TSTP Solution File: KLE062+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE062+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 02:14:59 EDT 2022
% Result : Theorem 64.46s 64.63s
% Output : CNFRefutation 64.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 75
% Syntax : Number of formulae : 366 ( 210 unt; 0 def)
% Number of atoms : 586 ( 585 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 446 ( 226 ~; 220 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 659 ( 31 sgn 63 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,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(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(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ).
fof(goals,conjecture,
! [X0,X1] : multiplication(domain(X0),domain(X1)) = multiplication(domain(X1),domain(X0)) ).
fof(subgoal_0,plain,
! [X0,X1] : multiplication(domain(X0),domain(X1)) = multiplication(domain(X1),domain(X0)),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] : multiplication(domain(X0),domain(X1)) = multiplication(domain(X1),domain(X0)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1] : multiplication(domain(X0),domain(X1)) != multiplication(domain(X1),domain(X0)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_3,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_5,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_7,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_9,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_11,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : addition(domain(X0),one) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_13,plain,
! [X0] : addition(domain(X0),one) = one,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_15,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[domain5]) ).
fof(normalize_0_17,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_21,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_20]) ).
cnf(refute_0_0,plain,
multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
multiplication(domain(X_100),addition(X_99,X_100)) = addition(multiplication(domain(X_100),X_99),multiplication(domain(X_100),X_100)),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X_100))),bind(B,$fot(X_99)),bind(C,$fot(X_100))]]) ).
cnf(refute_0_3,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
multiplication(addition(X_50,one),X_52) = addition(multiplication(X_50,X_52),multiplication(one,X_52)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_50)),bind(B,$fot(one)),bind(C,$fot(X_52))]]) ).
cnf(refute_0_6,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
multiplication(one,X_52) = X_52,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_52))]]) ).
cnf(refute_0_8,plain,
( multiplication(addition(X_50,one),X_52) != addition(multiplication(X_50,X_52),multiplication(one,X_52))
| multiplication(one,X_52) != X_52
| multiplication(addition(X_50,one),X_52) = addition(multiplication(X_50,X_52),X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_50,one),X_52),addition(multiplication(X_50,X_52),multiplication(one,X_52))) ),[1,1],$fot(X_52)]]) ).
cnf(refute_0_9,plain,
( multiplication(addition(X_50,one),X_52) != addition(multiplication(X_50,X_52),multiplication(one,X_52))
| multiplication(addition(X_50,one),X_52) = addition(multiplication(X_50,X_52),X_52) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_52),X_52) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiplication(addition(X_50,one),X_52) = addition(multiplication(X_50,X_52),X_52),
inference(resolve,[$cnf( $equal(multiplication(addition(X_50,one),X_52),addition(multiplication(X_50,X_52),multiplication(one,X_52))) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_16,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
addition(multiplication(X_50,X_52),X_52) = addition(X_52,multiplication(X_50,X_52)),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_52)),bind(B,$fot(multiplication(X_50,X_52)))]]) ).
cnf(refute_0_18,plain,
( addition(multiplication(X_50,X_52),X_52) != addition(X_52,multiplication(X_50,X_52))
| multiplication(addition(X_50,one),X_52) != addition(multiplication(X_50,X_52),X_52)
| multiplication(addition(X_50,one),X_52) = addition(X_52,multiplication(X_50,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_50,one),X_52),addition(multiplication(X_50,X_52),X_52)) ),[1],$fot(addition(X_52,multiplication(X_50,X_52)))]]) ).
cnf(refute_0_19,plain,
( multiplication(addition(X_50,one),X_52) != addition(multiplication(X_50,X_52),X_52)
| multiplication(addition(X_50,one),X_52) = addition(X_52,multiplication(X_50,X_52)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_50,X_52),X_52),addition(X_52,multiplication(X_50,X_52))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
multiplication(addition(X_50,one),X_52) = addition(X_52,multiplication(X_50,X_52)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_50,one),X_52),addition(multiplication(X_50,X_52),X_52)) )],[refute_0_10,refute_0_19]) ).
cnf(refute_0_21,plain,
multiplication(addition(domain(X0),one),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(subst,[],[refute_0_20:[bind(X_50,$fot(domain(X0))),bind(X_52,$fot(X0))]]) ).
cnf(refute_0_22,plain,
( multiplication(addition(domain(X0),one),X0) != addition(X0,multiplication(domain(X0),X0))
| addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(addition(X0,multiplication(domain(X0),X0))))]]) ).
cnf(refute_0_23,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),addition(X0,multiplication(domain(X0),X0))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(addition(domain(X0),one),X0)
| addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) ),[0],$fot(multiplication(addition(domain(X0),one),X0))]]) ).
cnf(refute_0_25,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(addition(domain(X0),one),X0)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) )],[refute_0_3,refute_0_25]) ).
cnf(refute_0_27,plain,
multiplication(one,X0) = X0,
inference(subst,[],[refute_0_6:[bind(A,$fot(X0))]]) ).
cnf(refute_0_28,plain,
addition(domain(X0),one) = one,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_29,plain,
addition(domain(X0),one) = addition(one,domain(X0)),
inference(subst,[],[refute_0_16:[bind(A,$fot(one)),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_30,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_31,plain,
( addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),addition(one,domain(X0))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
addition(one,domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(addition(one,domain(X0)),X0),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),X0))]]) ).
cnf(refute_0_34,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_35,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_14,refute_0_37]) ).
cnf(refute_0_39,plain,
( multiplication(addition(one,domain(X0)),X0) != multiplication(one,X0)
| multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Y,$fot(multiplication(one,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_40,plain,
( multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(one,X0)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
multiplication(addition(one,domain(X0)),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(one,X0),X0) )],[refute_0_27,refute_0_40]) ).
cnf(refute_0_42,plain,
addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) = addition(multiplication(X_50,X_52),multiplication(X_51,X_52)),
inference(subst,[],[refute_0_11:[bind(A,$fot(multiplication(X_51,X_52))),bind(B,$fot(multiplication(X_50,X_52)))]]) ).
cnf(refute_0_43,plain,
multiplication(addition(X_50,X_51),X_52) = addition(multiplication(X_50,X_52),multiplication(X_51,X_52)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_50)),bind(B,$fot(X_51)),bind(C,$fot(X_52))]]) ).
cnf(refute_0_44,plain,
( multiplication(addition(X_50,X_51),X_52) != addition(multiplication(X_50,X_52),multiplication(X_51,X_52))
| addition(multiplication(X_50,X_52),multiplication(X_51,X_52)) = multiplication(addition(X_50,X_51),X_52) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(X_50,X_51),X_52))),bind(Y,$fot(addition(multiplication(X_50,X_52),multiplication(X_51,X_52))))]]) ).
cnf(refute_0_45,plain,
addition(multiplication(X_50,X_52),multiplication(X_51,X_52)) = multiplication(addition(X_50,X_51),X_52),
inference(resolve,[$cnf( $equal(multiplication(addition(X_50,X_51),X_52),addition(multiplication(X_50,X_52),multiplication(X_51,X_52))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( addition(multiplication(X_50,X_52),multiplication(X_51,X_52)) != multiplication(addition(X_50,X_51),X_52)
| addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) != addition(multiplication(X_50,X_52),multiplication(X_51,X_52))
| addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) = multiplication(addition(X_50,X_51),X_52) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_51,X_52),multiplication(X_50,X_52)),addition(multiplication(X_50,X_52),multiplication(X_51,X_52))) ),[1],$fot(multiplication(addition(X_50,X_51),X_52))]]) ).
cnf(refute_0_47,plain,
( addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) != addition(multiplication(X_50,X_52),multiplication(X_51,X_52))
| addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) = multiplication(addition(X_50,X_51),X_52) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_50,X_52),multiplication(X_51,X_52)),multiplication(addition(X_50,X_51),X_52)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) = multiplication(addition(X_50,X_51),X_52),
inference(resolve,[$cnf( $equal(addition(multiplication(X_51,X_52),multiplication(X_50,X_52)),addition(multiplication(X_50,X_52),multiplication(X_51,X_52))) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_50,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_4,refute_0_49]) ).
cnf(refute_0_51,plain,
addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) = multiplication(addition(X_51,X_50),X_52),
inference(subst,[],[refute_0_50:[bind(A,$fot(X_51)),bind(B,$fot(X_50)),bind(C,$fot(X_52))]]) ).
cnf(refute_0_52,plain,
( addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) != multiplication(addition(X_50,X_51),X_52)
| addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) != multiplication(addition(X_51,X_50),X_52)
| multiplication(addition(X_51,X_50),X_52) = multiplication(addition(X_50,X_51),X_52) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_51,X_52),multiplication(X_50,X_52)),multiplication(addition(X_50,X_51),X_52)) ),[0],$fot(multiplication(addition(X_51,X_50),X_52))]]) ).
cnf(refute_0_53,plain,
( addition(multiplication(X_51,X_52),multiplication(X_50,X_52)) != multiplication(addition(X_50,X_51),X_52)
| multiplication(addition(X_51,X_50),X_52) = multiplication(addition(X_50,X_51),X_52) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_51,X_52),multiplication(X_50,X_52)),multiplication(addition(X_51,X_50),X_52)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiplication(addition(X_51,X_50),X_52) = multiplication(addition(X_50,X_51),X_52),
inference(resolve,[$cnf( $equal(addition(multiplication(X_51,X_52),multiplication(X_50,X_52)),multiplication(addition(X_50,X_51),X_52)) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
( multiplication(addition(X_51,X_50),X_52) != multiplication(addition(X_50,X_51),X_52)
| multiplication(addition(X_50,X_51),X_52) = multiplication(addition(X_51,X_50),X_52) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(addition(X_51,X_50),X_52))),bind(Y,$fot(multiplication(addition(X_50,X_51),X_52)))]]) ).
