Y,multiply(c,add(a,b)))) = multiply(b,add(Y,multiply(c,add(a,b)))),
introduced(tautology,[refl,[$fot(multiply(b,add(Y,multiply(c,add(a,b)))))]]) ).
cnf(refute_0_1896,plain,
( multiply(b,add(Y,multiply(c,add(a,b)))) != multiply(b,add(Y,multiply(c,add(a,b))))
| add(Y,multiply(c,add(a,b))) != add(Y,multiply(additive_identity,a))
| multiply(b,add(Y,multiply(c,add(a,b)))) = multiply(b,add(Y,multiply(additive_identity,a))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(Y,multiply(c,add(a,b)))),multiply(b,add(Y,multiply(c,add(a,b))))) ),[1,1],$fot(add(Y,multiply(additive_identity,a)))]]) ).
cnf(refute_0_1897,plain,
( add(Y,multiply(c,add(a,b))) != add(Y,multiply(additive_identity,a))
| multiply(b,add(Y,multiply(c,add(a,b)))) = multiply(b,add(Y,multiply(additive_identity,a))) ),
inference(resolve,[$cnf( $equal(multiply(b,add(Y,multiply(c,add(a,b)))),multiply(b,add(Y,multiply(c,add(a,b))))) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
multiply(b,add(Y,multiply(c,add(a,b)))) = multiply(b,add(Y,multiply(additive_identity,a))),
inference(resolve,[$cnf( $equal(add(Y,multiply(c,add(a,b))),add(Y,multiply(additive_identity,a))) )],[refute_0_1894,refute_0_1897]) ).
cnf(refute_0_1899,plain,
( multiply(b,add(Y,multiply(c,add(a,b)))) != multiply(b,add(Y,multiply(additive_identity,a)))
| multiply(b,add(Y,multiply(c,add(a,b)))) != multiply(b,add(Y,add(a,c)))
| multiply(b,add(Y,multiply(additive_identity,a))) = multiply(b,add(Y,add(a,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(Y,multiply(c,add(a,b)))),multiply(b,add(Y,add(a,c)))) ),[0],$fot(multiply(b,add(Y,multiply(additive_identity,a))))]]) ).
cnf(refute_0_1900,plain,
( multiply(b,add(Y,multiply(c,add(a,b)))) != multiply(b,add(Y,add(a,c)))
| multiply(b,add(Y,multiply(additive_identity,a))) = multiply(b,add(Y,add(a,c))) ),
inference(resolve,[$cnf( $equal(multiply(b,add(Y,multiply(c,add(a,b)))),multiply(b,add(Y,multiply(additive_identity,a)))) )],[refute_0_1898,refute_0_1899]) ).
cnf(refute_0_1901,plain,
multiply(b,add(Y,multiply(additive_identity,a))) = multiply(b,add(Y,add(a,c))),
inference(resolve,[$cnf( $equal(multiply(b,add(Y,multiply(c,add(a,b)))),multiply(b,add(Y,add(a,c)))) )],[refute_0_1890,refute_0_1900]) ).
cnf(refute_0_1902,plain,
( multiply(b,add(Y,multiply(additive_identity,a))) != multiply(b,add(Y,add(a,c)))
| multiply(b,add(Y,add(a,c))) = multiply(b,add(Y,multiply(additive_identity,a))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(b,add(Y,multiply(additive_identity,a))))),bind(Y0,$fot(multiply(b,add(Y,add(a,c)))))]]) ).
cnf(refute_0_1903,plain,
multiply(b,add(Y,add(a,c))) = multiply(b,add(Y,multiply(additive_identity,a))),
inference(resolve,[$cnf( $equal(multiply(b,add(Y,multiply(additive_identity,a))),multiply(b,add(Y,add(a,c)))) )],[refute_0_1901,refute_0_1902]) ).
cnf(refute_0_1904,plain,
multiply(b,add(a,add(a,c))) = multiply(b,add(a,multiply(additive_identity,a))),
inference(subst,[],[refute_0_1903:[bind(Y,$fot(a))]]) ).
cnf(refute_0_1905,plain,
( multiply(b,add(a,multiply(additive_identity,a))) != multiply(b,a)
| multiply(b,add(a,add(a,c))) != multiply(b,add(a,multiply(additive_identity,a)))
| multiply(b,add(a,add(a,c))) = multiply(b,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(b,add(a,add(a,c))))),bind(Y0,$fot(multiply(b,add(a,multiply(additive_identity,a))))),bind(Z0,$fot(multiply(b,a)))]]) ).
cnf(refute_0_1906,plain,
( multiply(b,add(a,multiply(additive_identity,a))) != multiply(b,a)
| multiply(b,add(a,add(a,c))) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,add(a,add(a,c))),multiply(b,add(a,multiply(additive_identity,a)))) )],[refute_0_1904,refute_0_1905]) ).
cnf(refute_0_1907,plain,
multiply(b,add(a,add(a,c))) = multiply(b,a),
inference(resolve,[$cnf( $equal(multiply(b,add(a,multiply(additive_identity,a))),multiply(b,a)) )],[refute_0_1864,refute_0_1906]) ).
cnf(refute_0_1908,plain,
add(multiply(b,add(a,add(a,c))),X_29) = add(multiply(b,add(a,add(a,c))),X_29),
introduced(tautology,[refl,[$fot(add(multiply(b,add(a,add(a,c))),X_29))]]) ).
cnf(refute_0_1909,plain,
( multiply(b,add(a,add(a,c))) != multiply(b,a)
| add(multiply(b,add(a,add(a,c))),X_29) != add(multiply(b,add(a,add(a,c))),X_29)
| add(multiply(b,add(a,add(a,c))),X_29) = add(multiply(b,a),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(b,add(a,add(a,c))),X_29),add(multiply(b,add(a,add(a,c))),X_29)) ),[1,0],$fot(multiply(b,a))]]) ).
cnf(refute_0_1910,plain,
( multiply(b,add(a,add(a,c))) != multiply(b,a)
| add(multiply(b,add(a,add(a,c))),X_29) = add(multiply(b,a),X_29) ),
inference(resolve,[$cnf( $equal(add(multiply(b,add(a,add(a,c))),X_29),add(multiply(b,add(a,add(a,c))),X_29)) )],[refute_0_1908,refute_0_1909]) ).
cnf(refute_0_1911,plain,
add(multiply(b,add(a,add(a,c))),X_29) = add(multiply(b,a),X_29),
inference(resolve,[$cnf( $equal(multiply(b,add(a,add(a,c))),multiply(b,a)) )],[refute_0_1907,refute_0_1910]) ).
cnf(refute_0_1912,plain,
multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),
introduced(tautology,[refl,[$fot(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)))]]) ).
cnf(refute_0_1913,plain,
( multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(a,add(multiply(b,add(a,add(a,c))),X_29))
| add(multiply(b,add(a,add(a,c))),X_29) != add(multiply(b,a),X_29)
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(multiply(b,a),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),multiply(a,add(multiply(b,add(a,add(a,c))),X_29))) ),[1,1],$fot(add(multiply(b,a),X_29))]]) ).
cnf(refute_0_1914,plain,
( add(multiply(b,add(a,add(a,c))),X_29) != add(multiply(b,a),X_29)
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(multiply(b,a),X_29)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),multiply(a,add(multiply(b,add(a,add(a,c))),X_29))) )],[refute_0_1912,refute_0_1913]) ).
cnf(refute_0_1915,plain,
multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(a,add(multiply(b,a),X_29)),
inference(resolve,[$cnf( $equal(add(multiply(b,add(a,add(a,c))),X_29),add(multiply(b,a),X_29)) )],[refute_0_1911,refute_0_1914]) ).
cnf(refute_0_1916,plain,
( multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(a,add(multiply(b,a),X_29))
| multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(a,add(b,add(multiply(additive_identity,a),X_29)))
| multiply(a,add(multiply(b,a),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),multiply(a,add(b,add(multiply(additive_identity,a),X_29)))) ),[0],$fot(multiply(a,add(multiply(b,a),X_29)))]]) ).
cnf(refute_0_1917,plain,
( multiply(a,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(a,add(b,add(multiply(additive_identity,a),X_29)))
| multiply(a,add(multiply(b,a),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),multiply(a,add(multiply(b,a),X_29))) )],[refute_0_1915,refute_0_1916]) ).
cnf(refute_0_1918,plain,
multiply(a,add(multiply(b,a),X_29)) = multiply(a,add(b,add(multiply(additive_identity,a),X_29))),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,add(a,add(a,c))),X_29)),multiply(a,add(b,add(multiply(additive_identity,a),X_29)))) )],[refute_0_1845,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( multiply(a,add(multiply(b,a),X_29)) != multiply(a,add(b,add(multiply(additive_identity,a),X_29)))
| multiply(a,add(b,add(multiply(additive_identity,a),X_29))) = multiply(a,add(multiply(b,a),X_29)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(a,add(multiply(b,a),X_29)))),bind(Y0,$fot(multiply(a,add(b,add(multiply(additive_identity,a),X_29)))))]]) ).
cnf(refute_0_1920,plain,
multiply(a,add(b,add(multiply(additive_identity,a),X_29))) = multiply(a,add(multiply(b,a),X_29)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,a),X_29)),multiply(a,add(b,add(multiply(additive_identity,a),X_29)))) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(a,add(multiply(b,a),multiply(b,X_16))),
inference(subst,[],[refute_0_1920:[bind(X_29,$fot(multiply(b,X_16)))]]) ).
cnf(refute_0_1922,plain,
( multiply(a,add(multiply(b,a),multiply(b,X_16))) != multiply(c,add(a,X_16))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) != multiply(a,add(multiply(b,a),multiply(b,X_16)))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(a,X_16)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))))),bind(Y0,$fot(multiply(a,add(multiply(b,a),multiply(b,X_16))))),bind(Z0,$fot(multiply(c,add(a,X_16))))]]) ).
cnf(refute_0_1923,plain,
( multiply(a,add(multiply(b,a),multiply(b,X_16))) != multiply(c,add(a,X_16))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(a,X_16)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),multiply(a,add(multiply(b,a),multiply(b,X_16)))) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) = multiply(c,add(a,X_16)),
inference(resolve,[$cnf( $equal(multiply(a,add(multiply(b,a),multiply(b,X_16))),multiply(c,add(a,X_16))) )],[refute_0_1755,refute_0_1923]) ).
cnf(refute_0_1925,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) != multiply(c,add(a,X_16))
| multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) != multiply(c,add(a,add(a,add(b,X_16))))
| multiply(c,add(a,X_16)) = multiply(c,add(a,add(a,add(b,X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),multiply(c,add(a,add(a,add(b,X_16))))) ),[0],$fot(multiply(c,add(a,X_16)))]]) ).
cnf(refute_0_1926,plain,
( multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))) != multiply(c,add(a,add(a,add(b,X_16))))
| multiply(c,add(a,X_16)) = multiply(c,add(a,add(a,add(b,X_16)))) ),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),multiply(c,add(a,X_16))) )],[refute_0_1924,refute_0_1925]) ).
cnf(refute_0_1927,plain,
multiply(c,add(a,X_16)) = multiply(c,add(a,add(a,add(b,X_16)))),
inference(resolve,[$cnf( $equal(multiply(a,add(b,add(multiply(additive_identity,a),multiply(b,X_16)))),multiply(c,add(a,add(a,add(b,X_16))))) )],[refute_0_1746,refute_0_1926]) ).
cnf(refute_0_1928,plain,
( multiply(c,add(a,X_16)) != multiply(c,add(a,add(a,add(b,X_16))))
| multiply(c,add(a,add(a,add(b,X_16)))) = multiply(c,add(a,X_16)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,add(a,X_16)))),bind(Y0,$fot(multiply(c,add(a,add(a,add(b,X_16))))))]]) ).
cnf(refute_0_1929,plain,
multiply(c,add(a,add(a,add(b,X_16)))) = multiply(c,add(a,X_16)),
inference(resolve,[$cnf( $equal(multiply(c,add(a,X_16)),multiply(c,add(a,add(a,add(b,X_16))))) )],[refute_0_1927,refute_0_1928]) ).
cnf(refute_0_1930,plain,
multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) = multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),
inference(subst,[],[refute_0_1929:[bind(X_16,$fot(additive_inverse(multiply(b,multiply(additive_identity,a)))))]]) ).
cnf(refute_0_1931,plain,
( multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))
| multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != c
| multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))) = c ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))),c) ),[0],$fot(multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))]]) ).
cnf(refute_0_1932,plain,
( multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))) != c
| multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))) = c ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))),multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) )],[refute_0_1930,refute_0_1931]) ).
cnf(refute_0_1933,plain,
multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))) = c,
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(b,additive_inverse(multiply(b,multiply(additive_identity,a))))))),c) )],[refute_0_1496,refute_0_1932]) ).
cnf(refute_0_1934,plain,
( multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != add(multiply(c,Y),multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))) != c
| multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = add(multiply(c,Y),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),add(multiply(c,Y),multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_1935,plain,
( multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != add(multiply(c,Y),multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = add(multiply(c,Y),c) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))),c) )],[refute_0_1933,refute_0_1934]) ).
cnf(refute_0_1936,plain,
multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = add(multiply(c,Y),c),
inference(resolve,[$cnf( $equal(multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),add(multiply(c,Y),multiply(c,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) )],[refute_0_1441,refute_0_1935]) ).
cnf(refute_0_1937,plain,
multiply(c,add(Y,c)) = multiply(c,add(Y,b)),
inference(subst,[],[refute_0_299:[bind(X_28,$fot(Y))]]) ).
cnf(refute_0_1938,plain,
add(c,multiply(c,Y)) = multiply(c,add(Y,c)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(Y)),bind(X_29,$fot(c))]]) ).
cnf(refute_0_1939,plain,
( multiply(c,add(Y,c)) != multiply(c,add(Y,b))
| add(c,multiply(c,Y)) != multiply(c,add(Y,c))
| add(c,multiply(c,Y)) = multiply(c,add(Y,b)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(c,Y)))),bind(Y0,$fot(multiply(c,add(Y,c)))),bind(Z0,$fot(multiply(c,add(Y,b))))]]) ).
cnf(refute_0_1940,plain,
( multiply(c,add(Y,c)) != multiply(c,add(Y,b))
| add(c,multiply(c,Y)) = multiply(c,add(Y,b)) ),
inference(resolve,[$cnf( $equal(add(c,multiply(c,Y)),multiply(c,add(Y,c))) )],[refute_0_1938,refute_0_1939]) ).
cnf(refute_0_1941,plain,
add(c,multiply(c,Y)) = multiply(c,add(Y,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(Y,c)),multiply(c,add(Y,b))) )],[refute_0_1937,refute_0_1940]) ).
cnf(refute_0_1942,plain,
add(multiply(c,Y),c) = add(c,multiply(c,Y)),
inference(subst,[],[refute_0_9:[bind(X,$fot(c)),bind(Y,$fot(multiply(c,Y)))]]) ).
cnf(refute_0_1943,plain,
( add(multiply(c,Y),c) != add(c,multiply(c,Y))
| add(c,multiply(c,Y)) != multiply(c,add(Y,b))
| add(multiply(c,Y),c) = multiply(c,add(Y,b)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(c,Y),c))),bind(Y0,$fot(add(c,multiply(c,Y)))),bind(Z0,$fot(multiply(c,add(Y,b))))]]) ).
cnf(refute_0_1944,plain,
( add(c,multiply(c,Y)) != multiply(c,add(Y,b))
| add(multiply(c,Y),c) = multiply(c,add(Y,b)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,Y),c),add(c,multiply(c,Y))) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
add(multiply(c,Y),c) = multiply(c,add(Y,b)),
inference(resolve,[$cnf( $equal(add(c,multiply(c,Y)),multiply(c,add(Y,b))) )],[refute_0_1941,refute_0_1944]) ).
cnf(refute_0_1946,plain,
( multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != add(multiply(c,Y),c)
| add(multiply(c,Y),c) != multiply(c,add(Y,b))
| multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = multiply(c,add(Y,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),multiply(c,add(Y,b))) ),[0],$fot(add(multiply(c,Y),c))]]) ).
cnf(refute_0_1947,plain,
( multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != add(multiply(c,Y),c)
| multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = multiply(c,add(Y,b)) ),
inference(resolve,[$cnf( $equal(add(multiply(c,Y),c),multiply(c,add(Y,b))) )],[refute_0_1945,refute_0_1946]) ).
cnf(refute_0_1948,plain,
multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = multiply(c,add(Y,b)),
inference(resolve,[$cnf( $equal(multiply(c,add(Y,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),add(multiply(c,Y),c)) )],[refute_0_1936,refute_0_1947]) ).
cnf(refute_0_1949,plain,
multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = multiply(c,add(a,b)),
inference(subst,[],[refute_0_1948:[bind(Y,$fot(a))]]) ).
cnf(refute_0_1950,plain,
( multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != multiply(c,add(a,b))
| multiply(c,add(a,b)) != multiply(additive_identity,a)
| multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = multiply(additive_identity,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))))),bind(Y0,$fot(multiply(c,add(a,b)))),bind(Z0,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1951,plain,
( multiply(c,add(a,b)) != multiply(additive_identity,a)
| multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),multiply(c,add(a,b))) )],[refute_0_1949,refute_0_1950]) ).
cnf(refute_0_1952,plain,
multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(multiply(c,add(a,b)),multiply(additive_identity,a)) )],[refute_0_1440,refute_0_1951]) ).
cnf(refute_0_1953,plain,
( multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))) != multiply(additive_identity,a)
| additive_identity != multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| additive_identity = multiply(additive_identity,a) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) ),[1],$fot(multiply(additive_identity,a))]]) ).
cnf(refute_0_1954,plain,
( additive_identity != multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))
| additive_identity = multiply(additive_identity,a) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a)))))),multiply(additive_identity,a)) )],[refute_0_1952,refute_0_1953]) ).
cnf(refute_0_1955,plain,
additive_identity = multiply(additive_identity,a),
inference(resolve,[$cnf( $equal(additive_identity,multiply(c,add(a,add(a,additive_inverse(multiply(b,multiply(additive_identity,a))))))) )],[refute_0_1117,refute_0_1954]) ).
cnf(refute_0_1956,plain,
( additive_identity != multiply(additive_identity,a)
| multiply(additive_identity,a) = additive_identity ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_1957,plain,
multiply(additive_identity,a) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,a)) )],[refute_0_1955,refute_0_1956]) ).
cnf(refute_0_1958,plain,
( multiply(additive_identity,multiply(a,Z)) != multiply(multiply(additive_identity,a),Z)
| multiply(additive_identity,a) != additive_identity
| multiply(additive_identity,multiply(a,Z)) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,multiply(a,Z)),multiply(multiply(additive_identity,a),Z)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1959,plain,
( multiply(additive_identity,multiply(a,Z)) != multiply(multiply(additive_identity,a),Z)
| multiply(additive_identity,multiply(a,Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,a),additive_identity) )],[refute_0_1957,refute_0_1958]) ).
cnf(refute_0_1960,plain,
multiply(additive_identity,multiply(a,Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(additive_identity,multiply(a,Z)),multiply(multiply(additive_identity,a),Z)) )],[refute_0_1040,refute_0_1959]) ).
cnf(refute_0_1961,plain,
( multiply(additive_identity,multiply(a,Z)) != multiply(additive_identity,Z)
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(additive_identity,multiply(a,Z))
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(additive_identity,multiply(a,Z))) ),[1],$fot(multiply(additive_identity,Z))]]) ).
cnf(refute_0_1962,plain,
( multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(additive_identity,multiply(a,Z))
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,multiply(a,Z)),multiply(additive_identity,Z)) )],[refute_0_1960,refute_0_1961]) ).
cnf(refute_0_1963,plain,
multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(additive_identity,multiply(a,Z))) )],[refute_0_1039,refute_0_1962]) ).
cnf(refute_0_1964,plain,
multiply(c,multiply(add(a,c),Z)) = multiply(c,multiply(add(a,b),Z)),
inference(subst,[],[refute_0_1369:[bind(X_39,$fot(a))]]) ).
cnf(refute_0_1965,plain,
additive_inverse(c) = add(c,add(additive_inverse(c),additive_inverse(c))),
inference(subst,[],[refute_0_142:[bind(X_10,$fot(c)),bind(X_9,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1966,plain,
multiply(additive_inverse(c),add(a,additive_inverse(c))) = add(additive_inverse(c),multiply(additive_inverse(c),a)),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(a)),bind(X_29,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1967,plain,
multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) = add(additive_inverse(c),multiply(additive_inverse(c),add(a,a))),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(add(a,a))),bind(X_29,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1968,plain,
multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,additive_inverse(c))))) = multiply(additive_inverse(c),add(a,additive_inverse(c))),
inference(subst,[],[refute_0_21:[bind(X_14,$fot(additive_inverse(c))),bind(X_15,$fot(add(a,additive_inverse(c))))]]) ).
cnf(refute_0_1969,plain,
multiply(additive_inverse(c),add(a,a)) = multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),a)),
inference(subst,[],[refute_0_930:[bind(X_28,$fot(a)),bind(X_49,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1970,plain,
multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(add(a,additive_inverse(c)))),bind(X_16,$fot(add(a,add(additive_inverse(c),additive_inverse(c)))))]]) ).
cnf(refute_0_1971,plain,
multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) = add(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c))),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(additive_inverse(c))),bind(X_29,$fot(add(a,additive_inverse(c))))]]) ).
cnf(refute_0_1972,plain,
multiply(add(additive_inverse(c),a),additive_inverse(c)) = add(c,multiply(additive_inverse(c),additive_inverse(c))),
inference(subst,[],[refute_0_597:[bind(X_49,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1973,plain,
multiply(additive_inverse(c),additive_inverse(c)) = additive_inverse(c),
inference(subst,[],[boolean_ring:[bind(X,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1974,plain,
( multiply(add(additive_inverse(c),a),additive_inverse(c)) != add(c,multiply(additive_inverse(c),additive_inverse(c)))
| multiply(additive_inverse(c),additive_inverse(c)) != additive_inverse(c)
| multiply(add(additive_inverse(c),a),additive_inverse(c)) = add(c,additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(additive_inverse(c),a),additive_inverse(c)),add(c,multiply(additive_inverse(c),additive_inverse(c)))) ),[1,1],$fot(additive_inverse(c))]]) ).
cnf(refute_0_1975,plain,
( multiply(add(additive_inverse(c),a),additive_inverse(c)) != add(c,multiply(additive_inverse(c),additive_inverse(c)))
| multiply(add(additive_inverse(c),a),additive_inverse(c)) = add(c,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),additive_inverse(c)),additive_inverse(c)) )],[refute_0_1973,refute_0_1974]) ).
cnf(refute_0_1976,plain,
multiply(add(additive_inverse(c),a),additive_inverse(c)) = add(c,additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(additive_inverse(c),a),additive_inverse(c)),add(c,multiply(additive_inverse(c),additive_inverse(c)))) )],[refute_0_1972,refute_0_1975]) ).
cnf(refute_0_1977,plain,
multiply(add(X_54,a),additive_inverse(c)) = add(c,multiply(X_54,additive_inverse(c))),
inference(subst,[],[refute_0_597:[bind(X_49,$fot(X_54))]]) ).
cnf(refute_0_1978,plain,
add(a,X_54) = add(X_54,a),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(a)),bind(Y,$fot(X_54))]]) ).
cnf(refute_0_1979,plain,
( add(a,X_54) != add(X_54,a)
| add(X_54,a) = add(a,X_54) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(a,X_54))),bind(Y0,$fot(add(X_54,a)))]]) ).
cnf(refute_0_1980,plain,
add(X_54,a) = add(a,X_54),
inference(resolve,[$cnf( $equal(add(a,X_54),add(X_54,a)) )],[refute_0_1978,refute_0_1979]) ).
cnf(refute_0_1981,plain,
( multiply(add(X_54,a),additive_inverse(c)) != add(c,multiply(X_54,additive_inverse(c)))
| add(X_54,a) != add(a,X_54)
| multiply(add(a,X_54),additive_inverse(c)) = add(c,multiply(X_54,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_54,a),additive_inverse(c)),add(c,multiply(X_54,additive_inverse(c)))) ),[0,0],$fot(add(a,X_54))]]) ).
cnf(refute_0_1982,plain,
( multiply(add(X_54,a),additive_inverse(c)) != add(c,multiply(X_54,additive_inverse(c)))
| multiply(add(a,X_54),additive_inverse(c)) = add(c,multiply(X_54,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(X_54,a),add(a,X_54)) )],[refute_0_1980,refute_0_1981]) ).
cnf(refute_0_1983,plain,
multiply(add(a,X_54),additive_inverse(c)) = add(c,multiply(X_54,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(add(X_54,a),additive_inverse(c)),add(c,multiply(X_54,additive_inverse(c)))) )],[refute_0_1977,refute_0_1982]) ).
cnf(refute_0_1984,plain,
( multiply(add(X_49,a),additive_inverse(c)) != add(c,multiply(X_49,additive_inverse(c)))
| add(c,multiply(X_49,additive_inverse(c))) = multiply(add(X_49,a),additive_inverse(c)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,a),additive_inverse(c)))),bind(Y0,$fot(add(c,multiply(X_49,additive_inverse(c)))))]]) ).
cnf(refute_0_1985,plain,
add(c,multiply(X_49,additive_inverse(c))) = multiply(add(X_49,a),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),additive_inverse(c)),add(c,multiply(X_49,additive_inverse(c)))) )],[refute_0_597,refute_0_1984]) ).
cnf(refute_0_1986,plain,
add(c,multiply(X_54,additive_inverse(c))) = multiply(add(X_54,a),additive_inverse(c)),
inference(subst,[],[refute_0_1985:[bind(X_49,$fot(X_54))]]) ).
cnf(refute_0_1987,plain,
( multiply(add(a,X_54),additive_inverse(c)) != add(c,multiply(X_54,additive_inverse(c)))
| add(c,multiply(X_54,additive_inverse(c))) != multiply(add(X_54,a),additive_inverse(c))
| multiply(add(a,X_54),additive_inverse(c)) = multiply(add(X_54,a),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,X_54),additive_inverse(c)),multiply(add(X_54,a),additive_inverse(c))) ),[0],$fot(add(c,multiply(X_54,additive_inverse(c))))]]) ).
cnf(refute_0_1988,plain,
( multiply(add(a,X_54),additive_inverse(c)) != add(c,multiply(X_54,additive_inverse(c)))
| multiply(add(a,X_54),additive_inverse(c)) = multiply(add(X_54,a),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(c,multiply(X_54,additive_inverse(c))),multiply(add(X_54,a),additive_inverse(c))) )],[refute_0_1986,refute_0_1987]) ).
cnf(refute_0_1989,plain,
multiply(add(a,X_54),additive_inverse(c)) = multiply(add(X_54,a),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(a,X_54),additive_inverse(c)),add(c,multiply(X_54,additive_inverse(c)))) )],[refute_0_1983,refute_0_1988]) ).
cnf(refute_0_1990,plain,
( multiply(add(a,X_54),additive_inverse(c)) != multiply(add(X_54,a),additive_inverse(c))
| multiply(add(X_54,a),additive_inverse(c)) = multiply(add(a,X_54),additive_inverse(c)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(a,X_54),additive_inverse(c)))),bind(Y0,$fot(multiply(add(X_54,a),additive_inverse(c))))]]) ).
cnf(refute_0_1991,plain,
multiply(add(X_54,a),additive_inverse(c)) = multiply(add(a,X_54),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(a,X_54),additive_inverse(c)),multiply(add(X_54,a),additive_inverse(c))) )],[refute_0_1989,refute_0_1990]) ).
cnf(refute_0_1992,plain,
multiply(add(additive_inverse(c),a),additive_inverse(c)) = multiply(add(a,additive_inverse(c)),additive_inverse(c)),
inference(subst,[],[refute_0_1991:[bind(X_54,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_1993,plain,
( multiply(add(additive_inverse(c),a),additive_inverse(c)) != multiply(add(a,additive_inverse(c)),additive_inverse(c))
| multiply(add(additive_inverse(c),a),additive_inverse(c)) != add(c,additive_inverse(c))
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) = add(c,additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(additive_inverse(c),a),additive_inverse(c)),add(c,additive_inverse(c))) ),[0],$fot(multiply(add(a,additive_inverse(c)),additive_inverse(c)))]]) ).
cnf(refute_0_1994,plain,
( multiply(add(additive_inverse(c),a),additive_inverse(c)) != add(c,additive_inverse(c))
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) = add(c,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(additive_inverse(c),a),additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c))) )],[refute_0_1992,refute_0_1993]) ).
cnf(refute_0_1995,plain,
( multiply(add(a,additive_inverse(c)),additive_inverse(c)) != add(c,additive_inverse(c))
| add(c,additive_inverse(c)) != additive_identity
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,additive_inverse(c)),additive_inverse(c)),additive_identity) ),[0],$fot(add(c,additive_inverse(c)))]]) ).
cnf(refute_0_1996,plain,
( multiply(add(a,additive_inverse(c)),additive_inverse(c)) != add(c,additive_inverse(c))
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) = additive_identity ),
inference(resolve,[$cnf( $equal(add(c,additive_inverse(c)),additive_identity) )],[refute_0_520,refute_0_1995]) ).
cnf(refute_0_1997,plain,
( multiply(add(additive_inverse(c),a),additive_inverse(c)) != add(c,additive_inverse(c))
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_inverse(c)),add(c,additive_inverse(c))) )],[refute_0_1994,refute_0_1996]) ).
cnf(refute_0_1998,plain,
multiply(add(a,additive_inverse(c)),additive_inverse(c)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(additive_inverse(c),a),additive_inverse(c)),add(c,additive_inverse(c))) )],[refute_0_1976,refute_0_1997]) ).
cnf(refute_0_1999,plain,
( multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) != add(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c)))
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) != additive_identity
| multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) = add(add(a,additive_inverse(c)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))),add(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2000,plain,
( multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) != add(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c)))
| multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) = add(add(a,additive_inverse(c)),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_inverse(c)),additive_identity) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) = add(add(a,additive_inverse(c)),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))),add(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c)))) )],[refute_0_1971,refute_0_2000]) ).
cnf(refute_0_2002,plain,
add(additive_inverse(c),add(a,additive_inverse(c))) = add(a,add(additive_inverse(c),additive_inverse(c))),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(a)),bind(X_7,$fot(additive_inverse(c))),bind(X_8,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2003,plain,
multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) = multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))),
introduced(tautology,[refl,[$fot(multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))))]]) ).
cnf(refute_0_2004,plain,
( multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) != multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c))))
| add(additive_inverse(c),add(a,additive_inverse(c))) != add(a,add(additive_inverse(c),additive_inverse(c)))
| multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))),multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c))))) ),[1,1],$fot(add(a,add(additive_inverse(c),additive_inverse(c))))]]) ).
cnf(refute_0_2005,plain,
( add(additive_inverse(c),add(a,additive_inverse(c))) != add(a,add(additive_inverse(c),additive_inverse(c)))
| multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))),multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c))))) )],[refute_0_2003,refute_0_2004]) ).
cnf(refute_0_2006,plain,
multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),add(a,additive_inverse(c))),add(a,add(additive_inverse(c),additive_inverse(c)))) )],[refute_0_2002,refute_0_2005]) ).
cnf(refute_0_2007,plain,
( multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) != multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))
| multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) != add(add(a,additive_inverse(c)),additive_identity)
| multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) = add(add(a,additive_inverse(c)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))),add(add(a,additive_inverse(c)),additive_identity)) ),[0],$fot(multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))))]]) ).
cnf(refute_0_2008,plain,
( multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) != add(add(a,additive_inverse(c)),additive_identity)
| multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) = add(add(a,additive_inverse(c)),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) )],[refute_0_2006,refute_0_2007]) ).
cnf(refute_0_2009,plain,
add(additive_identity,additive_inverse(c)) = additive_inverse(c),
inference(subst,[],[left_additive_identity:[bind(X,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2010,plain,
add(a,add(additive_identity,additive_inverse(c))) = add(a,add(additive_identity,additive_inverse(c))),
introduced(tautology,[refl,[$fot(add(a,add(additive_identity,additive_inverse(c))))]]) ).
cnf(refute_0_2011,plain,
( add(a,add(additive_identity,additive_inverse(c))) != add(a,add(additive_identity,additive_inverse(c)))
| add(additive_identity,additive_inverse(c)) != additive_inverse(c)
| add(a,add(additive_identity,additive_inverse(c))) = add(a,additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(additive_identity,additive_inverse(c))),add(a,add(additive_identity,additive_inverse(c)))) ),[1,1],$fot(additive_inverse(c))]]) ).
cnf(refute_0_2012,plain,
( add(additive_identity,additive_inverse(c)) != additive_inverse(c)
| add(a,add(additive_identity,additive_inverse(c))) = add(a,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(a,add(additive_identity,additive_inverse(c))),add(a,add(additive_identity,additive_inverse(c)))) )],[refute_0_2010,refute_0_2011]) ).
cnf(refute_0_2013,plain,
add(a,add(additive_identity,additive_inverse(c))) = add(a,additive_inverse(c)),
inference(resolve,[$cnf( $equal(add(additive_identity,additive_inverse(c)),additive_inverse(c)) )],[refute_0_2009,refute_0_2012]) ).
cnf(refute_0_2014,plain,
add(additive_identity,add(a,additive_inverse(c))) = add(a,add(additive_identity,additive_inverse(c))),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(a)),bind(X_7,$fot(additive_identity)),bind(X_8,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2015,plain,
add(add(a,additive_inverse(c)),additive_identity) = add(additive_identity,add(a,additive_inverse(c))),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(add(a,additive_inverse(c))))]]) ).
cnf(refute_0_2016,plain,
( add(add(a,additive_inverse(c)),additive_identity) != add(additive_identity,add(a,additive_inverse(c)))
| add(additive_identity,add(a,additive_inverse(c))) != add(a,add(additive_identity,additive_inverse(c)))
| add(add(a,additive_inverse(c)),additive_identity) = add(a,add(additive_identity,additive_inverse(c))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(a,additive_inverse(c)),additive_identity))),bind(Y0,$fot(add(additive_identity,add(a,additive_inverse(c))))),bind(Z0,$fot(add(a,add(additive_identity,additive_inverse(c)))))]]) ).
cnf(refute_0_2017,plain,
( add(additive_identity,add(a,additive_inverse(c))) != add(a,add(additive_identity,additive_inverse(c)))
| add(add(a,additive_inverse(c)),additive_identity) = add(a,add(additive_identity,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(add(add(a,additive_inverse(c)),additive_identity),add(additive_identity,add(a,additive_inverse(c)))) )],[refute_0_2015,refute_0_2016]) ).
cnf(refute_0_2018,plain,
add(add(a,additive_inverse(c)),additive_identity) = add(a,add(additive_identity,additive_inverse(c))),
inference(resolve,[$cnf( $equal(add(additive_identity,add(a,additive_inverse(c))),add(a,add(additive_identity,additive_inverse(c)))) )],[refute_0_2014,refute_0_2017]) ).
cnf(refute_0_2019,plain,
( add(add(a,additive_inverse(c)),additive_identity) != add(a,add(additive_identity,additive_inverse(c)))
| add(a,add(additive_identity,additive_inverse(c))) != add(a,additive_inverse(c))
| add(add(a,additive_inverse(c)),additive_identity) = add(a,additive_inverse(c)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(a,additive_inverse(c)),additive_identity))),bind(Y0,$fot(add(a,add(additive_identity,additive_inverse(c))))),bind(Z0,$fot(add(a,additive_inverse(c))))]]) ).
cnf(refute_0_2020,plain,
( add(a,add(additive_identity,additive_inverse(c))) != add(a,additive_inverse(c))
| add(add(a,additive_inverse(c)),additive_identity) = add(a,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(add(a,additive_inverse(c)),additive_identity),add(a,add(additive_identity,additive_inverse(c)))) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
add(add(a,additive_inverse(c)),additive_identity) = add(a,additive_inverse(c)),
inference(resolve,[$cnf( $equal(add(a,add(additive_identity,additive_inverse(c))),add(a,additive_inverse(c))) )],[refute_0_2013,refute_0_2020]) ).
cnf(refute_0_2022,plain,
( multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) != add(add(a,additive_inverse(c)),additive_identity)
| add(add(a,additive_inverse(c)),additive_identity) != add(a,additive_inverse(c))
| multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) = add(a,additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))),add(a,additive_inverse(c))) ),[0],$fot(add(add(a,additive_inverse(c)),additive_identity))]]) ).
cnf(refute_0_2023,plain,
( multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) != add(add(a,additive_inverse(c)),additive_identity)
| multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) = add(a,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(add(a,additive_inverse(c)),additive_identity),add(a,additive_inverse(c))) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
( multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))) != add(add(a,additive_inverse(c)),additive_identity)
| multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) = add(a,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))),add(add(a,additive_inverse(c)),additive_identity)) )],[refute_0_2008,refute_0_2023]) ).
cnf(refute_0_2025,plain,
multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) = add(a,additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(additive_inverse(c),add(a,additive_inverse(c)))),add(add(a,additive_inverse(c)),additive_identity)) )],[refute_0_2001,refute_0_2024]) ).
cnf(refute_0_2026,plain,
( multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) != multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))
| multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) != add(a,additive_inverse(c))
| multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) ),[0,1],$fot(add(a,additive_inverse(c)))]]) ).
cnf(refute_0_2027,plain,
( multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) != multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))
| multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))),add(a,additive_inverse(c))) )],[refute_0_2025,refute_0_2026]) ).
cnf(refute_0_2028,plain,
multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) )],[refute_0_1970,refute_0_2027]) ).
cnf(refute_0_2029,plain,
multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) = add(multiply(add(a,additive_inverse(c)),Y),multiply(add(a,additive_inverse(c)),additive_inverse(c))),
inference(subst,[],[distribute1:[bind(X,$fot(add(a,additive_inverse(c)))),bind(Z,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2030,plain,
( multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) != add(multiply(add(a,additive_inverse(c)),Y),multiply(add(a,additive_inverse(c)),additive_inverse(c)))
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) != additive_identity
| multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) = add(multiply(add(a,additive_inverse(c)),Y),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))),add(multiply(add(a,additive_inverse(c)),Y),multiply(add(a,additive_inverse(c)),additive_inverse(c)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2031,plain,
( multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) != add(multiply(add(a,additive_inverse(c)),Y),multiply(add(a,additive_inverse(c)),additive_inverse(c)))
| multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) = add(multiply(add(a,additive_inverse(c)),Y),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_inverse(c)),additive_identity) )],[refute_0_1998,refute_0_2030]) ).
