TSTP Solution File: KLE091+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE091+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 02:15:13 EDT 2022
% Result : Theorem 1.69s 1.88s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 149
% Syntax : Number of formulae : 630 ( 349 unt; 0 def)
% Number of atoms : 1035 (1034 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 816 ( 411 ~; 405 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 865 ( 15 sgn 81 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(domain1,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero ).
fof(domain2,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ).
fof(domain3,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one ).
fof(domain4,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)) ).
fof(codomain1,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero ).
fof(codomain3,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one ).
fof(codomain4,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)) ).
fof(goals,conjecture,
! [X0] : domain(codomain(X0)) = codomain(X0) ).
fof(subgoal_0,plain,
! [X0] : domain(codomain(X0)) = codomain(X0),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : domain(codomain(X0)) = codomain(X0),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : domain(codomain(X0)) != codomain(X0),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
domain(codomain(skolemFOFtoCNF_X0)) != codomain(skolemFOFtoCNF_X0),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_3,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_5,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_7,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_9,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[codomain3]) ).
fof(normalize_0_11,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_13,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[codomain4]) ).
fof(normalize_0_15,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_17,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_19,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_21,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[codomain1]) ).
fof(normalize_0_23,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_25,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_27,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_29,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_31,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_33,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_32]) ).
cnf(refute_0_0,plain,
domain(codomain(skolemFOFtoCNF_X0)) != codomain(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
domain(codomain(X_384)) = antidomain(antidomain(codomain(X_384))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(codomain(X_384)))]]) ).
cnf(refute_0_3,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
multiplication(antidomain(X_86),addition(X_85,X_86)) = addition(multiplication(antidomain(X_86),X_85),multiplication(antidomain(X_86),X_86)),
inference(subst,[],[refute_0_3:[bind(A,$fot(antidomain(X_86))),bind(B,$fot(X_85)),bind(C,$fot(X_86))]]) ).
cnf(refute_0_5,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
multiplication(antidomain(X_86),X_86) = zero,
inference(subst,[],[refute_0_5:[bind(X0,$fot(X_86))]]) ).
cnf(refute_0_7,plain,
( multiplication(antidomain(X_86),X_86) != zero
| multiplication(antidomain(X_86),addition(X_85,X_86)) != addition(multiplication(antidomain(X_86),X_85),multiplication(antidomain(X_86),X_86))
| multiplication(antidomain(X_86),addition(X_85,X_86)) = addition(multiplication(antidomain(X_86),X_85),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_86),addition(X_85,X_86)),addition(multiplication(antidomain(X_86),X_85),multiplication(antidomain(X_86),X_86))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8,plain,
( multiplication(antidomain(X_86),addition(X_85,X_86)) != addition(multiplication(antidomain(X_86),X_85),multiplication(antidomain(X_86),X_86))
| multiplication(antidomain(X_86),addition(X_85,X_86)) = addition(multiplication(antidomain(X_86),X_85),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_86),X_86),zero) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiplication(antidomain(X_86),addition(X_85,X_86)) = addition(multiplication(antidomain(X_86),X_85),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_86),addition(X_85,X_86)),addition(multiplication(antidomain(X_86),X_85),multiplication(antidomain(X_86),X_86))) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_11,plain,
addition(multiplication(antidomain(X_86),X_85),zero) = multiplication(antidomain(X_86),X_85),
inference(subst,[],[refute_0_10:[bind(A,$fot(multiplication(antidomain(X_86),X_85)))]]) ).
cnf(refute_0_12,plain,
( addition(multiplication(antidomain(X_86),X_85),zero) != multiplication(antidomain(X_86),X_85)
| multiplication(antidomain(X_86),addition(X_85,X_86)) != addition(multiplication(antidomain(X_86),X_85),zero)
| multiplication(antidomain(X_86),addition(X_85,X_86)) = multiplication(antidomain(X_86),X_85) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_86),addition(X_85,X_86)),addition(multiplication(antidomain(X_86),X_85),zero)) ),[1],$fot(multiplication(antidomain(X_86),X_85))]]) ).
cnf(refute_0_13,plain,
( multiplication(antidomain(X_86),addition(X_85,X_86)) != addition(multiplication(antidomain(X_86),X_85),zero)
| multiplication(antidomain(X_86),addition(X_85,X_86)) = multiplication(antidomain(X_86),X_85) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_86),X_85),zero),multiplication(antidomain(X_86),X_85)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiplication(antidomain(X_86),addition(X_85,X_86)) = multiplication(antidomain(X_86),X_85),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_86),addition(X_85,X_86)),addition(multiplication(antidomain(X_86),X_85),zero)) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(subst,[],[refute_0_14:[bind(X_85,$fot(coantidomain(X0))),bind(X_86,$fot(codomain(X0)))]]) ).
cnf(refute_0_16,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_17,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_18,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_19,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_20,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_22,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_17,refute_0_21]) ).
cnf(refute_0_23,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(subst,[],[refute_0_22:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_24,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) ),[0],$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_25,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[refute_0_16,refute_0_25]) ).
cnf(refute_0_27,plain,
codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_28,plain,
( codomain(X0) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_29,plain,
coantidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_31,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) ),[1,1],$fot(codomain(X0))]]) ).
cnf(refute_0_32,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).
cnf(refute_0_35,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
addition(coantidomain(X0),codomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_26,refute_0_35]) ).
cnf(refute_0_37,plain,
( addition(coantidomain(X0),codomain(X0)) != one
| multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| multiplication(antidomain(codomain(X0)),one) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))),multiplication(antidomain(codomain(X0)),coantidomain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_38,plain,
( multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| multiplication(antidomain(codomain(X0)),one) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
multiplication(antidomain(codomain(X0)),one) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))),multiplication(antidomain(codomain(X0)),coantidomain(X0))) )],[refute_0_15,refute_0_38]) ).
cnf(refute_0_40,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_41,plain,
multiplication(antidomain(codomain(X0)),one) = antidomain(codomain(X0)),
inference(subst,[],[refute_0_40:[bind(A,$fot(antidomain(codomain(X0))))]]) ).
cnf(refute_0_42,plain,
( multiplication(antidomain(codomain(X0)),one) != antidomain(codomain(X0))
| multiplication(antidomain(codomain(X0)),one) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| antidomain(codomain(X0)) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(codomain(X0)),one),multiplication(antidomain(codomain(X0)),coantidomain(X0))) ),[0],$fot(antidomain(codomain(X0)))]]) ).
cnf(refute_0_43,plain,
( multiplication(antidomain(codomain(X0)),one) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| antidomain(codomain(X0)) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),one),antidomain(codomain(X0))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
antidomain(codomain(X0)) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),one),multiplication(antidomain(codomain(X0)),coantidomain(X0))) )],[refute_0_39,refute_0_43]) ).
cnf(refute_0_45,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_46,plain,
multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(multiplication(coantidomain(X0),antidomain(codomain(X0))),X_143),
inference(subst,[],[refute_0_45:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(antidomain(codomain(X0)))),bind(C,$fot(X_143))]]) ).
cnf(refute_0_47,plain,
multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) = addition(multiplication(X_84,X_85),multiplication(X_84,domain(domain(coantidomain(X_84))))),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_84)),bind(B,$fot(X_85)),bind(C,$fot(domain(domain(coantidomain(X_84)))))]]) ).
cnf(refute_0_48,plain,
multiplication(antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))),multiplication(X_50,domain(domain(coantidomain(X_50))))) = zero,
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiplication(X_50,domain(domain(coantidomain(X_50))))))]]) ).
cnf(refute_0_49,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_50,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_51,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_1,refute_0_50]) ).
cnf(refute_0_52,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(subst,[],[refute_0_51:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_53,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).
cnf(refute_0_54,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,antidomain(antidomain(X1)))
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) ),[1,1],$fot(domain(X1))]]) ).
cnf(refute_0_55,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_58,plain,
( antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) ),[1,0],$fot(multiplication(X0,domain(X1)))]]) ).
cnf(refute_0_59,plain,
( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).
cnf(refute_0_62,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) ),[1,1],$fot(antidomain(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_63,plain,
( antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) ),[0],$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_66,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) ),[0],$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_68,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_60,refute_0_67]) ).
cnf(refute_0_69,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_66,refute_0_68]) ).
cnf(refute_0_70,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_49,refute_0_69]) ).
cnf(refute_0_71,plain,
addition(antidomain(multiplication(X0,domain(coantidomain(X0)))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) = antidomain(multiplication(X0,domain(domain(coantidomain(X0))))),
inference(subst,[],[refute_0_70:[bind(X1,$fot(domain(coantidomain(X0))))]]) ).
cnf(refute_0_72,plain,
addition(antidomain(multiplication(X_42,coantidomain(X_42))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = antidomain(multiplication(X_42,domain(coantidomain(X_42)))),
inference(subst,[],[refute_0_70:[bind(X0,$fot(X_42)),bind(X1,$fot(coantidomain(X_42)))]]) ).
cnf(refute_0_73,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_74,plain,
multiplication(X_42,coantidomain(X_42)) = zero,
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_42))]]) ).
cnf(refute_0_75,plain,
( addition(antidomain(multiplication(X_42,coantidomain(X_42))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != antidomain(multiplication(X_42,domain(coantidomain(X_42))))
| multiplication(X_42,coantidomain(X_42)) != zero
| addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = antidomain(multiplication(X_42,domain(coantidomain(X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_42,coantidomain(X_42))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_76,plain,
( addition(antidomain(multiplication(X_42,coantidomain(X_42))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != antidomain(multiplication(X_42,domain(coantidomain(X_42))))
| addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = antidomain(multiplication(X_42,domain(coantidomain(X_42)))) ),
inference(resolve,[$cnf( $equal(multiplication(X_42,coantidomain(X_42)),zero) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = antidomain(multiplication(X_42,domain(coantidomain(X_42)))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_42,coantidomain(X_42))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) )],[refute_0_72,refute_0_76]) ).
cnf(refute_0_78,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_79,plain,
addition(antidomain(X0),addition(domain(X0),X_23)) = addition(addition(antidomain(X0),domain(X0)),X_23),
inference(subst,[],[refute_0_78:[bind(A,$fot(antidomain(X0))),bind(B,$fot(domain(X0))),bind(C,$fot(X_23))]]) ).
cnf(refute_0_80,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_81,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_22:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_82,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_83,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_86,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),antidomain(antidomain(X0)))
| antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) ),[1,1],$fot(domain(X0))]]) ).
cnf(refute_0_87,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_51,refute_0_87]) ).
cnf(refute_0_89,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_90,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_84,refute_0_90]) ).
cnf(refute_0_92,plain,
( addition(antidomain(X0),addition(domain(X0),X_23)) != addition(addition(antidomain(X0),domain(X0)),X_23)
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),addition(domain(X0),X_23)) = addition(one,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_23)),addition(addition(antidomain(X0),domain(X0)),X_23)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_93,plain,
( addition(antidomain(X0),addition(domain(X0),X_23)) != addition(addition(antidomain(X0),domain(X0)),X_23)
| addition(antidomain(X0),addition(domain(X0),X_23)) = addition(one,X_23) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
addition(antidomain(X0),addition(domain(X0),X_23)) = addition(one,X_23),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_23)),addition(addition(antidomain(X0),domain(X0)),X_23)) )],[refute_0_79,refute_0_93]) ).
cnf(refute_0_95,plain,
addition(antidomain(X_24),addition(domain(X_24),domain(X_24))) = addition(one,domain(X_24)),
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_24)),bind(X_23,$fot(domain(X_24)))]]) ).
cnf(refute_0_96,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_97,plain,
addition(domain(X_24),domain(X_24)) = domain(X_24),
inference(subst,[],[refute_0_96:[bind(A,$fot(domain(X_24)))]]) ).
cnf(refute_0_98,plain,
( addition(antidomain(X_24),addition(domain(X_24),domain(X_24))) != addition(one,domain(X_24))
| addition(domain(X_24),domain(X_24)) != domain(X_24)
| addition(antidomain(X_24),domain(X_24)) = addition(one,domain(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_24),addition(domain(X_24),domain(X_24))),addition(one,domain(X_24))) ),[0,1],$fot(domain(X_24))]]) ).
cnf(refute_0_99,plain,
( addition(antidomain(X_24),addition(domain(X_24),domain(X_24))) != addition(one,domain(X_24))
| addition(antidomain(X_24),domain(X_24)) = addition(one,domain(X_24)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_24),domain(X_24)),domain(X_24)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
addition(antidomain(X_24),domain(X_24)) = addition(one,domain(X_24)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_24),addition(domain(X_24),domain(X_24))),addition(one,domain(X_24))) )],[refute_0_95,refute_0_99]) ).
cnf(refute_0_101,plain,
addition(antidomain(X_24),domain(X_24)) = one,
inference(subst,[],[refute_0_91:[bind(X0,$fot(X_24))]]) ).
cnf(refute_0_102,plain,
( addition(antidomain(X_24),domain(X_24)) != addition(one,domain(X_24))
| addition(antidomain(X_24),domain(X_24)) != one
| one = addition(one,domain(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_24),domain(X_24)),addition(one,domain(X_24))) ),[0],$fot(one)]]) ).
cnf(refute_0_103,plain,
( addition(antidomain(X_24),domain(X_24)) != addition(one,domain(X_24))
| one = addition(one,domain(X_24)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_24),domain(X_24)),one) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
one = addition(one,domain(X_24)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_24),domain(X_24)),addition(one,domain(X_24))) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
one = addition(one,domain(antidomain(X_1))),
inference(subst,[],[refute_0_104:[bind(X_24,$fot(antidomain(X_1)))]]) ).
cnf(refute_0_106,plain,
domain(antidomain(X_1)) = antidomain(antidomain(antidomain(X_1))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(antidomain(X_1)))]]) ).
cnf(refute_0_107,plain,
domain(X_1) = antidomain(antidomain(X_1)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_1))]]) ).
cnf(refute_0_108,plain,
( domain(X_1) != antidomain(antidomain(X_1))
| antidomain(antidomain(X_1)) = domain(X_1) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(domain(X_1))),bind(Y,$fot(antidomain(antidomain(X_1))))]]) ).
cnf(refute_0_109,plain,
antidomain(antidomain(X_1)) = domain(X_1),
inference(resolve,[$cnf( $equal(domain(X_1),antidomain(antidomain(X_1))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( antidomain(antidomain(X_1)) != domain(X_1)
| domain(antidomain(X_1)) != antidomain(antidomain(antidomain(X_1)))
| domain(antidomain(X_1)) = antidomain(domain(X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_1)),antidomain(antidomain(antidomain(X_1)))) ),[1,0],$fot(domain(X_1))]]) ).
cnf(refute_0_111,plain,
( domain(antidomain(X_1)) != antidomain(antidomain(antidomain(X_1)))
| domain(antidomain(X_1)) = antidomain(domain(X_1)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_1)),domain(X_1)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
domain(antidomain(X_1)) = antidomain(domain(X_1)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1)),antidomain(antidomain(antidomain(X_1)))) )],[refute_0_106,refute_0_111]) ).
cnf(refute_0_113,plain,
( domain(antidomain(X_1)) != antidomain(domain(X_1))
| one != addition(one,domain(antidomain(X_1)))
| one = addition(one,antidomain(domain(X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,domain(antidomain(X_1)))) ),[1,1],$fot(antidomain(domain(X_1)))]]) ).
cnf(refute_0_114,plain,
( one != addition(one,domain(antidomain(X_1)))
| one = addition(one,antidomain(domain(X_1))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1)),antidomain(domain(X_1))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
one = addition(one,antidomain(domain(X_1))),
inference(resolve,[$cnf( $equal(one,addition(one,domain(antidomain(X_1)))) )],[refute_0_105,refute_0_114]) ).
cnf(refute_0_116,plain,
addition(antidomain(X_24),addition(domain(X_24),antidomain(domain(X_24)))) = addition(one,antidomain(domain(X_24))),
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_24)),bind(X_23,$fot(antidomain(domain(X_24))))]]) ).