cnf(refute_0_56,plain,
multiplication(addition(X_50,X_51),X_52) = multiplication(addition(X_51,X_50),X_52),
inference(resolve,[$cnf( $equal(multiplication(addition(X_51,X_50),X_52),multiplication(addition(X_50,X_51),X_52)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(addition(one,domain(X0)),X0),
inference(subst,[],[refute_0_56:[bind(X_50,$fot(domain(X0))),bind(X_51,$fot(one)),bind(X_52,$fot(X0))]]) ).
cnf(refute_0_58,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_38:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_59,plain,
( multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiplication(addition(domain(X0),one),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),X0) )],[refute_0_41,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiplication(addition(domain(X0),one),X0) != X0
| multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_62,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),X0) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
X0 = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) )],[refute_0_26,refute_0_62]) ).
cnf(refute_0_64,plain,
X_100 = multiplication(domain(X_100),X_100),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_100))]]) ).
cnf(refute_0_65,plain,
( X_100 != multiplication(domain(X_100),X_100)
| multiplication(domain(X_100),X_100) = X_100 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_100)),bind(Y,$fot(multiplication(domain(X_100),X_100)))]]) ).
cnf(refute_0_66,plain,
multiplication(domain(X_100),X_100) = X_100,
inference(resolve,[$cnf( $equal(X_100,multiplication(domain(X_100),X_100)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( multiplication(domain(X_100),X_100) != X_100
| multiplication(domain(X_100),addition(X_99,X_100)) != addition(multiplication(domain(X_100),X_99),multiplication(domain(X_100),X_100))
| multiplication(domain(X_100),addition(X_99,X_100)) = addition(multiplication(domain(X_100),X_99),X_100) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_100),addition(X_99,X_100)),addition(multiplication(domain(X_100),X_99),multiplication(domain(X_100),X_100))) ),[1,1],$fot(X_100)]]) ).
cnf(refute_0_68,plain,
( multiplication(domain(X_100),addition(X_99,X_100)) != addition(multiplication(domain(X_100),X_99),multiplication(domain(X_100),X_100))
| multiplication(domain(X_100),addition(X_99,X_100)) = addition(multiplication(domain(X_100),X_99),X_100) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_100),X_100),X_100) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
multiplication(domain(X_100),addition(X_99,X_100)) = addition(multiplication(domain(X_100),X_99),X_100),
inference(resolve,[$cnf( $equal(multiplication(domain(X_100),addition(X_99,X_100)),addition(multiplication(domain(X_100),X_99),multiplication(domain(X_100),X_100))) )],[refute_0_2,refute_0_68]) ).
cnf(refute_0_70,plain,
addition(multiplication(domain(X_100),X_99),X_100) = addition(X_100,multiplication(domain(X_100),X_99)),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_100)),bind(B,$fot(multiplication(domain(X_100),X_99)))]]) ).
cnf(refute_0_71,plain,
( addition(multiplication(domain(X_100),X_99),X_100) != addition(X_100,multiplication(domain(X_100),X_99))
| multiplication(domain(X_100),addition(X_99,X_100)) != addition(multiplication(domain(X_100),X_99),X_100)
| multiplication(domain(X_100),addition(X_99,X_100)) = addition(X_100,multiplication(domain(X_100),X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_100),addition(X_99,X_100)),addition(multiplication(domain(X_100),X_99),X_100)) ),[1],$fot(addition(X_100,multiplication(domain(X_100),X_99)))]]) ).
cnf(refute_0_72,plain,
( multiplication(domain(X_100),addition(X_99,X_100)) != addition(multiplication(domain(X_100),X_99),X_100)
| multiplication(domain(X_100),addition(X_99,X_100)) = addition(X_100,multiplication(domain(X_100),X_99)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_100),X_99),X_100),addition(X_100,multiplication(domain(X_100),X_99))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiplication(domain(X_100),addition(X_99,X_100)) = addition(X_100,multiplication(domain(X_100),X_99)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_100),addition(X_99,X_100)),addition(multiplication(domain(X_100),X_99),X_100)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
multiplication(domain(multiplication(domain(X0),X_247)),addition(X_247,multiplication(domain(X0),X_247))) = addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)),
inference(subst,[],[refute_0_73:[bind(X_100,$fot(multiplication(domain(X0),X_247))),bind(X_99,$fot(X_247))]]) ).
cnf(refute_0_75,plain,
multiplication(addition(one,X_51),X_52) = addition(multiplication(one,X_52),multiplication(X_51,X_52)),
inference(subst,[],[refute_0_4:[bind(A,$fot(one)),bind(B,$fot(X_51)),bind(C,$fot(X_52))]]) ).
cnf(refute_0_76,plain,
( multiplication(addition(one,X_51),X_52) != addition(multiplication(one,X_52),multiplication(X_51,X_52))
| multiplication(one,X_52) != X_52
| multiplication(addition(one,X_51),X_52) = addition(X_52,multiplication(X_51,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_51),X_52),addition(multiplication(one,X_52),multiplication(X_51,X_52))) ),[1,0],$fot(X_52)]]) ).
cnf(refute_0_77,plain,
( multiplication(addition(one,X_51),X_52) != addition(multiplication(one,X_52),multiplication(X_51,X_52))
| multiplication(addition(one,X_51),X_52) = addition(X_52,multiplication(X_51,X_52)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_52),X_52) )],[refute_0_7,refute_0_76]) ).
cnf(refute_0_78,plain,
multiplication(addition(one,X_51),X_52) = addition(X_52,multiplication(X_51,X_52)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_51),X_52),addition(multiplication(one,X_52),multiplication(X_51,X_52))) )],[refute_0_75,refute_0_77]) ).
cnf(refute_0_79,plain,
multiplication(addition(one,domain(X0)),X_63) = addition(X_63,multiplication(domain(X0),X_63)),
inference(subst,[],[refute_0_78:[bind(X_51,$fot(domain(X0))),bind(X_52,$fot(X_63))]]) ).
cnf(refute_0_80,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X_63) != addition(X_63,multiplication(domain(X0),X_63))
| multiplication(one,X_63) = addition(X_63,multiplication(domain(X0),X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_63),addition(X_63,multiplication(domain(X0),X_63))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_81,plain,
( multiplication(addition(one,domain(X0)),X_63) != addition(X_63,multiplication(domain(X0),X_63))
| multiplication(one,X_63) = addition(X_63,multiplication(domain(X0),X_63)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_32,refute_0_80]) ).
cnf(refute_0_82,plain,
multiplication(one,X_63) = addition(X_63,multiplication(domain(X0),X_63)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_63),addition(X_63,multiplication(domain(X0),X_63))) )],[refute_0_79,refute_0_81]) ).
cnf(refute_0_83,plain,
multiplication(one,X_63) = X_63,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_63))]]) ).
cnf(refute_0_84,plain,
( multiplication(one,X_63) != X_63
| multiplication(one,X_63) != addition(X_63,multiplication(domain(X0),X_63))
| X_63 = addition(X_63,multiplication(domain(X0),X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_63),addition(X_63,multiplication(domain(X0),X_63))) ),[0],$fot(X_63)]]) ).
cnf(refute_0_85,plain,
( multiplication(one,X_63) != addition(X_63,multiplication(domain(X0),X_63))
| X_63 = addition(X_63,multiplication(domain(X0),X_63)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_63),X_63) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
X_63 = addition(X_63,multiplication(domain(X0),X_63)),
inference(resolve,[$cnf( $equal(multiplication(one,X_63),addition(X_63,multiplication(domain(X0),X_63))) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
X_247 = addition(X_247,multiplication(domain(X0),X_247)),
inference(subst,[],[refute_0_86:[bind(X_63,$fot(X_247))]]) ).
cnf(refute_0_88,plain,
( X_247 != addition(X_247,multiplication(domain(X0),X_247))
| addition(X_247,multiplication(domain(X0),X_247)) = X_247 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_247)),bind(Y,$fot(addition(X_247,multiplication(domain(X0),X_247))))]]) ).
cnf(refute_0_89,plain,
addition(X_247,multiplication(domain(X0),X_247)) = X_247,
inference(resolve,[$cnf( $equal(X_247,addition(X_247,multiplication(domain(X0),X_247))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( addition(X_247,multiplication(domain(X0),X_247)) != X_247
| multiplication(domain(multiplication(domain(X0),X_247)),addition(X_247,multiplication(domain(X0),X_247))) != addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247))
| multiplication(domain(multiplication(domain(X0),X_247)),X_247) = addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_247)),addition(X_247,multiplication(domain(X0),X_247))),addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247))) ),[0,1],$fot(X_247)]]) ).
cnf(refute_0_91,plain,
( multiplication(domain(multiplication(domain(X0),X_247)),addition(X_247,multiplication(domain(X0),X_247))) != addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247))
| multiplication(domain(multiplication(domain(X0),X_247)),X_247) = addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)) ),
inference(resolve,[$cnf( $equal(addition(X_247,multiplication(domain(X0),X_247)),X_247) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiplication(domain(multiplication(domain(X0),X_247)),X_247) = addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_247)),addition(X_247,multiplication(domain(X0),X_247))),addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247))) )],[refute_0_74,refute_0_91]) ).
cnf(refute_0_93,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_94,plain,
domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))) = domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))),
inference(subst,[],[refute_0_93:[bind(X0,$fot(domain(X_110))),bind(X1,$fot(domain(addition(X_110,X_111))))]]) ).
cnf(refute_0_95,plain,
multiplication(domain(X_99),addition(X_99,X_100)) = addition(multiplication(domain(X_99),X_99),multiplication(domain(X_99),X_100)),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X_99))),bind(B,$fot(X_99)),bind(C,$fot(X_100))]]) ).
