%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:45:57 EDT 2022
% Result : Unsatisfiable 2.17s 2.41s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 99
% Number of leaves : 198
% Syntax : Number of clauses : 886 ( 452 unt; 0 nHn; 430 RR)
% Number of literals : 1509 (1508 equ; 625 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 1957 ( 82 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(l1,axiom,
add(X,multiply(Y,multiply(X,Z))) = X ).
cnf(l3,axiom,
add(add(multiply(X,Y),multiply(Y,Z)),Y) = Y ).
cnf(b1,axiom,
multiply(add(X,Y),add(X,inverse(Y))) = X ).
cnf(l2,axiom,
multiply(X,add(Y,add(X,Z))) = X ).
cnf(b2,axiom,
add(multiply(X,Y),multiply(X,inverse(Y))) = X ).
cnf(commutativity_of_add,axiom,
add(X,Y) = add(Y,X) ).
cnf(commutativity_of_multiply,axiom,
multiply(X,Y) = multiply(Y,X) ).
cnf(associativity_of_add,axiom,
add(add(X,Y),Z) = add(X,add(Y,Z)) ).
cnf(associativity_of_multiply,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ).
cnf(prove_equal_inverse,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)) ).
cnf(refute_0_0,plain,
add(multiply(X_23,X_24),multiply(X_23,inverse(X_24))) = X_23,
inference(subst,[],[b2:[bind(X,$fot(X_23)),bind(Y,$fot(X_24))]]) ).
cnf(refute_0_1,plain,
multiply(X_24,X_23) = multiply(X_23,X_24),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_24)),bind(Y,$fot(X_23))]]) ).
cnf(refute_0_2,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_3,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_4,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( multiply(X_24,X_23) != multiply(X_23,X_24)
| multiply(X_23,X_24) = multiply(X_24,X_23) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X_24,X_23))),bind(Y0,$fot(multiply(X_23,X_24)))]]) ).
cnf(refute_0_6,plain,
multiply(X_23,X_24) = multiply(X_24,X_23),
inference(resolve,[$cnf( $equal(multiply(X_24,X_23),multiply(X_23,X_24)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( multiply(X_23,X_24) != multiply(X_24,X_23)
| add(multiply(X_23,X_24),multiply(X_23,inverse(X_24))) != X_23
| add(multiply(X_24,X_23),multiply(X_23,inverse(X_24))) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_23,X_24),multiply(X_23,inverse(X_24))),X_23) ),[0,0],$fot(multiply(X_24,X_23))]]) ).
cnf(refute_0_8,plain,
( add(multiply(X_23,X_24),multiply(X_23,inverse(X_24))) != X_23
| add(multiply(X_24,X_23),multiply(X_23,inverse(X_24))) = X_23 ),
inference(resolve,[$cnf( $equal(multiply(X_23,X_24),multiply(X_24,X_23)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
add(multiply(X_24,X_23),multiply(X_23,inverse(X_24))) = X_23,
inference(resolve,[$cnf( $equal(add(multiply(X_23,X_24),multiply(X_23,inverse(X_24))),X_23) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
add(multiply(add(X_15,X_14),add(X_14,inverse(X_15))),multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) = add(X_14,inverse(X_15)),
inference(subst,[],[refute_0_9:[bind(X_23,$fot(add(X_14,inverse(X_15)))),bind(X_24,$fot(add(X_15,X_14)))]]) ).
cnf(refute_0_11,plain,
multiply(add(X_14,X_15),add(X_14,inverse(X_15))) = X_14,
inference(subst,[],[b1:[bind(X,$fot(X_14)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_12,plain,
add(X_15,X_14) = add(X_14,X_15),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_15)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_13,plain,
( add(X_15,X_14) != add(X_14,X_15)
| add(X_14,X_15) = add(X_15,X_14) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_15,X_14))),bind(Y0,$fot(add(X_14,X_15)))]]) ).
cnf(refute_0_14,plain,
add(X_14,X_15) = add(X_15,X_14),
inference(resolve,[$cnf( $equal(add(X_15,X_14),add(X_14,X_15)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( multiply(add(X_14,X_15),add(X_14,inverse(X_15))) != X_14
| add(X_14,X_15) != add(X_15,X_14)
| multiply(add(X_15,X_14),add(X_14,inverse(X_15))) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_14,X_15),add(X_14,inverse(X_15))),X_14) ),[0,0],$fot(add(X_15,X_14))]]) ).
cnf(refute_0_16,plain,
( multiply(add(X_14,X_15),add(X_14,inverse(X_15))) != X_14
| multiply(add(X_15,X_14),add(X_14,inverse(X_15))) = X_14 ),
inference(resolve,[$cnf( $equal(add(X_14,X_15),add(X_15,X_14)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
multiply(add(X_15,X_14),add(X_14,inverse(X_15))) = X_14,
inference(resolve,[$cnf( $equal(multiply(add(X_14,X_15),add(X_14,inverse(X_15))),X_14) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
( multiply(add(X_15,X_14),add(X_14,inverse(X_15))) != X_14
| add(multiply(add(X_15,X_14),add(X_14,inverse(X_15))),multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) != add(X_14,inverse(X_15))
| add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) = add(X_14,inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_15,X_14),add(X_14,inverse(X_15))),multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))),add(X_14,inverse(X_15))) ),[0,0],$fot(X_14)]]) ).
cnf(refute_0_19,plain,
( add(multiply(add(X_15,X_14),add(X_14,inverse(X_15))),multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) != add(X_14,inverse(X_15))
| add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) = add(X_14,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_15,X_14),add(X_14,inverse(X_15))),X_14) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) = add(X_14,inverse(X_15)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_15,X_14),add(X_14,inverse(X_15))),multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))),add(X_14,inverse(X_15))) )],[refute_0_10,refute_0_19]) ).
cnf(refute_0_21,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_22,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[commutativity_of_multiply,refute_0_21]) ).
cnf(refute_0_23,plain,
multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14))) = multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15))),
inference(subst,[],[refute_0_22:[bind(X,$fot(inverse(add(X_15,X_14)))),bind(Y,$fot(add(X_14,inverse(X_15))))]]) ).
cnf(refute_0_24,plain,
add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) = add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))),
introduced(tautology,[refl,[$fot(add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))))]]) ).
cnf(refute_0_25,plain,
( multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14))) != multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))
| add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) != add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14))))
| add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) = add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))),add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14))))) ),[1,1],$fot(multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15))))]]) ).
cnf(refute_0_26,plain,
( multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14))) != multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))
| add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) = add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))) ),
inference(resolve,[$cnf( $equal(add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))),add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14))))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) = add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))),
inference(resolve,[$cnf( $equal(multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14))),multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
( add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) != add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15))))
| add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) != add(X_14,inverse(X_15))
| add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))) = add(X_14,inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))),add(X_14,inverse(X_15))) ),[0],$fot(add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))))]]) ).
cnf(refute_0_29,plain,
( add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))) != add(X_14,inverse(X_15))
| add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))) = add(X_14,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))),add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15))))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
add(X_14,multiply(inverse(add(X_15,X_14)),add(X_14,inverse(X_15)))) = add(X_14,inverse(X_15)),
inference(resolve,[$cnf( $equal(add(X_14,multiply(add(X_14,inverse(X_15)),inverse(add(X_15,X_14)))),add(X_14,inverse(X_15))) )],[refute_0_20,refute_0_29]) ).
cnf(refute_0_31,plain,
add(add(X_15,X_140),multiply(inverse(add(X_140,add(X_15,X_140))),add(add(X_15,X_140),inverse(X_140)))) = add(add(X_15,X_140),inverse(X_140)),
inference(subst,[],[refute_0_30:[bind(X_14,$fot(add(X_15,X_140))),bind(X_15,$fot(X_140))]]) ).
cnf(refute_0_32,plain,
( add(X,Y) != add(Y,X)
| add(Y,X) = add(X,Y) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).
cnf(refute_0_33,plain,
add(Y,X) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_of_add,refute_0_32]) ).
cnf(refute_0_34,plain,
add(multiply(Y,Z),Y) = add(Y,multiply(Y,Z)),
inference(subst,[],[refute_0_33:[bind(X,$fot(Y)),bind(Y,$fot(multiply(Y,Z)))]]) ).
cnf(refute_0_35,plain,
add(multiply(X,Y),add(multiply(Y,Z),Y)) = add(multiply(X,Y),add(multiply(Y,Z),Y)),
introduced(tautology,[refl,[$fot(add(multiply(X,Y),add(multiply(Y,Z),Y)))]]) ).
cnf(refute_0_36,plain,
( add(multiply(X,Y),add(multiply(Y,Z),Y)) != add(multiply(X,Y),add(multiply(Y,Z),Y))
| add(multiply(Y,Z),Y) != add(Y,multiply(Y,Z))
| add(multiply(X,Y),add(multiply(Y,Z),Y)) = add(multiply(X,Y),add(Y,multiply(Y,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),add(multiply(Y,Z),Y)),add(multiply(X,Y),add(multiply(Y,Z),Y))) ),[1,1],$fot(add(Y,multiply(Y,Z)))]]) ).
cnf(refute_0_37,plain,
( add(multiply(Y,Z),Y) != add(Y,multiply(Y,Z))
| add(multiply(X,Y),add(multiply(Y,Z),Y)) = add(multiply(X,Y),add(Y,multiply(Y,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),add(multiply(Y,Z),Y)),add(multiply(X,Y),add(multiply(Y,Z),Y))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
add(multiply(X,Y),add(multiply(Y,Z),Y)) = add(multiply(X,Y),add(Y,multiply(Y,Z))),
inference(resolve,[$cnf( $equal(add(multiply(Y,Z),Y),add(Y,multiply(Y,Z))) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
add(add(multiply(X,Y),multiply(Y,Z)),Y) = add(multiply(X,Y),add(multiply(Y,Z),Y)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(multiply(X,Y))),bind(Y,$fot(multiply(Y,Z))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_40,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_41,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_4,refute_0_40]) ).
cnf(refute_0_42,plain,
( add(multiply(X,Y),add(multiply(Y,Z),Y)) != add(multiply(X,Y),add(Y,multiply(Y,Z)))
| add(add(multiply(X,Y),multiply(Y,Z)),Y) != add(multiply(X,Y),add(multiply(Y,Z),Y))
| add(add(multiply(X,Y),multiply(Y,Z)),Y) = add(multiply(X,Y),add(Y,multiply(Y,Z))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(add(multiply(X,Y),multiply(Y,Z)),Y))),bind(Y0,$fot(add(multiply(X,Y),add(multiply(Y,Z),Y)))),bind(Z0,$fot(add(multiply(X,Y),add(Y,multiply(Y,Z)))))]]) ).
cnf(refute_0_43,plain,
( add(multiply(X,Y),add(multiply(Y,Z),Y)) != add(multiply(X,Y),add(Y,multiply(Y,Z)))
| add(add(multiply(X,Y),multiply(Y,Z)),Y) = add(multiply(X,Y),add(Y,multiply(Y,Z))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X,Y),multiply(Y,Z)),Y),add(multiply(X,Y),add(multiply(Y,Z),Y))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
add(add(multiply(X,Y),multiply(Y,Z)),Y) = add(multiply(X,Y),add(Y,multiply(Y,Z))),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),add(multiply(Y,Z),Y)),add(multiply(X,Y),add(Y,multiply(Y,Z)))) )],[refute_0_38,refute_0_43]) ).
cnf(refute_0_45,plain,
( add(add(multiply(X,Y),multiply(Y,Z)),Y) != Y
| add(add(multiply(X,Y),multiply(Y,Z)),Y) != add(multiply(X,Y),add(Y,multiply(Y,Z)))
| add(multiply(X,Y),add(Y,multiply(Y,Z))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(X,Y),multiply(Y,Z)),Y),Y) ),[0],$fot(add(multiply(X,Y),add(Y,multiply(Y,Z))))]]) ).
cnf(refute_0_46,plain,
( add(add(multiply(X,Y),multiply(Y,Z)),Y) != Y
| add(multiply(X,Y),add(Y,multiply(Y,Z))) = Y ),
inference(resolve,[$cnf( $equal(add(add(multiply(X,Y),multiply(Y,Z)),Y),add(multiply(X,Y),add(Y,multiply(Y,Z)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
add(multiply(X,Y),add(Y,multiply(Y,Z))) = Y,
inference(resolve,[$cnf( $equal(add(add(multiply(X,Y),multiply(Y,Z)),Y),Y) )],[l3,refute_0_46]) ).
cnf(refute_0_48,plain,
add(multiply(X_7,X_8),add(X_8,multiply(X_8,multiply(X_8,Z)))) = X_8,
inference(subst,[],[refute_0_47:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(multiply(X_8,Z)))]]) ).
cnf(refute_0_49,plain,
add(X_8,multiply(X_8,multiply(X_8,Z))) = X_8,
inference(subst,[],[l1:[bind(X,$fot(X_8)),bind(Y,$fot(X_8))]]) ).
cnf(refute_0_50,plain,
( add(X_8,multiply(X_8,multiply(X_8,Z))) != X_8
| add(multiply(X_7,X_8),add(X_8,multiply(X_8,multiply(X_8,Z)))) != X_8
| add(multiply(X_7,X_8),X_8) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_7,X_8),add(X_8,multiply(X_8,multiply(X_8,Z)))),X_8) ),[0,1],$fot(X_8)]]) ).
cnf(refute_0_51,plain,
( add(multiply(X_7,X_8),add(X_8,multiply(X_8,multiply(X_8,Z)))) != X_8
| add(multiply(X_7,X_8),X_8) = X_8 ),
inference(resolve,[$cnf( $equal(add(X_8,multiply(X_8,multiply(X_8,Z))),X_8) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
add(multiply(X_7,X_8),X_8) = X_8,
inference(resolve,[$cnf( $equal(add(multiply(X_7,X_8),add(X_8,multiply(X_8,multiply(X_8,Z)))),X_8) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
add(multiply(X_7,X_8),X_8) = add(X_8,multiply(X_7,X_8)),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_8)),bind(Y,$fot(multiply(X_7,X_8)))]]) ).
cnf(refute_0_54,plain,
( add(multiply(X_7,X_8),X_8) != X_8
| add(multiply(X_7,X_8),X_8) != add(X_8,multiply(X_7,X_8))
| add(X_8,multiply(X_7,X_8)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_7,X_8),X_8),X_8) ),[0],$fot(add(X_8,multiply(X_7,X_8)))]]) ).
cnf(refute_0_55,plain,
( add(multiply(X_7,X_8),X_8) != X_8
| add(X_8,multiply(X_7,X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(add(multiply(X_7,X_8),X_8),add(X_8,multiply(X_7,X_8))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
add(X_8,multiply(X_7,X_8)) = X_8,
inference(resolve,[$cnf( $equal(add(multiply(X_7,X_8),X_8),X_8) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
add(X_11,multiply(X_10,X_11)) = X_11,
inference(subst,[],[refute_0_56:[bind(X_7,$fot(X_10)),bind(X_8,$fot(X_11))]]) ).
cnf(refute_0_58,plain,
multiply(X_11,X_10) = multiply(X_10,X_11),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_11)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_59,plain,
( multiply(X_11,X_10) != multiply(X_10,X_11)
| multiply(X_10,X_11) = multiply(X_11,X_10) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X_11,X_10))),bind(Y0,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_60,plain,
multiply(X_10,X_11) = multiply(X_11,X_10),
inference(resolve,[$cnf( $equal(multiply(X_11,X_10),multiply(X_10,X_11)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiply(X_10,X_11) != multiply(X_11,X_10)
| add(X_11,multiply(X_10,X_11)) != X_11
| add(X_11,multiply(X_11,X_10)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_11,multiply(X_10,X_11)),X_11) ),[0,1],$fot(multiply(X_11,X_10))]]) ).
cnf(refute_0_62,plain,
( add(X_11,multiply(X_10,X_11)) != X_11
| add(X_11,multiply(X_11,X_10)) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(X_10,X_11),multiply(X_11,X_10)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
add(X_11,multiply(X_11,X_10)) = X_11,
inference(resolve,[$cnf( $equal(add(X_11,multiply(X_10,X_11)),X_11) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
add(add(X_14,X_15),multiply(add(X_14,X_15),add(X_14,inverse(X_15)))) = add(X_14,X_15),
inference(subst,[],[refute_0_63:[bind(X_10,$fot(add(X_14,inverse(X_15)))),bind(X_11,$fot(add(X_14,X_15)))]]) ).
cnf(refute_0_65,plain,
( multiply(add(X_14,X_15),add(X_14,inverse(X_15))) != X_14
| add(add(X_14,X_15),multiply(add(X_14,X_15),add(X_14,inverse(X_15)))) != add(X_14,X_15)
| add(add(X_14,X_15),X_14) = add(X_14,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_14,X_15),multiply(add(X_14,X_15),add(X_14,inverse(X_15)))),add(X_14,X_15)) ),[0,1],$fot(X_14)]]) ).
cnf(refute_0_66,plain,
( add(add(X_14,X_15),multiply(add(X_14,X_15),add(X_14,inverse(X_15)))) != add(X_14,X_15)
| add(add(X_14,X_15),X_14) = add(X_14,X_15) ),
inference(resolve,[$cnf( $equal(multiply(add(X_14,X_15),add(X_14,inverse(X_15))),X_14) )],[refute_0_11,refute_0_65]) ).
cnf(refute_0_67,plain,
add(add(X_14,X_15),X_14) = add(X_14,X_15),
inference(resolve,[$cnf( $equal(add(add(X_14,X_15),multiply(add(X_14,X_15),add(X_14,inverse(X_15)))),add(X_14,X_15)) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
add(add(X_14,X_15),X_14) = add(X_14,add(X_15,X_14)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_14)),bind(Y,$fot(X_15)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_69,plain,
( add(add(X_14,X_15),X_14) != add(X_14,X_15)
| add(add(X_14,X_15),X_14) != add(X_14,add(X_15,X_14))
| add(X_14,add(X_15,X_14)) = add(X_14,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_14,X_15),X_14),add(X_14,X_15)) ),[0],$fot(add(X_14,add(X_15,X_14)))]]) ).
cnf(refute_0_70,plain,
( add(add(X_14,X_15),X_14) != add(X_14,X_15)
| add(X_14,add(X_15,X_14)) = add(X_14,X_15) ),
inference(resolve,[$cnf( $equal(add(add(X_14,X_15),X_14),add(X_14,add(X_15,X_14))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
add(X_14,add(X_15,X_14)) = add(X_14,X_15),
inference(resolve,[$cnf( $equal(add(add(X_14,X_15),X_14),add(X_14,X_15)) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
add(X_140,add(X_15,X_140)) = add(X_140,X_15),
inference(subst,[],[refute_0_71:[bind(X_14,$fot(X_140))]]) ).
cnf(refute_0_73,plain,
( add(X_140,add(X_15,X_140)) != add(X_140,X_15)
| add(add(X_15,X_140),multiply(inverse(add(X_140,add(X_15,X_140))),add(add(X_15,X_140),inverse(X_140)))) != add(add(X_15,X_140),inverse(X_140))
| add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(add(X_15,X_140),inverse(X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_15,X_140),multiply(inverse(add(X_140,add(X_15,X_140))),add(add(X_15,X_140),inverse(X_140)))),add(add(X_15,X_140),inverse(X_140))) ),[0,1,0,0],$fot(add(X_140,X_15))]]) ).
cnf(refute_0_74,plain,
( add(add(X_15,X_140),multiply(inverse(add(X_140,add(X_15,X_140))),add(add(X_15,X_140),inverse(X_140)))) != add(add(X_15,X_140),inverse(X_140))
| add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(add(X_15,X_140),inverse(X_140)) ),
inference(resolve,[$cnf( $equal(add(X_140,add(X_15,X_140)),add(X_140,X_15)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(add(X_15,X_140),inverse(X_140)),
inference(resolve,[$cnf( $equal(add(add(X_15,X_140),multiply(inverse(add(X_140,add(X_15,X_140))),add(add(X_15,X_140),inverse(X_140)))),add(add(X_15,X_140),inverse(X_140))) )],[refute_0_31,refute_0_74]) ).
cnf(refute_0_76,plain,
add(multiply(X_39,add(X_39,Z)),multiply(add(X_39,Z),inverse(X_39))) = add(X_39,Z),
inference(subst,[],[refute_0_9:[bind(X_23,$fot(add(X_39,Z))),bind(X_24,$fot(X_39))]]) ).
cnf(refute_0_77,plain,
multiply(X,add(add(X,Z),add(X,Z))) = X,
inference(subst,[],[l2:[bind(Y,$fot(add(X,Z)))]]) ).
cnf(refute_0_78,plain,
add(X_11,multiply(X_11,add(X_17,add(X_11,X_18)))) = X_11,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(add(X_17,add(X_11,X_18))))]]) ).
cnf(refute_0_79,plain,
multiply(X_11,add(X_17,add(X_11,X_18))) = X_11,
inference(subst,[],[l2:[bind(X,$fot(X_11)),bind(Y,$fot(X_17)),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_80,plain,
( multiply(X_11,add(X_17,add(X_11,X_18))) != X_11
| add(X_11,multiply(X_11,add(X_17,add(X_11,X_18)))) != X_11
| add(X_11,X_11) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_11,multiply(X_11,add(X_17,add(X_11,X_18)))),X_11) ),[0,1],$fot(X_11)]]) ).
cnf(refute_0_81,plain,
( add(X_11,multiply(X_11,add(X_17,add(X_11,X_18)))) != X_11
| add(X_11,X_11) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(X_11,add(X_17,add(X_11,X_18))),X_11) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
add(X_11,X_11) = X_11,
inference(resolve,[$cnf( $equal(add(X_11,multiply(X_11,add(X_17,add(X_11,X_18)))),X_11) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
add(add(X,Z),add(X,Z)) = add(X,Z),
inference(subst,[],[refute_0_82:[bind(X_11,$fot(add(X,Z)))]]) ).
cnf(refute_0_84,plain,
( multiply(X,add(add(X,Z),add(X,Z))) != X
| add(add(X,Z),add(X,Z)) != add(X,Z)
| multiply(X,add(X,Z)) = X ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(add(X,Z),add(X,Z))),X) ),[0,1],$fot(add(X,Z))]]) ).
cnf(refute_0_85,plain,
( multiply(X,add(add(X,Z),add(X,Z))) != X
| multiply(X,add(X,Z)) = X ),
inference(resolve,[$cnf( $equal(add(add(X,Z),add(X,Z)),add(X,Z)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(X,add(X,Z)) = X,
inference(resolve,[$cnf( $equal(multiply(X,add(add(X,Z),add(X,Z))),X) )],[refute_0_77,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(X_39,add(X_39,Z)) = X_39,
inference(subst,[],[refute_0_86:[bind(X,$fot(X_39))]]) ).
cnf(refute_0_88,plain,
( multiply(X_39,add(X_39,Z)) != X_39
| add(multiply(X_39,add(X_39,Z)),multiply(add(X_39,Z),inverse(X_39))) != add(X_39,Z)
| add(X_39,multiply(add(X_39,Z),inverse(X_39))) = add(X_39,Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_39,add(X_39,Z)),multiply(add(X_39,Z),inverse(X_39))),add(X_39,Z)) ),[0,0],$fot(X_39)]]) ).
cnf(refute_0_89,plain,
( add(multiply(X_39,add(X_39,Z)),multiply(add(X_39,Z),inverse(X_39))) != add(X_39,Z)
| add(X_39,multiply(add(X_39,Z),inverse(X_39))) = add(X_39,Z) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_39,Z)),X_39) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
add(X_39,multiply(add(X_39,Z),inverse(X_39))) = add(X_39,Z),
inference(resolve,[$cnf( $equal(add(multiply(X_39,add(X_39,Z)),multiply(add(X_39,Z),inverse(X_39))),add(X_39,Z)) )],[refute_0_76,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(add(X_39,Z),inverse(X_39)) = multiply(inverse(X_39),add(X_39,Z)),
inference(subst,[],[refute_0_22:[bind(X,$fot(inverse(X_39))),bind(Y,$fot(add(X_39,Z)))]]) ).
cnf(refute_0_92,plain,
add(X_39,multiply(add(X_39,Z),inverse(X_39))) = add(X_39,multiply(add(X_39,Z),inverse(X_39))),
introduced(tautology,[refl,[$fot(add(X_39,multiply(add(X_39,Z),inverse(X_39))))]]) ).
cnf(refute_0_93,plain,
( multiply(add(X_39,Z),inverse(X_39)) != multiply(inverse(X_39),add(X_39,Z))
| add(X_39,multiply(add(X_39,Z),inverse(X_39))) != add(X_39,multiply(add(X_39,Z),inverse(X_39)))
| add(X_39,multiply(add(X_39,Z),inverse(X_39))) = add(X_39,multiply(inverse(X_39),add(X_39,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_39,multiply(add(X_39,Z),inverse(X_39))),add(X_39,multiply(add(X_39,Z),inverse(X_39)))) ),[1,1],$fot(multiply(inverse(X_39),add(X_39,Z)))]]) ).
cnf(refute_0_94,plain,
( multiply(add(X_39,Z),inverse(X_39)) != multiply(inverse(X_39),add(X_39,Z))
| add(X_39,multiply(add(X_39,Z),inverse(X_39))) = add(X_39,multiply(inverse(X_39),add(X_39,Z))) ),
inference(resolve,[$cnf( $equal(add(X_39,multiply(add(X_39,Z),inverse(X_39))),add(X_39,multiply(add(X_39,Z),inverse(X_39)))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
add(X_39,multiply(add(X_39,Z),inverse(X_39))) = add(X_39,multiply(inverse(X_39),add(X_39,Z))),
inference(resolve,[$cnf( $equal(multiply(add(X_39,Z),inverse(X_39)),multiply(inverse(X_39),add(X_39,Z))) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( add(X_39,multiply(add(X_39,Z),inverse(X_39))) != add(X_39,Z)
| add(X_39,multiply(add(X_39,Z),inverse(X_39))) != add(X_39,multiply(inverse(X_39),add(X_39,Z)))
| add(X_39,multiply(inverse(X_39),add(X_39,Z))) = add(X_39,Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_39,multiply(add(X_39,Z),inverse(X_39))),add(X_39,Z)) ),[0],$fot(add(X_39,multiply(inverse(X_39),add(X_39,Z))))]]) ).
cnf(refute_0_97,plain,
( add(X_39,multiply(add(X_39,Z),inverse(X_39))) != add(X_39,Z)
| add(X_39,multiply(inverse(X_39),add(X_39,Z))) = add(X_39,Z) ),
inference(resolve,[$cnf( $equal(add(X_39,multiply(add(X_39,Z),inverse(X_39))),add(X_39,multiply(inverse(X_39),add(X_39,Z)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
add(X_39,multiply(inverse(X_39),add(X_39,Z))) = add(X_39,Z),
inference(resolve,[$cnf( $equal(add(X_39,multiply(add(X_39,Z),inverse(X_39))),add(X_39,Z)) )],[refute_0_90,refute_0_97]) ).
cnf(refute_0_99,plain,
add(X_71,multiply(inverse(X_71),add(X_71,add(X_18,inverse(X_71))))) = add(X_71,add(X_18,inverse(X_71))),
inference(subst,[],[refute_0_98:[bind(Z,$fot(add(X_18,inverse(X_71)))),bind(X_39,$fot(X_71))]]) ).
cnf(refute_0_100,plain,
multiply(X_16,add(X_17,add(X_16,X_18))) = X_16,
inference(subst,[],[l2:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_101,plain,
add(X_18,X_16) = add(X_16,X_18),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_18)),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_102,plain,
( add(X_18,X_16) != add(X_16,X_18)
| add(X_16,X_18) = add(X_18,X_16) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_18,X_16))),bind(Y0,$fot(add(X_16,X_18)))]]) ).
cnf(refute_0_103,plain,
add(X_16,X_18) = add(X_18,X_16),
inference(resolve,[$cnf( $equal(add(X_18,X_16),add(X_16,X_18)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( multiply(X_16,add(X_17,add(X_16,X_18))) != X_16
| add(X_16,X_18) != add(X_18,X_16)
| multiply(X_16,add(X_17,add(X_18,X_16))) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_16,add(X_17,add(X_16,X_18))),X_16) ),[0,1,1],$fot(add(X_18,X_16))]]) ).
cnf(refute_0_105,plain,
( multiply(X_16,add(X_17,add(X_16,X_18))) != X_16
| multiply(X_16,add(X_17,add(X_18,X_16))) = X_16 ),
inference(resolve,[$cnf( $equal(add(X_16,X_18),add(X_18,X_16)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(X_16,add(X_17,add(X_18,X_16))) = X_16,
inference(resolve,[$cnf( $equal(multiply(X_16,add(X_17,add(X_16,X_18))),X_16) )],[refute_0_100,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(inverse(X_71),add(X_71,add(X_18,inverse(X_71)))) = inverse(X_71),
inference(subst,[],[refute_0_106:[bind(X_16,$fot(inverse(X_71))),bind(X_17,$fot(X_71))]]) ).
cnf(refute_0_108,plain,
( multiply(inverse(X_71),add(X_71,add(X_18,inverse(X_71)))) != inverse(X_71)
| add(X_71,multiply(inverse(X_71),add(X_71,add(X_18,inverse(X_71))))) != add(X_71,add(X_18,inverse(X_71)))
| add(X_71,inverse(X_71)) = add(X_71,add(X_18,inverse(X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_71,multiply(inverse(X_71),add(X_71,add(X_18,inverse(X_71))))),add(X_71,add(X_18,inverse(X_71)))) ),[0,1],$fot(inverse(X_71))]]) ).
cnf(refute_0_109,plain,
( add(X_71,multiply(inverse(X_71),add(X_71,add(X_18,inverse(X_71))))) != add(X_71,add(X_18,inverse(X_71)))
| add(X_71,inverse(X_71)) = add(X_71,add(X_18,inverse(X_71))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_71),add(X_71,add(X_18,inverse(X_71)))),inverse(X_71)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
add(X_71,inverse(X_71)) = add(X_71,add(X_18,inverse(X_71))),
inference(resolve,[$cnf( $equal(add(X_71,multiply(inverse(X_71),add(X_71,add(X_18,inverse(X_71))))),add(X_71,add(X_18,inverse(X_71)))) )],[refute_0_99,refute_0_109]) ).
cnf(refute_0_111,plain,
( add(X_71,inverse(X_71)) != add(X_71,add(X_18,inverse(X_71)))
| add(X_71,add(X_18,inverse(X_71))) = add(X_71,inverse(X_71)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_71,inverse(X_71)))),bind(Y0,$fot(add(X_71,add(X_18,inverse(X_71)))))]]) ).
cnf(refute_0_112,plain,
add(X_71,add(X_18,inverse(X_71))) = add(X_71,inverse(X_71)),
inference(resolve,[$cnf( $equal(add(X_71,inverse(X_71)),add(X_71,add(X_18,inverse(X_71)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
add(X_15,add(X_140,inverse(X_15))) = add(X_15,inverse(X_15)),
inference(subst,[],[refute_0_112:[bind(X_18,$fot(X_140)),bind(X_71,$fot(X_15))]]) ).
cnf(refute_0_114,plain,
add(add(X_14,X_15),multiply(Y,multiply(add(X_14,X_15),add(X_14,inverse(X_15))))) = add(X_14,X_15),
inference(subst,[],[l1:[bind(X,$fot(add(X_14,X_15))),bind(Z,$fot(add(X_14,inverse(X_15))))]]) ).
