TSTP Solution File: KLE079+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE079+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 : Sun Jul 17 02:15:05 EDT 2022
% Result : Theorem 28.46s 28.64s
% Output : CNFRefutation 28.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 128
% Syntax : Number of formulae : 574 ( 325 unt; 0 def)
% Number of atoms : 936 ( 935 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 722 ( 360 ~; 354 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 983 ( 33 sgn 87 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
fof(domain1,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ).
fof(domain2,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ).
fof(domain3,axiom,
! [X0] : addition(domain(X0),one) = one ).
fof(domain4,axiom,
domain(zero) = zero ).
fof(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ).
fof(goals,conjecture,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> multiplication(antidomain(X0),domain(X0)) = zero ) ).
fof(subgoal_0,plain,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> multiplication(antidomain(X0),domain(X0)) = zero ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> multiplication(antidomain(X0),domain(X0)) = zero ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X0] : multiplication(antidomain(X0),domain(X0)) != zero
& ! [X1] : addition(domain(X1),antidomain(X1)) = one
& ! [X1] : multiplication(domain(X1),antidomain(X1)) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [X0] : multiplication(antidomain(X0),domain(X0)) != zero,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != zero,
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_4,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_6,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_8,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_10,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X0] : addition(domain(X0),one) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_12,plain,
! [X0] : addition(domain(X0),one) = one,
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_14,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_16,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = zero,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_18,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = zero,
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_20,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_22,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_24,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_26,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[domain5]) ).
fof(normalize_0_28,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_30,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_32,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = one,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_34,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = one,
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
domain(zero) = zero,
inference(canonicalize,[],[domain4]) ).
cnf(refute_0_0,plain,
multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != zero,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
multiplication(addition(X_108,one),X_110) = addition(multiplication(X_108,X_110),multiplication(one,X_110)),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_108)),bind(B,$fot(one)),bind(C,$fot(X_110))]]) ).
cnf(refute_0_4,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
multiplication(one,X_110) = X_110,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_110))]]) ).
cnf(refute_0_6,plain,
( multiplication(addition(X_108,one),X_110) != addition(multiplication(X_108,X_110),multiplication(one,X_110))
| multiplication(one,X_110) != X_110
| multiplication(addition(X_108,one),X_110) = addition(multiplication(X_108,X_110),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_108,one),X_110),addition(multiplication(X_108,X_110),multiplication(one,X_110))) ),[1,1],$fot(X_110)]]) ).
cnf(refute_0_7,plain,
( multiplication(addition(X_108,one),X_110) != addition(multiplication(X_108,X_110),multiplication(one,X_110))
| multiplication(addition(X_108,one),X_110) = addition(multiplication(X_108,X_110),X_110) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_110),X_110) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiplication(addition(X_108,one),X_110) = addition(multiplication(X_108,X_110),X_110),
inference(resolve,[$cnf( $equal(multiplication(addition(X_108,one),X_110),addition(multiplication(X_108,X_110),multiplication(one,X_110))) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_14,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
addition(multiplication(X_108,X_110),X_110) = addition(X_110,multiplication(X_108,X_110)),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_110)),bind(B,$fot(multiplication(X_108,X_110)))]]) ).
cnf(refute_0_16,plain,
( addition(multiplication(X_108,X_110),X_110) != addition(X_110,multiplication(X_108,X_110))
| multiplication(addition(X_108,one),X_110) != addition(multiplication(X_108,X_110),X_110)
| multiplication(addition(X_108,one),X_110) = addition(X_110,multiplication(X_108,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_108,one),X_110),addition(multiplication(X_108,X_110),X_110)) ),[1],$fot(addition(X_110,multiplication(X_108,X_110)))]]) ).
cnf(refute_0_17,plain,
( multiplication(addition(X_108,one),X_110) != addition(multiplication(X_108,X_110),X_110)
| multiplication(addition(X_108,one),X_110) = addition(X_110,multiplication(X_108,X_110)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_108,X_110),X_110),addition(X_110,multiplication(X_108,X_110))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
multiplication(addition(X_108,one),X_110) = addition(X_110,multiplication(X_108,X_110)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_108,one),X_110),addition(multiplication(X_108,X_110),X_110)) )],[refute_0_8,refute_0_17]) ).
cnf(refute_0_19,plain,
multiplication(addition(domain(X0),one),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(subst,[],[refute_0_18:[bind(X_108,$fot(domain(X0))),bind(X_110,$fot(X0))]]) ).
cnf(refute_0_20,plain,
( multiplication(addition(domain(X0),one),X0) != addition(X0,multiplication(domain(X0),X0))
| addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(addition(X0,multiplication(domain(X0),X0))))]]) ).
cnf(refute_0_21,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),addition(X0,multiplication(domain(X0),X0))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(addition(domain(X0),one),X0)
| addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) ),[0],$fot(multiplication(addition(domain(X0),one),X0))]]) ).
cnf(refute_0_23,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(addition(domain(X0),one),X0)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) )],[refute_0_1,refute_0_23]) ).
cnf(refute_0_25,plain,
multiplication(one,X0) = X0,
inference(subst,[],[refute_0_4:[bind(A,$fot(X0))]]) ).
cnf(refute_0_26,plain,
addition(domain(X0),one) = one,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_27,plain,
addition(domain(X0),one) = addition(one,domain(X0)),
inference(subst,[],[refute_0_14:[bind(A,$fot(one)),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_28,plain,
( addition(domain(X0),one) != addition(one,domain(X0))
| addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),one),one) ),[0],$fot(addition(one,domain(X0)))]]) ).
cnf(refute_0_29,plain,
( addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),addition(one,domain(X0))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
addition(one,domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(addition(one,domain(X0)),X0),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),X0))]]) ).
cnf(refute_0_32,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) != multiplication(addition(one,domain(X0)),X0)
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_33,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_36,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_12,refute_0_35]) ).
cnf(refute_0_37,plain,
( multiplication(addition(one,domain(X0)),X0) != multiplication(one,X0)
| multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Y,$fot(multiplication(one,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_38,plain,
( multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(one,X0)) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
multiplication(addition(one,domain(X0)),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(one,X0),X0) )],[refute_0_25,refute_0_38]) ).
cnf(refute_0_40,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_41,plain,
addition(addition(X_48,X_49),addition(X_48,X_49)) = addition(addition(addition(X_48,X_49),X_48),X_49),
inference(subst,[],[refute_0_40:[bind(A,$fot(addition(X_48,X_49))),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).
cnf(refute_0_42,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_43,plain,
addition(addition(X_48,X_49),addition(X_48,X_49)) = addition(X_48,X_49),
inference(subst,[],[refute_0_42:[bind(A,$fot(addition(X_48,X_49)))]]) ).
cnf(refute_0_44,plain,
( addition(addition(X_48,X_49),addition(X_48,X_49)) != addition(X_48,X_49)
| addition(addition(X_48,X_49),addition(X_48,X_49)) != addition(addition(addition(X_48,X_49),X_48),X_49)
| addition(X_48,X_49) = addition(addition(addition(X_48,X_49),X_48),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_48,X_49),addition(X_48,X_49)),addition(addition(addition(X_48,X_49),X_48),X_49)) ),[0],$fot(addition(X_48,X_49))]]) ).
cnf(refute_0_45,plain,
( addition(addition(X_48,X_49),addition(X_48,X_49)) != addition(addition(addition(X_48,X_49),X_48),X_49)
| addition(X_48,X_49) = addition(addition(addition(X_48,X_49),X_48),X_49) ),
inference(resolve,[$cnf( $equal(addition(addition(X_48,X_49),addition(X_48,X_49)),addition(X_48,X_49)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
addition(X_48,X_49) = addition(addition(addition(X_48,X_49),X_48),X_49),
inference(resolve,[$cnf( $equal(addition(addition(X_48,X_49),addition(X_48,X_49)),addition(addition(addition(X_48,X_49),X_48),X_49)) )],[refute_0_41,refute_0_45]) ).
cnf(refute_0_47,plain,
addition(X_47,addition(X_48,X_49)) = addition(addition(X_47,X_48),X_49),
inference(subst,[],[refute_0_40:[bind(A,$fot(X_47)),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).
cnf(refute_0_48,plain,
addition(X_49,X_48) = addition(X_48,X_49),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_49)),bind(B,$fot(X_48))]]) ).
cnf(refute_0_49,plain,
( addition(X_49,X_48) != addition(X_48,X_49)
| addition(X_48,X_49) = addition(X_49,X_48) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(addition(X_49,X_48))),bind(Y,$fot(addition(X_48,X_49)))]]) ).
cnf(refute_0_50,plain,
addition(X_48,X_49) = addition(X_49,X_48),
inference(resolve,[$cnf( $equal(addition(X_49,X_48),addition(X_48,X_49)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( addition(X_47,addition(X_48,X_49)) != addition(addition(X_47,X_48),X_49)
| addition(X_48,X_49) != addition(X_49,X_48)
| addition(X_47,addition(X_49,X_48)) = addition(addition(X_47,X_48),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_47,addition(X_48,X_49)),addition(addition(X_47,X_48),X_49)) ),[0,1],$fot(addition(X_49,X_48))]]) ).
cnf(refute_0_52,plain,
( addition(X_47,addition(X_48,X_49)) != addition(addition(X_47,X_48),X_49)
| addition(X_47,addition(X_49,X_48)) = addition(addition(X_47,X_48),X_49) ),
inference(resolve,[$cnf( $equal(addition(X_48,X_49),addition(X_49,X_48)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
addition(X_47,addition(X_49,X_48)) = addition(addition(X_47,X_48),X_49),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_48,X_49)),addition(addition(X_47,X_48),X_49)) )],[refute_0_47,refute_0_52]) ).
cnf(refute_0_54,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_55,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_40,refute_0_54]) ).
cnf(refute_0_56,plain,
addition(addition(X_47,X_48),X_49) = addition(X_47,addition(X_48,X_49)),
inference(subst,[],[refute_0_55:[bind(A,$fot(X_47)),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).
cnf(refute_0_57,plain,
( addition(X_47,addition(X_49,X_48)) != addition(addition(X_47,X_48),X_49)
| addition(addition(X_47,X_48),X_49) != addition(X_47,addition(X_48,X_49))
| addition(X_47,addition(X_49,X_48)) = addition(X_47,addition(X_48,X_49)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_47,addition(X_49,X_48)),addition(X_47,addition(X_48,X_49))) ),[0],$fot(addition(addition(X_47,X_48),X_49))]]) ).
cnf(refute_0_58,plain,
( addition(X_47,addition(X_49,X_48)) != addition(addition(X_47,X_48),X_49)
| addition(X_47,addition(X_49,X_48)) = addition(X_47,addition(X_48,X_49)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_47,X_48),X_49),addition(X_47,addition(X_48,X_49))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
addition(X_47,addition(X_49,X_48)) = addition(X_47,addition(X_48,X_49)),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_49,X_48)),addition(addition(X_47,X_48),X_49)) )],[refute_0_53,refute_0_58]) ).
cnf(refute_0_60,plain,
( addition(X_47,addition(X_49,X_48)) != addition(X_47,addition(X_48,X_49))
| addition(X_47,addition(X_48,X_49)) = addition(X_47,addition(X_49,X_48)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(addition(X_47,addition(X_49,X_48)))),bind(Y,$fot(addition(X_47,addition(X_48,X_49))))]]) ).
cnf(refute_0_61,plain,
addition(X_47,addition(X_48,X_49)) = addition(X_47,addition(X_49,X_48)),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_49,X_48)),addition(X_47,addition(X_48,X_49))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
addition(X_49,addition(addition(X_48,X_49),X_48)) = addition(X_49,addition(X_48,addition(X_48,X_49))),
inference(subst,[],[refute_0_61:[bind(X_47,$fot(X_49)),bind(X_48,$fot(addition(X_48,X_49))),bind(X_49,$fot(X_48))]]) ).
cnf(refute_0_63,plain,
addition(A,addition(X_47,X_48)) = addition(addition(X_47,X_48),A),
inference(subst,[],[refute_0_9:[bind(B,$fot(addition(X_47,X_48)))]]) ).
cnf(refute_0_64,plain,
addition(X_47,addition(X_48,A)) = addition(addition(X_47,X_48),A),
inference(subst,[],[refute_0_40:[bind(A,$fot(X_47)),bind(B,$fot(X_48)),bind(C,$fot(A))]]) ).
cnf(refute_0_65,plain,
( addition(X_47,addition(X_48,A)) != addition(addition(X_47,X_48),A)
| addition(addition(X_47,X_48),A) = addition(X_47,addition(X_48,A)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(addition(X_47,addition(X_48,A)))),bind(Y,$fot(addition(addition(X_47,X_48),A)))]]) ).
cnf(refute_0_66,plain,
addition(addition(X_47,X_48),A) = addition(X_47,addition(X_48,A)),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_48,A)),addition(addition(X_47,X_48),A)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( addition(A,addition(X_47,X_48)) != addition(addition(X_47,X_48),A)
| addition(addition(X_47,X_48),A) != addition(X_47,addition(X_48,A))
| addition(A,addition(X_47,X_48)) = addition(X_47,addition(X_48,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_47,X_48)),addition(X_47,addition(X_48,A))) ),[0],$fot(addition(addition(X_47,X_48),A))]]) ).
cnf(refute_0_68,plain,
( addition(A,addition(X_47,X_48)) != addition(addition(X_47,X_48),A)
| addition(A,addition(X_47,X_48)) = addition(X_47,addition(X_48,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_47,X_48),A),addition(X_47,addition(X_48,A))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
addition(A,addition(X_47,X_48)) = addition(X_47,addition(X_48,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_47,X_48)),addition(addition(X_47,X_48),A)) )],[refute_0_63,refute_0_68]) ).
cnf(refute_0_70,plain,
( addition(A,addition(X_47,X_48)) != addition(X_47,addition(X_48,A))
| addition(X_47,addition(X_48,A)) = addition(A,addition(X_47,X_48)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(addition(A,addition(X_47,X_48)))),bind(Y,$fot(addition(X_47,addition(X_48,A))))]]) ).
cnf(refute_0_71,plain,
addition(X_47,addition(X_48,A)) = addition(A,addition(X_47,X_48)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_47,X_48)),addition(X_47,addition(X_48,A))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
addition(addition(X_48,X_49),addition(X_48,X_49)) = addition(X_49,addition(addition(X_48,X_49),X_48)),
inference(subst,[],[refute_0_71:[bind(A,$fot(X_49)),bind(X_47,$fot(addition(X_48,X_49)))]]) ).
cnf(refute_0_73,plain,
( addition(X_49,addition(addition(X_48,X_49),X_48)) != addition(X_49,addition(X_48,addition(X_48,X_49)))
| addition(addition(X_48,X_49),addition(X_48,X_49)) != addition(X_49,addition(addition(X_48,X_49),X_48))
| addition(addition(X_48,X_49),addition(X_48,X_49)) = addition(X_49,addition(X_48,addition(X_48,X_49))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(addition(addition(X_48,X_49),addition(X_48,X_49)))),bind(Y,$fot(addition(X_49,addition(addition(X_48,X_49),X_48)))),bind(Z,$fot(addition(X_49,addition(X_48,addition(X_48,X_49)))))]]) ).