cnf(refute_0_96,plain,
X_99 = multiplication(domain(X_99),X_99),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_99))]]) ).
cnf(refute_0_97,plain,
( X_99 != multiplication(domain(X_99),X_99)
| multiplication(domain(X_99),X_99) = X_99 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_99)),bind(Y,$fot(multiplication(domain(X_99),X_99)))]]) ).
cnf(refute_0_98,plain,
multiplication(domain(X_99),X_99) = X_99,
inference(resolve,[$cnf( $equal(X_99,multiplication(domain(X_99),X_99)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
( multiplication(domain(X_99),X_99) != X_99
| multiplication(domain(X_99),addition(X_99,X_100)) != addition(multiplication(domain(X_99),X_99),multiplication(domain(X_99),X_100))
| multiplication(domain(X_99),addition(X_99,X_100)) = addition(X_99,multiplication(domain(X_99),X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_99),addition(X_99,X_100)),addition(multiplication(domain(X_99),X_99),multiplication(domain(X_99),X_100))) ),[1,0],$fot(X_99)]]) ).
cnf(refute_0_100,plain,
( multiplication(domain(X_99),addition(X_99,X_100)) != addition(multiplication(domain(X_99),X_99),multiplication(domain(X_99),X_100))
| multiplication(domain(X_99),addition(X_99,X_100)) = addition(X_99,multiplication(domain(X_99),X_100)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_99),X_99),X_99) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
multiplication(domain(X_99),addition(X_99,X_100)) = addition(X_99,multiplication(domain(X_99),X_100)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_99),addition(X_99,X_100)),addition(multiplication(domain(X_99),X_99),multiplication(domain(X_99),X_100))) )],[refute_0_95,refute_0_100]) ).
cnf(refute_0_102,plain,
multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(subst,[],[refute_0_101:[bind(X_100,$fot(domain(X1))),bind(X_99,$fot(domain(X0)))]]) ).
cnf(refute_0_103,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_104,plain,
( domain(addition(X0,X1)) != addition(domain(X0),domain(X1))
| addition(domain(X0),domain(X1)) = domain(addition(X0,X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(addition(X0,X1)))),bind(Y,$fot(addition(domain(X0),domain(X1))))]]) ).
cnf(refute_0_105,plain,
addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X0),domain(X1))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( addition(domain(X0),domain(X1)) != domain(addition(X0,X1))
| multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) ),[0,1],$fot(domain(addition(X0,X1)))]]) ).
cnf(refute_0_107,plain,
( multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X1)),domain(addition(X0,X1))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
multiplication(domain(domain(X0)),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) )],[refute_0_102,refute_0_107]) ).
cnf(refute_0_109,plain,
domain(multiplication(one,X_28)) = domain(multiplication(one,domain(X_28))),
inference(subst,[],[refute_0_93:[bind(X0,$fot(one)),bind(X1,$fot(X_28))]]) ).
cnf(refute_0_110,plain,
multiplication(one,domain(X_28)) = domain(X_28),
inference(subst,[],[refute_0_6:[bind(A,$fot(domain(X_28)))]]) ).
cnf(refute_0_111,plain,
( domain(multiplication(one,X_28)) != domain(multiplication(one,domain(X_28)))
| multiplication(one,domain(X_28)) != domain(X_28)
| domain(multiplication(one,X_28)) = domain(domain(X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_28)),domain(multiplication(one,domain(X_28)))) ),[1,0],$fot(domain(X_28))]]) ).
cnf(refute_0_112,plain,
( domain(multiplication(one,X_28)) != domain(multiplication(one,domain(X_28)))
| domain(multiplication(one,X_28)) = domain(domain(X_28)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_28)),domain(X_28)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
domain(multiplication(one,X_28)) = domain(domain(X_28)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_28)),domain(multiplication(one,domain(X_28)))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
multiplication(one,X_28) = X_28,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_28))]]) ).
cnf(refute_0_115,plain,
domain(multiplication(one,X_28)) = domain(multiplication(one,X_28)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_28)))]]) ).
cnf(refute_0_116,plain,
( domain(multiplication(one,X_28)) != domain(multiplication(one,X_28))
| multiplication(one,X_28) != X_28
| domain(multiplication(one,X_28)) = domain(X_28) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_28)),domain(multiplication(one,X_28))) ),[1,0],$fot(X_28)]]) ).
cnf(refute_0_117,plain,
( multiplication(one,X_28) != X_28
| domain(multiplication(one,X_28)) = domain(X_28) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_28)),domain(multiplication(one,X_28))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
domain(multiplication(one,X_28)) = domain(X_28),
inference(resolve,[$cnf( $equal(multiplication(one,X_28),X_28) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
( domain(multiplication(one,X_28)) != domain(X_28)
| domain(multiplication(one,X_28)) != domain(domain(X_28))
| domain(X_28) = domain(domain(X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_28)),domain(domain(X_28))) ),[0],$fot(domain(X_28))]]) ).
cnf(refute_0_120,plain,
( domain(multiplication(one,X_28)) != domain(domain(X_28))
| domain(X_28) = domain(domain(X_28)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_28)),domain(X_28)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
domain(X_28) = domain(domain(X_28)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_28)),domain(domain(X_28))) )],[refute_0_113,refute_0_120]) ).
cnf(refute_0_122,plain,
( domain(X_28) != domain(domain(X_28))
| domain(domain(X_28)) = domain(X_28) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(X_28))),bind(Y,$fot(domain(domain(X_28))))]]) ).
cnf(refute_0_123,plain,
domain(domain(X_28)) = domain(X_28),
inference(resolve,[$cnf( $equal(domain(X_28),domain(domain(X_28))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
domain(domain(X0)) = domain(X0),
inference(subst,[],[refute_0_123:[bind(X_28,$fot(X0))]]) ).
cnf(refute_0_125,plain,
multiplication(domain(domain(X0)),domain(addition(X0,X1))) = multiplication(domain(domain(X0)),domain(addition(X0,X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X0)),domain(addition(X0,X1))))]]) ).
cnf(refute_0_126,plain,
( domain(domain(X0)) != domain(X0)
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) != multiplication(domain(domain(X0)),domain(addition(X0,X1)))
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) = multiplication(domain(X0),domain(addition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),multiplication(domain(domain(X0)),domain(addition(X0,X1)))) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_127,plain,
( domain(domain(X0)) != domain(X0)
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) = multiplication(domain(X0),domain(addition(X0,X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),multiplication(domain(domain(X0)),domain(addition(X0,X1)))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
multiplication(domain(domain(X0)),domain(addition(X0,X1))) = multiplication(domain(X0),domain(addition(X0,X1))),
inference(resolve,[$cnf( $equal(domain(domain(X0)),domain(X0)) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( multiplication(domain(domain(X0)),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) != multiplication(domain(X0),domain(addition(X0,X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) ),[0],$fot(multiplication(domain(X0),domain(addition(X0,X1))))]]) ).
cnf(refute_0_130,plain,
( multiplication(domain(domain(X0)),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),multiplication(domain(X0),domain(addition(X0,X1)))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_132,plain,
multiplication(domain(X0),one) = domain(X0),
inference(subst,[],[refute_0_131:[bind(A,$fot(domain(X0)))]]) ).
cnf(refute_0_133,plain,
addition(one,domain(X1)) = one,
inference(subst,[],[refute_0_32:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_134,plain,
multiplication(domain(X0),addition(one,domain(X1))) = multiplication(domain(X0),addition(one,domain(X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(X0),addition(one,domain(X1))))]]) ).
cnf(refute_0_135,plain,
( addition(one,domain(X1)) != one
| multiplication(domain(X0),addition(one,domain(X1))) != multiplication(domain(X0),addition(one,domain(X1)))
| multiplication(domain(X0),addition(one,domain(X1))) = multiplication(domain(X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),addition(one,domain(X1))),multiplication(domain(X0),addition(one,domain(X1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_136,plain,
( addition(one,domain(X1)) != one
| multiplication(domain(X0),addition(one,domain(X1))) = multiplication(domain(X0),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,domain(X1))),multiplication(domain(X0),addition(one,domain(X1)))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiplication(domain(X0),addition(one,domain(X1))) = multiplication(domain(X0),one),
inference(resolve,[$cnf( $equal(addition(one,domain(X1)),one) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
( multiplication(domain(X0),addition(one,domain(X1))) != multiplication(domain(X0),one)
| multiplication(domain(X0),one) != domain(X0)
| multiplication(domain(X0),addition(one,domain(X1))) = domain(X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(X0),addition(one,domain(X1))))),bind(Y,$fot(multiplication(domain(X0),one))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_139,plain,
( multiplication(domain(X0),one) != domain(X0)
| multiplication(domain(X0),addition(one,domain(X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,domain(X1))),multiplication(domain(X0),one)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
multiplication(domain(X0),addition(one,domain(X1))) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),one),domain(X0)) )],[refute_0_132,refute_0_139]) ).
cnf(refute_0_141,plain,
multiplication(X_98,addition(X_99,one)) = addition(multiplication(X_98,X_99),multiplication(X_98,one)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_98)),bind(B,$fot(X_99)),bind(C,$fot(one))]]) ).
cnf(refute_0_142,plain,
multiplication(X_98,one) = X_98,
inference(subst,[],[refute_0_131:[bind(A,$fot(X_98))]]) ).
cnf(refute_0_143,plain,
( multiplication(X_98,addition(X_99,one)) != addition(multiplication(X_98,X_99),multiplication(X_98,one))
| multiplication(X_98,one) != X_98
| multiplication(X_98,addition(X_99,one)) = addition(multiplication(X_98,X_99),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_98,addition(X_99,one)),addition(multiplication(X_98,X_99),multiplication(X_98,one))) ),[1,1],$fot(X_98)]]) ).