cnf(refute_0_115,plain,
( multiply(add(X_14,X_15),add(X_14,inverse(X_15))) != X_14
| add(add(X_14,X_15),multiply(Y,multiply(add(X_14,X_15),add(X_14,inverse(X_15))))) != add(X_14,X_15)
| add(add(X_14,X_15),multiply(Y,X_14)) = add(X_14,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_14,X_15),multiply(Y,multiply(add(X_14,X_15),add(X_14,inverse(X_15))))),add(X_14,X_15)) ),[0,1,1],$fot(X_14)]]) ).
cnf(refute_0_116,plain,
( add(add(X_14,X_15),multiply(Y,multiply(add(X_14,X_15),add(X_14,inverse(X_15))))) != add(X_14,X_15)
| add(add(X_14,X_15),multiply(Y,X_14)) = add(X_14,X_15) ),
inference(resolve,[$cnf( $equal(multiply(add(X_14,X_15),add(X_14,inverse(X_15))),X_14) )],[refute_0_11,refute_0_115]) ).
cnf(refute_0_117,plain,
add(add(X_14,X_15),multiply(Y,X_14)) = add(X_14,X_15),
inference(resolve,[$cnf( $equal(add(add(X_14,X_15),multiply(Y,multiply(add(X_14,X_15),add(X_14,inverse(X_15))))),add(X_14,X_15)) )],[refute_0_114,refute_0_116]) ).
cnf(refute_0_118,plain,
add(add(X_14,X_15),multiply(Y,X_14)) = add(X_14,add(X_15,multiply(Y,X_14))),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_14)),bind(Y,$fot(X_15)),bind(Z,$fot(multiply(Y,X_14)))]]) ).
cnf(refute_0_119,plain,
( add(add(X_14,X_15),multiply(Y,X_14)) != add(X_14,X_15)
| add(add(X_14,X_15),multiply(Y,X_14)) != add(X_14,add(X_15,multiply(Y,X_14)))
| add(X_14,add(X_15,multiply(Y,X_14))) = add(X_14,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_14,X_15),multiply(Y,X_14)),add(X_14,X_15)) ),[0],$fot(add(X_14,add(X_15,multiply(Y,X_14))))]]) ).
cnf(refute_0_120,plain,
( add(add(X_14,X_15),multiply(Y,X_14)) != add(X_14,X_15)
| add(X_14,add(X_15,multiply(Y,X_14))) = add(X_14,X_15) ),
inference(resolve,[$cnf( $equal(add(add(X_14,X_15),multiply(Y,X_14)),add(X_14,add(X_15,multiply(Y,X_14)))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
add(X_14,add(X_15,multiply(Y,X_14))) = add(X_14,X_15),
inference(resolve,[$cnf( $equal(add(add(X_14,X_15),multiply(Y,X_14)),add(X_14,X_15)) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
add(inverse(X_24),add(multiply(X_24,X_40),multiply(X_40,inverse(X_24)))) = add(inverse(X_24),multiply(X_24,X_40)),
inference(subst,[],[refute_0_121:[bind(Y,$fot(X_40)),bind(X_14,$fot(inverse(X_24))),bind(X_15,$fot(multiply(X_24,X_40)))]]) ).
cnf(refute_0_123,plain,
add(multiply(X_24,X_40),multiply(X_40,inverse(X_24))) = X_40,
inference(subst,[],[refute_0_9:[bind(X_23,$fot(X_40))]]) ).
cnf(refute_0_124,plain,
( add(multiply(X_24,X_40),multiply(X_40,inverse(X_24))) != X_40
| add(inverse(X_24),add(multiply(X_24,X_40),multiply(X_40,inverse(X_24)))) != add(inverse(X_24),multiply(X_24,X_40))
| add(inverse(X_24),X_40) = add(inverse(X_24),multiply(X_24,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_24),add(multiply(X_24,X_40),multiply(X_40,inverse(X_24)))),add(inverse(X_24),multiply(X_24,X_40))) ),[0,1],$fot(X_40)]]) ).
cnf(refute_0_125,plain,
( add(inverse(X_24),add(multiply(X_24,X_40),multiply(X_40,inverse(X_24)))) != add(inverse(X_24),multiply(X_24,X_40))
| add(inverse(X_24),X_40) = add(inverse(X_24),multiply(X_24,X_40)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_24,X_40),multiply(X_40,inverse(X_24))),X_40) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
add(inverse(X_24),X_40) = add(inverse(X_24),multiply(X_24,X_40)),
inference(resolve,[$cnf( $equal(add(inverse(X_24),add(multiply(X_24,X_40),multiply(X_40,inverse(X_24)))),add(inverse(X_24),multiply(X_24,X_40))) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
add(inverse(add(X,Y)),add(X,inverse(Y))) = add(inverse(add(X,Y)),multiply(add(X,Y),add(X,inverse(Y)))),
inference(subst,[],[refute_0_126:[bind(X_24,$fot(add(X,Y))),bind(X_40,$fot(add(X,inverse(Y))))]]) ).
cnf(refute_0_128,plain,
( multiply(add(X,Y),add(X,inverse(Y))) != X
| add(inverse(add(X,Y)),add(X,inverse(Y))) != add(inverse(add(X,Y)),multiply(add(X,Y),add(X,inverse(Y))))
| add(inverse(add(X,Y)),add(X,inverse(Y))) = add(inverse(add(X,Y)),X) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X,Y)),add(X,inverse(Y))),add(inverse(add(X,Y)),multiply(add(X,Y),add(X,inverse(Y))))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_129,plain,
( add(inverse(add(X,Y)),add(X,inverse(Y))) != add(inverse(add(X,Y)),multiply(add(X,Y),add(X,inverse(Y))))
| add(inverse(add(X,Y)),add(X,inverse(Y))) = add(inverse(add(X,Y)),X) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),add(X,inverse(Y))),X) )],[b1,refute_0_128]) ).
cnf(refute_0_130,plain,
add(inverse(add(X,Y)),add(X,inverse(Y))) = add(inverse(add(X,Y)),X),
inference(resolve,[$cnf( $equal(add(inverse(add(X,Y)),add(X,inverse(Y))),add(inverse(add(X,Y)),multiply(add(X,Y),add(X,inverse(Y))))) )],[refute_0_127,refute_0_129]) ).
cnf(refute_0_131,plain,
add(add(X_49,X_50),X_51) = add(X_49,add(X_50,X_51)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_49)),bind(Y,$fot(X_50)),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_132,plain,
add(X_51,X_50) = add(X_50,X_51),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_51)),bind(Y,$fot(X_50))]]) ).
cnf(refute_0_133,plain,
( add(X_51,X_50) != add(X_50,X_51)
| add(X_50,X_51) = add(X_51,X_50) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_51,X_50))),bind(Y0,$fot(add(X_50,X_51)))]]) ).
cnf(refute_0_134,plain,
add(X_50,X_51) = add(X_51,X_50),
inference(resolve,[$cnf( $equal(add(X_51,X_50),add(X_50,X_51)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
( add(X_50,X_51) != add(X_51,X_50)
| add(add(X_49,X_50),X_51) != add(X_49,add(X_50,X_51))
| add(add(X_49,X_50),X_51) = add(X_49,add(X_51,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_49,X_50),X_51),add(X_49,add(X_50,X_51))) ),[1,1],$fot(add(X_51,X_50))]]) ).
cnf(refute_0_136,plain,
( add(add(X_49,X_50),X_51) != add(X_49,add(X_50,X_51))
| add(add(X_49,X_50),X_51) = add(X_49,add(X_51,X_50)) ),
inference(resolve,[$cnf( $equal(add(X_50,X_51),add(X_51,X_50)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
add(add(X_49,X_50),X_51) = add(X_49,add(X_51,X_50)),
inference(resolve,[$cnf( $equal(add(add(X_49,X_50),X_51),add(X_49,add(X_50,X_51))) )],[refute_0_131,refute_0_136]) ).
cnf(refute_0_138,plain,
( add(add(X_49,X_50),X_51) != add(X_49,add(X_50,X_51))
| add(add(X_49,X_50),X_51) != add(X_49,add(X_51,X_50))
| add(X_49,add(X_50,X_51)) = add(X_49,add(X_51,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_49,X_50),X_51),add(X_49,add(X_51,X_50))) ),[0],$fot(add(X_49,add(X_50,X_51)))]]) ).
cnf(refute_0_139,plain,
( add(add(X_49,X_50),X_51) != add(X_49,add(X_51,X_50))
| add(X_49,add(X_50,X_51)) = add(X_49,add(X_51,X_50)) ),
inference(resolve,[$cnf( $equal(add(add(X_49,X_50),X_51),add(X_49,add(X_50,X_51))) )],[refute_0_131,refute_0_138]) ).
cnf(refute_0_140,plain,
add(X_49,add(X_50,X_51)) = add(X_49,add(X_51,X_50)),
inference(resolve,[$cnf( $equal(add(add(X_49,X_50),X_51),add(X_49,add(X_51,X_50))) )],[refute_0_137,refute_0_139]) ).
cnf(refute_0_141,plain,
( add(X_49,add(X_50,X_51)) != add(X_49,add(X_51,X_50))
| add(X_49,add(X_51,X_50)) = add(X_49,add(X_50,X_51)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_49,add(X_50,X_51)))),bind(Y0,$fot(add(X_49,add(X_51,X_50))))]]) ).
cnf(refute_0_142,plain,
add(X_49,add(X_51,X_50)) = add(X_49,add(X_50,X_51)),
inference(resolve,[$cnf( $equal(add(X_49,add(X_50,X_51)),add(X_49,add(X_51,X_50))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
add(X,add(inverse(add(X,Y)),inverse(Y))) = add(X,add(inverse(Y),inverse(add(X,Y)))),
inference(subst,[],[refute_0_142:[bind(X_49,$fot(X)),bind(X_50,$fot(inverse(Y))),bind(X_51,$fot(inverse(add(X,Y))))]]) ).
cnf(refute_0_144,plain,
add(add(X,Y),add(Y,X_56)) = add(X,add(Y,add(Y,X_56))),
inference(subst,[],[associativity_of_add:[bind(Z,$fot(add(Y,X_56)))]]) ).
cnf(refute_0_145,plain,
add(X_25,add(X_26,X_25)) = add(X_25,X_26),
inference(subst,[],[refute_0_71:[bind(X_14,$fot(X_25)),bind(X_15,$fot(X_26))]]) ).
cnf(refute_0_146,plain,
add(X_25,X_26) = add(X_26,X_25),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_25)),bind(Y,$fot(X_26))]]) ).
cnf(refute_0_147,plain,
( add(X_25,X_26) != add(X_26,X_25)
| add(X_26,X_25) = add(X_25,X_26) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_25,X_26))),bind(Y0,$fot(add(X_26,X_25)))]]) ).
cnf(refute_0_148,plain,
add(X_26,X_25) = add(X_25,X_26),
inference(resolve,[$cnf( $equal(add(X_25,X_26),add(X_26,X_25)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( add(X_25,add(X_26,X_25)) != add(X_25,X_26)
| add(X_26,X_25) != add(X_25,X_26)
| add(X_25,add(X_25,X_26)) = add(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_25,add(X_26,X_25)),add(X_25,X_26)) ),[0,1],$fot(add(X_25,X_26))]]) ).
cnf(refute_0_150,plain,
( add(X_25,add(X_26,X_25)) != add(X_25,X_26)
| add(X_25,add(X_25,X_26)) = add(X_25,X_26) ),
inference(resolve,[$cnf( $equal(add(X_26,X_25),add(X_25,X_26)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
add(X_25,add(X_25,X_26)) = add(X_25,X_26),
inference(resolve,[$cnf( $equal(add(X_25,add(X_26,X_25)),add(X_25,X_26)) )],[refute_0_145,refute_0_150]) ).
cnf(refute_0_152,plain,
add(Y,add(Y,X_56)) = add(Y,X_56),
inference(subst,[],[refute_0_151:[bind(X_25,$fot(Y)),bind(X_26,$fot(X_56))]]) ).
cnf(refute_0_153,plain,
( add(Y,add(Y,X_56)) != add(Y,X_56)
| add(add(X,Y),add(Y,X_56)) != add(X,add(Y,add(Y,X_56)))
| add(add(X,Y),add(Y,X_56)) = add(X,add(Y,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X,Y),add(Y,X_56)),add(X,add(Y,add(Y,X_56)))) ),[1,1],$fot(add(Y,X_56))]]) ).
cnf(refute_0_154,plain,
( add(add(X,Y),add(Y,X_56)) != add(X,add(Y,add(Y,X_56)))
| add(add(X,Y),add(Y,X_56)) = add(X,add(Y,X_56)) ),
inference(resolve,[$cnf( $equal(add(Y,add(Y,X_56)),add(Y,X_56)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
add(add(X,Y),add(Y,X_56)) = add(X,add(Y,X_56)),
inference(resolve,[$cnf( $equal(add(add(X,Y),add(Y,X_56)),add(X,add(Y,add(Y,X_56)))) )],[refute_0_144,refute_0_154]) ).
cnf(refute_0_156,plain,
add(add(X_49,add(X_15,X_49)),X_51) = add(X_49,add(add(X_15,X_49),X_51)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_49)),bind(Y,$fot(add(X_15,X_49))),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_157,plain,
add(X_49,add(X_15,X_49)) = add(X_49,X_15),
inference(subst,[],[refute_0_71:[bind(X_14,$fot(X_49))]]) ).
cnf(refute_0_158,plain,
( add(X_49,add(X_15,X_49)) != add(X_49,X_15)
| add(add(X_49,add(X_15,X_49)),X_51) != add(X_49,add(add(X_15,X_49),X_51))
| add(add(X_49,X_15),X_51) = add(X_49,add(add(X_15,X_49),X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_49,add(X_15,X_49)),X_51),add(X_49,add(add(X_15,X_49),X_51))) ),[0,0],$fot(add(X_49,X_15))]]) ).
cnf(refute_0_159,plain,
( add(add(X_49,add(X_15,X_49)),X_51) != add(X_49,add(add(X_15,X_49),X_51))
| add(add(X_49,X_15),X_51) = add(X_49,add(add(X_15,X_49),X_51)) ),
inference(resolve,[$cnf( $equal(add(X_49,add(X_15,X_49)),add(X_49,X_15)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
add(add(X_49,X_15),X_51) = add(X_49,add(add(X_15,X_49),X_51)),
inference(resolve,[$cnf( $equal(add(add(X_49,add(X_15,X_49)),X_51),add(X_49,add(add(X_15,X_49),X_51))) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
add(add(X_49,X_15),X_51) = add(X_49,add(X_15,X_51)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_49)),bind(Y,$fot(X_15)),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_162,plain,
( add(add(X_49,X_15),X_51) != add(X_49,add(X_15,X_51))
| add(add(X_49,X_15),X_51) != add(X_49,add(add(X_15,X_49),X_51))
| add(X_49,add(X_15,X_51)) = add(X_49,add(add(X_15,X_49),X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_49,X_15),X_51),add(X_49,add(add(X_15,X_49),X_51))) ),[0],$fot(add(X_49,add(X_15,X_51)))]]) ).
cnf(refute_0_163,plain,
( add(add(X_49,X_15),X_51) != add(X_49,add(add(X_15,X_49),X_51))
| add(X_49,add(X_15,X_51)) = add(X_49,add(add(X_15,X_49),X_51)) ),
inference(resolve,[$cnf( $equal(add(add(X_49,X_15),X_51),add(X_49,add(X_15,X_51))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
add(add(X_15,X_49),X_51) = add(X_15,add(X_49,X_51)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_15)),bind(Y,$fot(X_49)),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_165,plain,
add(X_49,add(add(X_15,X_49),X_51)) = add(X_49,add(add(X_15,X_49),X_51)),
introduced(tautology,[refl,[$fot(add(X_49,add(add(X_15,X_49),X_51)))]]) ).
cnf(refute_0_166,plain,
( add(X_49,add(add(X_15,X_49),X_51)) != add(X_49,add(add(X_15,X_49),X_51))
| add(add(X_15,X_49),X_51) != add(X_15,add(X_49,X_51))
| add(X_49,add(add(X_15,X_49),X_51)) = add(X_49,add(X_15,add(X_49,X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_49,add(add(X_15,X_49),X_51)),add(X_49,add(add(X_15,X_49),X_51))) ),[1,1],$fot(add(X_15,add(X_49,X_51)))]]) ).
cnf(refute_0_167,plain,
( add(add(X_15,X_49),X_51) != add(X_15,add(X_49,X_51))
| add(X_49,add(add(X_15,X_49),X_51)) = add(X_49,add(X_15,add(X_49,X_51))) ),
inference(resolve,[$cnf( $equal(add(X_49,add(add(X_15,X_49),X_51)),add(X_49,add(add(X_15,X_49),X_51))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
add(X_49,add(add(X_15,X_49),X_51)) = add(X_49,add(X_15,add(X_49,X_51))),
inference(resolve,[$cnf( $equal(add(add(X_15,X_49),X_51),add(X_15,add(X_49,X_51))) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( add(X_49,add(X_15,X_51)) != add(X_49,add(add(X_15,X_49),X_51))
| add(X_49,add(add(X_15,X_49),X_51)) != add(X_49,add(X_15,add(X_49,X_51)))
| add(X_49,add(X_15,X_51)) = add(X_49,add(X_15,add(X_49,X_51))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_49,add(X_15,X_51)),add(X_49,add(X_15,add(X_49,X_51)))) ),[0],$fot(add(X_49,add(add(X_15,X_49),X_51)))]]) ).
cnf(refute_0_170,plain,
( add(X_49,add(X_15,X_51)) != add(X_49,add(add(X_15,X_49),X_51))
| add(X_49,add(X_15,X_51)) = add(X_49,add(X_15,add(X_49,X_51))) ),
inference(resolve,[$cnf( $equal(add(X_49,add(add(X_15,X_49),X_51)),add(X_49,add(X_15,add(X_49,X_51)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
( add(add(X_49,X_15),X_51) != add(X_49,add(add(X_15,X_49),X_51))
| add(X_49,add(X_15,X_51)) = add(X_49,add(X_15,add(X_49,X_51))) ),
inference(resolve,[$cnf( $equal(add(X_49,add(X_15,X_51)),add(X_49,add(add(X_15,X_49),X_51))) )],[refute_0_163,refute_0_170]) ).
cnf(refute_0_172,plain,
add(X_49,add(X_15,X_51)) = add(X_49,add(X_15,add(X_49,X_51))),
inference(resolve,[$cnf( $equal(add(add(X_49,X_15),X_51),add(X_49,add(add(X_15,X_49),X_51))) )],[refute_0_160,refute_0_171]) ).
cnf(refute_0_173,plain,
( add(X_49,add(X_15,X_51)) != add(X_49,add(X_15,add(X_49,X_51)))
| add(X_49,add(X_15,add(X_49,X_51))) = add(X_49,add(X_15,X_51)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_49,add(X_15,X_51)))),bind(Y0,$fot(add(X_49,add(X_15,add(X_49,X_51)))))]]) ).
cnf(refute_0_174,plain,
add(X_49,add(X_15,add(X_49,X_51))) = add(X_49,add(X_15,X_51)),
inference(resolve,[$cnf( $equal(add(X_49,add(X_15,X_51)),add(X_49,add(X_15,add(X_49,X_51)))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
add(Y,add(X,add(Y,X_56))) = add(Y,add(X,X_56)),
inference(subst,[],[refute_0_174:[bind(X_15,$fot(X)),bind(X_49,$fot(Y)),bind(X_51,$fot(X_56))]]) ).
cnf(refute_0_176,plain,
add(add(X,Y),X_56) = add(X,add(Y,X_56)),
inference(subst,[],[associativity_of_add:[bind(Z,$fot(X_56))]]) ).
cnf(refute_0_177,plain,
add(Y,add(add(X,Y),X_56)) = add(Y,add(add(X,Y),X_56)),
introduced(tautology,[refl,[$fot(add(Y,add(add(X,Y),X_56)))]]) ).
cnf(refute_0_178,plain,
( add(Y,add(add(X,Y),X_56)) != add(Y,add(add(X,Y),X_56))
| add(add(X,Y),X_56) != add(X,add(Y,X_56))
| add(Y,add(add(X,Y),X_56)) = add(Y,add(X,add(Y,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,add(add(X,Y),X_56)),add(Y,add(add(X,Y),X_56))) ),[1,1],$fot(add(X,add(Y,X_56)))]]) ).
cnf(refute_0_179,plain,
( add(add(X,Y),X_56) != add(X,add(Y,X_56))
| add(Y,add(add(X,Y),X_56)) = add(Y,add(X,add(Y,X_56))) ),
inference(resolve,[$cnf( $equal(add(Y,add(add(X,Y),X_56)),add(Y,add(add(X,Y),X_56))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
add(Y,add(add(X,Y),X_56)) = add(Y,add(X,add(Y,X_56))),
inference(resolve,[$cnf( $equal(add(add(X,Y),X_56),add(X,add(Y,X_56))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( add(Y,add(X,add(Y,X_56))) != add(Y,add(X,X_56))
| add(Y,add(add(X,Y),X_56)) != add(Y,add(X,add(Y,X_56)))
| add(Y,add(add(X,Y),X_56)) = add(Y,add(X,X_56)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(Y,add(add(X,Y),X_56)))),bind(Y0,$fot(add(Y,add(X,add(Y,X_56))))),bind(Z0,$fot(add(Y,add(X,X_56))))]]) ).
cnf(refute_0_182,plain,
( add(Y,add(X,add(Y,X_56))) != add(Y,add(X,X_56))
| add(Y,add(add(X,Y),X_56)) = add(Y,add(X,X_56)) ),
inference(resolve,[$cnf( $equal(add(Y,add(add(X,Y),X_56)),add(Y,add(X,add(Y,X_56)))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
add(Y,add(add(X,Y),X_56)) = add(Y,add(X,X_56)),
inference(resolve,[$cnf( $equal(add(Y,add(X,add(Y,X_56))),add(Y,add(X,X_56))) )],[refute_0_175,refute_0_182]) ).
cnf(refute_0_184,plain,
add(X_50,X_49) = add(X_49,X_50),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_50)),bind(Y,$fot(X_49))]]) ).
cnf(refute_0_185,plain,
( add(X_50,X_49) != add(X_49,X_50)
| add(X_49,X_50) = add(X_50,X_49) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_50,X_49))),bind(Y0,$fot(add(X_49,X_50)))]]) ).
cnf(refute_0_186,plain,
add(X_49,X_50) = add(X_50,X_49),
inference(resolve,[$cnf( $equal(add(X_50,X_49),add(X_49,X_50)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
( add(X_49,X_50) != add(X_50,X_49)
| add(add(X_49,X_50),X_51) != add(X_49,add(X_50,X_51))
| add(add(X_50,X_49),X_51) = add(X_49,add(X_50,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_49,X_50),X_51),add(X_49,add(X_50,X_51))) ),[0,0],$fot(add(X_50,X_49))]]) ).
cnf(refute_0_188,plain,
( add(add(X_49,X_50),X_51) != add(X_49,add(X_50,X_51))
| add(add(X_50,X_49),X_51) = add(X_49,add(X_50,X_51)) ),
inference(resolve,[$cnf( $equal(add(X_49,X_50),add(X_50,X_49)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
add(add(X_50,X_49),X_51) = add(X_49,add(X_50,X_51)),
inference(resolve,[$cnf( $equal(add(add(X_49,X_50),X_51),add(X_49,add(X_50,X_51))) )],[refute_0_131,refute_0_188]) ).
cnf(refute_0_190,plain,
add(add(X_50,X_49),X_51) = add(X_50,add(X_49,X_51)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_50)),bind(Y,$fot(X_49)),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_191,plain,
( add(add(X_50,X_49),X_51) != add(X_49,add(X_50,X_51))
| add(add(X_50,X_49),X_51) != add(X_50,add(X_49,X_51))
| add(X_50,add(X_49,X_51)) = add(X_49,add(X_50,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_50,X_49),X_51),add(X_49,add(X_50,X_51))) ),[0],$fot(add(X_50,add(X_49,X_51)))]]) ).
cnf(refute_0_192,plain,
( add(add(X_50,X_49),X_51) != add(X_49,add(X_50,X_51))
| add(X_50,add(X_49,X_51)) = add(X_49,add(X_50,X_51)) ),
inference(resolve,[$cnf( $equal(add(add(X_50,X_49),X_51),add(X_50,add(X_49,X_51))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
add(X_50,add(X_49,X_51)) = add(X_49,add(X_50,X_51)),
inference(resolve,[$cnf( $equal(add(add(X_50,X_49),X_51),add(X_49,add(X_50,X_51))) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
( add(X_50,add(X_49,X_51)) != add(X_49,add(X_50,X_51))
| add(X_49,add(X_50,X_51)) = add(X_50,add(X_49,X_51)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_50,add(X_49,X_51)))),bind(Y0,$fot(add(X_49,add(X_50,X_51))))]]) ).
cnf(refute_0_195,plain,
add(X_49,add(X_50,X_51)) = add(X_50,add(X_49,X_51)),
inference(resolve,[$cnf( $equal(add(X_50,add(X_49,X_51)),add(X_49,add(X_50,X_51))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
add(add(X,Y),add(Y,X_56)) = add(Y,add(add(X,Y),X_56)),
inference(subst,[],[refute_0_195:[bind(X_49,$fot(add(X,Y))),bind(X_50,$fot(Y)),bind(X_51,$fot(X_56))]]) ).
cnf(refute_0_197,plain,
( add(Y,add(add(X,Y),X_56)) != add(Y,add(X,X_56))
| add(add(X,Y),add(Y,X_56)) != add(Y,add(add(X,Y),X_56))
| add(add(X,Y),add(Y,X_56)) = add(Y,add(X,X_56)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(add(X,Y),add(Y,X_56)))),bind(Y0,$fot(add(Y,add(add(X,Y),X_56)))),bind(Z0,$fot(add(Y,add(X,X_56))))]]) ).
cnf(refute_0_198,plain,
( add(Y,add(add(X,Y),X_56)) != add(Y,add(X,X_56))
| add(add(X,Y),add(Y,X_56)) = add(Y,add(X,X_56)) ),
inference(resolve,[$cnf( $equal(add(add(X,Y),add(Y,X_56)),add(Y,add(add(X,Y),X_56))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
add(add(X,Y),add(Y,X_56)) = add(Y,add(X,X_56)),
inference(resolve,[$cnf( $equal(add(Y,add(add(X,Y),X_56)),add(Y,add(X,X_56))) )],[refute_0_183,refute_0_198]) ).
cnf(refute_0_200,plain,
( add(add(X,Y),add(Y,X_56)) != add(X,add(Y,X_56))
| add(add(X,Y),add(Y,X_56)) != add(Y,add(X,X_56))
| add(Y,add(X,X_56)) = add(X,add(Y,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X,Y),add(Y,X_56)),add(X,add(Y,X_56))) ),[0],$fot(add(Y,add(X,X_56)))]]) ).
cnf(refute_0_201,plain,
( add(add(X,Y),add(Y,X_56)) != add(X,add(Y,X_56))
| add(Y,add(X,X_56)) = add(X,add(Y,X_56)) ),
inference(resolve,[$cnf( $equal(add(add(X,Y),add(Y,X_56)),add(Y,add(X,X_56))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
add(Y,add(X,X_56)) = add(X,add(Y,X_56)),
inference(resolve,[$cnf( $equal(add(add(X,Y),add(Y,X_56)),add(X,add(Y,X_56))) )],[refute_0_155,refute_0_201]) ).
cnf(refute_0_203,plain,
( add(Y,add(X,X_56)) != add(X,add(Y,X_56))
| add(X,add(Y,X_56)) = add(Y,add(X,X_56)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(Y,add(X,X_56)))),bind(Y0,$fot(add(X,add(Y,X_56))))]]) ).
cnf(refute_0_204,plain,
add(X,add(Y,X_56)) = add(Y,add(X,X_56)),
inference(resolve,[$cnf( $equal(add(Y,add(X,X_56)),add(X,add(Y,X_56))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
add(inverse(add(X,Y)),add(X,inverse(Y))) = add(X,add(inverse(add(X,Y)),inverse(Y))),
inference(subst,[],[refute_0_204:[bind(X,$fot(inverse(add(X,Y)))),bind(Y,$fot(X)),bind(X_56,$fot(inverse(Y)))]]) ).
cnf(refute_0_206,plain,
( add(X,add(inverse(add(X,Y)),inverse(Y))) != add(X,add(inverse(Y),inverse(add(X,Y))))
| add(inverse(add(X,Y)),add(X,inverse(Y))) != add(X,add(inverse(add(X,Y)),inverse(Y)))
| add(inverse(add(X,Y)),add(X,inverse(Y))) = add(X,add(inverse(Y),inverse(add(X,Y)))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(inverse(add(X,Y)),add(X,inverse(Y))))),bind(Y0,$fot(add(X,add(inverse(add(X,Y)),inverse(Y))))),bind(Z0,$fot(add(X,add(inverse(Y),inverse(add(X,Y))))))]]) ).
cnf(refute_0_207,plain,
( add(X,add(inverse(add(X,Y)),inverse(Y))) != add(X,add(inverse(Y),inverse(add(X,Y))))
| add(inverse(add(X,Y)),add(X,inverse(Y))) = add(X,add(inverse(Y),inverse(add(X,Y)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X,Y)),add(X,inverse(Y))),add(X,add(inverse(add(X,Y)),inverse(Y)))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
add(inverse(add(X,Y)),add(X,inverse(Y))) = add(X,add(inverse(Y),inverse(add(X,Y)))),
inference(resolve,[$cnf( $equal(add(X,add(inverse(add(X,Y)),inverse(Y))),add(X,add(inverse(Y),inverse(add(X,Y))))) )],[refute_0_143,refute_0_207]) ).
cnf(refute_0_209,plain,
( add(inverse(add(X,Y)),add(X,inverse(Y))) != add(X,add(inverse(Y),inverse(add(X,Y))))
| add(inverse(add(X,Y)),add(X,inverse(Y))) != add(inverse(add(X,Y)),X)
| add(X,add(inverse(Y),inverse(add(X,Y)))) = add(inverse(add(X,Y)),X) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X,Y)),add(X,inverse(Y))),add(inverse(add(X,Y)),X)) ),[0],$fot(add(X,add(inverse(Y),inverse(add(X,Y)))))]]) ).
cnf(refute_0_210,plain,
( add(inverse(add(X,Y)),add(X,inverse(Y))) != add(inverse(add(X,Y)),X)
| add(X,add(inverse(Y),inverse(add(X,Y)))) = add(inverse(add(X,Y)),X) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X,Y)),add(X,inverse(Y))),add(X,add(inverse(Y),inverse(add(X,Y))))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
add(inverse(add(X,Y)),X) = add(X,inverse(add(X,Y))),
inference(subst,[],[refute_0_33:[bind(Y,$fot(inverse(add(X,Y))))]]) ).
cnf(refute_0_212,plain,
( add(X,add(inverse(Y),inverse(add(X,Y)))) != add(inverse(add(X,Y)),X)
| add(inverse(add(X,Y)),X) != add(X,inverse(add(X,Y)))
| add(X,add(inverse(Y),inverse(add(X,Y)))) = add(X,inverse(add(X,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,add(inverse(Y),inverse(add(X,Y)))),add(X,inverse(add(X,Y)))) ),[0],$fot(add(inverse(add(X,Y)),X))]]) ).
