TSTP Solution File: BOO028-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 23:45:56 EDT 2022
% Result : Unsatisfiable 36.05s 36.28s
% Output : CNFRefutation 36.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 64
% Syntax : Number of clauses : 247 ( 137 unt; 0 nHn; 120 RR)
% Number of literals : 407 ( 406 equ; 163 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 567 ( 35 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_multiply_add_property,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_4,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[commutativity_of_multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(c,a) = multiply(a,c),
inference(subst,[],[refute_0_4:[bind(X,$fot(a)),bind(Y,$fot(c))]]) ).
cnf(refute_0_6,plain,
add(multiply(a,b),multiply(c,a)) = add(multiply(a,b),multiply(c,a)),
introduced(tautology,[refl,[$fot(add(multiply(a,b),multiply(c,a)))]]) ).
cnf(refute_0_7,plain,
( multiply(c,a) != multiply(a,c)
| add(multiply(a,b),multiply(c,a)) != add(multiply(a,b),multiply(c,a))
| add(multiply(a,b),multiply(c,a)) = add(multiply(a,b),multiply(a,c)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(a,b),multiply(c,a)),add(multiply(a,b),multiply(c,a))) ),[1,1],$fot(multiply(a,c))]]) ).
cnf(refute_0_8,plain,
( multiply(c,a) != multiply(a,c)
| add(multiply(a,b),multiply(c,a)) = add(multiply(a,b),multiply(a,c)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,b),multiply(c,a)),add(multiply(a,b),multiply(c,a))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
add(multiply(a,b),multiply(c,a)) = add(multiply(a,b),multiply(a,c)),
inference(resolve,[$cnf( $equal(multiply(c,a),multiply(a,c)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_4:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
cnf(refute_0_11,plain,
add(multiply(b,a),multiply(c,a)) = add(multiply(b,a),multiply(c,a)),
introduced(tautology,[refl,[$fot(add(multiply(b,a),multiply(c,a)))]]) ).
cnf(refute_0_12,plain,
( multiply(b,a) != multiply(a,b)
| add(multiply(b,a),multiply(c,a)) != add(multiply(b,a),multiply(c,a))
| add(multiply(b,a),multiply(c,a)) = add(multiply(a,b),multiply(c,a)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(b,a),multiply(c,a)),add(multiply(b,a),multiply(c,a))) ),[1,0],$fot(multiply(a,b))]]) ).
cnf(refute_0_13,plain,
( multiply(b,a) != multiply(a,b)
| add(multiply(b,a),multiply(c,a)) = add(multiply(a,b),multiply(c,a)) ),
inference(resolve,[$cnf( $equal(add(multiply(b,a),multiply(c,a)),add(multiply(b,a),multiply(c,a))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
add(multiply(b,a),multiply(c,a)) = add(multiply(a,b),multiply(c,a)),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_16,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_15]) ).
cnf(refute_0_17,plain,
( add(multiply(a,b),multiply(c,a)) != add(multiply(a,b),multiply(a,c))
| add(multiply(b,a),multiply(c,a)) != add(multiply(a,b),multiply(c,a))
| add(multiply(b,a),multiply(c,a)) = add(multiply(a,b),multiply(a,c)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(add(multiply(b,a),multiply(c,a)))),bind(Y0,$fot(add(multiply(a,b),multiply(c,a)))),bind(Z0,$fot(add(multiply(a,b),multiply(a,c))))]]) ).
cnf(refute_0_18,plain,
( add(multiply(a,b),multiply(c,a)) != add(multiply(a,b),multiply(a,c))
| add(multiply(b,a),multiply(c,a)) = add(multiply(a,b),multiply(a,c)) ),
inference(resolve,[$cnf( $equal(add(multiply(b,a),multiply(c,a)),add(multiply(a,b),multiply(c,a))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
add(multiply(b,a),multiply(c,a)) = add(multiply(a,b),multiply(a,c)),
inference(resolve,[$cnf( $equal(add(multiply(a,b),multiply(c,a)),add(multiply(a,b),multiply(a,c))) )],[refute_0_9,refute_0_18]) ).
cnf(refute_0_20,plain,
( multiply(a,add(b,c)) != add(multiply(a,b),multiply(a,c))
| add(multiply(b,a),multiply(c,a)) != add(multiply(a,b),multiply(a,c))
| multiply(a,add(b,c)) = add(multiply(b,a),multiply(c,a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,c)),add(multiply(b,a),multiply(c,a))) ),[1],$fot(add(multiply(a,b),multiply(a,c)))]]) ).
cnf(refute_0_21,plain,
( multiply(a,add(b,c)) != add(multiply(a,b),multiply(a,c))
| multiply(a,add(b,c)) = add(multiply(b,a),multiply(c,a)) ),
inference(resolve,[$cnf( $equal(add(multiply(b,a),multiply(c,a)),add(multiply(a,b),multiply(a,c))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(a,add(b,c)) != add(multiply(a,b),multiply(a,c)),
inference(resolve,[$cnf( $equal(multiply(a,add(b,c)),add(multiply(b,a),multiply(c,a))) )],[refute_0_21,prove_multiply_add_property]) ).
cnf(refute_0_23,plain,
multiply(add(X_14,X_15),add(X_14,inverse(X_15))) = X_14,
inference(subst,[],[b1:[bind(X,$fot(X_14)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_24,plain,
add(X_15,X_14) = add(X_14,X_15),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_15)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_25,plain,
( add(X_15,X_14) != add(X_14,X_15)
| add(X_14,X_15) = add(X_15,X_14) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_15,X_14))),bind(Y0,$fot(add(X_14,X_15)))]]) ).
cnf(refute_0_26,plain,
add(X_14,X_15) = add(X_15,X_14),
inference(resolve,[$cnf( $equal(add(X_15,X_14),add(X_14,X_15)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( multiply(add(X_14,X_15),add(X_14,inverse(X_15))) != X_14
| add(X_14,X_15) != add(X_15,X_14)
| multiply(add(X_15,X_14),add(X_14,inverse(X_15))) = X_14 ),
introduced(tautology,[equality,[$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_28,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( $equal(add(X_14,X_15),add(X_15,X_14)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(add(X_15,X_14),add(X_14,inverse(X_15))) = X_14,
inference(resolve,[$cnf( $equal(multiply(add(X_14,X_15),add(X_14,inverse(X_15))),X_14) )],[refute_0_23,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(add(X_15,add(multiply(X_15,X_57),X_59)),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) = add(multiply(X_15,X_57),X_59),
inference(subst,[],[refute_0_29:[bind(X_14,$fot(add(multiply(X_15,X_57),X_59)))]]) ).
cnf(refute_0_31,plain,
add(add(X_42,multiply(X_42,X_13)),X_44) = add(X_42,add(multiply(X_42,X_13),X_44)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_42)),bind(Y,$fot(multiply(X_42,X_13))),bind(Z,$fot(X_44))]]) ).
cnf(refute_0_32,plain,
( add(X,Y) != add(Y,X)
| add(Y,X) = add(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$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,
( 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_16:[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,$fot(add(multiply(X,Y),add(Y,multiply(Y,Z)))))]]) ).
cnf(refute_0_41,plain,
( add(multiply(X,Y),add(multiply(Y,Z),Y)) != add(multiply(X,Y),add(Y,multiply(Y,Z)))
| add(add(multiply(X,Y),multiply(Y,Z)),Y) = add(multiply(X,Y),add(Y,multiply(Y,Z))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X,Y),multiply(Y,Z)),Y),add(multiply(X,Y),add(multiply(Y,Z),Y))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
add(add(multiply(X,Y),multiply(Y,Z)),Y) = add(multiply(X,Y),add(Y,multiply(Y,Z))),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),add(multiply(Y,Z),Y)),add(multiply(X,Y),add(Y,multiply(Y,Z)))) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
( add(add(multiply(X,Y),multiply(Y,Z)),Y) != Y
| add(add(multiply(X,Y),multiply(Y,Z)),Y) != add(multiply(X,Y),add(Y,multiply(Y,Z)))
| add(multiply(X,Y),add(Y,multiply(Y,Z))) = Y ),
introduced(tautology,[equality,[$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_44,plain,
( add(add(multiply(X,Y),multiply(Y,Z)),Y) != Y
| add(multiply(X,Y),add(Y,multiply(Y,Z))) = Y ),
inference(resolve,[$cnf( $equal(add(add(multiply(X,Y),multiply(Y,Z)),Y),add(multiply(X,Y),add(Y,multiply(Y,Z)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
add(multiply(X,Y),add(Y,multiply(Y,Z))) = Y,
inference(resolve,[$cnf( $equal(add(add(multiply(X,Y),multiply(Y,Z)),Y),Y) )],[l3,refute_0_44]) ).