cnf(refute_0_117,plain,
addition(antidomain(antidomain(X_1)),domain(antidomain(X_1))) = one,
inference(subst,[],[refute_0_91:[bind(X0,$fot(antidomain(X_1)))]]) ).
cnf(refute_0_118,plain,
( addition(antidomain(antidomain(X_1)),domain(antidomain(X_1))) != one
| domain(antidomain(X_1)) != antidomain(domain(X_1))
| addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_1)),domain(antidomain(X_1))),one) ),[0,1],$fot(antidomain(domain(X_1)))]]) ).
cnf(refute_0_119,plain,
( addition(antidomain(antidomain(X_1)),domain(antidomain(X_1))) != one
| addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) = one ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1)),antidomain(domain(X_1))) )],[refute_0_112,refute_0_118]) ).
cnf(refute_0_120,plain,
addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),domain(antidomain(X_1))),one) )],[refute_0_117,refute_0_119]) ).
cnf(refute_0_121,plain,
addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) = addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))))]]) ).
cnf(refute_0_122,plain,
( addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) != addition(antidomain(antidomain(X_1)),antidomain(domain(X_1)))
| antidomain(antidomain(X_1)) != domain(X_1)
| addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) = addition(domain(X_1),antidomain(domain(X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))),addition(antidomain(antidomain(X_1)),antidomain(domain(X_1)))) ),[1,0],$fot(domain(X_1))]]) ).
cnf(refute_0_123,plain,
( antidomain(antidomain(X_1)) != domain(X_1)
| addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) = addition(domain(X_1),antidomain(domain(X_1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))),addition(antidomain(antidomain(X_1)),antidomain(domain(X_1)))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) = addition(domain(X_1),antidomain(domain(X_1))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_1)),domain(X_1)) )],[refute_0_109,refute_0_123]) ).
cnf(refute_0_125,plain,
( addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) != addition(domain(X_1),antidomain(domain(X_1)))
| addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) != one
| addition(domain(X_1),antidomain(domain(X_1))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))),one) ),[0],$fot(addition(domain(X_1),antidomain(domain(X_1))))]]) ).
cnf(refute_0_126,plain,
( addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))) != one
| addition(domain(X_1),antidomain(domain(X_1))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))),addition(domain(X_1),antidomain(domain(X_1)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
addition(domain(X_1),antidomain(domain(X_1))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(domain(X_1))),one) )],[refute_0_120,refute_0_126]) ).
cnf(refute_0_128,plain,
addition(domain(X_24),antidomain(domain(X_24))) = one,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(X_24))]]) ).
cnf(refute_0_129,plain,
( addition(antidomain(X_24),addition(domain(X_24),antidomain(domain(X_24)))) != addition(one,antidomain(domain(X_24)))
| addition(domain(X_24),antidomain(domain(X_24))) != one
| addition(antidomain(X_24),one) = addition(one,antidomain(domain(X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_24),addition(domain(X_24),antidomain(domain(X_24)))),addition(one,antidomain(domain(X_24)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_130,plain,
( addition(antidomain(X_24),addition(domain(X_24),antidomain(domain(X_24)))) != addition(one,antidomain(domain(X_24)))
| addition(antidomain(X_24),one) = addition(one,antidomain(domain(X_24))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_24),antidomain(domain(X_24))),one) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
addition(antidomain(X_24),one) = addition(one,antidomain(domain(X_24))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_24),addition(domain(X_24),antidomain(domain(X_24)))),addition(one,antidomain(domain(X_24)))) )],[refute_0_116,refute_0_130]) ).
cnf(refute_0_132,plain,
addition(antidomain(X_24),one) = addition(one,antidomain(X_24)),
inference(subst,[],[refute_0_22:[bind(A,$fot(one)),bind(B,$fot(antidomain(X_24)))]]) ).
cnf(refute_0_133,plain,
( addition(antidomain(X_24),one) != addition(one,antidomain(X_24))
| addition(antidomain(X_24),one) != addition(one,antidomain(domain(X_24)))
| addition(one,antidomain(X_24)) = addition(one,antidomain(domain(X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_24),one),addition(one,antidomain(domain(X_24)))) ),[0],$fot(addition(one,antidomain(X_24)))]]) ).
cnf(refute_0_134,plain,
( addition(antidomain(X_24),one) != addition(one,antidomain(domain(X_24)))
| addition(one,antidomain(X_24)) = addition(one,antidomain(domain(X_24))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_24),one),addition(one,antidomain(X_24))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
addition(one,antidomain(X_24)) = addition(one,antidomain(domain(X_24))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_24),one),addition(one,antidomain(domain(X_24)))) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
( addition(one,antidomain(X_24)) != addition(one,antidomain(domain(X_24)))
| addition(one,antidomain(domain(X_24))) = addition(one,antidomain(X_24)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(one,antidomain(X_24)))),bind(Y,$fot(addition(one,antidomain(domain(X_24)))))]]) ).
cnf(refute_0_137,plain,
addition(one,antidomain(domain(X_24))) = addition(one,antidomain(X_24)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_24)),addition(one,antidomain(domain(X_24)))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
addition(one,antidomain(domain(X_1))) = addition(one,antidomain(X_1)),
inference(subst,[],[refute_0_137:[bind(X_24,$fot(X_1))]]) ).
cnf(refute_0_139,plain,
( addition(one,antidomain(domain(X_1))) != addition(one,antidomain(X_1))
| one != addition(one,antidomain(domain(X_1)))
| one = addition(one,antidomain(X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,antidomain(domain(X_1)))) ),[1],$fot(addition(one,antidomain(X_1)))]]) ).
cnf(refute_0_140,plain,
( one != addition(one,antidomain(domain(X_1)))
| one = addition(one,antidomain(X_1)) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(domain(X_1))),addition(one,antidomain(X_1))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
one = addition(one,antidomain(X_1)),
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(domain(X_1)))) )],[refute_0_115,refute_0_140]) ).
cnf(refute_0_142,plain,
( one != addition(one,antidomain(X_1))
| addition(one,antidomain(X_1)) = one ),
inference(subst,[],[refute_0_20:[bind(X,$fot(one)),bind(Y,$fot(addition(one,antidomain(X_1))))]]) ).
cnf(refute_0_143,plain,
addition(one,antidomain(X_1)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(X_1))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = one,
inference(subst,[],[refute_0_143:[bind(X_1,$fot(multiplication(X_42,domain(coantidomain(X_42)))))]]) ).
cnf(refute_0_145,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_17:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_146,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_91:[bind(X0,$fot(one))]]) ).
cnf(refute_0_147,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one))]]) ).
cnf(refute_0_148,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_40:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_149,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_5:[bind(X0,$fot(one))]]) ).
cnf(refute_0_150,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| zero = antidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_151,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_154,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( antidomain(one) != zero
| domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_156,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_147,refute_0_156]) ).
cnf(refute_0_158,plain,
( addition(antidomain(one),domain(one)) != one
| domain(one) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_159,plain,
( addition(antidomain(one),domain(one)) != one
| addition(antidomain(one),antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
addition(antidomain(one),antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_146,refute_0_159]) ).
cnf(refute_0_161,plain,
addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).
cnf(refute_0_162,plain,
( addition(antidomain(one),antidomain(zero)) != addition(antidomain(one),antidomain(zero))
| antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_163,plain,
( antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_154,refute_0_163]) ).
cnf(refute_0_165,plain,
( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
| addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_166,plain,
( addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_160,refute_0_166]) ).
cnf(refute_0_168,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_169,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_145,refute_0_169]) ).
cnf(refute_0_171,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_10:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_172,plain,
( addition(antidomain(zero),zero) != antidomain(zero)
| one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(antidomain(zero),zero)) ),[1],$fot(antidomain(zero))]]) ).
cnf(refute_0_173,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_20:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_176,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))))]]) ).
cnf(refute_0_178,plain,
( addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42)))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_179,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42)))))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42))))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_182,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_20,refute_0_181]) ).
cnf(refute_0_183,plain,
( addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42)))))
| addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != one
| addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = one ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))))),bind(Y,$fot(addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_184,plain,
( addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != one
| addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42)))))) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) = one,
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(X_42,domain(coantidomain(X_42))))),one) )],[refute_0_144,refute_0_184]) ).
cnf(refute_0_186,plain,
( addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != antidomain(multiplication(X_42,domain(coantidomain(X_42))))
| addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != one
| one = antidomain(multiplication(X_42,domain(coantidomain(X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) ),[0],$fot(one)]]) ).
cnf(refute_0_187,plain,
( addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) != antidomain(multiplication(X_42,domain(coantidomain(X_42))))
| one = antidomain(multiplication(X_42,domain(coantidomain(X_42)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),one) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
one = antidomain(multiplication(X_42,domain(coantidomain(X_42)))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(X_42,domain(coantidomain(X_42))))),antidomain(multiplication(X_42,domain(coantidomain(X_42))))) )],[refute_0_77,refute_0_187]) ).
cnf(refute_0_189,plain,
one = antidomain(multiplication(X0,domain(coantidomain(X0)))),
inference(subst,[],[refute_0_188:[bind(X_42,$fot(X0))]]) ).
cnf(refute_0_190,plain,
( one != antidomain(multiplication(X0,domain(coantidomain(X0))))
| antidomain(multiplication(X0,domain(coantidomain(X0)))) = one ),
inference(subst,[],[refute_0_20:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(X0,domain(coantidomain(X0))))))]]) ).
cnf(refute_0_191,plain,
antidomain(multiplication(X0,domain(coantidomain(X0)))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(X0,domain(coantidomain(X0))))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( addition(antidomain(multiplication(X0,domain(coantidomain(X0)))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) != antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))
| antidomain(multiplication(X0,domain(coantidomain(X0)))) != one
| addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) = antidomain(multiplication(X0,domain(domain(coantidomain(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X0,domain(coantidomain(X0)))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_193,plain,
( addition(antidomain(multiplication(X0,domain(coantidomain(X0)))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) != antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))
| addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) = antidomain(multiplication(X0,domain(domain(coantidomain(X0))))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,domain(coantidomain(X0)))),one) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) = antidomain(multiplication(X0,domain(domain(coantidomain(X0))))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,domain(coantidomain(X0)))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) )],[refute_0_71,refute_0_193]) ).
cnf(refute_0_195,plain,
addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) = one,
inference(subst,[],[refute_0_143:[bind(X_1,$fot(multiplication(X0,domain(domain(coantidomain(X0))))))]]) ).
cnf(refute_0_196,plain,
( addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) != antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))
| addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) != one
| one = antidomain(multiplication(X0,domain(domain(coantidomain(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_197,plain,
( addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) != antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))
| one = antidomain(multiplication(X0,domain(domain(coantidomain(X0))))) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))),one) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
one = antidomain(multiplication(X0,domain(domain(coantidomain(X0))))),
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))),antidomain(multiplication(X0,domain(domain(coantidomain(X0)))))) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
one = antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))),
inference(subst,[],[refute_0_198:[bind(X0,$fot(X_50))]]) ).
cnf(refute_0_200,plain,
( one != antidomain(multiplication(X_50,domain(domain(coantidomain(X_50)))))
| antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))) = one ),
inference(subst,[],[refute_0_20:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(X_50,domain(domain(coantidomain(X_50)))))))]]) ).
cnf(refute_0_201,plain,
antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(X_50,domain(domain(coantidomain(X_50)))))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))) != one
| multiplication(antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))),multiplication(X_50,domain(domain(coantidomain(X_50))))) != zero
| multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))),multiplication(X_50,domain(domain(coantidomain(X_50))))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_203,plain,
( multiplication(antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))),multiplication(X_50,domain(domain(coantidomain(X_50))))) != zero
| multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))),one) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_50,domain(domain(coantidomain(X_50))))),multiplication(X_50,domain(domain(coantidomain(X_50))))),zero) )],[refute_0_48,refute_0_203]) ).
cnf(refute_0_205,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_206,plain,
multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))) = multiplication(X_50,domain(domain(coantidomain(X_50)))),
inference(subst,[],[refute_0_205:[bind(A,$fot(multiplication(X_50,domain(domain(coantidomain(X_50))))))]]) ).
cnf(refute_0_207,plain,
( multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))) != multiplication(X_50,domain(domain(coantidomain(X_50))))
| multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))) != zero
| multiplication(X_50,domain(domain(coantidomain(X_50)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))),zero) ),[0],$fot(multiplication(X_50,domain(domain(coantidomain(X_50)))))]]) ).
cnf(refute_0_208,plain,
( multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))) != zero
| multiplication(X_50,domain(domain(coantidomain(X_50)))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))),multiplication(X_50,domain(domain(coantidomain(X_50))))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiplication(X_50,domain(domain(coantidomain(X_50)))) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_50,domain(domain(coantidomain(X_50))))),zero) )],[refute_0_204,refute_0_208]) ).
cnf(refute_0_210,plain,
multiplication(X_84,domain(domain(coantidomain(X_84)))) = zero,
inference(subst,[],[refute_0_209:[bind(X_50,$fot(X_84))]]) ).
cnf(refute_0_211,plain,
( multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) != addition(multiplication(X_84,X_85),multiplication(X_84,domain(domain(coantidomain(X_84)))))
| multiplication(X_84,domain(domain(coantidomain(X_84)))) != zero
| multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) = addition(multiplication(X_84,X_85),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))),addition(multiplication(X_84,X_85),multiplication(X_84,domain(domain(coantidomain(X_84)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_212,plain,
( multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) != addition(multiplication(X_84,X_85),multiplication(X_84,domain(domain(coantidomain(X_84)))))
| multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) = addition(multiplication(X_84,X_85),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_84,domain(domain(coantidomain(X_84)))),zero) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) = addition(multiplication(X_84,X_85),zero),
inference(resolve,[$cnf( $equal(multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))),addition(multiplication(X_84,X_85),multiplication(X_84,domain(domain(coantidomain(X_84)))))) )],[refute_0_47,refute_0_212]) ).
cnf(refute_0_214,plain,
addition(multiplication(X_84,X_85),zero) = multiplication(X_84,X_85),
inference(subst,[],[refute_0_10:[bind(A,$fot(multiplication(X_84,X_85)))]]) ).
cnf(refute_0_215,plain,
( addition(multiplication(X_84,X_85),zero) != multiplication(X_84,X_85)
| multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) != addition(multiplication(X_84,X_85),zero)
| multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) = multiplication(X_84,X_85) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))),addition(multiplication(X_84,X_85),zero)) ),[1],$fot(multiplication(X_84,X_85))]]) ).
cnf(refute_0_216,plain,
( multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) != addition(multiplication(X_84,X_85),zero)
| multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) = multiplication(X_84,X_85) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_84,X_85),zero),multiplication(X_84,X_85)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))) = multiplication(X_84,X_85),
inference(resolve,[$cnf( $equal(multiplication(X_84,addition(X_85,domain(domain(coantidomain(X_84))))),addition(multiplication(X_84,X_85),zero)) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
multiplication(X_100,addition(antidomain(coantidomain(X_100)),domain(domain(coantidomain(X_100))))) = multiplication(X_100,antidomain(coantidomain(X_100))),
inference(subst,[],[refute_0_217:[bind(X_84,$fot(X_100)),bind(X_85,$fot(antidomain(coantidomain(X_100))))]]) ).
cnf(refute_0_219,plain,
addition(antidomain(X0),addition(domain(X0),domain(domain(X0)))) = addition(one,domain(domain(X0))),
inference(subst,[],[refute_0_94:[bind(X_23,$fot(domain(domain(X0))))]]) ).
cnf(refute_0_220,plain,
addition(antidomain(multiplication(one,X_43)),antidomain(multiplication(one,domain(X_43)))) = antidomain(multiplication(one,domain(X_43))),
inference(subst,[],[refute_0_70:[bind(X0,$fot(one)),bind(X1,$fot(X_43))]]) ).