cnf(refute_0_213,plain,
( add(X,add(inverse(Y),inverse(add(X,Y)))) != add(inverse(add(X,Y)),X)
| add(X,add(inverse(Y),inverse(add(X,Y)))) = add(X,inverse(add(X,Y))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X,Y)),X),add(X,inverse(add(X,Y)))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
( add(inverse(add(X,Y)),add(X,inverse(Y))) != add(inverse(add(X,Y)),X)
| add(X,add(inverse(Y),inverse(add(X,Y)))) = add(X,inverse(add(X,Y))) ),
inference(resolve,[$cnf( $equal(add(X,add(inverse(Y),inverse(add(X,Y)))),add(inverse(add(X,Y)),X)) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
add(X,add(inverse(Y),inverse(add(X,Y)))) = add(X,inverse(add(X,Y))),
inference(resolve,[$cnf( $equal(add(inverse(add(X,Y)),add(X,inverse(Y))),add(inverse(add(X,Y)),X)) )],[refute_0_130,refute_0_214]) ).
cnf(refute_0_216,plain,
add(inverse(X_15),X_14) = add(X_14,inverse(X_15)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(inverse(X_15))),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_217,plain,
( add(inverse(X_15),X_14) != add(X_14,inverse(X_15))
| add(X_14,inverse(X_15)) = add(inverse(X_15),X_14) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(inverse(X_15),X_14))),bind(Y0,$fot(add(X_14,inverse(X_15))))]]) ).
cnf(refute_0_218,plain,
add(X_14,inverse(X_15)) = add(inverse(X_15),X_14),
inference(resolve,[$cnf( $equal(add(inverse(X_15),X_14),add(X_14,inverse(X_15))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiply(add(X_14,X_15),add(X_14,inverse(X_15))) != X_14
| add(X_14,inverse(X_15)) != add(inverse(X_15),X_14)
| multiply(add(X_14,X_15),add(inverse(X_15),X_14)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_14,X_15),add(X_14,inverse(X_15))),X_14) ),[0,1],$fot(add(inverse(X_15),X_14))]]) ).
cnf(refute_0_220,plain,
( multiply(add(X_14,X_15),add(X_14,inverse(X_15))) != X_14
| multiply(add(X_14,X_15),add(inverse(X_15),X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(add(X_14,inverse(X_15)),add(inverse(X_15),X_14)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(add(X_14,X_15),add(inverse(X_15),X_14)) = X_14,
inference(resolve,[$cnf( $equal(multiply(add(X_14,X_15),add(X_14,inverse(X_15))),X_14) )],[refute_0_11,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(add(X_14,add(X_97,inverse(X_14))),add(inverse(add(X_97,inverse(X_14))),X_14)) = X_14,
inference(subst,[],[refute_0_221:[bind(X_15,$fot(add(X_97,inverse(X_14))))]]) ).
cnf(refute_0_223,plain,
add(X_14,inverse(X_14)) = add(X_14,add(X_97,inverse(X_14))),
inference(subst,[],[refute_0_110:[bind(X_18,$fot(X_97)),bind(X_71,$fot(X_14))]]) ).
cnf(refute_0_224,plain,
( add(X_14,inverse(X_14)) != add(X_14,add(X_97,inverse(X_14)))
| add(X_14,add(X_97,inverse(X_14))) = add(X_14,inverse(X_14)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_14,inverse(X_14)))),bind(Y0,$fot(add(X_14,add(X_97,inverse(X_14)))))]]) ).
cnf(refute_0_225,plain,
add(X_14,add(X_97,inverse(X_14))) = add(X_14,inverse(X_14)),
inference(resolve,[$cnf( $equal(add(X_14,inverse(X_14)),add(X_14,add(X_97,inverse(X_14)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( multiply(add(X_14,add(X_97,inverse(X_14))),add(inverse(add(X_97,inverse(X_14))),X_14)) != X_14
| add(X_14,add(X_97,inverse(X_14))) != add(X_14,inverse(X_14))
| multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_14,add(X_97,inverse(X_14))),add(inverse(add(X_97,inverse(X_14))),X_14)),X_14) ),[0,0],$fot(add(X_14,inverse(X_14)))]]) ).
cnf(refute_0_227,plain,
( multiply(add(X_14,add(X_97,inverse(X_14))),add(inverse(add(X_97,inverse(X_14))),X_14)) != X_14
| multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(add(X_14,add(X_97,inverse(X_14))),add(X_14,inverse(X_14))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = X_14,
inference(resolve,[$cnf( $equal(multiply(add(X_14,add(X_97,inverse(X_14))),add(inverse(add(X_97,inverse(X_14))),X_14)),X_14) )],[refute_0_222,refute_0_227]) ).
cnf(refute_0_229,plain,
add(multiply(X_39,add(X_17,X_39)),multiply(add(X_17,X_39),inverse(X_39))) = add(X_17,X_39),
inference(subst,[],[refute_0_9:[bind(X_23,$fot(add(X_17,X_39))),bind(X_24,$fot(X_39))]]) ).
cnf(refute_0_230,plain,
multiply(X_16,add(X_17,add(X_16,multiply(Y,multiply(X_16,Z))))) = X_16,
inference(subst,[],[l2:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(multiply(Y,multiply(X_16,Z))))]]) ).
cnf(refute_0_231,plain,
add(X_16,multiply(Y,multiply(X_16,Z))) = X_16,
inference(subst,[],[l1:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_232,plain,
( multiply(X_16,add(X_17,add(X_16,multiply(Y,multiply(X_16,Z))))) != X_16
| add(X_16,multiply(Y,multiply(X_16,Z))) != X_16
| multiply(X_16,add(X_17,X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_16,add(X_17,add(X_16,multiply(Y,multiply(X_16,Z))))),X_16) ),[0,1,1],$fot(X_16)]]) ).
cnf(refute_0_233,plain,
( multiply(X_16,add(X_17,add(X_16,multiply(Y,multiply(X_16,Z))))) != X_16
| multiply(X_16,add(X_17,X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(add(X_16,multiply(Y,multiply(X_16,Z))),X_16) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(X_16,add(X_17,X_16)) = X_16,
inference(resolve,[$cnf( $equal(multiply(X_16,add(X_17,add(X_16,multiply(Y,multiply(X_16,Z))))),X_16) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(X_39,add(X_17,X_39)) = X_39,
inference(subst,[],[refute_0_234:[bind(X_16,$fot(X_39))]]) ).
cnf(refute_0_236,plain,
( multiply(X_39,add(X_17,X_39)) != X_39
| add(multiply(X_39,add(X_17,X_39)),multiply(add(X_17,X_39),inverse(X_39))) != add(X_17,X_39)
| add(X_39,multiply(add(X_17,X_39),inverse(X_39))) = add(X_17,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_39,add(X_17,X_39)),multiply(add(X_17,X_39),inverse(X_39))),add(X_17,X_39)) ),[0,0],$fot(X_39)]]) ).
cnf(refute_0_237,plain,
( add(multiply(X_39,add(X_17,X_39)),multiply(add(X_17,X_39),inverse(X_39))) != add(X_17,X_39)
| add(X_39,multiply(add(X_17,X_39),inverse(X_39))) = add(X_17,X_39) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_17,X_39)),X_39) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
add(X_39,multiply(add(X_17,X_39),inverse(X_39))) = add(X_17,X_39),
inference(resolve,[$cnf( $equal(add(multiply(X_39,add(X_17,X_39)),multiply(add(X_17,X_39),inverse(X_39))),add(X_17,X_39)) )],[refute_0_229,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(add(X_17,X_39),inverse(X_39)) = multiply(inverse(X_39),add(X_17,X_39)),
inference(subst,[],[refute_0_22:[bind(X,$fot(inverse(X_39))),bind(Y,$fot(add(X_17,X_39)))]]) ).
cnf(refute_0_240,plain,
add(X_39,multiply(add(X_17,X_39),inverse(X_39))) = add(X_39,multiply(add(X_17,X_39),inverse(X_39))),
introduced(tautology,[refl,[$fot(add(X_39,multiply(add(X_17,X_39),inverse(X_39))))]]) ).
cnf(refute_0_241,plain,
( multiply(add(X_17,X_39),inverse(X_39)) != multiply(inverse(X_39),add(X_17,X_39))
| add(X_39,multiply(add(X_17,X_39),inverse(X_39))) != add(X_39,multiply(add(X_17,X_39),inverse(X_39)))
| add(X_39,multiply(add(X_17,X_39),inverse(X_39))) = add(X_39,multiply(inverse(X_39),add(X_17,X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_39,multiply(add(X_17,X_39),inverse(X_39))),add(X_39,multiply(add(X_17,X_39),inverse(X_39)))) ),[1,1],$fot(multiply(inverse(X_39),add(X_17,X_39)))]]) ).
cnf(refute_0_242,plain,
( multiply(add(X_17,X_39),inverse(X_39)) != multiply(inverse(X_39),add(X_17,X_39))
| add(X_39,multiply(add(X_17,X_39),inverse(X_39))) = add(X_39,multiply(inverse(X_39),add(X_17,X_39))) ),
inference(resolve,[$cnf( $equal(add(X_39,multiply(add(X_17,X_39),inverse(X_39))),add(X_39,multiply(add(X_17,X_39),inverse(X_39)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
add(X_39,multiply(add(X_17,X_39),inverse(X_39))) = add(X_39,multiply(inverse(X_39),add(X_17,X_39))),
inference(resolve,[$cnf( $equal(multiply(add(X_17,X_39),inverse(X_39)),multiply(inverse(X_39),add(X_17,X_39))) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
( add(X_39,multiply(add(X_17,X_39),inverse(X_39))) != add(X_17,X_39)
| add(X_39,multiply(add(X_17,X_39),inverse(X_39))) != add(X_39,multiply(inverse(X_39),add(X_17,X_39)))
| add(X_39,multiply(inverse(X_39),add(X_17,X_39))) = add(X_17,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_39,multiply(add(X_17,X_39),inverse(X_39))),add(X_17,X_39)) ),[0],$fot(add(X_39,multiply(inverse(X_39),add(X_17,X_39))))]]) ).
cnf(refute_0_245,plain,
( add(X_39,multiply(add(X_17,X_39),inverse(X_39))) != add(X_17,X_39)
| add(X_39,multiply(inverse(X_39),add(X_17,X_39))) = add(X_17,X_39) ),
inference(resolve,[$cnf( $equal(add(X_39,multiply(add(X_17,X_39),inverse(X_39))),add(X_39,multiply(inverse(X_39),add(X_17,X_39)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
add(X_39,multiply(inverse(X_39),add(X_17,X_39))) = add(X_17,X_39),
inference(resolve,[$cnf( $equal(add(X_39,multiply(add(X_17,X_39),inverse(X_39))),add(X_17,X_39)) )],[refute_0_238,refute_0_245]) ).
cnf(refute_0_247,plain,
add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,add(X_15,X_66)))) = add(X_66,add(X_15,X_66)),
inference(subst,[],[refute_0_246:[bind(X_17,$fot(X_66)),bind(X_39,$fot(add(X_15,X_66)))]]) ).
cnf(refute_0_248,plain,
add(X_66,add(X_15,X_66)) = add(X_66,X_15),
inference(subst,[],[refute_0_71:[bind(X_14,$fot(X_66))]]) ).
cnf(refute_0_249,plain,
( add(X_66,add(X_15,X_66)) != add(X_66,X_15)
| add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,add(X_15,X_66)))) != add(X_66,add(X_15,X_66))
| add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_66,add(X_15,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,add(X_15,X_66)))),add(X_66,add(X_15,X_66))) ),[0,1,1],$fot(add(X_66,X_15))]]) ).
cnf(refute_0_250,plain,
( add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,add(X_15,X_66)))) != add(X_66,add(X_15,X_66))
| add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_66,add(X_15,X_66)) ),
inference(resolve,[$cnf( $equal(add(X_66,add(X_15,X_66)),add(X_66,X_15)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_66,add(X_15,X_66)),
inference(resolve,[$cnf( $equal(add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,add(X_15,X_66)))),add(X_66,add(X_15,X_66))) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(add(X_30,multiply(X_7,X_30)),add(multiply(X_7,X_30),inverse(X_30))) = multiply(X_7,X_30),
inference(subst,[],[refute_0_17:[bind(X_14,$fot(multiply(X_7,X_30))),bind(X_15,$fot(X_30))]]) ).
cnf(refute_0_253,plain,
add(X_30,multiply(X_7,X_30)) = X_30,
inference(subst,[],[refute_0_56:[bind(X_8,$fot(X_30))]]) ).
cnf(refute_0_254,plain,
( multiply(add(X_30,multiply(X_7,X_30)),add(multiply(X_7,X_30),inverse(X_30))) != multiply(X_7,X_30)
| add(X_30,multiply(X_7,X_30)) != X_30
| multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) = multiply(X_7,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_30,multiply(X_7,X_30)),add(multiply(X_7,X_30),inverse(X_30))),multiply(X_7,X_30)) ),[0,0],$fot(X_30)]]) ).
cnf(refute_0_255,plain,
( multiply(add(X_30,multiply(X_7,X_30)),add(multiply(X_7,X_30),inverse(X_30))) != multiply(X_7,X_30)
| multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) = multiply(X_7,X_30) ),
inference(resolve,[$cnf( $equal(add(X_30,multiply(X_7,X_30)),X_30) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) = multiply(X_7,X_30),
inference(resolve,[$cnf( $equal(multiply(add(X_30,multiply(X_7,X_30)),add(multiply(X_7,X_30),inverse(X_30))),multiply(X_7,X_30)) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
add(multiply(X_7,X_30),inverse(X_30)) = add(inverse(X_30),multiply(X_7,X_30)),
inference(subst,[],[refute_0_33:[bind(X,$fot(inverse(X_30))),bind(Y,$fot(multiply(X_7,X_30)))]]) ).
cnf(refute_0_258,plain,
multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) = multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))),
introduced(tautology,[refl,[$fot(multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))))]]) ).
cnf(refute_0_259,plain,
( multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) != multiply(X_30,add(multiply(X_7,X_30),inverse(X_30)))
| add(multiply(X_7,X_30),inverse(X_30)) != add(inverse(X_30),multiply(X_7,X_30))
| multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) = multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))),multiply(X_30,add(multiply(X_7,X_30),inverse(X_30)))) ),[1,1],$fot(add(inverse(X_30),multiply(X_7,X_30)))]]) ).
cnf(refute_0_260,plain,
( add(multiply(X_7,X_30),inverse(X_30)) != add(inverse(X_30),multiply(X_7,X_30))
| multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) = multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))),multiply(X_30,add(multiply(X_7,X_30),inverse(X_30)))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) = multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))),
inference(resolve,[$cnf( $equal(add(multiply(X_7,X_30),inverse(X_30)),add(inverse(X_30),multiply(X_7,X_30))) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
( multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) != multiply(X_30,add(inverse(X_30),multiply(X_7,X_30)))
| multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) != multiply(X_7,X_30)
| multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) = multiply(X_7,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))),multiply(X_7,X_30)) ),[0],$fot(multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))))]]) ).
cnf(refute_0_263,plain,
( multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))) != multiply(X_7,X_30)
| multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) = multiply(X_7,X_30) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))),multiply(X_30,add(inverse(X_30),multiply(X_7,X_30)))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) = multiply(X_7,X_30),
inference(resolve,[$cnf( $equal(multiply(X_30,add(multiply(X_7,X_30),inverse(X_30))),multiply(X_7,X_30)) )],[refute_0_256,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(multiply(X_23,X_24),add(multiply(X_23,X_24),multiply(X_23,inverse(X_24)))) = multiply(X_23,X_24),
inference(subst,[],[refute_0_86:[bind(X,$fot(multiply(X_23,X_24))),bind(Z,$fot(multiply(X_23,inverse(X_24))))]]) ).
cnf(refute_0_266,plain,
( multiply(multiply(X_23,X_24),add(multiply(X_23,X_24),multiply(X_23,inverse(X_24)))) != multiply(X_23,X_24)
| add(multiply(X_23,X_24),multiply(X_23,inverse(X_24))) != X_23
| multiply(multiply(X_23,X_24),X_23) = multiply(X_23,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,X_24),add(multiply(X_23,X_24),multiply(X_23,inverse(X_24)))),multiply(X_23,X_24)) ),[0,1],$fot(X_23)]]) ).
cnf(refute_0_267,plain,
( multiply(multiply(X_23,X_24),add(multiply(X_23,X_24),multiply(X_23,inverse(X_24)))) != multiply(X_23,X_24)
| multiply(multiply(X_23,X_24),X_23) = multiply(X_23,X_24) ),
inference(resolve,[$cnf( $equal(add(multiply(X_23,X_24),multiply(X_23,inverse(X_24))),X_23) )],[refute_0_0,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(multiply(X_23,X_24),X_23) = multiply(X_23,X_24),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,X_24),add(multiply(X_23,X_24),multiply(X_23,inverse(X_24)))),multiply(X_23,X_24)) )],[refute_0_265,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(multiply(X_23,X_24),X_23) = multiply(X_23,multiply(X_24,X_23)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_23)),bind(Y,$fot(X_24)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_270,plain,
( multiply(multiply(X_23,X_24),X_23) != multiply(X_23,X_24)
| multiply(multiply(X_23,X_24),X_23) != multiply(X_23,multiply(X_24,X_23))
| multiply(X_23,multiply(X_24,X_23)) = multiply(X_23,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,X_24),X_23),multiply(X_23,X_24)) ),[0],$fot(multiply(X_23,multiply(X_24,X_23)))]]) ).
cnf(refute_0_271,plain,
( multiply(multiply(X_23,X_24),X_23) != multiply(X_23,X_24)
| multiply(X_23,multiply(X_24,X_23)) = multiply(X_23,X_24) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,X_24),X_23),multiply(X_23,multiply(X_24,X_23))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(X_23,multiply(X_24,X_23)) = multiply(X_23,X_24),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,X_24),X_23),multiply(X_23,X_24)) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(X_30,multiply(X_7,X_30)) = multiply(X_30,X_7),
inference(subst,[],[refute_0_272:[bind(X_23,$fot(X_30)),bind(X_24,$fot(X_7))]]) ).
cnf(refute_0_274,plain,
multiply(add(X_30,multiply(X_30,X_10)),add(multiply(X_30,X_10),inverse(X_30))) = multiply(X_30,X_10),
inference(subst,[],[refute_0_17:[bind(X_14,$fot(multiply(X_30,X_10))),bind(X_15,$fot(X_30))]]) ).
cnf(refute_0_275,plain,
add(X_30,multiply(X_30,X_10)) = X_30,
inference(subst,[],[refute_0_63:[bind(X_11,$fot(X_30))]]) ).
cnf(refute_0_276,plain,
( multiply(add(X_30,multiply(X_30,X_10)),add(multiply(X_30,X_10),inverse(X_30))) != multiply(X_30,X_10)
| add(X_30,multiply(X_30,X_10)) != X_30
| multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) = multiply(X_30,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_30,multiply(X_30,X_10)),add(multiply(X_30,X_10),inverse(X_30))),multiply(X_30,X_10)) ),[0,0],$fot(X_30)]]) ).
cnf(refute_0_277,plain,
( multiply(add(X_30,multiply(X_30,X_10)),add(multiply(X_30,X_10),inverse(X_30))) != multiply(X_30,X_10)
| multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) = multiply(X_30,X_10) ),
inference(resolve,[$cnf( $equal(add(X_30,multiply(X_30,X_10)),X_30) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) = multiply(X_30,X_10),
inference(resolve,[$cnf( $equal(multiply(add(X_30,multiply(X_30,X_10)),add(multiply(X_30,X_10),inverse(X_30))),multiply(X_30,X_10)) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
add(multiply(X_30,X_10),inverse(X_30)) = add(inverse(X_30),multiply(X_30,X_10)),
inference(subst,[],[refute_0_33:[bind(X,$fot(inverse(X_30))),bind(Y,$fot(multiply(X_30,X_10)))]]) ).
cnf(refute_0_280,plain,
multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) = multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))),
introduced(tautology,[refl,[$fot(multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))))]]) ).
cnf(refute_0_281,plain,
( multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) != multiply(X_30,add(multiply(X_30,X_10),inverse(X_30)))
| add(multiply(X_30,X_10),inverse(X_30)) != add(inverse(X_30),multiply(X_30,X_10))
| multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) = multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))),multiply(X_30,add(multiply(X_30,X_10),inverse(X_30)))) ),[1,1],$fot(add(inverse(X_30),multiply(X_30,X_10)))]]) ).
cnf(refute_0_282,plain,
( add(multiply(X_30,X_10),inverse(X_30)) != add(inverse(X_30),multiply(X_30,X_10))
| multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) = multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))),multiply(X_30,add(multiply(X_30,X_10),inverse(X_30)))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) = multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))),
inference(resolve,[$cnf( $equal(add(multiply(X_30,X_10),inverse(X_30)),add(inverse(X_30),multiply(X_30,X_10))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
( multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) != multiply(X_30,X_10)
| multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) != multiply(X_30,add(inverse(X_30),multiply(X_30,X_10)))
| multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) = multiply(X_30,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))),multiply(X_30,X_10)) ),[0],$fot(multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))))]]) ).
cnf(refute_0_285,plain,
( multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))) != multiply(X_30,X_10)
| multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) = multiply(X_30,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))),multiply(X_30,add(inverse(X_30),multiply(X_30,X_10)))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) = multiply(X_30,X_10),
inference(resolve,[$cnf( $equal(multiply(X_30,add(multiply(X_30,X_10),inverse(X_30))),multiply(X_30,X_10)) )],[refute_0_278,refute_0_285]) ).
cnf(refute_0_287,plain,
( add(inverse(X_24),X_40) != add(inverse(X_24),multiply(X_24,X_40))
| add(inverse(X_24),multiply(X_24,X_40)) = add(inverse(X_24),X_40) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(inverse(X_24),X_40))),bind(Y0,$fot(add(inverse(X_24),multiply(X_24,X_40))))]]) ).
cnf(refute_0_288,plain,
add(inverse(X_24),multiply(X_24,X_40)) = add(inverse(X_24),X_40),
inference(resolve,[$cnf( $equal(add(inverse(X_24),X_40),add(inverse(X_24),multiply(X_24,X_40))) )],[refute_0_126,refute_0_287]) ).
cnf(refute_0_289,plain,
add(inverse(X_30),multiply(X_30,X_10)) = add(inverse(X_30),X_10),
inference(subst,[],[refute_0_288:[bind(X_24,$fot(X_30)),bind(X_40,$fot(X_10))]]) ).
cnf(refute_0_290,plain,
multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) = multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))),
introduced(tautology,[refl,[$fot(multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))))]]) ).
cnf(refute_0_291,plain,
( multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) != multiply(X_30,add(inverse(X_30),multiply(X_30,X_10)))
| add(inverse(X_30),multiply(X_30,X_10)) != add(inverse(X_30),X_10)
| multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) = multiply(X_30,add(inverse(X_30),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))),multiply(X_30,add(inverse(X_30),multiply(X_30,X_10)))) ),[1,1],$fot(add(inverse(X_30),X_10))]]) ).
cnf(refute_0_292,plain,
( add(inverse(X_30),multiply(X_30,X_10)) != add(inverse(X_30),X_10)
| multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) = multiply(X_30,add(inverse(X_30),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))),multiply(X_30,add(inverse(X_30),multiply(X_30,X_10)))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) = multiply(X_30,add(inverse(X_30),X_10)),
inference(resolve,[$cnf( $equal(add(inverse(X_30),multiply(X_30,X_10)),add(inverse(X_30),X_10)) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
( multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) != multiply(X_30,X_10)
| multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) != multiply(X_30,add(inverse(X_30),X_10))
| multiply(X_30,add(inverse(X_30),X_10)) = multiply(X_30,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))),multiply(X_30,X_10)) ),[0],$fot(multiply(X_30,add(inverse(X_30),X_10)))]]) ).
cnf(refute_0_295,plain,
( multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))) != multiply(X_30,X_10)
| multiply(X_30,add(inverse(X_30),X_10)) = multiply(X_30,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))),multiply(X_30,add(inverse(X_30),X_10))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(X_30,add(inverse(X_30),X_10)) = multiply(X_30,X_10),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_30,X_10))),multiply(X_30,X_10)) )],[refute_0_286,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) = multiply(X_30,multiply(X_7,X_30)),
inference(subst,[],[refute_0_296:[bind(X_10,$fot(multiply(X_7,X_30)))]]) ).
cnf(refute_0_298,plain,
( multiply(X_30,multiply(X_7,X_30)) != multiply(X_30,X_7)
| multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) != multiply(X_30,multiply(X_7,X_30))
| multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) = multiply(X_30,X_7) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))))),bind(Y0,$fot(multiply(X_30,multiply(X_7,X_30)))),bind(Z0,$fot(multiply(X_30,X_7)))]]) ).
cnf(refute_0_299,plain,
( multiply(X_30,multiply(X_7,X_30)) != multiply(X_30,X_7)
| multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) = multiply(X_30,X_7) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))),multiply(X_30,multiply(X_7,X_30))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) = multiply(X_30,X_7),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(X_7,X_30)),multiply(X_30,X_7)) )],[refute_0_273,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) != multiply(X_30,X_7)
| multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) != multiply(X_7,X_30)
| multiply(X_30,X_7) = multiply(X_7,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))),multiply(X_7,X_30)) ),[0],$fot(multiply(X_30,X_7))]]) ).
cnf(refute_0_302,plain,
( multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))) != multiply(X_7,X_30)
| multiply(X_30,X_7) = multiply(X_7,X_30) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))),multiply(X_30,X_7)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(X_30,X_7) = multiply(X_7,X_30),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(X_7,X_30))),multiply(X_7,X_30)) )],[refute_0_264,refute_0_302]) ).
cnf(refute_0_304,plain,
( multiply(X_30,X_7) != multiply(X_7,X_30)
| multiply(X_7,X_30) = multiply(X_30,X_7) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X_30,X_7))),bind(Y0,$fot(multiply(X_7,X_30)))]]) ).
cnf(refute_0_305,plain,
multiply(X_7,X_30) = multiply(X_30,X_7),
inference(resolve,[$cnf( $equal(multiply(X_30,X_7),multiply(X_7,X_30)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(inverse(add(X_15,X_66)),add(X_66,X_15)) = multiply(add(X_66,X_15),inverse(add(X_15,X_66))),
inference(subst,[],[refute_0_305:[bind(X_30,$fot(add(X_66,X_15))),bind(X_7,$fot(inverse(add(X_15,X_66))))]]) ).
cnf(refute_0_307,plain,
add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))),
introduced(tautology,[refl,[$fot(add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))))]]) ).
cnf(refute_0_308,plain,
( multiply(inverse(add(X_15,X_66)),add(X_66,X_15)) != multiply(add(X_66,X_15),inverse(add(X_15,X_66)))
| add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) != add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))
| add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))),add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) ),[1,1],$fot(multiply(add(X_66,X_15),inverse(add(X_15,X_66))))]]) ).
cnf(refute_0_309,plain,
( multiply(inverse(add(X_15,X_66)),add(X_66,X_15)) != multiply(add(X_66,X_15),inverse(add(X_15,X_66)))
| add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))) ),
inference(resolve,[$cnf( $equal(add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))),add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_15,X_66)),add(X_66,X_15)),multiply(add(X_66,X_15),inverse(add(X_15,X_66)))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) = add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))),
introduced(tautology,[refl,[$fot(add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))))]]) ).
cnf(refute_0_312,plain,
( add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) != add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))))
| add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) != add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))
| add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) = add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))),add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))))) ),[1,1],$fot(add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))))]]) ).
cnf(refute_0_313,plain,
( add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) != add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))
| add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) = add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))),add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) = add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),
inference(resolve,[$cnf( $equal(add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))),add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_15)),bind(Y,$fot(X_66)),bind(Z,$fot(multiply(inverse(add(X_15,X_66)),add(X_66,X_15))))]]) ).
cnf(refute_0_316,plain,
( add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) != add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))))
| add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) != add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))))
| add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))))),bind(Y0,$fot(add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))))),bind(Z0,$fot(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))))))]]) ).
cnf(refute_0_317,plain,
( add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))) != add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))))
| add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) ),
inference(resolve,[$cnf( $equal(add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))),add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15))))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) = add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,multiply(inverse(add(X_15,X_66)),add(X_66,X_15)))),add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))))) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
( add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) != add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))))
| add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) != add(X_66,add(X_15,X_66))
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_66,add(X_15,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))),add(X_66,add(X_15,X_66))) ),[0],$fot(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))))]]) ).
cnf(refute_0_320,plain,
( add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) != add(X_66,add(X_15,X_66))
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_66,add(X_15,X_66)) ),
inference(resolve,[$cnf( $equal(add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))),add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66)))))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
( add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) != add(X_66,add(X_15,X_66))
| add(X_66,add(X_15,X_66)) != add(X_66,X_15)
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_66,X_15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),add(X_66,X_15)) ),[0],$fot(add(X_66,add(X_15,X_66)))]]) ).
cnf(refute_0_322,plain,
( add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) != add(X_66,add(X_15,X_66))
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_66,X_15) ),
inference(resolve,[$cnf( $equal(add(X_66,add(X_15,X_66)),add(X_66,X_15)) )],[refute_0_248,refute_0_321]) ).
cnf(refute_0_323,plain,
( add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))) != add(X_66,add(X_15,X_66))
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_66,X_15) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),add(X_66,add(X_15,X_66))) )],[refute_0_320,refute_0_322]) ).
cnf(refute_0_324,plain,
add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_66,X_15),
inference(resolve,[$cnf( $equal(add(add(X_15,X_66),multiply(inverse(add(X_15,X_66)),add(X_66,X_15))),add(X_66,add(X_15,X_66))) )],[refute_0_251,refute_0_323]) ).
cnf(refute_0_325,plain,
add(X_66,X_66) = X_66,
inference(subst,[],[refute_0_82:[bind(X_11,$fot(X_66))]]) ).
cnf(refute_0_326,plain,
add(X_15,add(X_66,X_66)) = add(X_15,add(X_66,X_66)),
introduced(tautology,[refl,[$fot(add(X_15,add(X_66,X_66)))]]) ).
cnf(refute_0_327,plain,
( add(X_15,add(X_66,X_66)) != add(X_15,add(X_66,X_66))
| add(X_66,X_66) != X_66
| add(X_15,add(X_66,X_66)) = add(X_15,X_66) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_15,add(X_66,X_66)),add(X_15,add(X_66,X_66))) ),[1,1],$fot(X_66)]]) ).
cnf(refute_0_328,plain,
( add(X_66,X_66) != X_66
| add(X_15,add(X_66,X_66)) = add(X_15,X_66) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,X_66)),add(X_15,add(X_66,X_66))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
add(X_15,add(X_66,X_66)) = add(X_15,X_66),
inference(resolve,[$cnf( $equal(add(X_66,X_66),X_66) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
add(add(X_40,Z),add(X_42,multiply(X_40,add(X_40,Z)))) = add(add(X_40,Z),X_42),
inference(subst,[],[refute_0_121:[bind(Y,$fot(X_40)),bind(X_14,$fot(add(X_40,Z))),bind(X_15,$fot(X_42))]]) ).
cnf(refute_0_331,plain,
multiply(X_40,add(X_40,Z)) = X_40,
inference(subst,[],[refute_0_86:[bind(X,$fot(X_40))]]) ).