cnf(refute_0_46,plain,
add(multiply(X_9,X_10),add(X_10,multiply(X_10,multiply(X_10,Z)))) = X_10,
inference(subst,[],[refute_0_45:[bind(X,$fot(X_9)),bind(Y,$fot(X_10)),bind(Z,$fot(multiply(X_10,Z)))]]) ).
cnf(refute_0_47,plain,
add(X_10,multiply(X_10,multiply(X_10,Z))) = X_10,
inference(subst,[],[l1:[bind(X,$fot(X_10)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_48,plain,
( add(X_10,multiply(X_10,multiply(X_10,Z))) != X_10
| add(multiply(X_9,X_10),add(X_10,multiply(X_10,multiply(X_10,Z)))) != X_10
| add(multiply(X_9,X_10),X_10) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_9,X_10),add(X_10,multiply(X_10,multiply(X_10,Z)))),X_10) ),[0,1],$fot(X_10)]]) ).
cnf(refute_0_49,plain,
( add(multiply(X_9,X_10),add(X_10,multiply(X_10,multiply(X_10,Z)))) != X_10
| add(multiply(X_9,X_10),X_10) = X_10 ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_10,multiply(X_10,Z))),X_10) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
add(multiply(X_9,X_10),X_10) = X_10,
inference(resolve,[$cnf( $equal(add(multiply(X_9,X_10),add(X_10,multiply(X_10,multiply(X_10,Z)))),X_10) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
add(multiply(X_9,X_10),X_10) = add(X_10,multiply(X_9,X_10)),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_10)),bind(Y,$fot(multiply(X_9,X_10)))]]) ).
cnf(refute_0_52,plain,
( add(multiply(X_9,X_10),X_10) != X_10
| add(multiply(X_9,X_10),X_10) != add(X_10,multiply(X_9,X_10))
| add(X_10,multiply(X_9,X_10)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_9,X_10),X_10),X_10) ),[0],$fot(add(X_10,multiply(X_9,X_10)))]]) ).
cnf(refute_0_53,plain,
( add(multiply(X_9,X_10),X_10) != X_10
| add(X_10,multiply(X_9,X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(add(multiply(X_9,X_10),X_10),add(X_10,multiply(X_9,X_10))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
add(X_10,multiply(X_9,X_10)) = X_10,
inference(resolve,[$cnf( $equal(add(multiply(X_9,X_10),X_10),X_10) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
add(X_12,multiply(X_13,X_12)) = X_12,
inference(subst,[],[refute_0_54:[bind(X_10,$fot(X_12)),bind(X_9,$fot(X_13))]]) ).
cnf(refute_0_56,plain,
multiply(X_12,X_13) = multiply(X_13,X_12),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_12)),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_57,plain,
( multiply(X_12,X_13) != multiply(X_13,X_12)
| multiply(X_13,X_12) = multiply(X_12,X_13) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_12,X_13))),bind(Y0,$fot(multiply(X_13,X_12)))]]) ).
cnf(refute_0_58,plain,
multiply(X_13,X_12) = multiply(X_12,X_13),
inference(resolve,[$cnf( $equal(multiply(X_12,X_13),multiply(X_13,X_12)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( multiply(X_13,X_12) != multiply(X_12,X_13)
| add(X_12,multiply(X_13,X_12)) != X_12
| add(X_12,multiply(X_12,X_13)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_12,multiply(X_13,X_12)),X_12) ),[0,1],$fot(multiply(X_12,X_13))]]) ).
cnf(refute_0_60,plain,
( add(X_12,multiply(X_13,X_12)) != X_12
| add(X_12,multiply(X_12,X_13)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_13,X_12),multiply(X_12,X_13)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
add(X_12,multiply(X_12,X_13)) = X_12,
inference(resolve,[$cnf( $equal(add(X_12,multiply(X_13,X_12)),X_12) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
add(X_42,multiply(X_42,X_13)) = X_42,
inference(subst,[],[refute_0_61:[bind(X_12,$fot(X_42))]]) ).
cnf(refute_0_63,plain,
( add(X_42,multiply(X_42,X_13)) != X_42
| add(add(X_42,multiply(X_42,X_13)),X_44) != add(X_42,add(multiply(X_42,X_13),X_44))
| add(X_42,X_44) = add(X_42,add(multiply(X_42,X_13),X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_42,multiply(X_42,X_13)),X_44),add(X_42,add(multiply(X_42,X_13),X_44))) ),[0,0],$fot(X_42)]]) ).
cnf(refute_0_64,plain,
( add(add(X_42,multiply(X_42,X_13)),X_44) != add(X_42,add(multiply(X_42,X_13),X_44))
| add(X_42,X_44) = add(X_42,add(multiply(X_42,X_13),X_44)) ),
inference(resolve,[$cnf( $equal(add(X_42,multiply(X_42,X_13)),X_42) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
add(X_42,X_44) = add(X_42,add(multiply(X_42,X_13),X_44)),
inference(resolve,[$cnf( $equal(add(add(X_42,multiply(X_42,X_13)),X_44),add(X_42,add(multiply(X_42,X_13),X_44))) )],[refute_0_31,refute_0_64]) ).
cnf(refute_0_66,plain,
add(X_15,X_59) = add(X_15,add(multiply(X_15,X_57),X_59)),
inference(subst,[],[refute_0_65:[bind(X_13,$fot(X_57)),bind(X_42,$fot(X_15)),bind(X_44,$fot(X_59))]]) ).
cnf(refute_0_67,plain,
( add(X_15,X_59) != add(X_15,add(multiply(X_15,X_57),X_59))
| add(X_15,add(multiply(X_15,X_57),X_59)) = add(X_15,X_59) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_15,X_59))),bind(Y0,$fot(add(X_15,add(multiply(X_15,X_57),X_59))))]]) ).
cnf(refute_0_68,plain,
add(X_15,add(multiply(X_15,X_57),X_59)) = add(X_15,X_59),
inference(resolve,[$cnf( $equal(add(X_15,X_59),add(X_15,add(multiply(X_15,X_57),X_59))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(add(X_15,add(multiply(X_15,X_57),X_59)),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) != add(multiply(X_15,X_57),X_59)
| add(X_15,add(multiply(X_15,X_57),X_59)) != add(X_15,X_59)
| multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) = add(multiply(X_15,X_57),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_15,add(multiply(X_15,X_57),X_59)),add(add(multiply(X_15,X_57),X_59),inverse(X_15))),add(multiply(X_15,X_57),X_59)) ),[0,0],$fot(add(X_15,X_59))]]) ).
cnf(refute_0_70,plain,
( multiply(add(X_15,add(multiply(X_15,X_57),X_59)),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) != add(multiply(X_15,X_57),X_59)
| multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) = add(multiply(X_15,X_57),X_59) ),
inference(resolve,[$cnf( $equal(add(X_15,add(multiply(X_15,X_57),X_59)),add(X_15,X_59)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) = add(multiply(X_15,X_57),X_59),
inference(resolve,[$cnf( $equal(multiply(add(X_15,add(multiply(X_15,X_57),X_59)),add(add(multiply(X_15,X_57),X_59),inverse(X_15))),add(multiply(X_15,X_57),X_59)) )],[refute_0_30,refute_0_70]) ).