cnf(refute_0_74,plain,
( addition(X_49,addition(addition(X_48,X_49),X_48)) != addition(X_49,addition(X_48,addition(X_48,X_49)))
| addition(addition(X_48,X_49),addition(X_48,X_49)) = addition(X_49,addition(X_48,addition(X_48,X_49))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_48,X_49),addition(X_48,X_49)),addition(X_49,addition(addition(X_48,X_49),X_48))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
addition(addition(X_48,X_49),addition(X_48,X_49)) = addition(X_49,addition(X_48,addition(X_48,X_49))),
inference(resolve,[$cnf( $equal(addition(X_49,addition(addition(X_48,X_49),X_48)),addition(X_49,addition(X_48,addition(X_48,X_49)))) )],[refute_0_62,refute_0_74]) ).
cnf(refute_0_76,plain,
addition(addition(addition(X_48,X_49),X_48),X_49) = addition(addition(X_48,X_49),addition(X_48,X_49)),
inference(subst,[],[refute_0_55:[bind(A,$fot(addition(X_48,X_49))),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).
cnf(refute_0_77,plain,
( addition(addition(X_48,X_49),addition(X_48,X_49)) != addition(X_49,addition(X_48,addition(X_48,X_49)))
| addition(addition(addition(X_48,X_49),X_48),X_49) != addition(addition(X_48,X_49),addition(X_48,X_49))
| addition(addition(addition(X_48,X_49),X_48),X_49) = addition(X_49,addition(X_48,addition(X_48,X_49))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(addition(addition(addition(X_48,X_49),X_48),X_49))),bind(Y,$fot(addition(addition(X_48,X_49),addition(X_48,X_49)))),bind(Z,$fot(addition(X_49,addition(X_48,addition(X_48,X_49)))))]]) ).
cnf(refute_0_78,plain,
( addition(addition(X_48,X_49),addition(X_48,X_49)) != addition(X_49,addition(X_48,addition(X_48,X_49)))
| addition(addition(addition(X_48,X_49),X_48),X_49) = addition(X_49,addition(X_48,addition(X_48,X_49))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_48,X_49),X_48),X_49),addition(addition(X_48,X_49),addition(X_48,X_49))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
addition(addition(addition(X_48,X_49),X_48),X_49) = addition(X_49,addition(X_48,addition(X_48,X_49))),
inference(resolve,[$cnf( $equal(addition(addition(X_48,X_49),addition(X_48,X_49)),addition(X_49,addition(X_48,addition(X_48,X_49)))) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
( addition(X_48,X_49) != addition(addition(addition(X_48,X_49),X_48),X_49)
| addition(addition(addition(X_48,X_49),X_48),X_49) != addition(X_49,addition(X_48,addition(X_48,X_49)))
| addition(X_48,X_49) = addition(X_49,addition(X_48,addition(X_48,X_49))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_48,X_49),addition(X_49,addition(X_48,addition(X_48,X_49)))) ),[0],$fot(addition(addition(addition(X_48,X_49),X_48),X_49))]]) ).
cnf(refute_0_81,plain,
( addition(X_48,X_49) != addition(addition(addition(X_48,X_49),X_48),X_49)
| addition(X_48,X_49) = addition(X_49,addition(X_48,addition(X_48,X_49))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_48,X_49),X_48),X_49),addition(X_49,addition(X_48,addition(X_48,X_49)))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
addition(X_48,X_49) = addition(X_49,addition(X_48,addition(X_48,X_49))),
inference(resolve,[$cnf( $equal(addition(X_48,X_49),addition(addition(addition(X_48,X_49),X_48),X_49)) )],[refute_0_46,refute_0_81]) ).
cnf(refute_0_83,plain,
addition(X_48,addition(X_48,X_49)) = addition(addition(X_48,X_48),X_49),
inference(subst,[],[refute_0_40:[bind(A,$fot(X_48)),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).
cnf(refute_0_84,plain,
addition(X_48,X_48) = X_48,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_48))]]) ).
cnf(refute_0_85,plain,
( addition(X_48,X_48) != X_48
| addition(X_48,addition(X_48,X_49)) != addition(addition(X_48,X_48),X_49)
| addition(X_48,addition(X_48,X_49)) = addition(X_48,X_49) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_48,addition(X_48,X_49)),addition(addition(X_48,X_48),X_49)) ),[1,0],$fot(X_48)]]) ).
cnf(refute_0_86,plain,
( addition(X_48,addition(X_48,X_49)) != addition(addition(X_48,X_48),X_49)
| addition(X_48,addition(X_48,X_49)) = addition(X_48,X_49) ),
inference(resolve,[$cnf( $equal(addition(X_48,X_48),X_48) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
addition(X_48,addition(X_48,X_49)) = addition(X_48,X_49),
inference(resolve,[$cnf( $equal(addition(X_48,addition(X_48,X_49)),addition(addition(X_48,X_48),X_49)) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
addition(X_49,addition(X_48,addition(X_48,X_49))) = addition(X_49,addition(X_48,addition(X_48,X_49))),
introduced(tautology,[refl,[$fot(addition(X_49,addition(X_48,addition(X_48,X_49))))]]) ).
cnf(refute_0_89,plain,
( addition(X_48,addition(X_48,X_49)) != addition(X_48,X_49)
| addition(X_49,addition(X_48,addition(X_48,X_49))) != addition(X_49,addition(X_48,addition(X_48,X_49)))
| addition(X_49,addition(X_48,addition(X_48,X_49))) = addition(X_49,addition(X_48,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_49,addition(X_48,addition(X_48,X_49))),addition(X_49,addition(X_48,addition(X_48,X_49)))) ),[1,1],$fot(addition(X_48,X_49))]]) ).
cnf(refute_0_90,plain,
( addition(X_48,addition(X_48,X_49)) != addition(X_48,X_49)
| addition(X_49,addition(X_48,addition(X_48,X_49))) = addition(X_49,addition(X_48,X_49)) ),
inference(resolve,[$cnf( $equal(addition(X_49,addition(X_48,addition(X_48,X_49))),addition(X_49,addition(X_48,addition(X_48,X_49)))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
addition(X_49,addition(X_48,addition(X_48,X_49))) = addition(X_49,addition(X_48,X_49)),
inference(resolve,[$cnf( $equal(addition(X_48,addition(X_48,X_49)),addition(X_48,X_49)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
( addition(X_48,X_49) != addition(X_49,addition(X_48,addition(X_48,X_49)))
| addition(X_49,addition(X_48,addition(X_48,X_49))) != addition(X_49,addition(X_48,X_49))
| addition(X_48,X_49) = addition(X_49,addition(X_48,X_49)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_48,X_49),addition(X_49,addition(X_48,X_49))) ),[0],$fot(addition(X_49,addition(X_48,addition(X_48,X_49))))]]) ).
cnf(refute_0_93,plain,
( addition(X_48,X_49) != addition(X_49,addition(X_48,addition(X_48,X_49)))
| addition(X_48,X_49) = addition(X_49,addition(X_48,X_49)) ),
inference(resolve,[$cnf( $equal(addition(X_49,addition(X_48,addition(X_48,X_49))),addition(X_49,addition(X_48,X_49))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
addition(X_48,X_49) = addition(X_49,addition(X_48,X_49)),
inference(resolve,[$cnf( $equal(addition(X_48,X_49),addition(X_49,addition(X_48,addition(X_48,X_49)))) )],[refute_0_82,refute_0_93]) ).
cnf(refute_0_95,plain,
addition(multiplication(A,C),multiplication(B,C)) = addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))),
inference(subst,[],[refute_0_94:[bind(X_48,$fot(multiplication(A,C))),bind(X_49,$fot(multiplication(B,C)))]]) ).
cnf(refute_0_96,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_97,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_2,refute_0_96]) ).
cnf(refute_0_98,plain,
( addition(multiplication(A,C),multiplication(B,C)) != addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C)))
| addition(multiplication(A,C),multiplication(B,C)) != multiplication(addition(A,B),C)
| multiplication(addition(A,B),C) = addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(A,C),multiplication(B,C)),addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C)))) ),[0],$fot(multiplication(addition(A,B),C))]]) ).
cnf(refute_0_99,plain,
( addition(multiplication(A,C),multiplication(B,C)) != addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C)))
| multiplication(addition(A,B),C) = addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,C),multiplication(B,C)),multiplication(addition(A,B),C)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiplication(addition(A,B),C) = addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))),
inference(resolve,[$cnf( $equal(addition(multiplication(A,C),multiplication(B,C)),addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C)))) )],[refute_0_95,refute_0_99]) ).
cnf(refute_0_101,plain,
addition(B,addition(B,A)) = addition(B,A),
inference(subst,[],[refute_0_87:[bind(X_48,$fot(B)),bind(X_49,$fot(A))]]) ).
cnf(refute_0_102,plain,
multiplication(addition(B,addition(B,A)),C) = multiplication(addition(B,addition(B,A)),C),
introduced(tautology,[refl,[$fot(multiplication(addition(B,addition(B,A)),C))]]) ).
cnf(refute_0_103,plain,
( addition(B,addition(B,A)) != addition(B,A)
| multiplication(addition(B,addition(B,A)),C) != multiplication(addition(B,addition(B,A)),C)
| multiplication(addition(B,addition(B,A)),C) = multiplication(addition(B,A),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(B,addition(B,A)),C),multiplication(addition(B,addition(B,A)),C)) ),[1,0],$fot(addition(B,A))]]) ).
cnf(refute_0_104,plain,
( addition(B,addition(B,A)) != addition(B,A)
| multiplication(addition(B,addition(B,A)),C) = multiplication(addition(B,A),C) ),
inference(resolve,[$cnf( $equal(multiplication(addition(B,addition(B,A)),C),multiplication(addition(B,addition(B,A)),C)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiplication(addition(B,addition(B,A)),C) = multiplication(addition(B,A),C),
inference(resolve,[$cnf( $equal(addition(B,addition(B,A)),addition(B,A)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) = addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),
inference(subst,[],[refute_0_9:[bind(A,$fot(multiplication(X_109,X_110))),bind(B,$fot(multiplication(X_108,X_110)))]]) ).
cnf(refute_0_107,plain,
multiplication(addition(X_108,X_109),X_110) = addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_108)),bind(B,$fot(X_109)),bind(C,$fot(X_110))]]) ).
cnf(refute_0_108,plain,
( multiplication(addition(X_108,X_109),X_110) != addition(multiplication(X_108,X_110),multiplication(X_109,X_110))
| addition(multiplication(X_108,X_110),multiplication(X_109,X_110)) = multiplication(addition(X_108,X_109),X_110) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(addition(X_108,X_109),X_110))),bind(Y,$fot(addition(multiplication(X_108,X_110),multiplication(X_109,X_110))))]]) ).
cnf(refute_0_109,plain,
addition(multiplication(X_108,X_110),multiplication(X_109,X_110)) = multiplication(addition(X_108,X_109),X_110),
inference(resolve,[$cnf( $equal(multiplication(addition(X_108,X_109),X_110),addition(multiplication(X_108,X_110),multiplication(X_109,X_110))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( addition(multiplication(X_108,X_110),multiplication(X_109,X_110)) != multiplication(addition(X_108,X_109),X_110)
| addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) != addition(multiplication(X_108,X_110),multiplication(X_109,X_110))
| addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) = multiplication(addition(X_108,X_109),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_109,X_110),multiplication(X_108,X_110)),addition(multiplication(X_108,X_110),multiplication(X_109,X_110))) ),[1],$fot(multiplication(addition(X_108,X_109),X_110))]]) ).
cnf(refute_0_111,plain,
( addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) != addition(multiplication(X_108,X_110),multiplication(X_109,X_110))
| addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) = multiplication(addition(X_108,X_109),X_110) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),multiplication(addition(X_108,X_109),X_110)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) = multiplication(addition(X_108,X_109),X_110),
inference(resolve,[$cnf( $equal(addition(multiplication(X_109,X_110),multiplication(X_108,X_110)),addition(multiplication(X_108,X_110),multiplication(X_109,X_110))) )],[refute_0_106,refute_0_111]) ).
cnf(refute_0_113,plain,
addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) = multiplication(addition(X_109,X_108),X_110),
inference(subst,[],[refute_0_97:[bind(A,$fot(X_109)),bind(B,$fot(X_108)),bind(C,$fot(X_110))]]) ).
cnf(refute_0_114,plain,
( addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) != multiplication(addition(X_108,X_109),X_110)
| addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) != multiplication(addition(X_109,X_108),X_110)
| multiplication(addition(X_109,X_108),X_110) = multiplication(addition(X_108,X_109),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_109,X_110),multiplication(X_108,X_110)),multiplication(addition(X_108,X_109),X_110)) ),[0],$fot(multiplication(addition(X_109,X_108),X_110))]]) ).
cnf(refute_0_115,plain,
( addition(multiplication(X_109,X_110),multiplication(X_108,X_110)) != multiplication(addition(X_108,X_109),X_110)
| multiplication(addition(X_109,X_108),X_110) = multiplication(addition(X_108,X_109),X_110) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_109,X_110),multiplication(X_108,X_110)),multiplication(addition(X_109,X_108),X_110)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiplication(addition(X_109,X_108),X_110) = multiplication(addition(X_108,X_109),X_110),
inference(resolve,[$cnf( $equal(addition(multiplication(X_109,X_110),multiplication(X_108,X_110)),multiplication(addition(X_108,X_109),X_110)) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
( multiplication(addition(X_109,X_108),X_110) != multiplication(addition(X_108,X_109),X_110)
| multiplication(addition(X_108,X_109),X_110) = multiplication(addition(X_109,X_108),X_110) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(addition(X_109,X_108),X_110))),bind(Y,$fot(multiplication(addition(X_108,X_109),X_110)))]]) ).
cnf(refute_0_118,plain,
multiplication(addition(X_108,X_109),X_110) = multiplication(addition(X_109,X_108),X_110),
inference(resolve,[$cnf( $equal(multiplication(addition(X_109,X_108),X_110),multiplication(addition(X_108,X_109),X_110)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiplication(addition(addition(B,A),B),C) = multiplication(addition(B,addition(B,A)),C),
inference(subst,[],[refute_0_118:[bind(X_108,$fot(addition(B,A))),bind(X_109,$fot(B)),bind(X_110,$fot(C))]]) ).
cnf(refute_0_120,plain,
addition(multiplication(addition(B,A),C),multiplication(B,C)) = multiplication(addition(addition(B,A),B),C),
inference(subst,[],[refute_0_97:[bind(A,$fot(addition(B,A)))]]) ).
cnf(refute_0_121,plain,
( addition(multiplication(addition(B,A),C),multiplication(B,C)) != multiplication(addition(addition(B,A),B),C)
| multiplication(addition(addition(B,A),B),C) != multiplication(addition(B,addition(B,A)),C)
| addition(multiplication(addition(B,A),C),multiplication(B,C)) = multiplication(addition(B,addition(B,A)),C) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(addition(multiplication(addition(B,A),C),multiplication(B,C)))),bind(Y,$fot(multiplication(addition(addition(B,A),B),C))),bind(Z,$fot(multiplication(addition(B,addition(B,A)),C)))]]) ).
cnf(refute_0_122,plain,
( multiplication(addition(addition(B,A),B),C) != multiplication(addition(B,addition(B,A)),C)
| addition(multiplication(addition(B,A),C),multiplication(B,C)) = multiplication(addition(B,addition(B,A)),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(B,A),C),multiplication(B,C)),multiplication(addition(addition(B,A),B),C)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
addition(multiplication(addition(B,A),C),multiplication(B,C)) = multiplication(addition(B,addition(B,A)),C),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(B,A),B),C),multiplication(addition(B,addition(B,A)),C)) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
addition(multiplication(X_108,X_110),addition(multiplication(X_109,X_110),C)) = addition(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),C),
inference(subst,[],[refute_0_40:[bind(A,$fot(multiplication(X_108,X_110))),bind(B,$fot(multiplication(X_109,X_110)))]]) ).