cnf(refute_0_332,plain,
( multiply(X_40,add(X_40,Z)) != X_40
| add(add(X_40,Z),add(X_42,multiply(X_40,add(X_40,Z)))) != add(add(X_40,Z),X_42)
| add(add(X_40,Z),add(X_42,X_40)) = add(add(X_40,Z),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_40,Z),add(X_42,multiply(X_40,add(X_40,Z)))),add(add(X_40,Z),X_42)) ),[0,1,1],$fot(X_40)]]) ).
cnf(refute_0_333,plain,
( add(add(X_40,Z),add(X_42,multiply(X_40,add(X_40,Z)))) != add(add(X_40,Z),X_42)
| add(add(X_40,Z),add(X_42,X_40)) = add(add(X_40,Z),X_42) ),
inference(resolve,[$cnf( $equal(multiply(X_40,add(X_40,Z)),X_40) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
add(add(X_40,Z),add(X_42,X_40)) = add(add(X_40,Z),X_42),
inference(resolve,[$cnf( $equal(add(add(X_40,Z),add(X_42,multiply(X_40,add(X_40,Z)))),add(add(X_40,Z),X_42)) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
add(add(X_40,Z),add(X_42,X_40)) = add(X_40,add(Z,add(X_42,X_40))),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_40)),bind(Y,$fot(Z)),bind(Z,$fot(add(X_42,X_40)))]]) ).
cnf(refute_0_336,plain,
( add(add(X_40,Z),add(X_42,X_40)) != add(X_40,add(Z,add(X_42,X_40)))
| add(add(X_40,Z),add(X_42,X_40)) != add(add(X_40,Z),X_42)
| add(X_40,add(Z,add(X_42,X_40))) = add(add(X_40,Z),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_40,Z),add(X_42,X_40)),add(add(X_40,Z),X_42)) ),[0],$fot(add(X_40,add(Z,add(X_42,X_40))))]]) ).
cnf(refute_0_337,plain,
( add(add(X_40,Z),add(X_42,X_40)) != add(add(X_40,Z),X_42)
| add(X_40,add(Z,add(X_42,X_40))) = add(add(X_40,Z),X_42) ),
inference(resolve,[$cnf( $equal(add(add(X_40,Z),add(X_42,X_40)),add(X_40,add(Z,add(X_42,X_40)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
add(add(X_40,Z),X_42) = add(X_40,add(Z,X_42)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_40)),bind(Y,$fot(Z)),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_339,plain,
( add(X_40,add(Z,add(X_42,X_40))) != add(add(X_40,Z),X_42)
| add(add(X_40,Z),X_42) != add(X_40,add(Z,X_42))
| add(X_40,add(Z,add(X_42,X_40))) = add(X_40,add(Z,X_42)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_40,add(Z,add(X_42,X_40))),add(X_40,add(Z,X_42))) ),[0],$fot(add(add(X_40,Z),X_42))]]) ).
cnf(refute_0_340,plain,
( add(X_40,add(Z,add(X_42,X_40))) != add(add(X_40,Z),X_42)
| add(X_40,add(Z,add(X_42,X_40))) = add(X_40,add(Z,X_42)) ),
inference(resolve,[$cnf( $equal(add(add(X_40,Z),X_42),add(X_40,add(Z,X_42))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
( add(add(X_40,Z),add(X_42,X_40)) != add(add(X_40,Z),X_42)
| add(X_40,add(Z,add(X_42,X_40))) = add(X_40,add(Z,X_42)) ),
inference(resolve,[$cnf( $equal(add(X_40,add(Z,add(X_42,X_40))),add(add(X_40,Z),X_42)) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
add(X_40,add(Z,add(X_42,X_40))) = add(X_40,add(Z,X_42)),
inference(resolve,[$cnf( $equal(add(add(X_40,Z),add(X_42,X_40)),add(add(X_40,Z),X_42)) )],[refute_0_334,refute_0_341]) ).
cnf(refute_0_343,plain,
add(X_15,add(X_66,add(X_66,X_15))) = add(X_15,add(X_66,X_66)),
inference(subst,[],[refute_0_342:[bind(Z,$fot(X_66)),bind(X_40,$fot(X_15)),bind(X_42,$fot(X_66))]]) ).
cnf(refute_0_344,plain,
add(add(X,Y),multiply(X_85,inverse(add(X,Y)))) = add(X,add(Y,multiply(X_85,inverse(add(X,Y))))),
inference(subst,[],[associativity_of_add:[bind(Z,$fot(multiply(X_85,inverse(add(X,Y)))))]]) ).
cnf(refute_0_345,plain,
add(add(X_49,multiply(X_49,X_10)),X_51) = add(X_49,add(multiply(X_49,X_10),X_51)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_49)),bind(Y,$fot(multiply(X_49,X_10))),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_346,plain,
add(X_49,multiply(X_49,X_10)) = X_49,
inference(subst,[],[refute_0_63:[bind(X_11,$fot(X_49))]]) ).
cnf(refute_0_347,plain,
( add(X_49,multiply(X_49,X_10)) != X_49
| add(add(X_49,multiply(X_49,X_10)),X_51) != add(X_49,add(multiply(X_49,X_10),X_51))
| add(X_49,X_51) = add(X_49,add(multiply(X_49,X_10),X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_49,multiply(X_49,X_10)),X_51),add(X_49,add(multiply(X_49,X_10),X_51))) ),[0,0],$fot(X_49)]]) ).
cnf(refute_0_348,plain,
( add(add(X_49,multiply(X_49,X_10)),X_51) != add(X_49,add(multiply(X_49,X_10),X_51))
| add(X_49,X_51) = add(X_49,add(multiply(X_49,X_10),X_51)) ),
inference(resolve,[$cnf( $equal(add(X_49,multiply(X_49,X_10)),X_49) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
add(X_49,X_51) = add(X_49,add(multiply(X_49,X_10),X_51)),
inference(resolve,[$cnf( $equal(add(add(X_49,multiply(X_49,X_10)),X_51),add(X_49,add(multiply(X_49,X_10),X_51))) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
add(X_78,multiply(X_77,inverse(X_78))) = add(X_78,add(multiply(X_78,X_77),multiply(X_77,inverse(X_78)))),
inference(subst,[],[refute_0_349:[bind(X_10,$fot(X_77)),bind(X_49,$fot(X_78)),bind(X_51,$fot(multiply(X_77,inverse(X_78))))]]) ).
cnf(refute_0_351,plain,
add(multiply(X_78,X_77),multiply(X_77,inverse(X_78))) = X_77,
inference(subst,[],[refute_0_9:[bind(X_23,$fot(X_77)),bind(X_24,$fot(X_78))]]) ).
cnf(refute_0_352,plain,
( add(X_78,multiply(X_77,inverse(X_78))) != add(X_78,add(multiply(X_78,X_77),multiply(X_77,inverse(X_78))))
| add(multiply(X_78,X_77),multiply(X_77,inverse(X_78))) != X_77
| add(X_78,multiply(X_77,inverse(X_78))) = add(X_78,X_77) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_78,multiply(X_77,inverse(X_78))),add(X_78,add(multiply(X_78,X_77),multiply(X_77,inverse(X_78))))) ),[1,1],$fot(X_77)]]) ).
cnf(refute_0_353,plain,
( add(X_78,multiply(X_77,inverse(X_78))) != add(X_78,add(multiply(X_78,X_77),multiply(X_77,inverse(X_78))))
| add(X_78,multiply(X_77,inverse(X_78))) = add(X_78,X_77) ),
inference(resolve,[$cnf( $equal(add(multiply(X_78,X_77),multiply(X_77,inverse(X_78))),X_77) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
add(X_78,multiply(X_77,inverse(X_78))) = add(X_78,X_77),
inference(resolve,[$cnf( $equal(add(X_78,multiply(X_77,inverse(X_78))),add(X_78,add(multiply(X_78,X_77),multiply(X_77,inverse(X_78))))) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
add(add(X,Y),multiply(X_85,inverse(add(X,Y)))) = add(add(X,Y),X_85),
inference(subst,[],[refute_0_354:[bind(X_77,$fot(X_85)),bind(X_78,$fot(add(X,Y)))]]) ).
cnf(refute_0_356,plain,
( add(add(X,Y),multiply(X_85,inverse(add(X,Y)))) != add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))
| add(add(X,Y),multiply(X_85,inverse(add(X,Y)))) != add(add(X,Y),X_85)
| add(add(X,Y),X_85) = add(X,add(Y,multiply(X_85,inverse(add(X,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X,Y),multiply(X_85,inverse(add(X,Y)))),add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))) ),[0],$fot(add(add(X,Y),X_85))]]) ).
cnf(refute_0_357,plain,
( add(add(X,Y),multiply(X_85,inverse(add(X,Y)))) != add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))
| add(add(X,Y),X_85) = add(X,add(Y,multiply(X_85,inverse(add(X,Y))))) ),
inference(resolve,[$cnf( $equal(add(add(X,Y),multiply(X_85,inverse(add(X,Y)))),add(add(X,Y),X_85)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
add(add(X,Y),X_85) = add(X,add(Y,multiply(X_85,inverse(add(X,Y))))),
inference(resolve,[$cnf( $equal(add(add(X,Y),multiply(X_85,inverse(add(X,Y)))),add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))) )],[refute_0_344,refute_0_357]) ).
cnf(refute_0_359,plain,
add(add(X,Y),X_85) = add(X,add(Y,X_85)),
inference(subst,[],[associativity_of_add:[bind(Z,$fot(X_85))]]) ).
cnf(refute_0_360,plain,
( add(add(X,Y),X_85) != add(X,add(Y,X_85))
| add(add(X,Y),X_85) != add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))
| add(X,add(Y,X_85)) = add(X,add(Y,multiply(X_85,inverse(add(X,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X,Y),X_85),add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))) ),[0],$fot(add(X,add(Y,X_85)))]]) ).
cnf(refute_0_361,plain,
( add(add(X,Y),X_85) != add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))
| add(X,add(Y,X_85)) = add(X,add(Y,multiply(X_85,inverse(add(X,Y))))) ),
inference(resolve,[$cnf( $equal(add(add(X,Y),X_85),add(X,add(Y,X_85))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
add(X,add(Y,X_85)) = add(X,add(Y,multiply(X_85,inverse(add(X,Y))))),
inference(resolve,[$cnf( $equal(add(add(X,Y),X_85),add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
( add(X,add(Y,X_85)) != add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))
| add(X,add(Y,multiply(X_85,inverse(add(X,Y))))) = add(X,add(Y,X_85)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X,add(Y,X_85)))),bind(Y0,$fot(add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))))]]) ).
cnf(refute_0_364,plain,
add(X,add(Y,multiply(X_85,inverse(add(X,Y))))) = add(X,add(Y,X_85)),
inference(resolve,[$cnf( $equal(add(X,add(Y,X_85)),add(X,add(Y,multiply(X_85,inverse(add(X,Y)))))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_15,add(X_66,add(X_66,X_15))),
inference(subst,[],[refute_0_364:[bind(X,$fot(X_15)),bind(Y,$fot(X_66)),bind(X_85,$fot(add(X_66,X_15)))]]) ).
cnf(refute_0_366,plain,
( add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) != add(X_15,add(X_66,add(X_66,X_15)))
| add(X_15,add(X_66,add(X_66,X_15))) != add(X_15,add(X_66,X_66))
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_15,add(X_66,X_66)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))))),bind(Y0,$fot(add(X_15,add(X_66,add(X_66,X_15))))),bind(Z0,$fot(add(X_15,add(X_66,X_66))))]]) ).
cnf(refute_0_367,plain,
( add(X_15,add(X_66,add(X_66,X_15))) != add(X_15,add(X_66,X_66))
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_15,add(X_66,X_66)) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),add(X_15,add(X_66,add(X_66,X_15)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_15,add(X_66,X_66)),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,add(X_66,X_15))),add(X_15,add(X_66,X_66))) )],[refute_0_343,refute_0_367]) ).
cnf(refute_0_369,plain,
( add(X_15,add(X_66,X_66)) != add(X_15,X_66)
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) != add(X_15,add(X_66,X_66))
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_15,X_66) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))))),bind(Y0,$fot(add(X_15,add(X_66,X_66)))),bind(Z0,$fot(add(X_15,X_66)))]]) ).
cnf(refute_0_370,plain,
( add(X_15,add(X_66,X_66)) != add(X_15,X_66)
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_15,X_66) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),add(X_15,add(X_66,X_66))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) = add(X_15,X_66),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,X_66)),add(X_15,X_66)) )],[refute_0_329,refute_0_370]) ).
cnf(refute_0_372,plain,
( add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) != add(X_15,X_66)
| add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) != add(X_66,X_15)
| add(X_15,X_66) = add(X_66,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),add(X_66,X_15)) ),[0],$fot(add(X_15,X_66))]]) ).
cnf(refute_0_373,plain,
( add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))) != add(X_66,X_15)
| add(X_15,X_66) = add(X_66,X_15) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),add(X_15,X_66)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
add(X_15,X_66) = add(X_66,X_15),
inference(resolve,[$cnf( $equal(add(X_15,add(X_66,multiply(add(X_66,X_15),inverse(add(X_15,X_66))))),add(X_66,X_15)) )],[refute_0_324,refute_0_373]) ).
cnf(refute_0_375,plain,
( add(X_15,X_66) != add(X_66,X_15)
| add(X_66,X_15) = add(X_15,X_66) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_15,X_66))),bind(Y0,$fot(add(X_66,X_15)))]]) ).
cnf(refute_0_376,plain,
add(X_66,X_15) = add(X_15,X_66),
inference(resolve,[$cnf( $equal(add(X_15,X_66),add(X_66,X_15)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
add(inverse(add(X_97,inverse(X_14))),X_14) = add(X_14,inverse(add(X_97,inverse(X_14)))),
inference(subst,[],[refute_0_376:[bind(X_15,$fot(X_14)),bind(X_66,$fot(inverse(add(X_97,inverse(X_14)))))]]) ).
cnf(refute_0_378,plain,
multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),add(X_97,inverse(inverse(X_15))))) = add(X_97,inverse(inverse(X_15))),
inference(subst,[],[refute_0_221:[bind(X_14,$fot(add(X_97,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_379,plain,
add(inverse(X_15),inverse(inverse(X_15))) = add(inverse(X_15),add(X_97,inverse(inverse(X_15)))),
inference(subst,[],[refute_0_110:[bind(X_18,$fot(X_97)),bind(X_71,$fot(inverse(X_15)))]]) ).
cnf(refute_0_380,plain,
( add(inverse(X_15),inverse(inverse(X_15))) != add(inverse(X_15),add(X_97,inverse(inverse(X_15))))
| add(inverse(X_15),add(X_97,inverse(inverse(X_15)))) = add(inverse(X_15),inverse(inverse(X_15))) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(inverse(X_15),inverse(inverse(X_15))))),bind(Y0,$fot(add(inverse(X_15),add(X_97,inverse(inverse(X_15))))))]]) ).
cnf(refute_0_381,plain,
add(inverse(X_15),add(X_97,inverse(inverse(X_15)))) = add(inverse(X_15),inverse(inverse(X_15))),
inference(resolve,[$cnf( $equal(add(inverse(X_15),inverse(inverse(X_15))),add(inverse(X_15),add(X_97,inverse(inverse(X_15))))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
( multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),add(X_97,inverse(inverse(X_15))))) != add(X_97,inverse(inverse(X_15)))
| add(inverse(X_15),add(X_97,inverse(inverse(X_15)))) != add(inverse(X_15),inverse(inverse(X_15)))
| multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) = add(X_97,inverse(inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),add(X_97,inverse(inverse(X_15))))),add(X_97,inverse(inverse(X_15)))) ),[0,1],$fot(add(inverse(X_15),inverse(inverse(X_15))))]]) ).
cnf(refute_0_383,plain,
( multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),add(X_97,inverse(inverse(X_15))))) != add(X_97,inverse(inverse(X_15)))
| multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) = add(X_97,inverse(inverse(X_15))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_15),add(X_97,inverse(inverse(X_15)))),add(inverse(X_15),inverse(inverse(X_15)))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) = add(X_97,inverse(inverse(X_15))),
inference(resolve,[$cnf( $equal(multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),add(X_97,inverse(inverse(X_15))))),add(X_97,inverse(inverse(X_15)))) )],[refute_0_378,refute_0_383]) ).
cnf(refute_0_385,plain,
add(X_15,add(X_97,X_15)) = add(X_15,X_97),
inference(subst,[],[refute_0_71:[bind(X_14,$fot(X_15)),bind(X_15,$fot(X_97))]]) ).
cnf(refute_0_386,plain,
multiply(add(X_15,inverse(inverse(X_15))),add(inverse(inverse(X_15)),inverse(X_15))) = inverse(inverse(X_15)),
inference(subst,[],[refute_0_17:[bind(X_14,$fot(inverse(inverse(X_15))))]]) ).
cnf(refute_0_387,plain,
add(X_67,multiply(inverse(X_67),add(inverse(inverse(X_67)),X_67))) = add(inverse(inverse(X_67)),X_67),
inference(subst,[],[refute_0_246:[bind(X_17,$fot(inverse(inverse(X_67)))),bind(X_39,$fot(X_67))]]) ).
cnf(refute_0_388,plain,
multiply(inverse(X_67),add(inverse(inverse(X_67)),X_67)) = multiply(inverse(X_67),X_67),
inference(subst,[],[refute_0_296:[bind(X_10,$fot(X_67)),bind(X_30,$fot(inverse(X_67)))]]) ).
cnf(refute_0_389,plain,
( multiply(inverse(X_67),add(inverse(inverse(X_67)),X_67)) != multiply(inverse(X_67),X_67)
| add(X_67,multiply(inverse(X_67),add(inverse(inverse(X_67)),X_67))) != add(inverse(inverse(X_67)),X_67)
| add(X_67,multiply(inverse(X_67),X_67)) = add(inverse(inverse(X_67)),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_67,multiply(inverse(X_67),add(inverse(inverse(X_67)),X_67))),add(inverse(inverse(X_67)),X_67)) ),[0,1],$fot(multiply(inverse(X_67),X_67))]]) ).
cnf(refute_0_390,plain,
( add(X_67,multiply(inverse(X_67),add(inverse(inverse(X_67)),X_67))) != add(inverse(inverse(X_67)),X_67)
| add(X_67,multiply(inverse(X_67),X_67)) = add(inverse(inverse(X_67)),X_67) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_67),add(inverse(inverse(X_67)),X_67)),multiply(inverse(X_67),X_67)) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
add(X_67,multiply(inverse(X_67),X_67)) = add(inverse(inverse(X_67)),X_67),
inference(resolve,[$cnf( $equal(add(X_67,multiply(inverse(X_67),add(inverse(inverse(X_67)),X_67))),add(inverse(inverse(X_67)),X_67)) )],[refute_0_387,refute_0_390]) ).
cnf(refute_0_392,plain,
add(X_67,multiply(inverse(X_67),X_67)) = X_67,
inference(subst,[],[refute_0_56:[bind(X_7,$fot(inverse(X_67))),bind(X_8,$fot(X_67))]]) ).
cnf(refute_0_393,plain,
( add(X_67,multiply(inverse(X_67),X_67)) != X_67
| add(X_67,multiply(inverse(X_67),X_67)) != add(inverse(inverse(X_67)),X_67)
| X_67 = add(inverse(inverse(X_67)),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_67,multiply(inverse(X_67),X_67)),add(inverse(inverse(X_67)),X_67)) ),[0],$fot(X_67)]]) ).
cnf(refute_0_394,plain,
( add(X_67,multiply(inverse(X_67),X_67)) != add(inverse(inverse(X_67)),X_67)
| X_67 = add(inverse(inverse(X_67)),X_67) ),
inference(resolve,[$cnf( $equal(add(X_67,multiply(inverse(X_67),X_67)),X_67) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
add(inverse(inverse(X_67)),X_67) = add(X_67,inverse(inverse(X_67))),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_67)),bind(Y,$fot(inverse(inverse(X_67))))]]) ).
cnf(refute_0_396,plain,
( X_67 != add(inverse(inverse(X_67)),X_67)
| add(inverse(inverse(X_67)),X_67) != add(X_67,inverse(inverse(X_67)))
| X_67 = add(X_67,inverse(inverse(X_67))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_67,add(X_67,inverse(inverse(X_67)))) ),[0],$fot(add(inverse(inverse(X_67)),X_67))]]) ).
cnf(refute_0_397,plain,
( X_67 != add(inverse(inverse(X_67)),X_67)
| X_67 = add(X_67,inverse(inverse(X_67))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_67)),X_67),add(X_67,inverse(inverse(X_67)))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
( add(X_67,multiply(inverse(X_67),X_67)) != add(inverse(inverse(X_67)),X_67)
| X_67 = add(X_67,inverse(inverse(X_67))) ),
inference(resolve,[$cnf( $equal(X_67,add(inverse(inverse(X_67)),X_67)) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
X_67 = add(X_67,inverse(inverse(X_67))),
inference(resolve,[$cnf( $equal(add(X_67,multiply(inverse(X_67),X_67)),add(inverse(inverse(X_67)),X_67)) )],[refute_0_391,refute_0_398]) ).
cnf(refute_0_400,plain,
X_15 = add(X_15,inverse(inverse(X_15))),
inference(subst,[],[refute_0_399:[bind(X_67,$fot(X_15))]]) ).
cnf(refute_0_401,plain,
( X_15 != add(X_15,inverse(inverse(X_15)))
| add(X_15,inverse(inverse(X_15))) = X_15 ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(X_15)),bind(Y0,$fot(add(X_15,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_402,plain,
add(X_15,inverse(inverse(X_15))) = X_15,
inference(resolve,[$cnf( $equal(X_15,add(X_15,inverse(inverse(X_15)))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
( multiply(add(X_15,inverse(inverse(X_15))),add(inverse(inverse(X_15)),inverse(X_15))) != inverse(inverse(X_15))
| add(X_15,inverse(inverse(X_15))) != X_15
| multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))) = inverse(inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_15,inverse(inverse(X_15))),add(inverse(inverse(X_15)),inverse(X_15))),inverse(inverse(X_15))) ),[0,0],$fot(X_15)]]) ).
cnf(refute_0_404,plain,
( multiply(add(X_15,inverse(inverse(X_15))),add(inverse(inverse(X_15)),inverse(X_15))) != inverse(inverse(X_15))
| multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))) = inverse(inverse(X_15)) ),
inference(resolve,[$cnf( $equal(add(X_15,inverse(inverse(X_15))),X_15) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))) = inverse(inverse(X_15)),
inference(resolve,[$cnf( $equal(multiply(add(X_15,inverse(inverse(X_15))),add(inverse(inverse(X_15)),inverse(X_15))),inverse(inverse(X_15))) )],[refute_0_386,refute_0_404]) ).
cnf(refute_0_406,plain,
multiply(X_61,add(inverse(X_61),add(X_15,inverse(X_61)))) = multiply(X_61,add(X_15,inverse(X_61))),
inference(subst,[],[refute_0_296:[bind(X_10,$fot(add(X_15,inverse(X_61)))),bind(X_30,$fot(X_61))]]) ).
cnf(refute_0_407,plain,
add(inverse(X_61),add(X_15,inverse(X_61))) = add(inverse(X_61),X_15),
inference(subst,[],[refute_0_71:[bind(X_14,$fot(inverse(X_61)))]]) ).
cnf(refute_0_408,plain,
( multiply(X_61,add(inverse(X_61),add(X_15,inverse(X_61)))) != multiply(X_61,add(X_15,inverse(X_61)))
| add(inverse(X_61),add(X_15,inverse(X_61))) != add(inverse(X_61),X_15)
| multiply(X_61,add(inverse(X_61),X_15)) = multiply(X_61,add(X_15,inverse(X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,add(inverse(X_61),add(X_15,inverse(X_61)))),multiply(X_61,add(X_15,inverse(X_61)))) ),[0,1],$fot(add(inverse(X_61),X_15))]]) ).
cnf(refute_0_409,plain,
( multiply(X_61,add(inverse(X_61),add(X_15,inverse(X_61)))) != multiply(X_61,add(X_15,inverse(X_61)))
| multiply(X_61,add(inverse(X_61),X_15)) = multiply(X_61,add(X_15,inverse(X_61))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_61),add(X_15,inverse(X_61))),add(inverse(X_61),X_15)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(X_61,add(inverse(X_61),X_15)) = multiply(X_61,add(X_15,inverse(X_61))),
inference(resolve,[$cnf( $equal(multiply(X_61,add(inverse(X_61),add(X_15,inverse(X_61)))),multiply(X_61,add(X_15,inverse(X_61)))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(X_61,add(inverse(X_61),X_15)) = multiply(X_61,X_15),
inference(subst,[],[refute_0_296:[bind(X_10,$fot(X_15)),bind(X_30,$fot(X_61))]]) ).
cnf(refute_0_412,plain,
( multiply(X_61,add(inverse(X_61),X_15)) != multiply(X_61,X_15)
| multiply(X_61,add(inverse(X_61),X_15)) != multiply(X_61,add(X_15,inverse(X_61)))
| multiply(X_61,X_15) = multiply(X_61,add(X_15,inverse(X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,add(inverse(X_61),X_15)),multiply(X_61,add(X_15,inverse(X_61)))) ),[0],$fot(multiply(X_61,X_15))]]) ).
cnf(refute_0_413,plain,
( multiply(X_61,add(inverse(X_61),X_15)) != multiply(X_61,add(X_15,inverse(X_61)))
| multiply(X_61,X_15) = multiply(X_61,add(X_15,inverse(X_61))) ),
inference(resolve,[$cnf( $equal(multiply(X_61,add(inverse(X_61),X_15)),multiply(X_61,X_15)) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(X_61,X_15) = multiply(X_61,add(X_15,inverse(X_61))),
inference(resolve,[$cnf( $equal(multiply(X_61,add(inverse(X_61),X_15)),multiply(X_61,add(X_15,inverse(X_61)))) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
( multiply(X_61,X_15) != multiply(X_61,add(X_15,inverse(X_61)))
| multiply(X_61,add(X_15,inverse(X_61))) = multiply(X_61,X_15) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X_61,X_15))),bind(Y0,$fot(multiply(X_61,add(X_15,inverse(X_61)))))]]) ).
cnf(refute_0_416,plain,
multiply(X_61,add(X_15,inverse(X_61))) = multiply(X_61,X_15),
inference(resolve,[$cnf( $equal(multiply(X_61,X_15),multiply(X_61,add(X_15,inverse(X_61)))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))) = multiply(X_15,inverse(inverse(X_15))),
inference(subst,[],[refute_0_416:[bind(X_15,$fot(inverse(inverse(X_15)))),bind(X_61,$fot(X_15))]]) ).
cnf(refute_0_418,plain,
( multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))) != multiply(X_15,inverse(inverse(X_15)))
| multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))) != inverse(inverse(X_15))
| multiply(X_15,inverse(inverse(X_15))) = inverse(inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))),inverse(inverse(X_15))) ),[0],$fot(multiply(X_15,inverse(inverse(X_15))))]]) ).
cnf(refute_0_419,plain,
( multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))) != inverse(inverse(X_15))
| multiply(X_15,inverse(inverse(X_15))) = inverse(inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))),multiply(X_15,inverse(inverse(X_15)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(X_15,inverse(inverse(X_15))) = inverse(inverse(X_15)),
inference(resolve,[$cnf( $equal(multiply(X_15,add(inverse(inverse(X_15)),inverse(X_15))),inverse(inverse(X_15))) )],[refute_0_405,refute_0_419]) ).
cnf(refute_0_421,plain,
multiply(X_20,add(X_20,multiply(Y,multiply(X_20,Z)))) = X_20,
inference(subst,[],[refute_0_86:[bind(X,$fot(X_20)),bind(Z,$fot(multiply(Y,multiply(X_20,Z))))]]) ).
cnf(refute_0_422,plain,
add(X_20,multiply(Y,multiply(X_20,Z))) = X_20,
inference(subst,[],[l1:[bind(X,$fot(X_20))]]) ).
cnf(refute_0_423,plain,
( multiply(X_20,add(X_20,multiply(Y,multiply(X_20,Z)))) != X_20
| add(X_20,multiply(Y,multiply(X_20,Z))) != X_20
| multiply(X_20,X_20) = X_20 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_20,add(X_20,multiply(Y,multiply(X_20,Z)))),X_20) ),[0,1],$fot(X_20)]]) ).
cnf(refute_0_424,plain,
( multiply(X_20,add(X_20,multiply(Y,multiply(X_20,Z)))) != X_20
| multiply(X_20,X_20) = X_20 ),
inference(resolve,[$cnf( $equal(add(X_20,multiply(Y,multiply(X_20,Z))),X_20) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
multiply(X_20,X_20) = X_20,
inference(resolve,[$cnf( $equal(multiply(X_20,add(X_20,multiply(Y,multiply(X_20,Z)))),X_20) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(X_15,X_15) = X_15,
inference(subst,[],[refute_0_425:[bind(X_20,$fot(X_15))]]) ).
cnf(refute_0_427,plain,
multiply(X_30,add(inverse(X_30),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))) = multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))),
inference(subst,[],[refute_0_296:[bind(X_10,$fot(multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))))]]) ).
cnf(refute_0_428,plain,
add(inverse(X_30),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) = add(inverse(X_30),X_70),
inference(subst,[],[refute_0_98:[bind(Z,$fot(X_70)),bind(X_39,$fot(inverse(X_30)))]]) ).
cnf(refute_0_429,plain,
( multiply(X_30,add(inverse(X_30),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))) != multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))
| add(inverse(X_30),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) != add(inverse(X_30),X_70)
| multiply(X_30,add(inverse(X_30),X_70)) = multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))),multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))) ),[0,1],$fot(add(inverse(X_30),X_70))]]) ).
cnf(refute_0_430,plain,
( multiply(X_30,add(inverse(X_30),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))) != multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))
| multiply(X_30,add(inverse(X_30),X_70)) = multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_30),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))),add(inverse(X_30),X_70)) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(X_30,add(inverse(X_30),X_70)) = multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))),multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
multiply(X_30,add(inverse(X_30),X_70)) = multiply(X_30,X_70),
inference(subst,[],[refute_0_296:[bind(X_10,$fot(X_70))]]) ).
cnf(refute_0_433,plain,
( multiply(X_30,add(inverse(X_30),X_70)) != multiply(X_30,X_70)
| multiply(X_30,add(inverse(X_30),X_70)) != multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))
| multiply(X_30,X_70) = multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,add(inverse(X_30),X_70)),multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))) ),[0],$fot(multiply(X_30,X_70))]]) ).
cnf(refute_0_434,plain,
( multiply(X_30,add(inverse(X_30),X_70)) != multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))
| multiply(X_30,X_70) = multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) ),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),X_70)),multiply(X_30,X_70)) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
multiply(add(inverse(X_30),X_70),inverse(inverse(X_30))) = multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)),
inference(subst,[],[refute_0_305:[bind(X_30,$fot(inverse(inverse(X_30)))),bind(X_7,$fot(add(inverse(X_30),X_70)))]]) ).
cnf(refute_0_436,plain,
multiply(multiply(X,Y),inverse(inverse(Y))) = multiply(X,multiply(Y,inverse(inverse(Y)))),
inference(subst,[],[associativity_of_multiply:[bind(Z,$fot(inverse(inverse(Y))))]]) ).
cnf(refute_0_437,plain,
multiply(Y,inverse(inverse(Y))) = inverse(inverse(Y)),
inference(subst,[],[refute_0_420:[bind(X_15,$fot(Y))]]) ).