cnf(refute_0_72,plain,
add(add(inverse(X_51),multiply(X_51,add(X_50,inverse(X_51)))),Z) = add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(inverse(X_51))),bind(Y,$fot(multiply(X_51,add(X_50,inverse(X_51)))))]]) ).
cnf(refute_0_73,plain,
multiply(X,inverse(Y)) = multiply(inverse(Y),X),
inference(subst,[],[commutativity_of_multiply:[bind(Y,$fot(inverse(Y)))]]) ).
cnf(refute_0_74,plain,
( multiply(X,inverse(Y)) != multiply(inverse(Y),X)
| add(multiply(X,Y),multiply(X,inverse(Y))) != X
| add(multiply(X,Y),multiply(inverse(Y),X)) = X ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(X,inverse(Y))),X) ),[0,1],$fot(multiply(inverse(Y),X))]]) ).
cnf(refute_0_75,plain,
( add(multiply(X,Y),multiply(X,inverse(Y))) != X
| add(multiply(X,Y),multiply(inverse(Y),X)) = X ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(Y)),multiply(inverse(Y),X)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
add(multiply(X,Y),multiply(inverse(Y),X)) = X,
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,inverse(Y))),X) )],[b2,refute_0_75]) ).
cnf(refute_0_77,plain,
add(multiply(add(X_17,inverse(X_34)),X_34),multiply(inverse(X_34),add(X_17,inverse(X_34)))) = add(X_17,inverse(X_34)),
inference(subst,[],[refute_0_76:[bind(X,$fot(add(X_17,inverse(X_34)))),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_78,plain,
multiply(X_16,add(X_17,add(X_16,multiply(Y,multiply(X_16,Z))))) = X_16,
inference(subst,[],[l2:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(multiply(Y,multiply(X_16,Z))))]]) ).
cnf(refute_0_79,plain,
add(X_16,multiply(Y,multiply(X_16,Z))) = X_16,
inference(subst,[],[l1:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_80,plain,
( multiply(X_16,add(X_17,add(X_16,multiply(Y,multiply(X_16,Z))))) != X_16
| add(X_16,multiply(Y,multiply(X_16,Z))) != X_16
| multiply(X_16,add(X_17,X_16)) = X_16 ),
introduced(tautology,[equality,[$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_81,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( $equal(add(X_16,multiply(Y,multiply(X_16,Z))),X_16) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(X_16,add(X_17,X_16)) = X_16,
inference(resolve,[$cnf( $equal(multiply(X_16,add(X_17,add(X_16,multiply(Y,multiply(X_16,Z))))),X_16) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(inverse(X_34),add(X_17,inverse(X_34))) = inverse(X_34),
inference(subst,[],[refute_0_82:[bind(X_16,$fot(inverse(X_34)))]]) ).
cnf(refute_0_84,plain,
( multiply(inverse(X_34),add(X_17,inverse(X_34))) != inverse(X_34)
| add(multiply(add(X_17,inverse(X_34)),X_34),multiply(inverse(X_34),add(X_17,inverse(X_34)))) != add(X_17,inverse(X_34))
| add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) = add(X_17,inverse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_17,inverse(X_34)),X_34),multiply(inverse(X_34),add(X_17,inverse(X_34)))),add(X_17,inverse(X_34))) ),[0,1],$fot(inverse(X_34))]]) ).
cnf(refute_0_85,plain,
( add(multiply(add(X_17,inverse(X_34)),X_34),multiply(inverse(X_34),add(X_17,inverse(X_34)))) != add(X_17,inverse(X_34))
| add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) = add(X_17,inverse(X_34)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_34),add(X_17,inverse(X_34))),inverse(X_34)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) = add(X_17,inverse(X_34)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_17,inverse(X_34)),X_34),multiply(inverse(X_34),add(X_17,inverse(X_34)))),add(X_17,inverse(X_34))) )],[refute_0_77,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(add(X_17,inverse(X_34)),X_34) = multiply(X_34,add(X_17,inverse(X_34))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_34)),bind(Y,$fot(add(X_17,inverse(X_34))))]]) ).
cnf(refute_0_88,plain,
add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)) = add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)),
introduced(tautology,[refl,[$fot(add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)))]]) ).
cnf(refute_0_89,plain,
( multiply(add(X_17,inverse(X_34)),X_34) != multiply(X_34,add(X_17,inverse(X_34)))
| add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)) != add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34))
| add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)) = add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)),add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34))) ),[1,1],$fot(multiply(X_34,add(X_17,inverse(X_34))))]]) ).
cnf(refute_0_90,plain,
( multiply(add(X_17,inverse(X_34)),X_34) != multiply(X_34,add(X_17,inverse(X_34)))
| add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)) = add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)),add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)) = add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))),
inference(resolve,[$cnf( $equal(multiply(add(X_17,inverse(X_34)),X_34),multiply(X_34,add(X_17,inverse(X_34)))) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) = add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)),
inference(subst,[],[refute_0_33:[bind(X,$fot(inverse(X_34))),bind(Y,$fot(multiply(add(X_17,inverse(X_34)),X_34)))]]) ).
cnf(refute_0_93,plain,
( add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) != add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34))
| add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)) != add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))
| add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) = add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)))),bind(Y0,$fot(add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)))),bind(Z0,$fot(add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))))]]) ).
cnf(refute_0_94,plain,
( add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)) != add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))
| add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) = add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)),add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) = add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))),
inference(resolve,[$cnf( $equal(add(inverse(X_34),multiply(add(X_17,inverse(X_34)),X_34)),add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) != add(X_17,inverse(X_34))
| add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) != add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))
| add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) = add(X_17,inverse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)),add(X_17,inverse(X_34))) ),[0],$fot(add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))))]]) ).
cnf(refute_0_97,plain,
( add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)) != add(X_17,inverse(X_34))
| add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) = add(X_17,inverse(X_34)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)),add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) = add(X_17,inverse(X_34)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_17,inverse(X_34)),X_34),inverse(X_34)),add(X_17,inverse(X_34))) )],[refute_0_86,refute_0_97]) ).
cnf(refute_0_99,plain,
add(inverse(X_51),multiply(X_51,add(X_50,inverse(X_51)))) = add(X_50,inverse(X_51)),
inference(subst,[],[refute_0_98:[bind(X_17,$fot(X_50)),bind(X_34,$fot(X_51))]]) ).
cnf(refute_0_100,plain,
( add(add(inverse(X_51),multiply(X_51,add(X_50,inverse(X_51)))),Z) != add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))
| add(inverse(X_51),multiply(X_51,add(X_50,inverse(X_51)))) != add(X_50,inverse(X_51))
| add(add(X_50,inverse(X_51)),Z) = add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(X_51),multiply(X_51,add(X_50,inverse(X_51)))),Z),add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))) ),[0,0],$fot(add(X_50,inverse(X_51)))]]) ).
cnf(refute_0_101,plain,
( add(add(inverse(X_51),multiply(X_51,add(X_50,inverse(X_51)))),Z) != add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))
| add(add(X_50,inverse(X_51)),Z) = add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_51),multiply(X_51,add(X_50,inverse(X_51)))),add(X_50,inverse(X_51))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
add(add(X_50,inverse(X_51)),Z) = add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)),
inference(resolve,[$cnf( $equal(add(add(inverse(X_51),multiply(X_51,add(X_50,inverse(X_51)))),Z),add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))) )],[refute_0_72,refute_0_101]) ).
cnf(refute_0_103,plain,
add(add(X_50,inverse(X_51)),Z) = add(X_50,add(inverse(X_51),Z)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_50)),bind(Y,$fot(inverse(X_51)))]]) ).
cnf(refute_0_104,plain,
( add(add(X_50,inverse(X_51)),Z) != add(X_50,add(inverse(X_51),Z))
| add(add(X_50,inverse(X_51)),Z) != add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))
| add(X_50,add(inverse(X_51),Z)) = add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_50,inverse(X_51)),Z),add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))) ),[0],$fot(add(X_50,add(inverse(X_51),Z)))]]) ).