cnf(refute_0_144,plain,
( multiplication(X_98,addition(X_99,one)) != addition(multiplication(X_98,X_99),multiplication(X_98,one))
| multiplication(X_98,addition(X_99,one)) = addition(multiplication(X_98,X_99),X_98) ),
inference(resolve,[$cnf( $equal(multiplication(X_98,one),X_98) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiplication(X_98,addition(X_99,one)) = addition(multiplication(X_98,X_99),X_98),
inference(resolve,[$cnf( $equal(multiplication(X_98,addition(X_99,one)),addition(multiplication(X_98,X_99),multiplication(X_98,one))) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
addition(multiplication(X_98,X_99),X_98) = addition(X_98,multiplication(X_98,X_99)),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_98)),bind(B,$fot(multiplication(X_98,X_99)))]]) ).
cnf(refute_0_147,plain,
( addition(multiplication(X_98,X_99),X_98) != addition(X_98,multiplication(X_98,X_99))
| multiplication(X_98,addition(X_99,one)) != addition(multiplication(X_98,X_99),X_98)
| multiplication(X_98,addition(X_99,one)) = addition(X_98,multiplication(X_98,X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_98,addition(X_99,one)),addition(multiplication(X_98,X_99),X_98)) ),[1],$fot(addition(X_98,multiplication(X_98,X_99)))]]) ).
cnf(refute_0_148,plain,
( multiplication(X_98,addition(X_99,one)) != addition(multiplication(X_98,X_99),X_98)
| multiplication(X_98,addition(X_99,one)) = addition(X_98,multiplication(X_98,X_99)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_98,X_99),X_98),addition(X_98,multiplication(X_98,X_99))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
multiplication(X_98,addition(X_99,one)) = addition(X_98,multiplication(X_98,X_99)),
inference(resolve,[$cnf( $equal(multiplication(X_98,addition(X_99,one)),addition(multiplication(X_98,X_99),X_98)) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
multiplication(X_101,addition(X_102,one)) = addition(X_101,multiplication(X_101,X_102)),
inference(subst,[],[refute_0_149:[bind(X_98,$fot(X_101)),bind(X_99,$fot(X_102))]]) ).
cnf(refute_0_151,plain,
addition(one,X_102) = addition(X_102,one),
inference(subst,[],[refute_0_11:[bind(A,$fot(one)),bind(B,$fot(X_102))]]) ).
cnf(refute_0_152,plain,
( addition(one,X_102) != addition(X_102,one)
| addition(X_102,one) = addition(one,X_102) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(one,X_102))),bind(Y,$fot(addition(X_102,one)))]]) ).
cnf(refute_0_153,plain,
addition(X_102,one) = addition(one,X_102),
inference(resolve,[$cnf( $equal(addition(one,X_102),addition(X_102,one)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( addition(X_102,one) != addition(one,X_102)
| multiplication(X_101,addition(X_102,one)) != addition(X_101,multiplication(X_101,X_102))
| multiplication(X_101,addition(one,X_102)) = addition(X_101,multiplication(X_101,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_101,addition(X_102,one)),addition(X_101,multiplication(X_101,X_102))) ),[0,1],$fot(addition(one,X_102))]]) ).
cnf(refute_0_155,plain,
( multiplication(X_101,addition(X_102,one)) != addition(X_101,multiplication(X_101,X_102))
| multiplication(X_101,addition(one,X_102)) = addition(X_101,multiplication(X_101,X_102)) ),
inference(resolve,[$cnf( $equal(addition(X_102,one),addition(one,X_102)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiplication(X_101,addition(one,X_102)) = addition(X_101,multiplication(X_101,X_102)),
inference(resolve,[$cnf( $equal(multiplication(X_101,addition(X_102,one)),addition(X_101,multiplication(X_101,X_102))) )],[refute_0_150,refute_0_155]) ).
cnf(refute_0_157,plain,
( multiplication(X_101,addition(one,X_102)) != addition(X_101,multiplication(X_101,X_102))
| addition(X_101,multiplication(X_101,X_102)) = multiplication(X_101,addition(one,X_102)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(X_101,addition(one,X_102)))),bind(Y,$fot(addition(X_101,multiplication(X_101,X_102))))]]) ).
cnf(refute_0_158,plain,
addition(X_101,multiplication(X_101,X_102)) = multiplication(X_101,addition(one,X_102)),
inference(resolve,[$cnf( $equal(multiplication(X_101,addition(one,X_102)),addition(X_101,multiplication(X_101,X_102))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
addition(domain(X0),multiplication(domain(X0),domain(X1))) = multiplication(domain(X0),addition(one,domain(X1))),
inference(subst,[],[refute_0_158:[bind(X_101,$fot(domain(X0))),bind(X_102,$fot(domain(X1)))]]) ).
cnf(refute_0_160,plain,
( addition(domain(X0),multiplication(domain(X0),domain(X1))) != multiplication(domain(X0),addition(one,domain(X1)))
| multiplication(domain(X0),addition(one,domain(X1))) != domain(X0)
| addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(domain(X0),multiplication(domain(X0),domain(X1))))),bind(Y,$fot(multiplication(domain(X0),addition(one,domain(X1))))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_161,plain,
( multiplication(domain(X0),addition(one,domain(X1))) != domain(X0)
| addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(X0),domain(X1))),multiplication(domain(X0),addition(one,domain(X1)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,domain(X1))),domain(X0)) )],[refute_0_140,refute_0_161]) ).
cnf(refute_0_163,plain,
multiplication(domain(domain(X0)),domain(X1)) = multiplication(domain(domain(X0)),domain(X1)),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X0)),domain(X1)))]]) ).
cnf(refute_0_164,plain,
( domain(domain(X0)) != domain(X0)
| multiplication(domain(domain(X0)),domain(X1)) != multiplication(domain(domain(X0)),domain(X1))
| multiplication(domain(domain(X0)),domain(X1)) = multiplication(domain(X0),domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X0)),domain(X1)),multiplication(domain(domain(X0)),domain(X1))) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_165,plain,
( domain(domain(X0)) != domain(X0)
| multiplication(domain(domain(X0)),domain(X1)) = multiplication(domain(X0),domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(X1)),multiplication(domain(domain(X0)),domain(X1))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
multiplication(domain(domain(X0)),domain(X1)) = multiplication(domain(X0),domain(X1)),
inference(resolve,[$cnf( $equal(domain(domain(X0)),domain(X0)) )],[refute_0_124,refute_0_165]) ).
cnf(refute_0_167,plain,
addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
introduced(tautology,[refl,[$fot(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))))]]) ).
cnf(refute_0_168,plain,
( addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(domain(X0)),domain(X1)) != multiplication(domain(X0),domain(X1))
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = addition(domain(X0),multiplication(domain(X0),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) ),[1,1],$fot(multiplication(domain(X0),domain(X1)))]]) ).
cnf(refute_0_169,plain,
( multiplication(domain(domain(X0)),domain(X1)) != multiplication(domain(X0),domain(X1))
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = addition(domain(X0),multiplication(domain(X0),domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(X1)),multiplication(domain(X0),domain(X1))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( addition(domain(X0),multiplication(domain(X0),domain(X1))) != domain(X0)
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) != addition(domain(X0),multiplication(domain(X0),domain(X1)))
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = domain(X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))))),bind(Y,$fot(addition(domain(X0),multiplication(domain(X0),domain(X1))))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_172,plain,
( addition(domain(X0),multiplication(domain(X0),domain(X1))) != domain(X0)
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),addition(domain(X0),multiplication(domain(X0),domain(X1)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = domain(X0),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(X0),domain(X1))),domain(X0)) )],[refute_0_162,refute_0_172]) ).
cnf(refute_0_174,plain,
( addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) != domain(X0)
| multiplication(domain(X0),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),domain(addition(X0,X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) ),[1],$fot(domain(X0))]]) ).
cnf(refute_0_175,plain,
( multiplication(domain(X0),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),domain(X0)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( multiplication(domain(domain(X0)),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),domain(addition(X0,X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) )],[refute_0_130,refute_0_175]) ).
cnf(refute_0_177,plain,
multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) )],[refute_0_108,refute_0_176]) ).
cnf(refute_0_178,plain,
multiplication(domain(X_110),domain(addition(X_110,X_111))) = domain(X_110),
inference(subst,[],[refute_0_177:[bind(X0,$fot(X_110)),bind(X1,$fot(X_111))]]) ).
cnf(refute_0_179,plain,
( domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))) != domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))
| multiplication(domain(X_110),domain(addition(X_110,X_111))) != domain(X_110)
| domain(domain(X_110)) = domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))),domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))) ),[0,0],$fot(domain(X_110))]]) ).
cnf(refute_0_180,plain,
( domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))) != domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))
| domain(domain(X_110)) = domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_110),domain(addition(X_110,X_111))),domain(X_110)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
domain(domain(X_110)) = domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))),domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))) )],[refute_0_94,refute_0_180]) ).
cnf(refute_0_182,plain,
domain(domain(X_110)) = domain(X_110),
inference(subst,[],[refute_0_123:[bind(X_28,$fot(X_110))]]) ).
cnf(refute_0_183,plain,
( domain(domain(X_110)) != domain(X_110)
| domain(domain(X_110)) != domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))
| domain(X_110) = domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_110)),domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))) ),[0],$fot(domain(X_110))]]) ).
cnf(refute_0_184,plain,
( domain(domain(X_110)) != domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))
| domain(X_110) = domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) ),
inference(resolve,[$cnf( $equal(domain(domain(X_110)),domain(X_110)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiplication(domain(X_110),addition(X_110,X_111)) = addition(X_110,multiplication(domain(X_110),X_111)),
inference(subst,[],[refute_0_101:[bind(X_100,$fot(X_111)),bind(X_99,$fot(X_110))]]) ).