cnf(refute_0_125,plain,
( addition(multiplication(X_108,X_110),addition(multiplication(X_109,X_110),C)) != addition(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),C)
| addition(multiplication(X_108,X_110),multiplication(X_109,X_110)) != multiplication(addition(X_108,X_109),X_110)
| addition(multiplication(X_108,X_110),addition(multiplication(X_109,X_110),C)) = addition(multiplication(addition(X_108,X_109),X_110),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_108,X_110),addition(multiplication(X_109,X_110),C)),addition(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),C)) ),[1,0],$fot(multiplication(addition(X_108,X_109),X_110))]]) ).
cnf(refute_0_126,plain,
( addition(multiplication(X_108,X_110),addition(multiplication(X_109,X_110),C)) != addition(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),C)
| addition(multiplication(X_108,X_110),addition(multiplication(X_109,X_110),C)) = addition(multiplication(addition(X_108,X_109),X_110),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),multiplication(addition(X_108,X_109),X_110)) )],[refute_0_109,refute_0_125]) ).
cnf(refute_0_127,plain,
addition(multiplication(X_108,X_110),addition(multiplication(X_109,X_110),C)) = addition(multiplication(addition(X_108,X_109),X_110),C),
inference(resolve,[$cnf( $equal(addition(multiplication(X_108,X_110),addition(multiplication(X_109,X_110),C)),addition(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),C)) )],[refute_0_124,refute_0_126]) ).
cnf(refute_0_128,plain,
addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) = addition(multiplication(addition(B,A),C),multiplication(B,C)),
inference(subst,[],[refute_0_127:[bind(C,$fot(multiplication(B,C))),bind(X_108,$fot(B)),bind(X_109,$fot(A)),bind(X_110,$fot(C))]]) ).
cnf(refute_0_129,plain,
( addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) != addition(multiplication(addition(B,A),C),multiplication(B,C))
| addition(multiplication(addition(B,A),C),multiplication(B,C)) != multiplication(addition(B,addition(B,A)),C)
| addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) = multiplication(addition(B,addition(B,A)),C) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))))),bind(Y,$fot(addition(multiplication(addition(B,A),C),multiplication(B,C)))),bind(Z,$fot(multiplication(addition(B,addition(B,A)),C)))]]) ).
cnf(refute_0_130,plain,
( addition(multiplication(addition(B,A),C),multiplication(B,C)) != multiplication(addition(B,addition(B,A)),C)
| addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) = multiplication(addition(B,addition(B,A)),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))),addition(multiplication(addition(B,A),C),multiplication(B,C))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) = multiplication(addition(B,addition(B,A)),C),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(B,A),C),multiplication(B,C)),multiplication(addition(B,addition(B,A)),C)) )],[refute_0_123,refute_0_130]) ).
cnf(refute_0_132,plain,
( addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) != multiplication(addition(B,addition(B,A)),C)
| multiplication(addition(B,addition(B,A)),C) != multiplication(addition(B,A),C)
| addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) = multiplication(addition(B,A),C) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))))),bind(Y,$fot(multiplication(addition(B,addition(B,A)),C))),bind(Z,$fot(multiplication(addition(B,A),C)))]]) ).
cnf(refute_0_133,plain,
( multiplication(addition(B,addition(B,A)),C) != multiplication(addition(B,A),C)
| addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) = multiplication(addition(B,A),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))),multiplication(addition(B,addition(B,A)),C)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) = multiplication(addition(B,A),C),
inference(resolve,[$cnf( $equal(multiplication(addition(B,addition(B,A)),C),multiplication(addition(B,A),C)) )],[refute_0_105,refute_0_133]) ).
cnf(refute_0_135,plain,
( addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))) != multiplication(addition(B,A),C)
| multiplication(addition(A,B),C) != addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C)))
| multiplication(addition(A,B),C) = multiplication(addition(B,A),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C)))) ),[1],$fot(multiplication(addition(B,A),C))]]) ).
cnf(refute_0_136,plain,
( multiplication(addition(A,B),C) != addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C)))
| multiplication(addition(A,B),C) = multiplication(addition(B,A),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C))),multiplication(addition(B,A),C)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiplication(addition(A,B),C) = multiplication(addition(B,A),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(B,C),addition(multiplication(A,C),multiplication(B,C)))) )],[refute_0_100,refute_0_136]) ).
cnf(refute_0_138,plain,
( multiplication(addition(A,B),C) != multiplication(addition(B,A),C)
| multiplication(addition(B,A),C) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(multiplication(addition(B,A),C)))]]) ).
cnf(refute_0_139,plain,
multiplication(addition(B,A),C) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),multiplication(addition(B,A),C)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(addition(one,domain(X0)),X0),
inference(subst,[],[refute_0_139:[bind(A,$fot(one)),bind(B,$fot(domain(X0))),bind(C,$fot(X0))]]) ).
cnf(refute_0_141,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(addition(one,domain(X0)),X0)
| multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_142,plain,
( multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
multiplication(addition(domain(X0),one),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),X0) )],[refute_0_39,refute_0_142]) ).
cnf(refute_0_144,plain,
( multiplication(addition(domain(X0),one),X0) != X0
| multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_145,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),X0) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
X0 = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) )],[refute_0_24,refute_0_145]) ).
cnf(refute_0_147,plain,
multiplication(antidomain(X_942),X_942) = multiplication(domain(multiplication(antidomain(X_942),X_942)),multiplication(antidomain(X_942),X_942)),
inference(subst,[],[refute_0_146:[bind(X0,$fot(multiplication(antidomain(X_942),X_942)))]]) ).
cnf(refute_0_148,plain,
multiplication(domain(X1),antidomain(X1)) = zero,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_149,plain,
multiplication(domain(multiplication(X_13,domain(X_14))),antidomain(multiplication(X_13,domain(X_14)))) = zero,
inference(subst,[],[refute_0_148:[bind(X1,$fot(multiplication(X_13,domain(X_14))))]]) ).
cnf(refute_0_150,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_151,plain,
domain(multiplication(X_13,X_14)) = domain(multiplication(X_13,domain(X_14))),
inference(subst,[],[refute_0_150:[bind(X0,$fot(X_13)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_152,plain,
( domain(multiplication(X_13,X_14)) != domain(multiplication(X_13,domain(X_14)))
| domain(multiplication(X_13,domain(X_14))) = domain(multiplication(X_13,X_14)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(domain(multiplication(X_13,X_14)))),bind(Y,$fot(domain(multiplication(X_13,domain(X_14)))))]]) ).
cnf(refute_0_153,plain,
domain(multiplication(X_13,domain(X_14))) = domain(multiplication(X_13,X_14)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_13,X_14)),domain(multiplication(X_13,domain(X_14)))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( domain(multiplication(X_13,domain(X_14))) != domain(multiplication(X_13,X_14))
| multiplication(domain(multiplication(X_13,domain(X_14))),antidomain(multiplication(X_13,domain(X_14)))) != zero
| multiplication(domain(multiplication(X_13,X_14)),antidomain(multiplication(X_13,domain(X_14)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_13,domain(X_14))),antidomain(multiplication(X_13,domain(X_14)))),zero) ),[0,0],$fot(domain(multiplication(X_13,X_14)))]]) ).
cnf(refute_0_155,plain,
( multiplication(domain(multiplication(X_13,domain(X_14))),antidomain(multiplication(X_13,domain(X_14)))) != zero
| multiplication(domain(multiplication(X_13,X_14)),antidomain(multiplication(X_13,domain(X_14)))) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_13,domain(X_14))),domain(multiplication(X_13,X_14))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiplication(domain(multiplication(X_13,X_14)),antidomain(multiplication(X_13,domain(X_14)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_13,domain(X_14))),antidomain(multiplication(X_13,domain(X_14)))),zero) )],[refute_0_149,refute_0_155]) ).
cnf(refute_0_157,plain,
multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(multiplication(X_34,X_35),domain(X_14)))) = zero,
inference(subst,[],[refute_0_156:[bind(X_13,$fot(multiplication(X_34,X_35)))]]) ).
cnf(refute_0_158,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_159,plain,
multiplication(X_34,multiplication(X_35,domain(X_14))) = multiplication(multiplication(X_34,X_35),domain(X_14)),
inference(subst,[],[refute_0_158:[bind(A,$fot(X_34)),bind(B,$fot(X_35)),bind(C,$fot(domain(X_14)))]]) ).
cnf(refute_0_160,plain,
( multiplication(X_34,multiplication(X_35,domain(X_14))) != multiplication(multiplication(X_34,X_35),domain(X_14))
| multiplication(multiplication(X_34,X_35),domain(X_14)) = multiplication(X_34,multiplication(X_35,domain(X_14))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(X_34,multiplication(X_35,domain(X_14))))),bind(Y,$fot(multiplication(multiplication(X_34,X_35),domain(X_14))))]]) ).
cnf(refute_0_161,plain,
multiplication(multiplication(X_34,X_35),domain(X_14)) = multiplication(X_34,multiplication(X_35,domain(X_14))),
inference(resolve,[$cnf( $equal(multiplication(X_34,multiplication(X_35,domain(X_14))),multiplication(multiplication(X_34,X_35),domain(X_14))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
( multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(multiplication(X_34,X_35),domain(X_14)))) != zero
| multiplication(multiplication(X_34,X_35),domain(X_14)) != multiplication(X_34,multiplication(X_35,domain(X_14)))
| multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(multiplication(X_34,X_35),domain(X_14)))),zero) ),[0,1,0],$fot(multiplication(X_34,multiplication(X_35,domain(X_14))))]]) ).
cnf(refute_0_163,plain,
( multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(multiplication(X_34,X_35),domain(X_14)))) != zero
| multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_34,X_35),domain(X_14)),multiplication(X_34,multiplication(X_35,domain(X_14)))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(multiplication(X_34,X_35),domain(X_14)))),zero) )],[refute_0_157,refute_0_163]) ).
cnf(refute_0_165,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_166,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_158,refute_0_165]) ).
cnf(refute_0_167,plain,
multiplication(multiplication(X_34,X_35),X_14) = multiplication(X_34,multiplication(X_35,X_14)),
inference(subst,[],[refute_0_166:[bind(A,$fot(X_34)),bind(B,$fot(X_35)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_168,plain,
domain(multiplication(multiplication(X_34,X_35),X_14)) = domain(multiplication(multiplication(X_34,X_35),X_14)),
introduced(tautology,[refl,[$fot(domain(multiplication(multiplication(X_34,X_35),X_14)))]]) ).
cnf(refute_0_169,plain,
( domain(multiplication(multiplication(X_34,X_35),X_14)) != domain(multiplication(multiplication(X_34,X_35),X_14))
| multiplication(multiplication(X_34,X_35),X_14) != multiplication(X_34,multiplication(X_35,X_14))
| domain(multiplication(multiplication(X_34,X_35),X_14)) = domain(multiplication(X_34,multiplication(X_35,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(multiplication(X_34,X_35),X_14)),domain(multiplication(multiplication(X_34,X_35),X_14))) ),[1,0],$fot(multiplication(X_34,multiplication(X_35,X_14)))]]) ).
cnf(refute_0_170,plain,
( multiplication(multiplication(X_34,X_35),X_14) != multiplication(X_34,multiplication(X_35,X_14))
| domain(multiplication(multiplication(X_34,X_35),X_14)) = domain(multiplication(X_34,multiplication(X_35,X_14))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(multiplication(X_34,X_35),X_14)),domain(multiplication(multiplication(X_34,X_35),X_14))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
domain(multiplication(multiplication(X_34,X_35),X_14)) = domain(multiplication(X_34,multiplication(X_35,X_14))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_34,X_35),X_14),multiplication(X_34,multiplication(X_35,X_14))) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))),
introduced(tautology,[refl,[$fot(multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))))]]) ).
cnf(refute_0_173,plain,
( domain(multiplication(multiplication(X_34,X_35),X_14)) != domain(multiplication(X_34,multiplication(X_35,X_14)))
| multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) != multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14)))))
| multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))),multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14)))))) ),[1,0],$fot(domain(multiplication(X_34,multiplication(X_35,X_14))))]]) ).
cnf(refute_0_174,plain,
( domain(multiplication(multiplication(X_34,X_35),X_14)) != domain(multiplication(X_34,multiplication(X_35,X_14)))
| multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))),multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14)))))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))),
inference(resolve,[$cnf( $equal(domain(multiplication(multiplication(X_34,X_35),X_14)),domain(multiplication(X_34,multiplication(X_35,X_14)))) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
( multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) != multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14)))))
| multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) != zero
| multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))),zero) ),[0],$fot(multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))))]]) ).
cnf(refute_0_177,plain,
( multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) != zero
| multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))),multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14)))))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiplication(domain(multiplication(X_34,multiplication(X_35,X_14))),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(multiplication(X_34,X_35),X_14)),antidomain(multiplication(X_34,multiplication(X_35,domain(X_14))))),zero) )],[refute_0_164,refute_0_177]) ).
cnf(refute_0_179,plain,
multiplication(domain(multiplication(X_163,multiplication(X_164,addition(one,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) = zero,
inference(subst,[],[refute_0_178:[bind(X_14,$fot(addition(one,X_91))),bind(X_34,$fot(X_163)),bind(X_35,$fot(X_164))]]) ).
cnf(refute_0_180,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_181,plain,
multiplication(X_89,addition(one,X_91)) = addition(multiplication(X_89,one),multiplication(X_89,X_91)),
inference(subst,[],[refute_0_180:[bind(A,$fot(X_89)),bind(B,$fot(one)),bind(C,$fot(X_91))]]) ).
cnf(refute_0_182,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_183,plain,
multiplication(X_89,one) = X_89,
inference(subst,[],[refute_0_182:[bind(A,$fot(X_89))]]) ).
cnf(refute_0_184,plain,
( multiplication(X_89,addition(one,X_91)) != addition(multiplication(X_89,one),multiplication(X_89,X_91))
| multiplication(X_89,one) != X_89
| multiplication(X_89,addition(one,X_91)) = addition(X_89,multiplication(X_89,X_91)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_89,addition(one,X_91)),addition(multiplication(X_89,one),multiplication(X_89,X_91))) ),[1,0],$fot(X_89)]]) ).
cnf(refute_0_185,plain,
( multiplication(X_89,addition(one,X_91)) != addition(multiplication(X_89,one),multiplication(X_89,X_91))
| multiplication(X_89,addition(one,X_91)) = addition(X_89,multiplication(X_89,X_91)) ),
inference(resolve,[$cnf( $equal(multiplication(X_89,one),X_89) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiplication(X_89,addition(one,X_91)) = addition(X_89,multiplication(X_89,X_91)),
inference(resolve,[$cnf( $equal(multiplication(X_89,addition(one,X_91)),addition(multiplication(X_89,one),multiplication(X_89,X_91))) )],[refute_0_181,refute_0_185]) ).
cnf(refute_0_187,plain,
multiplication(X_164,addition(one,X_91)) = addition(X_164,multiplication(X_164,X_91)),
inference(subst,[],[refute_0_186:[bind(X_89,$fot(X_164))]]) ).