cnf(refute_0_221,plain,
multiplication(one,domain(X_43)) = domain(X_43),
inference(subst,[],[refute_0_205:[bind(A,$fot(domain(X_43)))]]) ).
cnf(refute_0_222,plain,
( addition(antidomain(multiplication(one,X_43)),antidomain(multiplication(one,domain(X_43)))) != antidomain(multiplication(one,domain(X_43)))
| multiplication(one,domain(X_43)) != domain(X_43)
| addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) = antidomain(multiplication(one,domain(X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_43)),antidomain(multiplication(one,domain(X_43)))),antidomain(multiplication(one,domain(X_43)))) ),[0,1,0],$fot(domain(X_43))]]) ).
cnf(refute_0_223,plain,
( addition(antidomain(multiplication(one,X_43)),antidomain(multiplication(one,domain(X_43)))) != antidomain(multiplication(one,domain(X_43)))
| addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) = antidomain(multiplication(one,domain(X_43))) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_43)),domain(X_43)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) = antidomain(multiplication(one,domain(X_43))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_43)),antidomain(multiplication(one,domain(X_43)))),antidomain(multiplication(one,domain(X_43)))) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
addition(antidomain(domain(X_43)),antidomain(X_43)) = addition(antidomain(X_43),antidomain(domain(X_43))),
inference(subst,[],[refute_0_22:[bind(A,$fot(antidomain(X_43))),bind(B,$fot(antidomain(domain(X_43))))]]) ).
cnf(refute_0_226,plain,
multiplication(one,X_43) = X_43,
inference(subst,[],[refute_0_205:[bind(A,$fot(X_43))]]) ).
cnf(refute_0_227,plain,
antidomain(multiplication(one,X_43)) = antidomain(multiplication(one,X_43)),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,X_43)))]]) ).
cnf(refute_0_228,plain,
( antidomain(multiplication(one,X_43)) != antidomain(multiplication(one,X_43))
| multiplication(one,X_43) != X_43
| antidomain(multiplication(one,X_43)) = antidomain(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,X_43)),antidomain(multiplication(one,X_43))) ),[1,0],$fot(X_43)]]) ).
cnf(refute_0_229,plain,
( multiplication(one,X_43) != X_43
| antidomain(multiplication(one,X_43)) = antidomain(X_43) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_43)),antidomain(multiplication(one,X_43))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
antidomain(multiplication(one,X_43)) = antidomain(X_43),
inference(resolve,[$cnf( $equal(multiplication(one,X_43),X_43) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) = addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))))]]) ).
cnf(refute_0_232,plain,
( addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) != addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43)))
| antidomain(multiplication(one,X_43)) != antidomain(X_43)
| addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) = addition(antidomain(domain(X_43)),antidomain(X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))),addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43)))) ),[1,1],$fot(antidomain(X_43))]]) ).
cnf(refute_0_233,plain,
( antidomain(multiplication(one,X_43)) != antidomain(X_43)
| addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) = addition(antidomain(domain(X_43)),antidomain(X_43)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))),addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43)))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) = addition(antidomain(domain(X_43)),antidomain(X_43)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_43)),antidomain(X_43)) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
( addition(antidomain(domain(X_43)),antidomain(X_43)) != addition(antidomain(X_43),antidomain(domain(X_43)))
| addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) != addition(antidomain(domain(X_43)),antidomain(X_43))
| addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) = addition(antidomain(X_43),antidomain(domain(X_43))) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))))),bind(Y,$fot(addition(antidomain(domain(X_43)),antidomain(X_43)))),bind(Z,$fot(addition(antidomain(X_43),antidomain(domain(X_43)))))]]) ).
cnf(refute_0_236,plain,
( addition(antidomain(domain(X_43)),antidomain(X_43)) != addition(antidomain(X_43),antidomain(domain(X_43)))
| addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) = addition(antidomain(X_43),antidomain(domain(X_43))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))),addition(antidomain(domain(X_43)),antidomain(X_43))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) = addition(antidomain(X_43),antidomain(domain(X_43))),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_43)),antidomain(X_43)),addition(antidomain(X_43),antidomain(domain(X_43)))) )],[refute_0_225,refute_0_236]) ).
cnf(refute_0_238,plain,
addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) = addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))),
inference(subst,[],[refute_0_22:[bind(A,$fot(antidomain(domain(X_43)))),bind(B,$fot(antidomain(multiplication(one,X_43))))]]) ).
cnf(refute_0_239,plain,
( addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) != addition(antidomain(X_43),antidomain(domain(X_43)))
| addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) != addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43)))
| addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) = addition(antidomain(X_43),antidomain(domain(X_43))) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))))),bind(Y,$fot(addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))))),bind(Z,$fot(addition(antidomain(X_43),antidomain(domain(X_43)))))]]) ).
cnf(refute_0_240,plain,
( addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))) != addition(antidomain(X_43),antidomain(domain(X_43)))
| addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) = addition(antidomain(X_43),antidomain(domain(X_43))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))),addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43)))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) = addition(antidomain(X_43),antidomain(domain(X_43))),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_43)),antidomain(multiplication(one,X_43))),addition(antidomain(X_43),antidomain(domain(X_43)))) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) != addition(antidomain(X_43),antidomain(domain(X_43)))
| addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) != antidomain(multiplication(one,domain(X_43)))
| addition(antidomain(X_43),antidomain(domain(X_43))) = antidomain(multiplication(one,domain(X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))),antidomain(multiplication(one,domain(X_43)))) ),[0],$fot(addition(antidomain(X_43),antidomain(domain(X_43))))]]) ).
cnf(refute_0_243,plain,
( addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) != antidomain(multiplication(one,domain(X_43)))
| addition(antidomain(X_43),antidomain(domain(X_43))) = antidomain(multiplication(one,domain(X_43))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))),addition(antidomain(X_43),antidomain(domain(X_43)))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
antidomain(multiplication(one,domain(X_43))) = antidomain(multiplication(one,domain(X_43))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,domain(X_43))))]]) ).
cnf(refute_0_245,plain,
( antidomain(multiplication(one,domain(X_43))) != antidomain(multiplication(one,domain(X_43)))
| multiplication(one,domain(X_43)) != domain(X_43)
| antidomain(multiplication(one,domain(X_43))) = antidomain(domain(X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,domain(X_43))),antidomain(multiplication(one,domain(X_43)))) ),[1,0],$fot(domain(X_43))]]) ).
cnf(refute_0_246,plain,
( multiplication(one,domain(X_43)) != domain(X_43)
| antidomain(multiplication(one,domain(X_43))) = antidomain(domain(X_43)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_43))),antidomain(multiplication(one,domain(X_43)))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
antidomain(multiplication(one,domain(X_43))) = antidomain(domain(X_43)),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_43)),domain(X_43)) )],[refute_0_221,refute_0_246]) ).
cnf(refute_0_248,plain,
( addition(antidomain(X_43),antidomain(domain(X_43))) != antidomain(multiplication(one,domain(X_43)))
| antidomain(multiplication(one,domain(X_43))) != antidomain(domain(X_43))
| addition(antidomain(X_43),antidomain(domain(X_43))) = antidomain(domain(X_43)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_43),antidomain(domain(X_43))),antidomain(domain(X_43))) ),[0],$fot(antidomain(multiplication(one,domain(X_43))))]]) ).
cnf(refute_0_249,plain,
( addition(antidomain(X_43),antidomain(domain(X_43))) != antidomain(multiplication(one,domain(X_43)))
| addition(antidomain(X_43),antidomain(domain(X_43))) = antidomain(domain(X_43)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_43))),antidomain(domain(X_43))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))) != antidomain(multiplication(one,domain(X_43)))
| addition(antidomain(X_43),antidomain(domain(X_43))) = antidomain(domain(X_43)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_43),antidomain(domain(X_43))),antidomain(multiplication(one,domain(X_43)))) )],[refute_0_243,refute_0_249]) ).
cnf(refute_0_251,plain,
addition(antidomain(X_43),antidomain(domain(X_43))) = antidomain(domain(X_43)),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_43)),antidomain(domain(X_43))),antidomain(multiplication(one,domain(X_43)))) )],[refute_0_224,refute_0_250]) ).
cnf(refute_0_252,plain,
addition(antidomain(antidomain(X_1)),antidomain(domain(antidomain(X_1)))) = antidomain(domain(antidomain(X_1))),
inference(subst,[],[refute_0_251:[bind(X_43,$fot(antidomain(X_1)))]]) ).
cnf(refute_0_253,plain,
( addition(antidomain(antidomain(X_1)),antidomain(domain(antidomain(X_1)))) != antidomain(domain(antidomain(X_1)))
| domain(antidomain(X_1)) != antidomain(domain(X_1))
| addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = antidomain(domain(antidomain(X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(domain(antidomain(X_1)))),antidomain(domain(antidomain(X_1)))) ),[0,1,0],$fot(antidomain(domain(X_1)))]]) ).
cnf(refute_0_254,plain,
( addition(antidomain(antidomain(X_1)),antidomain(domain(antidomain(X_1)))) != antidomain(domain(antidomain(X_1)))
| addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = antidomain(domain(antidomain(X_1))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1)),antidomain(domain(X_1))) )],[refute_0_112,refute_0_253]) ).
cnf(refute_0_255,plain,
addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = antidomain(domain(antidomain(X_1))),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(domain(antidomain(X_1)))),antidomain(domain(antidomain(X_1)))) )],[refute_0_252,refute_0_254]) ).
cnf(refute_0_256,plain,
antidomain(antidomain(domain(X_1))) = domain(domain(X_1)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(domain(X_1)))]]) ).
cnf(refute_0_257,plain,
addition(domain(X_1),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),antidomain(antidomain(domain(X_1)))),
introduced(tautology,[refl,[$fot(addition(domain(X_1),antidomain(antidomain(domain(X_1)))))]]) ).
cnf(refute_0_258,plain,
( addition(domain(X_1),antidomain(antidomain(domain(X_1)))) != addition(domain(X_1),antidomain(antidomain(domain(X_1))))
| antidomain(antidomain(domain(X_1))) != domain(domain(X_1))
| addition(domain(X_1),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),domain(domain(X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_1),antidomain(antidomain(domain(X_1)))),addition(domain(X_1),antidomain(antidomain(domain(X_1))))) ),[1,1],$fot(domain(domain(X_1)))]]) ).
cnf(refute_0_259,plain,
( antidomain(antidomain(domain(X_1))) != domain(domain(X_1))
| addition(domain(X_1),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),domain(domain(X_1))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_1),antidomain(antidomain(domain(X_1)))),addition(domain(X_1),antidomain(antidomain(domain(X_1))))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
addition(domain(X_1),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),domain(domain(X_1))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain(X_1))),domain(domain(X_1))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))))]]) ).
cnf(refute_0_262,plain,
( addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) != addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1))))
| antidomain(antidomain(X_1)) != domain(X_1)
| addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),antidomain(antidomain(domain(X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))),addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1))))) ),[1,0],$fot(domain(X_1))]]) ).
cnf(refute_0_263,plain,
( antidomain(antidomain(X_1)) != domain(X_1)
| addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),antidomain(antidomain(domain(X_1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))),addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1))))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),antidomain(antidomain(domain(X_1)))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_1)),domain(X_1)) )],[refute_0_109,refute_0_263]) ).
cnf(refute_0_265,plain,
( addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) != addition(domain(X_1),antidomain(antidomain(domain(X_1))))
| addition(domain(X_1),antidomain(antidomain(domain(X_1)))) != addition(domain(X_1),domain(domain(X_1)))
| addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),domain(domain(X_1))) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))))),bind(Y,$fot(addition(domain(X_1),antidomain(antidomain(domain(X_1)))))),bind(Z,$fot(addition(domain(X_1),domain(domain(X_1)))))]]) ).
cnf(refute_0_266,plain,
( addition(domain(X_1),antidomain(antidomain(domain(X_1)))) != addition(domain(X_1),domain(domain(X_1)))
| addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),domain(domain(X_1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))),addition(domain(X_1),antidomain(antidomain(domain(X_1))))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) = addition(domain(X_1),domain(domain(X_1))),
inference(resolve,[$cnf( $equal(addition(domain(X_1),antidomain(antidomain(domain(X_1)))),addition(domain(X_1),domain(domain(X_1)))) )],[refute_0_260,refute_0_266]) ).
cnf(refute_0_268,plain,
( addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) != addition(domain(X_1),domain(domain(X_1)))
| addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) != antidomain(domain(antidomain(X_1)))
| addition(domain(X_1),domain(domain(X_1))) = antidomain(domain(antidomain(X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))),antidomain(domain(antidomain(X_1)))) ),[0],$fot(addition(domain(X_1),domain(domain(X_1))))]]) ).
cnf(refute_0_269,plain,
( addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) != antidomain(domain(antidomain(X_1)))
| addition(domain(X_1),domain(domain(X_1))) = antidomain(domain(antidomain(X_1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))),addition(domain(X_1),domain(domain(X_1)))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
antidomain(domain(antidomain(X_1))) = antidomain(domain(antidomain(X_1))),
introduced(tautology,[refl,[$fot(antidomain(domain(antidomain(X_1))))]]) ).
cnf(refute_0_271,plain,
( antidomain(domain(antidomain(X_1))) != antidomain(domain(antidomain(X_1)))
| domain(antidomain(X_1)) != antidomain(domain(X_1))
| antidomain(domain(antidomain(X_1))) = antidomain(antidomain(domain(X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(antidomain(X_1))),antidomain(domain(antidomain(X_1)))) ),[1,0],$fot(antidomain(domain(X_1)))]]) ).
cnf(refute_0_272,plain,
( domain(antidomain(X_1)) != antidomain(domain(X_1))
| antidomain(domain(antidomain(X_1))) = antidomain(antidomain(domain(X_1))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(X_1))),antidomain(domain(antidomain(X_1)))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
antidomain(domain(antidomain(X_1))) = antidomain(antidomain(domain(X_1))),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1)),antidomain(domain(X_1))) )],[refute_0_112,refute_0_272]) ).
cnf(refute_0_274,plain,
( antidomain(antidomain(domain(X_1))) != domain(domain(X_1))
| antidomain(domain(antidomain(X_1))) != antidomain(antidomain(domain(X_1)))
| antidomain(domain(antidomain(X_1))) = domain(domain(X_1)) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(antidomain(domain(antidomain(X_1))))),bind(Y,$fot(antidomain(antidomain(domain(X_1))))),bind(Z,$fot(domain(domain(X_1))))]]) ).
cnf(refute_0_275,plain,
( antidomain(antidomain(domain(X_1))) != domain(domain(X_1))
| antidomain(domain(antidomain(X_1))) = domain(domain(X_1)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(X_1))),antidomain(antidomain(domain(X_1)))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
antidomain(domain(antidomain(X_1))) = domain(domain(X_1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain(X_1))),domain(domain(X_1))) )],[refute_0_256,refute_0_275]) ).
cnf(refute_0_277,plain,
( addition(domain(X_1),domain(domain(X_1))) != antidomain(domain(antidomain(X_1)))
| antidomain(domain(antidomain(X_1))) != domain(domain(X_1))
| addition(domain(X_1),domain(domain(X_1))) = domain(domain(X_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(X_1),domain(domain(X_1))),domain(domain(X_1))) ),[0],$fot(antidomain(domain(antidomain(X_1))))]]) ).
cnf(refute_0_278,plain,
( addition(domain(X_1),domain(domain(X_1))) != antidomain(domain(antidomain(X_1)))
| addition(domain(X_1),domain(domain(X_1))) = domain(domain(X_1)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(antidomain(X_1))),domain(domain(X_1))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
( addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))) != antidomain(domain(antidomain(X_1)))
| addition(domain(X_1),domain(domain(X_1))) = domain(domain(X_1)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_1),domain(domain(X_1))),antidomain(domain(antidomain(X_1)))) )],[refute_0_269,refute_0_278]) ).