cnf(refute_0_186,plain,
domain(multiplication(domain(X_110),addition(X_110,X_111))) = domain(multiplication(domain(X_110),addition(X_110,X_111))),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(X_110),addition(X_110,X_111))))]]) ).
cnf(refute_0_187,plain,
( domain(multiplication(domain(X_110),addition(X_110,X_111))) != domain(multiplication(domain(X_110),addition(X_110,X_111)))
| multiplication(domain(X_110),addition(X_110,X_111)) != addition(X_110,multiplication(domain(X_110),X_111))
| domain(multiplication(domain(X_110),addition(X_110,X_111))) = domain(addition(X_110,multiplication(domain(X_110),X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_110),addition(X_110,X_111))),domain(multiplication(domain(X_110),addition(X_110,X_111)))) ),[1,0],$fot(addition(X_110,multiplication(domain(X_110),X_111)))]]) ).
cnf(refute_0_188,plain,
( multiplication(domain(X_110),addition(X_110,X_111)) != addition(X_110,multiplication(domain(X_110),X_111))
| domain(multiplication(domain(X_110),addition(X_110,X_111))) = domain(addition(X_110,multiplication(domain(X_110),X_111))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_110),addition(X_110,X_111))),domain(multiplication(domain(X_110),addition(X_110,X_111)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
domain(multiplication(domain(X_110),addition(X_110,X_111))) = domain(addition(X_110,multiplication(domain(X_110),X_111))),
inference(resolve,[$cnf( $equal(multiplication(domain(X_110),addition(X_110,X_111)),addition(X_110,multiplication(domain(X_110),X_111))) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
( domain(multiplication(X0,X1)) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(multiplication(X0,X1)))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_191,plain,
domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,X1)),domain(multiplication(X0,domain(X1)))) )],[refute_0_93,refute_0_190]) ).
cnf(refute_0_192,plain,
domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))) = domain(multiplication(domain(X_110),addition(X_110,X_111))),
inference(subst,[],[refute_0_191:[bind(X0,$fot(domain(X_110))),bind(X1,$fot(addition(X_110,X_111)))]]) ).
cnf(refute_0_193,plain,
domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) = domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))),
inference(subst,[],[refute_0_191:[bind(X0,$fot(domain(X_110))),bind(X1,$fot(domain(addition(X_110,X_111))))]]) ).
cnf(refute_0_194,plain,
( domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))) != domain(multiplication(domain(X_110),addition(X_110,X_111)))
| domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) != domain(multiplication(domain(X_110),domain(addition(X_110,X_111))))
| domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) = domain(multiplication(domain(X_110),addition(X_110,X_111))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))))),bind(Y,$fot(domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))))),bind(Z,$fot(domain(multiplication(domain(X_110),addition(X_110,X_111)))))]]) ).
cnf(refute_0_195,plain,
( domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))) != domain(multiplication(domain(X_110),addition(X_110,X_111)))
| domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) = domain(multiplication(domain(X_110),addition(X_110,X_111))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))),domain(multiplication(domain(X_110),domain(addition(X_110,X_111))))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) = domain(multiplication(domain(X_110),addition(X_110,X_111))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_110),domain(addition(X_110,X_111)))),domain(multiplication(domain(X_110),addition(X_110,X_111)))) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
( domain(multiplication(domain(X_110),addition(X_110,X_111))) != domain(addition(X_110,multiplication(domain(X_110),X_111)))
| domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) != domain(multiplication(domain(X_110),addition(X_110,X_111)))
| domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) = domain(addition(X_110,multiplication(domain(X_110),X_111))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))))),bind(Y,$fot(domain(multiplication(domain(X_110),addition(X_110,X_111))))),bind(Z,$fot(domain(addition(X_110,multiplication(domain(X_110),X_111)))))]]) ).
cnf(refute_0_198,plain,
( domain(multiplication(domain(X_110),addition(X_110,X_111))) != domain(addition(X_110,multiplication(domain(X_110),X_111)))
| domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) = domain(addition(X_110,multiplication(domain(X_110),X_111))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))),domain(multiplication(domain(X_110),addition(X_110,X_111)))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) = domain(addition(X_110,multiplication(domain(X_110),X_111))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_110),addition(X_110,X_111))),domain(addition(X_110,multiplication(domain(X_110),X_111)))) )],[refute_0_189,refute_0_198]) ).
cnf(refute_0_200,plain,
( domain(X_110) != domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))
| domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))) != domain(addition(X_110,multiplication(domain(X_110),X_111)))
| domain(X_110) = domain(addition(X_110,multiplication(domain(X_110),X_111))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(X_110),domain(addition(X_110,multiplication(domain(X_110),X_111)))) ),[0],$fot(domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))))]]) ).
cnf(refute_0_201,plain,
( domain(X_110) != domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))
| domain(X_110) = domain(addition(X_110,multiplication(domain(X_110),X_111))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111))))),domain(addition(X_110,multiplication(domain(X_110),X_111)))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( domain(domain(X_110)) != domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))
| domain(X_110) = domain(addition(X_110,multiplication(domain(X_110),X_111))) ),
inference(resolve,[$cnf( $equal(domain(X_110),domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))) )],[refute_0_184,refute_0_201]) ).
cnf(refute_0_203,plain,
domain(X_110) = domain(addition(X_110,multiplication(domain(X_110),X_111))),
inference(resolve,[$cnf( $equal(domain(domain(X_110)),domain(multiplication(domain(X_110),domain(domain(addition(X_110,X_111)))))) )],[refute_0_181,refute_0_202]) ).
cnf(refute_0_204,plain,
( domain(X_110) != domain(addition(X_110,multiplication(domain(X_110),X_111)))
| domain(addition(X_110,multiplication(domain(X_110),X_111))) = domain(X_110) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(X_110))),bind(Y,$fot(domain(addition(X_110,multiplication(domain(X_110),X_111)))))]]) ).
cnf(refute_0_205,plain,
domain(addition(X_110,multiplication(domain(X_110),X_111))) = domain(X_110),
inference(resolve,[$cnf( $equal(domain(X_110),domain(addition(X_110,multiplication(domain(X_110),X_111)))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
domain(addition(X0,multiplication(domain(X0),X_247))) = domain(X0),
inference(subst,[],[refute_0_205:[bind(X_110,$fot(X0)),bind(X_111,$fot(X_247))]]) ).
cnf(refute_0_207,plain,
addition(domain(X0),domain(multiplication(domain(X0),X_247))) = domain(addition(X0,multiplication(domain(X0),X_247))),
inference(subst,[],[refute_0_105:[bind(X1,$fot(multiplication(domain(X0),X_247)))]]) ).
cnf(refute_0_208,plain,
( addition(domain(X0),domain(multiplication(domain(X0),X_247))) != domain(addition(X0,multiplication(domain(X0),X_247)))
| domain(addition(X0,multiplication(domain(X0),X_247))) != domain(X0)
| addition(domain(X0),domain(multiplication(domain(X0),X_247))) = domain(X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(domain(X0),domain(multiplication(domain(X0),X_247))))),bind(Y,$fot(domain(addition(X0,multiplication(domain(X0),X_247))))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_209,plain,
( domain(addition(X0,multiplication(domain(X0),X_247))) != domain(X0)
| addition(domain(X0),domain(multiplication(domain(X0),X_247))) = domain(X0) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(multiplication(domain(X0),X_247))),domain(addition(X0,multiplication(domain(X0),X_247)))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
addition(domain(X0),domain(multiplication(domain(X0),X_247))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(addition(X0,multiplication(domain(X0),X_247))),domain(X0)) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247) = multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247),
introduced(tautology,[refl,[$fot(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247))]]) ).
cnf(refute_0_212,plain,
( addition(domain(X0),domain(multiplication(domain(X0),X_247))) != domain(X0)
| multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247) != multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247)
| multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247) = multiplication(domain(X0),X_247) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247),multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247)) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_213,plain,
( addition(domain(X0),domain(multiplication(domain(X0),X_247))) != domain(X0)
| multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247) = multiplication(domain(X0),X_247) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247),multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247) = multiplication(domain(X0),X_247),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(multiplication(domain(X0),X_247))),domain(X0)) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)) = multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247),
inference(subst,[],[refute_0_50:[bind(A,$fot(domain(X0))),bind(B,$fot(domain(multiplication(domain(X0),X_247)))),bind(C,$fot(X_247))]]) ).
cnf(refute_0_216,plain,
( addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)) != multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247)
| multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247) != multiplication(domain(X0),X_247)
| addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)) = multiplication(domain(X0),X_247) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)))),bind(Y,$fot(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247))),bind(Z,$fot(multiplication(domain(X0),X_247)))]]) ).
cnf(refute_0_217,plain,
( multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247) != multiplication(domain(X0),X_247)
| addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)) = multiplication(domain(X0),X_247) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)),multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)) = multiplication(domain(X0),X_247),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),domain(multiplication(domain(X0),X_247))),X_247),multiplication(domain(X0),X_247)) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
( addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)) != multiplication(domain(X0),X_247)
| multiplication(domain(multiplication(domain(X0),X_247)),X_247) != addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247))
| multiplication(domain(multiplication(domain(X0),X_247)),X_247) = multiplication(domain(X0),X_247) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_247)),X_247),addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247))) ),[1],$fot(multiplication(domain(X0),X_247))]]) ).