cnf(refute_0_438,plain,
( multiply(Y,inverse(inverse(Y))) != inverse(inverse(Y))
| multiply(multiply(X,Y),inverse(inverse(Y))) != multiply(X,multiply(Y,inverse(inverse(Y))))
| multiply(multiply(X,Y),inverse(inverse(Y))) = multiply(X,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(Y))),multiply(X,multiply(Y,inverse(inverse(Y))))) ),[1,1],$fot(inverse(inverse(Y)))]]) ).
cnf(refute_0_439,plain,
( multiply(multiply(X,Y),inverse(inverse(Y))) != multiply(X,multiply(Y,inverse(inverse(Y))))
| multiply(multiply(X,Y),inverse(inverse(Y))) = multiply(X,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(Y))),inverse(inverse(Y))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(multiply(X,Y),inverse(inverse(Y))) = multiply(X,inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(Y))),multiply(X,multiply(Y,inverse(inverse(Y))))) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(add(X_15,multiply(X_58,multiply(X_59,X_15))),add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_58,multiply(X_59,X_15)),
inference(subst,[],[refute_0_17:[bind(X_14,$fot(multiply(X_58,multiply(X_59,X_15))))]]) ).
cnf(refute_0_442,plain,
multiply(X,Z) = multiply(Z,X),
inference(subst,[],[commutativity_of_multiply:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_443,plain,
( multiply(X,Z) != multiply(Z,X)
| add(X,multiply(Y,multiply(X,Z))) != X
| add(X,multiply(Y,multiply(Z,X))) = X ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(X,Z))),X) ),[0,1,1],$fot(multiply(Z,X))]]) ).
cnf(refute_0_444,plain,
( add(X,multiply(Y,multiply(X,Z))) != X
| add(X,multiply(Y,multiply(Z,X))) = X ),
inference(resolve,[$cnf( $equal(multiply(X,Z),multiply(Z,X)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
add(X,multiply(Y,multiply(Z,X))) = X,
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(X,Z))),X) )],[l1,refute_0_444]) ).
cnf(refute_0_446,plain,
add(X_15,multiply(X_58,multiply(X_59,X_15))) = X_15,
inference(subst,[],[refute_0_445:[bind(X,$fot(X_15)),bind(Y,$fot(X_58)),bind(Z,$fot(X_59))]]) ).
cnf(refute_0_447,plain,
( multiply(add(X_15,multiply(X_58,multiply(X_59,X_15))),add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) != multiply(X_58,multiply(X_59,X_15))
| add(X_15,multiply(X_58,multiply(X_59,X_15))) != X_15
| multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_58,multiply(X_59,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_15,multiply(X_58,multiply(X_59,X_15))),add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),multiply(X_58,multiply(X_59,X_15))) ),[0,0],$fot(X_15)]]) ).
cnf(refute_0_448,plain,
( multiply(add(X_15,multiply(X_58,multiply(X_59,X_15))),add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) != multiply(X_58,multiply(X_59,X_15))
| multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_58,multiply(X_59,X_15)) ),
inference(resolve,[$cnf( $equal(add(X_15,multiply(X_58,multiply(X_59,X_15))),X_15) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_58,multiply(X_59,X_15)),
inference(resolve,[$cnf( $equal(multiply(add(X_15,multiply(X_58,multiply(X_59,X_15))),add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),multiply(X_58,multiply(X_59,X_15))) )],[refute_0_441,refute_0_448]) ).
cnf(refute_0_450,plain,
multiply(X_23,multiply(multiply(X_52,X_53),X_23)) = multiply(X_23,multiply(X_52,X_53)),
inference(subst,[],[refute_0_272:[bind(X_24,$fot(multiply(X_52,X_53)))]]) ).
cnf(refute_0_451,plain,
multiply(multiply(X_52,X_53),X_23) = multiply(X_52,multiply(X_53,X_23)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_52)),bind(Y,$fot(X_53)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_452,plain,
( multiply(X_23,multiply(multiply(X_52,X_53),X_23)) != multiply(X_23,multiply(X_52,X_53))
| multiply(multiply(X_52,X_53),X_23) != multiply(X_52,multiply(X_53,X_23))
| multiply(X_23,multiply(X_52,multiply(X_53,X_23))) = multiply(X_23,multiply(X_52,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,multiply(multiply(X_52,X_53),X_23)),multiply(X_23,multiply(X_52,X_53))) ),[0,1],$fot(multiply(X_52,multiply(X_53,X_23)))]]) ).
cnf(refute_0_453,plain,
( multiply(X_23,multiply(multiply(X_52,X_53),X_23)) != multiply(X_23,multiply(X_52,X_53))
| multiply(X_23,multiply(X_52,multiply(X_53,X_23))) = multiply(X_23,multiply(X_52,X_53)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_52,X_53),X_23),multiply(X_52,multiply(X_53,X_23))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
multiply(X_23,multiply(X_52,multiply(X_53,X_23))) = multiply(X_23,multiply(X_52,X_53)),
inference(resolve,[$cnf( $equal(multiply(X_23,multiply(multiply(X_52,X_53),X_23)),multiply(X_23,multiply(X_52,X_53))) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
multiply(X_15,multiply(X_58,multiply(X_59,X_15))) = multiply(X_15,multiply(X_58,X_59)),
inference(subst,[],[refute_0_454:[bind(X_23,$fot(X_15)),bind(X_52,$fot(X_58)),bind(X_53,$fot(X_59))]]) ).
cnf(refute_0_456,plain,
multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) = multiply(X_15,multiply(X_58,multiply(X_59,X_15))),
inference(subst,[],[refute_0_296:[bind(X_10,$fot(multiply(X_58,multiply(X_59,X_15)))),bind(X_30,$fot(X_15))]]) ).
cnf(refute_0_457,plain,
( multiply(X_15,multiply(X_58,multiply(X_59,X_15))) != multiply(X_15,multiply(X_58,X_59))
| multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) != multiply(X_15,multiply(X_58,multiply(X_59,X_15)))
| multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) = multiply(X_15,multiply(X_58,X_59)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))))),bind(Y0,$fot(multiply(X_15,multiply(X_58,multiply(X_59,X_15))))),bind(Z0,$fot(multiply(X_15,multiply(X_58,X_59))))]]) ).
cnf(refute_0_458,plain,
( multiply(X_15,multiply(X_58,multiply(X_59,X_15))) != multiply(X_15,multiply(X_58,X_59))
| multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) = multiply(X_15,multiply(X_58,X_59)) ),
inference(resolve,[$cnf( $equal(multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))),multiply(X_15,multiply(X_58,multiply(X_59,X_15)))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) = multiply(X_15,multiply(X_58,X_59)),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(X_58,multiply(X_59,X_15))),multiply(X_15,multiply(X_58,X_59))) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15)) = add(inverse(X_15),multiply(X_58,multiply(X_59,X_15))),
inference(subst,[],[refute_0_33:[bind(X,$fot(inverse(X_15))),bind(Y,$fot(multiply(X_58,multiply(X_59,X_15))))]]) ).
cnf(refute_0_461,plain,
multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),
introduced(tautology,[refl,[$fot(multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))))]]) ).
cnf(refute_0_462,plain,
( multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) != multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15)))
| add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15)) != add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))
| multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15)))) ),[1,1],$fot(add(inverse(X_15),multiply(X_58,multiply(X_59,X_15))))]]) ).
cnf(refute_0_463,plain,
( add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15)) != add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))
| multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) ),
inference(resolve,[$cnf( $equal(multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15)))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))),
inference(resolve,[$cnf( $equal(add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15)),add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
( multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) != multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15))))
| multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) != multiply(X_15,multiply(X_58,X_59))
| multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_15,multiply(X_58,X_59)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))))),bind(Y0,$fot(multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))))),bind(Z0,$fot(multiply(X_15,multiply(X_58,X_59))))]]) ).
cnf(refute_0_466,plain,
( multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))) != multiply(X_15,multiply(X_58,X_59))
| multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_15,multiply(X_58,X_59)) ),
inference(resolve,[$cnf( $equal(multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15))))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) = multiply(X_15,multiply(X_58,X_59)),
inference(resolve,[$cnf( $equal(multiply(X_15,add(inverse(X_15),multiply(X_58,multiply(X_59,X_15)))),multiply(X_15,multiply(X_58,X_59))) )],[refute_0_459,refute_0_466]) ).
cnf(refute_0_468,plain,
( multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) != multiply(X_15,multiply(X_58,X_59))
| multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) != multiply(X_58,multiply(X_59,X_15))
| multiply(X_15,multiply(X_58,X_59)) = multiply(X_58,multiply(X_59,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),multiply(X_58,multiply(X_59,X_15))) ),[0],$fot(multiply(X_15,multiply(X_58,X_59)))]]) ).
cnf(refute_0_469,plain,
( multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))) != multiply(X_58,multiply(X_59,X_15))
| multiply(X_15,multiply(X_58,X_59)) = multiply(X_58,multiply(X_59,X_15)) ),
inference(resolve,[$cnf( $equal(multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),multiply(X_15,multiply(X_58,X_59))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(X_15,multiply(X_58,X_59)) = multiply(X_58,multiply(X_59,X_15)),
inference(resolve,[$cnf( $equal(multiply(X_15,add(multiply(X_58,multiply(X_59,X_15)),inverse(X_15))),multiply(X_58,multiply(X_59,X_15))) )],[refute_0_449,refute_0_469]) ).
cnf(refute_0_471,plain,
( multiply(X_15,multiply(X_58,X_59)) != multiply(X_58,multiply(X_59,X_15))
| multiply(X_58,multiply(X_59,X_15)) = multiply(X_15,multiply(X_58,X_59)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X_15,multiply(X_58,X_59)))),bind(Y0,$fot(multiply(X_58,multiply(X_59,X_15))))]]) ).
cnf(refute_0_472,plain,
multiply(X_58,multiply(X_59,X_15)) = multiply(X_15,multiply(X_58,X_59)),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(X_58,X_59)),multiply(X_58,multiply(X_59,X_15))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(inverse(inverse(Y)),multiply(X,Y)) = multiply(Y,multiply(inverse(inverse(Y)),X)),
inference(subst,[],[refute_0_472:[bind(X_15,$fot(Y)),bind(X_58,$fot(inverse(inverse(Y)))),bind(X_59,$fot(X))]]) ).
cnf(refute_0_474,plain,
multiply(multiply(X,Y),inverse(inverse(Y))) = multiply(inverse(inverse(Y)),multiply(X,Y)),
inference(subst,[],[refute_0_305:[bind(X_30,$fot(inverse(inverse(Y)))),bind(X_7,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_475,plain,
( multiply(multiply(X,Y),inverse(inverse(Y))) != multiply(inverse(inverse(Y)),multiply(X,Y))
| multiply(inverse(inverse(Y)),multiply(X,Y)) != multiply(Y,multiply(inverse(inverse(Y)),X))
| multiply(multiply(X,Y),inverse(inverse(Y))) = multiply(Y,multiply(inverse(inverse(Y)),X)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(multiply(X,Y),inverse(inverse(Y))))),bind(Y0,$fot(multiply(inverse(inverse(Y)),multiply(X,Y)))),bind(Z0,$fot(multiply(Y,multiply(inverse(inverse(Y)),X))))]]) ).
cnf(refute_0_476,plain,
( multiply(inverse(inverse(Y)),multiply(X,Y)) != multiply(Y,multiply(inverse(inverse(Y)),X))
| multiply(multiply(X,Y),inverse(inverse(Y))) = multiply(Y,multiply(inverse(inverse(Y)),X)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(Y))),multiply(inverse(inverse(Y)),multiply(X,Y))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(multiply(X,Y),inverse(inverse(Y))) = multiply(Y,multiply(inverse(inverse(Y)),X)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),multiply(X,Y)),multiply(Y,multiply(inverse(inverse(Y)),X))) )],[refute_0_473,refute_0_476]) ).
cnf(refute_0_478,plain,
( multiply(multiply(X,Y),inverse(inverse(Y))) != multiply(X,inverse(inverse(Y)))
| multiply(multiply(X,Y),inverse(inverse(Y))) != multiply(Y,multiply(inverse(inverse(Y)),X))
| multiply(Y,multiply(inverse(inverse(Y)),X)) = multiply(X,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(Y))),multiply(X,inverse(inverse(Y)))) ),[0],$fot(multiply(Y,multiply(inverse(inverse(Y)),X)))]]) ).
cnf(refute_0_479,plain,
( multiply(multiply(X,Y),inverse(inverse(Y))) != multiply(X,inverse(inverse(Y)))
| multiply(Y,multiply(inverse(inverse(Y)),X)) = multiply(X,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(Y))),multiply(Y,multiply(inverse(inverse(Y)),X))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(Y,multiply(inverse(inverse(Y)),X)) = multiply(X,inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(Y))),multiply(X,inverse(inverse(Y)))) )],[refute_0_440,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) = multiply(add(inverse(X_30),X_70),inverse(inverse(X_30))),
inference(subst,[],[refute_0_480:[bind(X,$fot(add(inverse(X_30),X_70))),bind(Y,$fot(X_30))]]) ).
cnf(refute_0_482,plain,
( multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) != multiply(add(inverse(X_30),X_70),inverse(inverse(X_30)))
| multiply(add(inverse(X_30),X_70),inverse(inverse(X_30))) != multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))
| multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) = multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))))),bind(Y0,$fot(multiply(add(inverse(X_30),X_70),inverse(inverse(X_30))))),bind(Z0,$fot(multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))))]]) ).
cnf(refute_0_483,plain,
( multiply(add(inverse(X_30),X_70),inverse(inverse(X_30))) != multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))
| multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) = multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)) ),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))),multiply(add(inverse(X_30),X_70),inverse(inverse(X_30)))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) = multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_30),X_70),inverse(inverse(X_30))),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) )],[refute_0_435,refute_0_483]) ).
cnf(refute_0_485,plain,
( multiply(X_30,X_70) != multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))
| multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) != multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))
| multiply(X_30,X_70) = multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_30,X_70),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) ),[0],$fot(multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))))]]) ).
cnf(refute_0_486,plain,
( multiply(X_30,X_70) != multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))
| multiply(X_30,X_70) = multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)) ),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( multiply(X_30,add(inverse(X_30),X_70)) != multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))
| multiply(X_30,X_70) = multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)) ),
inference(resolve,[$cnf( $equal(multiply(X_30,X_70),multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))) )],[refute_0_434,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(X_30,X_70) = multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)),
inference(resolve,[$cnf( $equal(multiply(X_30,add(inverse(X_30),X_70)),multiply(X_30,multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))) )],[refute_0_431,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(add(multiply(X_7,inverse(X_44)),X_44),add(inverse(X_44),multiply(X_7,inverse(X_44)))) = multiply(X_7,inverse(X_44)),
inference(subst,[],[refute_0_221:[bind(X_14,$fot(multiply(X_7,inverse(X_44)))),bind(X_15,$fot(X_44))]]) ).
cnf(refute_0_490,plain,
add(inverse(X_44),multiply(X_7,inverse(X_44))) = inverse(X_44),
inference(subst,[],[refute_0_56:[bind(X_8,$fot(inverse(X_44)))]]) ).
cnf(refute_0_491,plain,
( multiply(add(multiply(X_7,inverse(X_44)),X_44),add(inverse(X_44),multiply(X_7,inverse(X_44)))) != multiply(X_7,inverse(X_44))
| add(inverse(X_44),multiply(X_7,inverse(X_44))) != inverse(X_44)
| multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) = multiply(X_7,inverse(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_7,inverse(X_44)),X_44),add(inverse(X_44),multiply(X_7,inverse(X_44)))),multiply(X_7,inverse(X_44))) ),[0,1],$fot(inverse(X_44))]]) ).
cnf(refute_0_492,plain,
( multiply(add(multiply(X_7,inverse(X_44)),X_44),add(inverse(X_44),multiply(X_7,inverse(X_44)))) != multiply(X_7,inverse(X_44))
| multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) = multiply(X_7,inverse(X_44)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_44),multiply(X_7,inverse(X_44))),inverse(X_44)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) = multiply(X_7,inverse(X_44)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_7,inverse(X_44)),X_44),add(inverse(X_44),multiply(X_7,inverse(X_44)))),multiply(X_7,inverse(X_44))) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
add(multiply(X_7,inverse(X_44)),X_44) = add(X_44,multiply(X_7,inverse(X_44))),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_44)),bind(Y,$fot(multiply(X_7,inverse(X_44))))]]) ).
cnf(refute_0_495,plain,
multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)) = multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)))]]) ).
cnf(refute_0_496,plain,
( multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)) != multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44))
| add(multiply(X_7,inverse(X_44)),X_44) != add(X_44,multiply(X_7,inverse(X_44)))
| multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)) = multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)),multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44))) ),[1,1],$fot(add(X_44,multiply(X_7,inverse(X_44))))]]) ).
cnf(refute_0_497,plain,
( add(multiply(X_7,inverse(X_44)),X_44) != add(X_44,multiply(X_7,inverse(X_44)))
| multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)) = multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)),multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)) = multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))),
inference(resolve,[$cnf( $equal(add(multiply(X_7,inverse(X_44)),X_44),add(X_44,multiply(X_7,inverse(X_44)))) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) = multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)),
inference(subst,[],[refute_0_305:[bind(X_30,$fot(inverse(X_44))),bind(X_7,$fot(add(multiply(X_7,inverse(X_44)),X_44)))]]) ).
cnf(refute_0_500,plain,
( multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) != multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44))
| multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)) != multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))
| multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) = multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)))),bind(Y0,$fot(multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)))),bind(Z0,$fot(multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))))]]) ).
cnf(refute_0_501,plain,
( multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)) != multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))
| multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) = multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)),multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) = multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),add(multiply(X_7,inverse(X_44)),X_44)),multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
( multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) != multiply(X_7,inverse(X_44))
| multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) != multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))
| multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) = multiply(X_7,inverse(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)),multiply(X_7,inverse(X_44))) ),[0],$fot(multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))))]]) ).
cnf(refute_0_504,plain,
( multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)) != multiply(X_7,inverse(X_44))
| multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) = multiply(X_7,inverse(X_44)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)),multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) = multiply(X_7,inverse(X_44)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_7,inverse(X_44)),X_44),inverse(X_44)),multiply(X_7,inverse(X_44))) )],[refute_0_493,refute_0_504]) ).
cnf(refute_0_506,plain,
add(X_44,multiply(X_7,inverse(X_44))) = add(X_44,X_7),
inference(subst,[],[refute_0_354:[bind(X_77,$fot(X_7)),bind(X_78,$fot(X_44))]]) ).
cnf(refute_0_507,plain,
multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) = multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))))]]) ).
cnf(refute_0_508,plain,
( multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) != multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))
| add(X_44,multiply(X_7,inverse(X_44))) != add(X_44,X_7)
| multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) = multiply(inverse(X_44),add(X_44,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))),multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))) ),[1,1],$fot(add(X_44,X_7))]]) ).
cnf(refute_0_509,plain,
( add(X_44,multiply(X_7,inverse(X_44))) != add(X_44,X_7)
| multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) = multiply(inverse(X_44),add(X_44,X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))),multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44))))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) = multiply(inverse(X_44),add(X_44,X_7)),
inference(resolve,[$cnf( $equal(add(X_44,multiply(X_7,inverse(X_44))),add(X_44,X_7)) )],[refute_0_506,refute_0_509]) ).
cnf(refute_0_511,plain,
( multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) != multiply(X_7,inverse(X_44))
| multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) != multiply(inverse(X_44),add(X_44,X_7))
| multiply(inverse(X_44),add(X_44,X_7)) = multiply(X_7,inverse(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))),multiply(X_7,inverse(X_44))) ),[0],$fot(multiply(inverse(X_44),add(X_44,X_7)))]]) ).
cnf(refute_0_512,plain,
( multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))) != multiply(X_7,inverse(X_44))
| multiply(inverse(X_44),add(X_44,X_7)) = multiply(X_7,inverse(X_44)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))),multiply(inverse(X_44),add(X_44,X_7))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
multiply(inverse(X_44),add(X_44,X_7)) = multiply(X_7,inverse(X_44)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),add(X_44,multiply(X_7,inverse(X_44)))),multiply(X_7,inverse(X_44))) )],[refute_0_505,refute_0_512]) ).
cnf(refute_0_514,plain,
multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)) = multiply(X_70,inverse(inverse(X_30))),
inference(subst,[],[refute_0_513:[bind(X_44,$fot(inverse(X_30))),bind(X_7,$fot(X_70))]]) ).
cnf(refute_0_515,plain,
( multiply(X_30,X_70) != multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))
| multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)) != multiply(X_70,inverse(inverse(X_30)))
| multiply(X_30,X_70) = multiply(X_70,inverse(inverse(X_30))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_30,X_70),multiply(X_70,inverse(inverse(X_30)))) ),[0],$fot(multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)))]]) ).
cnf(refute_0_516,plain,
( multiply(X_30,X_70) != multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))
| multiply(X_30,X_70) = multiply(X_70,inverse(inverse(X_30))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70)),multiply(X_70,inverse(inverse(X_30)))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(X_30,X_70) = multiply(X_70,inverse(inverse(X_30))),
inference(resolve,[$cnf( $equal(multiply(X_30,X_70),multiply(inverse(inverse(X_30)),add(inverse(X_30),X_70))) )],[refute_0_488,refute_0_516]) ).
cnf(refute_0_518,plain,
( multiply(X_30,X_70) != multiply(X_70,inverse(inverse(X_30)))
| multiply(X_70,inverse(inverse(X_30))) = multiply(X_30,X_70) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X_30,X_70))),bind(Y0,$fot(multiply(X_70,inverse(inverse(X_30)))))]]) ).
cnf(refute_0_519,plain,
multiply(X_70,inverse(inverse(X_30))) = multiply(X_30,X_70),
inference(resolve,[$cnf( $equal(multiply(X_30,X_70),multiply(X_70,inverse(inverse(X_30)))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
multiply(X_15,inverse(inverse(X_15))) = multiply(X_15,X_15),
inference(subst,[],[refute_0_519:[bind(X_30,$fot(X_15)),bind(X_70,$fot(X_15))]]) ).
cnf(refute_0_521,plain,
( multiply(X_15,X_15) != X_15
| multiply(X_15,inverse(inverse(X_15))) != multiply(X_15,X_15)
| multiply(X_15,inverse(inverse(X_15))) = X_15 ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(X_15,inverse(inverse(X_15))))),bind(Y0,$fot(multiply(X_15,X_15))),bind(Z0,$fot(X_15))]]) ).
cnf(refute_0_522,plain,
( multiply(X_15,X_15) != X_15
| multiply(X_15,inverse(inverse(X_15))) = X_15 ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(inverse(X_15))),multiply(X_15,X_15)) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
multiply(X_15,inverse(inverse(X_15))) = X_15,
inference(resolve,[$cnf( $equal(multiply(X_15,X_15),X_15) )],[refute_0_426,refute_0_522]) ).
cnf(refute_0_524,plain,
( multiply(X_15,inverse(inverse(X_15))) != X_15
| multiply(X_15,inverse(inverse(X_15))) != inverse(inverse(X_15))
| X_15 = inverse(inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(inverse(X_15))),inverse(inverse(X_15))) ),[0],$fot(X_15)]]) ).
cnf(refute_0_525,plain,
( multiply(X_15,inverse(inverse(X_15))) != inverse(inverse(X_15))
| X_15 = inverse(inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(inverse(X_15))),X_15) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
X_15 = inverse(inverse(X_15)),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(inverse(X_15))),inverse(inverse(X_15))) )],[refute_0_420,refute_0_525]) ).
cnf(refute_0_527,plain,
( X_15 != inverse(inverse(X_15))
| inverse(inverse(X_15)) = X_15 ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(X_15)),bind(Y0,$fot(inverse(inverse(X_15))))]]) ).
cnf(refute_0_528,plain,
inverse(inverse(X_15)) = X_15,
inference(resolve,[$cnf( $equal(X_15,inverse(inverse(X_15))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
add(X_97,inverse(inverse(X_15))) = add(X_97,inverse(inverse(X_15))),
introduced(tautology,[refl,[$fot(add(X_97,inverse(inverse(X_15))))]]) ).
cnf(refute_0_530,plain,
( add(X_97,inverse(inverse(X_15))) != add(X_97,inverse(inverse(X_15)))
| inverse(inverse(X_15)) != X_15
| add(X_97,inverse(inverse(X_15))) = add(X_97,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_97,inverse(inverse(X_15))),add(X_97,inverse(inverse(X_15)))) ),[1,1],$fot(X_15)]]) ).
cnf(refute_0_531,plain,
( inverse(inverse(X_15)) != X_15
| add(X_97,inverse(inverse(X_15))) = add(X_97,X_15) ),
inference(resolve,[$cnf( $equal(add(X_97,inverse(inverse(X_15))),add(X_97,inverse(inverse(X_15)))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
add(X_97,inverse(inverse(X_15))) = add(X_97,X_15),
inference(resolve,[$cnf( $equal(inverse(inverse(X_15)),X_15) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
add(X_15,add(X_97,inverse(inverse(X_15)))) = add(X_15,add(X_97,inverse(inverse(X_15)))),
introduced(tautology,[refl,[$fot(add(X_15,add(X_97,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_534,plain,
( add(X_15,add(X_97,inverse(inverse(X_15)))) != add(X_15,add(X_97,inverse(inverse(X_15))))
| add(X_97,inverse(inverse(X_15))) != add(X_97,X_15)
| add(X_15,add(X_97,inverse(inverse(X_15)))) = add(X_15,add(X_97,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_15,add(X_97,inverse(inverse(X_15)))),add(X_15,add(X_97,inverse(inverse(X_15))))) ),[1,1],$fot(add(X_97,X_15))]]) ).
cnf(refute_0_535,plain,
( add(X_97,inverse(inverse(X_15))) != add(X_97,X_15)
| add(X_15,add(X_97,inverse(inverse(X_15)))) = add(X_15,add(X_97,X_15)) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_97,inverse(inverse(X_15)))),add(X_15,add(X_97,inverse(inverse(X_15))))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
add(X_15,add(X_97,inverse(inverse(X_15)))) = add(X_15,add(X_97,X_15)),
inference(resolve,[$cnf( $equal(add(X_97,inverse(inverse(X_15))),add(X_97,X_15)) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
( add(X_15,add(X_97,X_15)) != add(X_15,X_97)
| add(X_15,add(X_97,inverse(inverse(X_15)))) != add(X_15,add(X_97,X_15))
| add(X_15,add(X_97,inverse(inverse(X_15)))) = add(X_15,X_97) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(X_15,add(X_97,inverse(inverse(X_15)))))),bind(Y0,$fot(add(X_15,add(X_97,X_15)))),bind(Z0,$fot(add(X_15,X_97)))]]) ).
cnf(refute_0_538,plain,
( add(X_15,add(X_97,X_15)) != add(X_15,X_97)
| add(X_15,add(X_97,inverse(inverse(X_15)))) = add(X_15,X_97) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_97,inverse(inverse(X_15)))),add(X_15,add(X_97,X_15))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
add(X_15,add(X_97,inverse(inverse(X_15)))) = add(X_15,X_97),
inference(resolve,[$cnf( $equal(add(X_15,add(X_97,X_15)),add(X_15,X_97)) )],[refute_0_385,refute_0_538]) ).
cnf(refute_0_540,plain,
add(add(X_97,inverse(inverse(X_15))),X_15) = add(X_15,add(X_97,inverse(inverse(X_15)))),
inference(subst,[],[refute_0_376:[bind(X_66,$fot(add(X_97,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_541,plain,
( add(X_15,add(X_97,inverse(inverse(X_15)))) != add(X_15,X_97)
| add(add(X_97,inverse(inverse(X_15))),X_15) != add(X_15,add(X_97,inverse(inverse(X_15))))
| add(add(X_97,inverse(inverse(X_15))),X_15) = add(X_15,X_97) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(add(X_97,inverse(inverse(X_15))),X_15))),bind(Y0,$fot(add(X_15,add(X_97,inverse(inverse(X_15)))))),bind(Z0,$fot(add(X_15,X_97)))]]) ).
cnf(refute_0_542,plain,
( add(X_15,add(X_97,inverse(inverse(X_15)))) != add(X_15,X_97)
| add(add(X_97,inverse(inverse(X_15))),X_15) = add(X_15,X_97) ),
inference(resolve,[$cnf( $equal(add(add(X_97,inverse(inverse(X_15))),X_15),add(X_15,add(X_97,inverse(inverse(X_15))))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
add(add(X_97,inverse(inverse(X_15))),X_15) = add(X_15,X_97),
inference(resolve,[$cnf( $equal(add(X_15,add(X_97,inverse(inverse(X_15)))),add(X_15,X_97)) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)),
introduced(tautology,[refl,[$fot(multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)))]]) ).
cnf(refute_0_545,plain,
( multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) != multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15))
| add(add(X_97,inverse(inverse(X_15))),X_15) != add(X_15,X_97)
| multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)),multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15))) ),[1,1],$fot(add(X_15,X_97))]]) ).
cnf(refute_0_546,plain,
( add(add(X_97,inverse(inverse(X_15))),X_15) != add(X_15,X_97)
| multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)),multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15))) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)),
inference(resolve,[$cnf( $equal(add(add(X_97,inverse(inverse(X_15))),X_15),add(X_15,X_97)) )],[refute_0_543,refute_0_546]) ).
cnf(refute_0_548,plain,
add(inverse(X_15),X_15) = add(X_15,inverse(X_15)),
inference(subst,[],[refute_0_376:[bind(X_66,$fot(inverse(X_15)))]]) ).
cnf(refute_0_549,plain,
add(inverse(X_15),inverse(inverse(X_15))) = add(inverse(X_15),inverse(inverse(X_15))),
introduced(tautology,[refl,[$fot(add(inverse(X_15),inverse(inverse(X_15))))]]) ).
cnf(refute_0_550,plain,
( add(inverse(X_15),inverse(inverse(X_15))) != add(inverse(X_15),inverse(inverse(X_15)))
| inverse(inverse(X_15)) != X_15
| add(inverse(X_15),inverse(inverse(X_15))) = add(inverse(X_15),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_15),inverse(inverse(X_15))),add(inverse(X_15),inverse(inverse(X_15)))) ),[1,1],$fot(X_15)]]) ).
cnf(refute_0_551,plain,
( inverse(inverse(X_15)) != X_15
| add(inverse(X_15),inverse(inverse(X_15))) = add(inverse(X_15),X_15) ),
inference(resolve,[$cnf( $equal(add(inverse(X_15),inverse(inverse(X_15))),add(inverse(X_15),inverse(inverse(X_15)))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
add(inverse(X_15),inverse(inverse(X_15))) = add(inverse(X_15),X_15),
inference(resolve,[$cnf( $equal(inverse(inverse(X_15)),X_15) )],[refute_0_528,refute_0_551]) ).
cnf(refute_0_553,plain,
( add(inverse(X_15),X_15) != add(X_15,inverse(X_15))
| add(inverse(X_15),inverse(inverse(X_15))) != add(inverse(X_15),X_15)
| add(inverse(X_15),inverse(inverse(X_15))) = add(X_15,inverse(X_15)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(inverse(X_15),inverse(inverse(X_15))))),bind(Y0,$fot(add(inverse(X_15),X_15))),bind(Z0,$fot(add(X_15,inverse(X_15))))]]) ).