cnf(refute_0_280,plain,
addition(domain(X_1),domain(domain(X_1))) = domain(domain(X_1)),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_1)),antidomain(antidomain(domain(X_1)))),antidomain(domain(antidomain(X_1)))) )],[refute_0_255,refute_0_279]) ).
cnf(refute_0_281,plain,
addition(domain(X0),domain(domain(X0))) = domain(domain(X0)),
inference(subst,[],[refute_0_280:[bind(X_1,$fot(X0))]]) ).
cnf(refute_0_282,plain,
( addition(antidomain(X0),addition(domain(X0),domain(domain(X0)))) != addition(one,domain(domain(X0)))
| addition(domain(X0),domain(domain(X0))) != domain(domain(X0))
| addition(antidomain(X0),domain(domain(X0))) = addition(one,domain(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),domain(domain(X0)))),addition(one,domain(domain(X0)))) ),[0,1],$fot(domain(domain(X0)))]]) ).
cnf(refute_0_283,plain,
( addition(antidomain(X0),addition(domain(X0),domain(domain(X0)))) != addition(one,domain(domain(X0)))
| addition(antidomain(X0),domain(domain(X0))) = addition(one,domain(domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(domain(X0))),domain(domain(X0))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
addition(antidomain(X0),domain(domain(X0))) = addition(one,domain(domain(X0))),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),domain(domain(X0)))),addition(one,domain(domain(X0)))) )],[refute_0_219,refute_0_283]) ).
cnf(refute_0_285,plain,
( one != addition(one,domain(X_24))
| addition(one,domain(X_24)) = one ),
inference(subst,[],[refute_0_20:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_24))))]]) ).
cnf(refute_0_286,plain,
addition(one,domain(X_24)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,domain(X_24))) )],[refute_0_104,refute_0_285]) ).
cnf(refute_0_287,plain,
addition(one,domain(domain(X0))) = one,
inference(subst,[],[refute_0_286:[bind(X_24,$fot(domain(X0)))]]) ).
cnf(refute_0_288,plain,
( addition(antidomain(X0),domain(domain(X0))) != addition(one,domain(domain(X0)))
| addition(one,domain(domain(X0))) != one
| addition(antidomain(X0),domain(domain(X0))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X0),domain(domain(X0))),one) ),[0],$fot(addition(one,domain(domain(X0))))]]) ).
cnf(refute_0_289,plain,
( addition(antidomain(X0),domain(domain(X0))) != addition(one,domain(domain(X0)))
| addition(antidomain(X0),domain(domain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(domain(X0))),one) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
addition(antidomain(X0),domain(domain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(domain(X0))),addition(one,domain(domain(X0)))) )],[refute_0_284,refute_0_289]) ).
cnf(refute_0_291,plain,
addition(antidomain(coantidomain(X_100)),domain(domain(coantidomain(X_100)))) = one,
inference(subst,[],[refute_0_290:[bind(X0,$fot(coantidomain(X_100)))]]) ).
cnf(refute_0_292,plain,
( addition(antidomain(coantidomain(X_100)),domain(domain(coantidomain(X_100)))) != one
| multiplication(X_100,addition(antidomain(coantidomain(X_100)),domain(domain(coantidomain(X_100))))) != multiplication(X_100,antidomain(coantidomain(X_100)))
| multiplication(X_100,one) = multiplication(X_100,antidomain(coantidomain(X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_100,addition(antidomain(coantidomain(X_100)),domain(domain(coantidomain(X_100))))),multiplication(X_100,antidomain(coantidomain(X_100)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_293,plain,
( multiplication(X_100,addition(antidomain(coantidomain(X_100)),domain(domain(coantidomain(X_100))))) != multiplication(X_100,antidomain(coantidomain(X_100)))
| multiplication(X_100,one) = multiplication(X_100,antidomain(coantidomain(X_100))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(coantidomain(X_100)),domain(domain(coantidomain(X_100)))),one) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
multiplication(X_100,one) = multiplication(X_100,antidomain(coantidomain(X_100))),
inference(resolve,[$cnf( $equal(multiplication(X_100,addition(antidomain(coantidomain(X_100)),domain(domain(coantidomain(X_100))))),multiplication(X_100,antidomain(coantidomain(X_100)))) )],[refute_0_218,refute_0_293]) ).
cnf(refute_0_295,plain,
multiplication(X_100,one) = X_100,
inference(subst,[],[refute_0_40:[bind(A,$fot(X_100))]]) ).
cnf(refute_0_296,plain,
( multiplication(X_100,one) != X_100
| multiplication(X_100,one) != multiplication(X_100,antidomain(coantidomain(X_100)))
| X_100 = multiplication(X_100,antidomain(coantidomain(X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_100,one),multiplication(X_100,antidomain(coantidomain(X_100)))) ),[0],$fot(X_100)]]) ).
cnf(refute_0_297,plain,
( multiplication(X_100,one) != multiplication(X_100,antidomain(coantidomain(X_100)))
| X_100 = multiplication(X_100,antidomain(coantidomain(X_100))) ),
inference(resolve,[$cnf( $equal(multiplication(X_100,one),X_100) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
X_100 = multiplication(X_100,antidomain(coantidomain(X_100))),
inference(resolve,[$cnf( $equal(multiplication(X_100,one),multiplication(X_100,antidomain(coantidomain(X_100)))) )],[refute_0_294,refute_0_297]) ).
cnf(refute_0_299,plain,
coantidomain(X0) = multiplication(coantidomain(X0),antidomain(coantidomain(coantidomain(X0)))),
inference(subst,[],[refute_0_298:[bind(X_100,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_300,plain,
( coantidomain(X0) != multiplication(coantidomain(X0),antidomain(coantidomain(coantidomain(X0))))
| coantidomain(coantidomain(X0)) != codomain(X0)
| coantidomain(X0) = multiplication(coantidomain(X0),antidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(X0),multiplication(coantidomain(X0),antidomain(coantidomain(coantidomain(X0))))) ),[1,1,0],$fot(codomain(X0))]]) ).
cnf(refute_0_301,plain,
( coantidomain(X0) != multiplication(coantidomain(X0),antidomain(coantidomain(coantidomain(X0))))
| coantidomain(X0) = multiplication(coantidomain(X0),antidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_29,refute_0_300]) ).
cnf(refute_0_302,plain,
coantidomain(X0) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(coantidomain(X0),multiplication(coantidomain(X0),antidomain(coantidomain(coantidomain(X0))))) )],[refute_0_299,refute_0_301]) ).
cnf(refute_0_303,plain,
( coantidomain(X0) != multiplication(coantidomain(X0),antidomain(codomain(X0)))
| multiplication(coantidomain(X0),antidomain(codomain(X0))) = coantidomain(X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(coantidomain(X0))),bind(Y,$fot(multiplication(coantidomain(X0),antidomain(codomain(X0)))))]]) ).
cnf(refute_0_304,plain,
multiplication(coantidomain(X0),antidomain(codomain(X0))) = coantidomain(X0),
inference(resolve,[$cnf( $equal(coantidomain(X0),multiplication(coantidomain(X0),antidomain(codomain(X0)))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
( multiplication(coantidomain(X0),antidomain(codomain(X0))) != coantidomain(X0)
| multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)) != multiplication(multiplication(coantidomain(X0),antidomain(codomain(X0))),X_143)
| multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(coantidomain(X0),X_143) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)),multiplication(multiplication(coantidomain(X0),antidomain(codomain(X0))),X_143)) ),[1,0],$fot(coantidomain(X0))]]) ).
cnf(refute_0_306,plain,
( multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)) != multiplication(multiplication(coantidomain(X0),antidomain(codomain(X0))),X_143)
| multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(coantidomain(X0),X_143) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),antidomain(codomain(X0))),coantidomain(X0)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(coantidomain(X0),X_143),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)),multiplication(multiplication(coantidomain(X0),antidomain(codomain(X0))),X_143)) )],[refute_0_46,refute_0_306]) ).
cnf(refute_0_308,plain,
multiplication(coantidomain(X_204),multiplication(antidomain(codomain(X_204)),coantidomain(X_204))) = multiplication(coantidomain(X_204),coantidomain(X_204)),
inference(subst,[],[refute_0_307:[bind(X0,$fot(X_204)),bind(X_143,$fot(coantidomain(X_204)))]]) ).
cnf(refute_0_309,plain,
antidomain(codomain(X_204)) = multiplication(antidomain(codomain(X_204)),coantidomain(X_204)),
inference(subst,[],[refute_0_44:[bind(X0,$fot(X_204))]]) ).
cnf(refute_0_310,plain,
( antidomain(codomain(X_204)) != multiplication(antidomain(codomain(X_204)),coantidomain(X_204))
| multiplication(antidomain(codomain(X_204)),coantidomain(X_204)) = antidomain(codomain(X_204)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(antidomain(codomain(X_204)))),bind(Y,$fot(multiplication(antidomain(codomain(X_204)),coantidomain(X_204))))]]) ).
cnf(refute_0_311,plain,
multiplication(antidomain(codomain(X_204)),coantidomain(X_204)) = antidomain(codomain(X_204)),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_204)),multiplication(antidomain(codomain(X_204)),coantidomain(X_204))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
( multiplication(antidomain(codomain(X_204)),coantidomain(X_204)) != antidomain(codomain(X_204))
| multiplication(coantidomain(X_204),multiplication(antidomain(codomain(X_204)),coantidomain(X_204))) != multiplication(coantidomain(X_204),coantidomain(X_204))
| multiplication(coantidomain(X_204),antidomain(codomain(X_204))) = multiplication(coantidomain(X_204),coantidomain(X_204)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_204),multiplication(antidomain(codomain(X_204)),coantidomain(X_204))),multiplication(coantidomain(X_204),coantidomain(X_204))) ),[0,1],$fot(antidomain(codomain(X_204)))]]) ).
cnf(refute_0_313,plain,
( multiplication(coantidomain(X_204),multiplication(antidomain(codomain(X_204)),coantidomain(X_204))) != multiplication(coantidomain(X_204),coantidomain(X_204))
| multiplication(coantidomain(X_204),antidomain(codomain(X_204))) = multiplication(coantidomain(X_204),coantidomain(X_204)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X_204)),coantidomain(X_204)),antidomain(codomain(X_204))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
multiplication(coantidomain(X_204),antidomain(codomain(X_204))) = multiplication(coantidomain(X_204),coantidomain(X_204)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_204),multiplication(antidomain(codomain(X_204)),coantidomain(X_204))),multiplication(coantidomain(X_204),coantidomain(X_204))) )],[refute_0_308,refute_0_313]) ).
cnf(refute_0_315,plain,
multiplication(coantidomain(X_204),antidomain(codomain(X_204))) = coantidomain(X_204),
inference(subst,[],[refute_0_304:[bind(X0,$fot(X_204))]]) ).
cnf(refute_0_316,plain,
( multiplication(coantidomain(X_204),antidomain(codomain(X_204))) != coantidomain(X_204)
| multiplication(coantidomain(X_204),antidomain(codomain(X_204))) != multiplication(coantidomain(X_204),coantidomain(X_204))
| coantidomain(X_204) = multiplication(coantidomain(X_204),coantidomain(X_204)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(X_204),antidomain(codomain(X_204))),multiplication(coantidomain(X_204),coantidomain(X_204))) ),[0],$fot(coantidomain(X_204))]]) ).
cnf(refute_0_317,plain,
( multiplication(coantidomain(X_204),antidomain(codomain(X_204))) != multiplication(coantidomain(X_204),coantidomain(X_204))
| coantidomain(X_204) = multiplication(coantidomain(X_204),coantidomain(X_204)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_204),antidomain(codomain(X_204))),coantidomain(X_204)) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
coantidomain(X_204) = multiplication(coantidomain(X_204),coantidomain(X_204)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_204),antidomain(codomain(X_204))),multiplication(coantidomain(X_204),coantidomain(X_204))) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
( coantidomain(X_204) != multiplication(coantidomain(X_204),coantidomain(X_204))
| multiplication(coantidomain(X_204),coantidomain(X_204)) = coantidomain(X_204) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(coantidomain(X_204))),bind(Y,$fot(multiplication(coantidomain(X_204),coantidomain(X_204))))]]) ).
cnf(refute_0_320,plain,
multiplication(coantidomain(X_204),coantidomain(X_204)) = coantidomain(X_204),
inference(resolve,[$cnf( $equal(coantidomain(X_204),multiplication(coantidomain(X_204),coantidomain(X_204))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiplication(coantidomain(X0),coantidomain(X0)) = coantidomain(X0),
inference(subst,[],[refute_0_320:[bind(X_204,$fot(X0))]]) ).
cnf(refute_0_322,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_323,plain,
multiplication(addition(one,X_359),X_360) = addition(multiplication(one,X_360),multiplication(X_359,X_360)),
inference(subst,[],[refute_0_322:[bind(A,$fot(one)),bind(B,$fot(X_359)),bind(C,$fot(X_360))]]) ).
cnf(refute_0_324,plain,
multiplication(one,X_360) = X_360,
inference(subst,[],[refute_0_205:[bind(A,$fot(X_360))]]) ).
cnf(refute_0_325,plain,
( multiplication(addition(one,X_359),X_360) != addition(multiplication(one,X_360),multiplication(X_359,X_360))
| multiplication(one,X_360) != X_360
| multiplication(addition(one,X_359),X_360) = addition(X_360,multiplication(X_359,X_360)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_359),X_360),addition(multiplication(one,X_360),multiplication(X_359,X_360))) ),[1,0],$fot(X_360)]]) ).
cnf(refute_0_326,plain,
( multiplication(addition(one,X_359),X_360) != addition(multiplication(one,X_360),multiplication(X_359,X_360))
| multiplication(addition(one,X_359),X_360) = addition(X_360,multiplication(X_359,X_360)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_360),X_360) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
multiplication(addition(one,X_359),X_360) = addition(X_360,multiplication(X_359,X_360)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_359),X_360),addition(multiplication(one,X_360),multiplication(X_359,X_360))) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143))),
inference(subst,[],[refute_0_327:[bind(X_359,$fot(coantidomain(X0))),bind(X_360,$fot(multiplication(antidomain(codomain(X0)),X_143)))]]) ).
cnf(refute_0_329,plain,
( multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) != addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)))
| multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)) != multiplication(coantidomain(X0),X_143)
| multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)))) ),[1,1],$fot(multiplication(coantidomain(X0),X_143))]]) ).
cnf(refute_0_330,plain,
( multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) != addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)))
| multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)),multiplication(coantidomain(X0),X_143)) )],[refute_0_307,refute_0_329]) ).
cnf(refute_0_331,plain,
multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),multiplication(antidomain(codomain(X0)),X_143)))) )],[refute_0_328,refute_0_330]) ).
cnf(refute_0_332,plain,
multiplication(one,multiplication(antidomain(codomain(X0)),X_143)) = multiplication(antidomain(codomain(X0)),X_143),
inference(subst,[],[refute_0_205:[bind(A,$fot(multiplication(antidomain(codomain(X0)),X_143)))]]) ).
cnf(refute_0_333,plain,
addition(coantidomain(X0),addition(codomain(X0),X_23)) = addition(addition(coantidomain(X0),codomain(X0)),X_23),
inference(subst,[],[refute_0_78:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(codomain(X0))),bind(C,$fot(X_23))]]) ).
cnf(refute_0_334,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_23)) != addition(addition(coantidomain(X0),codomain(X0)),X_23)
| addition(coantidomain(X0),codomain(X0)) != one
| addition(coantidomain(X0),addition(codomain(X0),X_23)) = addition(one,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_23)),addition(addition(coantidomain(X0),codomain(X0)),X_23)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_335,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_23)) != addition(addition(coantidomain(X0),codomain(X0)),X_23)
| addition(coantidomain(X0),addition(codomain(X0),X_23)) = addition(one,X_23) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_36,refute_0_334]) ).
cnf(refute_0_336,plain,
addition(coantidomain(X0),addition(codomain(X0),X_23)) = addition(one,X_23),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_23)),addition(addition(coantidomain(X0),codomain(X0)),X_23)) )],[refute_0_333,refute_0_335]) ).