cnf(refute_0_2032,plain,
multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) = add(multiply(add(a,additive_inverse(c)),Y),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))),add(multiply(add(a,additive_inverse(c)),Y),multiply(add(a,additive_inverse(c)),additive_inverse(c)))) )],[refute_0_2029,refute_0_2031]) ).
cnf(refute_0_2033,plain,
add(additive_identity,multiply(add(a,additive_inverse(c)),Y)) = multiply(add(a,additive_inverse(c)),Y),
inference(subst,[],[left_additive_identity:[bind(X,$fot(multiply(add(a,additive_inverse(c)),Y)))]]) ).
cnf(refute_0_2034,plain,
add(multiply(add(a,additive_inverse(c)),Y),additive_identity) = add(additive_identity,multiply(add(a,additive_inverse(c)),Y)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(multiply(add(a,additive_inverse(c)),Y)))]]) ).
cnf(refute_0_2035,plain,
( add(multiply(add(a,additive_inverse(c)),Y),additive_identity) != add(additive_identity,multiply(add(a,additive_inverse(c)),Y))
| add(additive_identity,multiply(add(a,additive_inverse(c)),Y)) != multiply(add(a,additive_inverse(c)),Y)
| add(multiply(add(a,additive_inverse(c)),Y),additive_identity) = multiply(add(a,additive_inverse(c)),Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(add(a,additive_inverse(c)),Y),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(add(a,additive_inverse(c)),Y)))),bind(Z0,$fot(multiply(add(a,additive_inverse(c)),Y)))]]) ).
cnf(refute_0_2036,plain,
( add(additive_identity,multiply(add(a,additive_inverse(c)),Y)) != multiply(add(a,additive_inverse(c)),Y)
| add(multiply(add(a,additive_inverse(c)),Y),additive_identity) = multiply(add(a,additive_inverse(c)),Y) ),
inference(resolve,[$cnf( $equal(add(multiply(add(a,additive_inverse(c)),Y),additive_identity),add(additive_identity,multiply(add(a,additive_inverse(c)),Y))) )],[refute_0_2034,refute_0_2035]) ).
cnf(refute_0_2037,plain,
add(multiply(add(a,additive_inverse(c)),Y),additive_identity) = multiply(add(a,additive_inverse(c)),Y),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(add(a,additive_inverse(c)),Y)),multiply(add(a,additive_inverse(c)),Y)) )],[refute_0_2033,refute_0_2036]) ).
cnf(refute_0_2038,plain,
( multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) != add(multiply(add(a,additive_inverse(c)),Y),additive_identity)
| add(multiply(add(a,additive_inverse(c)),Y),additive_identity) != multiply(add(a,additive_inverse(c)),Y)
| multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) = multiply(add(a,additive_inverse(c)),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))),multiply(add(a,additive_inverse(c)),Y)) ),[0],$fot(add(multiply(add(a,additive_inverse(c)),Y),additive_identity))]]) ).
cnf(refute_0_2039,plain,
( multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) != add(multiply(add(a,additive_inverse(c)),Y),additive_identity)
| multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) = multiply(add(a,additive_inverse(c)),Y) ),
inference(resolve,[$cnf( $equal(add(multiply(add(a,additive_inverse(c)),Y),additive_identity),multiply(add(a,additive_inverse(c)),Y)) )],[refute_0_2037,refute_0_2038]) ).
cnf(refute_0_2040,plain,
multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))) = multiply(add(a,additive_inverse(c)),Y),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(Y,additive_inverse(c))),add(multiply(add(a,additive_inverse(c)),Y),additive_identity)) )],[refute_0_2032,refute_0_2039]) ).
cnf(refute_0_2041,plain,
multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))) = multiply(add(a,additive_inverse(c)),a),
inference(subst,[],[refute_0_2040:[bind(Y,$fot(a))]]) ).
cnf(refute_0_2042,plain,
( multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))) != multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))
| multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))) != multiply(add(a,additive_inverse(c)),a)
| multiply(add(a,additive_inverse(c)),a) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) ),[0],$fot(multiply(add(a,additive_inverse(c)),a))]]) ).
cnf(refute_0_2043,plain,
( multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))) != multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))
| multiply(add(a,additive_inverse(c)),a) = multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))),multiply(add(a,additive_inverse(c)),a)) )],[refute_0_2041,refute_0_2042]) ).
cnf(refute_0_2044,plain,
( multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))) != add(a,additive_inverse(c))
| multiply(add(a,additive_inverse(c)),a) != multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))
| multiply(add(a,additive_inverse(c)),a) = add(a,additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),a),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) ),[1],$fot(add(a,additive_inverse(c)))]]) ).
cnf(refute_0_2045,plain,
( multiply(add(a,additive_inverse(c)),a) != multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))
| multiply(add(a,additive_inverse(c)),a) = add(a,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c)))),add(a,additive_inverse(c))) )],[refute_0_2025,refute_0_2044]) ).
cnf(refute_0_2046,plain,
( multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))) != multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))
| multiply(add(a,additive_inverse(c)),a) = add(a,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),a),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) )],[refute_0_2043,refute_0_2045]) ).
cnf(refute_0_2047,plain,
multiply(add(a,additive_inverse(c)),a) = add(a,additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),add(a,additive_inverse(c))),multiply(add(a,additive_inverse(c)),add(a,add(additive_inverse(c),additive_inverse(c))))) )],[refute_0_2028,refute_0_2046]) ).
cnf(refute_0_2048,plain,
( multiply(add(a,additive_inverse(c)),a) != add(a,additive_inverse(c))
| multiply(additive_inverse(c),add(a,a)) != multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),a))
| multiply(additive_inverse(c),add(a,a)) = multiply(additive_inverse(c),add(a,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(a,a)),multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),a))) ),[1,1],$fot(add(a,additive_inverse(c)))]]) ).
cnf(refute_0_2049,plain,
( multiply(additive_inverse(c),add(a,a)) != multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),a))
| multiply(additive_inverse(c),add(a,a)) = multiply(additive_inverse(c),add(a,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),a),add(a,additive_inverse(c))) )],[refute_0_2047,refute_0_2048]) ).
cnf(refute_0_2050,plain,
multiply(additive_inverse(c),add(a,a)) = multiply(additive_inverse(c),add(a,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,a)),multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),a))) )],[refute_0_1969,refute_0_2049]) ).
cnf(refute_0_2051,plain,
( multiply(additive_inverse(c),add(a,a)) != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| multiply(additive_inverse(c),add(a,additive_inverse(c))) = multiply(additive_inverse(c),add(a,a)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(additive_inverse(c),add(a,a)))),bind(Y0,$fot(multiply(additive_inverse(c),add(a,additive_inverse(c)))))]]) ).
cnf(refute_0_2052,plain,
multiply(additive_inverse(c),add(a,additive_inverse(c))) = multiply(additive_inverse(c),add(a,a)),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,a)),multiply(additive_inverse(c),add(a,additive_inverse(c)))) )],[refute_0_2050,refute_0_2051]) ).
cnf(refute_0_2053,plain,
( multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,additive_inverse(c))))) != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| multiply(additive_inverse(c),add(a,additive_inverse(c))) != multiply(additive_inverse(c),add(a,a))
| multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = multiply(additive_inverse(c),add(a,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,additive_inverse(c))))),multiply(additive_inverse(c),add(a,additive_inverse(c)))) ),[0,1,1],$fot(multiply(additive_inverse(c),add(a,a)))]]) ).
cnf(refute_0_2054,plain,
( multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,additive_inverse(c))))) != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = multiply(additive_inverse(c),add(a,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,additive_inverse(c))),multiply(additive_inverse(c),add(a,a))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = multiply(additive_inverse(c),add(a,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,additive_inverse(c))))),multiply(additive_inverse(c),add(a,additive_inverse(c)))) )],[refute_0_1968,refute_0_2054]) ).
cnf(refute_0_2056,plain,
multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c))) = multiply(add(a,additive_inverse(c)),additive_inverse(c)),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(add(a,additive_inverse(c)))),bind(X_16,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2057,plain,
( multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c))) != multiply(add(a,additive_inverse(c)),additive_inverse(c))
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) != additive_identity
| multiply(add(a,additive_inverse(c)),additive_identity) = multiply(add(a,additive_inverse(c)),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c))),multiply(add(a,additive_inverse(c)),additive_inverse(c))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_2058,plain,
( multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c))) != multiply(add(a,additive_inverse(c)),additive_inverse(c))
| multiply(add(a,additive_inverse(c)),additive_identity) = multiply(add(a,additive_inverse(c)),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_inverse(c)),additive_identity) )],[refute_0_1998,refute_0_2057]) ).
cnf(refute_0_2059,plain,
multiply(add(a,additive_inverse(c)),additive_identity) = multiply(add(a,additive_inverse(c)),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),multiply(add(a,additive_inverse(c)),additive_inverse(c))),multiply(add(a,additive_inverse(c)),additive_inverse(c))) )],[refute_0_2056,refute_0_2058]) ).
cnf(refute_0_2060,plain,
multiply(add(a,X_50),additive_identity) = add(multiply(a,additive_identity),multiply(X_50,additive_identity)),
inference(subst,[],[distribute2:[bind(X,$fot(a)),bind(Y,$fot(X_50)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_2061,plain,
( multiply(add(a,X_50),additive_identity) != add(multiply(a,additive_identity),multiply(X_50,additive_identity))
| multiply(a,additive_identity) != additive_identity
| multiply(add(a,X_50),additive_identity) = add(additive_identity,multiply(X_50,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,X_50),additive_identity),add(multiply(a,additive_identity),multiply(X_50,additive_identity))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2062,plain,
( multiply(add(a,X_50),additive_identity) != add(multiply(a,additive_identity),multiply(X_50,additive_identity))
| multiply(add(a,X_50),additive_identity) = add(additive_identity,multiply(X_50,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(a,additive_identity),additive_identity) )],[refute_0_553,refute_0_2061]) ).
cnf(refute_0_2063,plain,
multiply(add(a,X_50),additive_identity) = add(additive_identity,multiply(X_50,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(add(a,X_50),additive_identity),add(multiply(a,additive_identity),multiply(X_50,additive_identity))) )],[refute_0_2060,refute_0_2062]) ).
cnf(refute_0_2064,plain,
add(X_50,additive_identity) = X_50,
inference(subst,[],[right_additive_identity:[bind(X,$fot(X_50))]]) ).
cnf(refute_0_2065,plain,
multiply(add(X_50,additive_identity),additive_identity) = multiply(add(X_50,additive_identity),additive_identity),
introduced(tautology,[refl,[$fot(multiply(add(X_50,additive_identity),additive_identity))]]) ).
cnf(refute_0_2066,plain,
( multiply(add(X_50,additive_identity),additive_identity) != multiply(add(X_50,additive_identity),additive_identity)
| add(X_50,additive_identity) != X_50
| multiply(add(X_50,additive_identity),additive_identity) = multiply(X_50,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_50,additive_identity),additive_identity),multiply(add(X_50,additive_identity),additive_identity)) ),[1,0],$fot(X_50)]]) ).
cnf(refute_0_2067,plain,
( add(X_50,additive_identity) != X_50
| multiply(add(X_50,additive_identity),additive_identity) = multiply(X_50,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(X_50,additive_identity),additive_identity),multiply(add(X_50,additive_identity),additive_identity)) )],[refute_0_2065,refute_0_2066]) ).
cnf(refute_0_2068,plain,
multiply(add(X_50,additive_identity),additive_identity) = multiply(X_50,additive_identity),
inference(resolve,[$cnf( $equal(add(X_50,additive_identity),X_50) )],[refute_0_2064,refute_0_2067]) ).
cnf(refute_0_2069,plain,
add(additive_identity,multiply(X_50,additive_identity)) = multiply(add(X_50,additive_identity),additive_identity),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(X_50)),bind(X_51,$fot(additive_identity))]]) ).
cnf(refute_0_2070,plain,
( multiply(add(X_50,additive_identity),additive_identity) != multiply(X_50,additive_identity)
| add(additive_identity,multiply(X_50,additive_identity)) != multiply(add(X_50,additive_identity),additive_identity)
| add(additive_identity,multiply(X_50,additive_identity)) = multiply(X_50,additive_identity) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(additive_identity,multiply(X_50,additive_identity)))),bind(Y0,$fot(multiply(add(X_50,additive_identity),additive_identity))),bind(Z0,$fot(multiply(X_50,additive_identity)))]]) ).
cnf(refute_0_2071,plain,
( multiply(add(X_50,additive_identity),additive_identity) != multiply(X_50,additive_identity)
| add(additive_identity,multiply(X_50,additive_identity)) = multiply(X_50,additive_identity) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_50,additive_identity)),multiply(add(X_50,additive_identity),additive_identity)) )],[refute_0_2069,refute_0_2070]) ).
cnf(refute_0_2072,plain,
add(additive_identity,multiply(X_50,additive_identity)) = multiply(X_50,additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(X_50,additive_identity),additive_identity),multiply(X_50,additive_identity)) )],[refute_0_2068,refute_0_2071]) ).
cnf(refute_0_2073,plain,
( multiply(add(a,X_50),additive_identity) != add(additive_identity,multiply(X_50,additive_identity))
| add(additive_identity,multiply(X_50,additive_identity)) != multiply(X_50,additive_identity)
| multiply(add(a,X_50),additive_identity) = multiply(X_50,additive_identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,X_50),additive_identity),multiply(X_50,additive_identity)) ),[0],$fot(add(additive_identity,multiply(X_50,additive_identity)))]]) ).
cnf(refute_0_2074,plain,
( multiply(add(a,X_50),additive_identity) != add(additive_identity,multiply(X_50,additive_identity))
| multiply(add(a,X_50),additive_identity) = multiply(X_50,additive_identity) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_50,additive_identity)),multiply(X_50,additive_identity)) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
multiply(add(a,X_50),additive_identity) = multiply(X_50,additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(a,X_50),additive_identity),add(additive_identity,multiply(X_50,additive_identity))) )],[refute_0_2063,refute_0_2074]) ).
cnf(refute_0_2076,plain,
multiply(add(a,additive_inverse(c)),additive_identity) = multiply(additive_inverse(c),additive_identity),
inference(subst,[],[refute_0_2075:[bind(X_50,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2077,plain,
( multiply(add(a,additive_inverse(c)),additive_identity) != multiply(add(a,additive_inverse(c)),additive_inverse(c))
| multiply(add(a,additive_inverse(c)),additive_identity) != multiply(additive_inverse(c),additive_identity)
| multiply(additive_inverse(c),additive_identity) = multiply(add(a,additive_inverse(c)),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_identity),multiply(add(a,additive_inverse(c)),additive_inverse(c))) ),[0],$fot(multiply(additive_inverse(c),additive_identity))]]) ).
cnf(refute_0_2078,plain,
( multiply(add(a,additive_inverse(c)),additive_identity) != multiply(add(a,additive_inverse(c)),additive_inverse(c))
| multiply(additive_inverse(c),additive_identity) = multiply(add(a,additive_inverse(c)),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_identity),multiply(additive_inverse(c),additive_identity)) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
( multiply(add(a,additive_inverse(c)),additive_inverse(c)) != additive_identity
| multiply(additive_inverse(c),additive_identity) != multiply(add(a,additive_inverse(c)),additive_inverse(c))
| multiply(additive_inverse(c),additive_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),additive_identity),multiply(add(a,additive_inverse(c)),additive_inverse(c))) ),[1],$fot(additive_identity)]]) ).
cnf(refute_0_2080,plain,
( multiply(additive_inverse(c),additive_identity) != multiply(add(a,additive_inverse(c)),additive_inverse(c))
| multiply(additive_inverse(c),additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_inverse(c)),additive_identity) )],[refute_0_1998,refute_0_2079]) ).
cnf(refute_0_2081,plain,
( multiply(add(a,additive_inverse(c)),additive_identity) != multiply(add(a,additive_inverse(c)),additive_inverse(c))
| multiply(additive_inverse(c),additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),additive_identity),multiply(add(a,additive_inverse(c)),additive_inverse(c))) )],[refute_0_2078,refute_0_2080]) ).
cnf(refute_0_2082,plain,
multiply(additive_inverse(c),additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_identity),multiply(add(a,additive_inverse(c)),additive_inverse(c))) )],[refute_0_2059,refute_0_2081]) ).
cnf(refute_0_2083,plain,
multiply(additive_identity,add(Y,a)) = add(multiply(additive_identity,Y),multiply(additive_identity,a)),
inference(subst,[],[distribute1:[bind(X,$fot(additive_identity)),bind(Z,$fot(a))]]) ).
cnf(refute_0_2084,plain,
( multiply(additive_identity,add(Y,a)) != add(multiply(additive_identity,Y),multiply(additive_identity,a))
| multiply(additive_identity,a) != additive_identity
| multiply(additive_identity,add(Y,a)) = add(multiply(additive_identity,Y),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(Y,a)),add(multiply(additive_identity,Y),multiply(additive_identity,a))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2085,plain,
( multiply(additive_identity,add(Y,a)) != add(multiply(additive_identity,Y),multiply(additive_identity,a))
| multiply(additive_identity,add(Y,a)) = add(multiply(additive_identity,Y),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,a),additive_identity) )],[refute_0_1957,refute_0_2084]) ).
cnf(refute_0_2086,plain,
multiply(additive_identity,add(Y,a)) = add(multiply(additive_identity,Y),additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(Y,a)),add(multiply(additive_identity,Y),multiply(additive_identity,a))) )],[refute_0_2083,refute_0_2085]) ).
cnf(refute_0_2087,plain,
( multiply(additive_identity,add(Y,a)) != add(multiply(additive_identity,Y),additive_identity)
| add(multiply(additive_identity,Y),additive_identity) != multiply(additive_identity,Y)
| multiply(additive_identity,add(Y,a)) = multiply(additive_identity,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_identity,add(Y,a)),multiply(additive_identity,Y)) ),[0],$fot(add(multiply(additive_identity,Y),additive_identity))]]) ).
cnf(refute_0_2088,plain,
( multiply(additive_identity,add(Y,a)) != add(multiply(additive_identity,Y),additive_identity)
| multiply(additive_identity,add(Y,a)) = multiply(additive_identity,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,Y),additive_identity),multiply(additive_identity,Y)) )],[refute_0_1347,refute_0_2087]) ).
cnf(refute_0_2089,plain,
multiply(additive_identity,add(Y,a)) = multiply(additive_identity,Y),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(Y,a)),add(multiply(additive_identity,Y),additive_identity)) )],[refute_0_2086,refute_0_2088]) ).
cnf(refute_0_2090,plain,
multiply(additive_identity,add(a,a)) = multiply(additive_identity,a),
inference(subst,[],[refute_0_2089:[bind(Y,$fot(a))]]) ).
cnf(refute_0_2091,plain,
( multiply(additive_identity,add(a,a)) != multiply(additive_identity,a)
| multiply(additive_identity,a) != additive_identity
| multiply(additive_identity,add(a,a)) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(additive_identity,add(a,a)))),bind(Y0,$fot(multiply(additive_identity,a))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_2092,plain,
( multiply(additive_identity,a) != additive_identity
| multiply(additive_identity,add(a,a)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(a,a)),multiply(additive_identity,a)) )],[refute_0_2090,refute_0_2091]) ).
cnf(refute_0_2093,plain,
multiply(additive_identity,add(a,a)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(additive_identity,a),additive_identity) )],[refute_0_1957,refute_0_2092]) ).
cnf(refute_0_2094,plain,
multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),Z)) = multiply(multiply(add(a,additive_inverse(c)),additive_inverse(c)),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(add(a,additive_inverse(c)))),bind(Y,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2095,plain,
( multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),Z)) != multiply(multiply(add(a,additive_inverse(c)),additive_inverse(c)),Z)
| multiply(add(a,additive_inverse(c)),additive_inverse(c)) != additive_identity
| multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),Z)) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),Z)),multiply(multiply(add(a,additive_inverse(c)),additive_inverse(c)),Z)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2096,plain,
( multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),Z)) != multiply(multiply(add(a,additive_inverse(c)),additive_inverse(c)),Z)
| multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),additive_inverse(c)),additive_identity) )],[refute_0_1998,refute_0_2095]) ).
cnf(refute_0_2097,plain,
multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),Z)),multiply(multiply(add(a,additive_inverse(c)),additive_inverse(c)),Z)) )],[refute_0_2094,refute_0_2096]) ).
cnf(refute_0_2098,plain,
multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))) = multiply(additive_identity,add(a,a)),
inference(subst,[],[refute_0_2097:[bind(Z,$fot(add(a,a)))]]) ).
cnf(refute_0_2099,plain,
( multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))) != multiply(additive_identity,add(a,a))
| multiply(additive_identity,add(a,a)) != additive_identity
| multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))))),bind(Y0,$fot(multiply(additive_identity,add(a,a)))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_2100,plain,
( multiply(additive_identity,add(a,a)) != additive_identity
| multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))),multiply(additive_identity,add(a,a))) )],[refute_0_2098,refute_0_2099]) ).
cnf(refute_0_2101,plain,
multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(a,a)),additive_identity) )],[refute_0_2093,refute_0_2100]) ).
cnf(refute_0_2102,plain,
multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))),
introduced(tautology,[refl,[$fot(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))))]]) ).
cnf(refute_0_2103,plain,
( multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))) != additive_identity
| multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) != multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))))
| multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = multiply(additive_inverse(c),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))),multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2104,plain,
( multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))) != additive_identity
| multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = multiply(additive_inverse(c),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))),multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))))) )],[refute_0_2102,refute_0_2103]) ).
cnf(refute_0_2105,plain,
multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = multiply(additive_inverse(c),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a))),additive_identity) )],[refute_0_2101,refute_0_2104]) ).
cnf(refute_0_2106,plain,
( multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) != multiply(additive_inverse(c),additive_identity)
| multiply(additive_inverse(c),additive_identity) != additive_identity
| multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))))),bind(Y0,$fot(multiply(additive_inverse(c),additive_identity))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_2107,plain,
( multiply(additive_inverse(c),additive_identity) != additive_identity
| multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))),multiply(additive_inverse(c),additive_identity)) )],[refute_0_2105,refute_0_2106]) ).
cnf(refute_0_2108,plain,
multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),additive_identity),additive_identity) )],[refute_0_2082,refute_0_2107]) ).
cnf(refute_0_2109,plain,
( multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) != additive_identity
| additive_identity = multiply(additive_inverse(c),add(a,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))),multiply(additive_inverse(c),add(a,additive_inverse(c)))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_2110,plain,
( multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| additive_identity = multiply(additive_inverse(c),add(a,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))),additive_identity) )],[refute_0_2108,refute_0_2109]) ).
cnf(refute_0_2111,plain,
( multiply(additive_inverse(c),add(a,additive_inverse(c))) != multiply(additive_inverse(c),add(a,a))
| additive_identity != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| additive_identity = multiply(additive_inverse(c),add(a,a)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(additive_inverse(c),add(a,additive_inverse(c)))) ),[1],$fot(multiply(additive_inverse(c),add(a,a)))]]) ).
cnf(refute_0_2112,plain,
( additive_identity != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| additive_identity = multiply(additive_inverse(c),add(a,a)) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,additive_inverse(c))),multiply(additive_inverse(c),add(a,a))) )],[refute_0_2052,refute_0_2111]) ).
cnf(refute_0_2113,plain,
( multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))) != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| additive_identity = multiply(additive_inverse(c),add(a,a)) ),
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_inverse(c),add(a,additive_inverse(c)))) )],[refute_0_2110,refute_0_2112]) ).
cnf(refute_0_2114,plain,
additive_identity = multiply(additive_inverse(c),add(a,a)),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(add(a,additive_inverse(c)),multiply(additive_inverse(c),add(a,a)))),multiply(additive_inverse(c),add(a,additive_inverse(c)))) )],[refute_0_2055,refute_0_2113]) ).
cnf(refute_0_2115,plain,
( additive_identity != multiply(additive_inverse(c),add(a,a))
| multiply(additive_inverse(c),add(a,a)) = additive_identity ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_inverse(c),add(a,a))))]]) ).
cnf(refute_0_2116,plain,
multiply(additive_inverse(c),add(a,a)) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_inverse(c),add(a,a))) )],[refute_0_2114,refute_0_2115]) ).
cnf(refute_0_2117,plain,
( multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) != add(additive_inverse(c),multiply(additive_inverse(c),add(a,a)))
| multiply(additive_inverse(c),add(a,a)) != additive_identity
| multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) = add(additive_inverse(c),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))),add(additive_inverse(c),multiply(additive_inverse(c),add(a,a)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2118,plain,
( multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) != add(additive_inverse(c),multiply(additive_inverse(c),add(a,a)))
| multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) = add(additive_inverse(c),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,a)),additive_identity) )],[refute_0_2116,refute_0_2117]) ).
cnf(refute_0_2119,plain,
multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) = add(additive_inverse(c),additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))),add(additive_inverse(c),multiply(additive_inverse(c),add(a,a)))) )],[refute_0_1967,refute_0_2118]) ).
cnf(refute_0_2120,plain,
multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) = add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,additive_inverse(c)))),
inference(subst,[],[distribute1:[bind(X,$fot(additive_inverse(c))),bind(Z,$fot(add(a,additive_inverse(c))))]]) ).
cnf(refute_0_2121,plain,
( multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) != add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,additive_inverse(c))))
| multiply(additive_inverse(c),add(a,additive_inverse(c))) != multiply(additive_inverse(c),add(a,a))
| multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) = add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))),add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,additive_inverse(c))))) ),[1,1],$fot(multiply(additive_inverse(c),add(a,a)))]]) ).
cnf(refute_0_2122,plain,
( multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) != add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,additive_inverse(c))))
| multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) = add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a))) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,additive_inverse(c))),multiply(additive_inverse(c),add(a,a))) )],[refute_0_2052,refute_0_2121]) ).
cnf(refute_0_2123,plain,
multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) = add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a))),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))),add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,additive_inverse(c))))) )],[refute_0_2120,refute_0_2122]) ).
cnf(refute_0_2124,plain,
add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a))) = multiply(additive_inverse(c),add(Y,add(a,a))),
inference(subst,[],[refute_0_90:[bind(X,$fot(additive_inverse(c))),bind(Z,$fot(add(a,a)))]]) ).
cnf(refute_0_2125,plain,
( multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) != add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a)))
| add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a))) != multiply(additive_inverse(c),add(Y,add(a,a)))
| multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) = multiply(additive_inverse(c),add(Y,add(a,a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))),multiply(additive_inverse(c),add(Y,add(a,a)))) ),[0],$fot(add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a))))]]) ).
cnf(refute_0_2126,plain,
( multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) != add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a)))
| multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) = multiply(additive_inverse(c),add(Y,add(a,a))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a))),multiply(additive_inverse(c),add(Y,add(a,a)))) )],[refute_0_2124,refute_0_2125]) ).
cnf(refute_0_2127,plain,
multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))) = multiply(additive_inverse(c),add(Y,add(a,a))),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(Y,add(a,additive_inverse(c)))),add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a)))) )],[refute_0_2123,refute_0_2126]) ).
cnf(refute_0_2128,plain,
multiply(additive_inverse(c),add(a,add(a,additive_inverse(c)))) = multiply(additive_inverse(c),add(a,add(a,a))),
inference(subst,[],[refute_0_2127:[bind(Y,$fot(a))]]) ).
cnf(refute_0_2129,plain,
multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) = add(X_29,multiply(X_29,multiply(add(X_61,X_29),X_61))),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(multiply(add(X_61,X_29),X_61)))]]) ).
cnf(refute_0_2130,plain,
multiply(X_29,add(X_61,X_61)) = multiply(X_29,multiply(add(X_61,X_29),X_61)),
inference(subst,[],[refute_0_930:[bind(X_28,$fot(X_61)),bind(X_49,$fot(X_29))]]) ).
cnf(refute_0_2131,plain,
( multiply(X_29,add(X_61,X_61)) != multiply(X_29,multiply(add(X_61,X_29),X_61))
| multiply(X_29,multiply(add(X_61,X_29),X_61)) = multiply(X_29,add(X_61,X_61)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_29,add(X_61,X_61)))),bind(Y0,$fot(multiply(X_29,multiply(add(X_61,X_29),X_61))))]]) ).
cnf(refute_0_2132,plain,
multiply(X_29,multiply(add(X_61,X_29),X_61)) = multiply(X_29,add(X_61,X_61)),
inference(resolve,[$cnf( $equal(multiply(X_29,add(X_61,X_61)),multiply(X_29,multiply(add(X_61,X_29),X_61))) )],[refute_0_2130,refute_0_2131]) ).
cnf(refute_0_2133,plain,
( multiply(X_29,multiply(add(X_61,X_29),X_61)) != multiply(X_29,add(X_61,X_61))
| multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) != add(X_29,multiply(X_29,multiply(add(X_61,X_29),X_61)))
| multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) = add(X_29,multiply(X_29,add(X_61,X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)),add(X_29,multiply(X_29,multiply(add(X_61,X_29),X_61)))) ),[1,1],$fot(multiply(X_29,add(X_61,X_61)))]]) ).
cnf(refute_0_2134,plain,
( multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) != add(X_29,multiply(X_29,multiply(add(X_61,X_29),X_61)))
| multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) = add(X_29,multiply(X_29,add(X_61,X_61))) ),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(add(X_61,X_29),X_61)),multiply(X_29,add(X_61,X_61))) )],[refute_0_2132,refute_0_2133]) ).
cnf(refute_0_2135,plain,
multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) = add(X_29,multiply(X_29,add(X_61,X_61))),
inference(resolve,[$cnf( $equal(multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)),add(X_29,multiply(X_29,multiply(add(X_61,X_29),X_61)))) )],[refute_0_2129,refute_0_2134]) ).
cnf(refute_0_2136,plain,
multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) = multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))),
inference(subst,[],[refute_0_654:[bind(X_31,$fot(multiply(add(X_61,X_29),X_61))),bind(X_32,$fot(X_29))]]) ).
cnf(refute_0_2137,plain,
( multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) != multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61)))
| multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) != add(X_29,multiply(X_29,add(X_61,X_61)))
| multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) = add(X_29,multiply(X_29,add(X_61,X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)),add(X_29,multiply(X_29,add(X_61,X_61)))) ),[0],$fot(multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))))]]) ).
cnf(refute_0_2138,plain,
( multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) != add(X_29,multiply(X_29,add(X_61,X_61)))
| multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) = add(X_29,multiply(X_29,add(X_61,X_61))) ),
inference(resolve,[$cnf( $equal(multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)),multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61)))) )],[refute_0_2136,refute_0_2137]) ).
cnf(refute_0_2139,plain,
add(add(X_61,X_61),X_29) = add(X_61,add(X_61,X_29)),
inference(subst,[],[refute_0_205:[bind(X,$fot(X_61)),bind(Y,$fot(X_61)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_2140,plain,
multiply(X_29,add(add(X_61,X_61),X_29)) = multiply(X_29,add(add(X_61,X_61),X_29)),
introduced(tautology,[refl,[$fot(multiply(X_29,add(add(X_61,X_61),X_29)))]]) ).
cnf(refute_0_2141,plain,
( multiply(X_29,add(add(X_61,X_61),X_29)) != multiply(X_29,add(add(X_61,X_61),X_29))
| add(add(X_61,X_61),X_29) != add(X_61,add(X_61,X_29))
| multiply(X_29,add(add(X_61,X_61),X_29)) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,add(add(X_61,X_61),X_29)),multiply(X_29,add(add(X_61,X_61),X_29))) ),[1,1],$fot(add(X_61,add(X_61,X_29)))]]) ).
cnf(refute_0_2142,plain,
( add(add(X_61,X_61),X_29) != add(X_61,add(X_61,X_29))
| multiply(X_29,add(add(X_61,X_61),X_29)) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(X_29,add(add(X_61,X_61),X_29)),multiply(X_29,add(add(X_61,X_61),X_29))) )],[refute_0_2140,refute_0_2141]) ).
cnf(refute_0_2143,plain,
multiply(X_29,add(add(X_61,X_61),X_29)) = multiply(X_29,add(X_61,add(X_61,X_29))),
inference(resolve,[$cnf( $equal(add(add(X_61,X_61),X_29),add(X_61,add(X_61,X_29))) )],[refute_0_2139,refute_0_2142]) ).
cnf(refute_0_2144,plain,
add(X_29,multiply(X_29,add(X_61,X_61))) = multiply(X_29,add(add(X_61,X_61),X_29)),
inference(subst,[],[refute_0_293:[bind(X_28,$fot(add(X_61,X_61)))]]) ).
cnf(refute_0_2145,plain,
( multiply(X_29,add(add(X_61,X_61),X_29)) != multiply(X_29,add(X_61,add(X_61,X_29)))
| add(X_29,multiply(X_29,add(X_61,X_61))) != multiply(X_29,add(add(X_61,X_61),X_29))
| add(X_29,multiply(X_29,add(X_61,X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_29,multiply(X_29,add(X_61,X_61))))),bind(Y0,$fot(multiply(X_29,add(add(X_61,X_61),X_29)))),bind(Z0,$fot(multiply(X_29,add(X_61,add(X_61,X_29)))))]]) ).
cnf(refute_0_2146,plain,
( multiply(X_29,add(add(X_61,X_61),X_29)) != multiply(X_29,add(X_61,add(X_61,X_29)))
| add(X_29,multiply(X_29,add(X_61,X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
inference(resolve,[$cnf( $equal(add(X_29,multiply(X_29,add(X_61,X_61))),multiply(X_29,add(add(X_61,X_61),X_29))) )],[refute_0_2144,refute_0_2145]) ).
cnf(refute_0_2147,plain,
add(X_29,multiply(X_29,add(X_61,X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))),
inference(resolve,[$cnf( $equal(multiply(X_29,add(add(X_61,X_61),X_29)),multiply(X_29,add(X_61,add(X_61,X_29)))) )],[refute_0_2143,refute_0_2146]) ).
cnf(refute_0_2148,plain,
( multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) != add(X_29,multiply(X_29,add(X_61,X_61)))
| add(X_29,multiply(X_29,add(X_61,X_61))) != multiply(X_29,add(X_61,add(X_61,X_29)))
| multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))),multiply(X_29,add(X_61,add(X_61,X_29)))) ),[0],$fot(add(X_29,multiply(X_29,add(X_61,X_61))))]]) ).
cnf(refute_0_2149,plain,
( multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) != add(X_29,multiply(X_29,add(X_61,X_61)))
| multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
inference(resolve,[$cnf( $equal(add(X_29,multiply(X_29,add(X_61,X_61))),multiply(X_29,add(X_61,add(X_61,X_29)))) )],[refute_0_2147,refute_0_2148]) ).
cnf(refute_0_2150,plain,
( multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)) != add(X_29,multiply(X_29,add(X_61,X_61)))
| multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))),add(X_29,multiply(X_29,add(X_61,X_61)))) )],[refute_0_2138,refute_0_2149]) ).
cnf(refute_0_2151,plain,
multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))),
inference(resolve,[$cnf( $equal(multiply(X_29,add(multiply(add(X_61,X_29),X_61),X_29)),add(X_29,multiply(X_29,add(X_61,X_61)))) )],[refute_0_2135,refute_0_2150]) ).
cnf(refute_0_2152,plain,
multiply(X,add(Y,multiply(add(X_61,X),X_61))) = add(multiply(X,Y),multiply(X,multiply(add(X_61,X),X_61))),
inference(subst,[],[distribute1:[bind(Z,$fot(multiply(add(X_61,X),X_61)))]]) ).
cnf(refute_0_2153,plain,
multiply(X,add(X_61,X_61)) = multiply(X,multiply(add(X_61,X),X_61)),
inference(subst,[],[refute_0_930:[bind(X_28,$fot(X_61)),bind(X_49,$fot(X))]]) ).
cnf(refute_0_2154,plain,
( multiply(X,add(X_61,X_61)) != multiply(X,multiply(add(X_61,X),X_61))
| multiply(X,multiply(add(X_61,X),X_61)) = multiply(X,add(X_61,X_61)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,add(X_61,X_61)))),bind(Y0,$fot(multiply(X,multiply(add(X_61,X),X_61))))]]) ).
cnf(refute_0_2155,plain,
multiply(X,multiply(add(X_61,X),X_61)) = multiply(X,add(X_61,X_61)),
inference(resolve,[$cnf( $equal(multiply(X,add(X_61,X_61)),multiply(X,multiply(add(X_61,X),X_61))) )],[refute_0_2153,refute_0_2154]) ).
cnf(refute_0_2156,plain,
( multiply(X,multiply(add(X_61,X),X_61)) != multiply(X,add(X_61,X_61))
| multiply(X,add(Y,multiply(add(X_61,X),X_61))) != add(multiply(X,Y),multiply(X,multiply(add(X_61,X),X_61)))
| multiply(X,add(Y,multiply(add(X_61,X),X_61))) = add(multiply(X,Y),multiply(X,add(X_61,X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,multiply(add(X_61,X),X_61))),add(multiply(X,Y),multiply(X,multiply(add(X_61,X),X_61)))) ),[1,1],$fot(multiply(X,add(X_61,X_61)))]]) ).
cnf(refute_0_2157,plain,
( multiply(X,add(Y,multiply(add(X_61,X),X_61))) != add(multiply(X,Y),multiply(X,multiply(add(X_61,X),X_61)))
| multiply(X,add(Y,multiply(add(X_61,X),X_61))) = add(multiply(X,Y),multiply(X,add(X_61,X_61))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(add(X_61,X),X_61)),multiply(X,add(X_61,X_61))) )],[refute_0_2155,refute_0_2156]) ).
cnf(refute_0_2158,plain,
multiply(X,add(Y,multiply(add(X_61,X),X_61))) = add(multiply(X,Y),multiply(X,add(X_61,X_61))),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(add(X_61,X),X_61))),add(multiply(X,Y),multiply(X,multiply(add(X_61,X),X_61)))) )],[refute_0_2152,refute_0_2157]) ).
cnf(refute_0_2159,plain,
add(multiply(X,Y),multiply(X,add(X_61,X_61))) = multiply(X,add(Y,add(X_61,X_61))),
inference(subst,[],[refute_0_90:[bind(Z,$fot(add(X_61,X_61)))]]) ).