cnf(refute_0_554,plain,
( add(inverse(X_15),X_15) != add(X_15,inverse(X_15))
| add(inverse(X_15),inverse(inverse(X_15))) = add(X_15,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_15),inverse(inverse(X_15))),add(inverse(X_15),X_15)) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
add(inverse(X_15),inverse(inverse(X_15))) = add(X_15,inverse(X_15)),
inference(resolve,[$cnf( $equal(add(inverse(X_15),X_15),add(X_15,inverse(X_15))) )],[refute_0_548,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)),
introduced(tautology,[refl,[$fot(multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)))]]) ).
cnf(refute_0_557,plain,
( multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) != multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15))
| add(inverse(X_15),inverse(inverse(X_15))) != add(X_15,inverse(X_15))
| multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)),multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15))) ),[1,0],$fot(add(X_15,inverse(X_15)))]]) ).
cnf(refute_0_558,plain,
( add(inverse(X_15),inverse(inverse(X_15))) != add(X_15,inverse(X_15))
| multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)),multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)),
inference(resolve,[$cnf( $equal(add(inverse(X_15),inverse(inverse(X_15))),add(X_15,inverse(X_15))) )],[refute_0_555,refute_0_558]) ).
cnf(refute_0_560,plain,
( multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) != multiply(add(X_15,inverse(X_15)),add(X_15,X_97))
| multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) != multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15))
| multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)))),bind(Y0,$fot(multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)))),bind(Z0,$fot(multiply(add(X_15,inverse(X_15)),add(X_15,X_97))))]]) ).
cnf(refute_0_561,plain,
( multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)) != multiply(add(X_15,inverse(X_15)),add(X_15,X_97))
| multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)),multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)),
inference(resolve,[$cnf( $equal(multiply(add(X_15,inverse(X_15)),add(add(X_97,inverse(inverse(X_15))),X_15)),multiply(add(X_15,inverse(X_15)),add(X_15,X_97))) )],[refute_0_547,refute_0_561]) ).
cnf(refute_0_563,plain,
inverse(inverse(X_30)) = X_30,
inference(subst,[],[refute_0_528:[bind(X_15,$fot(X_30))]]) ).
cnf(refute_0_564,plain,
multiply(X_70,inverse(inverse(X_30))) = multiply(X_70,inverse(inverse(X_30))),
introduced(tautology,[refl,[$fot(multiply(X_70,inverse(inverse(X_30))))]]) ).
cnf(refute_0_565,plain,
( multiply(X_70,inverse(inverse(X_30))) != multiply(X_70,inverse(inverse(X_30)))
| inverse(inverse(X_30)) != X_30
| multiply(X_70,inverse(inverse(X_30))) = multiply(X_70,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_70,inverse(inverse(X_30))),multiply(X_70,inverse(inverse(X_30)))) ),[1,1],$fot(X_30)]]) ).
cnf(refute_0_566,plain,
( inverse(inverse(X_30)) != X_30
| multiply(X_70,inverse(inverse(X_30))) = multiply(X_70,X_30) ),
inference(resolve,[$cnf( $equal(multiply(X_70,inverse(inverse(X_30))),multiply(X_70,inverse(inverse(X_30)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
multiply(X_70,inverse(inverse(X_30))) = multiply(X_70,X_30),
inference(resolve,[$cnf( $equal(inverse(inverse(X_30)),X_30) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
( multiply(X_30,X_70) != multiply(X_70,inverse(inverse(X_30)))
| multiply(X_70,inverse(inverse(X_30))) != multiply(X_70,X_30)
| multiply(X_30,X_70) = multiply(X_70,X_30) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_30,X_70),multiply(X_70,X_30)) ),[0],$fot(multiply(X_70,inverse(inverse(X_30))))]]) ).
cnf(refute_0_569,plain,
( multiply(X_30,X_70) != multiply(X_70,inverse(inverse(X_30)))
| multiply(X_30,X_70) = multiply(X_70,X_30) ),
inference(resolve,[$cnf( $equal(multiply(X_70,inverse(inverse(X_30))),multiply(X_70,X_30)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(X_30,X_70) = multiply(X_70,X_30),
inference(resolve,[$cnf( $equal(multiply(X_30,X_70),multiply(X_70,inverse(inverse(X_30)))) )],[refute_0_517,refute_0_569]) ).
cnf(refute_0_571,plain,
( multiply(X_30,X_70) != multiply(X_70,X_30)
| multiply(X_70,X_30) = multiply(X_30,X_70) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X_30,X_70))),bind(Y0,$fot(multiply(X_70,X_30)))]]) ).
cnf(refute_0_572,plain,
multiply(X_70,X_30) = multiply(X_30,X_70),
inference(resolve,[$cnf( $equal(multiply(X_30,X_70),multiply(X_70,X_30)) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) = multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)),
inference(subst,[],[refute_0_572:[bind(X_30,$fot(add(inverse(X_15),inverse(inverse(X_15))))),bind(X_70,$fot(add(add(X_97,inverse(inverse(X_15))),X_15)))]]) ).
cnf(refute_0_574,plain,
( multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) != multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15))
| multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) != multiply(add(X_15,inverse(X_15)),add(X_15,X_97))
| multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))))),bind(Y0,$fot(multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)))),bind(Z0,$fot(multiply(add(X_15,inverse(X_15)),add(X_15,X_97))))]]) ).
cnf(refute_0_575,plain,
( multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)) != multiply(add(X_15,inverse(X_15)),add(X_15,X_97))
| multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))),multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) = multiply(add(X_15,inverse(X_15)),add(X_15,X_97)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_15),inverse(inverse(X_15))),add(add(X_97,inverse(inverse(X_15))),X_15)),multiply(add(X_15,inverse(X_15)),add(X_15,X_97))) )],[refute_0_562,refute_0_575]) ).
cnf(refute_0_577,plain,
( multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) != multiply(add(X_15,inverse(X_15)),add(X_15,X_97))
| multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) != add(X_97,inverse(inverse(X_15)))
| multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) = add(X_97,inverse(inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))),add(X_97,inverse(inverse(X_15)))) ),[0],$fot(multiply(add(X_15,inverse(X_15)),add(X_15,X_97)))]]) ).
cnf(refute_0_578,plain,
( multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) != add(X_97,inverse(inverse(X_15)))
| multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) = add(X_97,inverse(inverse(X_15))) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))),multiply(add(X_15,inverse(X_15)),add(X_15,X_97))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
( multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) != add(X_97,inverse(inverse(X_15)))
| add(X_97,inverse(inverse(X_15))) != add(X_97,X_15)
| multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) = add(X_97,X_15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_15,inverse(X_15)),add(X_15,X_97)),add(X_97,X_15)) ),[0],$fot(add(X_97,inverse(inverse(X_15))))]]) ).
cnf(refute_0_580,plain,
( multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) != add(X_97,inverse(inverse(X_15)))
| multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) = add(X_97,X_15) ),
inference(resolve,[$cnf( $equal(add(X_97,inverse(inverse(X_15))),add(X_97,X_15)) )],[refute_0_532,refute_0_579]) ).
cnf(refute_0_581,plain,
( multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))) != add(X_97,inverse(inverse(X_15)))
| multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) = add(X_97,X_15) ),
inference(resolve,[$cnf( $equal(multiply(add(X_15,inverse(X_15)),add(X_15,X_97)),add(X_97,inverse(inverse(X_15)))) )],[refute_0_578,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(add(X_15,inverse(X_15)),add(X_15,X_97)) = add(X_97,X_15),
inference(resolve,[$cnf( $equal(multiply(add(add(X_97,inverse(inverse(X_15))),X_15),add(inverse(X_15),inverse(inverse(X_15)))),add(X_97,inverse(inverse(X_15)))) )],[refute_0_384,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) = add(inverse(add(X_97,inverse(X_14))),X_14),
inference(subst,[],[refute_0_582:[bind(X_15,$fot(X_14)),bind(X_97,$fot(inverse(add(X_97,inverse(X_14)))))]]) ).
cnf(refute_0_584,plain,
( multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) != add(inverse(add(X_97,inverse(X_14))),X_14)
| add(inverse(add(X_97,inverse(X_14))),X_14) != add(X_14,inverse(add(X_97,inverse(X_14))))
| multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) = add(X_14,inverse(add(X_97,inverse(X_14)))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))))),bind(Y0,$fot(add(inverse(add(X_97,inverse(X_14))),X_14))),bind(Z0,$fot(add(X_14,inverse(add(X_97,inverse(X_14))))))]]) ).
cnf(refute_0_585,plain,
( add(inverse(add(X_97,inverse(X_14))),X_14) != add(X_14,inverse(add(X_97,inverse(X_14))))
| multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) = add(X_14,inverse(add(X_97,inverse(X_14)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))),add(inverse(add(X_97,inverse(X_14))),X_14)) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) = add(X_14,inverse(add(X_97,inverse(X_14)))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_97,inverse(X_14))),X_14),add(X_14,inverse(add(X_97,inverse(X_14))))) )],[refute_0_377,refute_0_585]) ).
cnf(refute_0_587,plain,
multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)),
introduced(tautology,[refl,[$fot(multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)))]]) ).
cnf(refute_0_588,plain,
( multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) != multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14))
| add(inverse(add(X_97,inverse(X_14))),X_14) != add(X_14,inverse(add(X_97,inverse(X_14))))
| multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)),multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14))) ),[1,1],$fot(add(X_14,inverse(add(X_97,inverse(X_14)))))]]) ).
cnf(refute_0_589,plain,
( add(inverse(add(X_97,inverse(X_14))),X_14) != add(X_14,inverse(add(X_97,inverse(X_14))))
| multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)),multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_97,inverse(X_14))),X_14),add(X_14,inverse(add(X_97,inverse(X_14))))) )],[refute_0_377,refute_0_589]) ).
cnf(refute_0_591,plain,
( multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) != add(X_14,inverse(add(X_97,inverse(X_14))))
| multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) != multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14)))))
| multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = add(X_14,inverse(add(X_97,inverse(X_14)))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)))),bind(Y0,$fot(multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))))),bind(Z0,$fot(add(X_14,inverse(add(X_97,inverse(X_14))))))]]) ).
cnf(refute_0_592,plain,
( multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) != add(X_14,inverse(add(X_97,inverse(X_14))))
| multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = add(X_14,inverse(add(X_97,inverse(X_14)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)),multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14)))))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) = add(X_14,inverse(add(X_97,inverse(X_14)))),
inference(resolve,[$cnf( $equal(multiply(add(X_14,inverse(X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))),add(X_14,inverse(add(X_97,inverse(X_14))))) )],[refute_0_586,refute_0_592]) ).
cnf(refute_0_594,plain,
( multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) != X_14
| multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) != add(X_14,inverse(add(X_97,inverse(X_14))))
| add(X_14,inverse(add(X_97,inverse(X_14)))) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)),X_14) ),[0],$fot(add(X_14,inverse(add(X_97,inverse(X_14)))))]]) ).
cnf(refute_0_595,plain,
( multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)) != X_14
| add(X_14,inverse(add(X_97,inverse(X_14)))) = X_14 ),
inference(resolve,[$cnf( $equal(multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)),add(X_14,inverse(add(X_97,inverse(X_14))))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
add(X_14,inverse(add(X_97,inverse(X_14)))) = X_14,
inference(resolve,[$cnf( $equal(multiply(add(X_14,inverse(X_14)),add(inverse(add(X_97,inverse(X_14))),X_14)),X_14) )],[refute_0_228,refute_0_595]) ).
cnf(refute_0_597,plain,
add(inverse(X_15),inverse(add(X_106,inverse(inverse(X_15))))) = inverse(X_15),
inference(subst,[],[refute_0_596:[bind(X_14,$fot(inverse(X_15))),bind(X_97,$fot(X_106))]]) ).
cnf(refute_0_598,plain,
( add(inverse(X_15),inverse(add(X_106,inverse(inverse(X_15))))) != inverse(X_15)
| inverse(inverse(X_15)) != X_15
| add(inverse(X_15),inverse(add(X_106,X_15))) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_15),inverse(add(X_106,inverse(inverse(X_15))))),inverse(X_15)) ),[0,1,0,1],$fot(X_15)]]) ).
cnf(refute_0_599,plain,
( add(inverse(X_15),inverse(add(X_106,inverse(inverse(X_15))))) != inverse(X_15)
| add(inverse(X_15),inverse(add(X_106,X_15))) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_15)),X_15) )],[refute_0_528,refute_0_598]) ).
cnf(refute_0_600,plain,
add(inverse(X_15),inverse(add(X_106,X_15))) = inverse(X_15),
inference(resolve,[$cnf( $equal(add(inverse(X_15),inverse(add(X_106,inverse(inverse(X_15))))),inverse(X_15)) )],[refute_0_597,refute_0_599]) ).
cnf(refute_0_601,plain,
add(inverse(Y),inverse(add(X,Y))) = inverse(Y),
inference(subst,[],[refute_0_600:[bind(X_106,$fot(X)),bind(X_15,$fot(Y))]]) ).
cnf(refute_0_602,plain,
add(X,add(inverse(Y),inverse(add(X,Y)))) = add(X,add(inverse(Y),inverse(add(X,Y)))),
introduced(tautology,[refl,[$fot(add(X,add(inverse(Y),inverse(add(X,Y)))))]]) ).
cnf(refute_0_603,plain,
( add(X,add(inverse(Y),inverse(add(X,Y)))) != add(X,add(inverse(Y),inverse(add(X,Y))))
| add(inverse(Y),inverse(add(X,Y))) != inverse(Y)
| add(X,add(inverse(Y),inverse(add(X,Y)))) = add(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,add(inverse(Y),inverse(add(X,Y)))),add(X,add(inverse(Y),inverse(add(X,Y))))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_604,plain,
( add(inverse(Y),inverse(add(X,Y))) != inverse(Y)
| add(X,add(inverse(Y),inverse(add(X,Y)))) = add(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(add(X,add(inverse(Y),inverse(add(X,Y)))),add(X,add(inverse(Y),inverse(add(X,Y))))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
add(X,add(inverse(Y),inverse(add(X,Y)))) = add(X,inverse(Y)),
inference(resolve,[$cnf( $equal(add(inverse(Y),inverse(add(X,Y))),inverse(Y)) )],[refute_0_601,refute_0_604]) ).
cnf(refute_0_606,plain,
( add(X,add(inverse(Y),inverse(add(X,Y)))) != add(X,inverse(Y))
| add(X,add(inverse(Y),inverse(add(X,Y)))) != add(X,inverse(add(X,Y)))
| add(X,inverse(Y)) = add(X,inverse(add(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,add(inverse(Y),inverse(add(X,Y)))),add(X,inverse(add(X,Y)))) ),[0],$fot(add(X,inverse(Y)))]]) ).
cnf(refute_0_607,plain,
( add(X,add(inverse(Y),inverse(add(X,Y)))) != add(X,inverse(add(X,Y)))
| add(X,inverse(Y)) = add(X,inverse(add(X,Y))) ),
inference(resolve,[$cnf( $equal(add(X,add(inverse(Y),inverse(add(X,Y)))),add(X,inverse(Y))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
add(X,inverse(Y)) = add(X,inverse(add(X,Y))),
inference(resolve,[$cnf( $equal(add(X,add(inverse(Y),inverse(add(X,Y)))),add(X,inverse(add(X,Y)))) )],[refute_0_215,refute_0_607]) ).
cnf(refute_0_609,plain,
( add(X,inverse(Y)) != add(X,inverse(add(X,Y)))
| add(X,inverse(add(X,Y))) = add(X,inverse(Y)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X,inverse(Y)))),bind(Y0,$fot(add(X,inverse(add(X,Y)))))]]) ).
cnf(refute_0_610,plain,
add(X,inverse(add(X,Y))) = add(X,inverse(Y)),
inference(resolve,[$cnf( $equal(add(X,inverse(Y)),add(X,inverse(add(X,Y)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
add(X_140,inverse(add(X_140,X_15))) = add(X_140,inverse(X_15)),
inference(subst,[],[refute_0_610:[bind(X,$fot(X_140)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_612,plain,
multiply(X,add(Y,add(X,inverse(Y)))) = X,
inference(subst,[],[l2:[bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_613,plain,
add(Y,inverse(Y)) = add(Y,add(X,inverse(Y))),
inference(subst,[],[refute_0_110:[bind(X_18,$fot(X)),bind(X_71,$fot(Y))]]) ).
cnf(refute_0_614,plain,
( add(Y,inverse(Y)) != add(Y,add(X,inverse(Y)))
| add(Y,add(X,inverse(Y))) = add(Y,inverse(Y)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(Y,inverse(Y)))),bind(Y0,$fot(add(Y,add(X,inverse(Y)))))]]) ).
cnf(refute_0_615,plain,
add(Y,add(X,inverse(Y))) = add(Y,inverse(Y)),
inference(resolve,[$cnf( $equal(add(Y,inverse(Y)),add(Y,add(X,inverse(Y)))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
( multiply(X,add(Y,add(X,inverse(Y)))) != X
| add(Y,add(X,inverse(Y))) != add(Y,inverse(Y))
| multiply(X,add(Y,inverse(Y))) = X ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,add(X,inverse(Y)))),X) ),[0,1],$fot(add(Y,inverse(Y)))]]) ).
cnf(refute_0_617,plain,
( multiply(X,add(Y,add(X,inverse(Y)))) != X
| multiply(X,add(Y,inverse(Y))) = X ),
inference(resolve,[$cnf( $equal(add(Y,add(X,inverse(Y))),add(Y,inverse(Y))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(X,add(Y,inverse(Y))) = X,
inference(resolve,[$cnf( $equal(multiply(X,add(Y,add(X,inverse(Y)))),X) )],[refute_0_612,refute_0_617]) ).
cnf(refute_0_619,plain,
multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140))) = inverse(add(X_140,X_15)),
inference(subst,[],[refute_0_618:[bind(X,$fot(inverse(add(X_140,X_15)))),bind(Y,$fot(X_140))]]) ).
cnf(refute_0_620,plain,
add(inverse(X_62),add(X_17,X_62)) = add(inverse(X_62),multiply(X_62,add(X_17,X_62))),
inference(subst,[],[refute_0_126:[bind(X_24,$fot(X_62)),bind(X_40,$fot(add(X_17,X_62)))]]) ).
cnf(refute_0_621,plain,
multiply(X_62,add(X_17,X_62)) = X_62,
inference(subst,[],[refute_0_234:[bind(X_16,$fot(X_62))]]) ).
cnf(refute_0_622,plain,
( multiply(X_62,add(X_17,X_62)) != X_62
| add(inverse(X_62),add(X_17,X_62)) != add(inverse(X_62),multiply(X_62,add(X_17,X_62)))
| add(inverse(X_62),add(X_17,X_62)) = add(inverse(X_62),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_62),add(X_17,X_62)),add(inverse(X_62),multiply(X_62,add(X_17,X_62)))) ),[1,1],$fot(X_62)]]) ).
cnf(refute_0_623,plain,
( add(inverse(X_62),add(X_17,X_62)) != add(inverse(X_62),multiply(X_62,add(X_17,X_62)))
| add(inverse(X_62),add(X_17,X_62)) = add(inverse(X_62),X_62) ),
inference(resolve,[$cnf( $equal(multiply(X_62,add(X_17,X_62)),X_62) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
add(inverse(X_62),add(X_17,X_62)) = add(inverse(X_62),X_62),
inference(resolve,[$cnf( $equal(add(inverse(X_62),add(X_17,X_62)),add(inverse(X_62),multiply(X_62,add(X_17,X_62)))) )],[refute_0_620,refute_0_623]) ).
cnf(refute_0_625,plain,
add(X,add(X_49,X_50)) = add(add(X_49,X_50),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(add(X_49,X_50)))]]) ).
cnf(refute_0_626,plain,
add(add(X_49,X_50),X) = add(X_49,add(X_50,X)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_49)),bind(Y,$fot(X_50)),bind(Z,$fot(X))]]) ).
cnf(refute_0_627,plain,
( add(X,add(X_49,X_50)) != add(add(X_49,X_50),X)
| add(add(X_49,X_50),X) != add(X_49,add(X_50,X))
| add(X,add(X_49,X_50)) = add(X_49,add(X_50,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,add(X_49,X_50)),add(X_49,add(X_50,X))) ),[0],$fot(add(add(X_49,X_50),X))]]) ).
cnf(refute_0_628,plain,
( add(X,add(X_49,X_50)) != add(add(X_49,X_50),X)
| add(X,add(X_49,X_50)) = add(X_49,add(X_50,X)) ),
inference(resolve,[$cnf( $equal(add(add(X_49,X_50),X),add(X_49,add(X_50,X))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
add(X,add(X_49,X_50)) = add(X_49,add(X_50,X)),
inference(resolve,[$cnf( $equal(add(X,add(X_49,X_50)),add(add(X_49,X_50),X)) )],[refute_0_625,refute_0_628]) ).
cnf(refute_0_630,plain,
( add(X,add(X_49,X_50)) != add(X_49,add(X_50,X))
| add(X_49,add(X_50,X)) = add(X,add(X_49,X_50)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X,add(X_49,X_50)))),bind(Y0,$fot(add(X_49,add(X_50,X))))]]) ).
cnf(refute_0_631,plain,
add(X_49,add(X_50,X)) = add(X,add(X_49,X_50)),
inference(resolve,[$cnf( $equal(add(X,add(X_49,X_50)),add(X_49,add(X_50,X))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
add(inverse(X_62),add(X_17,X_62)) = add(X_62,add(inverse(X_62),X_17)),
inference(subst,[],[refute_0_631:[bind(X,$fot(X_62)),bind(X_49,$fot(inverse(X_62))),bind(X_50,$fot(X_17))]]) ).
cnf(refute_0_633,plain,
( add(inverse(X_62),add(X_17,X_62)) != add(X_62,add(inverse(X_62),X_17))
| add(inverse(X_62),add(X_17,X_62)) != add(inverse(X_62),X_62)
| add(X_62,add(inverse(X_62),X_17)) = add(inverse(X_62),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_62),add(X_17,X_62)),add(inverse(X_62),X_62)) ),[0],$fot(add(X_62,add(inverse(X_62),X_17)))]]) ).
cnf(refute_0_634,plain,
( add(inverse(X_62),add(X_17,X_62)) != add(inverse(X_62),X_62)
| add(X_62,add(inverse(X_62),X_17)) = add(inverse(X_62),X_62) ),
inference(resolve,[$cnf( $equal(add(inverse(X_62),add(X_17,X_62)),add(X_62,add(inverse(X_62),X_17))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
add(inverse(X_62),X_62) = add(X_62,inverse(X_62)),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_62)),bind(Y,$fot(inverse(X_62)))]]) ).
cnf(refute_0_636,plain,
( add(X_62,add(inverse(X_62),X_17)) != add(inverse(X_62),X_62)
| add(inverse(X_62),X_62) != add(X_62,inverse(X_62))
| add(X_62,add(inverse(X_62),X_17)) = add(X_62,inverse(X_62)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_62,add(inverse(X_62),X_17)),add(X_62,inverse(X_62))) ),[0],$fot(add(inverse(X_62),X_62))]]) ).
cnf(refute_0_637,plain,
( add(X_62,add(inverse(X_62),X_17)) != add(inverse(X_62),X_62)
| add(X_62,add(inverse(X_62),X_17)) = add(X_62,inverse(X_62)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_62),X_62),add(X_62,inverse(X_62))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
( add(inverse(X_62),add(X_17,X_62)) != add(inverse(X_62),X_62)
| add(X_62,add(inverse(X_62),X_17)) = add(X_62,inverse(X_62)) ),
inference(resolve,[$cnf( $equal(add(X_62,add(inverse(X_62),X_17)),add(inverse(X_62),X_62)) )],[refute_0_634,refute_0_637]) ).
cnf(refute_0_639,plain,
add(X_62,add(inverse(X_62),X_17)) = add(X_62,inverse(X_62)),
inference(resolve,[$cnf( $equal(add(inverse(X_62),add(X_17,X_62)),add(inverse(X_62),X_62)) )],[refute_0_624,refute_0_638]) ).
cnf(refute_0_640,plain,
add(X_140,add(inverse(X_140),X_15)) = add(X_140,inverse(X_140)),
inference(subst,[],[refute_0_639:[bind(X_17,$fot(X_15)),bind(X_62,$fot(X_140))]]) ).
cnf(refute_0_641,plain,
add(multiply(X_39,X_38),multiply(X_38,inverse(X_39))) = X_38,
inference(subst,[],[refute_0_9:[bind(X_23,$fot(X_38)),bind(X_24,$fot(X_39))]]) ).
cnf(refute_0_642,plain,
multiply(inverse(X_39),X_38) = multiply(X_38,inverse(X_39)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(inverse(X_39))),bind(Y,$fot(X_38))]]) ).
cnf(refute_0_643,plain,
( multiply(inverse(X_39),X_38) != multiply(X_38,inverse(X_39))
| multiply(X_38,inverse(X_39)) = multiply(inverse(X_39),X_38) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(inverse(X_39),X_38))),bind(Y0,$fot(multiply(X_38,inverse(X_39))))]]) ).
cnf(refute_0_644,plain,
multiply(X_38,inverse(X_39)) = multiply(inverse(X_39),X_38),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),X_38),multiply(X_38,inverse(X_39))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
( multiply(X_38,inverse(X_39)) != multiply(inverse(X_39),X_38)
| add(multiply(X_39,X_38),multiply(X_38,inverse(X_39))) != X_38
| add(multiply(X_39,X_38),multiply(inverse(X_39),X_38)) = X_38 ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_39,X_38),multiply(X_38,inverse(X_39))),X_38) ),[0,1],$fot(multiply(inverse(X_39),X_38))]]) ).
cnf(refute_0_646,plain,
( add(multiply(X_39,X_38),multiply(X_38,inverse(X_39))) != X_38
| add(multiply(X_39,X_38),multiply(inverse(X_39),X_38)) = X_38 ),
inference(resolve,[$cnf( $equal(multiply(X_38,inverse(X_39)),multiply(inverse(X_39),X_38)) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
add(multiply(X_39,X_38),multiply(inverse(X_39),X_38)) = X_38,
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_38),multiply(X_38,inverse(X_39))),X_38) )],[refute_0_641,refute_0_646]) ).
cnf(refute_0_648,plain,
add(multiply(X_116,add(X_17,add(X_18,X_116))),multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) = add(X_17,add(X_18,X_116)),
inference(subst,[],[refute_0_647:[bind(X_38,$fot(add(X_17,add(X_18,X_116)))),bind(X_39,$fot(X_116))]]) ).
cnf(refute_0_649,plain,
multiply(X_116,add(X_17,add(X_18,X_116))) = X_116,
inference(subst,[],[refute_0_106:[bind(X_16,$fot(X_116))]]) ).
cnf(refute_0_650,plain,
( multiply(X_116,add(X_17,add(X_18,X_116))) != X_116
| add(multiply(X_116,add(X_17,add(X_18,X_116))),multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) != add(X_17,add(X_18,X_116))
| add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) = add(X_17,add(X_18,X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_116,add(X_17,add(X_18,X_116))),multiply(inverse(X_116),add(X_17,add(X_18,X_116)))),add(X_17,add(X_18,X_116))) ),[0,0],$fot(X_116)]]) ).
cnf(refute_0_651,plain,
( add(multiply(X_116,add(X_17,add(X_18,X_116))),multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) != add(X_17,add(X_18,X_116))
| add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) = add(X_17,add(X_18,X_116)) ),
inference(resolve,[$cnf( $equal(multiply(X_116,add(X_17,add(X_18,X_116))),X_116) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) = add(X_17,add(X_18,X_116)),
inference(resolve,[$cnf( $equal(add(multiply(X_116,add(X_17,add(X_18,X_116))),multiply(inverse(X_116),add(X_17,add(X_18,X_116)))),add(X_17,add(X_18,X_116))) )],[refute_0_648,refute_0_651]) ).
cnf(refute_0_653,plain,
add(X_116,add(X_17,add(X_18,X_116))) = add(X_116,add(X_17,X_18)),
inference(subst,[],[refute_0_342:[bind(Z,$fot(X_17)),bind(X_40,$fot(X_116)),bind(X_42,$fot(X_18))]]) ).
cnf(refute_0_654,plain,
add(inverse(inverse(X_80)),X_40) = add(inverse(inverse(X_80)),multiply(inverse(X_80),X_40)),
inference(subst,[],[refute_0_126:[bind(X_24,$fot(inverse(X_80)))]]) ).
cnf(refute_0_655,plain,
X_80 = inverse(inverse(X_80)),
inference(subst,[],[refute_0_526:[bind(X_15,$fot(X_80))]]) ).
cnf(refute_0_656,plain,
( X_80 != inverse(inverse(X_80))
| inverse(inverse(X_80)) = X_80 ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(X_80)),bind(Y0,$fot(inverse(inverse(X_80))))]]) ).
cnf(refute_0_657,plain,
inverse(inverse(X_80)) = X_80,
inference(resolve,[$cnf( $equal(X_80,inverse(inverse(X_80))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
( add(inverse(inverse(X_80)),X_40) != add(inverse(inverse(X_80)),multiply(inverse(X_80),X_40))
| inverse(inverse(X_80)) != X_80
| add(inverse(inverse(X_80)),X_40) = add(X_80,multiply(inverse(X_80),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_80)),X_40),add(inverse(inverse(X_80)),multiply(inverse(X_80),X_40))) ),[1,0],$fot(X_80)]]) ).
cnf(refute_0_659,plain,
( add(inverse(inverse(X_80)),X_40) != add(inverse(inverse(X_80)),multiply(inverse(X_80),X_40))
| add(inverse(inverse(X_80)),X_40) = add(X_80,multiply(inverse(X_80),X_40)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
add(inverse(inverse(X_80)),X_40) = add(X_80,multiply(inverse(X_80),X_40)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_80)),X_40),add(inverse(inverse(X_80)),multiply(inverse(X_80),X_40))) )],[refute_0_654,refute_0_659]) ).
cnf(refute_0_661,plain,
add(inverse(inverse(X_80)),X_40) = add(inverse(inverse(X_80)),X_40),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_80)),X_40))]]) ).
cnf(refute_0_662,plain,
( add(inverse(inverse(X_80)),X_40) != add(inverse(inverse(X_80)),X_40)
| inverse(inverse(X_80)) != X_80
| add(inverse(inverse(X_80)),X_40) = add(X_80,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_80)),X_40),add(inverse(inverse(X_80)),X_40)) ),[1,0],$fot(X_80)]]) ).
cnf(refute_0_663,plain,
( inverse(inverse(X_80)) != X_80
| add(inverse(inverse(X_80)),X_40) = add(X_80,X_40) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_80)),X_40),add(inverse(inverse(X_80)),X_40)) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
add(inverse(inverse(X_80)),X_40) = add(X_80,X_40),
inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_657,refute_0_663]) ).
cnf(refute_0_665,plain,
( add(inverse(inverse(X_80)),X_40) != add(X_80,X_40)
| add(inverse(inverse(X_80)),X_40) != add(X_80,multiply(inverse(X_80),X_40))
| add(X_80,X_40) = add(X_80,multiply(inverse(X_80),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_80)),X_40),add(X_80,multiply(inverse(X_80),X_40))) ),[0],$fot(add(X_80,X_40))]]) ).
cnf(refute_0_666,plain,
( add(inverse(inverse(X_80)),X_40) != add(X_80,multiply(inverse(X_80),X_40))
| add(X_80,X_40) = add(X_80,multiply(inverse(X_80),X_40)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_80)),X_40),add(X_80,X_40)) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
add(X_80,X_40) = add(X_80,multiply(inverse(X_80),X_40)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_80)),X_40),add(X_80,multiply(inverse(X_80),X_40))) )],[refute_0_660,refute_0_666]) ).