cnf(refute_0_220,plain,
( multiplication(domain(multiplication(domain(X0),X_247)),X_247) != addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247))
| multiplication(domain(multiplication(domain(X0),X_247)),X_247) = multiplication(domain(X0),X_247) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247)),multiplication(domain(X0),X_247)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiplication(domain(multiplication(domain(X0),X_247)),X_247) = multiplication(domain(X0),X_247),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_247)),X_247),addition(multiplication(domain(X0),X_247),multiplication(domain(multiplication(domain(X0),X_247)),X_247))) )],[refute_0_92,refute_0_220]) ).
cnf(refute_0_222,plain,
multiplication(domain(multiplication(domain(X_801),domain(X1))),domain(X1)) = multiplication(domain(X_801),domain(X1)),
inference(subst,[],[refute_0_221:[bind(X0,$fot(X_801)),bind(X_247,$fot(domain(X1)))]]) ).
cnf(refute_0_223,plain,
domain(multiplication(domain(X_801),X1)) = domain(multiplication(domain(X_801),domain(X1))),
inference(subst,[],[refute_0_93:[bind(X0,$fot(domain(X_801)))]]) ).
cnf(refute_0_224,plain,
( domain(multiplication(domain(X_801),X1)) != domain(multiplication(domain(X_801),domain(X1)))
| domain(multiplication(domain(X_801),domain(X1))) = domain(multiplication(domain(X_801),X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(multiplication(domain(X_801),X1)))),bind(Y,$fot(domain(multiplication(domain(X_801),domain(X1)))))]]) ).
cnf(refute_0_225,plain,
domain(multiplication(domain(X_801),domain(X1))) = domain(multiplication(domain(X_801),X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_801),X1)),domain(multiplication(domain(X_801),domain(X1)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( domain(multiplication(domain(X_801),domain(X1))) != domain(multiplication(domain(X_801),X1))
| multiplication(domain(multiplication(domain(X_801),domain(X1))),domain(X1)) != multiplication(domain(X_801),domain(X1))
| multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)) = multiplication(domain(X_801),domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_801),domain(X1))),domain(X1)),multiplication(domain(X_801),domain(X1))) ),[0,0],$fot(domain(multiplication(domain(X_801),X1)))]]) ).
cnf(refute_0_227,plain,
( multiplication(domain(multiplication(domain(X_801),domain(X1))),domain(X1)) != multiplication(domain(X_801),domain(X1))
| multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)) = multiplication(domain(X_801),domain(X1)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_801),domain(X1))),domain(multiplication(domain(X_801),X1))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)) = multiplication(domain(X_801),domain(X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_801),domain(X1))),domain(X1)),multiplication(domain(X_801),domain(X1))) )],[refute_0_222,refute_0_227]) ).
cnf(refute_0_229,plain,
addition(X_111,X_110) = addition(X_110,X_111),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_111)),bind(B,$fot(X_110))]]) ).
cnf(refute_0_230,plain,
( addition(X_111,X_110) != addition(X_110,X_111)
| addition(X_110,X_111) = addition(X_111,X_110) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_111,X_110))),bind(Y,$fot(addition(X_110,X_111)))]]) ).
cnf(refute_0_231,plain,
addition(X_110,X_111) = addition(X_111,X_110),
inference(resolve,[$cnf( $equal(addition(X_111,X_110),addition(X_110,X_111)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
( addition(X_110,X_111) != addition(X_111,X_110)
| multiplication(domain(X_110),domain(addition(X_110,X_111))) != domain(X_110)
| multiplication(domain(X_110),domain(addition(X_111,X_110))) = domain(X_110) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_110),domain(addition(X_110,X_111))),domain(X_110)) ),[0,1,0],$fot(addition(X_111,X_110))]]) ).
cnf(refute_0_233,plain,
( multiplication(domain(X_110),domain(addition(X_110,X_111))) != domain(X_110)
| multiplication(domain(X_110),domain(addition(X_111,X_110))) = domain(X_110) ),
inference(resolve,[$cnf( $equal(addition(X_110,X_111),addition(X_111,X_110)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiplication(domain(X_110),domain(addition(X_111,X_110))) = domain(X_110),
inference(resolve,[$cnf( $equal(multiplication(domain(X_110),domain(addition(X_110,X_111))),domain(X_110)) )],[refute_0_178,refute_0_233]) ).
cnf(refute_0_235,plain,
multiplication(domain(multiplication(domain(X0),X_218)),domain(addition(X_218,multiplication(domain(X0),X_218)))) = domain(multiplication(domain(X0),X_218)),
inference(subst,[],[refute_0_234:[bind(X_110,$fot(multiplication(domain(X0),X_218))),bind(X_111,$fot(X_218))]]) ).
cnf(refute_0_236,plain,
X_218 = addition(X_218,multiplication(domain(X0),X_218)),
inference(subst,[],[refute_0_86:[bind(X_63,$fot(X_218))]]) ).
cnf(refute_0_237,plain,
( X_218 != addition(X_218,multiplication(domain(X0),X_218))
| addition(X_218,multiplication(domain(X0),X_218)) = X_218 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_218)),bind(Y,$fot(addition(X_218,multiplication(domain(X0),X_218))))]]) ).
cnf(refute_0_238,plain,
addition(X_218,multiplication(domain(X0),X_218)) = X_218,
inference(resolve,[$cnf( $equal(X_218,addition(X_218,multiplication(domain(X0),X_218))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
( addition(X_218,multiplication(domain(X0),X_218)) != X_218
| multiplication(domain(multiplication(domain(X0),X_218)),domain(addition(X_218,multiplication(domain(X0),X_218)))) != domain(multiplication(domain(X0),X_218))
| multiplication(domain(multiplication(domain(X0),X_218)),domain(X_218)) = domain(multiplication(domain(X0),X_218)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_218)),domain(addition(X_218,multiplication(domain(X0),X_218)))),domain(multiplication(domain(X0),X_218))) ),[0,1,0],$fot(X_218)]]) ).
cnf(refute_0_240,plain,
( multiplication(domain(multiplication(domain(X0),X_218)),domain(addition(X_218,multiplication(domain(X0),X_218)))) != domain(multiplication(domain(X0),X_218))
| multiplication(domain(multiplication(domain(X0),X_218)),domain(X_218)) = domain(multiplication(domain(X0),X_218)) ),
inference(resolve,[$cnf( $equal(addition(X_218,multiplication(domain(X0),X_218)),X_218) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiplication(domain(multiplication(domain(X0),X_218)),domain(X_218)) = domain(multiplication(domain(X0),X_218)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X0),X_218)),domain(addition(X_218,multiplication(domain(X0),X_218)))),domain(multiplication(domain(X0),X_218))) )],[refute_0_235,refute_0_240]) ).
cnf(refute_0_242,plain,
multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)) = domain(multiplication(domain(X_801),X1)),
inference(subst,[],[refute_0_241:[bind(X0,$fot(X_801)),bind(X_218,$fot(X1))]]) ).
cnf(refute_0_243,plain,
( multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)) != domain(multiplication(domain(X_801),X1))
| multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)) != multiplication(domain(X_801),domain(X1))
| domain(multiplication(domain(X_801),X1)) = multiplication(domain(X_801),domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)),multiplication(domain(X_801),domain(X1))) ),[0],$fot(domain(multiplication(domain(X_801),X1)))]]) ).
cnf(refute_0_244,plain,
( multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)) != multiplication(domain(X_801),domain(X1))
| domain(multiplication(domain(X_801),X1)) = multiplication(domain(X_801),domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)),domain(multiplication(domain(X_801),X1))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
domain(multiplication(domain(X_801),X1)) = multiplication(domain(X_801),domain(X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_801),X1)),domain(X1)),multiplication(domain(X_801),domain(X1))) )],[refute_0_228,refute_0_244]) ).
cnf(refute_0_246,plain,
( domain(multiplication(domain(X_801),X1)) != multiplication(domain(X_801),domain(X1))
| multiplication(domain(X_801),domain(X1)) = domain(multiplication(domain(X_801),X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(multiplication(domain(X_801),X1)))),bind(Y,$fot(multiplication(domain(X_801),domain(X1))))]]) ).
cnf(refute_0_247,plain,
multiplication(domain(X_801),domain(X1)) = domain(multiplication(domain(X_801),X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_801),X1)),multiplication(domain(X_801),domain(X1))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_247:[bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X_801,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_249,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))
| multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))) ),[1],$fot(multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_250,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))
| multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) = domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_247:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_801,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_252,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))
| multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) != domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))
| domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))) ),[1],$fot(domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_253,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))
| domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)),domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))
| multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))) )],[refute_0_253,refute_0_250]) ).
cnf(refute_0_255,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))) )],[refute_0_254,refute_0_0]) ).
cnf(refute_0_256,plain,
multiplication(domain(multiplication(domain(X_111),X_785)),domain(addition(X_111,multiplication(domain(X_111),X_785)))) = domain(multiplication(domain(X_111),X_785)),
inference(subst,[],[refute_0_234:[bind(X_110,$fot(multiplication(domain(X_111),X_785)))]]) ).
cnf(refute_0_257,plain,
domain(X_111) = domain(addition(X_111,multiplication(domain(X_111),X_785))),
inference(subst,[],[refute_0_203:[bind(X_110,$fot(X_111)),bind(X_111,$fot(X_785))]]) ).
cnf(refute_0_258,plain,
( domain(X_111) != domain(addition(X_111,multiplication(domain(X_111),X_785)))
| domain(addition(X_111,multiplication(domain(X_111),X_785))) = domain(X_111) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(X_111))),bind(Y,$fot(domain(addition(X_111,multiplication(domain(X_111),X_785)))))]]) ).