cnf(refute_0_188,plain,
( multiplication(X_164,addition(one,X_91)) != addition(X_164,multiplication(X_164,X_91))
| multiplication(domain(multiplication(X_163,multiplication(X_164,addition(one,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) != zero
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_163,multiplication(X_164,addition(one,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))),zero) ),[0,0,0,1],$fot(addition(X_164,multiplication(X_164,X_91)))]]) ).
cnf(refute_0_189,plain,
( multiplication(domain(multiplication(X_163,multiplication(X_164,addition(one,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) != zero
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(X_164,addition(one,X_91)),addition(X_164,multiplication(X_164,X_91))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_163,multiplication(X_164,addition(one,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))),zero) )],[refute_0_179,refute_0_189]) ).
cnf(refute_0_191,plain,
multiplication(X_164,one) = X_164,
inference(subst,[],[refute_0_182:[bind(A,$fot(X_164))]]) ).
cnf(refute_0_192,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_193,plain,
domain(addition(one,X_25)) = addition(domain(one),domain(X_25)),
inference(subst,[],[refute_0_192:[bind(X0,$fot(one)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_194,plain,
addition(one,multiplication(domain(one),one)) = multiplication(domain(one),one),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one))]]) ).
cnf(refute_0_195,plain,
multiplication(domain(one),one) = domain(one),
inference(subst,[],[refute_0_182:[bind(A,$fot(domain(one)))]]) ).
cnf(refute_0_196,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| multiplication(domain(one),one) != domain(one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) ),[0,1],$fot(domain(one))]]) ).
cnf(refute_0_197,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(resolve,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
addition(one,domain(one)) = one,
inference(subst,[],[refute_0_30:[bind(X0,$fot(one))]]) ).
cnf(refute_0_200,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| addition(one,domain(one)) != one
| one = multiplication(domain(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) ),[0],$fot(one)]]) ).
cnf(refute_0_201,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),one) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( multiplication(domain(one),one) != domain(one)
| one != multiplication(domain(one),one)
| one = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(one,multiplication(domain(one),one)) ),[1],$fot(domain(one))]]) ).
cnf(refute_0_203,plain,
( one != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_195,refute_0_202]) ).
cnf(refute_0_204,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(one,multiplication(domain(one),one)) )],[refute_0_201,refute_0_203]) ).
cnf(refute_0_205,plain,
one = domain(one),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) )],[refute_0_198,refute_0_204]) ).
cnf(refute_0_206,plain,
( one != domain(one)
| domain(one) = one ),
inference(subst,[],[refute_0_12:[bind(X,$fot(one)),bind(Y,$fot(domain(one)))]]) ).
cnf(refute_0_207,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(one,domain(one)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
( domain(addition(one,X_25)) != addition(domain(one),domain(X_25))
| domain(one) != one
| domain(addition(one,X_25)) = addition(one,domain(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_25)),addition(domain(one),domain(X_25))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_209,plain,
( domain(addition(one,X_25)) != addition(domain(one),domain(X_25))
| domain(addition(one,X_25)) = addition(one,domain(X_25)) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
domain(addition(one,X_25)) = addition(one,domain(X_25)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_25)),addition(domain(one),domain(X_25))) )],[refute_0_193,refute_0_209]) ).
cnf(refute_0_211,plain,
addition(one,domain(X_25)) = one,
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_25))]]) ).
cnf(refute_0_212,plain,
( addition(one,domain(X_25)) != one
| domain(addition(one,X_25)) != addition(one,domain(X_25))
| domain(addition(one,X_25)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_25)),addition(one,domain(X_25))) ),[1],$fot(one)]]) ).
cnf(refute_0_213,plain,
( domain(addition(one,X_25)) != addition(one,domain(X_25))
| domain(addition(one,X_25)) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_25)),one) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
domain(addition(one,X_25)) = one,
inference(resolve,[$cnf( $equal(domain(addition(one,X_25)),addition(one,domain(X_25))) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
domain(addition(one,X_91)) = one,
inference(subst,[],[refute_0_214:[bind(X_25,$fot(X_91))]]) ).
cnf(refute_0_216,plain,
multiplication(X_164,domain(addition(one,X_91))) = multiplication(X_164,domain(addition(one,X_91))),
introduced(tautology,[refl,[$fot(multiplication(X_164,domain(addition(one,X_91))))]]) ).
cnf(refute_0_217,plain,
( domain(addition(one,X_91)) != one
| multiplication(X_164,domain(addition(one,X_91))) != multiplication(X_164,domain(addition(one,X_91)))
| multiplication(X_164,domain(addition(one,X_91))) = multiplication(X_164,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_164,domain(addition(one,X_91))),multiplication(X_164,domain(addition(one,X_91)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_218,plain,
( domain(addition(one,X_91)) != one
| multiplication(X_164,domain(addition(one,X_91))) = multiplication(X_164,one) ),
inference(resolve,[$cnf( $equal(multiplication(X_164,domain(addition(one,X_91))),multiplication(X_164,domain(addition(one,X_91)))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
multiplication(X_164,domain(addition(one,X_91))) = multiplication(X_164,one),
inference(resolve,[$cnf( $equal(domain(addition(one,X_91)),one) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
( multiplication(X_164,domain(addition(one,X_91))) != multiplication(X_164,one)
| multiplication(X_164,one) != X_164
| multiplication(X_164,domain(addition(one,X_91))) = X_164 ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiplication(X_164,domain(addition(one,X_91))))),bind(Y,$fot(multiplication(X_164,one))),bind(Z,$fot(X_164))]]) ).
cnf(refute_0_221,plain,
( multiplication(X_164,one) != X_164
| multiplication(X_164,domain(addition(one,X_91))) = X_164 ),
inference(resolve,[$cnf( $equal(multiplication(X_164,domain(addition(one,X_91))),multiplication(X_164,one)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
multiplication(X_164,domain(addition(one,X_91))) = X_164,
inference(resolve,[$cnf( $equal(multiplication(X_164,one),X_164) )],[refute_0_191,refute_0_221]) ).
cnf(refute_0_223,plain,
multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))) = multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))),
introduced(tautology,[refl,[$fot(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))]]) ).
cnf(refute_0_224,plain,
( multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))) != multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))
| multiplication(X_164,domain(addition(one,X_91))) != X_164
| multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))) = multiplication(X_163,X_164) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))),multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) ),[1,1],$fot(X_164)]]) ).
cnf(refute_0_225,plain,
( multiplication(X_164,domain(addition(one,X_91))) != X_164
| multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))) = multiplication(X_163,X_164) ),
inference(resolve,[$cnf( $equal(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))),multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))) = multiplication(X_163,X_164),
inference(resolve,[$cnf( $equal(multiplication(X_164,domain(addition(one,X_91))),X_164) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) = antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))))]]) ).
cnf(refute_0_228,plain,
( antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) != antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))
| multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))) != multiplication(X_163,X_164)
| antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) = antidomain(multiplication(X_163,X_164)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) ),[1,0],$fot(multiplication(X_163,X_164))]]) ).
cnf(refute_0_229,plain,
( multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))) != multiplication(X_163,X_164)
| antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) = antidomain(multiplication(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) = antidomain(multiplication(X_163,X_164)),
inference(resolve,[$cnf( $equal(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))),multiplication(X_163,X_164)) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) = multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))),
introduced(tautology,[refl,[$fot(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))))]]) ).
cnf(refute_0_232,plain,
( antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) != antidomain(multiplication(X_163,X_164))
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) != multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))))
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) = multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))),multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))))) ),[1,1],$fot(antidomain(multiplication(X_163,X_164)))]]) ).
cnf(refute_0_233,plain,
( antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))) != antidomain(multiplication(X_163,X_164))
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) = multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))),multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) = multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91))))),antidomain(multiplication(X_163,X_164))) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
( multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) != multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164)))
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) != zero
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))),zero) ),[0],$fot(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))))]]) ).
cnf(refute_0_236,plain,
( multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))) != zero
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))),multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164)))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,multiplication(X_164,domain(addition(one,X_91)))))),zero) )],[refute_0_190,refute_0_236]) ).
cnf(refute_0_238,plain,
multiplication(addition(domain(X1),X_109),antidomain(X1)) = addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_109,antidomain(X1))),
inference(subst,[],[refute_0_2:[bind(A,$fot(domain(X1))),bind(B,$fot(X_109)),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_239,plain,
( multiplication(addition(domain(X1),X_109),antidomain(X1)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_109,antidomain(X1)))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(addition(domain(X1),X_109),antidomain(X1)) = addition(zero,multiplication(X_109,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X1),X_109),antidomain(X1)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_109,antidomain(X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_240,plain,
( multiplication(addition(domain(X1),X_109),antidomain(X1)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_109,antidomain(X1)))
| multiplication(addition(domain(X1),X_109),antidomain(X1)) = addition(zero,multiplication(X_109,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_148,refute_0_239]) ).
cnf(refute_0_241,plain,
multiplication(addition(domain(X1),X_109),antidomain(X1)) = addition(zero,multiplication(X_109,antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X1),X_109),antidomain(X1)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_109,antidomain(X1)))) )],[refute_0_238,refute_0_240]) ).
cnf(refute_0_242,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_243,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_9:[bind(B,$fot(zero))]]) ).
cnf(refute_0_244,plain,
( addition(A,zero) != A
| addition(A,zero) != addition(zero,A)
| addition(zero,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,zero),A) ),[0],$fot(addition(zero,A))]]) ).
cnf(refute_0_245,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
addition(zero,multiplication(X_109,antidomain(X1))) = multiplication(X_109,antidomain(X1)),
inference(subst,[],[refute_0_246:[bind(A,$fot(multiplication(X_109,antidomain(X1))))]]) ).
cnf(refute_0_248,plain,
( addition(zero,multiplication(X_109,antidomain(X1))) != multiplication(X_109,antidomain(X1))
| multiplication(addition(domain(X1),X_109),antidomain(X1)) != addition(zero,multiplication(X_109,antidomain(X1)))
| multiplication(addition(domain(X1),X_109),antidomain(X1)) = multiplication(X_109,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X1),X_109),antidomain(X1)),addition(zero,multiplication(X_109,antidomain(X1)))) ),[1],$fot(multiplication(X_109,antidomain(X1)))]]) ).
cnf(refute_0_249,plain,
( multiplication(addition(domain(X1),X_109),antidomain(X1)) != addition(zero,multiplication(X_109,antidomain(X1)))
| multiplication(addition(domain(X1),X_109),antidomain(X1)) = multiplication(X_109,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_109,antidomain(X1))),multiplication(X_109,antidomain(X1))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiplication(addition(domain(X1),X_109),antidomain(X1)) = multiplication(X_109,antidomain(X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X1),X_109),antidomain(X1)),addition(zero,multiplication(X_109,antidomain(X1)))) )],[refute_0_241,refute_0_249]) ).
cnf(refute_0_251,plain,
multiplication(addition(domain(X_347),domain(X1)),antidomain(X_347)) = multiplication(domain(X1),antidomain(X_347)),
inference(subst,[],[refute_0_250:[bind(X1,$fot(X_347)),bind(X_109,$fot(domain(X1)))]]) ).
cnf(refute_0_252,plain,
domain(addition(X_347,X1)) = addition(domain(X_347),domain(X1)),
inference(subst,[],[refute_0_192:[bind(X0,$fot(X_347))]]) ).
cnf(refute_0_253,plain,
( domain(addition(X_347,X1)) != addition(domain(X_347),domain(X1))
| addition(domain(X_347),domain(X1)) = domain(addition(X_347,X1)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(domain(addition(X_347,X1)))),bind(Y,$fot(addition(domain(X_347),domain(X1))))]]) ).
cnf(refute_0_254,plain,
addition(domain(X_347),domain(X1)) = domain(addition(X_347,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_347,X1)),addition(domain(X_347),domain(X1))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( addition(domain(X_347),domain(X1)) != domain(addition(X_347,X1))
| multiplication(addition(domain(X_347),domain(X1)),antidomain(X_347)) != multiplication(domain(X1),antidomain(X_347))
| multiplication(domain(addition(X_347,X1)),antidomain(X_347)) = multiplication(domain(X1),antidomain(X_347)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_347),domain(X1)),antidomain(X_347)),multiplication(domain(X1),antidomain(X_347))) ),[0,0],$fot(domain(addition(X_347,X1)))]]) ).
cnf(refute_0_256,plain,
( multiplication(addition(domain(X_347),domain(X1)),antidomain(X_347)) != multiplication(domain(X1),antidomain(X_347))
| multiplication(domain(addition(X_347,X1)),antidomain(X_347)) = multiplication(domain(X1),antidomain(X_347)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_347),domain(X1)),domain(addition(X_347,X1))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiplication(domain(addition(X_347,X1)),antidomain(X_347)) = multiplication(domain(X1),antidomain(X_347)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_347),domain(X1)),antidomain(X_347)),multiplication(domain(X1),antidomain(X_347))) )],[refute_0_251,refute_0_256]) ).
cnf(refute_0_258,plain,
multiplication(domain(addition(multiplication(A,B),multiplication(A,C))),antidomain(multiplication(A,B))) = multiplication(domain(multiplication(A,C)),antidomain(multiplication(A,B))),
inference(subst,[],[refute_0_257:[bind(X1,$fot(multiplication(A,C))),bind(X_347,$fot(multiplication(A,B)))]]) ).
cnf(refute_0_259,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_260,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[refute_0_180,refute_0_259]) ).
cnf(refute_0_261,plain,
( addition(multiplication(A,B),multiplication(A,C)) != multiplication(A,addition(B,C))
| multiplication(domain(addition(multiplication(A,B),multiplication(A,C))),antidomain(multiplication(A,B))) != multiplication(domain(multiplication(A,C)),antidomain(multiplication(A,B)))
| multiplication(domain(multiplication(A,addition(B,C))),antidomain(multiplication(A,B))) = multiplication(domain(multiplication(A,C)),antidomain(multiplication(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(multiplication(A,B),multiplication(A,C))),antidomain(multiplication(A,B))),multiplication(domain(multiplication(A,C)),antidomain(multiplication(A,B)))) ),[0,0,0],$fot(multiplication(A,addition(B,C)))]]) ).
cnf(refute_0_262,plain,
( multiplication(domain(addition(multiplication(A,B),multiplication(A,C))),antidomain(multiplication(A,B))) != multiplication(domain(multiplication(A,C)),antidomain(multiplication(A,B)))
| multiplication(domain(multiplication(A,addition(B,C))),antidomain(multiplication(A,B))) = multiplication(domain(multiplication(A,C)),antidomain(multiplication(A,B))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,C)),multiplication(A,addition(B,C))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiplication(domain(multiplication(A,addition(B,C))),antidomain(multiplication(A,B))) = multiplication(domain(multiplication(A,C)),antidomain(multiplication(A,B))),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(multiplication(A,B),multiplication(A,C))),antidomain(multiplication(A,B))),multiplication(domain(multiplication(A,C)),antidomain(multiplication(A,B)))) )],[refute_0_258,refute_0_262]) ).
cnf(refute_0_264,plain,
multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) = multiplication(domain(multiplication(X_163,multiplication(X_164,X_91))),antidomain(multiplication(X_163,X_164))),
inference(subst,[],[refute_0_263:[bind(A,$fot(X_163)),bind(B,$fot(X_164)),bind(C,$fot(multiplication(X_164,X_91)))]]) ).