cnf(refute_0_668,plain,
( add(X_80,X_40) != add(X_80,multiply(inverse(X_80),X_40))
| add(X_80,multiply(inverse(X_80),X_40)) = add(X_80,X_40) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_80,X_40))),bind(Y0,$fot(add(X_80,multiply(inverse(X_80),X_40))))]]) ).
cnf(refute_0_669,plain,
add(X_80,multiply(inverse(X_80),X_40)) = add(X_80,X_40),
inference(resolve,[$cnf( $equal(add(X_80,X_40),add(X_80,multiply(inverse(X_80),X_40))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) = add(X_116,add(X_17,add(X_18,X_116))),
inference(subst,[],[refute_0_669:[bind(X_40,$fot(add(X_17,add(X_18,X_116)))),bind(X_80,$fot(X_116))]]) ).
cnf(refute_0_671,plain,
( add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) != add(X_116,add(X_17,add(X_18,X_116)))
| add(X_116,add(X_17,add(X_18,X_116))) != add(X_116,add(X_17,X_18))
| add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) = add(X_116,add(X_17,X_18)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))))),bind(Y0,$fot(add(X_116,add(X_17,add(X_18,X_116))))),bind(Z0,$fot(add(X_116,add(X_17,X_18))))]]) ).
cnf(refute_0_672,plain,
( add(X_116,add(X_17,add(X_18,X_116))) != add(X_116,add(X_17,X_18))
| add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) = add(X_116,add(X_17,X_18)) ),
inference(resolve,[$cnf( $equal(add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))),add(X_116,add(X_17,add(X_18,X_116)))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) = add(X_116,add(X_17,X_18)),
inference(resolve,[$cnf( $equal(add(X_116,add(X_17,add(X_18,X_116))),add(X_116,add(X_17,X_18))) )],[refute_0_653,refute_0_672]) ).
cnf(refute_0_674,plain,
( add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) != add(X_116,add(X_17,X_18))
| add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) != add(X_17,add(X_18,X_116))
| add(X_116,add(X_17,X_18)) = add(X_17,add(X_18,X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))),add(X_17,add(X_18,X_116))) ),[0],$fot(add(X_116,add(X_17,X_18)))]]) ).
cnf(refute_0_675,plain,
( add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))) != add(X_17,add(X_18,X_116))
| add(X_116,add(X_17,X_18)) = add(X_17,add(X_18,X_116)) ),
inference(resolve,[$cnf( $equal(add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))),add(X_116,add(X_17,X_18))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
add(X_116,add(X_17,X_18)) = add(X_17,add(X_18,X_116)),
inference(resolve,[$cnf( $equal(add(X_116,multiply(inverse(X_116),add(X_17,add(X_18,X_116)))),add(X_17,add(X_18,X_116))) )],[refute_0_652,refute_0_675]) ).
cnf(refute_0_677,plain,
( add(X_116,add(X_17,X_18)) != add(X_17,add(X_18,X_116))
| add(X_17,add(X_18,X_116)) = add(X_116,add(X_17,X_18)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_116,add(X_17,X_18)))),bind(Y0,$fot(add(X_17,add(X_18,X_116))))]]) ).
cnf(refute_0_678,plain,
add(X_17,add(X_18,X_116)) = add(X_116,add(X_17,X_18)),
inference(resolve,[$cnf( $equal(add(X_116,add(X_17,X_18)),add(X_17,add(X_18,X_116))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
add(inverse(X_140),add(X_15,X_140)) = add(X_140,add(inverse(X_140),X_15)),
inference(subst,[],[refute_0_678:[bind(X_116,$fot(X_140)),bind(X_17,$fot(inverse(X_140))),bind(X_18,$fot(X_15))]]) ).
cnf(refute_0_680,plain,
( add(X_140,add(inverse(X_140),X_15)) != add(X_140,inverse(X_140))
| add(inverse(X_140),add(X_15,X_140)) != add(X_140,add(inverse(X_140),X_15))
| add(inverse(X_140),add(X_15,X_140)) = add(X_140,inverse(X_140)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(inverse(X_140),add(X_15,X_140)))),bind(Y0,$fot(add(X_140,add(inverse(X_140),X_15)))),bind(Z0,$fot(add(X_140,inverse(X_140))))]]) ).
cnf(refute_0_681,plain,
( add(X_140,add(inverse(X_140),X_15)) != add(X_140,inverse(X_140))
| add(inverse(X_140),add(X_15,X_140)) = add(X_140,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_140),add(X_15,X_140)),add(X_140,add(inverse(X_140),X_15))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
add(inverse(X_140),add(X_15,X_140)) = add(X_140,inverse(X_140)),
inference(resolve,[$cnf( $equal(add(X_140,add(inverse(X_140),X_15)),add(X_140,inverse(X_140))) )],[refute_0_640,refute_0_681]) ).
cnf(refute_0_683,plain,
add(inverse(Y),add(multiply(X_40,Y),multiply(X_40,inverse(Y)))) = add(inverse(Y),multiply(X_40,Y)),
inference(subst,[],[refute_0_121:[bind(Y,$fot(X_40)),bind(X_14,$fot(inverse(Y))),bind(X_15,$fot(multiply(X_40,Y)))]]) ).
cnf(refute_0_684,plain,
add(multiply(X_40,Y),multiply(X_40,inverse(Y))) = X_40,
inference(subst,[],[b2:[bind(X,$fot(X_40))]]) ).
cnf(refute_0_685,plain,
( add(multiply(X_40,Y),multiply(X_40,inverse(Y))) != X_40
| add(inverse(Y),add(multiply(X_40,Y),multiply(X_40,inverse(Y)))) != add(inverse(Y),multiply(X_40,Y))
| add(inverse(Y),X_40) = add(inverse(Y),multiply(X_40,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(Y),add(multiply(X_40,Y),multiply(X_40,inverse(Y)))),add(inverse(Y),multiply(X_40,Y))) ),[0,1],$fot(X_40)]]) ).
cnf(refute_0_686,plain,
( add(inverse(Y),add(multiply(X_40,Y),multiply(X_40,inverse(Y)))) != add(inverse(Y),multiply(X_40,Y))
| add(inverse(Y),X_40) = add(inverse(Y),multiply(X_40,Y)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_40,Y),multiply(X_40,inverse(Y))),X_40) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
add(inverse(Y),X_40) = add(inverse(Y),multiply(X_40,Y)),
inference(resolve,[$cnf( $equal(add(inverse(Y),add(multiply(X_40,Y),multiply(X_40,inverse(Y)))),add(inverse(Y),multiply(X_40,Y))) )],[refute_0_683,refute_0_686]) ).
cnf(refute_0_688,plain,
add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) = add(inverse(add(inverse(X_104),X_103)),multiply(add(X_104,X_103),add(inverse(X_104),X_103))),
inference(subst,[],[refute_0_687:[bind(Y,$fot(add(inverse(X_104),X_103))),bind(X_40,$fot(add(X_104,X_103)))]]) ).
cnf(refute_0_689,plain,
multiply(add(X_30,X_29),add(X_29,inverse(X_30))) = X_29,
inference(subst,[],[refute_0_17:[bind(X_14,$fot(X_29)),bind(X_15,$fot(X_30))]]) ).
cnf(refute_0_690,plain,
add(inverse(X_30),X_29) = add(X_29,inverse(X_30)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(inverse(X_30))),bind(Y,$fot(X_29))]]) ).
cnf(refute_0_691,plain,
( add(inverse(X_30),X_29) != add(X_29,inverse(X_30))
| add(X_29,inverse(X_30)) = add(inverse(X_30),X_29) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(inverse(X_30),X_29))),bind(Y0,$fot(add(X_29,inverse(X_30))))]]) ).
cnf(refute_0_692,plain,
add(X_29,inverse(X_30)) = add(inverse(X_30),X_29),
inference(resolve,[$cnf( $equal(add(inverse(X_30),X_29),add(X_29,inverse(X_30))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
( multiply(add(X_30,X_29),add(X_29,inverse(X_30))) != X_29
| add(X_29,inverse(X_30)) != add(inverse(X_30),X_29)
| multiply(add(X_30,X_29),add(inverse(X_30),X_29)) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_30,X_29),add(X_29,inverse(X_30))),X_29) ),[0,1],$fot(add(inverse(X_30),X_29))]]) ).
cnf(refute_0_694,plain,
( multiply(add(X_30,X_29),add(X_29,inverse(X_30))) != X_29
| multiply(add(X_30,X_29),add(inverse(X_30),X_29)) = X_29 ),
inference(resolve,[$cnf( $equal(add(X_29,inverse(X_30)),add(inverse(X_30),X_29)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
multiply(add(X_30,X_29),add(inverse(X_30),X_29)) = X_29,
inference(resolve,[$cnf( $equal(multiply(add(X_30,X_29),add(X_29,inverse(X_30))),X_29) )],[refute_0_689,refute_0_694]) ).
cnf(refute_0_696,plain,
multiply(add(X_104,X_103),add(inverse(X_104),X_103)) = X_103,
inference(subst,[],[refute_0_695:[bind(X_29,$fot(X_103)),bind(X_30,$fot(X_104))]]) ).
cnf(refute_0_697,plain,
( multiply(add(X_104,X_103),add(inverse(X_104),X_103)) != X_103
| add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) != add(inverse(add(inverse(X_104),X_103)),multiply(add(X_104,X_103),add(inverse(X_104),X_103)))
| add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) = add(inverse(add(inverse(X_104),X_103)),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)),add(inverse(add(inverse(X_104),X_103)),multiply(add(X_104,X_103),add(inverse(X_104),X_103)))) ),[1,1],$fot(X_103)]]) ).
cnf(refute_0_698,plain,
( add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) != add(inverse(add(inverse(X_104),X_103)),multiply(add(X_104,X_103),add(inverse(X_104),X_103)))
| add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) = add(inverse(add(inverse(X_104),X_103)),X_103) ),
inference(resolve,[$cnf( $equal(multiply(add(X_104,X_103),add(inverse(X_104),X_103)),X_103) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) = add(inverse(add(inverse(X_104),X_103)),X_103),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)),add(inverse(add(inverse(X_104),X_103)),multiply(add(X_104,X_103),add(inverse(X_104),X_103)))) )],[refute_0_688,refute_0_698]) ).
cnf(refute_0_700,plain,
add(X_104,add(inverse(add(inverse(X_104),X_103)),X_103)) = add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),
inference(subst,[],[refute_0_142:[bind(X_49,$fot(X_104)),bind(X_50,$fot(X_103)),bind(X_51,$fot(inverse(add(inverse(X_104),X_103))))]]) ).
cnf(refute_0_701,plain,
add(add(X_104,X_103),X_51) = add(add(X_104,X_103),add(multiply(add(X_104,X_103),add(inverse(X_104),X_103)),X_51)),
inference(subst,[],[refute_0_349:[bind(X_10,$fot(add(inverse(X_104),X_103))),bind(X_49,$fot(add(X_104,X_103)))]]) ).
cnf(refute_0_702,plain,
( multiply(add(X_104,X_103),add(inverse(X_104),X_103)) != X_103
| add(add(X_104,X_103),X_51) != add(add(X_104,X_103),add(multiply(add(X_104,X_103),add(inverse(X_104),X_103)),X_51))
| add(add(X_104,X_103),X_51) = add(add(X_104,X_103),add(X_103,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_104,X_103),X_51),add(add(X_104,X_103),add(multiply(add(X_104,X_103),add(inverse(X_104),X_103)),X_51))) ),[1,1,0],$fot(X_103)]]) ).
cnf(refute_0_703,plain,
( add(add(X_104,X_103),X_51) != add(add(X_104,X_103),add(multiply(add(X_104,X_103),add(inverse(X_104),X_103)),X_51))
| add(add(X_104,X_103),X_51) = add(add(X_104,X_103),add(X_103,X_51)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_104,X_103),add(inverse(X_104),X_103)),X_103) )],[refute_0_696,refute_0_702]) ).
cnf(refute_0_704,plain,
add(add(X_104,X_103),X_51) = add(add(X_104,X_103),add(X_103,X_51)),
inference(resolve,[$cnf( $equal(add(add(X_104,X_103),X_51),add(add(X_104,X_103),add(multiply(add(X_104,X_103),add(inverse(X_104),X_103)),X_51))) )],[refute_0_701,refute_0_703]) ).
cnf(refute_0_705,plain,
add(add(X_104,X_103),X_51) = add(X_104,add(X_103,X_51)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_104)),bind(Y,$fot(X_103)),bind(Z,$fot(X_51))]]) ).
cnf(refute_0_706,plain,
( add(add(X_104,X_103),X_51) != add(X_104,add(X_103,X_51))
| add(add(X_104,X_103),X_51) != add(add(X_104,X_103),add(X_103,X_51))
| add(X_104,add(X_103,X_51)) = add(add(X_104,X_103),add(X_103,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_104,X_103),X_51),add(add(X_104,X_103),add(X_103,X_51))) ),[0],$fot(add(X_104,add(X_103,X_51)))]]) ).
cnf(refute_0_707,plain,
( add(add(X_104,X_103),X_51) != add(add(X_104,X_103),add(X_103,X_51))
| add(X_104,add(X_103,X_51)) = add(add(X_104,X_103),add(X_103,X_51)) ),
inference(resolve,[$cnf( $equal(add(add(X_104,X_103),X_51),add(X_104,add(X_103,X_51))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
add(X_103,add(X_104,add(X_103,X_51))) = add(X_103,add(X_104,X_51)),
inference(subst,[],[refute_0_174:[bind(X_15,$fot(X_104)),bind(X_49,$fot(X_103))]]) ).
cnf(refute_0_709,plain,
add(X_103,add(add(X_104,X_103),X_51)) = add(X_103,add(add(X_104,X_103),X_51)),
introduced(tautology,[refl,[$fot(add(X_103,add(add(X_104,X_103),X_51)))]]) ).
cnf(refute_0_710,plain,
( add(X_103,add(add(X_104,X_103),X_51)) != add(X_103,add(add(X_104,X_103),X_51))
| add(add(X_104,X_103),X_51) != add(X_104,add(X_103,X_51))
| add(X_103,add(add(X_104,X_103),X_51)) = add(X_103,add(X_104,add(X_103,X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_103,add(add(X_104,X_103),X_51)),add(X_103,add(add(X_104,X_103),X_51))) ),[1,1],$fot(add(X_104,add(X_103,X_51)))]]) ).
cnf(refute_0_711,plain,
( add(add(X_104,X_103),X_51) != add(X_104,add(X_103,X_51))
| add(X_103,add(add(X_104,X_103),X_51)) = add(X_103,add(X_104,add(X_103,X_51))) ),
inference(resolve,[$cnf( $equal(add(X_103,add(add(X_104,X_103),X_51)),add(X_103,add(add(X_104,X_103),X_51))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
add(X_103,add(add(X_104,X_103),X_51)) = add(X_103,add(X_104,add(X_103,X_51))),
inference(resolve,[$cnf( $equal(add(add(X_104,X_103),X_51),add(X_104,add(X_103,X_51))) )],[refute_0_705,refute_0_711]) ).
cnf(refute_0_713,plain,
( add(X_103,add(X_104,add(X_103,X_51))) != add(X_103,add(X_104,X_51))
| add(X_103,add(add(X_104,X_103),X_51)) != add(X_103,add(X_104,add(X_103,X_51)))
| add(X_103,add(add(X_104,X_103),X_51)) = add(X_103,add(X_104,X_51)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(X_103,add(add(X_104,X_103),X_51)))),bind(Y0,$fot(add(X_103,add(X_104,add(X_103,X_51))))),bind(Z0,$fot(add(X_103,add(X_104,X_51))))]]) ).
cnf(refute_0_714,plain,
( add(X_103,add(X_104,add(X_103,X_51))) != add(X_103,add(X_104,X_51))
| add(X_103,add(add(X_104,X_103),X_51)) = add(X_103,add(X_104,X_51)) ),
inference(resolve,[$cnf( $equal(add(X_103,add(add(X_104,X_103),X_51)),add(X_103,add(X_104,add(X_103,X_51)))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
add(X_103,add(add(X_104,X_103),X_51)) = add(X_103,add(X_104,X_51)),
inference(resolve,[$cnf( $equal(add(X_103,add(X_104,add(X_103,X_51))),add(X_103,add(X_104,X_51))) )],[refute_0_708,refute_0_714]) ).
cnf(refute_0_716,plain,
add(add(X,multiply(inverse(X),X_87)),Z) = add(X,add(multiply(inverse(X),X_87),Z)),
inference(subst,[],[associativity_of_add:[bind(Y,$fot(multiply(inverse(X),X_87)))]]) ).
cnf(refute_0_717,plain,
add(X,X_87) = add(X,multiply(inverse(X),X_87)),
inference(subst,[],[refute_0_667:[bind(X_40,$fot(X_87)),bind(X_80,$fot(X))]]) ).
cnf(refute_0_718,plain,
( add(X,X_87) != add(X,multiply(inverse(X),X_87))
| add(X,multiply(inverse(X),X_87)) = add(X,X_87) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X,X_87))),bind(Y0,$fot(add(X,multiply(inverse(X),X_87))))]]) ).
cnf(refute_0_719,plain,
add(X,multiply(inverse(X),X_87)) = add(X,X_87),
inference(resolve,[$cnf( $equal(add(X,X_87),add(X,multiply(inverse(X),X_87))) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
( add(X,multiply(inverse(X),X_87)) != add(X,X_87)
| add(add(X,multiply(inverse(X),X_87)),Z) != add(X,add(multiply(inverse(X),X_87),Z))
| add(add(X,X_87),Z) = add(X,add(multiply(inverse(X),X_87),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X,multiply(inverse(X),X_87)),Z),add(X,add(multiply(inverse(X),X_87),Z))) ),[0,0],$fot(add(X,X_87))]]) ).
cnf(refute_0_721,plain,
( add(add(X,multiply(inverse(X),X_87)),Z) != add(X,add(multiply(inverse(X),X_87),Z))
| add(add(X,X_87),Z) = add(X,add(multiply(inverse(X),X_87),Z)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(inverse(X),X_87)),add(X,X_87)) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
add(add(X,X_87),Z) = add(X,add(multiply(inverse(X),X_87),Z)),
inference(resolve,[$cnf( $equal(add(add(X,multiply(inverse(X),X_87)),Z),add(X,add(multiply(inverse(X),X_87),Z))) )],[refute_0_716,refute_0_721]) ).
cnf(refute_0_723,plain,
add(add(X,X_87),Z) = add(X,add(X_87,Z)),
inference(subst,[],[associativity_of_add:[bind(Y,$fot(X_87))]]) ).
cnf(refute_0_724,plain,
( add(add(X,X_87),Z) != add(X,add(X_87,Z))
| add(add(X,X_87),Z) != add(X,add(multiply(inverse(X),X_87),Z))
| add(X,add(X_87,Z)) = add(X,add(multiply(inverse(X),X_87),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X,X_87),Z),add(X,add(multiply(inverse(X),X_87),Z))) ),[0],$fot(add(X,add(X_87,Z)))]]) ).
cnf(refute_0_725,plain,
( add(add(X,X_87),Z) != add(X,add(multiply(inverse(X),X_87),Z))
| add(X,add(X_87,Z)) = add(X,add(multiply(inverse(X),X_87),Z)) ),
inference(resolve,[$cnf( $equal(add(add(X,X_87),Z),add(X,add(X_87,Z))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
add(add(X,multiply(inverse(X),add(X_66,X))),Z) = add(X,add(multiply(inverse(X),add(X_66,X)),Z)),
inference(subst,[],[associativity_of_add:[bind(Y,$fot(multiply(inverse(X),add(X_66,X))))]]) ).
cnf(refute_0_727,plain,
add(X,multiply(inverse(X),add(X_66,X))) = add(X_66,X),
inference(subst,[],[refute_0_246:[bind(X_17,$fot(X_66)),bind(X_39,$fot(X))]]) ).
cnf(refute_0_728,plain,
( add(X,multiply(inverse(X),add(X_66,X))) != add(X_66,X)
| add(add(X,multiply(inverse(X),add(X_66,X))),Z) != add(X,add(multiply(inverse(X),add(X_66,X)),Z))
| add(add(X_66,X),Z) = add(X,add(multiply(inverse(X),add(X_66,X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X,multiply(inverse(X),add(X_66,X))),Z),add(X,add(multiply(inverse(X),add(X_66,X)),Z))) ),[0,0],$fot(add(X_66,X))]]) ).
cnf(refute_0_729,plain,
( add(add(X,multiply(inverse(X),add(X_66,X))),Z) != add(X,add(multiply(inverse(X),add(X_66,X)),Z))
| add(add(X_66,X),Z) = add(X,add(multiply(inverse(X),add(X_66,X)),Z)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(inverse(X),add(X_66,X))),add(X_66,X)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
add(add(X_66,X),Z) = add(X,add(multiply(inverse(X),add(X_66,X)),Z)),
inference(resolve,[$cnf( $equal(add(add(X,multiply(inverse(X),add(X_66,X))),Z),add(X,add(multiply(inverse(X),add(X_66,X)),Z))) )],[refute_0_726,refute_0_729]) ).
cnf(refute_0_731,plain,
add(add(X_66,X),Z) = add(X_66,add(X,Z)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_66)),bind(Y,$fot(X))]]) ).
cnf(refute_0_732,plain,
( add(add(X_66,X),Z) != add(X,add(multiply(inverse(X),add(X_66,X)),Z))
| add(add(X_66,X),Z) != add(X_66,add(X,Z))
| add(X_66,add(X,Z)) = add(X,add(multiply(inverse(X),add(X_66,X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_66,X),Z),add(X,add(multiply(inverse(X),add(X_66,X)),Z))) ),[0],$fot(add(X_66,add(X,Z)))]]) ).
cnf(refute_0_733,plain,
( add(add(X_66,X),Z) != add(X,add(multiply(inverse(X),add(X_66,X)),Z))
| add(X_66,add(X,Z)) = add(X,add(multiply(inverse(X),add(X_66,X)),Z)) ),
inference(resolve,[$cnf( $equal(add(add(X_66,X),Z),add(X_66,add(X,Z))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
add(X_66,add(X,Z)) = add(X,add(multiply(inverse(X),add(X_66,X)),Z)),
inference(resolve,[$cnf( $equal(add(add(X_66,X),Z),add(X,add(multiply(inverse(X),add(X_66,X)),Z))) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(inverse(X_15),X_83) = multiply(inverse(X_15),add(X_83,inverse(inverse(X_15)))),
inference(subst,[],[refute_0_414:[bind(X_15,$fot(X_83)),bind(X_61,$fot(inverse(X_15)))]]) ).
cnf(refute_0_736,plain,
( multiply(inverse(X_15),X_83) != multiply(inverse(X_15),add(X_83,inverse(inverse(X_15))))
| inverse(inverse(X_15)) != X_15
| multiply(inverse(X_15),X_83) = multiply(inverse(X_15),add(X_83,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),X_83),multiply(inverse(X_15),add(X_83,inverse(inverse(X_15))))) ),[1,1,1],$fot(X_15)]]) ).
cnf(refute_0_737,plain,
( multiply(inverse(X_15),X_83) != multiply(inverse(X_15),add(X_83,inverse(inverse(X_15))))
| multiply(inverse(X_15),X_83) = multiply(inverse(X_15),add(X_83,X_15)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_15)),X_15) )],[refute_0_528,refute_0_736]) ).
cnf(refute_0_738,plain,
multiply(inverse(X_15),X_83) = multiply(inverse(X_15),add(X_83,X_15)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),X_83),multiply(inverse(X_15),add(X_83,inverse(inverse(X_15))))) )],[refute_0_735,refute_0_737]) ).
cnf(refute_0_739,plain,
( multiply(inverse(X_15),X_83) != multiply(inverse(X_15),add(X_83,X_15))
| multiply(inverse(X_15),add(X_83,X_15)) = multiply(inverse(X_15),X_83) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(inverse(X_15),X_83))),bind(Y0,$fot(multiply(inverse(X_15),add(X_83,X_15))))]]) ).
cnf(refute_0_740,plain,
multiply(inverse(X_15),add(X_83,X_15)) = multiply(inverse(X_15),X_83),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),X_83),multiply(inverse(X_15),add(X_83,X_15))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
multiply(inverse(X),add(X_66,X)) = multiply(inverse(X),X_66),
inference(subst,[],[refute_0_740:[bind(X_15,$fot(X)),bind(X_83,$fot(X_66))]]) ).
cnf(refute_0_742,plain,
add(multiply(inverse(X),add(X_66,X)),Z) = add(multiply(inverse(X),add(X_66,X)),Z),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X),add(X_66,X)),Z))]]) ).
cnf(refute_0_743,plain,
( multiply(inverse(X),add(X_66,X)) != multiply(inverse(X),X_66)
| add(multiply(inverse(X),add(X_66,X)),Z) != add(multiply(inverse(X),add(X_66,X)),Z)
| add(multiply(inverse(X),add(X_66,X)),Z) = add(multiply(inverse(X),X_66),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X),add(X_66,X)),Z),add(multiply(inverse(X),add(X_66,X)),Z)) ),[1,0],$fot(multiply(inverse(X),X_66))]]) ).
cnf(refute_0_744,plain,
( multiply(inverse(X),add(X_66,X)) != multiply(inverse(X),X_66)
| add(multiply(inverse(X),add(X_66,X)),Z) = add(multiply(inverse(X),X_66),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X),add(X_66,X)),Z),add(multiply(inverse(X),add(X_66,X)),Z)) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
add(multiply(inverse(X),add(X_66,X)),Z) = add(multiply(inverse(X),X_66),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_66,X)),multiply(inverse(X),X_66)) )],[refute_0_741,refute_0_744]) ).
cnf(refute_0_746,plain,
add(X,add(multiply(inverse(X),add(X_66,X)),Z)) = add(X,add(multiply(inverse(X),add(X_66,X)),Z)),
introduced(tautology,[refl,[$fot(add(X,add(multiply(inverse(X),add(X_66,X)),Z)))]]) ).
cnf(refute_0_747,plain,
( add(X,add(multiply(inverse(X),add(X_66,X)),Z)) != add(X,add(multiply(inverse(X),add(X_66,X)),Z))
| add(multiply(inverse(X),add(X_66,X)),Z) != add(multiply(inverse(X),X_66),Z)
| add(X,add(multiply(inverse(X),add(X_66,X)),Z)) = add(X,add(multiply(inverse(X),X_66),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,add(multiply(inverse(X),add(X_66,X)),Z)),add(X,add(multiply(inverse(X),add(X_66,X)),Z))) ),[1,1],$fot(add(multiply(inverse(X),X_66),Z))]]) ).
cnf(refute_0_748,plain,
( add(multiply(inverse(X),add(X_66,X)),Z) != add(multiply(inverse(X),X_66),Z)
| add(X,add(multiply(inverse(X),add(X_66,X)),Z)) = add(X,add(multiply(inverse(X),X_66),Z)) ),
inference(resolve,[$cnf( $equal(add(X,add(multiply(inverse(X),add(X_66,X)),Z)),add(X,add(multiply(inverse(X),add(X_66,X)),Z))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
add(X,add(multiply(inverse(X),add(X_66,X)),Z)) = add(X,add(multiply(inverse(X),X_66),Z)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X),add(X_66,X)),Z),add(multiply(inverse(X),X_66),Z)) )],[refute_0_745,refute_0_748]) ).
cnf(refute_0_750,plain,
( add(X,add(multiply(inverse(X),add(X_66,X)),Z)) != add(X,add(multiply(inverse(X),X_66),Z))
| add(X_66,add(X,Z)) != add(X,add(multiply(inverse(X),add(X_66,X)),Z))
| add(X_66,add(X,Z)) = add(X,add(multiply(inverse(X),X_66),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_66,add(X,Z)),add(X,add(multiply(inverse(X),add(X_66,X)),Z))) ),[1],$fot(add(X,add(multiply(inverse(X),X_66),Z)))]]) ).
cnf(refute_0_751,plain,
( add(X_66,add(X,Z)) != add(X,add(multiply(inverse(X),add(X_66,X)),Z))
| add(X_66,add(X,Z)) = add(X,add(multiply(inverse(X),X_66),Z)) ),
inference(resolve,[$cnf( $equal(add(X,add(multiply(inverse(X),add(X_66,X)),Z)),add(X,add(multiply(inverse(X),X_66),Z))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
add(X_66,add(X,Z)) = add(X,add(multiply(inverse(X),X_66),Z)),
inference(resolve,[$cnf( $equal(add(X_66,add(X,Z)),add(X,add(multiply(inverse(X),add(X_66,X)),Z))) )],[refute_0_734,refute_0_751]) ).
cnf(refute_0_753,plain,
( add(X_66,add(X,Z)) != add(X,add(multiply(inverse(X),X_66),Z))
| add(X,add(multiply(inverse(X),X_66),Z)) = add(X_66,add(X,Z)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_66,add(X,Z)))),bind(Y0,$fot(add(X,add(multiply(inverse(X),X_66),Z))))]]) ).
cnf(refute_0_754,plain,
add(X,add(multiply(inverse(X),X_66),Z)) = add(X_66,add(X,Z)),
inference(resolve,[$cnf( $equal(add(X_66,add(X,Z)),add(X,add(multiply(inverse(X),X_66),Z))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
add(X,add(multiply(inverse(X),X_87),Z)) = add(X_87,add(X,Z)),
inference(subst,[],[refute_0_754:[bind(X_66,$fot(X_87))]]) ).
cnf(refute_0_756,plain,
( add(X,add(X_87,Z)) != add(X,add(multiply(inverse(X),X_87),Z))
| add(X,add(multiply(inverse(X),X_87),Z)) != add(X_87,add(X,Z))
| add(X,add(X_87,Z)) = add(X_87,add(X,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,add(X_87,Z)),add(X_87,add(X,Z))) ),[0],$fot(add(X,add(multiply(inverse(X),X_87),Z)))]]) ).
cnf(refute_0_757,plain,
( add(X,add(X_87,Z)) != add(X,add(multiply(inverse(X),X_87),Z))
| add(X,add(X_87,Z)) = add(X_87,add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,add(multiply(inverse(X),X_87),Z)),add(X_87,add(X,Z))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
( add(add(X,X_87),Z) != add(X,add(multiply(inverse(X),X_87),Z))
| add(X,add(X_87,Z)) = add(X_87,add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,add(X_87,Z)),add(X,add(multiply(inverse(X),X_87),Z))) )],[refute_0_725,refute_0_757]) ).
cnf(refute_0_759,plain,
add(X,add(X_87,Z)) = add(X_87,add(X,Z)),
inference(resolve,[$cnf( $equal(add(add(X,X_87),Z),add(X,add(multiply(inverse(X),X_87),Z))) )],[refute_0_722,refute_0_758]) ).
cnf(refute_0_760,plain,
( add(X,add(X_87,Z)) != add(X_87,add(X,Z))
| add(X_87,add(X,Z)) = add(X,add(X_87,Z)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X,add(X_87,Z)))),bind(Y0,$fot(add(X_87,add(X,Z))))]]) ).
cnf(refute_0_761,plain,
add(X_87,add(X,Z)) = add(X,add(X_87,Z)),
inference(resolve,[$cnf( $equal(add(X,add(X_87,Z)),add(X_87,add(X,Z))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
add(add(X_104,X_103),add(X_103,X_51)) = add(X_103,add(add(X_104,X_103),X_51)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_103)),bind(Z,$fot(X_51)),bind(X_87,$fot(add(X_104,X_103)))]]) ).