cnf(refute_0_337,plain,
addition(coantidomain(X_28),addition(codomain(X_28),codomain(X_28))) = addition(one,codomain(X_28)),
inference(subst,[],[refute_0_336:[bind(X0,$fot(X_28)),bind(X_23,$fot(codomain(X_28)))]]) ).
cnf(refute_0_338,plain,
addition(codomain(X_28),codomain(X_28)) = codomain(X_28),
inference(subst,[],[refute_0_96:[bind(A,$fot(codomain(X_28)))]]) ).
cnf(refute_0_339,plain,
( addition(coantidomain(X_28),addition(codomain(X_28),codomain(X_28))) != addition(one,codomain(X_28))
| addition(codomain(X_28),codomain(X_28)) != codomain(X_28)
| addition(coantidomain(X_28),codomain(X_28)) = addition(one,codomain(X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_28),addition(codomain(X_28),codomain(X_28))),addition(one,codomain(X_28))) ),[0,1],$fot(codomain(X_28))]]) ).
cnf(refute_0_340,plain,
( addition(coantidomain(X_28),addition(codomain(X_28),codomain(X_28))) != addition(one,codomain(X_28))
| addition(coantidomain(X_28),codomain(X_28)) = addition(one,codomain(X_28)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_28),codomain(X_28)),codomain(X_28)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
addition(coantidomain(X_28),codomain(X_28)) = addition(one,codomain(X_28)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_28),addition(codomain(X_28),codomain(X_28))),addition(one,codomain(X_28))) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
addition(coantidomain(X_28),codomain(X_28)) = one,
inference(subst,[],[refute_0_36:[bind(X0,$fot(X_28))]]) ).
cnf(refute_0_343,plain,
( addition(coantidomain(X_28),codomain(X_28)) != addition(one,codomain(X_28))
| addition(coantidomain(X_28),codomain(X_28)) != one
| one = addition(one,codomain(X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_28),codomain(X_28)),addition(one,codomain(X_28))) ),[0],$fot(one)]]) ).
cnf(refute_0_344,plain,
( addition(coantidomain(X_28),codomain(X_28)) != addition(one,codomain(X_28))
| one = addition(one,codomain(X_28)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_28),codomain(X_28)),one) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
one = addition(one,codomain(X_28)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_28),codomain(X_28)),addition(one,codomain(X_28))) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
one = addition(one,codomain(coantidomain(X_10))),
inference(subst,[],[refute_0_345:[bind(X_28,$fot(coantidomain(X_10)))]]) ).
cnf(refute_0_347,plain,
codomain(coantidomain(X_10)) = coantidomain(coantidomain(coantidomain(X_10))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(coantidomain(X_10)))]]) ).
cnf(refute_0_348,plain,
codomain(X_10) = coantidomain(coantidomain(X_10)),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_10))]]) ).
cnf(refute_0_349,plain,
( codomain(X_10) != coantidomain(coantidomain(X_10))
| coantidomain(coantidomain(X_10)) = codomain(X_10) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(codomain(X_10))),bind(Y,$fot(coantidomain(coantidomain(X_10))))]]) ).
cnf(refute_0_350,plain,
coantidomain(coantidomain(X_10)) = codomain(X_10),
inference(resolve,[$cnf( $equal(codomain(X_10),coantidomain(coantidomain(X_10))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
( coantidomain(coantidomain(X_10)) != codomain(X_10)
| codomain(coantidomain(X_10)) != coantidomain(coantidomain(coantidomain(X_10)))
| codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_10)),coantidomain(coantidomain(coantidomain(X_10)))) ),[1,0],$fot(codomain(X_10))]]) ).
cnf(refute_0_352,plain,
( codomain(coantidomain(X_10)) != coantidomain(coantidomain(coantidomain(X_10)))
| codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_10)),codomain(X_10)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_10)),coantidomain(coantidomain(coantidomain(X_10)))) )],[refute_0_347,refute_0_352]) ).
cnf(refute_0_354,plain,
( codomain(coantidomain(X_10)) != coantidomain(codomain(X_10))
| one != addition(one,codomain(coantidomain(X_10)))
| one = addition(one,coantidomain(codomain(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_10)))) ),[1,1],$fot(coantidomain(codomain(X_10)))]]) ).
cnf(refute_0_355,plain,
( one != addition(one,codomain(coantidomain(X_10)))
| one = addition(one,coantidomain(codomain(X_10))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_10)),coantidomain(codomain(X_10))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
one = addition(one,coantidomain(codomain(X_10))),
inference(resolve,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_10)))) )],[refute_0_346,refute_0_355]) ).
cnf(refute_0_357,plain,
addition(coantidomain(X_28),addition(codomain(X_28),coantidomain(codomain(X_28)))) = addition(one,coantidomain(codomain(X_28))),
inference(subst,[],[refute_0_336:[bind(X0,$fot(X_28)),bind(X_23,$fot(coantidomain(codomain(X_28))))]]) ).
cnf(refute_0_358,plain,
addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) = one,
inference(subst,[],[refute_0_36:[bind(X0,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_359,plain,
( addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) != one
| coantidomain(coantidomain(X0)) != codomain(X0)
| addition(codomain(X0),codomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))),one) ),[0,0],$fot(codomain(X0))]]) ).
cnf(refute_0_360,plain,
( addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) != one
| addition(codomain(X0),codomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_29,refute_0_359]) ).
cnf(refute_0_361,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))),one) )],[refute_0_358,refute_0_360]) ).
cnf(refute_0_362,plain,
codomain(coantidomain(X0)) = coantidomain(codomain(X0)),
inference(subst,[],[refute_0_353:[bind(X_10,$fot(X0))]]) ).
cnf(refute_0_363,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),codomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(codomain(X0),codomain(coantidomain(X0))))]]) ).
cnf(refute_0_364,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),codomain(coantidomain(X0)))
| codomain(coantidomain(X0)) != coantidomain(codomain(X0))
| addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) ),[1,1],$fot(coantidomain(codomain(X0)))]]) ).
cnf(refute_0_365,plain,
( codomain(coantidomain(X0)) != coantidomain(codomain(X0))
| addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X0)),coantidomain(codomain(X0))) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),coantidomain(codomain(X0)))
| addition(codomain(X0),codomain(coantidomain(X0))) != one
| addition(codomain(X0),coantidomain(codomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) ),[0],$fot(addition(codomain(X0),coantidomain(codomain(X0))))]]) ).
cnf(refute_0_368,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != one
| addition(codomain(X0),coantidomain(codomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),coantidomain(codomain(X0)))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(codomain(X0),coantidomain(codomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) )],[refute_0_361,refute_0_368]) ).
cnf(refute_0_370,plain,
addition(codomain(X_28),coantidomain(codomain(X_28))) = one,
inference(subst,[],[refute_0_369:[bind(X0,$fot(X_28))]]) ).
cnf(refute_0_371,plain,
( addition(coantidomain(X_28),addition(codomain(X_28),coantidomain(codomain(X_28)))) != addition(one,coantidomain(codomain(X_28)))
| addition(codomain(X_28),coantidomain(codomain(X_28))) != one
| addition(coantidomain(X_28),one) = addition(one,coantidomain(codomain(X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_28),addition(codomain(X_28),coantidomain(codomain(X_28)))),addition(one,coantidomain(codomain(X_28)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_372,plain,
( addition(coantidomain(X_28),addition(codomain(X_28),coantidomain(codomain(X_28)))) != addition(one,coantidomain(codomain(X_28)))
| addition(coantidomain(X_28),one) = addition(one,coantidomain(codomain(X_28))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_28),coantidomain(codomain(X_28))),one) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
addition(coantidomain(X_28),one) = addition(one,coantidomain(codomain(X_28))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_28),addition(codomain(X_28),coantidomain(codomain(X_28)))),addition(one,coantidomain(codomain(X_28)))) )],[refute_0_357,refute_0_372]) ).
cnf(refute_0_374,plain,
addition(coantidomain(X_28),one) = addition(one,coantidomain(X_28)),
inference(subst,[],[refute_0_22:[bind(A,$fot(one)),bind(B,$fot(coantidomain(X_28)))]]) ).
cnf(refute_0_375,plain,
( addition(coantidomain(X_28),one) != addition(one,coantidomain(X_28))
| addition(coantidomain(X_28),one) != addition(one,coantidomain(codomain(X_28)))
| addition(one,coantidomain(X_28)) = addition(one,coantidomain(codomain(X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_28),one),addition(one,coantidomain(codomain(X_28)))) ),[0],$fot(addition(one,coantidomain(X_28)))]]) ).
cnf(refute_0_376,plain,
( addition(coantidomain(X_28),one) != addition(one,coantidomain(codomain(X_28)))
| addition(one,coantidomain(X_28)) = addition(one,coantidomain(codomain(X_28))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_28),one),addition(one,coantidomain(X_28))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
addition(one,coantidomain(X_28)) = addition(one,coantidomain(codomain(X_28))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_28),one),addition(one,coantidomain(codomain(X_28)))) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
( addition(one,coantidomain(X_28)) != addition(one,coantidomain(codomain(X_28)))
| addition(one,coantidomain(codomain(X_28))) = addition(one,coantidomain(X_28)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(one,coantidomain(X_28)))),bind(Y,$fot(addition(one,coantidomain(codomain(X_28)))))]]) ).
cnf(refute_0_379,plain,
addition(one,coantidomain(codomain(X_28))) = addition(one,coantidomain(X_28)),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_28)),addition(one,coantidomain(codomain(X_28)))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
addition(one,coantidomain(codomain(X_10))) = addition(one,coantidomain(X_10)),
inference(subst,[],[refute_0_379:[bind(X_28,$fot(X_10))]]) ).
cnf(refute_0_381,plain,
( addition(one,coantidomain(codomain(X_10))) != addition(one,coantidomain(X_10))
| one != addition(one,coantidomain(codomain(X_10)))
| one = addition(one,coantidomain(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_10)))) ),[1],$fot(addition(one,coantidomain(X_10)))]]) ).
cnf(refute_0_382,plain,
( one != addition(one,coantidomain(codomain(X_10)))
| one = addition(one,coantidomain(X_10)) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_10))),addition(one,coantidomain(X_10))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
one = addition(one,coantidomain(X_10)),
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_10)))) )],[refute_0_356,refute_0_382]) ).
cnf(refute_0_384,plain,
( one != addition(one,coantidomain(X_10))
| addition(one,coantidomain(X_10)) = one ),
inference(subst,[],[refute_0_20:[bind(X,$fot(one)),bind(Y,$fot(addition(one,coantidomain(X_10))))]]) ).
cnf(refute_0_385,plain,
addition(one,coantidomain(X_10)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(X_10))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
addition(one,coantidomain(X0)) = one,
inference(subst,[],[refute_0_385:[bind(X_10,$fot(X0))]]) ).
cnf(refute_0_387,plain,
multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)))]]) ).
cnf(refute_0_388,plain,
( addition(one,coantidomain(X0)) != one
| multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) != multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143))
| multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(one,multiplication(antidomain(codomain(X0)),X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_389,plain,
( addition(one,coantidomain(X0)) != one
| multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(one,multiplication(antidomain(codomain(X0)),X_143)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(one,multiplication(antidomain(codomain(X0)),X_143)),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X0)),one) )],[refute_0_386,refute_0_389]) ).
cnf(refute_0_391,plain,
( multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) != multiplication(one,multiplication(antidomain(codomain(X0)),X_143))
| multiplication(one,multiplication(antidomain(codomain(X0)),X_143)) != multiplication(antidomain(codomain(X0)),X_143)
| multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(antidomain(codomain(X0)),X_143) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)))),bind(Y,$fot(multiplication(one,multiplication(antidomain(codomain(X0)),X_143)))),bind(Z,$fot(multiplication(antidomain(codomain(X0)),X_143)))]]) ).
cnf(refute_0_392,plain,
( multiplication(one,multiplication(antidomain(codomain(X0)),X_143)) != multiplication(antidomain(codomain(X0)),X_143)
| multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(antidomain(codomain(X0)),X_143) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),multiplication(one,multiplication(antidomain(codomain(X0)),X_143))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) = multiplication(antidomain(codomain(X0)),X_143),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(codomain(X0)),X_143)),multiplication(antidomain(codomain(X0)),X_143)) )],[refute_0_332,refute_0_392]) ).
cnf(refute_0_394,plain,
( multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) != addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))
| multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) != multiplication(antidomain(codomain(X0)),X_143)
| multiplication(antidomain(codomain(X0)),X_143) = addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))) ),[0],$fot(multiplication(antidomain(codomain(X0)),X_143))]]) ).
cnf(refute_0_395,plain,
( multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) != addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))
| multiplication(antidomain(codomain(X0)),X_143) = addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),multiplication(antidomain(codomain(X0)),X_143)) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
addition(addition(X_22,X_23),addition(X_22,X_23)) = addition(addition(addition(X_22,X_23),X_22),X_23),
inference(subst,[],[refute_0_78:[bind(A,$fot(addition(X_22,X_23))),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).
cnf(refute_0_397,plain,
addition(addition(X_22,X_23),addition(X_22,X_23)) = addition(X_22,X_23),
inference(subst,[],[refute_0_96:[bind(A,$fot(addition(X_22,X_23)))]]) ).
cnf(refute_0_398,plain,
( addition(addition(X_22,X_23),addition(X_22,X_23)) != addition(X_22,X_23)
| addition(addition(X_22,X_23),addition(X_22,X_23)) != addition(addition(addition(X_22,X_23),X_22),X_23)
| addition(X_22,X_23) = addition(addition(addition(X_22,X_23),X_22),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_22,X_23),addition(X_22,X_23)),addition(addition(addition(X_22,X_23),X_22),X_23)) ),[0],$fot(addition(X_22,X_23))]]) ).
cnf(refute_0_399,plain,
( addition(addition(X_22,X_23),addition(X_22,X_23)) != addition(addition(addition(X_22,X_23),X_22),X_23)
| addition(X_22,X_23) = addition(addition(addition(X_22,X_23),X_22),X_23) ),
inference(resolve,[$cnf( $equal(addition(addition(X_22,X_23),addition(X_22,X_23)),addition(X_22,X_23)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
addition(X_22,X_23) = addition(addition(addition(X_22,X_23),X_22),X_23),
inference(resolve,[$cnf( $equal(addition(addition(X_22,X_23),addition(X_22,X_23)),addition(addition(addition(X_22,X_23),X_22),X_23)) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
addition(X_21,addition(X_22,X_23)) = addition(addition(X_21,X_22),X_23),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_21)),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).
cnf(refute_0_402,plain,
addition(X_23,X_22) = addition(X_22,X_23),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_23)),bind(B,$fot(X_22))]]) ).
cnf(refute_0_403,plain,
( addition(X_23,X_22) != addition(X_22,X_23)
| addition(X_22,X_23) = addition(X_23,X_22) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(X_23,X_22))),bind(Y,$fot(addition(X_22,X_23)))]]) ).
cnf(refute_0_404,plain,
addition(X_22,X_23) = addition(X_23,X_22),
inference(resolve,[$cnf( $equal(addition(X_23,X_22),addition(X_22,X_23)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
( addition(X_21,addition(X_22,X_23)) != addition(addition(X_21,X_22),X_23)
| addition(X_22,X_23) != addition(X_23,X_22)
| addition(X_21,addition(X_23,X_22)) = addition(addition(X_21,X_22),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_21,addition(X_22,X_23)),addition(addition(X_21,X_22),X_23)) ),[0,1],$fot(addition(X_23,X_22))]]) ).
cnf(refute_0_406,plain,
( addition(X_21,addition(X_22,X_23)) != addition(addition(X_21,X_22),X_23)
| addition(X_21,addition(X_23,X_22)) = addition(addition(X_21,X_22),X_23) ),
inference(resolve,[$cnf( $equal(addition(X_22,X_23),addition(X_23,X_22)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
addition(X_21,addition(X_23,X_22)) = addition(addition(X_21,X_22),X_23),
inference(resolve,[$cnf( $equal(addition(X_21,addition(X_22,X_23)),addition(addition(X_21,X_22),X_23)) )],[refute_0_401,refute_0_406]) ).