cnf(refute_0_2160,plain,
( multiply(X,add(Y,multiply(add(X_61,X),X_61))) != add(multiply(X,Y),multiply(X,add(X_61,X_61)))
| add(multiply(X,Y),multiply(X,add(X_61,X_61))) != multiply(X,add(Y,add(X_61,X_61)))
| multiply(X,add(Y,multiply(add(X_61,X),X_61))) = multiply(X,add(Y,add(X_61,X_61))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(Y,multiply(add(X_61,X),X_61))),multiply(X,add(Y,add(X_61,X_61)))) ),[0],$fot(add(multiply(X,Y),multiply(X,add(X_61,X_61))))]]) ).
cnf(refute_0_2161,plain,
( multiply(X,add(Y,multiply(add(X_61,X),X_61))) != add(multiply(X,Y),multiply(X,add(X_61,X_61)))
| multiply(X,add(Y,multiply(add(X_61,X),X_61))) = multiply(X,add(Y,add(X_61,X_61))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,add(X_61,X_61))),multiply(X,add(Y,add(X_61,X_61)))) )],[refute_0_2159,refute_0_2160]) ).
cnf(refute_0_2162,plain,
multiply(X,add(Y,multiply(add(X_61,X),X_61))) = multiply(X,add(Y,add(X_61,X_61))),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(add(X_61,X),X_61))),add(multiply(X,Y),multiply(X,add(X_61,X_61)))) )],[refute_0_2158,refute_0_2161]) ).
cnf(refute_0_2163,plain,
multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) = multiply(X_29,add(X_29,add(X_61,X_61))),
inference(subst,[],[refute_0_2162:[bind(X,$fot(X_29)),bind(Y,$fot(X_29))]]) ).
cnf(refute_0_2164,plain,
( multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) != multiply(X_29,add(X_29,add(X_61,X_61)))
| multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) != multiply(X_29,add(X_61,add(X_61,X_29)))
| multiply(X_29,add(X_29,add(X_61,X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))),multiply(X_29,add(X_61,add(X_61,X_29)))) ),[0],$fot(multiply(X_29,add(X_29,add(X_61,X_61))))]]) ).
cnf(refute_0_2165,plain,
( multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))) != multiply(X_29,add(X_61,add(X_61,X_29)))
| multiply(X_29,add(X_29,add(X_61,X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))),multiply(X_29,add(X_29,add(X_61,X_61)))) )],[refute_0_2163,refute_0_2164]) ).
cnf(refute_0_2166,plain,
multiply(X_29,add(X_29,add(X_61,X_61))) = multiply(X_29,add(X_61,add(X_61,X_29))),
inference(resolve,[$cnf( $equal(multiply(X_29,add(X_29,multiply(add(X_61,X_29),X_61))),multiply(X_29,add(X_61,add(X_61,X_29)))) )],[refute_0_2151,refute_0_2165]) ).
cnf(refute_0_2167,plain,
multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))) = multiply(additive_inverse(c),add(a,add(a,additive_inverse(c)))),
inference(subst,[],[refute_0_2166:[bind(X_29,$fot(additive_inverse(c))),bind(X_61,$fot(a))]]) ).
cnf(refute_0_2168,plain,
( multiply(additive_inverse(c),add(a,add(a,additive_inverse(c)))) != multiply(additive_inverse(c),add(a,add(a,a)))
| multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))) != multiply(additive_inverse(c),add(a,add(a,additive_inverse(c))))
| multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))) = multiply(additive_inverse(c),add(a,add(a,a))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))))),bind(Y0,$fot(multiply(additive_inverse(c),add(a,add(a,additive_inverse(c)))))),bind(Z0,$fot(multiply(additive_inverse(c),add(a,add(a,a)))))]]) ).
cnf(refute_0_2169,plain,
( multiply(additive_inverse(c),add(a,add(a,additive_inverse(c)))) != multiply(additive_inverse(c),add(a,add(a,a)))
| multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))) = multiply(additive_inverse(c),add(a,add(a,a))) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))),multiply(additive_inverse(c),add(a,add(a,additive_inverse(c))))) )],[refute_0_2167,refute_0_2168]) ).
cnf(refute_0_2170,plain,
multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))) = multiply(additive_inverse(c),add(a,add(a,a))),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,add(a,additive_inverse(c)))),multiply(additive_inverse(c),add(a,add(a,a)))) )],[refute_0_2128,refute_0_2169]) ).
cnf(refute_0_2171,plain,
multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) = multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))),
inference(subst,[],[refute_0_654:[bind(X_31,$fot(add(a,a))),bind(X_32,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2172,plain,
( multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) != multiply(additive_inverse(c),add(additive_inverse(c),add(a,a)))
| multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))) != multiply(additive_inverse(c),add(a,add(a,a)))
| multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) = multiply(additive_inverse(c),add(a,add(a,a))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))))),bind(Y0,$fot(multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))))),bind(Z0,$fot(multiply(additive_inverse(c),add(a,add(a,a)))))]]) ).
cnf(refute_0_2173,plain,
( multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))) != multiply(additive_inverse(c),add(a,add(a,a)))
| multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) = multiply(additive_inverse(c),add(a,add(a,a))) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))),multiply(additive_inverse(c),add(additive_inverse(c),add(a,a)))) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) = multiply(additive_inverse(c),add(a,add(a,a))),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(additive_inverse(c),add(a,a))),multiply(additive_inverse(c),add(a,add(a,a)))) )],[refute_0_2170,refute_0_2173]) ).
cnf(refute_0_2175,plain,
( multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) != multiply(additive_inverse(c),add(a,add(a,a)))
| multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) != add(additive_inverse(c),additive_identity)
| multiply(additive_inverse(c),add(a,add(a,a))) = add(additive_inverse(c),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))),add(additive_inverse(c),additive_identity)) ),[0],$fot(multiply(additive_inverse(c),add(a,add(a,a))))]]) ).
cnf(refute_0_2176,plain,
( multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) != add(additive_inverse(c),additive_identity)
| multiply(additive_inverse(c),add(a,add(a,a))) = add(additive_inverse(c),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))),multiply(additive_inverse(c),add(a,add(a,a)))) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
add(additive_inverse(c),additive_identity) = add(additive_identity,additive_inverse(c)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2178,plain,
( add(additive_identity,additive_inverse(c)) != additive_inverse(c)
| add(additive_inverse(c),additive_identity) != add(additive_identity,additive_inverse(c))
| add(additive_inverse(c),additive_identity) = additive_inverse(c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(additive_inverse(c),additive_identity))),bind(Y0,$fot(add(additive_identity,additive_inverse(c)))),bind(Z0,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2179,plain,
( add(additive_identity,additive_inverse(c)) != additive_inverse(c)
| add(additive_inverse(c),additive_identity) = additive_inverse(c) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),additive_identity),add(additive_identity,additive_inverse(c))) )],[refute_0_2177,refute_0_2178]) ).
cnf(refute_0_2180,plain,
add(additive_inverse(c),additive_identity) = additive_inverse(c),
inference(resolve,[$cnf( $equal(add(additive_identity,additive_inverse(c)),additive_inverse(c)) )],[refute_0_2009,refute_0_2179]) ).
cnf(refute_0_2181,plain,
( multiply(additive_inverse(c),add(a,add(a,a))) != add(additive_inverse(c),additive_identity)
| add(additive_inverse(c),additive_identity) != additive_inverse(c)
| multiply(additive_inverse(c),add(a,add(a,a))) = additive_inverse(c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_inverse(c),add(a,add(a,a))),additive_inverse(c)) ),[0],$fot(add(additive_inverse(c),additive_identity))]]) ).
cnf(refute_0_2182,plain,
( multiply(additive_inverse(c),add(a,add(a,a))) != add(additive_inverse(c),additive_identity)
| multiply(additive_inverse(c),add(a,add(a,a))) = additive_inverse(c) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),additive_identity),additive_inverse(c)) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
( multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))) != add(additive_inverse(c),additive_identity)
| multiply(additive_inverse(c),add(a,add(a,a))) = additive_inverse(c) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,add(a,a))),add(additive_inverse(c),additive_identity)) )],[refute_0_2176,refute_0_2182]) ).
cnf(refute_0_2184,plain,
multiply(additive_inverse(c),add(a,add(a,a))) = additive_inverse(c),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(add(a,a),additive_inverse(c))),add(additive_inverse(c),additive_identity)) )],[refute_0_2119,refute_0_2183]) ).
cnf(refute_0_2185,plain,
multiply(additive_inverse(c),add(Y,add(a,a))) = add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a))),
inference(subst,[],[distribute1:[bind(X,$fot(additive_inverse(c))),bind(Z,$fot(add(a,a)))]]) ).
cnf(refute_0_2186,plain,
( multiply(additive_inverse(c),add(Y,add(a,a))) != add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a)))
| multiply(additive_inverse(c),add(a,a)) != additive_identity
| multiply(additive_inverse(c),add(Y,add(a,a))) = add(multiply(additive_inverse(c),Y),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(Y,add(a,a))),add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2187,plain,
( multiply(additive_inverse(c),add(Y,add(a,a))) != add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a)))
| multiply(additive_inverse(c),add(Y,add(a,a))) = add(multiply(additive_inverse(c),Y),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,a)),additive_identity) )],[refute_0_2116,refute_0_2186]) ).
cnf(refute_0_2188,plain,
multiply(additive_inverse(c),add(Y,add(a,a))) = add(multiply(additive_inverse(c),Y),additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(Y,add(a,a))),add(multiply(additive_inverse(c),Y),multiply(additive_inverse(c),add(a,a)))) )],[refute_0_2185,refute_0_2187]) ).
cnf(refute_0_2189,plain,
add(additive_identity,multiply(additive_inverse(c),Y)) = multiply(additive_inverse(c),Y),
inference(subst,[],[left_additive_identity:[bind(X,$fot(multiply(additive_inverse(c),Y)))]]) ).
cnf(refute_0_2190,plain,
add(multiply(additive_inverse(c),Y),additive_identity) = add(additive_identity,multiply(additive_inverse(c),Y)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(multiply(additive_inverse(c),Y)))]]) ).
cnf(refute_0_2191,plain,
( add(multiply(additive_inverse(c),Y),additive_identity) != add(additive_identity,multiply(additive_inverse(c),Y))
| add(additive_identity,multiply(additive_inverse(c),Y)) != multiply(additive_inverse(c),Y)
| add(multiply(additive_inverse(c),Y),additive_identity) = multiply(additive_inverse(c),Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_inverse(c),Y),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(additive_inverse(c),Y)))),bind(Z0,$fot(multiply(additive_inverse(c),Y)))]]) ).
cnf(refute_0_2192,plain,
( add(additive_identity,multiply(additive_inverse(c),Y)) != multiply(additive_inverse(c),Y)
| add(multiply(additive_inverse(c),Y),additive_identity) = multiply(additive_inverse(c),Y) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_inverse(c),Y),additive_identity),add(additive_identity,multiply(additive_inverse(c),Y))) )],[refute_0_2190,refute_0_2191]) ).
cnf(refute_0_2193,plain,
add(multiply(additive_inverse(c),Y),additive_identity) = multiply(additive_inverse(c),Y),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(additive_inverse(c),Y)),multiply(additive_inverse(c),Y)) )],[refute_0_2189,refute_0_2192]) ).
cnf(refute_0_2194,plain,
( multiply(additive_inverse(c),add(Y,add(a,a))) != add(multiply(additive_inverse(c),Y),additive_identity)
| add(multiply(additive_inverse(c),Y),additive_identity) != multiply(additive_inverse(c),Y)
| multiply(additive_inverse(c),add(Y,add(a,a))) = multiply(additive_inverse(c),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_inverse(c),add(Y,add(a,a))),multiply(additive_inverse(c),Y)) ),[0],$fot(add(multiply(additive_inverse(c),Y),additive_identity))]]) ).
cnf(refute_0_2195,plain,
( multiply(additive_inverse(c),add(Y,add(a,a))) != add(multiply(additive_inverse(c),Y),additive_identity)
| multiply(additive_inverse(c),add(Y,add(a,a))) = multiply(additive_inverse(c),Y) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_inverse(c),Y),additive_identity),multiply(additive_inverse(c),Y)) )],[refute_0_2193,refute_0_2194]) ).
cnf(refute_0_2196,plain,
multiply(additive_inverse(c),add(Y,add(a,a))) = multiply(additive_inverse(c),Y),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(Y,add(a,a))),add(multiply(additive_inverse(c),Y),additive_identity)) )],[refute_0_2188,refute_0_2195]) ).
cnf(refute_0_2197,plain,
multiply(additive_inverse(c),add(a,add(a,a))) = multiply(additive_inverse(c),a),
inference(subst,[],[refute_0_2196:[bind(Y,$fot(a))]]) ).
cnf(refute_0_2198,plain,
( multiply(additive_inverse(c),add(a,add(a,a))) != multiply(additive_inverse(c),a)
| multiply(additive_inverse(c),add(a,add(a,a))) != additive_inverse(c)
| multiply(additive_inverse(c),a) = additive_inverse(c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(a,add(a,a))),additive_inverse(c)) ),[0],$fot(multiply(additive_inverse(c),a))]]) ).
cnf(refute_0_2199,plain,
( multiply(additive_inverse(c),add(a,add(a,a))) != additive_inverse(c)
| multiply(additive_inverse(c),a) = additive_inverse(c) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,add(a,a))),multiply(additive_inverse(c),a)) )],[refute_0_2197,refute_0_2198]) ).
cnf(refute_0_2200,plain,
multiply(additive_inverse(c),a) = additive_inverse(c),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,add(a,a))),additive_inverse(c)) )],[refute_0_2184,refute_0_2199]) ).
cnf(refute_0_2201,plain,
( multiply(additive_inverse(c),add(a,additive_inverse(c))) != add(additive_inverse(c),multiply(additive_inverse(c),a))
| multiply(additive_inverse(c),a) != additive_inverse(c)
| multiply(additive_inverse(c),add(a,additive_inverse(c))) = add(additive_inverse(c),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(a,additive_inverse(c))),add(additive_inverse(c),multiply(additive_inverse(c),a))) ),[1,1],$fot(additive_inverse(c))]]) ).
cnf(refute_0_2202,plain,
( multiply(additive_inverse(c),add(a,additive_inverse(c))) != add(additive_inverse(c),multiply(additive_inverse(c),a))
| multiply(additive_inverse(c),add(a,additive_inverse(c))) = add(additive_inverse(c),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),a),additive_inverse(c)) )],[refute_0_2200,refute_0_2201]) ).
cnf(refute_0_2203,plain,
multiply(additive_inverse(c),add(a,additive_inverse(c))) = add(additive_inverse(c),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,additive_inverse(c))),add(additive_inverse(c),multiply(additive_inverse(c),a))) )],[refute_0_1966,refute_0_2202]) ).
cnf(refute_0_2204,plain,
( multiply(additive_inverse(c),add(a,a)) != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| multiply(additive_inverse(c),add(a,a)) != additive_identity
| additive_identity = multiply(additive_inverse(c),add(a,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(a,a)),multiply(additive_inverse(c),add(a,additive_inverse(c)))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_2205,plain,
( multiply(additive_inverse(c),add(a,a)) != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| additive_identity = multiply(additive_inverse(c),add(a,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,a)),additive_identity) )],[refute_0_2116,refute_0_2204]) ).
cnf(refute_0_2206,plain,
additive_identity = multiply(additive_inverse(c),add(a,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,a)),multiply(additive_inverse(c),add(a,additive_inverse(c)))) )],[refute_0_2050,refute_0_2205]) ).
cnf(refute_0_2207,plain,
( additive_identity != multiply(additive_inverse(c),add(a,additive_inverse(c)))
| multiply(additive_inverse(c),add(a,additive_inverse(c))) = additive_identity ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_inverse(c),add(a,additive_inverse(c)))))]]) ).
cnf(refute_0_2208,plain,
multiply(additive_inverse(c),add(a,additive_inverse(c))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_inverse(c),add(a,additive_inverse(c)))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
( multiply(additive_inverse(c),add(a,additive_inverse(c))) != add(additive_inverse(c),additive_inverse(c))
| multiply(additive_inverse(c),add(a,additive_inverse(c))) != additive_identity
| additive_identity = add(additive_inverse(c),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),add(a,additive_inverse(c))),add(additive_inverse(c),additive_inverse(c))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_2210,plain,
( multiply(additive_inverse(c),add(a,additive_inverse(c))) != add(additive_inverse(c),additive_inverse(c))
| additive_identity = add(additive_inverse(c),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,additive_inverse(c))),additive_identity) )],[refute_0_2208,refute_0_2209]) ).
cnf(refute_0_2211,plain,
additive_identity = add(additive_inverse(c),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),add(a,additive_inverse(c))),add(additive_inverse(c),additive_inverse(c))) )],[refute_0_2203,refute_0_2210]) ).
cnf(refute_0_2212,plain,
( additive_identity != add(additive_inverse(c),additive_inverse(c))
| add(additive_inverse(c),additive_inverse(c)) = additive_identity ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(add(additive_inverse(c),additive_inverse(c))))]]) ).
cnf(refute_0_2213,plain,
add(additive_inverse(c),additive_inverse(c)) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,add(additive_inverse(c),additive_inverse(c))) )],[refute_0_2211,refute_0_2212]) ).
cnf(refute_0_2214,plain,
( add(additive_inverse(c),additive_inverse(c)) != additive_identity
| additive_inverse(c) != add(c,add(additive_inverse(c),additive_inverse(c)))
| additive_inverse(c) = add(c,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(additive_inverse(c),add(c,add(additive_inverse(c),additive_inverse(c)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2215,plain,
( additive_inverse(c) != add(c,add(additive_inverse(c),additive_inverse(c)))
| additive_inverse(c) = add(c,additive_identity) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),additive_inverse(c)),additive_identity) )],[refute_0_2213,refute_0_2214]) ).
cnf(refute_0_2216,plain,
additive_inverse(c) = add(c,additive_identity),
inference(resolve,[$cnf( $equal(additive_inverse(c),add(c,add(additive_inverse(c),additive_inverse(c)))) )],[refute_0_1965,refute_0_2215]) ).
cnf(refute_0_2217,plain,
( add(c,additive_identity) != c
| additive_inverse(c) != add(c,additive_identity)
| additive_inverse(c) = c ),
introduced(tautology,[equality,[$cnf( $equal(additive_inverse(c),add(c,additive_identity)) ),[1],$fot(c)]]) ).
cnf(refute_0_2218,plain,
( additive_inverse(c) != add(c,additive_identity)
| additive_inverse(c) = c ),
inference(resolve,[$cnf( $equal(add(c,additive_identity),c) )],[refute_0_261,refute_0_2217]) ).
cnf(refute_0_2219,plain,
additive_inverse(c) = c,
inference(resolve,[$cnf( $equal(additive_inverse(c),add(c,additive_identity)) )],[refute_0_2216,refute_0_2218]) ).
cnf(refute_0_2220,plain,
add(a,additive_inverse(c)) = add(a,additive_inverse(c)),
introduced(tautology,[refl,[$fot(add(a,additive_inverse(c)))]]) ).
cnf(refute_0_2221,plain,
( add(a,additive_inverse(c)) != add(a,additive_inverse(c))
| additive_inverse(c) != c
| add(a,additive_inverse(c)) = add(a,c) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,additive_inverse(c)),add(a,additive_inverse(c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2222,plain,
( additive_inverse(c) != c
| add(a,additive_inverse(c)) = add(a,c) ),
inference(resolve,[$cnf( $equal(add(a,additive_inverse(c)),add(a,additive_inverse(c))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
add(a,additive_inverse(c)) = add(a,c),
inference(resolve,[$cnf( $equal(additive_inverse(c),c) )],[refute_0_2219,refute_0_2222]) ).
cnf(refute_0_2224,plain,
multiply(add(a,additive_inverse(c)),Z) = multiply(add(a,additive_inverse(c)),Z),
introduced(tautology,[refl,[$fot(multiply(add(a,additive_inverse(c)),Z))]]) ).
cnf(refute_0_2225,plain,
( multiply(add(a,additive_inverse(c)),Z) != multiply(add(a,additive_inverse(c)),Z)
| add(a,additive_inverse(c)) != add(a,c)
| multiply(add(a,additive_inverse(c)),Z) = multiply(add(a,c),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,additive_inverse(c)),Z),multiply(add(a,additive_inverse(c)),Z)) ),[1,0],$fot(add(a,c))]]) ).
cnf(refute_0_2226,plain,
( add(a,additive_inverse(c)) != add(a,c)
| multiply(add(a,additive_inverse(c)),Z) = multiply(add(a,c),Z) ),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),Z),multiply(add(a,additive_inverse(c)),Z)) )],[refute_0_2224,refute_0_2225]) ).
cnf(refute_0_2227,plain,
multiply(add(a,additive_inverse(c)),Z) = multiply(add(a,c),Z),
inference(resolve,[$cnf( $equal(add(a,additive_inverse(c)),add(a,c)) )],[refute_0_2223,refute_0_2226]) ).
cnf(refute_0_2228,plain,
multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(c,multiply(add(a,additive_inverse(c)),Z)),
introduced(tautology,[refl,[$fot(multiply(c,multiply(add(a,additive_inverse(c)),Z)))]]) ).
cnf(refute_0_2229,plain,
( multiply(add(a,additive_inverse(c)),Z) != multiply(add(a,c),Z)
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(c,multiply(add(a,additive_inverse(c)),Z))
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(c,multiply(add(a,c),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(c,multiply(add(a,additive_inverse(c)),Z))) ),[1,1],$fot(multiply(add(a,c),Z))]]) ).
cnf(refute_0_2230,plain,
( multiply(add(a,additive_inverse(c)),Z) != multiply(add(a,c),Z)
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(c,multiply(add(a,c),Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(c,multiply(add(a,additive_inverse(c)),Z))) )],[refute_0_2228,refute_0_2229]) ).
cnf(refute_0_2231,plain,
multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(c,multiply(add(a,c),Z)),
inference(resolve,[$cnf( $equal(multiply(add(a,additive_inverse(c)),Z),multiply(add(a,c),Z)) )],[refute_0_2227,refute_0_2230]) ).
cnf(refute_0_2232,plain,
( multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(c,multiply(add(a,c),Z))
| multiply(c,multiply(add(a,c),Z)) != multiply(c,multiply(add(a,b),Z))
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(c,multiply(add(a,b),Z)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(a,additive_inverse(c)),Z)))),bind(Y0,$fot(multiply(c,multiply(add(a,c),Z)))),bind(Z0,$fot(multiply(c,multiply(add(a,b),Z))))]]) ).
cnf(refute_0_2233,plain,
( multiply(c,multiply(add(a,c),Z)) != multiply(c,multiply(add(a,b),Z))
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(c,multiply(add(a,b),Z)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(c,multiply(add(a,c),Z))) )],[refute_0_2231,refute_0_2232]) ).
cnf(refute_0_2234,plain,
multiply(c,multiply(add(a,additive_inverse(c)),Z)) = multiply(c,multiply(add(a,b),Z)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),Z)),multiply(c,multiply(add(a,b),Z))) )],[refute_0_1964,refute_0_2233]) ).
cnf(refute_0_2235,plain,
( multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(additive_identity,Z)
| multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(c,multiply(add(a,b),Z))
| multiply(c,multiply(add(a,b),Z)) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(additive_identity,Z)) ),[0],$fot(multiply(c,multiply(add(a,b),Z)))]]) ).
cnf(refute_0_2236,plain,
( multiply(c,multiply(add(a,additive_inverse(c)),Z)) != multiply(additive_identity,Z)
| multiply(c,multiply(add(a,b),Z)) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(c,multiply(add(a,b),Z))) )],[refute_0_2234,refute_0_2235]) ).
cnf(refute_0_2237,plain,
multiply(c,multiply(add(a,b),Z)) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,additive_inverse(c)),Z)),multiply(additive_identity,Z)) )],[refute_0_1963,refute_0_2236]) ).
cnf(refute_0_2238,plain,
multiply(c,multiply(add(a,b),X_16)) = multiply(additive_identity,X_16),
inference(subst,[],[refute_0_2237:[bind(Z,$fot(X_16))]]) ).
cnf(refute_0_2239,plain,
multiply(c,multiply(add(a,c),X_16)) = multiply(c,multiply(add(a,b),X_16)),
inference(subst,[],[refute_0_1369:[bind(Z,$fot(X_16)),bind(X_39,$fot(a))]]) ).
cnf(refute_0_2240,plain,
( multiply(c,multiply(add(a,b),X_16)) != multiply(additive_identity,X_16)
| multiply(c,multiply(add(a,c),X_16)) != multiply(c,multiply(add(a,b),X_16))
| multiply(c,multiply(add(a,c),X_16)) = multiply(additive_identity,X_16) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(add(a,c),X_16)))),bind(Y0,$fot(multiply(c,multiply(add(a,b),X_16)))),bind(Z0,$fot(multiply(additive_identity,X_16)))]]) ).
cnf(refute_0_2241,plain,
( multiply(c,multiply(add(a,b),X_16)) != multiply(additive_identity,X_16)
| multiply(c,multiply(add(a,c),X_16)) = multiply(additive_identity,X_16) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),X_16)),multiply(c,multiply(add(a,b),X_16))) )],[refute_0_2239,refute_0_2240]) ).
cnf(refute_0_2242,plain,
multiply(c,multiply(add(a,c),X_16)) = multiply(additive_identity,X_16),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,b),X_16)),multiply(additive_identity,X_16)) )],[refute_0_2238,refute_0_2241]) ).
cnf(refute_0_2243,plain,
( multiply(c,multiply(add(a,c),X_16)) != multiply(additive_identity,X_16)
| multiply(c,multiply(add(a,c),X_16)) != multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))
| multiply(additive_identity,X_16) = multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(add(a,c),X_16)),multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))) ),[0],$fot(multiply(additive_identity,X_16))]]) ).
cnf(refute_0_2244,plain,
( multiply(c,multiply(add(a,c),X_16)) != multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))
| multiply(additive_identity,X_16) = multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),X_16)),multiply(additive_identity,X_16)) )],[refute_0_2242,refute_0_2243]) ).
cnf(refute_0_2245,plain,
multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) = multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(c)),bind(X_16,$fot(multiply(X_85,multiply(b,multiply(c,X_85)))))]]) ).
cnf(refute_0_2246,plain,
multiply(c,multiply(c,X_85)) = multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))),
inference(subst,[],[refute_0_56:[bind(X,$fot(c)),bind(Y,$fot(X_85))]]) ).
cnf(refute_0_2247,plain,
( multiply(c,multiply(c,X_85)) != multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))))
| multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) = multiply(c,multiply(c,X_85)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,multiply(c,X_85)))),bind(Y0,$fot(multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))))))]]) ).
cnf(refute_0_2248,plain,
multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) = multiply(c,multiply(c,X_85)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,X_85)),multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))))) )],[refute_0_2246,refute_0_2247]) ).
cnf(refute_0_2249,plain,
( multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) != multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))
| multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) != multiply(c,multiply(c,X_85))
| multiply(c,multiply(c,X_85)) = multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))),multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) ),[0],$fot(multiply(c,multiply(c,X_85)))]]) ).
cnf(refute_0_2250,plain,
( multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) != multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))
| multiply(c,multiply(c,X_85)) = multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))),multiply(c,multiply(c,X_85))) )],[refute_0_2248,refute_0_2249]) ).
cnf(refute_0_2251,plain,
multiply(c,multiply(c,X_85)) = multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))),multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) )],[refute_0_2245,refute_0_2250]) ).
cnf(refute_0_2252,plain,
multiply(c,multiply(c,X_85)) = multiply(c,X_85),
inference(subst,[],[refute_0_172:[bind(X_15,$fot(c)),bind(X_16,$fot(X_85))]]) ).
cnf(refute_0_2253,plain,
( multiply(c,multiply(c,X_85)) != multiply(c,X_85)
| multiply(c,multiply(c,X_85)) != multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))
| multiply(c,X_85) = multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(c,X_85)),multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) ),[0],$fot(multiply(c,X_85))]]) ).
cnf(refute_0_2254,plain,
( multiply(c,multiply(c,X_85)) != multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))
| multiply(c,X_85) = multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,X_85)),multiply(c,X_85)) )],[refute_0_2252,refute_0_2253]) ).
cnf(refute_0_2255,plain,
multiply(c,multiply(a,Z)) = multiply(multiply(c,a),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(c)),bind(Y,$fot(a))]]) ).
cnf(refute_0_2256,plain,
multiply(c,add(a,multiply(additive_identity,a))) = multiply(c,add(a,multiply(additive_identity,a))),
introduced(tautology,[refl,[$fot(multiply(c,add(a,multiply(additive_identity,a))))]]) ).
cnf(refute_0_2257,plain,
( multiply(c,add(a,multiply(additive_identity,a))) != multiply(c,add(a,multiply(additive_identity,a)))
| add(a,multiply(additive_identity,a)) != a
| multiply(c,add(a,multiply(additive_identity,a))) = multiply(c,a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,multiply(additive_identity,a))),multiply(c,add(a,multiply(additive_identity,a)))) ),[1,1],$fot(a)]]) ).
cnf(refute_0_2258,plain,
( add(a,multiply(additive_identity,a)) != a
| multiply(c,add(a,multiply(additive_identity,a))) = multiply(c,a) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,multiply(additive_identity,a))),multiply(c,add(a,multiply(additive_identity,a)))) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
multiply(c,add(a,multiply(additive_identity,a))) = multiply(c,a),
inference(resolve,[$cnf( $equal(add(a,multiply(additive_identity,a)),a) )],[refute_0_1860,refute_0_2258]) ).
cnf(refute_0_2260,plain,
multiply(c,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) = multiply(c,add(multiply(c,add(a,add(a,b))),X_29)),
inference(subst,[],[refute_0_732:[bind(Z,$fot(multiply(c,add(a,add(a,b)))))]]) ).
cnf(refute_0_2261,plain,
( multiply(b,multiply(c,add(a,add(a,b)))) != multiply(b,add(a,add(a,c)))
| multiply(c,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) != multiply(c,add(multiply(c,add(a,add(a,b))),X_29))
| multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)),multiply(c,add(multiply(c,add(a,add(a,b))),X_29))) ),[0,1,0],$fot(multiply(b,add(a,add(a,c))))]]) ).
cnf(refute_0_2262,plain,
( multiply(c,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)) != multiply(c,add(multiply(c,add(a,add(a,b))),X_29))
| multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,add(a,add(a,c)))) )],[refute_0_1791,refute_0_2261]) ).
cnf(refute_0_2263,plain,
multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(c,add(multiply(c,add(a,add(a,b))),X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,multiply(c,add(a,add(a,b)))),X_29)),multiply(c,add(multiply(c,add(a,add(a,b))),X_29))) )],[refute_0_2260,refute_0_2262]) ).
cnf(refute_0_2264,plain,
add(add(a,c),X_29) = add(a,add(c,X_29)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(c)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_2265,plain,
add(a,add(add(a,c),X_29)) = add(a,add(add(a,c),X_29)),
introduced(tautology,[refl,[$fot(add(a,add(add(a,c),X_29)))]]) ).
cnf(refute_0_2266,plain,
( add(add(a,c),X_29) != add(a,add(c,X_29))
| add(a,add(add(a,c),X_29)) != add(a,add(add(a,c),X_29))
| add(a,add(add(a,c),X_29)) = add(a,add(a,add(c,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(add(a,c),X_29)),add(a,add(add(a,c),X_29))) ),[1,1],$fot(add(a,add(c,X_29)))]]) ).
cnf(refute_0_2267,plain,
( add(add(a,c),X_29) != add(a,add(c,X_29))
| add(a,add(add(a,c),X_29)) = add(a,add(a,add(c,X_29))) ),
inference(resolve,[$cnf( $equal(add(a,add(add(a,c),X_29)),add(a,add(add(a,c),X_29))) )],[refute_0_2265,refute_0_2266]) ).
cnf(refute_0_2268,plain,
add(a,add(add(a,c),X_29)) = add(a,add(a,add(c,X_29))),
inference(resolve,[$cnf( $equal(add(add(a,c),X_29),add(a,add(c,X_29))) )],[refute_0_2264,refute_0_2267]) ).
cnf(refute_0_2269,plain,
add(add(a,add(a,c)),X_29) = add(a,add(add(a,c),X_29)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(add(a,c))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_2270,plain,
( add(add(a,add(a,c)),X_29) != add(a,add(add(a,c),X_29))
| add(a,add(add(a,c),X_29)) != add(a,add(a,add(c,X_29)))
| add(add(a,add(a,c)),X_29) = add(a,add(a,add(c,X_29))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(a,add(a,c)),X_29))),bind(Y0,$fot(add(a,add(add(a,c),X_29)))),bind(Z0,$fot(add(a,add(a,add(c,X_29)))))]]) ).
cnf(refute_0_2271,plain,
( add(a,add(add(a,c),X_29)) != add(a,add(a,add(c,X_29)))
| add(add(a,add(a,c)),X_29) = add(a,add(a,add(c,X_29))) ),
inference(resolve,[$cnf( $equal(add(add(a,add(a,c)),X_29),add(a,add(add(a,c),X_29))) )],[refute_0_2269,refute_0_2270]) ).
cnf(refute_0_2272,plain,
add(add(a,add(a,c)),X_29) = add(a,add(a,add(c,X_29))),
inference(resolve,[$cnf( $equal(add(a,add(add(a,c),X_29)),add(a,add(a,add(c,X_29)))) )],[refute_0_2268,refute_0_2271]) ).
cnf(refute_0_2273,plain,
multiply(c,add(add(a,add(a,c)),X_29)) = multiply(c,add(add(a,add(a,c)),X_29)),
introduced(tautology,[refl,[$fot(multiply(c,add(add(a,add(a,c)),X_29)))]]) ).
cnf(refute_0_2274,plain,
( multiply(c,add(add(a,add(a,c)),X_29)) != multiply(c,add(add(a,add(a,c)),X_29))
| add(add(a,add(a,c)),X_29) != add(a,add(a,add(c,X_29)))
| multiply(c,add(add(a,add(a,c)),X_29)) = multiply(c,add(a,add(a,add(c,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,add(a,c)),X_29)),multiply(c,add(add(a,add(a,c)),X_29))) ),[1,1],$fot(add(a,add(a,add(c,X_29))))]]) ).
cnf(refute_0_2275,plain,
( add(add(a,add(a,c)),X_29) != add(a,add(a,add(c,X_29)))
| multiply(c,add(add(a,add(a,c)),X_29)) = multiply(c,add(a,add(a,add(c,X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,c)),X_29)),multiply(c,add(add(a,add(a,c)),X_29))) )],[refute_0_2273,refute_0_2274]) ).
cnf(refute_0_2276,plain,
multiply(c,add(add(a,add(a,c)),X_29)) = multiply(c,add(a,add(a,add(c,X_29)))),
inference(resolve,[$cnf( $equal(add(add(a,add(a,c)),X_29),add(a,add(a,add(c,X_29)))) )],[refute_0_2272,refute_0_2275]) ).
cnf(refute_0_2277,plain,
multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(c,add(add(a,add(a,c)),X_29)),
inference(subst,[],[refute_0_732:[bind(Z,$fot(add(a,add(a,c))))]]) ).
cnf(refute_0_2278,plain,
( multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(c,add(add(a,add(a,c)),X_29))
| multiply(c,add(add(a,add(a,c)),X_29)) != multiply(c,add(a,add(a,add(c,X_29))))
| multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(c,add(a,add(a,add(c,X_29)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(b,add(a,add(a,c))),X_29)))),bind(Y0,$fot(multiply(c,add(add(a,add(a,c)),X_29)))),bind(Z0,$fot(multiply(c,add(a,add(a,add(c,X_29))))))]]) ).
cnf(refute_0_2279,plain,
( multiply(c,add(add(a,add(a,c)),X_29)) != multiply(c,add(a,add(a,add(c,X_29))))
| multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(c,add(a,add(a,add(c,X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,add(a,add(a,c))),X_29)),multiply(c,add(add(a,add(a,c)),X_29))) )],[refute_0_2277,refute_0_2278]) ).
cnf(refute_0_2280,plain,
multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) = multiply(c,add(a,add(a,add(c,X_29)))),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,c)),X_29)),multiply(c,add(a,add(a,add(c,X_29))))) )],[refute_0_2276,refute_0_2279]) ).
cnf(refute_0_2281,plain,
( multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(c,add(multiply(c,add(a,add(a,b))),X_29))
| multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(c,add(a,add(a,add(c,X_29))))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(b,add(a,add(a,c))),X_29)),multiply(c,add(multiply(c,add(a,add(a,b))),X_29))) ),[0],$fot(multiply(c,add(a,add(a,add(c,X_29)))))]]) ).
cnf(refute_0_2282,plain,
( multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(c,add(multiply(c,add(a,add(a,b))),X_29))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,add(a,add(a,c))),X_29)),multiply(c,add(a,add(a,add(c,X_29))))) )],[refute_0_2280,refute_0_2281]) ).
cnf(refute_0_2283,plain,
add(add(a,b),X_29) = add(a,add(b,X_29)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_2284,plain,
add(a,add(add(a,b),X_29)) = add(a,add(add(a,b),X_29)),
introduced(tautology,[refl,[$fot(add(a,add(add(a,b),X_29)))]]) ).
cnf(refute_0_2285,plain,
( add(add(a,b),X_29) != add(a,add(b,X_29))
| add(a,add(add(a,b),X_29)) != add(a,add(add(a,b),X_29))
| add(a,add(add(a,b),X_29)) = add(a,add(a,add(b,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(a,add(add(a,b),X_29)),add(a,add(add(a,b),X_29))) ),[1,1],$fot(add(a,add(b,X_29)))]]) ).
cnf(refute_0_2286,plain,
( add(add(a,b),X_29) != add(a,add(b,X_29))
| add(a,add(add(a,b),X_29)) = add(a,add(a,add(b,X_29))) ),
inference(resolve,[$cnf( $equal(add(a,add(add(a,b),X_29)),add(a,add(add(a,b),X_29))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
add(a,add(add(a,b),X_29)) = add(a,add(a,add(b,X_29))),
inference(resolve,[$cnf( $equal(add(add(a,b),X_29),add(a,add(b,X_29))) )],[refute_0_2283,refute_0_2286]) ).
cnf(refute_0_2288,plain,
add(add(a,add(a,b)),X_29) = add(a,add(add(a,b),X_29)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(add(a,b))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_2289,plain,
( add(add(a,add(a,b)),X_29) != add(a,add(add(a,b),X_29))
| add(a,add(add(a,b),X_29)) != add(a,add(a,add(b,X_29)))
| add(add(a,add(a,b)),X_29) = add(a,add(a,add(b,X_29))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(a,add(a,b)),X_29))),bind(Y0,$fot(add(a,add(add(a,b),X_29)))),bind(Z0,$fot(add(a,add(a,add(b,X_29)))))]]) ).