cnf(refute_0_265,plain,
( multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) != multiplication(domain(multiplication(X_163,multiplication(X_164,X_91))),antidomain(multiplication(X_163,X_164)))
| multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) != zero
| multiplication(domain(multiplication(X_163,multiplication(X_164,X_91))),antidomain(multiplication(X_163,X_164))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))),zero) ),[0],$fot(multiplication(domain(multiplication(X_163,multiplication(X_164,X_91))),antidomain(multiplication(X_163,X_164))))]]) ).
cnf(refute_0_266,plain,
( multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))) != zero
| multiplication(domain(multiplication(X_163,multiplication(X_164,X_91))),antidomain(multiplication(X_163,X_164))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))),multiplication(domain(multiplication(X_163,multiplication(X_164,X_91))),antidomain(multiplication(X_163,X_164)))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
multiplication(domain(multiplication(X_163,multiplication(X_164,X_91))),antidomain(multiplication(X_163,X_164))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_163,addition(X_164,multiplication(X_164,X_91)))),antidomain(multiplication(X_163,X_164))),zero) )],[refute_0_237,refute_0_266]) ).
cnf(refute_0_268,plain,
multiplication(domain(multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862))),antidomain(multiplication(domain(multiplication(X_861,X_862)),X_861))) = zero,
inference(subst,[],[refute_0_267:[bind(X_163,$fot(domain(multiplication(X_861,X_862)))),bind(X_164,$fot(X_861)),bind(X_91,$fot(X_862))]]) ).
cnf(refute_0_269,plain,
multiplication(X_861,X_862) = multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862)),
inference(subst,[],[refute_0_146:[bind(X0,$fot(multiplication(X_861,X_862)))]]) ).
cnf(refute_0_270,plain,
( multiplication(X_861,X_862) != multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862))
| multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862)) = multiplication(X_861,X_862) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiplication(X_861,X_862))),bind(Y,$fot(multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862))))]]) ).
cnf(refute_0_271,plain,
multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862)) = multiplication(X_861,X_862),
inference(resolve,[$cnf( $equal(multiplication(X_861,X_862),multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
( multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862)) != multiplication(X_861,X_862)
| multiplication(domain(multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862))),antidomain(multiplication(domain(multiplication(X_861,X_862)),X_861))) != zero
| multiplication(domain(multiplication(X_861,X_862)),antidomain(multiplication(domain(multiplication(X_861,X_862)),X_861))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862))),antidomain(multiplication(domain(multiplication(X_861,X_862)),X_861))),zero) ),[0,0,0],$fot(multiplication(X_861,X_862))]]) ).
cnf(refute_0_273,plain,
( multiplication(domain(multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862))),antidomain(multiplication(domain(multiplication(X_861,X_862)),X_861))) != zero
| multiplication(domain(multiplication(X_861,X_862)),antidomain(multiplication(domain(multiplication(X_861,X_862)),X_861))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862)),multiplication(X_861,X_862)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiplication(domain(multiplication(X_861,X_862)),antidomain(multiplication(domain(multiplication(X_861,X_862)),X_861))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(multiplication(X_861,X_862)),multiplication(X_861,X_862))),antidomain(multiplication(domain(multiplication(X_861,X_862)),X_861))),zero) )],[refute_0_268,refute_0_273]) ).
cnf(refute_0_275,plain,
multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(X_941)))) = zero,
inference(subst,[],[refute_0_274:[bind(X_861,$fot(antidomain(X_941))),bind(X_862,$fot(X_941))]]) ).
cnf(refute_0_276,plain,
multiplication(domain(X1),multiplication(antidomain(X1),X_36)) = multiplication(multiplication(domain(X1),antidomain(X1)),X_36),
inference(subst,[],[refute_0_158:[bind(A,$fot(domain(X1))),bind(B,$fot(antidomain(X1))),bind(C,$fot(X_36))]]) ).
cnf(refute_0_277,plain,
( multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(domain(X1),multiplication(antidomain(X1),X_36)) != multiplication(multiplication(domain(X1),antidomain(X1)),X_36)
| multiplication(domain(X1),multiplication(antidomain(X1),X_36)) = multiplication(zero,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),multiplication(antidomain(X1),X_36)),multiplication(multiplication(domain(X1),antidomain(X1)),X_36)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_278,plain,
( multiplication(domain(X1),multiplication(antidomain(X1),X_36)) != multiplication(multiplication(domain(X1),antidomain(X1)),X_36)
| multiplication(domain(X1),multiplication(antidomain(X1),X_36)) = multiplication(zero,X_36) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_148,refute_0_277]) ).
cnf(refute_0_279,plain,
multiplication(domain(X1),multiplication(antidomain(X1),X_36)) = multiplication(zero,X_36),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),multiplication(antidomain(X1),X_36)),multiplication(multiplication(domain(X1),antidomain(X1)),X_36)) )],[refute_0_276,refute_0_278]) ).
cnf(refute_0_280,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_281,plain,
multiplication(zero,X_36) = zero,
inference(subst,[],[refute_0_280:[bind(A,$fot(X_36))]]) ).
cnf(refute_0_282,plain,
( multiplication(domain(X1),multiplication(antidomain(X1),X_36)) != multiplication(zero,X_36)
| multiplication(zero,X_36) != zero
| multiplication(domain(X1),multiplication(antidomain(X1),X_36)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(domain(X1),multiplication(antidomain(X1),X_36)),zero) ),[0],$fot(multiplication(zero,X_36))]]) ).
cnf(refute_0_283,plain,
( multiplication(domain(X1),multiplication(antidomain(X1),X_36)) != multiplication(zero,X_36)
| multiplication(domain(X1),multiplication(antidomain(X1),X_36)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,X_36),zero) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
multiplication(domain(X1),multiplication(antidomain(X1),X_36)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(X1),multiplication(antidomain(X1),X_36)),multiplication(zero,X_36)) )],[refute_0_279,refute_0_283]) ).
cnf(refute_0_285,plain,
multiplication(domain(multiplication(antidomain(X_937),X_936)),multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936))) = zero,
inference(subst,[],[refute_0_284:[bind(X1,$fot(multiplication(antidomain(X_937),X_936))),bind(X_36,$fot(antidomain(X_936)))]]) ).
cnf(refute_0_286,plain,
multiplication(addition(domain(X_347),antidomain(multiplication(antidomain(X_50),X_347))),antidomain(X_347)) = multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347)),
inference(subst,[],[refute_0_250:[bind(X1,$fot(X_347)),bind(X_109,$fot(antidomain(multiplication(antidomain(X_50),X_347))))]]) ).
cnf(refute_0_287,plain,
addition(antidomain(X1),addition(domain(X1),X_49)) = addition(addition(antidomain(X1),domain(X1)),X_49),
inference(subst,[],[refute_0_40:[bind(A,$fot(antidomain(X1))),bind(B,$fot(domain(X1))),bind(C,$fot(X_49))]]) ).
cnf(refute_0_288,plain,
addition(domain(X1),antidomain(X1)) = one,
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_289,plain,
addition(domain(X1),antidomain(X1)) = addition(antidomain(X1),domain(X1)),
inference(subst,[],[refute_0_14:[bind(A,$fot(antidomain(X1))),bind(B,$fot(domain(X1)))]]) ).
cnf(refute_0_290,plain,
( addition(domain(X1),antidomain(X1)) != addition(antidomain(X1),domain(X1))
| addition(domain(X1),antidomain(X1)) != one
| addition(antidomain(X1),domain(X1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X1),antidomain(X1)),one) ),[0],$fot(addition(antidomain(X1),domain(X1)))]]) ).
cnf(refute_0_291,plain,
( addition(domain(X1),antidomain(X1)) != one
| addition(antidomain(X1),domain(X1)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X1),antidomain(X1)),addition(antidomain(X1),domain(X1))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
addition(antidomain(X1),domain(X1)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X1),antidomain(X1)),one) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
( addition(antidomain(X1),addition(domain(X1),X_49)) != addition(addition(antidomain(X1),domain(X1)),X_49)
| addition(antidomain(X1),domain(X1)) != one
| addition(antidomain(X1),addition(domain(X1),X_49)) = addition(one,X_49) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X1),addition(domain(X1),X_49)),addition(addition(antidomain(X1),domain(X1)),X_49)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_294,plain,
( addition(antidomain(X1),addition(domain(X1),X_49)) != addition(addition(antidomain(X1),domain(X1)),X_49)
| addition(antidomain(X1),addition(domain(X1),X_49)) = addition(one,X_49) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
addition(antidomain(X1),addition(domain(X1),X_49)) = addition(one,X_49),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),addition(domain(X1),X_49)),addition(addition(antidomain(X1),domain(X1)),X_49)) )],[refute_0_287,refute_0_294]) ).
cnf(refute_0_296,plain,
addition(antidomain(X_50),addition(domain(X_50),domain(X1))) = addition(one,domain(X1)),
inference(subst,[],[refute_0_295:[bind(X1,$fot(X_50)),bind(X_49,$fot(domain(X1)))]]) ).
cnf(refute_0_297,plain,
domain(addition(X_50,X1)) = addition(domain(X_50),domain(X1)),
inference(subst,[],[refute_0_192:[bind(X0,$fot(X_50))]]) ).
cnf(refute_0_298,plain,
( domain(addition(X_50,X1)) != addition(domain(X_50),domain(X1))
| addition(domain(X_50),domain(X1)) = domain(addition(X_50,X1)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(domain(addition(X_50,X1)))),bind(Y,$fot(addition(domain(X_50),domain(X1))))]]) ).
cnf(refute_0_299,plain,
addition(domain(X_50),domain(X1)) = domain(addition(X_50,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_50,X1)),addition(domain(X_50),domain(X1))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
( addition(antidomain(X_50),addition(domain(X_50),domain(X1))) != addition(one,domain(X1))
| addition(domain(X_50),domain(X1)) != domain(addition(X_50,X1))
| addition(antidomain(X_50),domain(addition(X_50,X1))) = addition(one,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_50),addition(domain(X_50),domain(X1))),addition(one,domain(X1))) ),[0,1],$fot(domain(addition(X_50,X1)))]]) ).
cnf(refute_0_301,plain,
( addition(antidomain(X_50),addition(domain(X_50),domain(X1))) != addition(one,domain(X1))
| addition(antidomain(X_50),domain(addition(X_50,X1))) = addition(one,domain(X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_50),domain(X1)),domain(addition(X_50,X1))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
addition(antidomain(X_50),domain(addition(X_50,X1))) = addition(one,domain(X1)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_50),addition(domain(X_50),domain(X1))),addition(one,domain(X1))) )],[refute_0_296,refute_0_301]) ).
cnf(refute_0_303,plain,
addition(one,domain(X1)) = one,
inference(subst,[],[refute_0_30:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_304,plain,
( addition(antidomain(X_50),domain(addition(X_50,X1))) != addition(one,domain(X1))
| addition(one,domain(X1)) != one
| addition(antidomain(X_50),domain(addition(X_50,X1))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_50),domain(addition(X_50,X1))),one) ),[0],$fot(addition(one,domain(X1)))]]) ).
cnf(refute_0_305,plain,
( addition(antidomain(X_50),domain(addition(X_50,X1))) != addition(one,domain(X1))
| addition(antidomain(X_50),domain(addition(X_50,X1))) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X1)),one) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
addition(antidomain(X_50),domain(addition(X_50,X1))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_50),domain(addition(X_50,X1))),addition(one,domain(X1))) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
addition(antidomain(multiplication(X_108,X_110)),domain(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)))) = one,
inference(subst,[],[refute_0_306:[bind(X1,$fot(multiplication(X_109,X_110))),bind(X_50,$fot(multiplication(X_108,X_110)))]]) ).
cnf(refute_0_308,plain,
( addition(antidomain(multiplication(X_108,X_110)),domain(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)))) != one
| addition(multiplication(X_108,X_110),multiplication(X_109,X_110)) != multiplication(addition(X_108,X_109),X_110)
| addition(antidomain(multiplication(X_108,X_110)),domain(multiplication(addition(X_108,X_109),X_110))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_108,X_110)),domain(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)))),one) ),[0,1,0],$fot(multiplication(addition(X_108,X_109),X_110))]]) ).
cnf(refute_0_309,plain,
( addition(antidomain(multiplication(X_108,X_110)),domain(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)))) != one
| addition(antidomain(multiplication(X_108,X_110)),domain(multiplication(addition(X_108,X_109),X_110))) = one ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)),multiplication(addition(X_108,X_109),X_110)) )],[refute_0_109,refute_0_308]) ).
cnf(refute_0_310,plain,
addition(antidomain(multiplication(X_108,X_110)),domain(multiplication(addition(X_108,X_109),X_110))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_108,X_110)),domain(addition(multiplication(X_108,X_110),multiplication(X_109,X_110)))),one) )],[refute_0_307,refute_0_309]) ).
cnf(refute_0_311,plain,
addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(addition(antidomain(X_50),domain(addition(X_50,X1))),X_298))) = one,
inference(subst,[],[refute_0_310:[bind(X_108,$fot(antidomain(X_50))),bind(X_109,$fot(domain(addition(X_50,X1)))),bind(X_110,$fot(X_298))]]) ).
cnf(refute_0_312,plain,
( addition(antidomain(X_50),domain(addition(X_50,X1))) != one
| addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(addition(antidomain(X_50),domain(addition(X_50,X1))),X_298))) != one
| addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(addition(antidomain(X_50),domain(addition(X_50,X1))),X_298))),one) ),[0,1,0,0],$fot(one)]]) ).
cnf(refute_0_313,plain,
( addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(addition(antidomain(X_50),domain(addition(X_50,X1))),X_298))) != one
| addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_50),domain(addition(X_50,X1))),one) )],[refute_0_306,refute_0_312]) ).
cnf(refute_0_314,plain,
addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(addition(antidomain(X_50),domain(addition(X_50,X1))),X_298))),one) )],[refute_0_311,refute_0_313]) ).
cnf(refute_0_315,plain,
multiplication(one,X_298) = X_298,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_298))]]) ).
cnf(refute_0_316,plain,
domain(multiplication(one,X_298)) = domain(multiplication(one,X_298)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_298)))]]) ).
cnf(refute_0_317,plain,
( domain(multiplication(one,X_298)) != domain(multiplication(one,X_298))
| multiplication(one,X_298) != X_298
| domain(multiplication(one,X_298)) = domain(X_298) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_298)),domain(multiplication(one,X_298))) ),[1,0],$fot(X_298)]]) ).
cnf(refute_0_318,plain,
( multiplication(one,X_298) != X_298
| domain(multiplication(one,X_298)) = domain(X_298) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_298)),domain(multiplication(one,X_298))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
domain(multiplication(one,X_298)) = domain(X_298),
inference(resolve,[$cnf( $equal(multiplication(one,X_298),X_298) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))) = addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))),
introduced(tautology,[refl,[$fot(addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))))]]) ).
cnf(refute_0_321,plain,
( addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))) != addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298)))
| domain(multiplication(one,X_298)) != domain(X_298)
| addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))) = addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))),addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298)))) ),[1,0],$fot(domain(X_298))]]) ).
cnf(refute_0_322,plain,
( domain(multiplication(one,X_298)) != domain(X_298)
| addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))) = addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))) ),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))),addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298)))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))) = addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_298)),domain(X_298)) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) = addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))),
inference(subst,[],[refute_0_14:[bind(A,$fot(domain(multiplication(one,X_298)))),bind(B,$fot(antidomain(multiplication(antidomain(X_50),X_298))))]]) ).
cnf(refute_0_325,plain,
( addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) != addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298)))
| addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))) != addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298)))
| addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) = addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))))),bind(Y,$fot(addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))))),bind(Z,$fot(addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298)))))]]) ).