cnf(refute_0_259,plain,
domain(addition(X_111,multiplication(domain(X_111),X_785))) = domain(X_111),
inference(resolve,[$cnf( $equal(domain(X_111),domain(addition(X_111,multiplication(domain(X_111),X_785)))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
( domain(addition(X_111,multiplication(domain(X_111),X_785))) != domain(X_111)
| multiplication(domain(multiplication(domain(X_111),X_785)),domain(addition(X_111,multiplication(domain(X_111),X_785)))) != domain(multiplication(domain(X_111),X_785))
| multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)) = domain(multiplication(domain(X_111),X_785)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_111),X_785)),domain(addition(X_111,multiplication(domain(X_111),X_785)))),domain(multiplication(domain(X_111),X_785))) ),[0,1],$fot(domain(X_111))]]) ).
cnf(refute_0_261,plain,
( multiplication(domain(multiplication(domain(X_111),X_785)),domain(addition(X_111,multiplication(domain(X_111),X_785)))) != domain(multiplication(domain(X_111),X_785))
| multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)) = domain(multiplication(domain(X_111),X_785)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_111,multiplication(domain(X_111),X_785))),domain(X_111)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)) = domain(multiplication(domain(X_111),X_785)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_111),X_785)),domain(addition(X_111,multiplication(domain(X_111),X_785)))),domain(multiplication(domain(X_111),X_785))) )],[refute_0_256,refute_0_261]) ).
cnf(refute_0_263,plain,
multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)) = domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)),
inference(subst,[],[refute_0_247:[bind(X1,$fot(X_111)),bind(X_801,$fot(multiplication(domain(X_111),X_785)))]]) ).
cnf(refute_0_264,plain,
( multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)) != domain(multiplication(domain(X_111),X_785))
| multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)) != domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111))
| domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) = domain(multiplication(domain(X_111),X_785)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)),domain(multiplication(domain(X_111),X_785))) ),[0],$fot(domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)))]]) ).
cnf(refute_0_265,plain,
( multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)) != domain(multiplication(domain(X_111),X_785))
| domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) = domain(multiplication(domain(X_111),X_785)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)),domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) = domain(multiplication(domain(X_111),X_785)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_111),X_785)),domain(X_111)),domain(multiplication(domain(X_111),X_785))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
multiplication(addition(domain(C),B),C) = addition(multiplication(domain(C),C),multiplication(B,C)),
inference(subst,[],[refute_0_4:[bind(A,$fot(domain(C)))]]) ).
cnf(refute_0_268,plain,
C = multiplication(domain(C),C),
inference(subst,[],[refute_0_63:[bind(X0,$fot(C))]]) ).
cnf(refute_0_269,plain,
( C != multiplication(domain(C),C)
| multiplication(domain(C),C) = C ),
inference(subst,[],[refute_0_14:[bind(X,$fot(C)),bind(Y,$fot(multiplication(domain(C),C)))]]) ).
cnf(refute_0_270,plain,
multiplication(domain(C),C) = C,
inference(resolve,[$cnf( $equal(C,multiplication(domain(C),C)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( multiplication(addition(domain(C),B),C) != addition(multiplication(domain(C),C),multiplication(B,C))
| multiplication(domain(C),C) != C
| multiplication(addition(domain(C),B),C) = addition(C,multiplication(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(C),B),C),addition(multiplication(domain(C),C),multiplication(B,C))) ),[1,0],$fot(C)]]) ).
cnf(refute_0_272,plain,
( multiplication(addition(domain(C),B),C) != addition(multiplication(domain(C),C),multiplication(B,C))
| multiplication(addition(domain(C),B),C) = addition(C,multiplication(B,C)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(C),C),C) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
multiplication(addition(domain(C),B),C) = addition(C,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(C),B),C),addition(multiplication(domain(C),C),multiplication(B,C))) )],[refute_0_267,refute_0_272]) ).
cnf(refute_0_274,plain,
multiplication(addition(domain(X_145),domain(X1)),X_145) = addition(X_145,multiplication(domain(X1),X_145)),
inference(subst,[],[refute_0_273:[bind(B,$fot(domain(X1))),bind(C,$fot(X_145))]]) ).
cnf(refute_0_275,plain,
domain(addition(X_145,X1)) = addition(domain(X_145),domain(X1)),
inference(subst,[],[refute_0_103:[bind(X0,$fot(X_145))]]) ).
cnf(refute_0_276,plain,
( domain(addition(X_145,X1)) != addition(domain(X_145),domain(X1))
| addition(domain(X_145),domain(X1)) = domain(addition(X_145,X1)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(addition(X_145,X1)))),bind(Y,$fot(addition(domain(X_145),domain(X1))))]]) ).
cnf(refute_0_277,plain,
addition(domain(X_145),domain(X1)) = domain(addition(X_145,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_145,X1)),addition(domain(X_145),domain(X1))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( addition(domain(X_145),domain(X1)) != domain(addition(X_145,X1))
| multiplication(addition(domain(X_145),domain(X1)),X_145) != addition(X_145,multiplication(domain(X1),X_145))
| multiplication(domain(addition(X_145,X1)),X_145) = addition(X_145,multiplication(domain(X1),X_145)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_145),domain(X1)),X_145),addition(X_145,multiplication(domain(X1),X_145))) ),[0,0],$fot(domain(addition(X_145,X1)))]]) ).
cnf(refute_0_279,plain,
( multiplication(addition(domain(X_145),domain(X1)),X_145) != addition(X_145,multiplication(domain(X1),X_145))
| multiplication(domain(addition(X_145,X1)),X_145) = addition(X_145,multiplication(domain(X1),X_145)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_145),domain(X1)),domain(addition(X_145,X1))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiplication(domain(addition(X_145,X1)),X_145) = addition(X_145,multiplication(domain(X1),X_145)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_145),domain(X1)),X_145),addition(X_145,multiplication(domain(X1),X_145))) )],[refute_0_274,refute_0_279]) ).
cnf(refute_0_281,plain,
( X_63 != addition(X_63,multiplication(domain(X0),X_63))
| addition(X_63,multiplication(domain(X0),X_63)) = X_63 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_63)),bind(Y,$fot(addition(X_63,multiplication(domain(X0),X_63))))]]) ).
cnf(refute_0_282,plain,
addition(X_63,multiplication(domain(X0),X_63)) = X_63,
inference(resolve,[$cnf( $equal(X_63,addition(X_63,multiplication(domain(X0),X_63))) )],[refute_0_86,refute_0_281]) ).
cnf(refute_0_283,plain,
addition(X_145,multiplication(domain(X1),X_145)) = X_145,
inference(subst,[],[refute_0_282:[bind(X0,$fot(X1)),bind(X_63,$fot(X_145))]]) ).
cnf(refute_0_284,plain,
( addition(X_145,multiplication(domain(X1),X_145)) != X_145
| multiplication(domain(addition(X_145,X1)),X_145) != addition(X_145,multiplication(domain(X1),X_145))
| multiplication(domain(addition(X_145,X1)),X_145) = X_145 ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_145,X1)),X_145),addition(X_145,multiplication(domain(X1),X_145))) ),[1],$fot(X_145)]]) ).
cnf(refute_0_285,plain,
( multiplication(domain(addition(X_145,X1)),X_145) != addition(X_145,multiplication(domain(X1),X_145))
| multiplication(domain(addition(X_145,X1)),X_145) = X_145 ),
inference(resolve,[$cnf( $equal(addition(X_145,multiplication(domain(X1),X_145)),X_145) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiplication(domain(addition(X_145,X1)),X_145) = X_145,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_145,X1)),X_145),addition(X_145,multiplication(domain(X1),X_145))) )],[refute_0_280,refute_0_285]) ).
cnf(refute_0_287,plain,
multiplication(domain(addition(X_147,X_146)),X_147) = X_147,
inference(subst,[],[refute_0_286:[bind(X1,$fot(X_146)),bind(X_145,$fot(X_147))]]) ).
cnf(refute_0_288,plain,
addition(X_146,X_147) = addition(X_147,X_146),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_146)),bind(B,$fot(X_147))]]) ).
cnf(refute_0_289,plain,
( addition(X_146,X_147) != addition(X_147,X_146)
| addition(X_147,X_146) = addition(X_146,X_147) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(addition(X_146,X_147))),bind(Y,$fot(addition(X_147,X_146)))]]) ).
cnf(refute_0_290,plain,
addition(X_147,X_146) = addition(X_146,X_147),
inference(resolve,[$cnf( $equal(addition(X_146,X_147),addition(X_147,X_146)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
( addition(X_147,X_146) != addition(X_146,X_147)
| multiplication(domain(addition(X_147,X_146)),X_147) != X_147
| multiplication(domain(addition(X_146,X_147)),X_147) = X_147 ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_147,X_146)),X_147),X_147) ),[0,0,0],$fot(addition(X_146,X_147))]]) ).
cnf(refute_0_292,plain,
( multiplication(domain(addition(X_147,X_146)),X_147) != X_147
| multiplication(domain(addition(X_146,X_147)),X_147) = X_147 ),
inference(resolve,[$cnf( $equal(addition(X_147,X_146),addition(X_146,X_147)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
multiplication(domain(addition(X_146,X_147)),X_147) = X_147,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_147,X_146)),X_147),X_147) )],[refute_0_287,refute_0_292]) ).
cnf(refute_0_294,plain,
multiplication(domain(addition(X_188,multiplication(domain(X0),X_188))),multiplication(domain(X0),X_188)) = multiplication(domain(X0),X_188),
inference(subst,[],[refute_0_293:[bind(X_146,$fot(X_188)),bind(X_147,$fot(multiplication(domain(X0),X_188)))]]) ).
cnf(refute_0_295,plain,
X_188 = addition(X_188,multiplication(domain(X0),X_188)),
inference(subst,[],[refute_0_86:[bind(X_63,$fot(X_188))]]) ).