cnf(refute_0_2290,plain,
( add(a,add(add(a,b),X_29)) != add(a,add(a,add(b,X_29)))
| add(add(a,add(a,b)),X_29) = add(a,add(a,add(b,X_29))) ),
inference(resolve,[$cnf( $equal(add(add(a,add(a,b)),X_29),add(a,add(add(a,b),X_29))) )],[refute_0_2288,refute_0_2289]) ).
cnf(refute_0_2291,plain,
add(add(a,add(a,b)),X_29) = add(a,add(a,add(b,X_29))),
inference(resolve,[$cnf( $equal(add(a,add(add(a,b),X_29)),add(a,add(a,add(b,X_29)))) )],[refute_0_2287,refute_0_2290]) ).
cnf(refute_0_2292,plain,
multiply(c,add(add(a,add(a,b)),X_29)) = multiply(c,add(add(a,add(a,b)),X_29)),
introduced(tautology,[refl,[$fot(multiply(c,add(add(a,add(a,b)),X_29)))]]) ).
cnf(refute_0_2293,plain,
( multiply(c,add(add(a,add(a,b)),X_29)) != multiply(c,add(add(a,add(a,b)),X_29))
| add(add(a,add(a,b)),X_29) != add(a,add(a,add(b,X_29)))
| multiply(c,add(add(a,add(a,b)),X_29)) = multiply(c,add(a,add(a,add(b,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),X_29)),multiply(c,add(add(a,add(a,b)),X_29))) ),[1,1],$fot(add(a,add(a,add(b,X_29))))]]) ).
cnf(refute_0_2294,plain,
( add(add(a,add(a,b)),X_29) != add(a,add(a,add(b,X_29)))
| multiply(c,add(add(a,add(a,b)),X_29)) = multiply(c,add(a,add(a,add(b,X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),X_29)),multiply(c,add(add(a,add(a,b)),X_29))) )],[refute_0_2292,refute_0_2293]) ).
cnf(refute_0_2295,plain,
multiply(c,add(add(a,add(a,b)),X_29)) = multiply(c,add(a,add(a,add(b,X_29)))),
inference(resolve,[$cnf( $equal(add(add(a,add(a,b)),X_29),add(a,add(a,add(b,X_29)))) )],[refute_0_2291,refute_0_2294]) ).
cnf(refute_0_2296,plain,
multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) = multiply(c,add(add(a,add(a,b)),X_29)),
inference(subst,[],[refute_0_860:[bind(X_16,$fot(add(a,add(a,b)))),bind(X_27,$fot(c))]]) ).
cnf(refute_0_2297,plain,
( multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) != multiply(c,add(add(a,add(a,b)),X_29))
| multiply(c,add(add(a,add(a,b)),X_29)) != multiply(c,add(a,add(a,add(b,X_29))))
| multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) = multiply(c,add(a,add(a,add(b,X_29)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(multiply(c,add(a,add(a,b))),X_29)))),bind(Y0,$fot(multiply(c,add(add(a,add(a,b)),X_29)))),bind(Z0,$fot(multiply(c,add(a,add(a,add(b,X_29))))))]]) ).
cnf(refute_0_2298,plain,
( multiply(c,add(add(a,add(a,b)),X_29)) != multiply(c,add(a,add(a,add(b,X_29))))
| multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) = multiply(c,add(a,add(a,add(b,X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(c,add(a,add(a,b))),X_29)),multiply(c,add(add(a,add(a,b)),X_29))) )],[refute_0_2296,refute_0_2297]) ).
cnf(refute_0_2299,plain,
multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) = multiply(c,add(a,add(a,add(b,X_29)))),
inference(resolve,[$cnf( $equal(multiply(c,add(add(a,add(a,b)),X_29)),multiply(c,add(a,add(a,add(b,X_29))))) )],[refute_0_2295,refute_0_2298]) ).
cnf(refute_0_2300,plain,
( multiply(c,add(multiply(c,add(a,add(a,b))),X_29)) != multiply(c,add(a,add(a,add(b,X_29))))
| multiply(c,add(a,add(a,add(c,X_29)))) != multiply(c,add(multiply(c,add(a,add(a,b))),X_29))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(a,add(a,add(b,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,add(a,add(c,X_29)))),multiply(c,add(multiply(c,add(a,add(a,b))),X_29))) ),[1],$fot(multiply(c,add(a,add(a,add(b,X_29)))))]]) ).
cnf(refute_0_2301,plain,
( multiply(c,add(a,add(a,add(c,X_29)))) != multiply(c,add(multiply(c,add(a,add(a,b))),X_29))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(a,add(a,add(b,X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(c,add(a,add(a,b))),X_29)),multiply(c,add(a,add(a,add(b,X_29))))) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
( multiply(c,add(multiply(b,add(a,add(a,c))),X_29)) != multiply(c,add(multiply(c,add(a,add(a,b))),X_29))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(a,add(a,add(b,X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(c,X_29)))),multiply(c,add(multiply(c,add(a,add(a,b))),X_29))) )],[refute_0_2282,refute_0_2301]) ).
cnf(refute_0_2303,plain,
multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(a,add(a,add(b,X_29)))),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(b,add(a,add(a,c))),X_29)),multiply(c,add(multiply(c,add(a,add(a,b))),X_29))) )],[refute_0_2263,refute_0_2302]) ).
cnf(refute_0_2304,plain,
multiply(c,add(a,add(a,add(b,X_29)))) = multiply(c,add(a,X_29)),
inference(subst,[],[refute_0_1929:[bind(X_16,$fot(X_29))]]) ).
cnf(refute_0_2305,plain,
( multiply(c,add(a,add(a,add(b,X_29)))) != multiply(c,add(a,X_29))
| multiply(c,add(a,add(a,add(c,X_29)))) != multiply(c,add(a,add(a,add(b,X_29))))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(a,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,add(a,add(c,X_29)))),multiply(c,add(a,add(a,add(b,X_29))))) ),[1],$fot(multiply(c,add(a,X_29)))]]) ).
cnf(refute_0_2306,plain,
( multiply(c,add(a,add(a,add(c,X_29)))) != multiply(c,add(a,add(a,add(b,X_29))))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(a,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(b,X_29)))),multiply(c,add(a,X_29))) )],[refute_0_2304,refute_0_2305]) ).
cnf(refute_0_2307,plain,
multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(a,X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(c,X_29)))),multiply(c,add(a,add(a,add(b,X_29))))) )],[refute_0_2303,refute_0_2306]) ).
cnf(refute_0_2308,plain,
multiply(c,add(c,X_29)) = multiply(c,add(b,X_29)),
inference(subst,[],[refute_0_796:[bind(Z,$fot(X_29))]]) ).
cnf(refute_0_2309,plain,
add(additive_identity,X_29) = X_29,
inference(subst,[],[left_additive_identity:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_2310,plain,
add(multiply(additive_identity,a),X_29) = add(multiply(additive_identity,a),X_29),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,a),X_29))]]) ).
cnf(refute_0_2311,plain,
( multiply(additive_identity,a) != additive_identity
| add(multiply(additive_identity,a),X_29) != add(multiply(additive_identity,a),X_29)
| add(multiply(additive_identity,a),X_29) = add(additive_identity,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,a),X_29),add(multiply(additive_identity,a),X_29)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2312,plain,
( multiply(additive_identity,a) != additive_identity
| add(multiply(additive_identity,a),X_29) = add(additive_identity,X_29) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,a),X_29),add(multiply(additive_identity,a),X_29)) )],[refute_0_2310,refute_0_2311]) ).
cnf(refute_0_2313,plain,
add(multiply(additive_identity,a),X_29) = add(additive_identity,X_29),
inference(resolve,[$cnf( $equal(multiply(additive_identity,a),additive_identity) )],[refute_0_1957,refute_0_2312]) ).
cnf(refute_0_2314,plain,
( add(multiply(additive_identity,a),X_29) != add(additive_identity,X_29)
| add(additive_identity,X_29) != X_29
| add(multiply(additive_identity,a),X_29) = X_29 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,a),X_29))),bind(Y0,$fot(add(additive_identity,X_29))),bind(Z0,$fot(X_29))]]) ).
cnf(refute_0_2315,plain,
( add(additive_identity,X_29) != X_29
| add(multiply(additive_identity,a),X_29) = X_29 ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,a),X_29),add(additive_identity,X_29)) )],[refute_0_2313,refute_0_2314]) ).
cnf(refute_0_2316,plain,
add(multiply(additive_identity,a),X_29) = X_29,
inference(resolve,[$cnf( $equal(add(additive_identity,X_29),X_29) )],[refute_0_2309,refute_0_2315]) ).
cnf(refute_0_2317,plain,
multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,add(multiply(additive_identity,a),X_29)),
introduced(tautology,[refl,[$fot(multiply(c,add(multiply(additive_identity,a),X_29)))]]) ).
cnf(refute_0_2318,plain,
( multiply(c,add(multiply(additive_identity,a),X_29)) != multiply(c,add(multiply(additive_identity,a),X_29))
| add(multiply(additive_identity,a),X_29) != X_29
| multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(additive_identity,a),X_29)),multiply(c,add(multiply(additive_identity,a),X_29))) ),[1,1],$fot(X_29)]]) ).
cnf(refute_0_2319,plain,
( add(multiply(additive_identity,a),X_29) != X_29
| multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,X_29) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(additive_identity,a),X_29)),multiply(c,add(multiply(additive_identity,a),X_29))) )],[refute_0_2317,refute_0_2318]) ).
cnf(refute_0_2320,plain,
multiply(c,add(multiply(additive_identity,a),X_29)) = multiply(c,X_29),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,a),X_29),X_29) )],[refute_0_2316,refute_0_2319]) ).
cnf(refute_0_2321,plain,
( multiply(c,add(multiply(additive_identity,a),X_29)) != multiply(c,X_29)
| multiply(c,add(multiply(additive_identity,a),X_29)) != multiply(c,add(a,add(a,X_29)))
| multiply(c,X_29) = multiply(c,add(a,add(a,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(multiply(additive_identity,a),X_29)),multiply(c,add(a,add(a,X_29)))) ),[0],$fot(multiply(c,X_29))]]) ).
cnf(refute_0_2322,plain,
( multiply(c,add(multiply(additive_identity,a),X_29)) != multiply(c,add(a,add(a,X_29)))
| multiply(c,X_29) = multiply(c,add(a,add(a,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(additive_identity,a),X_29)),multiply(c,X_29)) )],[refute_0_2320,refute_0_2321]) ).
cnf(refute_0_2323,plain,
multiply(c,X_29) = multiply(c,add(a,add(a,X_29))),
inference(resolve,[$cnf( $equal(multiply(c,add(multiply(additive_identity,a),X_29)),multiply(c,add(a,add(a,X_29)))) )],[refute_0_1704,refute_0_2322]) ).
cnf(refute_0_2324,plain,
( multiply(c,X_29) != multiply(c,add(a,add(a,X_29)))
| multiply(c,add(a,add(a,X_29))) = multiply(c,X_29) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,X_29))),bind(Y0,$fot(multiply(c,add(a,add(a,X_29)))))]]) ).
cnf(refute_0_2325,plain,
multiply(c,add(a,add(a,X_29))) = multiply(c,X_29),
inference(resolve,[$cnf( $equal(multiply(c,X_29),multiply(c,add(a,add(a,X_29)))) )],[refute_0_2323,refute_0_2324]) ).
cnf(refute_0_2326,plain,
multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(c,X_29)),
inference(subst,[],[refute_0_2325:[bind(X_29,$fot(add(c,X_29)))]]) ).
cnf(refute_0_2327,plain,
( multiply(c,add(a,add(a,add(c,X_29)))) != multiply(c,add(c,X_29))
| multiply(c,add(c,X_29)) != multiply(c,add(b,X_29))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(b,X_29)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(a,add(a,add(c,X_29)))))),bind(Y0,$fot(multiply(c,add(c,X_29)))),bind(Z0,$fot(multiply(c,add(b,X_29))))]]) ).
cnf(refute_0_2328,plain,
( multiply(c,add(c,X_29)) != multiply(c,add(b,X_29))
| multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(b,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(c,X_29)))),multiply(c,add(c,X_29))) )],[refute_0_2326,refute_0_2327]) ).
cnf(refute_0_2329,plain,
multiply(c,add(a,add(a,add(c,X_29)))) = multiply(c,add(b,X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(c,X_29)),multiply(c,add(b,X_29))) )],[refute_0_2308,refute_0_2328]) ).
cnf(refute_0_2330,plain,
( multiply(c,add(a,add(a,add(c,X_29)))) != multiply(c,add(a,X_29))
| multiply(c,add(a,add(a,add(c,X_29)))) != multiply(c,add(b,X_29))
| multiply(c,add(b,X_29)) = multiply(c,add(a,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,add(a,add(c,X_29)))),multiply(c,add(a,X_29))) ),[0],$fot(multiply(c,add(b,X_29)))]]) ).
cnf(refute_0_2331,plain,
( multiply(c,add(a,add(a,add(c,X_29)))) != multiply(c,add(a,X_29))
| multiply(c,add(b,X_29)) = multiply(c,add(a,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(c,X_29)))),multiply(c,add(b,X_29))) )],[refute_0_2329,refute_0_2330]) ).
cnf(refute_0_2332,plain,
multiply(c,add(b,X_29)) = multiply(c,add(a,X_29)),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,add(c,X_29)))),multiply(c,add(a,X_29))) )],[refute_0_2307,refute_0_2331]) ).
cnf(refute_0_2333,plain,
multiply(c,add(b,multiply(additive_identity,a))) = multiply(c,add(a,multiply(additive_identity,a))),
inference(subst,[],[refute_0_2332:[bind(X_29,$fot(multiply(additive_identity,a)))]]) ).
cnf(refute_0_2334,plain,
( multiply(c,add(a,multiply(additive_identity,a))) != multiply(c,a)
| multiply(c,add(b,multiply(additive_identity,a))) != multiply(c,add(a,multiply(additive_identity,a)))
| multiply(c,add(b,multiply(additive_identity,a))) = multiply(c,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,add(b,multiply(additive_identity,a))))),bind(Y0,$fot(multiply(c,add(a,multiply(additive_identity,a))))),bind(Z0,$fot(multiply(c,a)))]]) ).
cnf(refute_0_2335,plain,
( multiply(c,add(a,multiply(additive_identity,a))) != multiply(c,a)
| multiply(c,add(b,multiply(additive_identity,a))) = multiply(c,a) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,add(a,multiply(additive_identity,a)))) )],[refute_0_2333,refute_0_2334]) ).
cnf(refute_0_2336,plain,
multiply(c,add(b,multiply(additive_identity,a))) = multiply(c,a),
inference(resolve,[$cnf( $equal(multiply(c,add(a,multiply(additive_identity,a))),multiply(c,a)) )],[refute_0_2259,refute_0_2335]) ).
cnf(refute_0_2337,plain,
( multiply(c,add(b,multiply(additive_identity,a))) != multiply(c,a)
| multiply(c,add(b,multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(c,a) = add(c,multiply(additive_identity,a)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(b,multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) ),[0],$fot(multiply(c,a))]]) ).
cnf(refute_0_2338,plain,
( multiply(c,add(b,multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(c,a) = add(c,multiply(additive_identity,a)) ),
inference(resolve,[$cnf( $equal(multiply(c,add(b,multiply(additive_identity,a))),multiply(c,a)) )],[refute_0_2336,refute_0_2337]) ).
cnf(refute_0_2339,plain,
add(c,multiply(additive_identity,a)) = add(c,multiply(additive_identity,a)),
introduced(tautology,[refl,[$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_2340,plain,
( multiply(additive_identity,a) != additive_identity
| add(c,multiply(additive_identity,a)) != add(c,multiply(additive_identity,a))
| add(c,multiply(additive_identity,a)) = add(c,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,multiply(additive_identity,a)),add(c,multiply(additive_identity,a))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2341,plain,
( multiply(additive_identity,a) != additive_identity
| add(c,multiply(additive_identity,a)) = add(c,additive_identity) ),
inference(resolve,[$cnf( $equal(add(c,multiply(additive_identity,a)),add(c,multiply(additive_identity,a))) )],[refute_0_2339,refute_0_2340]) ).
cnf(refute_0_2342,plain,
add(c,multiply(additive_identity,a)) = add(c,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,a),additive_identity) )],[refute_0_1957,refute_0_2341]) ).
cnf(refute_0_2343,plain,
( add(c,multiply(additive_identity,a)) != add(c,additive_identity)
| add(c,additive_identity) != c
| add(c,multiply(additive_identity,a)) = c ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(additive_identity,a)))),bind(Y0,$fot(add(c,additive_identity))),bind(Z0,$fot(c))]]) ).
cnf(refute_0_2344,plain,
( add(c,additive_identity) != c
| add(c,multiply(additive_identity,a)) = c ),
inference(resolve,[$cnf( $equal(add(c,multiply(additive_identity,a)),add(c,additive_identity)) )],[refute_0_2342,refute_0_2343]) ).
cnf(refute_0_2345,plain,
add(c,multiply(additive_identity,a)) = c,
inference(resolve,[$cnf( $equal(add(c,additive_identity),c) )],[refute_0_261,refute_0_2344]) ).
cnf(refute_0_2346,plain,
( multiply(c,a) != add(c,multiply(additive_identity,a))
| add(c,multiply(additive_identity,a)) != c
| multiply(c,a) = c ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,a),c) ),[0],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_2347,plain,
( multiply(c,a) != add(c,multiply(additive_identity,a))
| multiply(c,a) = c ),
inference(resolve,[$cnf( $equal(add(c,multiply(additive_identity,a)),c) )],[refute_0_2345,refute_0_2346]) ).
cnf(refute_0_2348,plain,
( multiply(c,add(b,multiply(additive_identity,a))) != add(c,multiply(additive_identity,a))
| multiply(c,a) = c ),
inference(resolve,[$cnf( $equal(multiply(c,a),add(c,multiply(additive_identity,a))) )],[refute_0_2338,refute_0_2347]) ).
cnf(refute_0_2349,plain,
multiply(c,a) = c,
inference(resolve,[$cnf( $equal(multiply(c,add(b,multiply(additive_identity,a))),add(c,multiply(additive_identity,a))) )],[refute_0_1625,refute_0_2348]) ).
cnf(refute_0_2350,plain,
( multiply(c,multiply(a,Z)) != multiply(multiply(c,a),Z)
| multiply(c,a) != c
| multiply(c,multiply(a,Z)) = multiply(c,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(a,Z)),multiply(multiply(c,a),Z)) ),[1,0],$fot(c)]]) ).
cnf(refute_0_2351,plain,
( multiply(c,multiply(a,Z)) != multiply(multiply(c,a),Z)
| multiply(c,multiply(a,Z)) = multiply(c,Z) ),
inference(resolve,[$cnf( $equal(multiply(c,a),c) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
multiply(c,multiply(a,Z)) = multiply(c,Z),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,Z)),multiply(multiply(c,a),Z)) )],[refute_0_2255,refute_0_2351]) ).
cnf(refute_0_2353,plain,
multiply(b,multiply(c,multiply(a,Z))) = multiply(b,multiply(c,multiply(a,Z))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(c,multiply(a,Z))))]]) ).
cnf(refute_0_2354,plain,
( multiply(b,multiply(c,multiply(a,Z))) != multiply(b,multiply(c,multiply(a,Z)))
| multiply(c,multiply(a,Z)) != multiply(c,Z)
| multiply(b,multiply(c,multiply(a,Z))) = multiply(b,multiply(c,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,multiply(a,Z))),multiply(b,multiply(c,multiply(a,Z)))) ),[1,1],$fot(multiply(c,Z))]]) ).
cnf(refute_0_2355,plain,
( multiply(c,multiply(a,Z)) != multiply(c,Z)
| multiply(b,multiply(c,multiply(a,Z))) = multiply(b,multiply(c,Z)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,multiply(a,Z))),multiply(b,multiply(c,multiply(a,Z)))) )],[refute_0_2353,refute_0_2354]) ).
cnf(refute_0_2356,plain,
multiply(b,multiply(c,multiply(a,Z))) = multiply(b,multiply(c,Z)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,Z)),multiply(c,Z)) )],[refute_0_2352,refute_0_2355]) ).
cnf(refute_0_2357,plain,
( multiply(b,multiply(c,multiply(a,Z))) != multiply(b,multiply(a,Z))
| multiply(b,multiply(c,multiply(a,Z))) != multiply(b,multiply(c,Z))
| multiply(b,multiply(c,Z)) = multiply(b,multiply(a,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,multiply(a,Z))),multiply(b,multiply(a,Z))) ),[0],$fot(multiply(b,multiply(c,Z)))]]) ).
cnf(refute_0_2358,plain,
( multiply(b,multiply(c,multiply(a,Z))) != multiply(b,multiply(a,Z))
| multiply(b,multiply(c,Z)) = multiply(b,multiply(a,Z)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,multiply(a,Z))),multiply(b,multiply(c,Z))) )],[refute_0_2356,refute_0_2357]) ).
cnf(refute_0_2359,plain,
multiply(b,multiply(c,Z)) = multiply(b,multiply(a,Z)),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,multiply(a,Z))),multiply(b,multiply(a,Z))) )],[refute_0_1085,refute_0_2358]) ).
cnf(refute_0_2360,plain,
multiply(b,multiply(c,X_85)) = multiply(b,multiply(a,X_85)),
inference(subst,[],[refute_0_2359:[bind(Z,$fot(X_85))]]) ).
cnf(refute_0_2361,plain,
multiply(X_85,multiply(b,multiply(c,X_85))) = multiply(X_85,multiply(b,multiply(c,X_85))),
introduced(tautology,[refl,[$fot(multiply(X_85,multiply(b,multiply(c,X_85))))]]) ).
cnf(refute_0_2362,plain,
( multiply(X_85,multiply(b,multiply(c,X_85))) != multiply(X_85,multiply(b,multiply(c,X_85)))
| multiply(b,multiply(c,X_85)) != multiply(b,multiply(a,X_85))
| multiply(X_85,multiply(b,multiply(c,X_85))) = multiply(X_85,multiply(b,multiply(a,X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_85,multiply(b,multiply(c,X_85))),multiply(X_85,multiply(b,multiply(c,X_85)))) ),[1,1],$fot(multiply(b,multiply(a,X_85)))]]) ).
cnf(refute_0_2363,plain,
( multiply(b,multiply(c,X_85)) != multiply(b,multiply(a,X_85))
| multiply(X_85,multiply(b,multiply(c,X_85))) = multiply(X_85,multiply(b,multiply(a,X_85))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,multiply(b,multiply(c,X_85))),multiply(X_85,multiply(b,multiply(c,X_85)))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
multiply(X_85,multiply(b,multiply(c,X_85))) = multiply(X_85,multiply(b,multiply(a,X_85))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,X_85)),multiply(b,multiply(a,X_85))) )],[refute_0_2360,refute_0_2363]) ).
cnf(refute_0_2365,plain,
multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) = multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))),
introduced(tautology,[refl,[$fot(multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))))]]) ).
cnf(refute_0_2366,plain,
( multiply(X_85,multiply(b,multiply(c,X_85))) != multiply(X_85,multiply(b,multiply(a,X_85)))
| multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) != multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))
| multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) = multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))),multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) ),[1,1],$fot(multiply(X_85,multiply(b,multiply(a,X_85))))]]) ).
cnf(refute_0_2367,plain,
( multiply(X_85,multiply(b,multiply(c,X_85))) != multiply(X_85,multiply(b,multiply(a,X_85)))
| multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) = multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))),multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) )],[refute_0_2365,refute_0_2366]) ).
cnf(refute_0_2368,plain,
multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) = multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))),
inference(resolve,[$cnf( $equal(multiply(X_85,multiply(b,multiply(c,X_85))),multiply(X_85,multiply(b,multiply(a,X_85)))) )],[refute_0_2364,refute_0_2367]) ).
cnf(refute_0_2369,plain,
( multiply(c,X_85) != multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))
| multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))) != multiply(c,multiply(X_85,multiply(b,multiply(a,X_85))))
| multiply(c,X_85) = multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(c,X_85),multiply(c,multiply(X_85,multiply(b,multiply(a,X_85))))) ),[0],$fot(multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))))]]) ).
cnf(refute_0_2370,plain,
( multiply(c,X_85) != multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))
| multiply(c,X_85) = multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(X_85,multiply(b,multiply(c,X_85)))),multiply(c,multiply(X_85,multiply(b,multiply(a,X_85))))) )],[refute_0_2368,refute_0_2369]) ).
cnf(refute_0_2371,plain,
( multiply(c,multiply(c,X_85)) != multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))
| multiply(c,X_85) = multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))) ),
inference(resolve,[$cnf( $equal(multiply(c,X_85),multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) )],[refute_0_2254,refute_0_2370]) ).
cnf(refute_0_2372,plain,
multiply(c,X_85) = multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))),
inference(resolve,[$cnf( $equal(multiply(c,multiply(c,X_85)),multiply(c,multiply(X_85,multiply(b,multiply(c,X_85))))) )],[refute_0_2251,refute_0_2371]) ).
cnf(refute_0_2373,plain,
( multiply(c,X_85) != multiply(c,multiply(X_85,multiply(b,multiply(a,X_85))))
| multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))) = multiply(c,X_85) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(c,X_85))),bind(Y0,$fot(multiply(c,multiply(X_85,multiply(b,multiply(a,X_85))))))]]) ).
cnf(refute_0_2374,plain,
multiply(c,multiply(X_85,multiply(b,multiply(a,X_85)))) = multiply(c,X_85),
inference(resolve,[$cnf( $equal(multiply(c,X_85),multiply(c,multiply(X_85,multiply(b,multiply(a,X_85))))) )],[refute_0_2372,refute_0_2373]) ).
cnf(refute_0_2375,plain,
multiply(c,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))) = multiply(c,multiply(add(b,X_16),X_16)),
inference(subst,[],[refute_0_2374:[bind(X_85,$fot(multiply(add(b,X_16),X_16)))]]) ).
cnf(refute_0_2376,plain,
multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) = multiply(c,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))),
inference(subst,[],[refute_0_2352:[bind(Z,$fot(multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))]]) ).
cnf(refute_0_2377,plain,
( multiply(c,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))) != multiply(c,multiply(add(b,X_16),X_16))
| multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) != multiply(c,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))
| multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) = multiply(c,multiply(add(b,X_16),X_16)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))))),bind(Y0,$fot(multiply(c,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))),bind(Z0,$fot(multiply(c,multiply(add(b,X_16),X_16))))]]) ).
cnf(refute_0_2378,plain,
( multiply(c,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))) != multiply(c,multiply(add(b,X_16),X_16))
| multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) = multiply(c,multiply(add(b,X_16),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))),multiply(c,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) )],[refute_0_2376,refute_0_2377]) ).
cnf(refute_0_2379,plain,
multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) = multiply(c,multiply(add(b,X_16),X_16)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))),multiply(c,multiply(add(b,X_16),X_16))) )],[refute_0_2375,refute_0_2378]) ).
cnf(refute_0_2380,plain,
( multiply(additive_identity,X_16) != multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))
| multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))) != multiply(c,multiply(add(b,X_16),X_16))
| multiply(additive_identity,X_16) = multiply(c,multiply(add(b,X_16),X_16)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_identity,X_16),multiply(c,multiply(add(b,X_16),X_16))) ),[0],$fot(multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))))]]) ).
cnf(refute_0_2381,plain,
( multiply(additive_identity,X_16) != multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))
| multiply(additive_identity,X_16) = multiply(c,multiply(add(b,X_16),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16)))))),multiply(c,multiply(add(b,X_16),X_16))) )],[refute_0_2379,refute_0_2380]) ).
cnf(refute_0_2382,plain,
( multiply(c,multiply(add(a,c),X_16)) != multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))
| multiply(additive_identity,X_16) = multiply(c,multiply(add(b,X_16),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_16),multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))) )],[refute_0_2244,refute_0_2381]) ).
cnf(refute_0_2383,plain,
multiply(additive_identity,X_16) = multiply(c,multiply(add(b,X_16),X_16)),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(a,c),X_16)),multiply(c,multiply(a,multiply(multiply(add(b,X_16),X_16),multiply(b,multiply(a,multiply(add(b,X_16),X_16))))))) )],[refute_0_81,refute_0_2382]) ).
cnf(refute_0_2384,plain,
multiply(additive_identity,c) = multiply(c,multiply(add(b,c),c)),
inference(subst,[],[refute_0_2383:[bind(X_16,$fot(c))]]) ).
cnf(refute_0_2385,plain,
( multiply(additive_identity,c) != multiply(c,multiply(add(b,c),c))
| multiply(c,multiply(add(b,c),c)) = multiply(additive_identity,c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(additive_identity,c))),bind(Y0,$fot(multiply(c,multiply(add(b,c),c))))]]) ).
cnf(refute_0_2386,plain,
multiply(c,multiply(add(b,c),c)) = multiply(additive_identity,c),
inference(resolve,[$cnf( $equal(multiply(additive_identity,c),multiply(c,multiply(add(b,c),c))) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
( multiply(add(b,c),multiply(c,multiply(add(b,c),c))) != multiply(add(b,c),c)
| multiply(c,multiply(add(b,c),c)) != multiply(additive_identity,c)
| multiply(add(b,c),multiply(additive_identity,c)) = multiply(add(b,c),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(b,c),multiply(c,multiply(add(b,c),c))),multiply(add(b,c),c)) ),[0,1],$fot(multiply(additive_identity,c))]]) ).
cnf(refute_0_2388,plain,
( multiply(add(b,c),multiply(c,multiply(add(b,c),c))) != multiply(add(b,c),c)
| multiply(add(b,c),multiply(additive_identity,c)) = multiply(add(b,c),c) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(add(b,c),c)),multiply(additive_identity,c)) )],[refute_0_2386,refute_0_2387]) ).
cnf(refute_0_2389,plain,
multiply(add(b,c),multiply(additive_identity,c)) = multiply(add(b,c),c),
inference(resolve,[$cnf( $equal(multiply(add(b,c),multiply(c,multiply(add(b,c),c))),multiply(add(b,c),c)) )],[refute_0_22,refute_0_2388]) ).
cnf(refute_0_2390,plain,
multiply(b,multiply(additive_identity,c)) = multiply(b,multiply(additive_identity,c)),
introduced(tautology,[refl,[$fot(multiply(b,multiply(additive_identity,c)))]]) ).
cnf(refute_0_2391,plain,
( multiply(additive_identity,c) != additive_identity
| multiply(b,multiply(additive_identity,c)) != multiply(b,multiply(additive_identity,c))
| multiply(b,multiply(additive_identity,c)) = multiply(b,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(additive_identity,c)),multiply(b,multiply(additive_identity,c))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2392,plain,
( multiply(additive_identity,c) != additive_identity
| multiply(b,multiply(additive_identity,c)) = multiply(b,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(additive_identity,c)),multiply(b,multiply(additive_identity,c))) )],[refute_0_2390,refute_0_2391]) ).
cnf(refute_0_2393,plain,
multiply(b,multiply(additive_identity,c)) = multiply(b,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,c),additive_identity) )],[refute_0_1331,refute_0_2392]) ).
cnf(refute_0_2394,plain,
multiply(add(X_57,c),multiply(additive_identity,Z)) = multiply(multiply(add(X_57,c),additive_identity),Z),
inference(subst,[],[associativity_for_multiplication:[bind(X,$fot(add(X_57,c))),bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_2395,plain,
multiply(add(X_49,c),additive_identity) = add(multiply(X_49,additive_identity),multiply(c,additive_identity)),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(c)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_2396,plain,
( multiply(add(X_49,c),additive_identity) != add(multiply(X_49,additive_identity),multiply(c,additive_identity))
| multiply(c,additive_identity) != additive_identity
| multiply(add(X_49,c),additive_identity) = add(multiply(X_49,additive_identity),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,c),additive_identity),add(multiply(X_49,additive_identity),multiply(c,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2397,plain,
( multiply(add(X_49,c),additive_identity) != add(multiply(X_49,additive_identity),multiply(c,additive_identity))
| multiply(add(X_49,c),additive_identity) = add(multiply(X_49,additive_identity),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(c,additive_identity),additive_identity) )],[refute_0_1060,refute_0_2396]) ).
cnf(refute_0_2398,plain,
multiply(add(X_49,c),additive_identity) = add(multiply(X_49,additive_identity),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(X_49,c),additive_identity),add(multiply(X_49,additive_identity),multiply(c,additive_identity))) )],[refute_0_2395,refute_0_2397]) ).
cnf(refute_0_2399,plain,
add(additive_identity,multiply(X_49,additive_identity)) = multiply(X_49,additive_identity),
inference(subst,[],[left_additive_identity:[bind(X,$fot(multiply(X_49,additive_identity)))]]) ).
cnf(refute_0_2400,plain,
add(multiply(X_49,additive_identity),additive_identity) = add(additive_identity,multiply(X_49,additive_identity)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(multiply(X_49,additive_identity)))]]) ).
cnf(refute_0_2401,plain,
( add(multiply(X_49,additive_identity),additive_identity) != add(additive_identity,multiply(X_49,additive_identity))
| add(additive_identity,multiply(X_49,additive_identity)) != multiply(X_49,additive_identity)
| add(multiply(X_49,additive_identity),additive_identity) = multiply(X_49,additive_identity) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_49,additive_identity),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(X_49,additive_identity)))),bind(Z0,$fot(multiply(X_49,additive_identity)))]]) ).
cnf(refute_0_2402,plain,
( add(additive_identity,multiply(X_49,additive_identity)) != multiply(X_49,additive_identity)
| add(multiply(X_49,additive_identity),additive_identity) = multiply(X_49,additive_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,additive_identity),additive_identity),add(additive_identity,multiply(X_49,additive_identity))) )],[refute_0_2400,refute_0_2401]) ).
cnf(refute_0_2403,plain,
add(multiply(X_49,additive_identity),additive_identity) = multiply(X_49,additive_identity),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) )],[refute_0_2399,refute_0_2402]) ).
cnf(refute_0_2404,plain,
( multiply(add(X_49,c),additive_identity) != add(multiply(X_49,additive_identity),additive_identity)
| add(multiply(X_49,additive_identity),additive_identity) != multiply(X_49,additive_identity)
| multiply(add(X_49,c),additive_identity) = multiply(X_49,additive_identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,c),additive_identity),multiply(X_49,additive_identity)) ),[0],$fot(add(multiply(X_49,additive_identity),additive_identity))]]) ).
cnf(refute_0_2405,plain,
( multiply(add(X_49,c),additive_identity) != add(multiply(X_49,additive_identity),additive_identity)
| multiply(add(X_49,c),additive_identity) = multiply(X_49,additive_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,additive_identity),additive_identity),multiply(X_49,additive_identity)) )],[refute_0_2403,refute_0_2404]) ).
cnf(refute_0_2406,plain,
multiply(add(X_49,c),additive_identity) = multiply(X_49,additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(X_49,c),additive_identity),add(multiply(X_49,additive_identity),additive_identity)) )],[refute_0_2398,refute_0_2405]) ).
cnf(refute_0_2407,plain,
multiply(add(X_57,c),additive_identity) = multiply(X_57,additive_identity),
inference(subst,[],[refute_0_2406:[bind(X_49,$fot(X_57))]]) ).
cnf(refute_0_2408,plain,
( multiply(add(X_57,c),multiply(additive_identity,Z)) != multiply(multiply(add(X_57,c),additive_identity),Z)
| multiply(add(X_57,c),additive_identity) != multiply(X_57,additive_identity)
| multiply(add(X_57,c),multiply(additive_identity,Z)) = multiply(multiply(X_57,additive_identity),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_57,c),multiply(additive_identity,Z)),multiply(multiply(add(X_57,c),additive_identity),Z)) ),[1,0],$fot(multiply(X_57,additive_identity))]]) ).
cnf(refute_0_2409,plain,
( multiply(add(X_57,c),multiply(additive_identity,Z)) != multiply(multiply(add(X_57,c),additive_identity),Z)
| multiply(add(X_57,c),multiply(additive_identity,Z)) = multiply(multiply(X_57,additive_identity),Z) ),
inference(resolve,[$cnf( $equal(multiply(add(X_57,c),additive_identity),multiply(X_57,additive_identity)) )],[refute_0_2407,refute_0_2408]) ).
cnf(refute_0_2410,plain,
multiply(add(X_57,c),multiply(additive_identity,Z)) = multiply(multiply(X_57,additive_identity),Z),
inference(resolve,[$cnf( $equal(multiply(add(X_57,c),multiply(additive_identity,Z)),multiply(multiply(add(X_57,c),additive_identity),Z)) )],[refute_0_2394,refute_0_2409]) ).
cnf(refute_0_2411,plain,
multiply(multiply(X_57,additive_identity),Z) = multiply(X_57,multiply(additive_identity,Z)),
inference(subst,[],[refute_0_891:[bind(X,$fot(X_57)),bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_2412,plain,
( multiply(multiply(X_57,additive_identity),Z) != multiply(X_57,multiply(additive_identity,Z))
| multiply(add(X_57,c),multiply(additive_identity,Z)) != multiply(multiply(X_57,additive_identity),Z)
| multiply(add(X_57,c),multiply(additive_identity,Z)) = multiply(X_57,multiply(additive_identity,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_57,c),multiply(additive_identity,Z)),multiply(multiply(X_57,additive_identity),Z)) ),[1],$fot(multiply(X_57,multiply(additive_identity,Z)))]]) ).
cnf(refute_0_2413,plain,
( multiply(add(X_57,c),multiply(additive_identity,Z)) != multiply(multiply(X_57,additive_identity),Z)
| multiply(add(X_57,c),multiply(additive_identity,Z)) = multiply(X_57,multiply(additive_identity,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_57,additive_identity),Z),multiply(X_57,multiply(additive_identity,Z))) )],[refute_0_2411,refute_0_2412]) ).
cnf(refute_0_2414,plain,
multiply(add(X_57,c),multiply(additive_identity,Z)) = multiply(X_57,multiply(additive_identity,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_57,c),multiply(additive_identity,Z)),multiply(multiply(X_57,additive_identity),Z)) )],[refute_0_2410,refute_0_2413]) ).
cnf(refute_0_2415,plain,
multiply(add(b,c),multiply(additive_identity,c)) = multiply(b,multiply(additive_identity,c)),
inference(subst,[],[refute_0_2414:[bind(Z,$fot(c)),bind(X_57,$fot(b))]]) ).