cnf(refute_0_326,plain,
( addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))) != addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298)))
| addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) = addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))),addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298)))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) = addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))),
inference(resolve,[$cnf( $equal(addition(domain(multiplication(one,X_298)),antidomain(multiplication(antidomain(X_50),X_298))),addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298)))) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
( addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) != addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298)))
| addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) != one
| addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))),one) ),[0],$fot(addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))))]]) ).
cnf(refute_0_329,plain,
( addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))) != one
| addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))),addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298)))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
addition(domain(X_298),antidomain(multiplication(antidomain(X_50),X_298))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_50),X_298)),domain(multiplication(one,X_298))),one) )],[refute_0_314,refute_0_329]) ).
cnf(refute_0_331,plain,
addition(domain(X_347),antidomain(multiplication(antidomain(X_50),X_347))) = one,
inference(subst,[],[refute_0_330:[bind(X_298,$fot(X_347))]]) ).
cnf(refute_0_332,plain,
( addition(domain(X_347),antidomain(multiplication(antidomain(X_50),X_347))) != one
| multiplication(addition(domain(X_347),antidomain(multiplication(antidomain(X_50),X_347))),antidomain(X_347)) != multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347))
| multiplication(one,antidomain(X_347)) = multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_347),antidomain(multiplication(antidomain(X_50),X_347))),antidomain(X_347)),multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_333,plain,
( multiplication(addition(domain(X_347),antidomain(multiplication(antidomain(X_50),X_347))),antidomain(X_347)) != multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347))
| multiplication(one,antidomain(X_347)) = multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_347),antidomain(multiplication(antidomain(X_50),X_347))),one) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiplication(one,antidomain(X_347)) = multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_347),antidomain(multiplication(antidomain(X_50),X_347))),antidomain(X_347)),multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347))) )],[refute_0_286,refute_0_333]) ).
cnf(refute_0_335,plain,
multiplication(one,antidomain(X_347)) = antidomain(X_347),
inference(subst,[],[refute_0_4:[bind(A,$fot(antidomain(X_347)))]]) ).
cnf(refute_0_336,plain,
( multiplication(one,antidomain(X_347)) != antidomain(X_347)
| multiplication(one,antidomain(X_347)) != multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347))
| antidomain(X_347) = multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(X_347)),multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347))) ),[0],$fot(antidomain(X_347))]]) ).
cnf(refute_0_337,plain,
( multiplication(one,antidomain(X_347)) != multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347))
| antidomain(X_347) = multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347)) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_347)),antidomain(X_347)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
antidomain(X_347) = multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_347)),multiplication(antidomain(multiplication(antidomain(X_50),X_347)),antidomain(X_347))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
antidomain(X_936) = multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936)),
inference(subst,[],[refute_0_338:[bind(X_347,$fot(X_936)),bind(X_50,$fot(X_937))]]) ).
cnf(refute_0_340,plain,
( antidomain(X_936) != multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936))
| multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936)) = antidomain(X_936) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(antidomain(X_936))),bind(Y,$fot(multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936))))]]) ).
cnf(refute_0_341,plain,
multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936)) = antidomain(X_936),
inference(resolve,[$cnf( $equal(antidomain(X_936),multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
( multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936)) != antidomain(X_936)
| multiplication(domain(multiplication(antidomain(X_937),X_936)),multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936))) != zero
| multiplication(domain(multiplication(antidomain(X_937),X_936)),antidomain(X_936)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_937),X_936)),multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936))),zero) ),[0,1],$fot(antidomain(X_936))]]) ).
cnf(refute_0_343,plain,
( multiplication(domain(multiplication(antidomain(X_937),X_936)),multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936))) != zero
| multiplication(domain(multiplication(antidomain(X_937),X_936)),antidomain(X_936)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936)),antidomain(X_936)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
multiplication(domain(multiplication(antidomain(X_937),X_936)),antidomain(X_936)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_937),X_936)),multiplication(antidomain(multiplication(antidomain(X_937),X_936)),antidomain(X_936))),zero) )],[refute_0_285,refute_0_343]) ).
cnf(refute_0_345,plain,
multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(X_941)) = zero,
inference(subst,[],[refute_0_344:[bind(X_936,$fot(X_941)),bind(X_937,$fot(X_941))]]) ).
cnf(refute_0_346,plain,
( multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(X_941)) != zero
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(X_941)))) != zero
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(X_941)))),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_347,plain,
( multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(X_941)))) != zero
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(X_941)),zero) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(X_941)))),zero) )],[refute_0_275,refute_0_347]) ).
cnf(refute_0_349,plain,
multiplication(domain(multiplication(antidomain(X_941),X_941)),one) = domain(multiplication(antidomain(X_941),X_941)),
inference(subst,[],[refute_0_182:[bind(A,$fot(domain(multiplication(antidomain(X_941),X_941))))]]) ).
cnf(refute_0_350,plain,
addition(antidomain(zero),domain(zero)) = one,
inference(subst,[],[refute_0_292:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_351,plain,
domain(zero) = zero,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_352,plain,
( addition(antidomain(zero),domain(zero)) != one
| domain(zero) != zero
| addition(antidomain(zero),zero) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),domain(zero)),one) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_353,plain,
( addition(antidomain(zero),domain(zero)) != one
| addition(antidomain(zero),zero) = one ),
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
addition(antidomain(zero),zero) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(zero),domain(zero)),one) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_242:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_356,plain,
( addition(antidomain(zero),zero) != antidomain(zero)
| addition(antidomain(zero),zero) != one
| antidomain(zero) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),zero),one) ),[0],$fot(antidomain(zero))]]) ).
cnf(refute_0_357,plain,
( addition(antidomain(zero),zero) != one
| antidomain(zero) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),one) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)),
introduced(tautology,[refl,[$fot(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)))]]) ).
cnf(refute_0_360,plain,
( antidomain(zero) != one
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) != multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero))
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = multiplication(domain(multiplication(antidomain(X_941),X_941)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)),multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_361,plain,
( antidomain(zero) != one
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = multiplication(domain(multiplication(antidomain(X_941),X_941)),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)),multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = multiplication(domain(multiplication(antidomain(X_941),X_941)),one),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
( multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) != multiplication(domain(multiplication(antidomain(X_941),X_941)),one)
| multiplication(domain(multiplication(antidomain(X_941),X_941)),one) != domain(multiplication(antidomain(X_941),X_941))
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = domain(multiplication(antidomain(X_941),X_941)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)))),bind(Y,$fot(multiplication(domain(multiplication(antidomain(X_941),X_941)),one))),bind(Z,$fot(domain(multiplication(antidomain(X_941),X_941))))]]) ).
cnf(refute_0_364,plain,
( multiplication(domain(multiplication(antidomain(X_941),X_941)),one) != domain(multiplication(antidomain(X_941),X_941))
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = domain(multiplication(antidomain(X_941),X_941)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)),multiplication(domain(multiplication(antidomain(X_941),X_941)),one)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) = domain(multiplication(antidomain(X_941),X_941)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),one),domain(multiplication(antidomain(X_941),X_941))) )],[refute_0_349,refute_0_364]) ).
cnf(refute_0_366,plain,
( multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) != domain(multiplication(antidomain(X_941),X_941))
| multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) != zero
| domain(multiplication(antidomain(X_941),X_941)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)),zero) ),[0],$fot(domain(multiplication(antidomain(X_941),X_941)))]]) ).
cnf(refute_0_367,plain,
( multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)) != zero
| domain(multiplication(antidomain(X_941),X_941)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)),domain(multiplication(antidomain(X_941),X_941))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
domain(multiplication(antidomain(X_941),X_941)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(antidomain(X_941),X_941)),antidomain(zero)),zero) )],[refute_0_348,refute_0_367]) ).
cnf(refute_0_369,plain,
domain(multiplication(antidomain(X_942),X_942)) = zero,
inference(subst,[],[refute_0_368:[bind(X_941,$fot(X_942))]]) ).
cnf(refute_0_370,plain,
( domain(multiplication(antidomain(X_942),X_942)) != zero
| multiplication(antidomain(X_942),X_942) != multiplication(domain(multiplication(antidomain(X_942),X_942)),multiplication(antidomain(X_942),X_942))
| multiplication(antidomain(X_942),X_942) = multiplication(zero,multiplication(antidomain(X_942),X_942)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_942),X_942),multiplication(domain(multiplication(antidomain(X_942),X_942)),multiplication(antidomain(X_942),X_942))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_371,plain,
( multiplication(antidomain(X_942),X_942) != multiplication(domain(multiplication(antidomain(X_942),X_942)),multiplication(antidomain(X_942),X_942))
| multiplication(antidomain(X_942),X_942) = multiplication(zero,multiplication(antidomain(X_942),X_942)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(antidomain(X_942),X_942)),zero) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
multiplication(antidomain(X_942),X_942) = multiplication(zero,multiplication(antidomain(X_942),X_942)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_942),X_942),multiplication(domain(multiplication(antidomain(X_942),X_942)),multiplication(antidomain(X_942),X_942))) )],[refute_0_147,refute_0_371]) ).
cnf(refute_0_373,plain,
multiplication(zero,multiplication(antidomain(X_942),X_942)) = zero,
inference(subst,[],[refute_0_280:[bind(A,$fot(multiplication(antidomain(X_942),X_942)))]]) ).
cnf(refute_0_374,plain,
( multiplication(antidomain(X_942),X_942) != multiplication(zero,multiplication(antidomain(X_942),X_942))
| multiplication(zero,multiplication(antidomain(X_942),X_942)) != zero
| multiplication(antidomain(X_942),X_942) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(antidomain(X_942),X_942),zero) ),[0],$fot(multiplication(zero,multiplication(antidomain(X_942),X_942)))]]) ).
cnf(refute_0_375,plain,
( multiplication(antidomain(X_942),X_942) != multiplication(zero,multiplication(antidomain(X_942),X_942))
| multiplication(antidomain(X_942),X_942) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,multiplication(antidomain(X_942),X_942)),zero) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiplication(antidomain(X_942),X_942) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_942),X_942),multiplication(zero,multiplication(antidomain(X_942),X_942))) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
multiplication(antidomain(domain(X_587)),domain(X_587)) = zero,
inference(subst,[],[refute_0_376:[bind(X_942,$fot(domain(X_587)))]]) ).
cnf(refute_0_378,plain,
multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = addition(antidomain(X_587),multiplication(antidomain(X_587),antidomain(domain(X_587)))),
inference(subst,[],[refute_0_186:[bind(X_89,$fot(antidomain(X_587))),bind(X_91,$fot(antidomain(domain(X_587))))]]) ).
cnf(refute_0_379,plain,
multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) = addition(multiplication(X_108,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15)))),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_108)),bind(B,$fot(domain(X_15))),bind(C,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_380,plain,
multiplication(domain(domain(X_15)),antidomain(domain(X_15))) = zero,
inference(subst,[],[refute_0_148:[bind(X1,$fot(domain(X_15)))]]) ).
cnf(refute_0_381,plain,
domain(multiplication(one,X_14)) = domain(multiplication(one,domain(X_14))),
inference(subst,[],[refute_0_150:[bind(X0,$fot(one)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_382,plain,
multiplication(one,domain(X_14)) = domain(X_14),
inference(subst,[],[refute_0_4:[bind(A,$fot(domain(X_14)))]]) ).
cnf(refute_0_383,plain,
( domain(multiplication(one,X_14)) != domain(multiplication(one,domain(X_14)))
| multiplication(one,domain(X_14)) != domain(X_14)
| domain(multiplication(one,X_14)) = domain(domain(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_14)),domain(multiplication(one,domain(X_14)))) ),[1,0],$fot(domain(X_14))]]) ).
cnf(refute_0_384,plain,
( domain(multiplication(one,X_14)) != domain(multiplication(one,domain(X_14)))
| domain(multiplication(one,X_14)) = domain(domain(X_14)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_14)),domain(X_14)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
domain(multiplication(one,X_14)) = domain(domain(X_14)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_14)),domain(multiplication(one,domain(X_14)))) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
multiplication(one,X_14) = X_14,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_14))]]) ).
cnf(refute_0_387,plain,
domain(multiplication(one,X_14)) = domain(multiplication(one,X_14)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_14)))]]) ).
cnf(refute_0_388,plain,
( domain(multiplication(one,X_14)) != domain(multiplication(one,X_14))
| multiplication(one,X_14) != X_14
| domain(multiplication(one,X_14)) = domain(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_14)),domain(multiplication(one,X_14))) ),[1,0],$fot(X_14)]]) ).
cnf(refute_0_389,plain,
( multiplication(one,X_14) != X_14
| domain(multiplication(one,X_14)) = domain(X_14) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_14)),domain(multiplication(one,X_14))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
domain(multiplication(one,X_14)) = domain(X_14),
inference(resolve,[$cnf( $equal(multiplication(one,X_14),X_14) )],[refute_0_386,refute_0_389]) ).
cnf(refute_0_391,plain,
( domain(multiplication(one,X_14)) != domain(X_14)
| domain(multiplication(one,X_14)) != domain(domain(X_14))
| domain(X_14) = domain(domain(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_14)),domain(domain(X_14))) ),[0],$fot(domain(X_14))]]) ).
cnf(refute_0_392,plain,
( domain(multiplication(one,X_14)) != domain(domain(X_14))
| domain(X_14) = domain(domain(X_14)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_14)),domain(X_14)) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
domain(X_14) = domain(domain(X_14)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_14)),domain(domain(X_14))) )],[refute_0_385,refute_0_392]) ).
cnf(refute_0_394,plain,
domain(X_15) = domain(domain(X_15)),
inference(subst,[],[refute_0_393:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_395,plain,
( domain(X_15) != domain(domain(X_15))
| domain(domain(X_15)) = domain(X_15) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(domain(X_15))),bind(Y,$fot(domain(domain(X_15))))]]) ).
cnf(refute_0_396,plain,
domain(domain(X_15)) = domain(X_15),
inference(resolve,[$cnf( $equal(domain(X_15),domain(domain(X_15))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
( domain(domain(X_15)) != domain(X_15)
| multiplication(domain(domain(X_15)),antidomain(domain(X_15))) != zero
| multiplication(domain(X_15),antidomain(domain(X_15))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_15)),antidomain(domain(X_15))),zero) ),[0,0],$fot(domain(X_15))]]) ).
cnf(refute_0_398,plain,
( multiplication(domain(domain(X_15)),antidomain(domain(X_15))) != zero
| multiplication(domain(X_15),antidomain(domain(X_15))) = zero ),
inference(resolve,[$cnf( $equal(domain(domain(X_15)),domain(X_15)) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
multiplication(domain(X_15),antidomain(domain(X_15))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_15)),antidomain(domain(X_15))),zero) )],[refute_0_380,refute_0_398]) ).
cnf(refute_0_400,plain,
( multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) != addition(multiplication(X_108,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15))))
| multiplication(domain(X_15),antidomain(domain(X_15))) != zero
| multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) = addition(multiplication(X_108,antidomain(domain(X_15))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))),addition(multiplication(X_108,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_401,plain,
( multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) != addition(multiplication(X_108,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15))))
| multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) = addition(multiplication(X_108,antidomain(domain(X_15))),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_15),antidomain(domain(X_15))),zero) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) = addition(multiplication(X_108,antidomain(domain(X_15))),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))),addition(multiplication(X_108,antidomain(domain(X_15))),multiplication(domain(X_15),antidomain(domain(X_15))))) )],[refute_0_379,refute_0_401]) ).