cnf(refute_0_105,plain,
( add(add(X_50,inverse(X_51)),Z) != add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))
| add(X_50,add(inverse(X_51),Z)) = add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) ),
inference(resolve,[$cnf( $equal(add(add(X_50,inverse(X_51)),Z),add(X_50,add(inverse(X_51),Z))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
add(X_50,add(inverse(X_51),Z)) = add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)),
inference(resolve,[$cnf( $equal(add(add(X_50,inverse(X_51)),Z),add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(multiply(X_45,add(X_45,X_20)),X_47) = multiply(X_45,multiply(add(X_45,X_20),X_47)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_45)),bind(Y,$fot(add(X_45,X_20))),bind(Z,$fot(X_47))]]) ).
cnf(refute_0_108,plain,
multiply(X_19,add(X_20,X_19)) = X_19,
inference(subst,[],[refute_0_82:[bind(X_16,$fot(X_19)),bind(X_17,$fot(X_20))]]) ).
cnf(refute_0_109,plain,
add(X_19,X_20) = add(X_20,X_19),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_19)),bind(Y,$fot(X_20))]]) ).
cnf(refute_0_110,plain,
( add(X_19,X_20) != add(X_20,X_19)
| add(X_20,X_19) = add(X_19,X_20) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_19,X_20))),bind(Y0,$fot(add(X_20,X_19)))]]) ).
cnf(refute_0_111,plain,
add(X_20,X_19) = add(X_19,X_20),
inference(resolve,[$cnf( $equal(add(X_19,X_20),add(X_20,X_19)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
( multiply(X_19,add(X_20,X_19)) != X_19
| add(X_20,X_19) != add(X_19,X_20)
| multiply(X_19,add(X_19,X_20)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,add(X_20,X_19)),X_19) ),[0,1],$fot(add(X_19,X_20))]]) ).
cnf(refute_0_113,plain,
( multiply(X_19,add(X_20,X_19)) != X_19
| multiply(X_19,add(X_19,X_20)) = X_19 ),
inference(resolve,[$cnf( $equal(add(X_20,X_19),add(X_19,X_20)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(X_19,add(X_19,X_20)) = X_19,
inference(resolve,[$cnf( $equal(multiply(X_19,add(X_20,X_19)),X_19) )],[refute_0_108,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(X_45,add(X_45,X_20)) = X_45,
inference(subst,[],[refute_0_114:[bind(X_19,$fot(X_45))]]) ).
cnf(refute_0_116,plain,
( multiply(X_45,add(X_45,X_20)) != X_45
| multiply(multiply(X_45,add(X_45,X_20)),X_47) != multiply(X_45,multiply(add(X_45,X_20),X_47))
| multiply(X_45,X_47) = multiply(X_45,multiply(add(X_45,X_20),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_45,add(X_45,X_20)),X_47),multiply(X_45,multiply(add(X_45,X_20),X_47))) ),[0,0],$fot(X_45)]]) ).
cnf(refute_0_117,plain,
( multiply(multiply(X_45,add(X_45,X_20)),X_47) != multiply(X_45,multiply(add(X_45,X_20),X_47))
| multiply(X_45,X_47) = multiply(X_45,multiply(add(X_45,X_20),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(X_45,add(X_45,X_20)),X_45) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(X_45,X_47) = multiply(X_45,multiply(add(X_45,X_20),X_47)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,add(X_45,X_20)),X_47),multiply(X_45,multiply(add(X_45,X_20),X_47))) )],[refute_0_107,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(X_53,add(X_52,inverse(X_53))) = multiply(X_53,multiply(add(X_53,X_52),add(X_52,inverse(X_53)))),
inference(subst,[],[refute_0_118:[bind(X_20,$fot(X_52)),bind(X_45,$fot(X_53)),bind(X_47,$fot(add(X_52,inverse(X_53))))]]) ).
cnf(refute_0_120,plain,
multiply(add(X_53,X_52),add(X_52,inverse(X_53))) = X_52,
inference(subst,[],[refute_0_29:[bind(X_14,$fot(X_52)),bind(X_15,$fot(X_53))]]) ).
cnf(refute_0_121,plain,
( multiply(X_53,add(X_52,inverse(X_53))) != multiply(X_53,multiply(add(X_53,X_52),add(X_52,inverse(X_53))))
| multiply(add(X_53,X_52),add(X_52,inverse(X_53))) != X_52
| multiply(X_53,add(X_52,inverse(X_53))) = multiply(X_53,X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,add(X_52,inverse(X_53))),multiply(X_53,multiply(add(X_53,X_52),add(X_52,inverse(X_53))))) ),[1,1],$fot(X_52)]]) ).
cnf(refute_0_122,plain,
( multiply(X_53,add(X_52,inverse(X_53))) != multiply(X_53,multiply(add(X_53,X_52),add(X_52,inverse(X_53))))
| multiply(X_53,add(X_52,inverse(X_53))) = multiply(X_53,X_52) ),
inference(resolve,[$cnf( $equal(multiply(add(X_53,X_52),add(X_52,inverse(X_53))),X_52) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(X_53,add(X_52,inverse(X_53))) = multiply(X_53,X_52),
inference(resolve,[$cnf( $equal(multiply(X_53,add(X_52,inverse(X_53))),multiply(X_53,multiply(add(X_53,X_52),add(X_52,inverse(X_53))))) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(X_51,add(X_50,inverse(X_51))) = multiply(X_51,X_50),
inference(subst,[],[refute_0_123:[bind(X_52,$fot(X_50)),bind(X_53,$fot(X_51))]]) ).
cnf(refute_0_125,plain,
add(multiply(X_51,add(X_50,inverse(X_51))),Z) = add(multiply(X_51,add(X_50,inverse(X_51))),Z),
introduced(tautology,[refl,[$fot(add(multiply(X_51,add(X_50,inverse(X_51))),Z))]]) ).
cnf(refute_0_126,plain,
( multiply(X_51,add(X_50,inverse(X_51))) != multiply(X_51,X_50)
| add(multiply(X_51,add(X_50,inverse(X_51))),Z) != add(multiply(X_51,add(X_50,inverse(X_51))),Z)
| add(multiply(X_51,add(X_50,inverse(X_51))),Z) = add(multiply(X_51,X_50),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_51,add(X_50,inverse(X_51))),Z),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) ),[1,0],$fot(multiply(X_51,X_50))]]) ).
cnf(refute_0_127,plain,
( multiply(X_51,add(X_50,inverse(X_51))) != multiply(X_51,X_50)
| add(multiply(X_51,add(X_50,inverse(X_51))),Z) = add(multiply(X_51,X_50),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X_51,add(X_50,inverse(X_51))),Z),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
add(multiply(X_51,add(X_50,inverse(X_51))),Z) = add(multiply(X_51,X_50),Z),
inference(resolve,[$cnf( $equal(multiply(X_51,add(X_50,inverse(X_51))),multiply(X_51,X_50)) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) = add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)),
introduced(tautology,[refl,[$fot(add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)))]]) ).
cnf(refute_0_130,plain,
( add(multiply(X_51,add(X_50,inverse(X_51))),Z) != add(multiply(X_51,X_50),Z)
| add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) != add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))
| add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) = add(inverse(X_51),add(multiply(X_51,X_50),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)),add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))) ),[1,1],$fot(add(multiply(X_51,X_50),Z))]]) ).
cnf(refute_0_131,plain,
( add(multiply(X_51,add(X_50,inverse(X_51))),Z) != add(multiply(X_51,X_50),Z)
| add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) = add(inverse(X_51),add(multiply(X_51,X_50),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)),add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) = add(inverse(X_51),add(multiply(X_51,X_50),Z)),
inference(resolve,[$cnf( $equal(add(multiply(X_51,add(X_50,inverse(X_51))),Z),add(multiply(X_51,X_50),Z)) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
( add(X_50,add(inverse(X_51),Z)) != add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))
| add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)) != add(inverse(X_51),add(multiply(X_51,X_50),Z))
| add(X_50,add(inverse(X_51),Z)) = add(inverse(X_51),add(multiply(X_51,X_50),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_50,add(inverse(X_51),Z)),add(inverse(X_51),add(multiply(X_51,X_50),Z))) ),[0],$fot(add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)))]]) ).