cnf(refute_0_2416,plain,
( multiply(add(b,c),multiply(additive_identity,c)) != multiply(b,multiply(additive_identity,c))
| multiply(b,multiply(additive_identity,c)) != multiply(b,additive_identity)
| multiply(add(b,c),multiply(additive_identity,c)) = multiply(b,additive_identity) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(b,c),multiply(additive_identity,c)))),bind(Y0,$fot(multiply(b,multiply(additive_identity,c)))),bind(Z0,$fot(multiply(b,additive_identity)))]]) ).
cnf(refute_0_2417,plain,
( multiply(b,multiply(additive_identity,c)) != multiply(b,additive_identity)
| multiply(add(b,c),multiply(additive_identity,c)) = multiply(b,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(b,c),multiply(additive_identity,c)),multiply(b,multiply(additive_identity,c))) )],[refute_0_2415,refute_0_2416]) ).
cnf(refute_0_2418,plain,
multiply(add(b,c),multiply(additive_identity,c)) = multiply(b,additive_identity),
inference(resolve,[$cnf( $equal(multiply(b,multiply(additive_identity,c)),multiply(b,additive_identity)) )],[refute_0_2393,refute_0_2417]) ).
cnf(refute_0_2419,plain,
( multiply(add(b,c),multiply(additive_identity,c)) != multiply(add(b,c),c)
| multiply(add(b,c),multiply(additive_identity,c)) != multiply(b,additive_identity)
| multiply(b,additive_identity) = multiply(add(b,c),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(b,c),multiply(additive_identity,c)),multiply(add(b,c),c)) ),[0],$fot(multiply(b,additive_identity))]]) ).
cnf(refute_0_2420,plain,
( multiply(add(b,c),multiply(additive_identity,c)) != multiply(add(b,c),c)
| multiply(b,additive_identity) = multiply(add(b,c),c) ),
inference(resolve,[$cnf( $equal(multiply(add(b,c),multiply(additive_identity,c)),multiply(b,additive_identity)) )],[refute_0_2418,refute_0_2419]) ).
cnf(refute_0_2421,plain,
multiply(add(X_49,a),c) = add(multiply(X_49,c),multiply(a,c)),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(a)),bind(Z,$fot(c))]]) ).
cnf(refute_0_2422,plain,
( multiply(add(X_49,a),c) != add(multiply(X_49,c),multiply(a,c))
| multiply(a,c) != c
| multiply(add(X_49,a),c) = add(multiply(X_49,c),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,a),c),add(multiply(X_49,c),multiply(a,c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2423,plain,
( multiply(add(X_49,a),c) != add(multiply(X_49,c),multiply(a,c))
| multiply(add(X_49,a),c) = add(multiply(X_49,c),c) ),
inference(resolve,[$cnf( $equal(multiply(a,c),c) )],[refute_0_179,refute_0_2422]) ).
cnf(refute_0_2424,plain,
multiply(add(X_49,a),c) = add(multiply(X_49,c),c),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),c),add(multiply(X_49,c),multiply(a,c))) )],[refute_0_2421,refute_0_2423]) ).
cnf(refute_0_2425,plain,
add(multiply(X_49,c),c) = add(c,multiply(X_49,c)),
inference(subst,[],[refute_0_9:[bind(X,$fot(c)),bind(Y,$fot(multiply(X_49,c)))]]) ).
cnf(refute_0_2426,plain,
( multiply(add(X_49,a),c) != add(multiply(X_49,c),c)
| add(multiply(X_49,c),c) != add(c,multiply(X_49,c))
| multiply(add(X_49,a),c) = add(c,multiply(X_49,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,a),c),add(c,multiply(X_49,c))) ),[0],$fot(add(multiply(X_49,c),c))]]) ).
cnf(refute_0_2427,plain,
( multiply(add(X_49,a),c) != add(multiply(X_49,c),c)
| multiply(add(X_49,a),c) = add(c,multiply(X_49,c)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_49,c),c),add(c,multiply(X_49,c))) )],[refute_0_2425,refute_0_2426]) ).
cnf(refute_0_2428,plain,
multiply(add(X_49,a),c) = add(c,multiply(X_49,c)),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),c),add(multiply(X_49,c),c)) )],[refute_0_2424,refute_0_2427]) ).
cnf(refute_0_2429,plain,
add(c,multiply(X_49,c)) = multiply(add(X_49,c),c),
inference(subst,[],[refute_0_70:[bind(X_51,$fot(c))]]) ).
cnf(refute_0_2430,plain,
( multiply(add(X_49,a),c) != add(c,multiply(X_49,c))
| add(c,multiply(X_49,c)) != multiply(add(X_49,c),c)
| multiply(add(X_49,a),c) = multiply(add(X_49,c),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,a),c),multiply(add(X_49,c),c)) ),[0],$fot(add(c,multiply(X_49,c)))]]) ).
cnf(refute_0_2431,plain,
( multiply(add(X_49,a),c) != add(c,multiply(X_49,c))
| multiply(add(X_49,a),c) = multiply(add(X_49,c),c) ),
inference(resolve,[$cnf( $equal(add(c,multiply(X_49,c)),multiply(add(X_49,c),c)) )],[refute_0_2429,refute_0_2430]) ).
cnf(refute_0_2432,plain,
multiply(add(X_49,a),c) = multiply(add(X_49,c),c),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),c),add(c,multiply(X_49,c))) )],[refute_0_2428,refute_0_2431]) ).
cnf(refute_0_2433,plain,
multiply(add(X_72,a),c) = multiply(add(X_72,c),c),
inference(subst,[],[refute_0_2432:[bind(X_49,$fot(X_72))]]) ).
cnf(refute_0_2434,plain,
add(a,X_72) = add(X_72,a),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(a)),bind(Y,$fot(X_72))]]) ).
cnf(refute_0_2435,plain,
( add(a,X_72) != add(X_72,a)
| add(X_72,a) = add(a,X_72) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(a,X_72))),bind(Y0,$fot(add(X_72,a)))]]) ).
cnf(refute_0_2436,plain,
add(X_72,a) = add(a,X_72),
inference(resolve,[$cnf( $equal(add(a,X_72),add(X_72,a)) )],[refute_0_2434,refute_0_2435]) ).
cnf(refute_0_2437,plain,
( multiply(add(X_72,a),c) != multiply(add(X_72,c),c)
| add(X_72,a) != add(a,X_72)
| multiply(add(a,X_72),c) = multiply(add(X_72,c),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_72,a),c),multiply(add(X_72,c),c)) ),[0,0],$fot(add(a,X_72))]]) ).
cnf(refute_0_2438,plain,
( multiply(add(X_72,a),c) != multiply(add(X_72,c),c)
| multiply(add(a,X_72),c) = multiply(add(X_72,c),c) ),
inference(resolve,[$cnf( $equal(add(X_72,a),add(a,X_72)) )],[refute_0_2436,refute_0_2437]) ).
cnf(refute_0_2439,plain,
multiply(add(a,X_72),c) = multiply(add(X_72,c),c),
inference(resolve,[$cnf( $equal(multiply(add(X_72,a),c),multiply(add(X_72,c),c)) )],[refute_0_2433,refute_0_2438]) ).
cnf(refute_0_2440,plain,
( multiply(add(X_49,a),c) != multiply(add(X_49,c),c)
| multiply(add(X_49,c),c) = multiply(add(X_49,a),c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,a),c))),bind(Y0,$fot(multiply(add(X_49,c),c)))]]) ).
cnf(refute_0_2441,plain,
multiply(add(X_49,c),c) = multiply(add(X_49,a),c),
inference(resolve,[$cnf( $equal(multiply(add(X_49,a),c),multiply(add(X_49,c),c)) )],[refute_0_2432,refute_0_2440]) ).
cnf(refute_0_2442,plain,
multiply(add(X_72,c),c) = multiply(add(X_72,a),c),
inference(subst,[],[refute_0_2441:[bind(X_49,$fot(X_72))]]) ).
cnf(refute_0_2443,plain,
( multiply(add(X_72,c),c) != multiply(add(X_72,a),c)
| multiply(add(a,X_72),c) != multiply(add(X_72,c),c)
| multiply(add(a,X_72),c) = multiply(add(X_72,a),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,X_72),c),multiply(add(X_72,c),c)) ),[1],$fot(multiply(add(X_72,a),c))]]) ).
cnf(refute_0_2444,plain,
( multiply(add(a,X_72),c) != multiply(add(X_72,c),c)
| multiply(add(a,X_72),c) = multiply(add(X_72,a),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X_72,c),c),multiply(add(X_72,a),c)) )],[refute_0_2442,refute_0_2443]) ).
cnf(refute_0_2445,plain,
multiply(add(a,X_72),c) = multiply(add(X_72,a),c),
inference(resolve,[$cnf( $equal(multiply(add(a,X_72),c),multiply(add(X_72,c),c)) )],[refute_0_2439,refute_0_2444]) ).
cnf(refute_0_2446,plain,
( multiply(add(a,X_72),c) != multiply(add(X_72,a),c)
| multiply(add(X_72,a),c) = multiply(add(a,X_72),c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(a,X_72),c))),bind(Y0,$fot(multiply(add(X_72,a),c)))]]) ).
cnf(refute_0_2447,plain,
multiply(add(X_72,a),c) = multiply(add(a,X_72),c),
inference(resolve,[$cnf( $equal(multiply(add(a,X_72),c),multiply(add(X_72,a),c)) )],[refute_0_2445,refute_0_2446]) ).
cnf(refute_0_2448,plain,
multiply(add(b,a),c) = multiply(add(a,b),c),
inference(subst,[],[refute_0_2447:[bind(X_72,$fot(b))]]) ).
cnf(refute_0_2449,plain,
multiply(add(b,c),c) = multiply(add(b,a),c),
inference(subst,[],[refute_0_2441:[bind(X_49,$fot(b))]]) ).
cnf(refute_0_2450,plain,
( multiply(add(b,a),c) != multiply(add(a,b),c)
| multiply(add(b,c),c) != multiply(add(b,a),c)
| multiply(add(b,c),c) = multiply(add(a,b),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(b,c),c))),bind(Y0,$fot(multiply(add(b,a),c))),bind(Z0,$fot(multiply(add(a,b),c)))]]) ).
cnf(refute_0_2451,plain,
( multiply(add(b,a),c) != multiply(add(a,b),c)
| multiply(add(b,c),c) = multiply(add(a,b),c) ),
inference(resolve,[$cnf( $equal(multiply(add(b,c),c),multiply(add(b,a),c)) )],[refute_0_2449,refute_0_2450]) ).
cnf(refute_0_2452,plain,
multiply(add(b,c),c) = multiply(add(a,b),c),
inference(resolve,[$cnf( $equal(multiply(add(b,a),c),multiply(add(a,b),c)) )],[refute_0_2448,refute_0_2451]) ).
cnf(refute_0_2453,plain,
( multiply(add(b,c),c) != multiply(add(a,b),c)
| multiply(b,additive_identity) != multiply(add(b,c),c)
| multiply(b,additive_identity) = multiply(add(a,b),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,additive_identity),multiply(add(b,c),c)) ),[1],$fot(multiply(add(a,b),c))]]) ).
cnf(refute_0_2454,plain,
( multiply(b,additive_identity) != multiply(add(b,c),c)
| multiply(b,additive_identity) = multiply(add(a,b),c) ),
inference(resolve,[$cnf( $equal(multiply(add(b,c),c),multiply(add(a,b),c)) )],[refute_0_2452,refute_0_2453]) ).
cnf(refute_0_2455,plain,
( multiply(add(b,c),multiply(additive_identity,c)) != multiply(add(b,c),c)
| multiply(b,additive_identity) = multiply(add(a,b),c) ),
inference(resolve,[$cnf( $equal(multiply(b,additive_identity),multiply(add(b,c),c)) )],[refute_0_2420,refute_0_2454]) ).
cnf(refute_0_2456,plain,
multiply(b,additive_identity) = multiply(add(a,b),c),
inference(resolve,[$cnf( $equal(multiply(add(b,c),multiply(additive_identity,c)),multiply(add(b,c),c)) )],[refute_0_2389,refute_0_2455]) ).
cnf(refute_0_2457,plain,
( multiply(b,additive_identity) != multiply(add(a,b),c)
| multiply(add(a,b),c) = multiply(b,additive_identity) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(b,additive_identity))),bind(Y0,$fot(multiply(add(a,b),c)))]]) ).
cnf(refute_0_2458,plain,
multiply(add(a,b),c) = multiply(b,additive_identity),
inference(resolve,[$cnf( $equal(multiply(b,additive_identity),multiply(add(a,b),c)) )],[refute_0_2456,refute_0_2457]) ).
cnf(refute_0_2459,plain,
( multiply(add(add(a,b),c),c) != add(c,multiply(add(a,b),c))
| multiply(add(a,b),c) != multiply(b,additive_identity)
| multiply(add(add(a,b),c),c) = add(c,multiply(b,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(a,b),c),c),add(c,multiply(add(a,b),c))) ),[1,1],$fot(multiply(b,additive_identity))]]) ).
cnf(refute_0_2460,plain,
( multiply(add(add(a,b),c),c) != add(c,multiply(add(a,b),c))
| multiply(add(add(a,b),c),c) = add(c,multiply(b,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,b),c),multiply(b,additive_identity)) )],[refute_0_2458,refute_0_2459]) ).
cnf(refute_0_2461,plain,
multiply(add(add(a,b),c),c) = add(c,multiply(b,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(add(add(a,b),c),c),add(c,multiply(add(a,b),c))) )],[refute_0_14,refute_0_2460]) ).
cnf(refute_0_2462,plain,
multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,multiply(c,add(a,add(a,b)))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(c,add(a,add(a,b)))))]]) ).
cnf(refute_0_2463,plain,
( multiply(b,multiply(c,add(a,add(a,b)))) != multiply(b,multiply(c,add(a,add(a,b))))
| multiply(c,add(a,add(a,b))) != add(c,multiply(additive_identity,a))
| multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,add(c,multiply(additive_identity,a))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,multiply(c,add(a,add(a,b))))) ),[1,1],$fot(add(c,multiply(additive_identity,a)))]]) ).
cnf(refute_0_2464,plain,
( multiply(c,add(a,add(a,b))) != add(c,multiply(additive_identity,a))
| multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,add(c,multiply(additive_identity,a))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,multiply(c,add(a,add(a,b))))) )],[refute_0_2462,refute_0_2463]) ).
cnf(refute_0_2465,plain,
multiply(b,multiply(c,add(a,add(a,b)))) = multiply(b,add(c,multiply(additive_identity,a))),
inference(resolve,[$cnf( $equal(multiply(c,add(a,add(a,b))),add(c,multiply(additive_identity,a))) )],[refute_0_1715,refute_0_2464]) ).
cnf(refute_0_2466,plain,
( multiply(b,multiply(c,add(a,add(a,b)))) != multiply(b,add(a,add(a,c)))
| multiply(b,multiply(c,add(a,add(a,b)))) != multiply(b,add(c,multiply(additive_identity,a)))
| multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,add(a,add(a,c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,add(a,add(a,c)))) ),[0],$fot(multiply(b,add(c,multiply(additive_identity,a))))]]) ).
cnf(refute_0_2467,plain,
( multiply(b,multiply(c,add(a,add(a,b)))) != multiply(b,add(a,add(a,c)))
| multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,add(a,add(a,c))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,add(c,multiply(additive_identity,a)))) )],[refute_0_2465,refute_0_2466]) ).
cnf(refute_0_2468,plain,
multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,add(a,add(a,c))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(c,add(a,add(a,b)))),multiply(b,add(a,add(a,c)))) )],[refute_0_1791,refute_0_2467]) ).
cnf(refute_0_2469,plain,
( multiply(b,add(a,add(a,c))) != multiply(b,a)
| multiply(b,add(c,multiply(additive_identity,a))) != multiply(b,add(a,add(a,c)))
| multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(c,multiply(additive_identity,a))),multiply(b,add(a,add(a,c)))) ),[1],$fot(multiply(b,a))]]) ).
cnf(refute_0_2470,plain,
( multiply(b,add(c,multiply(additive_identity,a))) != multiply(b,add(a,add(a,c)))
| multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,add(a,add(a,c))),multiply(b,a)) )],[refute_0_1907,refute_0_2469]) ).
cnf(refute_0_2471,plain,
multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,a),
inference(resolve,[$cnf( $equal(multiply(b,add(c,multiply(additive_identity,a))),multiply(b,add(a,add(a,c)))) )],[refute_0_2468,refute_0_2470]) ).
cnf(refute_0_2472,plain,
multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,add(c,multiply(additive_identity,a))),
introduced(tautology,[refl,[$fot(multiply(b,add(c,multiply(additive_identity,a))))]]) ).
cnf(refute_0_2473,plain,
( multiply(b,add(c,multiply(additive_identity,a))) != multiply(b,add(c,multiply(additive_identity,a)))
| add(c,multiply(additive_identity,a)) != c
| multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(c,multiply(additive_identity,a))),multiply(b,add(c,multiply(additive_identity,a)))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2474,plain,
( add(c,multiply(additive_identity,a)) != c
| multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,c) ),
inference(resolve,[$cnf( $equal(multiply(b,add(c,multiply(additive_identity,a))),multiply(b,add(c,multiply(additive_identity,a)))) )],[refute_0_2472,refute_0_2473]) ).
cnf(refute_0_2475,plain,
multiply(b,add(c,multiply(additive_identity,a))) = multiply(b,c),
inference(resolve,[$cnf( $equal(add(c,multiply(additive_identity,a)),c) )],[refute_0_2345,refute_0_2474]) ).
cnf(refute_0_2476,plain,
( multiply(b,add(c,multiply(additive_identity,a))) != multiply(b,a)
| multiply(b,add(c,multiply(additive_identity,a))) != multiply(b,c)
| multiply(b,c) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(c,multiply(additive_identity,a))),multiply(b,a)) ),[0],$fot(multiply(b,c))]]) ).
cnf(refute_0_2477,plain,
( multiply(b,add(c,multiply(additive_identity,a))) != multiply(b,a)
| multiply(b,c) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,add(c,multiply(additive_identity,a))),multiply(b,c)) )],[refute_0_2475,refute_0_2476]) ).
cnf(refute_0_2478,plain,
multiply(b,c) = multiply(b,a),
inference(resolve,[$cnf( $equal(multiply(b,add(c,multiply(additive_identity,a))),multiply(b,a)) )],[refute_0_2471,refute_0_2477]) ).
cnf(refute_0_2479,plain,
multiply(add(add(a,a),Y),additive_inverse(c)) = add(multiply(add(a,a),additive_inverse(c)),multiply(Y,additive_inverse(c))),
inference(subst,[],[distribute2:[bind(X,$fot(add(a,a))),bind(Z,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2480,plain,
multiply(a,add(additive_inverse(c),b)) = add(c,multiply(a,additive_inverse(c))),
inference(subst,[],[refute_0_159:[bind(X_28,$fot(additive_inverse(c)))]]) ).
cnf(refute_0_2481,plain,
multiply(add(a,a),additive_inverse(c)) = add(c,multiply(a,additive_inverse(c))),
inference(subst,[],[refute_0_597:[bind(X_49,$fot(a))]]) ).
cnf(refute_0_2482,plain,
( multiply(add(a,a),additive_inverse(c)) != add(c,multiply(a,additive_inverse(c)))
| add(c,multiply(a,additive_inverse(c))) = multiply(add(a,a),additive_inverse(c)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(a,a),additive_inverse(c)))),bind(Y0,$fot(add(c,multiply(a,additive_inverse(c)))))]]) ).
cnf(refute_0_2483,plain,
add(c,multiply(a,additive_inverse(c))) = multiply(add(a,a),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(a,a),additive_inverse(c)),add(c,multiply(a,additive_inverse(c)))) )],[refute_0_2481,refute_0_2482]) ).
cnf(refute_0_2484,plain,
( multiply(a,add(additive_inverse(c),b)) != add(c,multiply(a,additive_inverse(c)))
| add(c,multiply(a,additive_inverse(c))) != multiply(add(a,a),additive_inverse(c))
| multiply(a,add(additive_inverse(c),b)) = multiply(add(a,a),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(additive_inverse(c),b)),multiply(add(a,a),additive_inverse(c))) ),[0],$fot(add(c,multiply(a,additive_inverse(c))))]]) ).
cnf(refute_0_2485,plain,
( multiply(a,add(additive_inverse(c),b)) != add(c,multiply(a,additive_inverse(c)))
| multiply(a,add(additive_inverse(c),b)) = multiply(add(a,a),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(c,multiply(a,additive_inverse(c))),multiply(add(a,a),additive_inverse(c))) )],[refute_0_2483,refute_0_2484]) ).
cnf(refute_0_2486,plain,
multiply(a,add(additive_inverse(c),b)) = multiply(add(a,a),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(a,add(additive_inverse(c),b)),add(c,multiply(a,additive_inverse(c)))) )],[refute_0_2480,refute_0_2485]) ).
cnf(refute_0_2487,plain,
( multiply(a,add(additive_inverse(c),b)) != multiply(a,add(b,additive_inverse(c)))
| multiply(a,add(b,additive_inverse(c))) != additive_identity
| multiply(a,add(additive_inverse(c),b)) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(a,add(additive_inverse(c),b)))),bind(Y0,$fot(multiply(a,add(b,additive_inverse(c))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_2488,plain,
( multiply(a,add(b,additive_inverse(c))) != additive_identity
| multiply(a,add(additive_inverse(c),b)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(a,add(additive_inverse(c),b)),multiply(a,add(b,additive_inverse(c)))) )],[refute_0_556,refute_0_2487]) ).
cnf(refute_0_2489,plain,
multiply(a,add(additive_inverse(c),b)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(a,add(b,additive_inverse(c))),additive_identity) )],[refute_0_562,refute_0_2488]) ).
cnf(refute_0_2490,plain,
( multiply(a,add(additive_inverse(c),b)) != multiply(add(a,a),additive_inverse(c))
| multiply(a,add(additive_inverse(c),b)) != additive_identity
| additive_identity = multiply(add(a,a),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(additive_inverse(c),b)),multiply(add(a,a),additive_inverse(c))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_2491,plain,
( multiply(a,add(additive_inverse(c),b)) != multiply(add(a,a),additive_inverse(c))
| additive_identity = multiply(add(a,a),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(a,add(additive_inverse(c),b)),additive_identity) )],[refute_0_2489,refute_0_2490]) ).
cnf(refute_0_2492,plain,
additive_identity = multiply(add(a,a),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(a,add(additive_inverse(c),b)),multiply(add(a,a),additive_inverse(c))) )],[refute_0_2486,refute_0_2491]) ).
cnf(refute_0_2493,plain,
( additive_identity != multiply(add(a,a),additive_inverse(c))
| multiply(add(a,a),additive_inverse(c)) = additive_identity ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(add(a,a),additive_inverse(c))))]]) ).
cnf(refute_0_2494,plain,
multiply(add(a,a),additive_inverse(c)) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(add(a,a),additive_inverse(c))) )],[refute_0_2492,refute_0_2493]) ).
cnf(refute_0_2495,plain,
( multiply(add(add(a,a),Y),additive_inverse(c)) != add(multiply(add(a,a),additive_inverse(c)),multiply(Y,additive_inverse(c)))
| multiply(add(a,a),additive_inverse(c)) != additive_identity
| multiply(add(add(a,a),Y),additive_inverse(c)) = add(additive_identity,multiply(Y,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(a,a),Y),additive_inverse(c)),add(multiply(add(a,a),additive_inverse(c)),multiply(Y,additive_inverse(c)))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2496,plain,
( multiply(add(add(a,a),Y),additive_inverse(c)) != add(multiply(add(a,a),additive_inverse(c)),multiply(Y,additive_inverse(c)))
| multiply(add(add(a,a),Y),additive_inverse(c)) = add(additive_identity,multiply(Y,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(add(a,a),additive_inverse(c)),additive_identity) )],[refute_0_2494,refute_0_2495]) ).
cnf(refute_0_2497,plain,
multiply(add(add(a,a),Y),additive_inverse(c)) = add(additive_identity,multiply(Y,additive_inverse(c))),
inference(resolve,[$cnf( $equal(multiply(add(add(a,a),Y),additive_inverse(c)),add(multiply(add(a,a),additive_inverse(c)),multiply(Y,additive_inverse(c)))) )],[refute_0_2479,refute_0_2496]) ).
cnf(refute_0_2498,plain,
add(add(a,a),Y) = add(a,add(a,Y)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(a)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2499,plain,
multiply(add(add(a,a),Y),additive_inverse(c)) = multiply(add(add(a,a),Y),additive_inverse(c)),
introduced(tautology,[refl,[$fot(multiply(add(add(a,a),Y),additive_inverse(c)))]]) ).
cnf(refute_0_2500,plain,
( multiply(add(add(a,a),Y),additive_inverse(c)) != multiply(add(add(a,a),Y),additive_inverse(c))
| add(add(a,a),Y) != add(a,add(a,Y))
| multiply(add(add(a,a),Y),additive_inverse(c)) = multiply(add(a,add(a,Y)),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(a,a),Y),additive_inverse(c)),multiply(add(add(a,a),Y),additive_inverse(c))) ),[1,0],$fot(add(a,add(a,Y)))]]) ).
cnf(refute_0_2501,plain,
( add(add(a,a),Y) != add(a,add(a,Y))
| multiply(add(add(a,a),Y),additive_inverse(c)) = multiply(add(a,add(a,Y)),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(a,a),Y),additive_inverse(c)),multiply(add(add(a,a),Y),additive_inverse(c))) )],[refute_0_2499,refute_0_2500]) ).
cnf(refute_0_2502,plain,
multiply(add(add(a,a),Y),additive_inverse(c)) = multiply(add(a,add(a,Y)),additive_inverse(c)),
inference(resolve,[$cnf( $equal(add(add(a,a),Y),add(a,add(a,Y))) )],[refute_0_2498,refute_0_2501]) ).
cnf(refute_0_2503,plain,
( multiply(add(add(a,a),Y),additive_inverse(c)) != multiply(add(a,add(a,Y)),additive_inverse(c))
| multiply(add(add(a,a),Y),additive_inverse(c)) != add(additive_identity,multiply(Y,additive_inverse(c)))
| multiply(add(a,add(a,Y)),additive_inverse(c)) = add(additive_identity,multiply(Y,additive_inverse(c))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(a,a),Y),additive_inverse(c)),add(additive_identity,multiply(Y,additive_inverse(c)))) ),[0],$fot(multiply(add(a,add(a,Y)),additive_inverse(c)))]]) ).
cnf(refute_0_2504,plain,
( multiply(add(add(a,a),Y),additive_inverse(c)) != add(additive_identity,multiply(Y,additive_inverse(c)))
| multiply(add(a,add(a,Y)),additive_inverse(c)) = add(additive_identity,multiply(Y,additive_inverse(c))) ),
inference(resolve,[$cnf( $equal(multiply(add(add(a,a),Y),additive_inverse(c)),multiply(add(a,add(a,Y)),additive_inverse(c))) )],[refute_0_2502,refute_0_2503]) ).
cnf(refute_0_2505,plain,
add(additive_identity,multiply(Y,additive_inverse(c))) = multiply(Y,additive_inverse(c)),
inference(subst,[],[left_additive_identity:[bind(X,$fot(multiply(Y,additive_inverse(c))))]]) ).
cnf(refute_0_2506,plain,
( multiply(add(a,add(a,Y)),additive_inverse(c)) != add(additive_identity,multiply(Y,additive_inverse(c)))
| add(additive_identity,multiply(Y,additive_inverse(c))) != multiply(Y,additive_inverse(c))
| multiply(add(a,add(a,Y)),additive_inverse(c)) = multiply(Y,additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,add(a,Y)),additive_inverse(c)),multiply(Y,additive_inverse(c))) ),[0],$fot(add(additive_identity,multiply(Y,additive_inverse(c))))]]) ).
cnf(refute_0_2507,plain,
( multiply(add(a,add(a,Y)),additive_inverse(c)) != add(additive_identity,multiply(Y,additive_inverse(c)))
| multiply(add(a,add(a,Y)),additive_inverse(c)) = multiply(Y,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(Y,additive_inverse(c))),multiply(Y,additive_inverse(c))) )],[refute_0_2505,refute_0_2506]) ).
cnf(refute_0_2508,plain,
( multiply(add(add(a,a),Y),additive_inverse(c)) != add(additive_identity,multiply(Y,additive_inverse(c)))
| multiply(add(a,add(a,Y)),additive_inverse(c)) = multiply(Y,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,add(a,Y)),additive_inverse(c)),add(additive_identity,multiply(Y,additive_inverse(c)))) )],[refute_0_2504,refute_0_2507]) ).
cnf(refute_0_2509,plain,
multiply(add(a,add(a,Y)),additive_inverse(c)) = multiply(Y,additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(add(a,a),Y),additive_inverse(c)),add(additive_identity,multiply(Y,additive_inverse(c)))) )],[refute_0_2497,refute_0_2508]) ).
cnf(refute_0_2510,plain,
multiply(add(a,add(a,Y)),additive_inverse(c)) = multiply(add(a,add(a,Y)),additive_inverse(c)),
introduced(tautology,[refl,[$fot(multiply(add(a,add(a,Y)),additive_inverse(c)))]]) ).
cnf(refute_0_2511,plain,
( multiply(add(a,add(a,Y)),additive_inverse(c)) != multiply(add(a,add(a,Y)),additive_inverse(c))
| additive_inverse(c) != c
| multiply(add(a,add(a,Y)),additive_inverse(c)) = multiply(add(a,add(a,Y)),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,add(a,Y)),additive_inverse(c)),multiply(add(a,add(a,Y)),additive_inverse(c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2512,plain,
( additive_inverse(c) != c
| multiply(add(a,add(a,Y)),additive_inverse(c)) = multiply(add(a,add(a,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(a,add(a,Y)),additive_inverse(c)),multiply(add(a,add(a,Y)),additive_inverse(c))) )],[refute_0_2510,refute_0_2511]) ).
cnf(refute_0_2513,plain,
multiply(add(a,add(a,Y)),additive_inverse(c)) = multiply(add(a,add(a,Y)),c),
inference(resolve,[$cnf( $equal(additive_inverse(c),c) )],[refute_0_2219,refute_0_2512]) ).
cnf(refute_0_2514,plain,
( multiply(add(a,add(a,Y)),additive_inverse(c)) != multiply(Y,additive_inverse(c))
| multiply(add(a,add(a,Y)),additive_inverse(c)) != multiply(add(a,add(a,Y)),c)
| multiply(add(a,add(a,Y)),c) = multiply(Y,additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,add(a,Y)),additive_inverse(c)),multiply(Y,additive_inverse(c))) ),[0],$fot(multiply(add(a,add(a,Y)),c))]]) ).
cnf(refute_0_2515,plain,
( multiply(add(a,add(a,Y)),additive_inverse(c)) != multiply(Y,additive_inverse(c))
| multiply(add(a,add(a,Y)),c) = multiply(Y,additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,add(a,Y)),additive_inverse(c)),multiply(add(a,add(a,Y)),c)) )],[refute_0_2513,refute_0_2514]) ).
cnf(refute_0_2516,plain,
multiply(Y,additive_inverse(c)) = multiply(Y,additive_inverse(c)),
introduced(tautology,[refl,[$fot(multiply(Y,additive_inverse(c)))]]) ).
cnf(refute_0_2517,plain,
( multiply(Y,additive_inverse(c)) != multiply(Y,additive_inverse(c))
| additive_inverse(c) != c
| multiply(Y,additive_inverse(c)) = multiply(Y,c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,additive_inverse(c)),multiply(Y,additive_inverse(c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2518,plain,
( additive_inverse(c) != c
| multiply(Y,additive_inverse(c)) = multiply(Y,c) ),
inference(resolve,[$cnf( $equal(multiply(Y,additive_inverse(c)),multiply(Y,additive_inverse(c))) )],[refute_0_2516,refute_0_2517]) ).
cnf(refute_0_2519,plain,
multiply(Y,additive_inverse(c)) = multiply(Y,c),
inference(resolve,[$cnf( $equal(additive_inverse(c),c) )],[refute_0_2219,refute_0_2518]) ).
cnf(refute_0_2520,plain,
( multiply(Y,additive_inverse(c)) != multiply(Y,c)
| multiply(add(a,add(a,Y)),c) != multiply(Y,additive_inverse(c))
| multiply(add(a,add(a,Y)),c) = multiply(Y,c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,add(a,Y)),c),multiply(Y,additive_inverse(c))) ),[1],$fot(multiply(Y,c))]]) ).
cnf(refute_0_2521,plain,
( multiply(add(a,add(a,Y)),c) != multiply(Y,additive_inverse(c))
| multiply(add(a,add(a,Y)),c) = multiply(Y,c) ),
inference(resolve,[$cnf( $equal(multiply(Y,additive_inverse(c)),multiply(Y,c)) )],[refute_0_2519,refute_0_2520]) ).
cnf(refute_0_2522,plain,
( multiply(add(a,add(a,Y)),additive_inverse(c)) != multiply(Y,additive_inverse(c))
| multiply(add(a,add(a,Y)),c) = multiply(Y,c) ),
inference(resolve,[$cnf( $equal(multiply(add(a,add(a,Y)),c),multiply(Y,additive_inverse(c))) )],[refute_0_2515,refute_0_2521]) ).
cnf(refute_0_2523,plain,
multiply(add(a,add(a,Y)),c) = multiply(Y,c),
inference(resolve,[$cnf( $equal(multiply(add(a,add(a,Y)),additive_inverse(c)),multiply(Y,additive_inverse(c))) )],[refute_0_2509,refute_0_2522]) ).
cnf(refute_0_2524,plain,
multiply(add(a,add(a,b)),c) = multiply(b,c),
inference(subst,[],[refute_0_2523:[bind(Y,$fot(b))]]) ).
cnf(refute_0_2525,plain,
( multiply(add(a,add(a,b)),c) != multiply(b,c)
| multiply(b,c) != multiply(b,a)
| multiply(add(a,add(a,b)),c) = multiply(b,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(a,add(a,b)),c))),bind(Y0,$fot(multiply(b,c))),bind(Z0,$fot(multiply(b,a)))]]) ).
cnf(refute_0_2526,plain,
( multiply(b,c) != multiply(b,a)
| multiply(add(a,add(a,b)),c) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(add(a,add(a,b)),c),multiply(b,c)) )],[refute_0_2524,refute_0_2525]) ).
cnf(refute_0_2527,plain,
multiply(add(a,add(a,b)),c) = multiply(b,a),
inference(resolve,[$cnf( $equal(multiply(b,c),multiply(b,a)) )],[refute_0_2478,refute_0_2526]) ).
cnf(refute_0_2528,plain,
multiply(add(add(X_72,c),Y),c) = add(multiply(add(X_72,c),c),multiply(Y,c)),
inference(subst,[],[distribute2:[bind(X,$fot(add(X_72,c))),bind(Z,$fot(c))]]) ).
cnf(refute_0_2529,plain,
( multiply(add(X_72,c),c) != multiply(add(X_72,a),c)
| multiply(add(add(X_72,c),Y),c) != add(multiply(add(X_72,c),c),multiply(Y,c))
| multiply(add(add(X_72,c),Y),c) = add(multiply(add(X_72,a),c),multiply(Y,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_72,c),Y),c),add(multiply(add(X_72,c),c),multiply(Y,c))) ),[1,0],$fot(multiply(add(X_72,a),c))]]) ).
cnf(refute_0_2530,plain,
( multiply(add(add(X_72,c),Y),c) != add(multiply(add(X_72,c),c),multiply(Y,c))
| multiply(add(add(X_72,c),Y),c) = add(multiply(add(X_72,a),c),multiply(Y,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_72,c),c),multiply(add(X_72,a),c)) )],[refute_0_2442,refute_0_2529]) ).
cnf(refute_0_2531,plain,
multiply(add(add(X_72,c),Y),c) = add(multiply(add(X_72,a),c),multiply(Y,c)),
inference(resolve,[$cnf( $equal(multiply(add(add(X_72,c),Y),c),add(multiply(add(X_72,c),c),multiply(Y,c))) )],[refute_0_2528,refute_0_2530]) ).
cnf(refute_0_2532,plain,
add(add(X_72,c),Y) = add(X_72,add(c,Y)),
inference(subst,[],[refute_0_205:[bind(X,$fot(X_72)),bind(Y,$fot(c)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2533,plain,
multiply(add(add(X_72,c),Y),c) = multiply(add(add(X_72,c),Y),c),
introduced(tautology,[refl,[$fot(multiply(add(add(X_72,c),Y),c))]]) ).
cnf(refute_0_2534,plain,
( multiply(add(add(X_72,c),Y),c) != multiply(add(add(X_72,c),Y),c)
| add(add(X_72,c),Y) != add(X_72,add(c,Y))
| multiply(add(add(X_72,c),Y),c) = multiply(add(X_72,add(c,Y)),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_72,c),Y),c),multiply(add(add(X_72,c),Y),c)) ),[1,0],$fot(add(X_72,add(c,Y)))]]) ).
cnf(refute_0_2535,plain,
( add(add(X_72,c),Y) != add(X_72,add(c,Y))
| multiply(add(add(X_72,c),Y),c) = multiply(add(X_72,add(c,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_72,c),Y),c),multiply(add(add(X_72,c),Y),c)) )],[refute_0_2533,refute_0_2534]) ).
cnf(refute_0_2536,plain,
multiply(add(add(X_72,c),Y),c) = multiply(add(X_72,add(c,Y)),c),
inference(resolve,[$cnf( $equal(add(add(X_72,c),Y),add(X_72,add(c,Y))) )],[refute_0_2532,refute_0_2535]) ).
cnf(refute_0_2537,plain,
( multiply(add(add(X_72,c),Y),c) != multiply(add(X_72,add(c,Y)),c)
| multiply(add(add(X_72,c),Y),c) != add(multiply(add(X_72,a),c),multiply(Y,c))
| multiply(add(X_72,add(c,Y)),c) = add(multiply(add(X_72,a),c),multiply(Y,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_72,c),Y),c),add(multiply(add(X_72,a),c),multiply(Y,c))) ),[0],$fot(multiply(add(X_72,add(c,Y)),c))]]) ).
cnf(refute_0_2538,plain,
( multiply(add(add(X_72,c),Y),c) != add(multiply(add(X_72,a),c),multiply(Y,c))
| multiply(add(X_72,add(c,Y)),c) = add(multiply(add(X_72,a),c),multiply(Y,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_72,c),Y),c),multiply(add(X_72,add(c,Y)),c)) )],[refute_0_2536,refute_0_2537]) ).
cnf(refute_0_2539,plain,
multiply(add(X,additive_inverse(c)),c) = add(multiply(X,c),multiply(additive_inverse(c),c)),
inference(subst,[],[distribute2:[bind(Y,$fot(additive_inverse(c))),bind(Z,$fot(c))]]) ).