cnf(refute_0_763,plain,
( add(X_103,add(add(X_104,X_103),X_51)) != add(X_103,add(X_104,X_51))
| add(add(X_104,X_103),add(X_103,X_51)) != add(X_103,add(add(X_104,X_103),X_51))
| add(add(X_104,X_103),add(X_103,X_51)) = add(X_103,add(X_104,X_51)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(add(X_104,X_103),add(X_103,X_51)))),bind(Y0,$fot(add(X_103,add(add(X_104,X_103),X_51)))),bind(Z0,$fot(add(X_103,add(X_104,X_51))))]]) ).
cnf(refute_0_764,plain,
( add(X_103,add(add(X_104,X_103),X_51)) != add(X_103,add(X_104,X_51))
| add(add(X_104,X_103),add(X_103,X_51)) = add(X_103,add(X_104,X_51)) ),
inference(resolve,[$cnf( $equal(add(add(X_104,X_103),add(X_103,X_51)),add(X_103,add(add(X_104,X_103),X_51))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
add(add(X_104,X_103),add(X_103,X_51)) = add(X_103,add(X_104,X_51)),
inference(resolve,[$cnf( $equal(add(X_103,add(add(X_104,X_103),X_51)),add(X_103,add(X_104,X_51))) )],[refute_0_715,refute_0_764]) ).
cnf(refute_0_766,plain,
( add(X_104,add(X_103,X_51)) != add(add(X_104,X_103),add(X_103,X_51))
| add(add(X_104,X_103),add(X_103,X_51)) != add(X_103,add(X_104,X_51))
| add(X_104,add(X_103,X_51)) = add(X_103,add(X_104,X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_104,add(X_103,X_51)),add(X_103,add(X_104,X_51))) ),[0],$fot(add(add(X_104,X_103),add(X_103,X_51)))]]) ).
cnf(refute_0_767,plain,
( add(X_104,add(X_103,X_51)) != add(add(X_104,X_103),add(X_103,X_51))
| add(X_104,add(X_103,X_51)) = add(X_103,add(X_104,X_51)) ),
inference(resolve,[$cnf( $equal(add(add(X_104,X_103),add(X_103,X_51)),add(X_103,add(X_104,X_51))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
( add(add(X_104,X_103),X_51) != add(add(X_104,X_103),add(X_103,X_51))
| add(X_104,add(X_103,X_51)) = add(X_103,add(X_104,X_51)) ),
inference(resolve,[$cnf( $equal(add(X_104,add(X_103,X_51)),add(add(X_104,X_103),add(X_103,X_51))) )],[refute_0_707,refute_0_767]) ).
cnf(refute_0_769,plain,
add(X_104,add(X_103,X_51)) = add(X_103,add(X_104,X_51)),
inference(resolve,[$cnf( $equal(add(add(X_104,X_103),X_51),add(add(X_104,X_103),add(X_103,X_51))) )],[refute_0_704,refute_0_768]) ).
cnf(refute_0_770,plain,
( add(X_104,add(X_103,X_51)) != add(X_103,add(X_104,X_51))
| add(X_103,add(X_104,X_51)) = add(X_104,add(X_103,X_51)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_104,add(X_103,X_51)))),bind(Y0,$fot(add(X_103,add(X_104,X_51))))]]) ).
cnf(refute_0_771,plain,
add(X_103,add(X_104,X_51)) = add(X_104,add(X_103,X_51)),
inference(resolve,[$cnf( $equal(add(X_104,add(X_103,X_51)),add(X_103,add(X_104,X_51))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) = add(X_104,add(inverse(add(inverse(X_104),X_103)),X_103)),
inference(subst,[],[refute_0_771:[bind(X_103,$fot(inverse(add(inverse(X_104),X_103)))),bind(X_51,$fot(X_103))]]) ).
cnf(refute_0_773,plain,
( add(X_104,add(inverse(add(inverse(X_104),X_103)),X_103)) != add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))
| add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) != add(X_104,add(inverse(add(inverse(X_104),X_103)),X_103))
| add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) = add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)))),bind(Y0,$fot(add(X_104,add(inverse(add(inverse(X_104),X_103)),X_103)))),bind(Z0,$fot(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))))]]) ).
cnf(refute_0_774,plain,
( add(X_104,add(inverse(add(inverse(X_104),X_103)),X_103)) != add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))
| add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) = add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)),add(X_104,add(inverse(add(inverse(X_104),X_103)),X_103))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) = add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),
inference(resolve,[$cnf( $equal(add(X_104,add(inverse(add(inverse(X_104),X_103)),X_103)),add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))) )],[refute_0_700,refute_0_774]) ).
cnf(refute_0_776,plain,
( add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) != add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))
| add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) != add(inverse(add(inverse(X_104),X_103)),X_103)
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(inverse(add(inverse(X_104),X_103)),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)),add(inverse(add(inverse(X_104),X_103)),X_103)) ),[0],$fot(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))))]]) ).
cnf(refute_0_777,plain,
( add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) != add(inverse(add(inverse(X_104),X_103)),X_103)
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(inverse(add(inverse(X_104),X_103)),X_103) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)),add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
add(inverse(add(inverse(X_104),X_103)),X_103) = add(X_103,inverse(add(inverse(X_104),X_103))),
inference(subst,[],[refute_0_376:[bind(X_15,$fot(X_103)),bind(X_66,$fot(inverse(add(inverse(X_104),X_103))))]]) ).
cnf(refute_0_779,plain,
( add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) != add(inverse(add(inverse(X_104),X_103)),X_103)
| add(inverse(add(inverse(X_104),X_103)),X_103) != add(X_103,inverse(add(inverse(X_104),X_103)))
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_103,inverse(add(inverse(X_104),X_103))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),add(X_103,inverse(add(inverse(X_104),X_103)))) ),[0],$fot(add(inverse(add(inverse(X_104),X_103)),X_103))]]) ).
cnf(refute_0_780,plain,
( add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) != add(inverse(add(inverse(X_104),X_103)),X_103)
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_103,inverse(add(inverse(X_104),X_103))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_104),X_103)),X_103),add(X_103,inverse(add(inverse(X_104),X_103)))) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
( add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)) != add(inverse(add(inverse(X_104),X_103)),X_103)
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_103,inverse(add(inverse(X_104),X_103))) ),
inference(resolve,[$cnf( $equal(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),add(inverse(add(inverse(X_104),X_103)),X_103)) )],[refute_0_777,refute_0_780]) ).
cnf(refute_0_782,plain,
add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_103,inverse(add(inverse(X_104),X_103))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_104),X_103)),add(X_104,X_103)),add(inverse(add(inverse(X_104),X_103)),X_103)) )],[refute_0_699,refute_0_781]) ).
cnf(refute_0_783,plain,
add(X_104,add(X_103,X_104)) = add(X_104,X_103),
inference(subst,[],[refute_0_71:[bind(X_14,$fot(X_104)),bind(X_15,$fot(X_103))]]) ).
cnf(refute_0_784,plain,
add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) = add(inverse(add(inverse(X_15),X_14)),multiply(add(X_14,X_15),add(inverse(X_15),X_14))),
inference(subst,[],[refute_0_687:[bind(Y,$fot(add(inverse(X_15),X_14))),bind(X_40,$fot(add(X_14,X_15)))]]) ).
cnf(refute_0_785,plain,
( multiply(add(X_14,X_15),add(inverse(X_15),X_14)) != X_14
| add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) != add(inverse(add(inverse(X_15),X_14)),multiply(add(X_14,X_15),add(inverse(X_15),X_14)))
| add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) = add(inverse(add(inverse(X_15),X_14)),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)),add(inverse(add(inverse(X_15),X_14)),multiply(add(X_14,X_15),add(inverse(X_15),X_14)))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_786,plain,
( add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) != add(inverse(add(inverse(X_15),X_14)),multiply(add(X_14,X_15),add(inverse(X_15),X_14)))
| add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) = add(inverse(add(inverse(X_15),X_14)),X_14) ),
inference(resolve,[$cnf( $equal(multiply(add(X_14,X_15),add(inverse(X_15),X_14)),X_14) )],[refute_0_221,refute_0_785]) ).
cnf(refute_0_787,plain,
add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) = add(inverse(add(inverse(X_15),X_14)),X_14),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)),add(inverse(add(inverse(X_15),X_14)),multiply(add(X_14,X_15),add(inverse(X_15),X_14)))) )],[refute_0_784,refute_0_786]) ).
cnf(refute_0_788,plain,
add(X_14,add(inverse(add(inverse(X_15),X_14)),X_15)) = add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),
inference(subst,[],[refute_0_142:[bind(X_49,$fot(X_14)),bind(X_50,$fot(X_15)),bind(X_51,$fot(inverse(add(inverse(X_15),X_14))))]]) ).
cnf(refute_0_789,plain,
add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) = add(X_14,add(inverse(add(inverse(X_15),X_14)),X_15)),
inference(subst,[],[refute_0_204:[bind(X,$fot(inverse(add(inverse(X_15),X_14)))),bind(Y,$fot(X_14)),bind(X_56,$fot(X_15))]]) ).
cnf(refute_0_790,plain,
( add(X_14,add(inverse(add(inverse(X_15),X_14)),X_15)) != add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))
| add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) != add(X_14,add(inverse(add(inverse(X_15),X_14)),X_15))
| add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) = add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)))),bind(Y0,$fot(add(X_14,add(inverse(add(inverse(X_15),X_14)),X_15)))),bind(Z0,$fot(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))))]]) ).
cnf(refute_0_791,plain,
( add(X_14,add(inverse(add(inverse(X_15),X_14)),X_15)) != add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))
| add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) = add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)),add(X_14,add(inverse(add(inverse(X_15),X_14)),X_15))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) = add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),
inference(resolve,[$cnf( $equal(add(X_14,add(inverse(add(inverse(X_15),X_14)),X_15)),add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))) )],[refute_0_788,refute_0_791]) ).
cnf(refute_0_793,plain,
( add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) != add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))
| add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) != add(inverse(add(inverse(X_15),X_14)),X_14)
| add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(inverse(add(inverse(X_15),X_14)),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)),add(inverse(add(inverse(X_15),X_14)),X_14)) ),[0],$fot(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))))]]) ).
cnf(refute_0_794,plain,
( add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) != add(inverse(add(inverse(X_15),X_14)),X_14)
| add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(inverse(add(inverse(X_15),X_14)),X_14) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)),add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
add(inverse(add(inverse(X_15),X_14)),X_14) = add(X_14,inverse(add(inverse(X_15),X_14))),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_14)),bind(Y,$fot(inverse(add(inverse(X_15),X_14))))]]) ).
cnf(refute_0_796,plain,
( add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) != add(inverse(add(inverse(X_15),X_14)),X_14)
| add(inverse(add(inverse(X_15),X_14)),X_14) != add(X_14,inverse(add(inverse(X_15),X_14)))
| add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(X_14,inverse(add(inverse(X_15),X_14))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),add(X_14,inverse(add(inverse(X_15),X_14)))) ),[0],$fot(add(inverse(add(inverse(X_15),X_14)),X_14))]]) ).
cnf(refute_0_797,plain,
( add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) != add(inverse(add(inverse(X_15),X_14)),X_14)
| add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(X_14,inverse(add(inverse(X_15),X_14))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_15),X_14)),X_14),add(X_14,inverse(add(inverse(X_15),X_14)))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
( add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)) != add(inverse(add(inverse(X_15),X_14)),X_14)
| add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(X_14,inverse(add(inverse(X_15),X_14))) ),
inference(resolve,[$cnf( $equal(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),add(inverse(add(inverse(X_15),X_14)),X_14)) )],[refute_0_794,refute_0_797]) ).
cnf(refute_0_799,plain,
add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(X_14,inverse(add(inverse(X_15),X_14))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_15),X_14)),add(X_14,X_15)),add(inverse(add(inverse(X_15),X_14)),X_14)) )],[refute_0_787,refute_0_798]) ).
cnf(refute_0_800,plain,
add(X_105,inverse(add(X_106,inverse(X_105)))) = X_105,
inference(subst,[],[refute_0_596:[bind(X_14,$fot(X_105)),bind(X_97,$fot(X_106))]]) ).
cnf(refute_0_801,plain,
add(inverse(X_105),X_106) = add(X_106,inverse(X_105)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(inverse(X_105))),bind(Y,$fot(X_106))]]) ).
cnf(refute_0_802,plain,
( add(inverse(X_105),X_106) != add(X_106,inverse(X_105))
| add(X_106,inverse(X_105)) = add(inverse(X_105),X_106) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(inverse(X_105),X_106))),bind(Y0,$fot(add(X_106,inverse(X_105))))]]) ).
cnf(refute_0_803,plain,
add(X_106,inverse(X_105)) = add(inverse(X_105),X_106),
inference(resolve,[$cnf( $equal(add(inverse(X_105),X_106),add(X_106,inverse(X_105))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
( add(X_105,inverse(add(X_106,inverse(X_105)))) != X_105
| add(X_106,inverse(X_105)) != add(inverse(X_105),X_106)
| add(X_105,inverse(add(inverse(X_105),X_106))) = X_105 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_105,inverse(add(X_106,inverse(X_105)))),X_105) ),[0,1,0],$fot(add(inverse(X_105),X_106))]]) ).
cnf(refute_0_805,plain,
( add(X_105,inverse(add(X_106,inverse(X_105)))) != X_105
| add(X_105,inverse(add(inverse(X_105),X_106))) = X_105 ),
inference(resolve,[$cnf( $equal(add(X_106,inverse(X_105)),add(inverse(X_105),X_106)) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
add(X_105,inverse(add(inverse(X_105),X_106))) = X_105,
inference(resolve,[$cnf( $equal(add(X_105,inverse(add(X_106,inverse(X_105)))),X_105) )],[refute_0_800,refute_0_805]) ).
cnf(refute_0_807,plain,
add(X_15,inverse(add(inverse(X_15),X_14))) = X_15,
inference(subst,[],[refute_0_806:[bind(X_105,$fot(X_15)),bind(X_106,$fot(X_14))]]) ).
cnf(refute_0_808,plain,
add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),
introduced(tautology,[refl,[$fot(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))))]]) ).
cnf(refute_0_809,plain,
( add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) != add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))
| add(X_15,inverse(add(inverse(X_15),X_14))) != X_15
| add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(X_14,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))) ),[1,1],$fot(X_15)]]) ).
cnf(refute_0_810,plain,
( add(X_15,inverse(add(inverse(X_15),X_14))) != X_15
| add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(X_14,X_15) ),
inference(resolve,[$cnf( $equal(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),add(X_14,add(X_15,inverse(add(inverse(X_15),X_14))))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) = add(X_14,X_15),
inference(resolve,[$cnf( $equal(add(X_15,inverse(add(inverse(X_15),X_14))),X_15) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
( add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) != add(X_14,X_15)
| add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) != add(X_14,inverse(add(inverse(X_15),X_14)))
| add(X_14,X_15) = add(X_14,inverse(add(inverse(X_15),X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),add(X_14,inverse(add(inverse(X_15),X_14)))) ),[0],$fot(add(X_14,X_15))]]) ).
cnf(refute_0_813,plain,
( add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))) != add(X_14,inverse(add(inverse(X_15),X_14)))
| add(X_14,X_15) = add(X_14,inverse(add(inverse(X_15),X_14))) ),
inference(resolve,[$cnf( $equal(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),add(X_14,X_15)) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
add(X_14,X_15) = add(X_14,inverse(add(inverse(X_15),X_14))),
inference(resolve,[$cnf( $equal(add(X_14,add(X_15,inverse(add(inverse(X_15),X_14)))),add(X_14,inverse(add(inverse(X_15),X_14)))) )],[refute_0_799,refute_0_813]) ).
cnf(refute_0_815,plain,
( add(X_14,X_15) != add(X_14,inverse(add(inverse(X_15),X_14)))
| add(X_14,inverse(add(inverse(X_15),X_14))) = add(X_14,X_15) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_14,X_15))),bind(Y0,$fot(add(X_14,inverse(add(inverse(X_15),X_14)))))]]) ).
cnf(refute_0_816,plain,
add(X_14,inverse(add(inverse(X_15),X_14))) = add(X_14,X_15),
inference(resolve,[$cnf( $equal(add(X_14,X_15),add(X_14,inverse(add(inverse(X_15),X_14)))) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
add(X_103,inverse(add(inverse(X_104),X_103))) = add(X_103,X_104),
inference(subst,[],[refute_0_816:[bind(X_14,$fot(X_103)),bind(X_15,$fot(X_104))]]) ).
cnf(refute_0_818,plain,
add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),
introduced(tautology,[refl,[$fot(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))))]]) ).
cnf(refute_0_819,plain,
( add(X_103,inverse(add(inverse(X_104),X_103))) != add(X_103,X_104)
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) != add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_104,add(X_103,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))) ),[1,1],$fot(add(X_103,X_104))]]) ).
cnf(refute_0_820,plain,
( add(X_103,inverse(add(inverse(X_104),X_103))) != add(X_103,X_104)
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_104,add(X_103,X_104)) ),
inference(resolve,[$cnf( $equal(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),add(X_104,add(X_103,inverse(add(inverse(X_104),X_103))))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_104,add(X_103,X_104)),
inference(resolve,[$cnf( $equal(add(X_103,inverse(add(inverse(X_104),X_103))),add(X_103,X_104)) )],[refute_0_817,refute_0_820]) ).
cnf(refute_0_822,plain,
( add(X_104,add(X_103,X_104)) != add(X_104,X_103)
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) != add(X_104,add(X_103,X_104))
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_104,X_103) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))))),bind(Y0,$fot(add(X_104,add(X_103,X_104)))),bind(Z0,$fot(add(X_104,X_103)))]]) ).
cnf(refute_0_823,plain,
( add(X_104,add(X_103,X_104)) != add(X_104,X_103)
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_104,X_103) ),
inference(resolve,[$cnf( $equal(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),add(X_104,add(X_103,X_104))) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) = add(X_104,X_103),
inference(resolve,[$cnf( $equal(add(X_104,add(X_103,X_104)),add(X_104,X_103)) )],[refute_0_783,refute_0_823]) ).
cnf(refute_0_825,plain,
( add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) != add(X_103,inverse(add(inverse(X_104),X_103)))
| add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) != add(X_104,X_103)
| add(X_104,X_103) = add(X_103,inverse(add(inverse(X_104),X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),add(X_103,inverse(add(inverse(X_104),X_103)))) ),[0],$fot(add(X_104,X_103))]]) ).
cnf(refute_0_826,plain,
( add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) != add(X_103,inverse(add(inverse(X_104),X_103)))
| add(X_104,X_103) = add(X_103,inverse(add(inverse(X_104),X_103))) ),
inference(resolve,[$cnf( $equal(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),add(X_104,X_103)) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
( add(X_103,inverse(add(inverse(X_104),X_103))) != add(X_103,X_104)
| add(X_104,X_103) != add(X_103,inverse(add(inverse(X_104),X_103)))
| add(X_104,X_103) = add(X_103,X_104) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_104,X_103),add(X_103,inverse(add(inverse(X_104),X_103)))) ),[1],$fot(add(X_103,X_104))]]) ).
cnf(refute_0_828,plain,
( add(X_104,X_103) != add(X_103,inverse(add(inverse(X_104),X_103)))
| add(X_104,X_103) = add(X_103,X_104) ),
inference(resolve,[$cnf( $equal(add(X_103,inverse(add(inverse(X_104),X_103))),add(X_103,X_104)) )],[refute_0_817,refute_0_827]) ).
cnf(refute_0_829,plain,
( add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))) != add(X_103,inverse(add(inverse(X_104),X_103)))
| add(X_104,X_103) = add(X_103,X_104) ),
inference(resolve,[$cnf( $equal(add(X_104,X_103),add(X_103,inverse(add(inverse(X_104),X_103)))) )],[refute_0_826,refute_0_828]) ).
cnf(refute_0_830,plain,
add(X_104,X_103) = add(X_103,X_104),
inference(resolve,[$cnf( $equal(add(X_104,add(X_103,inverse(add(inverse(X_104),X_103)))),add(X_103,inverse(add(inverse(X_104),X_103)))) )],[refute_0_782,refute_0_829]) ).
cnf(refute_0_831,plain,
( add(X_104,X_103) != add(X_103,X_104)
| add(X_103,X_104) = add(X_104,X_103) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_104,X_103))),bind(Y0,$fot(add(X_103,X_104)))]]) ).
cnf(refute_0_832,plain,
add(X_103,X_104) = add(X_104,X_103),
inference(resolve,[$cnf( $equal(add(X_104,X_103),add(X_103,X_104)) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
add(add(X_15,X_140),inverse(X_140)) = add(inverse(X_140),add(X_15,X_140)),
inference(subst,[],[refute_0_832:[bind(X_103,$fot(add(X_15,X_140))),bind(X_104,$fot(inverse(X_140)))]]) ).
cnf(refute_0_834,plain,
( add(add(X_15,X_140),inverse(X_140)) != add(inverse(X_140),add(X_15,X_140))
| add(inverse(X_140),add(X_15,X_140)) != add(X_140,inverse(X_140))
| add(add(X_15,X_140),inverse(X_140)) = add(X_140,inverse(X_140)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(add(X_15,X_140),inverse(X_140)))),bind(Y0,$fot(add(inverse(X_140),add(X_15,X_140)))),bind(Z0,$fot(add(X_140,inverse(X_140))))]]) ).
cnf(refute_0_835,plain,
( add(inverse(X_140),add(X_15,X_140)) != add(X_140,inverse(X_140))
| add(add(X_15,X_140),inverse(X_140)) = add(X_140,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(add(add(X_15,X_140),inverse(X_140)),add(inverse(X_140),add(X_15,X_140))) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
add(add(X_15,X_140),inverse(X_140)) = add(X_140,inverse(X_140)),
inference(resolve,[$cnf( $equal(add(inverse(X_140),add(X_15,X_140)),add(X_140,inverse(X_140))) )],[refute_0_682,refute_0_835]) ).
cnf(refute_0_837,plain,
multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) = multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))),
introduced(tautology,[refl,[$fot(multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))]]) ).
cnf(refute_0_838,plain,
( multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) != multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))
| add(add(X_15,X_140),inverse(X_140)) != add(X_140,inverse(X_140))
| multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) = multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) ),[1,1],$fot(add(X_140,inverse(X_140)))]]) ).
cnf(refute_0_839,plain,
( add(add(X_15,X_140),inverse(X_140)) != add(X_140,inverse(X_140))
| multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) = multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) = multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140))),
inference(resolve,[$cnf( $equal(add(add(X_15,X_140),inverse(X_140)),add(X_140,inverse(X_140))) )],[refute_0_836,refute_0_839]) ).
cnf(refute_0_841,plain,
( multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140))) != inverse(add(X_140,X_15))
| multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) != multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140)))
| multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) = inverse(add(X_140,X_15)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))),bind(Y0,$fot(multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140))))),bind(Z0,$fot(inverse(add(X_140,X_15))))]]) ).
cnf(refute_0_842,plain,
( multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140))) != inverse(add(X_140,X_15))
| multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) = inverse(add(X_140,X_15)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))),multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140)))) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) = inverse(add(X_140,X_15)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_140,X_15)),add(X_140,inverse(X_140))),inverse(add(X_140,X_15))) )],[refute_0_619,refute_0_842]) ).
cnf(refute_0_844,plain,
add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),
introduced(tautology,[refl,[$fot(add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))]]) ).
cnf(refute_0_845,plain,
( multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) != inverse(add(X_140,X_15))
| add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))
| add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_140,inverse(add(X_140,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) ),[1,1],$fot(inverse(add(X_140,X_15)))]]) ).
cnf(refute_0_846,plain,
( multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))) != inverse(add(X_140,X_15))
| add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_140,inverse(add(X_140,X_15))) ),
inference(resolve,[$cnf( $equal(add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_140,inverse(add(X_140,X_15))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))),inverse(add(X_140,X_15))) )],[refute_0_843,refute_0_846]) ).
cnf(refute_0_848,plain,
( add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(X_140,inverse(add(X_140,X_15)))
| add(X_140,inverse(add(X_140,X_15))) != add(X_140,inverse(X_15))
| add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_140,inverse(X_15)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))),bind(Y0,$fot(add(X_140,inverse(add(X_140,X_15))))),bind(Z0,$fot(add(X_140,inverse(X_15))))]]) ).
cnf(refute_0_849,plain,
( add(X_140,inverse(add(X_140,X_15))) != add(X_140,inverse(X_15))
| add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_140,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),add(X_140,inverse(add(X_140,X_15)))) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_140,inverse(X_15)),
inference(resolve,[$cnf( $equal(add(X_140,inverse(add(X_140,X_15))),add(X_140,inverse(X_15))) )],[refute_0_611,refute_0_849]) ).
cnf(refute_0_851,plain,
add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) = add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))),
introduced(tautology,[refl,[$fot(add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))))]]) ).
cnf(refute_0_852,plain,
( add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(X_140,inverse(X_15))
| add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) != add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))
| add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) = add(X_15,add(X_140,inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))),add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))) ),[1,1],$fot(add(X_140,inverse(X_15)))]]) ).
cnf(refute_0_853,plain,
( add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(X_140,inverse(X_15))
| add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) = add(X_15,add(X_140,inverse(X_15))) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))),add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) = add(X_15,add(X_140,inverse(X_15))),
inference(resolve,[$cnf( $equal(add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),add(X_140,inverse(X_15))) )],[refute_0_850,refute_0_853]) ).
cnf(refute_0_855,plain,
( add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) != add(X_15,add(X_140,inverse(X_15)))
| add(X_15,add(X_140,inverse(X_15))) != add(X_15,inverse(X_15))
| add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) = add(X_15,inverse(X_15)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))))),bind(Y0,$fot(add(X_15,add(X_140,inverse(X_15))))),bind(Z0,$fot(add(X_15,inverse(X_15))))]]) ).
cnf(refute_0_856,plain,
( add(X_15,add(X_140,inverse(X_15))) != add(X_15,inverse(X_15))
| add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) = add(X_15,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))),add(X_15,add(X_140,inverse(X_15)))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) = add(X_15,inverse(X_15)),
inference(resolve,[$cnf( $equal(add(X_15,add(X_140,inverse(X_15))),add(X_15,inverse(X_15))) )],[refute_0_113,refute_0_856]) ).
cnf(refute_0_858,plain,
add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_15)),bind(Y,$fot(X_140)),bind(Z,$fot(multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))]]) ).
cnf(refute_0_859,plain,
( add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) != add(X_15,inverse(X_15))
| add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))
| add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_15,inverse(X_15)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))),bind(Y0,$fot(add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))))),bind(Z0,$fot(add(X_15,inverse(X_15))))]]) ).
cnf(refute_0_860,plain,
( add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))) != add(X_15,inverse(X_15))
| add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_15,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) = add(X_15,inverse(X_15)),
inference(resolve,[$cnf( $equal(add(X_15,add(X_140,multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140))))),add(X_15,inverse(X_15))) )],[refute_0_857,refute_0_860]) ).
cnf(refute_0_862,plain,
( add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(X_15,inverse(X_15))
| add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(add(X_15,X_140),inverse(X_140))
| add(X_15,inverse(X_15)) = add(add(X_15,X_140),inverse(X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),add(add(X_15,X_140),inverse(X_140))) ),[0],$fot(add(X_15,inverse(X_15)))]]) ).
cnf(refute_0_863,plain,
( add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(add(X_15,X_140),inverse(X_140))
| add(X_15,inverse(X_15)) = add(add(X_15,X_140),inverse(X_140)) ),
inference(resolve,[$cnf( $equal(add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),add(X_15,inverse(X_15))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
( add(X_15,inverse(X_15)) != add(add(X_15,X_140),inverse(X_140))
| add(add(X_15,X_140),inverse(X_140)) != add(X_140,inverse(X_140))
| add(X_15,inverse(X_15)) = add(X_140,inverse(X_140)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_15,inverse(X_15)),add(X_140,inverse(X_140))) ),[0],$fot(add(add(X_15,X_140),inverse(X_140)))]]) ).
cnf(refute_0_865,plain,
( add(X_15,inverse(X_15)) != add(add(X_15,X_140),inverse(X_140))
| add(X_15,inverse(X_15)) = add(X_140,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(add(add(X_15,X_140),inverse(X_140)),add(X_140,inverse(X_140))) )],[refute_0_836,refute_0_864]) ).
cnf(refute_0_866,plain,
( add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))) != add(add(X_15,X_140),inverse(X_140))
| add(X_15,inverse(X_15)) = add(X_140,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(add(X_15,inverse(X_15)),add(add(X_15,X_140),inverse(X_140))) )],[refute_0_863,refute_0_865]) ).
cnf(refute_0_867,plain,
add(X_15,inverse(X_15)) = add(X_140,inverse(X_140)),
inference(resolve,[$cnf( $equal(add(add(X_15,X_140),multiply(inverse(add(X_140,X_15)),add(add(X_15,X_140),inverse(X_140)))),add(add(X_15,X_140),inverse(X_140))) )],[refute_0_75,refute_0_866]) ).
cnf(refute_0_868,plain,
add(a,inverse(a)) = add(X_141,inverse(X_141)),
inference(subst,[],[refute_0_867:[bind(X_140,$fot(X_141)),bind(X_15,$fot(a))]]) ).
cnf(refute_0_869,plain,
( add(a,inverse(a)) != add(X_141,inverse(X_141))
| add(b,inverse(b)) != add(X_141,inverse(X_141))
| add(b,inverse(b)) = add(a,inverse(a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(b,inverse(b)),add(a,inverse(a))) ),[1],$fot(add(X_141,inverse(X_141)))]]) ).
cnf(refute_0_870,plain,
( add(b,inverse(b)) != add(X_141,inverse(X_141))
| add(b,inverse(b)) = add(a,inverse(a)) ),
inference(resolve,[$cnf( $equal(add(a,inverse(a)),add(X_141,inverse(X_141))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
add(b,inverse(b)) != add(X_141,inverse(X_141)),
inference(resolve,[$cnf( $equal(add(b,inverse(b)),add(a,inverse(a))) )],[refute_0_870,prove_equal_inverse]) ).
cnf(refute_0_872,plain,
( add(X_15,inverse(X_15)) != add(X_140,inverse(X_140))
| add(X_140,inverse(X_140)) = add(X_15,inverse(X_15)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(add(X_15,inverse(X_15)))),bind(Y0,$fot(add(X_140,inverse(X_140))))]]) ).
cnf(refute_0_873,plain,
add(X_140,inverse(X_140)) = add(X_15,inverse(X_15)),
inference(resolve,[$cnf( $equal(add(X_15,inverse(X_15)),add(X_140,inverse(X_140))) )],[refute_0_867,refute_0_872]) ).
cnf(refute_0_874,plain,
add(b,inverse(b)) = add(X_141,inverse(X_141)),
inference(subst,[],[refute_0_873:[bind(X_140,$fot(b)),bind(X_15,$fot(X_141))]]) ).
cnf(refute_0_875,plain,
$false,
inference(resolve,[$cnf( $equal(add(b,inverse(b)),add(X_141,inverse(X_141))) )],[refute_0_874,refute_0_871]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 600
% 0.20/0.35 % DateTime : Thu Jun 2 00:13:53 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.17/2.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.17/2.41
% 2.17/2.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.34/2.50
%------------------------------------------------------------------------------