cnf(refute_0_134,plain,
( add(X_50,add(inverse(X_51),Z)) != add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))
| add(X_50,add(inverse(X_51),Z)) = add(inverse(X_51),add(multiply(X_51,X_50),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z)),add(inverse(X_51),add(multiply(X_51,X_50),Z))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
add(X_50,add(inverse(X_51),Z)) = add(inverse(X_51),add(multiply(X_51,X_50),Z)),
inference(resolve,[$cnf( $equal(add(X_50,add(inverse(X_51),Z)),add(inverse(X_51),add(multiply(X_51,add(X_50,inverse(X_51))),Z))) )],[refute_0_106,refute_0_134]) ).
cnf(refute_0_136,plain,
( add(X_50,add(inverse(X_51),Z)) != add(inverse(X_51),add(multiply(X_51,X_50),Z))
| add(inverse(X_51),add(multiply(X_51,X_50),Z)) = add(X_50,add(inverse(X_51),Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_50,add(inverse(X_51),Z)))),bind(Y0,$fot(add(inverse(X_51),add(multiply(X_51,X_50),Z))))]]) ).
cnf(refute_0_137,plain,
add(inverse(X_51),add(multiply(X_51,X_50),Z)) = add(X_50,add(inverse(X_51),Z)),
inference(resolve,[$cnf( $equal(add(X_50,add(inverse(X_51),Z)),add(inverse(X_51),add(multiply(X_51,X_50),Z))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
add(inverse(X_15),add(multiply(X_15,X_57),X_59)) = add(X_57,add(inverse(X_15),X_59)),
inference(subst,[],[refute_0_137:[bind(Z,$fot(X_59)),bind(X_50,$fot(X_57)),bind(X_51,$fot(X_15))]]) ).
cnf(refute_0_139,plain,
add(X,add(X_42,X_43)) = add(add(X_42,X_43),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(add(X_42,X_43)))]]) ).
cnf(refute_0_140,plain,
add(add(X_42,X_43),X) = add(X_42,add(X_43,X)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_42)),bind(Y,$fot(X_43)),bind(Z,$fot(X))]]) ).
cnf(refute_0_141,plain,
( add(X,add(X_42,X_43)) != add(add(X_42,X_43),X)
| add(add(X_42,X_43),X) != add(X_42,add(X_43,X))
| add(X,add(X_42,X_43)) = add(X_42,add(X_43,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,add(X_42,X_43)),add(X_42,add(X_43,X))) ),[0],$fot(add(add(X_42,X_43),X))]]) ).
cnf(refute_0_142,plain,
( add(X,add(X_42,X_43)) != add(add(X_42,X_43),X)
| add(X,add(X_42,X_43)) = add(X_42,add(X_43,X)) ),
inference(resolve,[$cnf( $equal(add(add(X_42,X_43),X),add(X_42,add(X_43,X))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
add(X,add(X_42,X_43)) = add(X_42,add(X_43,X)),
inference(resolve,[$cnf( $equal(add(X,add(X_42,X_43)),add(add(X_42,X_43),X)) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( add(X,add(X_42,X_43)) != add(X_42,add(X_43,X))
| add(X_42,add(X_43,X)) = add(X,add(X_42,X_43)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,add(X_42,X_43)))),bind(Y0,$fot(add(X_42,add(X_43,X))))]]) ).
cnf(refute_0_145,plain,
add(X_42,add(X_43,X)) = add(X,add(X_42,X_43)),
inference(resolve,[$cnf( $equal(add(X,add(X_42,X_43)),add(X_42,add(X_43,X))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
add(multiply(X_15,X_57),add(X_59,inverse(X_15))) = add(inverse(X_15),add(multiply(X_15,X_57),X_59)),
inference(subst,[],[refute_0_145:[bind(X,$fot(inverse(X_15))),bind(X_42,$fot(multiply(X_15,X_57))),bind(X_43,$fot(X_59))]]) ).
cnf(refute_0_147,plain,
( add(multiply(X_15,X_57),add(X_59,inverse(X_15))) != add(inverse(X_15),add(multiply(X_15,X_57),X_59))
| add(inverse(X_15),add(multiply(X_15,X_57),X_59)) != add(X_57,add(inverse(X_15),X_59))
| add(multiply(X_15,X_57),add(X_59,inverse(X_15))) = add(X_57,add(inverse(X_15),X_59)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(add(multiply(X_15,X_57),add(X_59,inverse(X_15))))),bind(Y0,$fot(add(inverse(X_15),add(multiply(X_15,X_57),X_59)))),bind(Z0,$fot(add(X_57,add(inverse(X_15),X_59))))]]) ).
cnf(refute_0_148,plain,
( add(inverse(X_15),add(multiply(X_15,X_57),X_59)) != add(X_57,add(inverse(X_15),X_59))
| add(multiply(X_15,X_57),add(X_59,inverse(X_15))) = add(X_57,add(inverse(X_15),X_59)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_15,X_57),add(X_59,inverse(X_15))),add(inverse(X_15),add(multiply(X_15,X_57),X_59))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
add(multiply(X_15,X_57),add(X_59,inverse(X_15))) = add(X_57,add(inverse(X_15),X_59)),
inference(resolve,[$cnf( $equal(add(inverse(X_15),add(multiply(X_15,X_57),X_59)),add(X_57,add(inverse(X_15),X_59))) )],[refute_0_138,refute_0_148]) ).
cnf(refute_0_150,plain,
add(add(multiply(X_15,X_57),X_59),inverse(X_15)) = add(multiply(X_15,X_57),add(X_59,inverse(X_15))),
inference(subst,[],[associativity_of_add:[bind(X,$fot(multiply(X_15,X_57))),bind(Y,$fot(X_59)),bind(Z,$fot(inverse(X_15)))]]) ).
cnf(refute_0_151,plain,
( add(multiply(X_15,X_57),add(X_59,inverse(X_15))) != add(X_57,add(inverse(X_15),X_59))
| add(add(multiply(X_15,X_57),X_59),inverse(X_15)) != add(multiply(X_15,X_57),add(X_59,inverse(X_15)))
| add(add(multiply(X_15,X_57),X_59),inverse(X_15)) = add(X_57,add(inverse(X_15),X_59)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(add(add(multiply(X_15,X_57),X_59),inverse(X_15)))),bind(Y0,$fot(add(multiply(X_15,X_57),add(X_59,inverse(X_15))))),bind(Z0,$fot(add(X_57,add(inverse(X_15),X_59))))]]) ).
cnf(refute_0_152,plain,
( add(multiply(X_15,X_57),add(X_59,inverse(X_15))) != add(X_57,add(inverse(X_15),X_59))
| add(add(multiply(X_15,X_57),X_59),inverse(X_15)) = add(X_57,add(inverse(X_15),X_59)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_15,X_57),X_59),inverse(X_15)),add(multiply(X_15,X_57),add(X_59,inverse(X_15)))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
add(add(multiply(X_15,X_57),X_59),inverse(X_15)) = add(X_57,add(inverse(X_15),X_59)),
inference(resolve,[$cnf( $equal(add(multiply(X_15,X_57),add(X_59,inverse(X_15))),add(X_57,add(inverse(X_15),X_59))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) = multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))),
introduced(tautology,[refl,[$fot(multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))))]]) ).
cnf(refute_0_155,plain,
( multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) != multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15)))
| add(add(multiply(X_15,X_57),X_59),inverse(X_15)) != add(X_57,add(inverse(X_15),X_59))
| multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) = multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))),multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15)))) ),[1,1],$fot(add(X_57,add(inverse(X_15),X_59)))]]) ).