cnf(refute_0_403,plain,
addition(multiplication(X_108,antidomain(domain(X_15))),zero) = multiplication(X_108,antidomain(domain(X_15))),
inference(subst,[],[refute_0_242:[bind(A,$fot(multiplication(X_108,antidomain(domain(X_15)))))]]) ).
cnf(refute_0_404,plain,
( addition(multiplication(X_108,antidomain(domain(X_15))),zero) != multiplication(X_108,antidomain(domain(X_15)))
| multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) != addition(multiplication(X_108,antidomain(domain(X_15))),zero)
| multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) = multiplication(X_108,antidomain(domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))),addition(multiplication(X_108,antidomain(domain(X_15))),zero)) ),[1],$fot(multiplication(X_108,antidomain(domain(X_15))))]]) ).
cnf(refute_0_405,plain,
( multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) != addition(multiplication(X_108,antidomain(domain(X_15))),zero)
| multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) = multiplication(X_108,antidomain(domain(X_15))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_108,antidomain(domain(X_15))),zero),multiplication(X_108,antidomain(domain(X_15)))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))) = multiplication(X_108,antidomain(domain(X_15))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_108,domain(X_15)),antidomain(domain(X_15))),addition(multiplication(X_108,antidomain(domain(X_15))),zero)) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
multiplication(addition(antidomain(X_584),domain(X_584)),antidomain(domain(X_584))) = multiplication(antidomain(X_584),antidomain(domain(X_584))),
inference(subst,[],[refute_0_406:[bind(X_108,$fot(antidomain(X_584))),bind(X_15,$fot(X_584))]]) ).
cnf(refute_0_408,plain,
addition(antidomain(X_584),domain(X_584)) = one,
inference(subst,[],[refute_0_292:[bind(X1,$fot(X_584))]]) ).
cnf(refute_0_409,plain,
( addition(antidomain(X_584),domain(X_584)) != one
| multiplication(addition(antidomain(X_584),domain(X_584)),antidomain(domain(X_584))) != multiplication(antidomain(X_584),antidomain(domain(X_584)))
| multiplication(one,antidomain(domain(X_584))) = multiplication(antidomain(X_584),antidomain(domain(X_584))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_584),domain(X_584)),antidomain(domain(X_584))),multiplication(antidomain(X_584),antidomain(domain(X_584)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_410,plain,
( multiplication(addition(antidomain(X_584),domain(X_584)),antidomain(domain(X_584))) != multiplication(antidomain(X_584),antidomain(domain(X_584)))
| multiplication(one,antidomain(domain(X_584))) = multiplication(antidomain(X_584),antidomain(domain(X_584))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_584),domain(X_584)),one) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
multiplication(one,antidomain(domain(X_584))) = multiplication(antidomain(X_584),antidomain(domain(X_584))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_584),domain(X_584)),antidomain(domain(X_584))),multiplication(antidomain(X_584),antidomain(domain(X_584)))) )],[refute_0_407,refute_0_410]) ).
cnf(refute_0_412,plain,
multiplication(one,antidomain(domain(X_584))) = antidomain(domain(X_584)),
inference(subst,[],[refute_0_4:[bind(A,$fot(antidomain(domain(X_584))))]]) ).
cnf(refute_0_413,plain,
( multiplication(one,antidomain(domain(X_584))) != antidomain(domain(X_584))
| multiplication(one,antidomain(domain(X_584))) != multiplication(antidomain(X_584),antidomain(domain(X_584)))
| antidomain(domain(X_584)) = multiplication(antidomain(X_584),antidomain(domain(X_584))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(domain(X_584))),multiplication(antidomain(X_584),antidomain(domain(X_584)))) ),[0],$fot(antidomain(domain(X_584)))]]) ).
cnf(refute_0_414,plain,
( multiplication(one,antidomain(domain(X_584))) != multiplication(antidomain(X_584),antidomain(domain(X_584)))
| antidomain(domain(X_584)) = multiplication(antidomain(X_584),antidomain(domain(X_584))) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(domain(X_584))),antidomain(domain(X_584))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
antidomain(domain(X_584)) = multiplication(antidomain(X_584),antidomain(domain(X_584))),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(domain(X_584))),multiplication(antidomain(X_584),antidomain(domain(X_584)))) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
antidomain(domain(X_587)) = multiplication(antidomain(X_587),antidomain(domain(X_587))),
inference(subst,[],[refute_0_415:[bind(X_584,$fot(X_587))]]) ).
cnf(refute_0_417,plain,
( antidomain(domain(X_587)) != multiplication(antidomain(X_587),antidomain(domain(X_587)))
| multiplication(antidomain(X_587),antidomain(domain(X_587))) = antidomain(domain(X_587)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(antidomain(domain(X_587)))),bind(Y,$fot(multiplication(antidomain(X_587),antidomain(domain(X_587)))))]]) ).
cnf(refute_0_418,plain,
multiplication(antidomain(X_587),antidomain(domain(X_587))) = antidomain(domain(X_587)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_587)),multiplication(antidomain(X_587),antidomain(domain(X_587)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
( multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) != addition(antidomain(X_587),multiplication(antidomain(X_587),antidomain(domain(X_587))))
| multiplication(antidomain(X_587),antidomain(domain(X_587))) != antidomain(domain(X_587))
| multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = addition(antidomain(X_587),antidomain(domain(X_587))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),addition(antidomain(X_587),multiplication(antidomain(X_587),antidomain(domain(X_587))))) ),[1,1],$fot(antidomain(domain(X_587)))]]) ).
cnf(refute_0_420,plain,
( multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) != addition(antidomain(X_587),multiplication(antidomain(X_587),antidomain(domain(X_587))))
| multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = addition(antidomain(X_587),antidomain(domain(X_587))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_587),antidomain(domain(X_587))),antidomain(domain(X_587))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = addition(antidomain(X_587),antidomain(domain(X_587))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),addition(antidomain(X_587),multiplication(antidomain(X_587),antidomain(domain(X_587))))) )],[refute_0_378,refute_0_420]) ).
cnf(refute_0_422,plain,
multiplication(antidomain(X_587),one) = antidomain(X_587),
inference(subst,[],[refute_0_182:[bind(A,$fot(antidomain(X_587)))]]) ).
cnf(refute_0_423,plain,
addition(antidomain(domain(X_15)),domain(addition(domain(X_15),antidomain(domain(X_15))))) = one,
inference(subst,[],[refute_0_306:[bind(X1,$fot(antidomain(domain(X_15)))),bind(X_50,$fot(domain(X_15)))]]) ).
cnf(refute_0_424,plain,
addition(antidomain(domain(X_15)),domain(domain(X_15))) = one,
inference(subst,[],[refute_0_292:[bind(X1,$fot(domain(X_15)))]]) ).
cnf(refute_0_425,plain,
( addition(antidomain(domain(X_15)),domain(domain(X_15))) != one
| domain(domain(X_15)) != domain(X_15)
| addition(antidomain(domain(X_15)),domain(X_15)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(domain(X_15))),one) ),[0,1],$fot(domain(X_15))]]) ).
cnf(refute_0_426,plain,
( addition(antidomain(domain(X_15)),domain(domain(X_15))) != one
| addition(antidomain(domain(X_15)),domain(X_15)) = one ),
inference(resolve,[$cnf( $equal(domain(domain(X_15)),domain(X_15)) )],[refute_0_396,refute_0_425]) ).
cnf(refute_0_427,plain,
addition(antidomain(domain(X_15)),domain(X_15)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(domain(X_15))),one) )],[refute_0_424,refute_0_426]) ).
cnf(refute_0_428,plain,
addition(antidomain(domain(X_15)),domain(X_15)) = addition(domain(X_15),antidomain(domain(X_15))),
inference(subst,[],[refute_0_14:[bind(A,$fot(domain(X_15))),bind(B,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_429,plain,
( addition(antidomain(domain(X_15)),domain(X_15)) != addition(domain(X_15),antidomain(domain(X_15)))
| addition(antidomain(domain(X_15)),domain(X_15)) != one
| addition(domain(X_15),antidomain(domain(X_15))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(X_15)),one) ),[0],$fot(addition(domain(X_15),antidomain(domain(X_15))))]]) ).
cnf(refute_0_430,plain,
( addition(antidomain(domain(X_15)),domain(X_15)) != one
| addition(domain(X_15),antidomain(domain(X_15))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(X_15)),addition(domain(X_15),antidomain(domain(X_15)))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
addition(domain(X_15),antidomain(domain(X_15))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(X_15)),one) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
( addition(antidomain(domain(X_15)),domain(addition(domain(X_15),antidomain(domain(X_15))))) != one
| addition(domain(X_15),antidomain(domain(X_15))) != one
| addition(antidomain(domain(X_15)),domain(one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(addition(domain(X_15),antidomain(domain(X_15))))),one) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_433,plain,
( addition(antidomain(domain(X_15)),domain(addition(domain(X_15),antidomain(domain(X_15))))) != one
| addition(antidomain(domain(X_15)),domain(one)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_15),antidomain(domain(X_15))),one) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
addition(antidomain(domain(X_15)),domain(one)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(addition(domain(X_15),antidomain(domain(X_15))))),one) )],[refute_0_423,refute_0_433]) ).
cnf(refute_0_435,plain,
addition(antidomain(X_50),addition(domain(X_50),antidomain(domain(X_50)))) = addition(one,antidomain(domain(X_50))),
inference(subst,[],[refute_0_295:[bind(X1,$fot(X_50)),bind(X_49,$fot(antidomain(domain(X_50))))]]) ).
cnf(refute_0_436,plain,
addition(domain(X_50),antidomain(domain(X_50))) = one,
inference(subst,[],[refute_0_431:[bind(X_15,$fot(X_50))]]) ).
cnf(refute_0_437,plain,
( addition(antidomain(X_50),addition(domain(X_50),antidomain(domain(X_50)))) != addition(one,antidomain(domain(X_50)))
| addition(domain(X_50),antidomain(domain(X_50))) != one
| addition(antidomain(X_50),one) = addition(one,antidomain(domain(X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_50),addition(domain(X_50),antidomain(domain(X_50)))),addition(one,antidomain(domain(X_50)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_438,plain,
( addition(antidomain(X_50),addition(domain(X_50),antidomain(domain(X_50)))) != addition(one,antidomain(domain(X_50)))
| addition(antidomain(X_50),one) = addition(one,antidomain(domain(X_50))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_50),antidomain(domain(X_50))),one) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
addition(antidomain(X_50),one) = addition(one,antidomain(domain(X_50))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_50),addition(domain(X_50),antidomain(domain(X_50)))),addition(one,antidomain(domain(X_50)))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
addition(antidomain(X_50),one) = addition(one,antidomain(X_50)),
inference(subst,[],[refute_0_14:[bind(A,$fot(one)),bind(B,$fot(antidomain(X_50)))]]) ).
cnf(refute_0_441,plain,
( addition(antidomain(X_50),one) != addition(one,antidomain(X_50))
| addition(antidomain(X_50),one) != addition(one,antidomain(domain(X_50)))
| addition(one,antidomain(X_50)) = addition(one,antidomain(domain(X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_50),one),addition(one,antidomain(domain(X_50)))) ),[0],$fot(addition(one,antidomain(X_50)))]]) ).
cnf(refute_0_442,plain,
( addition(antidomain(X_50),one) != addition(one,antidomain(domain(X_50)))
| addition(one,antidomain(X_50)) = addition(one,antidomain(domain(X_50))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_50),one),addition(one,antidomain(X_50))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
addition(one,antidomain(X_50)) = addition(one,antidomain(domain(X_50))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_50),one),addition(one,antidomain(domain(X_50)))) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
( addition(one,antidomain(X_50)) != addition(one,antidomain(domain(X_50)))
| addition(one,antidomain(domain(X_50))) = addition(one,antidomain(X_50)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(addition(one,antidomain(X_50)))),bind(Y,$fot(addition(one,antidomain(domain(X_50)))))]]) ).
cnf(refute_0_445,plain,
addition(one,antidomain(domain(X_50))) = addition(one,antidomain(X_50)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_50)),addition(one,antidomain(domain(X_50)))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
addition(one,antidomain(domain(X_15))) = addition(one,antidomain(X_15)),
inference(subst,[],[refute_0_445:[bind(X_50,$fot(X_15))]]) ).
cnf(refute_0_447,plain,
addition(domain(one),antidomain(domain(X_15))) = addition(domain(one),antidomain(domain(X_15))),
introduced(tautology,[refl,[$fot(addition(domain(one),antidomain(domain(X_15))))]]) ).
cnf(refute_0_448,plain,
( addition(domain(one),antidomain(domain(X_15))) != addition(domain(one),antidomain(domain(X_15)))
| domain(one) != one
| addition(domain(one),antidomain(domain(X_15))) = addition(one,antidomain(domain(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(one),antidomain(domain(X_15))),addition(domain(one),antidomain(domain(X_15)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_449,plain,
( domain(one) != one
| addition(domain(one),antidomain(domain(X_15))) = addition(one,antidomain(domain(X_15))) ),
inference(resolve,[$cnf( $equal(addition(domain(one),antidomain(domain(X_15))),addition(domain(one),antidomain(domain(X_15)))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
addition(domain(one),antidomain(domain(X_15))) = addition(one,antidomain(domain(X_15))),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_207,refute_0_449]) ).
cnf(refute_0_451,plain,
( addition(domain(one),antidomain(domain(X_15))) != addition(one,antidomain(domain(X_15)))
| addition(one,antidomain(domain(X_15))) != addition(one,antidomain(X_15))
| addition(domain(one),antidomain(domain(X_15))) = addition(one,antidomain(X_15)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(addition(domain(one),antidomain(domain(X_15))))),bind(Y,$fot(addition(one,antidomain(domain(X_15))))),bind(Z,$fot(addition(one,antidomain(X_15))))]]) ).
cnf(refute_0_452,plain,
( addition(one,antidomain(domain(X_15))) != addition(one,antidomain(X_15))
| addition(domain(one),antidomain(domain(X_15))) = addition(one,antidomain(X_15)) ),
inference(resolve,[$cnf( $equal(addition(domain(one),antidomain(domain(X_15))),addition(one,antidomain(domain(X_15)))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
addition(domain(one),antidomain(domain(X_15))) = addition(one,antidomain(X_15)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(domain(X_15))),addition(one,antidomain(X_15))) )],[refute_0_446,refute_0_452]) ).
cnf(refute_0_454,plain,
addition(antidomain(domain(X_15)),domain(one)) = addition(domain(one),antidomain(domain(X_15))),
inference(subst,[],[refute_0_14:[bind(A,$fot(domain(one))),bind(B,$fot(antidomain(domain(X_15))))]]) ).
cnf(refute_0_455,plain,
( addition(antidomain(domain(X_15)),domain(one)) != addition(domain(one),antidomain(domain(X_15)))
| addition(domain(one),antidomain(domain(X_15))) != addition(one,antidomain(X_15))
| addition(antidomain(domain(X_15)),domain(one)) = addition(one,antidomain(X_15)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(addition(antidomain(domain(X_15)),domain(one)))),bind(Y,$fot(addition(domain(one),antidomain(domain(X_15))))),bind(Z,$fot(addition(one,antidomain(X_15))))]]) ).