cnf(refute_0_408,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_409,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_78,refute_0_408]) ).
cnf(refute_0_410,plain,
addition(addition(X_21,X_22),X_23) = addition(X_21,addition(X_22,X_23)),
inference(subst,[],[refute_0_409:[bind(A,$fot(X_21)),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).
cnf(refute_0_411,plain,
( addition(X_21,addition(X_23,X_22)) != addition(addition(X_21,X_22),X_23)
| addition(addition(X_21,X_22),X_23) != addition(X_21,addition(X_22,X_23))
| addition(X_21,addition(X_23,X_22)) = addition(X_21,addition(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_21,addition(X_23,X_22)),addition(X_21,addition(X_22,X_23))) ),[0],$fot(addition(addition(X_21,X_22),X_23))]]) ).
cnf(refute_0_412,plain,
( addition(X_21,addition(X_23,X_22)) != addition(addition(X_21,X_22),X_23)
| addition(X_21,addition(X_23,X_22)) = addition(X_21,addition(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_21,X_22),X_23),addition(X_21,addition(X_22,X_23))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
addition(X_21,addition(X_23,X_22)) = addition(X_21,addition(X_22,X_23)),
inference(resolve,[$cnf( $equal(addition(X_21,addition(X_23,X_22)),addition(addition(X_21,X_22),X_23)) )],[refute_0_407,refute_0_412]) ).
cnf(refute_0_414,plain,
( addition(X_21,addition(X_23,X_22)) != addition(X_21,addition(X_22,X_23))
| addition(X_21,addition(X_22,X_23)) = addition(X_21,addition(X_23,X_22)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(X_21,addition(X_23,X_22)))),bind(Y,$fot(addition(X_21,addition(X_22,X_23))))]]) ).
cnf(refute_0_415,plain,
addition(X_21,addition(X_22,X_23)) = addition(X_21,addition(X_23,X_22)),
inference(resolve,[$cnf( $equal(addition(X_21,addition(X_23,X_22)),addition(X_21,addition(X_22,X_23))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
addition(X_23,addition(addition(X_22,X_23),X_22)) = addition(X_23,addition(X_22,addition(X_22,X_23))),
inference(subst,[],[refute_0_415:[bind(X_21,$fot(X_23)),bind(X_22,$fot(addition(X_22,X_23))),bind(X_23,$fot(X_22))]]) ).
cnf(refute_0_417,plain,
addition(A,addition(X_21,X_22)) = addition(addition(X_21,X_22),A),
inference(subst,[],[refute_0_17:[bind(B,$fot(addition(X_21,X_22)))]]) ).
cnf(refute_0_418,plain,
addition(X_21,addition(X_22,A)) = addition(addition(X_21,X_22),A),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_21)),bind(B,$fot(X_22)),bind(C,$fot(A))]]) ).
cnf(refute_0_419,plain,
( addition(X_21,addition(X_22,A)) != addition(addition(X_21,X_22),A)
| addition(addition(X_21,X_22),A) = addition(X_21,addition(X_22,A)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(X_21,addition(X_22,A)))),bind(Y,$fot(addition(addition(X_21,X_22),A)))]]) ).
cnf(refute_0_420,plain,
addition(addition(X_21,X_22),A) = addition(X_21,addition(X_22,A)),
inference(resolve,[$cnf( $equal(addition(X_21,addition(X_22,A)),addition(addition(X_21,X_22),A)) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
( addition(A,addition(X_21,X_22)) != addition(addition(X_21,X_22),A)
| addition(addition(X_21,X_22),A) != addition(X_21,addition(X_22,A))
| addition(A,addition(X_21,X_22)) = addition(X_21,addition(X_22,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_21,X_22)),addition(X_21,addition(X_22,A))) ),[0],$fot(addition(addition(X_21,X_22),A))]]) ).
cnf(refute_0_422,plain,
( addition(A,addition(X_21,X_22)) != addition(addition(X_21,X_22),A)
| addition(A,addition(X_21,X_22)) = addition(X_21,addition(X_22,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_21,X_22),A),addition(X_21,addition(X_22,A))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
addition(A,addition(X_21,X_22)) = addition(X_21,addition(X_22,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_21,X_22)),addition(addition(X_21,X_22),A)) )],[refute_0_417,refute_0_422]) ).
cnf(refute_0_424,plain,
( addition(A,addition(X_21,X_22)) != addition(X_21,addition(X_22,A))
| addition(X_21,addition(X_22,A)) = addition(A,addition(X_21,X_22)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(A,addition(X_21,X_22)))),bind(Y,$fot(addition(X_21,addition(X_22,A))))]]) ).
cnf(refute_0_425,plain,
addition(X_21,addition(X_22,A)) = addition(A,addition(X_21,X_22)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_21,X_22)),addition(X_21,addition(X_22,A))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
addition(addition(X_22,X_23),addition(X_22,X_23)) = addition(X_23,addition(addition(X_22,X_23),X_22)),
inference(subst,[],[refute_0_425:[bind(A,$fot(X_23)),bind(X_21,$fot(addition(X_22,X_23)))]]) ).
cnf(refute_0_427,plain,
( addition(X_23,addition(addition(X_22,X_23),X_22)) != addition(X_23,addition(X_22,addition(X_22,X_23)))
| addition(addition(X_22,X_23),addition(X_22,X_23)) != addition(X_23,addition(addition(X_22,X_23),X_22))
| addition(addition(X_22,X_23),addition(X_22,X_23)) = addition(X_23,addition(X_22,addition(X_22,X_23))) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(addition(X_22,X_23),addition(X_22,X_23)))),bind(Y,$fot(addition(X_23,addition(addition(X_22,X_23),X_22)))),bind(Z,$fot(addition(X_23,addition(X_22,addition(X_22,X_23)))))]]) ).
cnf(refute_0_428,plain,
( addition(X_23,addition(addition(X_22,X_23),X_22)) != addition(X_23,addition(X_22,addition(X_22,X_23)))
| addition(addition(X_22,X_23),addition(X_22,X_23)) = addition(X_23,addition(X_22,addition(X_22,X_23))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_22,X_23),addition(X_22,X_23)),addition(X_23,addition(addition(X_22,X_23),X_22))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
addition(addition(X_22,X_23),addition(X_22,X_23)) = addition(X_23,addition(X_22,addition(X_22,X_23))),
inference(resolve,[$cnf( $equal(addition(X_23,addition(addition(X_22,X_23),X_22)),addition(X_23,addition(X_22,addition(X_22,X_23)))) )],[refute_0_416,refute_0_428]) ).
cnf(refute_0_430,plain,
addition(addition(addition(X_22,X_23),X_22),X_23) = addition(addition(X_22,X_23),addition(X_22,X_23)),
inference(subst,[],[refute_0_409:[bind(A,$fot(addition(X_22,X_23))),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).
cnf(refute_0_431,plain,
( addition(addition(X_22,X_23),addition(X_22,X_23)) != addition(X_23,addition(X_22,addition(X_22,X_23)))
| addition(addition(addition(X_22,X_23),X_22),X_23) != addition(addition(X_22,X_23),addition(X_22,X_23))
| addition(addition(addition(X_22,X_23),X_22),X_23) = addition(X_23,addition(X_22,addition(X_22,X_23))) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(addition(addition(X_22,X_23),X_22),X_23))),bind(Y,$fot(addition(addition(X_22,X_23),addition(X_22,X_23)))),bind(Z,$fot(addition(X_23,addition(X_22,addition(X_22,X_23)))))]]) ).
cnf(refute_0_432,plain,
( addition(addition(X_22,X_23),addition(X_22,X_23)) != addition(X_23,addition(X_22,addition(X_22,X_23)))
| addition(addition(addition(X_22,X_23),X_22),X_23) = addition(X_23,addition(X_22,addition(X_22,X_23))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_22,X_23),X_22),X_23),addition(addition(X_22,X_23),addition(X_22,X_23))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
addition(addition(addition(X_22,X_23),X_22),X_23) = addition(X_23,addition(X_22,addition(X_22,X_23))),
inference(resolve,[$cnf( $equal(addition(addition(X_22,X_23),addition(X_22,X_23)),addition(X_23,addition(X_22,addition(X_22,X_23)))) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
( addition(X_22,X_23) != addition(addition(addition(X_22,X_23),X_22),X_23)
| addition(addition(addition(X_22,X_23),X_22),X_23) != addition(X_23,addition(X_22,addition(X_22,X_23)))
| addition(X_22,X_23) = addition(X_23,addition(X_22,addition(X_22,X_23))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_22,X_23),addition(X_23,addition(X_22,addition(X_22,X_23)))) ),[0],$fot(addition(addition(addition(X_22,X_23),X_22),X_23))]]) ).
cnf(refute_0_435,plain,
( addition(X_22,X_23) != addition(addition(addition(X_22,X_23),X_22),X_23)
| addition(X_22,X_23) = addition(X_23,addition(X_22,addition(X_22,X_23))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_22,X_23),X_22),X_23),addition(X_23,addition(X_22,addition(X_22,X_23)))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
addition(X_22,X_23) = addition(X_23,addition(X_22,addition(X_22,X_23))),
inference(resolve,[$cnf( $equal(addition(X_22,X_23),addition(addition(addition(X_22,X_23),X_22),X_23)) )],[refute_0_400,refute_0_435]) ).
cnf(refute_0_437,plain,
addition(X_22,addition(X_22,X_23)) = addition(addition(X_22,X_22),X_23),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_22)),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).
cnf(refute_0_438,plain,
addition(X_22,X_22) = X_22,
inference(subst,[],[refute_0_96:[bind(A,$fot(X_22))]]) ).
cnf(refute_0_439,plain,
( addition(X_22,X_22) != X_22
| addition(X_22,addition(X_22,X_23)) != addition(addition(X_22,X_22),X_23)
| addition(X_22,addition(X_22,X_23)) = addition(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_22,addition(X_22,X_23)),addition(addition(X_22,X_22),X_23)) ),[1,0],$fot(X_22)]]) ).
cnf(refute_0_440,plain,
( addition(X_22,addition(X_22,X_23)) != addition(addition(X_22,X_22),X_23)
| addition(X_22,addition(X_22,X_23)) = addition(X_22,X_23) ),
inference(resolve,[$cnf( $equal(addition(X_22,X_22),X_22) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
addition(X_22,addition(X_22,X_23)) = addition(X_22,X_23),
inference(resolve,[$cnf( $equal(addition(X_22,addition(X_22,X_23)),addition(addition(X_22,X_22),X_23)) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
addition(X_23,addition(X_22,addition(X_22,X_23))) = addition(X_23,addition(X_22,addition(X_22,X_23))),
introduced(tautology,[refl,[$fot(addition(X_23,addition(X_22,addition(X_22,X_23))))]]) ).
cnf(refute_0_443,plain,
( addition(X_22,addition(X_22,X_23)) != addition(X_22,X_23)
| addition(X_23,addition(X_22,addition(X_22,X_23))) != addition(X_23,addition(X_22,addition(X_22,X_23)))
| addition(X_23,addition(X_22,addition(X_22,X_23))) = addition(X_23,addition(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_23,addition(X_22,addition(X_22,X_23))),addition(X_23,addition(X_22,addition(X_22,X_23)))) ),[1,1],$fot(addition(X_22,X_23))]]) ).
cnf(refute_0_444,plain,
( addition(X_22,addition(X_22,X_23)) != addition(X_22,X_23)
| addition(X_23,addition(X_22,addition(X_22,X_23))) = addition(X_23,addition(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(addition(X_23,addition(X_22,addition(X_22,X_23))),addition(X_23,addition(X_22,addition(X_22,X_23)))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
addition(X_23,addition(X_22,addition(X_22,X_23))) = addition(X_23,addition(X_22,X_23)),
inference(resolve,[$cnf( $equal(addition(X_22,addition(X_22,X_23)),addition(X_22,X_23)) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
( addition(X_22,X_23) != addition(X_23,addition(X_22,addition(X_22,X_23)))
| addition(X_23,addition(X_22,addition(X_22,X_23))) != addition(X_23,addition(X_22,X_23))
| addition(X_22,X_23) = addition(X_23,addition(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_22,X_23),addition(X_23,addition(X_22,X_23))) ),[0],$fot(addition(X_23,addition(X_22,addition(X_22,X_23))))]]) ).
cnf(refute_0_447,plain,
( addition(X_22,X_23) != addition(X_23,addition(X_22,addition(X_22,X_23)))
| addition(X_22,X_23) = addition(X_23,addition(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(addition(X_23,addition(X_22,addition(X_22,X_23))),addition(X_23,addition(X_22,X_23))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
addition(X_22,X_23) = addition(X_23,addition(X_22,X_23)),
inference(resolve,[$cnf( $equal(addition(X_22,X_23),addition(X_23,addition(X_22,addition(X_22,X_23)))) )],[refute_0_436,refute_0_447]) ).
cnf(refute_0_449,plain,
addition(multiplication(X_358,X_360),multiplication(X_359,X_360)) = addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))),
inference(subst,[],[refute_0_448:[bind(X_22,$fot(multiplication(X_358,X_360))),bind(X_23,$fot(multiplication(X_359,X_360)))]]) ).
cnf(refute_0_450,plain,
multiplication(addition(X_358,X_359),X_360) = addition(multiplication(X_358,X_360),multiplication(X_359,X_360)),
inference(subst,[],[refute_0_322:[bind(A,$fot(X_358)),bind(B,$fot(X_359)),bind(C,$fot(X_360))]]) ).
cnf(refute_0_451,plain,
( multiplication(addition(X_358,X_359),X_360) != addition(multiplication(X_358,X_360),multiplication(X_359,X_360))
| addition(multiplication(X_358,X_360),multiplication(X_359,X_360)) = multiplication(addition(X_358,X_359),X_360) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(multiplication(addition(X_358,X_359),X_360))),bind(Y,$fot(addition(multiplication(X_358,X_360),multiplication(X_359,X_360))))]]) ).
cnf(refute_0_452,plain,
addition(multiplication(X_358,X_360),multiplication(X_359,X_360)) = multiplication(addition(X_358,X_359),X_360),
inference(resolve,[$cnf( $equal(multiplication(addition(X_358,X_359),X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
( addition(multiplication(X_358,X_360),multiplication(X_359,X_360)) != addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360)))
| addition(multiplication(X_358,X_360),multiplication(X_359,X_360)) != multiplication(addition(X_358,X_359),X_360)
| multiplication(addition(X_358,X_359),X_360) = addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_358,X_360),multiplication(X_359,X_360)),addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360)))) ),[0],$fot(multiplication(addition(X_358,X_359),X_360))]]) ).
cnf(refute_0_454,plain,
( addition(multiplication(X_358,X_360),multiplication(X_359,X_360)) != addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360)))
| multiplication(addition(X_358,X_359),X_360) = addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_358,X_360),multiplication(X_359,X_360)),multiplication(addition(X_358,X_359),X_360)) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
multiplication(addition(X_358,X_359),X_360) = addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))),
inference(resolve,[$cnf( $equal(addition(multiplication(X_358,X_360),multiplication(X_359,X_360)),addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360)))) )],[refute_0_449,refute_0_454]) ).
cnf(refute_0_456,plain,
addition(X_359,addition(X_359,X_358)) = addition(X_359,X_358),
inference(subst,[],[refute_0_441:[bind(X_22,$fot(X_359)),bind(X_23,$fot(X_358))]]) ).
cnf(refute_0_457,plain,
multiplication(addition(X_359,addition(X_359,X_358)),X_360) = multiplication(addition(X_359,addition(X_359,X_358)),X_360),
introduced(tautology,[refl,[$fot(multiplication(addition(X_359,addition(X_359,X_358)),X_360))]]) ).