cnf(refute_0_156,plain,
( add(add(multiply(X_15,X_57),X_59),inverse(X_15)) != add(X_57,add(inverse(X_15),X_59))
| multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) = multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))),multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15)))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) = multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59))),
inference(resolve,[$cnf( $equal(add(add(multiply(X_15,X_57),X_59),inverse(X_15)),add(X_57,add(inverse(X_15),X_59))) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
( multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) != multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59)))
| multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) != add(multiply(X_15,X_57),X_59)
| multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59))) = add(multiply(X_15,X_57),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))),add(multiply(X_15,X_57),X_59)) ),[0],$fot(multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59))))]]) ).
cnf(refute_0_159,plain,
( multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))) != add(multiply(X_15,X_57),X_59)
| multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59))) = add(multiply(X_15,X_57),X_59) ),
inference(resolve,[$cnf( $equal(multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))),multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59)))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(add(X_15,X_59),add(X_57,add(inverse(X_15),X_59))) = add(multiply(X_15,X_57),X_59),
inference(resolve,[$cnf( $equal(multiply(add(X_15,X_59),add(add(multiply(X_15,X_57),X_59),inverse(X_15))),add(multiply(X_15,X_57),X_59)) )],[refute_0_71,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(inverse(X_344),multiply(X_344,X_17)))) = add(multiply(X_344,X_345),multiply(X_344,X_17)),
inference(subst,[],[refute_0_160:[bind(X_15,$fot(X_344)),bind(X_57,$fot(X_345)),bind(X_59,$fot(multiply(X_344,X_17)))]]) ).
cnf(refute_0_162,plain,
multiply(X_34,add(X_17,inverse(X_34))) = multiply(X_34,X_17),
inference(subst,[],[refute_0_123:[bind(X_52,$fot(X_17)),bind(X_53,$fot(X_34))]]) ).
cnf(refute_0_163,plain,
add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) = add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))),
introduced(tautology,[refl,[$fot(add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))))]]) ).
cnf(refute_0_164,plain,
( multiply(X_34,add(X_17,inverse(X_34))) != multiply(X_34,X_17)
| add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) != add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))
| add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) = add(inverse(X_34),multiply(X_34,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))),add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))) ),[1,1],$fot(multiply(X_34,X_17))]]) ).
cnf(refute_0_165,plain,
( multiply(X_34,add(X_17,inverse(X_34))) != multiply(X_34,X_17)
| add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) = add(inverse(X_34),multiply(X_34,X_17)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))),add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34))))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) = add(inverse(X_34),multiply(X_34,X_17)),
inference(resolve,[$cnf( $equal(multiply(X_34,add(X_17,inverse(X_34))),multiply(X_34,X_17)) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
( add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) != add(X_17,inverse(X_34))
| add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) != add(inverse(X_34),multiply(X_34,X_17))
| add(inverse(X_34),multiply(X_34,X_17)) = add(X_17,inverse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))),add(X_17,inverse(X_34))) ),[0],$fot(add(inverse(X_34),multiply(X_34,X_17)))]]) ).
cnf(refute_0_168,plain,
( add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))) != add(X_17,inverse(X_34))
| add(inverse(X_34),multiply(X_34,X_17)) = add(X_17,inverse(X_34)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))),add(inverse(X_34),multiply(X_34,X_17))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
add(inverse(X_34),multiply(X_34,X_17)) = add(X_17,inverse(X_34)),
inference(resolve,[$cnf( $equal(add(inverse(X_34),multiply(X_34,add(X_17,inverse(X_34)))),add(X_17,inverse(X_34))) )],[refute_0_98,refute_0_168]) ).
cnf(refute_0_170,plain,
add(inverse(X_344),multiply(X_344,X_17)) = add(X_17,inverse(X_344)),
inference(subst,[],[refute_0_169:[bind(X_34,$fot(X_344))]]) ).
cnf(refute_0_171,plain,
( multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(inverse(X_344),multiply(X_344,X_17)))) != add(multiply(X_344,X_345),multiply(X_344,X_17))
| add(inverse(X_344),multiply(X_344,X_17)) != add(X_17,inverse(X_344))
| multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = add(multiply(X_344,X_345),multiply(X_344,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(inverse(X_344),multiply(X_344,X_17)))),add(multiply(X_344,X_345),multiply(X_344,X_17))) ),[0,1,1],$fot(add(X_17,inverse(X_344)))]]) ).
cnf(refute_0_172,plain,
( multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(inverse(X_344),multiply(X_344,X_17)))) != add(multiply(X_344,X_345),multiply(X_344,X_17))
| multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = add(multiply(X_344,X_345),multiply(X_344,X_17)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_344),multiply(X_344,X_17)),add(X_17,inverse(X_344))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = add(multiply(X_344,X_345),multiply(X_344,X_17)),
inference(resolve,[$cnf( $equal(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(inverse(X_344),multiply(X_344,X_17)))),add(multiply(X_344,X_345),multiply(X_344,X_17))) )],[refute_0_161,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(X_45,add(inverse(X_45),X_20)) = multiply(X_45,multiply(add(X_45,X_20),add(inverse(X_45),X_20))),
inference(subst,[],[refute_0_118:[bind(X_47,$fot(add(inverse(X_45),X_20)))]]) ).
cnf(refute_0_175,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_176,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_2:[bind(X0,$fot(add(inverse(X_15),X_14))),bind(Y0,$fot(add(X_14,inverse(X_15))))]]) ).
cnf(refute_0_177,plain,
add(X_14,inverse(X_15)) = add(inverse(X_15),X_14),
inference(resolve,[$cnf( $equal(add(inverse(X_15),X_14),add(X_14,inverse(X_15))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
( multiply(add(X_14,X_15),add(X_14,inverse(X_15))) != X_14
| add(X_14,inverse(X_15)) != add(inverse(X_15),X_14)
| multiply(add(X_14,X_15),add(inverse(X_15),X_14)) = X_14 ),
introduced(tautology,[equality,[$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_179,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( $equal(add(X_14,inverse(X_15)),add(inverse(X_15),X_14)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(add(X_14,X_15),add(inverse(X_15),X_14)) = X_14,
inference(resolve,[$cnf( $equal(multiply(add(X_14,X_15),add(X_14,inverse(X_15))),X_14) )],[refute_0_23,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(add(X_27,X_28),add(inverse(X_28),X_27)) = X_27,
inference(subst,[],[refute_0_180:[bind(X_14,$fot(X_27)),bind(X_15,$fot(X_28))]]) ).
cnf(refute_0_182,plain,
add(X_28,X_27) = add(X_27,X_28),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_28)),bind(Y,$fot(X_27))]]) ).
cnf(refute_0_183,plain,
( add(X_28,X_27) != add(X_27,X_28)
| add(X_27,X_28) = add(X_28,X_27) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_28,X_27))),bind(Y0,$fot(add(X_27,X_28)))]]) ).
cnf(refute_0_184,plain,
add(X_27,X_28) = add(X_28,X_27),
inference(resolve,[$cnf( $equal(add(X_28,X_27),add(X_27,X_28)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( multiply(add(X_27,X_28),add(inverse(X_28),X_27)) != X_27
| add(X_27,X_28) != add(X_28,X_27)
| multiply(add(X_28,X_27),add(inverse(X_28),X_27)) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_27,X_28),add(inverse(X_28),X_27)),X_27) ),[0,0],$fot(add(X_28,X_27))]]) ).
cnf(refute_0_186,plain,
( multiply(add(X_27,X_28),add(inverse(X_28),X_27)) != X_27
| multiply(add(X_28,X_27),add(inverse(X_28),X_27)) = X_27 ),
inference(resolve,[$cnf( $equal(add(X_27,X_28),add(X_28,X_27)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(add(X_28,X_27),add(inverse(X_28),X_27)) = X_27,
inference(resolve,[$cnf( $equal(multiply(add(X_27,X_28),add(inverse(X_28),X_27)),X_27) )],[refute_0_181,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(add(X_45,X_20),add(inverse(X_45),X_20)) = X_20,
inference(subst,[],[refute_0_187:[bind(X_27,$fot(X_20)),bind(X_28,$fot(X_45))]]) ).