cnf(refute_0_2540,plain,
multiply(additive_inverse(c),multiply(a,multiply(additive_inverse(c),a))) = multiply(additive_inverse(c),a),
inference(subst,[],[refute_0_21:[bind(X_14,$fot(additive_inverse(c))),bind(X_15,$fot(a))]]) ).
cnf(refute_0_2541,plain,
( multiply(additive_inverse(c),multiply(a,multiply(additive_inverse(c),a))) != multiply(additive_inverse(c),a)
| multiply(additive_inverse(c),a) != additive_inverse(c)
| multiply(additive_inverse(c),multiply(a,additive_inverse(c))) = multiply(additive_inverse(c),a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),multiply(a,multiply(additive_inverse(c),a))),multiply(additive_inverse(c),a)) ),[0,1,1],$fot(additive_inverse(c))]]) ).
cnf(refute_0_2542,plain,
( multiply(additive_inverse(c),multiply(a,multiply(additive_inverse(c),a))) != multiply(additive_inverse(c),a)
| multiply(additive_inverse(c),multiply(a,additive_inverse(c))) = multiply(additive_inverse(c),a) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),a),additive_inverse(c)) )],[refute_0_2200,refute_0_2541]) ).
cnf(refute_0_2543,plain,
multiply(additive_inverse(c),multiply(a,additive_inverse(c))) = multiply(additive_inverse(c),a),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(a,multiply(additive_inverse(c),a))),multiply(additive_inverse(c),a)) )],[refute_0_2540,refute_0_2542]) ).
cnf(refute_0_2544,plain,
multiply(additive_inverse(c),multiply(a,additive_inverse(c))) = multiply(additive_inverse(c),multiply(a,additive_inverse(c))),
introduced(tautology,[refl,[$fot(multiply(additive_inverse(c),multiply(a,additive_inverse(c))))]]) ).
cnf(refute_0_2545,plain,
( multiply(a,additive_inverse(c)) != c
| multiply(additive_inverse(c),multiply(a,additive_inverse(c))) != multiply(additive_inverse(c),multiply(a,additive_inverse(c)))
| multiply(additive_inverse(c),multiply(a,additive_inverse(c))) = multiply(additive_inverse(c),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),multiply(a,additive_inverse(c))),multiply(additive_inverse(c),multiply(a,additive_inverse(c)))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2546,plain,
( multiply(a,additive_inverse(c)) != c
| multiply(additive_inverse(c),multiply(a,additive_inverse(c))) = multiply(additive_inverse(c),c) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(a,additive_inverse(c))),multiply(additive_inverse(c),multiply(a,additive_inverse(c)))) )],[refute_0_2544,refute_0_2545]) ).
cnf(refute_0_2547,plain,
multiply(additive_inverse(c),multiply(a,additive_inverse(c))) = multiply(additive_inverse(c),c),
inference(resolve,[$cnf( $equal(multiply(a,additive_inverse(c)),c) )],[refute_0_590,refute_0_2546]) ).
cnf(refute_0_2548,plain,
( multiply(additive_inverse(c),multiply(a,additive_inverse(c))) != multiply(additive_inverse(c),a)
| multiply(additive_inverse(c),multiply(a,additive_inverse(c))) != multiply(additive_inverse(c),c)
| multiply(additive_inverse(c),c) = multiply(additive_inverse(c),a) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),multiply(a,additive_inverse(c))),multiply(additive_inverse(c),a)) ),[0],$fot(multiply(additive_inverse(c),c))]]) ).
cnf(refute_0_2549,plain,
( multiply(additive_inverse(c),multiply(a,additive_inverse(c))) != multiply(additive_inverse(c),a)
| multiply(additive_inverse(c),c) = multiply(additive_inverse(c),a) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(a,additive_inverse(c))),multiply(additive_inverse(c),c)) )],[refute_0_2547,refute_0_2548]) ).
cnf(refute_0_2550,plain,
( multiply(additive_inverse(c),a) != additive_inverse(c)
| multiply(additive_inverse(c),c) != multiply(additive_inverse(c),a)
| multiply(additive_inverse(c),c) = additive_inverse(c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_inverse(c),c),multiply(additive_inverse(c),a)) ),[1],$fot(additive_inverse(c))]]) ).
cnf(refute_0_2551,plain,
( multiply(additive_inverse(c),c) != multiply(additive_inverse(c),a)
| multiply(additive_inverse(c),c) = additive_inverse(c) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),a),additive_inverse(c)) )],[refute_0_2200,refute_0_2550]) ).
cnf(refute_0_2552,plain,
( multiply(additive_inverse(c),multiply(a,additive_inverse(c))) != multiply(additive_inverse(c),a)
| multiply(additive_inverse(c),c) = additive_inverse(c) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),c),multiply(additive_inverse(c),a)) )],[refute_0_2549,refute_0_2551]) ).
cnf(refute_0_2553,plain,
multiply(additive_inverse(c),c) = additive_inverse(c),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),multiply(a,additive_inverse(c))),multiply(additive_inverse(c),a)) )],[refute_0_2543,refute_0_2552]) ).
cnf(refute_0_2554,plain,
( multiply(add(X,additive_inverse(c)),c) != add(multiply(X,c),multiply(additive_inverse(c),c))
| multiply(additive_inverse(c),c) != additive_inverse(c)
| multiply(add(X,additive_inverse(c)),c) = add(multiply(X,c),additive_inverse(c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),add(multiply(X,c),multiply(additive_inverse(c),c))) ),[1,1],$fot(additive_inverse(c))]]) ).
cnf(refute_0_2555,plain,
( multiply(add(X,additive_inverse(c)),c) != add(multiply(X,c),multiply(additive_inverse(c),c))
| multiply(add(X,additive_inverse(c)),c) = add(multiply(X,c),additive_inverse(c)) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),c),additive_inverse(c)) )],[refute_0_2553,refute_0_2554]) ).
cnf(refute_0_2556,plain,
multiply(add(X,additive_inverse(c)),c) = add(multiply(X,c),additive_inverse(c)),
inference(resolve,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),add(multiply(X,c),multiply(additive_inverse(c),c))) )],[refute_0_2539,refute_0_2555]) ).
cnf(refute_0_2557,plain,
multiply(add(additive_inverse(c),Y),c) = add(multiply(additive_inverse(c),c),multiply(Y,c)),
inference(subst,[],[distribute2:[bind(X,$fot(additive_inverse(c))),bind(Z,$fot(c))]]) ).
cnf(refute_0_2558,plain,
( multiply(add(additive_inverse(c),Y),c) != add(multiply(additive_inverse(c),c),multiply(Y,c))
| multiply(additive_inverse(c),c) != additive_inverse(c)
| multiply(add(additive_inverse(c),Y),c) = add(additive_inverse(c),multiply(Y,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(additive_inverse(c),Y),c),add(multiply(additive_inverse(c),c),multiply(Y,c))) ),[1,0],$fot(additive_inverse(c))]]) ).
cnf(refute_0_2559,plain,
( multiply(add(additive_inverse(c),Y),c) != add(multiply(additive_inverse(c),c),multiply(Y,c))
| multiply(add(additive_inverse(c),Y),c) = add(additive_inverse(c),multiply(Y,c)) ),
inference(resolve,[$cnf( $equal(multiply(additive_inverse(c),c),additive_inverse(c)) )],[refute_0_2553,refute_0_2558]) ).
cnf(refute_0_2560,plain,
multiply(add(additive_inverse(c),Y),c) = add(additive_inverse(c),multiply(Y,c)),
inference(resolve,[$cnf( $equal(multiply(add(additive_inverse(c),Y),c),add(multiply(additive_inverse(c),c),multiply(Y,c))) )],[refute_0_2557,refute_0_2559]) ).
cnf(refute_0_2561,plain,
( multiply(add(additive_inverse(c),Y),c) != add(additive_inverse(c),multiply(Y,c))
| add(additive_inverse(c),multiply(Y,c)) = multiply(add(additive_inverse(c),Y),c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(additive_inverse(c),Y),c))),bind(Y0,$fot(add(additive_inverse(c),multiply(Y,c))))]]) ).
cnf(refute_0_2562,plain,
add(additive_inverse(c),multiply(Y,c)) = multiply(add(additive_inverse(c),Y),c),
inference(resolve,[$cnf( $equal(multiply(add(additive_inverse(c),Y),c),add(additive_inverse(c),multiply(Y,c))) )],[refute_0_2560,refute_0_2561]) ).
cnf(refute_0_2563,plain,
add(additive_inverse(c),multiply(X,c)) = multiply(add(additive_inverse(c),X),c),
inference(subst,[],[refute_0_2562:[bind(Y,$fot(X))]]) ).
cnf(refute_0_2564,plain,
add(multiply(X,c),additive_inverse(c)) = add(additive_inverse(c),multiply(X,c)),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_inverse(c))),bind(Y,$fot(multiply(X,c)))]]) ).
cnf(refute_0_2565,plain,
( add(multiply(X,c),additive_inverse(c)) != add(additive_inverse(c),multiply(X,c))
| add(additive_inverse(c),multiply(X,c)) != multiply(add(additive_inverse(c),X),c)
| add(multiply(X,c),additive_inverse(c)) = multiply(add(additive_inverse(c),X),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X,c),additive_inverse(c)))),bind(Y0,$fot(add(additive_inverse(c),multiply(X,c)))),bind(Z0,$fot(multiply(add(additive_inverse(c),X),c)))]]) ).
cnf(refute_0_2566,plain,
( add(additive_inverse(c),multiply(X,c)) != multiply(add(additive_inverse(c),X),c)
| add(multiply(X,c),additive_inverse(c)) = multiply(add(additive_inverse(c),X),c) ),
inference(resolve,[$cnf( $equal(add(multiply(X,c),additive_inverse(c)),add(additive_inverse(c),multiply(X,c))) )],[refute_0_2564,refute_0_2565]) ).
cnf(refute_0_2567,plain,
add(multiply(X,c),additive_inverse(c)) = multiply(add(additive_inverse(c),X),c),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),multiply(X,c)),multiply(add(additive_inverse(c),X),c)) )],[refute_0_2563,refute_0_2566]) ).
cnf(refute_0_2568,plain,
( multiply(add(X,additive_inverse(c)),c) != add(multiply(X,c),additive_inverse(c))
| add(multiply(X,c),additive_inverse(c)) != multiply(add(additive_inverse(c),X),c)
| multiply(add(X,additive_inverse(c)),c) = multiply(add(additive_inverse(c),X),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,additive_inverse(c)),c),multiply(add(additive_inverse(c),X),c)) ),[0],$fot(add(multiply(X,c),additive_inverse(c)))]]) ).
cnf(refute_0_2569,plain,
( multiply(add(X,additive_inverse(c)),c) != add(multiply(X,c),additive_inverse(c))
| multiply(add(X,additive_inverse(c)),c) = multiply(add(additive_inverse(c),X),c) ),
inference(resolve,[$cnf( $equal(add(multiply(X,c),additive_inverse(c)),multiply(add(additive_inverse(c),X),c)) )],[refute_0_2567,refute_0_2568]) ).
cnf(refute_0_2570,plain,
multiply(add(X,additive_inverse(c)),c) = multiply(add(additive_inverse(c),X),c),
inference(resolve,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),add(multiply(X,c),additive_inverse(c))) )],[refute_0_2556,refute_0_2569]) ).
cnf(refute_0_2571,plain,
multiply(add(X,c),c) = multiply(add(X,a),c),
inference(subst,[],[refute_0_2441:[bind(X_49,$fot(X))]]) ).
cnf(refute_0_2572,plain,
add(X,additive_inverse(c)) = add(X,additive_inverse(c)),
introduced(tautology,[refl,[$fot(add(X,additive_inverse(c)))]]) ).
cnf(refute_0_2573,plain,
( add(X,additive_inverse(c)) != add(X,additive_inverse(c))
| additive_inverse(c) != c
| add(X,additive_inverse(c)) = add(X,c) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,additive_inverse(c)),add(X,additive_inverse(c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2574,plain,
( additive_inverse(c) != c
| add(X,additive_inverse(c)) = add(X,c) ),
inference(resolve,[$cnf( $equal(add(X,additive_inverse(c)),add(X,additive_inverse(c))) )],[refute_0_2572,refute_0_2573]) ).
cnf(refute_0_2575,plain,
add(X,additive_inverse(c)) = add(X,c),
inference(resolve,[$cnf( $equal(additive_inverse(c),c) )],[refute_0_2219,refute_0_2574]) ).
cnf(refute_0_2576,plain,
multiply(add(X,additive_inverse(c)),c) = multiply(add(X,additive_inverse(c)),c),
introduced(tautology,[refl,[$fot(multiply(add(X,additive_inverse(c)),c))]]) ).
cnf(refute_0_2577,plain,
( multiply(add(X,additive_inverse(c)),c) != multiply(add(X,additive_inverse(c)),c)
| add(X,additive_inverse(c)) != add(X,c)
| multiply(add(X,additive_inverse(c)),c) = multiply(add(X,c),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),multiply(add(X,additive_inverse(c)),c)) ),[1,0],$fot(add(X,c))]]) ).
cnf(refute_0_2578,plain,
( add(X,additive_inverse(c)) != add(X,c)
| multiply(add(X,additive_inverse(c)),c) = multiply(add(X,c),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),multiply(add(X,additive_inverse(c)),c)) )],[refute_0_2576,refute_0_2577]) ).
cnf(refute_0_2579,plain,
multiply(add(X,additive_inverse(c)),c) = multiply(add(X,c),c),
inference(resolve,[$cnf( $equal(add(X,additive_inverse(c)),add(X,c)) )],[refute_0_2575,refute_0_2578]) ).
cnf(refute_0_2580,plain,
( multiply(add(X,additive_inverse(c)),c) != multiply(add(X,c),c)
| multiply(add(X,c),c) != multiply(add(X,a),c)
| multiply(add(X,additive_inverse(c)),c) = multiply(add(X,a),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(X,additive_inverse(c)),c))),bind(Y0,$fot(multiply(add(X,c),c))),bind(Z0,$fot(multiply(add(X,a),c)))]]) ).
cnf(refute_0_2581,plain,
( multiply(add(X,c),c) != multiply(add(X,a),c)
| multiply(add(X,additive_inverse(c)),c) = multiply(add(X,a),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),multiply(add(X,c),c)) )],[refute_0_2579,refute_0_2580]) ).
cnf(refute_0_2582,plain,
multiply(add(X,additive_inverse(c)),c) = multiply(add(X,a),c),
inference(resolve,[$cnf( $equal(multiply(add(X,c),c),multiply(add(X,a),c)) )],[refute_0_2571,refute_0_2581]) ).
cnf(refute_0_2583,plain,
( multiply(add(X,additive_inverse(c)),c) != multiply(add(X,a),c)
| multiply(add(X,additive_inverse(c)),c) != multiply(add(additive_inverse(c),X),c)
| multiply(add(X,a),c) = multiply(add(additive_inverse(c),X),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),multiply(add(additive_inverse(c),X),c)) ),[0],$fot(multiply(add(X,a),c))]]) ).
cnf(refute_0_2584,plain,
( multiply(add(X,additive_inverse(c)),c) != multiply(add(additive_inverse(c),X),c)
| multiply(add(X,a),c) = multiply(add(additive_inverse(c),X),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),multiply(add(X,a),c)) )],[refute_0_2582,refute_0_2583]) ).
cnf(refute_0_2585,plain,
add(additive_inverse(c),X) = add(additive_inverse(c),X),
introduced(tautology,[refl,[$fot(add(additive_inverse(c),X))]]) ).
cnf(refute_0_2586,plain,
( add(additive_inverse(c),X) != add(additive_inverse(c),X)
| additive_inverse(c) != c
| add(additive_inverse(c),X) = add(c,X) ),
introduced(tautology,[equality,[$cnf( $equal(add(additive_inverse(c),X),add(additive_inverse(c),X)) ),[1,0],$fot(c)]]) ).
cnf(refute_0_2587,plain,
( additive_inverse(c) != c
| add(additive_inverse(c),X) = add(c,X) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),X),add(additive_inverse(c),X)) )],[refute_0_2585,refute_0_2586]) ).
cnf(refute_0_2588,plain,
add(additive_inverse(c),X) = add(c,X),
inference(resolve,[$cnf( $equal(additive_inverse(c),c) )],[refute_0_2219,refute_0_2587]) ).
cnf(refute_0_2589,plain,
multiply(add(additive_inverse(c),X),c) = multiply(add(additive_inverse(c),X),c),
introduced(tautology,[refl,[$fot(multiply(add(additive_inverse(c),X),c))]]) ).
cnf(refute_0_2590,plain,
( multiply(add(additive_inverse(c),X),c) != multiply(add(additive_inverse(c),X),c)
| add(additive_inverse(c),X) != add(c,X)
| multiply(add(additive_inverse(c),X),c) = multiply(add(c,X),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(additive_inverse(c),X),c),multiply(add(additive_inverse(c),X),c)) ),[1,0],$fot(add(c,X))]]) ).
cnf(refute_0_2591,plain,
( add(additive_inverse(c),X) != add(c,X)
| multiply(add(additive_inverse(c),X),c) = multiply(add(c,X),c) ),
inference(resolve,[$cnf( $equal(multiply(add(additive_inverse(c),X),c),multiply(add(additive_inverse(c),X),c)) )],[refute_0_2589,refute_0_2590]) ).
cnf(refute_0_2592,plain,
multiply(add(additive_inverse(c),X),c) = multiply(add(c,X),c),
inference(resolve,[$cnf( $equal(add(additive_inverse(c),X),add(c,X)) )],[refute_0_2588,refute_0_2591]) ).
cnf(refute_0_2593,plain,
( multiply(add(X,a),c) != multiply(add(additive_inverse(c),X),c)
| multiply(add(additive_inverse(c),X),c) != multiply(add(c,X),c)
| multiply(add(X,a),c) = multiply(add(c,X),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,a),c),multiply(add(c,X),c)) ),[0],$fot(multiply(add(additive_inverse(c),X),c))]]) ).
cnf(refute_0_2594,plain,
( multiply(add(X,a),c) != multiply(add(additive_inverse(c),X),c)
| multiply(add(X,a),c) = multiply(add(c,X),c) ),
inference(resolve,[$cnf( $equal(multiply(add(additive_inverse(c),X),c),multiply(add(c,X),c)) )],[refute_0_2592,refute_0_2593]) ).
cnf(refute_0_2595,plain,
( multiply(add(X,additive_inverse(c)),c) != multiply(add(additive_inverse(c),X),c)
| multiply(add(X,a),c) = multiply(add(c,X),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X,a),c),multiply(add(additive_inverse(c),X),c)) )],[refute_0_2584,refute_0_2594]) ).
cnf(refute_0_2596,plain,
multiply(add(X,a),c) = multiply(add(c,X),c),
inference(resolve,[$cnf( $equal(multiply(add(X,additive_inverse(c)),c),multiply(add(additive_inverse(c),X),c)) )],[refute_0_2570,refute_0_2595]) ).
cnf(refute_0_2597,plain,
multiply(add(add(X_72,Y),a),c) = multiply(add(c,add(X_72,Y)),c),
inference(subst,[],[refute_0_2596:[bind(X,$fot(add(X_72,Y)))]]) ).
cnf(refute_0_2598,plain,
multiply(add(add(X_72,Y),c),c) = multiply(add(add(X_72,Y),a),c),
inference(subst,[],[refute_0_2441:[bind(X_49,$fot(add(X_72,Y)))]]) ).
cnf(refute_0_2599,plain,
( multiply(add(add(X_72,Y),a),c) != multiply(add(c,add(X_72,Y)),c)
| multiply(add(add(X_72,Y),c),c) != multiply(add(add(X_72,Y),a),c)
| multiply(add(add(X_72,Y),c),c) = multiply(add(c,add(X_72,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(add(X_72,Y),c),c))),bind(Y0,$fot(multiply(add(add(X_72,Y),a),c))),bind(Z0,$fot(multiply(add(c,add(X_72,Y)),c)))]]) ).
cnf(refute_0_2600,plain,
( multiply(add(add(X_72,Y),a),c) != multiply(add(c,add(X_72,Y)),c)
| multiply(add(add(X_72,Y),c),c) = multiply(add(c,add(X_72,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_72,Y),c),c),multiply(add(add(X_72,Y),a),c)) )],[refute_0_2598,refute_0_2599]) ).
cnf(refute_0_2601,plain,
multiply(add(add(X_72,Y),c),c) = multiply(add(c,add(X_72,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(add(X_72,Y),a),c),multiply(add(c,add(X_72,Y)),c)) )],[refute_0_2597,refute_0_2600]) ).
cnf(refute_0_2602,plain,
add(c,multiply(add(X_72,Y),c)) = multiply(add(add(X_72,Y),c),c),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(add(X_72,Y))),bind(X_51,$fot(c))]]) ).
cnf(refute_0_2603,plain,
( multiply(add(add(X_72,Y),c),c) != multiply(add(c,add(X_72,Y)),c)
| add(c,multiply(add(X_72,Y),c)) != multiply(add(add(X_72,Y),c),c)
| add(c,multiply(add(X_72,Y),c)) = multiply(add(c,add(X_72,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(add(X_72,Y),c)))),bind(Y0,$fot(multiply(add(add(X_72,Y),c),c))),bind(Z0,$fot(multiply(add(c,add(X_72,Y)),c)))]]) ).
cnf(refute_0_2604,plain,
( multiply(add(add(X_72,Y),c),c) != multiply(add(c,add(X_72,Y)),c)
| add(c,multiply(add(X_72,Y),c)) = multiply(add(c,add(X_72,Y)),c) ),
inference(resolve,[$cnf( $equal(add(c,multiply(add(X_72,Y),c)),multiply(add(add(X_72,Y),c),c)) )],[refute_0_2602,refute_0_2603]) ).
cnf(refute_0_2605,plain,
add(c,multiply(add(X_72,Y),c)) = multiply(add(c,add(X_72,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(add(X_72,Y),c),c),multiply(add(c,add(X_72,Y)),c)) )],[refute_0_2601,refute_0_2604]) ).
cnf(refute_0_2606,plain,
add(multiply(X_72,c),multiply(Y,c)) = multiply(add(X_72,Y),c),
inference(subst,[],[refute_0_308:[bind(X,$fot(X_72)),bind(Z,$fot(c))]]) ).
cnf(refute_0_2607,plain,
add(c,add(multiply(X_72,c),multiply(Y,c))) = add(c,add(multiply(X_72,c),multiply(Y,c))),
introduced(tautology,[refl,[$fot(add(c,add(multiply(X_72,c),multiply(Y,c))))]]) ).
cnf(refute_0_2608,plain,
( add(multiply(X_72,c),multiply(Y,c)) != multiply(add(X_72,Y),c)
| add(c,add(multiply(X_72,c),multiply(Y,c))) != add(c,add(multiply(X_72,c),multiply(Y,c)))
| add(c,add(multiply(X_72,c),multiply(Y,c))) = add(c,multiply(add(X_72,Y),c)) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(X_72,c),multiply(Y,c))),add(c,add(multiply(X_72,c),multiply(Y,c)))) ),[1,1],$fot(multiply(add(X_72,Y),c))]]) ).
cnf(refute_0_2609,plain,
( add(multiply(X_72,c),multiply(Y,c)) != multiply(add(X_72,Y),c)
| add(c,add(multiply(X_72,c),multiply(Y,c))) = add(c,multiply(add(X_72,Y),c)) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_72,c),multiply(Y,c))),add(c,add(multiply(X_72,c),multiply(Y,c)))) )],[refute_0_2607,refute_0_2608]) ).
cnf(refute_0_2610,plain,
add(c,add(multiply(X_72,c),multiply(Y,c))) = add(c,multiply(add(X_72,Y),c)),
inference(resolve,[$cnf( $equal(add(multiply(X_72,c),multiply(Y,c)),multiply(add(X_72,Y),c)) )],[refute_0_2606,refute_0_2609]) ).
cnf(refute_0_2611,plain,
( add(c,multiply(add(X_72,Y),c)) != multiply(add(c,add(X_72,Y)),c)
| add(c,add(multiply(X_72,c),multiply(Y,c))) != add(c,multiply(add(X_72,Y),c))
| add(c,add(multiply(X_72,c),multiply(Y,c))) = multiply(add(c,add(X_72,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(multiply(X_72,c),multiply(Y,c))))),bind(Y0,$fot(add(c,multiply(add(X_72,Y),c)))),bind(Z0,$fot(multiply(add(c,add(X_72,Y)),c)))]]) ).
cnf(refute_0_2612,plain,
( add(c,multiply(add(X_72,Y),c)) != multiply(add(c,add(X_72,Y)),c)
| add(c,add(multiply(X_72,c),multiply(Y,c))) = multiply(add(c,add(X_72,Y)),c) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_72,c),multiply(Y,c))),add(c,multiply(add(X_72,Y),c))) )],[refute_0_2610,refute_0_2611]) ).
cnf(refute_0_2613,plain,
add(c,add(multiply(X_72,c),multiply(Y,c))) = multiply(add(c,add(X_72,Y)),c),
inference(resolve,[$cnf( $equal(add(c,multiply(add(X_72,Y),c)),multiply(add(c,add(X_72,Y)),c)) )],[refute_0_2605,refute_0_2612]) ).
cnf(refute_0_2614,plain,
add(c,add(multiply(X_54,additive_inverse(c)),Z)) = add(add(c,multiply(X_54,additive_inverse(c))),Z),
inference(subst,[],[associativity_for_addition:[bind(X,$fot(c)),bind(Y,$fot(multiply(X_54,additive_inverse(c))))]]) ).
cnf(refute_0_2615,plain,
( add(c,multiply(X_54,additive_inverse(c))) != multiply(add(X_54,a),additive_inverse(c))
| add(c,add(multiply(X_54,additive_inverse(c)),Z)) != add(add(c,multiply(X_54,additive_inverse(c))),Z)
| add(c,add(multiply(X_54,additive_inverse(c)),Z)) = add(multiply(add(X_54,a),additive_inverse(c)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(X_54,additive_inverse(c)),Z)),add(add(c,multiply(X_54,additive_inverse(c))),Z)) ),[1,0],$fot(multiply(add(X_54,a),additive_inverse(c)))]]) ).
cnf(refute_0_2616,plain,
( add(c,add(multiply(X_54,additive_inverse(c)),Z)) != add(add(c,multiply(X_54,additive_inverse(c))),Z)
| add(c,add(multiply(X_54,additive_inverse(c)),Z)) = add(multiply(add(X_54,a),additive_inverse(c)),Z) ),
inference(resolve,[$cnf( $equal(add(c,multiply(X_54,additive_inverse(c))),multiply(add(X_54,a),additive_inverse(c))) )],[refute_0_1986,refute_0_2615]) ).
cnf(refute_0_2617,plain,
add(c,add(multiply(X_54,additive_inverse(c)),Z)) = add(multiply(add(X_54,a),additive_inverse(c)),Z),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_54,additive_inverse(c)),Z)),add(add(c,multiply(X_54,additive_inverse(c))),Z)) )],[refute_0_2614,refute_0_2616]) ).
cnf(refute_0_2618,plain,
multiply(X_54,additive_inverse(c)) = multiply(X_54,additive_inverse(c)),
introduced(tautology,[refl,[$fot(multiply(X_54,additive_inverse(c)))]]) ).
cnf(refute_0_2619,plain,
( multiply(X_54,additive_inverse(c)) != multiply(X_54,additive_inverse(c))
| additive_inverse(c) != c
| multiply(X_54,additive_inverse(c)) = multiply(X_54,c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_54,additive_inverse(c)),multiply(X_54,additive_inverse(c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2620,plain,
( additive_inverse(c) != c
| multiply(X_54,additive_inverse(c)) = multiply(X_54,c) ),
inference(resolve,[$cnf( $equal(multiply(X_54,additive_inverse(c)),multiply(X_54,additive_inverse(c))) )],[refute_0_2618,refute_0_2619]) ).
cnf(refute_0_2621,plain,
multiply(X_54,additive_inverse(c)) = multiply(X_54,c),
inference(resolve,[$cnf( $equal(additive_inverse(c),c) )],[refute_0_2219,refute_0_2620]) ).
cnf(refute_0_2622,plain,
add(multiply(X_54,additive_inverse(c)),Z) = add(multiply(X_54,additive_inverse(c)),Z),
introduced(tautology,[refl,[$fot(add(multiply(X_54,additive_inverse(c)),Z))]]) ).
cnf(refute_0_2623,plain,
( multiply(X_54,additive_inverse(c)) != multiply(X_54,c)
| add(multiply(X_54,additive_inverse(c)),Z) != add(multiply(X_54,additive_inverse(c)),Z)
| add(multiply(X_54,additive_inverse(c)),Z) = add(multiply(X_54,c),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_54,additive_inverse(c)),Z),add(multiply(X_54,additive_inverse(c)),Z)) ),[1,0],$fot(multiply(X_54,c))]]) ).
cnf(refute_0_2624,plain,
( multiply(X_54,additive_inverse(c)) != multiply(X_54,c)
| add(multiply(X_54,additive_inverse(c)),Z) = add(multiply(X_54,c),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X_54,additive_inverse(c)),Z),add(multiply(X_54,additive_inverse(c)),Z)) )],[refute_0_2622,refute_0_2623]) ).
cnf(refute_0_2625,plain,
add(multiply(X_54,additive_inverse(c)),Z) = add(multiply(X_54,c),Z),
inference(resolve,[$cnf( $equal(multiply(X_54,additive_inverse(c)),multiply(X_54,c)) )],[refute_0_2621,refute_0_2624]) ).
cnf(refute_0_2626,plain,
add(c,add(multiply(X_54,additive_inverse(c)),Z)) = add(c,add(multiply(X_54,additive_inverse(c)),Z)),
introduced(tautology,[refl,[$fot(add(c,add(multiply(X_54,additive_inverse(c)),Z)))]]) ).
cnf(refute_0_2627,plain,
( add(multiply(X_54,additive_inverse(c)),Z) != add(multiply(X_54,c),Z)
| add(c,add(multiply(X_54,additive_inverse(c)),Z)) != add(c,add(multiply(X_54,additive_inverse(c)),Z))
| add(c,add(multiply(X_54,additive_inverse(c)),Z)) = add(c,add(multiply(X_54,c),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(X_54,additive_inverse(c)),Z)),add(c,add(multiply(X_54,additive_inverse(c)),Z))) ),[1,1],$fot(add(multiply(X_54,c),Z))]]) ).
cnf(refute_0_2628,plain,
( add(multiply(X_54,additive_inverse(c)),Z) != add(multiply(X_54,c),Z)
| add(c,add(multiply(X_54,additive_inverse(c)),Z)) = add(c,add(multiply(X_54,c),Z)) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_54,additive_inverse(c)),Z)),add(c,add(multiply(X_54,additive_inverse(c)),Z))) )],[refute_0_2626,refute_0_2627]) ).
cnf(refute_0_2629,plain,
add(c,add(multiply(X_54,additive_inverse(c)),Z)) = add(c,add(multiply(X_54,c),Z)),
inference(resolve,[$cnf( $equal(add(multiply(X_54,additive_inverse(c)),Z),add(multiply(X_54,c),Z)) )],[refute_0_2625,refute_0_2628]) ).
cnf(refute_0_2630,plain,
( add(c,add(multiply(X_54,additive_inverse(c)),Z)) != add(multiply(add(X_54,a),additive_inverse(c)),Z)
| add(c,add(multiply(X_54,additive_inverse(c)),Z)) != add(c,add(multiply(X_54,c),Z))
| add(c,add(multiply(X_54,c),Z)) = add(multiply(add(X_54,a),additive_inverse(c)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(X_54,additive_inverse(c)),Z)),add(multiply(add(X_54,a),additive_inverse(c)),Z)) ),[0],$fot(add(c,add(multiply(X_54,c),Z)))]]) ).
cnf(refute_0_2631,plain,
( add(c,add(multiply(X_54,additive_inverse(c)),Z)) != add(multiply(add(X_54,a),additive_inverse(c)),Z)
| add(c,add(multiply(X_54,c),Z)) = add(multiply(add(X_54,a),additive_inverse(c)),Z) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_54,additive_inverse(c)),Z)),add(c,add(multiply(X_54,c),Z))) )],[refute_0_2629,refute_0_2630]) ).
cnf(refute_0_2632,plain,
multiply(add(X_54,a),additive_inverse(c)) = multiply(add(X_54,a),additive_inverse(c)),
introduced(tautology,[refl,[$fot(multiply(add(X_54,a),additive_inverse(c)))]]) ).
cnf(refute_0_2633,plain,
( multiply(add(X_54,a),additive_inverse(c)) != multiply(add(X_54,a),additive_inverse(c))
| additive_inverse(c) != c
| multiply(add(X_54,a),additive_inverse(c)) = multiply(add(X_54,a),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_54,a),additive_inverse(c)),multiply(add(X_54,a),additive_inverse(c))) ),[1,1],$fot(c)]]) ).
cnf(refute_0_2634,plain,
( additive_inverse(c) != c
| multiply(add(X_54,a),additive_inverse(c)) = multiply(add(X_54,a),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X_54,a),additive_inverse(c)),multiply(add(X_54,a),additive_inverse(c))) )],[refute_0_2632,refute_0_2633]) ).
cnf(refute_0_2635,plain,
multiply(add(X_54,a),additive_inverse(c)) = multiply(add(X_54,a),c),
inference(resolve,[$cnf( $equal(additive_inverse(c),c) )],[refute_0_2219,refute_0_2634]) ).
cnf(refute_0_2636,plain,
add(multiply(add(X_54,a),additive_inverse(c)),Z) = add(multiply(add(X_54,a),additive_inverse(c)),Z),
introduced(tautology,[refl,[$fot(add(multiply(add(X_54,a),additive_inverse(c)),Z))]]) ).
cnf(refute_0_2637,plain,
( multiply(add(X_54,a),additive_inverse(c)) != multiply(add(X_54,a),c)
| add(multiply(add(X_54,a),additive_inverse(c)),Z) != add(multiply(add(X_54,a),additive_inverse(c)),Z)
| add(multiply(add(X_54,a),additive_inverse(c)),Z) = add(multiply(add(X_54,a),c),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_54,a),additive_inverse(c)),Z),add(multiply(add(X_54,a),additive_inverse(c)),Z)) ),[1,0],$fot(multiply(add(X_54,a),c))]]) ).
cnf(refute_0_2638,plain,
( multiply(add(X_54,a),additive_inverse(c)) != multiply(add(X_54,a),c)
| add(multiply(add(X_54,a),additive_inverse(c)),Z) = add(multiply(add(X_54,a),c),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_54,a),additive_inverse(c)),Z),add(multiply(add(X_54,a),additive_inverse(c)),Z)) )],[refute_0_2636,refute_0_2637]) ).
cnf(refute_0_2639,plain,
add(multiply(add(X_54,a),additive_inverse(c)),Z) = add(multiply(add(X_54,a),c),Z),
inference(resolve,[$cnf( $equal(multiply(add(X_54,a),additive_inverse(c)),multiply(add(X_54,a),c)) )],[refute_0_2635,refute_0_2638]) ).
cnf(refute_0_2640,plain,
( add(multiply(add(X_54,a),additive_inverse(c)),Z) != add(multiply(add(X_54,a),c),Z)
| add(c,add(multiply(X_54,c),Z)) != add(multiply(add(X_54,a),additive_inverse(c)),Z)
| add(c,add(multiply(X_54,c),Z)) = add(multiply(add(X_54,a),c),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(X_54,c),Z)),add(multiply(add(X_54,a),additive_inverse(c)),Z)) ),[1],$fot(add(multiply(add(X_54,a),c),Z))]]) ).
cnf(refute_0_2641,plain,
( add(c,add(multiply(X_54,c),Z)) != add(multiply(add(X_54,a),additive_inverse(c)),Z)
| add(c,add(multiply(X_54,c),Z)) = add(multiply(add(X_54,a),c),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_54,a),additive_inverse(c)),Z),add(multiply(add(X_54,a),c),Z)) )],[refute_0_2639,refute_0_2640]) ).
cnf(refute_0_2642,plain,
( add(c,add(multiply(X_54,additive_inverse(c)),Z)) != add(multiply(add(X_54,a),additive_inverse(c)),Z)
| add(c,add(multiply(X_54,c),Z)) = add(multiply(add(X_54,a),c),Z) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_54,c),Z)),add(multiply(add(X_54,a),additive_inverse(c)),Z)) )],[refute_0_2631,refute_0_2641]) ).
cnf(refute_0_2643,plain,
add(c,add(multiply(X_54,c),Z)) = add(multiply(add(X_54,a),c),Z),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_54,additive_inverse(c)),Z)),add(multiply(add(X_54,a),additive_inverse(c)),Z)) )],[refute_0_2617,refute_0_2642]) ).
cnf(refute_0_2644,plain,
( add(c,add(multiply(X_54,c),Z)) != add(multiply(add(X_54,a),c),Z)
| add(multiply(add(X_54,a),c),Z) = add(c,add(multiply(X_54,c),Z)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(c,add(multiply(X_54,c),Z)))),bind(Y0,$fot(add(multiply(add(X_54,a),c),Z)))]]) ).
cnf(refute_0_2645,plain,
add(multiply(add(X_54,a),c),Z) = add(c,add(multiply(X_54,c),Z)),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_54,c),Z)),add(multiply(add(X_54,a),c),Z)) )],[refute_0_2643,refute_0_2644]) ).
cnf(refute_0_2646,plain,
add(multiply(add(X_72,a),c),multiply(Y,c)) = add(c,add(multiply(X_72,c),multiply(Y,c))),
inference(subst,[],[refute_0_2645:[bind(Z,$fot(multiply(Y,c))),bind(X_54,$fot(X_72))]]) ).
cnf(refute_0_2647,plain,
( add(multiply(add(X_72,a),c),multiply(Y,c)) != add(c,add(multiply(X_72,c),multiply(Y,c)))
| add(c,add(multiply(X_72,c),multiply(Y,c))) != multiply(add(c,add(X_72,Y)),c)
| add(multiply(add(X_72,a),c),multiply(Y,c)) = multiply(add(c,add(X_72,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(add(X_72,a),c),multiply(Y,c)))),bind(Y0,$fot(add(c,add(multiply(X_72,c),multiply(Y,c))))),bind(Z0,$fot(multiply(add(c,add(X_72,Y)),c)))]]) ).
cnf(refute_0_2648,plain,
( add(c,add(multiply(X_72,c),multiply(Y,c))) != multiply(add(c,add(X_72,Y)),c)
| add(multiply(add(X_72,a),c),multiply(Y,c)) = multiply(add(c,add(X_72,Y)),c) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_72,a),c),multiply(Y,c)),add(c,add(multiply(X_72,c),multiply(Y,c)))) )],[refute_0_2646,refute_0_2647]) ).