cnf(refute_0_458,plain,
( addition(X_359,addition(X_359,X_358)) != addition(X_359,X_358)
| multiplication(addition(X_359,addition(X_359,X_358)),X_360) != multiplication(addition(X_359,addition(X_359,X_358)),X_360)
| multiplication(addition(X_359,addition(X_359,X_358)),X_360) = multiplication(addition(X_359,X_358),X_360) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_359,addition(X_359,X_358)),X_360),multiplication(addition(X_359,addition(X_359,X_358)),X_360)) ),[1,0],$fot(addition(X_359,X_358))]]) ).
cnf(refute_0_459,plain,
( addition(X_359,addition(X_359,X_358)) != addition(X_359,X_358)
| multiplication(addition(X_359,addition(X_359,X_358)),X_360) = multiplication(addition(X_359,X_358),X_360) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_359,addition(X_359,X_358)),X_360),multiplication(addition(X_359,addition(X_359,X_358)),X_360)) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiplication(addition(X_359,addition(X_359,X_358)),X_360) = multiplication(addition(X_359,X_358),X_360),
inference(resolve,[$cnf( $equal(addition(X_359,addition(X_359,X_358)),addition(X_359,X_358)) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_462,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_322,refute_0_461]) ).
cnf(refute_0_463,plain,
addition(multiplication(X_359,X_360),multiplication(addition(X_359,X_358),X_360)) = multiplication(addition(X_359,addition(X_359,X_358)),X_360),
inference(subst,[],[refute_0_462:[bind(A,$fot(X_359)),bind(B,$fot(addition(X_359,X_358))),bind(C,$fot(X_360))]]) ).
cnf(refute_0_464,plain,
addition(A,addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) = addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A)),
inference(subst,[],[refute_0_423:[bind(X_21,$fot(multiplication(X_358,X_360))),bind(X_22,$fot(multiplication(X_359,X_360)))]]) ).
cnf(refute_0_465,plain,
( addition(A,addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) != addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A))
| addition(multiplication(X_358,X_360),multiplication(X_359,X_360)) != multiplication(addition(X_358,X_359),X_360)
| addition(A,multiplication(addition(X_358,X_359),X_360)) = addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(multiplication(X_358,X_360),multiplication(X_359,X_360))),addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A))) ),[0,1],$fot(multiplication(addition(X_358,X_359),X_360))]]) ).
cnf(refute_0_466,plain,
( addition(A,addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) != addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A))
| addition(A,multiplication(addition(X_358,X_359),X_360)) = addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_358,X_360),multiplication(X_359,X_360)),multiplication(addition(X_358,X_359),X_360)) )],[refute_0_452,refute_0_465]) ).
cnf(refute_0_467,plain,
addition(A,multiplication(addition(X_358,X_359),X_360)) = addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A)),
inference(resolve,[$cnf( $equal(addition(A,addition(multiplication(X_358,X_360),multiplication(X_359,X_360))),addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A))) )],[refute_0_464,refute_0_466]) ).
cnf(refute_0_468,plain,
( addition(A,multiplication(addition(X_358,X_359),X_360)) != addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A))
| addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A)) = addition(A,multiplication(addition(X_358,X_359),X_360)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(A,multiplication(addition(X_358,X_359),X_360)))),bind(Y,$fot(addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A))))]]) ).
cnf(refute_0_469,plain,
addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A)) = addition(A,multiplication(addition(X_358,X_359),X_360)),
inference(resolve,[$cnf( $equal(addition(A,multiplication(addition(X_358,X_359),X_360)),addition(multiplication(X_358,X_360),addition(multiplication(X_359,X_360),A))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) = addition(multiplication(X_359,X_360),multiplication(addition(X_359,X_358),X_360)),
inference(subst,[],[refute_0_469:[bind(A,$fot(multiplication(X_359,X_360))),bind(X_358,$fot(X_359)),bind(X_359,$fot(X_358))]]) ).
cnf(refute_0_471,plain,
( addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) != addition(multiplication(X_359,X_360),multiplication(addition(X_359,X_358),X_360))
| addition(multiplication(X_359,X_360),multiplication(addition(X_359,X_358),X_360)) != multiplication(addition(X_359,addition(X_359,X_358)),X_360)
| addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) = multiplication(addition(X_359,addition(X_359,X_358)),X_360) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))))),bind(Y,$fot(addition(multiplication(X_359,X_360),multiplication(addition(X_359,X_358),X_360)))),bind(Z,$fot(multiplication(addition(X_359,addition(X_359,X_358)),X_360)))]]) ).
cnf(refute_0_472,plain,
( addition(multiplication(X_359,X_360),multiplication(addition(X_359,X_358),X_360)) != multiplication(addition(X_359,addition(X_359,X_358)),X_360)
| addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) = multiplication(addition(X_359,addition(X_359,X_358)),X_360) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))),addition(multiplication(X_359,X_360),multiplication(addition(X_359,X_358),X_360))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) = multiplication(addition(X_359,addition(X_359,X_358)),X_360),
inference(resolve,[$cnf( $equal(addition(multiplication(X_359,X_360),multiplication(addition(X_359,X_358),X_360)),multiplication(addition(X_359,addition(X_359,X_358)),X_360)) )],[refute_0_463,refute_0_472]) ).
cnf(refute_0_474,plain,
( addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) != multiplication(addition(X_359,addition(X_359,X_358)),X_360)
| multiplication(addition(X_359,addition(X_359,X_358)),X_360) != multiplication(addition(X_359,X_358),X_360)
| addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) = multiplication(addition(X_359,X_358),X_360) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))))),bind(Y,$fot(multiplication(addition(X_359,addition(X_359,X_358)),X_360))),bind(Z,$fot(multiplication(addition(X_359,X_358),X_360)))]]) ).
cnf(refute_0_475,plain,
( multiplication(addition(X_359,addition(X_359,X_358)),X_360) != multiplication(addition(X_359,X_358),X_360)
| addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) = multiplication(addition(X_359,X_358),X_360) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))),multiplication(addition(X_359,addition(X_359,X_358)),X_360)) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) = multiplication(addition(X_359,X_358),X_360),
inference(resolve,[$cnf( $equal(multiplication(addition(X_359,addition(X_359,X_358)),X_360),multiplication(addition(X_359,X_358),X_360)) )],[refute_0_460,refute_0_475]) ).
cnf(refute_0_477,plain,
( addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))) != multiplication(addition(X_359,X_358),X_360)
| multiplication(addition(X_358,X_359),X_360) != addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360)))
| multiplication(addition(X_358,X_359),X_360) = multiplication(addition(X_359,X_358),X_360) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_358,X_359),X_360),addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360)))) ),[1],$fot(multiplication(addition(X_359,X_358),X_360))]]) ).
cnf(refute_0_478,plain,
( multiplication(addition(X_358,X_359),X_360) != addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360)))
| multiplication(addition(X_358,X_359),X_360) = multiplication(addition(X_359,X_358),X_360) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360))),multiplication(addition(X_359,X_358),X_360)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
multiplication(addition(X_358,X_359),X_360) = multiplication(addition(X_359,X_358),X_360),
inference(resolve,[$cnf( $equal(multiplication(addition(X_358,X_359),X_360),addition(multiplication(X_359,X_360),addition(multiplication(X_358,X_360),multiplication(X_359,X_360)))) )],[refute_0_455,refute_0_478]) ).
cnf(refute_0_480,plain,
( multiplication(addition(X_358,X_359),X_360) != multiplication(addition(X_359,X_358),X_360)
| multiplication(addition(X_359,X_358),X_360) = multiplication(addition(X_358,X_359),X_360) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(multiplication(addition(X_358,X_359),X_360))),bind(Y,$fot(multiplication(addition(X_359,X_358),X_360)))]]) ).
cnf(refute_0_481,plain,
multiplication(addition(X_359,X_358),X_360) = multiplication(addition(X_358,X_359),X_360),
inference(resolve,[$cnf( $equal(multiplication(addition(X_358,X_359),X_360),multiplication(addition(X_359,X_358),X_360)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
multiplication(addition(antidomain(codomain(X0)),coantidomain(X0)),X_143) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143),
inference(subst,[],[refute_0_481:[bind(X_358,$fot(coantidomain(X0))),bind(X_359,$fot(antidomain(codomain(X0)))),bind(X_360,$fot(X_143))]]) ).
cnf(refute_0_483,plain,
addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) = multiplication(addition(antidomain(codomain(X0)),coantidomain(X0)),X_143),
inference(subst,[],[refute_0_462:[bind(A,$fot(antidomain(codomain(X0)))),bind(B,$fot(coantidomain(X0))),bind(C,$fot(X_143))]]) ).
cnf(refute_0_484,plain,
( addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) != multiplication(addition(antidomain(codomain(X0)),coantidomain(X0)),X_143)
| multiplication(addition(antidomain(codomain(X0)),coantidomain(X0)),X_143) != multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)
| addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)))),bind(Y,$fot(multiplication(addition(antidomain(codomain(X0)),coantidomain(X0)),X_143))),bind(Z,$fot(multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)))]]) ).
cnf(refute_0_485,plain,
( multiplication(addition(antidomain(codomain(X0)),coantidomain(X0)),X_143) != multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)
| addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)),multiplication(addition(antidomain(codomain(X0)),coantidomain(X0)),X_143)) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(codomain(X0)),coantidomain(X0)),X_143),multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
( addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)) != multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)
| multiplication(antidomain(codomain(X0)),X_143) != addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))
| multiplication(antidomain(codomain(X0)),X_143) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(codomain(X0)),X_143),addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))) ),[1],$fot(multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143))]]) ).
cnf(refute_0_488,plain,
( multiplication(antidomain(codomain(X0)),X_143) != addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))
| multiplication(antidomain(codomain(X0)),X_143) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143)),multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
( multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)) != addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))
| multiplication(antidomain(codomain(X0)),X_143) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),X_143),addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))) )],[refute_0_395,refute_0_488]) ).
cnf(refute_0_490,plain,
multiplication(antidomain(codomain(X0)),X_143) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143),
inference(resolve,[$cnf( $equal(multiplication(addition(one,coantidomain(X0)),multiplication(antidomain(codomain(X0)),X_143)),addition(multiplication(antidomain(codomain(X0)),X_143),multiplication(coantidomain(X0),X_143))) )],[refute_0_331,refute_0_489]) ).
cnf(refute_0_491,plain,
multiplication(addition(one,antidomain(X_1)),X_369) = addition(X_369,multiplication(antidomain(X_1),X_369)),
inference(subst,[],[refute_0_327:[bind(X_359,$fot(antidomain(X_1))),bind(X_360,$fot(X_369))]]) ).
cnf(refute_0_492,plain,
( addition(one,antidomain(X_1)) != one
| multiplication(addition(one,antidomain(X_1)),X_369) != addition(X_369,multiplication(antidomain(X_1),X_369))
| multiplication(one,X_369) = addition(X_369,multiplication(antidomain(X_1),X_369)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_1)),X_369),addition(X_369,multiplication(antidomain(X_1),X_369))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_493,plain,
( multiplication(addition(one,antidomain(X_1)),X_369) != addition(X_369,multiplication(antidomain(X_1),X_369))
| multiplication(one,X_369) = addition(X_369,multiplication(antidomain(X_1),X_369)) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_1)),one) )],[refute_0_143,refute_0_492]) ).
cnf(refute_0_494,plain,
multiplication(one,X_369) = addition(X_369,multiplication(antidomain(X_1),X_369)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_1)),X_369),addition(X_369,multiplication(antidomain(X_1),X_369))) )],[refute_0_491,refute_0_493]) ).
cnf(refute_0_495,plain,
multiplication(one,X_369) = X_369,
inference(subst,[],[refute_0_205:[bind(A,$fot(X_369))]]) ).
cnf(refute_0_496,plain,
( multiplication(one,X_369) != X_369
| multiplication(one,X_369) != addition(X_369,multiplication(antidomain(X_1),X_369))
| X_369 = addition(X_369,multiplication(antidomain(X_1),X_369)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_369),addition(X_369,multiplication(antidomain(X_1),X_369))) ),[0],$fot(X_369)]]) ).
cnf(refute_0_497,plain,
( multiplication(one,X_369) != addition(X_369,multiplication(antidomain(X_1),X_369))
| X_369 = addition(X_369,multiplication(antidomain(X_1),X_369)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_369),X_369) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
X_369 = addition(X_369,multiplication(antidomain(X_1),X_369)),
inference(resolve,[$cnf( $equal(multiplication(one,X_369),addition(X_369,multiplication(antidomain(X_1),X_369))) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
coantidomain(X0) = addition(coantidomain(X0),multiplication(antidomain(codomain(X0)),coantidomain(X0))),
inference(subst,[],[refute_0_498:[bind(X_1,$fot(codomain(X0))),bind(X_369,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_500,plain,
( antidomain(codomain(X0)) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| multiplication(antidomain(codomain(X0)),coantidomain(X0)) = antidomain(codomain(X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(antidomain(codomain(X0)))),bind(Y,$fot(multiplication(antidomain(codomain(X0)),coantidomain(X0))))]]) ).
cnf(refute_0_501,plain,
multiplication(antidomain(codomain(X0)),coantidomain(X0)) = antidomain(codomain(X0)),
inference(resolve,[$cnf( $equal(antidomain(codomain(X0)),multiplication(antidomain(codomain(X0)),coantidomain(X0))) )],[refute_0_44,refute_0_500]) ).
cnf(refute_0_502,plain,
( coantidomain(X0) != addition(coantidomain(X0),multiplication(antidomain(codomain(X0)),coantidomain(X0)))
| multiplication(antidomain(codomain(X0)),coantidomain(X0)) != antidomain(codomain(X0))
| coantidomain(X0) = addition(coantidomain(X0),antidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(X0),addition(coantidomain(X0),multiplication(antidomain(codomain(X0)),coantidomain(X0)))) ),[1,1],$fot(antidomain(codomain(X0)))]]) ).
cnf(refute_0_503,plain,
( coantidomain(X0) != addition(coantidomain(X0),multiplication(antidomain(codomain(X0)),coantidomain(X0)))
| coantidomain(X0) = addition(coantidomain(X0),antidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),coantidomain(X0)),antidomain(codomain(X0))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
coantidomain(X0) = addition(coantidomain(X0),antidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(coantidomain(X0),addition(coantidomain(X0),multiplication(antidomain(codomain(X0)),coantidomain(X0)))) )],[refute_0_499,refute_0_503]) ).
cnf(refute_0_505,plain,
( coantidomain(X0) != addition(coantidomain(X0),antidomain(codomain(X0)))
| addition(coantidomain(X0),antidomain(codomain(X0))) = coantidomain(X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(coantidomain(X0))),bind(Y,$fot(addition(coantidomain(X0),antidomain(codomain(X0)))))]]) ).
cnf(refute_0_506,plain,
addition(coantidomain(X0),antidomain(codomain(X0))) = coantidomain(X0),
inference(resolve,[$cnf( $equal(coantidomain(X0),addition(coantidomain(X0),antidomain(codomain(X0)))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) = multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143),
introduced(tautology,[refl,[$fot(multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143))]]) ).
cnf(refute_0_508,plain,
( addition(coantidomain(X0),antidomain(codomain(X0))) != coantidomain(X0)
| multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) != multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)
| multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) = multiplication(coantidomain(X0),X_143) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143),multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)) ),[1,0],$fot(coantidomain(X0))]]) ).
cnf(refute_0_509,plain,
( addition(coantidomain(X0),antidomain(codomain(X0))) != coantidomain(X0)
| multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) = multiplication(coantidomain(X0),X_143) ),
inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143),multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) = multiplication(coantidomain(X0),X_143),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),antidomain(codomain(X0))),coantidomain(X0)) )],[refute_0_506,refute_0_509]) ).
cnf(refute_0_511,plain,
( multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143) != multiplication(coantidomain(X0),X_143)
| multiplication(antidomain(codomain(X0)),X_143) != multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)
| multiplication(antidomain(codomain(X0)),X_143) = multiplication(coantidomain(X0),X_143) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(codomain(X0)),X_143),multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)) ),[1],$fot(multiplication(coantidomain(X0),X_143))]]) ).