cnf(refute_0_456,plain,
( addition(domain(one),antidomain(domain(X_15))) != addition(one,antidomain(X_15))
| addition(antidomain(domain(X_15)),domain(one)) = addition(one,antidomain(X_15)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(one)),addition(domain(one),antidomain(domain(X_15)))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
addition(antidomain(domain(X_15)),domain(one)) = addition(one,antidomain(X_15)),
inference(resolve,[$cnf( $equal(addition(domain(one),antidomain(domain(X_15))),addition(one,antidomain(X_15))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( addition(antidomain(domain(X_15)),domain(one)) != addition(one,antidomain(X_15))
| addition(antidomain(domain(X_15)),domain(one)) != one
| addition(one,antidomain(X_15)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(one)),one) ),[0],$fot(addition(one,antidomain(X_15)))]]) ).
cnf(refute_0_459,plain,
( addition(antidomain(domain(X_15)),domain(one)) != one
| addition(one,antidomain(X_15)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(one)),addition(one,antidomain(X_15))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
addition(one,antidomain(X_15)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_15)),domain(one)),one) )],[refute_0_434,refute_0_459]) ).
cnf(refute_0_461,plain,
addition(one,antidomain(domain(X_587))) = one,
inference(subst,[],[refute_0_460:[bind(X_15,$fot(domain(X_587)))]]) ).
cnf(refute_0_462,plain,
multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))))]]) ).
cnf(refute_0_463,plain,
( addition(one,antidomain(domain(X_587))) != one
| multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) != multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587))))
| multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = multiplication(antidomain(X_587),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_464,plain,
( addition(one,antidomain(domain(X_587))) != one
| multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = multiplication(antidomain(X_587),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587))))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = multiplication(antidomain(X_587),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(domain(X_587))),one) )],[refute_0_461,refute_0_464]) ).
cnf(refute_0_466,plain,
( multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) != multiplication(antidomain(X_587),one)
| multiplication(antidomain(X_587),one) != antidomain(X_587)
| multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = antidomain(X_587) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))))),bind(Y,$fot(multiplication(antidomain(X_587),one))),bind(Z,$fot(antidomain(X_587)))]]) ).
cnf(refute_0_467,plain,
( multiplication(antidomain(X_587),one) != antidomain(X_587)
| multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = antidomain(X_587) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),multiplication(antidomain(X_587),one)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) = antidomain(X_587),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_587),one),antidomain(X_587)) )],[refute_0_422,refute_0_467]) ).
cnf(refute_0_469,plain,
( multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) != addition(antidomain(X_587),antidomain(domain(X_587)))
| multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) != antidomain(X_587)
| antidomain(X_587) = addition(antidomain(X_587),antidomain(domain(X_587))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),addition(antidomain(X_587),antidomain(domain(X_587)))) ),[0],$fot(antidomain(X_587))]]) ).
cnf(refute_0_470,plain,
( multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) != addition(antidomain(X_587),antidomain(domain(X_587)))
| antidomain(X_587) = addition(antidomain(X_587),antidomain(domain(X_587))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),antidomain(X_587)) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = addition(antidomain(domain(X_349)),multiplication(antidomain(domain(X_349)),antidomain(X_349))),
inference(subst,[],[refute_0_186:[bind(X_89,$fot(antidomain(domain(X_349)))),bind(X_91,$fot(antidomain(X_349)))]]) ).
cnf(refute_0_472,plain,
multiplication(addition(domain(X_347),antidomain(domain(X_347))),antidomain(X_347)) = multiplication(antidomain(domain(X_347)),antidomain(X_347)),
inference(subst,[],[refute_0_250:[bind(X1,$fot(X_347)),bind(X_109,$fot(antidomain(domain(X_347))))]]) ).
cnf(refute_0_473,plain,
addition(domain(X_347),antidomain(domain(X_347))) = one,
inference(subst,[],[refute_0_431:[bind(X_15,$fot(X_347))]]) ).
cnf(refute_0_474,plain,
( addition(domain(X_347),antidomain(domain(X_347))) != one
| multiplication(addition(domain(X_347),antidomain(domain(X_347))),antidomain(X_347)) != multiplication(antidomain(domain(X_347)),antidomain(X_347))
| multiplication(one,antidomain(X_347)) = multiplication(antidomain(domain(X_347)),antidomain(X_347)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_347),antidomain(domain(X_347))),antidomain(X_347)),multiplication(antidomain(domain(X_347)),antidomain(X_347))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_475,plain,
( multiplication(addition(domain(X_347),antidomain(domain(X_347))),antidomain(X_347)) != multiplication(antidomain(domain(X_347)),antidomain(X_347))
| multiplication(one,antidomain(X_347)) = multiplication(antidomain(domain(X_347)),antidomain(X_347)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_347),antidomain(domain(X_347))),one) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
multiplication(one,antidomain(X_347)) = multiplication(antidomain(domain(X_347)),antidomain(X_347)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_347),antidomain(domain(X_347))),antidomain(X_347)),multiplication(antidomain(domain(X_347)),antidomain(X_347))) )],[refute_0_472,refute_0_475]) ).
cnf(refute_0_477,plain,
( multiplication(one,antidomain(X_347)) != antidomain(X_347)
| multiplication(one,antidomain(X_347)) != multiplication(antidomain(domain(X_347)),antidomain(X_347))
| antidomain(X_347) = multiplication(antidomain(domain(X_347)),antidomain(X_347)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(X_347)),multiplication(antidomain(domain(X_347)),antidomain(X_347))) ),[0],$fot(antidomain(X_347))]]) ).
cnf(refute_0_478,plain,
( multiplication(one,antidomain(X_347)) != multiplication(antidomain(domain(X_347)),antidomain(X_347))
| antidomain(X_347) = multiplication(antidomain(domain(X_347)),antidomain(X_347)) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_347)),antidomain(X_347)) )],[refute_0_335,refute_0_477]) ).
cnf(refute_0_479,plain,
antidomain(X_347) = multiplication(antidomain(domain(X_347)),antidomain(X_347)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_347)),multiplication(antidomain(domain(X_347)),antidomain(X_347))) )],[refute_0_476,refute_0_478]) ).
cnf(refute_0_480,plain,
antidomain(X_349) = multiplication(antidomain(domain(X_349)),antidomain(X_349)),
inference(subst,[],[refute_0_479:[bind(X_347,$fot(X_349))]]) ).
cnf(refute_0_481,plain,
( antidomain(X_349) != multiplication(antidomain(domain(X_349)),antidomain(X_349))
| multiplication(antidomain(domain(X_349)),antidomain(X_349)) = antidomain(X_349) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(antidomain(X_349))),bind(Y,$fot(multiplication(antidomain(domain(X_349)),antidomain(X_349))))]]) ).
cnf(refute_0_482,plain,
multiplication(antidomain(domain(X_349)),antidomain(X_349)) = antidomain(X_349),
inference(resolve,[$cnf( $equal(antidomain(X_349),multiplication(antidomain(domain(X_349)),antidomain(X_349))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
( multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) != addition(antidomain(domain(X_349)),multiplication(antidomain(domain(X_349)),antidomain(X_349)))
| multiplication(antidomain(domain(X_349)),antidomain(X_349)) != antidomain(X_349)
| multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = addition(antidomain(domain(X_349)),antidomain(X_349)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),addition(antidomain(domain(X_349)),multiplication(antidomain(domain(X_349)),antidomain(X_349)))) ),[1,1],$fot(antidomain(X_349))]]) ).
cnf(refute_0_484,plain,
( multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) != addition(antidomain(domain(X_349)),multiplication(antidomain(domain(X_349)),antidomain(X_349)))
| multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = addition(antidomain(domain(X_349)),antidomain(X_349)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_349)),antidomain(X_349)),antidomain(X_349)) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = addition(antidomain(domain(X_349)),antidomain(X_349)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),addition(antidomain(domain(X_349)),multiplication(antidomain(domain(X_349)),antidomain(X_349)))) )],[refute_0_471,refute_0_484]) ).
cnf(refute_0_486,plain,
multiplication(antidomain(domain(X_349)),one) = antidomain(domain(X_349)),
inference(subst,[],[refute_0_182:[bind(A,$fot(antidomain(domain(X_349))))]]) ).
cnf(refute_0_487,plain,
addition(one,antidomain(X_349)) = one,
inference(subst,[],[refute_0_460:[bind(X_15,$fot(X_349))]]) ).
cnf(refute_0_488,plain,
multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))))]]) ).
cnf(refute_0_489,plain,
( addition(one,antidomain(X_349)) != one
| multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) != multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349)))
| multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = multiplication(antidomain(domain(X_349)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_490,plain,
( addition(one,antidomain(X_349)) != one
| multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = multiplication(antidomain(domain(X_349)),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349)))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = multiplication(antidomain(domain(X_349)),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_349)),one) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
( multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) != multiplication(antidomain(domain(X_349)),one)
| multiplication(antidomain(domain(X_349)),one) != antidomain(domain(X_349))
| multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = antidomain(domain(X_349)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))))),bind(Y,$fot(multiplication(antidomain(domain(X_349)),one))),bind(Z,$fot(antidomain(domain(X_349))))]]) ).
cnf(refute_0_493,plain,
( multiplication(antidomain(domain(X_349)),one) != antidomain(domain(X_349))
| multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = antidomain(domain(X_349)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),multiplication(antidomain(domain(X_349)),one)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) = antidomain(domain(X_349)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_349)),one),antidomain(domain(X_349))) )],[refute_0_486,refute_0_493]) ).
cnf(refute_0_495,plain,
( multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) != addition(antidomain(domain(X_349)),antidomain(X_349))
| multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) != antidomain(domain(X_349))
| antidomain(domain(X_349)) = addition(antidomain(domain(X_349)),antidomain(X_349)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),addition(antidomain(domain(X_349)),antidomain(X_349))) ),[0],$fot(antidomain(domain(X_349)))]]) ).
cnf(refute_0_496,plain,
( multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) != addition(antidomain(domain(X_349)),antidomain(X_349))
| antidomain(domain(X_349)) = addition(antidomain(domain(X_349)),antidomain(X_349)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),antidomain(domain(X_349))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
addition(antidomain(domain(X_349)),antidomain(X_349)) = addition(antidomain(X_349),antidomain(domain(X_349))),
inference(subst,[],[refute_0_14:[bind(A,$fot(antidomain(X_349))),bind(B,$fot(antidomain(domain(X_349))))]]) ).
cnf(refute_0_498,plain,
( addition(antidomain(domain(X_349)),antidomain(X_349)) != addition(antidomain(X_349),antidomain(domain(X_349)))
| antidomain(domain(X_349)) != addition(antidomain(domain(X_349)),antidomain(X_349))
| antidomain(domain(X_349)) = addition(antidomain(X_349),antidomain(domain(X_349))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X_349)),addition(antidomain(domain(X_349)),antidomain(X_349))) ),[1],$fot(addition(antidomain(X_349),antidomain(domain(X_349))))]]) ).
cnf(refute_0_499,plain,
( antidomain(domain(X_349)) != addition(antidomain(domain(X_349)),antidomain(X_349))
| antidomain(domain(X_349)) = addition(antidomain(X_349),antidomain(domain(X_349))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_349)),antidomain(X_349)),addition(antidomain(X_349),antidomain(domain(X_349)))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
( multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))) != addition(antidomain(domain(X_349)),antidomain(X_349))
| antidomain(domain(X_349)) = addition(antidomain(X_349),antidomain(domain(X_349))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_349)),addition(antidomain(domain(X_349)),antidomain(X_349))) )],[refute_0_496,refute_0_499]) ).
cnf(refute_0_501,plain,
antidomain(domain(X_349)) = addition(antidomain(X_349),antidomain(domain(X_349))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_349)),addition(one,antidomain(X_349))),addition(antidomain(domain(X_349)),antidomain(X_349))) )],[refute_0_485,refute_0_500]) ).
cnf(refute_0_502,plain,
( antidomain(domain(X_349)) != addition(antidomain(X_349),antidomain(domain(X_349)))
| addition(antidomain(X_349),antidomain(domain(X_349))) = antidomain(domain(X_349)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(antidomain(domain(X_349)))),bind(Y,$fot(addition(antidomain(X_349),antidomain(domain(X_349)))))]]) ).
cnf(refute_0_503,plain,
addition(antidomain(X_349),antidomain(domain(X_349))) = antidomain(domain(X_349)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_349)),addition(antidomain(X_349),antidomain(domain(X_349)))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
addition(antidomain(X_587),antidomain(domain(X_587))) = antidomain(domain(X_587)),
inference(subst,[],[refute_0_503:[bind(X_349,$fot(X_587))]]) ).
cnf(refute_0_505,plain,
( addition(antidomain(X_587),antidomain(domain(X_587))) != antidomain(domain(X_587))
| antidomain(X_587) != addition(antidomain(X_587),antidomain(domain(X_587)))
| antidomain(X_587) = antidomain(domain(X_587)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(X_587),addition(antidomain(X_587),antidomain(domain(X_587)))) ),[1],$fot(antidomain(domain(X_587)))]]) ).
cnf(refute_0_506,plain,
( antidomain(X_587) != addition(antidomain(X_587),antidomain(domain(X_587)))
| antidomain(X_587) = antidomain(domain(X_587)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_587),antidomain(domain(X_587))),antidomain(domain(X_587))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
( multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))) != addition(antidomain(X_587),antidomain(domain(X_587)))
| antidomain(X_587) = antidomain(domain(X_587)) ),
inference(resolve,[$cnf( $equal(antidomain(X_587),addition(antidomain(X_587),antidomain(domain(X_587)))) )],[refute_0_470,refute_0_506]) ).
cnf(refute_0_508,plain,
antidomain(X_587) = antidomain(domain(X_587)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_587),addition(one,antidomain(domain(X_587)))),addition(antidomain(X_587),antidomain(domain(X_587)))) )],[refute_0_421,refute_0_507]) ).
cnf(refute_0_509,plain,
( antidomain(X_587) != antidomain(domain(X_587))
| antidomain(domain(X_587)) = antidomain(X_587) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(antidomain(X_587))),bind(Y,$fot(antidomain(domain(X_587))))]]) ).
cnf(refute_0_510,plain,
antidomain(domain(X_587)) = antidomain(X_587),
inference(resolve,[$cnf( $equal(antidomain(X_587),antidomain(domain(X_587))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
( antidomain(domain(X_587)) != antidomain(X_587)
| multiplication(antidomain(domain(X_587)),domain(X_587)) != zero
| multiplication(antidomain(X_587),domain(X_587)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_587)),domain(X_587)),zero) ),[0,0],$fot(antidomain(X_587))]]) ).
cnf(refute_0_512,plain,
( multiplication(antidomain(domain(X_587)),domain(X_587)) != zero
| multiplication(antidomain(X_587),domain(X_587)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_587)),antidomain(X_587)) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
multiplication(antidomain(X_587),domain(X_587)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_587)),domain(X_587)),zero) )],[refute_0_377,refute_0_512]) ).
cnf(refute_0_514,plain,
multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) = zero,
inference(subst,[],[refute_0_513:[bind(X_587,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_515,plain,
( multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != zero
| zero != zero
| multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_516,plain,
( zero != zero
| multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)),zero) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
zero != zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)),zero) )],[refute_0_516,refute_0_0]) ).
cnf(refute_0_518,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_519,plain,
$false,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_518,refute_0_517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KLE079+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Thu Jun 16 09:05:29 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 28.46/28.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.46/28.64
% 28.46/28.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.46/28.68
%------------------------------------------------------------------------------