cnf(refute_0_296,plain,
( X_188 != addition(X_188,multiplication(domain(X0),X_188))
| addition(X_188,multiplication(domain(X0),X_188)) = X_188 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_188)),bind(Y,$fot(addition(X_188,multiplication(domain(X0),X_188))))]]) ).
cnf(refute_0_297,plain,
addition(X_188,multiplication(domain(X0),X_188)) = X_188,
inference(resolve,[$cnf( $equal(X_188,addition(X_188,multiplication(domain(X0),X_188))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
( addition(X_188,multiplication(domain(X0),X_188)) != X_188
| multiplication(domain(addition(X_188,multiplication(domain(X0),X_188))),multiplication(domain(X0),X_188)) != multiplication(domain(X0),X_188)
| multiplication(domain(X_188),multiplication(domain(X0),X_188)) = multiplication(domain(X0),X_188) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_188,multiplication(domain(X0),X_188))),multiplication(domain(X0),X_188)),multiplication(domain(X0),X_188)) ),[0,0,0],$fot(X_188)]]) ).
cnf(refute_0_299,plain,
( multiplication(domain(addition(X_188,multiplication(domain(X0),X_188))),multiplication(domain(X0),X_188)) != multiplication(domain(X0),X_188)
| multiplication(domain(X_188),multiplication(domain(X0),X_188)) = multiplication(domain(X0),X_188) ),
inference(resolve,[$cnf( $equal(addition(X_188,multiplication(domain(X0),X_188)),X_188) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiplication(domain(X_188),multiplication(domain(X0),X_188)) = multiplication(domain(X0),X_188),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_188,multiplication(domain(X0),X_188))),multiplication(domain(X0),X_188)),multiplication(domain(X0),X_188)) )],[refute_0_294,refute_0_299]) ).
cnf(refute_0_301,plain,
multiplication(domain(X_111),multiplication(domain(X_785),X_111)) = multiplication(domain(X_785),X_111),
inference(subst,[],[refute_0_300:[bind(X0,$fot(X_785)),bind(X_188,$fot(X_111))]]) ).
cnf(refute_0_302,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_303,plain,
multiplication(domain(X_804),multiplication(domain(X_803),C)) = multiplication(multiplication(domain(X_804),domain(X_803)),C),
inference(subst,[],[refute_0_302:[bind(A,$fot(domain(X_804))),bind(B,$fot(domain(X_803)))]]) ).
cnf(refute_0_304,plain,
domain(multiplication(domain(X_804),X_803)) = multiplication(domain(X_804),domain(X_803)),
inference(subst,[],[refute_0_245:[bind(X1,$fot(X_803)),bind(X_801,$fot(X_804))]]) ).
cnf(refute_0_305,plain,
( domain(multiplication(domain(X_804),X_803)) != multiplication(domain(X_804),domain(X_803))
| multiplication(domain(X_804),domain(X_803)) = domain(multiplication(domain(X_804),X_803)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(multiplication(domain(X_804),X_803)))),bind(Y,$fot(multiplication(domain(X_804),domain(X_803))))]]) ).
cnf(refute_0_306,plain,
multiplication(domain(X_804),domain(X_803)) = domain(multiplication(domain(X_804),X_803)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_804),X_803)),multiplication(domain(X_804),domain(X_803))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiplication(domain(X_804),domain(X_803)) != domain(multiplication(domain(X_804),X_803))
| multiplication(domain(X_804),multiplication(domain(X_803),C)) != multiplication(multiplication(domain(X_804),domain(X_803)),C)
| multiplication(domain(X_804),multiplication(domain(X_803),C)) = multiplication(domain(multiplication(domain(X_804),X_803)),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_804),multiplication(domain(X_803),C)),multiplication(multiplication(domain(X_804),domain(X_803)),C)) ),[1,0],$fot(domain(multiplication(domain(X_804),X_803)))]]) ).
cnf(refute_0_308,plain,
( multiplication(domain(X_804),multiplication(domain(X_803),C)) != multiplication(multiplication(domain(X_804),domain(X_803)),C)
| multiplication(domain(X_804),multiplication(domain(X_803),C)) = multiplication(domain(multiplication(domain(X_804),X_803)),C) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_804),domain(X_803)),domain(multiplication(domain(X_804),X_803))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiplication(domain(X_804),multiplication(domain(X_803),C)) = multiplication(domain(multiplication(domain(X_804),X_803)),C),
inference(resolve,[$cnf( $equal(multiplication(domain(X_804),multiplication(domain(X_803),C)),multiplication(multiplication(domain(X_804),domain(X_803)),C)) )],[refute_0_303,refute_0_308]) ).
cnf(refute_0_310,plain,
( multiplication(domain(X_804),multiplication(domain(X_803),C)) != multiplication(domain(multiplication(domain(X_804),X_803)),C)
| multiplication(domain(multiplication(domain(X_804),X_803)),C) = multiplication(domain(X_804),multiplication(domain(X_803),C)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(multiplication(domain(X_804),multiplication(domain(X_803),C)))),bind(Y,$fot(multiplication(domain(multiplication(domain(X_804),X_803)),C)))]]) ).
cnf(refute_0_311,plain,
multiplication(domain(multiplication(domain(X_804),X_803)),C) = multiplication(domain(X_804),multiplication(domain(X_803),C)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_804),multiplication(domain(X_803),C)),multiplication(domain(multiplication(domain(X_804),X_803)),C)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
multiplication(domain(multiplication(domain(X_111),X_785)),X_111) = multiplication(domain(X_111),multiplication(domain(X_785),X_111)),
inference(subst,[],[refute_0_311:[bind(C,$fot(X_111)),bind(X_803,$fot(X_785)),bind(X_804,$fot(X_111))]]) ).
cnf(refute_0_313,plain,
( multiplication(domain(X_111),multiplication(domain(X_785),X_111)) != multiplication(domain(X_785),X_111)
| multiplication(domain(multiplication(domain(X_111),X_785)),X_111) != multiplication(domain(X_111),multiplication(domain(X_785),X_111))
| multiplication(domain(multiplication(domain(X_111),X_785)),X_111) = multiplication(domain(X_785),X_111) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiplication(domain(multiplication(domain(X_111),X_785)),X_111))),bind(Y,$fot(multiplication(domain(X_111),multiplication(domain(X_785),X_111)))),bind(Z,$fot(multiplication(domain(X_785),X_111)))]]) ).
cnf(refute_0_314,plain,
( multiplication(domain(X_111),multiplication(domain(X_785),X_111)) != multiplication(domain(X_785),X_111)
| multiplication(domain(multiplication(domain(X_111),X_785)),X_111) = multiplication(domain(X_785),X_111) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_111),X_785)),X_111),multiplication(domain(X_111),multiplication(domain(X_785),X_111))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
multiplication(domain(multiplication(domain(X_111),X_785)),X_111) = multiplication(domain(X_785),X_111),
inference(resolve,[$cnf( $equal(multiplication(domain(X_111),multiplication(domain(X_785),X_111)),multiplication(domain(X_785),X_111)) )],[refute_0_301,refute_0_314]) ).
cnf(refute_0_316,plain,
domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) = domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)))]]) ).
cnf(refute_0_317,plain,
( domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) != domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111))
| multiplication(domain(multiplication(domain(X_111),X_785)),X_111) != multiplication(domain(X_785),X_111)
| domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) = domain(multiplication(domain(X_785),X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)),domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111))) ),[1,0],$fot(multiplication(domain(X_785),X_111))]]) ).
cnf(refute_0_318,plain,
( multiplication(domain(multiplication(domain(X_111),X_785)),X_111) != multiplication(domain(X_785),X_111)
| domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) = domain(multiplication(domain(X_785),X_111)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)),domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) = domain(multiplication(domain(X_785),X_111)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_111),X_785)),X_111),multiplication(domain(X_785),X_111)) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
( domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) != domain(multiplication(domain(X_111),X_785))
| domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) != domain(multiplication(domain(X_785),X_111))
| domain(multiplication(domain(X_785),X_111)) = domain(multiplication(domain(X_111),X_785)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)),domain(multiplication(domain(X_111),X_785))) ),[0],$fot(domain(multiplication(domain(X_785),X_111)))]]) ).
cnf(refute_0_321,plain,
( domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)) != domain(multiplication(domain(X_111),X_785))
| domain(multiplication(domain(X_785),X_111)) = domain(multiplication(domain(X_111),X_785)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)),domain(multiplication(domain(X_785),X_111))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
domain(multiplication(domain(X_785),X_111)) = domain(multiplication(domain(X_111),X_785)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(multiplication(domain(X_111),X_785)),X_111)),domain(multiplication(domain(X_111),X_785))) )],[refute_0_266,refute_0_321]) ).
cnf(refute_0_323,plain,
( domain(multiplication(domain(X_785),X_111)) != domain(multiplication(domain(X_111),X_785))
| domain(multiplication(domain(X_111),X_785)) = domain(multiplication(domain(X_785),X_111)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(domain(multiplication(domain(X_785),X_111)))),bind(Y,$fot(domain(multiplication(domain(X_111),X_785))))]]) ).
cnf(refute_0_324,plain,
domain(multiplication(domain(X_111),X_785)) = domain(multiplication(domain(X_785),X_111)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_785),X_111)),domain(multiplication(domain(X_111),X_785))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) = domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_324:[bind(X_111,$fot(skolemFOFtoCNF_X1)),bind(X_785,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_326,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) ),[1],$fot(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_327,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),domain(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) )],[refute_0_327,refute_0_255]) ).
cnf(refute_0_329,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_330,plain,
$false,
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))) )],[refute_0_329,refute_0_328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE062+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 13:35:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 64.46/64.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.46/64.63
% 64.46/64.63 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 64.46/64.65
%------------------------------------------------------------------------------