cnf(refute_0_512,plain,
( multiplication(antidomain(codomain(X0)),X_143) != multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)
| multiplication(antidomain(codomain(X0)),X_143) = multiplication(coantidomain(X0),X_143) ),
inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143),multiplication(coantidomain(X0),X_143)) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
multiplication(antidomain(codomain(X0)),X_143) = multiplication(coantidomain(X0),X_143),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),X_143),multiplication(addition(coantidomain(X0),antidomain(codomain(X0))),X_143)) )],[refute_0_490,refute_0_512]) ).
cnf(refute_0_514,plain,
multiplication(antidomain(codomain(X0)),coantidomain(X0)) = multiplication(coantidomain(X0),coantidomain(X0)),
inference(subst,[],[refute_0_513:[bind(X_143,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_515,plain,
( multiplication(antidomain(codomain(X0)),coantidomain(X0)) != multiplication(coantidomain(X0),coantidomain(X0))
| multiplication(coantidomain(X0),coantidomain(X0)) != coantidomain(X0)
| multiplication(antidomain(codomain(X0)),coantidomain(X0)) = coantidomain(X0) ),
inference(subst,[],[refute_0_182:[bind(X,$fot(multiplication(antidomain(codomain(X0)),coantidomain(X0)))),bind(Y,$fot(multiplication(coantidomain(X0),coantidomain(X0)))),bind(Z,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_516,plain,
( multiplication(coantidomain(X0),coantidomain(X0)) != coantidomain(X0)
| multiplication(antidomain(codomain(X0)),coantidomain(X0)) = coantidomain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),coantidomain(X0)),multiplication(coantidomain(X0),coantidomain(X0))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiplication(antidomain(codomain(X0)),coantidomain(X0)) = coantidomain(X0),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X0),coantidomain(X0)),coantidomain(X0)) )],[refute_0_321,refute_0_516]) ).
cnf(refute_0_518,plain,
( antidomain(codomain(X0)) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| multiplication(antidomain(codomain(X0)),coantidomain(X0)) != coantidomain(X0)
| antidomain(codomain(X0)) = coantidomain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(codomain(X0)),coantidomain(X0)) ),[0],$fot(multiplication(antidomain(codomain(X0)),coantidomain(X0)))]]) ).
cnf(refute_0_519,plain,
( antidomain(codomain(X0)) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| antidomain(codomain(X0)) = coantidomain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),coantidomain(X0)),coantidomain(X0)) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
antidomain(codomain(X0)) = coantidomain(X0),
inference(resolve,[$cnf( $equal(antidomain(codomain(X0)),multiplication(antidomain(codomain(X0)),coantidomain(X0))) )],[refute_0_44,refute_0_519]) ).
cnf(refute_0_521,plain,
antidomain(codomain(X_384)) = coantidomain(X_384),
inference(subst,[],[refute_0_520:[bind(X0,$fot(X_384))]]) ).
cnf(refute_0_522,plain,
( antidomain(codomain(X_384)) != coantidomain(X_384)
| domain(codomain(X_384)) != antidomain(antidomain(codomain(X_384)))
| domain(codomain(X_384)) = antidomain(coantidomain(X_384)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(codomain(X_384)),antidomain(antidomain(codomain(X_384)))) ),[1,0],$fot(coantidomain(X_384))]]) ).
cnf(refute_0_523,plain,
( domain(codomain(X_384)) != antidomain(antidomain(codomain(X_384)))
| domain(codomain(X_384)) = antidomain(coantidomain(X_384)) ),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_384)),coantidomain(X_384)) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
domain(codomain(X_384)) = antidomain(coantidomain(X_384)),
inference(resolve,[$cnf( $equal(domain(codomain(X_384)),antidomain(antidomain(codomain(X_384)))) )],[refute_0_2,refute_0_523]) ).
cnf(refute_0_525,plain,
domain(codomain(skolemFOFtoCNF_X0)) = antidomain(coantidomain(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_524:[bind(X_384,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_526,plain,
( antidomain(coantidomain(skolemFOFtoCNF_X0)) != codomain(skolemFOFtoCNF_X0)
| domain(codomain(skolemFOFtoCNF_X0)) != antidomain(coantidomain(skolemFOFtoCNF_X0))
| domain(codomain(skolemFOFtoCNF_X0)) = codomain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(codomain(skolemFOFtoCNF_X0)),antidomain(coantidomain(skolemFOFtoCNF_X0))) ),[1],$fot(codomain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_527,plain,
( antidomain(coantidomain(skolemFOFtoCNF_X0)) != codomain(skolemFOFtoCNF_X0)
| domain(codomain(skolemFOFtoCNF_X0)) = codomain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(domain(codomain(skolemFOFtoCNF_X0)),antidomain(coantidomain(skolemFOFtoCNF_X0))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
antidomain(coantidomain(skolemFOFtoCNF_X0)) != codomain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(domain(codomain(skolemFOFtoCNF_X0)),codomain(skolemFOFtoCNF_X0)) )],[refute_0_527,refute_0_0]) ).
cnf(refute_0_529,plain,
antidomain(X0) = addition(antidomain(X0),multiplication(antidomain(domain(X0)),antidomain(X0))),
inference(subst,[],[refute_0_498:[bind(X_1,$fot(domain(X0))),bind(X_369,$fot(antidomain(X0)))]]) ).
cnf(refute_0_530,plain,
multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(subst,[],[refute_0_14:[bind(X_85,$fot(antidomain(X0))),bind(X_86,$fot(domain(X0)))]]) ).
cnf(refute_0_531,plain,
( addition(antidomain(X0),domain(X0)) != one
| multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_532,plain,
( multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_91,refute_0_531]) ).
cnf(refute_0_533,plain,
multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_530,refute_0_532]) ).
cnf(refute_0_534,plain,
multiplication(antidomain(domain(X0)),one) = antidomain(domain(X0)),
inference(subst,[],[refute_0_40:[bind(A,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_535,plain,
( multiplication(antidomain(domain(X0)),one) != antidomain(domain(X0))
| multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0],$fot(antidomain(domain(X0)))]]) ).
cnf(refute_0_536,plain,
( multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),antidomain(domain(X0))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
( antidomain(domain(X0)) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),antidomain(X0)) = antidomain(domain(X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(antidomain(domain(X0)))),bind(Y,$fot(multiplication(antidomain(domain(X0)),antidomain(X0))))]]) ).
cnf(refute_0_539,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = antidomain(domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
( antidomain(X0) != addition(antidomain(X0),multiplication(antidomain(domain(X0)),antidomain(X0)))
| multiplication(antidomain(domain(X0)),antidomain(X0)) != antidomain(domain(X0))
| antidomain(X0) = addition(antidomain(X0),antidomain(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(X0),addition(antidomain(X0),multiplication(antidomain(domain(X0)),antidomain(X0)))) ),[1,1],$fot(antidomain(domain(X0)))]]) ).
cnf(refute_0_541,plain,
( antidomain(X0) != addition(antidomain(X0),multiplication(antidomain(domain(X0)),antidomain(X0)))
| antidomain(X0) = addition(antidomain(X0),antidomain(domain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),antidomain(domain(X0))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
antidomain(X0) = addition(antidomain(X0),antidomain(domain(X0))),
inference(resolve,[$cnf( $equal(antidomain(X0),addition(antidomain(X0),multiplication(antidomain(domain(X0)),antidomain(X0)))) )],[refute_0_529,refute_0_541]) ).
cnf(refute_0_543,plain,
addition(antidomain(X0),antidomain(domain(X0))) = antidomain(domain(X0)),
inference(subst,[],[refute_0_251:[bind(X_43,$fot(X0))]]) ).
cnf(refute_0_544,plain,
( addition(antidomain(X0),antidomain(domain(X0))) != antidomain(domain(X0))
| antidomain(X0) != addition(antidomain(X0),antidomain(domain(X0)))
| antidomain(X0) = antidomain(domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(X0),addition(antidomain(X0),antidomain(domain(X0)))) ),[1],$fot(antidomain(domain(X0)))]]) ).
cnf(refute_0_545,plain,
( antidomain(X0) != addition(antidomain(X0),antidomain(domain(X0)))
| antidomain(X0) = antidomain(domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(domain(X0))),antidomain(domain(X0))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
antidomain(X0) = antidomain(domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(X0),addition(antidomain(X0),antidomain(domain(X0)))) )],[refute_0_542,refute_0_545]) ).
cnf(refute_0_547,plain,
( antidomain(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = antidomain(X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(antidomain(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_548,plain,
antidomain(domain(X0)) = antidomain(X0),
inference(resolve,[$cnf( $equal(antidomain(X0),antidomain(domain(X0))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
antidomain(domain(X_1)) = antidomain(X_1),
inference(subst,[],[refute_0_548:[bind(X0,$fot(X_1))]]) ).
cnf(refute_0_550,plain,
( antidomain(domain(X_1)) != antidomain(X_1)
| domain(antidomain(X_1)) != antidomain(domain(X_1))
| domain(antidomain(X_1)) = antidomain(X_1) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_1)),antidomain(domain(X_1))) ),[1],$fot(antidomain(X_1))]]) ).
cnf(refute_0_551,plain,
( domain(antidomain(X_1)) != antidomain(domain(X_1))
| domain(antidomain(X_1)) = antidomain(X_1) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_1)),antidomain(X_1)) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
domain(antidomain(X_1)) = antidomain(X_1),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1)),antidomain(domain(X_1))) )],[refute_0_112,refute_0_551]) ).
cnf(refute_0_553,plain,
domain(antidomain(codomain(X_384))) = antidomain(codomain(X_384)),
inference(subst,[],[refute_0_552:[bind(X_1,$fot(codomain(X_384)))]]) ).
cnf(refute_0_554,plain,
( antidomain(codomain(X_384)) != coantidomain(X_384)
| domain(antidomain(codomain(X_384))) != antidomain(codomain(X_384))
| domain(coantidomain(X_384)) = antidomain(codomain(X_384)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(codomain(X_384))),antidomain(codomain(X_384))) ),[0,0],$fot(coantidomain(X_384))]]) ).
cnf(refute_0_555,plain,
( domain(antidomain(codomain(X_384))) != antidomain(codomain(X_384))
| domain(coantidomain(X_384)) = antidomain(codomain(X_384)) ),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_384)),coantidomain(X_384)) )],[refute_0_521,refute_0_554]) ).
cnf(refute_0_556,plain,
domain(coantidomain(X_384)) = antidomain(codomain(X_384)),
inference(resolve,[$cnf( $equal(domain(antidomain(codomain(X_384))),antidomain(codomain(X_384))) )],[refute_0_553,refute_0_555]) ).
cnf(refute_0_557,plain,
( antidomain(codomain(X_384)) != coantidomain(X_384)
| domain(coantidomain(X_384)) != antidomain(codomain(X_384))
| domain(coantidomain(X_384)) = coantidomain(X_384) ),
introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(X_384)),antidomain(codomain(X_384))) ),[1],$fot(coantidomain(X_384))]]) ).
cnf(refute_0_558,plain,
( domain(coantidomain(X_384)) != antidomain(codomain(X_384))
| domain(coantidomain(X_384)) = coantidomain(X_384) ),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_384)),coantidomain(X_384)) )],[refute_0_521,refute_0_557]) ).
cnf(refute_0_559,plain,
domain(coantidomain(X_384)) = coantidomain(X_384),
inference(resolve,[$cnf( $equal(domain(coantidomain(X_384)),antidomain(codomain(X_384))) )],[refute_0_556,refute_0_558]) ).
cnf(refute_0_560,plain,
domain(coantidomain(coantidomain(X0))) = coantidomain(coantidomain(X0)),
inference(subst,[],[refute_0_559:[bind(X_384,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_561,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| domain(coantidomain(coantidomain(X0))) != coantidomain(coantidomain(X0))
| domain(codomain(X0)) = coantidomain(coantidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(coantidomain(coantidomain(X0))),coantidomain(coantidomain(X0))) ),[0,0],$fot(codomain(X0))]]) ).
cnf(refute_0_562,plain,
( domain(coantidomain(coantidomain(X0))) != coantidomain(coantidomain(X0))
| domain(codomain(X0)) = coantidomain(coantidomain(X0)) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_29,refute_0_561]) ).
cnf(refute_0_563,plain,
domain(codomain(X0)) = coantidomain(coantidomain(X0)),
inference(resolve,[$cnf( $equal(domain(coantidomain(coantidomain(X0))),coantidomain(coantidomain(X0))) )],[refute_0_560,refute_0_562]) ).
cnf(refute_0_564,plain,
domain(codomain(X0)) = antidomain(coantidomain(X0)),
inference(subst,[],[refute_0_524:[bind(X_384,$fot(X0))]]) ).
cnf(refute_0_565,plain,
( domain(codomain(X0)) != antidomain(coantidomain(X0))
| domain(codomain(X0)) != coantidomain(coantidomain(X0))
| antidomain(coantidomain(X0)) = coantidomain(coantidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(codomain(X0)),coantidomain(coantidomain(X0))) ),[0],$fot(antidomain(coantidomain(X0)))]]) ).
cnf(refute_0_566,plain,
( domain(codomain(X0)) != coantidomain(coantidomain(X0))
| antidomain(coantidomain(X0)) = coantidomain(coantidomain(X0)) ),
inference(resolve,[$cnf( $equal(domain(codomain(X0)),antidomain(coantidomain(X0))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
( antidomain(coantidomain(X0)) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) != codomain(X0)
| antidomain(coantidomain(X0)) = codomain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(coantidomain(X0)),codomain(X0)) ),[0],$fot(coantidomain(coantidomain(X0)))]]) ).
cnf(refute_0_568,plain,
( antidomain(coantidomain(X0)) != coantidomain(coantidomain(X0))
| antidomain(coantidomain(X0)) = codomain(X0) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_29,refute_0_567]) ).
cnf(refute_0_569,plain,
( domain(codomain(X0)) != coantidomain(coantidomain(X0))
| antidomain(coantidomain(X0)) = codomain(X0) ),
inference(resolve,[$cnf( $equal(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))) )],[refute_0_566,refute_0_568]) ).
cnf(refute_0_570,plain,
antidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(domain(codomain(X0)),coantidomain(coantidomain(X0))) )],[refute_0_563,refute_0_569]) ).
cnf(refute_0_571,plain,
antidomain(coantidomain(skolemFOFtoCNF_X0)) = codomain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_570:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_572,plain,
( antidomain(coantidomain(skolemFOFtoCNF_X0)) != codomain(skolemFOFtoCNF_X0)
| codomain(skolemFOFtoCNF_X0) != codomain(skolemFOFtoCNF_X0)
| antidomain(coantidomain(skolemFOFtoCNF_X0)) = codomain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(coantidomain(skolemFOFtoCNF_X0)),codomain(skolemFOFtoCNF_X0)) ),[0],$fot(codomain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_573,plain,
( codomain(skolemFOFtoCNF_X0) != codomain(skolemFOFtoCNF_X0)
| antidomain(coantidomain(skolemFOFtoCNF_X0)) = codomain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(antidomain(coantidomain(skolemFOFtoCNF_X0)),codomain(skolemFOFtoCNF_X0)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
codomain(skolemFOFtoCNF_X0) != codomain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(antidomain(coantidomain(skolemFOFtoCNF_X0)),codomain(skolemFOFtoCNF_X0)) )],[refute_0_573,refute_0_528]) ).
cnf(refute_0_575,plain,
codomain(skolemFOFtoCNF_X0) = codomain(skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(codomain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_576,plain,
$false,
inference(resolve,[$cnf( $equal(codomain(skolemFOFtoCNF_X0),codomain(skolemFOFtoCNF_X0)) )],[refute_0_575,refute_0_574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE091+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 14:28:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.69/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/1.88
% 1.69/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.76/1.93
%------------------------------------------------------------------------------