cnf(refute_0_2649,plain,
add(multiply(add(X_72,a),c),multiply(Y,c)) = multiply(add(c,add(X_72,Y)),c),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_72,c),multiply(Y,c))),multiply(add(c,add(X_72,Y)),c)) )],[refute_0_2613,refute_0_2648]) ).
cnf(refute_0_2650,plain,
( multiply(add(X_72,add(c,Y)),c) != add(multiply(add(X_72,a),c),multiply(Y,c))
| add(multiply(add(X_72,a),c),multiply(Y,c)) != multiply(add(c,add(X_72,Y)),c)
| multiply(add(X_72,add(c,Y)),c) = multiply(add(c,add(X_72,Y)),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_72,add(c,Y)),c),multiply(add(c,add(X_72,Y)),c)) ),[0],$fot(add(multiply(add(X_72,a),c),multiply(Y,c)))]]) ).
cnf(refute_0_2651,plain,
( multiply(add(X_72,add(c,Y)),c) != add(multiply(add(X_72,a),c),multiply(Y,c))
| multiply(add(X_72,add(c,Y)),c) = multiply(add(c,add(X_72,Y)),c) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_72,a),c),multiply(Y,c)),multiply(add(c,add(X_72,Y)),c)) )],[refute_0_2649,refute_0_2650]) ).
cnf(refute_0_2652,plain,
( multiply(add(add(X_72,c),Y),c) != add(multiply(add(X_72,a),c),multiply(Y,c))
| multiply(add(X_72,add(c,Y)),c) = multiply(add(c,add(X_72,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X_72,add(c,Y)),c),add(multiply(add(X_72,a),c),multiply(Y,c))) )],[refute_0_2538,refute_0_2651]) ).
cnf(refute_0_2653,plain,
multiply(add(X_72,add(c,Y)),c) = multiply(add(c,add(X_72,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(add(X_72,c),Y),c),add(multiply(add(X_72,a),c),multiply(Y,c))) )],[refute_0_2531,refute_0_2652]) ).
cnf(refute_0_2654,plain,
multiply(add(add(a,X_74),Y),c) = add(multiply(add(a,X_74),c),multiply(Y,c)),
inference(subst,[],[distribute2:[bind(X,$fot(add(a,X_74))),bind(Z,$fot(c))]]) ).
cnf(refute_0_2655,plain,
multiply(add(a,X_50),c) = add(multiply(a,c),multiply(X_50,c)),
inference(subst,[],[distribute2:[bind(X,$fot(a)),bind(Y,$fot(X_50)),bind(Z,$fot(c))]]) ).
cnf(refute_0_2656,plain,
( multiply(add(a,X_50),c) != add(multiply(a,c),multiply(X_50,c))
| multiply(a,c) != c
| multiply(add(a,X_50),c) = add(c,multiply(X_50,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,X_50),c),add(multiply(a,c),multiply(X_50,c))) ),[1,0],$fot(c)]]) ).
cnf(refute_0_2657,plain,
( multiply(add(a,X_50),c) != add(multiply(a,c),multiply(X_50,c))
| multiply(add(a,X_50),c) = add(c,multiply(X_50,c)) ),
inference(resolve,[$cnf( $equal(multiply(a,c),c) )],[refute_0_179,refute_0_2656]) ).
cnf(refute_0_2658,plain,
multiply(add(a,X_50),c) = add(c,multiply(X_50,c)),
inference(resolve,[$cnf( $equal(multiply(add(a,X_50),c),add(multiply(a,c),multiply(X_50,c))) )],[refute_0_2655,refute_0_2657]) ).
cnf(refute_0_2659,plain,
add(c,multiply(X_50,c)) = multiply(add(X_50,c),c),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(X_50)),bind(X_51,$fot(c))]]) ).
cnf(refute_0_2660,plain,
( multiply(add(a,X_50),c) != add(c,multiply(X_50,c))
| add(c,multiply(X_50,c)) != multiply(add(X_50,c),c)
| multiply(add(a,X_50),c) = multiply(add(X_50,c),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,X_50),c),multiply(add(X_50,c),c)) ),[0],$fot(add(c,multiply(X_50,c)))]]) ).
cnf(refute_0_2661,plain,
( multiply(add(a,X_50),c) != add(c,multiply(X_50,c))
| multiply(add(a,X_50),c) = multiply(add(X_50,c),c) ),
inference(resolve,[$cnf( $equal(add(c,multiply(X_50,c)),multiply(add(X_50,c),c)) )],[refute_0_2659,refute_0_2660]) ).
cnf(refute_0_2662,plain,
multiply(add(a,X_50),c) = multiply(add(X_50,c),c),
inference(resolve,[$cnf( $equal(multiply(add(a,X_50),c),add(c,multiply(X_50,c))) )],[refute_0_2658,refute_0_2661]) ).
cnf(refute_0_2663,plain,
multiply(add(X_50,c),c) = multiply(add(X_50,a),c),
inference(subst,[],[refute_0_2441:[bind(X_49,$fot(X_50))]]) ).
cnf(refute_0_2664,plain,
( multiply(add(X_50,c),c) != multiply(add(X_50,a),c)
| multiply(add(a,X_50),c) != multiply(add(X_50,c),c)
| multiply(add(a,X_50),c) = multiply(add(X_50,a),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(a,X_50),c),multiply(add(X_50,c),c)) ),[1],$fot(multiply(add(X_50,a),c))]]) ).
cnf(refute_0_2665,plain,
( multiply(add(a,X_50),c) != multiply(add(X_50,c),c)
| multiply(add(a,X_50),c) = multiply(add(X_50,a),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X_50,c),c),multiply(add(X_50,a),c)) )],[refute_0_2663,refute_0_2664]) ).
cnf(refute_0_2666,plain,
multiply(add(a,X_50),c) = multiply(add(X_50,a),c),
inference(resolve,[$cnf( $equal(multiply(add(a,X_50),c),multiply(add(X_50,c),c)) )],[refute_0_2662,refute_0_2665]) ).
cnf(refute_0_2667,plain,
multiply(add(a,X_74),c) = multiply(add(X_74,a),c),
inference(subst,[],[refute_0_2666:[bind(X_50,$fot(X_74))]]) ).
cnf(refute_0_2668,plain,
( multiply(add(add(a,X_74),Y),c) != add(multiply(add(a,X_74),c),multiply(Y,c))
| multiply(add(a,X_74),c) != multiply(add(X_74,a),c)
| multiply(add(add(a,X_74),Y),c) = add(multiply(add(X_74,a),c),multiply(Y,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(a,X_74),Y),c),add(multiply(add(a,X_74),c),multiply(Y,c))) ),[1,0],$fot(multiply(add(X_74,a),c))]]) ).
cnf(refute_0_2669,plain,
( multiply(add(add(a,X_74),Y),c) != add(multiply(add(a,X_74),c),multiply(Y,c))
| multiply(add(add(a,X_74),Y),c) = add(multiply(add(X_74,a),c),multiply(Y,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,X_74),c),multiply(add(X_74,a),c)) )],[refute_0_2667,refute_0_2668]) ).
cnf(refute_0_2670,plain,
multiply(add(add(a,X_74),Y),c) = add(multiply(add(X_74,a),c),multiply(Y,c)),
inference(resolve,[$cnf( $equal(multiply(add(add(a,X_74),Y),c),add(multiply(add(a,X_74),c),multiply(Y,c))) )],[refute_0_2654,refute_0_2669]) ).
cnf(refute_0_2671,plain,
add(add(a,X_74),Y) = add(a,add(X_74,Y)),
inference(subst,[],[refute_0_205:[bind(X,$fot(a)),bind(Y,$fot(X_74)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2672,plain,
multiply(add(add(a,X_74),Y),c) = multiply(add(add(a,X_74),Y),c),
introduced(tautology,[refl,[$fot(multiply(add(add(a,X_74),Y),c))]]) ).
cnf(refute_0_2673,plain,
( multiply(add(add(a,X_74),Y),c) != multiply(add(add(a,X_74),Y),c)
| add(add(a,X_74),Y) != add(a,add(X_74,Y))
| multiply(add(add(a,X_74),Y),c) = multiply(add(a,add(X_74,Y)),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(a,X_74),Y),c),multiply(add(add(a,X_74),Y),c)) ),[1,0],$fot(add(a,add(X_74,Y)))]]) ).
cnf(refute_0_2674,plain,
( add(add(a,X_74),Y) != add(a,add(X_74,Y))
| multiply(add(add(a,X_74),Y),c) = multiply(add(a,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(add(a,X_74),Y),c),multiply(add(add(a,X_74),Y),c)) )],[refute_0_2672,refute_0_2673]) ).
cnf(refute_0_2675,plain,
multiply(add(add(a,X_74),Y),c) = multiply(add(a,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(add(add(a,X_74),Y),add(a,add(X_74,Y))) )],[refute_0_2671,refute_0_2674]) ).
cnf(refute_0_2676,plain,
( multiply(add(add(a,X_74),Y),c) != multiply(add(a,add(X_74,Y)),c)
| multiply(add(add(a,X_74),Y),c) != add(multiply(add(X_74,a),c),multiply(Y,c))
| multiply(add(a,add(X_74,Y)),c) = add(multiply(add(X_74,a),c),multiply(Y,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(a,X_74),Y),c),add(multiply(add(X_74,a),c),multiply(Y,c))) ),[0],$fot(multiply(add(a,add(X_74,Y)),c))]]) ).
cnf(refute_0_2677,plain,
( multiply(add(add(a,X_74),Y),c) != add(multiply(add(X_74,a),c),multiply(Y,c))
| multiply(add(a,add(X_74,Y)),c) = add(multiply(add(X_74,a),c),multiply(Y,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(a,X_74),Y),c),multiply(add(a,add(X_74,Y)),c)) )],[refute_0_2675,refute_0_2676]) ).
cnf(refute_0_2678,plain,
add(c,X_72) = add(X_72,c),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(c)),bind(Y,$fot(X_72))]]) ).
cnf(refute_0_2679,plain,
( add(c,X_72) != add(X_72,c)
| add(X_72,c) = add(c,X_72) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(c,X_72))),bind(Y0,$fot(add(X_72,c)))]]) ).
cnf(refute_0_2680,plain,
add(X_72,c) = add(c,X_72),
inference(resolve,[$cnf( $equal(add(c,X_72),add(X_72,c)) )],[refute_0_2678,refute_0_2679]) ).
cnf(refute_0_2681,plain,
( multiply(add(X_72,a),c) != multiply(add(X_72,c),c)
| add(X_72,c) != add(c,X_72)
| multiply(add(X_72,a),c) = multiply(add(c,X_72),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_72,a),c),multiply(add(X_72,c),c)) ),[1,0],$fot(add(c,X_72))]]) ).
cnf(refute_0_2682,plain,
( multiply(add(X_72,a),c) != multiply(add(X_72,c),c)
| multiply(add(X_72,a),c) = multiply(add(c,X_72),c) ),
inference(resolve,[$cnf( $equal(add(X_72,c),add(c,X_72)) )],[refute_0_2680,refute_0_2681]) ).
cnf(refute_0_2683,plain,
multiply(add(X_72,a),c) = multiply(add(c,X_72),c),
inference(resolve,[$cnf( $equal(multiply(add(X_72,a),c),multiply(add(X_72,c),c)) )],[refute_0_2433,refute_0_2682]) ).
cnf(refute_0_2684,plain,
multiply(add(add(X_74,Y),a),c) = multiply(add(c,add(X_74,Y)),c),
inference(subst,[],[refute_0_2683:[bind(X_72,$fot(add(X_74,Y)))]]) ).
cnf(refute_0_2685,plain,
multiply(add(add(X_74,Y),c),c) = multiply(add(add(X_74,Y),a),c),
inference(subst,[],[refute_0_2441:[bind(X_49,$fot(add(X_74,Y)))]]) ).
cnf(refute_0_2686,plain,
( multiply(add(add(X_74,Y),a),c) != multiply(add(c,add(X_74,Y)),c)
| multiply(add(add(X_74,Y),c),c) != multiply(add(add(X_74,Y),a),c)
| multiply(add(add(X_74,Y),c),c) = multiply(add(c,add(X_74,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(add(X_74,Y),c),c))),bind(Y0,$fot(multiply(add(add(X_74,Y),a),c))),bind(Z0,$fot(multiply(add(c,add(X_74,Y)),c)))]]) ).
cnf(refute_0_2687,plain,
( multiply(add(add(X_74,Y),a),c) != multiply(add(c,add(X_74,Y)),c)
| multiply(add(add(X_74,Y),c),c) = multiply(add(c,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_74,Y),c),c),multiply(add(add(X_74,Y),a),c)) )],[refute_0_2685,refute_0_2686]) ).
cnf(refute_0_2688,plain,
multiply(add(add(X_74,Y),c),c) = multiply(add(c,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(add(X_74,Y),a),c),multiply(add(c,add(X_74,Y)),c)) )],[refute_0_2684,refute_0_2687]) ).
cnf(refute_0_2689,plain,
add(c,multiply(add(X_74,Y),c)) = multiply(add(add(X_74,Y),c),c),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(add(X_74,Y))),bind(X_51,$fot(c))]]) ).
cnf(refute_0_2690,plain,
( multiply(add(add(X_74,Y),c),c) != multiply(add(c,add(X_74,Y)),c)
| add(c,multiply(add(X_74,Y),c)) != multiply(add(add(X_74,Y),c),c)
| add(c,multiply(add(X_74,Y),c)) = multiply(add(c,add(X_74,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(add(X_74,Y),c)))),bind(Y0,$fot(multiply(add(add(X_74,Y),c),c))),bind(Z0,$fot(multiply(add(c,add(X_74,Y)),c)))]]) ).
cnf(refute_0_2691,plain,
( multiply(add(add(X_74,Y),c),c) != multiply(add(c,add(X_74,Y)),c)
| add(c,multiply(add(X_74,Y),c)) = multiply(add(c,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(add(c,multiply(add(X_74,Y),c)),multiply(add(add(X_74,Y),c),c)) )],[refute_0_2689,refute_0_2690]) ).
cnf(refute_0_2692,plain,
add(c,multiply(add(X_74,Y),c)) = multiply(add(c,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(add(X_74,Y),c),c),multiply(add(c,add(X_74,Y)),c)) )],[refute_0_2688,refute_0_2691]) ).
cnf(refute_0_2693,plain,
add(multiply(X_74,c),multiply(Y,c)) = multiply(add(X_74,Y),c),
inference(subst,[],[refute_0_308:[bind(X,$fot(X_74)),bind(Z,$fot(c))]]) ).
cnf(refute_0_2694,plain,
add(c,add(multiply(X_74,c),multiply(Y,c))) = add(c,add(multiply(X_74,c),multiply(Y,c))),
introduced(tautology,[refl,[$fot(add(c,add(multiply(X_74,c),multiply(Y,c))))]]) ).
cnf(refute_0_2695,plain,
( add(multiply(X_74,c),multiply(Y,c)) != multiply(add(X_74,Y),c)
| add(c,add(multiply(X_74,c),multiply(Y,c))) != add(c,add(multiply(X_74,c),multiply(Y,c)))
| add(c,add(multiply(X_74,c),multiply(Y,c))) = add(c,multiply(add(X_74,Y),c)) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,add(multiply(X_74,c),multiply(Y,c))),add(c,add(multiply(X_74,c),multiply(Y,c)))) ),[1,1],$fot(multiply(add(X_74,Y),c))]]) ).
cnf(refute_0_2696,plain,
( add(multiply(X_74,c),multiply(Y,c)) != multiply(add(X_74,Y),c)
| add(c,add(multiply(X_74,c),multiply(Y,c))) = add(c,multiply(add(X_74,Y),c)) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_74,c),multiply(Y,c))),add(c,add(multiply(X_74,c),multiply(Y,c)))) )],[refute_0_2694,refute_0_2695]) ).
cnf(refute_0_2697,plain,
add(c,add(multiply(X_74,c),multiply(Y,c))) = add(c,multiply(add(X_74,Y),c)),
inference(resolve,[$cnf( $equal(add(multiply(X_74,c),multiply(Y,c)),multiply(add(X_74,Y),c)) )],[refute_0_2693,refute_0_2696]) ).
cnf(refute_0_2698,plain,
( add(c,multiply(add(X_74,Y),c)) != multiply(add(c,add(X_74,Y)),c)
| add(c,add(multiply(X_74,c),multiply(Y,c))) != add(c,multiply(add(X_74,Y),c))
| add(c,add(multiply(X_74,c),multiply(Y,c))) = multiply(add(c,add(X_74,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,add(multiply(X_74,c),multiply(Y,c))))),bind(Y0,$fot(add(c,multiply(add(X_74,Y),c)))),bind(Z0,$fot(multiply(add(c,add(X_74,Y)),c)))]]) ).
cnf(refute_0_2699,plain,
( add(c,multiply(add(X_74,Y),c)) != multiply(add(c,add(X_74,Y)),c)
| add(c,add(multiply(X_74,c),multiply(Y,c))) = multiply(add(c,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_74,c),multiply(Y,c))),add(c,multiply(add(X_74,Y),c))) )],[refute_0_2697,refute_0_2698]) ).
cnf(refute_0_2700,plain,
add(c,add(multiply(X_74,c),multiply(Y,c))) = multiply(add(c,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(add(c,multiply(add(X_74,Y),c)),multiply(add(c,add(X_74,Y)),c)) )],[refute_0_2692,refute_0_2699]) ).
cnf(refute_0_2701,plain,
add(multiply(add(X_74,a),c),multiply(Y,c)) = add(c,add(multiply(X_74,c),multiply(Y,c))),
inference(subst,[],[refute_0_2645:[bind(Z,$fot(multiply(Y,c))),bind(X_54,$fot(X_74))]]) ).
cnf(refute_0_2702,plain,
( add(multiply(add(X_74,a),c),multiply(Y,c)) != add(c,add(multiply(X_74,c),multiply(Y,c)))
| add(c,add(multiply(X_74,c),multiply(Y,c))) != multiply(add(c,add(X_74,Y)),c)
| add(multiply(add(X_74,a),c),multiply(Y,c)) = multiply(add(c,add(X_74,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(add(X_74,a),c),multiply(Y,c)))),bind(Y0,$fot(add(c,add(multiply(X_74,c),multiply(Y,c))))),bind(Z0,$fot(multiply(add(c,add(X_74,Y)),c)))]]) ).
cnf(refute_0_2703,plain,
( add(c,add(multiply(X_74,c),multiply(Y,c))) != multiply(add(c,add(X_74,Y)),c)
| add(multiply(add(X_74,a),c),multiply(Y,c)) = multiply(add(c,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_74,a),c),multiply(Y,c)),add(c,add(multiply(X_74,c),multiply(Y,c)))) )],[refute_0_2701,refute_0_2702]) ).
cnf(refute_0_2704,plain,
add(multiply(add(X_74,a),c),multiply(Y,c)) = multiply(add(c,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(add(c,add(multiply(X_74,c),multiply(Y,c))),multiply(add(c,add(X_74,Y)),c)) )],[refute_0_2700,refute_0_2703]) ).
cnf(refute_0_2705,plain,
( multiply(add(a,add(X_74,Y)),c) != add(multiply(add(X_74,a),c),multiply(Y,c))
| add(multiply(add(X_74,a),c),multiply(Y,c)) != multiply(add(c,add(X_74,Y)),c)
| multiply(add(a,add(X_74,Y)),c) = multiply(add(c,add(X_74,Y)),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(a,add(X_74,Y)),c),multiply(add(c,add(X_74,Y)),c)) ),[0],$fot(add(multiply(add(X_74,a),c),multiply(Y,c)))]]) ).
cnf(refute_0_2706,plain,
( multiply(add(a,add(X_74,Y)),c) != add(multiply(add(X_74,a),c),multiply(Y,c))
| multiply(add(a,add(X_74,Y)),c) = multiply(add(c,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_74,a),c),multiply(Y,c)),multiply(add(c,add(X_74,Y)),c)) )],[refute_0_2704,refute_0_2705]) ).
cnf(refute_0_2707,plain,
( multiply(add(add(a,X_74),Y),c) != add(multiply(add(X_74,a),c),multiply(Y,c))
| multiply(add(a,add(X_74,Y)),c) = multiply(add(c,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(a,add(X_74,Y)),c),add(multiply(add(X_74,a),c),multiply(Y,c))) )],[refute_0_2677,refute_0_2706]) ).
cnf(refute_0_2708,plain,
multiply(add(a,add(X_74,Y)),c) = multiply(add(c,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(add(a,X_74),Y),c),add(multiply(add(X_74,a),c),multiply(Y,c))) )],[refute_0_2670,refute_0_2707]) ).
cnf(refute_0_2709,plain,
( multiply(add(a,add(X_74,Y)),c) != multiply(add(c,add(X_74,Y)),c)
| multiply(add(c,add(X_74,Y)),c) = multiply(add(a,add(X_74,Y)),c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(a,add(X_74,Y)),c))),bind(Y0,$fot(multiply(add(c,add(X_74,Y)),c)))]]) ).
cnf(refute_0_2710,plain,
multiply(add(c,add(X_74,Y)),c) = multiply(add(a,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(a,add(X_74,Y)),c),multiply(add(c,add(X_74,Y)),c)) )],[refute_0_2708,refute_0_2709]) ).
cnf(refute_0_2711,plain,
multiply(add(c,add(X_72,Y)),c) = multiply(add(a,add(X_72,Y)),c),
inference(subst,[],[refute_0_2710:[bind(X_74,$fot(X_72))]]) ).
cnf(refute_0_2712,plain,
( multiply(add(X_72,add(c,Y)),c) != multiply(add(c,add(X_72,Y)),c)
| multiply(add(c,add(X_72,Y)),c) != multiply(add(a,add(X_72,Y)),c)
| multiply(add(X_72,add(c,Y)),c) = multiply(add(a,add(X_72,Y)),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_72,add(c,Y)),c),multiply(add(a,add(X_72,Y)),c)) ),[0],$fot(multiply(add(c,add(X_72,Y)),c))]]) ).
cnf(refute_0_2713,plain,
( multiply(add(X_72,add(c,Y)),c) != multiply(add(c,add(X_72,Y)),c)
| multiply(add(X_72,add(c,Y)),c) = multiply(add(a,add(X_72,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(c,add(X_72,Y)),c),multiply(add(a,add(X_72,Y)),c)) )],[refute_0_2711,refute_0_2712]) ).
cnf(refute_0_2714,plain,
multiply(add(X_72,add(c,Y)),c) = multiply(add(a,add(X_72,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(X_72,add(c,Y)),c),multiply(add(c,add(X_72,Y)),c)) )],[refute_0_2653,refute_0_2713]) ).
cnf(refute_0_2715,plain,
multiply(add(a,add(c,b)),c) = multiply(add(a,add(a,b)),c),
inference(subst,[],[refute_0_2714:[bind(Y,$fot(b)),bind(X_72,$fot(a))]]) ).
cnf(refute_0_2716,plain,
( multiply(add(a,add(a,b)),c) != multiply(b,a)
| multiply(add(a,add(c,b)),c) != multiply(add(a,add(a,b)),c)
| multiply(add(a,add(c,b)),c) = multiply(b,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(a,add(c,b)),c))),bind(Y0,$fot(multiply(add(a,add(a,b)),c))),bind(Z0,$fot(multiply(b,a)))]]) ).
cnf(refute_0_2717,plain,
( multiply(add(a,add(a,b)),c) != multiply(b,a)
| multiply(add(a,add(c,b)),c) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(add(a,add(c,b)),c),multiply(add(a,add(a,b)),c)) )],[refute_0_2715,refute_0_2716]) ).
cnf(refute_0_2718,plain,
multiply(add(a,add(c,b)),c) = multiply(b,a),
inference(resolve,[$cnf( $equal(multiply(add(a,add(a,b)),c),multiply(b,a)) )],[refute_0_2527,refute_0_2717]) ).
cnf(refute_0_2719,plain,
multiply(add(add(X_74,a),Y),c) = add(multiply(add(X_74,a),c),multiply(Y,c)),
inference(subst,[],[distribute2:[bind(X,$fot(add(X_74,a))),bind(Z,$fot(c))]]) ).
cnf(refute_0_2720,plain,
( multiply(add(a,X_74),c) != multiply(add(X_74,a),c)
| multiply(add(X_74,a),c) = multiply(add(a,X_74),c) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(a,X_74),c))),bind(Y0,$fot(multiply(add(X_74,a),c)))]]) ).
cnf(refute_0_2721,plain,
multiply(add(X_74,a),c) = multiply(add(a,X_74),c),
inference(resolve,[$cnf( $equal(multiply(add(a,X_74),c),multiply(add(X_74,a),c)) )],[refute_0_2667,refute_0_2720]) ).
cnf(refute_0_2722,plain,
( multiply(add(X_74,a),c) != multiply(add(a,X_74),c)
| multiply(add(add(X_74,a),Y),c) != add(multiply(add(X_74,a),c),multiply(Y,c))
| multiply(add(add(X_74,a),Y),c) = add(multiply(add(a,X_74),c),multiply(Y,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_74,a),Y),c),add(multiply(add(X_74,a),c),multiply(Y,c))) ),[1,0],$fot(multiply(add(a,X_74),c))]]) ).
cnf(refute_0_2723,plain,
( multiply(add(add(X_74,a),Y),c) != add(multiply(add(X_74,a),c),multiply(Y,c))
| multiply(add(add(X_74,a),Y),c) = add(multiply(add(a,X_74),c),multiply(Y,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_74,a),c),multiply(add(a,X_74),c)) )],[refute_0_2721,refute_0_2722]) ).
cnf(refute_0_2724,plain,
multiply(add(add(X_74,a),Y),c) = add(multiply(add(a,X_74),c),multiply(Y,c)),
inference(resolve,[$cnf( $equal(multiply(add(add(X_74,a),Y),c),add(multiply(add(X_74,a),c),multiply(Y,c))) )],[refute_0_2719,refute_0_2723]) ).
cnf(refute_0_2725,plain,
add(add(X_74,a),Y) = add(X_74,add(a,Y)),
inference(subst,[],[refute_0_205:[bind(X,$fot(X_74)),bind(Y,$fot(a)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2726,plain,
multiply(add(add(X_74,a),Y),c) = multiply(add(add(X_74,a),Y),c),
introduced(tautology,[refl,[$fot(multiply(add(add(X_74,a),Y),c))]]) ).
cnf(refute_0_2727,plain,
( multiply(add(add(X_74,a),Y),c) != multiply(add(add(X_74,a),Y),c)
| add(add(X_74,a),Y) != add(X_74,add(a,Y))
| multiply(add(add(X_74,a),Y),c) = multiply(add(X_74,add(a,Y)),c) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_74,a),Y),c),multiply(add(add(X_74,a),Y),c)) ),[1,0],$fot(add(X_74,add(a,Y)))]]) ).
cnf(refute_0_2728,plain,
( add(add(X_74,a),Y) != add(X_74,add(a,Y))
| multiply(add(add(X_74,a),Y),c) = multiply(add(X_74,add(a,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_74,a),Y),c),multiply(add(add(X_74,a),Y),c)) )],[refute_0_2726,refute_0_2727]) ).
cnf(refute_0_2729,plain,
multiply(add(add(X_74,a),Y),c) = multiply(add(X_74,add(a,Y)),c),
inference(resolve,[$cnf( $equal(add(add(X_74,a),Y),add(X_74,add(a,Y))) )],[refute_0_2725,refute_0_2728]) ).
cnf(refute_0_2730,plain,
( multiply(add(add(X_74,a),Y),c) != multiply(add(X_74,add(a,Y)),c)
| multiply(add(add(X_74,a),Y),c) != add(multiply(add(a,X_74),c),multiply(Y,c))
| multiply(add(X_74,add(a,Y)),c) = add(multiply(add(a,X_74),c),multiply(Y,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_74,a),Y),c),add(multiply(add(a,X_74),c),multiply(Y,c))) ),[0],$fot(multiply(add(X_74,add(a,Y)),c))]]) ).
cnf(refute_0_2731,plain,
( multiply(add(add(X_74,a),Y),c) != add(multiply(add(a,X_74),c),multiply(Y,c))
| multiply(add(X_74,add(a,Y)),c) = add(multiply(add(a,X_74),c),multiply(Y,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_74,a),Y),c),multiply(add(X_74,add(a,Y)),c)) )],[refute_0_2729,refute_0_2730]) ).
cnf(refute_0_2732,plain,
add(multiply(add(a,X_74),c),multiply(Y,c)) = multiply(add(add(a,X_74),Y),c),
inference(subst,[],[refute_0_308:[bind(X,$fot(add(a,X_74))),bind(Z,$fot(c))]]) ).
cnf(refute_0_2733,plain,
( multiply(add(add(a,X_74),Y),c) != multiply(add(a,add(X_74,Y)),c)
| add(multiply(add(a,X_74),c),multiply(Y,c)) != multiply(add(add(a,X_74),Y),c)
| add(multiply(add(a,X_74),c),multiply(Y,c)) = multiply(add(a,add(X_74,Y)),c) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(add(a,X_74),c),multiply(Y,c)))),bind(Y0,$fot(multiply(add(add(a,X_74),Y),c))),bind(Z0,$fot(multiply(add(a,add(X_74,Y)),c)))]]) ).
cnf(refute_0_2734,plain,
( multiply(add(add(a,X_74),Y),c) != multiply(add(a,add(X_74,Y)),c)
| add(multiply(add(a,X_74),c),multiply(Y,c)) = multiply(add(a,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(add(multiply(add(a,X_74),c),multiply(Y,c)),multiply(add(add(a,X_74),Y),c)) )],[refute_0_2732,refute_0_2733]) ).
cnf(refute_0_2735,plain,
add(multiply(add(a,X_74),c),multiply(Y,c)) = multiply(add(a,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(add(a,X_74),Y),c),multiply(add(a,add(X_74,Y)),c)) )],[refute_0_2675,refute_0_2734]) ).
cnf(refute_0_2736,plain,
( multiply(add(X_74,add(a,Y)),c) != add(multiply(add(a,X_74),c),multiply(Y,c))
| add(multiply(add(a,X_74),c),multiply(Y,c)) != multiply(add(a,add(X_74,Y)),c)
| multiply(add(X_74,add(a,Y)),c) = multiply(add(a,add(X_74,Y)),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_74,add(a,Y)),c),multiply(add(a,add(X_74,Y)),c)) ),[0],$fot(add(multiply(add(a,X_74),c),multiply(Y,c)))]]) ).
cnf(refute_0_2737,plain,
( multiply(add(X_74,add(a,Y)),c) != add(multiply(add(a,X_74),c),multiply(Y,c))
| multiply(add(X_74,add(a,Y)),c) = multiply(add(a,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(add(multiply(add(a,X_74),c),multiply(Y,c)),multiply(add(a,add(X_74,Y)),c)) )],[refute_0_2735,refute_0_2736]) ).
cnf(refute_0_2738,plain,
( multiply(add(add(X_74,a),Y),c) != add(multiply(add(a,X_74),c),multiply(Y,c))
| multiply(add(X_74,add(a,Y)),c) = multiply(add(a,add(X_74,Y)),c) ),
inference(resolve,[$cnf( $equal(multiply(add(X_74,add(a,Y)),c),add(multiply(add(a,X_74),c),multiply(Y,c))) )],[refute_0_2731,refute_0_2737]) ).
cnf(refute_0_2739,plain,
multiply(add(X_74,add(a,Y)),c) = multiply(add(a,add(X_74,Y)),c),
inference(resolve,[$cnf( $equal(multiply(add(add(X_74,a),Y),c),add(multiply(add(a,X_74),c),multiply(Y,c))) )],[refute_0_2724,refute_0_2738]) ).
cnf(refute_0_2740,plain,
multiply(add(c,add(a,b)),c) = multiply(add(a,add(c,b)),c),
inference(subst,[],[refute_0_2739:[bind(Y,$fot(b)),bind(X_74,$fot(c))]]) ).
cnf(refute_0_2741,plain,
( multiply(add(a,add(c,b)),c) != multiply(b,a)
| multiply(add(c,add(a,b)),c) != multiply(add(a,add(c,b)),c)
| multiply(add(c,add(a,b)),c) = multiply(b,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(c,add(a,b)),c))),bind(Y0,$fot(multiply(add(a,add(c,b)),c))),bind(Z0,$fot(multiply(b,a)))]]) ).
cnf(refute_0_2742,plain,
( multiply(add(a,add(c,b)),c) != multiply(b,a)
| multiply(add(c,add(a,b)),c) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(add(c,add(a,b)),c),multiply(add(a,add(c,b)),c)) )],[refute_0_2740,refute_0_2741]) ).
cnf(refute_0_2743,plain,
multiply(add(c,add(a,b)),c) = multiply(b,a),
inference(resolve,[$cnf( $equal(multiply(add(a,add(c,b)),c),multiply(b,a)) )],[refute_0_2718,refute_0_2742]) ).
cnf(refute_0_2744,plain,
multiply(add(X_108,X_109),X_109) = add(X_109,multiply(X_108,X_109)),
inference(subst,[],[refute_0_13:[bind(X_49,$fot(X_108)),bind(X_51,$fot(X_109))]]) ).
cnf(refute_0_2745,plain,
add(X_109,X_108) = add(X_108,X_109),
inference(subst,[],[commutativity_for_addition:[bind(X,$fot(X_109)),bind(Y,$fot(X_108))]]) ).
cnf(refute_0_2746,plain,
( add(X_109,X_108) != add(X_108,X_109)
| add(X_108,X_109) = add(X_109,X_108) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_109,X_108))),bind(Y0,$fot(add(X_108,X_109)))]]) ).
cnf(refute_0_2747,plain,
add(X_108,X_109) = add(X_109,X_108),
inference(resolve,[$cnf( $equal(add(X_109,X_108),add(X_108,X_109)) )],[refute_0_2745,refute_0_2746]) ).
cnf(refute_0_2748,plain,
( multiply(add(X_108,X_109),X_109) != add(X_109,multiply(X_108,X_109))
| add(X_108,X_109) != add(X_109,X_108)
| multiply(add(X_109,X_108),X_109) = add(X_109,multiply(X_108,X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_108,X_109),X_109),add(X_109,multiply(X_108,X_109))) ),[0,0],$fot(add(X_109,X_108))]]) ).
cnf(refute_0_2749,plain,
( multiply(add(X_108,X_109),X_109) != add(X_109,multiply(X_108,X_109))
| multiply(add(X_109,X_108),X_109) = add(X_109,multiply(X_108,X_109)) ),
inference(resolve,[$cnf( $equal(add(X_108,X_109),add(X_109,X_108)) )],[refute_0_2747,refute_0_2748]) ).
cnf(refute_0_2750,plain,
multiply(add(X_109,X_108),X_109) = add(X_109,multiply(X_108,X_109)),
inference(resolve,[$cnf( $equal(multiply(add(X_108,X_109),X_109),add(X_109,multiply(X_108,X_109))) )],[refute_0_2744,refute_0_2749]) ).
cnf(refute_0_2751,plain,
add(X_109,multiply(X_108,X_109)) = multiply(add(X_108,X_109),X_109),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(X_108)),bind(X_51,$fot(X_109))]]) ).
cnf(refute_0_2752,plain,
( multiply(add(X_109,X_108),X_109) != add(X_109,multiply(X_108,X_109))
| add(X_109,multiply(X_108,X_109)) != multiply(add(X_108,X_109),X_109)
| multiply(add(X_109,X_108),X_109) = multiply(add(X_108,X_109),X_109) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_109,X_108),X_109),multiply(add(X_108,X_109),X_109)) ),[0],$fot(add(X_109,multiply(X_108,X_109)))]]) ).
cnf(refute_0_2753,plain,
( multiply(add(X_109,X_108),X_109) != add(X_109,multiply(X_108,X_109))
| multiply(add(X_109,X_108),X_109) = multiply(add(X_108,X_109),X_109) ),
inference(resolve,[$cnf( $equal(add(X_109,multiply(X_108,X_109)),multiply(add(X_108,X_109),X_109)) )],[refute_0_2751,refute_0_2752]) ).
cnf(refute_0_2754,plain,
multiply(add(X_109,X_108),X_109) = multiply(add(X_108,X_109),X_109),
inference(resolve,[$cnf( $equal(multiply(add(X_109,X_108),X_109),add(X_109,multiply(X_108,X_109))) )],[refute_0_2750,refute_0_2753]) ).
cnf(refute_0_2755,plain,
( multiply(add(X_109,X_108),X_109) != multiply(add(X_108,X_109),X_109)
| multiply(add(X_108,X_109),X_109) = multiply(add(X_109,X_108),X_109) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_109,X_108),X_109))),bind(Y0,$fot(multiply(add(X_108,X_109),X_109)))]]) ).
cnf(refute_0_2756,plain,
multiply(add(X_108,X_109),X_109) = multiply(add(X_109,X_108),X_109),
inference(resolve,[$cnf( $equal(multiply(add(X_109,X_108),X_109),multiply(add(X_108,X_109),X_109)) )],[refute_0_2754,refute_0_2755]) ).
cnf(refute_0_2757,plain,
multiply(add(add(a,b),c),c) = multiply(add(c,add(a,b)),c),
inference(subst,[],[refute_0_2756:[bind(X_108,$fot(add(a,b))),bind(X_109,$fot(c))]]) ).
cnf(refute_0_2758,plain,
( multiply(add(add(a,b),c),c) != multiply(add(c,add(a,b)),c)
| multiply(add(c,add(a,b)),c) != multiply(b,a)
| multiply(add(add(a,b),c),c) = multiply(b,a) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(add(a,b),c),c))),bind(Y0,$fot(multiply(add(c,add(a,b)),c))),bind(Z0,$fot(multiply(b,a)))]]) ).
cnf(refute_0_2759,plain,
( multiply(add(c,add(a,b)),c) != multiply(b,a)
| multiply(add(add(a,b),c),c) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(add(add(a,b),c),c),multiply(add(c,add(a,b)),c)) )],[refute_0_2757,refute_0_2758]) ).
cnf(refute_0_2760,plain,
multiply(add(add(a,b),c),c) = multiply(b,a),
inference(resolve,[$cnf( $equal(multiply(add(c,add(a,b)),c),multiply(b,a)) )],[refute_0_2743,refute_0_2759]) ).
cnf(refute_0_2761,plain,
( multiply(add(add(a,b),c),c) != multiply(b,a)
| multiply(add(add(a,b),c),c) != add(c,multiply(b,additive_identity))
| multiply(b,a) = add(c,multiply(b,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(a,b),c),c),add(c,multiply(b,additive_identity))) ),[0],$fot(multiply(b,a))]]) ).