cnf(refute_0_189,plain,
( multiply(X_45,add(inverse(X_45),X_20)) != multiply(X_45,multiply(add(X_45,X_20),add(inverse(X_45),X_20)))
| multiply(add(X_45,X_20),add(inverse(X_45),X_20)) != X_20
| multiply(X_45,add(inverse(X_45),X_20)) = multiply(X_45,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,add(inverse(X_45),X_20)),multiply(X_45,multiply(add(X_45,X_20),add(inverse(X_45),X_20)))) ),[1,1],$fot(X_20)]]) ).
cnf(refute_0_190,plain,
( multiply(X_45,add(inverse(X_45),X_20)) != multiply(X_45,multiply(add(X_45,X_20),add(inverse(X_45),X_20)))
| multiply(X_45,add(inverse(X_45),X_20)) = multiply(X_45,X_20) ),
inference(resolve,[$cnf( $equal(multiply(add(X_45,X_20),add(inverse(X_45),X_20)),X_20) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(X_45,add(inverse(X_45),X_20)) = multiply(X_45,X_20),
inference(resolve,[$cnf( $equal(multiply(X_45,add(inverse(X_45),X_20)),multiply(X_45,multiply(add(X_45,X_20),add(inverse(X_45),X_20)))) )],[refute_0_174,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(X_45,add(inverse(X_45),add(X_78,add(X_79,inverse(X_45))))) = multiply(X_45,add(X_78,add(X_79,inverse(X_45)))),
inference(subst,[],[refute_0_191:[bind(X_20,$fot(add(X_78,add(X_79,inverse(X_45)))))]]) ).
cnf(refute_0_193,plain,
add(add(X_9,X_24),multiply(X_9,add(X_9,X_24))) = add(X_9,X_24),
inference(subst,[],[refute_0_54:[bind(X_10,$fot(add(X_9,X_24)))]]) ).
cnf(refute_0_194,plain,
multiply(X_9,add(X_9,X_24)) = X_9,
inference(subst,[],[refute_0_114:[bind(X_19,$fot(X_9)),bind(X_20,$fot(X_24))]]) ).
cnf(refute_0_195,plain,
( multiply(X_9,add(X_9,X_24)) != X_9
| add(add(X_9,X_24),multiply(X_9,add(X_9,X_24))) != add(X_9,X_24)
| add(add(X_9,X_24),X_9) = add(X_9,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_9,X_24),multiply(X_9,add(X_9,X_24))),add(X_9,X_24)) ),[0,1],$fot(X_9)]]) ).
cnf(refute_0_196,plain,
( add(add(X_9,X_24),multiply(X_9,add(X_9,X_24))) != add(X_9,X_24)
| add(add(X_9,X_24),X_9) = add(X_9,X_24) ),
inference(resolve,[$cnf( $equal(multiply(X_9,add(X_9,X_24)),X_9) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
add(add(X_9,X_24),X_9) = add(X_9,X_24),
inference(resolve,[$cnf( $equal(add(add(X_9,X_24),multiply(X_9,add(X_9,X_24))),add(X_9,X_24)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
add(add(X_9,X_24),X_9) = add(X_9,add(X_24,X_9)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_9)),bind(Y,$fot(X_24)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_199,plain,
( add(add(X_9,X_24),X_9) != add(X_9,X_24)
| add(add(X_9,X_24),X_9) != add(X_9,add(X_24,X_9))
| add(X_9,add(X_24,X_9)) = add(X_9,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_9,X_24),X_9),add(X_9,X_24)) ),[0],$fot(add(X_9,add(X_24,X_9)))]]) ).
cnf(refute_0_200,plain,
( add(add(X_9,X_24),X_9) != add(X_9,X_24)
| add(X_9,add(X_24,X_9)) = add(X_9,X_24) ),
inference(resolve,[$cnf( $equal(add(add(X_9,X_24),X_9),add(X_9,add(X_24,X_9))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
add(X_9,add(X_24,X_9)) = add(X_9,X_24),
inference(resolve,[$cnf( $equal(add(add(X_9,X_24),X_9),add(X_9,X_24)) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
add(X_9,add(add(X_42,X_43),X_9)) = add(X_9,add(X_42,X_43)),
inference(subst,[],[refute_0_201:[bind(X_24,$fot(add(X_42,X_43)))]]) ).
cnf(refute_0_203,plain,
add(add(X_42,X_43),X_9) = add(X_42,add(X_43,X_9)),
inference(subst,[],[associativity_of_add:[bind(X,$fot(X_42)),bind(Y,$fot(X_43)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_204,plain,
( add(X_9,add(add(X_42,X_43),X_9)) != add(X_9,add(X_42,X_43))
| add(add(X_42,X_43),X_9) != add(X_42,add(X_43,X_9))
| add(X_9,add(X_42,add(X_43,X_9))) = add(X_9,add(X_42,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_9,add(add(X_42,X_43),X_9)),add(X_9,add(X_42,X_43))) ),[0,1],$fot(add(X_42,add(X_43,X_9)))]]) ).
cnf(refute_0_205,plain,
( add(X_9,add(add(X_42,X_43),X_9)) != add(X_9,add(X_42,X_43))
| add(X_9,add(X_42,add(X_43,X_9))) = add(X_9,add(X_42,X_43)) ),
inference(resolve,[$cnf( $equal(add(add(X_42,X_43),X_9),add(X_42,add(X_43,X_9))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
add(X_9,add(X_42,add(X_43,X_9))) = add(X_9,add(X_42,X_43)),
inference(resolve,[$cnf( $equal(add(X_9,add(add(X_42,X_43),X_9)),add(X_9,add(X_42,X_43))) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
add(inverse(X_45),add(X_78,add(X_79,inverse(X_45)))) = add(inverse(X_45),add(X_78,X_79)),
inference(subst,[],[refute_0_206:[bind(X_42,$fot(X_78)),bind(X_43,$fot(X_79)),bind(X_9,$fot(inverse(X_45)))]]) ).
cnf(refute_0_208,plain,
( multiply(X_45,add(inverse(X_45),add(X_78,add(X_79,inverse(X_45))))) != multiply(X_45,add(X_78,add(X_79,inverse(X_45))))
| add(inverse(X_45),add(X_78,add(X_79,inverse(X_45)))) != add(inverse(X_45),add(X_78,X_79))
| multiply(X_45,add(inverse(X_45),add(X_78,X_79))) = multiply(X_45,add(X_78,add(X_79,inverse(X_45)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,add(inverse(X_45),add(X_78,add(X_79,inverse(X_45))))),multiply(X_45,add(X_78,add(X_79,inverse(X_45))))) ),[0,1],$fot(add(inverse(X_45),add(X_78,X_79)))]]) ).
cnf(refute_0_209,plain,
( multiply(X_45,add(inverse(X_45),add(X_78,add(X_79,inverse(X_45))))) != multiply(X_45,add(X_78,add(X_79,inverse(X_45))))
| multiply(X_45,add(inverse(X_45),add(X_78,X_79))) = multiply(X_45,add(X_78,add(X_79,inverse(X_45)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_45),add(X_78,add(X_79,inverse(X_45)))),add(inverse(X_45),add(X_78,X_79))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(X_45,add(inverse(X_45),add(X_78,X_79))) = multiply(X_45,add(X_78,add(X_79,inverse(X_45)))),
inference(resolve,[$cnf( $equal(multiply(X_45,add(inverse(X_45),add(X_78,add(X_79,inverse(X_45))))),multiply(X_45,add(X_78,add(X_79,inverse(X_45))))) )],[refute_0_192,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(X_45,add(inverse(X_45),add(X_78,X_79))) = multiply(X_45,add(X_78,X_79)),
inference(subst,[],[refute_0_191:[bind(X_20,$fot(add(X_78,X_79)))]]) ).