cnf(refute_0_2762,plain,
( multiply(add(add(a,b),c),c) != add(c,multiply(b,additive_identity))
| multiply(b,a) = add(c,multiply(b,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(a,b),c),c),multiply(b,a)) )],[refute_0_2760,refute_0_2761]) ).
cnf(refute_0_2763,plain,
multiply(b,a) = add(c,multiply(b,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(add(add(a,b),c),c),add(c,multiply(b,additive_identity))) )],[refute_0_2461,refute_0_2762]) ).
cnf(refute_0_2764,plain,
add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) = add(X_7,add(additive_inverse(X_7),add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))))),
inference(subst,[],[refute_0_135:[bind(X_6,$fot(add(X_26,additive_inverse(add(additive_inverse(X_7),X_26)))))]]) ).
cnf(refute_0_2765,plain,
add(additive_inverse(X_7),add(X_26,additive_inverse(add(additive_inverse(X_7),X_26)))) = additive_identity,
inference(subst,[],[refute_0_150:[bind(X_6,$fot(additive_inverse(X_7))),bind(X_7,$fot(X_26))]]) ).
cnf(refute_0_2766,plain,
( add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) != add(X_7,add(additive_inverse(X_7),add(X_26,additive_inverse(add(additive_inverse(X_7),X_26)))))
| add(additive_inverse(X_7),add(X_26,additive_inverse(add(additive_inverse(X_7),X_26)))) != additive_identity
| add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) = add(X_7,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))),add(X_7,add(additive_inverse(X_7),add(X_26,additive_inverse(add(additive_inverse(X_7),X_26)))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2767,plain,
( add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) != add(X_7,add(additive_inverse(X_7),add(X_26,additive_inverse(add(additive_inverse(X_7),X_26)))))
| add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) = add(X_7,additive_identity) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(X_7),add(X_26,additive_inverse(add(additive_inverse(X_7),X_26)))),additive_identity) )],[refute_0_2765,refute_0_2766]) ).
cnf(refute_0_2768,plain,
add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) = add(X_7,additive_identity),
inference(resolve,[$cnf( $equal(add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))),add(X_7,add(additive_inverse(X_7),add(X_26,additive_inverse(add(additive_inverse(X_7),X_26)))))) )],[refute_0_2764,refute_0_2767]) ).
cnf(refute_0_2769,plain,
add(X_7,additive_identity) = X_7,
inference(subst,[],[right_additive_identity:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_2770,plain,
( add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) != add(X_7,additive_identity)
| add(X_7,additive_identity) != X_7
| add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) = X_7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))),X_7) ),[0],$fot(add(X_7,additive_identity))]]) ).
cnf(refute_0_2771,plain,
( add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) != add(X_7,additive_identity)
| add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) = X_7 ),
inference(resolve,[$cnf( $equal(add(X_7,additive_identity),X_7) )],[refute_0_2769,refute_0_2770]) ).
cnf(refute_0_2772,plain,
add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))) = X_7,
inference(resolve,[$cnf( $equal(add(X_26,additive_inverse(add(additive_inverse(X_7),X_26))),add(X_7,additive_identity)) )],[refute_0_2768,refute_0_2771]) ).
cnf(refute_0_2773,plain,
add(X_67,additive_inverse(add(additive_inverse(additive_inverse(X_10)),X_67))) = additive_inverse(X_10),
inference(subst,[],[refute_0_2772:[bind(X_26,$fot(X_67)),bind(X_7,$fot(additive_inverse(X_10)))]]) ).
cnf(refute_0_2774,plain,
additive_inverse(additive_inverse(X_10)) = add(X_10,add(additive_inverse(X_10),additive_inverse(additive_inverse(X_10)))),
inference(subst,[],[refute_0_135:[bind(X_6,$fot(additive_inverse(additive_inverse(X_10)))),bind(X_7,$fot(X_10))]]) ).
cnf(refute_0_2775,plain,
add(additive_inverse(X_10),additive_inverse(additive_inverse(X_10))) = additive_identity,
inference(subst,[],[right_additive_inverse:[bind(X,$fot(additive_inverse(X_10)))]]) ).
cnf(refute_0_2776,plain,
( add(additive_inverse(X_10),additive_inverse(additive_inverse(X_10))) != additive_identity
| additive_inverse(additive_inverse(X_10)) != add(X_10,add(additive_inverse(X_10),additive_inverse(additive_inverse(X_10))))
| additive_inverse(additive_inverse(X_10)) = add(X_10,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(additive_inverse(additive_inverse(X_10)),add(X_10,add(additive_inverse(X_10),additive_inverse(additive_inverse(X_10))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2777,plain,
( additive_inverse(additive_inverse(X_10)) != add(X_10,add(additive_inverse(X_10),additive_inverse(additive_inverse(X_10))))
| additive_inverse(additive_inverse(X_10)) = add(X_10,additive_identity) ),
inference(resolve,[$cnf( $equal(add(additive_inverse(X_10),additive_inverse(additive_inverse(X_10))),additive_identity) )],[refute_0_2775,refute_0_2776]) ).
cnf(refute_0_2778,plain,
additive_inverse(additive_inverse(X_10)) = add(X_10,additive_identity),
inference(resolve,[$cnf( $equal(additive_inverse(additive_inverse(X_10)),add(X_10,add(additive_inverse(X_10),additive_inverse(additive_inverse(X_10))))) )],[refute_0_2774,refute_0_2777]) ).
cnf(refute_0_2779,plain,
add(X_10,additive_identity) = X_10,
inference(subst,[],[right_additive_identity:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_2780,plain,
( add(X_10,additive_identity) != X_10
| additive_inverse(additive_inverse(X_10)) != add(X_10,additive_identity)
| additive_inverse(additive_inverse(X_10)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(additive_inverse(additive_inverse(X_10)),add(X_10,additive_identity)) ),[1],$fot(X_10)]]) ).
cnf(refute_0_2781,plain,
( additive_inverse(additive_inverse(X_10)) != add(X_10,additive_identity)
| additive_inverse(additive_inverse(X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(add(X_10,additive_identity),X_10) )],[refute_0_2779,refute_0_2780]) ).
cnf(refute_0_2782,plain,
additive_inverse(additive_inverse(X_10)) = X_10,
inference(resolve,[$cnf( $equal(additive_inverse(additive_inverse(X_10)),add(X_10,additive_identity)) )],[refute_0_2778,refute_0_2781]) ).
cnf(refute_0_2783,plain,
( add(X_67,additive_inverse(add(additive_inverse(additive_inverse(X_10)),X_67))) != additive_inverse(X_10)
| additive_inverse(additive_inverse(X_10)) != X_10
| add(X_67,additive_inverse(add(X_10,X_67))) = additive_inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_67,additive_inverse(add(additive_inverse(additive_inverse(X_10)),X_67))),additive_inverse(X_10)) ),[0,1,0,0],$fot(X_10)]]) ).
cnf(refute_0_2784,plain,
( add(X_67,additive_inverse(add(additive_inverse(additive_inverse(X_10)),X_67))) != additive_inverse(X_10)
| add(X_67,additive_inverse(add(X_10,X_67))) = additive_inverse(X_10) ),
inference(resolve,[$cnf( $equal(additive_inverse(additive_inverse(X_10)),X_10) )],[refute_0_2782,refute_0_2783]) ).
cnf(refute_0_2785,plain,
add(X_67,additive_inverse(add(X_10,X_67))) = additive_inverse(X_10),
inference(resolve,[$cnf( $equal(add(X_67,additive_inverse(add(additive_inverse(additive_inverse(X_10)),X_67))),additive_inverse(X_10)) )],[refute_0_2773,refute_0_2784]) ).
cnf(refute_0_2786,plain,
add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,add(X_10,add(X_10,X_10))))) = additive_inverse(X_10),
inference(subst,[],[refute_0_2785:[bind(X_67,$fot(add(X_10,add(X_10,X_10))))]]) ).
cnf(refute_0_2787,plain,
multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) = add(add(X_108,X_108),multiply(X_108,add(X_108,X_108))),
inference(subst,[],[refute_0_13:[bind(X_49,$fot(X_108)),bind(X_51,$fot(add(X_108,X_108)))]]) ).
cnf(refute_0_2788,plain,
multiply(X_108,add(X_108,X_108)) = add(X_108,X_108),
inference(subst,[],[refute_0_359:[bind(X_31,$fot(X_108))]]) ).
cnf(refute_0_2789,plain,
( multiply(X_108,add(X_108,X_108)) != add(X_108,X_108)
| multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) != add(add(X_108,X_108),multiply(X_108,add(X_108,X_108)))
| multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) = add(add(X_108,X_108),add(X_108,X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)),add(add(X_108,X_108),multiply(X_108,add(X_108,X_108)))) ),[1,1],$fot(add(X_108,X_108))]]) ).
cnf(refute_0_2790,plain,
( multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) != add(add(X_108,X_108),multiply(X_108,add(X_108,X_108)))
| multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) = add(add(X_108,X_108),add(X_108,X_108)) ),
inference(resolve,[$cnf( $equal(multiply(X_108,add(X_108,X_108)),add(X_108,X_108)) )],[refute_0_2788,refute_0_2789]) ).
cnf(refute_0_2791,plain,
multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) = add(add(X_108,X_108),add(X_108,X_108)),
inference(resolve,[$cnf( $equal(multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)),add(add(X_108,X_108),multiply(X_108,add(X_108,X_108)))) )],[refute_0_2787,refute_0_2790]) ).
cnf(refute_0_2792,plain,
multiply(add(X_108,X_108),add(X_108,X_108)) = add(X_108,X_108),
inference(subst,[],[boolean_ring:[bind(X,$fot(add(X_108,X_108)))]]) ).
cnf(refute_0_2793,plain,
multiply(add(X_49,X_50),add(X_49,X_49)) = add(multiply(X_49,add(X_49,X_49)),multiply(X_50,add(X_49,X_49))),
inference(subst,[],[distribute2:[bind(X,$fot(X_49)),bind(Y,$fot(X_50)),bind(Z,$fot(add(X_49,X_49)))]]) ).
cnf(refute_0_2794,plain,
multiply(X_49,add(X_49,X_49)) = add(X_49,X_49),
inference(subst,[],[refute_0_359:[bind(X_31,$fot(X_49))]]) ).
cnf(refute_0_2795,plain,
( multiply(X_49,add(X_49,X_49)) != add(X_49,X_49)
| multiply(add(X_49,X_50),add(X_49,X_49)) != add(multiply(X_49,add(X_49,X_49)),multiply(X_50,add(X_49,X_49)))
| multiply(add(X_49,X_50),add(X_49,X_49)) = add(add(X_49,X_49),multiply(X_50,add(X_49,X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_49,X_50),add(X_49,X_49)),add(multiply(X_49,add(X_49,X_49)),multiply(X_50,add(X_49,X_49)))) ),[1,0],$fot(add(X_49,X_49))]]) ).
cnf(refute_0_2796,plain,
( multiply(add(X_49,X_50),add(X_49,X_49)) != add(multiply(X_49,add(X_49,X_49)),multiply(X_50,add(X_49,X_49)))
| multiply(add(X_49,X_50),add(X_49,X_49)) = add(add(X_49,X_49),multiply(X_50,add(X_49,X_49))) ),
inference(resolve,[$cnf( $equal(multiply(X_49,add(X_49,X_49)),add(X_49,X_49)) )],[refute_0_2794,refute_0_2795]) ).
cnf(refute_0_2797,plain,
multiply(add(X_49,X_50),add(X_49,X_49)) = add(add(X_49,X_49),multiply(X_50,add(X_49,X_49))),
inference(resolve,[$cnf( $equal(multiply(add(X_49,X_50),add(X_49,X_49)),add(multiply(X_49,add(X_49,X_49)),multiply(X_50,add(X_49,X_49)))) )],[refute_0_2793,refute_0_2796]) ).
cnf(refute_0_2798,plain,
add(add(X_49,X_49),multiply(X_50,add(X_49,X_49))) = multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49)),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(X_50)),bind(X_51,$fot(add(X_49,X_49)))]]) ).
cnf(refute_0_2799,plain,
( multiply(add(X_49,X_50),add(X_49,X_49)) != add(add(X_49,X_49),multiply(X_50,add(X_49,X_49)))
| add(add(X_49,X_49),multiply(X_50,add(X_49,X_49))) != multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49))
| multiply(add(X_49,X_50),add(X_49,X_49)) = multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_49,X_50),add(X_49,X_49)),multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49))) ),[0],$fot(add(add(X_49,X_49),multiply(X_50,add(X_49,X_49))))]]) ).
cnf(refute_0_2800,plain,
( multiply(add(X_49,X_50),add(X_49,X_49)) != add(add(X_49,X_49),multiply(X_50,add(X_49,X_49)))
| multiply(add(X_49,X_50),add(X_49,X_49)) = multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49)) ),
inference(resolve,[$cnf( $equal(add(add(X_49,X_49),multiply(X_50,add(X_49,X_49))),multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49))) )],[refute_0_2798,refute_0_2799]) ).
cnf(refute_0_2801,plain,
multiply(add(X_49,X_50),add(X_49,X_49)) = multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49)),
inference(resolve,[$cnf( $equal(multiply(add(X_49,X_50),add(X_49,X_49)),add(add(X_49,X_49),multiply(X_50,add(X_49,X_49)))) )],[refute_0_2797,refute_0_2800]) ).
cnf(refute_0_2802,plain,
( multiply(add(X_49,X_50),add(X_49,X_49)) != multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49))
| multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49)) = multiply(add(X_49,X_50),add(X_49,X_49)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(add(X_49,X_50),add(X_49,X_49)))),bind(Y0,$fot(multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49))))]]) ).
cnf(refute_0_2803,plain,
multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49)) = multiply(add(X_49,X_50),add(X_49,X_49)),
inference(resolve,[$cnf( $equal(multiply(add(X_49,X_50),add(X_49,X_49)),multiply(add(X_50,add(X_49,X_49)),add(X_49,X_49))) )],[refute_0_2801,refute_0_2802]) ).
cnf(refute_0_2804,plain,
multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) = multiply(add(X_108,X_108),add(X_108,X_108)),
inference(subst,[],[refute_0_2803:[bind(X_49,$fot(X_108)),bind(X_50,$fot(X_108))]]) ).
cnf(refute_0_2805,plain,
( multiply(add(X_108,X_108),add(X_108,X_108)) != add(X_108,X_108)
| multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) != multiply(add(X_108,X_108),add(X_108,X_108))
| multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) = add(X_108,X_108) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)))),bind(Y0,$fot(multiply(add(X_108,X_108),add(X_108,X_108)))),bind(Z0,$fot(add(X_108,X_108)))]]) ).
cnf(refute_0_2806,plain,
( multiply(add(X_108,X_108),add(X_108,X_108)) != add(X_108,X_108)
| multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) = add(X_108,X_108) ),
inference(resolve,[$cnf( $equal(multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)),multiply(add(X_108,X_108),add(X_108,X_108))) )],[refute_0_2804,refute_0_2805]) ).
cnf(refute_0_2807,plain,
multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) = add(X_108,X_108),
inference(resolve,[$cnf( $equal(multiply(add(X_108,X_108),add(X_108,X_108)),add(X_108,X_108)) )],[refute_0_2792,refute_0_2806]) ).
cnf(refute_0_2808,plain,
( multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) != add(X_108,X_108)
| multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) != add(add(X_108,X_108),add(X_108,X_108))
| add(X_108,X_108) = add(add(X_108,X_108),add(X_108,X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)),add(add(X_108,X_108),add(X_108,X_108))) ),[0],$fot(add(X_108,X_108))]]) ).
cnf(refute_0_2809,plain,
( multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) != add(add(X_108,X_108),add(X_108,X_108))
| add(X_108,X_108) = add(add(X_108,X_108),add(X_108,X_108)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)),add(X_108,X_108)) )],[refute_0_2807,refute_0_2808]) ).
cnf(refute_0_2810,plain,
add(X_108,add(add(X_108,X_108),X_108)) = add(X_108,add(X_108,add(X_108,X_108))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(X_108)),bind(X_7,$fot(add(X_108,X_108))),bind(X_8,$fot(X_108))]]) ).
cnf(refute_0_2811,plain,
add(add(X_108,X_108),add(X_108,X_108)) = add(X_108,add(add(X_108,X_108),X_108)),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(X_108)),bind(X_7,$fot(add(X_108,X_108))),bind(X_8,$fot(X_108))]]) ).
cnf(refute_0_2812,plain,
( add(X_108,add(add(X_108,X_108),X_108)) != add(X_108,add(X_108,add(X_108,X_108)))
| add(add(X_108,X_108),add(X_108,X_108)) != add(X_108,add(add(X_108,X_108),X_108))
| add(add(X_108,X_108),add(X_108,X_108)) = add(X_108,add(X_108,add(X_108,X_108))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_108,X_108),add(X_108,X_108)))),bind(Y0,$fot(add(X_108,add(add(X_108,X_108),X_108)))),bind(Z0,$fot(add(X_108,add(X_108,add(X_108,X_108)))))]]) ).
cnf(refute_0_2813,plain,
( add(X_108,add(add(X_108,X_108),X_108)) != add(X_108,add(X_108,add(X_108,X_108)))
| add(add(X_108,X_108),add(X_108,X_108)) = add(X_108,add(X_108,add(X_108,X_108))) ),
inference(resolve,[$cnf( $equal(add(add(X_108,X_108),add(X_108,X_108)),add(X_108,add(add(X_108,X_108),X_108))) )],[refute_0_2811,refute_0_2812]) ).
cnf(refute_0_2814,plain,
add(add(X_108,X_108),add(X_108,X_108)) = add(X_108,add(X_108,add(X_108,X_108))),
inference(resolve,[$cnf( $equal(add(X_108,add(add(X_108,X_108),X_108)),add(X_108,add(X_108,add(X_108,X_108)))) )],[refute_0_2810,refute_0_2813]) ).
cnf(refute_0_2815,plain,
( add(X_108,X_108) != add(add(X_108,X_108),add(X_108,X_108))
| add(add(X_108,X_108),add(X_108,X_108)) != add(X_108,add(X_108,add(X_108,X_108)))
| add(X_108,X_108) = add(X_108,add(X_108,add(X_108,X_108))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_108,X_108),add(X_108,add(X_108,add(X_108,X_108)))) ),[0],$fot(add(add(X_108,X_108),add(X_108,X_108)))]]) ).
cnf(refute_0_2816,plain,
( add(X_108,X_108) != add(add(X_108,X_108),add(X_108,X_108))
| add(X_108,X_108) = add(X_108,add(X_108,add(X_108,X_108))) ),
inference(resolve,[$cnf( $equal(add(add(X_108,X_108),add(X_108,X_108)),add(X_108,add(X_108,add(X_108,X_108)))) )],[refute_0_2814,refute_0_2815]) ).
cnf(refute_0_2817,plain,
( multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)) != add(add(X_108,X_108),add(X_108,X_108))
| add(X_108,X_108) = add(X_108,add(X_108,add(X_108,X_108))) ),
inference(resolve,[$cnf( $equal(add(X_108,X_108),add(add(X_108,X_108),add(X_108,X_108))) )],[refute_0_2809,refute_0_2816]) ).
cnf(refute_0_2818,plain,
add(X_108,X_108) = add(X_108,add(X_108,add(X_108,X_108))),
inference(resolve,[$cnf( $equal(multiply(add(X_108,add(X_108,X_108)),add(X_108,X_108)),add(add(X_108,X_108),add(X_108,X_108))) )],[refute_0_2791,refute_0_2817]) ).
cnf(refute_0_2819,plain,
add(X_10,X_10) = add(X_10,add(X_10,add(X_10,X_10))),
inference(subst,[],[refute_0_2818:[bind(X_108,$fot(X_10))]]) ).
cnf(refute_0_2820,plain,
( add(X_10,X_10) != add(X_10,add(X_10,add(X_10,X_10)))
| add(X_10,add(X_10,add(X_10,X_10))) = add(X_10,X_10) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_10,X_10))),bind(Y0,$fot(add(X_10,add(X_10,add(X_10,X_10)))))]]) ).
cnf(refute_0_2821,plain,
add(X_10,add(X_10,add(X_10,X_10))) = add(X_10,X_10),
inference(resolve,[$cnf( $equal(add(X_10,X_10),add(X_10,add(X_10,add(X_10,X_10)))) )],[refute_0_2819,refute_0_2820]) ).
cnf(refute_0_2822,plain,
( add(X_10,add(X_10,add(X_10,X_10))) != add(X_10,X_10)
| add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,add(X_10,add(X_10,X_10))))) != additive_inverse(X_10)
| add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) = additive_inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,add(X_10,add(X_10,X_10))))),additive_inverse(X_10)) ),[0,1,0],$fot(add(X_10,X_10))]]) ).
cnf(refute_0_2823,plain,
( add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,add(X_10,add(X_10,X_10))))) != additive_inverse(X_10)
| add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) = additive_inverse(X_10) ),
inference(resolve,[$cnf( $equal(add(X_10,add(X_10,add(X_10,X_10))),add(X_10,X_10)) )],[refute_0_2821,refute_0_2822]) ).
cnf(refute_0_2824,plain,
add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) = additive_inverse(X_10),
inference(resolve,[$cnf( $equal(add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,add(X_10,add(X_10,X_10))))),additive_inverse(X_10)) )],[refute_0_2786,refute_0_2823]) ).
cnf(refute_0_2825,plain,
( X_9 != add(X_10,add(X_9,additive_inverse(X_10)))
| add(X_10,add(X_9,additive_inverse(X_10))) = X_9 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_9)),bind(Y0,$fot(add(X_10,add(X_9,additive_inverse(X_10)))))]]) ).
cnf(refute_0_2826,plain,
add(X_10,add(X_9,additive_inverse(X_10))) = X_9,
inference(resolve,[$cnf( $equal(X_9,add(X_10,add(X_9,additive_inverse(X_10)))) )],[refute_0_142,refute_0_2825]) ).
cnf(refute_0_2827,plain,
add(X_10,add(X_10,additive_inverse(X_10))) = X_10,
inference(subst,[],[refute_0_2826:[bind(X_9,$fot(X_10))]]) ).
cnf(refute_0_2828,plain,
add(X_10,add(additive_inverse(X_10),X_10)) = add(X_10,add(X_10,additive_inverse(X_10))),
inference(subst,[],[refute_0_330:[bind(X_6,$fot(X_10)),bind(X_7,$fot(additive_inverse(X_10))),bind(X_8,$fot(X_10))]]) ).
cnf(refute_0_2829,plain,
( add(X_10,add(X_10,additive_inverse(X_10))) != X_10
| add(X_10,add(additive_inverse(X_10),X_10)) != add(X_10,add(X_10,additive_inverse(X_10)))
| add(X_10,add(additive_inverse(X_10),X_10)) = X_10 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_10,add(additive_inverse(X_10),X_10)))),bind(Y0,$fot(add(X_10,add(X_10,additive_inverse(X_10))))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_2830,plain,
( add(X_10,add(X_10,additive_inverse(X_10))) != X_10
| add(X_10,add(additive_inverse(X_10),X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(add(X_10,add(additive_inverse(X_10),X_10)),add(X_10,add(X_10,additive_inverse(X_10)))) )],[refute_0_2828,refute_0_2829]) ).
cnf(refute_0_2831,plain,
add(X_10,add(additive_inverse(X_10),X_10)) = X_10,
inference(resolve,[$cnf( $equal(add(X_10,add(X_10,additive_inverse(X_10))),X_10) )],[refute_0_2827,refute_0_2830]) ).
cnf(refute_0_2832,plain,
add(additive_inverse(X_10),add(X_10,X_10)) = add(X_10,add(additive_inverse(X_10),X_10)),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(X_10)),bind(X_7,$fot(additive_inverse(X_10))),bind(X_8,$fot(X_10))]]) ).
cnf(refute_0_2833,plain,
( add(X_10,add(additive_inverse(X_10),X_10)) != X_10
| add(additive_inverse(X_10),add(X_10,X_10)) != add(X_10,add(additive_inverse(X_10),X_10))
| add(additive_inverse(X_10),add(X_10,X_10)) = X_10 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(additive_inverse(X_10),add(X_10,X_10)))),bind(Y0,$fot(add(X_10,add(additive_inverse(X_10),X_10)))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_2834,plain,
( add(X_10,add(additive_inverse(X_10),X_10)) != X_10
| add(additive_inverse(X_10),add(X_10,X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(add(additive_inverse(X_10),add(X_10,X_10)),add(X_10,add(additive_inverse(X_10),X_10))) )],[refute_0_2832,refute_0_2833]) ).
cnf(refute_0_2835,plain,
add(additive_inverse(X_10),add(X_10,X_10)) = X_10,
inference(resolve,[$cnf( $equal(add(X_10,add(additive_inverse(X_10),X_10)),X_10) )],[refute_0_2831,refute_0_2834]) ).
cnf(refute_0_2836,plain,
add(X,add(additive_inverse(add(X_95,X)),Z)) = add(add(X,additive_inverse(add(X_95,X))),Z),
inference(subst,[],[associativity_for_addition:[bind(Y,$fot(additive_inverse(add(X_95,X))))]]) ).
cnf(refute_0_2837,plain,
add(X,additive_inverse(add(X_95,X))) = additive_inverse(X_95),
inference(subst,[],[refute_0_2785:[bind(X_10,$fot(X_95)),bind(X_67,$fot(X))]]) ).
cnf(refute_0_2838,plain,
( add(X,add(additive_inverse(add(X_95,X)),Z)) != add(add(X,additive_inverse(add(X_95,X))),Z)
| add(X,additive_inverse(add(X_95,X))) != additive_inverse(X_95)
| add(X,add(additive_inverse(add(X_95,X)),Z)) = add(additive_inverse(X_95),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,add(additive_inverse(add(X_95,X)),Z)),add(add(X,additive_inverse(add(X_95,X))),Z)) ),[1,0],$fot(additive_inverse(X_95))]]) ).
cnf(refute_0_2839,plain,
( add(X,add(additive_inverse(add(X_95,X)),Z)) != add(add(X,additive_inverse(add(X_95,X))),Z)
| add(X,add(additive_inverse(add(X_95,X)),Z)) = add(additive_inverse(X_95),Z) ),
inference(resolve,[$cnf( $equal(add(X,additive_inverse(add(X_95,X))),additive_inverse(X_95)) )],[refute_0_2837,refute_0_2838]) ).
cnf(refute_0_2840,plain,
add(X,add(additive_inverse(add(X_95,X)),Z)) = add(additive_inverse(X_95),Z),
inference(resolve,[$cnf( $equal(add(X,add(additive_inverse(add(X_95,X)),Z)),add(add(X,additive_inverse(add(X_95,X))),Z)) )],[refute_0_2836,refute_0_2839]) ).
cnf(refute_0_2841,plain,
add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))) = add(additive_inverse(X_10),add(X_10,X_10)),
inference(subst,[],[refute_0_2840:[bind(X,$fot(X_10)),bind(Z,$fot(add(X_10,X_10))),bind(X_95,$fot(X_10))]]) ).
cnf(refute_0_2842,plain,
( add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))) != add(additive_inverse(X_10),add(X_10,X_10))
| add(additive_inverse(X_10),add(X_10,X_10)) != X_10
| add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))) = X_10 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))))),bind(Y0,$fot(add(additive_inverse(X_10),add(X_10,X_10)))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_2843,plain,
( add(additive_inverse(X_10),add(X_10,X_10)) != X_10
| add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))) = X_10 ),
inference(resolve,[$cnf( $equal(add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))),add(additive_inverse(X_10),add(X_10,X_10))) )],[refute_0_2841,refute_0_2842]) ).
cnf(refute_0_2844,plain,
add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))) = X_10,
inference(resolve,[$cnf( $equal(add(additive_inverse(X_10),add(X_10,X_10)),X_10) )],[refute_0_2835,refute_0_2843]) ).
cnf(refute_0_2845,plain,
add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))) = add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))),
inference(subst,[],[refute_0_343:[bind(X_6,$fot(X_10)),bind(X_7,$fot(additive_inverse(add(X_10,X_10)))),bind(X_8,$fot(add(X_10,X_10)))]]) ).
cnf(refute_0_2846,plain,
( add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))) != X_10
| add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))) != add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10)))
| add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))) = X_10 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))))),bind(Y0,$fot(add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_2847,plain,
( add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))) != X_10
| add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))) = X_10 ),
inference(resolve,[$cnf( $equal(add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))),add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10)))) )],[refute_0_2845,refute_0_2846]) ).
cnf(refute_0_2848,plain,
add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))) = X_10,
inference(resolve,[$cnf( $equal(add(X_10,add(additive_inverse(add(X_10,X_10)),add(X_10,X_10))),X_10) )],[refute_0_2844,refute_0_2847]) ).
cnf(refute_0_2849,plain,
add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) = add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))),
inference(subst,[],[refute_0_9:[bind(X,$fot(additive_inverse(add(X_10,X_10)))),bind(Y,$fot(add(X_10,add(X_10,X_10))))]]) ).
cnf(refute_0_2850,plain,
( add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) != add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10)))
| add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))) != X_10
| add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) = X_10 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))))),bind(Y0,$fot(add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_2851,plain,
( add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))) != X_10
| add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) = X_10 ),
inference(resolve,[$cnf( $equal(add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))),add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10)))) )],[refute_0_2849,refute_0_2850]) ).
cnf(refute_0_2852,plain,
add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) = X_10,
inference(resolve,[$cnf( $equal(add(additive_inverse(add(X_10,X_10)),add(X_10,add(X_10,X_10))),X_10) )],[refute_0_2848,refute_0_2851]) ).
cnf(refute_0_2853,plain,
( add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) != X_10
| add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) != additive_inverse(X_10)
| X_10 = additive_inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))),additive_inverse(X_10)) ),[0],$fot(X_10)]]) ).
cnf(refute_0_2854,plain,
( add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))) != additive_inverse(X_10)
| X_10 = additive_inverse(X_10) ),
inference(resolve,[$cnf( $equal(add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))),X_10) )],[refute_0_2852,refute_0_2853]) ).
cnf(refute_0_2855,plain,
X_10 = additive_inverse(X_10),
inference(resolve,[$cnf( $equal(add(add(X_10,add(X_10,X_10)),additive_inverse(add(X_10,X_10))),additive_inverse(X_10)) )],[refute_0_2824,refute_0_2854]) ).
cnf(refute_0_2856,plain,
( X_10 != additive_inverse(X_10)
| additive_inverse(X_10) = X_10 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_10)),bind(Y0,$fot(additive_inverse(X_10)))]]) ).
cnf(refute_0_2857,plain,
additive_inverse(X_10) = X_10,
inference(resolve,[$cnf( $equal(X_10,additive_inverse(X_10)) )],[refute_0_2855,refute_0_2856]) ).
cnf(refute_0_2858,plain,
additive_inverse(X) = X,
inference(subst,[],[refute_0_2857:[bind(X_10,$fot(X))]]) ).
cnf(refute_0_2859,plain,
add(X,additive_inverse(X)) = add(X,additive_inverse(X)),
introduced(tautology,[refl,[$fot(add(X,additive_inverse(X)))]]) ).
cnf(refute_0_2860,plain,
( add(X,additive_inverse(X)) != add(X,additive_inverse(X))
| additive_inverse(X) != X
| add(X,additive_inverse(X)) = add(X,X) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,additive_inverse(X)),add(X,additive_inverse(X))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_2861,plain,
( additive_inverse(X) != X
| add(X,additive_inverse(X)) = add(X,X) ),
inference(resolve,[$cnf( $equal(add(X,additive_inverse(X)),add(X,additive_inverse(X))) )],[refute_0_2859,refute_0_2860]) ).
cnf(refute_0_2862,plain,
add(X,additive_inverse(X)) = add(X,X),
inference(resolve,[$cnf( $equal(additive_inverse(X),X) )],[refute_0_2858,refute_0_2861]) ).
cnf(refute_0_2863,plain,
( add(X,additive_inverse(X)) != add(X,X)
| add(X,additive_inverse(X)) != additive_identity
| add(X,X) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(X,additive_inverse(X)),additive_identity) ),[0],$fot(add(X,X))]]) ).
cnf(refute_0_2864,plain,
( add(X,additive_inverse(X)) != additive_identity
| add(X,X) = additive_identity ),
inference(resolve,[$cnf( $equal(add(X,additive_inverse(X)),add(X,X)) )],[refute_0_2862,refute_0_2863]) ).
cnf(refute_0_2865,plain,
add(X,X) = additive_identity,
inference(resolve,[$cnf( $equal(add(X,additive_inverse(X)),additive_identity) )],[right_additive_inverse,refute_0_2864]) ).
cnf(refute_0_2866,plain,
add(X_31,X_31) = additive_identity,
inference(subst,[],[refute_0_2865:[bind(X,$fot(X_31))]]) ).
cnf(refute_0_2867,plain,
multiply(X_31,add(X_31,X_31)) = multiply(X_31,add(X_31,X_31)),
introduced(tautology,[refl,[$fot(multiply(X_31,add(X_31,X_31)))]]) ).
cnf(refute_0_2868,plain,
( multiply(X_31,add(X_31,X_31)) != multiply(X_31,add(X_31,X_31))
| add(X_31,X_31) != additive_identity
| multiply(X_31,add(X_31,X_31)) = multiply(X_31,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,add(X_31,X_31)),multiply(X_31,add(X_31,X_31))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2869,plain,
( add(X_31,X_31) != additive_identity
| multiply(X_31,add(X_31,X_31)) = multiply(X_31,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_31,add(X_31,X_31)),multiply(X_31,add(X_31,X_31))) )],[refute_0_2867,refute_0_2868]) ).
cnf(refute_0_2870,plain,
multiply(X_31,add(X_31,X_31)) = multiply(X_31,additive_identity),
inference(resolve,[$cnf( $equal(add(X_31,X_31),additive_identity) )],[refute_0_2866,refute_0_2869]) ).
cnf(refute_0_2871,plain,
( multiply(X_31,add(X_31,X_31)) != multiply(X_31,additive_identity)
| multiply(X_31,add(X_31,X_31)) != add(X_31,X_31)
| multiply(X_31,additive_identity) = add(X_31,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,add(X_31,X_31)),add(X_31,X_31)) ),[0],$fot(multiply(X_31,additive_identity))]]) ).
cnf(refute_0_2872,plain,
( multiply(X_31,add(X_31,X_31)) != add(X_31,X_31)
| multiply(X_31,additive_identity) = add(X_31,X_31) ),
inference(resolve,[$cnf( $equal(multiply(X_31,add(X_31,X_31)),multiply(X_31,additive_identity)) )],[refute_0_2870,refute_0_2871]) ).
cnf(refute_0_2873,plain,
( multiply(X_31,additive_identity) != add(X_31,X_31)
| add(X_31,X_31) != additive_identity
| multiply(X_31,additive_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_31,additive_identity),additive_identity) ),[0],$fot(add(X_31,X_31))]]) ).
cnf(refute_0_2874,plain,
( multiply(X_31,additive_identity) != add(X_31,X_31)
| multiply(X_31,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(add(X_31,X_31),additive_identity) )],[refute_0_2866,refute_0_2873]) ).
cnf(refute_0_2875,plain,
( multiply(X_31,add(X_31,X_31)) != add(X_31,X_31)
| multiply(X_31,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_31,additive_identity),add(X_31,X_31)) )],[refute_0_2872,refute_0_2874]) ).
cnf(refute_0_2876,plain,
multiply(X_31,additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(X_31,add(X_31,X_31)),add(X_31,X_31)) )],[refute_0_359,refute_0_2875]) ).
cnf(refute_0_2877,plain,
multiply(b,additive_identity) = additive_identity,
inference(subst,[],[refute_0_2876:[bind(X_31,$fot(b))]]) ).
cnf(refute_0_2878,plain,
add(c,multiply(b,additive_identity)) = add(c,multiply(b,additive_identity)),
introduced(tautology,[refl,[$fot(add(c,multiply(b,additive_identity)))]]) ).
cnf(refute_0_2879,plain,
( multiply(b,additive_identity) != additive_identity
| add(c,multiply(b,additive_identity)) != add(c,multiply(b,additive_identity))
| add(c,multiply(b,additive_identity)) = add(c,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(c,multiply(b,additive_identity)),add(c,multiply(b,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2880,plain,
( multiply(b,additive_identity) != additive_identity
| add(c,multiply(b,additive_identity)) = add(c,additive_identity) ),
inference(resolve,[$cnf( $equal(add(c,multiply(b,additive_identity)),add(c,multiply(b,additive_identity))) )],[refute_0_2878,refute_0_2879]) ).
cnf(refute_0_2881,plain,
add(c,multiply(b,additive_identity)) = add(c,additive_identity),
inference(resolve,[$cnf( $equal(multiply(b,additive_identity),additive_identity) )],[refute_0_2877,refute_0_2880]) ).
cnf(refute_0_2882,plain,
( add(c,multiply(b,additive_identity)) != add(c,additive_identity)
| add(c,additive_identity) != c
| add(c,multiply(b,additive_identity)) = c ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(c,multiply(b,additive_identity)))),bind(Y0,$fot(add(c,additive_identity))),bind(Z0,$fot(c))]]) ).
cnf(refute_0_2883,plain,
( add(c,additive_identity) != c
| add(c,multiply(b,additive_identity)) = c ),
inference(resolve,[$cnf( $equal(add(c,multiply(b,additive_identity)),add(c,additive_identity)) )],[refute_0_2881,refute_0_2882]) ).
cnf(refute_0_2884,plain,
add(c,multiply(b,additive_identity)) = c,
inference(resolve,[$cnf( $equal(add(c,additive_identity),c) )],[refute_0_261,refute_0_2883]) ).
cnf(refute_0_2885,plain,
( multiply(b,a) != add(c,multiply(b,additive_identity))
| add(c,multiply(b,additive_identity)) != c
| multiply(b,a) = c ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(b,a),c) ),[0],$fot(add(c,multiply(b,additive_identity)))]]) ).
cnf(refute_0_2886,plain,
( multiply(b,a) != add(c,multiply(b,additive_identity))
| multiply(b,a) = c ),
inference(resolve,[$cnf( $equal(add(c,multiply(b,additive_identity)),c) )],[refute_0_2884,refute_0_2885]) ).
cnf(refute_0_2887,plain,
multiply(b,a) = c,
inference(resolve,[$cnf( $equal(multiply(b,a),add(c,multiply(b,additive_identity))) )],[refute_0_2763,refute_0_2886]) ).
cnf(refute_0_2888,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(b,a),c) )],[refute_0_2887,prove_commutativity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG008-7 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 11:33:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.37/2.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.37/2.57
% 2.37/2.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.66/2.91
%------------------------------------------------------------------------------