cnf(refute_0_212,plain,
( multiply(X_45,add(inverse(X_45),add(X_78,X_79))) != multiply(X_45,add(X_78,X_79))
| multiply(X_45,add(inverse(X_45),add(X_78,X_79))) != multiply(X_45,add(X_78,add(X_79,inverse(X_45))))
| multiply(X_45,add(X_78,X_79)) = multiply(X_45,add(X_78,add(X_79,inverse(X_45)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,add(inverse(X_45),add(X_78,X_79))),multiply(X_45,add(X_78,add(X_79,inverse(X_45))))) ),[0],$fot(multiply(X_45,add(X_78,X_79)))]]) ).
cnf(refute_0_213,plain,
( multiply(X_45,add(inverse(X_45),add(X_78,X_79))) != multiply(X_45,add(X_78,add(X_79,inverse(X_45))))
| multiply(X_45,add(X_78,X_79)) = multiply(X_45,add(X_78,add(X_79,inverse(X_45)))) ),
inference(resolve,[$cnf( $equal(multiply(X_45,add(inverse(X_45),add(X_78,X_79))),multiply(X_45,add(X_78,X_79))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(X_45,add(X_78,X_79)) = multiply(X_45,add(X_78,add(X_79,inverse(X_45)))),
inference(resolve,[$cnf( $equal(multiply(X_45,add(inverse(X_45),add(X_78,X_79))),multiply(X_45,add(X_78,add(X_79,inverse(X_45))))) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
( multiply(X_45,add(X_78,X_79)) != multiply(X_45,add(X_78,add(X_79,inverse(X_45))))
| multiply(X_45,add(X_78,add(X_79,inverse(X_45)))) = multiply(X_45,add(X_78,X_79)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_45,add(X_78,X_79)))),bind(Y0,$fot(multiply(X_45,add(X_78,add(X_79,inverse(X_45))))))]]) ).
cnf(refute_0_216,plain,
multiply(X_45,add(X_78,add(X_79,inverse(X_45)))) = multiply(X_45,add(X_78,X_79)),
inference(resolve,[$cnf( $equal(multiply(X_45,add(X_78,X_79)),multiply(X_45,add(X_78,add(X_79,inverse(X_45))))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(X_344,add(X_345,add(X_17,inverse(X_344)))) = multiply(X_344,add(X_345,X_17)),
inference(subst,[],[refute_0_216:[bind(X_45,$fot(X_344)),bind(X_78,$fot(X_345)),bind(X_79,$fot(X_17))]]) ).
cnf(refute_0_218,plain,
add(X_344,multiply(X_344,X_17)) = X_344,
inference(subst,[],[refute_0_61:[bind(X_12,$fot(X_344)),bind(X_13,$fot(X_17))]]) ).
cnf(refute_0_219,plain,
multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))),
introduced(tautology,[refl,[$fot(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))))]]) ).
cnf(refute_0_220,plain,
( multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) != multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344))))
| add(X_344,multiply(X_344,X_17)) != X_344
| multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = multiply(X_344,add(X_345,add(X_17,inverse(X_344)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))),multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344))))) ),[1,0],$fot(X_344)]]) ).
cnf(refute_0_221,plain,
( add(X_344,multiply(X_344,X_17)) != X_344
| multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = multiply(X_344,add(X_345,add(X_17,inverse(X_344)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))),multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344))))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = multiply(X_344,add(X_345,add(X_17,inverse(X_344)))),
inference(resolve,[$cnf( $equal(add(X_344,multiply(X_344,X_17)),X_344) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
( multiply(X_344,add(X_345,add(X_17,inverse(X_344)))) != multiply(X_344,add(X_345,X_17))
| multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) != multiply(X_344,add(X_345,add(X_17,inverse(X_344))))
| multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = multiply(X_344,add(X_345,X_17)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))))),bind(Y0,$fot(multiply(X_344,add(X_345,add(X_17,inverse(X_344)))))),bind(Z0,$fot(multiply(X_344,add(X_345,X_17))))]]) ).
cnf(refute_0_224,plain,
( multiply(X_344,add(X_345,add(X_17,inverse(X_344)))) != multiply(X_344,add(X_345,X_17))
| multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = multiply(X_344,add(X_345,X_17)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))),multiply(X_344,add(X_345,add(X_17,inverse(X_344))))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) = multiply(X_344,add(X_345,X_17)),
inference(resolve,[$cnf( $equal(multiply(X_344,add(X_345,add(X_17,inverse(X_344)))),multiply(X_344,add(X_345,X_17))) )],[refute_0_217,refute_0_224]) ).
cnf(refute_0_226,plain,
( multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) != multiply(X_344,add(X_345,X_17))
| multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) != add(multiply(X_344,X_345),multiply(X_344,X_17))
| multiply(X_344,add(X_345,X_17)) = add(multiply(X_344,X_345),multiply(X_344,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))),add(multiply(X_344,X_345),multiply(X_344,X_17))) ),[0],$fot(multiply(X_344,add(X_345,X_17)))]]) ).
cnf(refute_0_227,plain,
( multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))) != add(multiply(X_344,X_345),multiply(X_344,X_17))
| multiply(X_344,add(X_345,X_17)) = add(multiply(X_344,X_345),multiply(X_344,X_17)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))),multiply(X_344,add(X_345,X_17))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(X_344,add(X_345,X_17)) = add(multiply(X_344,X_345),multiply(X_344,X_17)),
inference(resolve,[$cnf( $equal(multiply(add(X_344,multiply(X_344,X_17)),add(X_345,add(X_17,inverse(X_344)))),add(multiply(X_344,X_345),multiply(X_344,X_17))) )],[refute_0_173,refute_0_227]) ).
cnf(refute_0_229,plain,
( multiply(X_344,add(X_345,X_17)) != add(multiply(X_344,X_345),multiply(X_344,X_17))
| add(multiply(X_344,X_345),multiply(X_344,X_17)) = multiply(X_344,add(X_345,X_17)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_344,add(X_345,X_17)))),bind(Y0,$fot(add(multiply(X_344,X_345),multiply(X_344,X_17))))]]) ).
cnf(refute_0_230,plain,
add(multiply(X_344,X_345),multiply(X_344,X_17)) = multiply(X_344,add(X_345,X_17)),
inference(resolve,[$cnf( $equal(multiply(X_344,add(X_345,X_17)),add(multiply(X_344,X_345),multiply(X_344,X_17))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
add(multiply(a,b),multiply(a,c)) = multiply(a,add(b,c)),
inference(subst,[],[refute_0_230:[bind(X_17,$fot(c)),bind(X_344,$fot(a)),bind(X_345,$fot(b))]]) ).
cnf(refute_0_232,plain,
( multiply(a,add(b,c)) != multiply(a,add(b,c))
| add(multiply(a,b),multiply(a,c)) != multiply(a,add(b,c))
| multiply(a,add(b,c)) = add(multiply(a,b),multiply(a,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(b,c)),add(multiply(a,b),multiply(a,c))) ),[1],$fot(multiply(a,add(b,c)))]]) ).
cnf(refute_0_233,plain,
( multiply(a,add(b,c)) != multiply(a,add(b,c))
| multiply(a,add(b,c)) = add(multiply(a,b),multiply(a,c)) ),
inference(resolve,[$cnf( $equal(add(multiply(a,b),multiply(a,c)),multiply(a,add(b,c))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(a,add(b,c)) != multiply(a,add(b,c)),
inference(resolve,[$cnf( $equal(multiply(a,add(b,c)),add(multiply(a,b),multiply(a,c))) )],[refute_0_233,refute_0_22]) ).
cnf(refute_0_235,plain,
multiply(a,add(b,c)) = multiply(a,add(b,c)),
introduced(tautology,[refl,[$fot(multiply(a,add(b,c)))]]) ).
cnf(refute_0_236,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,add(b,c)),multiply(a,add(b,c))) )],[refute_0_235,refute_0_234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 1 20:37:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 36.05/36.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.05/36.28
% 36.05/36.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 36.05/36.30
%------------------------------------------------------------------------------